Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.1 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.1 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.56739 | + | 0.985528i | −1.81542 | + | 0.696873i | −0.823927 | + | 0.566696i | \(0.808221\pi\) |
−0.991491 | + | 0.130177i | \(0.958445\pi\) | |||||||
\(3\) | −0.915361 | − | 0.0962083i | −0.528484 | − | 0.0555459i | −0.163471 | − | 0.986548i | \(-0.552269\pi\) |
−0.365013 | + | 0.931002i | \(0.618936\pi\) | |||||||
\(4\) | 4.13393 | − | 3.72220i | 2.06696 | − | 1.86110i | ||||
\(5\) | 0.706575 | − | 0.706575i | 0.315990 | − | 0.315990i | −0.531235 | − | 0.847225i | \(-0.678272\pi\) |
0.847225 | + | 0.531235i | \(0.178272\pi\) | |||||||
\(6\) | 2.44490 | − | 0.655110i | 0.998127 | − | 0.267447i | ||||
\(7\) | −0.0270244 | + | 0.515657i | −0.0102143 | + | 0.194900i | 0.988756 | + | 0.149536i | \(0.0477780\pi\) |
−0.998971 | + | 0.0453638i | \(0.985555\pi\) | |||||||
\(8\) | −4.44807 | + | 8.72982i | −1.57263 | + | 3.08646i | ||||
\(9\) | −2.10581 | − | 0.447604i | −0.701938 | − | 0.149201i | ||||
\(10\) | −1.11770 | + | 2.51040i | −0.353448 | + | 0.793858i | ||||
\(11\) | −2.34166 | + | 3.60584i | −0.706037 | + | 1.08720i | 0.285626 | + | 0.958341i | \(0.407798\pi\) |
−0.991663 | + | 0.128860i | \(0.958868\pi\) | |||||||
\(12\) | −4.14214 | + | 3.00944i | −1.19573 | + | 0.868751i | ||||
\(13\) | 3.13623 | − | 1.77878i | 0.869833 | − | 0.493346i | ||||
\(14\) | −0.438812 | − | 1.35052i | −0.117277 | − | 0.360943i | ||||
\(15\) | −0.714749 | + | 0.578792i | −0.184547 | + | 0.149444i | ||||
\(16\) | 1.65350 | − | 15.7320i | 0.413375 | − | 3.93300i | ||||
\(17\) | 6.78949 | + | 1.44315i | 1.64669 | + | 0.350015i | 0.935594 | − | 0.353077i | \(-0.114865\pi\) |
0.711099 | + | 0.703092i | \(0.248198\pi\) | |||||||
\(18\) | 5.84757 | − | 0.926164i | 1.37828 | − | 0.218299i | ||||
\(19\) | −4.82154 | − | 3.90440i | −1.10614 | − | 0.895731i | −0.110959 | − | 0.993825i | \(-0.535392\pi\) |
−0.995177 | + | 0.0980937i | \(0.968726\pi\) | |||||||
\(20\) | 0.290913 | − | 5.55094i | 0.0650500 | − | 1.24123i | ||||
\(21\) | 0.0743476 | − | 0.469412i | 0.0162240 | − | 0.102434i | ||||
\(22\) | 2.45829 | − | 11.5654i | 0.524110 | − | 2.46574i | ||||
\(23\) | 1.24986 | − | 1.38811i | 0.260613 | − | 0.289440i | −0.598611 | − | 0.801040i | \(-0.704280\pi\) |
0.859224 | + | 0.511600i | \(0.170947\pi\) | |||||||
\(24\) | 4.91147 | − | 7.56300i | 1.00255 | − | 1.54379i | ||||
\(25\) | 4.00150i | 0.800301i | ||||||||
\(26\) | −6.29888 | + | 7.65767i | −1.23531 | + | 1.50179i | ||||
\(27\) | 4.51058 | + | 1.46558i | 0.868062 | + | 0.282050i | ||||
\(28\) | 1.80766 | + | 2.23228i | 0.341616 | + | 0.421861i | ||||
\(29\) | 0.533097 | − | 1.19736i | 0.0989937 | − | 0.222343i | −0.857259 | − | 0.514885i | \(-0.827834\pi\) |
0.956253 | + | 0.292542i | \(0.0945011\pi\) | |||||||
\(30\) | 1.26462 | − | 2.19039i | 0.230887 | − | 0.399909i | ||||
\(31\) | 4.18520 | + | 3.67208i | 0.751683 | + | 0.659524i | ||||
\(32\) | 6.18748 | + | 23.0920i | 1.09380 | + | 4.08212i | ||||
\(33\) | 2.49037 | − | 3.07536i | 0.433518 | − | 0.535351i | ||||
\(34\) | −18.8535 | + | 2.98610i | −3.23335 | + | 0.512113i | ||||
\(35\) | 0.345255 | + | 0.383445i | 0.0583588 | + | 0.0648140i | ||||
\(36\) | −10.3714 | + | 5.98790i | −1.72856 | + | 0.997984i | ||||
\(37\) | 6.39514 | + | 1.71357i | 1.05135 | + | 0.281710i | 0.742811 | − | 0.669501i | \(-0.233492\pi\) |
0.308543 | + | 0.951210i | \(0.400159\pi\) | |||||||
\(38\) | 16.2266 | + | 5.27236i | 2.63231 | + | 0.855289i | ||||
\(39\) | −3.04191 | + | 1.32650i | −0.487096 | + | 0.212410i | ||||
\(40\) | 3.02538 | + | 9.31116i | 0.478355 | + | 1.47222i | ||||
\(41\) | 1.75378 | − | 0.673211i | 0.273894 | − | 0.105138i | −0.217544 | − | 0.976050i | \(-0.569805\pi\) |
0.491438 | + | 0.870912i | \(0.336471\pi\) | |||||||
\(42\) | 0.271740 | + | 1.27843i | 0.0419303 | + | 0.197267i | ||||
\(43\) | −0.891115 | − | 8.47839i | −0.135894 | − | 1.29294i | −0.823691 | − | 0.567039i | \(-0.808089\pi\) |
0.687797 | − | 0.725903i | \(-0.258578\pi\) | |||||||
\(44\) | 3.74142 | + | 23.6224i | 0.564040 | + | 3.56121i | ||||
\(45\) | −1.80418 | + | 1.17165i | −0.268951 | + | 0.174659i | ||||
\(46\) | −1.84085 | + | 4.79558i | −0.271418 | + | 0.707069i | ||||
\(47\) | 1.42187 | + | 8.97736i | 0.207402 | + | 1.30948i | 0.843189 | + | 0.537618i | \(0.180676\pi\) |
−0.635787 | + | 0.771865i | \(0.719324\pi\) | |||||||
\(48\) | −3.02710 | + | 14.2414i | −0.436924 | + | 2.05556i | ||||
\(49\) | 6.69648 | + | 0.703829i | 0.956640 | + | 0.100547i | ||||
\(50\) | −3.94359 | − | 10.2734i | −0.557708 | − | 1.45288i | ||||
\(51\) | −6.07599 | − | 1.97421i | −0.850809 | − | 0.276445i | ||||
\(52\) | 6.34394 | − | 19.0270i | 0.879747 | − | 2.63858i | ||||
\(53\) | −3.19588 | + | 1.03840i | −0.438987 | + | 0.142636i | −0.520168 | − | 0.854064i | \(-0.674131\pi\) |
0.0811810 | + | 0.996699i | \(0.474131\pi\) | |||||||
\(54\) | −13.0248 | + | 0.682600i | −1.77245 | + | 0.0928901i | ||||
\(55\) | 0.893237 | + | 4.20235i | 0.120444 | + | 0.566645i | ||||
\(56\) | −4.38139 | − | 2.52959i | −0.585487 | − | 0.338031i | ||||
\(57\) | 4.03781 | + | 4.03781i | 0.534821 | + | 0.534821i | ||||
\(58\) | −0.188640 | + | 3.59946i | −0.0247696 | + | 0.472632i | ||||
\(59\) | 1.01429 | + | 0.389350i | 0.132050 | + | 0.0506891i | 0.423495 | − | 0.905898i | \(-0.360803\pi\) |
−0.291446 | + | 0.956587i | \(0.594136\pi\) | |||||||
\(60\) | −0.800337 | + | 5.05313i | −0.103323 | + | 0.652356i | ||||
\(61\) | 6.99495 | + | 4.03854i | 0.895612 | + | 0.517082i | 0.875774 | − | 0.482721i | \(-0.160352\pi\) |
0.0198381 | + | 0.999803i | \(0.493685\pi\) | |||||||
\(62\) | −14.3640 | − | 5.30301i | −1.82422 | − | 0.673483i | ||||
\(63\) | 0.287719 | − | 1.07378i | 0.0362491 | − | 0.135284i | ||||
\(64\) | −20.0475 | − | 27.5930i | −2.50594 | − | 3.44913i | ||||
\(65\) | 0.959137 | − | 3.47282i | 0.118966 | − | 0.430751i | ||||
\(66\) | −3.36291 | + | 10.3500i | −0.413945 | + | 1.27399i | ||||
\(67\) | 12.6703 | + | 3.39501i | 1.54793 | + | 0.414766i | 0.928817 | − | 0.370538i | \(-0.120827\pi\) |
0.619111 | + | 0.785304i | \(0.287493\pi\) | |||||||
\(68\) | 33.4389 | − | 19.3060i | 4.05507 | − | 2.34119i | ||||
\(69\) | −1.27762 | + | 1.15037i | −0.153807 | + | 0.138488i | ||||
\(70\) | −1.26430 | − | 0.644193i | −0.151113 | − | 0.0769957i | ||||
\(71\) | 0.374442 | − | 0.243165i | 0.0444380 | − | 0.0288584i | −0.522229 | − | 0.852805i | \(-0.674899\pi\) |
0.566667 | + | 0.823947i | \(0.308233\pi\) | |||||||
\(72\) | 13.2743 | − | 16.3924i | 1.56439 | − | 1.93186i | ||||
\(73\) | 2.99429 | + | 5.87662i | 0.350455 | + | 0.687807i | 0.997190 | − | 0.0749076i | \(-0.0238662\pi\) |
−0.646735 | + | 0.762714i | \(0.723866\pi\) | |||||||
\(74\) | −18.1076 | + | 1.90318i | −2.10496 | + | 0.221241i | ||||
\(75\) | 0.384978 | − | 3.66282i | 0.0444534 | − | 0.422946i | ||||
\(76\) | −34.4648 | + | 1.80623i | −3.95339 | + | 0.207188i | ||||
\(77\) | −1.79609 | − | 1.30494i | −0.204684 | − | 0.148711i | ||||
\(78\) | 6.50248 | − | 6.40352i | 0.736260 | − | 0.725056i | ||||
\(79\) | −1.02824 | + | 0.334096i | −0.115686 | + | 0.0375887i | −0.366288 | − | 0.930502i | \(-0.619372\pi\) |
0.250602 | + | 0.968090i | \(0.419372\pi\) | |||||||
\(80\) | −9.94751 | − | 12.2841i | −1.11217 | − | 1.37341i | ||||
\(81\) | 1.91239 | + | 0.851452i | 0.212488 | + | 0.0946058i | ||||
\(82\) | −3.83915 | + | 3.45679i | −0.423964 | + | 0.381739i | ||||
\(83\) | 5.65071 | + | 0.894985i | 0.620246 | + | 0.0982374i | 0.458646 | − | 0.888619i | \(-0.348335\pi\) |
0.161600 | + | 0.986856i | \(0.448335\pi\) | |||||||
\(84\) | −1.43990 | − | 2.21725i | −0.157106 | − | 0.241922i | ||||
\(85\) | 5.81697 | − | 3.77759i | 0.630939 | − | 0.409737i | ||||
\(86\) | 10.6435 | + | 20.8891i | 1.14772 | + | 2.25253i | ||||
\(87\) | −0.603172 | + | 1.04472i | −0.0646668 | + | 0.112006i | ||||
\(88\) | −21.0625 | − | 36.4813i | −2.24527 | − | 3.88892i | ||||
\(89\) | 6.03617 | − | 9.29489i | 0.639833 | − | 0.985256i | −0.358822 | − | 0.933406i | \(-0.616822\pi\) |
0.998655 | − | 0.0518501i | \(-0.0165118\pi\) | |||||||
\(90\) | 3.47734 | − | 4.78615i | 0.366544 | − | 0.504504i | ||||
\(91\) | 0.832487 | + | 1.66529i | 0.0872683 | + | 0.174570i | ||||
\(92\) | − | 10.3905i | − | 1.08329i | ||||||
\(93\) | −3.47768 | − | 3.76392i | −0.360619 | − | 0.390301i | ||||
\(94\) | −12.4979 | − | 21.6471i | −1.28906 | − | 2.23272i | ||||
\(95\) | −6.16553 | + | 0.648023i | −0.632570 | + | 0.0664857i | ||||
\(96\) | −3.44213 | − | 21.7328i | −0.351311 | − | 2.21809i | ||||
\(97\) | 1.06553 | + | 0.0558421i | 0.108188 | + | 0.00566990i | 0.106353 | − | 0.994328i | \(-0.466083\pi\) |
0.00183497 | + | 0.999998i | \(0.499416\pi\) | |||||||
\(98\) | −17.8861 | + | 4.79257i | −1.80677 | + | 0.484123i | ||||
\(99\) | 6.54508 | − | 6.54508i | 0.657806 | − | 0.657806i | ||||
\(100\) | 14.8944 | + | 16.5419i | 1.48944 | + | 1.65419i | ||||
\(101\) | 3.84554 | + | 3.46254i | 0.382646 | + | 0.344536i | 0.837898 | − | 0.545827i | \(-0.183784\pi\) |
−0.455252 | + | 0.890363i | \(0.650451\pi\) | |||||||
\(102\) | 17.5451 | − | 0.919498i | 1.73722 | − | 0.0910438i | ||||
\(103\) | −4.29571 | − | 5.91254i | −0.423269 | − | 0.582580i | 0.543123 | − | 0.839653i | \(-0.317242\pi\) |
−0.966392 | + | 0.257073i | \(0.917242\pi\) | |||||||
\(104\) | 1.57831 | + | 35.2909i | 0.154766 | + | 3.46055i | ||||
\(105\) | −0.279142 | − | 0.384207i | −0.0272415 | − | 0.0374947i | ||||
\(106\) | 7.18168 | − | 5.81561i | 0.697546 | − | 0.564862i | ||||
\(107\) | −7.08894 | + | 7.87307i | −0.685314 | + | 0.761118i | −0.980966 | − | 0.194177i | \(-0.937796\pi\) |
0.295653 | + | 0.955296i | \(0.404463\pi\) | |||||||
\(108\) | 24.1016 | − | 10.7307i | 2.31918 | − | 1.03256i | ||||
\(109\) | −18.1671 | + | 2.87738i | −1.74009 | + | 0.275603i | −0.944089 | − | 0.329691i | \(-0.893055\pi\) |
−0.796002 | + | 0.605294i | \(0.793055\pi\) | |||||||
\(110\) | −6.43482 | − | 9.90875i | −0.613536 | − | 0.944762i | ||||
\(111\) | −5.68900 | − | 2.18380i | −0.539976 | − | 0.207277i | ||||
\(112\) | 8.06762 | + | 1.27779i | 0.762319 | + | 0.120739i | ||||
\(113\) | −4.40370 | − | 4.89081i | −0.414266 | − | 0.460089i | 0.499510 | − | 0.866308i | \(-0.333513\pi\) |
−0.913775 | + | 0.406220i | \(0.866847\pi\) | |||||||
\(114\) | −14.3460 | − | 6.38725i | −1.34363 | − | 0.598221i | ||||
\(115\) | −0.0976838 | − | 1.86392i | −0.00910906 | − | 0.173811i | ||||
\(116\) | −2.25302 | − | 6.93408i | −0.209188 | − | 0.643813i | ||||
\(117\) | −7.40050 | + | 2.34200i | −0.684177 | + | 0.216518i | ||||
\(118\) | −2.98780 | −0.275049 | ||||||||
\(119\) | −0.927652 | + | 3.46205i | −0.0850377 | + | 0.317365i | ||||
\(120\) | −1.87350 | − | 8.81414i | −0.171027 | − | 0.804617i | ||||
\(121\) | −3.04460 | − | 6.83828i | −0.276782 | − | 0.621662i | ||||
\(122\) | −21.9389 | − | 3.47477i | −1.98625 | − | 0.314591i | ||||
\(123\) | −1.67011 | + | 0.447504i | −0.150588 | + | 0.0403500i | ||||
\(124\) | 30.9695 | − | 0.398065i | 2.78114 | − | 0.0357473i | ||||
\(125\) | 6.36023 | + | 6.36023i | 0.568877 | + | 0.568877i | ||||
\(126\) | 0.319555 | + | 3.04037i | 0.0284682 | + | 0.270857i | ||||
\(127\) | −0.696715 | + | 6.62880i | −0.0618235 | + | 0.588211i | 0.919128 | + | 0.393959i | \(0.128895\pi\) |
−0.980952 | + | 0.194252i | \(0.937772\pi\) | |||||||
\(128\) | 38.5639 | + | 25.0437i | 3.40860 | + | 2.21357i | ||||
\(129\) | 7.84652i | 0.690847i | ||||||||
\(130\) | 0.960088 | + | 9.86134i | 0.0842052 | + | 0.864897i | ||||
\(131\) | 3.84929 | − | 11.8469i | 0.336314 | − | 1.03507i | −0.629757 | − | 0.776792i | \(-0.716845\pi\) |
0.966071 | − | 0.258277i | \(-0.0831546\pi\) | |||||||
\(132\) | −1.15208 | − | 21.9830i | −0.100276 | − | 1.91337i | ||||
\(133\) | 2.14363 | − | 2.38074i | 0.185876 | − | 0.206437i | ||||
\(134\) | −35.8755 | + | 3.77067i | −3.09918 | + | 0.325736i | ||||
\(135\) | 4.22260 | − | 2.15152i | 0.363424 | − | 0.185174i | ||||
\(136\) | −42.7986 | + | 52.8518i | −3.66995 | + | 4.53201i | ||||
\(137\) | 0.656035 | − | 1.70903i | 0.0560489 | − | 0.146012i | −0.902697 | − | 0.430277i | \(-0.858416\pi\) |
0.958746 | + | 0.284264i | \(0.0917493\pi\) | |||||||
\(138\) | 2.14642 | − | 4.21258i | 0.182715 | − | 0.358598i | ||||
\(139\) | 3.93455 | + | 8.83714i | 0.333724 | + | 0.749556i | 0.999993 | + | 0.00384442i | \(0.00122372\pi\) |
−0.666269 | + | 0.745712i | \(0.732110\pi\) | |||||||
\(140\) | 2.85452 | + | 0.300022i | 0.241251 | + | 0.0253565i | ||||
\(141\) | −0.437831 | − | 8.35432i | −0.0368720 | − | 0.703561i | ||||
\(142\) | −0.721691 | + | 0.993322i | −0.0605629 | + | 0.0833577i | ||||
\(143\) | −0.929973 | + | 15.4740i | −0.0777683 | + | 1.29400i | ||||
\(144\) | −10.5237 | + | 32.3885i | −0.876973 | + | 2.69904i | ||||
\(145\) | −0.469348 | − | 1.22269i | −0.0389773 | − | 0.101539i | ||||
\(146\) | −13.4791 | − | 12.1366i | −1.11554 | − | 1.00443i | ||||
\(147\) | −6.06198 | − | 1.28851i | −0.499984 | − | 0.106275i | ||||
\(148\) | 32.8153 | − | 16.7202i | 2.69740 | − | 1.37439i | ||||
\(149\) | −3.60746 | − | 13.4632i | −0.295535 | − | 1.10295i | −0.940792 | − | 0.338985i | \(-0.889916\pi\) |
0.645257 | − | 0.763965i | \(-0.276750\pi\) | |||||||
\(150\) | 2.62142 | + | 9.78329i | 0.214038 | + | 0.798802i | ||||
\(151\) | −4.79218 | − | 9.40518i | −0.389982 | − | 0.765383i | 0.609645 | − | 0.792674i | \(-0.291312\pi\) |
−0.999628 | + | 0.0272913i | \(0.991312\pi\) | |||||||
\(152\) | 55.5313 | − | 24.7241i | 4.50418 | − | 2.00539i | ||||
\(153\) | −13.6514 | − | 6.07801i | −1.10365 | − | 0.491378i | ||||
\(154\) | 5.89732 | + | 1.58018i | 0.475219 | + | 0.127335i | ||||
\(155\) | 5.55175 | − | 0.362558i | 0.445927 | − | 0.0291214i | ||||
\(156\) | −7.63756 | + | 16.8063i | −0.611494 | + | 1.34558i | ||||
\(157\) | 13.2783 | − | 9.64724i | 1.05972 | − | 0.769933i | 0.0856853 | − | 0.996322i | \(-0.472692\pi\) |
0.974037 | + | 0.226389i | \(0.0726920\pi\) | |||||||
\(158\) | 2.31063 | − | 1.87111i | 0.183824 | − | 0.148858i | ||||
\(159\) | 3.02528 | − | 0.643044i | 0.239921 | − | 0.0509967i | ||||
\(160\) | 20.6881 | + | 11.9443i | 1.63554 | + | 0.944279i | ||||
\(161\) | 0.682010 | + | 0.682010i | 0.0537499 | + | 0.0537499i | ||||
\(162\) | −5.74899 | − | 0.301292i | −0.451683 | − | 0.0236717i | ||||
\(163\) | 5.96366 | + | 9.18323i | 0.467110 | + | 0.719286i | 0.991199 | − | 0.132377i | \(-0.0422609\pi\) |
−0.524090 | + | 0.851663i | \(0.675594\pi\) | |||||||
\(164\) | 4.74415 | − | 9.31092i | 0.370456 | − | 0.727060i | ||||
\(165\) | −0.413333 | − | 3.93260i | −0.0321779 | − | 0.306153i | ||||
\(166\) | −15.3896 | + | 3.27116i | −1.19447 | + | 0.253891i | ||||
\(167\) | −8.06295 | + | 3.09508i | −0.623930 | + | 0.239504i | −0.649733 | − | 0.760163i | \(-0.725119\pi\) |
0.0258029 | + | 0.999667i | \(0.491786\pi\) | |||||||
\(168\) | 3.76718 | + | 2.73702i | 0.290644 | + | 0.211165i | ||||
\(169\) | 6.67186 | − | 11.1573i | 0.513220 | − | 0.858257i | ||||
\(170\) | −11.2115 | + | 15.4313i | −0.859884 | + | 1.18353i | ||||
\(171\) | 8.40563 | + | 10.3801i | 0.642794 | + | 0.793785i | ||||
\(172\) | −35.2421 | − | 31.7321i | −2.68718 | − | 2.41955i | ||||
\(173\) | 2.49028 | + | 5.59327i | 0.189333 | + | 0.425249i | 0.983124 | − | 0.182942i | \(-0.0585622\pi\) |
−0.793791 | + | 0.608191i | \(0.791896\pi\) | |||||||
\(174\) | 0.518971 | − | 3.27666i | 0.0393431 | − | 0.248403i | ||||
\(175\) | −2.06340 | − | 0.108138i | −0.155979 | − | 0.00817449i | ||||
\(176\) | 52.8551 | + | 42.8012i | 3.98410 | + | 3.22626i | ||||
\(177\) | −0.890984 | − | 0.453979i | −0.0669705 | − | 0.0341232i | ||||
\(178\) | −6.33682 | + | 29.8124i | −0.474965 | + | 2.23453i | ||||
\(179\) | −7.46603 | + | 1.58695i | −0.558037 | + | 0.118614i | −0.478292 | − | 0.878201i | \(-0.658744\pi\) |
−0.0797450 | + | 0.996815i | \(0.525411\pi\) | |||||||
\(180\) | −3.09723 | + | 11.5590i | −0.230854 | + | 0.861559i | ||||
\(181\) | 4.44979 | 0.330750 | 0.165375 | − | 0.986231i | \(-0.447117\pi\) | ||||
0.165375 | + | 0.986231i | \(0.447117\pi\) | |||||||
\(182\) | −3.77850 | − | 3.45500i | −0.280081 | − | 0.256102i | ||||
\(183\) | −6.01437 | − | 4.36969i | −0.444595 | − | 0.323017i | ||||
\(184\) | 6.55848 | + | 17.0854i | 0.483497 | + | 1.25955i | ||||
\(185\) | 5.72941 | − | 3.30788i | 0.421235 | − | 0.243200i | ||||
\(186\) | 12.6380 | + | 6.23610i | 0.926664 | + | 0.457253i | ||||
\(187\) | −21.1024 | + | 21.1024i | −1.54316 | + | 1.54316i | ||||
\(188\) | 39.2935 | + | 31.8192i | 2.86577 | + | 2.32066i | ||||
\(189\) | −0.877630 | + | 2.28631i | −0.0638382 | + | 0.166304i | ||||
\(190\) | 15.1907 | − | 7.74002i | 1.10205 | − | 0.561520i | ||||
\(191\) | −2.14463 | + | 3.71460i | −0.155180 | + | 0.268779i | −0.933124 | − | 0.359554i | \(-0.882929\pi\) |
0.777945 | + | 0.628333i | \(0.216262\pi\) | |||||||
\(192\) | 15.6960 | + | 27.1863i | 1.13276 | + | 1.96200i | ||||
\(193\) | 8.27620 | + | 5.37463i | 0.595734 | + | 0.386874i | 0.806997 | − | 0.590555i | \(-0.201091\pi\) |
−0.211264 | + | 0.977429i | \(0.567758\pi\) | |||||||
\(194\) | −2.79066 | + | 0.906741i | −0.200358 | + | 0.0651002i | ||||
\(195\) | −1.21207 | + | 3.08661i | −0.0867982 | + | 0.221037i | ||||
\(196\) | 30.3026 | − | 22.0161i | 2.16447 | − | 1.57258i | ||||
\(197\) | −22.4973 | − | 14.6099i | −1.60286 | − | 1.04091i | −0.961922 | − | 0.273324i | \(-0.911877\pi\) |
−0.640943 | − | 0.767589i | \(-0.721456\pi\) | |||||||
\(198\) | −10.3534 | + | 23.2541i | −0.735785 | + | 1.65260i | ||||
\(199\) | −14.7275 | + | 6.55710i | −1.04400 | + | 0.464820i | −0.855798 | − | 0.517309i | \(-0.826934\pi\) |
−0.188205 | + | 0.982130i | \(0.560267\pi\) | |||||||
\(200\) | −34.9324 | − | 17.7990i | −2.47010 | − | 1.25858i | ||||
\(201\) | −11.2713 | − | 4.32665i | −0.795017 | − | 0.305178i | ||||
\(202\) | −13.2854 | − | 5.09980i | −0.934760 | − | 0.358821i | ||||
\(203\) | 0.603018 | + | 0.307253i | 0.0423236 | + | 0.0215649i | ||||
\(204\) | −32.4661 | + | 14.4548i | −2.27308 | + | 1.01204i | ||||
\(205\) | 0.763499 | − | 1.71485i | 0.0533251 | − | 0.119770i | ||||
\(206\) | 16.8557 | + | 10.9462i | 1.17439 | + | 0.762660i | ||||
\(207\) | −3.25329 | + | 2.36365i | −0.226119 | + | 0.164285i | ||||
\(208\) | −22.7981 | − | 52.2804i | −1.58076 | − | 3.62499i | ||||
\(209\) | 25.3690 | − | 8.24290i | 1.75481 | − | 0.570173i | ||||
\(210\) | 1.09531 | + | 0.711305i | 0.0755838 | + | 0.0490847i | ||||
\(211\) | −7.86813 | − | 13.6280i | −0.541665 | − | 0.938190i | −0.998809 | − | 0.0487979i | \(-0.984461\pi\) |
0.457144 | − | 0.889393i | \(-0.348872\pi\) | |||||||
\(212\) | −9.34637 | + | 16.1884i | −0.641911 | + | 1.11182i | ||||
\(213\) | −0.366144 | + | 0.186560i | −0.0250878 | + | 0.0127829i | ||||
\(214\) | 10.4409 | − | 27.1996i | 0.713728 | − | 1.85932i | ||||
\(215\) | −6.62025 | − | 5.36098i | −0.451498 | − | 0.365615i | ||||
\(216\) | −32.8576 | + | 32.8576i | −2.23568 | + | 2.23568i | ||||
\(217\) | −2.00663 | + | 2.05889i | −0.136219 | + | 0.139766i | ||||
\(218\) | 43.8062 | − | 25.2915i | 2.96693 | − | 1.71296i | ||||
\(219\) | −2.17548 | − | 5.66731i | −0.147005 | − | 0.382961i | ||||
\(220\) | 19.3346 | + | 14.0474i | 1.30354 | + | 0.947075i | ||||
\(221\) | 23.8604 | − | 7.55098i | 1.60503 | − | 0.507934i | ||||
\(222\) | 16.7581 | 1.12473 | ||||||||
\(223\) | −5.83711 | + | 21.7844i | −0.390882 | + | 1.45879i | 0.437800 | + | 0.899072i | \(0.355758\pi\) |
−0.828682 | + | 0.559719i | \(0.810909\pi\) | |||||||
\(224\) | −12.0747 | + | 2.56657i | −0.806778 | + | 0.171486i | ||||
\(225\) | 1.79109 | − | 8.42642i | 0.119406 | − | 0.561761i | ||||
\(226\) | 16.1260 | + | 8.21663i | 1.07269 | + | 0.546562i | ||||
\(227\) | −16.0775 | − | 13.0193i | −1.06710 | − | 0.864121i | −0.0759828 | − | 0.997109i | \(-0.524209\pi\) |
−0.991118 | + | 0.132988i | \(0.957543\pi\) | |||||||
\(228\) | 31.7215 | + | 1.66246i | 2.10081 | + | 0.110099i | ||||
\(229\) | 1.37523 | − | 8.68289i | 0.0908780 | − | 0.573781i | −0.899665 | − | 0.436580i | \(-0.856189\pi\) |
0.990543 | − | 0.137201i | \(-0.0438106\pi\) | |||||||
\(230\) | 2.08773 | + | 4.68913i | 0.137661 | + | 0.309192i | ||||
\(231\) | 1.51853 | + | 1.36729i | 0.0999117 | + | 0.0899609i | ||||
\(232\) | 8.08146 | + | 9.97977i | 0.530574 | + | 0.655204i | ||||
\(233\) | 5.72722 | − | 7.88284i | 0.375203 | − | 0.516422i | −0.579103 | − | 0.815254i | \(-0.696597\pi\) |
0.954306 | + | 0.298832i | \(0.0965971\pi\) | |||||||
\(234\) | 16.6919 | − | 13.3062i | 1.09118 | − | 0.869854i | ||||
\(235\) | 7.34783 | + | 5.33851i | 0.479320 | + | 0.348246i | ||||
\(236\) | 5.64225 | − | 2.16586i | 0.367279 | − | 0.140985i | ||||
\(237\) | 0.973355 | − | 0.206893i | 0.0632262 | − | 0.0134391i | ||||
\(238\) | −1.03030 | − | 9.80264i | −0.0667844 | − | 0.635411i | ||||
\(239\) | 4.76356 | − | 9.34902i | 0.308129 | − | 0.604738i | −0.684068 | − | 0.729419i | \(-0.739791\pi\) |
0.992197 | + | 0.124681i | \(0.0397907\pi\) | |||||||
\(240\) | 7.92372 | + | 12.2015i | 0.511474 | + | 0.787601i | ||||
\(241\) | −16.6153 | − | 0.870771i | −1.07029 | − | 0.0560913i | −0.490956 | − | 0.871184i | \(-0.663352\pi\) |
−0.579330 | + | 0.815093i | \(0.696686\pi\) | |||||||
\(242\) | 14.5560 | + | 14.5560i | 0.935694 | + | 0.935694i | ||||
\(243\) | −13.9905 | − | 8.07743i | −0.897493 | − | 0.518168i | ||||
\(244\) | 43.9489 | − | 9.34162i | 2.81354 | − | 0.598036i | ||||
\(245\) | 5.22887 | − | 4.23426i | 0.334060 | − | 0.270517i | ||||
\(246\) | 3.84678 | − | 2.79485i | 0.245262 | − | 0.178193i | ||||
\(247\) | −22.0665 | − | 3.66863i | −1.40406 | − | 0.233430i | ||||
\(248\) | −50.6726 | + | 20.2024i | −3.21771 | + | 1.28285i | ||||
\(249\) | −5.08634 | − | 1.36288i | −0.322333 | − | 0.0863690i | ||||
\(250\) | −22.5974 | − | 10.0610i | −1.42918 | − | 0.636314i | ||||
\(251\) | −0.515069 | + | 0.229324i | −0.0325109 | + | 0.0144748i | −0.422928 | − | 0.906163i | \(-0.638998\pi\) |
0.390417 | + | 0.920638i | \(0.372331\pi\) | |||||||
\(252\) | −2.80742 | − | 5.50988i | −0.176851 | − | 0.347090i | ||||
\(253\) | 2.07855 | + | 7.75725i | 0.130677 | + | 0.487694i | ||||
\(254\) | −4.74413 | − | 17.7053i | −0.297673 | − | 1.11093i | ||||
\(255\) | −5.68807 | + | 2.89821i | −0.356200 | + | 0.181493i | ||||
\(256\) | −56.9668 | − | 12.1087i | −3.56042 | − | 0.756791i | ||||
\(257\) | 6.45787 | + | 5.81469i | 0.402831 | + | 0.362711i | 0.845501 | − | 0.533974i | \(-0.179302\pi\) |
−0.442670 | + | 0.896685i | \(0.645969\pi\) | |||||||
\(258\) | −7.73296 | − | 20.1451i | −0.481433 | − | 1.25418i | ||||
\(259\) | −1.05644 | + | 3.25139i | −0.0656440 | + | 0.202031i | ||||
\(260\) | −8.96155 | − | 17.9265i | −0.555772 | − | 1.11175i | ||||
\(261\) | −1.65855 | + | 2.28279i | −0.102661 | + | 0.141301i | ||||
\(262\) | 1.79283 | + | 34.2092i | 0.110761 | + | 2.11345i | ||||
\(263\) | 24.8124 | + | 2.60789i | 1.53000 | + | 0.160809i | 0.831792 | − | 0.555087i | \(-0.187315\pi\) |
0.698207 | + | 0.715896i | \(0.253982\pi\) | |||||||
\(264\) | 15.7700 | + | 35.4199i | 0.970574 | + | 2.17995i | ||||
\(265\) | −1.52442 | + | 2.99183i | −0.0936441 | + | 0.183787i | ||||
\(266\) | −3.15724 | + | 8.22490i | −0.193583 | + | 0.504301i | ||||
\(267\) | −6.41952 | + | 7.92745i | −0.392868 | + | 0.485152i | ||||
\(268\) | 65.0151 | − | 33.1269i | 3.97143 | − | 2.02355i | ||||
\(269\) | −14.8368 | + | 1.55941i | −0.904613 | + | 0.0950786i | −0.545399 | − | 0.838177i | \(-0.683622\pi\) |
−0.359214 | + | 0.933255i | \(0.616955\pi\) | |||||||
\(270\) | −8.72067 | + | 9.68529i | −0.530723 | + | 0.589428i | ||||
\(271\) | 0.234315 | + | 4.47100i | 0.0142336 | + | 0.271594i | 0.996470 | + | 0.0839472i | \(0.0267527\pi\) |
−0.982237 | + | 0.187647i | \(0.939914\pi\) | |||||||
\(272\) | 33.9301 | − | 104.426i | 2.05731 | − | 6.33175i | ||||
\(273\) | −0.601811 | − | 1.60443i | −0.0364233 | − | 0.0971046i | ||||
\(274\) | 5.03429i | 0.304132i | ||||||||
\(275\) | −14.4288 | − | 9.37016i | −0.870088 | − | 0.565042i | ||||
\(276\) | −0.999657 | + | 9.51110i | −0.0601723 | + | 0.572501i | ||||
\(277\) | 1.64067 | + | 15.6099i | 0.0985783 | + | 0.937910i | 0.926304 | + | 0.376777i | \(0.122968\pi\) |
−0.827726 | + | 0.561133i | \(0.810366\pi\) | |||||||
\(278\) | −18.8108 | − | 18.8108i | −1.12819 | − | 1.12819i | ||||
\(279\) | −7.16960 | − | 9.60602i | −0.429233 | − | 0.575097i | ||||
\(280\) | −4.88312 | + | 1.30843i | −0.291822 | + | 0.0781936i | ||||
\(281\) | −30.7034 | − | 4.86294i | −1.83161 | − | 0.290099i | −0.857218 | − | 0.514954i | \(-0.827809\pi\) |
−0.974392 | + | 0.224855i | \(0.927809\pi\) | |||||||
\(282\) | 9.35750 | + | 21.0173i | 0.557231 | + | 1.25156i | ||||
\(283\) | 3.39053 | + | 15.9512i | 0.201546 | + | 0.948201i | 0.956344 | + | 0.292243i | \(0.0944016\pi\) |
−0.754798 | + | 0.655958i | \(0.772265\pi\) | |||||||
\(284\) | 0.642803 | − | 2.39898i | 0.0381434 | − | 0.142353i | ||||
\(285\) | 5.70603 | 0.337996 | ||||||||
\(286\) | −12.8625 | − | 40.6444i | −0.760575 | − | 2.40335i | ||||
\(287\) | 0.299751 | + | 0.922539i | 0.0176938 | + | 0.0544558i | ||||
\(288\) | −2.69360 | − | 51.3969i | −0.158722 | − | 3.02859i | ||||
\(289\) | 28.4842 | + | 12.6820i | 1.67554 | + | 0.745999i | ||||
\(290\) | 2.41000 | + | 2.67657i | 0.141520 | + | 0.157174i | ||||
\(291\) | −0.969972 | − | 0.153628i | −0.0568608 | − | 0.00900586i | ||||
\(292\) | 34.2522 | + | 13.1482i | 2.00446 | + | 0.769439i | ||||
\(293\) | 1.62916 | + | 2.50868i | 0.0951764 | + | 0.146559i | 0.883051 | − | 0.469277i | \(-0.155485\pi\) |
−0.787875 | + | 0.615835i | \(0.788819\pi\) | |||||||
\(294\) | 16.8333 | − | 2.66614i | 0.981740 | − | 0.155492i | ||||
\(295\) | 0.991778 | − | 0.441568i | 0.0577435 | − | 0.0257091i | ||||
\(296\) | −43.4052 | + | 48.2064i | −2.52288 | + | 2.80194i | ||||
\(297\) | −15.8469 | + | 12.8325i | −0.919529 | + | 0.744620i | ||||
\(298\) | 22.5301 | + | 31.0101i | 1.30514 | + | 1.79636i | ||||
\(299\) | 1.45070 | − | 6.57664i | 0.0838959 | − | 0.380337i | ||||
\(300\) | −12.0423 | − | 16.5748i | −0.695262 | − | 0.956946i | ||||
\(301\) | 4.39602 | − | 0.230386i | 0.253382 | − | 0.0132792i | ||||
\(302\) | 21.5725 | + | 19.4239i | 1.24136 | + | 1.11772i | ||||
\(303\) | −3.18694 | − | 3.53945i | −0.183085 | − | 0.203336i | ||||
\(304\) | −69.3964 | + | 69.3964i | −3.98016 | + | 3.98016i | ||||
\(305\) | 7.79599 | − | 2.08893i | 0.446397 | − | 0.119612i | ||||
\(306\) | 41.0386 | + | 2.15074i | 2.34602 | + | 0.122950i | ||||
\(307\) | −0.107682 | − | 0.679879i | −0.00614575 | − | 0.0388027i | 0.984425 | − | 0.175806i | \(-0.0562530\pi\) |
−0.990571 | + | 0.137003i | \(0.956253\pi\) | |||||||
\(308\) | −12.2822 | + | 1.29091i | −0.699841 | + | 0.0735562i | ||||
\(309\) | 3.36329 | + | 5.82539i | 0.191331 | + | 0.331395i | ||||
\(310\) | −13.8962 | + | 6.40223i | −0.789250 | + | 0.363622i | ||||
\(311\) | 9.64048i | 0.546661i | 0.961920 | + | 0.273331i | \(0.0881253\pi\) | ||||
−0.961920 | + | 0.273331i | \(0.911875\pi\) | |||||||
\(312\) | 1.95056 | − | 32.4557i | 0.110428 | − | 1.83744i | ||||
\(313\) | −1.70441 | + | 2.34593i | −0.0963392 | + | 0.132600i | −0.854465 | − | 0.519508i | \(-0.826115\pi\) |
0.758126 | + | 0.652108i | \(0.226115\pi\) | |||||||
\(314\) | −24.5829 | + | 37.8543i | −1.38729 | + | 2.13624i | ||||
\(315\) | −0.555411 | − | 0.962001i | −0.0312939 | − | 0.0542026i | ||||
\(316\) | −3.00710 | + | 5.20845i | −0.169163 | + | 0.292998i | ||||
\(317\) | 4.24038 | + | 8.32221i | 0.238163 | + | 0.467422i | 0.978891 | − | 0.204384i | \(-0.0655190\pi\) |
−0.740727 | + | 0.671806i | \(0.765519\pi\) | |||||||
\(318\) | −7.13334 | + | 4.63244i | −0.400018 | + | 0.259775i | ||||
\(319\) | 3.06914 | + | 4.72606i | 0.171839 | + | 0.264609i | ||||
\(320\) | −33.6616 | − | 5.33147i | −1.88174 | − | 0.298038i | ||||
\(321\) | 7.24639 | − | 6.52468i | 0.404454 | − | 0.364172i | ||||
\(322\) | −2.42312 | − | 1.07884i | −0.135035 | − | 0.0601216i | ||||
\(323\) | −27.1011 | − | 33.4671i | −1.50795 | − | 1.86216i | ||||
\(324\) | 11.0750 | − | 3.59848i | 0.615276 | − | 0.199915i | ||||
\(325\) | 7.11781 | + | 12.5496i | 0.394825 | + | 0.696128i | ||||
\(326\) | −24.3614 | − | 17.6996i | −1.34925 | − | 0.980288i | ||||
\(327\) | 16.9063 | − | 0.886020i | 0.934918 | − | 0.0489970i | ||||
\(328\) | −1.92390 | + | 18.3046i | −0.106229 | + | 1.01070i | ||||
\(329\) | −4.66766 | + | 0.490591i | −0.257336 | + | 0.0270471i | ||||
\(330\) | 4.93688 | + | 9.68917i | 0.271766 | + | 0.533371i | ||||
\(331\) | 13.3509 | − | 16.4870i | 0.733830 | − | 0.906205i | −0.264475 | − | 0.964392i | \(-0.585199\pi\) |
0.998306 | + | 0.0581875i | \(0.0185321\pi\) | |||||||
\(332\) | 26.6909 | − | 17.3333i | 1.46486 | − | 0.951289i | ||||
\(333\) | −12.7000 | − | 6.47096i | −0.695954 | − | 0.354606i | ||||
\(334\) | 17.6504 | − | 15.8925i | 0.965789 | − | 0.869600i | ||||
\(335\) | 11.3514 | − | 6.55371i | 0.620191 | − | 0.358068i | ||||
\(336\) | −7.26185 | − | 1.94581i | −0.396167 | − | 0.106153i | ||||
\(337\) | −5.84804 | + | 17.9984i | −0.318563 | + | 0.980436i | 0.655700 | + | 0.755022i | \(0.272374\pi\) |
−0.974263 | + | 0.225415i | \(0.927626\pi\) | |||||||
\(338\) | −6.13339 | + | 35.2205i | −0.333612 | + | 1.91574i | ||||
\(339\) | 3.56044 | + | 4.90053i | 0.193377 | + | 0.266160i | ||||
\(340\) | 9.98599 | − | 37.2682i | 0.541566 | − | 2.02115i | ||||
\(341\) | −23.0412 | + | 6.49239i | −1.24775 | + | 0.351583i | ||||
\(342\) | −31.8104 | − | 18.3657i | −1.72011 | − | 0.993104i | ||||
\(343\) | −1.10934 | + | 7.00411i | −0.0598989 | + | 0.378187i | ||||
\(344\) | 77.9786 | + | 29.9332i | 4.20432 | + | 1.61389i | ||||
\(345\) | −0.0899084 | + | 1.71556i | −0.00484051 | + | 0.0923624i | ||||
\(346\) | −11.9059 | − | 11.9059i | −0.640063 | − | 0.640063i | ||||
\(347\) | −7.42942 | − | 4.28938i | −0.398832 | − | 0.230266i | 0.287148 | − | 0.957886i | \(-0.407293\pi\) |
−0.685980 | + | 0.727620i | \(0.740626\pi\) | |||||||
\(348\) | 1.39521 | + | 6.56394i | 0.0747911 | + | 0.351864i | ||||
\(349\) | 31.8940 | − | 1.67149i | 1.70724 | − | 0.0894729i | 0.826462 | − | 0.562993i | \(-0.190350\pi\) |
0.880783 | + | 0.473520i | \(0.157017\pi\) | |||||||
\(350\) | 5.40413 | − | 1.75591i | 0.288863 | − | 0.0938572i | ||||
\(351\) | 16.7532 | − | 3.42696i | 0.894217 | − | 0.182918i | ||||
\(352\) | −97.7549 | − | 31.7625i | −5.21035 | − | 1.69295i | ||||
\(353\) | −2.19799 | − | 5.72597i | −0.116987 | − | 0.304763i | 0.862567 | − | 0.505943i | \(-0.168856\pi\) |
−0.979554 | + | 0.201181i | \(0.935522\pi\) | |||||||
\(354\) | 2.73491 | + | 0.287451i | 0.145359 | + | 0.0152778i | ||||
\(355\) | 0.0927566 | − | 0.436385i | 0.00492301 | − | 0.0231609i | ||||
\(356\) | −9.64438 | − | 60.8922i | −0.511151 | − | 3.22728i | ||||
\(357\) | 1.18221 | − | 3.07977i | 0.0625694 | − | 0.162999i | ||||
\(358\) | 17.6042 | − | 11.4323i | 0.930411 | − | 0.604216i | ||||
\(359\) | 0.876977 | + | 5.53702i | 0.0462851 | + | 0.292233i | 0.999963 | − | 0.00859691i | \(-0.00273651\pi\) |
−0.953678 | + | 0.300829i | \(0.902737\pi\) | |||||||
\(360\) | −2.20317 | − | 20.9617i | −0.116117 | − | 1.10478i | ||||
\(361\) | 4.05252 | + | 19.0656i | 0.213291 | + | 1.00345i | ||||
\(362\) | −11.4243 | + | 4.38539i | −0.600450 | + | 0.230491i | ||||
\(363\) | 2.12901 | + | 6.55241i | 0.111744 | + | 0.343912i | ||||
\(364\) | 9.63998 | + | 3.78549i | 0.505272 | + | 0.198414i | ||||
\(365\) | 6.26796 | + | 2.03658i | 0.328080 | + | 0.106600i | ||||
\(366\) | 19.7477 | + | 5.29137i | 1.03223 | + | 0.276584i | ||||
\(367\) | 5.26511 | − | 3.03981i | 0.274836 | − | 0.158677i | −0.356247 | − | 0.934392i | \(-0.615944\pi\) |
0.631084 | + | 0.775715i | \(0.282611\pi\) | |||||||
\(368\) | −19.7710 | − | 21.9580i | −1.03064 | − | 1.14464i | ||||
\(369\) | −3.99446 | + | 0.632660i | −0.207943 | + | 0.0329350i | ||||
\(370\) | −11.4496 | + | 14.1391i | −0.595237 | + | 0.735057i | ||||
\(371\) | −0.449093 | − | 1.67604i | −0.0233157 | − | 0.0870155i | ||||
\(372\) | −28.3866 | − | 2.61515i | −1.47177 | − | 0.135589i | ||||
\(373\) | 16.5935 | − | 28.7408i | 0.859180 | − | 1.48814i | −0.0135331 | − | 0.999908i | \(-0.504308\pi\) |
0.872713 | − | 0.488234i | \(-0.162359\pi\) | |||||||
\(374\) | 33.3811 | − | 74.9752i | 1.72610 | − | 3.87687i | ||||
\(375\) | −5.21000 | − | 6.43382i | −0.269043 | − | 0.332241i | ||||
\(376\) | −84.6954 | − | 27.5192i | −4.36783 | − | 1.41919i | ||||
\(377\) | −0.457922 | − | 4.70345i | −0.0235842 | − | 0.242240i | ||||
\(378\) | − | 6.73476i | − | 0.346399i | ||||||
\(379\) | 5.15058 | − | 7.93120i | 0.264567 | − | 0.407398i | −0.681273 | − | 0.732029i | \(-0.738573\pi\) |
0.945841 | + | 0.324631i | \(0.105240\pi\) | |||||||
\(380\) | −23.0758 | + | 25.6282i | −1.18376 | + | 1.31470i | ||||
\(381\) | 1.27549 | − | 6.00072i | 0.0653454 | − | 0.307426i | ||||
\(382\) | 1.84524 | − | 11.6504i | 0.0944108 | − | 0.596087i | ||||
\(383\) | 1.17579 | − | 22.4355i | 0.0600803 | − | 1.14640i | −0.787702 | − | 0.616056i | \(-0.788729\pi\) |
0.847782 | − | 0.530344i | \(-0.177937\pi\) | |||||||
\(384\) | −32.8905 | − | 26.6342i | −1.67844 | − | 1.35917i | ||||
\(385\) | −2.19111 | + | 0.347038i | −0.111669 | + | 0.0176867i | ||||
\(386\) | −26.5451 | − | 5.64233i | −1.35111 | − | 0.287187i | ||||
\(387\) | −1.91844 | + | 18.2528i | −0.0975200 | + | 0.927841i | ||||
\(388\) | 4.61268 | − | 3.73527i | 0.234173 | − | 0.189630i | ||||
\(389\) | −0.559725 | − | 1.72266i | −0.0283792 | − | 0.0873422i | 0.935864 | − | 0.352362i | \(-0.114621\pi\) |
−0.964243 | + | 0.265020i | \(0.914621\pi\) | |||||||
\(390\) | 0.0699161 | − | 9.11905i | 0.00354034 | − | 0.461761i | ||||
\(391\) | 10.4891 | − | 7.62080i | 0.530458 | − | 0.385401i | ||||
\(392\) | −35.9307 | + | 55.3284i | −1.81477 | + | 2.79451i | ||||
\(393\) | −4.66326 | + | 10.4739i | −0.235231 | + | 0.528336i | ||||
\(394\) | 72.1577 | + | 15.3376i | 3.63525 | + | 0.772697i | ||||
\(395\) | −0.490466 | + | 0.962593i | −0.0246780 | + | 0.0484333i | ||||
\(396\) | 2.69476 | − | 51.4190i | 0.135417 | − | 2.58390i | ||||
\(397\) | −0.675196 | + | 0.180918i | −0.0338871 | + | 0.00908002i | −0.275723 | − | 0.961237i | \(-0.588917\pi\) |
0.241836 | + | 0.970317i | \(0.422251\pi\) | |||||||
\(398\) | 31.3490 | − | 31.3490i | 1.57138 | − | 1.57138i | ||||
\(399\) | −2.19124 | + | 1.97300i | −0.109699 | + | 0.0987737i | ||||
\(400\) | 62.9517 | + | 6.61649i | 3.14758 | + | 0.330824i | ||||
\(401\) | −15.8274 | + | 6.07556i | −0.790382 | + | 0.303399i | −0.719867 | − | 0.694112i | \(-0.755797\pi\) |
−0.0705143 | + | 0.997511i | \(0.522464\pi\) | |||||||
\(402\) | 33.2018 | 1.65596 | ||||||||
\(403\) | 19.6576 | + | 4.07191i | 0.979213 | + | 0.202836i | ||||
\(404\) | 28.7855 | 1.43213 | ||||||||
\(405\) | 1.95286 | − | 0.749634i | 0.0970385 | − | 0.0372496i | ||||
\(406\) | −1.85099 | − | 0.194547i | −0.0918630 | − | 0.00965519i | ||||
\(407\) | −21.1541 | + | 19.0472i | −1.04857 | + | 0.944137i | ||||
\(408\) | 44.2609 | − | 44.2609i | 2.19124 | − | 2.19124i | ||||
\(409\) | −7.35305 | + | 1.97024i | −0.363585 | + | 0.0974223i | −0.435986 | − | 0.899953i | \(-0.643600\pi\) |
0.0724015 | + | 0.997376i | \(0.476934\pi\) | |||||||
\(410\) | −0.270169 | + | 5.15513i | −0.0133427 | + | 0.254594i | ||||
\(411\) | −0.764932 | + | 1.50126i | −0.0377313 | + | 0.0740519i | ||||
\(412\) | −39.7658 | − | 8.45249i | −1.95912 | − | 0.416424i | ||||
\(413\) | −0.228182 | + | 0.512504i | −0.0112281 | + | 0.0252187i | ||||
\(414\) | 6.02301 | − | 9.27462i | 0.296015 | − | 0.455822i | ||||
\(415\) | 4.62502 | − | 3.36028i | 0.227033 | − | 0.164949i | ||||
\(416\) | 60.4810 | + | 61.4155i | 2.96532 | + | 3.01114i | ||||
\(417\) | −2.75132 | − | 8.46771i | −0.134733 | − | 0.414665i | ||||
\(418\) | −57.0085 | + | 46.1646i | −2.78838 | + | 2.25798i | ||||
\(419\) | −0.128414 | + | 1.22178i | −0.00627345 | + | 0.0596879i | −0.997211 | − | 0.0746374i | \(-0.976220\pi\) |
0.990937 | + | 0.134325i | \(0.0428867\pi\) | |||||||
\(420\) | −2.58405 | − | 0.549257i | −0.126089 | − | 0.0268010i | ||||
\(421\) | −25.5869 | + | 4.05257i | −1.24703 | + | 0.197510i | −0.744838 | − | 0.667245i | \(-0.767473\pi\) |
−0.502193 | + | 0.864756i | \(0.667473\pi\) | |||||||
\(422\) | 33.6313 | + | 27.2341i | 1.63715 | + | 1.32574i | ||||
\(423\) | 1.02410 | − | 19.5411i | 0.0497937 | − | 0.950120i | ||||
\(424\) | 5.15040 | − | 32.5183i | 0.250125 | − | 1.57923i | ||||
\(425\) | −5.77477 | + | 27.1682i | −0.280118 | + | 1.31785i | ||||
\(426\) | 0.756173 | − | 0.839816i | 0.0366367 | − | 0.0406892i | ||||
\(427\) | −2.27153 | + | 3.49786i | −0.109927 | + | 0.169273i | ||||
\(428\) | 58.9332i | 2.84864i | ||||||||
\(429\) | 2.33999 | − | 14.0749i | 0.112976 | − | 0.679540i | ||||
\(430\) | 22.2801 | + | 7.23926i | 1.07444 | + | 0.349108i | ||||
\(431\) | 10.6490 | + | 13.1504i | 0.512944 | + | 0.633434i | 0.966153 | − | 0.257971i | \(-0.0830539\pi\) |
−0.453208 | + | 0.891405i | \(0.649721\pi\) | |||||||
\(432\) | 30.5147 | − | 68.5371i | 1.46814 | − | 3.29749i | ||||
\(433\) | −13.1328 | + | 22.7467i | −0.631122 | + | 1.09314i | 0.356201 | + | 0.934409i | \(0.384072\pi\) |
−0.987323 | + | 0.158726i | \(0.949261\pi\) | |||||||
\(434\) | 3.12271 | − | 7.26356i | 0.149895 | − | 0.348662i | ||||
\(435\) | 0.311990 | + | 1.16436i | 0.0149588 | + | 0.0558269i | ||||
\(436\) | −64.3912 | + | 79.5165i | −3.08378 | + | 3.80815i | ||||
\(437\) | −11.4460 | + | 1.81286i | −0.547534 | + | 0.0867209i | ||||
\(438\) | 11.1706 | + | 12.4062i | 0.533751 | + | 0.592790i | ||||
\(439\) | 5.17406 | − | 2.98725i | 0.246944 | − | 0.142573i | −0.371420 | − | 0.928465i | \(-0.621129\pi\) |
0.618364 | + | 0.785892i | \(0.287796\pi\) | |||||||
\(440\) | −40.6590 | − | 10.8945i | −1.93834 | − | 0.519376i | ||||
\(441\) | −13.7865 | − | 4.47951i | −0.656500 | − | 0.213310i | ||||
\(442\) | −53.8173 | + | 42.9014i | −2.55983 | + | 2.04061i | ||||
\(443\) | 3.70898 | + | 11.4151i | 0.176219 | + | 0.542346i | 0.999687 | − | 0.0250166i | \(-0.00796387\pi\) |
−0.823468 | + | 0.567362i | \(0.807964\pi\) | |||||||
\(444\) | −31.6465 | + | 12.1479i | −1.50188 | + | 0.576516i | ||||
\(445\) | −2.30253 | − | 10.8325i | −0.109150 | − | 0.513511i | ||||
\(446\) | −6.48300 | − | 61.6817i | −0.306979 | − | 2.92071i | ||||
\(447\) | 2.00685 | + | 12.6708i | 0.0949209 | + | 0.599307i | ||||
\(448\) | 14.7703 | − | 9.59194i | 0.697831 | − | 0.453177i | ||||
\(449\) | 11.7296 | − | 30.5567i | 0.553555 | − | 1.44206i | −0.316256 | − | 0.948674i | \(-0.602426\pi\) |
0.869811 | − | 0.493385i | \(-0.164241\pi\) | |||||||
\(450\) | 3.70605 | + | 23.3991i | 0.174705 | + | 1.10304i | ||||
\(451\) | −1.67925 | + | 7.90026i | −0.0790729 | + | 0.372009i | ||||
\(452\) | −36.4092 | − | 3.82676i | −1.71254 | − | 0.179996i | ||||
\(453\) | 3.48172 | + | 9.07018i | 0.163585 | + | 0.426154i | ||||
\(454\) | 54.1080 | + | 17.5808i | 2.53942 | + | 0.825106i | ||||
\(455\) | 1.76486 | + | 0.588436i | 0.0827381 | + | 0.0275863i | ||||
\(456\) | −53.2098 | + | 17.2889i | −2.49178 | + | 0.809628i | ||||
\(457\) | 6.97578 | − | 0.365585i | 0.326313 | − | 0.0171013i | 0.111524 | − | 0.993762i | \(-0.464427\pi\) |
0.214789 | + | 0.976660i | \(0.431094\pi\) | |||||||
\(458\) | 5.02647 | + | 23.6477i | 0.234871 | + | 1.10498i | ||||
\(459\) | 28.5095 | + | 16.4600i | 1.33071 | + | 0.768285i | ||||
\(460\) | −7.34170 | − | 7.34170i | −0.342308 | − | 0.342308i | ||||
\(461\) | −0.477488 | + | 9.11101i | −0.0222388 | + | 0.424342i | 0.964711 | + | 0.263312i | \(0.0848149\pi\) |
−0.986950 | + | 0.161030i | \(0.948518\pi\) | |||||||
\(462\) | −5.24615 | − | 2.01381i | −0.244073 | − | 0.0936908i | ||||
\(463\) | −4.34086 | + | 27.4071i | −0.201737 | + | 1.27372i | 0.654076 | + | 0.756429i | \(0.273058\pi\) |
−0.855812 | + | 0.517286i | \(0.826942\pi\) | |||||||
\(464\) | −17.9553 | − | 10.3665i | −0.833555 | − | 0.481253i | ||||
\(465\) | −5.11673 | − | 0.202253i | −0.237283 | − | 0.00937924i | ||||
\(466\) | −6.93523 | + | 25.8826i | −0.321269 | + | 1.19899i | ||||
\(467\) | 6.78901 | + | 9.34427i | 0.314158 | + | 0.432401i | 0.936672 | − | 0.350207i | \(-0.113889\pi\) |
−0.622514 | + | 0.782608i | \(0.713889\pi\) | |||||||
\(468\) | −21.8758 | + | 37.2278i | −1.01121 | + | 1.72086i | ||||
\(469\) | −2.09307 | + | 6.44180i | −0.0966488 | + | 0.297455i | ||||
\(470\) | −24.1260 | − | 6.46454i | −1.11285 | − | 0.298187i | ||||
\(471\) | −13.0826 | + | 7.55322i | −0.602813 | + | 0.348034i | ||||
\(472\) | −7.91060 | + | 7.12273i | −0.364115 | + | 0.327850i | ||||
\(473\) | 32.6584 | + | 16.6403i | 1.50163 | + | 0.765121i | ||||
\(474\) | −2.29508 | + | 1.49044i | −0.105417 | + | 0.0684583i | ||||
\(475\) | 15.6235 | − | 19.2934i | 0.716855 | − | 0.885242i | ||||
\(476\) | 9.05159 | + | 17.7647i | 0.414879 | + | 0.814246i | ||||
\(477\) | 7.19471 | − | 0.756195i | 0.329423 | − | 0.0346238i | ||||
\(478\) | −3.01620 | + | 28.6972i | −0.137958 | + | 1.31258i | ||||
\(479\) | 13.3252 | − | 0.698344i | 0.608844 | − | 0.0319082i | 0.254577 | − | 0.967052i | \(-0.418064\pi\) |
0.354267 | + | 0.935144i | \(0.384730\pi\) | |||||||
\(480\) | −17.7880 | − | 12.9237i | −0.811905 | − | 0.589884i | ||||
\(481\) | 23.1047 | − | 6.00141i | 1.05348 | − | 0.273641i | ||||
\(482\) | 43.5161 | − | 14.1392i | 1.98210 | − | 0.644025i | ||||
\(483\) | −0.558670 | − | 0.689900i | −0.0254204 | − | 0.0313915i | ||||
\(484\) | −38.0396 | − | 16.9363i | −1.72907 | − | 0.769833i | ||||
\(485\) | 0.792333 | − | 0.713420i | 0.0359780 | − | 0.0323947i | ||||
\(486\) | 43.8796 | + | 6.94985i | 1.99042 | + | 0.315252i | ||||
\(487\) | −18.0755 | − | 27.8338i | −0.819077 | − | 1.26127i | −0.962412 | − | 0.271594i | \(-0.912449\pi\) |
0.143334 | − | 0.989674i | \(-0.454218\pi\) | |||||||
\(488\) | −66.3698 | + | 43.1010i | −3.00442 | + | 1.95109i | ||||
\(489\) | −4.57540 | − | 8.97972i | −0.206907 | − | 0.406077i | ||||
\(490\) | −9.25156 | + | 16.0242i | −0.417943 | + | 0.723899i | ||||
\(491\) | 7.64838 | + | 13.2474i | 0.345166 | + | 0.597846i | 0.985384 | − | 0.170348i | \(-0.0544891\pi\) |
−0.640218 | + | 0.768194i | \(0.721156\pi\) | |||||||
\(492\) | −5.23840 | + | 8.06642i | −0.236165 | + | 0.363662i | ||||
\(493\) | 5.34742 | − | 7.36010i | 0.240836 | − | 0.331482i | ||||
\(494\) | 60.2689 | − | 12.3284i | 2.71162 | − | 0.554679i | ||||
\(495\) | − | 9.24918i | − | 0.415720i | ||||||
\(496\) | 64.6893 | − | 59.7697i | 2.90463 | − | 2.68374i | ||||
\(497\) | 0.115271 | + | 0.199655i | 0.00517060 | + | 0.00895574i | ||||
\(498\) | 14.4018 | − | 1.51369i | 0.645358 | − | 0.0678299i | ||||
\(499\) | 5.88551 | + | 37.1596i | 0.263472 | + | 1.66349i | 0.664395 | + | 0.747382i | \(0.268689\pi\) |
−0.400923 | + | 0.916112i | \(0.631311\pi\) | |||||||
\(500\) | 49.9668 | + | 2.61865i | 2.23458 | + | 0.117110i | ||||
\(501\) | 7.67828 | − | 2.05739i | 0.343040 | − | 0.0919173i | ||||
\(502\) | 1.09638 | − | 1.09638i | 0.0489338 | − | 0.0489338i | ||||
\(503\) | 0.190981 | + | 0.212106i | 0.00851541 | + | 0.00945733i | 0.747387 | − | 0.664388i | \(-0.231308\pi\) |
−0.738872 | + | 0.673846i | \(0.764641\pi\) | |||||||
\(504\) | 8.09412 | + | 7.28798i | 0.360541 | + | 0.324632i | ||||
\(505\) | 5.16371 | − | 0.270619i | 0.229782 | − | 0.0120424i | ||||
\(506\) | −12.9814 | − | 17.8674i | −0.577095 | − | 0.794303i | ||||
\(507\) | −7.18059 | + | 9.57110i | −0.318901 | + | 0.425068i | ||||
\(508\) | 21.7936 | + | 29.9963i | 0.966934 | + | 1.33087i | ||||
\(509\) | 14.3386 | − | 11.6112i | 0.635546 | − | 0.514655i | −0.256532 | − | 0.966536i | \(-0.582580\pi\) |
0.892079 | + | 0.451880i | \(0.149247\pi\) | |||||||
\(510\) | 11.7472 | − | 13.0466i | 0.520175 | − | 0.577713i | ||||
\(511\) | −3.11124 | + | 1.38521i | −0.137633 | + | 0.0612782i | ||||
\(512\) | 67.3570 | − | 10.6683i | 2.97679 | − | 0.471477i | ||||
\(513\) | −16.0257 | − | 24.6775i | −0.707553 | − | 1.08954i | ||||
\(514\) | −22.3104 | − | 8.56416i | −0.984070 | − | 0.377749i | ||||
\(515\) | −7.21289 | − | 1.14241i | −0.317838 | − | 0.0503406i | ||||
\(516\) | 29.2063 | + | 32.4369i | 1.28574 | + | 1.42796i | ||||
\(517\) | −35.7004 | − | 15.8949i | −1.57010 | − | 0.699055i | ||||
\(518\) | −0.492042 | − | 9.38873i | −0.0216191 | − | 0.412517i | ||||
\(519\) | −1.74139 | − | 5.35945i | −0.0764385 | − | 0.235254i | ||||
\(520\) | 26.0508 | + | 23.8204i | 1.14240 | + | 1.04460i | ||||
\(521\) | 44.6823 | 1.95757 | 0.978784 | − | 0.204895i | \(-0.0656852\pi\) | ||||
0.978784 | + | 0.204895i | \(0.0656852\pi\) | |||||||
\(522\) | 2.00837 | − | 7.49535i | 0.0879041 | − | 0.328063i | ||||
\(523\) | 0.389206 | + | 1.83107i | 0.0170188 | + | 0.0800671i | 0.985837 | − | 0.167704i | \(-0.0536353\pi\) |
−0.968819 | + | 0.247771i | \(0.920302\pi\) | |||||||
\(524\) | −28.1839 | − | 63.3021i | −1.23122 | − | 2.76536i | ||||
\(525\) | 1.87835 | + | 0.297502i | 0.0819781 | + | 0.0129841i | ||||
\(526\) | −66.2732 | + | 17.7579i | −2.88965 | + | 0.774280i | ||||
\(527\) | 23.1160 | + | 30.9714i | 1.00695 | + | 1.34913i | ||||
\(528\) | −44.2636 | − | 44.2636i | −1.92633 | − | 1.92633i | ||||
\(529\) | 2.03946 | + | 19.4041i | 0.0886720 | + | 0.843658i | ||||
\(530\) | 0.965230 | − | 9.18355i | 0.0419269 | − | 0.398908i | ||||
\(531\) | −1.96163 | − | 1.27390i | −0.0851277 | − | 0.0552826i | ||||
\(532\) | − | 17.8208i | − | 0.772631i | ||||||
\(533\) | 4.30274 | − | 5.23093i | 0.186373 | − | 0.226577i | ||||
\(534\) | 8.66868 | − | 26.6794i | 0.375130 | − | 1.15453i | ||||
\(535\) | 0.554043 | + | 10.5718i | 0.0239534 | + | 0.457058i | ||||
\(536\) | −85.9963 | + | 95.5086i | −3.71448 | + | 4.12534i | ||||
\(537\) | 6.98679 | − | 0.734341i | 0.301502 | − | 0.0316891i | ||||
\(538\) | 36.5549 | − | 18.6256i | 1.57599 | − | 0.803008i | ||||
\(539\) | −18.2188 | + | 22.4983i | −0.784738 | + | 0.969070i | ||||
\(540\) | 9.44752 | − | 24.6116i | 0.406556 | − | 1.05912i | ||||
\(541\) | 3.69399 | − | 7.24987i | 0.158817 | − | 0.311696i | −0.797862 | − | 0.602840i | \(-0.794036\pi\) |
0.956679 | + | 0.291144i | \(0.0940358\pi\) | |||||||
\(542\) | −5.00787 | − | 11.2479i | −0.215107 | − | 0.483137i | ||||
\(543\) | −4.07316 | − | 0.428107i | −0.174796 | − | 0.0183718i | ||||
\(544\) | 8.68461 | + | 165.712i | 0.372350 | + | 7.10485i | ||||
\(545\) | −10.8033 | + | 14.8695i | −0.462763 | + | 0.636939i | ||||
\(546\) | 3.12629 | + | 3.52610i | 0.133793 | + | 0.150903i | ||||
\(547\) | 12.3732 | − | 38.0807i | 0.529039 | − | 1.62822i | −0.227148 | − | 0.973860i | \(-0.572940\pi\) |
0.756187 | − | 0.654355i | \(-0.227060\pi\) | |||||||
\(548\) | −3.64936 | − | 9.50690i | −0.155893 | − | 0.406115i | ||||
\(549\) | −12.9224 | − | 11.6354i | −0.551515 | − | 0.496586i | ||||
\(550\) | 46.2788 | + | 9.83687i | 1.97334 | + | 0.419445i | ||||
\(551\) | −7.24531 | + | 3.69167i | −0.308660 | + | 0.157270i | ||||
\(552\) | −4.35961 | − | 16.2703i | −0.185558 | − | 0.692510i | ||||
\(553\) | −0.144491 | − | 0.539248i | −0.00614439 | − | 0.0229312i | ||||
\(554\) | −19.5963 | − | 38.4598i | −0.832565 | − | 1.63400i | ||||
\(555\) | −5.56272 | + | 2.47668i | −0.236124 | + | 0.105129i | ||||
\(556\) | 49.1587 | + | 21.8869i | 2.08480 | + | 0.928211i | ||||
\(557\) | 21.4838 | + | 5.75655i | 0.910296 | + | 0.243913i | 0.683433 | − | 0.730014i | \(-0.260486\pi\) |
0.226863 | + | 0.973927i | \(0.427153\pi\) | |||||||
\(558\) | 27.8742 | + | 17.5965i | 1.18001 | + | 0.744920i | ||||
\(559\) | −17.8760 | − | 25.0051i | −0.756072 | − | 1.05760i | ||||
\(560\) | 6.60323 | − | 4.79753i | 0.279037 | − | 0.202732i | ||||
\(561\) | 21.3466 | − | 17.2861i | 0.901253 | − | 0.729820i | ||||
\(562\) | 83.6201 | − | 17.7740i | 3.52730 | − | 0.749751i | ||||
\(563\) | −38.7397 | − | 22.3664i | −1.63268 | − | 0.942631i | −0.983261 | − | 0.182203i | \(-0.941677\pi\) |
−0.649423 | − | 0.760427i | \(-0.724990\pi\) | |||||||
\(564\) | −32.9064 | − | 32.9064i | −1.38561 | − | 1.38561i | ||||
\(565\) | −6.56727 | − | 0.344176i | −0.276287 | − | 0.0144796i | ||||
\(566\) | −24.4252 | − | 37.6115i | −1.02667 | − | 1.58093i | ||||
\(567\) | −0.490738 | + | 0.963128i | −0.0206091 | + | 0.0404476i | ||||
\(568\) | 0.457248 | + | 4.35043i | 0.0191857 | + | 0.182540i | ||||
\(569\) | −24.0138 | + | 5.10430i | −1.00671 | + | 0.213983i | −0.681626 | − | 0.731701i | \(-0.738727\pi\) |
−0.325086 | + | 0.945684i | \(0.605393\pi\) | |||||||
\(570\) | −14.6496 | + | 5.62345i | −0.613603 | + | 0.235540i | ||||
\(571\) | −2.56847 | − | 1.86610i | −0.107487 | − | 0.0780940i | 0.532743 | − | 0.846277i | \(-0.321161\pi\) |
−0.640230 | + | 0.768183i | \(0.721161\pi\) | |||||||
\(572\) | 53.7531 | + | 67.4301i | 2.24753 | + | 2.81939i | ||||
\(573\) | 2.32048 | − | 3.19387i | 0.0969395 | − | 0.133426i | ||||
\(574\) | −1.67877 | − | 2.07310i | −0.0700703 | − | 0.0865296i | ||||
\(575\) | 5.55451 | + | 5.00131i | 0.231639 | + | 0.208569i | ||||
\(576\) | 29.8655 | + | 67.0791i | 1.24440 | + | 2.79496i | ||||
\(577\) | −0.0554490 | + | 0.350091i | −0.00230837 | + | 0.0145745i | −0.988816 | − | 0.149143i | \(-0.952349\pi\) |
0.986507 | + | 0.163717i | \(0.0523485\pi\) | |||||||
\(578\) | −85.6285 | − | 4.48760i | −3.56168 | − | 0.186659i | ||||
\(579\) | −7.05862 | − | 5.71596i | −0.293346 | − | 0.237547i | ||||
\(580\) | −6.49137 | − | 3.30752i | −0.269539 | − | 0.137337i | ||||
\(581\) | −0.614212 | + | 2.88964i | −0.0254818 | + | 0.119883i | ||||
\(582\) | 2.64170 | − | 0.561511i | 0.109502 | − | 0.0232754i | ||||
\(583\) | 3.73934 | − | 13.9554i | 0.154868 | − | 0.577974i | ||||
\(584\) | −64.6207 | −2.67402 | ||||||||
\(585\) | −3.57421 | + | 6.88380i | −0.147776 | + | 0.284610i | ||||
\(586\) | −6.65505 | − | 4.83518i | −0.274918 | − | 0.199739i | ||||
\(587\) | −9.33849 | − | 24.3276i | −0.385441 | − | 1.00411i | −0.979813 | − | 0.199917i | \(-0.935933\pi\) |
0.594372 | − | 0.804190i | \(-0.297401\pi\) | |||||||
\(588\) | −29.8559 | + | 17.2373i | −1.23124 | + | 0.710855i | ||||
\(589\) | −5.84181 | − | 34.0457i | −0.240708 | − | 1.40283i | ||||
\(590\) | −2.11110 | + | 2.11110i | −0.0869127 | + | 0.0869127i | ||||
\(591\) | 19.1875 | + | 15.5378i | 0.789270 | + | 0.639138i | ||||
\(592\) | 37.5323 | − | 97.7749i | 1.54257 | − | 4.01853i | ||||
\(593\) | 35.6732 | − | 18.1764i | 1.46492 | − | 0.746415i | 0.473958 | − | 0.880548i | \(-0.342825\pi\) |
0.990963 | + | 0.134133i | \(0.0428250\pi\) | |||||||
\(594\) | 28.0382 | − | 48.5637i | 1.15042 | − | 1.99259i | ||||
\(595\) | 1.79074 | + | 3.10165i | 0.0734131 | + | 0.127155i | ||||
\(596\) | −65.0258 | − | 42.2283i | −2.66356 | − | 1.72974i | ||||
\(597\) | 14.1118 | − | 4.58520i | 0.577558 | − | 0.187660i | ||||
\(598\) | 2.75697 | + | 18.3145i | 0.112741 | + | 0.748935i | ||||
\(599\) | −24.3734 | + | 17.7083i | −0.995869 | + | 0.723541i | −0.961199 | − | 0.275858i | \(-0.911038\pi\) |
−0.0346705 | + | 0.999399i | \(0.511038\pi\) | |||||||
\(600\) | 30.2634 | + | 19.6533i | 1.23550 | + | 0.802341i | ||||
\(601\) | −13.6618 | + | 30.6850i | −0.557277 | + | 1.25167i | 0.386868 | + | 0.922135i | \(0.373557\pi\) |
−0.944145 | + | 0.329530i | \(0.893110\pi\) | |||||||
\(602\) | −11.0592 | + | 4.92389i | −0.450741 | + | 0.200683i | ||||
\(603\) | −25.1617 | − | 12.8206i | −1.02467 | − | 0.522093i | ||||
\(604\) | −54.8185 | − | 21.0429i | −2.23053 | − | 0.856222i | ||||
\(605\) | −6.98299 | − | 2.68052i | −0.283899 | − | 0.108979i | ||||
\(606\) | 11.6703 | + | 5.94633i | 0.474075 | + | 0.241553i | ||||
\(607\) | 8.58960 | − | 3.82434i | 0.348641 | − | 0.155225i | −0.224942 | − | 0.974372i | \(-0.572219\pi\) |
0.573584 | + | 0.819147i | \(0.305553\pi\) | |||||||
\(608\) | 60.3272 | − | 135.497i | 2.44659 | − | 5.49514i | ||||
\(609\) | −0.522419 | − | 0.339263i | −0.0211695 | − | 0.0137476i | ||||
\(610\) | −17.9566 | + | 13.0463i | −0.727042 | + | 0.528227i | ||||
\(611\) | 20.4281 | + | 25.6258i | 0.826432 | + | 1.03671i | ||||
\(612\) | −79.0576 | + | 25.6874i | −3.19572 | + | 1.03835i | ||||
\(613\) | −27.5754 | − | 17.9077i | −1.11376 | − | 0.723284i | −0.149637 | − | 0.988741i | \(-0.547810\pi\) |
−0.964123 | + | 0.265457i | \(0.914477\pi\) | |||||||
\(614\) | 0.946502 | + | 1.63939i | 0.0381977 | + | 0.0661604i | ||||
\(615\) | −0.863860 | + | 1.49625i | −0.0348342 | + | 0.0603346i | ||||
\(616\) | 19.3810 | − | 9.87512i | 0.780883 | − | 0.397880i | ||||
\(617\) | −13.3702 | + | 34.8305i | −0.538263 | + | 1.40222i | 0.347322 | + | 0.937746i | \(0.387091\pi\) |
−0.885585 | + | 0.464478i | \(0.846242\pi\) | |||||||
\(618\) | −14.3760 | − | 11.6414i | −0.578286 | − | 0.468286i | ||||
\(619\) | 4.39538 | − | 4.39538i | 0.176665 | − | 0.176665i | −0.613235 | − | 0.789900i | \(-0.710132\pi\) |
0.789900 | + | 0.613235i | \(0.210132\pi\) | |||||||
\(620\) | 21.6010 | − | 22.1635i | 0.867517 | − | 0.890109i | ||||
\(621\) | 7.67196 | − | 4.42941i | 0.307865 | − | 0.177746i | ||||
\(622\) | −9.50096 | − | 24.7509i | −0.380954 | − | 0.992419i | ||||
\(623\) | 4.62985 | + | 3.36378i | 0.185491 | + | 0.134767i | ||||
\(624\) | 15.8386 | + | 50.0487i | 0.634053 | + | 2.00355i | ||||
\(625\) | −11.0196 | −0.440783 | ||||||||
\(626\) | 2.06392 | − | 7.70265i | 0.0824908 | − | 0.307860i | ||||
\(627\) | −24.0149 | + | 5.10451i | −0.959061 | + | 0.203855i | ||||
\(628\) | 18.9825 | − | 89.3054i | 0.757482 | − | 3.56367i | ||||
\(629\) | 40.9468 | + | 20.8634i | 1.63266 | + | 0.831880i | ||||
\(630\) | 2.37403 | + | 1.92246i | 0.0945838 | + | 0.0765925i | ||||
\(631\) | 17.0338 | + | 0.892703i | 0.678104 | + | 0.0355379i | 0.388279 | − | 0.921542i | \(-0.373070\pi\) |
0.289825 | + | 0.957080i | \(0.406403\pi\) | |||||||
\(632\) | 1.65709 | − | 10.4624i | 0.0659155 | − | 0.416174i | ||||
\(633\) | 5.89105 | + | 13.2315i | 0.234148 | + | 0.525906i | ||||
\(634\) | −19.0885 | − | 17.1873i | −0.758100 | − | 0.682596i | ||||
\(635\) | 4.19146 | + | 5.17603i | 0.166333 | + | 0.205404i | ||||
\(636\) | 10.1128 | − | 13.9190i | 0.400997 | − | 0.551925i | ||||
\(637\) | 22.2537 | − | 9.70422i | 0.881722 | − | 0.384495i | ||||
\(638\) | −12.5373 | − | 9.10891i | −0.496358 | − | 0.360625i | ||||
\(639\) | −0.897346 | + | 0.344459i | −0.0354985 | + | 0.0136266i | ||||
\(640\) | 44.9435 | − | 9.55304i | 1.77655 | − | 0.377617i | ||||
\(641\) | 3.27640 | + | 31.1728i | 0.129410 | + | 1.23125i | 0.845780 | + | 0.533532i | \(0.179136\pi\) |
−0.716370 | + | 0.697721i | \(0.754198\pi\) | |||||||
\(642\) | −12.1740 | + | 23.8929i | −0.480471 | + | 0.942978i | ||||
\(643\) | −19.0302 | − | 29.3040i | −0.750478 | − | 1.15564i | −0.983100 | − | 0.183068i | \(-0.941397\pi\) |
0.232622 | − | 0.972567i | \(-0.425270\pi\) | |||||||
\(644\) | 5.35796 | + | 0.280799i | 0.211133 | + | 0.0110650i | ||||
\(645\) | 5.54415 | + | 5.54415i | 0.218301 | + | 0.218301i | ||||
\(646\) | 102.562 | + | 59.2141i | 4.03524 | + | 2.32975i | ||||
\(647\) | 30.8049 | − | 6.54778i | 1.21106 | − | 0.257420i | 0.442250 | − | 0.896892i | \(-0.354180\pi\) |
0.768814 | + | 0.639472i | \(0.220847\pi\) | |||||||
\(648\) | −15.9395 | + | 12.9075i | −0.626162 | + | 0.507056i | ||||
\(649\) | −3.77906 | + | 2.74565i | −0.148341 | + | 0.107776i | ||||
\(650\) | −30.6422 | − | 25.2050i | −1.20189 | − | 0.988621i | ||||
\(651\) | 2.03488 | − | 1.69157i | 0.0797530 | − | 0.0662979i | ||||
\(652\) | 58.8352 | + | 15.7648i | 2.30416 | + | 0.617399i | ||||
\(653\) | −5.07066 | − | 2.25760i | −0.198430 | − | 0.0883468i | 0.305116 | − | 0.952315i | \(-0.401305\pi\) |
−0.503546 | + | 0.863968i | \(0.667972\pi\) | |||||||
\(654\) | −42.5317 | + | 18.9363i | −1.66312 | + | 0.740470i | ||||
\(655\) | −5.65091 | − | 11.0905i | −0.220799 | − | 0.433343i | ||||
\(656\) | −7.69109 | − | 28.7035i | −0.300287 | − | 1.12069i | ||||
\(657\) | −3.67501 | − | 13.7153i | −0.143376 | − | 0.535086i | ||||
\(658\) | 11.5002 | − | 5.85965i | 0.448325 | − | 0.228433i | ||||
\(659\) | 31.8958 | + | 6.77967i | 1.24249 | + | 0.264099i | 0.781836 | − | 0.623484i | \(-0.214283\pi\) |
0.460649 | + | 0.887582i | \(0.347617\pi\) | |||||||
\(660\) | −16.3466 | − | 14.7186i | −0.636292 | − | 0.572920i | ||||
\(661\) | −12.6623 | − | 32.9865i | −0.492507 | − | 1.28303i | −0.924511 | − | 0.381154i | \(-0.875527\pi\) |
0.432004 | − | 0.901872i | \(-0.357807\pi\) | |||||||
\(662\) | −18.0285 | + | 55.4861i | −0.700698 | + | 2.15653i | ||||
\(663\) | −22.5674 | + | 4.61630i | −0.876445 | + | 0.179282i | ||||
\(664\) | −32.9478 | + | 45.3488i | −1.27862 | + | 1.75987i | ||||
\(665\) | −0.167538 | − | 3.19681i | −0.00649683 | − | 0.123967i | ||||
\(666\) | 38.9831 | + | 4.09728i | 1.51056 | + | 0.158767i | ||||
\(667\) | −0.995762 | − | 2.23652i | −0.0385561 | − | 0.0865984i | ||||
\(668\) | −21.8111 | + | 42.8067i | −0.843898 | + | 1.65624i | ||||
\(669\) | 7.43891 | − | 19.3790i | 0.287605 | − | 0.749236i | ||||
\(670\) | −22.6845 | + | 28.0130i | −0.876378 | + | 1.08224i | ||||
\(671\) | −30.9421 | + | 15.7658i | −1.19451 | + | 0.608632i | ||||
\(672\) | 11.2997 | − | 1.18764i | 0.435894 | − | 0.0458143i | ||||
\(673\) | −29.8745 | + | 33.1789i | −1.15158 | + | 1.27895i | −0.197194 | + | 0.980364i | \(0.563183\pi\) |
−0.954382 | + | 0.298590i | \(0.903484\pi\) | |||||||
\(674\) | −2.72375 | − | 51.9723i | −0.104915 | − | 2.00190i | ||||
\(675\) | −5.86451 | + | 18.0491i | −0.225725 | + | 0.694711i | ||||
\(676\) | −13.9489 | − | 70.9576i | −0.536497 | − | 2.72914i | ||||
\(677\) | − | 25.4939i | − | 0.979812i | −0.871775 | − | 0.489906i | \(-0.837031\pi\) | ||
0.871775 | − | 0.489906i | \(-0.162969\pi\) | |||||||
\(678\) | −13.9706 | − | 9.07264i | −0.536539 | − | 0.348433i | ||||
\(679\) | −0.0575907 | + | 0.547939i | −0.00221013 | + | 0.0210280i | ||||
\(680\) | 7.10338 | + | 67.5841i | 0.272402 | + | 2.59173i | ||||
\(681\) | 13.4641 | + | 13.4641i | 0.515947 | + | 0.515947i | ||||
\(682\) | 52.7573 | − | 39.3762i | 2.02018 | − | 1.50779i | ||||
\(683\) | 40.2546 | − | 10.7862i | 1.54030 | − | 0.412722i | 0.613937 | − | 0.789355i | \(-0.289585\pi\) |
0.926363 | + | 0.376632i | \(0.122918\pi\) | |||||||
\(684\) | 73.3850 | + | 11.6230i | 2.80595 | + | 0.444418i | ||||
\(685\) | −0.744020 | − | 1.67110i | −0.0284275 | − | 0.0638493i | ||||
\(686\) | −4.05464 | − | 19.0756i | −0.154807 | − | 0.728309i | ||||
\(687\) | −2.09420 | + | 7.81567i | −0.0798988 | + | 0.298186i | ||||
\(688\) | −134.855 | −5.14132 | ||||||||
\(689\) | −8.17591 | + | 8.94144i | −0.311477 | + | 0.340642i | ||||
\(690\) | −1.45990 | − | 4.49310i | −0.0555774 | − | 0.171049i | ||||
\(691\) | −1.66802 | − | 31.8277i | −0.0634545 | − | 1.21078i | −0.825932 | − | 0.563769i | \(-0.809351\pi\) |
0.762478 | − | 0.647014i | \(-0.223983\pi\) | |||||||
\(692\) | 31.1139 | + | 13.8528i | 1.18277 | + | 0.526605i | ||||
\(693\) | 3.19814 | + | 3.55189i | 0.121487 | + | 0.134925i | ||||
\(694\) | 23.3015 | + | 3.69060i | 0.884514 | + | 0.140093i | ||||
\(695\) | 9.02415 | + | 3.46405i | 0.342305 | + | 0.131399i | ||||
\(696\) | −6.43731 | − | 9.91259i | −0.244006 | − | 0.375736i | ||||
\(697\) | 12.8788 | − | 2.03980i | 0.487819 | − | 0.0772629i | ||||
\(698\) | −80.2369 | + | 35.7238i | −3.03701 | + | 1.35216i | ||||
\(699\) | −6.00087 | + | 6.66464i | −0.226974 | + | 0.252080i | ||||
\(700\) | −8.93247 | + | 7.23337i | −0.337616 | + | 0.273396i | ||||
\(701\) | −21.8908 | − | 30.1301i | −0.826804 | − | 1.13800i | −0.988510 | − | 0.151158i | \(-0.951700\pi\) |
0.161706 | − | 0.986839i | \(-0.448300\pi\) | |||||||
\(702\) | −39.6345 | + | 25.3090i | −1.49591 | + | 0.955228i | ||||
\(703\) | −24.1439 | − | 33.2313i | −0.910605 | − | 1.25334i | ||||
\(704\) | 146.440 | − | 7.67461i | 5.51918 | − | 0.289248i | ||||
\(705\) | −6.21231 | − | 5.59359i | −0.233969 | − | 0.210667i | ||||
\(706\) | 11.2862 | + | 12.5346i | 0.424762 | + | 0.471746i | ||||
\(707\) | −1.88941 | + | 1.88941i | −0.0710585 | + | 0.0710585i | ||||
\(708\) | −5.37307 | + | 1.43971i | −0.201932 | + | 0.0541076i | ||||
\(709\) | −9.87246 | − | 0.517393i | −0.370768 | − | 0.0194311i | −0.133958 | − | 0.990987i | \(-0.542769\pi\) |
−0.236810 | + | 0.971556i | \(0.576102\pi\) | |||||||
\(710\) | 0.191928 | + | 1.21178i | 0.00720292 | + | 0.0454775i | ||||
\(711\) | 2.31483 | − | 0.243298i | 0.0868128 | − | 0.00912439i | ||||
\(712\) | 54.2934 | + | 94.0390i | 2.03473 | + | 3.52426i | ||||
\(713\) | 10.3281 | − | 1.21993i | 0.386791 | − | 0.0456867i | ||||
\(714\) | 9.07208i | 0.339514i | ||||||||
\(715\) | 10.2765 | + | 11.5907i | 0.384318 | + | 0.433466i | ||||
\(716\) | −24.9570 | + | 34.3504i | −0.932688 | + | 1.28374i | ||||
\(717\) | −5.25983 | + | 8.09943i | −0.196432 | + | 0.302479i | ||||
\(718\) | −7.70842 | − | 13.3514i | −0.287676 | − | 0.498269i | ||||
\(719\) | −1.52499 | + | 2.64137i | −0.0568726 | + | 0.0985063i | −0.893060 | − | 0.449938i | \(-0.851446\pi\) |
0.836187 | + | 0.548444i | \(0.184780\pi\) | |||||||
\(720\) | 15.4492 | + | 30.3207i | 0.575756 | + | 1.12998i | ||||
\(721\) | 3.16493 | − | 2.05533i | 0.117868 | − | 0.0765444i | ||||
\(722\) | −29.1941 | − | 44.9550i | −1.08649 | − | 1.67305i | ||||
\(723\) | 15.1252 | + | 2.39560i | 0.562513 | + | 0.0890933i | ||||
\(724\) | 18.3951 | − | 16.5630i | 0.683649 | − | 0.615560i | ||||
\(725\) | 4.79123 | + | 2.13319i | 0.177942 | + | 0.0792247i | ||||
\(726\) | −11.9236 | − | 14.7244i | −0.442525 | − | 0.546473i | ||||
\(727\) | −15.6112 | + | 5.07238i | −0.578986 | + | 0.188124i | −0.583846 | − | 0.811864i | \(-0.698453\pi\) |
0.00486023 | + | 0.999988i | \(0.498453\pi\) | |||||||
\(728\) | −18.2406 | − | 0.139852i | −0.676043 | − | 0.00518324i | ||||
\(729\) | 6.94853 | + | 5.04841i | 0.257353 | + | 0.186978i | ||||
\(730\) | −18.0994 | + | 0.948549i | −0.669889 | + | 0.0351074i | ||||
\(731\) | 6.18538 | − | 58.8500i | 0.228775 | − | 2.17664i | ||||
\(732\) | −41.1278 | + | 4.32271i | −1.52013 | + | 0.159772i | ||||
\(733\) | −7.24047 | − | 14.2102i | −0.267433 | − | 0.524867i | 0.717765 | − | 0.696285i | \(-0.245165\pi\) |
−0.985198 | + | 0.171418i | \(0.945165\pi\) | |||||||
\(734\) | −10.5218 | + | 12.9933i | −0.388365 | + | 0.479591i | ||||
\(735\) | −5.19367 | + | 3.37281i | −0.191572 | + | 0.124408i | ||||
\(736\) | 39.7876 | + | 20.2728i | 1.46659 | + | 0.747265i | ||||
\(737\) | −41.9115 | + | 37.7372i | −1.54383 | + | 1.39007i | ||||
\(738\) | 9.63182 | − | 5.56093i | 0.354552 | − | 0.204701i | ||||
\(739\) | 12.7411 | + | 3.41398i | 0.468691 | + | 0.125585i | 0.485432 | − | 0.874275i | \(-0.338662\pi\) |
−0.0167411 | + | 0.999860i | \(0.505329\pi\) | |||||||
\(740\) | 11.3724 | − | 35.0006i | 0.418057 | − | 1.28665i | ||||
\(741\) | 19.8459 | + | 5.48111i | 0.729057 | + | 0.201353i | ||||
\(742\) | 2.80478 | + | 3.86044i | 0.102967 | + | 0.141721i | ||||
\(743\) | 7.21581 | − | 26.9298i | 0.264722 | − | 0.987957i | −0.697698 | − | 0.716392i | \(-0.745792\pi\) |
0.962420 | − | 0.271565i | \(-0.0875412\pi\) | |||||||
\(744\) | 48.3274 | − | 13.6173i | 1.77177 | − | 0.499236i | ||||
\(745\) | −12.0617 | − | 6.96383i | −0.441907 | − | 0.255135i | ||||
\(746\) | −14.2771 | + | 90.1422i | −0.522722 | + | 3.30034i | ||||
\(747\) | −11.4987 | − | 4.41396i | −0.420717 | − | 0.161498i | ||||
\(748\) | −8.68834 | + | 165.783i | −0.317677 | + | 6.06164i | ||||
\(749\) | −3.86822 | − | 3.86822i | −0.141342 | − | 0.141342i | ||||
\(750\) | 19.7168 | + | 11.3835i | 0.719956 | + | 0.415667i | ||||
\(751\) | −6.26644 | − | 29.4813i | −0.228666 | − | 1.07579i | −0.931305 | − | 0.364241i | \(-0.881328\pi\) |
0.702639 | − | 0.711547i | \(-0.252005\pi\) | |||||||
\(752\) | 143.583 | − | 7.52486i | 5.23593 | − | 0.274403i | ||||
\(753\) | 0.493537 | − | 0.160360i | 0.0179855 | − | 0.00584384i | ||||
\(754\) | 5.81104 | + | 11.6243i | 0.211626 | + | 0.423331i | ||||
\(755\) | −10.0315 | − | 3.25943i | −0.365084 | − | 0.118623i | ||||
\(756\) | 4.88203 | + | 12.7181i | 0.177558 | + | 0.462554i | ||||
\(757\) | 19.5034 | + | 2.04989i | 0.708864 | + | 0.0745046i | 0.452097 | − | 0.891969i | \(-0.350676\pi\) |
0.256767 | + | 0.966473i | \(0.417343\pi\) | |||||||
\(758\) | −5.40712 | + | 25.4385i | −0.196395 | + | 0.923968i | ||||
\(759\) | −1.15631 | − | 7.30066i | −0.0419714 | − | 0.264997i | ||||
\(760\) | 21.7675 | − | 56.7064i | 0.789592 | − | 2.05696i | ||||
\(761\) | −12.4354 | + | 8.07564i | −0.450783 | + | 0.292742i | −0.749993 | − | 0.661445i | \(-0.769943\pi\) |
0.299211 | + | 0.954187i | \(0.403277\pi\) | |||||||
\(762\) | 2.63919 | + | 16.6632i | 0.0956079 | + | 0.603644i | ||||
\(763\) | −0.992787 | − | 9.44573i | −0.0359413 | − | 0.341959i | ||||
\(764\) | 4.96077 | + | 23.3386i | 0.179475 | + | 0.844361i | ||||
\(765\) | −13.9403 | + | 5.35119i | −0.504014 | + | 0.193473i | ||||
\(766\) | 19.0921 | + | 58.7594i | 0.689825 | + | 2.12306i | ||||
\(767\) | 3.87362 | − | 0.583114i | 0.139868 | − | 0.0210550i | ||||
\(768\) | 50.9802 | + | 16.5645i | 1.83959 | + | 0.597719i | ||||
\(769\) | −24.1586 | − | 6.47327i | −0.871180 | − | 0.233432i | −0.204582 | − | 0.978849i | \(-0.565584\pi\) |
−0.666598 | + | 0.745417i | \(0.732250\pi\) | |||||||
\(770\) | 5.28341 | − | 3.05038i | 0.190401 | − | 0.109928i | ||||
\(771\) | −5.35186 | − | 5.94384i | −0.192743 | − | 0.214062i | ||||
\(772\) | 54.2186 | − | 8.58739i | 1.95137 | − | 0.309067i | ||||
\(773\) | 27.8559 | − | 34.3991i | 1.00191 | − | 1.23725i | 0.0305713 | − | 0.999533i | \(-0.490267\pi\) |
0.971334 | − | 0.237718i | \(-0.0763993\pi\) | |||||||
\(774\) | −13.0632 | − | 48.7526i | −0.469548 | − | 1.75238i | ||||
\(775\) | −14.6938 | + | 16.7471i | −0.527818 | + | 0.601573i | ||||
\(776\) | −5.22704 | + | 9.05350i | −0.187640 | + | 0.325002i | ||||
\(777\) | 1.27983 | − | 2.87456i | 0.0459138 | − | 0.103124i | ||||
\(778\) | 3.13476 | + | 3.87110i | 0.112387 | + | 0.138786i | ||||
\(779\) | −11.0844 | − | 3.60153i | −0.397139 | − | 0.129038i | ||||
\(780\) | 6.47838 | + | 17.2714i | 0.231963 | + | 0.618415i | ||||
\(781\) | 1.91959i | 0.0686882i | ||||||||
\(782\) | −19.4192 | + | 29.9029i | −0.694428 | + | 1.06933i | ||||
\(783\) | 4.15940 | − | 4.61948i | 0.148645 | − | 0.165087i | ||||
\(784\) | 22.1453 | − | 104.185i | 0.790902 | − | 3.72090i | ||||
\(785\) | 2.56560 | − | 16.1986i | 0.0915703 | − | 0.578152i | ||||
\(786\) | 1.65012 | − | 31.4862i | 0.0588580 | − | 1.12308i | ||||
\(787\) | −21.8575 | − | 17.6998i | −0.779135 | − | 0.630931i | 0.154974 | − | 0.987918i | \(-0.450471\pi\) |
−0.934109 | + | 0.356988i | \(0.883804\pi\) | |||||||
\(788\) | −147.383 | + | 23.3432i | −5.25031 | + | 0.831567i | ||||
\(789\) | −22.4614 | − | 4.77432i | −0.799648 | − | 0.169970i | ||||
\(790\) | 0.310553 | − | 2.95472i | 0.0110490 | − | 0.105124i | ||||
\(791\) | 2.64099 | − | 2.13863i | 0.0939026 | − | 0.0760409i | ||||
\(792\) | 28.0245 | + | 86.2504i | 0.995806 | + | 3.06478i | ||||
\(793\) | 29.1215 | + | 0.223275i | 1.03413 | + | 0.00792874i | ||||
\(794\) | 1.55519 | − | 1.12991i | 0.0551916 | − | 0.0400991i | ||||
\(795\) | 1.68323 | − | 2.59195i | 0.0596980 | − | 0.0919269i | ||||
\(796\) | −36.4755 | + | 81.9252i | −1.29284 | + | 2.90376i | ||||
\(797\) | 7.93083 | + | 1.68575i | 0.280925 | + | 0.0597124i | 0.346219 | − | 0.938154i | \(-0.387465\pi\) |
−0.0652946 | + | 0.997866i | \(0.520799\pi\) | |||||||
\(798\) | 3.68132 | − | 7.22500i | 0.130317 | − | 0.255762i | ||||
\(799\) | −3.30188 | + | 63.0037i | −0.116812 | + | 2.22891i | ||||
\(800\) | −92.4027 | + | 24.7592i | −3.26693 | + | 0.875371i | ||||
\(801\) | −16.8715 | + | 16.8715i | −0.596124 | + | 0.596124i | ||||
\(802\) | 34.6474 | − | 31.1966i | 1.22344 | − | 1.10159i | ||||
\(803\) | −28.2018 | − | 2.96412i | −0.995218 | − | 0.104602i | ||||
\(804\) | −62.6994 | + | 24.0680i | −2.21124 | + | 0.848815i | ||||
\(805\) | 0.963781 | 0.0339688 | ||||||||
\(806\) | −54.4816 | + | 8.91889i | −1.91903 | + | 0.314155i | ||||
\(807\) | 13.7310 | 0.483355 | ||||||||
\(808\) | −47.3326 | + | 18.1693i | −1.66516 | + | 0.639194i | ||||
\(809\) | −5.01221 | − | 0.526805i | −0.176220 | − | 0.0185215i | 0.0160074 | − | 0.999872i | \(-0.494904\pi\) |
−0.192227 | + | 0.981350i | \(0.561571\pi\) | |||||||
\(810\) | −4.27497 | + | 3.84920i | −0.150207 | + | 0.135247i | ||||
\(811\) | −34.6913 | + | 34.6913i | −1.21817 | + | 1.21817i | −0.249904 | + | 0.968271i | \(0.580399\pi\) |
−0.968271 | + | 0.249904i | \(0.919601\pi\) | |||||||
\(812\) | 3.63649 | − | 0.974395i | 0.127616 | − | 0.0341945i | ||||
\(813\) | 0.215664 | − | 4.11512i | 0.00756368 | − | 0.144324i | ||||
\(814\) | 35.5392 | − | 69.7496i | 1.24565 | − | 2.44472i | ||||
\(815\) | 10.7024 | + | 2.27487i | 0.374889 | + | 0.0796851i | ||||
\(816\) | −41.1049 | + | 92.3231i | −1.43896 | + | 3.23195i | ||||
\(817\) | −28.8065 | + | 44.3581i | −1.00781 | + | 1.55189i | ||||
\(818\) | 16.9364 | − | 12.3050i | 0.592167 | − | 0.430235i | ||||
\(819\) | −1.00767 | − | 3.87941i | −0.0352109 | − | 0.135558i | ||||
\(820\) | −3.22676 | − | 9.93095i | −0.112683 | − | 0.346804i | ||||
\(821\) | −36.3290 | + | 29.4187i | −1.26789 | + | 1.02672i | −0.269931 | + | 0.962880i | \(0.587001\pi\) |
−0.997960 | + | 0.0638387i | \(0.979666\pi\) | |||||||
\(822\) | 0.484340 | − | 4.60819i | 0.0168933 | − | 0.160729i | ||||
\(823\) | 36.9939 | + | 7.86330i | 1.28953 | + | 0.274097i | 0.801112 | − | 0.598514i | \(-0.204242\pi\) |
0.488415 | + | 0.872612i | \(0.337575\pi\) | |||||||
\(824\) | 70.7230 | − | 11.2014i | 2.46375 | − | 0.390220i | ||||
\(825\) | 12.3061 | + | 9.96524i | 0.428442 | + | 0.346945i | ||||
\(826\) | 0.0807435 | − | 1.54068i | 0.00280942 | − | 0.0536070i | ||||
\(827\) | −2.89992 | + | 18.3094i | −0.100840 | + | 0.636679i | 0.884560 | + | 0.466426i | \(0.154459\pi\) |
−0.985400 | + | 0.170253i | \(0.945541\pi\) | |||||||
\(828\) | −4.65086 | + | 21.8806i | −0.161628 | + | 0.760402i | ||||
\(829\) | 22.6258 | − | 25.1285i | 0.785828 | − | 0.872750i | −0.208618 | − | 0.977997i | \(-0.566897\pi\) |
0.994446 | + | 0.105247i | \(0.0335634\pi\) | |||||||
\(830\) | −8.56258 | + | 13.1852i | −0.297212 | + | 0.457666i | ||||
\(831\) | − | 14.4466i | − | 0.501146i | ||||||
\(832\) | −111.956 | − | 50.8779i | −3.88136 | − | 1.76387i | ||||
\(833\) | 44.4500 | + | 14.4427i | 1.54010 | + | 0.500409i | ||||
\(834\) | 15.4089 | + | 19.0284i | 0.533566 | + | 0.658899i | ||||
\(835\) | −3.51017 | + | 7.88397i | −0.121475 | + | 0.272836i | ||||
\(836\) | 74.1919 | − | 128.504i | 2.56598 | − | 4.44441i | ||||
\(837\) | 13.4960 | + | 22.6969i | 0.466489 | + | 0.784520i | ||||
\(838\) | −0.874410 | − | 3.26334i | −0.0302060 | − | 0.112730i | ||||
\(839\) | −28.2428 | + | 34.8769i | −0.975048 | + | 1.20408i | 0.00390370 | + | 0.999992i | \(0.498757\pi\) |
−0.978952 | + | 0.204092i | \(0.934576\pi\) | |||||||
\(840\) | 4.59570 | − | 0.727888i | 0.158567 | − | 0.0251145i | ||||
\(841\) | 18.2553 | + | 20.2746i | 0.629494 | + | 0.699124i | ||||
\(842\) | 61.6977 | − | 35.6212i | 2.12624 | − | 1.22759i | ||||
\(843\) | 27.6368 | + | 7.40526i | 0.951863 | + | 0.255051i | ||||
\(844\) | −83.2525 | − | 27.0504i | −2.86567 | − | 0.931112i | ||||
\(845\) | −3.16933 | − | 12.5977i | −0.109028 | − | 0.433373i | ||||
\(846\) | 16.6290 | + | 51.1788i | 0.571717 | + | 1.75956i | ||||
\(847\) | 3.60848 | − | 1.38517i | 0.123989 | − | 0.0475949i | ||||
\(848\) | 11.0518 | + | 51.9945i | 0.379520 | + | 1.78550i | ||||
\(849\) | −1.56892 | − | 14.9273i | −0.0538453 | − | 0.512304i | ||||
\(850\) | −11.9489 | − | 75.4424i | −0.409844 | − | 2.58765i | ||||
\(851\) | 10.3716 | − | 6.73542i | 0.355535 | − | 0.230887i | ||||
\(852\) | −0.819198 | + | 2.13408i | −0.0280653 | + | 0.0731125i | ||||
\(853\) | −4.02864 | − | 25.4358i | −0.137938 | − | 0.870906i | −0.955484 | − | 0.295043i | \(-0.904666\pi\) |
0.817546 | − | 0.575863i | \(-0.195334\pi\) | |||||||
\(854\) | 2.38467 | − | 11.2190i | 0.0816019 | − | 0.383907i | ||||
\(855\) | 13.2735 | + | 1.39510i | 0.453944 | + | 0.0477115i | ||||
\(856\) | −37.1984 | − | 96.9051i | −1.27142 | − | 3.31215i | ||||
\(857\) | −8.83188 | − | 2.86965i | −0.301691 | − | 0.0980254i | 0.154260 | − | 0.988030i | \(-0.450701\pi\) |
−0.455951 | + | 0.890005i | \(0.650701\pi\) | |||||||
\(858\) | 7.86349 | + | 38.4417i | 0.268455 | + | 1.31238i | ||||
\(859\) | 6.90225 | − | 2.24268i | 0.235502 | − | 0.0765192i | −0.188889 | − | 0.981999i | \(-0.560488\pi\) |
0.424390 | + | 0.905479i | \(0.360488\pi\) | |||||||
\(860\) | −47.3223 | + | 2.48006i | −1.61368 | + | 0.0845692i | ||||
\(861\) | −0.185625 | − | 0.873295i | −0.00632607 | − | 0.0297618i | ||||
\(862\) | −40.3002 | − | 23.2673i | −1.37263 | − | 0.792489i | ||||
\(863\) | 14.5114 | + | 14.5114i | 0.493975 | + | 0.493975i | 0.909556 | − | 0.415581i | \(-0.136422\pi\) |
−0.415581 | + | 0.909556i | \(0.636422\pi\) | |||||||
\(864\) | −5.93395 | + | 113.226i | −0.201877 | + | 3.85204i | ||||
\(865\) | 5.71163 | + | 2.19249i | 0.194201 | + | 0.0745469i | ||||
\(866\) | 11.2995 | − | 71.3423i | 0.383973 | − | 2.42431i | ||||
\(867\) | −24.8532 | − | 14.3490i | −0.844060 | − | 0.487318i | ||||
\(868\) | −0.631668 | + | 15.9804i | −0.0214402 | + | 0.542410i | ||||
\(869\) | 1.20309 | − | 4.49001i | 0.0408122 | − | 0.152313i | ||||
\(870\) | −1.94851 | − | 2.68189i | −0.0660607 | − | 0.0909247i | ||||
\(871\) | 45.7761 | − | 11.8903i | 1.55106 | − | 0.402886i | ||||
\(872\) | 55.6893 | − | 171.394i | 1.88588 | − | 5.80414i | ||||
\(873\) | −2.21881 | − | 0.594529i | −0.0750954 | − | 0.0201218i | ||||
\(874\) | 27.5996 | − | 15.9346i | 0.933570 | − | 0.538997i | ||||
\(875\) | −3.45158 | + | 3.10782i | −0.116685 | + | 0.105063i | ||||
\(876\) | −30.0881 | − | 15.3307i | −1.01658 | − | 0.517975i | ||||
\(877\) | −29.9989 | + | 19.4815i | −1.01299 | + | 0.657844i | −0.940594 | − | 0.339532i | \(-0.889731\pi\) |
−0.0723958 | + | 0.997376i | \(0.523064\pi\) | |||||||
\(878\) | −10.3398 | + | 12.7686i | −0.348952 | + | 0.430919i | ||||
\(879\) | −1.24991 | − | 2.45309i | −0.0421584 | − | 0.0827406i | ||||
\(880\) | 67.5883 | − | 7.10382i | 2.27840 | − | 0.239470i | ||||
\(881\) | 2.74934 | − | 26.1582i | 0.0926275 | − | 0.881292i | −0.845261 | − | 0.534354i | \(-0.820555\pi\) |
0.937888 | − | 0.346938i | \(-0.112779\pi\) | |||||||
\(882\) | 39.8100 | − | 2.08635i | 1.34047 | − | 0.0702512i | ||||
\(883\) | −12.6043 | − | 9.15759i | −0.424170 | − | 0.308178i | 0.355143 | − | 0.934812i | \(-0.384432\pi\) |
−0.779313 | + | 0.626634i | \(0.784432\pi\) | |||||||
\(884\) | 70.5310 | − | 120.029i | 2.37222 | − | 4.03700i | ||||
\(885\) | −0.950317 | + | 0.308777i | −0.0319446 | + | 0.0103794i | ||||
\(886\) | −20.7722 | − | 25.6516i | −0.697857 | − | 0.861782i | ||||
\(887\) | 36.7626 | + | 16.3678i | 1.23437 | + | 0.549576i | 0.917061 | − | 0.398747i | \(-0.130555\pi\) |
0.317307 | + | 0.948323i | \(0.397222\pi\) | |||||||
\(888\) | 44.3693 | − | 39.9503i | 1.48894 | − | 1.34064i | ||||
\(889\) | −3.39936 | − | 0.538406i | −0.114011 | − | 0.0180575i | ||||
\(890\) | 16.5872 | + | 25.5421i | 0.556006 | + | 0.856174i | ||||
\(891\) | −7.54837 | + | 4.90197i | −0.252880 | + | 0.164222i | ||||
\(892\) | 56.9558 | + | 111.782i | 1.90702 | + | 3.74274i | ||||
\(893\) | 28.1956 | − | 48.8362i | 0.943530 | − | 1.63424i | ||||
\(894\) | −17.6398 | − | 30.5530i | −0.589962 | − | 1.02184i | ||||
\(895\) | −4.15400 | + | 6.39660i | −0.138853 | + | 0.213815i | ||||
\(896\) | −13.9561 | + | 19.2090i | −0.466241 | + | 0.641726i | ||||
\(897\) | −1.96064 | + | 5.88043i | −0.0654638 | + | 0.196342i | ||||
\(898\) | 90.0107i | 3.00370i | ||||||||
\(899\) | 6.62790 | − | 3.05360i | 0.221053 | − | 0.101843i | ||||
\(900\) | −23.9606 | − | 41.5010i | −0.798687 | − | 1.38337i | ||||
\(901\) | −23.1969 | + | 2.43810i | −0.772802 | + | 0.0812248i | ||||
\(902\) | −3.47464 | − | 21.9380i | −0.115693 | − | 0.730455i | ||||
\(903\) | −4.04611 | − | 0.212048i | −0.134646 | − | 0.00705650i | ||||
\(904\) | 62.2839 | − | 16.6889i | 2.07153 | − | 0.555065i | ||||
\(905\) | 3.14411 | − | 3.14411i | 0.104514 | − | 0.104514i | ||||
\(906\) | −17.8778 | − | 19.8554i | −0.593951 | − | 0.659650i | ||||
\(907\) | 25.2617 | + | 22.7457i | 0.838800 | + | 0.755259i | 0.971787 | − | 0.235858i | \(-0.0757902\pi\) |
−0.132987 | + | 0.991118i | \(0.542457\pi\) | |||||||
\(908\) | −114.924 | + | 6.02289i | −3.81387 | + | 0.199877i | ||||
\(909\) | −6.54815 | − | 9.01275i | −0.217188 | − | 0.298934i | ||||
\(910\) | −5.11101 | + | 0.228579i | −0.169428 | + | 0.00757731i | ||||
\(911\) | −17.8180 | − | 24.5244i | −0.590337 | − | 0.812530i | 0.404444 | − | 0.914563i | \(-0.367465\pi\) |
−0.994781 | + | 0.102033i | \(0.967465\pi\) | |||||||
\(912\) | 70.1993 | − | 56.8463i | 2.32453 | − | 1.88237i | ||||
\(913\) | −16.4592 | + | 18.2798i | −0.544720 | + | 0.604973i | ||||
\(914\) | −17.5492 | + | 7.81342i | −0.580477 | + | 0.258445i | ||||
\(915\) | −7.33711 | + | 1.16208i | −0.242557 | + | 0.0384173i | ||||
\(916\) | −26.6344 | − | 41.0133i | −0.880024 | − | 1.35512i | ||||
\(917\) | 6.00491 | + | 2.30507i | 0.198300 | + | 0.0761201i | ||||
\(918\) | −89.4167 | − | 14.1622i | −2.95119 | − | 0.467423i | ||||
\(919\) | −39.3488 | − | 43.7013i | −1.29800 | − | 1.44157i | −0.829918 | − | 0.557886i | \(-0.811613\pi\) |
−0.468080 | − | 0.883686i | \(-0.655054\pi\) | |||||||
\(920\) | 16.7062 | + | 7.43807i | 0.550786 | + | 0.245226i | ||||
\(921\) | 0.0331581 | + | 0.632694i | 0.00109260 | + | 0.0208480i | ||||
\(922\) | −7.75326 | − | 23.8621i | −0.255340 | − | 0.785856i | ||||
\(923\) | 0.741796 | − | 1.42867i | 0.0244165 | − | 0.0470253i | ||||
\(924\) | 11.3668 | 0.373940 | ||||||||
\(925\) | −6.85687 | + | 25.5902i | −0.225453 | + | 0.841400i | ||||
\(926\) | −15.8658 | − | 74.6427i | −0.521382 | − | 2.45291i | ||||
\(927\) | 6.39949 | + | 14.3735i | 0.210187 | + | 0.472087i | ||||
\(928\) | 30.9478 | + | 4.90166i | 1.01591 | + | 0.160905i | ||||
\(929\) | −4.98039 | + | 1.33449i | −0.163401 | + | 0.0437832i | −0.339592 | − | 0.940573i | \(-0.610289\pi\) |
0.176191 | + | 0.984356i | \(0.443622\pi\) | |||||||
\(930\) | 13.3360 | − | 4.52342i | 0.437304 | − | 0.148329i | ||||
\(931\) | −29.5393 | − | 29.5393i | −0.968111 | − | 0.968111i | ||||
\(932\) | −5.66564 | − | 53.9050i | −0.185584 | − | 1.76572i | ||||
\(933\) | 0.927494 | − | 8.82452i | 0.0303648 | − | 0.288902i | ||||
\(934\) | −26.6391 | − | 17.2996i | −0.871657 | − | 0.566061i | ||||
\(935\) | 29.8209i | 0.975247i | ||||||||
\(936\) | 12.4727 | − | 75.0224i | 0.407684 | − | 2.45219i | ||||
\(937\) | 13.7287 | − | 42.2527i | 0.448498 | − | 1.38034i | −0.430103 | − | 0.902780i | \(-0.641523\pi\) |
0.878601 | − | 0.477556i | \(-0.158477\pi\) | |||||||
\(938\) | −0.974856 | − | 18.6014i | −0.0318302 | − | 0.607356i | ||||
\(939\) | 1.78585 | − | 1.98339i | 0.0582791 | − | 0.0647255i | ||||
\(940\) | 50.2464 | − | 5.28111i | 1.63886 | − | 0.172251i | ||||
\(941\) | −3.67313 | + | 1.87155i | −0.119741 | + | 0.0610109i | −0.512835 | − | 0.858487i | \(-0.671405\pi\) |
0.393094 | + | 0.919498i | \(0.371405\pi\) | |||||||
\(942\) | 26.1441 | − | 32.2853i | 0.851821 | − | 1.05191i | ||||
\(943\) | 1.25748 | − | 3.27584i | 0.0409491 | − | 0.106676i | ||||
\(944\) | 7.80239 | − | 15.3130i | 0.253946 | − | 0.498397i | ||||
\(945\) | 0.995334 | + | 2.23556i | 0.0323782 | + | 0.0727227i | ||||
\(946\) | −100.246 | − | 10.5363i | −3.25928 | − | 0.342565i | ||||
\(947\) | −0.186217 | − | 3.55324i | −0.00605125 | − | 0.115465i | −0.999985 | − | 0.00548393i | \(-0.998254\pi\) |
0.993934 | − | 0.109981i | \(-0.0350789\pi\) | |||||||
\(948\) | 3.25368 | − | 4.47830i | 0.105675 | − | 0.145449i | ||||
\(949\) | 19.8440 | + | 13.1042i | 0.644164 | + | 0.425382i | ||||
\(950\) | −21.0974 | + | 64.9310i | −0.684489 | + | 2.10664i | ||||
\(951\) | −3.08081 | − | 8.02579i | −0.0999021 | − | 0.260254i | ||||
\(952\) | −26.0968 | − | 23.4977i | −0.845802 | − | 0.761563i | ||||
\(953\) | 13.1810 | + | 2.80171i | 0.426974 | + | 0.0907562i | 0.416386 | − | 0.909188i | \(-0.363296\pi\) |
0.0105879 | + | 0.999944i | \(0.496630\pi\) | |||||||
\(954\) | −17.7264 | + | 9.03204i | −0.573912 | + | 0.292423i | ||||
\(955\) | 1.10930 | + | 4.13998i | 0.0358962 | + | 0.133967i | ||||
\(956\) | −15.1067 | − | 56.3791i | −0.488587 | − | 1.82343i | ||||
\(957\) | −2.35468 | − | 4.62133i | −0.0761161 | − | 0.149386i | ||||
\(958\) | −33.5227 | + | 14.9253i | −1.08307 | + | 0.482214i | ||||
\(959\) | 0.863544 | + | 0.384475i | 0.0278853 | + | 0.0124153i | ||||
\(960\) | 30.2996 | + | 8.11874i | 0.977914 | + | 0.262031i | ||||
\(961\) | 4.03173 | + | 30.7367i | 0.130056 | + | 0.991507i | ||||
\(962\) | −53.4042 | + | 38.1783i | −1.72182 | + | 1.23092i | ||||
\(963\) | 18.4520 | − | 13.4062i | 0.594608 | − | 0.432008i | ||||
\(964\) | −71.9276 | + | 58.2459i | −2.31663 | + | 1.87597i | ||||
\(965\) | 9.64532 | − | 2.05018i | 0.310494 | − | 0.0659975i | ||||
\(966\) | 2.11424 | + | 1.22066i | 0.0680245 | + | 0.0392740i | ||||
\(967\) | 10.3597 | + | 10.3597i | 0.333144 | + | 0.333144i | 0.853779 | − | 0.520635i | \(-0.174305\pi\) |
−0.520635 | + | 0.853779i | \(0.674305\pi\) | |||||||
\(968\) | 73.2396 | + | 3.83832i | 2.35401 | + | 0.123368i | ||||
\(969\) | 21.5875 | + | 33.2418i | 0.693490 | + | 1.06788i | ||||
\(970\) | −1.33113 | + | 2.61249i | −0.0427400 | + | 0.0838821i | ||||
\(971\) | −1.45036 | − | 13.7993i | −0.0465443 | − | 0.442840i | −0.992832 | − | 0.119515i | \(-0.961866\pi\) |
0.946288 | − | 0.323325i | \(-0.104801\pi\) | |||||||
\(972\) | −87.9016 | + | 18.6841i | −2.81945 | + | 0.599292i | ||||
\(973\) | −4.66326 | + | 1.79006i | −0.149497 | + | 0.0573866i | ||||
\(974\) | 73.8377 | + | 53.6462i | 2.36591 | + | 1.71894i | ||||
\(975\) | −5.30798 | − | 12.1722i | −0.169992 | − | 0.389824i | ||||
\(976\) | 75.1004 | − | 103.367i | 2.40391 | − | 3.30869i | ||||
\(977\) | 27.0248 | + | 33.3728i | 0.864600 | + | 1.06769i | 0.997069 | + | 0.0765049i | \(0.0243761\pi\) |
−0.132469 | + | 0.991187i | \(0.542291\pi\) | |||||||
\(978\) | 20.5966 | + | 18.5453i | 0.658606 | + | 0.593012i | ||||
\(979\) | 19.3812 | + | 43.5309i | 0.619426 | + | 1.39125i | ||||
\(980\) | 5.85500 | − | 36.9670i | 0.187031 | − | 1.18087i | ||||
\(981\) | 39.5444 | + | 2.07243i | 1.26256 | + | 0.0661677i | ||||
\(982\) | −32.6920 | − | 26.4735i | −1.04324 | − | 0.844802i | ||||
\(983\) | −37.4382 | − | 19.0757i | −1.19409 | − | 0.608421i | −0.260055 | − | 0.965594i | \(-0.583741\pi\) |
−0.934038 | + | 0.357173i | \(0.883741\pi\) | |||||||
\(984\) | 3.52212 | − | 16.5703i | 0.112281 | − | 0.528241i | ||||
\(985\) | −26.2190 | + | 5.57302i | −0.835407 | + | 0.177571i | ||||
\(986\) | −6.47533 | + | 24.1663i | −0.206217 | + | 0.769610i | ||||
\(987\) | 4.31979 | 0.137501 | ||||||||
\(988\) | −104.877 | + | 66.9702i | −3.33657 | + | 2.13061i | ||||
\(989\) | −12.8827 | − | 9.35981i | −0.409645 | − | 0.297625i | ||||
\(990\) | 9.11533 | + | 23.7462i | 0.289704 | + | 0.754705i | ||||
\(991\) | 1.61196 | − | 0.930666i | 0.0512056 | − | 0.0295636i | −0.474179 | − | 0.880429i | \(-0.657255\pi\) |
0.525384 | + | 0.850865i | \(0.323922\pi\) | |||||||
\(992\) | −58.8997 | + | 119.365i | −1.87007 | + | 3.78985i | ||||
\(993\) | −13.8070 | + | 13.8070i | −0.438153 | + | 0.438153i | ||||
\(994\) | −0.492710 | − | 0.398989i | −0.0156278 | − | 0.0126552i | ||||
\(995\) | −5.77299 | + | 15.0391i | −0.183016 | + | 0.476773i | ||||
\(996\) | −26.0995 | + | 13.2983i | −0.826993 | + | 0.421374i | ||||
\(997\) | 7.73971 | − | 13.4056i | 0.245119 | − | 0.424559i | −0.717046 | − | 0.697026i | \(-0.754506\pi\) |
0.962165 | + | 0.272467i | \(0.0878396\pi\) | |||||||
\(998\) | −51.7322 | − | 89.6029i | −1.63756 | − | 2.83633i | ||||
\(999\) | 26.3344 | + | 17.1018i | 0.833185 | + | 0.541076i |
(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 | 403.2.cb.a.15.1 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.1 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.1 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.1 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.1 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.1 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.1 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.1 | yes | 576 | 403.215 | even | 60 | inner |