Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 22.2 | ||
Character | \(\chi\) | \(=\) | 189.22 |
Dual form | 189.2.v.b.43.2 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.67142 | + | 1.40248i | −1.18187 | + | 0.991706i | −0.181905 | + | 0.983316i | \(0.558226\pi\) |
−0.999965 | + | 0.00839031i | \(0.997329\pi\) | |||||||
\(3\) | −1.72870 | − | 0.107685i | −0.998065 | − | 0.0621718i | ||||
\(4\) | 0.479372 | − | 2.71866i | 0.239686 | − | 1.35933i | ||||
\(5\) | −2.82618 | + | 1.02865i | −1.26391 | + | 0.460025i | −0.885078 | − | 0.465442i | \(-0.845895\pi\) |
−0.378829 | + | 0.925467i | \(0.623673\pi\) | |||||||
\(6\) | 3.04040 | − | 2.24449i | 1.24124 | − | 0.916309i | ||||
\(7\) | −0.173648 | − | 0.984808i | −0.0656328 | − | 0.372222i | ||||
\(8\) | 0.829763 | + | 1.43719i | 0.293366 | + | 0.508124i | ||||
\(9\) | 2.97681 | + | 0.372309i | 0.992269 | + | 0.124103i | ||||
\(10\) | 3.28107 | − | 5.68297i | 1.03756 | − | 1.79711i | ||||
\(11\) | 1.22699 | + | 0.446587i | 0.369951 | + | 0.134651i | 0.520304 | − | 0.853981i | \(-0.325819\pi\) |
−0.150353 | + | 0.988632i | \(0.548041\pi\) | |||||||
\(12\) | −1.12145 | + | 4.64812i | −0.323734 | + | 1.34180i | ||||
\(13\) | −0.374438 | − | 0.314191i | −0.103851 | − | 0.0871410i | 0.589384 | − | 0.807853i | \(-0.299371\pi\) |
−0.693235 | + | 0.720712i | \(0.743815\pi\) | |||||||
\(14\) | 1.67142 | + | 1.40248i | 0.446705 | + | 0.374830i | ||||
\(15\) | 4.99639 | − | 1.47388i | 1.29006 | − | 0.380555i | ||||
\(16\) | 1.78570 | + | 0.649942i | 0.446425 | + | 0.162486i | ||||
\(17\) | 3.32864 | − | 5.76537i | 0.807313 | − | 1.39831i | −0.107405 | − | 0.994215i | \(-0.534254\pi\) |
0.914718 | − | 0.404092i | \(-0.132413\pi\) | |||||||
\(18\) | −5.49764 | + | 3.55264i | −1.29581 | + | 0.837366i | ||||
\(19\) | 0.478257 | + | 0.828366i | 0.109720 | + | 0.190040i | 0.915657 | − | 0.401961i | \(-0.131671\pi\) |
−0.805937 | + | 0.592001i | \(0.798338\pi\) | |||||||
\(20\) | 1.44174 | + | 8.17652i | 0.322383 | + | 1.82833i | ||||
\(21\) | 0.194137 | + | 1.72114i | 0.0423642 | + | 0.375583i | ||||
\(22\) | −2.67714 | + | 0.974399i | −0.570768 | + | 0.207743i | ||||
\(23\) | −0.513759 | + | 2.91367i | −0.107126 | + | 0.607543i | 0.883224 | + | 0.468952i | \(0.155368\pi\) |
−0.990350 | + | 0.138591i | \(0.955743\pi\) | |||||||
\(24\) | −1.27965 | − | 2.57383i | −0.261207 | − | 0.525380i | ||||
\(25\) | 3.09897 | − | 2.60034i | 0.619794 | − | 0.520069i | ||||
\(26\) | 1.06649 | 0.209156 | ||||||||
\(27\) | −5.10592 | − | 0.964167i | −0.982634 | − | 0.185554i | ||||
\(28\) | −2.76060 | −0.521703 | ||||||||
\(29\) | 5.24112 | − | 4.39783i | 0.973252 | − | 0.816656i | −0.00980542 | − | 0.999952i | \(-0.503121\pi\) |
0.983058 | + | 0.183296i | \(0.0586768\pi\) | |||||||
\(30\) | −6.28395 | + | 9.47084i | −1.14729 | + | 1.72913i | ||||
\(31\) | 1.08429 | − | 6.14930i | 0.194744 | − | 1.10445i | −0.718039 | − | 0.696002i | \(-0.754960\pi\) |
0.912783 | − | 0.408444i | \(-0.133929\pi\) | |||||||
\(32\) | −7.01508 | + | 2.55328i | −1.24010 | + | 0.451360i | ||||
\(33\) | −2.07300 | − | 0.904143i | −0.360864 | − | 0.157391i | ||||
\(34\) | 2.52230 | + | 14.3047i | 0.432572 | + | 2.45324i | ||||
\(35\) | 1.50378 | + | 2.60462i | 0.254185 | + | 0.440262i | ||||
\(36\) | 2.43918 | − | 7.91444i | 0.406530 | − | 1.31907i | ||||
\(37\) | 2.43630 | − | 4.21979i | 0.400524 | − | 0.693729i | −0.593265 | − | 0.805007i | \(-0.702161\pi\) |
0.993789 | + | 0.111279i | \(0.0354946\pi\) | |||||||
\(38\) | −1.96114 | − | 0.713796i | −0.318138 | − | 0.115793i | ||||
\(39\) | 0.613458 | + | 0.583464i | 0.0982319 | + | 0.0934290i | ||||
\(40\) | −3.82343 | − | 3.20823i | −0.604537 | − | 0.507266i | ||||
\(41\) | −3.17692 | − | 2.66575i | −0.496151 | − | 0.416320i | 0.360074 | − | 0.932924i | \(-0.382752\pi\) |
−0.856225 | + | 0.516604i | \(0.827196\pi\) | |||||||
\(42\) | −2.73835 | − | 2.60446i | −0.422537 | − | 0.401877i | ||||
\(43\) | −10.4383 | − | 3.79924i | −1.59183 | − | 0.579378i | −0.614095 | − | 0.789232i | \(-0.710479\pi\) |
−0.977733 | + | 0.209854i | \(0.932701\pi\) | |||||||
\(44\) | 1.80230 | − | 3.12168i | 0.271707 | − | 0.470610i | ||||
\(45\) | −8.79598 | + | 2.00987i | −1.31123 | + | 0.299614i | ||||
\(46\) | −3.22768 | − | 5.59050i | −0.475895 | − | 0.824274i | ||||
\(47\) | −2.19327 | − | 12.4387i | −0.319921 | − | 1.81436i | −0.543193 | − | 0.839608i | \(-0.682785\pi\) |
0.223272 | − | 0.974756i | \(-0.428326\pi\) | |||||||
\(48\) | −3.01695 | − | 1.31585i | −0.435460 | − | 0.189926i | ||||
\(49\) | −0.939693 | + | 0.342020i | −0.134242 | + | 0.0488600i | ||||
\(50\) | −1.53273 | + | 8.69252i | −0.216760 | + | 1.22931i | ||||
\(51\) | −6.37506 | + | 9.60815i | −0.892687 | + | 1.34541i | ||||
\(52\) | −1.03367 | + | 0.867355i | −0.143345 | + | 0.120280i | ||||
\(53\) | 11.9079 | 1.63568 | 0.817841 | − | 0.575445i | \(-0.195171\pi\) | ||||
0.817841 | + | 0.575445i | \(0.195171\pi\) | |||||||
\(54\) | 9.88634 | − | 5.54945i | 1.34536 | − | 0.755184i | ||||
\(55\) | −3.92707 | −0.529526 | ||||||||
\(56\) | 1.27127 | − | 1.06672i | 0.169881 | − | 0.142547i | ||||
\(57\) | −0.737561 | − | 1.48350i | −0.0976924 | − | 0.196494i | ||||
\(58\) | −2.59222 | + | 14.7012i | −0.340375 | + | 1.93036i | ||||
\(59\) | −4.54556 | + | 1.65445i | −0.591781 | + | 0.215391i | −0.620513 | − | 0.784196i | \(-0.713076\pi\) |
0.0287313 | + | 0.999587i | \(0.490853\pi\) | |||||||
\(60\) | −1.61185 | − | 14.2900i | −0.208089 | − | 1.84483i | ||||
\(61\) | 1.62389 | + | 9.20952i | 0.207917 | + | 1.17916i | 0.892782 | + | 0.450488i | \(0.148750\pi\) |
−0.684865 | + | 0.728670i | \(0.740139\pi\) | |||||||
\(62\) | 6.81200 | + | 11.7987i | 0.865125 | + | 1.49844i | ||||
\(63\) | −0.150265 | − | 2.99623i | −0.0189316 | − | 0.377490i | ||||
\(64\) | 6.24387 | − | 10.8147i | 0.780484 | − | 1.35184i | ||||
\(65\) | 1.38142 | + | 0.502797i | 0.171344 | + | 0.0623643i | ||||
\(66\) | 4.73290 | − | 1.39616i | 0.582580 | − | 0.171855i | ||||
\(67\) | 4.87467 | + | 4.09033i | 0.595535 | + | 0.499714i | 0.890007 | − | 0.455947i | \(-0.150699\pi\) |
−0.294472 | + | 0.955660i | \(0.595144\pi\) | |||||||
\(68\) | −14.0784 | − | 11.8132i | −1.70726 | − | 1.43256i | ||||
\(69\) | 1.20189 | − | 4.98154i | 0.144691 | − | 0.599707i | ||||
\(70\) | −6.16639 | − | 2.24438i | −0.737024 | − | 0.268255i | ||||
\(71\) | 4.09251 | − | 7.08844i | 0.485692 | − | 0.841243i | −0.514173 | − | 0.857686i | \(-0.671901\pi\) |
0.999865 | + | 0.0164438i | \(0.00523447\pi\) | |||||||
\(72\) | 1.93497 | + | 4.58717i | 0.228038 | + | 0.540604i | ||||
\(73\) | 3.64315 | + | 6.31012i | 0.426398 | + | 0.738544i | 0.996550 | − | 0.0829960i | \(-0.0264489\pi\) |
−0.570152 | + | 0.821540i | \(0.693116\pi\) | |||||||
\(74\) | 1.84612 | + | 10.4699i | 0.214608 | + | 1.21710i | ||||
\(75\) | −5.63721 | + | 4.16150i | −0.650929 | + | 0.480529i | ||||
\(76\) | 2.48130 | − | 0.903121i | 0.284625 | − | 0.103595i | ||||
\(77\) | 0.226738 | − | 1.28590i | 0.0258392 | − | 0.146541i | ||||
\(78\) | −1.84364 | − | 0.114845i | −0.208751 | − | 0.0130036i | ||||
\(79\) | 10.7832 | − | 9.04814i | 1.21320 | − | 1.01800i | 0.214048 | − | 0.976823i | \(-0.431335\pi\) |
0.999152 | − | 0.0411723i | \(-0.0131093\pi\) | |||||||
\(80\) | −5.71528 | −0.638988 | ||||||||
\(81\) | 8.72277 | + | 2.21658i | 0.969197 | + | 0.246287i | ||||
\(82\) | 9.04862 | 0.999253 | ||||||||
\(83\) | −11.7964 | + | 9.89839i | −1.29483 | + | 1.08649i | −0.303814 | + | 0.952731i | \(0.598260\pi\) |
−0.991014 | + | 0.133759i | \(0.957295\pi\) | |||||||
\(84\) | 4.77224 | + | 0.297274i | 0.520694 | + | 0.0324352i | ||||
\(85\) | −3.47681 | + | 19.7180i | −0.377113 | + | 2.13871i | ||||
\(86\) | 22.7751 | − | 8.28947i | 2.45591 | − | 0.893877i | ||||
\(87\) | −9.53391 | + | 7.03813i | −1.02214 | + | 0.754567i | ||||
\(88\) | 0.376278 | + | 2.13398i | 0.0401114 | + | 0.227483i | ||||
\(89\) | 5.53512 | + | 9.58711i | 0.586722 | + | 1.01623i | 0.994658 | + | 0.103222i | \(0.0329151\pi\) |
−0.407936 | + | 0.913010i | \(0.633752\pi\) | |||||||
\(90\) | 11.8829 | − | 15.6955i | 1.25257 | − | 1.65446i | ||||
\(91\) | −0.244397 | + | 0.423309i | −0.0256198 | + | 0.0443748i | ||||
\(92\) | 7.67499 | + | 2.79347i | 0.800173 | + | 0.291239i | ||||
\(93\) | −2.53659 | + | 10.5135i | −0.263032 | + | 1.09020i | ||||
\(94\) | 21.1109 | + | 17.7141i | 2.17742 | + | 1.82707i | ||||
\(95\) | −2.20374 | − | 1.84916i | −0.226099 | − | 0.189719i | ||||
\(96\) | 12.4019 | − | 3.65844i | 1.26576 | − | 0.373388i | ||||
\(97\) | −0.549597 | − | 0.200037i | −0.0558032 | − | 0.0203107i | 0.313968 | − | 0.949434i | \(-0.398342\pi\) |
−0.369771 | + | 0.929123i | \(0.620564\pi\) | |||||||
\(98\) | 1.09094 | − | 1.88956i | 0.110202 | − | 0.190875i | ||||
\(99\) | 3.48624 | + | 1.78622i | 0.350380 | + | 0.179522i | ||||
\(100\) | −5.58388 | − | 9.67157i | −0.558388 | − | 0.967157i | ||||
\(101\) | −2.83114 | − | 16.0562i | −0.281709 | − | 1.59765i | −0.716809 | − | 0.697269i | \(-0.754398\pi\) |
0.435100 | − | 0.900382i | \(-0.356713\pi\) | |||||||
\(102\) | −2.81991 | − | 25.0001i | −0.279213 | − | 2.47538i | ||||
\(103\) | 3.68537 | − | 1.34136i | 0.363130 | − | 0.132168i | −0.154010 | − | 0.988069i | \(-0.549219\pi\) |
0.517140 | + | 0.855901i | \(0.326997\pi\) | |||||||
\(104\) | 0.140858 | − | 0.798845i | 0.0138122 | − | 0.0783331i | ||||
\(105\) | −2.31911 | − | 4.66455i | −0.226322 | − | 0.455213i | ||||
\(106\) | −19.9031 | + | 16.7007i | −1.93316 | + | 1.62212i | ||||
\(107\) | −2.96447 | −0.286586 | −0.143293 | − | 0.989680i | \(-0.545769\pi\) | ||||
−0.143293 | + | 0.989680i | \(0.545769\pi\) | |||||||
\(108\) | −5.06887 | + | 13.4190i | −0.487753 | + | 1.29125i | ||||
\(109\) | −5.98609 | −0.573364 | −0.286682 | − | 0.958026i | \(-0.592552\pi\) | ||||
−0.286682 | + | 0.958026i | \(0.592552\pi\) | |||||||
\(110\) | 6.56377 | − | 5.50766i | 0.625831 | − | 0.525135i | ||||
\(111\) | −4.66603 | + | 7.03239i | −0.442880 | + | 0.667485i | ||||
\(112\) | 0.329984 | − | 1.87143i | 0.0311806 | − | 0.176834i | ||||
\(113\) | 3.88311 | − | 1.41334i | 0.365292 | − | 0.132956i | −0.152851 | − | 0.988249i | \(-0.548846\pi\) |
0.518144 | + | 0.855294i | \(0.326623\pi\) | |||||||
\(114\) | 3.31335 | + | 1.44512i | 0.310324 | + | 0.135348i | ||||
\(115\) | −1.54516 | − | 8.76305i | −0.144087 | − | 0.817158i | ||||
\(116\) | −9.44372 | − | 16.3570i | −0.876828 | − | 1.51871i | ||||
\(117\) | −0.997655 | − | 1.07469i | −0.0922333 | − | 0.0993555i | ||||
\(118\) | 5.27718 | − | 9.14035i | 0.485804 | − | 0.841437i | ||||
\(119\) | −6.25579 | − | 2.27692i | −0.573468 | − | 0.208725i | ||||
\(120\) | 6.26408 | + | 5.95780i | 0.571829 | + | 0.543870i | ||||
\(121\) | −7.12043 | − | 5.97475i | −0.647312 | − | 0.543159i | ||||
\(122\) | −15.6304 | − | 13.1155i | −1.41511 | − | 1.18742i | ||||
\(123\) | 5.20488 | + | 4.95039i | 0.469308 | + | 0.446361i | ||||
\(124\) | −16.1981 | − | 5.89561i | −1.45463 | − | 0.529441i | ||||
\(125\) | 1.43548 | − | 2.48633i | 0.128393 | − | 0.222384i | ||||
\(126\) | 4.45333 | + | 4.79721i | 0.396734 | + | 0.427370i | ||||
\(127\) | −2.98325 | − | 5.16715i | −0.264721 | − | 0.458510i | 0.702769 | − | 0.711418i | \(-0.251947\pi\) |
−0.967490 | + | 0.252907i | \(0.918613\pi\) | |||||||
\(128\) | 2.13868 | + | 12.1291i | 0.189034 | + | 1.07207i | ||||
\(129\) | 17.6356 | + | 7.69179i | 1.55273 | + | 0.677224i | ||||
\(130\) | −3.01410 | + | 1.09704i | −0.264354 | + | 0.0962169i | ||||
\(131\) | 0.774773 | − | 4.39396i | 0.0676922 | − | 0.383902i | −0.932074 | − | 0.362269i | \(-0.882002\pi\) |
0.999766 | − | 0.0216332i | \(-0.00688659\pi\) | |||||||
\(132\) | −3.45179 | + | 5.20236i | −0.300440 | + | 0.452807i | ||||
\(133\) | 0.732733 | − | 0.614836i | 0.0635360 | − | 0.0533130i | ||||
\(134\) | −13.8842 | −1.19941 | ||||||||
\(135\) | 15.4220 | − | 2.52727i | 1.32732 | − | 0.217513i | ||||
\(136\) | 11.0479 | 0.947352 | ||||||||
\(137\) | 0.258750 | − | 0.217117i | 0.0221065 | − | 0.0185496i | −0.631667 | − | 0.775239i | \(-0.717629\pi\) |
0.653774 | + | 0.756690i | \(0.273185\pi\) | |||||||
\(138\) | 4.97767 | + | 10.0119i | 0.423728 | + | 0.852267i | ||||
\(139\) | 0.668397 | − | 3.79067i | 0.0566927 | − | 0.321520i | −0.943252 | − | 0.332079i | \(-0.892250\pi\) |
0.999944 | + | 0.0105589i | \(0.00336106\pi\) | |||||||
\(140\) | 7.80195 | − | 2.83968i | 0.659385 | − | 0.239996i | ||||
\(141\) | 2.45205 | + | 21.7389i | 0.206500 | + | 1.83074i | ||||
\(142\) | 3.10113 | + | 17.5874i | 0.260241 | + | 1.47590i | ||||
\(143\) | −0.319118 | − | 0.552728i | −0.0266860 | − | 0.0462215i | ||||
\(144\) | 5.07371 | + | 2.59959i | 0.422809 | + | 0.216632i | ||||
\(145\) | −10.2886 | + | 17.8203i | −0.854419 | + | 1.47990i | ||||
\(146\) | −14.9391 | − | 5.43737i | −1.23637 | − | 0.450000i | ||||
\(147\) | 1.66128 | − | 0.490060i | 0.137020 | − | 0.0404194i | ||||
\(148\) | −10.3043 | − | 8.64630i | −0.847005 | − | 0.710721i | ||||
\(149\) | −3.78890 | − | 3.17927i | −0.310399 | − | 0.260456i | 0.474258 | − | 0.880386i | \(-0.342716\pi\) |
−0.784657 | + | 0.619930i | \(0.787161\pi\) | |||||||
\(150\) | 3.58567 | − | 14.8617i | 0.292769 | − | 1.21345i | ||||
\(151\) | −9.07441 | − | 3.30282i | −0.738465 | − | 0.268779i | −0.0547215 | − | 0.998502i | \(-0.517427\pi\) |
−0.683744 | + | 0.729722i | \(0.739649\pi\) | |||||||
\(152\) | −0.793681 | + | 1.37470i | −0.0643760 | + | 0.111503i | ||||
\(153\) | 12.0552 | − | 15.9231i | 0.974606 | − | 1.28731i | ||||
\(154\) | 1.42448 | + | 2.46726i | 0.114788 | + | 0.198818i | ||||
\(155\) | 3.26106 | + | 18.4944i | 0.261935 | + | 1.48551i | ||||
\(156\) | 1.88031 | − | 1.38809i | 0.150545 | − | 0.111136i | ||||
\(157\) | 17.9334 | − | 6.52721i | 1.43124 | − | 0.520928i | 0.493952 | − | 0.869489i | \(-0.335552\pi\) |
0.937286 | + | 0.348561i | \(0.113330\pi\) | |||||||
\(158\) | −5.33326 | + | 30.2464i | −0.424291 | + | 2.40628i | ||||
\(159\) | −20.5853 | − | 1.28230i | −1.63252 | − | 0.101693i | ||||
\(160\) | 17.1995 | − | 14.4321i | 1.35974 | − | 1.14095i | ||||
\(161\) | 2.95862 | 0.233172 | ||||||||
\(162\) | −17.6881 | + | 8.52872i | −1.38971 | + | 0.670079i | ||||
\(163\) | −18.5021 | −1.44920 | −0.724598 | − | 0.689171i | \(-0.757975\pi\) | ||||
−0.724598 | + | 0.689171i | \(0.757975\pi\) | |||||||
\(164\) | −8.77018 | + | 7.35906i | −0.684836 | + | 0.574646i | ||||
\(165\) | 6.78873 | + | 0.422885i | 0.528502 | + | 0.0329216i | ||||
\(166\) | 5.83443 | − | 33.0887i | 0.452839 | − | 2.56818i | ||||
\(167\) | 11.1847 | − | 4.07089i | 0.865495 | − | 0.315015i | 0.129154 | − | 0.991625i | \(-0.458774\pi\) |
0.736342 | + | 0.676610i | \(0.236552\pi\) | |||||||
\(168\) | −2.31252 | + | 1.70715i | −0.178415 | + | 0.131709i | ||||
\(169\) | −2.21594 | − | 12.5672i | −0.170457 | − | 0.966708i | ||||
\(170\) | −21.8430 | − | 37.8331i | −1.67528 | − | 2.90167i | ||||
\(171\) | 1.11527 | + | 2.64395i | 0.0852870 | + | 0.202188i | ||||
\(172\) | −15.3327 | + | 26.5569i | −1.16910 | + | 2.02495i | ||||
\(173\) | 11.7097 | + | 4.26200i | 0.890275 | + | 0.324034i | 0.746349 | − | 0.665555i | \(-0.231805\pi\) |
0.143926 | + | 0.989588i | \(0.454027\pi\) | |||||||
\(174\) | 6.06426 | − | 25.1348i | 0.459730 | − | 1.90547i | ||||
\(175\) | −3.09897 | − | 2.60034i | −0.234260 | − | 0.196568i | ||||
\(176\) | 1.90078 | + | 1.59494i | 0.143277 | + | 0.120223i | ||||
\(177\) | 8.03607 | − | 2.37056i | 0.604028 | − | 0.178182i | ||||
\(178\) | −22.6973 | − | 8.26113i | −1.70123 | − | 0.619198i | ||||
\(179\) | −7.15187 | + | 12.3874i | −0.534556 | + | 0.925878i | 0.464629 | + | 0.885506i | \(0.346188\pi\) |
−0.999185 | + | 0.0403727i | \(0.987145\pi\) | |||||||
\(180\) | 1.24760 | + | 24.8767i | 0.0929902 | + | 1.85420i | ||||
\(181\) | 1.37295 | + | 2.37802i | 0.102051 | + | 0.176757i | 0.912529 | − | 0.409011i | \(-0.134126\pi\) |
−0.810479 | + | 0.585768i | \(0.800793\pi\) | |||||||
\(182\) | −0.185194 | − | 1.05029i | −0.0137275 | − | 0.0778526i | ||||
\(183\) | −1.81549 | − | 16.0954i | −0.134205 | − | 1.18980i | ||||
\(184\) | −4.61381 | + | 1.67929i | −0.340134 | + | 0.123799i | ||||
\(185\) | −2.54475 | + | 14.4320i | −0.187093 | + | 1.06106i | ||||
\(186\) | −10.5054 | − | 21.1300i | −0.770291 | − | 1.54933i | ||||
\(187\) | 6.65894 | − | 5.58751i | 0.486950 | − | 0.408599i | ||||
\(188\) | −34.8678 | −2.54300 | ||||||||
\(189\) | −0.0628861 | + | 5.19577i | −0.00457429 | + | 0.377937i | ||||
\(190\) | 6.27677 | 0.455365 | ||||||||
\(191\) | −18.5372 | + | 15.5546i | −1.34131 | + | 1.12549i | −0.360017 | + | 0.932946i | \(0.617229\pi\) |
−0.981289 | + | 0.192543i | \(0.938326\pi\) | |||||||
\(192\) | −11.9584 | + | 18.0230i | −0.863020 | + | 1.30070i | ||||
\(193\) | 0.394160 | − | 2.23539i | 0.0283722 | − | 0.160907i | −0.967330 | − | 0.253521i | \(-0.918411\pi\) |
0.995702 | + | 0.0926143i | \(0.0295223\pi\) | |||||||
\(194\) | 1.19915 | − | 0.436457i | 0.0860943 | − | 0.0313358i | ||||
\(195\) | −2.33392 | − | 1.01794i | −0.167136 | − | 0.0728964i | ||||
\(196\) | 0.479372 | + | 2.71866i | 0.0342409 | + | 0.194190i | ||||
\(197\) | −1.20631 | − | 2.08939i | −0.0859460 | − | 0.148863i | 0.819848 | − | 0.572581i | \(-0.194058\pi\) |
−0.905794 | + | 0.423719i | \(0.860725\pi\) | |||||||
\(198\) | −8.33211 | + | 1.90388i | −0.592137 | + | 0.135303i | ||||
\(199\) | −1.62155 | + | 2.80860i | −0.114948 | + | 0.199097i | −0.917759 | − | 0.397137i | \(-0.870004\pi\) |
0.802811 | + | 0.596234i | \(0.203337\pi\) | |||||||
\(200\) | 6.30861 | + | 2.29615i | 0.446086 | + | 0.162362i | ||||
\(201\) | −7.98637 | − | 7.59588i | −0.563315 | − | 0.535772i | ||||
\(202\) | 27.2506 | + | 22.8660i | 1.91734 | + | 1.60884i | ||||
\(203\) | −5.24112 | − | 4.39783i | −0.367855 | − | 0.308667i | ||||
\(204\) | 23.0652 | + | 21.9375i | 1.61489 | + | 1.53593i | ||||
\(205\) | 11.7207 | + | 4.26597i | 0.818606 | + | 0.297948i | ||||
\(206\) | −4.27854 | + | 7.41064i | −0.298100 | + | 0.516324i | ||||
\(207\) | −2.61415 | + | 8.48217i | −0.181696 | + | 0.589552i | ||||
\(208\) | −0.464429 | − | 0.804415i | −0.0322024 | − | 0.0557762i | ||||
\(209\) | 0.216878 | + | 1.22998i | 0.0150018 | + | 0.0850794i | ||||
\(210\) | 10.4181 | + | 4.54389i | 0.718921 | + | 0.313558i | ||||
\(211\) | 6.34285 | − | 2.30861i | 0.436660 | − | 0.158931i | −0.114331 | − | 0.993443i | \(-0.536472\pi\) |
0.550990 | + | 0.834512i | \(0.314250\pi\) | |||||||
\(212\) | 5.70834 | − | 32.3736i | 0.392050 | − | 2.22343i | ||||
\(213\) | −7.83804 | + | 11.8131i | −0.537054 | + | 0.809419i | ||||
\(214\) | 4.95486 | − | 4.15762i | 0.338707 | − | 0.284209i | ||||
\(215\) | 33.4087 | 2.27845 | ||||||||
\(216\) | −2.85101 | − | 8.13822i | −0.193987 | − | 0.553735i | ||||
\(217\) | −6.24416 | −0.423881 | ||||||||
\(218\) | 10.0052 | − | 8.39540i | 0.677641 | − | 0.568608i | ||||
\(219\) | −5.61841 | − | 11.3006i | −0.379657 | − | 0.763625i | ||||
\(220\) | −1.88253 | + | 10.6764i | −0.126920 | + | 0.719800i | ||||
\(221\) | −3.05780 | + | 1.11295i | −0.205690 | + | 0.0748650i | ||||
\(222\) | −2.06395 | − | 18.2981i | −0.138523 | − | 1.22809i | ||||
\(223\) | 0.227532 | + | 1.29040i | 0.0152367 | + | 0.0864115i | 0.991478 | − | 0.130275i | \(-0.0415861\pi\) |
−0.976241 | + | 0.216687i | \(0.930475\pi\) | |||||||
\(224\) | 3.73264 | + | 6.46513i | 0.249398 | + | 0.431970i | ||||
\(225\) | 10.1932 | − | 6.58695i | 0.679545 | − | 0.439130i | ||||
\(226\) | −4.50811 | + | 7.80828i | −0.299875 | + | 0.519399i | ||||
\(227\) | 16.8450 | + | 6.13110i | 1.11805 | + | 0.406935i | 0.833938 | − | 0.551858i | \(-0.186081\pi\) |
0.284107 | + | 0.958793i | \(0.408303\pi\) | |||||||
\(228\) | −4.38668 | + | 1.29403i | −0.290515 | + | 0.0856990i | ||||
\(229\) | −17.0283 | − | 14.2885i | −1.12526 | − | 0.944209i | −0.126406 | − | 0.991979i | \(-0.540344\pi\) |
−0.998858 | + | 0.0477697i | \(0.984789\pi\) | |||||||
\(230\) | 14.8726 | + | 12.4796i | 0.980673 | + | 0.822883i | ||||
\(231\) | −0.530434 | + | 2.19851i | −0.0349000 | + | 0.144652i | ||||
\(232\) | 10.6694 | + | 3.88335i | 0.700481 | + | 0.254954i | ||||
\(233\) | 2.15129 | − | 3.72614i | 0.140935 | − | 0.244107i | −0.786914 | − | 0.617063i | \(-0.788322\pi\) |
0.927849 | + | 0.372956i | \(0.121656\pi\) | |||||||
\(234\) | 3.17474 | + | 0.397064i | 0.207539 | + | 0.0259569i | ||||
\(235\) | 18.9936 | + | 32.8978i | 1.23900 | + | 2.14602i | ||||
\(236\) | 2.31886 | + | 13.1509i | 0.150945 | + | 0.856051i | ||||
\(237\) | −19.6152 | + | 14.4803i | −1.27414 | + | 0.940599i | ||||
\(238\) | 13.6494 | − | 4.96797i | 0.884758 | − | 0.322026i | ||||
\(239\) | 2.00625 | − | 11.3780i | 0.129773 | − | 0.735981i | −0.848584 | − | 0.529060i | \(-0.822545\pi\) |
0.978358 | − | 0.206921i | \(-0.0663444\pi\) | |||||||
\(240\) | 9.88000 | + | 0.615448i | 0.637751 | + | 0.0397270i | ||||
\(241\) | −0.509255 | + | 0.427316i | −0.0328040 | + | 0.0275258i | −0.659042 | − | 0.752106i | \(-0.729038\pi\) |
0.626238 | + | 0.779632i | \(0.284594\pi\) | |||||||
\(242\) | 20.2807 | 1.30369 | ||||||||
\(243\) | −14.8404 | − | 4.77112i | −0.952010 | − | 0.306067i | ||||
\(244\) | 25.8160 | 1.65270 | ||||||||
\(245\) | 2.30392 | − | 1.93322i | 0.147192 | − | 0.123509i | ||||
\(246\) | −15.6424 | − | 0.974398i | −0.997320 | − | 0.0621253i | ||||
\(247\) | 0.0811873 | − | 0.460436i | 0.00516583 | − | 0.0292969i | ||||
\(248\) | 9.73743 | − | 3.54413i | 0.618327 | − | 0.225053i | ||||
\(249\) | 21.4584 | − | 15.8411i | 1.35987 | − | 1.00389i | ||||
\(250\) | 1.08775 | + | 6.16893i | 0.0687952 | + | 0.390157i | ||||
\(251\) | 1.97167 | + | 3.41503i | 0.124451 | + | 0.215555i | 0.921518 | − | 0.388336i | \(-0.126950\pi\) |
−0.797067 | + | 0.603890i | \(0.793617\pi\) | |||||||
\(252\) | −8.21776 | − | 1.02779i | −0.517670 | − | 0.0647450i | ||||
\(253\) | −1.93159 | + | 3.34560i | −0.121438 | + | 0.210336i | ||||
\(254\) | 12.2331 | + | 4.45249i | 0.767573 | + | 0.279374i | ||||
\(255\) | 8.13369 | − | 33.7121i | 0.509351 | − | 2.11113i | ||||
\(256\) | −1.45311 | − | 1.21931i | −0.0908195 | − | 0.0762066i | ||||
\(257\) | 2.44043 | + | 2.04776i | 0.152230 | + | 0.127736i | 0.715722 | − | 0.698386i | \(-0.246098\pi\) |
−0.563492 | + | 0.826122i | \(0.690542\pi\) | |||||||
\(258\) | −40.2640 | + | 11.8775i | −2.50673 | + | 0.739460i | ||||
\(259\) | −4.57874 | − | 1.66652i | −0.284509 | − | 0.103553i | ||||
\(260\) | 2.02915 | − | 3.51459i | 0.125842 | − | 0.217965i | ||||
\(261\) | 17.2392 | − | 11.1402i | 1.06708 | − | 0.689559i | ||||
\(262\) | 4.86749 | + | 8.43074i | 0.300714 | + | 0.520853i | ||||
\(263\) | 3.15840 | + | 17.9122i | 0.194755 | + | 1.10451i | 0.912767 | + | 0.408481i | \(0.133941\pi\) |
−0.718012 | + | 0.696031i | \(0.754948\pi\) | |||||||
\(264\) | −0.420675 | − | 3.72953i | −0.0258908 | − | 0.229537i | ||||
\(265\) | −33.6540 | + | 12.2491i | −2.06735 | + | 0.752454i | ||||
\(266\) | −0.362404 | + | 2.05529i | −0.0222204 | + | 0.126018i | ||||
\(267\) | −8.53618 | − | 17.1693i | −0.522406 | − | 1.05074i | ||||
\(268\) | 13.4570 | − | 11.2917i | 0.822016 | − | 0.689753i | ||||
\(269\) | −0.331153 | −0.0201907 | −0.0100954 | − | 0.999949i | \(-0.503214\pi\) | ||||
−0.0100954 | + | 0.999949i | \(0.503214\pi\) | |||||||
\(270\) | −22.2322 | + | 25.8533i | −1.35301 | + | 1.57338i | ||||
\(271\) | −9.51064 | −0.577730 | −0.288865 | − | 0.957370i | \(-0.593278\pi\) | ||||
−0.288865 | + | 0.957370i | \(0.593278\pi\) | |||||||
\(272\) | 9.69111 | − | 8.13181i | 0.587610 | − | 0.493063i | ||||
\(273\) | 0.468074 | − | 0.705456i | 0.0283291 | − | 0.0426961i | ||||
\(274\) | −0.127976 | + | 0.725786i | −0.00773129 | + | 0.0438463i | ||||
\(275\) | 4.96368 | − | 1.80663i | 0.299321 | − | 0.108944i | ||||
\(276\) | −12.9669 | − | 5.65555i | −0.780519 | − | 0.340424i | ||||
\(277\) | −2.77390 | − | 15.7316i | −0.166668 | − | 0.945220i | −0.947328 | − | 0.320264i | \(-0.896228\pi\) |
0.780660 | − | 0.624955i | \(-0.214883\pi\) | |||||||
\(278\) | 4.19918 | + | 7.27320i | 0.251850 | + | 0.436217i | ||||
\(279\) | 5.51716 | − | 17.9016i | 0.330303 | − | 1.07174i | ||||
\(280\) | −2.49556 | + | 4.32244i | −0.149138 | + | 0.258315i | ||||
\(281\) | −4.43503 | − | 1.61422i | −0.264572 | − | 0.0962963i | 0.206328 | − | 0.978483i | \(-0.433849\pi\) |
−0.470900 | + | 0.882187i | \(0.656071\pi\) | |||||||
\(282\) | −34.5869 | − | 32.8957i | −2.05962 | − | 1.95891i | ||||
\(283\) | −6.07279 | − | 5.09567i | −0.360990 | − | 0.302906i | 0.444195 | − | 0.895930i | \(-0.353490\pi\) |
−0.805185 | + | 0.593024i | \(0.797934\pi\) | |||||||
\(284\) | −17.3092 | − | 14.5241i | −1.02711 | − | 0.861848i | ||||
\(285\) | 3.61048 | + | 3.43394i | 0.213866 | + | 0.203409i | ||||
\(286\) | 1.30857 | + | 0.476281i | 0.0773774 | + | 0.0281631i | ||||
\(287\) | −2.07359 | + | 3.59155i | −0.122400 | + | 0.212003i | ||||
\(288\) | −21.8331 | + | 4.98884i | −1.28653 | + | 0.293971i | ||||
\(289\) | −13.6597 | − | 23.6592i | −0.803509 | − | 1.39172i | ||||
\(290\) | −7.79625 | − | 44.2147i | −0.457811 | − | 2.59638i | ||||
\(291\) | 0.928548 | + | 0.404987i | 0.0544325 | + | 0.0237408i | ||||
\(292\) | 18.9015 | − | 6.87957i | 1.10612 | − | 0.402596i | ||||
\(293\) | −0.561381 | + | 3.18375i | −0.0327962 | + | 0.185997i | −0.996805 | − | 0.0798739i | \(-0.974548\pi\) |
0.964009 | + | 0.265870i | \(0.0856593\pi\) | |||||||
\(294\) | −2.08938 | + | 3.14901i | −0.121855 | + | 0.183654i | ||||
\(295\) | 11.1447 | − | 9.35155i | 0.648872 | − | 0.544468i | ||||
\(296\) | 8.08620 | 0.470001 | ||||||||
\(297\) | −5.83431 | − | 3.46326i | −0.338541 | − | 0.200959i | ||||
\(298\) | 10.7917 | 0.625147 | ||||||||
\(299\) | 1.10782 | − | 0.929573i | 0.0640670 | − | 0.0537586i | ||||
\(300\) | 8.61138 | + | 17.3205i | 0.497178 | + | 1.00000i | ||||
\(301\) | −1.92892 | + | 10.9395i | −0.111181 | + | 0.630540i | ||||
\(302\) | 19.7993 | − | 7.20634i | 1.13932 | − | 0.414678i | ||||
\(303\) | 3.16519 | + | 28.0612i | 0.181835 | + | 1.61207i | ||||
\(304\) | 0.315635 | + | 1.79005i | 0.0181029 | + | 0.102667i | ||||
\(305\) | −14.0627 | − | 24.3574i | −0.805230 | − | 1.39470i | ||||
\(306\) | 2.18265 | + | 43.5214i | 0.124774 | + | 2.48795i | ||||
\(307\) | 5.47181 | − | 9.47745i | 0.312293 | − | 0.540907i | −0.666566 | − | 0.745446i | \(-0.732236\pi\) |
0.978858 | + | 0.204540i | \(0.0655697\pi\) | |||||||
\(308\) | −3.38722 | − | 1.23285i | −0.193005 | − | 0.0702479i | ||||
\(309\) | −6.51534 | + | 1.92196i | −0.370644 | + | 0.109336i | ||||
\(310\) | −31.3887 | − | 26.3382i | −1.78276 | − | 1.49591i | ||||
\(311\) | 24.8385 | + | 20.8420i | 1.40846 | + | 1.18184i | 0.957192 | + | 0.289454i | \(0.0934737\pi\) |
0.451271 | + | 0.892387i | \(0.350971\pi\) | |||||||
\(312\) | −0.329524 | + | 1.36579i | −0.0186556 | + | 0.0773229i | ||||
\(313\) | 1.41144 | + | 0.513720i | 0.0797790 | + | 0.0290372i | 0.381601 | − | 0.924327i | \(-0.375373\pi\) |
−0.301822 | + | 0.953364i | \(0.597595\pi\) | |||||||
\(314\) | −20.8198 | + | 36.0609i | −1.17493 | + | 2.03504i | ||||
\(315\) | 3.50674 | + | 8.31333i | 0.197582 | + | 0.468403i | ||||
\(316\) | −19.4296 | − | 33.6531i | −1.09300 | − | 1.89314i | ||||
\(317\) | 0.147510 | + | 0.836570i | 0.00828498 | + | 0.0469865i | 0.988670 | − | 0.150106i | \(-0.0479613\pi\) |
−0.980385 | + | 0.197092i | \(0.936850\pi\) | |||||||
\(318\) | 36.2049 | − | 26.7272i | 2.03027 | − | 1.49879i | ||||
\(319\) | 8.39481 | − | 3.05546i | 0.470019 | − | 0.171073i | ||||
\(320\) | −6.52182 | + | 36.9871i | −0.364581 | + | 2.06764i | ||||
\(321\) | 5.12468 | + | 0.319228i | 0.286031 | + | 0.0178175i | ||||
\(322\) | −4.94509 | + | 4.14942i | −0.275579 | + | 0.231238i | ||||
\(323\) | 6.36778 | 0.354313 | ||||||||
\(324\) | 10.2076 | − | 22.6516i | 0.567088 | − | 1.25842i | ||||
\(325\) | −1.97738 | −0.109685 | ||||||||
\(326\) | 30.9247 | − | 25.9489i | 1.71276 | − | 1.43718i | ||||
\(327\) | 10.3482 | + | 0.644610i | 0.572254 | + | 0.0356470i | ||||
\(328\) | 1.19511 | − | 6.77778i | 0.0659887 | − | 0.374240i | ||||
\(329\) | −11.8688 | + | 4.31990i | −0.654349 | + | 0.238164i | ||||
\(330\) | −11.9399 | + | 8.81427i | −0.657269 | + | 0.485210i | ||||
\(331\) | 1.21943 | + | 6.91574i | 0.0670260 | + | 0.380123i | 0.999806 | + | 0.0196780i | \(0.00626410\pi\) |
−0.932780 | + | 0.360445i | \(0.882625\pi\) | |||||||
\(332\) | 21.2554 | + | 36.8155i | 1.16654 | + | 2.02051i | ||||
\(333\) | 8.82345 | − | 11.6544i | 0.483522 | − | 0.638659i | ||||
\(334\) | −12.9849 | + | 22.4905i | −0.710501 | + | 1.23062i | ||||
\(335\) | −17.9842 | − | 6.54571i | −0.982582 | − | 0.357631i | ||||
\(336\) | −0.771969 | + | 3.19961i | −0.0421143 | + | 0.174553i | ||||
\(337\) | 15.6307 | + | 13.1157i | 0.851457 | + | 0.714457i | 0.960110 | − | 0.279623i | \(-0.0902094\pi\) |
−0.108653 | + | 0.994080i | \(0.534654\pi\) | |||||||
\(338\) | 21.3291 | + | 17.8972i | 1.16015 | + | 0.973480i | ||||
\(339\) | −6.86493 | + | 2.02508i | −0.372852 | + | 0.109987i | ||||
\(340\) | 51.9397 | + | 18.9045i | 2.81683 | + | 1.02524i | ||||
\(341\) | 4.07661 | − | 7.06089i | 0.220761 | − | 0.382369i | ||||
\(342\) | −5.57218 | − | 2.85498i | −0.301309 | − | 0.154380i | ||||
\(343\) | 0.500000 | + | 0.866025i | 0.0269975 | + | 0.0467610i | ||||
\(344\) | −3.20110 | − | 18.1543i | −0.172592 | − | 0.978816i | ||||
\(345\) | 1.72748 | + | 15.3151i | 0.0930042 | + | 0.824536i | ||||
\(346\) | −25.5492 | + | 9.29916i | −1.37354 | + | 0.499926i | ||||
\(347\) | 0.591266 | − | 3.35324i | 0.0317408 | − | 0.180011i | −0.964816 | − | 0.262927i | \(-0.915312\pi\) |
0.996557 | + | 0.0829159i | \(0.0264233\pi\) | |||||||
\(348\) | 14.5640 | + | 29.2933i | 0.780711 | + | 1.57029i | ||||
\(349\) | −8.07565 | + | 6.77628i | −0.432280 | + | 0.362726i | −0.832811 | − | 0.553557i | \(-0.813270\pi\) |
0.400531 | + | 0.916283i | \(0.368826\pi\) | |||||||
\(350\) | 8.82661 | 0.471802 | ||||||||
\(351\) | 1.60892 | + | 1.96526i | 0.0858777 | + | 0.104898i | ||||
\(352\) | −9.74767 | −0.519553 | ||||||||
\(353\) | −9.17403 | + | 7.69793i | −0.488284 | + | 0.409719i | −0.853411 | − | 0.521239i | \(-0.825470\pi\) |
0.365127 | + | 0.930958i | \(0.381026\pi\) | |||||||
\(354\) | −10.1069 | + | 15.2327i | −0.537178 | + | 0.809606i | ||||
\(355\) | −4.27469 | + | 24.2430i | −0.226877 | + | 1.28668i | ||||
\(356\) | 28.7174 | − | 10.4523i | 1.52202 | − | 0.553971i | ||||
\(357\) | 10.5692 | + | 4.60977i | 0.559381 | + | 0.243975i | ||||
\(358\) | −5.41939 | − | 30.7349i | −0.286424 | − | 1.62439i | ||||
\(359\) | 0.608720 | + | 1.05433i | 0.0321270 | + | 0.0556456i | 0.881642 | − | 0.471919i | \(-0.156439\pi\) |
−0.849515 | + | 0.527565i | \(0.823105\pi\) | |||||||
\(360\) | −10.1871 | − | 10.9738i | −0.536910 | − | 0.578370i | ||||
\(361\) | 9.04254 | − | 15.6621i | 0.475923 | − | 0.824323i | ||||
\(362\) | −5.62992 | − | 2.04912i | −0.295902 | − | 0.107700i | ||||
\(363\) | 11.6657 | + | 11.0953i | 0.612290 | + | 0.582353i | ||||
\(364\) | 1.03367 | + | 0.867355i | 0.0541792 | + | 0.0454617i | ||||
\(365\) | −16.7871 | − | 14.0860i | −0.878676 | − | 0.737297i | ||||
\(366\) | 25.6079 | + | 24.3559i | 1.33855 | + | 1.27310i | ||||
\(367\) | 11.8314 | + | 4.30628i | 0.617595 | + | 0.224786i | 0.631823 | − | 0.775113i | \(-0.282307\pi\) |
−0.0142282 | + | 0.999899i | \(0.504529\pi\) | |||||||
\(368\) | −2.81114 | + | 4.86904i | −0.146541 | + | 0.253816i | ||||
\(369\) | −8.46459 | − | 9.11822i | −0.440649 | − | 0.474676i | ||||
\(370\) | −15.9873 | − | 27.6908i | −0.831140 | − | 1.43958i | ||||
\(371\) | −2.06779 | − | 11.7270i | −0.107354 | − | 0.608837i | ||||
\(372\) | 27.3667 | + | 11.9360i | 1.41890 | + | 0.618854i | ||||
\(373\) | −26.8352 | + | 9.76720i | −1.38947 | + | 0.505726i | −0.925036 | − | 0.379880i | \(-0.875965\pi\) |
−0.464436 | + | 0.885607i | \(0.653743\pi\) | |||||||
\(374\) | −3.29346 | + | 18.6781i | −0.170301 | + | 0.965822i | ||||
\(375\) | −2.74926 | + | 4.14353i | −0.141971 | + | 0.213971i | ||||
\(376\) | 16.0568 | − | 13.4733i | 0.828068 | − | 0.694832i | ||||
\(377\) | −3.34424 | −0.172237 | ||||||||
\(378\) | −7.18188 | − | 8.77249i | −0.369396 | − | 0.451208i | ||||
\(379\) | −6.41753 | −0.329646 | −0.164823 | − | 0.986323i | \(-0.552705\pi\) | ||||
−0.164823 | + | 0.986323i | \(0.552705\pi\) | |||||||
\(380\) | −6.08363 | + | 5.10477i | −0.312084 | + | 0.261869i | ||||
\(381\) | 4.60073 | + | 9.25370i | 0.235703 | + | 0.474081i | ||||
\(382\) | 9.16835 | − | 51.9963i | 0.469094 | − | 2.66036i | ||||
\(383\) | −11.9354 | + | 4.34414i | −0.609872 | + | 0.221975i | −0.628447 | − | 0.777852i | \(-0.716309\pi\) |
0.0185751 | + | 0.999827i | \(0.494087\pi\) | |||||||
\(384\) | −2.39102 | − | 21.1978i | −0.122016 | − | 1.08175i | ||||
\(385\) | 0.681929 | + | 3.86741i | 0.0347543 | + | 0.197101i | ||||
\(386\) | 2.47630 | + | 4.28907i | 0.126040 | + | 0.218308i | ||||
\(387\) | −29.6584 | − | 15.1959i | −1.50762 | − | 0.772450i | ||||
\(388\) | −0.807294 | + | 1.39827i | −0.0409841 | + | 0.0709866i | ||||
\(389\) | −26.5616 | − | 9.66765i | −1.34673 | − | 0.490169i | −0.434803 | − | 0.900525i | \(-0.643182\pi\) |
−0.911925 | + | 0.410356i | \(0.865404\pi\) | |||||||
\(390\) | 5.32860 | − | 1.57188i | 0.269824 | − | 0.0795954i | ||||
\(391\) | 15.0883 | + | 12.6606i | 0.763047 | + | 0.640273i | ||||
\(392\) | −1.27127 | − | 1.06672i | −0.0642089 | − | 0.0538777i | ||||
\(393\) | −1.81251 | + | 7.51240i | −0.0914291 | + | 0.378951i | ||||
\(394\) | 4.94658 | + | 1.80041i | 0.249205 | + | 0.0907032i | ||||
\(395\) | −21.1678 | + | 36.6637i | −1.06507 | + | 1.84475i | ||||
\(396\) | 6.52733 | − | 8.62162i | 0.328011 | − | 0.433253i | ||||
\(397\) | 16.9697 | + | 29.3923i | 0.851684 | + | 1.47516i | 0.879688 | + | 0.475552i | \(0.157752\pi\) |
−0.0280039 | + | 0.999608i | \(0.508915\pi\) | |||||||
\(398\) | −1.22874 | − | 6.96854i | −0.0615912 | − | 0.349301i | ||||
\(399\) | −1.33288 | + | 0.983962i | −0.0667276 | + | 0.0492597i | ||||
\(400\) | 7.22391 | − | 2.62929i | 0.361195 | − | 0.131464i | ||||
\(401\) | −4.55041 | + | 25.8067i | −0.227237 | + | 1.28872i | 0.631126 | + | 0.775680i | \(0.282593\pi\) |
−0.858363 | + | 0.513043i | \(0.828518\pi\) | |||||||
\(402\) | 24.0017 | + | 1.49512i | 1.19709 | + | 0.0745697i | ||||
\(403\) | −2.33805 | + | 1.96186i | −0.116467 | + | 0.0977273i | ||||
\(404\) | −45.0084 | −2.23925 | ||||||||
\(405\) | −26.9322 | + | 2.70817i | −1.33827 | + | 0.134570i | ||||
\(406\) | 14.9280 | 0.740863 | ||||||||
\(407\) | 4.87381 | − | 4.08961i | 0.241586 | − | 0.202714i | ||||
\(408\) | −19.0986 | − | 1.18969i | −0.945519 | − | 0.0588985i | ||||
\(409\) | 3.17029 | − | 17.9796i | 0.156761 | − | 0.889034i | −0.800398 | − | 0.599469i | \(-0.795378\pi\) |
0.957158 | − | 0.289565i | \(-0.0935105\pi\) | |||||||
\(410\) | −25.5731 | + | 9.30783i | −1.26296 | + | 0.459681i | ||||
\(411\) | −0.470681 | + | 0.347467i | −0.0232170 | + | 0.0171393i | ||||
\(412\) | −1.88004 | − | 10.6623i | −0.0926230 | − | 0.525291i | ||||
\(413\) | 2.41864 | + | 4.18921i | 0.119014 | + | 0.206138i | ||||
\(414\) | −7.52678 | − | 17.8435i | −0.369921 | − | 0.876962i | ||||
\(415\) | 23.1570 | − | 40.1090i | 1.13673 | − | 1.96887i | ||||
\(416\) | 3.42893 | + | 1.24803i | 0.168117 | + | 0.0611897i | ||||
\(417\) | −1.56365 | + | 6.48095i | −0.0765725 | + | 0.317373i | ||||
\(418\) | −2.08752 | − | 1.75164i | −0.102104 | − | 0.0856754i | ||||
\(419\) | −12.3816 | − | 10.3894i | −0.604883 | − | 0.507557i | 0.288128 | − | 0.957592i | \(-0.406967\pi\) |
−0.893011 | + | 0.450035i | \(0.851412\pi\) | |||||||
\(420\) | −13.7930 | + | 4.06880i | −0.673030 | + | 0.198537i | ||||
\(421\) | 32.3017 | + | 11.7568i | 1.57429 | + | 0.572993i | 0.973952 | − | 0.226755i | \(-0.0728118\pi\) |
0.600335 | + | 0.799749i | \(0.295034\pi\) | |||||||
\(422\) | −7.36375 | + | 12.7544i | −0.358462 | + | 0.620874i | ||||
\(423\) | −1.89792 | − | 37.8441i | −0.0922801 | − | 1.84004i | ||||
\(424\) | 9.88077 | + | 17.1140i | 0.479853 | + | 0.831129i | ||||
\(425\) | −4.67660 | − | 26.5223i | −0.226848 | − | 1.28652i | ||||
\(426\) | −3.46704 | − | 30.7373i | −0.167979 | − | 1.48923i | ||||
\(427\) | 8.78762 | − | 3.19843i | 0.425263 | − | 0.154783i | ||||
\(428\) | −1.42108 | + | 8.05937i | −0.0686907 | + | 0.389564i | ||||
\(429\) | 0.492139 | + | 0.989865i | 0.0237607 | + | 0.0477911i | ||||
\(430\) | −55.8398 | + | 46.8551i | −2.69283 | + | 2.25955i | ||||
\(431\) | −19.4880 | −0.938706 | −0.469353 | − | 0.883011i | \(-0.655513\pi\) | ||||
−0.469353 | + | 0.883011i | \(0.655513\pi\) | |||||||
\(432\) | −8.49099 | − | 5.04027i | −0.408523 | − | 0.242500i | ||||
\(433\) | 21.4967 | 1.03307 | 0.516533 | − | 0.856267i | \(-0.327222\pi\) | ||||
0.516533 | + | 0.856267i | \(0.327222\pi\) | |||||||
\(434\) | 10.4366 | − | 8.75734i | 0.500973 | − | 0.420366i | ||||
\(435\) | 19.7048 | − | 29.6981i | 0.944774 | − | 1.42391i | ||||
\(436\) | −2.86957 | + | 16.2741i | −0.137427 | + | 0.779389i | ||||
\(437\) | −2.65930 | + | 0.967905i | −0.127211 | + | 0.0463012i | ||||
\(438\) | 25.2396 | + | 11.0083i | 1.20600 | + | 0.525997i | ||||
\(439\) | 0.490985 | + | 2.78451i | 0.0234334 | + | 0.132898i | 0.994280 | − | 0.106804i | \(-0.0340616\pi\) |
−0.970847 | + | 0.239701i | \(0.922951\pi\) | |||||||
\(440\) | −3.25854 | − | 5.64396i | −0.155345 | − | 0.269065i | ||||
\(441\) | −2.92462 | + | 0.668272i | −0.139268 | + | 0.0318225i | ||||
\(442\) | 3.54996 | − | 6.14871i | 0.168854 | − | 0.292465i | ||||
\(443\) | 21.2730 | + | 7.74273i | 1.01071 | + | 0.367868i | 0.793705 | − | 0.608303i | \(-0.208149\pi\) |
0.217004 | + | 0.976171i | \(0.430372\pi\) | |||||||
\(444\) | 16.8819 | + | 16.0565i | 0.801179 | + | 0.762006i | ||||
\(445\) | −25.5050 | − | 21.4012i | −1.20905 | − | 1.01452i | ||||
\(446\) | −2.19007 | − | 1.83768i | −0.103703 | − | 0.0870169i | ||||
\(447\) | 6.20752 | + | 5.90401i | 0.293606 | + | 0.279250i | ||||
\(448\) | −11.7346 | − | 4.27106i | −0.554410 | − | 0.201789i | ||||
\(449\) | 2.44498 | − | 4.23484i | 0.115386 | − | 0.199854i | −0.802548 | − | 0.596588i | \(-0.796523\pi\) |
0.917934 | + | 0.396733i | \(0.129856\pi\) | |||||||
\(450\) | −7.79893 | + | 25.3053i | −0.367645 | + | 1.19290i | ||||
\(451\) | −2.70755 | − | 4.68961i | −0.127494 | − | 0.220825i | ||||
\(452\) | −1.98092 | − | 11.2344i | −0.0931746 | − | 0.528420i | ||||
\(453\) | 15.3313 | + | 6.68675i | 0.720326 | + | 0.314171i | ||||
\(454\) | −36.7539 | + | 13.3773i | −1.72494 | + | 0.627828i | ||||
\(455\) | 0.255277 | − | 1.44775i | 0.0119676 | − | 0.0678714i | ||||
\(456\) | 1.52007 | − | 2.29097i | 0.0711838 | − | 0.107284i | ||||
\(457\) | −4.37872 | + | 3.67418i | −0.204828 | + | 0.171871i | −0.739431 | − | 0.673232i | \(-0.764905\pi\) |
0.534603 | + | 0.845103i | \(0.320461\pi\) | |||||||
\(458\) | 48.5008 | 2.26629 | ||||||||
\(459\) | −22.5545 | + | 26.2281i | −1.05276 | + | 1.22422i | ||||
\(460\) | −24.5644 | −1.14532 | ||||||||
\(461\) | −5.39485 | + | 4.52682i | −0.251263 | + | 0.210835i | −0.759716 | − | 0.650255i | \(-0.774662\pi\) |
0.508453 | + | 0.861090i | \(0.330218\pi\) | |||||||
\(462\) | −2.19681 | − | 4.41855i | −0.102205 | − | 0.205570i | ||||
\(463\) | −1.02988 | + | 5.84076i | −0.0478627 | + | 0.271443i | −0.999342 | − | 0.0362697i | \(-0.988452\pi\) |
0.951479 | + | 0.307713i | \(0.0995636\pi\) | |||||||
\(464\) | 12.2174 | − | 4.44678i | 0.567179 | − | 0.206436i | ||||
\(465\) | −3.64583 | − | 32.3224i | −0.169071 | − | 1.49892i | ||||
\(466\) | 1.63016 | + | 9.24507i | 0.0755155 | + | 0.428270i | ||||
\(467\) | 1.17341 | + | 2.03241i | 0.0542990 | + | 0.0940486i | 0.891897 | − | 0.452238i | \(-0.149374\pi\) |
−0.837598 | + | 0.546287i | \(0.816041\pi\) | |||||||
\(468\) | −3.39997 | + | 2.19710i | −0.157164 | + | 0.101561i | ||||
\(469\) | 3.18171 | − | 5.51089i | 0.146918 | − | 0.254469i | ||||
\(470\) | −77.8848 | − | 28.3477i | −3.59256 | − | 1.30758i | ||||
\(471\) | −31.7043 | + | 9.35244i | −1.46086 | + | 0.430938i | ||||
\(472\) | −6.14950 | − | 5.16004i | −0.283054 | − | 0.237510i | ||||
\(473\) | −11.1110 | − | 9.32323i | −0.510884 | − | 0.428683i | ||||
\(474\) | 12.4767 | − | 51.7127i | 0.573073 | − | 2.37524i | ||||
\(475\) | 3.63614 | + | 1.32345i | 0.166838 | + | 0.0607239i | ||||
\(476\) | −9.18902 | + | 15.9159i | −0.421178 | + | 0.729502i | ||||
\(477\) | 35.4477 | + | 4.43343i | 1.62304 | + | 0.202993i | ||||
\(478\) | 12.6042 | + | 21.8311i | 0.576502 | + | 0.998531i | ||||
\(479\) | 1.44315 | + | 8.18451i | 0.0659392 | + | 0.373960i | 0.999864 | + | 0.0164903i | \(0.00524926\pi\) |
−0.933925 | + | 0.357469i | \(0.883640\pi\) | |||||||
\(480\) | −31.2868 | + | 23.0966i | −1.42804 | + | 1.05421i | ||||
\(481\) | −2.23806 | + | 0.814588i | −0.102047 | + | 0.0371420i | ||||
\(482\) | 0.251873 | − | 1.42844i | 0.0114725 | − | 0.0650639i | ||||
\(483\) | −5.11457 | − | 0.318598i | −0.232721 | − | 0.0144967i | ||||
\(484\) | −19.6566 | + | 16.4939i | −0.893483 | + | 0.749721i | ||||
\(485\) | 1.75903 | 0.0798734 | ||||||||
\(486\) | 31.4958 | − | 12.8389i | 1.42868 | − | 0.582383i | ||||
\(487\) | −16.5284 | −0.748975 | −0.374488 | − | 0.927232i | \(-0.622181\pi\) | ||||
−0.374488 | + | 0.927232i | \(0.622181\pi\) | |||||||
\(488\) | −11.8884 | + | 9.97556i | −0.538163 | + | 0.451573i | ||||
\(489\) | 31.9846 | + | 1.99239i | 1.44639 | + | 0.0900991i | ||||
\(490\) | −1.13950 | + | 6.46244i | −0.0514775 | + | 0.291943i | ||||
\(491\) | 30.3655 | − | 11.0522i | 1.37038 | − | 0.498777i | 0.451131 | − | 0.892458i | \(-0.351021\pi\) |
0.919247 | + | 0.393681i | \(0.128799\pi\) | |||||||
\(492\) | 15.9535 | − | 11.7772i | 0.719238 | − | 0.530957i | ||||
\(493\) | −7.90928 | − | 44.8558i | −0.356216 | − | 2.02020i | ||||
\(494\) | 0.510057 | + | 0.883445i | 0.0229485 | + | 0.0397481i | ||||
\(495\) | −11.6901 | − | 1.46208i | −0.525433 | − | 0.0657158i | ||||
\(496\) | 5.93290 | − | 10.2761i | 0.266395 | − | 0.461410i | ||||
\(497\) | −7.69140 | − | 2.79944i | −0.345007 | − | 0.125572i | ||||
\(498\) | −13.6491 | + | 56.5721i | −0.611631 | + | 2.53506i | ||||
\(499\) | 4.04754 | + | 3.39629i | 0.181193 | + | 0.152039i | 0.728873 | − | 0.684649i | \(-0.240045\pi\) |
−0.547680 | + | 0.836688i | \(0.684489\pi\) | |||||||
\(500\) | −6.07134 | − | 5.09446i | −0.271518 | − | 0.227831i | ||||
\(501\) | −19.7733 | + | 5.83292i | −0.883406 | + | 0.260596i | ||||
\(502\) | −8.08500 | − | 2.94270i | −0.360851 | − | 0.131339i | ||||
\(503\) | 15.8053 | − | 27.3756i | 0.704725 | − | 1.22062i | −0.262066 | − | 0.965050i | \(-0.584404\pi\) |
0.966791 | − | 0.255569i | \(-0.0822628\pi\) | |||||||
\(504\) | 4.18148 | − | 2.70212i | 0.186258 | − | 0.120362i | ||||
\(505\) | 24.5175 | + | 42.4655i | 1.09101 | + | 1.88969i | ||||
\(506\) | −1.46368 | − | 8.30092i | −0.0650683 | − | 0.369021i | ||||
\(507\) | 2.47740 | + | 21.9636i | 0.110025 | + | 0.975436i | ||||
\(508\) | −15.4778 | + | 5.63345i | −0.686716 | + | 0.249944i | ||||
\(509\) | −0.391239 | + | 2.21883i | −0.0173414 | + | 0.0983478i | −0.992250 | − | 0.124258i | \(-0.960345\pi\) |
0.974909 | + | 0.222605i | \(0.0714562\pi\) | |||||||
\(510\) | 33.6859 | + | 67.7543i | 1.49164 | + | 3.00021i | ||||
\(511\) | 5.58163 | − | 4.68354i | 0.246917 | − | 0.207188i | ||||
\(512\) | −20.4935 | −0.905694 | ||||||||
\(513\) | −1.64326 | − | 4.69069i | −0.0725516 | − | 0.207099i | ||||
\(514\) | −6.95093 | −0.306592 | ||||||||
\(515\) | −9.03572 | + | 7.58187i | −0.398162 | + | 0.334097i | ||||
\(516\) | 29.3653 | − | 44.2579i | 1.29274 | − | 1.94834i | ||||
\(517\) | 2.86383 | − | 16.2416i | 0.125951 | − | 0.714303i | ||||
\(518\) | 9.99025 | − | 3.63615i | 0.438946 | − | 0.159763i | ||||
\(519\) | −19.7837 | − | 8.62867i | −0.868407 | − | 0.378757i | ||||
\(520\) | 0.423638 | + | 2.40257i | 0.0185778 | + | 0.105360i | ||||
\(521\) | 12.9404 | + | 22.4135i | 0.566930 | + | 0.981952i | 0.996867 | + | 0.0790931i | \(0.0252024\pi\) |
−0.429937 | + | 0.902859i | \(0.641464\pi\) | |||||||
\(522\) | −13.1899 | + | 42.7975i | −0.577307 | + | 1.87320i | ||||
\(523\) | 10.9790 | − | 19.0162i | 0.480079 | − | 0.831521i | −0.519660 | − | 0.854373i | \(-0.673941\pi\) |
0.999739 | + | 0.0228519i | \(0.00727462\pi\) | |||||||
\(524\) | −11.5743 | − | 4.21268i | −0.505624 | − | 0.184032i | ||||
\(525\) | 5.07717 | + | 4.82893i | 0.221586 | + | 0.210752i | ||||
\(526\) | −30.4005 | − | 25.5091i | −1.32553 | − | 1.11225i | ||||
\(527\) | −31.8438 | − | 26.7201i | −1.38714 | − | 1.16395i | ||||
\(528\) | −3.11413 | − | 2.96186i | −0.135525 | − | 0.128899i | ||||
\(529\) | 13.3874 | + | 4.87261i | 0.582060 | + | 0.211853i | ||||
\(530\) | 39.0707 | − | 67.6725i | 1.69712 | − | 2.93951i | ||||
\(531\) | −14.1472 | + | 3.23262i | −0.613937 | + | 0.140284i | ||||
\(532\) | −1.32027 | − | 2.28678i | −0.0572412 | − | 0.0991446i | ||||
\(533\) | 0.352005 | + | 1.99632i | 0.0152470 | + | 0.0864702i | ||||
\(534\) | 38.3472 | + | 16.7252i | 1.65945 | + | 0.723769i | ||||
\(535\) | 8.37812 | − | 3.04939i | 0.362218 | − | 0.131837i | ||||
\(536\) | −1.83377 | + | 10.3998i | −0.0792069 | + | 0.449205i | ||||
\(537\) | 13.6974 | − | 20.6440i | 0.591086 | − | 0.890853i | ||||
\(538\) | 0.553494 | − | 0.464436i | 0.0238628 | − | 0.0200233i | ||||
\(539\) | −1.30573 | −0.0562419 | ||||||||
\(540\) | 0.522122 | − | 43.1387i | 0.0224685 | − | 1.85639i | ||||
\(541\) | 6.61566 | 0.284429 | 0.142215 | − | 0.989836i | \(-0.454578\pi\) | ||||
0.142215 | + | 0.989836i | \(0.454578\pi\) | |||||||
\(542\) | 15.8962 | − | 13.3385i | 0.682802 | − | 0.572939i | ||||
\(543\) | −2.11735 | − | 4.25874i | −0.0908641 | − | 0.182760i | ||||
\(544\) | −8.63005 | + | 48.9434i | −0.370010 | + | 2.09843i | ||||
\(545\) | 16.9178 | − | 6.15757i | 0.724678 | − | 0.263761i | ||||
\(546\) | 0.207045 | + | 1.83558i | 0.00886072 | + | 0.0785554i | ||||
\(547\) | 4.94068 | + | 28.0200i | 0.211248 | + | 1.19805i | 0.887300 | + | 0.461193i | \(0.152578\pi\) |
−0.676052 | + | 0.736854i | \(0.736310\pi\) | |||||||
\(548\) | −0.466229 | − | 0.807532i | −0.0199163 | − | 0.0344960i | ||||
\(549\) | 1.40521 | + | 28.0196i | 0.0599730 | + | 1.19585i | ||||
\(550\) | −5.76260 | + | 9.98112i | −0.245718 | + | 0.425596i | ||||
\(551\) | 6.14961 | + | 2.23828i | 0.261982 | + | 0.0953538i | ||||
\(552\) | 8.15672 | − | 2.40615i | 0.347173 | − | 0.102413i | ||||
\(553\) | −10.7832 | − | 9.04814i | −0.458546 | − | 0.384766i | ||||
\(554\) | 26.6997 | + | 22.4037i | 1.13436 | + | 0.951841i | ||||
\(555\) | 5.95320 | − | 24.6745i | 0.252699 | − | 1.04738i | ||||
\(556\) | −9.98511 | − | 3.63428i | −0.423463 | − | 0.154128i | ||||
\(557\) | 18.2119 | − | 31.5439i | 0.771662 | − | 1.33656i | −0.164989 | − | 0.986295i | \(-0.552759\pi\) |
0.936651 | − | 0.350263i | \(-0.113908\pi\) | |||||||
\(558\) | 15.8853 | + | 37.6587i | 0.672476 | + | 1.59422i | ||||
\(559\) | 2.71482 | + | 4.70221i | 0.114825 | + | 0.198882i | ||||
\(560\) | 0.992448 | + | 5.62845i | 0.0419386 | + | 0.237845i | ||||
\(561\) | −12.1130 | + | 8.94207i | −0.511411 | + | 0.377534i | ||||
\(562\) | 9.67670 | − | 3.52203i | 0.408187 | − | 0.148568i | ||||
\(563\) | 6.35925 | − | 36.0651i | 0.268011 | − | 1.51996i | −0.492313 | − | 0.870418i | \(-0.663848\pi\) |
0.760323 | − | 0.649545i | \(-0.225041\pi\) | |||||||
\(564\) | 60.2760 | + | 3.75473i | 2.53808 | + | 0.158103i | ||||
\(565\) | −9.52055 | + | 7.98869i | −0.400533 | + | 0.336087i | ||||
\(566\) | 17.2968 | 0.727037 | ||||||||
\(567\) | 0.668216 | − | 8.97516i | 0.0280624 | − | 0.376921i | ||||
\(568\) | 13.5833 | 0.569941 | ||||||||
\(569\) | 7.06607 | − | 5.92913i | 0.296225 | − | 0.248562i | −0.482546 | − | 0.875871i | \(-0.660288\pi\) |
0.778771 | + | 0.627308i | \(0.215843\pi\) | |||||||
\(570\) | −10.8507 | − | 0.675912i | −0.454484 | − | 0.0283108i | ||||
\(571\) | 7.68366 | − | 43.5762i | 0.321551 | − | 1.82361i | −0.211327 | − | 0.977416i | \(-0.567778\pi\) |
0.532878 | − | 0.846192i | \(-0.321111\pi\) | |||||||
\(572\) | −1.65565 | + | 0.602609i | −0.0692264 | + | 0.0251963i | ||||
\(573\) | 33.7203 | − | 24.8930i | 1.40868 | − | 1.03992i | ||||
\(574\) | −1.57128 | − | 8.91115i | −0.0655838 | − | 0.371944i | ||||
\(575\) | 5.98443 | + | 10.3653i | 0.249568 | + | 0.432264i | ||||
\(576\) | 22.6132 | − | 29.8686i | 0.942217 | − | 1.24453i | ||||
\(577\) | −13.8532 | + | 23.9945i | −0.576718 | + | 0.998904i | 0.419135 | + | 0.907924i | \(0.362333\pi\) |
−0.995853 | + | 0.0909804i | \(0.971000\pi\) | |||||||
\(578\) | 56.0127 | + | 20.3869i | 2.32982 | + | 0.847985i | ||||
\(579\) | −0.922101 | + | 3.82188i | −0.0383212 | + | 0.158832i | ||||
\(580\) | 43.5153 | + | 36.5136i | 1.80687 | + | 1.51615i | ||||
\(581\) | 11.7964 | + | 9.89839i | 0.489399 | + | 0.410655i | ||||
\(582\) | −2.11998 | + | 0.625372i | −0.0878759 | + | 0.0259225i | ||||
\(583\) | 14.6109 | + | 5.31793i | 0.605122 | + | 0.220246i | ||||
\(584\) | −6.04590 | + | 10.4718i | −0.250181 | + | 0.433327i | ||||
\(585\) | 3.92503 | + | 2.01105i | 0.162280 | + | 0.0831465i | ||||
\(586\) | −3.52686 | − | 6.10870i | −0.145693 | − | 0.252348i | ||||
\(587\) | 1.35436 | + | 7.68095i | 0.0559003 | + | 0.317027i | 0.999917 | − | 0.0128707i | \(-0.00409699\pi\) |
−0.944017 | + | 0.329897i | \(0.892986\pi\) | |||||||
\(588\) | −0.535934 | − | 4.75136i | −0.0221015 | − | 0.195943i | ||||
\(589\) | 5.61244 | − | 2.04276i | 0.231257 | − | 0.0841705i | ||||
\(590\) | −5.51210 | + | 31.2606i | −0.226929 | + | 1.28698i | ||||
\(591\) | 1.86035 | + | 3.74183i | 0.0765246 | + | 0.153918i | ||||
\(592\) | 7.09311 | − | 5.95183i | 0.291525 | − | 0.244619i | ||||
\(593\) | −42.3027 | −1.73716 | −0.868581 | − | 0.495547i | \(-0.834968\pi\) | ||||
−0.868581 | + | 0.495547i | \(0.834968\pi\) | |||||||
\(594\) | 14.6087 | − | 2.39399i | 0.599404 | − | 0.0982266i | ||||
\(595\) | 20.0222 | 0.820828 | ||||||||
\(596\) | −10.4596 | + | 8.77667i | −0.428443 | + | 0.359506i | ||||
\(597\) | 3.10561 | − | 4.68062i | 0.127104 | − | 0.191565i | ||||
\(598\) | −0.547920 | + | 3.10741i | −0.0224061 | + | 0.127071i | ||||
\(599\) | −28.2776 | + | 10.2922i | −1.15539 | + | 0.420528i | −0.847448 | − | 0.530878i | \(-0.821862\pi\) |
−0.307942 | + | 0.951405i | \(0.599640\pi\) | |||||||
\(600\) | −10.6584 | − | 4.64869i | −0.435129 | − | 0.189782i | ||||
\(601\) | 7.80111 | + | 44.2423i | 0.318214 | + | 1.80468i | 0.553605 | + | 0.832779i | \(0.313252\pi\) |
−0.235391 | + | 0.971901i | \(0.575637\pi\) | |||||||
\(602\) | −12.1184 | − | 20.9897i | −0.493909 | − | 0.855476i | ||||
\(603\) | 12.9881 | + | 13.9910i | 0.528916 | + | 0.569758i | ||||
\(604\) | −13.3292 | + | 23.0869i | −0.542359 | + | 0.939394i | ||||
\(605\) | 26.2695 | + | 9.56133i | 1.06801 | + | 0.388723i | ||||
\(606\) | −44.6458 | − | 42.4628i | −1.81361 | − | 1.72494i | ||||
\(607\) | −6.51061 | − | 5.46305i | −0.264257 | − | 0.221738i | 0.501025 | − | 0.865433i | \(-0.332956\pi\) |
−0.765283 | + | 0.643694i | \(0.777401\pi\) | |||||||
\(608\) | −5.47006 | − | 4.58992i | −0.221840 | − | 0.186146i | ||||
\(609\) | 8.58675 | + | 8.16691i | 0.347953 | + | 0.330940i | ||||
\(610\) | 57.6655 | + | 20.9885i | 2.33481 | + | 0.849801i | ||||
\(611\) | −3.08687 | + | 5.34662i | −0.124881 | + | 0.216301i | ||||
\(612\) | −37.5105 | − | 40.4071i | −1.51627 | − | 1.63336i | ||||
\(613\) | 10.9296 | + | 18.9306i | 0.441441 | + | 0.764598i | 0.997797 | − | 0.0663463i | \(-0.0211342\pi\) |
−0.556356 | + | 0.830944i | \(0.687801\pi\) | |||||||
\(614\) | 4.14631 | + | 23.5149i | 0.167331 | + | 0.948984i | ||||
\(615\) | −19.8021 | − | 8.63672i | −0.798499 | − | 0.348266i | ||||
\(616\) | 2.03622 | − | 0.741123i | 0.0820416 | − | 0.0298607i | ||||
\(617\) | 6.08931 | − | 34.5342i | 0.245146 | − | 1.39029i | −0.575007 | − | 0.818149i | \(-0.695001\pi\) |
0.820153 | − | 0.572145i | \(-0.193888\pi\) | |||||||
\(618\) | 8.19432 | − | 12.3500i | 0.329624 | − | 0.496792i | ||||
\(619\) | 5.66310 | − | 4.75191i | 0.227619 | − | 0.190995i | −0.521844 | − | 0.853041i | \(-0.674756\pi\) |
0.749464 | + | 0.662045i | \(0.230311\pi\) | |||||||
\(620\) | 51.8431 | 2.08207 | ||||||||
\(621\) | 5.43248 | − | 14.3816i | 0.217998 | − | 0.577115i | ||||
\(622\) | −70.7461 | −2.83666 | ||||||||
\(623\) | 8.48030 | − | 7.11582i | 0.339756 | − | 0.285089i | ||||
\(624\) | 0.716236 | + | 1.44060i | 0.0286724 | + | 0.0576703i | ||||
\(625\) | −5.01178 | + | 28.4232i | −0.200471 | + | 1.13693i | ||||
\(626\) | −3.07958 | + | 1.12088i | −0.123085 | + | 0.0447992i | ||||
\(627\) | −0.242468 | − | 2.14962i | −0.00968323 | − | 0.0858475i | ||||
\(628\) | −9.14848 | − | 51.8836i | −0.365064 | − | 2.07038i | ||||
\(629\) | −16.2191 | − | 28.0923i | −0.646697 | − | 1.12011i | ||||
\(630\) | −17.5205 | − | 8.97689i | −0.698035 | − | 0.357648i | ||||
\(631\) | −12.1993 | + | 21.1297i | −0.485645 | + | 0.841162i | −0.999864 | − | 0.0164972i | \(-0.994749\pi\) |
0.514219 | + | 0.857659i | \(0.328082\pi\) | |||||||
\(632\) | 21.9514 | + | 7.98965i | 0.873179 | + | 0.317811i | ||||
\(633\) | −11.2135 | + | 3.30786i | −0.445696 | + | 0.131476i | ||||
\(634\) | −1.41983 | − | 1.19138i | −0.0563886 | − | 0.0473156i | ||||
\(635\) | 13.7464 | + | 11.5346i | 0.545509 | + | 0.457736i | ||||
\(636\) | −13.3541 | + | 55.3495i | −0.529526 | + | 2.19475i | ||||
\(637\) | 0.459317 | + | 0.167178i | 0.0181988 | + | 0.00662382i | ||||
\(638\) | −9.74598 | + | 16.8805i | −0.385847 | + | 0.668307i | ||||
\(639\) | 14.8217 | − | 19.5772i | 0.586338 | − | 0.774463i | ||||
\(640\) | −18.5208 | − | 32.0790i | −0.732099 | − | 1.26803i | ||||
\(641\) | −0.931687 | − | 5.28386i | −0.0367994 | − | 0.208700i | 0.960864 | − | 0.277021i | \(-0.0893470\pi\) |
−0.997663 | + | 0.0683206i | \(0.978236\pi\) | |||||||
\(642\) | −9.01318 | + | 6.65372i | −0.355722 | + | 0.262601i | ||||
\(643\) | −2.12364 | + | 0.772940i | −0.0837480 | + | 0.0304818i | −0.383554 | − | 0.923518i | \(-0.625300\pi\) |
0.299806 | + | 0.954000i | \(0.403078\pi\) | |||||||
\(644\) | 1.41828 | − | 8.04347i | 0.0558881 | − | 0.316957i | ||||
\(645\) | −57.7535 | − | 3.59760i | −2.27404 | − | 0.141655i | ||||
\(646\) | −10.6432 | + | 8.93071i | −0.418752 | + | 0.351374i | ||||
\(647\) | 1.12768 | 0.0443338 | 0.0221669 | − | 0.999754i | \(-0.492943\pi\) | ||||
0.0221669 | + | 0.999754i | \(0.492943\pi\) | |||||||
\(648\) | 4.05218 | + | 14.3755i | 0.159185 | + | 0.564725i | ||||
\(649\) | −6.31620 | −0.247933 | ||||||||
\(650\) | 3.30502 | − | 2.77324i | 0.129634 | − | 0.108776i | ||||
\(651\) | 10.7943 | + | 0.672401i | 0.423061 | + | 0.0263535i | ||||
\(652\) | −8.86940 | + | 50.3009i | −0.347352 | + | 1.96993i | ||||
\(653\) | −11.9808 | + | 4.36067i | −0.468846 | + | 0.170646i | −0.565630 | − | 0.824659i | \(-0.691367\pi\) |
0.0967834 | + | 0.995305i | \(0.469145\pi\) | |||||||
\(654\) | −18.2001 | + | 13.4357i | −0.711681 | + | 0.525378i | ||||
\(655\) | 2.33018 | + | 13.2151i | 0.0910475 | + | 0.516356i | ||||
\(656\) | −3.94044 | − | 6.82505i | −0.153848 | − | 0.266473i | ||||
\(657\) | 8.49564 | + | 20.1404i | 0.331447 | + | 0.785751i | ||||
\(658\) | 13.7792 | − | 23.8662i | 0.537167 | − | 0.930401i | ||||
\(659\) | −5.79709 | − | 2.10997i | −0.225822 | − | 0.0821926i | 0.226631 | − | 0.973981i | \(-0.427229\pi\) |
−0.452453 | + | 0.891788i | \(0.649451\pi\) | |||||||
\(660\) | 4.40401 | − | 18.2535i | 0.171426 | − | 0.710516i | ||||
\(661\) | −11.3667 | − | 9.53778i | −0.442113 | − | 0.370977i | 0.394386 | − | 0.918945i | \(-0.370957\pi\) |
−0.836499 | + | 0.547968i | \(0.815402\pi\) | |||||||
\(662\) | −11.7374 | − | 9.84884i | −0.456187 | − | 0.382786i | ||||
\(663\) | 5.40586 | − | 1.59467i | 0.209946 | − | 0.0619320i | ||||
\(664\) | −24.0142 | − | 8.74044i | −0.931930 | − | 0.339195i | ||||
\(665\) | −1.43839 | + | 2.49136i | −0.0557783 | + | 0.0966108i | ||||
\(666\) | 1.59752 | + | 31.8542i | 0.0619028 | + | 1.23432i | ||||
\(667\) | 10.1212 | + | 17.5303i | 0.391893 | + | 0.678778i | ||||
\(668\) | −5.70572 | − | 32.3587i | −0.220761 | − | 1.25200i | ||||
\(669\) | −0.254379 | − | 2.25522i | −0.00983485 | − | 0.0871917i | ||||
\(670\) | 39.2393 | − | 14.2820i | 1.51595 | − | 0.551760i | ||||
\(671\) | −2.12036 | + | 12.0252i | −0.0818557 | + | 0.464227i | ||||
\(672\) | −5.75643 | − | 11.5782i | −0.222059 | − | 0.446639i | ||||
\(673\) | −10.1794 | + | 8.54150i | −0.392386 | + | 0.329251i | −0.817542 | − | 0.575869i | \(-0.804664\pi\) |
0.425156 | + | 0.905120i | \(0.360219\pi\) | |||||||
\(674\) | −44.5199 | −1.71484 | ||||||||
\(675\) | −18.3302 | + | 10.2892i | −0.705532 | + | 0.396032i | ||||
\(676\) | −35.2282 | −1.35493 | ||||||||
\(677\) | 17.6877 | − | 14.8417i | 0.679793 | − | 0.570414i | −0.236153 | − | 0.971716i | \(-0.575887\pi\) |
0.915946 | + | 0.401302i | \(0.131442\pi\) | |||||||
\(678\) | 8.63400 | − | 13.0127i | 0.331587 | − | 0.499750i | ||||
\(679\) | −0.101561 | + | 0.575984i | −0.00389757 | + | 0.0221042i | ||||
\(680\) | −31.2235 | + | 11.3644i | −1.19736 | + | 0.435805i | ||||
\(681\) | −28.4598 | − | 12.4128i | −1.09058 | − | 0.475659i | ||||
\(682\) | 3.08908 | + | 17.5191i | 0.118287 | + | 0.670839i | ||||
\(683\) | 19.0100 | + | 32.9263i | 0.727398 | + | 1.25989i | 0.957980 | + | 0.286837i | \(0.0926037\pi\) |
−0.230582 | + | 0.973053i | \(0.574063\pi\) | |||||||
\(684\) | 7.72261 | − | 1.76461i | 0.295281 | − | 0.0674714i | ||||
\(685\) | −0.507938 | + | 0.879774i | −0.0194073 | + | 0.0336144i | ||||
\(686\) | −2.05030 | − | 0.746247i | −0.0782806 | − | 0.0284918i | ||||
\(687\) | 27.8982 | + | 26.5342i | 1.06438 | + | 1.01234i | ||||
\(688\) | −16.1704 | − | 13.5686i | −0.616492 | − | 0.517298i | ||||
\(689\) | −4.45879 | − | 3.74137i | −0.169866 | − | 0.142535i | ||||
\(690\) | −24.3665 | − | 23.1751i | −0.927616 | − | 0.882261i | ||||
\(691\) | 31.3872 | + | 11.4240i | 1.19403 | + | 0.434590i | 0.861136 | − | 0.508375i | \(-0.169754\pi\) |
0.332891 | + | 0.942965i | \(0.391976\pi\) | |||||||
\(692\) | 17.2002 | − | 29.7917i | 0.653854 | − | 1.13251i | ||||
\(693\) | 1.15371 | − | 3.74345i | 0.0438257 | − | 0.142202i | ||||
\(694\) | 3.71461 | + | 6.43389i | 0.141005 | + | 0.244227i | ||||
\(695\) | 2.01024 | + | 11.4007i | 0.0762529 | + | 0.432452i | ||||
\(696\) | −18.0260 | − | 7.86208i | −0.683275 | − | 0.298011i | ||||
\(697\) | −25.9438 | + | 9.44278i | −0.982693 | + | 0.357671i | ||||
\(698\) | 3.99415 | − | 22.6520i | 0.151181 | − | 0.857389i | ||||
\(699\) | −4.12018 | + | 6.20971i | −0.155839 | + | 0.234873i | ||||
\(700\) | −8.55500 | + | 7.17850i | −0.323349 | + | 0.271322i | ||||
\(701\) | −43.0170 | −1.62473 | −0.812364 | − | 0.583151i | \(-0.801820\pi\) | ||||
−0.812364 | + | 0.583151i | \(0.801820\pi\) | |||||||
\(702\) | −5.44541 | − | 1.02828i | −0.205524 | − | 0.0388098i | ||||
\(703\) | 4.66070 | 0.175782 | ||||||||
\(704\) | 12.4909 | − | 10.4811i | 0.470767 | − | 0.395020i | ||||
\(705\) | −29.2916 | − | 58.9157i | −1.10318 | − | 2.21890i | ||||
\(706\) | 4.53740 | − | 25.7329i | 0.170767 | − | 0.968470i | ||||
\(707\) | −15.3206 | + | 5.57626i | −0.576192 | + | 0.209717i | ||||
\(708\) | −2.59246 | − | 22.9837i | −0.0974307 | − | 0.863780i | ||||
\(709\) | −5.11111 | − | 28.9865i | −0.191952 | − | 1.08861i | −0.916693 | − | 0.399591i | \(-0.869152\pi\) |
0.724742 | − | 0.689021i | \(-0.241959\pi\) | |||||||
\(710\) | −26.8556 | − | 46.5153i | −1.00787 | − | 1.74569i | ||||
\(711\) | 35.4681 | − | 22.9199i | 1.33016 | − | 0.859564i | ||||
\(712\) | −9.18569 | + | 15.9101i | −0.344248 | + | 0.596255i | ||||
\(713\) | 17.3600 | + | 6.31852i | 0.650137 | + | 0.236630i | ||||
\(714\) | −24.1307 | + | 7.11830i | −0.903067 | + | 0.266396i | ||||
\(715\) | 1.47045 | + | 1.23385i | 0.0549916 | + | 0.0461434i | ||||
\(716\) | 30.2487 | + | 25.3817i | 1.13045 | + | 0.948557i | ||||
\(717\) | −4.69344 | + | 19.4531i | −0.175280 | + | 0.726489i | ||||
\(718\) | −2.49611 | − | 0.908510i | −0.0931540 | − | 0.0339053i | ||||
\(719\) | 6.08791 | − | 10.5446i | 0.227041 | − | 0.393246i | −0.729889 | − | 0.683566i | \(-0.760428\pi\) |
0.956930 | + | 0.290320i | \(0.0937617\pi\) | |||||||
\(720\) | −17.0133 | − | 2.12785i | −0.634048 | − | 0.0793003i | ||||
\(721\) | −1.96094 | − | 3.39645i | −0.0730293 | − | 0.126490i | ||||
\(722\) | 6.85206 | + | 38.8600i | 0.255007 | + | 1.44622i | ||||
\(723\) | 0.926364 | − | 0.683862i | 0.0344519 | − | 0.0254331i | ||||
\(724\) | 7.12319 | − | 2.59263i | 0.264731 | − | 0.0963543i | ||||
\(725\) | 4.80623 | − | 27.2575i | 0.178499 | − | 1.01232i | ||||
\(726\) | −35.0592 | − | 2.18392i | −1.30117 | − | 0.0810529i | ||||
\(727\) | −21.6044 | + | 18.1282i | −0.801263 | + | 0.672339i | −0.948505 | − | 0.316761i | \(-0.897405\pi\) |
0.147243 | + | 0.989100i | \(0.452960\pi\) | |||||||
\(728\) | −0.811168 | −0.0300639 | ||||||||
\(729\) | 25.1408 | + | 9.84591i | 0.931139 | + | 0.364663i | ||||
\(730\) | 47.8136 | 1.76966 | ||||||||
\(731\) | −56.6494 | + | 47.5345i | −2.09525 | + | 1.75813i | ||||
\(732\) | −44.6281 | − | 2.77998i | −1.64950 | − | 0.102751i | ||||
\(733\) | −0.308827 | + | 1.75145i | −0.0114068 | + | 0.0646912i | −0.989980 | − | 0.141209i | \(-0.954901\pi\) |
0.978573 | + | 0.205900i | \(0.0660122\pi\) | |||||||
\(734\) | −25.8147 | + | 9.39579i | −0.952839 | + | 0.346805i | ||||
\(735\) | −4.19097 | + | 3.09386i | −0.154586 | + | 0.114119i | ||||
\(736\) | −3.83536 | − | 21.7514i | −0.141373 | − | 0.801768i | ||||
\(737\) | 4.15447 | + | 7.19575i | 0.153032 | + | 0.265059i | ||||
\(738\) | 26.9360 | + | 3.36888i | 0.991528 | + | 0.124010i | ||||
\(739\) | −14.8902 | + | 25.7906i | −0.547746 | + | 0.948724i | 0.450682 | + | 0.892684i | \(0.351181\pi\) |
−0.998429 | + | 0.0560398i | \(0.982153\pi\) | |||||||
\(740\) | 38.0157 | + | 13.8366i | 1.39748 | + | 0.508643i | ||||
\(741\) | −0.189930 | + | 0.787214i | −0.00697727 | + | 0.0289190i | ||||
\(742\) | 19.9031 | + | 16.7007i | 0.730667 | + | 0.613102i | ||||
\(743\) | 12.5194 | + | 10.5050i | 0.459293 | + | 0.385392i | 0.842871 | − | 0.538116i | \(-0.180864\pi\) |
−0.383578 | + | 0.923508i | \(0.625308\pi\) | |||||||
\(744\) | −17.2147 | + | 5.07817i | −0.631123 | + | 0.186175i | ||||
\(745\) | 13.9785 | + | 5.08775i | 0.512132 | + | 0.186401i | ||||
\(746\) | 31.1544 | − | 53.9610i | 1.14064 | − | 1.97565i | ||||
\(747\) | −38.8010 | + | 25.0737i | −1.41965 | + | 0.917399i | ||||
\(748\) | −11.9984 | − | 20.7819i | −0.438705 | − | 0.759860i | ||||
\(749\) | 0.514774 | + | 2.91943i | 0.0188094 | + | 0.106674i | ||||
\(750\) | −1.21609 | − | 10.7814i | −0.0444054 | − | 0.393680i | ||||
\(751\) | 46.7453 | − | 17.0139i | 1.70576 | − | 0.620846i | 0.709300 | − | 0.704907i | \(-0.249011\pi\) |
0.996461 | + | 0.0840611i | \(0.0267891\pi\) | |||||||
\(752\) | 4.16788 | − | 23.6372i | 0.151987 | − | 0.861961i | ||||
\(753\) | −3.04068 | − | 6.11588i | −0.110808 | − | 0.222875i | ||||
\(754\) | 5.58961 | − | 4.69024i | 0.203562 | − | 0.170808i | ||||
\(755\) | 29.0434 | 1.05700 | ||||||||
\(756\) | 14.0954 | + | 2.66167i | 0.512644 | + | 0.0968042i | ||||
\(757\) | −27.0286 | −0.982373 | −0.491186 | − | 0.871055i | \(-0.663437\pi\) | ||||
−0.491186 | + | 0.871055i | \(0.663437\pi\) | |||||||
\(758\) | 10.7264 | − | 9.00049i | 0.389599 | − | 0.326913i | ||||
\(759\) | 3.69940 | − | 5.57554i | 0.134280 | − | 0.202379i | ||||
\(760\) | 0.829011 | − | 4.70156i | 0.0300714 | − | 0.170543i | ||||
\(761\) | −36.4845 | + | 13.2793i | −1.32256 | + | 0.481373i | −0.904278 | − | 0.426944i | \(-0.859590\pi\) |
−0.418283 | + | 0.908317i | \(0.637368\pi\) | |||||||
\(762\) | −20.6679 | − | 9.01433i | −0.748719 | − | 0.326555i | ||||
\(763\) | 1.03947 | + | 5.89515i | 0.0376315 | + | 0.213419i | ||||
\(764\) | 33.4013 | + | 57.8527i | 1.20842 | + | 2.09304i | ||||
\(765\) | −17.6910 | + | 57.4022i | −0.639619 | + | 2.07538i | ||||
\(766\) | 13.8565 | − | 24.0001i | 0.500655 | − | 0.867160i | ||||
\(767\) | 2.22185 | + | 0.808686i | 0.0802262 | + | 0.0291999i | ||||
\(768\) | 2.38070 | + | 2.26429i | 0.0859059 | + | 0.0817056i | ||||
\(769\) | 34.5222 | + | 28.9676i | 1.24490 | + | 1.04460i | 0.997125 | + | 0.0757805i | \(0.0241448\pi\) |
0.247778 | + | 0.968817i | \(0.420300\pi\) | |||||||
\(770\) | −6.56377 | − | 5.50766i | −0.236542 | − | 0.198482i | ||||
\(771\) | −3.99826 | − | 3.80277i | −0.143994 | − | 0.136953i | ||||
\(772\) | −5.88831 | − | 2.14317i | −0.211925 | − | 0.0771343i | ||||
\(773\) | −5.10255 | + | 8.83788i | −0.183526 | + | 0.317877i | −0.943079 | − | 0.332569i | \(-0.892085\pi\) |
0.759553 | + | 0.650446i | \(0.225418\pi\) | |||||||
\(774\) | 70.8835 | − | 16.1968i | 2.54785 | − | 0.582181i | ||||
\(775\) | −12.6301 | − | 21.8760i | −0.453687 | − | 0.785810i | ||||
\(776\) | −0.168544 | − | 0.955861i | −0.00605038 | − | 0.0343134i | ||||
\(777\) | 7.73580 | + | 3.37398i | 0.277520 | + | 0.121041i | ||||
\(778\) | 57.9543 | − | 21.0936i | 2.07776 | − | 0.756243i | ||||
\(779\) | 0.688833 | − | 3.90656i | 0.0246800 | − | 0.139967i | ||||
\(780\) | −3.88625 | + | 5.85716i | −0.139150 | + | 0.209720i | ||||
\(781\) | 8.18706 | − | 6.86976i | 0.292956 | − | 0.245819i | ||||
\(782\) | −42.9751 | −1.53679 | ||||||||
\(783\) | −31.0010 | + | 17.4016i | −1.10788 | + | 0.621883i | ||||
\(784\) | −1.90030 | −0.0678680 | ||||||||
\(785\) | −43.9687 | + | 36.8942i | −1.56931 | + | 1.31681i | ||||
\(786\) | −7.50657 | − | 15.0984i | −0.267750 | − | 0.538541i | ||||
\(787\) | 4.61086 | − | 26.1495i | 0.164359 | − | 0.932128i | −0.785363 | − | 0.619035i | \(-0.787524\pi\) |
0.949722 | − | 0.313093i | \(-0.101365\pi\) | |||||||
\(788\) | −6.25860 | + | 2.27794i | −0.222953 | + | 0.0811484i | ||||
\(789\) | −3.53106 | − | 31.3049i | −0.125709 | − | 1.11448i | ||||
\(790\) | −16.0401 | − | 90.9679i | −0.570681 | − | 3.23649i | ||||
\(791\) | −2.06616 | − | 3.57869i | −0.0734642 | − | 0.127244i | ||||
\(792\) | 0.325608 | + | 6.49254i | 0.0115700 | + | 0.230702i | ||||
\(793\) | 2.28550 | − | 3.95861i | 0.0811607 | − | 0.140574i | ||||
\(794\) | −69.5857 | − | 25.3271i | −2.46950 | − | 0.898826i | ||||
\(795\) | 59.4967 | − | 17.5509i | 2.11013 | − | 0.622467i | ||||
\(796\) | 6.85830 | + | 5.75480i | 0.243086 | + | 0.203973i | ||||
\(797\) | 6.77931 | + | 5.68852i | 0.240136 | + | 0.201498i | 0.754911 | − | 0.655828i | \(-0.227680\pi\) |
−0.514775 | + | 0.857325i | \(0.672125\pi\) | |||||||
\(798\) | 0.847811 | − | 3.51396i | 0.0300122 | − | 0.124393i | ||||
\(799\) | −79.0140 | − | 28.7588i | −2.79532 | − | 1.01741i | ||||
\(800\) | −15.1001 | + | 26.1541i | −0.533869 | + | 0.924689i | ||||
\(801\) | 12.9076 | + | 30.5998i | 0.456069 | + | 1.08119i | ||||
\(802\) | −28.5878 | − | 49.5155i | −1.00947 | − | 1.74845i | ||||
\(803\) | 1.65208 | + | 9.36942i | 0.0583007 | + | 0.330640i | ||||
\(804\) | −24.4790 | + | 18.0709i | −0.863309 | + | 0.637313i | ||||
\(805\) | −8.36160 | + | 3.04337i | −0.294708 | + | 0.107265i | ||||
\(806\) | 1.15638 | − | 6.55817i | 0.0407318 | − | 0.231002i | ||||
\(807\) | 0.572464 | + | 0.0356601i | 0.0201517 | + | 0.00125529i | ||||
\(808\) | 20.7267 | − | 17.3917i | 0.729162 | − | 0.611839i | ||||
\(809\) | −40.7911 | −1.43414 | −0.717070 | − | 0.697001i | \(-0.754517\pi\) | ||||
−0.717070 | + | 0.697001i | \(0.754517\pi\) | |||||||
\(810\) | 41.2168 | − | 42.2985i | 1.44821 | − | 1.48622i | ||||
\(811\) | 42.0294 | 1.47585 | 0.737927 | − | 0.674881i | \(-0.235805\pi\) | ||||
0.737927 | + | 0.674881i | \(0.235805\pi\) | |||||||
\(812\) | −14.4686 | + | 12.1406i | −0.507749 | + | 0.426052i | ||||
\(813\) | 16.4410 | + | 1.02415i | 0.576612 | + | 0.0359185i | ||||
\(814\) | −2.41055 | + | 13.6709i | −0.0844896 | + | 0.479164i | ||||
\(815\) | 52.2903 | − | 19.0321i | 1.83165 | − | 0.666666i | ||||
\(816\) | −17.6287 | + | 13.0139i | −0.617128 | + | 0.455577i | ||||
\(817\) | −1.84504 | − | 10.4638i | −0.0645499 | − | 0.366081i | ||||
\(818\) | 19.9172 | + | 34.4977i | 0.696390 | + | 1.20618i | ||||
\(819\) | −0.885126 | + | 1.16912i | −0.0309288 | + | 0.0408523i | ||||
\(820\) | 17.2163 | − | 29.8194i | 0.601218 | − | 1.04134i | ||||
\(821\) | 28.0372 | + | 10.2047i | 0.978506 | + | 0.356147i | 0.781259 | − | 0.624207i | \(-0.214578\pi\) |
0.197247 | + | 0.980354i | \(0.436800\pi\) | |||||||
\(822\) | 0.299387 | − | 1.24088i | 0.0104423 | − | 0.0432808i | ||||
\(823\) | 24.2178 | + | 20.3212i | 0.844181 | + | 0.708352i | 0.958500 | − | 0.285092i | \(-0.0920242\pi\) |
−0.114319 | + | 0.993444i | \(0.536469\pi\) | |||||||
\(824\) | 4.98578 | + | 4.18356i | 0.173688 | + | 0.145741i | ||||
\(825\) | −8.77526 | + | 2.58861i | −0.305515 | + | 0.0901239i | ||||
\(826\) | −9.91786 | − | 3.60981i | −0.345087 | − | 0.125601i | ||||
\(827\) | −11.6498 | + | 20.1781i | −0.405105 | + | 0.701662i | −0.994334 | − | 0.106304i | \(-0.966098\pi\) |
0.589229 | + | 0.807966i | \(0.299432\pi\) | |||||||
\(828\) | 21.8069 | + | 11.1731i | 0.757844 | + | 0.388292i | ||||
\(829\) | 10.7777 | + | 18.6675i | 0.374324 | + | 0.648348i | 0.990226 | − | 0.139475i | \(-0.0445414\pi\) |
−0.615901 | + | 0.787823i | \(0.711208\pi\) | |||||||
\(830\) | 17.5474 | + | 99.5162i | 0.609079 | + | 3.45426i | ||||
\(831\) | 3.10120 | + | 27.4939i | 0.107579 | + | 0.953753i | ||||
\(832\) | −5.73583 | + | 2.08767i | −0.198854 | + | 0.0723770i | ||||
\(833\) | −1.15602 | + | 6.55614i | −0.0400538 | + | 0.227157i | ||||
\(834\) | −6.47591 | − | 13.0254i | −0.224243 | − | 0.451031i | ||||
\(835\) | −27.4224 | + | 23.0101i | −0.948991 | + | 0.796298i | ||||
\(836\) | 3.44785 | 0.119247 | ||||||||
\(837\) | −11.4652 | + | 30.3524i | −0.396296 | + | 1.04913i | ||||
\(838\) | 35.2659 | 1.21824 | ||||||||
\(839\) | 29.9089 | − | 25.0966i | 1.03257 | − | 0.866430i | 0.0414160 | − | 0.999142i | \(-0.486813\pi\) |
0.991155 | + | 0.132712i | \(0.0423687\pi\) | |||||||
\(840\) | 4.77954 | − | 7.20347i | 0.164910 | − | 0.248543i | ||||
\(841\) | 3.09272 | − | 17.5397i | 0.106645 | − | 0.604816i | ||||
\(842\) | −70.4783 | + | 25.6520i | −2.42884 | + | 0.884026i | ||||
\(843\) | 7.49301 | + | 3.26809i | 0.258073 | + | 0.112559i | ||||
\(844\) | −3.23572 | − | 18.3507i | −0.111378 | − | 0.631657i | ||||
\(845\) | 19.1899 | + | 33.2378i | 0.660151 | + | 1.14342i | ||||
\(846\) | 56.2479 | + | 60.5914i | 1.93384 | + | 2.08317i | ||||
\(847\) | −4.64753 | + | 8.04976i | −0.159691 | + | 0.276593i | ||||
\(848\) | 21.2640 | + | 7.73947i | 0.730210 | + | 0.265775i | ||||
\(849\) | 9.94930 | + | 9.46284i | 0.341459 | + | 0.324764i | ||||
\(850\) | 45.0137 | + | 37.7710i | 1.54396 | + | 1.29553i | ||||
\(851\) | 11.0434 | + | 9.26652i | 0.378563 | + | 0.317652i | ||||
\(852\) | 28.3584 | + | 26.9718i | 0.971541 | + | 0.924038i | ||||
\(853\) | −47.7632 | − | 17.3844i | −1.63538 | − | 0.595230i | −0.649158 | − | 0.760654i | \(-0.724878\pi\) |
−0.986223 | + | 0.165424i | \(0.947101\pi\) | |||||||
\(854\) | −10.2020 | + | 17.6704i | −0.349106 | + | 0.604669i | ||||
\(855\) | −5.87165 | − | 6.32505i | −0.200806 | − | 0.216312i | ||||
\(856\) | −2.45981 | − | 4.26051i | −0.0840745 | − | 0.145621i | ||||
\(857\) | −0.757307 | − | 4.29490i | −0.0258691 | − | 0.146711i | 0.969137 | − | 0.246521i | \(-0.0792875\pi\) |
−0.995006 | + | 0.0998103i | \(0.968176\pi\) | |||||||
\(858\) | −2.21084 | − | 0.964260i | −0.0754768 | − | 0.0329193i | ||||
\(859\) | −35.9792 | + | 13.0953i | −1.22759 | + | 0.446808i | −0.872773 | − | 0.488127i | \(-0.837680\pi\) |
−0.354821 | + | 0.934934i | \(0.615458\pi\) | |||||||
\(860\) | 16.0152 | − | 90.8266i | 0.546113 | − | 3.09716i | ||||
\(861\) | 3.97136 | − | 5.98543i | 0.135344 | − | 0.203983i | ||||
\(862\) | 32.5726 | − | 27.3317i | 1.10943 | − | 0.930920i | ||||
\(863\) | 51.6907 | 1.75957 | 0.879786 | − | 0.475369i | \(-0.157686\pi\) | ||||
0.879786 | + | 0.475369i | \(0.157686\pi\) | |||||||
\(864\) | 38.2802 | − | 6.27312i | 1.30232 | − | 0.213416i | ||||
\(865\) | −37.4779 | −1.27429 | ||||||||
\(866\) | −35.9299 | + | 30.1488i | −1.22095 | + | 1.02450i | ||||
\(867\) | 21.0657 | + | 42.3706i | 0.715429 | + | 1.43898i | ||||
\(868\) | −2.99328 | + | 16.9757i | −0.101599 | + | 0.576194i | ||||
\(869\) | 17.2716 | − | 6.28634i | 0.585898 | − | 0.213250i | ||||
\(870\) | 8.71613 | + | 77.2735i | 0.295504 | + | 2.61982i | ||||
\(871\) | −0.540117 | − | 3.06315i | −0.0183012 | − | 0.103791i | ||||
\(872\) | −4.96704 | − | 8.60316i | −0.168205 | − | 0.291340i | ||||
\(873\) | −1.56157 | − | 0.800092i | −0.0528511 | − | 0.0270790i | ||||
\(874\) | 3.08732 | − | 5.34739i | 0.104430 | − | 0.180878i | ||||
\(875\) | −2.69782 | − | 0.981927i | −0.0912030 | − | 0.0331952i | ||||
\(876\) | −33.4158 | + | 9.85732i | −1.12901 | + | 0.333048i | ||||
\(877\) | 4.96823 | + | 4.16884i | 0.167765 | + | 0.140772i | 0.722805 | − | 0.691052i | \(-0.242852\pi\) |
−0.555040 | + | 0.831824i | \(0.687297\pi\) | |||||||
\(878\) | −4.72588 | − | 3.96548i | −0.159491 | − | 0.133829i | ||||
\(879\) | 1.31330 | − | 5.44329i | 0.0442965 | − | 0.183598i | ||||
\(880\) | −7.01258 | − | 2.55237i | −0.236394 | − | 0.0860404i | ||||
\(881\) | −17.0060 | + | 29.4553i | −0.572947 | + | 0.992374i | 0.423314 | + | 0.905983i | \(0.360867\pi\) |
−0.996261 | + | 0.0863906i | \(0.972467\pi\) | |||||||
\(882\) | 3.95102 | − | 5.21870i | 0.133038 | − | 0.175723i | ||||
\(883\) | −15.1239 | − | 26.1953i | −0.508958 | − | 0.881542i | −0.999946 | − | 0.0103754i | \(-0.996697\pi\) |
0.490988 | − | 0.871166i | \(-0.336636\pi\) | |||||||
\(884\) | 1.55990 | + | 8.84662i | 0.0524650 | + | 0.297544i | ||||
\(885\) | −20.2729 | + | 14.9659i | −0.681467 | + | 0.503073i | ||||
\(886\) | −46.4150 | + | 16.8937i | −1.55934 | + | 0.567555i | ||||
\(887\) | −2.80357 | + | 15.8998i | −0.0941346 | + | 0.533864i | 0.900874 | + | 0.434080i | \(0.142926\pi\) |
−0.995009 | + | 0.0997843i | \(0.968185\pi\) | |||||||
\(888\) | −13.9786 | − | 0.870759i | −0.469091 | − | 0.0292208i | ||||
\(889\) | −4.57061 | + | 3.83520i | −0.153293 | + | 0.128628i | ||||
\(890\) | 72.6444 | 2.43505 | ||||||||
\(891\) | 9.71284 | + | 6.61520i | 0.325392 | + | 0.221618i | ||||
\(892\) | 3.61722 | 0.121114 | ||||||||
\(893\) | 9.25481 | − | 7.76571i | 0.309700 | − | 0.259869i | ||||
\(894\) | −18.6556 | − | 1.16210i | −0.623938 | − | 0.0388665i | ||||
\(895\) | 7.47024 | − | 42.3658i | 0.249702 | − | 1.41613i | ||||
\(896\) | 11.5734 | − | 4.21238i | 0.386641 | − | 0.140726i | ||||
\(897\) | −2.01519 | + | 1.48766i | −0.0672853 | + | 0.0496714i | ||||
\(898\) | 1.85271 | + | 10.5072i | 0.0618257 | + | 0.350631i | ||||
\(899\) | −21.3607 | − | 36.9978i | −0.712418 | − | 1.23394i | ||||
\(900\) | −13.0213 | − | 30.8693i | −0.434044 | − | 1.02898i | ||||
\(901\) | 39.6372 | − | 68.6537i | 1.32051 | − | 2.28719i | ||||
\(902\) | 11.1026 | + | 4.04100i | 0.369675 | + | 0.134551i | ||||
\(903\) | 4.51254 | − | 18.7033i | 0.150168 | − | 0.622408i | ||||
\(904\) | 5.25330 | + | 4.40804i | 0.174722 | + | 0.146609i | ||||
\(905\) | −6.32636 | − | 5.30845i | −0.210295 | − | 0.176459i | ||||
\(906\) | −35.0030 | + | 10.3255i | −1.16290 | + | 0.343043i | ||||
\(907\) | −6.75228 | − | 2.45763i | −0.224206 | − | 0.0816043i | 0.227475 | − | 0.973784i | \(-0.426953\pi\) |
−0.451681 | + | 0.892180i | \(0.649175\pi\) | |||||||
\(908\) | 24.7434 | − | 42.8568i | 0.821138 | − | 1.42225i | ||||
\(909\) | −2.44990 | − | 48.8503i | −0.0812579 | − | 1.62026i | ||||
\(910\) | 1.60377 | + | 2.77781i | 0.0531644 | + | 0.0920834i | ||||
\(911\) | −4.90328 | − | 27.8079i | −0.162453 | − | 0.921317i | −0.951652 | − | 0.307179i | \(-0.900615\pi\) |
0.789199 | − | 0.614138i | \(-0.210496\pi\) | |||||||
\(912\) | −0.352877 | − | 3.12846i | −0.0116849 | − | 0.103594i | ||||
\(913\) | −18.8946 | + | 6.87707i | −0.625320 | + | 0.227598i | ||||
\(914\) | 2.16568 | − | 12.2822i | 0.0716343 | − | 0.406258i | ||||
\(915\) | 21.6873 | + | 43.6209i | 0.716961 | + | 1.44206i | ||||
\(916\) | −47.0084 | + | 39.4447i | −1.55320 | + | 1.30329i | ||||
\(917\) | −4.46174 | −0.147340 | ||||||||
\(918\) | 0.913444 | − | 75.4705i | 0.0301481 | − | 2.49090i | ||||
\(919\) | 26.4360 | 0.872044 | 0.436022 | − | 0.899936i | \(-0.356387\pi\) | ||||
0.436022 | + | 0.899936i | \(0.356387\pi\) | |||||||
\(920\) | 11.3121 | − | 9.49195i | 0.372948 | − | 0.312940i | ||||
\(921\) | −10.4797 | + | 15.7944i | −0.345318 | + | 0.520444i | ||||
\(922\) | 2.66825 | − | 15.1324i | 0.0878741 | − | 0.498359i | ||||
\(923\) | −3.75952 | + | 1.36835i | −0.123746 | + | 0.0450399i | ||||
\(924\) | 5.72272 | + | 2.49597i | 0.188264 | + | 0.0821115i | ||||
\(925\) | −3.42289 | − | 19.4122i | −0.112544 | − | 0.638269i | ||||
\(926\) | −6.47021 | − | 11.2067i | −0.212624 | − | 0.368276i | ||||
\(927\) | 11.4700 | − | 2.62089i | 0.376725 | − | 0.0860812i | ||||
\(928\) | −25.5380 | + | 44.2331i | −0.838326 | + | 1.45202i | ||||
\(929\) | 12.5593 | + | 4.57122i | 0.412058 | + | 0.149977i | 0.539727 | − | 0.841840i | \(-0.318527\pi\) |
−0.127669 | + | 0.991817i | \(0.540750\pi\) | |||||||
\(930\) | 51.4254 | + | 48.9110i | 1.68631 | + | 1.60385i | ||||
\(931\) | −0.732733 | − | 0.614836i | −0.0240143 | − | 0.0201504i | ||||
\(932\) | −9.09882 | − | 7.63481i | −0.298042 | − | 0.250087i | ||||
\(933\) | −40.6940 | − | 38.7043i | −1.33226 | − | 1.26712i | ||||
\(934\) | −4.81168 | − | 1.75131i | −0.157443 | − | 0.0573046i | ||||
\(935\) | −13.0718 | + | 22.6410i | −0.427494 | + | 0.740440i | ||||
\(936\) | 0.716724 | − | 2.32556i | 0.0234268 | − | 0.0760134i | ||||
\(937\) | −4.54841 | − | 7.87807i | −0.148590 | − | 0.257365i | 0.782117 | − | 0.623132i | \(-0.214140\pi\) |
−0.930707 | + | 0.365767i | \(0.880807\pi\) | |||||||
\(938\) | 2.41097 | + | 13.6733i | 0.0787210 | + | 0.446449i | ||||
\(939\) | −2.38463 | − | 1.04006i | −0.0778194 | − | 0.0339410i | ||||
\(940\) | 98.5428 | − | 35.8666i | 3.21411 | − | 1.16984i | ||||
\(941\) | 2.14643 | − | 12.1730i | 0.0699717 | − | 0.396829i | −0.929627 | − | 0.368502i | \(-0.879871\pi\) |
0.999599 | − | 0.0283273i | \(-0.00901807\pi\) | |||||||
\(942\) | 39.8744 | − | 60.0966i | 1.29918 | − | 1.95805i | ||||
\(943\) | 9.39929 | − | 7.88694i | 0.306083 | − | 0.256834i | ||||
\(944\) | −9.19231 | −0.299184 | ||||||||
\(945\) | −5.16688 | − | 14.7489i | −0.168079 | − | 0.479781i | ||||
\(946\) | 31.6468 | 1.02893 | ||||||||
\(947\) | −25.4278 | + | 21.3364i | −0.826292 | + | 0.693341i | −0.954436 | − | 0.298415i | \(-0.903542\pi\) |
0.128145 | + | 0.991755i | \(0.459098\pi\) | |||||||
\(948\) | 29.9641 | + | 60.2684i | 0.973188 | + | 1.95743i | ||||
\(949\) | 0.618449 | − | 3.50740i | 0.0200757 | − | 0.113855i | ||||
\(950\) | −7.93362 | + | 2.88760i | −0.257401 | + | 0.0936862i | ||||
\(951\) | −0.164915 | − | 1.46206i | −0.00534772 | − | 0.0474107i | ||||
\(952\) | −1.91845 | − | 10.8801i | −0.0621774 | − | 0.352626i | ||||
\(953\) | −29.2625 | − | 50.6842i | −0.947906 | − | 1.64182i | −0.749826 | − | 0.661635i | \(-0.769863\pi\) |
−0.198080 | − | 0.980186i | \(-0.563471\pi\) | |||||||
\(954\) | −65.4656 | + | 42.3047i | −2.11953 | + | 1.36966i | ||||
\(955\) | 36.3894 | − | 63.0283i | 1.17753 | − | 2.03955i | ||||
\(956\) | −29.9711 | − | 10.9086i | −0.969335 | − | 0.352809i | ||||
\(957\) | −14.8411 | + | 4.37798i | −0.479746 | + | 0.141520i | ||||
\(958\) | −13.8908 | − | 11.6557i | −0.448790 | − | 0.376579i | ||||
\(959\) | −0.258750 | − | 0.217117i | −0.00835547 | − | 0.00701107i | ||||
\(960\) | 15.2572 | − | 63.2372i | 0.492424 | − | 2.04097i | ||||
\(961\) | −7.50774 | − | 2.73259i | −0.242185 | − | 0.0881482i | ||||
\(962\) | 2.59829 | − | 4.50036i | 0.0837721 | − | 0.145098i | ||||
\(963\) | −8.82465 | − | 1.10370i | −0.284370 | − | 0.0355662i | ||||
\(964\) | 0.917601 | + | 1.58933i | 0.0295539 | + | 0.0511889i | ||||
\(965\) | 1.18546 | + | 6.72307i | 0.0381613 | + | 0.216423i | ||||
\(966\) | 8.99540 | − | 6.64060i | 0.289422 | − | 0.213658i | ||||
\(967\) | 50.3389 | − | 18.3219i | 1.61879 | − | 0.589192i | 0.635639 | − | 0.771986i | \(-0.280737\pi\) |
0.983151 | + | 0.182794i | \(0.0585143\pi\) | |||||||
\(968\) | 2.67859 | − | 15.1911i | 0.0860932 | − | 0.488259i | ||||
\(969\) | −11.0080 | − | 0.685712i | −0.353627 | − | 0.0220283i | ||||
\(970\) | −2.94007 | + | 2.46701i | −0.0944000 | + | 0.0792110i | ||||
\(971\) | −7.25354 | −0.232777 | −0.116389 | − | 0.993204i | \(-0.537132\pi\) | ||||
−0.116389 | + | 0.993204i | \(0.537132\pi\) | |||||||
\(972\) | −20.0851 | + | 38.0587i | −0.644230 | + | 1.22073i | ||||
\(973\) | −3.84914 | −0.123398 | ||||||||
\(974\) | 27.6259 | − | 23.1809i | 0.885191 | − | 0.742764i | ||||
\(975\) | 3.41830 | + | 0.212933i | 0.109473 | + | 0.00681933i | ||||
\(976\) | −3.08588 | + | 17.5009i | −0.0987766 | + | 0.560190i | ||||
\(977\) | 41.0816 | − | 14.9525i | 1.31432 | − | 0.478373i | 0.412685 | − | 0.910874i | \(-0.364591\pi\) |
0.901633 | + | 0.432501i | \(0.142369\pi\) | |||||||
\(978\) | −56.2539 | + | 41.5278i | −1.79880 | + | 1.32791i | ||||
\(979\) | 2.51005 | + | 14.2352i | 0.0802215 | + | 0.454959i | ||||
\(980\) | −4.15133 | − | 7.19031i | −0.132609 | − | 0.229686i | ||||
\(981\) | −17.8194 | − | 2.22868i | −0.568931 | − | 0.0711561i | ||||
\(982\) | −35.2530 | + | 61.0600i | −1.12497 | + | 1.94850i | ||||
\(983\) | 21.3732 | + | 7.77920i | 0.681699 | + | 0.248118i | 0.659577 | − | 0.751637i | \(-0.270736\pi\) |
0.0221220 | + | 0.999755i | \(0.492958\pi\) | |||||||
\(984\) | −2.79584 | + | 11.5881i | −0.0891282 | + | 0.369414i | ||||
\(985\) | 5.55849 | + | 4.66413i | 0.177108 | + | 0.148611i | ||||
\(986\) | 76.1293 | + | 63.8800i | 2.42445 | + | 2.03435i | ||||
\(987\) | 20.9828 | − | 6.18972i | 0.667891 | − | 0.197021i | ||||
\(988\) | −1.21285 | − | 0.441441i | −0.0385859 | − | 0.0140441i | ||||
\(989\) | 16.4325 | − | 28.4620i | 0.522524 | − | 0.905037i | ||||
\(990\) | 21.5896 | − | 13.9515i | 0.686164 | − | 0.443407i | ||||
\(991\) | −16.4348 | − | 28.4660i | −0.522070 | − | 0.904251i | −0.999670 | − | 0.0256741i | \(-0.991827\pi\) |
0.477601 | − | 0.878577i | \(-0.341507\pi\) | |||||||
\(992\) | 8.09452 | + | 45.9063i | 0.257001 | + | 1.45753i | ||||
\(993\) | −1.36331 | − | 12.0865i | −0.0432634 | − | 0.383555i | ||||
\(994\) | 16.7817 | − | 6.10804i | 0.532284 | − | 0.193735i | ||||
\(995\) | 1.69373 | − | 9.60562i | 0.0536949 | − | 0.304519i | ||||
\(996\) | −32.7798 | − | 65.9318i | −1.03867 | − | 2.08913i | ||||
\(997\) | −4.72900 | + | 3.96810i | −0.149769 | + | 0.125671i | −0.714593 | − | 0.699540i | \(-0.753388\pi\) |
0.564825 | + | 0.825211i | \(0.308944\pi\) | |||||||
\(998\) | −11.5284 | −0.364924 | ||||||||
\(999\) | −16.5081 | + | 19.1969i | −0.522293 | + | 0.607363i |
(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 | 189.2.v.b.22.2 | ✓ | 54 | |
3.2 | odd | 2 | 567.2.v.a.442.8 | 54 | |||
27.4 | even | 9 | 5103.2.a.g.1.5 | 27 | |||
27.11 | odd | 18 | 567.2.v.a.127.8 | 54 | |||
27.16 | even | 9 | inner | 189.2.v.b.43.2 | yes | 54 | |
27.23 | odd | 18 | 5103.2.a.h.1.23 | 27 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.b.22.2 | ✓ | 54 | 1.1 | even | 1 | trivial | |
189.2.v.b.43.2 | yes | 54 | 27.16 | even | 9 | inner | |
567.2.v.a.127.8 | 54 | 27.11 | odd | 18 | |||
567.2.v.a.442.8 | 54 | 3.2 | odd | 2 | |||
5103.2.a.g.1.5 | 27 | 27.4 | even | 9 | |||
5103.2.a.h.1.23 | 27 | 27.23 | odd | 18 |