Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,2,Mod(13,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.e (of order \(11\), degree \(10\), 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: | \(1.10193554789\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Root | \(-0.415415 + 0.909632i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 138.121 |
Dual form | 138.2.e.a.73.1 |
$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.415415 | − | 0.909632i | 0.293743 | − | 0.643207i | ||||
\(3\) | −0.959493 | − | 0.281733i | −0.553964 | − | 0.162658i | ||||
\(4\) | −0.654861 | − | 0.755750i | −0.327430 | − | 0.377875i | ||||
\(5\) | 1.27310 | − | 0.818172i | 0.569348 | − | 0.365898i | −0.224072 | − | 0.974573i | \(-0.571935\pi\) |
0.793420 | + | 0.608675i | \(0.208299\pi\) | |||||||
\(6\) | −0.654861 | + | 0.755750i | −0.267346 | + | 0.308533i | ||||
\(7\) | 0.369215 | − | 2.56794i | 0.139550 | − | 0.970592i | −0.792915 | − | 0.609332i | \(-0.791438\pi\) |
0.932465 | − | 0.361260i | \(-0.117653\pi\) | |||||||
\(8\) | −0.959493 | + | 0.281733i | −0.339232 | + | 0.0996075i | ||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | −0.215370 | − | 1.49793i | −0.0681061 | − | 0.473688i | ||||
\(11\) | −2.08004 | − | 4.55466i | −0.627156 | − | 1.37328i | −0.910198 | − | 0.414173i | \(-0.864071\pi\) |
0.283042 | − | 0.959108i | \(-0.408656\pi\) | |||||||
\(12\) | 0.415415 | + | 0.909632i | 0.119920 | + | 0.262588i | ||||
\(13\) | 0.686393 | + | 4.77397i | 0.190371 | + | 1.32406i | 0.831027 | + | 0.556232i | \(0.187753\pi\) |
−0.640656 | + | 0.767828i | \(0.721337\pi\) | |||||||
\(14\) | −2.18251 | − | 1.40261i | −0.583300 | − | 0.374864i | ||||
\(15\) | −1.45204 | + | 0.426356i | −0.374914 | + | 0.110085i | ||||
\(16\) | −0.142315 | + | 0.989821i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 0.565599 | − | 0.652736i | 0.137178 | − | 0.158312i | −0.683004 | − | 0.730415i | \(-0.739327\pi\) |
0.820182 | + | 0.572103i | \(0.193872\pi\) | |||||||
\(18\) | 0.841254 | − | 0.540641i | 0.198285 | − | 0.127430i | ||||
\(19\) | 4.58506 | + | 5.29144i | 1.05189 | + | 1.21394i | 0.976214 | + | 0.216807i | \(0.0695644\pi\) |
0.0756708 | + | 0.997133i | \(0.475890\pi\) | |||||||
\(20\) | −1.45204 | − | 0.426356i | −0.324685 | − | 0.0953362i | ||||
\(21\) | −1.07773 | + | 2.35990i | −0.235180 | + | 0.514973i | ||||
\(22\) | −5.00714 | −1.06753 | ||||||||
\(23\) | 4.66533 | + | 1.11118i | 0.972788 | + | 0.231696i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | −1.12570 | + | 2.46493i | −0.225139 | + | 0.492986i | ||||
\(26\) | 4.62769 | + | 1.35881i | 0.907565 | + | 0.266485i | ||||
\(27\) | −0.654861 | − | 0.755750i | −0.126028 | − | 0.145444i | ||||
\(28\) | −2.18251 | + | 1.40261i | −0.412455 | + | 0.265069i | ||||
\(29\) | −2.03899 | + | 2.35312i | −0.378631 | + | 0.436963i | −0.912795 | − | 0.408417i | \(-0.866081\pi\) |
0.534165 | + | 0.845381i | \(0.320626\pi\) | |||||||
\(30\) | −0.215370 | + | 1.49793i | −0.0393211 | + | 0.273484i | ||||
\(31\) | 1.12671 | − | 0.330833i | 0.202364 | − | 0.0594193i | −0.178980 | − | 0.983853i | \(-0.557280\pi\) |
0.381343 | + | 0.924433i | \(0.375462\pi\) | |||||||
\(32\) | 0.841254 | + | 0.540641i | 0.148714 | + | 0.0955727i | ||||
\(33\) | 0.712591 | + | 4.95618i | 0.124046 | + | 0.862760i | ||||
\(34\) | −0.358791 | − | 0.785643i | −0.0615322 | − | 0.134737i | ||||
\(35\) | −1.63097 | − | 3.57133i | −0.275685 | − | 0.603665i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | −0.506538 | − | 0.325532i | −0.0832743 | − | 0.0535171i | 0.498341 | − | 0.866981i | \(-0.333943\pi\) |
−0.581615 | + | 0.813464i | \(0.697579\pi\) | |||||||
\(38\) | 6.71797 | − | 1.97257i | 1.08980 | − | 0.319994i | ||||
\(39\) | 0.686393 | − | 4.77397i | 0.109911 | − | 0.764446i | ||||
\(40\) | −0.991025 | + | 1.14370i | −0.156695 | + | 0.180835i | ||||
\(41\) | 4.45305 | − | 2.86180i | 0.695450 | − | 0.446939i | −0.144570 | − | 0.989495i | \(-0.546180\pi\) |
0.840020 | + | 0.542556i | \(0.182543\pi\) | |||||||
\(42\) | 1.69894 | + | 1.96068i | 0.262152 | + | 0.302539i | ||||
\(43\) | −1.40014 | − | 0.411119i | −0.213520 | − | 0.0626951i | 0.173223 | − | 0.984883i | \(-0.444582\pi\) |
−0.386743 | + | 0.922188i | \(0.626400\pi\) | |||||||
\(44\) | −2.08004 | + | 4.55466i | −0.313578 | + | 0.686640i | ||||
\(45\) | 1.51334 | 0.225595 | ||||||||
\(46\) | 2.94881 | − | 3.78213i | 0.434778 | − | 0.557645i | ||||
\(47\) | −12.6797 | −1.84952 | −0.924760 | − | 0.380552i | \(-0.875734\pi\) | ||||
−0.924760 | + | 0.380552i | \(0.875734\pi\) | |||||||
\(48\) | 0.415415 | − | 0.909632i | 0.0599600 | − | 0.131294i | ||||
\(49\) | 0.258432 | + | 0.0758824i | 0.0369188 | + | 0.0108403i | ||||
\(50\) | 1.77455 | + | 2.04794i | 0.250959 | + | 0.289622i | ||||
\(51\) | −0.726585 | + | 0.466948i | −0.101742 | + | 0.0653858i | ||||
\(52\) | 3.15843 | − | 3.64502i | 0.437996 | − | 0.505474i | ||||
\(53\) | −0.602392 | + | 4.18973i | −0.0827449 | + | 0.575504i | 0.905700 | + | 0.423920i | \(0.139346\pi\) |
−0.988444 | + | 0.151583i | \(0.951563\pi\) | |||||||
\(54\) | −0.959493 | + | 0.281733i | −0.130570 | + | 0.0383389i | ||||
\(55\) | −6.37459 | − | 4.09670i | −0.859550 | − | 0.552399i | ||||
\(56\) | 0.369215 | + | 2.56794i | 0.0493384 | + | 0.343156i | ||||
\(57\) | −2.90856 | − | 6.36886i | −0.385249 | − | 0.843577i | ||||
\(58\) | 1.29345 | + | 2.83225i | 0.169838 | + | 0.371893i | ||||
\(59\) | −0.566615 | − | 3.94090i | −0.0737670 | − | 0.513061i | −0.992885 | − | 0.119078i | \(-0.962006\pi\) |
0.919118 | − | 0.393983i | \(-0.128903\pi\) | |||||||
\(60\) | 1.27310 | + | 0.818172i | 0.164357 | + | 0.105626i | ||||
\(61\) | 6.96812 | − | 2.04602i | 0.892176 | − | 0.261966i | 0.196655 | − | 0.980473i | \(-0.436992\pi\) |
0.695520 | + | 0.718506i | \(0.255174\pi\) | |||||||
\(62\) | 0.167117 | − | 1.16233i | 0.0212239 | − | 0.147616i | ||||
\(63\) | 1.69894 | − | 1.96068i | 0.214046 | − | 0.247022i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | 4.77977 | + | 5.51615i | 0.592858 | + | 0.684194i | ||||
\(66\) | 4.80432 | + | 1.41067i | 0.591371 | + | 0.173642i | ||||
\(67\) | −6.70359 | + | 14.6788i | −0.818973 | + | 1.79330i | −0.256360 | + | 0.966581i | \(0.582523\pi\) |
−0.562614 | + | 0.826720i | \(0.690204\pi\) | |||||||
\(68\) | −0.863693 | −0.104738 | ||||||||
\(69\) | −4.16330 | − | 2.38054i | −0.501202 | − | 0.286583i | ||||
\(70\) | −3.92613 | −0.469262 | ||||||||
\(71\) | 2.44456 | − | 5.35285i | 0.290116 | − | 0.635266i | −0.707315 | − | 0.706899i | \(-0.750094\pi\) |
0.997431 | + | 0.0716327i | \(0.0228209\pi\) | |||||||
\(72\) | −0.959493 | − | 0.281733i | −0.113077 | − | 0.0332025i | ||||
\(73\) | −9.41782 | − | 10.8687i | −1.10227 | − | 1.27209i | −0.959308 | − | 0.282362i | \(-0.908882\pi\) |
−0.142964 | − | 0.989728i | \(-0.545663\pi\) | |||||||
\(74\) | −0.506538 | + | 0.325532i | −0.0588838 | + | 0.0378423i | ||||
\(75\) | 1.77455 | − | 2.04794i | 0.204907 | − | 0.236476i | ||||
\(76\) | 0.996429 | − | 6.93032i | 0.114298 | − | 0.794962i | ||||
\(77\) | −12.4641 | + | 3.65979i | −1.42041 | + | 0.417071i | ||||
\(78\) | −4.05742 | − | 2.60754i | −0.459412 | − | 0.295246i | ||||
\(79\) | −1.47156 | − | 10.2349i | −0.165564 | − | 1.15152i | −0.887919 | − | 0.459999i | \(-0.847850\pi\) |
0.722356 | − | 0.691522i | \(-0.243059\pi\) | |||||||
\(80\) | 0.628663 | + | 1.37658i | 0.0702867 | + | 0.153906i | ||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | −0.753323 | − | 5.23948i | −0.0831906 | − | 0.578603i | ||||
\(83\) | 2.22176 | + | 1.42784i | 0.243870 | + | 0.156725i | 0.656866 | − | 0.754007i | \(-0.271882\pi\) |
−0.412997 | + | 0.910732i | \(0.635518\pi\) | |||||||
\(84\) | 2.48926 | − | 0.730913i | 0.271601 | − | 0.0797492i | ||||
\(85\) | 0.186014 | − | 1.29376i | 0.0201760 | − | 0.140327i | ||||
\(86\) | −0.955607 | + | 1.10283i | −0.103046 | + | 0.118921i | ||||
\(87\) | 2.61935 | − | 1.68335i | 0.280823 | − | 0.180474i | ||||
\(88\) | 3.27898 | + | 3.78415i | 0.349541 | + | 0.403391i | ||||
\(89\) | 5.02538 | + | 1.47559i | 0.532689 | + | 0.156412i | 0.537005 | − | 0.843579i | \(-0.319556\pi\) |
−0.00431578 | + | 0.999991i | \(0.501374\pi\) | |||||||
\(90\) | 0.628663 | − | 1.37658i | 0.0662669 | − | 0.145104i | ||||
\(91\) | 12.5127 | 1.31169 | ||||||||
\(92\) | −2.21537 | − | 4.25348i | −0.230968 | − | 0.443456i | ||||
\(93\) | −1.17428 | −0.121767 | ||||||||
\(94\) | −5.26732 | + | 11.5338i | −0.543283 | + | 1.18962i | ||||
\(95\) | 10.1666 | + | 2.98517i | 1.04307 | + | 0.306272i | ||||
\(96\) | −0.654861 | − | 0.755750i | −0.0668364 | − | 0.0771334i | ||||
\(97\) | 12.5782 | − | 8.08355i | 1.27713 | − | 0.820760i | 0.286597 | − | 0.958051i | \(-0.407476\pi\) |
0.990531 | + | 0.137291i | \(0.0438397\pi\) | |||||||
\(98\) | 0.176382 | − | 0.203555i | 0.0178172 | − | 0.0205622i | ||||
\(99\) | 0.712591 | − | 4.95618i | 0.0716180 | − | 0.498114i | ||||
\(100\) | 2.60004 | − | 0.763442i | 0.260004 | − | 0.0763442i | ||||
\(101\) | −0.446103 | − | 0.286693i | −0.0443889 | − | 0.0285270i | 0.518258 | − | 0.855224i | \(-0.326581\pi\) |
−0.562647 | + | 0.826697i | \(0.690217\pi\) | |||||||
\(102\) | 0.122916 | + | 0.854902i | 0.0121705 | + | 0.0846479i | ||||
\(103\) | 0.382147 | + | 0.836786i | 0.0376541 | + | 0.0824510i | 0.927524 | − | 0.373763i | \(-0.121933\pi\) |
−0.889870 | + | 0.456214i | \(0.849205\pi\) | |||||||
\(104\) | −2.00357 | − | 4.38721i | −0.196466 | − | 0.430201i | ||||
\(105\) | 0.558746 | + | 3.88617i | 0.0545281 | + | 0.379251i | ||||
\(106\) | 3.56087 | + | 2.28843i | 0.345862 | + | 0.222272i | ||||
\(107\) | −12.9111 | + | 3.79104i | −1.24816 | + | 0.366493i | −0.838076 | − | 0.545554i | \(-0.816319\pi\) |
−0.410086 | + | 0.912047i | \(0.634501\pi\) | |||||||
\(108\) | −0.142315 | + | 0.989821i | −0.0136943 | + | 0.0952456i | ||||
\(109\) | 3.25857 | − | 3.76059i | 0.312114 | − | 0.360199i | −0.577920 | − | 0.816094i | \(-0.696135\pi\) |
0.890034 | + | 0.455895i | \(0.150681\pi\) | |||||||
\(110\) | −6.37459 | + | 4.09670i | −0.607794 | + | 0.390605i | ||||
\(111\) | 0.394306 | + | 0.455054i | 0.0374259 | + | 0.0431918i | ||||
\(112\) | 2.48926 | + | 0.730913i | 0.235213 | + | 0.0690648i | ||||
\(113\) | −5.65122 | + | 12.3744i | −0.531622 | + | 1.16409i | 0.433227 | + | 0.901285i | \(0.357375\pi\) |
−0.964849 | + | 0.262805i | \(0.915352\pi\) | |||||||
\(114\) | −7.00158 | −0.655758 | ||||||||
\(115\) | 6.84856 | − | 2.40240i | 0.638632 | − | 0.224025i | ||||
\(116\) | 3.11362 | 0.289093 | ||||||||
\(117\) | −2.00357 | + | 4.38721i | −0.185230 | + | 0.405598i | ||||
\(118\) | −3.82014 | − | 1.12170i | −0.351673 | − | 0.103260i | ||||
\(119\) | −1.46736 | − | 1.69343i | −0.134513 | − | 0.155236i | ||||
\(120\) | 1.27310 | − | 0.818172i | 0.116218 | − | 0.0746885i | ||||
\(121\) | −9.21485 | + | 10.6345i | −0.837714 | + | 0.966773i | ||||
\(122\) | 1.03353 | − | 7.18837i | 0.0935715 | − | 0.650804i | ||||
\(123\) | −5.07894 | + | 1.49131i | −0.457952 | + | 0.134467i | ||||
\(124\) | −0.987866 | − | 0.634863i | −0.0887130 | − | 0.0570124i | ||||
\(125\) | 1.66046 | + | 11.5488i | 0.148516 | + | 1.03295i | ||||
\(126\) | −1.07773 | − | 2.35990i | −0.0960120 | − | 0.210237i | ||||
\(127\) | 2.79580 | + | 6.12195i | 0.248087 | + | 0.543235i | 0.992176 | − | 0.124845i | \(-0.0398435\pi\) |
−0.744089 | + | 0.668080i | \(0.767116\pi\) | |||||||
\(128\) | −0.142315 | − | 0.989821i | −0.0125790 | − | 0.0874887i | ||||
\(129\) | 1.22760 | + | 0.788932i | 0.108084 | + | 0.0694615i | ||||
\(130\) | 7.00326 | − | 2.05634i | 0.614226 | − | 0.180353i | ||||
\(131\) | −2.70354 | + | 18.8035i | −0.236209 | + | 1.64287i | 0.434155 | + | 0.900838i | \(0.357047\pi\) |
−0.670364 | + | 0.742032i | \(0.733862\pi\) | |||||||
\(132\) | 3.27898 | − | 3.78415i | 0.285399 | − | 0.329368i | ||||
\(133\) | 15.2810 | − | 9.82050i | 1.32503 | − | 0.851546i | ||||
\(134\) | 10.5675 | + | 12.1956i | 0.912896 | + | 1.05354i | ||||
\(135\) | −1.45204 | − | 0.426356i | −0.124971 | − | 0.0366949i | ||||
\(136\) | −0.358791 | + | 0.785643i | −0.0307661 | + | 0.0673683i | ||||
\(137\) | −2.62684 | −0.224426 | −0.112213 | − | 0.993684i | \(-0.535794\pi\) | ||||
−0.112213 | + | 0.993684i | \(0.535794\pi\) | |||||||
\(138\) | −3.89491 | + | 2.79816i | −0.331557 | + | 0.238195i | ||||
\(139\) | −18.4268 | −1.56294 | −0.781471 | − | 0.623941i | \(-0.785530\pi\) | ||||
−0.781471 | + | 0.623941i | \(0.785530\pi\) | |||||||
\(140\) | −1.63097 | + | 3.57133i | −0.137842 | + | 0.301833i | ||||
\(141\) | 12.1660 | + | 3.57227i | 1.02457 | + | 0.300840i | ||||
\(142\) | −3.85361 | − | 4.44731i | −0.323388 | − | 0.373210i | ||||
\(143\) | 20.3161 | − | 13.0563i | 1.69891 | − | 1.09183i | ||||
\(144\) | −0.654861 | + | 0.755750i | −0.0545717 | + | 0.0629791i | ||||
\(145\) | −0.670582 | + | 4.66400i | −0.0556888 | + | 0.387324i | ||||
\(146\) | −13.7989 | + | 4.05171i | −1.14200 | + | 0.335322i | ||||
\(147\) | −0.226585 | − | 0.145617i | −0.0186884 | − | 0.0120103i | ||||
\(148\) | 0.0856910 | + | 0.595994i | 0.00704376 | + | 0.0489904i | ||||
\(149\) | −1.64339 | − | 3.59852i | −0.134632 | − | 0.294802i | 0.830294 | − | 0.557326i | \(-0.188173\pi\) |
−0.964926 | + | 0.262524i | \(0.915445\pi\) | |||||||
\(150\) | −1.12570 | − | 2.46493i | −0.0919127 | − | 0.201261i | ||||
\(151\) | 2.31220 | + | 16.0817i | 0.188164 | + | 1.30871i | 0.836756 | + | 0.547575i | \(0.184449\pi\) |
−0.648592 | + | 0.761136i | \(0.724642\pi\) | |||||||
\(152\) | −5.89011 | − | 3.78534i | −0.477751 | − | 0.307032i | ||||
\(153\) | 0.828708 | − | 0.243331i | 0.0669970 | − | 0.0196721i | ||||
\(154\) | −1.84871 | + | 12.8581i | −0.148973 | + | 1.03613i | ||||
\(155\) | 1.16374 | − | 1.34303i | 0.0934738 | − | 0.107875i | ||||
\(156\) | −4.05742 | + | 2.60754i | −0.324853 | + | 0.208770i | ||||
\(157\) | −13.3213 | − | 15.3736i | −1.06316 | − | 1.22695i | −0.972948 | − | 0.231026i | \(-0.925792\pi\) |
−0.0902098 | − | 0.995923i | \(-0.528754\pi\) | |||||||
\(158\) | −9.92134 | − | 2.91317i | −0.789299 | − | 0.231759i | ||||
\(159\) | 1.75837 | − | 3.85030i | 0.139448 | − | 0.305349i | ||||
\(160\) | 1.51334 | 0.119640 | ||||||||
\(161\) | 4.57594 | − | 11.5700i | 0.360635 | − | 0.911847i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −6.21157 | + | 13.6015i | −0.486528 | + | 1.06535i | 0.494089 | + | 0.869412i | \(0.335502\pi\) |
−0.980617 | + | 0.195936i | \(0.937225\pi\) | |||||||
\(164\) | −5.07894 | − | 1.49131i | −0.396598 | − | 0.116452i | ||||
\(165\) | 4.96220 | + | 5.72669i | 0.386307 | + | 0.445822i | ||||
\(166\) | 2.22176 | − | 1.42784i | 0.172442 | − | 0.110822i | ||||
\(167\) | 7.89124 | − | 9.10698i | 0.610642 | − | 0.704719i | −0.363260 | − | 0.931688i | \(-0.618336\pi\) |
0.973902 | + | 0.226969i | \(0.0728816\pi\) | |||||||
\(168\) | 0.369215 | − | 2.56794i | 0.0284855 | − | 0.198121i | ||||
\(169\) | −9.84622 | + | 2.89111i | −0.757401 | + | 0.222393i | ||||
\(170\) | −1.09957 | − | 0.706649i | −0.0843330 | − | 0.0541975i | ||||
\(171\) | 0.996429 | + | 6.93032i | 0.0761988 | + | 0.529975i | ||||
\(172\) | 0.606195 | + | 1.32738i | 0.0462220 | + | 0.101212i | ||||
\(173\) | 6.43950 | + | 14.1005i | 0.489586 | + | 1.07204i | 0.979715 | + | 0.200394i | \(0.0642221\pi\) |
−0.490130 | + | 0.871650i | \(0.663051\pi\) | |||||||
\(174\) | −0.443115 | − | 3.08193i | −0.0335924 | − | 0.233640i | ||||
\(175\) | 5.91418 | + | 3.80081i | 0.447070 | + | 0.287314i | ||||
\(176\) | 4.80432 | − | 1.41067i | 0.362139 | − | 0.106334i | ||||
\(177\) | −0.566615 | + | 3.94090i | −0.0425894 | + | 0.296216i | ||||
\(178\) | 3.42986 | − | 3.95827i | 0.257079 | − | 0.296685i | ||||
\(179\) | 6.06984 | − | 3.90085i | 0.453681 | − | 0.291563i | −0.293775 | − | 0.955875i | \(-0.594911\pi\) |
0.747456 | + | 0.664311i | \(0.231275\pi\) | |||||||
\(180\) | −0.991025 | − | 1.14370i | −0.0738666 | − | 0.0852467i | ||||
\(181\) | −3.20527 | − | 0.941152i | −0.238246 | − | 0.0699552i | 0.160430 | − | 0.987047i | \(-0.448712\pi\) |
−0.398676 | + | 0.917092i | \(0.630530\pi\) | |||||||
\(182\) | 5.19797 | − | 11.3820i | 0.385299 | − | 0.843687i | ||||
\(183\) | −7.26229 | −0.536844 | ||||||||
\(184\) | −4.78940 | + | 0.248210i | −0.353080 | + | 0.0182983i | ||||
\(185\) | −0.911214 | −0.0669938 | ||||||||
\(186\) | −0.487813 | + | 1.06816i | −0.0357682 | + | 0.0783214i | ||||
\(187\) | −4.14946 | − | 1.21839i | −0.303438 | − | 0.0890975i | ||||
\(188\) | 8.30342 | + | 9.58265i | 0.605589 | + | 0.698887i | ||||
\(189\) | −2.18251 | + | 1.40261i | −0.158754 | + | 0.102025i | ||||
\(190\) | 6.93874 | − | 8.00774i | 0.503389 | − | 0.580942i | ||||
\(191\) | 2.42111 | − | 16.8392i | 0.175185 | − | 1.21844i | −0.692534 | − | 0.721385i | \(-0.743506\pi\) |
0.867719 | − | 0.497055i | \(-0.165585\pi\) | |||||||
\(192\) | −0.959493 | + | 0.281733i | −0.0692454 | + | 0.0203323i | ||||
\(193\) | −19.1315 | − | 12.2951i | −1.37712 | − | 0.885020i | −0.377950 | − | 0.925826i | \(-0.623371\pi\) |
−0.999167 | + | 0.0408061i | \(0.987007\pi\) | |||||||
\(194\) | −2.12786 | − | 14.7996i | −0.152772 | − | 1.06255i | ||||
\(195\) | −3.03208 | − | 6.63933i | −0.217132 | − | 0.475452i | ||||
\(196\) | −0.111889 | − | 0.245002i | −0.00799205 | − | 0.0175002i | ||||
\(197\) | −1.43442 | − | 9.97664i | −0.102198 | − | 0.710806i | −0.974915 | − | 0.222578i | \(-0.928553\pi\) |
0.872716 | − | 0.488228i | \(-0.162356\pi\) | |||||||
\(198\) | −4.21228 | − | 2.70707i | −0.299353 | − | 0.192383i | ||||
\(199\) | 9.05033 | − | 2.65742i | 0.641561 | − | 0.188379i | 0.0552593 | − | 0.998472i | \(-0.482401\pi\) |
0.586302 | + | 0.810093i | \(0.300583\pi\) | |||||||
\(200\) | 0.385646 | − | 2.68223i | 0.0272693 | − | 0.189662i | ||||
\(201\) | 10.5675 | − | 12.1956i | 0.745377 | − | 0.860211i | ||||
\(202\) | −0.446103 | + | 0.286693i | −0.0313877 | + | 0.0201716i | ||||
\(203\) | 5.28985 | + | 6.10482i | 0.371275 | + | 0.428474i | ||||
\(204\) | 0.828708 | + | 0.243331i | 0.0580211 | + | 0.0170365i | ||||
\(205\) | 3.32774 | − | 7.28672i | 0.232419 | − | 0.508927i | ||||
\(206\) | 0.919917 | 0.0640937 | ||||||||
\(207\) | 3.32398 | + | 3.45705i | 0.231032 | + | 0.240281i | ||||
\(208\) | −4.82306 | −0.334419 | ||||||||
\(209\) | 14.5636 | − | 31.8898i | 1.00738 | − | 2.20586i | ||||
\(210\) | 3.76709 | + | 1.10612i | 0.259954 | + | 0.0763294i | ||||
\(211\) | 2.21294 | + | 2.55387i | 0.152345 | + | 0.175816i | 0.826792 | − | 0.562508i | \(-0.190163\pi\) |
−0.674447 | + | 0.738323i | \(0.735618\pi\) | |||||||
\(212\) | 3.56087 | − | 2.28843i | 0.244561 | − | 0.157170i | ||||
\(213\) | −3.85361 | + | 4.44731i | −0.264045 | + | 0.304724i | ||||
\(214\) | −1.91501 | + | 13.3192i | −0.130907 | + | 0.910481i | ||||
\(215\) | −2.11889 | + | 0.622162i | −0.144507 | + | 0.0424311i | ||||
\(216\) | 0.841254 | + | 0.540641i | 0.0572401 | + | 0.0367859i | ||||
\(217\) | −0.433561 | − | 3.01548i | −0.0294320 | − | 0.204704i | ||||
\(218\) | −2.06709 | − | 4.52630i | −0.140001 | − | 0.306560i | ||||
\(219\) | 5.97425 | + | 13.0818i | 0.403702 | + | 0.883985i | ||||
\(220\) | 1.07839 | + | 7.50037i | 0.0727050 | + | 0.505675i | ||||
\(221\) | 3.50436 | + | 2.25212i | 0.235729 | + | 0.151494i | ||||
\(222\) | 0.577732 | − | 0.169638i | 0.0387749 | − | 0.0113853i | ||||
\(223\) | 2.46625 | − | 17.1532i | 0.165152 | − | 1.14866i | −0.723582 | − | 0.690238i | \(-0.757506\pi\) |
0.888735 | − | 0.458422i | \(-0.151585\pi\) | |||||||
\(224\) | 1.69894 | − | 1.96068i | 0.113515 | − | 0.131003i | ||||
\(225\) | −2.27964 | + | 1.46503i | −0.151976 | + | 0.0976690i | ||||
\(226\) | 8.90859 | + | 10.2811i | 0.592591 | + | 0.683886i | ||||
\(227\) | −11.4377 | − | 3.35842i | −0.759148 | − | 0.222906i | −0.120824 | − | 0.992674i | \(-0.538554\pi\) |
−0.638324 | + | 0.769768i | \(0.720372\pi\) | |||||||
\(228\) | −2.90856 | + | 6.36886i | −0.192624 | + | 0.421788i | ||||
\(229\) | 16.9000 | 1.11678 | 0.558390 | − | 0.829578i | \(-0.311419\pi\) | ||||
0.558390 | + | 0.829578i | \(0.311419\pi\) | |||||||
\(230\) | 0.659693 | − | 7.22767i | 0.0434989 | − | 0.476578i | ||||
\(231\) | 12.9903 | 0.854698 | ||||||||
\(232\) | 1.29345 | − | 2.83225i | 0.0849188 | − | 0.185946i | ||||
\(233\) | −27.3383 | − | 8.02724i | −1.79099 | − | 0.525882i | −0.794324 | − | 0.607494i | \(-0.792175\pi\) |
−0.996664 | + | 0.0816122i | \(0.973993\pi\) | |||||||
\(234\) | 3.15843 | + | 3.64502i | 0.206473 | + | 0.238283i | ||||
\(235\) | −16.1425 | + | 10.3741i | −1.05302 | + | 0.676735i | ||||
\(236\) | −2.60728 | + | 3.00896i | −0.169719 | + | 0.195866i | ||||
\(237\) | −1.47156 | + | 10.2349i | −0.0955883 | + | 0.664831i | ||||
\(238\) | −2.14996 | + | 0.631285i | −0.139361 | + | 0.0409201i | ||||
\(239\) | −18.5912 | − | 11.9478i | −1.20256 | − | 0.772841i | −0.223165 | − | 0.974781i | \(-0.571639\pi\) |
−0.979398 | + | 0.201940i | \(0.935275\pi\) | |||||||
\(240\) | −0.215370 | − | 1.49793i | −0.0139021 | − | 0.0966912i | ||||
\(241\) | −0.663894 | − | 1.45372i | −0.0427651 | − | 0.0936426i | 0.887044 | − | 0.461686i | \(-0.152755\pi\) |
−0.929809 | + | 0.368043i | \(0.880028\pi\) | |||||||
\(242\) | 5.84550 | + | 12.7999i | 0.375763 | + | 0.822806i | ||||
\(243\) | −0.142315 | − | 0.989821i | −0.00912950 | − | 0.0634971i | ||||
\(244\) | −6.10943 | − | 3.92629i | −0.391116 | − | 0.251355i | ||||
\(245\) | 0.391095 | − | 0.114836i | 0.0249861 | − | 0.00733659i | ||||
\(246\) | −0.753323 | + | 5.23948i | −0.0480301 | + | 0.334057i | ||||
\(247\) | −22.1140 | + | 25.5209i | −1.40708 | + | 1.62386i | ||||
\(248\) | −0.987866 | + | 0.634863i | −0.0627296 | + | 0.0403139i | ||||
\(249\) | −1.72949 | − | 1.99594i | −0.109602 | − | 0.126488i | ||||
\(250\) | 11.1949 | + | 3.28713i | 0.708029 | + | 0.207896i | ||||
\(251\) | −7.30661 | + | 15.9992i | −0.461189 | + | 1.00986i | 0.526026 | + | 0.850469i | \(0.323682\pi\) |
−0.987215 | + | 0.159395i | \(0.949046\pi\) | |||||||
\(252\) | −2.59435 | −0.163429 | ||||||||
\(253\) | −4.64306 | − | 23.5603i | −0.291907 | − | 1.48122i | ||||
\(254\) | 6.73013 | 0.422286 | ||||||||
\(255\) | −0.542972 | + | 1.18894i | −0.0340022 | + | 0.0744545i | ||||
\(256\) | −0.959493 | − | 0.281733i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 13.5533 | + | 15.6413i | 0.845430 | + | 0.975678i | 0.999924 | − | 0.0123156i | \(-0.00392026\pi\) |
−0.154494 | + | 0.987994i | \(0.549375\pi\) | |||||||
\(258\) | 1.22760 | − | 0.788932i | 0.0764271 | − | 0.0491167i | ||||
\(259\) | −1.02297 | + | 1.18057i | −0.0635642 | + | 0.0733570i | ||||
\(260\) | 1.03874 | − | 7.22462i | 0.0644201 | − | 0.448052i | ||||
\(261\) | −2.98750 | + | 0.877209i | −0.184922 | + | 0.0542979i | ||||
\(262\) | 15.9812 | + | 10.2705i | 0.987321 | + | 0.634513i | ||||
\(263\) | 3.91717 | + | 27.2445i | 0.241543 | + | 1.67997i | 0.644387 | + | 0.764699i | \(0.277113\pi\) |
−0.402844 | + | 0.915269i | \(0.631978\pi\) | |||||||
\(264\) | −2.08004 | − | 4.55466i | −0.128018 | − | 0.280320i | ||||
\(265\) | 2.66101 | + | 5.82680i | 0.163465 | + | 0.357938i | ||||
\(266\) | −2.58509 | − | 17.9797i | −0.158502 | − | 1.10240i | ||||
\(267\) | −4.40610 | − | 2.83163i | −0.269649 | − | 0.173293i | ||||
\(268\) | 15.4834 | − | 4.54634i | 0.945800 | − | 0.277712i | ||||
\(269\) | 1.88933 | − | 13.1406i | 0.115194 | − | 0.801195i | −0.847537 | − | 0.530736i | \(-0.821915\pi\) |
0.962731 | − | 0.270459i | \(-0.0871755\pi\) | |||||||
\(270\) | −0.991025 | + | 1.14370i | −0.0603119 | + | 0.0696036i | ||||
\(271\) | 20.2562 | − | 13.0179i | 1.23048 | − | 0.790779i | 0.246511 | − | 0.969140i | \(-0.420716\pi\) |
0.983965 | + | 0.178361i | \(0.0570795\pi\) | |||||||
\(272\) | 0.565599 | + | 0.652736i | 0.0342945 | + | 0.0395779i | ||||
\(273\) | −12.0059 | − | 3.52524i | −0.726627 | − | 0.213357i | ||||
\(274\) | −1.09123 | + | 2.38946i | −0.0659235 | + | 0.144352i | ||||
\(275\) | 13.5684 | 0.818206 | ||||||||
\(276\) | 0.927287 | + | 4.70533i | 0.0558161 | + | 0.283228i | ||||
\(277\) | −18.3404 | −1.10197 | −0.550983 | − | 0.834516i | \(-0.685747\pi\) | ||||
−0.550983 | + | 0.834516i | \(0.685747\pi\) | |||||||
\(278\) | −7.65478 | + | 16.7616i | −0.459103 | + | 1.00530i | ||||
\(279\) | 1.12671 | + | 0.330833i | 0.0674545 | + | 0.0198064i | ||||
\(280\) | 2.57107 | + | 2.96717i | 0.153651 | + | 0.177322i | ||||
\(281\) | −0.0168026 | + | 0.0107984i | −0.00100236 | + | 0.000644178i | −0.541142 | − | 0.840931i | \(-0.682008\pi\) |
0.540140 | + | 0.841575i | \(0.318371\pi\) | |||||||
\(282\) | 8.30342 | − | 9.58265i | 0.494461 | − | 0.570639i | ||||
\(283\) | −2.49815 | + | 17.3750i | −0.148500 | + | 1.03284i | 0.770178 | + | 0.637829i | \(0.220167\pi\) |
−0.918678 | + | 0.395008i | \(0.870742\pi\) | |||||||
\(284\) | −5.64626 | + | 1.65789i | −0.335044 | + | 0.0983778i | ||||
\(285\) | −8.91372 | − | 5.72850i | −0.528003 | − | 0.339327i | ||||
\(286\) | −3.43687 | − | 23.9039i | −0.203226 | − | 1.41347i | ||||
\(287\) | −5.70482 | − | 12.4918i | −0.336745 | − | 0.737368i | ||||
\(288\) | 0.415415 | + | 0.909632i | 0.0244786 | + | 0.0536006i | ||||
\(289\) | 2.31319 | + | 16.0886i | 0.136070 | + | 0.946388i | ||||
\(290\) | 3.96395 | + | 2.54748i | 0.232771 | + | 0.149593i | ||||
\(291\) | −14.3461 | + | 4.21241i | −0.840985 | + | 0.246936i | ||||
\(292\) | −2.04669 | + | 14.2350i | −0.119773 | + | 0.833042i | ||||
\(293\) | 1.90332 | − | 2.19655i | 0.111193 | − | 0.128324i | −0.697424 | − | 0.716658i | \(-0.745671\pi\) |
0.808618 | + | 0.588335i | \(0.200216\pi\) | |||||||
\(294\) | −0.226585 | + | 0.145617i | −0.0132147 | + | 0.00849258i | ||||
\(295\) | −3.94569 | − | 4.55357i | −0.229727 | − | 0.265119i | ||||
\(296\) | 0.577732 | + | 0.169638i | 0.0335800 | + | 0.00985998i | ||||
\(297\) | −2.08004 | + | 4.55466i | −0.120696 | + | 0.264288i | ||||
\(298\) | −3.95602 | −0.229166 | ||||||||
\(299\) | −2.10247 | + | 23.0348i | −0.121589 | + | 1.33214i | ||||
\(300\) | −2.70981 | −0.156451 | ||||||||
\(301\) | −1.57268 | + | 3.44370i | −0.0906480 | + | 0.198491i | ||||
\(302\) | 15.5890 | + | 4.57733i | 0.897044 | + | 0.263396i | ||||
\(303\) | 0.347262 | + | 0.400761i | 0.0199497 | + | 0.0230231i | ||||
\(304\) | −5.89011 | + | 3.78534i | −0.337821 | + | 0.217104i | ||||
\(305\) | 7.19711 | − | 8.30591i | 0.412105 | − | 0.475595i | ||||
\(306\) | 0.122916 | − | 0.854902i | 0.00702666 | − | 0.0488715i | ||||
\(307\) | 12.1970 | − | 3.58138i | 0.696122 | − | 0.204400i | 0.0855190 | − | 0.996337i | \(-0.472745\pi\) |
0.610603 | + | 0.791937i | \(0.290927\pi\) | |||||||
\(308\) | 10.9281 | + | 7.02308i | 0.622688 | + | 0.400177i | ||||
\(309\) | −0.130918 | − | 0.910554i | −0.00744766 | − | 0.0517996i | ||||
\(310\) | −0.738226 | − | 1.61649i | −0.0419284 | − | 0.0918104i | ||||
\(311\) | −8.84860 | − | 19.3757i | −0.501758 | − | 1.09870i | −0.975894 | − | 0.218245i | \(-0.929967\pi\) |
0.474136 | − | 0.880452i | \(-0.342760\pi\) | |||||||
\(312\) | 0.686393 | + | 4.77397i | 0.0388593 | + | 0.270273i | ||||
\(313\) | 1.59110 | + | 1.02253i | 0.0899340 | + | 0.0577971i | 0.584835 | − | 0.811152i | \(-0.301159\pi\) |
−0.494901 | + | 0.868949i | \(0.664796\pi\) | |||||||
\(314\) | −19.5182 | + | 5.73107i | −1.10148 | + | 0.323423i | ||||
\(315\) | 0.558746 | − | 3.88617i | 0.0314818 | − | 0.218961i | ||||
\(316\) | −6.77138 | + | 7.81459i | −0.380920 | + | 0.439605i | ||||
\(317\) | −18.3490 | + | 11.7922i | −1.03058 | + | 0.662314i | −0.942640 | − | 0.333811i | \(-0.891665\pi\) |
−0.0879413 | + | 0.996126i | \(0.528029\pi\) | |||||||
\(318\) | −2.77190 | − | 3.19895i | −0.155441 | − | 0.179388i | ||||
\(319\) | 14.9588 | + | 4.39231i | 0.837534 | + | 0.245922i | ||||
\(320\) | 0.628663 | − | 1.37658i | 0.0351433 | − | 0.0769532i | ||||
\(321\) | 13.4562 | 0.751049 | ||||||||
\(322\) | −8.62356 | − | 8.96879i | −0.480572 | − | 0.499811i | ||||
\(323\) | 6.04722 | 0.336476 | ||||||||
\(324\) | 0.415415 | − | 0.909632i | 0.0230786 | − | 0.0505351i | ||||
\(325\) | −12.5402 | − | 3.68213i | −0.695603 | − | 0.204248i | ||||
\(326\) | 9.79193 | + | 11.3005i | 0.542325 | + | 0.625876i | ||||
\(327\) | −4.18605 | + | 2.69021i | −0.231489 | + | 0.148769i | ||||
\(328\) | −3.46641 | + | 4.00045i | −0.191400 | + | 0.220888i | ||||
\(329\) | −4.68152 | + | 32.5607i | −0.258100 | + | 1.79513i | ||||
\(330\) | 7.27055 | − | 2.13483i | 0.400231 | − | 0.117518i | ||||
\(331\) | 14.6532 | + | 9.41704i | 0.805413 | + | 0.517608i | 0.877378 | − | 0.479800i | \(-0.159291\pi\) |
−0.0719651 | + | 0.997407i | \(0.522927\pi\) | |||||||
\(332\) | −0.375855 | − | 2.61413i | −0.0206277 | − | 0.143469i | ||||
\(333\) | −0.250131 | − | 0.547710i | −0.0137071 | − | 0.0300143i | ||||
\(334\) | −5.00586 | − | 10.9613i | −0.273908 | − | 0.599776i | ||||
\(335\) | 3.47545 | + | 24.1723i | 0.189884 | + | 1.32067i | ||||
\(336\) | −2.18251 | − | 1.40261i | −0.119066 | − | 0.0765188i | ||||
\(337\) | 17.2210 | − | 5.05653i | 0.938086 | − | 0.275447i | 0.223268 | − | 0.974757i | \(-0.428328\pi\) |
0.714818 | + | 0.699310i | \(0.246509\pi\) | |||||||
\(338\) | −1.46042 | + | 10.1574i | −0.0794364 | + | 0.552492i | ||||
\(339\) | 8.90859 | − | 10.2811i | 0.483848 | − | 0.558391i | ||||
\(340\) | −1.09957 | + | 0.706649i | −0.0596325 | + | 0.0383234i | ||||
\(341\) | −3.85044 | − | 4.44364i | −0.208513 | − | 0.240637i | ||||
\(342\) | 6.71797 | + | 1.97257i | 0.363266 | + | 0.106665i | ||||
\(343\) | 7.83441 | − | 17.1550i | 0.423018 | − | 0.926281i | ||||
\(344\) | 1.45925 | 0.0786776 | ||||||||
\(345\) | −7.24798 | + | 0.375626i | −0.390218 | + | 0.0202230i | ||||
\(346\) | 15.5014 | 0.833358 | ||||||||
\(347\) | −2.00445 | + | 4.38914i | −0.107605 | + | 0.235621i | −0.955773 | − | 0.294105i | \(-0.904978\pi\) |
0.848168 | + | 0.529727i | \(0.177706\pi\) | |||||||
\(348\) | −2.98750 | − | 0.877209i | −0.160147 | − | 0.0470233i | ||||
\(349\) | −6.78166 | − | 7.82645i | −0.363014 | − | 0.418940i | 0.544633 | − | 0.838674i | \(-0.316669\pi\) |
−0.907647 | + | 0.419734i | \(0.862123\pi\) | |||||||
\(350\) | 5.91418 | − | 3.80081i | 0.316126 | − | 0.203162i | ||||
\(351\) | 3.15843 | − | 3.64502i | 0.168585 | − | 0.194557i | ||||
\(352\) | 0.712591 | − | 4.95618i | 0.0379812 | − | 0.264165i | ||||
\(353\) | 28.1818 | − | 8.27493i | 1.49997 | − | 0.440430i | 0.574261 | − | 0.818673i | \(-0.305290\pi\) |
0.925707 | + | 0.378242i | \(0.123471\pi\) | |||||||
\(354\) | 3.34938 | + | 2.15252i | 0.178018 | + | 0.114405i | ||||
\(355\) | −1.26737 | − | 8.81478i | −0.0672652 | − | 0.467840i | ||||
\(356\) | −2.17575 | − | 4.76423i | −0.115315 | − | 0.252504i | ||||
\(357\) | 0.930830 | + | 2.03823i | 0.0492648 | + | 0.107875i | ||||
\(358\) | −1.02684 | − | 7.14180i | −0.0542699 | − | 0.377456i | ||||
\(359\) | −8.41063 | − | 5.40518i | −0.443896 | − | 0.285275i | 0.299537 | − | 0.954085i | \(-0.403168\pi\) |
−0.743434 | + | 0.668810i | \(0.766804\pi\) | |||||||
\(360\) | −1.45204 | + | 0.426356i | −0.0765290 | + | 0.0224710i | ||||
\(361\) | −4.27260 | + | 29.7166i | −0.224874 | + | 1.56403i | ||||
\(362\) | −2.18762 | + | 2.52465i | −0.114979 | + | 0.132692i | ||||
\(363\) | 11.8377 | − | 7.60761i | 0.621317 | − | 0.399296i | ||||
\(364\) | −8.19408 | − | 9.45647i | −0.429487 | − | 0.495654i | ||||
\(365\) | −20.8823 | − | 6.13160i | −1.09303 | − | 0.320943i | ||||
\(366\) | −3.01686 | + | 6.60601i | −0.157694 | + | 0.345302i | ||||
\(367\) | 16.7049 | 0.871991 | 0.435995 | − | 0.899949i | \(-0.356396\pi\) | ||||
0.435995 | + | 0.899949i | \(0.356396\pi\) | |||||||
\(368\) | −1.76381 | + | 4.45971i | −0.0919450 | + | 0.232478i | ||||
\(369\) | 5.29335 | 0.275561 | ||||||||
\(370\) | −0.378532 | + | 0.828870i | −0.0196790 | + | 0.0430909i | ||||
\(371\) | 10.5366 | + | 3.09382i | 0.547032 | + | 0.160623i | ||||
\(372\) | 0.768989 | + | 0.887461i | 0.0398702 | + | 0.0460127i | ||||
\(373\) | 27.9494 | − | 17.9620i | 1.44717 | − | 0.930037i | 0.447811 | − | 0.894128i | \(-0.352204\pi\) |
0.999355 | − | 0.0359089i | \(-0.0114326\pi\) | |||||||
\(374\) | −2.83203 | + | 3.26834i | −0.146441 | + | 0.169002i | ||||
\(375\) | 1.66046 | − | 11.5488i | 0.0857460 | − | 0.596377i | ||||
\(376\) | 12.1660 | − | 3.57227i | 0.627416 | − | 0.184226i | ||||
\(377\) | −12.6333 | − | 8.11890i | −0.650646 | − | 0.418145i | ||||
\(378\) | 0.369215 | + | 2.56794i | 0.0189904 | + | 0.132081i | ||||
\(379\) | 3.51150 | + | 7.68911i | 0.180374 | + | 0.394963i | 0.978123 | − | 0.208026i | \(-0.0667037\pi\) |
−0.797750 | + | 0.602989i | \(0.793976\pi\) | |||||||
\(380\) | −4.40164 | − | 9.63824i | −0.225799 | − | 0.494431i | ||||
\(381\) | −0.957798 | − | 6.66163i | −0.0490695 | − | 0.341286i | ||||
\(382\) | −14.3117 | − | 9.19757i | −0.732250 | − | 0.470588i | ||||
\(383\) | 4.22491 | − | 1.24055i | 0.215883 | − | 0.0633889i | −0.172003 | − | 0.985096i | \(-0.555024\pi\) |
0.387886 | + | 0.921708i | \(0.373206\pi\) | |||||||
\(384\) | −0.142315 | + | 0.989821i | −0.00726247 | + | 0.0505116i | ||||
\(385\) | −12.8737 | + | 14.8570i | −0.656104 | + | 0.757185i | ||||
\(386\) | −19.1315 | + | 12.2951i | −0.973769 | + | 0.625803i | ||||
\(387\) | −0.955607 | − | 1.10283i | −0.0485762 | − | 0.0560600i | ||||
\(388\) | −14.3461 | − | 4.21241i | −0.728315 | − | 0.213852i | ||||
\(389\) | 8.42800 | − | 18.4548i | 0.427317 | − | 0.935693i | −0.566438 | − | 0.824105i | \(-0.691679\pi\) |
0.993754 | − | 0.111589i | \(-0.0355939\pi\) | |||||||
\(390\) | −7.29891 | −0.369595 | ||||||||
\(391\) | 3.36401 | − | 2.41675i | 0.170125 | − | 0.122220i | ||||
\(392\) | −0.269342 | −0.0136038 | ||||||||
\(393\) | 7.89159 | − | 17.2802i | 0.398078 | − | 0.871669i | ||||
\(394\) | −9.67095 | − | 2.83965i | −0.487216 | − | 0.143059i | ||||
\(395\) | −10.2474 | − | 11.8261i | −0.515602 | − | 0.595036i | ||||
\(396\) | −4.21228 | + | 2.70707i | −0.211675 | + | 0.136035i | ||||
\(397\) | 9.40180 | − | 10.8503i | 0.471863 | − | 0.544559i | −0.469066 | − | 0.883163i | \(-0.655409\pi\) |
0.940929 | + | 0.338604i | \(0.109955\pi\) | |||||||
\(398\) | 1.34237 | − | 9.33640i | 0.0672870 | − | 0.467992i | ||||
\(399\) | −17.4288 | + | 5.11755i | −0.872530 | + | 0.256198i | ||||
\(400\) | −2.27964 | − | 1.46503i | −0.113982 | − | 0.0732517i | ||||
\(401\) | 1.64117 | + | 11.4146i | 0.0819562 | + | 0.570018i | 0.988879 | + | 0.148721i | \(0.0475157\pi\) |
−0.906923 | + | 0.421296i | \(0.861575\pi\) | |||||||
\(402\) | −6.70359 | − | 14.6788i | −0.334344 | − | 0.732112i | ||||
\(403\) | 2.35275 | + | 5.15181i | 0.117199 | + | 0.256630i | ||||
\(404\) | 0.0754672 | + | 0.524886i | 0.00375463 | + | 0.0261140i | ||||
\(405\) | 1.27310 | + | 0.818172i | 0.0632609 | + | 0.0406553i | ||||
\(406\) | 7.75062 | − | 2.27579i | 0.384657 | − | 0.112945i | ||||
\(407\) | −0.429067 | + | 2.98423i | −0.0212681 | + | 0.147923i | ||||
\(408\) | 0.565599 | − | 0.652736i | 0.0280013 | − | 0.0323152i | ||||
\(409\) | −19.9128 | + | 12.7972i | −0.984624 | + | 0.632779i | −0.930707 | − | 0.365766i | \(-0.880807\pi\) |
−0.0539169 | + | 0.998545i | \(0.517171\pi\) | |||||||
\(410\) | −5.24585 | − | 6.05403i | −0.259074 | − | 0.298987i | ||||
\(411\) | 2.52043 | + | 0.740066i | 0.124324 | + | 0.0365048i | ||||
\(412\) | 0.382147 | − | 0.836786i | 0.0188270 | − | 0.0412255i | ||||
\(413\) | −10.3292 | −0.508267 | ||||||||
\(414\) | 4.52547 | − | 1.58749i | 0.222415 | − | 0.0780207i | ||||
\(415\) | 3.99674 | 0.196192 | ||||||||
\(416\) | −2.00357 | + | 4.38721i | −0.0982331 | + | 0.215101i | ||||
\(417\) | 17.6804 | + | 5.19143i | 0.865813 | + | 0.254226i | ||||
\(418\) | −22.9581 | − | 26.4950i | −1.12292 | − | 1.29591i | ||||
\(419\) | −1.87628 | + | 1.20581i | −0.0916621 | + | 0.0589076i | −0.585669 | − | 0.810550i | \(-0.699168\pi\) |
0.494007 | + | 0.869458i | \(0.335532\pi\) | |||||||
\(420\) | 2.57107 | − | 2.96717i | 0.125455 | − | 0.144783i | ||||
\(421\) | 2.56625 | − | 17.8486i | 0.125071 | − | 0.869889i | −0.826604 | − | 0.562784i | \(-0.809730\pi\) |
0.951675 | − | 0.307106i | \(-0.0993605\pi\) | |||||||
\(422\) | 3.24237 | − | 0.952047i | 0.157836 | − | 0.0463449i | ||||
\(423\) | −10.6668 | − | 6.85514i | −0.518638 | − | 0.333309i | ||||
\(424\) | −0.602392 | − | 4.18973i | −0.0292547 | − | 0.203471i | ||||
\(425\) | 0.972256 | + | 2.12894i | 0.0471614 | + | 0.103269i | ||||
\(426\) | 2.44456 | + | 5.35285i | 0.118439 | + | 0.259346i | ||||
\(427\) | −2.68134 | − | 18.6492i | −0.129759 | − | 0.902496i | ||||
\(428\) | 11.3200 | + | 7.27495i | 0.547175 | + | 0.351648i | ||||
\(429\) | −23.1715 | + | 6.80377i | −1.11873 | + | 0.328489i | ||||
\(430\) | −0.314280 | + | 2.18586i | −0.0151559 | + | 0.105412i | ||||
\(431\) | −14.6477 | + | 16.9043i | −0.705553 | + | 0.814252i | −0.989492 | − | 0.144591i | \(-0.953813\pi\) |
0.283938 | + | 0.958842i | \(0.408359\pi\) | |||||||
\(432\) | 0.841254 | − | 0.540641i | 0.0404748 | − | 0.0260116i | ||||
\(433\) | −11.4632 | − | 13.2292i | −0.550887 | − | 0.635757i | 0.410203 | − | 0.911994i | \(-0.365458\pi\) |
−0.961089 | + | 0.276237i | \(0.910912\pi\) | |||||||
\(434\) | −2.92309 | − | 0.858296i | −0.140313 | − | 0.0411995i | ||||
\(435\) | 1.95742 | − | 4.28615i | 0.0938510 | − | 0.205505i | ||||
\(436\) | −4.97597 | −0.238306 | ||||||||
\(437\) | 15.5111 | + | 29.7811i | 0.741996 | + | 1.42462i | ||||
\(438\) | 14.3814 | 0.687170 | ||||||||
\(439\) | −6.27863 | + | 13.7483i | −0.299662 | + | 0.656169i | −0.998236 | − | 0.0593689i | \(-0.981091\pi\) |
0.698574 | + | 0.715538i | \(0.253818\pi\) | |||||||
\(440\) | 7.27055 | + | 2.13483i | 0.346610 | + | 0.101774i | ||||
\(441\) | 0.176382 | + | 0.203555i | 0.00839912 | + | 0.00969311i | ||||
\(442\) | 3.50436 | − | 2.25212i | 0.166686 | − | 0.107122i | ||||
\(443\) | 7.74333 | − | 8.93627i | 0.367897 | − | 0.424575i | −0.541373 | − | 0.840782i | \(-0.682095\pi\) |
0.909270 | + | 0.416207i | \(0.136641\pi\) | |||||||
\(444\) | 0.0856910 | − | 0.595994i | 0.00406671 | − | 0.0282846i | ||||
\(445\) | 7.60510 | − | 2.23306i | 0.360516 | − | 0.105857i | ||||
\(446\) | −14.5785 | − | 9.36906i | −0.690314 | − | 0.443638i | ||||
\(447\) | 0.563000 | + | 3.91575i | 0.0266290 | + | 0.185209i | ||||
\(448\) | −1.07773 | − | 2.35990i | −0.0509181 | − | 0.111495i | ||||
\(449\) | −1.94712 | − | 4.26359i | −0.0918900 | − | 0.201211i | 0.858106 | − | 0.513472i | \(-0.171641\pi\) |
−0.949996 | + | 0.312261i | \(0.898914\pi\) | |||||||
\(450\) | 0.385646 | + | 2.68223i | 0.0181795 | + | 0.126441i | ||||
\(451\) | −22.2971 | − | 14.3295i | −1.04993 | − | 0.674748i | ||||
\(452\) | 13.0527 | − | 3.83263i | 0.613949 | − | 0.180272i | ||||
\(453\) | 2.31220 | − | 16.0817i | 0.108637 | − | 0.755585i | ||||
\(454\) | −7.80632 | + | 9.00898i | −0.366369 | + | 0.422812i | ||||
\(455\) | 15.9299 | − | 10.2375i | 0.746807 | − | 0.479943i | ||||
\(456\) | 4.58506 | + | 5.29144i | 0.214715 | + | 0.247795i | ||||
\(457\) | 27.6933 | + | 8.13149i | 1.29544 | + | 0.380375i | 0.855570 | − | 0.517687i | \(-0.173207\pi\) |
0.439869 | + | 0.898062i | \(0.355025\pi\) | |||||||
\(458\) | 7.02050 | − | 15.3727i | 0.328046 | − | 0.718321i | ||||
\(459\) | −0.863693 | −0.0403138 | ||||||||
\(460\) | −6.30047 | − | 3.60256i | −0.293761 | − | 0.167970i | ||||
\(461\) | −1.23414 | −0.0574794 | −0.0287397 | − | 0.999587i | \(-0.509149\pi\) | ||||
−0.0287397 | + | 0.999587i | \(0.509149\pi\) | |||||||
\(462\) | 5.39636 | − | 11.8164i | 0.251061 | − | 0.549748i | ||||
\(463\) | −0.523678 | − | 0.153766i | −0.0243374 | − | 0.00714610i | 0.269541 | − | 0.962989i | \(-0.413128\pi\) |
−0.293879 | + | 0.955843i | \(0.594946\pi\) | |||||||
\(464\) | −2.03899 | − | 2.35312i | −0.0946577 | − | 0.109241i | ||||
\(465\) | −1.49497 | + | 0.960762i | −0.0693278 | + | 0.0445543i | ||||
\(466\) | −18.6586 | + | 21.5331i | −0.864341 | + | 0.997502i | ||||
\(467\) | −2.26688 | + | 15.7665i | −0.104899 | + | 0.729586i | 0.867699 | + | 0.497090i | \(0.165598\pi\) |
−0.972597 | + | 0.232496i | \(0.925311\pi\) | |||||||
\(468\) | 4.62769 | − | 1.35881i | 0.213915 | − | 0.0628111i | ||||
\(469\) | 35.2193 | + | 22.6341i | 1.62628 | + | 1.04514i | ||||
\(470\) | 2.73082 | + | 18.9933i | 0.125964 | + | 0.876095i | ||||
\(471\) | 8.45046 | + | 18.5039i | 0.389377 | + | 0.852616i | ||||
\(472\) | 1.65394 | + | 3.62163i | 0.0761288 | + | 0.166699i | ||||
\(473\) | 1.03985 | + | 7.23231i | 0.0478123 | + | 0.332542i | ||||
\(474\) | 8.69872 | + | 5.59033i | 0.399546 | + | 0.256772i | ||||
\(475\) | −18.2044 | + | 5.34530i | −0.835276 | + | 0.245259i | ||||
\(476\) | −0.318888 | + | 2.21792i | −0.0146162 | + | 0.101658i | ||||
\(477\) | −2.77190 | + | 3.19895i | −0.126917 | + | 0.146470i | ||||
\(478\) | −18.5912 | + | 11.9478i | −0.850341 | + | 0.546481i | ||||
\(479\) | 0.167294 | + | 0.193068i | 0.00764388 | + | 0.00882150i | 0.759559 | − | 0.650439i | \(-0.225415\pi\) |
−0.751915 | + | 0.659260i | \(0.770870\pi\) | |||||||
\(480\) | −1.45204 | − | 0.426356i | −0.0662761 | − | 0.0194604i | ||||
\(481\) | 1.20640 | − | 2.64164i | 0.0550069 | − | 0.120448i | ||||
\(482\) | −1.59815 | −0.0727935 | ||||||||
\(483\) | −7.65024 | + | 9.81218i | −0.348098 | + | 0.446470i | ||||
\(484\) | 14.0715 | 0.639612 | ||||||||
\(485\) | 9.39964 | − | 20.5823i | 0.426815 | − | 0.934596i | ||||
\(486\) | −0.959493 | − | 0.281733i | −0.0435235 | − | 0.0127796i | ||||
\(487\) | −16.7486 | − | 19.3289i | −0.758952 | − | 0.875877i | 0.236452 | − | 0.971643i | \(-0.424015\pi\) |
−0.995404 | + | 0.0957661i | \(0.969470\pi\) | |||||||
\(488\) | −6.10943 | + | 3.92629i | −0.276561 | + | 0.177735i | ||||
\(489\) | 9.79193 | − | 11.3005i | 0.442807 | − | 0.511026i | ||||
\(490\) | 0.0580083 | − | 0.403457i | 0.00262055 | − | 0.0182263i | ||||
\(491\) | 7.22173 | − | 2.12049i | 0.325912 | − | 0.0956964i | −0.114684 | − | 0.993402i | \(-0.536585\pi\) |
0.440596 | + | 0.897706i | \(0.354767\pi\) | |||||||
\(492\) | 4.45305 | + | 2.86180i | 0.200759 | + | 0.129020i | ||||
\(493\) | 0.382715 | + | 2.66184i | 0.0172366 | + | 0.119883i | ||||
\(494\) | 14.0282 | + | 30.7174i | 0.631157 | + | 1.38204i | ||||
\(495\) | −3.14780 | − | 6.89273i | −0.141483 | − | 0.309805i | ||||
\(496\) | 0.167117 | + | 1.16233i | 0.00750379 | + | 0.0521900i | ||||
\(497\) | −12.8432 | − | 8.25385i | −0.576098 | − | 0.370236i | ||||
\(498\) | −2.53403 | + | 0.744058i | −0.113553 | + | 0.0333420i | ||||
\(499\) | 5.71269 | − | 39.7326i | 0.255735 | − | 1.77868i | −0.306671 | − | 0.951815i | \(-0.599215\pi\) |
0.562406 | − | 0.826861i | \(-0.309876\pi\) | |||||||
\(500\) | 7.64062 | − | 8.81774i | 0.341699 | − | 0.394341i | ||||
\(501\) | −10.1373 | + | 6.51486i | −0.452902 | + | 0.291062i | ||||
\(502\) | 11.5181 | + | 13.2927i | 0.514080 | + | 0.593280i | ||||
\(503\) | 23.1700 | + | 6.80333i | 1.03310 | + | 0.303346i | 0.753971 | − | 0.656908i | \(-0.228136\pi\) |
0.279129 | + | 0.960254i | \(0.409954\pi\) | |||||||
\(504\) | −1.07773 | + | 2.35990i | −0.0480060 | + | 0.105119i | ||||
\(505\) | −0.802497 | −0.0357107 | ||||||||
\(506\) | −23.3600 | − | 5.56381i | −1.03848 | − | 0.247342i | ||||
\(507\) | 10.2619 | 0.455747 | ||||||||
\(508\) | 2.79580 | − | 6.12195i | 0.124044 | − | 0.271617i | ||||
\(509\) | −0.614059 | − | 0.180304i | −0.0272177 | − | 0.00799183i | 0.268095 | − | 0.963392i | \(-0.413606\pi\) |
−0.295313 | + | 0.955401i | \(0.595424\pi\) | |||||||
\(510\) | 0.855942 | + | 0.987809i | 0.0379017 | + | 0.0437409i | ||||
\(511\) | −31.3875 | + | 20.1715i | −1.38850 | + | 0.892336i | ||||
\(512\) | −0.654861 | + | 0.755750i | −0.0289410 | + | 0.0333997i | ||||
\(513\) | 0.996429 | − | 6.93032i | 0.0439934 | − | 0.305981i | ||||
\(514\) | 19.8581 | − | 5.83086i | 0.875902 | − | 0.257188i | ||||
\(515\) | 1.17115 | + | 0.752650i | 0.0516069 | + | 0.0331657i | ||||
\(516\) | −0.207673 | − | 1.44440i | −0.00914231 | − | 0.0635861i | ||||
\(517\) | 26.3742 | + | 57.7515i | 1.15994 | + | 2.53991i | ||||
\(518\) | 0.648927 | + | 1.42095i | 0.0285122 | + | 0.0624330i | ||||
\(519\) | −2.20607 | − | 15.3436i | −0.0968358 | − | 0.673508i | ||||
\(520\) | −6.14024 | − | 3.94609i | −0.269267 | − | 0.173048i | ||||
\(521\) | −21.8174 | + | 6.40617i | −0.955838 | + | 0.280659i | −0.722216 | − | 0.691668i | \(-0.756876\pi\) |
−0.233622 | + | 0.972327i | \(0.575058\pi\) | |||||||
\(522\) | −0.443115 | + | 3.08193i | −0.0193946 | + | 0.134892i | ||||
\(523\) | −0.550626 | + | 0.635456i | −0.0240772 | + | 0.0277866i | −0.767660 | − | 0.640857i | \(-0.778579\pi\) |
0.743583 | + | 0.668643i | \(0.233125\pi\) | |||||||
\(524\) | 15.9812 | − | 10.2705i | 0.698141 | − | 0.448668i | ||||
\(525\) | −4.60380 | − | 5.31307i | −0.200926 | − | 0.231881i | ||||
\(526\) | 26.4097 | + | 7.75459i | 1.15152 | + | 0.338116i | ||||
\(527\) | 0.421321 | − | 0.922564i | 0.0183530 | − | 0.0401875i | ||||
\(528\) | −5.00714 | −0.217908 | ||||||||
\(529\) | 20.5306 | + | 10.3680i | 0.892634 | + | 0.450782i | ||||
\(530\) | 6.40567 | 0.278245 | ||||||||
\(531\) | 1.65394 | − | 3.62163i | 0.0717750 | − | 0.157165i | ||||
\(532\) | −17.4288 | − | 5.11755i | −0.755633 | − | 0.221874i | ||||
\(533\) | 16.7187 | + | 19.2944i | 0.724167 | + | 0.835733i | ||||
\(534\) | −4.40610 | + | 2.83163i | −0.190670 | + | 0.122536i | ||||
\(535\) | −13.3354 | + | 15.3899i | −0.576539 | + | 0.665362i | ||||
\(536\) | 2.29655 | − | 15.9728i | 0.0991957 | − | 0.689921i | ||||
\(537\) | −6.92297 | + | 2.03277i | −0.298748 | + | 0.0877204i | ||||
\(538\) | −11.1682 | − | 7.17739i | −0.481497 | − | 0.309439i | ||||
\(539\) | −0.191931 | − | 1.33491i | −0.00826704 | − | 0.0574985i | ||||
\(540\) | 0.628663 | + | 1.37658i | 0.0270533 | + | 0.0592386i | ||||
\(541\) | 9.49585 | + | 20.7930i | 0.408259 | + | 0.893962i | 0.996366 | + | 0.0851787i | \(0.0271461\pi\) |
−0.588107 | + | 0.808783i | \(0.700127\pi\) | |||||||
\(542\) | −3.42674 | − | 23.8335i | −0.147191 | − | 1.02374i | ||||
\(543\) | 2.81028 | + | 1.80606i | 0.120601 | + | 0.0775053i | ||||
\(544\) | 0.828708 | − | 0.243331i | 0.0355305 | − | 0.0104327i | ||||
\(545\) | 1.07168 | − | 7.45367i | 0.0459055 | − | 0.319280i | ||||
\(546\) | −8.19408 | + | 9.45647i | −0.350674 | + | 0.404700i | ||||
\(547\) | 8.80067 | − | 5.65585i | 0.376289 | − | 0.241827i | −0.338802 | − | 0.940858i | \(-0.610022\pi\) |
0.715091 | + | 0.699031i | \(0.246385\pi\) | |||||||
\(548\) | 1.72021 | + | 1.98523i | 0.0734839 | + | 0.0848050i | ||||
\(549\) | 6.96812 | + | 2.04602i | 0.297392 | + | 0.0873221i | ||||
\(550\) | 5.63652 | − | 12.3423i | 0.240342 | − | 0.526276i | ||||
\(551\) | −21.8003 | −0.928723 | ||||||||
\(552\) | 4.66533 | + | 1.11118i | 0.198570 | + | 0.0472948i | ||||
\(553\) | −26.8261 | −1.14076 | ||||||||
\(554\) | −7.61887 | + | 16.6830i | −0.323695 | + | 0.708793i | ||||
\(555\) | 0.874304 | + | 0.256719i | 0.0371121 | + | 0.0108971i | ||||
\(556\) | 12.0670 | + | 13.9261i | 0.511755 | + | 0.590597i | ||||
\(557\) | −22.1144 | + | 14.2120i | −0.937015 | + | 0.602183i | −0.917547 | − | 0.397627i | \(-0.869834\pi\) |
−0.0194682 | + | 0.999810i | \(0.506197\pi\) | |||||||
\(558\) | 0.768989 | − | 0.887461i | 0.0325539 | − | 0.0375692i | ||||
\(559\) | 1.00162 | − | 6.96642i | 0.0423640 | − | 0.294648i | ||||
\(560\) | 3.76709 | − | 1.10612i | 0.159189 | − | 0.0467420i | ||||
\(561\) | 3.63811 | + | 2.33807i | 0.153601 | + | 0.0987136i | ||||
\(562\) | 0.00284250 | + | 0.0197700i | 0.000119904 | + | 0.000833948i | ||||
\(563\) | −11.5774 | − | 25.3509i | −0.487928 | − | 1.06841i | −0.980207 | − | 0.197976i | \(-0.936563\pi\) |
0.492279 | − | 0.870437i | \(-0.336164\pi\) | |||||||
\(564\) | −5.26732 | − | 11.5338i | −0.221794 | − | 0.485662i | ||||
\(565\) | 2.92985 | + | 20.3776i | 0.123260 | + | 0.857291i | ||||
\(566\) | 14.7671 | + | 9.49024i | 0.620708 | + | 0.398905i | ||||
\(567\) | 2.48926 | − | 0.730913i | 0.104539 | − | 0.0306955i | ||||
\(568\) | −0.837470 | + | 5.82473i | −0.0351395 | + | 0.244400i | ||||
\(569\) | 21.0907 | − | 24.3399i | 0.884166 | − | 1.02038i | −0.115467 | − | 0.993311i | \(-0.536837\pi\) |
0.999634 | − | 0.0270710i | \(-0.00861801\pi\) | |||||||
\(570\) | −8.91372 | + | 5.72850i | −0.373354 | + | 0.239940i | ||||
\(571\) | −10.8030 | − | 12.4673i | −0.452091 | − | 0.521740i | 0.483253 | − | 0.875481i | \(-0.339455\pi\) |
−0.935344 | + | 0.353740i | \(0.884910\pi\) | |||||||
\(572\) | −23.1715 | − | 6.80377i | −0.968849 | − | 0.284480i | ||||
\(573\) | −7.06718 | + | 15.4750i | −0.295236 | + | 0.646476i | ||||
\(574\) | −13.7328 | −0.573197 | ||||||||
\(575\) | −7.99071 | + | 10.2489i | −0.333236 | + | 0.427407i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −2.73102 | + | 5.98010i | −0.113694 | + | 0.248955i | −0.957922 | − | 0.287030i | \(-0.907332\pi\) |
0.844228 | + | 0.535984i | \(0.180059\pi\) | |||||||
\(578\) | 15.5956 | + | 4.57929i | 0.648693 | + | 0.190473i | ||||
\(579\) | 14.8926 | + | 17.1870i | 0.618917 | + | 0.714268i | ||||
\(580\) | 3.96395 | − | 2.54748i | 0.164594 | − | 0.105778i | ||||
\(581\) | 4.48691 | − | 5.17817i | 0.186148 | − | 0.214827i | ||||
\(582\) | −2.12786 | + | 14.7996i | −0.0882027 | + | 0.613463i | ||||
\(583\) | 20.3358 | − | 5.97112i | 0.842222 | − | 0.247299i | ||||
\(584\) | 12.0984 | + | 7.77517i | 0.500636 | + | 0.321739i | ||||
\(585\) | 1.03874 | + | 7.22462i | 0.0429468 | + | 0.298701i | ||||
\(586\) | −1.20738 | − | 2.64380i | −0.0498765 | − | 0.109214i | ||||
\(587\) | −6.40693 | − | 14.0292i | −0.264442 | − | 0.579048i | 0.730105 | − | 0.683335i | \(-0.239471\pi\) |
−0.994547 | + | 0.104287i | \(0.966744\pi\) | |||||||
\(588\) | 0.0383314 | + | 0.266601i | 0.00158076 | + | 0.0109944i | ||||
\(589\) | 6.91663 | + | 4.44505i | 0.284995 | + | 0.183155i | ||||
\(590\) | −5.78117 | + | 1.69750i | −0.238007 | + | 0.0698851i | ||||
\(591\) | −1.43442 | + | 9.97664i | −0.0590043 | + | 0.410384i | ||||
\(592\) | 0.394306 | − | 0.455054i | 0.0162059 | − | 0.0187026i | ||||
\(593\) | −12.0884 | + | 7.76876i | −0.496412 | + | 0.319025i | −0.764780 | − | 0.644292i | \(-0.777152\pi\) |
0.268368 | + | 0.963317i | \(0.413516\pi\) | |||||||
\(594\) | 3.27898 | + | 3.78415i | 0.134538 | + | 0.155265i | ||||
\(595\) | −3.25361 | − | 0.955347i | −0.133385 | − | 0.0391654i | ||||
\(596\) | −1.64339 | + | 3.59852i | −0.0673158 | + | 0.147401i | ||||
\(597\) | −9.43241 | −0.386043 | ||||||||
\(598\) | 20.0798 | + | 11.4815i | 0.821125 | + | 0.469513i | ||||
\(599\) | 7.73316 | 0.315968 | 0.157984 | − | 0.987442i | \(-0.449500\pi\) | ||||
0.157984 | + | 0.987442i | \(0.449500\pi\) | |||||||
\(600\) | −1.12570 | + | 2.46493i | −0.0459564 | + | 0.100630i | ||||
\(601\) | −30.7273 | − | 9.02234i | −1.25339 | − | 0.368029i | −0.413361 | − | 0.910567i | \(-0.635645\pi\) |
−0.840031 | + | 0.542538i | \(0.817463\pi\) | |||||||
\(602\) | 2.47918 | + | 2.86113i | 0.101044 | + | 0.116611i | ||||
\(603\) | −13.5754 | + | 8.72436i | −0.552832 | + | 0.355284i | ||||
\(604\) | 10.6396 | − | 12.2787i | 0.432918 | − | 0.499614i | ||||
\(605\) | −3.03058 | + | 21.0781i | −0.123210 | + | 0.856948i | ||||
\(606\) | 0.508803 | − | 0.149398i | 0.0206687 | − | 0.00606888i | ||||
\(607\) | −0.772604 | − | 0.496522i | −0.0313590 | − | 0.0201532i | 0.524867 | − | 0.851184i | \(-0.324115\pi\) |
−0.556226 | + | 0.831031i | \(0.687751\pi\) | |||||||
\(608\) | 0.996429 | + | 6.93032i | 0.0404105 | + | 0.281061i | ||||
\(609\) | −3.35565 | − | 7.34785i | −0.135978 | − | 0.297750i | ||||
\(610\) | −4.56553 | − | 9.99712i | −0.184853 | − | 0.404772i | ||||
\(611\) | −8.70323 | − | 60.5323i | −0.352095 | − | 2.44887i | ||||
\(612\) | −0.726585 | − | 0.466948i | −0.0293705 | − | 0.0188752i | ||||
\(613\) | −18.9616 | + | 5.56762i | −0.765850 | + | 0.224874i | −0.641249 | − | 0.767333i | \(-0.721583\pi\) |
−0.124601 | + | 0.992207i | \(0.539765\pi\) | |||||||
\(614\) | 1.80910 | − | 12.5826i | 0.0730094 | − | 0.507792i | ||||
\(615\) | −5.24585 | + | 6.05403i | −0.211533 | + | 0.244122i | ||||
\(616\) | 10.9281 | − | 7.02308i | 0.440307 | − | 0.282968i | ||||
\(617\) | −4.51857 | − | 5.21471i | −0.181911 | − | 0.209936i | 0.657469 | − | 0.753482i | \(-0.271627\pi\) |
−0.839380 | + | 0.543545i | \(0.817082\pi\) | |||||||
\(618\) | −0.882654 | − | 0.259171i | −0.0355055 | − | 0.0104254i | ||||
\(619\) | 9.44337 | − | 20.6781i | 0.379561 | − | 0.831123i | −0.619379 | − | 0.785092i | \(-0.712616\pi\) |
0.998940 | − | 0.0460306i | \(-0.0146572\pi\) | |||||||
\(620\) | −1.77708 | −0.0713693 | ||||||||
\(621\) | −2.21537 | − | 4.25348i | −0.0888997 | − | 0.170686i | ||||
\(622\) | −21.3006 | −0.854077 | ||||||||
\(623\) | 5.64466 | − | 12.3601i | 0.226149 | − | 0.495197i | ||||
\(624\) | 4.62769 | + | 1.35881i | 0.185256 | + | 0.0543960i | ||||
\(625\) | 2.69008 | + | 3.10452i | 0.107603 | + | 0.124181i | ||||
\(626\) | 1.59110 | − | 1.02253i | 0.0635929 | − | 0.0408687i | ||||
\(627\) | −22.9581 | + | 26.4950i | −0.916856 | + | 1.05811i | ||||
\(628\) | −2.89500 | + | 20.1352i | −0.115523 | + | 0.803481i | ||||
\(629\) | −0.498984 | + | 0.146515i | −0.0198958 | + | 0.00584193i | ||||
\(630\) | −3.30287 | − | 2.12262i | −0.131589 | − | 0.0845674i | ||||
\(631\) | −4.79472 | − | 33.3480i | −0.190875 | − | 1.32756i | −0.829700 | − | 0.558210i | \(-0.811488\pi\) |
0.638825 | − | 0.769352i | \(-0.279421\pi\) | |||||||
\(632\) | 4.29547 | + | 9.40577i | 0.170865 | + | 0.374141i | ||||
\(633\) | −1.40379 | − | 3.07388i | −0.0557958 | − | 0.122176i | ||||
\(634\) | 3.10410 | + | 21.5895i | 0.123279 | + | 0.857427i | ||||
\(635\) | 8.56814 | + | 5.50641i | 0.340016 | + | 0.218515i | ||||
\(636\) | −4.06135 | + | 1.19252i | −0.161043 | + | 0.0472865i | ||||
\(637\) | −0.184875 | + | 1.28583i | −0.00732499 | + | 0.0509465i | ||||
\(638\) | 10.2095 | − | 11.7824i | 0.404198 | − | 0.466470i | ||||
\(639\) | 4.95046 | − | 3.18147i | 0.195837 | − | 0.125857i | ||||
\(640\) | −0.991025 | − | 1.14370i | −0.0391737 | − | 0.0452089i | ||||
\(641\) | 4.06760 | + | 1.19436i | 0.160661 | + | 0.0471742i | 0.361074 | − | 0.932537i | \(-0.382410\pi\) |
−0.200413 | + | 0.979711i | \(0.564228\pi\) | |||||||
\(642\) | 5.58989 | − | 12.2401i | 0.220615 | − | 0.483080i | ||||
\(643\) | 40.0914 | 1.58105 | 0.790525 | − | 0.612430i | \(-0.209808\pi\) | ||||
0.790525 | + | 0.612430i | \(0.209808\pi\) | |||||||
\(644\) | −11.7407 | + | 4.11850i | −0.462647 | + | 0.162292i | ||||
\(645\) | 2.20834 | 0.0869533 | ||||||||
\(646\) | 2.51211 | − | 5.50074i | 0.0988375 | − | 0.216424i | ||||
\(647\) | 5.46621 | + | 1.60502i | 0.214899 | + | 0.0631000i | 0.387410 | − | 0.921908i | \(-0.373370\pi\) |
−0.172511 | + | 0.985008i | \(0.555188\pi\) | |||||||
\(648\) | −0.654861 | − | 0.755750i | −0.0257254 | − | 0.0296886i | ||||
\(649\) | −16.7708 | + | 10.7780i | −0.658313 | + | 0.423072i | ||||
\(650\) | −8.55875 | + | 9.87733i | −0.335702 | + | 0.387421i | ||||
\(651\) | −0.433561 | + | 3.01548i | −0.0169926 | + | 0.118186i | ||||
\(652\) | 14.3470 | − | 4.21266i | 0.561872 | − | 0.164981i | ||||
\(653\) | 27.1715 | + | 17.4620i | 1.06330 | + | 0.683343i | 0.950642 | − | 0.310291i | \(-0.100426\pi\) |
0.112660 | + | 0.993634i | \(0.464063\pi\) | |||||||
\(654\) | 0.708154 | + | 4.92532i | 0.0276910 | + | 0.192595i | ||||
\(655\) | 11.9426 | + | 26.1507i | 0.466637 | + | 1.02179i | ||||
\(656\) | 2.19894 | + | 4.81500i | 0.0858541 | + | 0.187994i | ||||
\(657\) | −2.04669 | − | 14.2350i | −0.0798489 | − | 0.555361i | ||||
\(658\) | 27.6735 | + | 17.7847i | 1.07882 | + | 0.693318i | ||||
\(659\) | −8.86774 | + | 2.60380i | −0.345438 | + | 0.101430i | −0.449849 | − | 0.893104i | \(-0.648522\pi\) |
0.104411 | + | 0.994534i | \(0.466704\pi\) | |||||||
\(660\) | 1.07839 | − | 7.50037i | 0.0419763 | − | 0.291951i | ||||
\(661\) | 21.2094 | − | 24.4770i | 0.824952 | − | 0.952045i | −0.174516 | − | 0.984654i | \(-0.555836\pi\) |
0.999468 | + | 0.0326090i | \(0.0103816\pi\) | |||||||
\(662\) | 14.6532 | − | 9.41704i | 0.569513 | − | 0.366004i | ||||
\(663\) | −2.72792 | − | 3.14818i | −0.105943 | − | 0.122265i | ||||
\(664\) | −2.53403 | − | 0.744058i | −0.0983394 | − | 0.0288750i | ||||
\(665\) | 11.4194 | − | 25.0050i | 0.442825 | − | 0.969651i | ||||
\(666\) | −0.602123 | −0.0233318 | ||||||||
\(667\) | −12.1273 | + | 8.71240i | −0.469570 | + | 0.337345i | ||||
\(668\) | −12.0503 | −0.466238 | ||||||||
\(669\) | −7.19895 | + | 15.7635i | −0.278328 | + | 0.609452i | ||||
\(670\) | 23.4316 | + | 6.88015i | 0.905243 | + | 0.265803i | ||||
\(671\) | −23.8129 | − | 27.4816i | −0.919287 | − | 1.06091i | ||||
\(672\) | −2.18251 | + | 1.40261i | −0.0841920 | + | 0.0541069i | ||||
\(673\) | −25.3577 | + | 29.2644i | −0.977468 | + | 1.12806i | 0.0142851 | + | 0.999898i | \(0.495453\pi\) |
−0.991753 | + | 0.128161i | \(0.959093\pi\) | |||||||
\(674\) | 2.55426 | − | 17.7653i | 0.0983866 | − | 0.684294i | ||||
\(675\) | 2.60004 | − | 0.763442i | 0.100076 | − | 0.0293849i | ||||
\(676\) | 8.63285 | + | 5.54800i | 0.332033 | + | 0.213385i | ||||
\(677\) | −4.16456 | − | 28.9652i | −0.160057 | − | 1.11322i | −0.898522 | − | 0.438929i | \(-0.855358\pi\) |
0.738465 | − | 0.674292i | \(-0.235551\pi\) | |||||||
\(678\) | −5.65122 | − | 12.3744i | −0.217034 | − | 0.475238i | ||||
\(679\) | −16.1140 | − | 35.2848i | −0.618400 | − | 1.35411i | ||||
\(680\) | 0.186014 | + | 1.29376i | 0.00713331 | + | 0.0496132i | ||||
\(681\) | 10.0282 | + | 6.44475i | 0.384283 | + | 0.246964i | ||||
\(682\) | −5.64161 | + | 1.65653i | −0.216028 | + | 0.0634317i | ||||
\(683\) | 4.68194 | − | 32.5636i | 0.179150 | − | 1.24601i | −0.679587 | − | 0.733595i | \(-0.737841\pi\) |
0.858736 | − | 0.512418i | \(-0.171250\pi\) | |||||||
\(684\) | 4.58506 | − | 5.29144i | 0.175314 | − | 0.202323i | ||||
\(685\) | −3.34423 | + | 2.14921i | −0.127776 | + | 0.0821170i | ||||
\(686\) | −12.3502 | − | 14.2529i | −0.471532 | − | 0.544176i | ||||
\(687\) | −16.2154 | − | 4.76127i | −0.618656 | − | 0.181654i | ||||
\(688\) | 0.606195 | − | 1.32738i | 0.0231110 | − | 0.0506060i | ||||
\(689\) | −20.4151 | −0.777754 | ||||||||
\(690\) | −2.66924 | + | 6.74904i | −0.101616 | + | 0.256931i | ||||
\(691\) | −12.3215 | −0.468730 | −0.234365 | − | 0.972149i | \(-0.575301\pi\) | ||||
−0.234365 | + | 0.972149i | \(0.575301\pi\) | |||||||
\(692\) | 6.43950 | − | 14.1005i | 0.244793 | − | 0.536022i | ||||
\(693\) | −12.4641 | − | 3.65979i | −0.473471 | − | 0.139024i | ||||
\(694\) | 3.15982 | + | 3.64663i | 0.119945 | + | 0.138424i | ||||
\(695\) | −23.4592 | + | 15.0763i | −0.889858 | + | 0.571877i | ||||
\(696\) | −2.03899 | + | 2.35312i | −0.0772877 | + | 0.0891947i | ||||
\(697\) | 0.650640 | − | 4.52530i | 0.0246447 | − | 0.171408i | ||||
\(698\) | −9.93639 | + | 2.91759i | −0.376098 | + | 0.110432i | ||||
\(699\) | 23.9693 | + | 15.4042i | 0.906603 | + | 0.582639i | ||||
\(700\) | −1.00050 | − | 6.95864i | −0.0378154 | − | 0.263012i | ||||
\(701\) | −11.3429 | − | 24.8375i | −0.428415 | − | 0.938098i | −0.993581 | − | 0.113121i | \(-0.963915\pi\) |
0.565166 | − | 0.824977i | \(-0.308812\pi\) | |||||||
\(702\) | −2.00357 | − | 4.38721i | −0.0756199 | − | 0.165585i | ||||
\(703\) | −0.599972 | − | 4.17290i | −0.0226284 | − | 0.157384i | ||||
\(704\) | −4.21228 | − | 2.70707i | −0.158756 | − | 0.102026i | ||||
\(705\) | 18.4113 | − | 5.40606i | 0.693411 | − | 0.203604i | ||||
\(706\) | 4.18001 | − | 29.0726i | 0.157317 | − | 1.09416i | ||||
\(707\) | −0.900919 | + | 1.03972i | −0.0338825 | + | 0.0391025i | ||||
\(708\) | 3.34938 | − | 2.15252i | 0.125878 | − | 0.0808966i | ||||
\(709\) | −7.28814 | − | 8.41096i | −0.273712 | − | 0.315880i | 0.602206 | − | 0.798341i | \(-0.294289\pi\) |
−0.875918 | + | 0.482461i | \(0.839743\pi\) | |||||||
\(710\) | −8.54469 | − | 2.50895i | −0.320677 | − | 0.0941592i | ||||
\(711\) | 4.29547 | − | 9.40577i | 0.161093 | − | 0.352744i | ||||
\(712\) | −5.23754 | −0.196285 | ||||||||
\(713\) | 5.62410 | − | 0.291468i | 0.210624 | − | 0.0109156i | ||||
\(714\) | 2.24072 | 0.0838570 | ||||||||
\(715\) | 15.1820 | − | 33.2440i | 0.567776 | − | 1.24326i | ||||
\(716\) | −6.92297 | − | 2.03277i | −0.258724 | − | 0.0759681i | ||||
\(717\) | 14.4720 | + | 16.7016i | 0.540467 | + | 0.623732i | ||||
\(718\) | −8.41063 | + | 5.40518i | −0.313882 | + | 0.201720i | ||||
\(719\) | −16.8352 | + | 19.4289i | −0.627848 | + | 0.724575i | −0.977177 | − | 0.212425i | \(-0.931864\pi\) |
0.349330 | + | 0.937000i | \(0.386409\pi\) | |||||||
\(720\) | −0.215370 | + | 1.49793i | −0.00802638 | + | 0.0558247i | ||||
\(721\) | 2.28991 | − | 0.672380i | 0.0852809 | − | 0.0250407i | ||||
\(722\) | 25.2562 | + | 16.2312i | 0.939940 | + | 0.604063i | ||||
\(723\) | 0.227440 | + | 1.58188i | 0.00845858 | + | 0.0588307i | ||||
\(724\) | 1.38773 | + | 3.03870i | 0.0515745 | + | 0.112933i | ||||
\(725\) | −3.50499 | − | 7.67486i | −0.130172 | − | 0.285037i | ||||
\(726\) | −2.00258 | − | 13.9282i | −0.0743227 | − | 0.516926i | ||||
\(727\) | 0.0404181 | + | 0.0259751i | 0.00149903 | + | 0.000963365i | 0.541390 | − | 0.840772i | \(-0.317898\pi\) |
−0.539891 | + | 0.841735i | \(0.681535\pi\) | |||||||
\(728\) | −12.0059 | + | 3.52524i | −0.444967 | + | 0.130654i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −14.2523 | + | 16.4481i | −0.527502 | + | 0.608770i | ||||
\(731\) | −1.06027 | + | 0.681395i | −0.0392155 | + | 0.0252023i | ||||
\(732\) | 4.75579 | + | 5.48847i | 0.175779 | + | 0.202860i | ||||
\(733\) | −29.3610 | − | 8.62117i | −1.08447 | − | 0.318430i | −0.309806 | − | 0.950800i | \(-0.600264\pi\) |
−0.774667 | + | 0.632370i | \(0.782082\pi\) | |||||||
\(734\) | 6.93948 | − | 15.1953i | 0.256141 | − | 0.560870i | ||||
\(735\) | −0.407605 | −0.0150348 | ||||||||
\(736\) | 3.32398 | + | 3.45705i | 0.122523 | + | 0.127428i | ||||
\(737\) | 80.8007 | 2.97633 | ||||||||
\(738\) | 2.19894 | − | 4.81500i | 0.0809441 | − | 0.177243i | ||||
\(739\) | 11.5414 | + | 3.38886i | 0.424557 | + | 0.124661i | 0.487030 | − | 0.873385i | \(-0.338080\pi\) |
−0.0624723 | + | 0.998047i | \(0.519899\pi\) | |||||||
\(740\) | 0.596719 | + | 0.688650i | 0.0219358 | + | 0.0253153i | ||||
\(741\) | 28.4083 | − | 18.2569i | 1.04361 | − | 0.670685i | ||||
\(742\) | 7.19129 | − | 8.29919i | 0.264001 | − | 0.304673i | ||||
\(743\) | 1.44897 | − | 10.0778i | 0.0531576 | − | 0.369719i | −0.945827 | − | 0.324670i | \(-0.894747\pi\) |
0.998985 | − | 0.0450487i | \(-0.0143443\pi\) | |||||||
\(744\) | 1.12671 | − | 0.330833i | 0.0413073 | − | 0.0121289i | ||||
\(745\) | −5.03641 | − | 3.23670i | −0.184520 | − | 0.118584i | ||||
\(746\) | −4.72820 | − | 32.8854i | −0.173112 | − | 1.20402i | ||||
\(747\) | 1.09711 | + | 2.40235i | 0.0401413 | + | 0.0878972i | ||||
\(748\) | 1.79652 | + | 3.93383i | 0.0656872 | + | 0.143835i | ||||
\(749\) | 4.96821 | + | 34.5547i | 0.181534 | + | 1.26260i | ||||
\(750\) | −9.81536 | − | 6.30795i | −0.358406 | − | 0.230334i | ||||
\(751\) | 8.70241 | − | 2.55526i | 0.317555 | − | 0.0932427i | −0.119071 | − | 0.992886i | \(-0.537992\pi\) |
0.436626 | + | 0.899643i | \(0.356173\pi\) | |||||||
\(752\) | 1.80450 | − | 12.5506i | 0.0658035 | − | 0.457673i | ||||
\(753\) | 11.5181 | − | 13.2927i | 0.419745 | − | 0.484411i | ||||
\(754\) | −12.6333 | + | 8.11890i | −0.460076 | + | 0.295673i | ||||
\(755\) | 16.1013 | + | 18.5819i | 0.585985 | + | 0.676263i | ||||
\(756\) | 2.48926 | + | 0.730913i | 0.0905336 | + | 0.0265831i | ||||
\(757\) | 7.27301 | − | 15.9257i | 0.264342 | − | 0.578829i | −0.730192 | − | 0.683242i | \(-0.760569\pi\) |
0.994534 | + | 0.104414i | \(0.0332966\pi\) | |||||||
\(758\) | 8.45299 | 0.307026 | ||||||||
\(759\) | −2.18271 | + | 23.9140i | −0.0792274 | + | 0.868023i | ||||
\(760\) | −10.5958 | −0.384348 | ||||||||
\(761\) | −10.3746 | + | 22.7172i | −0.376080 | + | 0.823499i | 0.623066 | + | 0.782169i | \(0.285887\pi\) |
−0.999146 | + | 0.0413301i | \(0.986840\pi\) | |||||||
\(762\) | −6.45752 | − | 1.89610i | −0.233931 | − | 0.0686884i | ||||
\(763\) | −8.45386 | − | 9.75628i | −0.306050 | − | 0.353201i | ||||
\(764\) | −14.3117 | + | 9.19757i | −0.517779 | + | 0.332756i | ||||
\(765\) | 0.855942 | − | 0.987809i | 0.0309466 | − | 0.0357143i | ||||
\(766\) | 0.626651 | − | 4.35846i | 0.0226418 | − | 0.157477i | ||||
\(767\) | 18.4248 | − | 5.41000i | 0.665280 | − | 0.195344i | ||||
\(768\) | 0.841254 | + | 0.540641i | 0.0303561 | + | 0.0195087i | ||||
\(769\) | 1.21150 | + | 8.42615i | 0.0436877 | + | 0.303855i | 0.999936 | + | 0.0112988i | \(0.00359661\pi\) |
−0.956248 | + | 0.292556i | \(0.905494\pi\) | |||||||
\(770\) | 8.16651 | + | 17.8822i | 0.294301 | + | 0.644428i | ||||
\(771\) | −8.59760 | − | 18.8261i | −0.309635 | − | 0.678006i | ||||
\(772\) | 3.23648 | + | 22.5102i | 0.116483 | + | 0.810160i | ||||
\(773\) | 41.2916 | + | 26.5365i | 1.48515 | + | 0.954451i | 0.996641 | + | 0.0818945i | \(0.0260971\pi\) |
0.488513 | + | 0.872556i | \(0.337539\pi\) | |||||||
\(774\) | −1.40014 | + | 0.411119i | −0.0503271 | + | 0.0147774i | ||||
\(775\) | −0.452856 | + | 3.14969i | −0.0162671 | + | 0.113140i | ||||
\(776\) | −9.79134 | + | 11.2998i | −0.351489 | + | 0.405639i | ||||
\(777\) | 1.31414 | − | 0.844544i | 0.0471444 | − | 0.0302979i | ||||
\(778\) | −13.2859 | − | 15.3328i | −0.476323 | − | 0.549706i | ||||
\(779\) | 35.5606 | + | 10.4415i | 1.27409 | + | 0.374107i | ||||
\(780\) | −3.03208 | + | 6.63933i | −0.108566 | + | 0.237726i | ||||
\(781\) | −29.4652 | −1.05435 | ||||||||
\(782\) | −0.800892 | − | 4.06396i | −0.0286398 | − | 0.145327i | ||||
\(783\) | 3.11362 | 0.111272 | ||||||||
\(784\) | −0.111889 | + | 0.245002i | −0.00399603 | + | 0.00875008i | ||||
\(785\) | −29.5376 | − | 8.67304i | −1.05424 | − | 0.309554i | ||||
\(786\) | −12.4403 | − | 14.3569i | −0.443731 | − | 0.512093i | ||||
\(787\) | 3.64692 | − | 2.34373i | 0.129999 | − | 0.0835451i | −0.474025 | − | 0.880511i | \(-0.657199\pi\) |
0.604024 | + | 0.796966i | \(0.293563\pi\) | |||||||
\(788\) | −6.60049 | + | 7.61738i | −0.235133 | + | 0.271358i | ||||
\(789\) | 3.91717 | − | 27.2445i | 0.139455 | − | 0.969930i | ||||
\(790\) | −15.0143 | + | 4.40861i | −0.534186 | + | 0.156851i | ||||
\(791\) | 29.6904 | + | 19.0808i | 1.05567 | + | 0.678437i | ||||
\(792\) | 0.712591 | + | 4.95618i | 0.0253208 | + | 0.176110i | ||||
\(793\) | 14.5505 | + | 31.8612i | 0.516704 | + | 1.13142i | ||||
\(794\) | −5.96409 | − | 13.0595i | −0.211658 | − | 0.463466i | ||||
\(795\) | −0.911622 | − | 6.34047i | −0.0323319 | − | 0.224873i | ||||
\(796\) | −7.93505 | − | 5.09955i | −0.281250 | − | 0.180749i | ||||
\(797\) | 4.30154 | − | 1.26305i | 0.152369 | − | 0.0447394i | −0.204659 | − | 0.978833i | \(-0.565608\pi\) |
0.357027 | + | 0.934094i | \(0.383790\pi\) | |||||||
\(798\) | −2.58509 | + | 17.9797i | −0.0915111 | + | 0.636474i | ||||
\(799\) | −7.17160 | + | 8.27647i | −0.253713 | + | 0.292801i | ||||
\(800\) | −2.27964 | + | 1.46503i | −0.0805974 | + | 0.0517968i | ||||
\(801\) | 3.42986 | + | 3.95827i | 0.121188 | + | 0.139858i | ||||
\(802\) | 11.0648 | + | 3.24893i | 0.390713 | + | 0.114724i | ||||
\(803\) | −29.9139 | + | 65.5024i | −1.05564 | + | 2.31153i | ||||
\(804\) | −16.1371 | −0.569111 | ||||||||
\(805\) | −3.64065 | − | 18.4737i | −0.128316 | − | 0.651113i | ||||
\(806\) | 5.66362 | 0.199492 | ||||||||
\(807\) | −5.51493 | + | 12.0760i | −0.194135 | + | 0.425096i | ||||
\(808\) | 0.508803 | + | 0.149398i | 0.0178996 | + | 0.00525580i | ||||
\(809\) | −18.4045 | − | 21.2399i | −0.647068 | − | 0.746756i | 0.333540 | − | 0.942736i | \(-0.391757\pi\) |
−0.980608 | + | 0.195980i | \(0.937211\pi\) | |||||||
\(810\) | 1.27310 | − | 0.818172i | 0.0447322 | − | 0.0287476i | ||||
\(811\) | −28.6382 | + | 33.0503i | −1.00562 | + | 1.16055i | −0.0186242 | + | 0.999827i | \(0.505929\pi\) |
−0.986999 | + | 0.160725i | \(0.948617\pi\) | |||||||
\(812\) | 1.14959 | − | 7.99561i | 0.0403429 | − | 0.280591i | ||||
\(813\) | −23.1032 | + | 6.78372i | −0.810266 | + | 0.237915i | ||||
\(814\) | 2.53631 | + | 1.62999i | 0.0888975 | + | 0.0571310i | ||||
\(815\) | 3.22037 | + | 22.3981i | 0.112805 | + | 0.784573i | ||||
\(816\) | −0.358791 | − | 0.785643i | −0.0125602 | − | 0.0275030i | ||||
\(817\) | −4.24433 | − | 9.29378i | −0.148490 | − | 0.325148i | ||||
\(818\) | 3.36864 | + | 23.4294i | 0.117782 | + | 0.819191i | ||||
\(819\) | 10.5264 | + | 6.76488i | 0.367821 | + | 0.236384i | ||||
\(820\) | −7.68614 | + | 2.25685i | −0.268412 | + | 0.0788128i | ||||
\(821\) | 0.929349 | − | 6.46377i | 0.0324345 | − | 0.225587i | −0.967157 | − | 0.254181i | \(-0.918194\pi\) |
0.999591 | + | 0.0285943i | \(0.00910310\pi\) | |||||||
\(822\) | 1.72021 | − | 1.98523i | 0.0599994 | − | 0.0692430i | ||||
\(823\) | −0.768728 | + | 0.494031i | −0.0267962 | + | 0.0172208i | −0.553970 | − | 0.832536i | \(-0.686888\pi\) |
0.527174 | + | 0.849757i | \(0.323252\pi\) | |||||||
\(824\) | −0.602418 | − | 0.695227i | −0.0209862 | − | 0.0242194i | ||||
\(825\) | −13.0188 | − | 3.82266i | −0.453256 | − | 0.133088i | ||||
\(826\) | −4.29091 | + | 9.39577i | −0.149300 | + | 0.326921i | ||||
\(827\) | −19.0247 | −0.661554 | −0.330777 | − | 0.943709i | \(-0.607311\pi\) | ||||
−0.330777 | + | 0.943709i | \(0.607311\pi\) | |||||||
\(828\) | 0.435919 | − | 4.77598i | 0.0151492 | − | 0.165977i | ||||
\(829\) | 14.2601 | 0.495272 | 0.247636 | − | 0.968853i | \(-0.420346\pi\) | ||||
0.247636 | + | 0.968853i | \(0.420346\pi\) | |||||||
\(830\) | 1.66030 | − | 3.63556i | 0.0576300 | − | 0.126192i | ||||
\(831\) | 17.5975 | + | 5.16708i | 0.610449 | + | 0.179244i | ||||
\(832\) | 3.15843 | + | 3.64502i | 0.109499 | + | 0.126368i | ||||
\(833\) | 0.195700 | − | 0.125769i | 0.00678060 | − | 0.00435763i | ||||
\(834\) | 12.0670 | − | 13.9261i | 0.417846 | − | 0.482220i | ||||
\(835\) | 2.59527 | − | 18.0505i | 0.0898129 | − | 0.624663i | ||||
\(836\) | −33.6378 | + | 9.87696i | −1.16339 | + | 0.341602i | ||||
\(837\) | −0.987866 | − | 0.634863i | −0.0341457 | − | 0.0219441i | ||||
\(838\) | 0.317409 | + | 2.20763i | 0.0109647 | + | 0.0762614i | ||||
\(839\) | 23.0443 | + | 50.4601i | 0.795579 | + | 1.74208i | 0.659942 | + | 0.751316i | \(0.270581\pi\) |
0.135637 | + | 0.990759i | \(0.456692\pi\) | |||||||
\(840\) | −1.63097 | − | 3.57133i | −0.0562739 | − | 0.123223i | ||||
\(841\) | 2.74744 | + | 19.1089i | 0.0947393 | + | 0.658926i | ||||
\(842\) | −15.1696 | − | 9.74893i | −0.522780 | − | 0.335970i | ||||
\(843\) | 0.0191643 | − | 0.00562713i | 0.000660052 | − | 0.000193809i | ||||
\(844\) | 0.480919 | − | 3.34486i | 0.0165539 | − | 0.115135i | ||||
\(845\) | −10.1698 | + | 11.7366i | −0.349852 | + | 0.403750i | ||||
\(846\) | −10.6668 | + | 6.85514i | −0.366733 | + | 0.235685i | ||||
\(847\) | 23.9066 | + | 27.5896i | 0.821439 | + | 0.947991i | ||||
\(848\) | −4.06135 | − | 1.19252i | −0.139467 | − | 0.0409513i | ||||
\(849\) | 7.29206 | − | 15.9674i | 0.250263 | − | 0.548000i | ||||
\(850\) | 2.34045 | 0.0802766 | ||||||||
\(851\) | −2.00144 | − | 2.08157i | −0.0686085 | − | 0.0713552i | ||||
\(852\) | 5.88463 | 0.201604 | ||||||||
\(853\) | −3.08258 | + | 6.74992i | −0.105546 | + | 0.231113i | −0.955035 | − | 0.296493i | \(-0.904183\pi\) |
0.849489 | + | 0.527606i | \(0.176910\pi\) | |||||||
\(854\) | −18.0777 | − | 5.30810i | −0.618607 | − | 0.181640i | ||||
\(855\) | 6.93874 | + | 8.00774i | 0.237300 | + | 0.273859i | ||||
\(856\) | 11.3200 | − | 7.27495i | 0.386911 | − | 0.248653i | ||||
\(857\) | 16.9617 | − | 19.5749i | 0.579402 | − | 0.668666i | −0.388074 | − | 0.921628i | \(-0.626859\pi\) |
0.967476 | + | 0.252962i | \(0.0814049\pi\) | |||||||
\(858\) | −3.43687 | + | 23.9039i | −0.117333 | + | 0.816067i | ||||
\(859\) | 39.5100 | − | 11.6012i | 1.34807 | − | 0.395828i | 0.473525 | − | 0.880780i | \(-0.342981\pi\) |
0.874540 | + | 0.484953i | \(0.161163\pi\) | |||||||
\(860\) | 1.85777 | + | 1.19392i | 0.0633496 | + | 0.0407123i | ||||
\(861\) | 1.95438 | + | 13.5930i | 0.0666052 | + | 0.463250i | ||||
\(862\) | 9.29184 | + | 20.3463i | 0.316481 | + | 0.692997i | ||||
\(863\) | 20.8680 | + | 45.6946i | 0.710356 | + | 1.55546i | 0.826945 | + | 0.562282i | \(0.190076\pi\) |
−0.116590 | + | 0.993180i | \(0.537196\pi\) | |||||||
\(864\) | −0.142315 | − | 0.989821i | −0.00484165 | − | 0.0336744i | ||||
\(865\) | 19.7348 | + | 12.6828i | 0.671003 | + | 0.431227i | ||||
\(866\) | −16.7957 | + | 4.93167i | −0.570742 | + | 0.167585i | ||||
\(867\) | 2.31319 | − | 16.0886i | 0.0785601 | − | 0.546397i | ||||
\(868\) | −1.99503 | + | 2.30239i | −0.0677157 | + | 0.0781480i | ||||
\(869\) | −43.5557 | + | 27.9916i | −1.47753 | + | 0.949549i | ||||
\(870\) | −3.08568 | − | 3.56106i | −0.104614 | − | 0.120731i | ||||
\(871\) | −74.6774 | − | 21.9273i | −2.53035 | − | 0.742977i | ||||
\(872\) | −2.06709 | + | 4.52630i | −0.0700006 | + | 0.153280i | ||||
\(873\) | 14.9518 | 0.506041 | ||||||||
\(874\) | 33.5334 | − | 1.73786i | 1.13428 | − | 0.0587841i | ||||
\(875\) | 30.2697 | 1.02330 | ||||||||
\(876\) | 5.97425 | − | 13.0818i | 0.201851 | − | 0.441993i | ||||
\(877\) | −17.7533 | − | 5.21283i | −0.599485 | − | 0.176025i | −0.0321104 | − | 0.999484i | \(-0.510223\pi\) |
−0.567375 | + | 0.823460i | \(0.692041\pi\) | |||||||
\(878\) | 9.89763 | + | 11.4225i | 0.334029 | + | 0.385490i | ||||
\(879\) | −2.44506 | + | 1.57135i | −0.0824699 | + | 0.0530002i | ||||
\(880\) | 4.96220 | − | 5.72669i | 0.167276 | − | 0.193047i | ||||
\(881\) | −1.94626 | + | 13.5365i | −0.0655710 | + | 0.456056i | 0.930412 | + | 0.366515i | \(0.119449\pi\) |
−0.995983 | + | 0.0895413i | \(0.971460\pi\) | |||||||
\(882\) | 0.258432 | − | 0.0758824i | 0.00870185 | − | 0.00255509i | ||||
\(883\) | −1.03867 | − | 0.667510i | −0.0349539 | − | 0.0224635i | 0.523047 | − | 0.852304i | \(-0.324795\pi\) |
−0.558001 | + | 0.829840i | \(0.688432\pi\) | |||||||
\(884\) | −0.592833 | − | 4.12324i | −0.0199391 | − | 0.138680i | ||||
\(885\) | 2.50297 | + | 5.48074i | 0.0841365 | + | 0.184233i | ||||
\(886\) | −4.91203 | − | 10.7558i | −0.165023 | − | 0.361349i | ||||
\(887\) | 1.85055 | + | 12.8709i | 0.0621355 | + | 0.432162i | 0.997016 | + | 0.0771985i | \(0.0245975\pi\) |
−0.934880 | + | 0.354963i | \(0.884493\pi\) | |||||||
\(888\) | −0.506538 | − | 0.325532i | −0.0169983 | − | 0.0109241i | ||||
\(889\) | 16.7531 | − | 4.91914i | 0.561880 | − | 0.164983i | ||||
\(890\) | 1.12801 | − | 7.84548i | 0.0378110 | − | 0.262981i | ||||
\(891\) | 3.27898 | − | 3.78415i | 0.109850 | − | 0.126774i | ||||
\(892\) | −14.5785 | + | 9.36906i | −0.488126 | + | 0.313699i | ||||
\(893\) | −58.1370 | − | 67.0937i | −1.94548 | − | 2.24521i | ||||
\(894\) | 3.79577 | + | 1.11454i | 0.126950 | + | 0.0372758i | ||||
\(895\) | 4.53595 | − | 9.93235i | 0.151620 | − | 0.332002i | ||||
\(896\) | −2.59435 | −0.0866712 | ||||||||
\(897\) | 8.50696 | − | 21.5094i | 0.284039 | − | 0.718179i | ||||
\(898\) | −4.68716 | −0.156412 | ||||||||
\(899\) | −1.51887 | + | 3.32585i | −0.0506570 | + | 0.110923i | ||||
\(900\) | 2.60004 | + | 0.763442i | 0.0866681 | + | 0.0254481i | ||||
\(901\) | 2.39407 | + | 2.76291i | 0.0797582 | + | 0.0920458i | ||||
\(902\) | −22.2971 | + | 14.3295i | −0.742411 | + | 0.477119i | ||||
\(903\) | 2.47918 | − | 2.86113i | 0.0825020 | − | 0.0952123i | ||||
\(904\) | 1.93602 | − | 13.4653i | 0.0643911 | − | 0.447850i | ||||
\(905\) | −4.85065 | + | 1.42428i | −0.161241 | + | 0.0473447i | ||||
\(906\) | −13.6679 | − | 8.78384i | −0.454086 | − | 0.291823i | ||||
\(907\) | 1.11653 | + | 7.76562i | 0.0370737 | + | 0.257853i | 0.999926 | − | 0.0121759i | \(-0.00387581\pi\) |
−0.962852 | + | 0.270029i | \(0.912967\pi\) | |||||||
\(908\) | 4.95199 | + | 10.8433i | 0.164338 | + | 0.359849i | ||||
\(909\) | −0.220288 | − | 0.482363i | −0.00730648 | − | 0.0159990i | ||||
\(910\) | −2.69487 | − | 18.7432i | −0.0893339 | − | 0.621331i | ||||
\(911\) | −36.4641 | − | 23.4341i | −1.20811 | − | 0.776406i | −0.227769 | − | 0.973715i | \(-0.573143\pi\) |
−0.980341 | + | 0.197309i | \(0.936780\pi\) | |||||||
\(912\) | 6.71797 | − | 1.97257i | 0.222454 | − | 0.0653184i | ||||
\(913\) | 1.88196 | − | 13.0893i | 0.0622837 | − | 0.433193i | ||||
\(914\) | 18.9009 | − | 21.8128i | 0.625186 | − | 0.721503i | ||||
\(915\) | −9.24562 | + | 5.94180i | −0.305651 | + | 0.196430i | ||||
\(916\) | −11.0671 | − | 12.7721i | −0.365668 | − | 0.422003i | ||||
\(917\) | 47.2882 | + | 13.8851i | 1.56159 | + | 0.458525i | ||||
\(918\) | −0.358791 | + | 0.785643i | −0.0118419 | + | 0.0259301i | ||||
\(919\) | −39.3327 | −1.29747 | −0.648733 | − | 0.761016i | \(-0.724701\pi\) | ||||
−0.648733 | + | 0.761016i | \(0.724701\pi\) | |||||||
\(920\) | −5.89431 | + | 4.23455i | −0.194330 | + | 0.139609i | ||||
\(921\) | −12.7120 | −0.418874 | ||||||||
\(922\) | −0.512678 | + | 1.12261i | −0.0168842 | + | 0.0369712i | ||||
\(923\) | 27.2322 | + | 7.99611i | 0.896360 | + | 0.263195i | ||||
\(924\) | −8.50683 | − | 9.81740i | −0.279854 | − | 0.322969i | ||||
\(925\) | 1.37262 | − | 0.882130i | 0.0451315 | − | 0.0290043i | ||||
\(926\) | −0.357414 | + | 0.412478i | −0.0117454 | + | 0.0135549i | ||||
\(927\) | −0.130918 | + | 0.910554i | −0.00429991 | + | 0.0299065i | ||||
\(928\) | −2.98750 | + | 0.877209i | −0.0980694 | + | 0.0287958i | ||||
\(929\) | 24.8982 | + | 16.0011i | 0.816885 | + | 0.524980i | 0.881085 | − | 0.472957i | \(-0.156813\pi\) |
−0.0642007 | + | 0.997937i | \(0.520450\pi\) | |||||||
\(930\) | 0.252905 | + | 1.75899i | 0.00829308 | + | 0.0576796i | ||||
\(931\) | 0.783398 | + | 1.71540i | 0.0256748 | + | 0.0562201i | ||||
\(932\) | 11.8362 | + | 25.9176i | 0.387707 | + | 0.848959i | ||||
\(933\) | 3.03139 | + | 21.0838i | 0.0992434 | + | 0.690253i | ||||
\(934\) | 13.4000 | + | 8.61166i | 0.438462 | + | 0.281782i | ||||
\(935\) | −6.27953 | + | 1.84384i | −0.205362 | + | 0.0602999i | ||||
\(936\) | 0.686393 | − | 4.77397i | 0.0224355 | − | 0.156042i | ||||
\(937\) | 16.4869 | − | 19.0269i | 0.538604 | − | 0.621582i | −0.419586 | − | 0.907716i | \(-0.637825\pi\) |
0.958190 | + | 0.286134i | \(0.0923702\pi\) | |||||||
\(938\) | 35.2193 | − | 22.6341i | 1.14995 | − | 0.739028i | ||||
\(939\) | −1.23856 | − | 1.42938i | −0.0404190 | − | 0.0466460i | ||||
\(940\) | 18.4113 | + | 5.40606i | 0.600512 | + | 0.176326i | ||||
\(941\) | 7.01577 | − | 15.3624i | 0.228707 | − | 0.500800i | −0.760135 | − | 0.649765i | \(-0.774867\pi\) |
0.988842 | + | 0.148966i | \(0.0475944\pi\) | |||||||
\(942\) | 20.3422 | 0.662785 | ||||||||
\(943\) | 23.9549 | − | 8.40313i | 0.780079 | − | 0.273644i | ||||
\(944\) | 3.98142 | 0.129584 | ||||||||
\(945\) | −1.63097 | + | 3.57133i | −0.0530555 | + | 0.116175i | ||||
\(946\) | 7.01071 | + | 2.05853i | 0.227938 | + | 0.0669286i | ||||
\(947\) | 10.1205 | + | 11.6796i | 0.328871 | + | 0.379537i | 0.895972 | − | 0.444111i | \(-0.146480\pi\) |
−0.567101 | + | 0.823648i | \(0.691935\pi\) | |||||||
\(948\) | 8.69872 | − | 5.59033i | 0.282521 | − | 0.181565i | ||||
\(949\) | 45.4227 | − | 52.4206i | 1.47448 | − | 1.70164i | ||||
\(950\) | −2.70013 | + | 18.7798i | −0.0876039 | + | 0.609299i | ||||
\(951\) | 20.9280 | − | 6.14500i | 0.678635 | − | 0.199265i | ||||
\(952\) | 1.88502 | + | 1.21143i | 0.0610937 | + | 0.0392626i | ||||
\(953\) | −0.147874 | − | 1.02848i | −0.00479010 | − | 0.0333159i | 0.987286 | − | 0.158953i | \(-0.0508117\pi\) |
−0.992076 | + | 0.125637i | \(0.959903\pi\) | |||||||
\(954\) | 1.75837 | + | 3.85030i | 0.0569295 | + | 0.124658i | ||||
\(955\) | −10.6950 | − | 23.4188i | −0.346083 | − | 0.757816i | ||||
\(956\) | 3.14507 | + | 21.8744i | 0.101719 | + | 0.707470i | ||||
\(957\) | −13.1154 | − | 8.42878i | −0.423962 | − | 0.272464i | ||||
\(958\) | 0.245117 | − | 0.0719730i | 0.00791939 | − | 0.00232534i | ||||
\(959\) | −0.969868 | + | 6.74558i | −0.0313187 | + | 0.217826i | ||||
\(960\) | −0.991025 | + | 1.14370i | −0.0319852 | + | 0.0369129i | ||||
\(961\) | −24.9188 | + | 16.0144i | −0.803833 | + | 0.516592i | ||||
\(962\) | −1.90176 | − | 2.19475i | −0.0613153 | − | 0.0707616i | ||||
\(963\) | −12.9111 | − | 3.79104i | −0.416054 | − | 0.122164i | ||||
\(964\) | −0.663894 | + | 1.45372i | −0.0213826 | + | 0.0468213i | ||||
\(965\) | −34.4158 | −1.10789 | ||||||||
\(966\) | 5.74745 | + | 11.0350i | 0.184921 | + | 0.355046i | ||||
\(967\) | 23.1795 | 0.745404 | 0.372702 | − | 0.927951i | \(-0.378431\pi\) | ||||
0.372702 | + | 0.927951i | \(0.378431\pi\) | |||||||
\(968\) | 5.84550 | − | 12.7999i | 0.187881 | − | 0.411403i | ||||
\(969\) | −5.80226 | − | 1.70370i | −0.186396 | − | 0.0547307i | ||||
\(970\) | −14.8176 | − | 17.1004i | −0.475764 | − | 0.549061i | ||||
\(971\) | 5.20032 | − | 3.34204i | 0.166886 | − | 0.107251i | −0.454532 | − | 0.890731i | \(-0.650193\pi\) |
0.621418 | + | 0.783479i | \(0.286557\pi\) | |||||||
\(972\) | −0.654861 | + | 0.755750i | −0.0210047 | + | 0.0242407i | ||||
\(973\) | −6.80345 | + | 47.3190i | −0.218109 | + | 1.51698i | ||||
\(974\) | −24.5398 | + | 7.20554i | −0.786307 | + | 0.230881i | ||||
\(975\) | 10.9948 | + | 7.06595i | 0.352116 | + | 0.226291i | ||||
\(976\) | 1.03353 | + | 7.18837i | 0.0330825 | + | 0.230094i | ||||
\(977\) | −12.6508 | − | 27.7014i | −0.404735 | − | 0.886247i | −0.996768 | − | 0.0803331i | \(-0.974402\pi\) |
0.592033 | − | 0.805914i | \(-0.298326\pi\) | |||||||
\(978\) | −6.21157 | − | 13.6015i | −0.198624 | − | 0.434926i | ||||
\(979\) | −3.73222 | − | 25.9582i | −0.119282 | − | 0.829626i | ||||
\(980\) | −0.342900 | − | 0.220368i | −0.0109535 | − | 0.00703940i | ||||
\(981\) | 4.77441 | − | 1.40189i | 0.152435 | − | 0.0447590i | ||||
\(982\) | 1.07115 | − | 7.45000i | 0.0341817 | − | 0.237739i | ||||
\(983\) | −0.963632 | + | 1.11209i | −0.0307351 | + | 0.0354702i | −0.770909 | − | 0.636945i | \(-0.780198\pi\) |
0.740174 | + | 0.672415i | \(0.234743\pi\) | |||||||
\(984\) | 4.45305 | − | 2.86180i | 0.141958 | − | 0.0912310i | ||||
\(985\) | −9.98877 | − | 11.5277i | −0.318269 | − | 0.367302i | ||||
\(986\) | 2.58028 | + | 0.757639i | 0.0821729 | + | 0.0241281i | ||||
\(987\) | 13.6653 | − | 29.9228i | 0.434971 | − | 0.952453i | ||||
\(988\) | 33.7690 | 1.07434 | ||||||||
\(989\) | −6.07530 | − | 3.47381i | −0.193183 | − | 0.110461i | ||||
\(990\) | −7.57749 | −0.240829 | ||||||||
\(991\) | −13.1105 | + | 28.7080i | −0.416470 | + | 0.911941i | 0.578862 | + | 0.815426i | \(0.303497\pi\) |
−0.995331 | + | 0.0965155i | \(0.969230\pi\) | |||||||
\(992\) | 1.12671 | + | 0.330833i | 0.0357732 | + | 0.0105039i | ||||
\(993\) | −11.4066 | − | 13.1639i | −0.361976 | − | 0.417743i | ||||
\(994\) | −12.8432 | + | 8.25385i | −0.407363 | + | 0.261796i | ||||
\(995\) | 9.34776 | − | 10.7879i | 0.296344 | − | 0.341999i | ||||
\(996\) | −0.375855 | + | 2.61413i | −0.0119094 | + | 0.0828318i | ||||
\(997\) | −14.7556 | + | 4.33262i | −0.467313 | + | 0.137216i | −0.506908 | − | 0.862000i | \(-0.669212\pi\) |
0.0395945 | + | 0.999216i | \(0.487393\pi\) | |||||||
\(998\) | −33.7689 | − | 21.7020i | −1.06894 | − | 0.686964i | ||||
\(999\) | 0.0856910 | + | 0.595994i | 0.00271114 | + | 0.0188564i |
(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 | 138.2.e.a.121.1 | yes | 10 | |
3.2 | odd | 2 | 414.2.i.d.397.1 | 10 | |||
23.2 | even | 11 | 3174.2.a.bc.1.5 | 5 | |||
23.4 | even | 11 | inner | 138.2.e.a.73.1 | ✓ | 10 | |
23.21 | odd | 22 | 3174.2.a.bd.1.1 | 5 | |||
69.2 | odd | 22 | 9522.2.a.bt.1.1 | 5 | |||
69.44 | even | 22 | 9522.2.a.bq.1.5 | 5 | |||
69.50 | odd | 22 | 414.2.i.d.73.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.a.73.1 | ✓ | 10 | 23.4 | even | 11 | inner | |
138.2.e.a.121.1 | yes | 10 | 1.1 | even | 1 | trivial | |
414.2.i.d.73.1 | 10 | 69.50 | odd | 22 | |||
414.2.i.d.397.1 | 10 | 3.2 | odd | 2 | |||
3174.2.a.bc.1.5 | 5 | 23.2 | even | 11 | |||
3174.2.a.bd.1.1 | 5 | 23.21 | odd | 22 | |||
9522.2.a.bq.1.5 | 5 | 69.44 | even | 22 | |||
9522.2.a.bt.1.1 | 5 | 69.2 | odd | 22 |