Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(45,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.45");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.ba (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 45.2 | ||
Character | \(\chi\) | \(=\) | 91.45 |
Dual form | 91.2.ba.a.89.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984398 | + | 0.984398i | −0.696075 | + | 0.696075i | −0.963562 | − | 0.267487i | \(-0.913807\pi\) |
0.267487 | + | 0.963562i | \(0.413807\pi\) | |||||||
\(3\) | −1.25446 | + | 0.724265i | −0.724265 | + | 0.418155i | −0.816320 | − | 0.577599i | \(-0.803990\pi\) |
0.0920554 | + | 0.995754i | \(0.470656\pi\) | |||||||
\(4\) | 0.0619199i | 0.0309600i | ||||||||
\(5\) | −0.172312 | + | 0.643078i | −0.0770604 | + | 0.287593i | −0.993693 | − | 0.112138i | \(-0.964230\pi\) |
0.916632 | + | 0.399732i | \(0.130897\pi\) | |||||||
\(6\) | 0.521927 | − | 1.94786i | 0.213076 | − | 0.795210i | ||||
\(7\) | −2.46519 | − | 0.960657i | −0.931752 | − | 0.363094i | ||||
\(8\) | −2.02975 | − | 2.02975i | −0.717625 | − | 0.717625i | ||||
\(9\) | −0.450880 | + | 0.780947i | −0.150293 | + | 0.260316i | ||||
\(10\) | −0.463421 | − | 0.802669i | −0.146547 | − | 0.253826i | ||||
\(11\) | −1.24780 | + | 4.65687i | −0.376227 | + | 1.40410i | 0.475317 | + | 0.879815i | \(0.342333\pi\) |
−0.851544 | + | 0.524283i | \(0.824333\pi\) | |||||||
\(12\) | −0.0448464 | − | 0.0776763i | −0.0129461 | − | 0.0224232i | ||||
\(13\) | 3.60544 | − | 0.0282257i | 0.999969 | − | 0.00782840i | ||||
\(14\) | 3.37239 | − | 1.48106i | 0.901310 | − | 0.395829i | ||||
\(15\) | −0.249600 | − | 0.931519i | −0.0644463 | − | 0.240517i | ||||
\(16\) | 3.87233 | 0.968082 | ||||||||
\(17\) | 0.467904 | 0.113483 | 0.0567417 | − | 0.998389i | \(-0.481929\pi\) | ||||
0.0567417 | + | 0.998389i | \(0.481929\pi\) | |||||||
\(18\) | −0.324918 | − | 1.21261i | −0.0765838 | − | 0.285815i | ||||
\(19\) | 3.26172 | − | 0.873976i | 0.748290 | − | 0.200504i | 0.135531 | − | 0.990773i | \(-0.456726\pi\) |
0.612760 | + | 0.790269i | \(0.290059\pi\) | |||||||
\(20\) | −0.0398194 | − | 0.0106696i | −0.00890388 | − | 0.00238579i | ||||
\(21\) | 3.78826 | − | 0.580338i | 0.826665 | − | 0.126640i | ||||
\(22\) | −3.35587 | − | 5.81255i | −0.715475 | − | 1.23924i | ||||
\(23\) | 6.95512i | 1.45024i | 0.688621 | + | 0.725122i | \(0.258217\pi\) | ||||
−0.688621 | + | 0.725122i | \(0.741783\pi\) | |||||||
\(24\) | 4.01633 | + | 1.07617i | 0.819829 | + | 0.219673i | ||||
\(25\) | 3.94627 | + | 2.27838i | 0.789254 | + | 0.455676i | ||||
\(26\) | −3.52140 | + | 3.57698i | −0.690604 | + | 0.701503i | ||||
\(27\) | − | 5.65182i | − | 1.08769i | ||||||
\(28\) | 0.0594838 | − | 0.152644i | 0.0112414 | − | 0.0288470i | ||||
\(29\) | −2.01911 | + | 3.49720i | −0.374940 | + | 0.649414i | −0.990318 | − | 0.138817i | \(-0.955670\pi\) |
0.615378 | + | 0.788232i | \(0.289003\pi\) | |||||||
\(30\) | 1.16269 | + | 0.671280i | 0.212277 | + | 0.122558i | ||||
\(31\) | −4.10087 | + | 1.09883i | −0.736539 | + | 0.197355i | −0.607539 | − | 0.794290i | \(-0.707843\pi\) |
−0.129000 | + | 0.991645i | \(0.541177\pi\) | |||||||
\(32\) | 0.247590 | − | 0.247590i | 0.0437681 | − | 0.0437681i | ||||
\(33\) | −1.80748 | − | 6.74561i | −0.314642 | − | 1.17426i | ||||
\(34\) | −0.460604 | + | 0.460604i | −0.0789929 | + | 0.0789929i | ||||
\(35\) | 1.04256 | − | 1.41977i | 0.176225 | − | 0.239986i | ||||
\(36\) | −0.0483562 | − | 0.0279185i | −0.00805937 | − | 0.00465308i | ||||
\(37\) | −2.38729 | − | 2.38729i | −0.392467 | − | 0.392467i | 0.483099 | − | 0.875566i | \(-0.339511\pi\) |
−0.875566 | + | 0.483099i | \(0.839511\pi\) | |||||||
\(38\) | −2.35049 | + | 4.07117i | −0.381300 | + | 0.660432i | ||||
\(39\) | −4.50245 | + | 2.64670i | −0.720969 | + | 0.423812i | ||||
\(40\) | 1.65504 | − | 0.955538i | 0.261685 | − | 0.151084i | ||||
\(41\) | 3.68025 | − | 0.986119i | 0.574758 | − | 0.154006i | 0.0402801 | − | 0.999188i | \(-0.487175\pi\) |
0.534478 | + | 0.845182i | \(0.320508\pi\) | |||||||
\(42\) | −3.15787 | + | 4.30044i | −0.487270 | + | 0.663572i | ||||
\(43\) | 3.42191 | − | 1.97564i | 0.521836 | − | 0.301282i | −0.215849 | − | 0.976427i | \(-0.569252\pi\) |
0.737686 | + | 0.675144i | \(0.235919\pi\) | |||||||
\(44\) | −0.288353 | − | 0.0772639i | −0.0434708 | − | 0.0116480i | ||||
\(45\) | −0.424518 | − | 0.424518i | −0.0632834 | − | 0.0632834i | ||||
\(46\) | −6.84661 | − | 6.84661i | −1.00948 | − | 1.00948i | ||||
\(47\) | −9.64648 | − | 2.58477i | −1.40708 | − | 0.377027i | −0.526201 | − | 0.850360i | \(-0.676384\pi\) |
−0.880883 | + | 0.473333i | \(0.843051\pi\) | |||||||
\(48\) | −4.85769 | + | 2.80459i | −0.701148 | + | 0.404808i | ||||
\(49\) | 5.15428 | + | 4.73639i | 0.736325 | + | 0.676628i | ||||
\(50\) | −6.12753 | + | 1.64187i | −0.866564 | + | 0.232195i | ||||
\(51\) | −0.586968 | + | 0.338886i | −0.0821920 | + | 0.0474536i | ||||
\(52\) | 0.00174773 | + | 0.223249i | 0.000242367 | + | 0.0309590i | ||||
\(53\) | 2.20051 | − | 3.81140i | 0.302264 | − | 0.523537i | −0.674384 | − | 0.738380i | \(-0.735591\pi\) |
0.976648 | + | 0.214844i | \(0.0689243\pi\) | |||||||
\(54\) | 5.56364 | + | 5.56364i | 0.757115 | + | 0.757115i | ||||
\(55\) | −2.77972 | − | 1.60487i | −0.374817 | − | 0.216401i | ||||
\(56\) | 3.05382 | + | 6.95360i | 0.408084 | + | 0.929214i | ||||
\(57\) | −3.45872 | + | 3.45872i | −0.458119 | + | 0.458119i | ||||
\(58\) | −1.45503 | − | 5.43025i | −0.191055 | − | 0.713027i | ||||
\(59\) | 4.33306 | − | 4.33306i | 0.564117 | − | 0.564117i | −0.366358 | − | 0.930474i | \(-0.619395\pi\) |
0.930474 | + | 0.366358i | \(0.119395\pi\) | |||||||
\(60\) | 0.0576796 | − | 0.0154552i | 0.00744640 | − | 0.00199526i | ||||
\(61\) | 4.21802 | + | 2.43528i | 0.540062 | + | 0.311805i | 0.745104 | − | 0.666948i | \(-0.232400\pi\) |
−0.205042 | + | 0.978753i | \(0.565733\pi\) | |||||||
\(62\) | 2.95521 | − | 5.11858i | 0.375312 | − | 0.650060i | ||||
\(63\) | 1.86173 | − | 1.49204i | 0.234555 | − | 0.187979i | ||||
\(64\) | 8.23211i | 1.02901i | ||||||||
\(65\) | −0.603111 | + | 2.32344i | −0.0748067 | + | 0.288188i | ||||
\(66\) | 8.41965 | + | 4.86109i | 1.03639 | + | 0.598358i | ||||
\(67\) | −9.03697 | − | 2.42145i | −1.10404 | − | 0.295827i | −0.339633 | − | 0.940558i | \(-0.610303\pi\) |
−0.764409 | + | 0.644731i | \(0.776969\pi\) | |||||||
\(68\) | 0.0289726i | 0.00351344i | ||||||||
\(69\) | −5.03735 | − | 8.72495i | −0.606426 | − | 1.05036i | ||||
\(70\) | 0.371330 | + | 2.42392i | 0.0443824 | + | 0.289714i | ||||
\(71\) | 3.19935 | + | 0.857263i | 0.379693 | + | 0.101738i | 0.443617 | − | 0.896216i | \(-0.353695\pi\) |
−0.0639244 | + | 0.997955i | \(0.520362\pi\) | |||||||
\(72\) | 2.50030 | − | 0.669954i | 0.294663 | − | 0.0789548i | ||||
\(73\) | −0.0301918 | − | 0.112678i | −0.00353369 | − | 0.0131879i | 0.964136 | − | 0.265407i | \(-0.0855063\pi\) |
−0.967670 | + | 0.252219i | \(0.918840\pi\) | |||||||
\(74\) | 4.70008 | 0.546373 | ||||||||
\(75\) | −6.60060 | −0.762172 | ||||||||
\(76\) | 0.0541165 | + | 0.201966i | 0.00620759 | + | 0.0231670i | ||||
\(77\) | 7.54972 | − | 10.2813i | 0.860370 | − | 1.17167i | ||||
\(78\) | 1.82680 | − | 7.03762i | 0.206844 | − | 0.796853i | ||||
\(79\) | 0.194920 | + | 0.337611i | 0.0219302 | + | 0.0379842i | 0.876782 | − | 0.480888i | \(-0.159686\pi\) |
−0.854852 | + | 0.518872i | \(0.826352\pi\) | |||||||
\(80\) | −0.667250 | + | 2.49021i | −0.0746008 | + | 0.278414i | ||||
\(81\) | 2.74077 | + | 4.74716i | 0.304530 | + | 0.527462i | ||||
\(82\) | −2.65209 | + | 4.59356i | −0.292875 | + | 0.507274i | ||||
\(83\) | 11.5572 | + | 11.5572i | 1.26857 | + | 1.26857i | 0.946828 | + | 0.321741i | \(0.104268\pi\) |
0.321741 | + | 0.946828i | \(0.395732\pi\) | |||||||
\(84\) | 0.0359345 | + | 0.234569i | 0.00392078 | + | 0.0255935i | ||||
\(85\) | −0.0806256 | + | 0.300899i | −0.00874507 | + | 0.0326371i | ||||
\(86\) | −1.42371 | + | 5.31334i | −0.153522 | + | 0.572952i | ||||
\(87\) | − | 5.84949i | − | 0.627131i | ||||||
\(88\) | 11.9850 | − | 6.91955i | 1.27761 | − | 0.737626i | ||||
\(89\) | 6.83819 | − | 6.83819i | 0.724847 | − | 0.724847i | −0.244742 | − | 0.969588i | \(-0.578703\pi\) |
0.969588 | + | 0.244742i | \(0.0787031\pi\) | |||||||
\(90\) | 0.835790 | 0.0881000 | ||||||||
\(91\) | −8.91519 | − | 3.39401i | −0.934566 | − | 0.355789i | ||||
\(92\) | −0.430661 | −0.0448995 | ||||||||
\(93\) | 4.34856 | − | 4.34856i | 0.450924 | − | 0.450924i | ||||
\(94\) | 12.0404 | − | 6.95154i | 1.24187 | − | 0.716997i | ||||
\(95\) | 2.24814i | 0.230654i | ||||||||
\(96\) | −0.131272 | + | 0.489913i | −0.0133979 | + | 0.0500015i | ||||
\(97\) | −4.61378 | + | 17.2188i | −0.468458 | + | 1.74831i | 0.176705 | + | 0.984264i | \(0.443456\pi\) |
−0.645163 | + | 0.764045i | \(0.723210\pi\) | |||||||
\(98\) | −9.73636 | + | 0.411364i | −0.983521 | + | 0.0415540i | ||||
\(99\) | −3.07416 | − | 3.07416i | −0.308964 | − | 0.308964i | ||||
\(100\) | −0.141077 | + | 0.244353i | −0.0141077 | + | 0.0244353i | ||||
\(101\) | −5.57293 | − | 9.65259i | −0.554527 | − | 0.960469i | −0.997940 | − | 0.0641517i | \(-0.979566\pi\) |
0.443413 | − | 0.896317i | \(-0.353767\pi\) | |||||||
\(102\) | 0.244212 | − | 0.911410i | 0.0241805 | − | 0.0902430i | ||||
\(103\) | 3.73616 | + | 6.47122i | 0.368135 | + | 0.637628i | 0.989274 | − | 0.146072i | \(-0.0466632\pi\) |
−0.621139 | + | 0.783700i | \(0.713330\pi\) | |||||||
\(104\) | −7.37544 | − | 7.26085i | −0.723221 | − | 0.711985i | ||||
\(105\) | −0.279560 | + | 2.53615i | −0.0272823 | + | 0.247502i | ||||
\(106\) | 1.58576 | + | 5.91812i | 0.154022 | + | 0.574819i | ||||
\(107\) | −4.15105 | −0.401297 | −0.200649 | − | 0.979663i | \(-0.564305\pi\) | ||||
−0.200649 | + | 0.979663i | \(0.564305\pi\) | |||||||
\(108\) | 0.349960 | 0.0336749 | ||||||||
\(109\) | −1.59208 | − | 5.94172i | −0.152493 | − | 0.569113i | −0.999307 | − | 0.0372233i | \(-0.988149\pi\) |
0.846814 | − | 0.531890i | \(-0.178518\pi\) | |||||||
\(110\) | 4.31618 | − | 1.15652i | 0.411532 | − | 0.110270i | ||||
\(111\) | 4.72379 | + | 1.26574i | 0.448363 | + | 0.120138i | ||||
\(112\) | −9.54600 | − | 3.71998i | −0.902012 | − | 0.351505i | ||||
\(113\) | −0.554932 | − | 0.961171i | −0.0522036 | − | 0.0904194i | 0.838743 | − | 0.544528i | \(-0.183291\pi\) |
−0.890946 | + | 0.454109i | \(0.849958\pi\) | |||||||
\(114\) | − | 6.80952i | − | 0.637770i | ||||||
\(115\) | −4.47269 | − | 1.19845i | −0.417080 | − | 0.111756i | ||||
\(116\) | −0.216547 | − | 0.125023i | −0.0201058 | − | 0.0116081i | ||||
\(117\) | −1.60358 | + | 2.82839i | −0.148251 | + | 0.261484i | ||||
\(118\) | 8.53092i | 0.785335i | ||||||||
\(119\) | −1.15347 | − | 0.449495i | −0.105738 | − | 0.0412051i | ||||
\(120\) | −1.38413 | + | 2.39738i | −0.126353 | + | 0.218849i | ||||
\(121\) | −10.6031 | − | 6.12170i | −0.963918 | − | 0.556519i | ||||
\(122\) | −6.54950 | + | 1.75493i | −0.592963 | + | 0.158884i | ||||
\(123\) | −3.90253 | + | 3.90253i | −0.351879 | + | 0.351879i | ||||
\(124\) | −0.0680392 | − | 0.253926i | −0.00611010 | − | 0.0228032i | ||||
\(125\) | −4.49900 | + | 4.49900i | −0.402403 | + | 0.402403i | ||||
\(126\) | −0.363919 | + | 3.30144i | −0.0324205 | + | 0.294116i | ||||
\(127\) | 17.2552 | + | 9.96228i | 1.53115 | + | 0.884009i | 0.999309 | + | 0.0371647i | \(0.0118326\pi\) |
0.531840 | + | 0.846845i | \(0.321501\pi\) | |||||||
\(128\) | −7.60849 | − | 7.60849i | −0.672502 | − | 0.672502i | ||||
\(129\) | −2.86178 | + | 4.95674i | −0.251965 | + | 0.436417i | ||||
\(130\) | −1.69349 | − | 2.88090i | −0.148529 | − | 0.252671i | ||||
\(131\) | 6.61385 | − | 3.81851i | 0.577855 | − | 0.333625i | −0.182426 | − | 0.983220i | \(-0.558395\pi\) |
0.760280 | + | 0.649595i | \(0.225062\pi\) | |||||||
\(132\) | 0.417688 | − | 0.111919i | 0.0363550 | − | 0.00974131i | ||||
\(133\) | −8.88034 | − | 0.978883i | −0.770023 | − | 0.0848799i | ||||
\(134\) | 11.2797 | − | 6.51231i | 0.974414 | − | 0.562578i | ||||
\(135\) | 3.63456 | + | 0.973878i | 0.312813 | + | 0.0838181i | ||||
\(136\) | −0.949728 | − | 0.949728i | −0.0814385 | − | 0.0814385i | ||||
\(137\) | 9.31142 | + | 9.31142i | 0.795528 | + | 0.795528i | 0.982387 | − | 0.186859i | \(-0.0598306\pi\) |
−0.186859 | + | 0.982387i | \(0.559831\pi\) | |||||||
\(138\) | 13.5476 | + | 3.63007i | 1.15325 | + | 0.309012i | ||||
\(139\) | −14.9082 | + | 8.60724i | −1.26449 | + | 0.730056i | −0.973941 | − | 0.226802i | \(-0.927173\pi\) |
−0.290554 | + | 0.956859i | \(0.593839\pi\) | |||||||
\(140\) | 0.0879123 | + | 0.0645552i | 0.00742995 | + | 0.00545591i | ||||
\(141\) | 13.9732 | − | 3.74411i | 1.17676 | − | 0.315311i | ||||
\(142\) | −3.99332 | + | 2.30555i | −0.335112 | + | 0.193477i | ||||
\(143\) | −4.36744 | + | 16.8253i | −0.365223 | + | 1.40700i | ||||
\(144\) | −1.74595 | + | 3.02408i | −0.145496 | + | 0.252007i | ||||
\(145\) | −1.90106 | − | 1.90106i | −0.157874 | − | 0.157874i | ||||
\(146\) | 0.140640 | + | 0.0811987i | 0.0116395 | + | 0.00672006i | ||||
\(147\) | −9.89626 | − | 2.20857i | −0.816230 | − | 0.182160i | ||||
\(148\) | 0.147821 | − | 0.147821i | 0.0121508 | − | 0.0121508i | ||||
\(149\) | 0.973843 | + | 3.63443i | 0.0797804 | + | 0.297744i | 0.994275 | − | 0.106854i | \(-0.0340779\pi\) |
−0.914494 | + | 0.404599i | \(0.867411\pi\) | |||||||
\(150\) | 6.49762 | − | 6.49762i | 0.530529 | − | 0.530529i | ||||
\(151\) | 7.30304 | − | 1.95684i | 0.594313 | − | 0.159246i | 0.0508895 | − | 0.998704i | \(-0.483794\pi\) |
0.543424 | + | 0.839459i | \(0.317128\pi\) | |||||||
\(152\) | −8.39443 | − | 4.84653i | −0.680879 | − | 0.393105i | ||||
\(153\) | −0.210968 | + | 0.365408i | −0.0170558 | + | 0.0295415i | ||||
\(154\) | 2.68899 | + | 17.5528i | 0.216685 | + | 1.41445i | ||||
\(155\) | − | 2.82653i | − | 0.227032i | ||||||
\(156\) | −0.163884 | − | 0.278792i | −0.0131212 | − | 0.0223212i | ||||
\(157\) | −21.3379 | − | 12.3194i | −1.70295 | − | 0.983199i | −0.942744 | − | 0.333518i | \(-0.891764\pi\) |
−0.760207 | − | 0.649681i | \(-0.774903\pi\) | |||||||
\(158\) | −0.524222 | − | 0.140465i | −0.0417049 | − | 0.0111748i | ||||
\(159\) | 6.37502i | 0.505572i | ||||||||
\(160\) | 0.116557 | + | 0.201882i | 0.00921463 | + | 0.0159602i | ||||
\(161\) | 6.68149 | − | 17.1457i | 0.526575 | − | 1.35127i | ||||
\(162\) | −7.37111 | − | 1.97508i | −0.579129 | − | 0.155177i | ||||
\(163\) | 20.0547 | − | 5.37364i | 1.57081 | − | 0.420896i | 0.634742 | − | 0.772724i | \(-0.281107\pi\) |
0.936065 | + | 0.351828i | \(0.114440\pi\) | |||||||
\(164\) | 0.0610604 | + | 0.227881i | 0.00476802 | + | 0.0177945i | ||||
\(165\) | 4.64941 | 0.361956 | ||||||||
\(166\) | −22.7538 | −1.76604 | ||||||||
\(167\) | −4.53457 | − | 16.9233i | −0.350896 | − | 1.30956i | −0.885571 | − | 0.464503i | \(-0.846233\pi\) |
0.534676 | − | 0.845057i | \(-0.320434\pi\) | |||||||
\(168\) | −8.86716 | − | 6.51127i | −0.684116 | − | 0.502356i | ||||
\(169\) | 12.9984 | − | 0.203532i | 0.999877 | − | 0.0156563i | ||||
\(170\) | −0.216837 | − | 0.375572i | −0.0166306 | − | 0.0288051i | ||||
\(171\) | −0.788117 | + | 2.94129i | −0.0602688 | + | 0.224926i | ||||
\(172\) | 0.122332 | + | 0.211884i | 0.00932769 | + | 0.0161560i | ||||
\(173\) | 2.96030 | − | 5.12740i | 0.225068 | − | 0.389829i | −0.731272 | − | 0.682086i | \(-0.761073\pi\) |
0.956340 | + | 0.292257i | \(0.0944063\pi\) | |||||||
\(174\) | 5.75823 | + | 5.75823i | 0.436530 | + | 0.436530i | ||||
\(175\) | −7.53954 | − | 9.40764i | −0.569936 | − | 0.711150i | ||||
\(176\) | −4.83190 | + | 18.0329i | −0.364218 | + | 1.35928i | ||||
\(177\) | −2.29738 | + | 8.57396i | −0.172682 | + | 0.644458i | ||||
\(178\) | 13.4630i | 1.00910i | ||||||||
\(179\) | 3.26505 | − | 1.88508i | 0.244041 | − | 0.140897i | −0.372992 | − | 0.927835i | \(-0.621668\pi\) |
0.617033 | + | 0.786938i | \(0.288335\pi\) | |||||||
\(180\) | 0.0262861 | − | 0.0262861i | 0.00195925 | − | 0.00195925i | ||||
\(181\) | 5.68899 | 0.422859 | 0.211430 | − | 0.977393i | \(-0.432188\pi\) | ||||
0.211430 | + | 0.977393i | \(0.432188\pi\) | |||||||
\(182\) | 12.1172 | − | 5.43505i | 0.898184 | − | 0.402872i | ||||
\(183\) | −7.05514 | −0.521531 | ||||||||
\(184\) | 14.1172 | − | 14.1172i | 1.04073 | − | 1.04073i | ||||
\(185\) | 1.94657 | − | 1.12385i | 0.143115 | − | 0.0826273i | ||||
\(186\) | 8.56143i | 0.627754i | ||||||||
\(187\) | −0.583852 | + | 2.17896i | −0.0426955 | + | 0.159342i | ||||
\(188\) | 0.160049 | − | 0.597309i | 0.0116727 | − | 0.0435633i | ||||
\(189\) | −5.42946 | + | 13.9328i | −0.394935 | + | 1.01346i | ||||
\(190\) | −2.21307 | − | 2.21307i | −0.160553 | − | 0.160553i | ||||
\(191\) | 4.58382 | − | 7.93941i | 0.331674 | − | 0.574476i | −0.651167 | − | 0.758935i | \(-0.725720\pi\) |
0.982840 | + | 0.184459i | \(0.0590534\pi\) | |||||||
\(192\) | −5.96223 | − | 10.3269i | −0.430287 | − | 0.745278i | ||||
\(193\) | −6.57695 | + | 24.5455i | −0.473419 | + | 1.76682i | 0.153926 | + | 0.988082i | \(0.450808\pi\) |
−0.627345 | + | 0.778742i | \(0.715858\pi\) | |||||||
\(194\) | −12.4084 | − | 21.4920i | −0.890872 | − | 1.54304i | ||||
\(195\) | −0.926209 | − | 3.35149i | −0.0663272 | − | 0.240005i | ||||
\(196\) | −0.293277 | + | 0.319152i | −0.0209484 | + | 0.0227966i | ||||
\(197\) | −0.371638 | − | 1.38697i | −0.0264781 | − | 0.0988175i | 0.951422 | − | 0.307889i | \(-0.0996225\pi\) |
−0.977900 | + | 0.209071i | \(0.932956\pi\) | |||||||
\(198\) | 6.05239 | 0.430125 | ||||||||
\(199\) | 11.0158 | 0.780892 | 0.390446 | − | 0.920626i | \(-0.372321\pi\) | ||||
0.390446 | + | 0.920626i | \(0.372321\pi\) | |||||||
\(200\) | −3.38540 | − | 12.6345i | −0.239384 | − | 0.893393i | ||||
\(201\) | 13.0903 | − | 3.50754i | 0.923321 | − | 0.247403i | ||||
\(202\) | 14.9880 | + | 4.01602i | 1.05455 | + | 0.282566i | ||||
\(203\) | 8.33710 | − | 6.68158i | 0.585149 | − | 0.468955i | ||||
\(204\) | −0.0209838 | − | 0.0363450i | −0.00146916 | − | 0.00254466i | ||||
\(205\) | 2.53661i | 0.177164i | ||||||||
\(206\) | −10.0481 | − | 2.69239i | −0.700086 | − | 0.187588i | ||||
\(207\) | −5.43158 | − | 3.13593i | −0.377521 | − | 0.217962i | ||||
\(208\) | 13.9614 | − | 0.109299i | 0.968052 | − | 0.00757853i | ||||
\(209\) | 16.2800i | 1.12611i | ||||||||
\(210\) | −2.22138 | − | 2.77178i | −0.153290 | − | 0.191271i | ||||
\(211\) | 11.5485 | − | 20.0025i | 0.795029 | − | 1.37703i | −0.127792 | − | 0.991801i | \(-0.540789\pi\) |
0.922821 | − | 0.385229i | \(-0.125878\pi\) | |||||||
\(212\) | 0.236002 | + | 0.136256i | 0.0162087 | + | 0.00935808i | ||||
\(213\) | −4.63435 | + | 1.24177i | −0.317541 | + | 0.0850848i | ||||
\(214\) | 4.08629 | − | 4.08629i | 0.279333 | − | 0.279333i | ||||
\(215\) | 0.680855 | + | 2.54098i | 0.0464339 | + | 0.173294i | ||||
\(216\) | −11.4718 | + | 11.4718i | −0.780556 | + | 0.780556i | ||||
\(217\) | 11.1650 | + | 1.23072i | 0.757930 | + | 0.0835469i | ||||
\(218\) | 7.41625 | + | 4.28178i | 0.502292 | + | 0.289998i | ||||
\(219\) | 0.119483 | + | 0.119483i | 0.00807391 | + | 0.00807391i | ||||
\(220\) | 0.0993735 | − | 0.172120i | 0.00669976 | − | 0.0116043i | ||||
\(221\) | 1.68700 | − | 0.0132069i | 0.113480 | − | 0.000888393i | ||||
\(222\) | −5.89608 | + | 3.40410i | −0.395719 | + | 0.228469i | ||||
\(223\) | −3.57776 | + | 0.958657i | −0.239584 | + | 0.0641964i | −0.376613 | − | 0.926371i | \(-0.622911\pi\) |
0.137029 | + | 0.990567i | \(0.456245\pi\) | |||||||
\(224\) | −0.848203 | + | 0.372506i | −0.0566730 | + | 0.0248891i | ||||
\(225\) | −3.55859 | + | 2.05455i | −0.237239 | + | 0.136970i | ||||
\(226\) | 1.49245 | + | 0.399901i | 0.0992763 | + | 0.0266010i | ||||
\(227\) | 17.0467 | + | 17.0467i | 1.13143 | + | 1.13143i | 0.989939 | + | 0.141493i | \(0.0451902\pi\) |
0.141493 | + | 0.989939i | \(0.454810\pi\) | |||||||
\(228\) | −0.214164 | − | 0.214164i | −0.0141833 | − | 0.0141833i | ||||
\(229\) | 18.0095 | + | 4.82564i | 1.19010 | + | 0.318887i | 0.798926 | − | 0.601429i | \(-0.205402\pi\) |
0.391176 | + | 0.920316i | \(0.372068\pi\) | |||||||
\(230\) | 5.58266 | − | 3.22315i | 0.368110 | − | 0.212528i | ||||
\(231\) | −2.02444 | + | 18.3655i | −0.133198 | + | 1.20836i | ||||
\(232\) | 11.1967 | − | 3.00016i | 0.735102 | − | 0.196970i | ||||
\(233\) | −3.91672 | + | 2.26132i | −0.256593 | + | 0.148144i | −0.622779 | − | 0.782398i | \(-0.713997\pi\) |
0.366187 | + | 0.930541i | \(0.380663\pi\) | |||||||
\(234\) | −1.20570 | − | 4.36282i | −0.0788189 | − | 0.285206i | ||||
\(235\) | 3.32442 | − | 5.75806i | 0.216861 | − | 0.375614i | ||||
\(236\) | 0.268303 | + | 0.268303i | 0.0174650 | + | 0.0174650i | ||||
\(237\) | −0.489040 | − | 0.282347i | −0.0317665 | − | 0.0183404i | ||||
\(238\) | 1.57796 | − | 0.692991i | 0.102284 | − | 0.0449200i | ||||
\(239\) | −11.1608 | + | 11.1608i | −0.721931 | + | 0.721931i | −0.968998 | − | 0.247067i | \(-0.920533\pi\) |
0.247067 | + | 0.968998i | \(0.420533\pi\) | |||||||
\(240\) | −0.966531 | − | 3.60714i | −0.0623893 | − | 0.232840i | ||||
\(241\) | −5.35165 | + | 5.35165i | −0.344730 | + | 0.344730i | −0.858142 | − | 0.513412i | \(-0.828381\pi\) |
0.513412 | + | 0.858142i | \(0.328381\pi\) | |||||||
\(242\) | 16.4639 | − | 4.41148i | 1.05834 | − | 0.283581i | ||||
\(243\) | 7.80745 | + | 4.50763i | 0.500848 | + | 0.289165i | ||||
\(244\) | −0.150792 | + | 0.261180i | −0.00965348 | + | 0.0167203i | ||||
\(245\) | −3.93402 | + | 2.49847i | −0.251335 | + | 0.159621i | ||||
\(246\) | − | 7.68328i | − | 0.489868i | ||||||
\(247\) | 11.7353 | − | 3.24313i | 0.746698 | − | 0.206356i | ||||
\(248\) | 10.5541 | + | 6.09341i | 0.670186 | + | 0.386932i | ||||
\(249\) | −22.8686 | − | 6.12762i | −1.44924 | − | 0.388322i | ||||
\(250\) | − | 8.85761i | − | 0.560205i | ||||||
\(251\) | −10.6165 | − | 18.3883i | −0.670106 | − | 1.16066i | −0.977874 | − | 0.209197i | \(-0.932915\pi\) |
0.307767 | − | 0.951462i | \(-0.400418\pi\) | |||||||
\(252\) | 0.0923869 | + | 0.115278i | 0.00581983 | + | 0.00726182i | ||||
\(253\) | −32.3891 | − | 8.67863i | −2.03628 | − | 0.545621i | ||||
\(254\) | −26.7928 | + | 7.17911i | −1.68113 | + | 0.450458i | ||||
\(255\) | −0.116789 | − | 0.435861i | −0.00731359 | − | 0.0272947i | ||||
\(256\) | −1.48464 | −0.0927899 | ||||||||
\(257\) | −25.2410 | −1.57449 | −0.787245 | − | 0.616640i | \(-0.788494\pi\) | ||||
−0.787245 | + | 0.616640i | \(0.788494\pi\) | |||||||
\(258\) | −2.06228 | − | 7.69653i | −0.128392 | − | 0.479165i | ||||
\(259\) | 3.59174 | + | 8.17846i | 0.223180 | + | 0.508185i | ||||
\(260\) | −0.143868 | − | 0.0373446i | −0.00892229 | − | 0.00231601i | ||||
\(261\) | −1.82075 | − | 3.15364i | −0.112702 | − | 0.195205i | ||||
\(262\) | −2.75173 | + | 10.2696i | −0.170002 | + | 0.634458i | ||||
\(263\) | −0.152018 | − | 0.263302i | −0.00937381 | − | 0.0162359i | 0.861300 | − | 0.508096i | \(-0.169650\pi\) |
−0.870674 | + | 0.491860i | \(0.836317\pi\) | |||||||
\(264\) | −10.0232 | + | 17.3606i | −0.616884 | + | 1.06847i | ||||
\(265\) | 2.07186 | + | 2.07186i | 0.127273 | + | 0.127273i | ||||
\(266\) | 9.70540 | − | 7.77818i | 0.595076 | − | 0.476911i | ||||
\(267\) | −3.62560 | + | 13.5309i | −0.221883 | + | 0.828079i | ||||
\(268\) | 0.149936 | − | 0.559569i | 0.00915880 | − | 0.0341811i | ||||
\(269\) | − | 17.9385i | − | 1.09373i | −0.837221 | − | 0.546865i | \(-0.815821\pi\) | ||
0.837221 | − | 0.546865i | \(-0.184179\pi\) | |||||||
\(270\) | −4.53654 | + | 2.61917i | −0.276085 | + | 0.159398i | ||||
\(271\) | −9.18147 | + | 9.18147i | −0.557734 | + | 0.557734i | −0.928662 | − | 0.370927i | \(-0.879040\pi\) |
0.370927 | + | 0.928662i | \(0.379040\pi\) | |||||||
\(272\) | 1.81188 | 0.109861 | ||||||||
\(273\) | 13.6420 | − | 2.19930i | 0.825649 | − | 0.133108i | ||||
\(274\) | −18.3323 | −1.10749 | ||||||||
\(275\) | −15.5343 | + | 15.5343i | −0.936752 | + | 0.936752i | ||||
\(276\) | 0.540248 | − | 0.311913i | 0.0325191 | − | 0.0187749i | ||||
\(277\) | 6.21287i | 0.373295i | 0.982427 | + | 0.186648i | \(0.0597623\pi\) | ||||
−0.982427 | + | 0.186648i | \(0.940238\pi\) | |||||||
\(278\) | 6.20263 | − | 23.1485i | 0.372009 | − | 1.38836i | ||||
\(279\) | 0.990877 | − | 3.69801i | 0.0593223 | − | 0.221394i | ||||
\(280\) | −4.99792 | + | 0.765652i | −0.298683 | + | 0.0457565i | ||||
\(281\) | 1.72841 | + | 1.72841i | 0.103108 | + | 0.103108i | 0.756779 | − | 0.653671i | \(-0.226772\pi\) |
−0.653671 | + | 0.756779i | \(0.726772\pi\) | |||||||
\(282\) | −10.0695 | + | 17.4409i | −0.599631 | + | 1.03859i | ||||
\(283\) | −9.00809 | − | 15.6025i | −0.535475 | − | 0.927471i | −0.999140 | − | 0.0414599i | \(-0.986799\pi\) |
0.463665 | − | 0.886011i | \(-0.346534\pi\) | |||||||
\(284\) | −0.0530817 | + | 0.198103i | −0.00314982 | + | 0.0117553i | ||||
\(285\) | −1.62825 | − | 2.82021i | −0.0964492 | − | 0.167055i | ||||
\(286\) | −12.2635 | − | 20.8621i | −0.725154 | − | 1.23360i | ||||
\(287\) | −10.0198 | − | 1.10449i | −0.591451 | − | 0.0651958i | ||||
\(288\) | 0.0817212 | + | 0.304988i | 0.00481547 | + | 0.0179716i | ||||
\(289\) | −16.7811 | −0.987122 | ||||||||
\(290\) | 3.74280 | 0.219785 | ||||||||
\(291\) | −6.68319 | − | 24.9420i | −0.391776 | − | 1.46213i | ||||
\(292\) | 0.00697698 | − | 0.00186948i | 0.000408297 | − | 0.000109403i | ||||
\(293\) | 4.38187 | + | 1.17412i | 0.255992 | + | 0.0685927i | 0.384532 | − | 0.923111i | \(-0.374363\pi\) |
−0.128541 | + | 0.991704i | \(0.541029\pi\) | |||||||
\(294\) | 11.9160 | − | 7.56775i | 0.694954 | − | 0.441360i | ||||
\(295\) | 2.03986 | + | 3.53314i | 0.118765 | + | 0.205707i | ||||
\(296\) | 9.69119i | 0.563289i | ||||||||
\(297\) | 26.3198 | + | 7.05236i | 1.52723 | + | 0.409219i | ||||
\(298\) | −4.53638 | − | 2.61908i | −0.262785 | − | 0.151719i | ||||
\(299\) | 0.196313 | + | 25.0763i | 0.0113531 | + | 1.45020i | ||||
\(300\) | − | 0.408709i | − | 0.0235968i | ||||||
\(301\) | −10.3336 | + | 1.58304i | −0.595616 | + | 0.0912449i | ||||
\(302\) | −5.26279 | + | 9.11542i | −0.302839 | + | 0.524533i | ||||
\(303\) | 13.9821 | + | 8.07256i | 0.803249 | + | 0.463756i | ||||
\(304\) | 12.6305 | − | 3.38432i | 0.724406 | − | 0.194104i | ||||
\(305\) | −2.29289 | + | 2.29289i | −0.131291 | + | 0.131291i | ||||
\(306\) | −0.152030 | − | 0.567384i | −0.00869098 | − | 0.0324352i | ||||
\(307\) | 11.5340 | − | 11.5340i | 0.658282 | − | 0.658282i | −0.296691 | − | 0.954973i | \(-0.595883\pi\) |
0.954973 | + | 0.296691i | \(0.0958832\pi\) | |||||||
\(308\) | 0.636619 | + | 0.467478i | 0.0362747 | + | 0.0266370i | ||||
\(309\) | −9.37376 | − | 5.41194i | −0.533254 | − | 0.307875i | ||||
\(310\) | 2.78243 | + | 2.78243i | 0.158031 | + | 0.158031i | ||||
\(311\) | 5.42435 | − | 9.39525i | 0.307587 | − | 0.532756i | −0.670247 | − | 0.742138i | \(-0.733812\pi\) |
0.977834 | + | 0.209382i | \(0.0671453\pi\) | |||||||
\(312\) | 14.5110 | + | 3.76671i | 0.821524 | + | 0.213248i | ||||
\(313\) | −6.22407 | + | 3.59347i | −0.351805 | + | 0.203115i | −0.665480 | − | 0.746416i | \(-0.731773\pi\) |
0.313675 | + | 0.949530i | \(0.398440\pi\) | |||||||
\(314\) | 33.1322 | − | 8.87776i | 1.86976 | − | 0.501001i | ||||
\(315\) | 0.638700 | + | 1.45433i | 0.0359866 | + | 0.0819423i | ||||
\(316\) | −0.0209048 | + | 0.0120694i | −0.00117599 | + | 0.000678958i | ||||
\(317\) | 9.14677 | + | 2.45087i | 0.513734 | + | 0.137655i | 0.506367 | − | 0.862318i | \(-0.330988\pi\) |
0.00736711 | + | 0.999973i | \(0.497655\pi\) | |||||||
\(318\) | −6.27556 | − | 6.27556i | −0.351916 | − | 0.351916i | ||||
\(319\) | −13.7666 | − | 13.7666i | −0.770779 | − | 0.770779i | ||||
\(320\) | −5.29389 | − | 1.41849i | −0.295937 | − | 0.0792962i | ||||
\(321\) | 5.20734 | − | 3.00646i | 0.290646 | − | 0.167804i | ||||
\(322\) | 10.3009 | + | 23.4554i | 0.574048 | + | 1.30712i | ||||
\(323\) | 1.52617 | − | 0.408937i | 0.0849185 | − | 0.0227538i | ||||
\(324\) | −0.293944 | + | 0.169709i | −0.0163302 | + | 0.00942825i | ||||
\(325\) | 14.2923 | + | 8.10318i | 0.792797 | + | 0.449483i | ||||
\(326\) | −14.4520 | + | 25.0316i | −0.800423 | + | 1.38637i | ||||
\(327\) | 6.30058 | + | 6.30058i | 0.348423 | + | 0.348423i | ||||
\(328\) | −9.47156 | − | 5.46841i | −0.522979 | − | 0.301942i | ||||
\(329\) | 21.2973 | + | 15.6389i | 1.17416 | + | 0.862200i | ||||
\(330\) | −4.57687 | + | 4.57687i | −0.251948 | + | 0.251948i | ||||
\(331\) | 1.53579 | + | 5.73166i | 0.0844148 | + | 0.315040i | 0.995203 | − | 0.0978341i | \(-0.0311915\pi\) |
−0.910788 | + | 0.412875i | \(0.864525\pi\) | |||||||
\(332\) | −0.715621 | + | 0.715621i | −0.0392748 | + | 0.0392748i | ||||
\(333\) | 2.94072 | − | 0.787965i | 0.161151 | − | 0.0431802i | ||||
\(334\) | 21.1230 | + | 12.1954i | 1.15580 | + | 0.667302i | ||||
\(335\) | 3.11436 | − | 5.39424i | 0.170156 | − | 0.294719i | ||||
\(336\) | 14.6694 | − | 2.24726i | 0.800279 | − | 0.122598i | ||||
\(337\) | − | 16.0448i | − | 0.874014i | −0.899458 | − | 0.437007i | \(-0.856039\pi\) | ||
0.899458 | − | 0.437007i | \(-0.143961\pi\) | |||||||
\(338\) | −12.5953 | + | 12.9960i | −0.685091 | + | 0.706887i | ||||
\(339\) | 1.39229 | + | 0.803836i | 0.0756185 | + | 0.0436584i | ||||
\(340\) | −0.0186316 | − | 0.00499233i | −0.00101044 | − | 0.000270747i | ||||
\(341\) | − | 20.4683i | − | 1.10842i | ||||||
\(342\) | −2.11958 | − | 3.67122i | −0.114614 | − | 0.198517i | ||||
\(343\) | −8.15620 | − | 16.6276i | −0.440393 | − | 0.897805i | ||||
\(344\) | −10.9557 | − | 2.93557i | −0.590691 | − | 0.158275i | ||||
\(345\) | 6.47883 | − | 1.73600i | 0.348808 | − | 0.0934629i | ||||
\(346\) | 2.13328 | + | 7.96152i | 0.114686 | + | 0.428014i | ||||
\(347\) | 22.9374 | 1.23135 | 0.615673 | − | 0.788002i | \(-0.288884\pi\) | ||||
0.615673 | + | 0.788002i | \(0.288884\pi\) | |||||||
\(348\) | 0.362200 | 0.0194160 | ||||||||
\(349\) | −3.69715 | − | 13.7979i | −0.197904 | − | 0.738587i | −0.991496 | − | 0.130137i | \(-0.958458\pi\) |
0.793592 | − | 0.608450i | \(-0.208208\pi\) | |||||||
\(350\) | 16.6828 | + | 1.83895i | 0.891732 | + | 0.0982959i | ||||
\(351\) | −0.159526 | − | 20.3773i | −0.00851489 | − | 1.08766i | ||||
\(352\) | 0.844049 | + | 1.46194i | 0.0449880 | + | 0.0779214i | ||||
\(353\) | 1.20372 | − | 4.49235i | 0.0640677 | − | 0.239104i | −0.926465 | − | 0.376381i | \(-0.877168\pi\) |
0.990533 | + | 0.137277i | \(0.0438351\pi\) | |||||||
\(354\) | −6.17865 | − | 10.7017i | −0.328391 | − | 0.568790i | ||||
\(355\) | −1.10257 | + | 1.90972i | −0.0585186 | + | 0.101357i | ||||
\(356\) | 0.423420 | + | 0.423420i | 0.0224412 | + | 0.0224412i | ||||
\(357\) | 1.77254 | − | 0.271543i | 0.0938127 | − | 0.0143716i | ||||
\(358\) | −1.35844 | + | 5.06977i | −0.0717959 | + | 0.267946i | ||||
\(359\) | 4.70405 | − | 17.5557i | 0.248270 | − | 0.926557i | −0.723441 | − | 0.690386i | \(-0.757441\pi\) |
0.971711 | − | 0.236171i | \(-0.0758926\pi\) | |||||||
\(360\) | 1.72333i | 0.0908275i | ||||||||
\(361\) | −6.57949 | + | 3.79867i | −0.346289 | + | 0.199930i | ||||
\(362\) | −5.60023 | + | 5.60023i | −0.294342 | + | 0.294342i | ||||
\(363\) | 17.7349 | 0.930843 | ||||||||
\(364\) | 0.210157 | − | 0.552028i | 0.0110152 | − | 0.0289341i | ||||
\(365\) | 0.0776629 | 0.00406506 | ||||||||
\(366\) | 6.94507 | − | 6.94507i | 0.363025 | − | 0.363025i | ||||
\(367\) | 12.6911 | − | 7.32723i | 0.662472 | − | 0.382478i | −0.130746 | − | 0.991416i | \(-0.541737\pi\) |
0.793218 | + | 0.608937i | \(0.208404\pi\) | |||||||
\(368\) | 26.9325i | 1.40395i | ||||||||
\(369\) | −0.889243 | + | 3.31870i | −0.0462921 | + | 0.172765i | ||||
\(370\) | −0.809882 | + | 3.02252i | −0.0421038 | + | 0.157133i | ||||
\(371\) | −9.08613 | + | 7.28188i | −0.471728 | + | 0.378056i | ||||
\(372\) | 0.269262 | + | 0.269262i | 0.0139606 | + | 0.0139606i | ||||
\(373\) | 2.86259 | − | 4.95816i | 0.148220 | − | 0.256724i | −0.782350 | − | 0.622839i | \(-0.785979\pi\) |
0.930569 | + | 0.366115i | \(0.119312\pi\) | |||||||
\(374\) | −1.57023 | − | 2.71971i | −0.0811945 | − | 0.140633i | ||||
\(375\) | 2.38536 | − | 8.90230i | 0.123180 | − | 0.459713i | ||||
\(376\) | 14.3335 | + | 24.8264i | 0.739195 | + | 1.28032i | ||||
\(377\) | −7.18108 | + | 12.6660i | −0.369844 | + | 0.652330i | ||||
\(378\) | −8.37066 | − | 19.0602i | −0.430540 | − | 0.980348i | ||||
\(379\) | −0.283332 | − | 1.05741i | −0.0145538 | − | 0.0543156i | 0.958267 | − | 0.285875i | \(-0.0922840\pi\) |
−0.972821 | + | 0.231559i | \(0.925617\pi\) | |||||||
\(380\) | −0.139205 | −0.00714105 | ||||||||
\(381\) | −28.8613 | −1.47861 | ||||||||
\(382\) | 3.30324 | + | 12.3278i | 0.169008 | + | 0.630747i | ||||
\(383\) | −0.492561 | + | 0.131981i | −0.0251687 | + | 0.00674393i | −0.271381 | − | 0.962472i | \(-0.587480\pi\) |
0.246213 | + | 0.969216i | \(0.420814\pi\) | |||||||
\(384\) | 15.0551 | + | 4.03401i | 0.768280 | + | 0.205860i | ||||
\(385\) | 5.31079 | + | 6.62666i | 0.270663 | + | 0.337726i | ||||
\(386\) | −17.6882 | − | 30.6369i | −0.900306 | − | 1.55938i | ||||
\(387\) | 3.56311i | 0.181123i | ||||||||
\(388\) | −1.06619 | − | 0.285685i | −0.0541276 | − | 0.0145034i | ||||
\(389\) | −17.8137 | − | 10.2847i | −0.903191 | − | 0.521457i | −0.0249566 | − | 0.999689i | \(-0.507945\pi\) |
−0.878234 | + | 0.478231i | \(0.841278\pi\) | |||||||
\(390\) | 4.21096 | + | 2.38744i | 0.213230 | + | 0.120893i | ||||
\(391\) | 3.25433i | 0.164578i | ||||||||
\(392\) | −0.848200 | − | 20.0756i | −0.0428406 | − | 1.01397i | ||||
\(393\) | −5.53122 | + | 9.58036i | −0.279013 | + | 0.483265i | ||||
\(394\) | 1.73117 | + | 0.999492i | 0.0872151 | + | 0.0503537i | ||||
\(395\) | −0.250697 | + | 0.0671742i | −0.0126140 | + | 0.00337990i | ||||
\(396\) | 0.190352 | − | 0.190352i | 0.00956552 | − | 0.00956552i | ||||
\(397\) | −7.65009 | − | 28.5505i | −0.383947 | − | 1.43291i | −0.839820 | − | 0.542864i | \(-0.817340\pi\) |
0.455874 | − | 0.890045i | \(-0.349327\pi\) | |||||||
\(398\) | −10.8440 | + | 10.8440i | −0.543559 | + | 0.543559i | ||||
\(399\) | 11.8490 | − | 5.20375i | 0.593194 | − | 0.260513i | ||||
\(400\) | 15.2812 | + | 8.82263i | 0.764062 | + | 0.441131i | ||||
\(401\) | −4.67580 | − | 4.67580i | −0.233499 | − | 0.233499i | 0.580653 | − | 0.814151i | \(-0.302797\pi\) |
−0.814151 | + | 0.580653i | \(0.802797\pi\) | |||||||
\(402\) | −9.43328 | + | 16.3389i | −0.470489 | + | 0.814911i | ||||
\(403\) | −14.7544 | + | 4.07750i | −0.734971 | + | 0.203115i | ||||
\(404\) | 0.597688 | − | 0.345075i | 0.0297361 | − | 0.0171681i | ||||
\(405\) | −3.52507 | + | 0.944538i | −0.175162 | + | 0.0469345i | ||||
\(406\) | −1.62969 | + | 14.7844i | −0.0808799 | + | 0.733736i | ||||
\(407\) | 14.0961 | − | 8.13841i | 0.698719 | − | 0.403406i | ||||
\(408\) | 1.87925 | + | 0.503545i | 0.0930369 | + | 0.0249292i | ||||
\(409\) | 1.68995 | + | 1.68995i | 0.0835625 | + | 0.0835625i | 0.747653 | − | 0.664090i | \(-0.231181\pi\) |
−0.664090 | + | 0.747653i | \(0.731181\pi\) | |||||||
\(410\) | −2.49703 | − | 2.49703i | −0.123320 | − | 0.123320i | ||||
\(411\) | −18.4248 | − | 4.93690i | −0.908827 | − | 0.243520i | ||||
\(412\) | −0.400697 | + | 0.231343i | −0.0197409 | + | 0.0113974i | ||||
\(413\) | −14.8444 | + | 6.51922i | −0.730444 | + | 0.320790i | ||||
\(414\) | 8.43384 | − | 2.25984i | 0.414501 | − | 0.111065i | ||||
\(415\) | −9.42364 | + | 5.44074i | −0.462588 | + | 0.267076i | ||||
\(416\) | 0.885682 | − | 0.899659i | 0.0434241 | − | 0.0441094i | ||||
\(417\) | 12.4678 | − | 21.5949i | 0.610553 | − | 1.05751i | ||||
\(418\) | −16.0260 | − | 16.0260i | −0.783855 | − | 0.783855i | ||||
\(419\) | 13.1791 | + | 7.60897i | 0.643842 | + | 0.371722i | 0.786093 | − | 0.618108i | \(-0.212101\pi\) |
−0.142251 | + | 0.989831i | \(0.545434\pi\) | |||||||
\(420\) | −0.157038 | − | 0.0173103i | −0.00766267 | − | 0.000844658i | ||||
\(421\) | −15.0076 | + | 15.0076i | −0.731425 | + | 0.731425i | −0.970902 | − | 0.239477i | \(-0.923024\pi\) |
0.239477 | + | 0.970902i | \(0.423024\pi\) | |||||||
\(422\) | 8.32216 | + | 31.0587i | 0.405116 | + | 1.51192i | ||||
\(423\) | 6.36797 | − | 6.36797i | 0.309621 | − | 0.309621i | ||||
\(424\) | −12.2027 | + | 3.26970i | −0.592615 | + | 0.158791i | ||||
\(425\) | 1.84647 | + | 1.06606i | 0.0895671 | + | 0.0517116i | ||||
\(426\) | 3.33965 | − | 5.78445i | 0.161807 | − | 0.280257i | ||||
\(427\) | −8.05874 | − | 10.0555i | −0.389990 | − | 0.486619i | ||||
\(428\) | − | 0.257033i | − | 0.0124241i | ||||||
\(429\) | −6.70716 | − | 24.2699i | −0.323825 | − | 1.17176i | ||||
\(430\) | −3.17157 | − | 1.83111i | −0.152947 | − | 0.0883039i | ||||
\(431\) | 29.0180 | + | 7.77536i | 1.39775 | + | 0.374526i | 0.877536 | − | 0.479511i | \(-0.159186\pi\) |
0.520213 | + | 0.854037i | \(0.325853\pi\) | |||||||
\(432\) | − | 21.8857i | − | 1.05298i | ||||||
\(433\) | −7.75396 | − | 13.4302i | −0.372631 | − | 0.645417i | 0.617338 | − | 0.786698i | \(-0.288211\pi\) |
−0.989969 | + | 0.141281i | \(0.954878\pi\) | |||||||
\(434\) | −12.2023 | + | 9.77930i | −0.585731 | + | 0.469421i | ||||
\(435\) | 3.76168 | + | 1.00794i | 0.180359 | + | 0.0483270i | ||||
\(436\) | 0.367911 | − | 0.0985813i | 0.0176197 | − | 0.00472119i | ||||
\(437\) | 6.07861 | + | 22.6857i | 0.290779 | + | 1.08520i | ||||
\(438\) | −0.235238 | −0.0112401 | ||||||||
\(439\) | 14.4339 | 0.688894 | 0.344447 | − | 0.938806i | \(-0.388067\pi\) | ||||
0.344447 | + | 0.938806i | \(0.388067\pi\) | |||||||
\(440\) | 2.38465 | + | 8.89962i | 0.113684 | + | 0.424273i | ||||
\(441\) | −6.02283 | + | 1.88967i | −0.286802 | + | 0.0899844i | ||||
\(442\) | −1.64768 | + | 1.67368i | −0.0783721 | + | 0.0796088i | ||||
\(443\) | 6.23855 | + | 10.8055i | 0.296403 | + | 0.513384i | 0.975310 | − | 0.220839i | \(-0.0708797\pi\) |
−0.678908 | + | 0.734224i | \(0.737546\pi\) | |||||||
\(444\) | −0.0783743 | + | 0.292497i | −0.00371948 | + | 0.0138813i | ||||
\(445\) | 3.21919 | + | 5.57580i | 0.152604 | + | 0.264318i | ||||
\(446\) | 2.57824 | − | 4.46564i | 0.122083 | − | 0.211454i | ||||
\(447\) | −3.85394 | − | 3.85394i | −0.182285 | − | 0.182285i | ||||
\(448\) | 7.90823 | − | 20.2937i | 0.373629 | − | 0.958786i | ||||
\(449\) | −7.24956 | + | 27.0557i | −0.342128 | + | 1.27684i | 0.553804 | + | 0.832647i | \(0.313176\pi\) |
−0.895932 | + | 0.444191i | \(0.853491\pi\) | |||||||
\(450\) | 1.48057 | − | 5.52556i | 0.0697948 | − | 0.260478i | ||||
\(451\) | 18.3689i | 0.864958i | ||||||||
\(452\) | 0.0595156 | − | 0.0343614i | 0.00279938 | − | 0.00161622i | ||||
\(453\) | −7.74413 | + | 7.74413i | −0.363851 | + | 0.363851i | ||||
\(454\) | −33.5616 | −1.57512 | ||||||||
\(455\) | 3.71881 | − | 5.14834i | 0.174341 | − | 0.241358i | ||||
\(456\) | 14.0407 | 0.657515 | ||||||||
\(457\) | −12.4557 | + | 12.4557i | −0.582653 | + | 0.582653i | −0.935631 | − | 0.352978i | \(-0.885169\pi\) |
0.352978 | + | 0.935631i | \(0.385169\pi\) | |||||||
\(458\) | −22.4789 | + | 12.9782i | −1.05037 | + | 0.606431i | ||||
\(459\) | − | 2.64451i | − | 0.123435i | ||||||
\(460\) | 0.0742082 | − | 0.276949i | 0.00345997 | − | 0.0129128i | ||||
\(461\) | 1.39627 | − | 5.21097i | 0.0650310 | − | 0.242699i | −0.925757 | − | 0.378118i | \(-0.876571\pi\) |
0.990788 | + | 0.135419i | \(0.0432381\pi\) | |||||||
\(462\) | −16.0862 | − | 20.0719i | −0.748396 | − | 0.933828i | ||||
\(463\) | −19.4789 | − | 19.4789i | −0.905259 | − | 0.905259i | 0.0906259 | − | 0.995885i | \(-0.471113\pi\) |
−0.995885 | + | 0.0906259i | \(0.971113\pi\) | |||||||
\(464\) | −7.81866 | + | 13.5423i | −0.362972 | + | 0.628686i | ||||
\(465\) | 2.04715 | + | 3.54577i | 0.0949345 | + | 0.164431i | ||||
\(466\) | 1.62957 | − | 6.08165i | 0.0754885 | − | 0.281727i | ||||
\(467\) | 4.79805 | + | 8.31047i | 0.222027 | + | 0.384563i | 0.955423 | − | 0.295239i | \(-0.0953992\pi\) |
−0.733396 | + | 0.679802i | \(0.762066\pi\) | |||||||
\(468\) | −0.175133 | − | 0.0992935i | −0.00809554 | − | 0.00458984i | ||||
\(469\) | 19.9516 | + | 14.6508i | 0.921281 | + | 0.676509i | ||||
\(470\) | 2.39567 | + | 8.94077i | 0.110504 | + | 0.412407i | ||||
\(471\) | 35.6902 | 1.64452 | ||||||||
\(472\) | −17.5901 | −0.809649 | ||||||||
\(473\) | 4.93042 | + | 18.4006i | 0.226701 | + | 0.846060i | ||||
\(474\) | 0.759352 | − | 0.203468i | 0.0348782 | − | 0.00934558i | ||||
\(475\) | 14.8629 | + | 3.98250i | 0.681956 | + | 0.182729i | ||||
\(476\) | 0.0278327 | − | 0.0714227i | 0.00127571 | − | 0.00327366i | ||||
\(477\) | 1.98434 | + | 3.43697i | 0.0908565 | + | 0.157368i | ||||
\(478\) | − | 21.9733i | − | 1.00504i | ||||||
\(479\) | −29.8944 | − | 8.01018i | −1.36591 | − | 0.365994i | −0.499927 | − | 0.866068i | \(-0.666640\pi\) |
−0.865983 | + | 0.500073i | \(0.833306\pi\) | |||||||
\(480\) | −0.292433 | − | 0.168836i | −0.0133477 | − | 0.00770628i | ||||
\(481\) | −8.67460 | − | 8.53984i | −0.395528 | − | 0.389383i | ||||
\(482\) | − | 10.5363i | − | 0.479916i | ||||||
\(483\) | 4.03633 | + | 26.3478i | 0.183659 | + | 1.19887i | ||||
\(484\) | 0.379055 | − | 0.656543i | 0.0172298 | − | 0.0298429i | ||||
\(485\) | −10.2781 | − | 5.93404i | −0.466703 | − | 0.269451i | ||||
\(486\) | −12.1229 | + | 3.24833i | −0.549908 | + | 0.147347i | ||||
\(487\) | 3.95701 | − | 3.95701i | 0.179309 | − | 0.179309i | −0.611745 | − | 0.791055i | \(-0.709532\pi\) |
0.791055 | + | 0.611745i | \(0.209532\pi\) | |||||||
\(488\) | −3.61853 | − | 13.5045i | −0.163803 | − | 0.611322i | ||||
\(489\) | −21.2660 | + | 21.2660i | −0.961680 | + | 0.961680i | ||||
\(490\) | 1.41316 | − | 6.33213i | 0.0638399 | − | 0.286056i | ||||
\(491\) | 12.0113 | + | 6.93474i | 0.542063 | + | 0.312960i | 0.745915 | − | 0.666041i | \(-0.232013\pi\) |
−0.203851 | + | 0.979002i | \(0.565346\pi\) | |||||||
\(492\) | −0.241644 | − | 0.241644i | −0.0108942 | − | 0.0108942i | ||||
\(493\) | −0.944750 | + | 1.63635i | −0.0425494 | + | 0.0736977i | ||||
\(494\) | −8.35965 | + | 14.7447i | −0.376119 | + | 0.663396i | ||||
\(495\) | 2.50664 | − | 1.44721i | 0.112665 | − | 0.0650472i | ||||
\(496\) | −15.8799 | + | 4.25501i | −0.713030 | + | 0.191056i | ||||
\(497\) | −7.06345 | − | 5.18679i | −0.316839 | − | 0.232659i | ||||
\(498\) | 28.5438 | − | 16.4798i | 1.27908 | − | 0.738477i | ||||
\(499\) | 8.83159 | + | 2.36642i | 0.395356 | + | 0.105935i | 0.451019 | − | 0.892514i | \(-0.351061\pi\) |
−0.0556630 | + | 0.998450i | \(0.517727\pi\) | |||||||
\(500\) | −0.278578 | − | 0.278578i | −0.0124584 | − | 0.0124584i | ||||
\(501\) | 17.9454 | + | 17.9454i | 0.801740 | + | 0.801740i | ||||
\(502\) | 28.5522 | + | 7.65055i | 1.27435 | + | 0.341461i | ||||
\(503\) | −27.9587 | + | 16.1420i | −1.24662 | + | 0.719736i | −0.970434 | − | 0.241369i | \(-0.922404\pi\) |
−0.276185 | + | 0.961104i | \(0.589070\pi\) | |||||||
\(504\) | −6.80730 | − | 0.750371i | −0.303221 | − | 0.0334242i | ||||
\(505\) | 7.16766 | − | 1.92057i | 0.318957 | − | 0.0854642i | ||||
\(506\) | 40.4270 | − | 23.3405i | 1.79720 | − | 1.03761i | ||||
\(507\) | −16.1586 | + | 9.66962i | −0.717630 | + | 0.429443i | ||||
\(508\) | −0.616864 | + | 1.06844i | −0.0273689 | + | 0.0474043i | ||||
\(509\) | −8.53926 | − | 8.53926i | −0.378496 | − | 0.378496i | 0.492063 | − | 0.870559i | \(-0.336243\pi\) |
−0.870559 | + | 0.492063i | \(0.836243\pi\) | |||||||
\(510\) | 0.544027 | + | 0.314094i | 0.0240899 | + | 0.0139083i | ||||
\(511\) | −0.0338159 | + | 0.306775i | −0.00149593 | + | 0.0135709i | ||||
\(512\) | 16.6785 | − | 16.6785i | 0.737091 | − | 0.737091i | ||||
\(513\) | −4.93955 | − | 18.4347i | −0.218087 | − | 0.813910i | ||||
\(514\) | 24.8472 | − | 24.8472i | 1.09596 | − | 1.09596i | ||||
\(515\) | −4.80529 | + | 1.28757i | −0.211746 | + | 0.0567372i | ||||
\(516\) | −0.306921 | − | 0.177201i | −0.0135114 | − | 0.00780084i | ||||
\(517\) | 24.0738 | − | 41.6971i | 1.05877 | − | 1.83384i | ||||
\(518\) | −11.5866 | − | 4.51516i | −0.509085 | − | 0.198385i | ||||
\(519\) | 8.57618i | 0.376452i | ||||||||
\(520\) | 5.94018 | − | 3.49185i | 0.260494 | − | 0.153128i | ||||
\(521\) | 10.1929 | + | 5.88486i | 0.446558 | + | 0.257821i | 0.706376 | − | 0.707837i | \(-0.250329\pi\) |
−0.259817 | + | 0.965658i | \(0.583662\pi\) | |||||||
\(522\) | 4.89678 | + | 1.31209i | 0.214326 | + | 0.0574286i | ||||
\(523\) | 15.3301i | 0.670337i | 0.942158 | + | 0.335168i | \(0.108793\pi\) | ||||
−0.942158 | + | 0.335168i | \(0.891207\pi\) | |||||||
\(524\) | 0.236442 | + | 0.409529i | 0.0103290 | + | 0.0178904i | ||||
\(525\) | 16.2717 | + | 6.34091i | 0.710156 | + | 0.276740i | ||||
\(526\) | 0.408840 | + | 0.109548i | 0.0178263 | + | 0.00477654i | ||||
\(527\) | −1.91881 | + | 0.514145i | −0.0835849 | + | 0.0223965i | ||||
\(528\) | −6.99916 | − | 26.1212i | −0.304599 | − | 1.13678i | ||||
\(529\) | −25.3737 | −1.10321 | ||||||||
\(530\) | −4.07906 | −0.177183 | ||||||||
\(531\) | 1.43020 | + | 5.33758i | 0.0620654 | + | 0.231631i | ||||
\(532\) | 0.0606124 | − | 0.549870i | 0.00262788 | − | 0.0238399i | ||||
\(533\) | 13.2411 | − | 3.65927i | 0.573535 | − | 0.158501i | ||||
\(534\) | −9.75079 | − | 16.8889i | −0.421958 | − | 0.730852i | ||||
\(535\) | 0.715277 | − | 2.66945i | 0.0309241 | − | 0.115410i | ||||
\(536\) | 13.4279 | + | 23.2577i | 0.579995 | + | 1.00458i | ||||
\(537\) | −2.73059 | + | 4.72952i | −0.117834 | + | 0.204094i | ||||
\(538\) | 17.6586 | + | 17.6586i | 0.761318 | + | 0.761318i | ||||
\(539\) | −28.4883 | + | 18.0927i | −1.22708 | + | 0.779307i | ||||
\(540\) | −0.0603024 | + | 0.225052i | −0.00259500 | + | 0.00968469i | ||||
\(541\) | −3.88929 | + | 14.5150i | −0.167214 | + | 0.624050i | 0.830534 | + | 0.556968i | \(0.188036\pi\) |
−0.997747 | + | 0.0670818i | \(0.978631\pi\) | |||||||
\(542\) | − | 18.0764i | − | 0.776450i | ||||||
\(543\) | −7.13663 | + | 4.12034i | −0.306262 | + | 0.176821i | ||||
\(544\) | 0.115848 | − | 0.115848i | 0.00496695 | − | 0.00496695i | ||||
\(545\) | 4.09532 | 0.175424 | ||||||||
\(546\) | −11.2641 | + | 15.5941i | −0.482060 | + | 0.667366i | ||||
\(547\) | 20.0277 | 0.856322 | 0.428161 | − | 0.903702i | \(-0.359162\pi\) | ||||
0.428161 | + | 0.903702i | \(0.359162\pi\) | |||||||
\(548\) | −0.576562 | + | 0.576562i | −0.0246295 | + | 0.0246295i | ||||
\(549\) | −3.80364 | + | 2.19603i | −0.162336 | + | 0.0937245i | ||||
\(550\) | − | 30.5838i | − | 1.30410i | ||||||
\(551\) | −3.52931 | + | 13.1716i | −0.150354 | + | 0.561127i | ||||
\(552\) | −7.48490 | + | 27.9340i | −0.318579 | + | 1.18895i | ||||
\(553\) | −0.156185 | − | 1.01952i | −0.00664167 | − | 0.0433546i | ||||
\(554\) | −6.11594 | − | 6.11594i | −0.259841 | − | 0.259841i | ||||
\(555\) | −1.62794 | + | 2.81967i | −0.0691020 | + | 0.119688i | ||||
\(556\) | −0.532959 | − | 0.923113i | −0.0226025 | − | 0.0391487i | ||||
\(557\) | 0.644961 | − | 2.40703i | 0.0273279 | − | 0.101989i | −0.950915 | − | 0.309453i | \(-0.899854\pi\) |
0.978243 | + | 0.207464i | \(0.0665209\pi\) | |||||||
\(558\) | 2.66489 | + | 4.61573i | 0.112814 | + | 0.195399i | ||||
\(559\) | 12.2817 | − | 7.21964i | 0.519462 | − | 0.305358i | ||||
\(560\) | 4.03713 | − | 5.49783i | 0.170600 | − | 0.232326i | ||||
\(561\) | −0.845727 | − | 3.15630i | −0.0357066 | − | 0.133259i | ||||
\(562\) | −3.40288 | −0.143542 | ||||||||
\(563\) | 19.7161 | 0.830933 | 0.415467 | − | 0.909608i | \(-0.363618\pi\) | ||||
0.415467 | + | 0.909608i | \(0.363618\pi\) | |||||||
\(564\) | 0.231835 | + | 0.865221i | 0.00976202 | + | 0.0364324i | ||||
\(565\) | 0.713730 | − | 0.191243i | 0.0300268 | − | 0.00804567i | ||||
\(566\) | 24.2266 | + | 6.49150i | 1.01832 | + | 0.272858i | ||||
\(567\) | −2.19613 | − | 14.3356i | −0.0922286 | − | 0.602037i | ||||
\(568\) | −4.75385 | − | 8.23391i | −0.199467 | − | 0.345487i | ||||
\(569\) | − | 44.6858i | − | 1.87333i | −0.350230 | − | 0.936664i | \(-0.613897\pi\) | ||
0.350230 | − | 0.936664i | \(-0.386103\pi\) | |||||||
\(570\) | 4.37906 | + | 1.17336i | 0.183418 | + | 0.0491468i | ||||
\(571\) | 23.8503 | + | 13.7700i | 0.998103 | + | 0.576255i | 0.907686 | − | 0.419649i | \(-0.137847\pi\) |
0.0904162 | + | 0.995904i | \(0.471180\pi\) | |||||||
\(572\) | −1.04182 | − | 0.270431i | −0.0435607 | − | 0.0113073i | ||||
\(573\) | 13.2796i | 0.554763i | ||||||||
\(574\) | 10.9507 | − | 8.77623i | 0.457075 | − | 0.366313i | ||||
\(575\) | −15.8464 | + | 27.4468i | −0.660841 | + | 1.14461i | ||||
\(576\) | −6.42884 | − | 3.71169i | −0.267868 | − | 0.154654i | ||||
\(577\) | 17.7698 | − | 4.76139i | 0.739765 | − | 0.198219i | 0.130791 | − | 0.991410i | \(-0.458248\pi\) |
0.608974 | + | 0.793190i | \(0.291582\pi\) | |||||||
\(578\) | 16.5193 | − | 16.5193i | 0.687110 | − | 0.687110i | ||||
\(579\) | −9.52691 | − | 35.5549i | −0.395925 | − | 1.47761i | ||||
\(580\) | 0.117713 | − | 0.117713i | 0.00488778 | − | 0.00488778i | ||||
\(581\) | −17.3882 | − | 39.5932i | −0.721382 | − | 1.64260i | ||||
\(582\) | 31.1318 | + | 17.9740i | 1.29046 | + | 0.745045i | ||||
\(583\) | 15.0034 | + | 15.0034i | 0.621377 | + | 0.621377i | ||||
\(584\) | −0.167425 | + | 0.289989i | −0.00692811 | + | 0.0119998i | ||||
\(585\) | −1.54256 | − | 1.51859i | −0.0637769 | − | 0.0627861i | ||||
\(586\) | −5.46930 | + | 3.15770i | −0.225935 | + | 0.130444i | ||||
\(587\) | −20.1767 | + | 5.40633i | −0.832781 | + | 0.223143i | −0.649927 | − | 0.759997i | \(-0.725200\pi\) |
−0.182855 | + | 0.983140i | \(0.558534\pi\) | |||||||
\(588\) | 0.136755 | − | 0.612776i | 0.00563967 | − | 0.0252704i | ||||
\(589\) | −12.4156 | + | 7.16813i | −0.511574 | + | 0.295358i | ||||
\(590\) | −5.48605 | − | 1.46998i | −0.225857 | − | 0.0605182i | ||||
\(591\) | 1.47074 | + | 1.47074i | 0.0604982 | + | 0.0604982i | ||||
\(592\) | −9.24435 | − | 9.24435i | −0.379940 | − | 0.379940i | ||||
\(593\) | 8.55614 | + | 2.29261i | 0.351358 | + | 0.0941462i | 0.430182 | − | 0.902742i | \(-0.358450\pi\) |
−0.0788231 | + | 0.996889i | \(0.525116\pi\) | |||||||
\(594\) | −32.8514 | + | 18.9668i | −1.34791 | + | 0.778217i | ||||
\(595\) | 0.487817 | − | 0.664318i | 0.0199986 | − | 0.0272344i | ||||
\(596\) | −0.225044 | + | 0.0603003i | −0.00921815 | + | 0.00247000i | ||||
\(597\) | −13.8190 | + | 7.97838i | −0.565573 | + | 0.326534i | ||||
\(598\) | −24.8783 | − | 24.4918i | −1.01735 | − | 1.00154i | ||||
\(599\) | 18.1377 | − | 31.4154i | 0.741087 | − | 1.28360i | −0.210914 | − | 0.977505i | \(-0.567644\pi\) |
0.952001 | − | 0.306096i | \(-0.0990227\pi\) | |||||||
\(600\) | 13.3976 | + | 13.3976i | 0.546954 | + | 0.546954i | ||||
\(601\) | 30.7163 | + | 17.7340i | 1.25294 | + | 0.723387i | 0.971693 | − | 0.236248i | \(-0.0759177\pi\) |
0.281250 | + | 0.959635i | \(0.409251\pi\) | |||||||
\(602\) | 8.61399 | − | 11.7307i | 0.351080 | − | 0.478107i | ||||
\(603\) | 5.96562 | − | 5.96562i | 0.242939 | − | 0.242939i | ||||
\(604\) | 0.121168 | + | 0.452204i | 0.00493024 | + | 0.0183999i | ||||
\(605\) | 5.76378 | − | 5.76378i | 0.234331 | − | 0.234331i | ||||
\(606\) | −21.7105 | + | 5.81732i | −0.881930 | + | 0.236313i | ||||
\(607\) | −22.2647 | − | 12.8545i | −0.903697 | − | 0.521749i | −0.0252989 | − | 0.999680i | \(-0.508054\pi\) |
−0.878398 | + | 0.477930i | \(0.841387\pi\) | |||||||
\(608\) | 0.591182 | − | 1.02396i | 0.0239756 | − | 0.0415269i | ||||
\(609\) | −5.61935 | + | 14.4201i | −0.227708 | + | 0.584331i | ||||
\(610\) | − | 4.51424i | − | 0.182776i | ||||||
\(611\) | −34.8528 | − | 9.04695i | −1.40999 | − | 0.366000i | ||||
\(612\) | −0.0226260 | − | 0.0130632i | −0.000914604 | − | 0.000528047i | ||||
\(613\) | 44.0688 | + | 11.8082i | 1.77992 | + | 0.476928i | 0.990569 | − | 0.137013i | \(-0.0437501\pi\) |
0.789352 | + | 0.613941i | \(0.210417\pi\) | |||||||
\(614\) | 22.7082i | 0.916427i | ||||||||
\(615\) | −1.83718 | − | 3.18208i | −0.0740821 | − | 0.128314i | ||||
\(616\) | −36.1926 | + | 5.54449i | −1.45824 | + | 0.223394i | ||||
\(617\) | 35.5733 | + | 9.53183i | 1.43213 | + | 0.383737i | 0.889769 | − | 0.456411i | \(-0.150865\pi\) |
0.542357 | + | 0.840148i | \(0.317532\pi\) | |||||||
\(618\) | 14.5550 | − | 3.90000i | 0.585489 | − | 0.156881i | ||||
\(619\) | −1.37524 | − | 5.13248i | −0.0552757 | − | 0.206292i | 0.932765 | − | 0.360485i | \(-0.117389\pi\) |
−0.988041 | + | 0.154193i | \(0.950722\pi\) | |||||||
\(620\) | 0.175018 | 0.00702890 | ||||||||
\(621\) | 39.3091 | 1.57742 | ||||||||
\(622\) | 3.90895 | + | 14.5884i | 0.156734 | + | 0.584941i | ||||
\(623\) | −23.4266 | + | 10.2883i | −0.938565 | + | 0.412190i | ||||
\(624\) | −17.4350 | + | 10.2489i | −0.697957 | + | 0.410284i | ||||
\(625\) | 9.27392 | + | 16.0629i | 0.370957 | + | 0.642516i | ||||
\(626\) | 2.58956 | − | 9.66437i | 0.103500 | − | 0.386266i | ||||
\(627\) | −11.7910 | − | 20.4226i | −0.470887 | − | 0.815601i | ||||
\(628\) | 0.762819 | − | 1.32124i | 0.0304398 | − | 0.0527233i | ||||
\(629\) | −1.11702 | − | 1.11702i | −0.0445385 | − | 0.0445385i | ||||
\(630\) | −2.06038 | − | 0.802907i | −0.0820874 | − | 0.0319886i | ||||
\(631\) | −3.50380 | + | 13.0763i | −0.139484 | + | 0.520561i | 0.860455 | + | 0.509526i | \(0.170179\pi\) |
−0.999939 | + | 0.0110350i | \(0.996487\pi\) | |||||||
\(632\) | 0.289627 | − | 1.08090i | 0.0115208 | − | 0.0429961i | ||||
\(633\) | 33.4566i | 1.32978i | ||||||||
\(634\) | −11.4167 | + | 6.59143i | −0.453415 | + | 0.261779i | ||||
\(635\) | −9.37981 | + | 9.37981i | −0.372226 | + | 0.372226i | ||||
\(636\) | −0.394741 | −0.0156525 | ||||||||
\(637\) | 18.7171 | + | 16.9313i | 0.741600 | + | 0.670843i | ||||
\(638\) | 27.1035 | 1.07304 | ||||||||
\(639\) | −2.11200 | + | 2.11200i | −0.0835494 | + | 0.0835494i | ||||
\(640\) | 6.20389 | − | 3.58182i | 0.245230 | − | 0.141584i | ||||
\(641\) | − | 21.4184i | − | 0.845978i | −0.906135 | − | 0.422989i | \(-0.860981\pi\) | ||
0.906135 | − | 0.422989i | \(-0.139019\pi\) | |||||||
\(642\) | −2.16654 | + | 8.08566i | −0.0855067 | + | 0.319115i | ||||
\(643\) | −3.68080 | + | 13.7369i | −0.145157 | + | 0.541732i | 0.854592 | + | 0.519300i | \(0.173807\pi\) |
−0.999748 | + | 0.0224315i | \(0.992859\pi\) | |||||||
\(644\) | 1.06166 | + | 0.413717i | 0.0418352 | + | 0.0163027i | ||||
\(645\) | −2.69445 | − | 2.69445i | −0.106094 | − | 0.106094i | ||||
\(646\) | −1.09980 | + | 1.90492i | −0.0432712 | + | 0.0749480i | ||||
\(647\) | 10.2738 | + | 17.7948i | 0.403906 | + | 0.699585i | 0.994193 | − | 0.107608i | \(-0.0343191\pi\) |
−0.590288 | + | 0.807193i | \(0.700986\pi\) | |||||||
\(648\) | 4.07246 | − | 15.1986i | 0.159981 | − | 0.597059i | ||||
\(649\) | 14.7717 | + | 25.5853i | 0.579839 | + | 1.00431i | ||||
\(650\) | −22.0461 | + | 6.09261i | −0.864720 | + | 0.238972i | ||||
\(651\) | −14.8975 | + | 6.54253i | −0.583878 | + | 0.256422i | ||||
\(652\) | 0.332736 | + | 1.24179i | 0.0130309 | + | 0.0486321i | ||||
\(653\) | −43.6957 | −1.70994 | −0.854972 | − | 0.518675i | \(-0.826426\pi\) | ||||
−0.854972 | + | 0.518675i | \(0.826426\pi\) | |||||||
\(654\) | −12.4046 | −0.485057 | ||||||||
\(655\) | 1.31595 | + | 4.91120i | 0.0514185 | + | 0.191896i | ||||
\(656\) | 14.2511 | − | 3.81857i | 0.556413 | − | 0.149090i | ||||
\(657\) | 0.101608 | + | 0.0272258i | 0.00396411 | + | 0.00106218i | ||||
\(658\) | −36.3599 | + | 5.57012i | −1.41746 | + | 0.217146i | ||||
\(659\) | −6.26381 | − | 10.8492i | −0.244003 | − | 0.422626i | 0.717848 | − | 0.696200i | \(-0.245127\pi\) |
−0.961851 | + | 0.273574i | \(0.911794\pi\) | |||||||
\(660\) | 0.287891i | 0.0112061i | ||||||||
\(661\) | 22.2227 | + | 5.95454i | 0.864361 | + | 0.231605i | 0.663648 | − | 0.748045i | \(-0.269007\pi\) |
0.200713 | + | 0.979650i | \(0.435674\pi\) | |||||||
\(662\) | −7.15407 | − | 4.13040i | −0.278051 | − | 0.160533i | ||||
\(663\) | −2.10671 | + | 1.23840i | −0.0818180 | + | 0.0480956i | ||||
\(664\) | − | 46.9165i | − | 1.82071i | ||||||
\(665\) | 2.15969 | − | 5.54208i | 0.0837492 | − | 0.214913i | ||||
\(666\) | −2.11917 | + | 3.67051i | −0.0821163 | + | 0.142230i | ||||
\(667\) | −24.3235 | − | 14.0432i | −0.941809 | − | 0.543754i | ||||
\(668\) | 1.04789 | − | 0.280780i | 0.0405439 | − | 0.0108637i | ||||
\(669\) | 3.79385 | − | 3.79385i | 0.146679 | − | 0.146679i | ||||
\(670\) | 2.24430 | + | 8.37585i | 0.0867050 | + | 0.323587i | ||||
\(671\) | −16.6040 | + | 16.6040i | −0.640991 | + | 0.640991i | ||||
\(672\) | 0.794248 | − | 1.08162i | 0.0306388 | − | 0.0417244i | ||||
\(673\) | −12.0684 | − | 6.96769i | −0.465202 | − | 0.268585i | 0.249027 | − | 0.968497i | \(-0.419889\pi\) |
−0.714229 | + | 0.699912i | \(0.753223\pi\) | |||||||
\(674\) | 15.7944 | + | 15.7944i | 0.608379 | + | 0.608379i | ||||
\(675\) | 12.8770 | − | 22.3036i | 0.495635 | − | 0.858466i | ||||
\(676\) | 0.0126027 | + | 0.804860i | 0.000484719 | + | 0.0309562i | ||||
\(677\) | 44.8299 | − | 25.8826i | 1.72295 | − | 0.994747i | 0.810296 | − | 0.586020i | \(-0.199306\pi\) |
0.912657 | − | 0.408727i | \(-0.134027\pi\) | |||||||
\(678\) | −2.16186 | + | 0.579268i | −0.0830257 | + | 0.0222467i | ||||
\(679\) | 27.9152 | − | 38.0154i | 1.07129 | − | 1.45890i | ||||
\(680\) | 0.774399 | − | 0.447100i | 0.0296969 | − | 0.0171455i | ||||
\(681\) | −33.7309 | − | 9.03816i | −1.29257 | − | 0.346343i | ||||
\(682\) | 20.1490 | + | 20.1490i | 0.771545 | + | 0.771545i | ||||
\(683\) | −20.1791 | − | 20.1791i | −0.772131 | − | 0.772131i | 0.206348 | − | 0.978479i | \(-0.433842\pi\) |
−0.978479 | + | 0.206348i | \(0.933842\pi\) | |||||||
\(684\) | −0.182125 | − | 0.0488001i | −0.00696371 | − | 0.00186592i | ||||
\(685\) | −7.59245 | + | 4.38350i | −0.290092 | + | 0.167485i | ||||
\(686\) | 24.3971 | + | 8.33921i | 0.931486 | + | 0.318393i | ||||
\(687\) | −26.0873 | + | 6.99008i | −0.995294 | + | 0.266688i | ||||
\(688\) | 13.2508 | − | 7.65033i | 0.505180 | − | 0.291666i | ||||
\(689\) | 7.82625 | − | 13.8039i | 0.298156 | − | 0.525887i | ||||
\(690\) | −4.66883 | + | 8.08666i | −0.177739 | + | 0.307854i | ||||
\(691\) | −13.2476 | − | 13.2476i | −0.503963 | − | 0.503963i | 0.408704 | − | 0.912667i | \(-0.365981\pi\) |
−0.912667 | + | 0.408704i | \(0.865981\pi\) | |||||||
\(692\) | 0.317488 | + | 0.183302i | 0.0120691 | + | 0.00696809i | ||||
\(693\) | 4.62516 | + | 10.5316i | 0.175695 | + | 0.400061i | ||||
\(694\) | −22.5796 | + | 22.5796i | −0.857108 | + | 0.857108i | ||||
\(695\) | −2.96627 | − | 11.0703i | −0.112517 | − | 0.419919i | ||||
\(696\) | −11.8730 | + | 11.8730i | −0.450045 | + | 0.450045i | ||||
\(697\) | 1.72200 | − | 0.461409i | 0.0652254 | − | 0.0174771i | ||||
\(698\) | 17.2221 | + | 9.94320i | 0.651867 | + | 0.376356i | ||||
\(699\) | 3.27559 | − | 5.67348i | 0.123894 | − | 0.214591i | ||||
\(700\) | 0.582520 | − | 0.466848i | 0.0220172 | − | 0.0176452i | ||||
\(701\) | 20.1282i | 0.760231i | 0.924939 | + | 0.380115i | \(0.124116\pi\) | ||||
−0.924939 | + | 0.380115i | \(0.875884\pi\) | |||||||
\(702\) | 20.2164 | + | 19.9023i | 0.763019 | + | 0.751165i | ||||
\(703\) | −9.87309 | − | 5.70023i | −0.372371 | − | 0.214988i | ||||
\(704\) | −38.3358 | − | 10.2720i | −1.44484 | − | 0.387142i | ||||
\(705\) | 9.63103i | 0.362726i | ||||||||
\(706\) | 3.23732 | + | 5.60721i | 0.121838 | + | 0.211030i | ||||
\(707\) | 4.46547 | + | 29.1491i | 0.167941 | + | 1.09626i | ||||
\(708\) | −0.530899 | − | 0.142254i | −0.0199524 | − | 0.00534623i | ||||
\(709\) | 4.16243 | − | 1.11532i | 0.156323 | − | 0.0418867i | −0.179809 | − | 0.983702i | \(-0.557548\pi\) |
0.336132 | + | 0.941815i | \(0.390881\pi\) | |||||||
\(710\) | −0.794548 | − | 2.96529i | −0.0298189 | − | 0.111285i | ||||
\(711\) | −0.351542 | −0.0131838 | ||||||||
\(712\) | −27.7596 | −1.04034 | ||||||||
\(713\) | −7.64247 | − | 28.5221i | −0.286213 | − | 1.06816i | ||||
\(714\) | −1.47758 | + | 2.01219i | −0.0552970 | + | 0.0753043i | ||||
\(715\) | −10.0674 | − | 5.70781i | −0.376500 | − | 0.213460i | ||||
\(716\) | 0.116724 | + | 0.202172i | 0.00436217 | + | 0.00755550i | ||||
\(717\) | 5.91744 | − | 22.0842i | 0.220991 | − | 0.824749i | ||||
\(718\) | 12.6512 | + | 21.9125i | 0.472138 | + | 0.817767i | ||||
\(719\) | −15.9230 | + | 27.5794i | −0.593827 | + | 1.02854i | 0.399884 | + | 0.916566i | \(0.369050\pi\) |
−0.993711 | + | 0.111973i | \(0.964283\pi\) | |||||||
\(720\) | −1.64387 | − | 1.64387i | −0.0612635 | − | 0.0612635i | ||||
\(721\) | −2.99371 | − | 19.5419i | −0.111491 | − | 0.727779i | ||||
\(722\) | 2.73743 | − | 10.2162i | 0.101877 | − | 0.380209i | ||||
\(723\) | 2.83744 | − | 10.5895i | 0.105525 | − | 0.393826i | ||||
\(724\) | 0.352262i | 0.0130917i | ||||||||
\(725\) | −15.9359 | + | 9.20060i | −0.591845 | + | 0.341702i | ||||
\(726\) | −17.4583 | + | 17.4583i | −0.647936 | + | 0.647936i | ||||
\(727\) | −49.3169 | −1.82906 | −0.914531 | − | 0.404516i | \(-0.867440\pi\) | ||||
−0.914531 | + | 0.404516i | \(0.867440\pi\) | |||||||
\(728\) | 11.2066 | + | 24.9846i | 0.415345 | + | 0.925991i | ||||
\(729\) | −29.5035 | −1.09272 | ||||||||
\(730\) | −0.0764512 | + | 0.0764512i | −0.00282959 | + | 0.00282959i | ||||
\(731\) | 1.60112 | − | 0.924410i | 0.0592197 | − | 0.0341905i | ||||
\(732\) | − | 0.436854i | − | 0.0161466i | ||||||
\(733\) | 4.21647 | − | 15.7361i | 0.155739 | − | 0.581226i | −0.843302 | − | 0.537440i | \(-0.819391\pi\) |
0.999041 | − | 0.0437858i | \(-0.0139419\pi\) | |||||||
\(734\) | −5.28022 | + | 19.7061i | −0.194896 | + | 0.727364i | ||||
\(735\) | 3.12553 | − | 5.98351i | 0.115287 | − | 0.220705i | ||||
\(736\) | 1.72202 | + | 1.72202i | 0.0634744 | + | 0.0634744i | ||||
\(737\) | 22.5527 | − | 39.0625i | 0.830741 | − | 1.43888i | ||||
\(738\) | −2.39155 | − | 4.14229i | −0.0880343 | − | 0.152480i | ||||
\(739\) | 6.53382 | − | 24.3845i | 0.240350 | − | 0.897000i | −0.735313 | − | 0.677727i | \(-0.762965\pi\) |
0.975664 | − | 0.219273i | \(-0.0703684\pi\) | |||||||
\(740\) | 0.0695889 | + | 0.120532i | 0.00255814 | + | 0.00443083i | ||||
\(741\) | −12.3726 | + | 12.5678i | −0.454519 | + | 0.461691i | ||||
\(742\) | 1.77610 | − | 16.1126i | 0.0652027 | − | 0.591513i | ||||
\(743\) | 2.17652 | + | 8.12290i | 0.0798489 | + | 0.298000i | 0.994289 | − | 0.106721i | \(-0.0340352\pi\) |
−0.914440 | + | 0.404721i | \(0.867369\pi\) | |||||||
\(744\) | −17.6530 | −0.647189 | ||||||||
\(745\) | −2.50503 | −0.0917772 | ||||||||
\(746\) | 2.06287 | + | 7.69874i | 0.0755270 | + | 0.281871i | ||||
\(747\) | −14.2365 | + | 3.81465i | −0.520886 | + | 0.139571i | ||||
\(748\) | −0.134921 | − | 0.0361521i | −0.00493321 | − | 0.00132185i | ||||
\(749\) | 10.2331 | + | 3.98773i | 0.373910 | + | 0.145709i | ||||
\(750\) | 6.41526 | + | 11.1116i | 0.234252 | + | 0.405737i | ||||
\(751\) | 34.1800i | 1.24725i | 0.781725 | + | 0.623623i | \(0.214340\pi\) | ||||
−0.781725 | + | 0.623623i | \(0.785660\pi\) | |||||||
\(752\) | −37.3543 | − | 10.0091i | −1.36217 | − | 0.364993i | ||||
\(753\) | 26.6360 | + | 15.3783i | 0.970669 | + | 0.560416i | ||||
\(754\) | −5.39930 | − | 19.5374i | −0.196631 | − | 0.711509i | ||||
\(755\) | 5.03362i | 0.183192i | ||||||||
\(756\) | −0.862717 | − | 0.336192i | −0.0313767 | − | 0.0122272i | ||||
\(757\) | −6.77459 | + | 11.7339i | −0.246227 | + | 0.426477i | −0.962476 | − | 0.271368i | \(-0.912524\pi\) |
0.716249 | + | 0.697845i | \(0.245857\pi\) | |||||||
\(758\) | 1.31983 | + | 0.762002i | 0.0479382 | + | 0.0276771i | ||||
\(759\) | 46.9166 | − | 12.5713i | 1.70296 | − | 0.456308i | ||||
\(760\) | 4.56316 | − | 4.56316i | 0.165523 | − | 0.165523i | ||||
\(761\) | −5.17326 | − | 19.3069i | −0.187531 | − | 0.699873i | −0.994075 | − | 0.108700i | \(-0.965331\pi\) |
0.806544 | − | 0.591174i | \(-0.201335\pi\) | |||||||
\(762\) | 28.4110 | − | 28.4110i | 1.02922 | − | 1.02922i | ||||
\(763\) | −1.78318 | + | 16.1769i | −0.0645555 | + | 0.585642i | ||||
\(764\) | 0.491608 | + | 0.283830i | 0.0177857 | + | 0.0102686i | ||||
\(765\) | −0.198634 | − | 0.198634i | −0.00718161 | − | 0.00718161i | ||||
\(766\) | 0.354954 | − | 0.614799i | 0.0128250 | − | 0.0222136i | ||||
\(767\) | 15.5003 | − | 15.7449i | 0.559683 | − | 0.568515i | ||||
\(768\) | 1.86243 | − | 1.07527i | 0.0672045 | − | 0.0388005i | ||||
\(769\) | 30.3963 | − | 8.14467i | 1.09612 | − | 0.293704i | 0.334936 | − | 0.942241i | \(-0.391285\pi\) |
0.761184 | + | 0.648536i | \(0.224619\pi\) | |||||||
\(770\) | −11.7512 | − | 1.29534i | −0.423484 | − | 0.0466808i | ||||
\(771\) | 31.6639 | − | 18.2812i | 1.14035 | − | 0.658381i | ||||
\(772\) | −1.51986 | − | 0.407244i | −0.0547008 | − | 0.0146570i | ||||
\(773\) | −27.0775 | − | 27.0775i | −0.973910 | − | 0.973910i | 0.0257585 | − | 0.999668i | \(-0.491800\pi\) |
−0.999668 | + | 0.0257585i | \(0.991800\pi\) | |||||||
\(774\) | −3.50752 | − | 3.50752i | −0.126075 | − | 0.126075i | ||||
\(775\) | −18.6867 | − | 5.00708i | −0.671246 | − | 0.179860i | ||||
\(776\) | 44.3148 | − | 25.5852i | 1.59081 | − | 0.918453i | ||||
\(777\) | −10.4291 | − | 7.65822i | −0.374141 | − | 0.274737i | ||||
\(778\) | 27.6601 | − | 7.41149i | 0.991661 | − | 0.265715i | ||||
\(779\) | 11.1421 | − | 6.43289i | 0.399207 | − | 0.230482i | ||||
\(780\) | 0.207524 | − | 0.0573508i | 0.00743055 | − | 0.00205349i | ||||
\(781\) | −7.98432 | + | 13.8292i | −0.285701 | + | 0.494849i | ||||
\(782\) | −3.20356 | − | 3.20356i | −0.114559 | − | 0.114559i | ||||
\(783\) | 19.7656 | + | 11.4116i | 0.706363 | + | 0.407819i | ||||
\(784\) | 19.9590 | + | 18.3409i | 0.712823 | + | 0.655031i | ||||
\(785\) | 11.5992 | − | 11.5992i | 0.413992 | − | 0.413992i | ||||
\(786\) | −3.98596 | − | 14.8758i | −0.142175 | − | 0.530603i | ||||
\(787\) | −15.6978 | + | 15.6978i | −0.559566 | + | 0.559566i | −0.929184 | − | 0.369618i | \(-0.879489\pi\) |
0.369618 | + | 0.929184i | \(0.379489\pi\) | |||||||
\(788\) | 0.0858811 | − | 0.0230118i | 0.00305939 | − | 0.000819760i | ||||
\(789\) | 0.381401 | + | 0.220202i | 0.0135782 | + | 0.00783940i | ||||
\(790\) | 0.180660 | − | 0.312912i | 0.00642759 | − | 0.0111329i | ||||
\(791\) | 0.444656 | + | 2.90256i | 0.0158101 | + | 0.103203i | ||||
\(792\) | 12.4795i | 0.443441i | ||||||||
\(793\) | 15.2766 | + | 8.66119i | 0.542487 | + | 0.307568i | ||||
\(794\) | 35.6358 | + | 20.5743i | 1.26467 | + | 0.730156i | ||||
\(795\) | −4.09964 | − | 1.09850i | −0.145399 | − | 0.0389596i | ||||
\(796\) | 0.682100i | 0.0241764i | ||||||||
\(797\) | 15.2784 | + | 26.4630i | 0.541189 | + | 0.937367i | 0.998836 | + | 0.0482334i | \(0.0153591\pi\) |
−0.457647 | + | 0.889134i | \(0.651308\pi\) | |||||||
\(798\) | −6.54161 | + | 16.7867i | −0.231571 | + | 0.594244i | ||||
\(799\) | −4.51362 | − | 1.20942i | −0.159681 | − | 0.0427863i | ||||
\(800\) | 1.54116 | − | 0.412952i | 0.0544882 | − | 0.0146001i | ||||
\(801\) | 2.25706 | + | 8.42347i | 0.0797494 | + | 0.297629i | ||||
\(802\) | 9.20571 | 0.325065 | ||||||||
\(803\) | 0.562397 | 0.0198466 | ||||||||
\(804\) | 0.217187 | + | 0.810552i | 0.00765959 | + | 0.0285860i | ||||
\(805\) | 9.87471 | + | 7.25113i | 0.348038 | + | 0.255569i | ||||
\(806\) | 10.5104 | − | 18.5381i | 0.370212 | − | 0.652978i | ||||
\(807\) | 12.9922 | + | 22.5032i | 0.457349 | + | 0.792151i | ||||
\(808\) | −8.28071 | + | 30.9040i | −0.291314 | + | 1.08720i | ||||
\(809\) | −13.3877 | − | 23.1882i | −0.470688 | − | 0.815255i | 0.528750 | − | 0.848778i | \(-0.322661\pi\) |
−0.999438 | + | 0.0335223i | \(0.989328\pi\) | |||||||
\(810\) | 2.54027 | − | 4.39987i | 0.0892559 | − | 0.154596i | ||||
\(811\) | −7.94016 | − | 7.94016i | −0.278817 | − | 0.278817i | 0.553820 | − | 0.832637i | \(-0.313170\pi\) |
−0.832637 | + | 0.553820i | \(0.813170\pi\) | |||||||
\(812\) | 0.413723 | + | 0.516232i | 0.0145188 | + | 0.0181162i | ||||
\(813\) | 4.86800 | − | 18.1676i | 0.170728 | − | 0.637167i | ||||
\(814\) | −5.86478 | + | 21.8876i | −0.205560 | + | 0.767161i | ||||
\(815\) | 13.8227i | 0.484188i | ||||||||
\(816\) | −2.27293 | + | 1.31228i | −0.0795686 | + | 0.0459389i | ||||
\(817\) | 9.43466 | − | 9.43466i | 0.330077 | − | 0.330077i | ||||
\(818\) | −3.32716 | −0.116331 | ||||||||
\(819\) | 6.67023 | − | 5.43201i | 0.233077 | − | 0.189810i | ||||
\(820\) | −0.157067 | −0.00548500 | ||||||||
\(821\) | 6.49943 | − | 6.49943i | 0.226832 | − | 0.226832i | −0.584536 | − | 0.811368i | \(-0.698723\pi\) |
0.811368 | + | 0.584536i | \(0.198723\pi\) | |||||||
\(822\) | 22.9972 | − | 13.2774i | 0.802119 | − | 0.463104i | ||||
\(823\) | 34.6382i | 1.20741i | 0.797208 | + | 0.603705i | \(0.206310\pi\) | ||||
−0.797208 | + | 0.603705i | \(0.793690\pi\) | |||||||
\(824\) | 5.55149 | − | 20.7184i | 0.193395 | − | 0.721761i | ||||
\(825\) | 8.23625 | − | 30.7381i | 0.286750 | − | 1.07016i | ||||
\(826\) | 8.19528 | − | 21.0303i | 0.285150 | − | 0.731737i | ||||
\(827\) | −18.6739 | − | 18.6739i | −0.649355 | − | 0.649355i | 0.303482 | − | 0.952837i | \(-0.401851\pi\) |
−0.952837 | + | 0.303482i | \(0.901851\pi\) | |||||||
\(828\) | 0.194176 | − | 0.336323i | 0.00674809 | − | 0.0116880i | ||||
\(829\) | 16.3278 | + | 28.2806i | 0.567089 | + | 0.982228i | 0.996852 | + | 0.0792856i | \(0.0252639\pi\) |
−0.429763 | + | 0.902942i | \(0.641403\pi\) | |||||||
\(830\) | 3.92076 | − | 14.6325i | 0.136092 | − | 0.507901i | ||||
\(831\) | −4.49977 | − | 7.79382i | −0.156095 | − | 0.270365i | ||||
\(832\) | 0.232357 | + | 29.6804i | 0.00805552 | + | 1.02898i | ||||
\(833\) | 2.41171 | + | 2.21618i | 0.0835606 | + | 0.0767860i | ||||
\(834\) | 8.98470 | + | 33.5313i | 0.311115 | + | 1.16110i | ||||
\(835\) | 11.6643 | 0.403661 | ||||||||
\(836\) | −1.00805 | −0.0348643 | ||||||||
\(837\) | 6.21036 | + | 23.1774i | 0.214662 | + | 0.801128i | ||||
\(838\) | −20.4638 | + | 5.48325i | −0.706909 | + | 0.189416i | ||||
\(839\) | −38.6060 | − | 10.3444i | −1.33283 | − | 0.357130i | −0.479058 | − | 0.877783i | \(-0.659022\pi\) |
−0.853768 | + | 0.520654i | \(0.825688\pi\) | |||||||
\(840\) | 5.71518 | − | 4.58030i | 0.197192 | − | 0.158036i | ||||
\(841\) | 6.34638 | + | 10.9922i | 0.218841 | + | 0.379043i | ||||
\(842\) | − | 29.5469i | − | 1.01825i | ||||||
\(843\) | −3.42005 | − | 0.916400i | −0.117793 | − | 0.0315625i | ||||
\(844\) | 1.23855 | + | 0.715080i | 0.0426328 | + | 0.0246141i | ||||
\(845\) | −2.10890 | + | 8.39407i | −0.0725483 | + | 0.288765i | ||||
\(846\) | 12.5372i | 0.431039i | ||||||||
\(847\) | 20.2578 | + | 25.2771i | 0.696065 | + | 0.868531i | ||||
\(848\) | 8.52111 | − | 14.7590i | 0.292616 | − | 0.506826i | ||||
\(849\) | 22.6007 | + | 13.0485i | 0.775652 | + | 0.447823i | ||||
\(850\) | −2.86710 | + | 0.768236i | −0.0983406 | + | 0.0263503i | ||||
\(851\) | 16.6039 | − | 16.6039i | 0.569173 | − | 0.569173i | ||||
\(852\) | −0.0768904 | − | 0.286959i | −0.00263422 | − | 0.00983105i | ||||
\(853\) | 20.1071 | − | 20.1071i | 0.688454 | − | 0.688454i | −0.273436 | − | 0.961890i | \(-0.588160\pi\) |
0.961890 | + | 0.273436i | \(0.0881603\pi\) | |||||||
\(854\) | 17.8316 | + | 1.96558i | 0.610185 | + | 0.0672609i | ||||
\(855\) | −1.75568 | − | 1.01364i | −0.0600429 | − | 0.0346658i | ||||
\(856\) | 8.42560 | + | 8.42560i | 0.287981 | + | 0.287981i | ||||
\(857\) | 6.66400 | − | 11.5424i | 0.227638 | − | 0.394280i | −0.729470 | − | 0.684013i | \(-0.760233\pi\) |
0.957108 | + | 0.289733i | \(0.0935665\pi\) | |||||||
\(858\) | 30.4938 | + | 17.2887i | 1.04104 | + | 0.590227i | ||||
\(859\) | −11.1463 | + | 6.43532i | −0.380307 | + | 0.219570i | −0.677952 | − | 0.735106i | \(-0.737132\pi\) |
0.297645 | + | 0.954677i | \(0.403799\pi\) | |||||||
\(860\) | −0.157338 | + | 0.0421585i | −0.00536517 | + | 0.00143759i | ||||
\(861\) | 13.3694 | − | 5.87146i | 0.455629 | − | 0.200099i | ||||
\(862\) | −36.2193 | + | 20.9112i | −1.23364 | + | 0.712240i | ||||
\(863\) | 14.4716 | + | 3.87766i | 0.492620 | + | 0.131997i | 0.496573 | − | 0.867995i | \(-0.334592\pi\) |
−0.00395268 | + | 0.999992i | \(0.501258\pi\) | |||||||
\(864\) | −1.39933 | − | 1.39933i | −0.0476062 | − | 0.0476062i | ||||
\(865\) | 2.78722 | + | 2.78722i | 0.0947683 | + | 0.0947683i | ||||
\(866\) | 20.8537 | + | 5.58773i | 0.708638 | + | 0.189879i | ||||
\(867\) | 21.0512 | − | 12.1539i | 0.714938 | − | 0.412769i | ||||
\(868\) | −0.0762063 | + | 0.691337i | −0.00258661 | + | 0.0234655i | ||||
\(869\) | −1.81543 | + | 0.486443i | −0.0615842 | + | 0.0165014i | ||||
\(870\) | −4.69520 | + | 2.71078i | −0.159182 | + | 0.0919040i | ||||
\(871\) | −32.6506 | − | 8.47532i | −1.10632 | − | 0.287175i | ||||
\(872\) | −8.82868 | + | 15.2917i | −0.298977 | + | 0.517843i | ||||
\(873\) | −11.3668 | − | 11.3668i | −0.384706 | − | 0.384706i | ||||
\(874\) | −28.3155 | − | 16.3480i | −0.957787 | − | 0.552978i | ||||
\(875\) | 15.4129 | − | 6.76887i | 0.521050 | − | 0.228830i | ||||
\(876\) | −0.00739838 | + | 0.00739838i | −0.000249968 | + | 0.000249968i | ||||
\(877\) | 4.81802 | + | 17.9811i | 0.162693 | + | 0.607178i | 0.998323 | + | 0.0578858i | \(0.0184359\pi\) |
−0.835630 | + | 0.549292i | \(0.814897\pi\) | |||||||
\(878\) | −14.2087 | + | 14.2087i | −0.479521 | + | 0.479521i | ||||
\(879\) | −6.34727 | + | 1.70075i | −0.214088 | + | 0.0573647i | ||||
\(880\) | −10.7640 | − | 6.21458i | −0.362853 | − | 0.209494i | ||||
\(881\) | −4.17631 | + | 7.23358i | −0.140703 | + | 0.243705i | −0.927762 | − | 0.373173i | \(-0.878270\pi\) |
0.787058 | + | 0.616879i | \(0.211603\pi\) | |||||||
\(882\) | 4.06868 | − | 7.78906i | 0.136999 | − | 0.262271i | ||||
\(883\) | − | 44.6713i | − | 1.50331i | −0.659557 | − | 0.751655i | \(-0.729256\pi\) | ||
0.659557 | − | 0.751655i | \(-0.270744\pi\) | |||||||
\(884\) | 0.000817771 | 0.104459i | 2.75046e−5 | 0.00351333i | ||||||
\(885\) | −5.11786 | − | 2.95480i | −0.172035 | − | 0.0993244i | ||||
\(886\) | −16.7781 | − | 4.49569i | −0.563672 | − | 0.151036i | ||||
\(887\) | − | 1.94254i | − | 0.0652241i | −0.999468 | − | 0.0326121i | \(-0.989617\pi\) | ||
0.999468 | − | 0.0326121i | \(-0.0103826\pi\) | |||||||
\(888\) | −7.01899 | − | 12.1572i | −0.235542 | − | 0.407971i | ||||
\(889\) | −32.9669 | − | 41.1352i | −1.10567 | − | 1.37963i | ||||
\(890\) | −8.65777 | − | 2.31984i | −0.290209 | − | 0.0777613i | ||||
\(891\) | −25.5268 | + | 6.83989i | −0.855181 | + | 0.229145i | ||||
\(892\) | −0.0593600 | − | 0.221534i | −0.00198752 | − | 0.00741752i | ||||
\(893\) | −33.7232 | −1.12850 | ||||||||
\(894\) | 7.58763 | 0.253768 | ||||||||
\(895\) | 0.649644 | + | 2.42450i | 0.0217152 | + | 0.0810422i | ||||
\(896\) | 11.4472 | + | 26.0655i | 0.382424 | + | 0.870787i | ||||
\(897\) | −18.4081 | − | 31.3151i | −0.614630 | − | 1.04558i | ||||
\(898\) | −19.4972 | − | 33.7701i | −0.650628 | − | 1.12692i | ||||
\(899\) | 4.43730 | − | 16.5602i | 0.147992 | − | 0.552315i | ||||
\(900\) | −0.127218 | − | 0.220347i | −0.00424059 | − | 0.00734492i | ||||
\(901\) | 1.02963 | − | 1.78337i | 0.0343019 | − | 0.0594127i | ||||
\(902\) | −18.0823 | − | 18.0823i | −0.602075 | − | 0.602075i | ||||
\(903\) | 11.8165 | − | 9.47010i | 0.393230 | − | 0.315145i | ||||
\(904\) | −0.824563 | + | 3.07731i | −0.0274246 | + | 0.102350i | ||||
\(905\) | −0.980283 | + | 3.65847i | −0.0325857 | + | 0.121612i | ||||
\(906\) | − | 15.2466i | − | 0.506535i | ||||||
\(907\) | −45.1033 | + | 26.0404i | −1.49763 | + | 0.864656i | −0.999996 | − | 0.00273135i | \(-0.999131\pi\) |
−0.497633 | + | 0.867388i | \(0.665797\pi\) | |||||||
\(908\) | −1.05553 | + | 1.05553i | −0.0350291 | + | 0.0350291i | ||||
\(909\) | 10.0509 | 0.333367 | ||||||||
\(910\) | 1.40722 | + | 8.72881i | 0.0466490 | + | 0.289357i | ||||
\(911\) | −48.8065 | −1.61703 | −0.808516 | − | 0.588474i | \(-0.799729\pi\) | ||||
−0.808516 | + | 0.588474i | \(0.799729\pi\) | |||||||
\(912\) | −13.3933 | + | 13.3933i | −0.443497 | + | 0.443497i | ||||
\(913\) | −68.2415 | + | 39.3992i | −2.25846 | + | 1.30392i | ||||
\(914\) | − | 24.5227i | − | 0.811140i | ||||||
\(915\) | 1.21569 | − | 4.53701i | 0.0401894 | − | 0.149989i | ||||
\(916\) | −0.298803 | + | 1.11515i | −0.00987273 | + | 0.0368455i | ||||
\(917\) | −19.9726 | + | 3.05969i | −0.659555 | + | 0.101040i | ||||
\(918\) | 2.60325 | + | 2.60325i | 0.0859200 | + | 0.0859200i | ||||
\(919\) | −3.72510 | + | 6.45206i | −0.122880 | + | 0.212834i | −0.920902 | − | 0.389794i | \(-0.872546\pi\) |
0.798022 | + | 0.602628i | \(0.205880\pi\) | |||||||
\(920\) | 6.64588 | + | 11.5110i | 0.219108 | + | 0.379507i | ||||
\(921\) | −6.11533 | + | 22.8227i | −0.201507 | + | 0.752035i | ||||
\(922\) | 3.75518 | + | 6.50415i | 0.123670 | + | 0.214203i | ||||
\(923\) | 11.5593 | + | 3.00051i | 0.380478 | + | 0.0987629i | ||||
\(924\) | −1.13719 | − | 0.125353i | −0.0374109 | − | 0.00412382i | ||||
\(925\) | −3.98173 | − | 14.8600i | −0.130918 | − | 0.488594i | ||||
\(926\) | 38.3499 | 1.26026 | ||||||||
\(927\) | −6.73824 | −0.221313 | ||||||||
\(928\) | 0.365960 | + | 1.36578i | 0.0120132 | + | 0.0448340i | ||||
\(929\) | 14.4466 | − | 3.87096i | 0.473978 | − | 0.127002i | −0.0139191 | − | 0.999903i | \(-0.504431\pi\) |
0.487897 | + | 0.872901i | \(0.337764\pi\) | |||||||
\(930\) | −5.50567 | − | 1.47524i | −0.180538 | − | 0.0483750i | ||||
\(931\) | 20.9513 | + | 10.9441i | 0.686652 | + | 0.358678i | ||||
\(932\) | −0.140021 | − | 0.242523i | −0.00458653 | − | 0.00794410i | ||||
\(933\) | 15.7147i | 0.514475i | ||||||||
\(934\) | −12.9040 | − | 3.45762i | −0.422232 | − | 0.113137i | ||||
\(935\) | −1.30064 | − | 0.750925i | −0.0425355 | − | 0.0245579i | ||||
\(936\) | 8.99578 | − | 2.48605i | 0.294036 | − | 0.0812591i | ||||
\(937\) | 0.823290i | 0.0268957i | 0.999910 | + | 0.0134479i | \(0.00428071\pi\) | ||||
−0.999910 | + | 0.0134479i | \(0.995719\pi\) | |||||||
\(938\) | −34.0625 | + | 5.21818i | −1.11218 | + | 0.170380i | ||||
\(939\) | 5.20525 | − | 9.01576i | 0.169867 | − | 0.294218i | ||||
\(940\) | 0.356538 | + | 0.205848i | 0.0116290 | + | 0.00671401i | ||||
\(941\) | −24.0974 | + | 6.45688i | −0.785553 | + | 0.210488i | −0.629231 | − | 0.777218i | \(-0.716630\pi\) |
−0.156321 | + | 0.987706i | \(0.549964\pi\) | |||||||
\(942\) | −35.1334 | + | 35.1334i | −1.14471 | + | 1.14471i | ||||
\(943\) | 6.85858 | + | 25.5966i | 0.223346 | + | 0.833539i | ||||
\(944\) | 16.7790 | − | 16.7790i | 0.546111 | − | 0.546111i | ||||
\(945\) | −8.02431 | − | 5.89236i | −0.261031 | − | 0.191678i | ||||
\(946\) | −22.9670 | − | 13.2600i | −0.746722 | − | 0.431120i | ||||
\(947\) | 8.72288 | + | 8.72288i | 0.283455 | + | 0.283455i | 0.834485 | − | 0.551030i | \(-0.185765\pi\) |
−0.551030 | + | 0.834485i | \(0.685765\pi\) | |||||||
\(948\) | 0.0174829 | − | 0.0302813i | 0.000567819 | − | 0.000983491i | ||||
\(949\) | −0.112035 | − | 0.405400i | −0.00363682 | − | 0.0131598i | ||||
\(950\) | −18.5514 | + | 10.7106i | −0.601886 | + | 0.347499i | ||||
\(951\) | −13.2494 | + | 3.55016i | −0.429640 | + | 0.115122i | ||||
\(952\) | 1.42889 | + | 3.25362i | 0.0463107 | + | 0.105450i | ||||
\(953\) | −17.9140 | + | 10.3426i | −0.580291 | + | 0.335031i | −0.761249 | − | 0.648460i | \(-0.775414\pi\) |
0.180958 | + | 0.983491i | \(0.442080\pi\) | |||||||
\(954\) | −5.33673 | − | 1.42997i | −0.172783 | − | 0.0462970i | ||||
\(955\) | 4.31581 | + | 4.31581i | 0.139656 | + | 0.139656i | ||||
\(956\) | −0.691075 | − | 0.691075i | −0.0223510 | − | 0.0223510i | ||||
\(957\) | 27.2403 | + | 7.29901i | 0.880553 | + | 0.235943i | ||||
\(958\) | 37.3132 | − | 21.5428i | 1.20553 | − | 0.696016i | ||||
\(959\) | −14.0093 | − | 31.8995i | −0.452384 | − | 1.03009i | ||||
\(960\) | 7.66836 | − | 2.05473i | 0.247495 | − | 0.0663161i | ||||
\(961\) | −11.2370 | + | 6.48771i | −0.362485 | + | 0.209281i | ||||
\(962\) | 16.9459 | − | 0.132663i | 0.546357 | − | 0.00427723i | ||||
\(963\) | 1.87163 | − | 3.24175i | 0.0603123 | − | 0.104464i | ||||
\(964\) | −0.331374 | − | 0.331374i | −0.0106728 | − | 0.0106728i | ||||
\(965\) | −14.6514 | − | 8.45899i | −0.471645 | − | 0.272304i | ||||
\(966\) | −29.9101 | − | 21.9634i | −0.962341 | − | 0.706660i | ||||
\(967\) | 6.39351 | − | 6.39351i | 0.205601 | − | 0.205601i | −0.596793 | − | 0.802395i | \(-0.703559\pi\) |
0.802395 | + | 0.596793i | \(0.203559\pi\) | |||||||
\(968\) | 9.09612 | + | 33.9472i | 0.292360 | + | 1.09110i | ||||
\(969\) | −1.61835 | + | 1.61835i | −0.0519889 | + | 0.0519889i | ||||
\(970\) | 15.9592 | − | 4.27624i | 0.512418 | − | 0.137302i | ||||
\(971\) | 14.9575 | + | 8.63569i | 0.480008 | + | 0.277133i | 0.720420 | − | 0.693538i | \(-0.243949\pi\) |
−0.240412 | + | 0.970671i | \(0.577283\pi\) | |||||||
\(972\) | −0.279112 | + | 0.483437i | −0.00895253 | + | 0.0155062i | ||||
\(973\) | 45.0200 | − | 6.89680i | 1.44327 | − | 0.221101i | ||||
\(974\) | 7.79056i | 0.249626i | ||||||||
\(975\) | −23.7981 | + | 0.186307i | −0.762149 | + | 0.00596658i | ||||
\(976\) | 16.3336 | + | 9.43018i | 0.522824 | + | 0.301853i | ||||
\(977\) | 52.2660 | + | 14.0046i | 1.67214 | + | 0.448048i | 0.965686 | − | 0.259714i | \(-0.0836281\pi\) |
0.706452 | + | 0.707761i | \(0.250295\pi\) | |||||||
\(978\) | − | 41.8684i | − | 1.33880i | ||||||
\(979\) | 23.3118 | + | 40.3773i | 0.745049 | + | 1.29046i | ||||
\(980\) | −0.154705 | − | 0.243594i | −0.00494186 | − | 0.00778133i | ||||
\(981\) | 5.35800 | + | 1.43567i | 0.171068 | + | 0.0458375i | ||||
\(982\) | −18.6505 | + | 4.99738i | −0.595161 | + | 0.159473i | ||||
\(983\) | 9.70939 | + | 36.2359i | 0.309681 | + | 1.15575i | 0.928840 | + | 0.370481i | \(0.120807\pi\) |
−0.619159 | + | 0.785266i | \(0.712526\pi\) | |||||||
\(984\) | 15.8423 | 0.505034 | ||||||||
\(985\) | 0.955968 | 0.0304597 | ||||||||
\(986\) | −0.680815 | − | 2.54083i | −0.0216816 | − | 0.0809167i | ||||
\(987\) | −38.0434 | − | 4.19354i | −1.21093 | − | 0.133482i | ||||
\(988\) | 0.200815 | + | 0.726648i | 0.00638876 | + | 0.0231177i | ||||
\(989\) | 13.7408 | + | 23.7998i | 0.436933 | + | 0.756790i | ||||
\(990\) | −1.04290 | + | 3.89216i | −0.0331456 | + | 0.123701i | ||||
\(991\) | −17.4270 | − | 30.1845i | −0.553587 | − | 0.958841i | −0.998012 | − | 0.0630250i | \(-0.979925\pi\) |
0.444425 | − | 0.895816i | \(-0.353408\pi\) | |||||||
\(992\) | −0.743276 | + | 1.28739i | −0.0235990 | + | 0.0408748i | ||||
\(993\) | −6.07784 | − | 6.07784i | −0.192874 | − | 0.192874i | ||||
\(994\) | 12.0591 | − | 1.84739i | 0.382492 | − | 0.0585955i | ||||
\(995\) | −1.89816 | + | 7.08404i | −0.0601758 | + | 0.224579i | ||||
\(996\) | 0.379422 | − | 1.41602i | 0.0120224 | − | 0.0448683i | ||||
\(997\) | 15.2231i | 0.482119i | 0.970510 | + | 0.241060i | \(0.0774949\pi\) | ||||
−0.970510 | + | 0.241060i | \(0.922505\pi\) | |||||||
\(998\) | −11.0233 | + | 6.36431i | −0.348936 | + | 0.201459i | ||||
\(999\) | −13.4925 | + | 13.4925i | −0.426884 | + | 0.426884i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 91.2.ba.a.45.2 | yes | 28 | |
3.2 | odd | 2 | 819.2.et.b.136.6 | 28 | |||
7.2 | even | 3 | 637.2.x.a.19.6 | 28 | |||
7.3 | odd | 6 | 637.2.bd.a.97.2 | 28 | |||
7.4 | even | 3 | 637.2.bd.b.97.2 | 28 | |||
7.5 | odd | 6 | 91.2.w.a.19.6 | ✓ | 28 | ||
7.6 | odd | 2 | 637.2.bb.a.227.2 | 28 | |||
13.11 | odd | 12 | 91.2.w.a.24.6 | yes | 28 | ||
21.5 | even | 6 | 819.2.gh.b.19.2 | 28 | |||
39.11 | even | 12 | 819.2.gh.b.388.2 | 28 | |||
91.11 | odd | 12 | 637.2.bd.a.440.2 | 28 | |||
91.24 | even | 12 | 637.2.bd.b.440.2 | 28 | |||
91.37 | odd | 12 | 637.2.bb.a.362.2 | 28 | |||
91.76 | even | 12 | 637.2.x.a.570.6 | 28 | |||
91.89 | even | 12 | inner | 91.2.ba.a.89.2 | yes | 28 | |
273.89 | odd | 12 | 819.2.et.b.271.6 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.19.6 | ✓ | 28 | 7.5 | odd | 6 | ||
91.2.w.a.24.6 | yes | 28 | 13.11 | odd | 12 | ||
91.2.ba.a.45.2 | yes | 28 | 1.1 | even | 1 | trivial | |
91.2.ba.a.89.2 | yes | 28 | 91.89 | even | 12 | inner | |
637.2.x.a.19.6 | 28 | 7.2 | even | 3 | |||
637.2.x.a.570.6 | 28 | 91.76 | even | 12 | |||
637.2.bb.a.227.2 | 28 | 7.6 | odd | 2 | |||
637.2.bb.a.362.2 | 28 | 91.37 | odd | 12 | |||
637.2.bd.a.97.2 | 28 | 7.3 | odd | 6 | |||
637.2.bd.a.440.2 | 28 | 91.11 | odd | 12 | |||
637.2.bd.b.97.2 | 28 | 7.4 | even | 3 | |||
637.2.bd.b.440.2 | 28 | 91.24 | even | 12 | |||
819.2.et.b.136.6 | 28 | 3.2 | odd | 2 | |||
819.2.et.b.271.6 | 28 | 273.89 | odd | 12 | |||
819.2.gh.b.19.2 | 28 | 21.5 | even | 6 | |||
819.2.gh.b.388.2 | 28 | 39.11 | even | 12 |