Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.5 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.5 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.910025 | − | 1.08252i | −0.643485 | − | 0.765459i | ||||
\(3\) | 1.67893 | − | 0.449868i | 0.969331 | − | 0.259732i | 0.260786 | − | 0.965397i | \(-0.416018\pi\) |
0.708546 | + | 0.705665i | \(0.249352\pi\) | |||||||
\(4\) | −0.343708 | + | 1.97024i | −0.171854 | + | 0.985122i | ||||
\(5\) | 0.195879 | − | 0.731029i | 0.0875996 | − | 0.326926i | −0.908194 | − | 0.418549i | \(-0.862539\pi\) |
0.995794 | + | 0.0916229i | \(0.0292054\pi\) | |||||||
\(6\) | −2.01486 | − | 1.40809i | −0.822564 | − | 0.574850i | ||||
\(7\) | 2.52163 | − | 0.800849i | 0.953088 | − | 0.302693i | ||||
\(8\) | 2.44562 | − | 1.42090i | 0.864656 | − | 0.502364i | ||||
\(9\) | 0.0183525 | − | 0.0105958i | 0.00611749 | − | 0.00353194i | ||||
\(10\) | −0.969610 | + | 0.453212i | −0.306618 | + | 0.143318i | ||||
\(11\) | −4.42364 | + | 1.18531i | −1.33378 | + | 0.357385i | −0.854122 | − | 0.520072i | \(-0.825905\pi\) |
−0.479656 | + | 0.877457i | \(0.659238\pi\) | |||||||
\(12\) | 0.309288 | + | 3.46253i | 0.0892837 | + | 0.999546i | ||||
\(13\) | 2.89529 | − | 2.89529i | 0.803010 | − | 0.803010i | −0.180555 | − | 0.983565i | \(-0.557789\pi\) |
0.983565 | + | 0.180555i | \(0.0577895\pi\) | |||||||
\(14\) | −3.16169 | − | 2.00093i | −0.844997 | − | 0.534772i | ||||
\(15\) | − | 1.31547i | − | 0.339652i | ||||||
\(16\) | −3.76373 | − | 1.35438i | −0.940932 | − | 0.338595i | ||||
\(17\) | −2.28427 | − | 1.31882i | −0.554017 | − | 0.319862i | 0.196724 | − | 0.980459i | \(-0.436970\pi\) |
−0.750740 | + | 0.660597i | \(0.770303\pi\) | |||||||
\(18\) | −0.0281714 | − | 0.0102245i | −0.00664006 | − | 0.00240994i | ||||
\(19\) | −1.44161 | + | 5.38016i | −0.330728 | + | 1.23429i | 0.577700 | + | 0.816249i | \(0.303951\pi\) |
−0.908427 | + | 0.418043i | \(0.862716\pi\) | |||||||
\(20\) | 1.37298 | + | 0.637190i | 0.307008 | + | 0.142480i | ||||
\(21\) | 3.87337 | − | 2.47897i | 0.845240 | − | 0.540956i | ||||
\(22\) | 5.30875 | + | 3.71003i | 1.13183 | + | 0.790980i | ||||
\(23\) | 1.01143 | + | 1.75184i | 0.210897 | + | 0.365284i | 0.951995 | − | 0.306112i | \(-0.0990283\pi\) |
−0.741099 | + | 0.671396i | \(0.765695\pi\) | |||||||
\(24\) | 3.46680 | − | 3.48580i | 0.707659 | − | 0.711536i | ||||
\(25\) | 3.83409 | + | 2.21361i | 0.766818 | + | 0.442723i | ||||
\(26\) | −5.76901 | − | 0.499429i | −1.13140 | − | 0.0979461i | ||||
\(27\) | −3.66114 | + | 3.66114i | −0.704587 | + | 0.704587i | ||||
\(28\) | 0.711162 | + | 5.24350i | 0.134397 | + | 0.990928i | ||||
\(29\) | −0.209526 | − | 0.209526i | −0.0389080 | − | 0.0389080i | 0.687385 | − | 0.726293i | \(-0.258758\pi\) |
−0.726293 | + | 0.687385i | \(0.758758\pi\) | |||||||
\(30\) | −1.42402 | + | 1.19711i | −0.259990 | + | 0.218561i | ||||
\(31\) | −3.33052 | + | 5.76864i | −0.598180 | + | 1.03608i | 0.394910 | + | 0.918720i | \(0.370776\pi\) |
−0.993090 | + | 0.117358i | \(0.962558\pi\) | |||||||
\(32\) | 1.95894 | + | 5.30684i | 0.346295 | + | 0.938126i | ||||
\(33\) | −6.89376 | + | 3.98011i | −1.20005 | + | 0.692849i | ||||
\(34\) | 0.651087 | + | 3.67293i | 0.111660 | + | 0.629903i | ||||
\(35\) | −0.0915096 | − | 2.00026i | −0.0154679 | − | 0.338105i | ||||
\(36\) | 0.0145684 | + | 0.0398007i | 0.00242807 | + | 0.00663346i | ||||
\(37\) | −3.82183 | − | 1.02406i | −0.628305 | − | 0.168354i | −0.0694046 | − | 0.997589i | \(-0.522110\pi\) |
−0.558900 | + | 0.829235i | \(0.688777\pi\) | |||||||
\(38\) | 7.13604 | − | 3.33550i | 1.15762 | − | 0.541090i | ||||
\(39\) | 3.55850 | − | 6.16350i | 0.569815 | − | 0.986949i | ||||
\(40\) | −0.559676 | − | 2.06614i | −0.0884925 | − | 0.326686i | ||||
\(41\) | 5.04472 | 0.787853 | 0.393926 | − | 0.919142i | \(-0.371117\pi\) | ||||
0.393926 | + | 0.919142i | \(0.371117\pi\) | |||||||
\(42\) | −6.20841 | − | 1.93708i | −0.957979 | − | 0.298899i | ||||
\(43\) | −3.79454 | − | 3.79454i | −0.578662 | − | 0.578662i | 0.355873 | − | 0.934534i | \(-0.384184\pi\) |
−0.934534 | + | 0.355873i | \(0.884184\pi\) | |||||||
\(44\) | −0.814910 | − | 9.12306i | −0.122852 | − | 1.37535i | ||||
\(45\) | −0.00415099 | − | 0.0154917i | −0.000618792 | − | 0.00230936i | ||||
\(46\) | 0.975983 | − | 2.68911i | 0.143901 | − | 0.396488i | ||||
\(47\) | 2.53993 | + | 4.39928i | 0.370486 | + | 0.641701i | 0.989640 | − | 0.143568i | \(-0.0458577\pi\) |
−0.619154 | + | 0.785270i | \(0.712524\pi\) | |||||||
\(48\) | −6.92833 | − | 0.580727i | −1.00002 | − | 0.0838208i | ||||
\(49\) | 5.71728 | − | 4.03890i | 0.816754 | − | 0.576985i | ||||
\(50\) | −1.09283 | − | 6.16493i | −0.154550 | − | 0.871853i | ||||
\(51\) | −4.42843 | − | 1.18659i | −0.620104 | − | 0.166156i | ||||
\(52\) | 4.70930 | + | 6.69957i | 0.653062 | + | 0.929063i | ||||
\(53\) | −2.87599 | − | 10.7333i | −0.395047 | − | 1.47434i | −0.821699 | − | 0.569921i | \(-0.806974\pi\) |
0.426652 | − | 0.904416i | \(-0.359693\pi\) | |||||||
\(54\) | 7.29500 | + | 0.631536i | 0.992724 | + | 0.0859412i | ||||
\(55\) | 3.46599i | 0.467354i | ||||||||
\(56\) | 5.02903 | − | 5.54156i | 0.672032 | − | 0.740522i | ||||
\(57\) | 9.68145i | 1.28234i | ||||||||
\(58\) | −0.0361426 | + | 0.417491i | −0.00474576 | + | 0.0548192i | ||||
\(59\) | −1.40190 | − | 5.23198i | −0.182512 | − | 0.681145i | −0.995149 | − | 0.0983751i | \(-0.968635\pi\) |
0.812637 | − | 0.582770i | \(-0.198031\pi\) | |||||||
\(60\) | 2.59179 | + | 0.452137i | 0.334599 | + | 0.0583707i | ||||
\(61\) | −5.84791 | − | 1.56694i | −0.748748 | − | 0.200626i | −0.135785 | − | 0.990738i | \(-0.543356\pi\) |
−0.612962 | + | 0.790112i | \(0.710022\pi\) | |||||||
\(62\) | 9.27554 | − | 1.64424i | 1.17799 | − | 0.208818i | ||||
\(63\) | 0.0377926 | − | 0.0414163i | 0.00476142 | − | 0.00521796i | ||||
\(64\) | 3.96208 | − | 6.94996i | 0.495261 | − | 0.868745i | ||||
\(65\) | −1.54942 | − | 2.68367i | −0.192182 | − | 0.332868i | ||||
\(66\) | 10.5821 | + | 3.84064i | 1.30256 | + | 0.472750i | ||||
\(67\) | −2.47586 | − | 9.24005i | −0.302475 | − | 1.12885i | −0.935097 | − | 0.354392i | \(-0.884688\pi\) |
0.632622 | − | 0.774461i | \(-0.281979\pi\) | |||||||
\(68\) | 3.38353 | − | 4.04728i | 0.410313 | − | 0.490805i | ||||
\(69\) | 2.48621 | + | 2.48621i | 0.299305 | + | 0.299305i | ||||
\(70\) | −2.08205 | + | 1.91935i | −0.248852 | + | 0.229406i | ||||
\(71\) | −7.25507 | −0.861018 | −0.430509 | − | 0.902586i | \(-0.641666\pi\) | ||||
−0.430509 | + | 0.902586i | \(0.641666\pi\) | |||||||
\(72\) | 0.0298275 | − | 0.0519903i | 0.00351521 | − | 0.00612712i | ||||
\(73\) | −3.29633 | + | 5.70940i | −0.385806 | + | 0.668235i | −0.991881 | − | 0.127172i | \(-0.959410\pi\) |
0.606075 | + | 0.795408i | \(0.292743\pi\) | |||||||
\(74\) | 2.36940 | + | 5.06913i | 0.275437 | + | 0.589275i | ||||
\(75\) | 7.43301 | + | 1.99167i | 0.858290 | + | 0.229978i | ||||
\(76\) | −10.1047 | − | 4.68953i | −1.15909 | − | 0.537926i | ||||
\(77\) | −10.2056 | + | 6.53159i | −1.16303 | + | 0.744344i | ||||
\(78\) | −9.91044 | + | 1.75679i | −1.12214 | + | 0.198917i | ||||
\(79\) | 13.0615 | − | 7.54108i | 1.46954 | − | 0.848437i | 0.470121 | − | 0.882602i | \(-0.344210\pi\) |
0.999416 | + | 0.0341648i | \(0.0108771\pi\) | |||||||
\(80\) | −1.72733 | + | 2.48610i | −0.193121 | + | 0.277955i | ||||
\(81\) | −4.53156 | + | 7.84890i | −0.503507 | + | 0.872100i | ||||
\(82\) | −4.59082 | − | 5.46102i | −0.506971 | − | 0.603069i | ||||
\(83\) | 8.00548 | + | 8.00548i | 0.878715 | + | 0.878715i | 0.993402 | − | 0.114687i | \(-0.0365864\pi\) |
−0.114687 | + | 0.993402i | \(0.536586\pi\) | |||||||
\(84\) | 3.55287 | + | 8.48354i | 0.387650 | + | 0.925630i | ||||
\(85\) | −1.41154 | + | 1.41154i | −0.153103 | + | 0.153103i | ||||
\(86\) | −0.654546 | + | 7.56080i | −0.0705815 | + | 0.815302i | ||||
\(87\) | −0.446039 | − | 0.257521i | −0.0478204 | − | 0.0276091i | ||||
\(88\) | −9.13432 | + | 9.18437i | −0.973722 | + | 0.979057i | ||||
\(89\) | −3.92536 | − | 6.79892i | −0.416087 | − | 0.720684i | 0.579455 | − | 0.815004i | \(-0.303266\pi\) |
−0.995542 | + | 0.0943203i | \(0.969932\pi\) | |||||||
\(90\) | −0.0129926 | + | 0.0185914i | −0.00136954 | + | 0.00195970i | ||||
\(91\) | 4.98218 | − | 9.61956i | 0.522274 | − | 1.00840i | ||||
\(92\) | −3.79919 | + | 1.39063i | −0.396093 | + | 0.144984i | ||||
\(93\) | −2.99659 | + | 11.1834i | −0.310732 | + | 1.15967i | ||||
\(94\) | 2.45092 | − | 6.75298i | 0.252793 | − | 0.696517i | ||||
\(95\) | 3.65067 | + | 2.10772i | 0.374551 | + | 0.216247i | ||||
\(96\) | 5.67631 | + | 8.02855i | 0.579336 | + | 0.819411i | ||||
\(97\) | 8.79532i | 0.893029i | 0.894776 | + | 0.446514i | \(0.147335\pi\) | ||||
−0.894776 | + | 0.446514i | \(0.852665\pi\) | |||||||
\(98\) | −9.57507 | − | 2.51359i | −0.967228 | − | 0.253910i | ||||
\(99\) | −0.0686254 | + | 0.0686254i | −0.00689712 | + | 0.00689712i | ||||
\(100\) | −5.67917 | + | 6.79326i | −0.567917 | + | 0.679326i | ||||
\(101\) | 2.22819 | − | 0.597042i | 0.221713 | − | 0.0594079i | −0.146252 | − | 0.989247i | \(-0.546721\pi\) |
0.367966 | + | 0.929839i | \(0.380054\pi\) | |||||||
\(102\) | 2.74547 | + | 5.87370i | 0.271842 | + | 0.581583i | ||||
\(103\) | 11.8007 | − | 6.81315i | 1.16276 | − | 0.671319i | 0.210795 | − | 0.977530i | \(-0.432395\pi\) |
0.951964 | + | 0.306211i | \(0.0990613\pi\) | |||||||
\(104\) | 2.96685 | − | 11.1947i | 0.290924 | − | 1.09773i | ||||
\(105\) | −1.05349 | − | 3.31713i | −0.102810 | − | 0.323719i | ||||
\(106\) | −9.00185 | + | 12.8809i | −0.874337 | + | 1.25111i | ||||
\(107\) | −1.22282 | + | 4.56363i | −0.118215 | + | 0.441183i | −0.999507 | − | 0.0313881i | \(-0.990007\pi\) |
0.881293 | + | 0.472571i | \(0.156674\pi\) | |||||||
\(108\) | −5.95498 | − | 8.47171i | −0.573018 | − | 0.815191i | ||||
\(109\) | 7.95931 | − | 2.13269i | 0.762364 | − | 0.204275i | 0.143368 | − | 0.989669i | \(-0.454207\pi\) |
0.618995 | + | 0.785395i | \(0.287540\pi\) | |||||||
\(110\) | 3.75201 | − | 3.15414i | 0.357740 | − | 0.300735i | ||||
\(111\) | −6.87728 | −0.652763 | ||||||||
\(112\) | −10.5754 | − | 0.401071i | −0.999282 | − | 0.0378976i | ||||
\(113\) | 18.4851 | 1.73893 | 0.869467 | − | 0.493990i | \(-0.164462\pi\) | ||||
0.869467 | + | 0.493990i | \(0.164462\pi\) | |||||||
\(114\) | 10.4804 | − | 8.81036i | 0.981577 | − | 0.825166i | ||||
\(115\) | 1.47876 | − | 0.396233i | 0.137895 | − | 0.0369490i | ||||
\(116\) | 0.484834 | − | 0.340802i | 0.0450157 | − | 0.0316427i | ||||
\(117\) | 0.0224578 | − | 0.0838137i | 0.00207623 | − | 0.00774858i | ||||
\(118\) | −4.38796 | + | 6.27882i | −0.403945 | + | 0.578012i | ||||
\(119\) | −6.81627 | − | 1.49624i | −0.624847 | − | 0.137160i | ||||
\(120\) | −1.86915 | − | 3.21713i | −0.170629 | − | 0.293682i | ||||
\(121\) | 8.63736 | − | 4.98678i | 0.785215 | − | 0.453344i | ||||
\(122\) | 3.62549 | + | 7.75644i | 0.328237 | + | 0.702235i | ||||
\(123\) | 8.46974 | − | 2.26946i | 0.763690 | − | 0.204630i | ||||
\(124\) | −10.2209 | − | 8.54468i | −0.917864 | − | 0.767334i | ||||
\(125\) | 5.04499 | − | 5.04499i | 0.451237 | − | 0.451237i | ||||
\(126\) | −0.0792263 | − | 0.00322143i | −0.00705804 | − | 0.000286988i | ||||
\(127\) | − | 13.0667i | − | 1.15948i | −0.814802 | − | 0.579739i | \(-0.803154\pi\) | ||
0.814802 | − | 0.579739i | \(-0.196846\pi\) | |||||||
\(128\) | −11.1291 | + | 2.03559i | −0.983681 | + | 0.179923i | ||||
\(129\) | −8.07781 | − | 4.66373i | −0.711212 | − | 0.410618i | ||||
\(130\) | −1.49512 | + | 4.11949i | −0.131131 | + | 0.361303i | ||||
\(131\) | −2.22382 | + | 8.29942i | −0.194296 | + | 0.725124i | 0.798152 | + | 0.602457i | \(0.205811\pi\) |
−0.992448 | + | 0.122667i | \(0.960855\pi\) | |||||||
\(132\) | −5.47235 | − | 14.9504i | −0.476307 | − | 1.30126i | ||||
\(133\) | 0.673483 | + | 14.7213i | 0.0583984 | + | 1.27650i | ||||
\(134\) | −7.74946 | + | 11.0889i | −0.669452 | + | 0.957932i | ||||
\(135\) | 1.95926 | + | 3.39354i | 0.168626 | + | 0.292070i | ||||
\(136\) | −7.46036 | + | 0.0203822i | −0.639721 | + | 0.00174776i | ||||
\(137\) | −19.9938 | − | 11.5434i | −1.70818 | − | 0.986221i | −0.936809 | − | 0.349841i | \(-0.886236\pi\) |
−0.771376 | − | 0.636380i | \(-0.780431\pi\) | |||||||
\(138\) | 0.428864 | − | 4.95389i | 0.0365073 | − | 0.421703i | ||||
\(139\) | −6.09369 | + | 6.09369i | −0.516860 | + | 0.516860i | −0.916620 | − | 0.399760i | \(-0.869093\pi\) |
0.399760 | + | 0.916620i | \(0.369093\pi\) | |||||||
\(140\) | 3.97245 | + | 0.507209i | 0.335733 | + | 0.0428670i | ||||
\(141\) | 6.24346 | + | 6.24346i | 0.525794 | + | 0.525794i | ||||
\(142\) | 6.60230 | + | 7.85377i | 0.554052 | + | 0.659074i | ||||
\(143\) | −9.37591 | + | 16.2396i | −0.784053 | + | 1.35802i | ||||
\(144\) | −0.0834245 | + | 0.0150235i | −0.00695204 | + | 0.00125196i | ||||
\(145\) | −0.194211 | + | 0.112128i | −0.0161284 | + | 0.00931173i | ||||
\(146\) | 9.18030 | − | 1.62736i | 0.759767 | − | 0.134681i | ||||
\(147\) | 7.78195 | − | 9.35305i | 0.641844 | − | 0.771427i | ||||
\(148\) | 3.33124 | − | 7.17796i | 0.273826 | − | 0.590025i | ||||
\(149\) | 11.6694 | + | 3.12680i | 0.955992 | + | 0.256157i | 0.702903 | − | 0.711286i | \(-0.251887\pi\) |
0.253089 | + | 0.967443i | \(0.418553\pi\) | |||||||
\(150\) | −4.60820 | − | 9.85887i | −0.376258 | − | 0.804973i | ||||
\(151\) | −0.813682 | + | 1.40934i | −0.0662165 | + | 0.114690i | −0.897233 | − | 0.441557i | \(-0.854426\pi\) |
0.831016 | + | 0.556248i | \(0.187759\pi\) | |||||||
\(152\) | 4.11904 | + | 15.2062i | 0.334099 | + | 1.23338i | ||||
\(153\) | −0.0558960 | −0.00451892 | ||||||||
\(154\) | 16.3579 | + | 5.10382i | 1.31816 | + | 0.411278i | ||||
\(155\) | 3.56466 | + | 3.56466i | 0.286321 | + | 0.286321i | ||||
\(156\) | 10.9205 | + | 9.12956i | 0.874341 | + | 0.730949i | ||||
\(157\) | −6.22579 | − | 23.2350i | −0.496872 | − | 1.85435i | −0.519281 | − | 0.854604i | \(-0.673800\pi\) |
0.0224085 | − | 0.999749i | \(-0.492867\pi\) | |||||||
\(158\) | −20.0497 | − | 7.27682i | −1.59507 | − | 0.578913i | ||||
\(159\) | −9.65717 | − | 16.7267i | −0.765864 | − | 1.32651i | ||||
\(160\) | 4.26317 | − | 0.392548i | 0.337033 | − | 0.0310336i | ||||
\(161\) | 3.95341 | + | 3.60750i | 0.311572 | + | 0.284311i | ||||
\(162\) | 12.6204 | − | 2.23718i | 0.991556 | − | 0.175769i | ||||
\(163\) | −8.80794 | − | 2.36008i | −0.689891 | − | 0.184856i | −0.103193 | − | 0.994661i | \(-0.532906\pi\) |
−0.586698 | + | 0.809806i | \(0.699573\pi\) | |||||||
\(164\) | −1.73391 | + | 9.93933i | −0.135396 | + | 0.776131i | ||||
\(165\) | 1.55924 | + | 5.81916i | 0.121387 | + | 0.453021i | ||||
\(166\) | 1.38092 | − | 15.9513i | 0.107180 | − | 1.23806i | ||||
\(167\) | 3.18749i | 0.246656i | 0.992366 | + | 0.123328i | \(0.0393566\pi\) | ||||
−0.992366 | + | 0.123328i | \(0.960643\pi\) | |||||||
\(168\) | 5.95041 | − | 11.5663i | 0.459084 | − | 0.892359i | ||||
\(169\) | − | 3.76544i | − | 0.289649i | ||||||
\(170\) | 2.81256 | + | 0.243486i | 0.215713 | + | 0.0186745i | ||||
\(171\) | 0.0305500 | + | 0.114014i | 0.00233622 | + | 0.00871888i | ||||
\(172\) | 8.78038 | − | 6.17195i | 0.669498 | − | 0.470607i | ||||
\(173\) | 18.6115 | + | 4.98693i | 1.41500 | + | 0.379149i | 0.883708 | − | 0.468038i | \(-0.155039\pi\) |
0.531295 | + | 0.847187i | \(0.321706\pi\) | |||||||
\(174\) | 0.127135 | + | 0.717198i | 0.00963807 | + | 0.0543706i | ||||
\(175\) | 11.4409 | + | 2.51140i | 0.864854 | + | 0.189844i | ||||
\(176\) | 18.2547 | + | 1.53010i | 1.37600 | + | 0.115336i | ||||
\(177\) | −4.70740 | − | 8.15345i | −0.353830 | − | 0.612851i | ||||
\(178\) | −3.78781 | + | 10.4365i | −0.283908 | + | 0.782247i | ||||
\(179\) | 1.88392 | + | 7.03090i | 0.140811 | + | 0.525514i | 0.999906 | + | 0.0136980i | \(0.00436034\pi\) |
−0.859095 | + | 0.511816i | \(0.828973\pi\) | |||||||
\(180\) | 0.0319491 | − | 0.00285383i | 0.00238135 | − | 0.000212712i | ||||
\(181\) | −5.59617 | − | 5.59617i | −0.415960 | − | 0.415960i | 0.467849 | − | 0.883809i | \(-0.345029\pi\) |
−0.883809 | + | 0.467849i | \(0.845029\pi\) | |||||||
\(182\) | −14.9473 | + | 3.36073i | −1.10797 | + | 0.249114i | ||||
\(183\) | −10.5231 | −0.777894 | ||||||||
\(184\) | 4.96275 | + | 2.84720i | 0.365859 | + | 0.209898i | ||||
\(185\) | −1.49723 | + | 2.59328i | −0.110079 | + | 0.190662i | ||||
\(186\) | 14.8333 | − | 6.93333i | 1.08763 | − | 0.508377i | ||||
\(187\) | 11.6680 | + | 3.12643i | 0.853249 | + | 0.228627i | ||||
\(188\) | −9.54065 | + | 3.49221i | −0.695824 | + | 0.254695i | ||||
\(189\) | −6.30004 | + | 12.1641i | −0.458261 | + | 0.884807i | ||||
\(190\) | −1.04055 | − | 5.87001i | −0.0754897 | − | 0.425855i | ||||
\(191\) | −4.12735 | + | 2.38292i | −0.298644 | + | 0.172422i | −0.641834 | − | 0.766844i | \(-0.721826\pi\) |
0.343189 | + | 0.939266i | \(0.388493\pi\) | |||||||
\(192\) | 3.52550 | − | 13.4509i | 0.254431 | − | 0.970736i | ||||
\(193\) | 2.67050 | − | 4.62543i | 0.192226 | − | 0.332946i | −0.753761 | − | 0.657148i | \(-0.771763\pi\) |
0.945988 | + | 0.324202i | \(0.105096\pi\) | |||||||
\(194\) | 9.52112 | − | 8.00396i | 0.683577 | − | 0.574651i | ||||
\(195\) | −3.80866 | − | 3.80866i | −0.272744 | − | 0.272744i | ||||
\(196\) | 5.99254 | + | 12.6526i | 0.428039 | + | 0.903760i | ||||
\(197\) | −11.6754 | + | 11.6754i | −0.831838 | + | 0.831838i | −0.987768 | − | 0.155930i | \(-0.950163\pi\) |
0.155930 | + | 0.987768i | \(0.450163\pi\) | |||||||
\(198\) | 0.136739 | + | 0.0118377i | 0.00971765 | + | 0.000841267i | ||||
\(199\) | −9.02919 | − | 5.21301i | −0.640062 | − | 0.369540i | 0.144576 | − | 0.989494i | \(-0.453818\pi\) |
−0.784639 | + | 0.619953i | \(0.787151\pi\) | |||||||
\(200\) | 12.5220 | − | 0.0342110i | 0.885442 | − | 0.00241908i | ||||
\(201\) | −8.31361 | − | 14.3996i | −0.586397 | − | 1.01567i | ||||
\(202\) | −2.67402 | − | 1.86874i | −0.188143 | − | 0.131484i | ||||
\(203\) | −0.696147 | − | 0.360549i | −0.0488599 | − | 0.0253056i | ||||
\(204\) | 3.85997 | − | 8.31724i | 0.270252 | − | 0.582324i | ||||
\(205\) | 0.988153 | − | 3.68784i | 0.0690156 | − | 0.257570i | ||||
\(206\) | −18.1143 | − | 6.57440i | −1.26209 | − | 0.458060i | ||||
\(207\) | 0.0371243 | + | 0.0214337i | 0.00258032 | + | 0.00148975i | ||||
\(208\) | −14.8184 | + | 6.97577i | −1.02747 | + | 0.483683i | ||||
\(209\) | − | 25.5086i | − | 1.76447i | ||||||
\(210\) | −2.63216 | + | 4.15910i | −0.181636 | + | 0.287005i | ||||
\(211\) | −0.716512 | + | 0.716512i | −0.0493267 | + | 0.0493267i | −0.731340 | − | 0.682013i | \(-0.761105\pi\) |
0.682013 | + | 0.731340i | \(0.261105\pi\) | |||||||
\(212\) | 22.1358 | − | 1.97726i | 1.52029 | − | 0.135799i | ||||
\(213\) | −12.1808 | + | 3.26383i | −0.834612 | + | 0.223634i | ||||
\(214\) | 6.05303 | − | 2.82929i | 0.413776 | − | 0.193406i | ||||
\(215\) | −3.51719 | + | 2.03065i | −0.239870 | + | 0.138489i | ||||
\(216\) | −3.75163 | + | 14.1559i | −0.255266 | + | 0.963185i | ||||
\(217\) | −3.77856 | + | 17.2136i | −0.256505 | + | 1.16854i | ||||
\(218\) | −9.55186 | − | 6.67533i | −0.646933 | − | 0.452110i | ||||
\(219\) | −2.96583 | + | 11.0686i | −0.200412 | + | 0.747947i | ||||
\(220\) | −6.82885 | − | 1.19129i | −0.460401 | − | 0.0803167i | ||||
\(221\) | −10.4320 | + | 2.79525i | −0.701733 | + | 0.188029i | ||||
\(222\) | 6.25850 | + | 7.44481i | 0.420043 | + | 0.499663i | ||||
\(223\) | −12.9181 | −0.865062 | −0.432531 | − | 0.901619i | \(-0.642379\pi\) | ||||
−0.432531 | + | 0.901619i | \(0.642379\pi\) | |||||||
\(224\) | 9.18971 | + | 11.8131i | 0.614014 | + | 0.789295i | ||||
\(225\) | 0.0938201 | 0.00625467 | ||||||||
\(226\) | −16.8219 | − | 20.0106i | −1.11898 | − | 1.33108i | ||||
\(227\) | 15.0241 | − | 4.02569i | 0.997184 | − | 0.267195i | 0.276919 | − | 0.960893i | \(-0.410687\pi\) |
0.720265 | + | 0.693699i | \(0.244020\pi\) | |||||||
\(228\) | −19.0748 | − | 3.32759i | −1.26326 | − | 0.220375i | ||||
\(229\) | −3.58406 | + | 13.3759i | −0.236841 | + | 0.883903i | 0.740469 | + | 0.672090i | \(0.234603\pi\) |
−0.977310 | + | 0.211813i | \(0.932063\pi\) | |||||||
\(230\) | −1.77464 | − | 1.24021i | −0.117017 | − | 0.0817771i | ||||
\(231\) | −14.1961 | + | 15.5572i | −0.934032 | + | 1.02359i | ||||
\(232\) | −0.810136 | − | 0.214705i | −0.0531881 | − | 0.0140961i | ||||
\(233\) | 10.6523 | − | 6.15010i | 0.697854 | − | 0.402906i | −0.108694 | − | 0.994075i | \(-0.534667\pi\) |
0.806548 | + | 0.591169i | \(0.201333\pi\) | |||||||
\(234\) | −0.111167 | + | 0.0519615i | −0.00726724 | + | 0.00339683i | ||||
\(235\) | 3.71352 | − | 0.995035i | 0.242243 | − | 0.0649089i | ||||
\(236\) | 10.7901 | − | 0.963819i | 0.702377 | − | 0.0627393i | ||||
\(237\) | 18.5369 | − | 18.5369i | 1.20410 | − | 1.20410i | ||||
\(238\) | 4.58327 | + | 8.74038i | 0.297089 | + | 0.566554i | ||||
\(239\) | 7.20218i | 0.465870i | 0.972492 | + | 0.232935i | \(0.0748329\pi\) | ||||
−0.972492 | + | 0.232935i | \(0.925167\pi\) | |||||||
\(240\) | −1.78164 | + | 4.95106i | −0.115004 | + | 0.319590i | ||||
\(241\) | 20.7383 | + | 11.9733i | 1.33587 | + | 0.771265i | 0.986192 | − | 0.165605i | \(-0.0529577\pi\) |
0.349678 | + | 0.936870i | \(0.386291\pi\) | |||||||
\(242\) | −13.2585 | − | 4.81204i | −0.852290 | − | 0.309329i | ||||
\(243\) | −0.0569986 | + | 0.212722i | −0.00365646 | + | 0.0136461i | ||||
\(244\) | 5.09723 | − | 10.9832i | 0.326317 | − | 0.703130i | ||||
\(245\) | −1.83266 | − | 4.97063i | −0.117084 | − | 0.317562i | ||||
\(246\) | −10.1644 | − | 7.10341i | −0.648059 | − | 0.452897i | ||||
\(247\) | 11.4032 | + | 19.7510i | 0.725571 | + | 1.25673i | ||||
\(248\) | 0.0514726 | + | 18.8402i | 0.00326852 | + | 1.19635i | ||||
\(249\) | 17.0421 | + | 9.83923i | 1.08000 | + | 0.623536i | ||||
\(250\) | −10.0524 | − | 0.870245i | −0.635768 | − | 0.0550391i | ||||
\(251\) | 6.11266 | − | 6.11266i | 0.385828 | − | 0.385828i | −0.487369 | − | 0.873196i | \(-0.662043\pi\) |
0.873196 | + | 0.487369i | \(0.162043\pi\) | |||||||
\(252\) | 0.0686106 | + | 0.0886958i | 0.00432206 | + | 0.00558731i | ||||
\(253\) | −6.55066 | − | 6.55066i | −0.411837 | − | 0.411837i | ||||
\(254\) | −14.1450 | + | 11.8910i | −0.887533 | + | 0.746107i | ||||
\(255\) | −1.73487 | + | 3.00488i | −0.108642 | + | 0.188173i | ||||
\(256\) | 12.3313 | + | 10.1950i | 0.770707 | + | 0.637190i | ||||
\(257\) | −19.7315 | + | 11.3920i | −1.23082 | + | 0.710613i | −0.967200 | − | 0.254015i | \(-0.918249\pi\) |
−0.263617 | + | 0.964627i | \(0.584915\pi\) | |||||||
\(258\) | 2.30242 | + | 12.9885i | 0.143343 | + | 0.808630i | ||||
\(259\) | −10.4574 | + | 0.478413i | −0.649790 | + | 0.0297272i | ||||
\(260\) | 5.82003 | − | 2.13033i | 0.360943 | − | 0.132118i | ||||
\(261\) | −0.00606542 | − | 0.00162522i | −0.000375440 | − | 0.000100599i | ||||
\(262\) | 11.0080 | − | 5.14535i | 0.680079 | − | 0.317880i | ||||
\(263\) | −5.28788 | + | 9.15888i | −0.326065 | + | 0.564761i | −0.981727 | − | 0.190293i | \(-0.939056\pi\) |
0.655662 | + | 0.755054i | \(0.272389\pi\) | |||||||
\(264\) | −11.2041 | + | 19.5292i | −0.689567 | + | 1.20194i | ||||
\(265\) | −8.40973 | −0.516605 | ||||||||
\(266\) | 15.3232 | − | 14.1258i | 0.939528 | − | 0.866109i | ||||
\(267\) | −9.64903 | − | 9.64903i | −0.590511 | − | 0.590511i | ||||
\(268\) | 19.0561 | − | 1.70218i | 1.16404 | − | 0.103977i | ||||
\(269\) | 2.68103 | + | 10.0057i | 0.163465 | + | 0.610061i | 0.998231 | + | 0.0594553i | \(0.0189364\pi\) |
−0.834766 | + | 0.550605i | \(0.814397\pi\) | |||||||
\(270\) | 1.89061 | − | 5.20915i | 0.115059 | − | 0.317019i | ||||
\(271\) | −12.3322 | − | 21.3601i | −0.749131 | − | 1.29753i | −0.948240 | − | 0.317555i | \(-0.897138\pi\) |
0.199109 | − | 0.979977i | \(-0.436195\pi\) | |||||||
\(272\) | 6.81118 | + | 8.05746i | 0.412989 | + | 0.488555i | ||||
\(273\) | 4.03720 | − | 18.3919i | 0.244342 | − | 1.11313i | ||||
\(274\) | 5.69884 | + | 32.1485i | 0.344280 | + | 1.94216i | ||||
\(275\) | −19.5845 | − | 5.24764i | −1.18099 | − | 0.316445i | ||||
\(276\) | −5.75298 | + | 4.04391i | −0.346289 | + | 0.243415i | ||||
\(277\) | 2.77622 | + | 10.3610i | 0.166807 | + | 0.622531i | 0.997803 | + | 0.0662529i | \(0.0211044\pi\) |
−0.830996 | + | 0.556278i | \(0.812229\pi\) | |||||||
\(278\) | 12.1420 | + | 1.05114i | 0.728226 | + | 0.0630434i | ||||
\(279\) | 0.141158i | 0.00845093i | ||||||||
\(280\) | −3.06596 | − | 4.76184i | −0.183226 | − | 0.284574i | ||||
\(281\) | − | 6.46396i | − | 0.385608i | −0.981237 | − | 0.192804i | \(-0.938242\pi\) | ||
0.981237 | − | 0.192804i | \(-0.0617581\pi\) | |||||||
\(282\) | 1.07698 | − | 12.4404i | 0.0641331 | − | 0.740814i | ||||
\(283\) | 5.09979 | + | 19.0327i | 0.303151 | + | 1.13138i | 0.934525 | + | 0.355897i | \(0.115825\pi\) |
−0.631374 | + | 0.775478i | \(0.717509\pi\) | |||||||
\(284\) | 2.49363 | − | 14.2943i | 0.147970 | − | 0.848209i | ||||
\(285\) | 7.07742 | + | 1.89639i | 0.419230 | + | 0.112332i | ||||
\(286\) | 26.1120 | − | 4.62877i | 1.54403 | − | 0.273705i | ||||
\(287\) | 12.7209 | − | 4.04006i | 0.750893 | − | 0.238477i | ||||
\(288\) | 0.0921817 | + | 0.0766371i | 0.00543186 | + | 0.00451588i | ||||
\(289\) | −5.02141 | − | 8.69734i | −0.295377 | − | 0.511608i | ||||
\(290\) | 0.298118 | + | 0.108199i | 0.0175061 | + | 0.00635366i | ||||
\(291\) | 3.95673 | + | 14.7667i | 0.231948 | + | 0.865641i | ||||
\(292\) | −10.1159 | − | 8.45694i | −0.591991 | − | 0.494905i | ||||
\(293\) | −2.96394 | − | 2.96394i | −0.173155 | − | 0.173155i | 0.615209 | − | 0.788364i | \(-0.289072\pi\) |
−0.788364 | + | 0.615209i | \(0.789072\pi\) | |||||||
\(294\) | −17.2067 | + | 0.0873811i | −1.00351 | + | 0.00509617i | ||||
\(295\) | −4.09933 | −0.238672 | ||||||||
\(296\) | −10.8018 | + | 2.92599i | −0.627843 | + | 0.170070i | ||||
\(297\) | 11.8560 | − | 20.5352i | 0.687954 | − | 1.19157i | ||||
\(298\) | −7.23459 | − | 15.4778i | −0.419089 | − | 0.896606i | ||||
\(299\) | 8.00046 | + | 2.14372i | 0.462679 | + | 0.123974i | ||||
\(300\) | −6.47886 | + | 13.9603i | −0.374057 | + | 0.805998i | ||||
\(301\) | −12.6073 | − | 6.52959i | −0.726672 | − | 0.376359i | ||||
\(302\) | 2.26611 | − | 0.401705i | 0.130400 | − | 0.0231155i | ||||
\(303\) | 3.47239 | − | 2.00479i | 0.199484 | − | 0.115172i | ||||
\(304\) | 12.7126 | − | 18.2970i | 0.729117 | − | 1.04940i | ||||
\(305\) | −2.29096 | + | 3.96806i | −0.131180 | + | 0.227210i | ||||
\(306\) | 0.0508668 | + | 0.0605086i | 0.00290786 | + | 0.00345905i | ||||
\(307\) | −8.60981 | − | 8.60981i | −0.491388 | − | 0.491388i | 0.417356 | − | 0.908743i | \(-0.362957\pi\) |
−0.908743 | + | 0.417356i | \(0.862957\pi\) | |||||||
\(308\) | −9.36110 | − | 22.3524i | −0.533398 | − | 1.27365i | ||||
\(309\) | 16.7476 | − | 16.7476i | 0.952736 | − | 0.952736i | ||||
\(310\) | 0.614894 | − | 7.10276i | 0.0349236 | − | 0.403410i | ||||
\(311\) | 4.98997 | + | 2.88096i | 0.282955 | + | 0.163364i | 0.634760 | − | 0.772709i | \(-0.281099\pi\) |
−0.351805 | + | 0.936073i | \(0.614432\pi\) | |||||||
\(312\) | −0.0549959 | − | 20.1298i | −0.00311353 | − | 1.13963i | ||||
\(313\) | 4.01618 | + | 6.95623i | 0.227008 | + | 0.393190i | 0.956920 | − | 0.290352i | \(-0.0937723\pi\) |
−0.729912 | + | 0.683541i | \(0.760439\pi\) | |||||||
\(314\) | −19.4867 | + | 27.8840i | −1.09970 | + | 1.57358i | ||||
\(315\) | −0.0228738 | − | 0.0357401i | −0.00128879 | − | 0.00201372i | ||||
\(316\) | 10.3684 | + | 28.3263i | 0.583269 | + | 1.59348i | ||||
\(317\) | −2.41473 | + | 9.01190i | −0.135625 | + | 0.506159i | 0.864370 | + | 0.502857i | \(0.167718\pi\) |
−0.999995 | + | 0.00330181i | \(0.998949\pi\) | |||||||
\(318\) | −9.31877 | + | 25.6758i | −0.522571 | + | 1.43983i | ||||
\(319\) | 1.17522 | + | 0.678515i | 0.0657998 | + | 0.0379895i | ||||
\(320\) | −4.30453 | − | 4.25775i | −0.240631 | − | 0.238015i | ||||
\(321\) | 8.21213i | 0.458356i | ||||||||
\(322\) | 0.307503 | − | 7.56257i | 0.0171364 | − | 0.421445i | ||||
\(323\) | 10.3885 | − | 10.3885i | 0.578031 | − | 0.578031i | ||||
\(324\) | −13.9067 | − | 11.6260i | −0.772595 | − | 0.645890i | ||||
\(325\) | 17.5099 | − | 4.69176i | 0.971273 | − | 0.260252i | ||||
\(326\) | 5.46061 | + | 11.6825i | 0.302435 | + | 0.647035i | ||||
\(327\) | 12.4037 | − | 7.16128i | 0.685926 | − | 0.396020i | ||||
\(328\) | 12.3374 | − | 7.16804i | 0.681222 | − | 0.395789i | ||||
\(329\) | 9.92793 | + | 9.05928i | 0.547344 | + | 0.499454i | ||||
\(330\) | 4.88042 | − | 6.98349i | 0.268658 | − | 0.384428i | ||||
\(331\) | −1.32915 | + | 4.96046i | −0.0730568 | + | 0.272652i | −0.992786 | − | 0.119903i | \(-0.961742\pi\) |
0.919729 | + | 0.392554i | \(0.128408\pi\) | |||||||
\(332\) | −18.5243 | + | 13.0212i | −1.01665 | + | 0.714631i | ||||
\(333\) | −0.0809907 | + | 0.0217014i | −0.00443827 | + | 0.00118923i | ||||
\(334\) | 3.45053 | − | 2.90070i | 0.188805 | − | 0.158719i | ||||
\(335\) | −7.23972 | −0.395548 | ||||||||
\(336\) | −17.9358 | + | 4.08417i | −0.978478 | + | 0.222810i | ||||
\(337\) | 1.50446 | 0.0819532 | 0.0409766 | − | 0.999160i | \(-0.486953\pi\) | ||||
0.0409766 | + | 0.999160i | \(0.486953\pi\) | |||||||
\(338\) | −4.07617 | + | 3.42664i | −0.221714 | + | 0.186385i | ||||
\(339\) | 31.0353 | − | 8.31587i | 1.68560 | − | 0.451656i | ||||
\(340\) | −2.29592 | − | 3.26623i | −0.124514 | − | 0.177136i | ||||
\(341\) | 7.89541 | − | 29.4661i | 0.427561 | − | 1.59568i | ||||
\(342\) | 0.0956216 | − | 0.136827i | 0.00517062 | − | 0.00739875i | ||||
\(343\) | 11.1823 | − | 14.7633i | 0.603790 | − | 0.797143i | ||||
\(344\) | −14.6716 | − | 3.88833i | −0.791042 | − | 0.209644i | ||||
\(345\) | 2.30449 | − | 1.33050i | 0.124070 | − | 0.0716316i | ||||
\(346\) | −11.5384 | − | 24.6855i | −0.620310 | − | 1.32710i | ||||
\(347\) | −8.39020 | + | 2.24815i | −0.450410 | + | 0.120687i | −0.476891 | − | 0.878962i | \(-0.658236\pi\) |
0.0264814 | + | 0.999649i | \(0.491570\pi\) | |||||||
\(348\) | 0.660686 | − | 0.790294i | 0.0354165 | − | 0.0423642i | ||||
\(349\) | −15.6677 | + | 15.6677i | −0.838672 | + | 0.838672i | −0.988684 | − | 0.150012i | \(-0.952069\pi\) |
0.150012 | + | 0.988684i | \(0.452069\pi\) | |||||||
\(350\) | −7.69291 | − | 14.6705i | −0.411203 | − | 0.784172i | ||||
\(351\) | 21.2002i | 1.13158i | ||||||||
\(352\) | −14.9559 | − | 21.1536i | −0.797153 | − | 1.12749i | ||||
\(353\) | 21.5439 | + | 12.4384i | 1.14666 | + | 0.662027i | 0.948072 | − | 0.318056i | \(-0.103030\pi\) |
0.198592 | + | 0.980082i | \(0.436363\pi\) | |||||||
\(354\) | −4.54244 | + | 12.5157i | −0.241428 | + | 0.665203i | ||||
\(355\) | −1.42111 | + | 5.30367i | −0.0754249 | + | 0.281490i | ||||
\(356\) | 14.7447 | − | 5.39707i | 0.781468 | − | 0.286044i | ||||
\(357\) | −12.1172 | + | 0.554347i | −0.641308 | + | 0.0293391i | ||||
\(358\) | 5.89668 | − | 8.43768i | 0.311649 | − | 0.445945i | ||||
\(359\) | −4.32864 | − | 7.49742i | −0.228457 | − | 0.395699i | 0.728894 | − | 0.684626i | \(-0.240035\pi\) |
−0.957351 | + | 0.288928i | \(0.906701\pi\) | |||||||
\(360\) | −0.0321639 | − | 0.0319886i | −0.00169518 | − | 0.00168595i | ||||
\(361\) | −10.4134 | − | 6.01216i | −0.548072 | − | 0.316429i | ||||
\(362\) | −0.965323 | + | 11.1506i | −0.0507362 | + | 0.586064i | ||||
\(363\) | 12.2581 | − | 12.2581i | 0.643386 | − | 0.643386i | ||||
\(364\) | 17.2405 | + | 13.1224i | 0.903646 | + | 0.687802i | ||||
\(365\) | 3.52806 | + | 3.52806i | 0.184667 | + | 0.184667i | ||||
\(366\) | 9.57633 | + | 11.3915i | 0.500563 | + | 0.595445i | ||||
\(367\) | 11.9671 | − | 20.7276i | 0.624676 | − | 1.08197i | −0.363928 | − | 0.931427i | \(-0.618564\pi\) |
0.988603 | − | 0.150543i | \(-0.0481022\pi\) | |||||||
\(368\) | −1.43408 | − | 7.96331i | −0.0747564 | − | 0.415116i | ||||
\(369\) | 0.0925831 | − | 0.0534529i | 0.00481968 | − | 0.00278264i | ||||
\(370\) | 4.16980 | − | 0.739164i | 0.216778 | − | 0.0384273i | ||||
\(371\) | −15.8480 | − | 24.7623i | −0.822786 | − | 1.28560i | ||||
\(372\) | −21.0042 | − | 9.74787i | −1.08901 | − | 0.505403i | ||||
\(373\) | −2.28564 | − | 0.612436i | −0.118346 | − | 0.0317107i | 0.199160 | − | 0.979967i | \(-0.436179\pi\) |
−0.317506 | + | 0.948256i | \(0.602845\pi\) | |||||||
\(374\) | −7.23375 | − | 15.4760i | −0.374048 | − | 0.800245i | ||||
\(375\) | 6.20061 | − | 10.7398i | 0.320198 | − | 0.554599i | ||||
\(376\) | 12.4626 | + | 7.14997i | 0.642711 | + | 0.368732i | ||||
\(377\) | −1.21328 | −0.0624870 | ||||||||
\(378\) | 18.9011 | − | 4.24969i | 0.972167 | − | 0.218581i | ||||
\(379\) | −5.34619 | − | 5.34619i | −0.274615 | − | 0.274615i | 0.556340 | − | 0.830955i | \(-0.312205\pi\) |
−0.830955 | + | 0.556340i | \(0.812205\pi\) | |||||||
\(380\) | −5.40748 | + | 6.46828i | −0.277398 | + | 0.331816i | ||||
\(381\) | −5.87828 | − | 21.9380i | −0.301153 | − | 1.12392i | ||||
\(382\) | 6.33556 | + | 2.29942i | 0.324155 | + | 0.117649i | ||||
\(383\) | 12.5700 | + | 21.7718i | 0.642296 | + | 1.11249i | 0.984919 | + | 0.173016i | \(0.0553514\pi\) |
−0.342623 | + | 0.939473i | \(0.611315\pi\) | |||||||
\(384\) | −17.7692 | + | 8.42424i | −0.906781 | + | 0.429898i | ||||
\(385\) | 2.77573 | + | 8.73996i | 0.141464 | + | 0.445429i | ||||
\(386\) | −7.43735 | + | 1.31839i | −0.378551 | + | 0.0671043i | ||||
\(387\) | −0.109845 | − | 0.0294330i | −0.00558375 | − | 0.00149616i | ||||
\(388\) | −17.3289 | − | 3.02302i | −0.879743 | − | 0.153471i | ||||
\(389\) | 1.62916 | + | 6.08010i | 0.0826016 | + | 0.308273i | 0.994849 | − | 0.101366i | \(-0.0323212\pi\) |
−0.912248 | + | 0.409639i | \(0.865655\pi\) | |||||||
\(390\) | −0.656983 | + | 7.58894i | −0.0332676 | + | 0.384281i | ||||
\(391\) | − | 5.33557i | − | 0.269831i | ||||||
\(392\) | 8.24341 | − | 18.0013i | 0.416355 | − | 0.909202i | ||||
\(393\) | 14.9346i | 0.753350i | ||||||||
\(394\) | 23.2638 | + | 2.01397i | 1.17201 | + | 0.101462i | ||||
\(395\) | −2.95427 | − | 11.0255i | −0.148646 | − | 0.554753i | ||||
\(396\) | −0.111622 | − | 0.158796i | −0.00560921 | − | 0.00797980i | ||||
\(397\) | 17.4416 | + | 4.67347i | 0.875371 | + | 0.234555i | 0.668409 | − | 0.743794i | \(-0.266976\pi\) |
0.206962 | + | 0.978349i | \(0.433642\pi\) | |||||||
\(398\) | 2.57360 | + | 14.5183i | 0.129003 | + | 0.727735i | ||||
\(399\) | 7.75338 | + | 24.4131i | 0.388154 | + | 1.22218i | ||||
\(400\) | −11.4324 | − | 13.5243i | −0.571620 | − | 0.676213i | ||||
\(401\) | −7.88832 | − | 13.6630i | −0.393924 | − | 0.682296i | 0.599039 | − | 0.800720i | \(-0.295549\pi\) |
−0.992963 | + | 0.118423i | \(0.962216\pi\) | |||||||
\(402\) | −8.02229 | + | 22.1037i | −0.400115 | + | 1.10243i | ||||
\(403\) | 7.05905 | + | 26.3447i | 0.351636 | + | 1.31232i | ||||
\(404\) | 0.410471 | + | 4.59529i | 0.0204217 | + | 0.228624i | ||||
\(405\) | 4.85014 | + | 4.85014i | 0.241005 | + | 0.241005i | ||||
\(406\) | 0.243209 | + | 1.08170i | 0.0120702 | + | 0.0536841i | ||||
\(407\) | 18.1202 | 0.898186 | ||||||||
\(408\) | −12.5163 | + | 3.39040i | −0.619648 | + | 0.167850i | ||||
\(409\) | −14.9850 | + | 25.9548i | −0.740963 | + | 1.28338i | 0.211095 | + | 0.977466i | \(0.432297\pi\) |
−0.952057 | + | 0.305919i | \(0.901036\pi\) | |||||||
\(410\) | −4.89141 | + | 2.28633i | −0.241569 | + | 0.112914i | ||||
\(411\) | −38.7612 | − | 10.3860i | −1.91195 | − | 0.512305i | ||||
\(412\) | 9.36756 | + | 25.5920i | 0.461507 | + | 1.26083i | ||||
\(413\) | −7.72511 | − | 12.0704i | −0.380128 | − | 0.593946i | ||||
\(414\) | −0.0105816 | − | 0.0596931i | −0.000520056 | − | 0.00293376i | ||||
\(415\) | 7.42034 | − | 4.28413i | 0.364250 | − | 0.210300i | ||||
\(416\) | 21.0366 | + | 9.69314i | 1.03140 | + | 0.475245i | ||||
\(417\) | −7.48953 | + | 12.9722i | −0.366764 | + | 0.635253i | ||||
\(418\) | −27.6137 | + | 23.2135i | −1.35063 | + | 1.13541i | ||||
\(419\) | 19.0681 | + | 19.0681i | 0.931537 | + | 0.931537i | 0.997802 | − | 0.0662653i | \(-0.0211084\pi\) |
−0.0662653 | + | 0.997802i | \(0.521108\pi\) | |||||||
\(420\) | 6.89765 | − | 0.935510i | 0.336571 | − | 0.0456482i | ||||
\(421\) | 1.12116 | − | 1.12116i | 0.0546418 | − | 0.0546418i | −0.679258 | − | 0.733900i | \(-0.737698\pi\) |
0.733900 | + | 0.679258i | \(0.237698\pi\) | |||||||
\(422\) | 1.42768 | + | 0.123596i | 0.0694986 | + | 0.00601657i | ||||
\(423\) | 0.0932279 | + | 0.0538251i | 0.00453289 | + | 0.00261707i | ||||
\(424\) | −22.2846 | − | 22.1631i | −1.08223 | − | 1.07634i | ||||
\(425\) | −5.83873 | − | 10.1130i | −0.283220 | − | 0.490552i | ||||
\(426\) | 14.6180 | + | 10.2158i | 0.708243 | + | 0.494956i | ||||
\(427\) | −16.0012 | + | 0.732036i | −0.774351 | + | 0.0354257i | ||||
\(428\) | −8.57117 | − | 3.97781i | −0.414303 | − | 0.192275i | ||||
\(429\) | −8.43585 | + | 31.4830i | −0.407287 | + | 1.52001i | ||||
\(430\) | 5.39895 | + | 1.95949i | 0.260361 | + | 0.0944951i | ||||
\(431\) | −14.2383 | − | 8.22048i | −0.685834 | − | 0.395966i | 0.116216 | − | 0.993224i | \(-0.462924\pi\) |
−0.802049 | + | 0.597258i | \(0.796257\pi\) | |||||||
\(432\) | 18.7381 | − | 8.82097i | 0.901539 | − | 0.424399i | ||||
\(433\) | 34.3709i | 1.65176i | 0.563847 | + | 0.825879i | \(0.309321\pi\) | ||||
−0.563847 | + | 0.825879i | \(0.690679\pi\) | |||||||
\(434\) | 22.0727 | − | 11.5745i | 1.05952 | − | 0.555593i | ||||
\(435\) | −0.275625 | + | 0.275625i | −0.0132152 | + | 0.0132152i | ||||
\(436\) | 1.46624 | + | 16.4148i | 0.0702202 | + | 0.786127i | ||||
\(437\) | −10.8833 | + | 2.91616i | −0.520617 | + | 0.139499i | ||||
\(438\) | 14.6810 | − | 6.86214i | 0.701485 | − | 0.327886i | ||||
\(439\) | 8.37299 | − | 4.83415i | 0.399621 | − | 0.230721i | −0.286699 | − | 0.958021i | \(-0.592558\pi\) |
0.686321 | + | 0.727299i | \(0.259225\pi\) | |||||||
\(440\) | 4.92482 | + | 8.47648i | 0.234782 | + | 0.404100i | ||||
\(441\) | 0.0621309 | − | 0.134703i | 0.00295861 | − | 0.00641443i | ||||
\(442\) | 12.5193 | + | 8.74913i | 0.595483 | + | 0.416154i | ||||
\(443\) | 9.00239 | − | 33.5974i | 0.427717 | − | 1.59626i | −0.330202 | − | 0.943910i | \(-0.607117\pi\) |
0.757918 | − | 0.652350i | \(-0.226217\pi\) | |||||||
\(444\) | 2.36378 | − | 13.5499i | 0.112180 | − | 0.643051i | ||||
\(445\) | −5.73910 | + | 1.53779i | −0.272060 | + | 0.0728982i | ||||
\(446\) | 11.7558 | + | 13.9842i | 0.556654 | + | 0.662169i | ||||
\(447\) | 20.9987 | 0.993205 | ||||||||
\(448\) | 4.42506 | − | 20.6983i | 0.209065 | − | 0.977902i | ||||
\(449\) | −35.5072 | −1.67569 | −0.837844 | − | 0.545910i | \(-0.816184\pi\) | ||||
−0.837844 | + | 0.545910i | \(0.816184\pi\) | |||||||
\(450\) | −0.0853786 | − | 0.101562i | −0.00402479 | − | 0.00478769i | ||||
\(451\) | −22.3160 | + | 5.97956i | −1.05082 | + | 0.281567i | ||||
\(452\) | −6.35349 | + | 36.4202i | −0.298843 | + | 1.71306i | ||||
\(453\) | −0.732100 | + | 2.73223i | −0.0343970 | + | 0.128372i | ||||
\(454\) | −18.0302 | − | 12.6004i | −0.846200 | − | 0.591368i | ||||
\(455\) | −6.05628 | − | 5.52638i | −0.283923 | − | 0.259081i | ||||
\(456\) | 13.7564 | + | 23.6771i | 0.644201 | + | 1.10878i | ||||
\(457\) | −26.0860 | + | 15.0607i | −1.22025 | + | 0.704512i | −0.964971 | − | 0.262356i | \(-0.915501\pi\) |
−0.255279 | + | 0.966867i | \(0.582167\pi\) | |||||||
\(458\) | 17.7413 | − | 8.29257i | 0.828995 | − | 0.387486i | ||||
\(459\) | 13.1914 | − | 3.53464i | 0.615724 | − | 0.164983i | ||||
\(460\) | 0.272414 | + | 3.04971i | 0.0127013 | + | 0.142194i | ||||
\(461\) | −2.37946 | + | 2.37946i | −0.110822 | + | 0.110822i | −0.760344 | − | 0.649521i | \(-0.774969\pi\) |
0.649521 | + | 0.760344i | \(0.274969\pi\) | |||||||
\(462\) | 29.7598 | + | 1.21007i | 1.38455 | + | 0.0562975i | ||||
\(463\) | 1.23324i | 0.0573136i | 0.999589 | + | 0.0286568i | \(0.00912299\pi\) | ||||
−0.999589 | + | 0.0286568i | \(0.990877\pi\) | |||||||
\(464\) | 0.504822 | + | 1.07238i | 0.0234358 | + | 0.0497839i | ||||
\(465\) | 7.58845 | + | 4.38120i | 0.351906 | + | 0.203173i | ||||
\(466\) | −16.3515 | − | 5.93459i | −0.757467 | − | 0.274914i | ||||
\(467\) | −8.25258 | + | 30.7990i | −0.381884 | + | 1.42521i | 0.461137 | + | 0.887329i | \(0.347442\pi\) |
−0.843021 | + | 0.537881i | \(0.819225\pi\) | |||||||
\(468\) | 0.157415 | + | 0.0730549i | 0.00727649 | + | 0.00337696i | ||||
\(469\) | −13.6431 | − | 21.3172i | −0.629980 | − | 0.984339i | ||||
\(470\) | −4.45654 | − | 3.11446i | −0.205565 | − | 0.143659i | ||||
\(471\) | −20.9054 | − | 36.2091i | −0.963268 | − | 1.66843i | ||||
\(472\) | −10.8626 | − | 10.8034i | −0.499993 | − | 0.497269i | ||||
\(473\) | 21.2834 | + | 12.2880i | 0.978611 | + | 0.565001i | ||||
\(474\) | −36.9357 | − | 3.19756i | −1.69651 | − | 0.146869i | ||||
\(475\) | −17.4368 | + | 17.4368i | −0.800057 | + | 0.800057i | ||||
\(476\) | 5.29076 | − | 12.9155i | 0.242502 | − | 0.591979i | ||||
\(477\) | −0.166510 | − | 0.166510i | −0.00762396 | − | 0.00762396i | ||||
\(478\) | 7.79651 | − | 6.55416i | 0.356604 | − | 0.299780i | ||||
\(479\) | 6.64611 | − | 11.5114i | 0.303668 | − | 0.525969i | −0.673296 | − | 0.739373i | \(-0.735122\pi\) |
0.976964 | + | 0.213404i | \(0.0684552\pi\) | |||||||
\(480\) | 6.98097 | − | 2.57693i | 0.318636 | − | 0.117620i | ||||
\(481\) | −14.0303 | + | 8.10037i | −0.639725 | + | 0.369345i | ||||
\(482\) | −5.91105 | − | 33.3456i | −0.269241 | − | 1.51885i | ||||
\(483\) | 8.26040 | + | 4.27824i | 0.375861 | + | 0.194667i | ||||
\(484\) | 6.85645 | + | 18.7317i | 0.311657 | + | 0.851442i | ||||
\(485\) | 6.42963 | + | 1.72281i | 0.291955 | + | 0.0782290i | ||||
\(486\) | 0.282146 | − | 0.131880i | 0.0127984 | − | 0.00598219i | ||||
\(487\) | 0.642044 | − | 1.11205i | 0.0290938 | − | 0.0503919i | −0.851112 | − | 0.524984i | \(-0.824071\pi\) |
0.880206 | + | 0.474592i | \(0.157405\pi\) | |||||||
\(488\) | −16.5282 | + | 4.47715i | −0.748197 | + | 0.202671i | ||||
\(489\) | −15.8497 | −0.716746 | ||||||||
\(490\) | −3.71306 | + | 6.50730i | −0.167739 | + | 0.293970i | ||||
\(491\) | 7.08341 | + | 7.08341i | 0.319670 | + | 0.319670i | 0.848640 | − | 0.528970i | \(-0.177422\pi\) |
−0.528970 | + | 0.848640i | \(0.677422\pi\) | |||||||
\(492\) | 1.56027 | + | 17.4675i | 0.0703424 | + | 0.787495i | ||||
\(493\) | 0.202286 | + | 0.754942i | 0.00911051 | + | 0.0340009i | ||||
\(494\) | 11.0037 | − | 30.3182i | 0.495078 | − | 1.36408i | ||||
\(495\) | 0.0367249 | + | 0.0636095i | 0.00165066 | + | 0.00285903i | ||||
\(496\) | 20.3481 | − | 17.2008i | 0.913657 | − | 0.772338i | ||||
\(497\) | −18.2946 | + | 5.81022i | −0.820627 | + | 0.260624i | ||||
\(498\) | −4.85751 | − | 27.4023i | −0.217670 | − | 1.22793i | ||||
\(499\) | −21.9365 | − | 5.87786i | −0.982011 | − | 0.263129i | −0.268120 | − | 0.963386i | \(-0.586402\pi\) |
−0.713891 | + | 0.700256i | \(0.753069\pi\) | |||||||
\(500\) | 8.20585 | + | 11.6739i | 0.366977 | + | 0.522071i | ||||
\(501\) | 1.43395 | + | 5.35158i | 0.0640642 | + | 0.239091i | ||||
\(502\) | −12.1798 | − | 1.05442i | −0.543609 | − | 0.0470608i | ||||
\(503\) | − | 36.0928i | − | 1.60930i | −0.593751 | − | 0.804649i | \(-0.702354\pi\) | ||
0.593751 | − | 0.804649i | \(-0.297646\pi\) | |||||||
\(504\) | 0.0335777 | − | 0.154988i | 0.00149567 | − | 0.00690371i | ||||
\(505\) | − | 1.74582i | − | 0.0776880i | ||||||
\(506\) | −1.12997 | + | 13.0525i | −0.0502333 | + | 0.580254i | ||||
\(507\) | −1.69395 | − | 6.32191i | −0.0752310 | − | 0.280766i | ||||
\(508\) | 25.7445 | + | 4.49112i | 1.14223 | + | 0.199261i | ||||
\(509\) | −5.25856 | − | 1.40903i | −0.233081 | − | 0.0624540i | 0.140388 | − | 0.990097i | \(-0.455165\pi\) |
−0.373469 | + | 0.927643i | \(0.621832\pi\) | |||||||
\(510\) | 4.83163 | − | 0.856484i | 0.213948 | − | 0.0379257i | ||||
\(511\) | −3.73976 | + | 17.0369i | −0.165437 | + | 0.753668i | ||||
\(512\) | −0.185456 | − | 22.6267i | −0.00819607 | − | 0.999966i | ||||
\(513\) | −14.4196 | − | 24.9755i | −0.636640 | − | 1.10269i | ||||
\(514\) | 30.2882 | + | 10.9928i | 1.33596 | + | 0.484871i | ||||
\(515\) | −2.66910 | − | 9.96122i | −0.117615 | − | 0.438944i | ||||
\(516\) | 11.9651 | − | 14.3123i | 0.526734 | − | 0.630064i | ||||
\(517\) | −16.4502 | − | 16.4502i | −0.723481 | − | 0.723481i | ||||
\(518\) | 10.0344 | + | 10.8850i | 0.440885 | + | 0.478258i | ||||
\(519\) | 33.4908 | 1.47008 | ||||||||
\(520\) | −7.60251 | − | 4.36166i | −0.333392 | − | 0.191271i | ||||
\(521\) | −2.57861 | + | 4.46629i | −0.112971 | + | 0.195672i | −0.916967 | − | 0.398963i | \(-0.869370\pi\) |
0.803996 | + | 0.594635i | \(0.202703\pi\) | |||||||
\(522\) | 0.00376034 | + | 0.00804495i | 0.000164586 | + | 0.000352118i | ||||
\(523\) | 7.42474 | + | 1.98945i | 0.324661 | + | 0.0869928i | 0.417469 | − | 0.908691i | \(-0.362917\pi\) |
−0.0928072 | + | 0.995684i | \(0.529584\pi\) | |||||||
\(524\) | −15.5875 | − | 7.23406i | −0.680945 | − | 0.316021i | ||||
\(525\) | 20.3384 | − | 0.930458i | 0.887639 | − | 0.0406085i | ||||
\(526\) | 14.7268 | − | 2.61056i | 0.642119 | − | 0.113826i | ||||
\(527\) | 15.2156 | − | 8.78475i | 0.662803 | − | 0.382670i | ||||
\(528\) | 31.3368 | − | 5.64330i | 1.36376 | − | 0.245593i | ||||
\(529\) | 9.45404 | − | 16.3749i | 0.411045 | − | 0.711951i | ||||
\(530\) | 7.65306 | + | 9.10372i | 0.332428 | + | 0.395440i | ||||
\(531\) | −0.0811654 | − | 0.0811654i | −0.00352228 | − | 0.00352228i | ||||
\(532\) | −29.2360 | − | 3.73291i | −1.26754 | − | 0.161842i | ||||
\(533\) | 14.6059 | − | 14.6059i | 0.632653 | − | 0.632653i | ||||
\(534\) | −1.66443 | + | 19.2261i | −0.0720268 | + | 0.831997i | ||||
\(535\) | 3.09662 | + | 1.78784i | 0.133879 | + | 0.0772949i | ||||
\(536\) | −19.1842 | − | 19.0797i | −0.828632 | − | 0.824116i | ||||
\(537\) | 6.32595 | + | 10.9569i | 0.272985 | + | 0.472824i | ||||
\(538\) | 8.39163 | − | 12.0077i | 0.361789 | − | 0.517691i | ||||
\(539\) | −20.5039 | + | 24.6434i | −0.883163 | + | 1.06147i | ||||
\(540\) | −7.35952 | + | 2.69384i | −0.316704 | + | 0.115924i | ||||
\(541\) | −2.02312 | + | 7.55039i | −0.0869808 | + | 0.324617i | −0.995682 | − | 0.0928305i | \(-0.970409\pi\) |
0.908701 | + | 0.417447i | \(0.137075\pi\) | |||||||
\(542\) | −11.9001 | + | 32.7881i | −0.511153 | + | 1.40837i | ||||
\(543\) | −11.9131 | − | 6.87805i | −0.511241 | − | 0.295165i | ||||
\(544\) | 2.52403 | − | 14.7057i | 0.108217 | − | 0.630504i | ||||
\(545\) | − | 6.23624i | − | 0.267131i | ||||||
\(546\) | −23.5836 | + | 12.3667i | −1.00928 | + | 0.529248i | ||||
\(547\) | 3.45431 | − | 3.45431i | 0.147696 | − | 0.147696i | −0.629392 | − | 0.777088i | \(-0.716696\pi\) |
0.777088 | + | 0.629392i | \(0.216696\pi\) | |||||||
\(548\) | 29.6154 | − | 35.4251i | 1.26511 | − | 1.51328i | ||||
\(549\) | −0.123927 | + | 0.0332060i | −0.00528906 | + | 0.00141720i | ||||
\(550\) | 12.1417 | + | 25.9761i | 0.517723 | + | 1.10762i | ||||
\(551\) | 1.42934 | − | 0.825229i | 0.0608918 | − | 0.0351559i | ||||
\(552\) | 9.61298 | + | 2.54766i | 0.409156 | + | 0.108436i | ||||
\(553\) | 26.8971 | − | 29.4762i | 1.14378 | − | 1.25345i | ||||
\(554\) | 8.68956 | − | 12.4341i | 0.369184 | − | 0.528273i | ||||
\(555\) | −1.34711 | + | 5.02749i | −0.0571817 | + | 0.213405i | ||||
\(556\) | −9.91161 | − | 14.1005i | −0.420346 | − | 0.597995i | ||||
\(557\) | 27.8991 | − | 7.47554i | 1.18212 | − | 0.316749i | 0.386354 | − | 0.922350i | \(-0.373734\pi\) |
0.795768 | + | 0.605602i | \(0.207067\pi\) | |||||||
\(558\) | 0.152807 | − | 0.128458i | 0.00646884 | − | 0.00543805i | ||||
\(559\) | −21.9726 | −0.929342 | ||||||||
\(560\) | −2.36469 | + | 7.65237i | −0.0999264 | + | 0.323372i | ||||
\(561\) | 20.9963 | 0.886463 | ||||||||
\(562\) | −6.99738 | + | 5.88237i | −0.295167 | + | 0.248133i | ||||
\(563\) | 0.908166 | − | 0.243342i | 0.0382746 | − | 0.0102557i | −0.239631 | − | 0.970864i | \(-0.577026\pi\) |
0.277906 | + | 0.960608i | \(0.410360\pi\) | |||||||
\(564\) | −14.4471 | + | 10.1552i | −0.608331 | + | 0.427612i | ||||
\(565\) | 3.62084 | − | 13.5132i | 0.152330 | − | 0.568503i | ||||
\(566\) | 15.9624 | − | 22.8409i | 0.670948 | − | 0.960073i | ||||
\(567\) | −5.14116 | + | 23.4211i | −0.215909 | + | 0.983596i | ||||
\(568\) | −17.7431 | + | 10.3087i | −0.744485 | + | 0.432545i | ||||
\(569\) | 11.5141 | − | 6.64769i | 0.482698 | − | 0.278686i | −0.238842 | − | 0.971058i | \(-0.576768\pi\) |
0.721540 | + | 0.692373i | \(0.243435\pi\) | |||||||
\(570\) | −4.38775 | − | 9.38723i | −0.183783 | − | 0.393188i | ||||
\(571\) | −7.90497 | + | 2.11813i | −0.330813 | + | 0.0886410i | −0.420402 | − | 0.907338i | \(-0.638111\pi\) |
0.0895898 | + | 0.995979i | \(0.471444\pi\) | |||||||
\(572\) | −28.7733 | − | 24.0545i | −1.20307 | − | 1.00577i | ||||
\(573\) | −5.85753 | + | 5.85753i | −0.244702 | + | 0.244702i | ||||
\(574\) | −15.9498 | − | 10.0941i | −0.665733 | − | 0.421321i | ||||
\(575\) | 8.95562i | 0.373475i | ||||||||
\(576\) | −0.000926342 | − | 0.169530i | −3.85976e−5 | − | 0.00706377i | ||||
\(577\) | 23.0378 | + | 13.3009i | 0.959077 | + | 0.553724i | 0.895889 | − | 0.444278i | \(-0.146540\pi\) |
0.0631883 | + | 0.998002i | \(0.479873\pi\) | |||||||
\(578\) | −4.84545 | + | 13.3506i | −0.201544 | + | 0.555311i | ||||
\(579\) | 2.40274 | − | 8.96716i | 0.0998546 | − | 0.372662i | ||||
\(580\) | −0.154168 | − | 0.421183i | −0.00640146 | − | 0.0174887i | ||||
\(581\) | 26.5981 | + | 13.7757i | 1.10347 | + | 0.571513i | ||||
\(582\) | 12.3846 | − | 17.7213i | 0.513358 | − | 0.734573i | ||||
\(583\) | 25.4447 | + | 44.0715i | 1.05381 | + | 1.82525i | ||||
\(584\) | 0.0509441 | + | 18.6468i | 0.00210808 | + | 0.771609i | ||||
\(585\) | −0.0568713 | − | 0.0328347i | −0.00235134 | − | 0.00135755i | ||||
\(586\) | −0.511271 | + | 5.90580i | −0.0211204 | + | 0.243966i | ||||
\(587\) | 9.30074 | − | 9.30074i | 0.383883 | − | 0.383883i | −0.488616 | − | 0.872499i | \(-0.662498\pi\) |
0.872499 | + | 0.488616i | \(0.162498\pi\) | |||||||
\(588\) | 15.7531 | + | 18.5471i | 0.649646 | + | 0.764868i | ||||
\(589\) | −26.2349 | − | 26.2349i | −1.08099 | − | 1.08099i | ||||
\(590\) | 3.73049 | + | 4.43762i | 0.153582 | + | 0.182694i | ||||
\(591\) | −14.3498 | + | 24.8546i | −0.590272 | + | 1.02238i | ||||
\(592\) | 12.9974 | + | 9.03048i | 0.534189 | + | 0.371150i | ||||
\(593\) | 12.2162 | − | 7.05302i | 0.501659 | − | 0.289633i | −0.227739 | − | 0.973722i | \(-0.573133\pi\) |
0.729398 | + | 0.684089i | \(0.239800\pi\) | |||||||
\(594\) | −33.0190 | + | 5.85316i | −1.35479 | + | 0.240158i | ||||
\(595\) | −2.42895 | + | 4.68981i | −0.0995774 | + | 0.192264i | ||||
\(596\) | −10.1714 | + | 21.9168i | −0.416638 | + | 0.897748i | ||||
\(597\) | −17.5046 | − | 4.69033i | −0.716414 | − | 0.191963i | ||||
\(598\) | −4.96000 | − | 10.6115i | −0.202830 | − | 0.433937i | ||||
\(599\) | −14.7397 | + | 25.5299i | −0.602247 | + | 1.04312i | 0.390233 | + | 0.920716i | \(0.372394\pi\) |
−0.992480 | + | 0.122406i | \(0.960939\pi\) | |||||||
\(600\) | 21.0083 | − | 5.69071i | 0.857659 | − | 0.232322i | ||||
\(601\) | 23.6858 | 0.966164 | 0.483082 | − | 0.875575i | \(-0.339517\pi\) | ||||
0.483082 | + | 0.875575i | \(0.339517\pi\) | |||||||
\(602\) | 4.40453 | + | 19.5898i | 0.179515 | + | 0.798419i | ||||
\(603\) | −0.143344 | − | 0.143344i | −0.00583742 | − | 0.00583742i | ||||
\(604\) | −2.49707 | − | 2.08755i | −0.101604 | − | 0.0849414i | ||||
\(605\) | −1.95361 | − | 7.29097i | −0.0794255 | − | 0.296420i | ||||
\(606\) | −5.33019 | − | 1.93453i | −0.216524 | − | 0.0785851i | ||||
\(607\) | 2.86300 | + | 4.95886i | 0.116206 | + | 0.201274i | 0.918261 | − | 0.395976i | \(-0.129593\pi\) |
−0.802055 | + | 0.597250i | \(0.796260\pi\) | |||||||
\(608\) | −31.3757 | + | 2.88903i | −1.27245 | + | 0.117166i | ||||
\(609\) | −1.33098 | − | 0.292163i | −0.0539341 | − | 0.0118391i | ||||
\(610\) | 6.38034 | − | 1.13102i | 0.258333 | − | 0.0457936i | ||||
\(611\) | 20.0910 | + | 5.38338i | 0.812796 | + | 0.217788i | ||||
\(612\) | 0.0192119 | − | 0.110129i | 0.000776596 | − | 0.00445169i | ||||
\(613\) | −0.582780 | − | 2.17496i | −0.0235383 | − | 0.0878459i | 0.953158 | − | 0.302474i | \(-0.0978126\pi\) |
−0.976696 | + | 0.214628i | \(0.931146\pi\) | |||||||
\(614\) | −1.48517 | + | 17.1554i | −0.0599364 | + | 0.692338i | ||||
\(615\) | − | 6.63616i | − | 0.267596i | ||||||
\(616\) | −15.6781 | + | 30.4748i | −0.631690 | + | 1.22787i | ||||
\(617\) | 12.2572i | 0.493457i | 0.969085 | + | 0.246729i | \(0.0793556\pi\) | ||||
−0.969085 | + | 0.246729i | \(0.920644\pi\) | |||||||
\(618\) | −33.3703 | − | 2.88891i | −1.34235 | − | 0.116209i | ||||
\(619\) | −1.93311 | − | 7.21445i | −0.0776981 | − | 0.289973i | 0.916133 | − | 0.400873i | \(-0.131293\pi\) |
−0.993832 | + | 0.110900i | \(0.964627\pi\) | |||||||
\(620\) | −8.24846 | + | 5.79805i | −0.331266 | + | 0.232855i | ||||
\(621\) | −10.1167 | − | 2.71077i | −0.405970 | − | 0.108779i | ||||
\(622\) | −1.42229 | − | 8.02350i | −0.0570288 | − | 0.321713i | ||||
\(623\) | −15.3432 | − | 14.0008i | −0.614714 | − | 0.560929i | ||||
\(624\) | −21.7409 | + | 18.3782i | −0.870334 | + | 0.735716i | ||||
\(625\) | 8.36824 | + | 14.4942i | 0.334730 | + | 0.579769i | ||||
\(626\) | 3.87545 | − | 10.6780i | 0.154894 | − | 0.426777i | ||||
\(627\) | −11.4755 | − | 42.8272i | −0.458288 | − | 1.71036i | ||||
\(628\) | 47.9184 | − | 4.28028i | 1.91215 | − | 0.170802i | ||||
\(629\) | 7.37954 | + | 7.37954i | 0.294241 | + | 0.294241i | ||||
\(630\) | −0.0178737 | + | 0.0572857i | −0.000712105 | + | 0.00228232i | ||||
\(631\) | −10.1046 | −0.402257 | −0.201129 | − | 0.979565i | \(-0.564461\pi\) | ||||
−0.201129 | + | 0.979565i | \(0.564461\pi\) | |||||||
\(632\) | 21.2284 | − | 37.0017i | 0.844419 | − | 1.47185i | ||||
\(633\) | −0.880639 | + | 1.52531i | −0.0350022 | + | 0.0606257i | ||||
\(634\) | 11.9530 | − | 5.58705i | 0.474716 | − | 0.221890i | ||||
\(635\) | −9.55211 | − | 2.55948i | −0.379064 | − | 0.101570i | ||||
\(636\) | 36.2750 | − | 13.2779i | 1.43840 | − | 0.526502i | ||||
\(637\) | 4.85941 | − | 28.2470i | 0.192537 | − | 1.11919i | ||||
\(638\) | −0.334974 | − | 1.88967i | −0.0132618 | − | 0.0748127i | ||||
\(639\) | −0.133148 | + | 0.0768733i | −0.00526727 | + | 0.00304106i | ||||
\(640\) | −0.691872 | + | 8.53441i | −0.0273487 | + | 0.337352i | ||||
\(641\) | 11.1392 | − | 19.2937i | 0.439973 | − | 0.762056i | −0.557713 | − | 0.830034i | \(-0.688321\pi\) |
0.997687 | + | 0.0679772i | \(0.0216545\pi\) | |||||||
\(642\) | 8.88981 | − | 7.47324i | 0.350853 | − | 0.294945i | ||||
\(643\) | −2.94059 | − | 2.94059i | −0.115965 | − | 0.115965i | 0.646743 | − | 0.762708i | \(-0.276131\pi\) |
−0.762708 | + | 0.646743i | \(0.776131\pi\) | |||||||
\(644\) | −8.46648 | + | 6.54925i | −0.333626 | + | 0.258077i | ||||
\(645\) | −4.99159 | + | 4.99159i | −0.196544 | + | 0.196544i | ||||
\(646\) | −20.6996 | − | 1.79198i | −0.814414 | − | 0.0705047i | ||||
\(647\) | −13.6596 | − | 7.88639i | −0.537015 | − | 0.310046i | 0.206853 | − | 0.978372i | \(-0.433678\pi\) |
−0.743869 | + | 0.668326i | \(0.767011\pi\) | |||||||
\(648\) | 0.0700345 | + | 25.6343i | 0.00275121 | + | 1.00701i | ||||
\(649\) | 12.4030 | + | 21.4827i | 0.486862 | + | 0.843269i | ||||
\(650\) | −21.0134 | − | 14.6852i | −0.824212 | − | 0.576001i | ||||
\(651\) | 1.39993 | + | 30.6004i | 0.0548677 | + | 1.19932i | ||||
\(652\) | 7.67730 | − | 16.5426i | 0.300666 | − | 0.647859i | ||||
\(653\) | 3.18397 | − | 11.8827i | 0.124598 | − | 0.465007i | −0.875227 | − | 0.483713i | \(-0.839288\pi\) |
0.999825 | + | 0.0187058i | \(0.00595460\pi\) | |||||||
\(654\) | −19.0399 | − | 6.91034i | −0.744520 | − | 0.270216i | ||||
\(655\) | 5.63152 | + | 3.25136i | 0.220042 | + | 0.127041i | ||||
\(656\) | −18.9870 | − | 6.83246i | −0.741316 | − | 0.266763i | ||||
\(657\) | 0.139709i | 0.00545056i | ||||||||
\(658\) | 0.772211 | − | 18.9914i | 0.0301039 | − | 0.740361i | ||||
\(659\) | 22.1996 | − | 22.1996i | 0.864775 | − | 0.864775i | −0.127114 | − | 0.991888i | \(-0.540571\pi\) |
0.991888 | + | 0.127114i | \(0.0405713\pi\) | |||||||
\(660\) | −12.0011 | + | 1.07199i | −0.467142 | + | 0.0417271i | ||||
\(661\) | −0.947777 | + | 0.253956i | −0.0368642 | + | 0.00987774i | −0.277204 | − | 0.960811i | \(-0.589408\pi\) |
0.240340 | + | 0.970689i | \(0.422741\pi\) | |||||||
\(662\) | 6.57937 | − | 3.07531i | 0.255714 | − | 0.119525i | ||||
\(663\) | −16.2571 | + | 9.38606i | −0.631375 | + | 0.364524i | ||||
\(664\) | 30.9533 | + | 8.20334i | 1.20122 | + | 0.318351i | ||||
\(665\) | 10.8936 | + | 2.39125i | 0.422436 | + | 0.0927288i | ||||
\(666\) | 0.0971959 | + | 0.0679254i | 0.00376626 | + | 0.00263206i | ||||
\(667\) | 0.155136 | − | 0.578976i | 0.00600690 | − | 0.0224181i | ||||
\(668\) | −6.28014 | − | 1.09557i | −0.242986 | − | 0.0423888i | ||||
\(669\) | −21.6887 | + | 5.81146i | −0.838532 | + | 0.224684i | ||||
\(670\) | 6.58833 | + | 7.83716i | 0.254529 | + | 0.302776i | ||||
\(671\) | 27.7264 | 1.07036 | ||||||||
\(672\) | 20.7432 | + | 15.6992i | 0.800188 | + | 0.605610i | ||||
\(673\) | −28.5560 | −1.10075 | −0.550376 | − | 0.834917i | \(-0.685516\pi\) | ||||
−0.550376 | + | 0.834917i | \(0.685516\pi\) | |||||||
\(674\) | −1.36910 | − | 1.62861i | −0.0527357 | − | 0.0627318i | ||||
\(675\) | −22.1415 | + | 5.93280i | −0.852227 | + | 0.228354i | ||||
\(676\) | 7.41883 | + | 1.29421i | 0.285340 | + | 0.0497774i | ||||
\(677\) | 1.91250 | − | 7.13755i | 0.0735033 | − | 0.274318i | −0.919386 | − | 0.393356i | \(-0.871314\pi\) |
0.992890 | + | 0.119037i | \(0.0379808\pi\) | |||||||
\(678\) | −37.2450 | − | 26.0287i | −1.43039 | − | 0.999627i | ||||
\(679\) | 7.04372 | + | 22.1786i | 0.270313 | + | 0.851135i | ||||
\(680\) | −1.44643 | + | 5.45774i | −0.0554679 | + | 0.209295i | ||||
\(681\) | 23.4134 | − | 13.5177i | 0.897203 | − | 0.518001i | ||||
\(682\) | −39.0827 | + | 18.2679i | −1.49655 | + | 0.699515i | ||||
\(683\) | −1.90507 | + | 0.510463i | −0.0728956 | + | 0.0195323i | −0.295083 | − | 0.955472i | \(-0.595347\pi\) |
0.222187 | + | 0.975004i | \(0.428680\pi\) | |||||||
\(684\) | −0.235136 | + | 0.0210034i | −0.00899065 | + | 0.000803084i | ||||
\(685\) | −12.3549 | + | 12.3549i | −0.472058 | + | 0.472058i | ||||
\(686\) | −26.1578 | + | 1.32984i | −0.998710 | + | 0.0507735i | ||||
\(687\) | 24.0695i | 0.918310i | ||||||||
\(688\) | 9.14237 | + | 19.4209i | 0.348550 | + | 0.740413i | ||||
\(689\) | −39.4030 | − | 22.7493i | −1.50113 | − | 0.866680i | ||||
\(690\) | −3.53744 | − | 1.28387i | −0.134668 | − | 0.0488763i | ||||
\(691\) | −0.0579544 | + | 0.216289i | −0.00220469 | + | 0.00822801i | −0.967019 | − | 0.254703i | \(-0.918022\pi\) |
0.964815 | + | 0.262931i | \(0.0846891\pi\) | |||||||
\(692\) | −16.2224 | + | 34.9551i | −0.616682 | + | 1.32879i | ||||
\(693\) | −0.118090 | + | 0.228007i | −0.00448586 | + | 0.00866127i | ||||
\(694\) | 10.0690 | + | 7.03671i | 0.382213 | + | 0.267110i | ||||
\(695\) | 3.26104 | + | 5.64829i | 0.123698 | + | 0.214252i | ||||
\(696\) | −1.45675 | + | 0.00397994i | −0.0552180 | + | 0.000150859i | ||||
\(697\) | −11.5235 | − | 6.65309i | −0.436484 | − | 0.252004i | ||||
\(698\) | 31.2186 | + | 2.70263i | 1.18164 | + | 0.102296i | ||||
\(699\) | 15.1177 | − | 15.1177i | 0.571804 | − | 0.571804i | ||||
\(700\) | −8.88042 | + | 21.6783i | −0.335648 | + | 0.819362i | ||||
\(701\) | 18.2761 | + | 18.2761i | 0.690279 | + | 0.690279i | 0.962293 | − | 0.272014i | \(-0.0876898\pi\) |
−0.272014 | + | 0.962293i | \(0.587690\pi\) | |||||||
\(702\) | 22.9496 | − | 19.2927i | 0.866178 | − | 0.728155i | ||||
\(703\) | 11.0192 | − | 19.0858i | 0.415596 | − | 0.719833i | ||||
\(704\) | −9.28898 | + | 35.4404i | −0.350092 | + | 1.33571i | ||||
\(705\) | 5.78711 | − | 3.34119i | 0.217955 | − | 0.125837i | ||||
\(706\) | −6.14066 | − | 34.6409i | −0.231107 | − | 1.30373i | ||||
\(707\) | 5.14054 | − | 3.28997i | 0.193330 | − | 0.123732i | ||||
\(708\) | 17.6823 | − | 6.47232i | 0.664541 | − | 0.243245i | ||||
\(709\) | −1.66489 | − | 0.446105i | −0.0625261 | − | 0.0167538i | 0.227420 | − | 0.973797i | \(-0.426971\pi\) |
−0.289946 | + | 0.957043i | \(0.593638\pi\) | |||||||
\(710\) | 7.03459 | − | 3.28808i | 0.264003 | − | 0.123400i | ||||
\(711\) | 0.159808 | − | 0.276795i | 0.00599325 | − | 0.0103806i | ||||
\(712\) | −19.2605 | − | 11.0500i | −0.721818 | − | 0.414117i | ||||
\(713\) | −13.4743 | −0.504617 | ||||||||
\(714\) | 11.6270 | + | 12.6126i | 0.435130 | + | 0.472016i | ||||
\(715\) | 10.0351 | + | 10.0351i | 0.375290 | + | 0.375290i | ||||
\(716\) | −14.5001 | + | 1.29521i | −0.541894 | + | 0.0484043i | ||||
\(717\) | 3.24003 | + | 12.0920i | 0.121001 | + | 0.451582i | ||||
\(718\) | −4.17695 | + | 11.5087i | −0.155883 | + | 0.429500i | ||||
\(719\) | −25.5064 | − | 44.1784i | −0.951229 | − | 1.64758i | −0.742771 | − | 0.669545i | \(-0.766489\pi\) |
−0.208457 | − | 0.978031i | \(-0.566844\pi\) | |||||||
\(720\) | −0.00535844 | + | 0.0639285i | −0.000199697 | + | 0.00238248i | ||||
\(721\) | 24.3008 | − | 26.6309i | 0.905009 | − | 0.991785i | ||||
\(722\) | 2.96813 | + | 16.7439i | 0.110462 | + | 0.623144i | ||||
\(723\) | 40.2045 | + | 10.7728i | 1.49522 | + | 0.400644i | ||||
\(724\) | 12.9493 | − | 9.10238i | 0.481256 | − | 0.338287i | ||||
\(725\) | −0.339532 | − | 1.26715i | −0.0126099 | − | 0.0470609i | ||||
\(726\) | −24.4249 | − | 2.11449i | −0.906494 | − | 0.0784762i | ||||
\(727\) | 31.5017i | 1.16833i | 0.811634 | + | 0.584166i | \(0.198578\pi\) | ||||
−0.811634 | + | 0.584166i | \(0.801422\pi\) | |||||||
\(728\) | −1.48394 | − | 30.6049i | −0.0549986 | − | 1.13429i | ||||
\(729\) | − | 26.8066i | − | 0.992837i | ||||||
\(730\) | 0.608580 | − | 7.02983i | 0.0225246 | − | 0.260186i | ||||
\(731\) | 3.66342 | + | 13.6721i | 0.135496 | + | 0.505680i | ||||
\(732\) | 3.61689 | − | 20.7332i | 0.133684 | − | 0.766320i | ||||
\(733\) | 40.3371 | + | 10.8083i | 1.48988 | + | 0.399213i | 0.909698 | − | 0.415271i | \(-0.136313\pi\) |
0.580186 | + | 0.814484i | \(0.302980\pi\) | |||||||
\(734\) | −33.3284 | + | 5.90799i | −1.23017 | + | 0.218068i | ||||
\(735\) | −5.31304 | − | 7.52090i | −0.195974 | − | 0.277413i | ||||
\(736\) | −7.31541 | + | 8.79923i | −0.269650 | + | 0.324344i | ||||
\(737\) | 21.9047 | + | 37.9400i | 0.806869 | + | 1.39754i | ||||
\(738\) | −0.142117 | − | 0.0515798i | −0.00523139 | − | 0.00189868i | ||||
\(739\) | 4.66207 | + | 17.3991i | 0.171497 | + | 0.640036i | 0.997122 | + | 0.0758162i | \(0.0241562\pi\) |
−0.825625 | + | 0.564220i | \(0.809177\pi\) | |||||||
\(740\) | −4.59478 | − | 3.84124i | −0.168908 | − | 0.141207i | ||||
\(741\) | 28.0306 | + | 28.0306i | 1.02973 | + | 1.02973i | ||||
\(742\) | −12.3837 | + | 39.6901i | −0.454620 | + | 1.45707i | ||||
\(743\) | −23.0128 | −0.844256 | −0.422128 | − | 0.906536i | \(-0.638717\pi\) | ||||
−0.422128 | + | 0.906536i | \(0.638717\pi\) | |||||||
\(744\) | 8.56203 | + | 31.6083i | 0.313899 | + | 1.15882i | ||||
\(745\) | 4.57156 | − | 7.91818i | 0.167489 | − | 0.290100i | ||||
\(746\) | 1.41702 | + | 3.03159i | 0.0518806 | + | 0.110994i | ||||
\(747\) | 0.231745 | + | 0.0620958i | 0.00847910 | + | 0.00227197i | ||||
\(748\) | −10.1702 | + | 21.9142i | −0.371860 | + | 0.801264i | ||||
\(749\) | 0.571271 | + | 12.4871i | 0.0208738 | + | 0.456269i | ||||
\(750\) | −17.2687 | + | 3.06116i | −0.630565 | + | 0.111778i | ||||
\(751\) | −0.399765 | + | 0.230804i | −0.0145876 | + | 0.00842217i | −0.507276 | − | 0.861784i | \(-0.669348\pi\) |
0.492688 | + | 0.870206i | \(0.336014\pi\) | |||||||
\(752\) | −3.60130 | − | 19.9977i | −0.131326 | − | 0.729242i | ||||
\(753\) | 7.51284 | − | 13.0126i | 0.273783 | − | 0.474206i | ||||
\(754\) | 1.10411 | + | 1.31340i | 0.0402095 | + | 0.0478312i | ||||
\(755\) | 0.870885 | + | 0.870885i | 0.0316947 | + | 0.0316947i | ||||
\(756\) | −21.8009 | − | 16.5935i | −0.792889 | − | 0.603501i | ||||
\(757\) | −5.23204 | + | 5.23204i | −0.190162 | + | 0.190162i | −0.795766 | − | 0.605604i | \(-0.792931\pi\) |
0.605604 | + | 0.795766i | \(0.292931\pi\) | |||||||
\(758\) | −0.922202 | + | 10.6525i | −0.0334959 | + | 0.386918i | ||||
\(759\) | −13.9450 | − | 8.05117i | −0.506173 | − | 0.292239i | ||||
\(760\) | 11.9230 | − | 0.0325744i | 0.432493 | − | 0.00118160i | ||||
\(761\) | −10.6052 | − | 18.3687i | −0.384437 | − | 0.665864i | 0.607254 | − | 0.794508i | \(-0.292271\pi\) |
−0.991691 | + | 0.128644i | \(0.958938\pi\) | |||||||
\(762\) | −18.3990 | + | 26.3275i | −0.666526 | + | 0.953746i | ||||
\(763\) | 18.3625 | − | 11.7521i | 0.664767 | − | 0.425454i | ||||
\(764\) | −3.27634 | − | 8.95091i | −0.118534 | − | 0.323833i | ||||
\(765\) | −0.0109488 | + | 0.0408616i | −0.000395856 | + | 0.00147735i | ||||
\(766\) | 12.1295 | − | 33.4202i | 0.438257 | − | 1.20752i | ||||
\(767\) | −19.2070 | − | 11.0892i | −0.693525 | − | 0.400407i | ||||
\(768\) | 25.2898 | + | 11.5693i | 0.912569 | + | 0.417471i | ||||
\(769\) | − | 10.8533i | − | 0.391379i | −0.980666 | − | 0.195689i | \(-0.937306\pi\) | ||
0.980666 | − | 0.195689i | \(-0.0626944\pi\) | |||||||
\(770\) | 6.93521 | − | 10.9584i | 0.249928 | − | 0.394912i | ||||
\(771\) | −28.0029 | + | 28.0029i | −1.00850 | + | 1.00850i | ||||
\(772\) | 8.19537 | + | 6.85133i | 0.294958 | + | 0.246585i | ||||
\(773\) | −46.9962 | + | 12.5926i | −1.69034 | + | 0.452924i | −0.970476 | − | 0.241196i | \(-0.922460\pi\) |
−0.719859 | + | 0.694120i | \(0.755794\pi\) | |||||||
\(774\) | 0.0681002 | + | 0.145695i | 0.00244781 | + | 0.00523689i | ||||
\(775\) | −25.5391 | + | 14.7450i | −0.917390 | + | 0.529656i | ||||
\(776\) | 12.4973 | + | 21.5100i | 0.448626 | + | 0.772163i | ||||
\(777\) | −17.3420 | + | 5.50766i | −0.622140 | + | 0.197586i | ||||
\(778\) | 5.09927 | − | 7.29665i | 0.182818 | − | 0.261597i | ||||
\(779\) | −7.27251 | + | 27.1414i | −0.260565 | + | 0.972441i | ||||
\(780\) | 8.81307 | − | 6.19493i | 0.315558 | − | 0.221814i | ||||
\(781\) | 32.0938 | − | 8.59952i | 1.14841 | − | 0.307715i | ||||
\(782\) | −5.77587 | + | 4.85550i | −0.206545 | + | 0.173632i | ||||
\(783\) | 1.53421 | 0.0548282 | ||||||||
\(784\) | −26.9885 | + | 7.45795i | −0.963875 | + | 0.266355i | ||||
\(785\) | −18.2049 | −0.649762 | ||||||||
\(786\) | 16.1670 | − | 13.5909i | 0.576659 | − | 0.484770i | ||||
\(787\) | −12.9614 | + | 3.47299i | −0.462023 | + | 0.123799i | −0.482319 | − | 0.875995i | \(-0.660206\pi\) |
0.0202968 | + | 0.999794i | \(0.493539\pi\) | |||||||
\(788\) | −18.9905 | − | 27.0163i | −0.676508 | − | 0.962417i | ||||
\(789\) | −4.75770 | + | 17.7560i | −0.169379 | + | 0.632130i | ||||
\(790\) | −9.24688 | + | 13.2315i | −0.328989 | + | 0.470757i | ||||
\(791\) | 46.6127 | − | 14.8038i | 1.65736 | − | 0.526363i | ||||
\(792\) | −0.0703216 | + | 0.265341i | −0.00249877 | + | 0.00942850i | ||||
\(793\) | −21.4682 | + | 12.3946i | −0.762356 | + | 0.440147i | ||||
\(794\) | −10.8132 | − | 23.1339i | −0.383746 | − | 0.820993i | ||||
\(795\) | −14.1194 | + | 3.78327i | −0.500762 | + | 0.134179i | ||||
\(796\) | 13.3743 | − | 15.9980i | 0.474040 | − | 0.567033i | ||||
\(797\) | 6.22856 | − | 6.22856i | 0.220627 | − | 0.220627i | −0.588135 | − | 0.808762i | \(-0.700138\pi\) |
0.808762 | + | 0.588135i | \(0.200138\pi\) | |||||||
\(798\) | 19.3719 | − | 30.6097i | 0.685758 | − | 1.08357i | ||||
\(799\) | − | 13.3989i | − | 0.474017i | ||||||
\(800\) | −4.23653 | + | 24.6833i | −0.149784 | + | 0.872685i | ||||
\(801\) | −0.144080 | − | 0.0831847i | −0.00509082 | − | 0.00293919i | ||||
\(802\) | −7.61190 | + | 20.9729i | −0.268786 | + | 0.740580i | ||||
\(803\) | 7.81434 | − | 29.1635i | 0.275762 | − | 1.02916i | ||||
\(804\) | 31.2282 | − | 11.4306i | 1.10133 | − | 0.403126i | ||||
\(805\) | 3.41158 | − | 2.18342i | 0.120242 | − | 0.0769555i | ||||
\(806\) | 22.0948 | − | 31.6159i | 0.778258 | − | 1.11362i | ||||
\(807\) | 9.00253 | + | 15.5928i | 0.316904 | + | 0.548894i | ||||
\(808\) | 4.60096 | − | 4.62617i | 0.161861 | − | 0.162748i | ||||
\(809\) | −1.49336 | − | 0.862190i | −0.0525036 | − | 0.0303130i | 0.473518 | − | 0.880784i | \(-0.342984\pi\) |
−0.526022 | + | 0.850471i | \(0.676317\pi\) | |||||||
\(810\) | 0.836634 | − | 9.66413i | 0.0293963 | − | 0.339563i | ||||
\(811\) | 29.5809 | − | 29.5809i | 1.03872 | − | 1.03872i | 0.0395050 | − | 0.999219i | \(-0.487422\pi\) |
0.999219 | − | 0.0395050i | \(-0.0125781\pi\) | |||||||
\(812\) | 0.949642 | − | 1.24766i | 0.0333259 | − | 0.0437842i | ||||
\(813\) | −30.3142 | − | 30.3142i | −1.06317 | − | 1.06317i | ||||
\(814\) | −16.4899 | − | 19.6156i | −0.577970 | − | 0.687525i | ||||
\(815\) | −3.45058 | + | 5.97657i | −0.120868 | + | 0.209350i | ||||
\(816\) | 15.0603 | + | 10.4638i | 0.527216 | + | 0.366306i | ||||
\(817\) | 25.8854 | − | 14.9450i | 0.905617 | − | 0.522858i | ||||
\(818\) | 41.7335 | − | 7.39793i | 1.45918 | − | 0.258663i | ||||
\(819\) | −0.0104917 | − | 0.229333i | −0.000366611 | − | 0.00801354i | ||||
\(820\) | 6.92631 | + | 3.21444i | 0.241877 | + | 0.112253i | ||||
\(821\) | 36.4661 | + | 9.77105i | 1.27267 | + | 0.341012i | 0.831055 | − | 0.556190i | \(-0.187737\pi\) |
0.441620 | + | 0.897202i | \(0.354404\pi\) | |||||||
\(822\) | 24.0306 | + | 51.4114i | 0.838162 | + | 1.79318i | ||||
\(823\) | 18.3778 | − | 31.8313i | 0.640609 | − | 1.10957i | −0.344688 | − | 0.938717i | \(-0.612015\pi\) |
0.985297 | − | 0.170850i | \(-0.0546515\pi\) | |||||||
\(824\) | 19.1792 | − | 33.4300i | 0.668140 | − | 1.16459i | ||||
\(825\) | −35.2417 | −1.22696 | ||||||||
\(826\) | −6.03645 | + | 19.3470i | −0.210035 | + | 0.673168i | ||||
\(827\) | 25.1791 | + | 25.1791i | 0.875565 | + | 0.875565i | 0.993072 | − | 0.117507i | \(-0.0374904\pi\) |
−0.117507 | + | 0.993072i | \(0.537490\pi\) | |||||||
\(828\) | −0.0549897 | + | 0.0657771i | −0.00191102 | + | 0.00228591i | ||||
\(829\) | 6.08475 | + | 22.7086i | 0.211332 | + | 0.788702i | 0.987426 | + | 0.158084i | \(0.0505317\pi\) |
−0.776094 | + | 0.630618i | \(0.782802\pi\) | |||||||
\(830\) | −11.3904 | − | 4.13401i | −0.395365 | − | 0.143494i | ||||
\(831\) | 9.32215 | + | 16.1464i | 0.323382 | + | 0.560114i | ||||
\(832\) | −8.65076 | − | 31.5935i | −0.299911 | − | 1.09531i | ||||
\(833\) | −18.3864 | + | 1.68584i | −0.637051 | + | 0.0584110i | ||||
\(834\) | 20.8584 | − | 3.69749i | 0.722267 | − | 0.128034i | ||||
\(835\) | 2.33015 | + | 0.624362i | 0.0806382 | + | 0.0216069i | ||||
\(836\) | 50.2583 | + | 8.76753i | 1.73822 | + | 0.303231i | ||||
\(837\) | −8.92628 | − | 33.3133i | −0.308537 | − | 1.15148i | ||||
\(838\) | 3.28919 | − | 37.9941i | 0.113623 | − | 1.31248i | ||||
\(839\) | − | 13.7267i | − | 0.473899i | −0.971522 | − | 0.236949i | \(-0.923852\pi\) | ||
0.971522 | − | 0.236949i | \(-0.0761475\pi\) | |||||||
\(840\) | −7.28974 | − | 6.61552i | −0.251520 | − | 0.228257i | ||||
\(841\) | − | 28.9122i | − | 0.996972i | ||||||
\(842\) | −2.23396 | − | 0.193396i | −0.0769873 | − | 0.00666487i | ||||
\(843\) | −2.90793 | − | 10.8525i | −0.100154 | − | 0.373782i | ||||
\(844\) | −1.16543 | − | 1.65798i | −0.0401159 | − | 0.0570699i | ||||
\(845\) | −2.75264 | − | 0.737569i | −0.0946938 | − | 0.0253731i | ||||
\(846\) | −0.0265728 | − | 0.149903i | −0.000913592 | − | 0.00515379i | ||||
\(847\) | 17.7866 | − | 19.4921i | 0.611155 | − | 0.669755i | ||||
\(848\) | −3.71257 | + | 44.2925i | −0.127490 | + | 1.52101i | ||||
\(849\) | 17.1244 | + | 29.6603i | 0.587708 | + | 1.01794i | ||||
\(850\) | −5.63413 | + | 15.5236i | −0.193249 | + | 0.532456i | ||||
\(851\) | −2.07151 | − | 7.73099i | −0.0710106 | − | 0.265015i | ||||
\(852\) | −2.24391 | − | 25.1209i | −0.0768749 | − | 0.860628i | ||||
\(853\) | 2.88131 | + | 2.88131i | 0.0986542 | + | 0.0986542i | 0.754711 | − | 0.656057i | \(-0.227777\pi\) |
−0.656057 | + | 0.754711i | \(0.727777\pi\) | |||||||
\(854\) | 15.3539 | + | 16.6554i | 0.525400 | + | 0.569938i | ||||
\(855\) | 0.0893318 | 0.00305508 | ||||||||
\(856\) | 3.49391 | + | 12.8984i | 0.119419 | + | 0.440858i | ||||
\(857\) | −7.75242 | + | 13.4276i | −0.264817 | + | 0.458677i | −0.967516 | − | 0.252811i | \(-0.918645\pi\) |
0.702698 | + | 0.711488i | \(0.251978\pi\) | |||||||
\(858\) | 41.7579 | − | 19.5184i | 1.42559 | − | 0.666346i | ||||
\(859\) | 23.6842 | + | 6.34616i | 0.808094 | + | 0.216528i | 0.639135 | − | 0.769095i | \(-0.279293\pi\) |
0.168960 | + | 0.985623i | \(0.445959\pi\) | |||||||
\(860\) | −2.79199 | − | 7.62767i | −0.0952060 | − | 0.260101i | ||||
\(861\) | 19.5401 | − | 12.5057i | 0.665924 | − | 0.426194i | ||||
\(862\) | 4.05835 | + | 22.8941i | 0.138228 | + | 0.779776i | ||||
\(863\) | −40.7734 | + | 23.5405i | −1.38794 | + | 0.801329i | −0.993083 | − | 0.117412i | \(-0.962540\pi\) |
−0.394860 | + | 0.918741i | \(0.629207\pi\) | |||||||
\(864\) | −26.6011 | − | 12.2571i | −0.904987 | − | 0.416996i | ||||
\(865\) | 7.29118 | − | 12.6287i | 0.247907 | − | 0.429388i | ||||
\(866\) | 37.2072 | − | 31.2784i | 1.26435 | − | 1.06288i | ||||
\(867\) | −12.3433 | − | 12.3433i | −0.419199 | − | 0.419199i | ||||
\(868\) | −32.6164 | − | 13.3612i | −1.10707 | − | 0.453507i | ||||
\(869\) | −48.8410 | + | 48.8410i | −1.65682 | + | 1.65682i | ||||
\(870\) | 0.549195 | + | 0.0475444i | 0.0186195 | + | 0.00161191i | ||||
\(871\) | −33.9210 | − | 19.5843i | −1.14937 | − | 0.663589i | ||||
\(872\) | 16.4351 | − | 16.5251i | 0.556562 | − | 0.559612i | ||||
\(873\) | 0.0931935 | + | 0.161416i | 0.00315412 | + | 0.00546310i | ||||
\(874\) | 13.0608 | + | 9.12759i | 0.441790 | + | 0.308745i | ||||
\(875\) | 8.68134 | − | 16.7619i | 0.293483 | − | 0.566655i | ||||
\(876\) | −20.7885 | − | 9.64778i | −0.702378 | − | 0.325968i | ||||
\(877\) | 5.24273 | − | 19.5661i | 0.177034 | − | 0.660701i | −0.819162 | − | 0.573563i | \(-0.805561\pi\) |
0.996196 | − | 0.0871389i | \(-0.0277724\pi\) | |||||||
\(878\) | −12.8527 | − | 4.66475i | −0.433758 | − | 0.157428i | ||||
\(879\) | −6.30964 | − | 3.64287i | −0.212819 | − | 0.122871i | ||||
\(880\) | 4.69426 | − | 13.0450i | 0.158244 | − | 0.439748i | ||||
\(881\) | 29.7191i | 1.00126i | 0.865660 | + | 0.500632i | \(0.166899\pi\) | ||||
−0.865660 | + | 0.500632i | \(0.833101\pi\) | |||||||
\(882\) | −0.202360 | + | 0.0553250i | −0.00681380 | + | 0.00186289i | ||||
\(883\) | −10.1351 | + | 10.1351i | −0.341074 | + | 0.341074i | −0.856771 | − | 0.515697i | \(-0.827533\pi\) |
0.515697 | + | 0.856771i | \(0.327533\pi\) | |||||||
\(884\) | −1.92175 | − | 21.5144i | −0.0646356 | − | 0.723606i | ||||
\(885\) | −6.88249 | + | 1.84416i | −0.231352 | + | 0.0619907i | ||||
\(886\) | −44.5623 | + | 20.8292i | −1.49710 | + | 0.699770i | ||||
\(887\) | −29.8863 | + | 17.2549i | −1.00348 | + | 0.579362i | −0.909277 | − | 0.416191i | \(-0.863365\pi\) |
−0.0942069 | + | 0.995553i | \(0.530032\pi\) | |||||||
\(888\) | −16.8192 | + | 9.77193i | −0.564415 | + | 0.327925i | ||||
\(889\) | −10.4644 | − | 32.9494i | −0.350966 | − | 1.10509i | ||||
\(890\) | 6.88742 | + | 4.81328i | 0.230867 | + | 0.161342i | ||||
\(891\) | 10.7426 | − | 40.0920i | 0.359891 | − | 1.34313i | ||||
\(892\) | 4.44007 | − | 25.4519i | 0.148665 | − | 0.852192i | ||||
\(893\) | −27.3304 | + | 7.32316i | −0.914577 | + | 0.245060i | ||||
\(894\) | −19.1094 | − | 22.7316i | −0.639113 | − | 0.760258i | ||||
\(895\) | 5.50881 | 0.184139 | ||||||||
\(896\) | −26.4333 | + | 14.0457i | −0.883073 | + | 0.469235i | ||||
\(897\) | 14.3966 | 0.480689 | ||||||||
\(898\) | 32.3124 | + | 38.4373i | 1.07828 | + | 1.28267i | ||||
\(899\) | 1.90651 | − | 0.510848i | 0.0635857 | − | 0.0170377i | ||||
\(900\) | −0.0322468 | + | 0.184849i | −0.00107489 | + | 0.00616162i | ||||
\(901\) | −7.58584 | + | 28.3107i | −0.252721 | + | 0.943168i | ||||
\(902\) | 26.7812 | + | 18.7160i | 0.891715 | + | 0.623176i | ||||
\(903\) | −24.1042 | − | 5.29111i | −0.802138 | − | 0.176077i | ||||
\(904\) | 45.2076 | − | 26.2655i | 1.50358 | − | 0.873579i | ||||
\(905\) | −5.18714 | + | 2.99479i | −0.172426 | + | 0.0995503i | ||||
\(906\) | 3.62393 | − | 1.69389i | 0.120397 | − | 0.0562756i | ||||
\(907\) | −8.06405 | + | 2.16076i | −0.267762 | + | 0.0717467i | −0.390202 | − | 0.920729i | \(-0.627595\pi\) |
0.122440 | + | 0.992476i | \(0.460928\pi\) | |||||||
\(908\) | 2.76770 | + | 30.9848i | 0.0918492 | + | 1.02827i | ||||
\(909\) | 0.0345667 | − | 0.0345667i | 0.00114650 | − | 0.00114650i | ||||
\(910\) | −0.471068 | + | 11.5852i | −0.0156157 | + | 0.384046i | ||||
\(911\) | 8.93090i | 0.295894i | 0.988995 | + | 0.147947i | \(0.0472665\pi\) | ||||
−0.988995 | + | 0.147947i | \(0.952734\pi\) | |||||||
\(912\) | 13.1124 | − | 36.4383i | 0.434193 | − | 1.20659i | ||||
\(913\) | −44.9023 | − | 25.9244i | −1.48605 | − | 0.857972i | ||||
\(914\) | 40.0425 | + | 14.5330i | 1.32449 | + | 0.480708i | ||||
\(915\) | −2.06126 | + | 7.69273i | −0.0681432 | + | 0.254314i | ||||
\(916\) | −25.1219 | − | 11.6589i | −0.830050 | − | 0.385220i | ||||
\(917\) | 1.03891 | + | 22.7091i | 0.0343080 | + | 0.749919i | ||||
\(918\) | −15.8309 | − | 11.0634i | −0.522496 | − | 0.365147i | ||||
\(919\) | −26.6631 | − | 46.1818i | −0.879533 | − | 1.52340i | −0.851854 | − | 0.523779i | \(-0.824522\pi\) |
−0.0276794 | − | 0.999617i | \(-0.508812\pi\) | |||||||
\(920\) | 3.05348 | − | 3.07021i | 0.100670 | − | 0.101222i | ||||
\(921\) | −18.3286 | − | 10.5820i | −0.603946 | − | 0.348689i | ||||
\(922\) | 4.74118 | + | 0.410449i | 0.156143 | + | 0.0135174i | ||||
\(923\) | −21.0055 | + | 21.0055i | −0.691406 | + | 0.691406i | ||||
\(924\) | −25.7723 | − | 33.3169i | −0.847846 | − | 1.09604i | ||||
\(925\) | −12.3864 | − | 12.3864i | −0.407262 | − | 0.407262i | ||||
\(926\) | 1.33501 | − | 1.12228i | 0.0438712 | − | 0.0368804i | ||||
\(927\) | 0.144382 | − | 0.250076i | 0.00474211 | − | 0.00821358i | ||||
\(928\) | 0.701472 | − | 1.52237i | 0.0230269 | − | 0.0499743i | ||||
\(929\) | 33.5814 | − | 19.3882i | 1.10177 | − | 0.636107i | 0.165084 | − | 0.986280i | \(-0.447211\pi\) |
0.936685 | + | 0.350173i | \(0.113877\pi\) | |||||||
\(930\) | −2.16294 | − | 12.2017i | −0.0709257 | − | 0.400108i | ||||
\(931\) | 13.4878 | + | 36.5824i | 0.442045 | + | 1.19894i | ||||
\(932\) | 8.45592 | + | 23.1014i | 0.276983 | + | 0.756713i | ||||
\(933\) | 9.67386 | + | 2.59210i | 0.316708 | + | 0.0848617i | ||||
\(934\) | 40.8507 | − | 19.0943i | 1.33668 | − | 0.624785i | ||||
\(935\) | 4.57103 | − | 7.91725i | 0.149489 | − | 0.258922i | ||||
\(936\) | −0.0641677 | − | 0.236887i | −0.00209739 | − | 0.00774288i | ||||
\(937\) | −14.3493 | −0.468771 | −0.234385 | − | 0.972144i | \(-0.575308\pi\) | ||||
−0.234385 | + | 0.972144i | \(0.575308\pi\) | |||||||
\(938\) | −10.6608 | + | 34.1682i | −0.348088 | + | 1.11563i | ||||
\(939\) | 9.87228 | + | 9.87228i | 0.322170 | + | 0.322170i | ||||
\(940\) | 0.684094 | + | 7.65855i | 0.0223127 | + | 0.249794i | ||||
\(941\) | 8.50975 | + | 31.7588i | 0.277410 | + | 1.03531i | 0.954209 | + | 0.299141i | \(0.0966999\pi\) |
−0.676799 | + | 0.736168i | \(0.736633\pi\) | |||||||
\(942\) | −20.1728 | + | 55.5817i | −0.657265 | + | 1.81095i | ||||
\(943\) | 5.10236 | + | 8.83754i | 0.166156 | + | 0.287790i | ||||
\(944\) | −1.80969 | + | 21.5904i | −0.0589005 | + | 0.702709i | ||||
\(945\) | 7.65826 | + | 6.98820i | 0.249123 | + | 0.227326i | ||||
\(946\) | −6.06642 | − | 34.2221i | −0.197236 | − | 1.11266i | ||||
\(947\) | −48.8089 | − | 13.0783i | −1.58608 | − | 0.424988i | −0.645276 | − | 0.763950i | \(-0.723258\pi\) |
−0.940800 | + | 0.338962i | \(0.889924\pi\) | |||||||
\(948\) | 30.1510 | + | 42.8936i | 0.979258 | + | 1.39312i | ||||
\(949\) | 6.98657 | + | 26.0742i | 0.226794 | + | 0.846405i | ||||
\(950\) | 34.7437 | + | 3.00780i | 1.12724 | + | 0.0975860i | ||||
\(951\) | 16.2167i | 0.525861i | ||||||||
\(952\) | −18.7960 | + | 6.02602i | −0.609181 | + | 0.195304i | ||||
\(953\) | − | 12.5441i | − | 0.406345i | −0.979143 | − | 0.203172i | \(-0.934875\pi\) | ||
0.979143 | − | 0.203172i | \(-0.0651252\pi\) | |||||||
\(954\) | −0.0287224 | + | 0.331779i | −0.000929923 | + | 0.0107417i | ||||
\(955\) | 0.933528 | + | 3.48398i | 0.0302083 | + | 0.112739i | ||||
\(956\) | −14.1900 | − | 2.47545i | −0.458939 | − | 0.0800617i | ||||
\(957\) | 2.27836 | + | 0.610485i | 0.0736489 | + | 0.0197342i | ||||
\(958\) | −18.5095 | + | 3.28110i | −0.598013 | + | 0.106008i | ||||
\(959\) | −59.6616 | − | 13.0963i | −1.92657 | − | 0.422901i | ||||
\(960\) | −9.14244 | − | 5.21199i | −0.295071 | − | 0.168216i | ||||
\(961\) | −6.68477 | − | 11.5784i | −0.215638 | − | 0.373496i | ||||
\(962\) | 21.5367 | + | 7.81652i | 0.694372 | + | 0.252015i | ||||
\(963\) | 0.0259135 | + | 0.0967106i | 0.000835052 | + | 0.00311646i | ||||
\(964\) | −30.7182 | + | 36.7442i | −0.989365 | + | 1.18345i | ||||
\(965\) | −2.85823 | − | 2.85823i | −0.0920098 | − | 0.0920098i | ||||
\(966\) | −2.88588 | − | 12.8354i | −0.0928518 | − | 0.412971i | ||||
\(967\) | −19.7015 | −0.633559 | −0.316779 | − | 0.948499i | \(-0.602601\pi\) | ||||
−0.316779 | + | 0.948499i | \(0.602601\pi\) | |||||||
\(968\) | 14.0380 | − | 24.4686i | 0.451197 | − | 0.786450i | ||||
\(969\) | 12.7681 | − | 22.1150i | 0.410171 | − | 0.710437i | ||||
\(970\) | −3.98614 | − | 8.52802i | −0.127987 | − | 0.273818i | ||||
\(971\) | −19.1999 | − | 5.14459i | −0.616153 | − | 0.165098i | −0.0627745 | − | 0.998028i | \(-0.519995\pi\) |
−0.553378 | + | 0.832930i | \(0.686662\pi\) | |||||||
\(972\) | −0.399523 | − | 0.185415i | −0.0128147 | − | 0.00594720i | ||||
\(973\) | −10.4859 | + | 20.2462i | −0.336163 | + | 0.649063i | ||||
\(974\) | −1.78810 | + | 0.316969i | −0.0572943 | + | 0.0101563i | ||||
\(975\) | 27.2872 | − | 15.7543i | 0.873890 | − | 0.504541i | ||||
\(976\) | 19.8877 | + | 13.8178i | 0.636590 | + | 0.442298i | ||||
\(977\) | −22.0366 | + | 38.1686i | −0.705015 | + | 1.22112i | 0.261671 | + | 0.965157i | \(0.415726\pi\) |
−0.966686 | + | 0.255965i | \(0.917607\pi\) | |||||||
\(978\) | 14.4236 | + | 17.1576i | 0.461215 | + | 0.548640i | ||||
\(979\) | 25.4232 | + | 25.4232i | 0.812530 | + | 0.812530i | ||||
\(980\) | 10.4233 | − | 1.90234i | 0.332959 | − | 0.0607679i | ||||
\(981\) | 0.123475 | − | 0.123475i | 0.00394227 | − | 0.00394227i | ||||
\(982\) | 1.22187 | − | 14.1140i | 0.0389913 | − | 0.450397i | ||||
\(983\) | 38.9733 | + | 22.5013i | 1.24306 | + | 0.717678i | 0.969715 | − | 0.244239i | \(-0.0785381\pi\) |
0.273340 | + | 0.961917i | \(0.411871\pi\) | |||||||
\(984\) | 17.4891 | − | 17.5849i | 0.557531 | − | 0.560585i | ||||
\(985\) | 6.24810 | + | 10.8220i | 0.199081 | + | 0.344818i | ||||
\(986\) | 0.633156 | − | 0.905995i | 0.0201638 | − | 0.0288528i | ||||
\(987\) | 20.7438 | + | 10.7437i | 0.660282 | + | 0.341974i | ||||
\(988\) | −42.8337 | + | 15.6786i | −1.36272 | + | 0.498803i | ||||
\(989\) | 2.80953 | − | 10.4853i | 0.0893379 | − | 0.333414i | ||||
\(990\) | 0.0354380 | − | 0.0976418i | 0.00112629 | − | 0.00310326i | ||||
\(991\) | 32.1531 | + | 18.5636i | 1.02138 | + | 0.589693i | 0.914503 | − | 0.404579i | \(-0.132582\pi\) |
0.106875 | + | 0.994272i | \(0.465915\pi\) | |||||||
\(992\) | −37.1375 | − | 6.37413i | −1.17912 | − | 0.202379i | ||||
\(993\) | 8.92622i | 0.283265i | ||||||||
\(994\) | 22.9383 | + | 14.5169i | 0.727558 | + | 0.460448i | ||||
\(995\) | −5.57949 | + | 5.57949i | −0.176882 | + | 0.176882i | ||||
\(996\) | −25.2432 | + | 30.1952i | −0.799861 | + | 0.956771i | ||||
\(997\) | 55.7466 | − | 14.9373i | 1.76551 | − | 0.473067i | 0.777689 | − | 0.628649i | \(-0.216392\pi\) |
0.987823 | + | 0.155582i | \(0.0497253\pi\) | |||||||
\(998\) | 13.5998 | + | 29.0957i | 0.430495 | + | 0.921009i | ||||
\(999\) | 17.7415 | − | 10.2430i | 0.561316 | − | 0.324076i |
(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 | 112.2.v.a.3.5 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.4 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.6 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.26 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.25 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.6 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.5 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.11 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.4 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.4 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.4 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.6 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.11 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.4 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.4 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.11 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.4 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.26 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.4 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.6 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.25 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.11 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.5 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.5 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.5 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.6 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.6 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.5 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.4 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.4 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.4 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.4 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.25 | 56 | 7.4 | even | 3 | |||
784.2.j.a.195.26 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.587.25 | 56 | 112.59 | even | 12 | |||
784.2.j.a.587.26 | 56 | 112.11 | odd | 12 | |||
784.2.w.f.19.6 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.5 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.5 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.6 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.11 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.11 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.11 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.11 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.4 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.4 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.4 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.4 | 56 | 56.5 | odd | 6 |