Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(17,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bi (of order \(6\), degree \(2\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.12 | ||
Character | \(\chi\) | \(=\) | 546.17 |
Dual form | 546.2.bi.e.257.12 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 0.841952 | + | 1.51364i | 0.486101 | + | 0.873903i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 2.84717 | − | 1.64381i | 1.27329 | − | 0.735135i | 0.297686 | − | 0.954664i | \(-0.403785\pi\) |
0.975606 | + | 0.219529i | \(0.0704519\pi\) | |||||||
\(6\) | −0.841952 | − | 1.51364i | −0.343725 | − | 0.617942i | ||||
\(7\) | 1.87202 | + | 1.86964i | 0.707555 | + | 0.706658i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −1.58223 | + | 2.54883i | −0.527411 | + | 0.849610i | ||||
\(10\) | −2.84717 | + | 1.64381i | −0.900353 | + | 0.519819i | ||||
\(11\) | −1.03510 | − | 1.79285i | −0.312095 | − | 0.540564i | 0.666721 | − | 0.745307i | \(-0.267697\pi\) |
−0.978816 | + | 0.204744i | \(0.934364\pi\) | |||||||
\(12\) | 0.841952 | + | 1.51364i | 0.243051 | + | 0.436951i | ||||
\(13\) | 3.53365 | + | 0.716460i | 0.980058 | + | 0.198710i | ||||
\(14\) | −1.87202 | − | 1.86964i | −0.500317 | − | 0.499683i | ||||
\(15\) | 4.88532 | + | 2.92558i | 1.26139 | + | 0.755383i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.12362 | 0.272518 | 0.136259 | − | 0.990673i | \(-0.456492\pi\) | ||||
0.136259 | + | 0.990673i | \(0.456492\pi\) | |||||||
\(18\) | 1.58223 | − | 2.54883i | 0.372936 | − | 0.600765i | ||||
\(19\) | −0.505430 | + | 0.875431i | −0.115954 | + | 0.200838i | −0.918161 | − | 0.396209i | \(-0.870326\pi\) |
0.802207 | + | 0.597046i | \(0.203659\pi\) | |||||||
\(20\) | 2.84717 | − | 1.64381i | 0.636646 | − | 0.367568i | ||||
\(21\) | −1.25382 | + | 4.40771i | −0.273607 | + | 0.961842i | ||||
\(22\) | 1.03510 | + | 1.79285i | 0.220684 | + | 0.382236i | ||||
\(23\) | − | 3.50085i | − | 0.729979i | −0.931012 | − | 0.364989i | \(-0.881073\pi\) | ||
0.931012 | − | 0.364989i | \(-0.118927\pi\) | |||||||
\(24\) | −0.841952 | − | 1.51364i | −0.171863 | − | 0.308971i | ||||
\(25\) | 2.90424 | − | 5.03029i | 0.580848 | − | 1.00606i | ||||
\(26\) | −3.53365 | − | 0.716460i | −0.693006 | − | 0.140509i | ||||
\(27\) | −5.19019 | − | 0.248945i | −0.998852 | − | 0.0479096i | ||||
\(28\) | 1.87202 | + | 1.86964i | 0.353778 | + | 0.353329i | ||||
\(29\) | −7.97573 | − | 4.60479i | −1.48106 | − | 0.855088i | −0.481287 | − | 0.876563i | \(-0.659831\pi\) |
−0.999769 | + | 0.0214746i | \(0.993164\pi\) | |||||||
\(30\) | −4.88532 | − | 2.92558i | −0.891934 | − | 0.534136i | ||||
\(31\) | −1.86666 | + | 3.23315i | −0.335262 | + | 0.580691i | −0.983535 | − | 0.180717i | \(-0.942158\pi\) |
0.648273 | + | 0.761408i | \(0.275492\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 1.84223 | − | 3.07626i | 0.320690 | − | 0.535509i | ||||
\(34\) | −1.12362 | −0.192699 | ||||||||
\(35\) | 8.40328 | + | 2.24594i | 1.42041 | + | 0.379633i | ||||
\(36\) | −1.58223 | + | 2.54883i | −0.263706 | + | 0.424805i | ||||
\(37\) | − | 6.97226i | − | 1.14623i | −0.819474 | − | 0.573116i | \(-0.805734\pi\) | ||
0.819474 | − | 0.573116i | \(-0.194266\pi\) | |||||||
\(38\) | 0.505430 | − | 0.875431i | 0.0819916 | − | 0.142014i | ||||
\(39\) | 1.89070 | + | 5.95191i | 0.302754 | + | 0.953069i | ||||
\(40\) | −2.84717 | + | 1.64381i | −0.450177 | + | 0.259910i | ||||
\(41\) | 8.52566 | + | 4.92229i | 1.33148 | + | 0.768733i | 0.985527 | − | 0.169517i | \(-0.0542209\pi\) |
0.345957 | + | 0.938250i | \(0.387554\pi\) | |||||||
\(42\) | 1.25382 | − | 4.40771i | 0.193469 | − | 0.680125i | ||||
\(43\) | 3.35600 | + | 5.81276i | 0.511785 | + | 0.886438i | 0.999907 | + | 0.0136621i | \(0.00434890\pi\) |
−0.488122 | + | 0.872776i | \(0.662318\pi\) | |||||||
\(44\) | −1.03510 | − | 1.79285i | −0.156047 | − | 0.270282i | ||||
\(45\) | −0.315084 | + | 9.85784i | −0.0469700 | + | 1.46952i | ||||
\(46\) | 3.50085i | 0.516173i | ||||||||
\(47\) | 1.05515 | − | 0.609193i | 0.153910 | − | 0.0888599i | −0.421067 | − | 0.907029i | \(-0.638344\pi\) |
0.574977 | + | 0.818170i | \(0.305011\pi\) | |||||||
\(48\) | 0.841952 | + | 1.51364i | 0.121525 | + | 0.218476i | ||||
\(49\) | 0.00888497 | + | 6.99999i | 0.00126928 | + | 0.999999i | ||||
\(50\) | −2.90424 | + | 5.03029i | −0.410722 | + | 0.711391i | ||||
\(51\) | 0.946035 | + | 1.70076i | 0.132471 | + | 0.238154i | ||||
\(52\) | 3.53365 | + | 0.716460i | 0.490029 | + | 0.0993551i | ||||
\(53\) | −5.05843 | − | 2.92049i | −0.694829 | − | 0.401160i | 0.110589 | − | 0.993866i | \(-0.464726\pi\) |
−0.805419 | + | 0.592706i | \(0.798059\pi\) | |||||||
\(54\) | 5.19019 | + | 0.248945i | 0.706295 | + | 0.0338772i | ||||
\(55\) | −5.89421 | − | 3.40302i | −0.794775 | − | 0.458863i | ||||
\(56\) | −1.87202 | − | 1.86964i | −0.250159 | − | 0.249841i | ||||
\(57\) | −1.75064 | − | 0.0279705i | −0.231878 | − | 0.00370479i | ||||
\(58\) | 7.97573 | + | 4.60479i | 1.04727 | + | 0.604639i | ||||
\(59\) | 9.80909i | 1.27703i | 0.769607 | + | 0.638517i | \(0.220452\pi\) | ||||
−0.769607 | + | 0.638517i | \(0.779548\pi\) | |||||||
\(60\) | 4.88532 | + | 2.92558i | 0.630693 | + | 0.377691i | ||||
\(61\) | −0.209571 | − | 0.120996i | −0.0268328 | − | 0.0154919i | 0.486524 | − | 0.873667i | \(-0.338265\pi\) |
−0.513356 | + | 0.858176i | \(0.671598\pi\) | |||||||
\(62\) | 1.86666 | − | 3.23315i | 0.237066 | − | 0.410611i | ||||
\(63\) | −7.72736 | + | 1.81324i | −0.973556 | + | 0.228447i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 11.2386 | − | 3.76878i | 1.39398 | − | 0.467459i | ||||
\(66\) | −1.84223 | + | 3.07626i | −0.226762 | + | 0.378662i | ||||
\(67\) | −10.2316 | + | 5.90721i | −1.24999 | + | 0.721680i | −0.971107 | − | 0.238645i | \(-0.923297\pi\) |
−0.278880 | + | 0.960326i | \(0.589963\pi\) | |||||||
\(68\) | 1.12362 | 0.136259 | ||||||||
\(69\) | 5.29905 | − | 2.94755i | 0.637930 | − | 0.354843i | ||||
\(70\) | −8.40328 | − | 2.24594i | −1.00438 | − | 0.268441i | ||||
\(71\) | 3.94585 | + | 6.83441i | 0.468286 | + | 0.811096i | 0.999343 | − | 0.0362405i | \(-0.0115383\pi\) |
−0.531057 | + | 0.847336i | \(0.678205\pi\) | |||||||
\(72\) | 1.58223 | − | 2.54883i | 0.186468 | − | 0.300383i | ||||
\(73\) | 0.878160 | − | 1.52102i | 0.102781 | − | 0.178022i | −0.810049 | − | 0.586363i | \(-0.800559\pi\) |
0.912829 | + | 0.408341i | \(0.133893\pi\) | |||||||
\(74\) | 6.97226i | 0.810509i | ||||||||
\(75\) | 10.0593 | + | 0.160721i | 1.16155 | + | 0.0185584i | ||||
\(76\) | −0.505430 | + | 0.875431i | −0.0579768 | + | 0.100419i | ||||
\(77\) | 1.41426 | − | 5.29150i | 0.161169 | − | 0.603023i | ||||
\(78\) | −1.89070 | − | 5.95191i | −0.214079 | − | 0.673921i | ||||
\(79\) | −2.48977 | − | 4.31240i | −0.280121 | − | 0.485183i | 0.691294 | − | 0.722574i | \(-0.257041\pi\) |
−0.971414 | + | 0.237391i | \(0.923708\pi\) | |||||||
\(80\) | 2.84717 | − | 1.64381i | 0.318323 | − | 0.183784i | ||||
\(81\) | −3.99307 | − | 8.06569i | −0.443675 | − | 0.896188i | ||||
\(82\) | −8.52566 | − | 4.92229i | −0.941502 | − | 0.543576i | ||||
\(83\) | 0.999900i | 0.109753i | 0.998493 | + | 0.0548767i | \(0.0174766\pi\) | ||||
−0.998493 | + | 0.0548767i | \(0.982523\pi\) | |||||||
\(84\) | −1.25382 | + | 4.40771i | −0.136803 | + | 0.480921i | ||||
\(85\) | 3.19914 | − | 1.84702i | 0.346995 | − | 0.200338i | ||||
\(86\) | −3.35600 | − | 5.81276i | −0.361887 | − | 0.626806i | ||||
\(87\) | 0.254829 | − | 15.9494i | 0.0273206 | − | 1.70996i | ||||
\(88\) | 1.03510 | + | 1.79285i | 0.110342 | + | 0.191118i | ||||
\(89\) | − | 7.61879i | − | 0.807590i | −0.914849 | − | 0.403795i | \(-0.867691\pi\) | ||
0.914849 | − | 0.403795i | \(-0.132309\pi\) | |||||||
\(90\) | 0.315084 | − | 9.85784i | 0.0332128 | − | 1.03911i | ||||
\(91\) | 5.27553 | + | 7.94788i | 0.553025 | + | 0.833164i | ||||
\(92\) | − | 3.50085i | − | 0.364989i | ||||||
\(93\) | −6.46548 | − | 0.103301i | −0.670439 | − | 0.0107118i | ||||
\(94\) | −1.05515 | + | 0.609193i | −0.108831 | + | 0.0628334i | ||||
\(95\) | 3.32333i | 0.340967i | ||||||||
\(96\) | −0.841952 | − | 1.51364i | −0.0859314 | − | 0.154486i | ||||
\(97\) | −3.21628 | − | 5.57077i | −0.326564 | − | 0.565626i | 0.655264 | − | 0.755400i | \(-0.272558\pi\) |
−0.981828 | + | 0.189775i | \(0.939224\pi\) | |||||||
\(98\) | −0.00888497 | − | 6.99999i | −0.000897518 | − | 0.707106i | ||||
\(99\) | 6.20743 | + | 0.198407i | 0.623870 | + | 0.0199407i | ||||
\(100\) | 2.90424 | − | 5.03029i | 0.290424 | − | 0.503029i | ||||
\(101\) | −9.66204 | − | 16.7351i | −0.961409 | − | 1.66521i | −0.718968 | − | 0.695043i | \(-0.755385\pi\) |
−0.242441 | − | 0.970166i | \(-0.577948\pi\) | |||||||
\(102\) | −0.946035 | − | 1.70076i | −0.0936714 | − | 0.168400i | ||||
\(103\) | −7.86720 | + | 4.54213i | −0.775178 | + | 0.447549i | −0.834719 | − | 0.550677i | \(-0.814370\pi\) |
0.0595405 | + | 0.998226i | \(0.481036\pi\) | |||||||
\(104\) | −3.53365 | − | 0.716460i | −0.346503 | − | 0.0702547i | ||||
\(105\) | 3.67561 | + | 14.6105i | 0.358703 | + | 1.42584i | ||||
\(106\) | 5.05843 | + | 2.92049i | 0.491318 | + | 0.283663i | ||||
\(107\) | 3.76351i | 0.363832i | 0.983314 | + | 0.181916i | \(0.0582299\pi\) | ||||
−0.983314 | + | 0.181916i | \(0.941770\pi\) | |||||||
\(108\) | −5.19019 | − | 0.248945i | −0.499426 | − | 0.0239548i | ||||
\(109\) | −2.43945 | − | 1.40841i | −0.233657 | − | 0.134902i | 0.378601 | − | 0.925560i | \(-0.376405\pi\) |
−0.612258 | + | 0.790658i | \(0.709739\pi\) | |||||||
\(110\) | 5.89421 | + | 3.40302i | 0.561991 | + | 0.324465i | ||||
\(111\) | 10.5535 | − | 5.87031i | 1.00170 | − | 0.557185i | ||||
\(112\) | 1.87202 | + | 1.86964i | 0.176889 | + | 0.176664i | ||||
\(113\) | 4.57774 | − | 2.64296i | 0.430637 | − | 0.248629i | −0.268981 | − | 0.963146i | \(-0.586687\pi\) |
0.699618 | + | 0.714517i | \(0.253354\pi\) | |||||||
\(114\) | 1.75064 | + | 0.0279705i | 0.163962 | + | 0.00261968i | ||||
\(115\) | −5.75475 | − | 9.96752i | −0.536633 | − | 0.929476i | ||||
\(116\) | −7.97573 | − | 4.60479i | −0.740528 | − | 0.427544i | ||||
\(117\) | −7.41720 | + | 7.87307i | −0.685720 | + | 0.727865i | ||||
\(118\) | − | 9.80909i | − | 0.903000i | ||||||
\(119\) | 2.10344 | + | 2.10077i | 0.192822 | + | 0.192577i | ||||
\(120\) | −4.88532 | − | 2.92558i | −0.445967 | − | 0.267068i | ||||
\(121\) | 3.35713 | − | 5.81473i | 0.305194 | − | 0.528612i | ||||
\(122\) | 0.209571 | + | 0.120996i | 0.0189736 | + | 0.0109544i | ||||
\(123\) | −0.272400 | + | 17.0491i | −0.0245615 | + | 1.53727i | ||||
\(124\) | −1.86666 | + | 3.23315i | −0.167631 | + | 0.290346i | ||||
\(125\) | − | 2.65798i | − | 0.237737i | ||||||
\(126\) | 7.72736 | − | 1.81324i | 0.688408 | − | 0.161536i | ||||
\(127\) | 9.40084 | − | 16.2827i | 0.834190 | − | 1.44486i | −0.0604988 | − | 0.998168i | \(-0.519269\pi\) |
0.894688 | − | 0.446691i | \(-0.147398\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −5.97286 | + | 9.97385i | −0.525881 | + | 0.878149i | ||||
\(130\) | −11.2386 | + | 3.76878i | −0.985692 | + | 0.330544i | ||||
\(131\) | −1.45204 | − | 2.51500i | −0.126865 | − | 0.219737i | 0.795595 | − | 0.605828i | \(-0.207158\pi\) |
−0.922460 | + | 0.386092i | \(0.873825\pi\) | |||||||
\(132\) | 1.84223 | − | 3.07626i | 0.160345 | − | 0.267754i | ||||
\(133\) | −2.58291 | + | 0.693847i | −0.223967 | + | 0.0601642i | ||||
\(134\) | 10.2316 | − | 5.90721i | 0.883874 | − | 0.510305i | ||||
\(135\) | −15.1865 | + | 7.82290i | −1.30705 | + | 0.673288i | ||||
\(136\) | −1.12362 | −0.0963497 | ||||||||
\(137\) | −21.1790 | −1.80945 | −0.904724 | − | 0.425999i | \(-0.859923\pi\) | ||||
−0.904724 | + | 0.425999i | \(0.859923\pi\) | |||||||
\(138\) | −5.29905 | + | 2.94755i | −0.451085 | + | 0.250912i | ||||
\(139\) | 17.6205 | − | 10.1732i | 1.49455 | − | 0.862878i | 0.494568 | − | 0.869139i | \(-0.335326\pi\) |
0.999980 | + | 0.00626156i | \(0.00199313\pi\) | |||||||
\(140\) | 8.40328 | + | 2.24594i | 0.710207 | + | 0.189816i | ||||
\(141\) | 1.81049 | + | 1.08421i | 0.152471 | + | 0.0913073i | ||||
\(142\) | −3.94585 | − | 6.83441i | −0.331128 | − | 0.573531i | ||||
\(143\) | −2.37318 | − | 7.07690i | −0.198455 | − | 0.591800i | ||||
\(144\) | −1.58223 | + | 2.54883i | −0.131853 | + | 0.212403i | ||||
\(145\) | −30.2777 | −2.51442 | ||||||||
\(146\) | −0.878160 | + | 1.52102i | −0.0726770 | + | 0.125880i | ||||
\(147\) | −10.5880 | + | 5.90711i | −0.873285 | + | 0.487210i | ||||
\(148\) | − | 6.97226i | − | 0.573116i | ||||||
\(149\) | −6.62502 | + | 11.4749i | −0.542743 | + | 0.940058i | 0.456003 | + | 0.889978i | \(0.349281\pi\) |
−0.998745 | + | 0.0500793i | \(0.984053\pi\) | |||||||
\(150\) | −10.0593 | − | 0.160721i | −0.821338 | − | 0.0131228i | ||||
\(151\) | −15.0137 | − | 8.66818i | −1.22180 | − | 0.705407i | −0.256499 | − | 0.966545i | \(-0.582569\pi\) |
−0.965301 | + | 0.261138i | \(0.915902\pi\) | |||||||
\(152\) | 0.505430 | − | 0.875431i | 0.0409958 | − | 0.0710068i | ||||
\(153\) | −1.77783 | + | 2.86392i | −0.143729 | + | 0.231534i | ||||
\(154\) | −1.41426 | + | 5.29150i | −0.113964 | + | 0.426401i | ||||
\(155\) | 12.2738i | 0.985852i | ||||||||
\(156\) | 1.89070 | + | 5.95191i | 0.151377 | + | 0.476534i | ||||
\(157\) | 12.2223 | + | 7.05652i | 0.975442 | + | 0.563172i | 0.900891 | − | 0.434045i | \(-0.142914\pi\) |
0.0745511 | + | 0.997217i | \(0.476248\pi\) | |||||||
\(158\) | 2.48977 | + | 4.31240i | 0.198075 | + | 0.343076i | ||||
\(159\) | 0.161620 | − | 10.1156i | 0.0128173 | − | 0.802217i | ||||
\(160\) | −2.84717 | + | 1.64381i | −0.225088 | + | 0.129955i | ||||
\(161\) | 6.54534 | − | 6.55365i | 0.515845 | − | 0.516500i | ||||
\(162\) | 3.99307 | + | 8.06569i | 0.313725 | + | 0.633701i | ||||
\(163\) | −8.93321 | − | 5.15759i | −0.699703 | − | 0.403974i | 0.107534 | − | 0.994201i | \(-0.465705\pi\) |
−0.807237 | + | 0.590228i | \(0.799038\pi\) | |||||||
\(164\) | 8.52566 | + | 4.92229i | 0.665742 | + | 0.384366i | ||||
\(165\) | 0.188323 | − | 11.7869i | 0.0146610 | − | 0.917610i | ||||
\(166\) | − | 0.999900i | − | 0.0776073i | ||||||
\(167\) | −12.1099 | − | 6.99167i | −0.937094 | − | 0.541032i | −0.0480461 | − | 0.998845i | \(-0.515299\pi\) |
−0.889048 | + | 0.457813i | \(0.848633\pi\) | |||||||
\(168\) | 1.25382 | − | 4.40771i | 0.0967345 | − | 0.340062i | ||||
\(169\) | 11.9734 | + | 5.06344i | 0.921028 | + | 0.389495i | ||||
\(170\) | −3.19914 | + | 1.84702i | −0.245363 | + | 0.141660i | ||||
\(171\) | −1.43162 | − | 2.67339i | −0.109478 | − | 0.204439i | ||||
\(172\) | 3.35600 | + | 5.81276i | 0.255893 | + | 0.443219i | ||||
\(173\) | −2.53897 | + | 4.39763i | −0.193035 | + | 0.334346i | −0.946254 | − | 0.323423i | \(-0.895166\pi\) |
0.753220 | + | 0.657769i | \(0.228500\pi\) | |||||||
\(174\) | −0.254829 | + | 15.9494i | −0.0193186 | + | 1.20912i | ||||
\(175\) | 14.8416 | − | 3.98690i | 1.12192 | − | 0.301381i | ||||
\(176\) | −1.03510 | − | 1.79285i | −0.0780236 | − | 0.135141i | ||||
\(177\) | −14.8475 | + | 8.25878i | −1.11600 | + | 0.620768i | ||||
\(178\) | 7.61879i | 0.571053i | ||||||||
\(179\) | −10.1439 | + | 5.85660i | −0.758193 | + | 0.437743i | −0.828647 | − | 0.559772i | \(-0.810889\pi\) |
0.0704536 | + | 0.997515i | \(0.477555\pi\) | |||||||
\(180\) | −0.315084 | + | 9.85784i | −0.0234850 | + | 0.734760i | ||||
\(181\) | − | 22.6731i | − | 1.68528i | −0.538480 | − | 0.842638i | \(-0.681001\pi\) | ||
0.538480 | − | 0.842638i | \(-0.318999\pi\) | |||||||
\(182\) | −5.27553 | − | 7.94788i | −0.391048 | − | 0.589136i | ||||
\(183\) | 0.00669590 | − | 0.419088i | 0.000494975 | − | 0.0309798i | ||||
\(184\) | 3.50085i | 0.258086i | ||||||||
\(185\) | −11.4611 | − | 19.8512i | −0.842636 | − | 1.45949i | ||||
\(186\) | 6.46548 | + | 0.103301i | 0.474072 | + | 0.00757440i | ||||
\(187\) | −1.16306 | − | 2.01448i | −0.0850514 | − | 0.147313i | ||||
\(188\) | 1.05515 | − | 0.609193i | 0.0769549 | − | 0.0444299i | ||||
\(189\) | −9.25067 | − | 10.1698i | −0.672887 | − | 0.739745i | ||||
\(190\) | − | 3.32333i | − | 0.241100i | ||||||
\(191\) | 22.3913 | + | 12.9276i | 1.62017 | + | 0.935408i | 0.986872 | + | 0.161503i | \(0.0516342\pi\) |
0.633302 | + | 0.773905i | \(0.281699\pi\) | |||||||
\(192\) | 0.841952 | + | 1.51364i | 0.0607626 | + | 0.109238i | ||||
\(193\) | 18.8878 | − | 10.9049i | 1.35957 | − | 0.784951i | 0.370008 | − | 0.929029i | \(-0.379355\pi\) |
0.989566 | + | 0.144078i | \(0.0460216\pi\) | |||||||
\(194\) | 3.21628 | + | 5.57077i | 0.230916 | + | 0.399958i | ||||
\(195\) | 15.1670 | + | 13.8381i | 1.08613 | + | 0.990969i | ||||
\(196\) | 0.00888497 | + | 6.99999i | 0.000634641 | + | 0.500000i | ||||
\(197\) | −3.51025 | + | 6.07993i | −0.250095 | + | 0.433177i | −0.963552 | − | 0.267522i | \(-0.913795\pi\) |
0.713457 | + | 0.700699i | \(0.247128\pi\) | |||||||
\(198\) | −6.20743 | − | 0.198407i | −0.441143 | − | 0.0141002i | ||||
\(199\) | − | 15.0791i | − | 1.06893i | −0.845191 | − | 0.534464i | \(-0.820513\pi\) | ||
0.845191 | − | 0.534464i | \(-0.179487\pi\) | |||||||
\(200\) | −2.90424 | + | 5.03029i | −0.205361 | + | 0.355695i | ||||
\(201\) | −17.5559 | − | 10.5134i | −1.23830 | − | 0.741557i | ||||
\(202\) | 9.66204 | + | 16.7351i | 0.679819 | + | 1.17748i | ||||
\(203\) | −6.32139 | − | 23.5320i | −0.443675 | − | 1.65162i | ||||
\(204\) | 0.946035 | + | 1.70076i | 0.0662357 | + | 0.119077i | ||||
\(205\) | 32.3653 | 2.26049 | ||||||||
\(206\) | 7.86720 | − | 4.54213i | 0.548134 | − | 0.316465i | ||||
\(207\) | 8.92308 | + | 5.53917i | 0.620197 | + | 0.384999i | ||||
\(208\) | 3.53365 | + | 0.716460i | 0.245015 | + | 0.0496776i | ||||
\(209\) | 2.09268 | 0.144754 | ||||||||
\(210\) | −3.67561 | − | 14.6105i | −0.253641 | − | 1.00822i | ||||
\(211\) | −10.2101 | + | 17.6845i | −0.702895 | + | 1.21745i | 0.264550 | + | 0.964372i | \(0.414776\pi\) |
−0.967446 | + | 0.253079i | \(0.918557\pi\) | |||||||
\(212\) | −5.05843 | − | 2.92049i | −0.347415 | − | 0.200580i | ||||
\(213\) | −7.02265 | + | 11.7269i | −0.481184 | + | 0.803511i | ||||
\(214\) | − | 3.76351i | − | 0.257268i | ||||||
\(215\) | 19.1102 | + | 11.0333i | 1.30330 | + | 0.752463i | ||||
\(216\) | 5.19019 | + | 0.248945i | 0.353147 | + | 0.0169386i | ||||
\(217\) | −9.53925 | + | 2.56252i | −0.647567 | + | 0.173955i | ||||
\(218\) | 2.43945 | + | 1.40841i | 0.165220 | + | 0.0953899i | ||||
\(219\) | 3.04165 | + | 0.0485974i | 0.205535 | + | 0.00328391i | ||||
\(220\) | −5.89421 | − | 3.40302i | −0.397387 | − | 0.229432i | ||||
\(221\) | 3.97048 | + | 0.805029i | 0.267084 | + | 0.0541521i | ||||
\(222\) | −10.5535 | + | 5.87031i | −0.708306 | + | 0.393989i | ||||
\(223\) | 1.37326 | − | 2.37855i | 0.0919602 | − | 0.159280i | −0.816376 | − | 0.577521i | \(-0.804020\pi\) |
0.908336 | + | 0.418241i | \(0.137353\pi\) | |||||||
\(224\) | −1.87202 | − | 1.86964i | −0.125079 | − | 0.124921i | ||||
\(225\) | 8.22617 | + | 15.3615i | 0.548411 | + | 1.02410i | ||||
\(226\) | −4.57774 | + | 2.64296i | −0.304507 | + | 0.175807i | ||||
\(227\) | 8.98000i | 0.596024i | 0.954562 | + | 0.298012i | \(0.0963235\pi\) | ||||
−0.954562 | + | 0.298012i | \(0.903676\pi\) | |||||||
\(228\) | −1.75064 | − | 0.0279705i | −0.115939 | − | 0.00185239i | ||||
\(229\) | 8.23500 | + | 14.2634i | 0.544184 | + | 0.942554i | 0.998658 | + | 0.0517940i | \(0.0164939\pi\) |
−0.454474 | + | 0.890760i | \(0.650173\pi\) | |||||||
\(230\) | 5.75475 | + | 9.96752i | 0.379457 | + | 0.657239i | ||||
\(231\) | 9.20018 | − | 2.31451i | 0.605328 | − | 0.152284i | ||||
\(232\) | 7.97573 | + | 4.60479i | 0.523633 | + | 0.302319i | ||||
\(233\) | 4.79194 | − | 2.76663i | 0.313931 | − | 0.181248i | −0.334753 | − | 0.942306i | \(-0.608653\pi\) |
0.648684 | + | 0.761058i | \(0.275320\pi\) | |||||||
\(234\) | 7.41720 | − | 7.87307i | 0.484877 | − | 0.514679i | ||||
\(235\) | 2.00280 | − | 3.46895i | 0.130648 | − | 0.226289i | ||||
\(236\) | 9.80909i | 0.638517i | ||||||||
\(237\) | 4.43118 | − | 7.39946i | 0.287836 | − | 0.480646i | ||||
\(238\) | −2.10344 | − | 2.10077i | −0.136346 | − | 0.136173i | ||||
\(239\) | −4.33497 | −0.280406 | −0.140203 | − | 0.990123i | \(-0.544776\pi\) | ||||
−0.140203 | + | 0.990123i | \(0.544776\pi\) | |||||||
\(240\) | 4.88532 | + | 2.92558i | 0.315346 | + | 0.188846i | ||||
\(241\) | 4.20698 | 0.270995 | 0.135498 | − | 0.990778i | \(-0.456737\pi\) | ||||
0.135498 | + | 0.990778i | \(0.456737\pi\) | |||||||
\(242\) | −3.35713 | + | 5.81473i | −0.215805 | + | 0.373785i | ||||
\(243\) | 8.84661 | − | 12.8350i | 0.567510 | − | 0.823366i | ||||
\(244\) | −0.209571 | − | 0.120996i | −0.0134164 | − | 0.00774595i | ||||
\(245\) | 11.5320 | + | 19.9155i | 0.736751 | + | 1.27236i | ||||
\(246\) | 0.272400 | − | 17.0491i | 0.0173676 | − | 1.08701i | ||||
\(247\) | −2.41322 | + | 2.73135i | −0.153550 | + | 0.173791i | ||||
\(248\) | 1.86666 | − | 3.23315i | 0.118533 | − | 0.205305i | ||||
\(249\) | −1.51349 | + | 0.841868i | −0.0959137 | + | 0.0533512i | ||||
\(250\) | 2.65798i | 0.168105i | ||||||||
\(251\) | −9.79168 | − | 16.9597i | −0.618045 | − | 1.07049i | −0.989842 | − | 0.142172i | \(-0.954591\pi\) |
0.371797 | − | 0.928314i | \(-0.378742\pi\) | |||||||
\(252\) | −7.72736 | + | 1.81324i | −0.486778 | + | 0.114223i | ||||
\(253\) | −6.27649 | + | 3.62374i | −0.394600 | + | 0.227822i | ||||
\(254\) | −9.40084 | + | 16.2827i | −0.589861 | + | 1.02167i | ||||
\(255\) | 5.48925 | + | 3.28725i | 0.343750 | + | 0.205855i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −17.9497 | −1.11967 | −0.559837 | − | 0.828603i | \(-0.689136\pi\) | ||||
−0.559837 | + | 0.828603i | \(0.689136\pi\) | |||||||
\(258\) | 5.97286 | − | 9.97385i | 0.371854 | − | 0.620945i | ||||
\(259\) | 13.0356 | − | 13.0522i | 0.809994 | − | 0.811023i | ||||
\(260\) | 11.2386 | − | 3.76878i | 0.696990 | − | 0.233730i | ||||
\(261\) | 24.3563 | − | 13.0429i | 1.50762 | − | 0.807337i | ||||
\(262\) | 1.45204 | + | 2.51500i | 0.0897072 | + | 0.155377i | ||||
\(263\) | 24.1161 | − | 13.9235i | 1.48707 | − | 0.858557i | 0.487174 | − | 0.873305i | \(-0.338028\pi\) |
0.999891 | + | 0.0147476i | \(0.00469446\pi\) | |||||||
\(264\) | −1.84223 | + | 3.07626i | −0.113381 | + | 0.189331i | ||||
\(265\) | −19.2029 | −1.17963 | ||||||||
\(266\) | 2.58291 | − | 0.693847i | 0.158369 | − | 0.0425425i | ||||
\(267\) | 11.5321 | − | 6.41466i | 0.705755 | − | 0.392571i | ||||
\(268\) | −10.2316 | + | 5.90721i | −0.624994 | + | 0.360840i | ||||
\(269\) | −28.3069 | −1.72590 | −0.862951 | − | 0.505288i | \(-0.831386\pi\) | ||||
−0.862951 | + | 0.505288i | \(0.831386\pi\) | |||||||
\(270\) | 15.1865 | − | 7.82290i | 0.924224 | − | 0.476087i | ||||
\(271\) | 25.3037 | 1.53709 | 0.768546 | − | 0.639795i | \(-0.220981\pi\) | ||||
0.768546 | + | 0.639795i | \(0.220981\pi\) | |||||||
\(272\) | 1.12362 | 0.0681295 | ||||||||
\(273\) | −7.58852 | + | 14.6770i | −0.459278 | + | 0.888292i | ||||
\(274\) | 21.1790 | 1.27947 | ||||||||
\(275\) | −12.0247 | −0.725118 | ||||||||
\(276\) | 5.29905 | − | 2.94755i | 0.318965 | − | 0.177422i | ||||
\(277\) | −13.0935 | −0.786713 | −0.393356 | − | 0.919386i | \(-0.628686\pi\) | ||||
−0.393356 | + | 0.919386i | \(0.628686\pi\) | |||||||
\(278\) | −17.6205 | + | 10.1732i | −1.05680 | + | 0.610147i | ||||
\(279\) | −5.28726 | − | 9.87340i | −0.316540 | − | 0.591105i | ||||
\(280\) | −8.40328 | − | 2.24594i | −0.502192 | − | 0.134220i | ||||
\(281\) | 16.5616 | 0.987980 | 0.493990 | − | 0.869468i | \(-0.335538\pi\) | ||||
0.493990 | + | 0.869468i | \(0.335538\pi\) | |||||||
\(282\) | −1.81049 | − | 1.08421i | −0.107813 | − | 0.0645640i | ||||
\(283\) | −15.9278 | + | 9.19594i | −0.946811 | + | 0.546642i | −0.892089 | − | 0.451860i | \(-0.850761\pi\) |
−0.0547224 | + | 0.998502i | \(0.517427\pi\) | |||||||
\(284\) | 3.94585 | + | 6.83441i | 0.234143 | + | 0.405548i | ||||
\(285\) | −5.03034 | + | 2.79808i | −0.297971 | + | 0.165744i | ||||
\(286\) | 2.37318 | + | 7.07690i | 0.140329 | + | 0.418466i | ||||
\(287\) | 6.75725 | + | 25.1545i | 0.398868 | + | 1.48483i | ||||
\(288\) | 1.58223 | − | 2.54883i | 0.0932340 | − | 0.150191i | ||||
\(289\) | −15.7375 | −0.925734 | ||||||||
\(290\) | 30.2777 | 1.77797 | ||||||||
\(291\) | 5.72420 | − | 9.55863i | 0.335559 | − | 0.560337i | ||||
\(292\) | 0.878160 | − | 1.52102i | 0.0513904 | − | 0.0890108i | ||||
\(293\) | 7.37759 | − | 4.25945i | 0.431003 | − | 0.248840i | −0.268771 | − | 0.963204i | \(-0.586617\pi\) |
0.699774 | + | 0.714364i | \(0.253284\pi\) | |||||||
\(294\) | 10.5880 | − | 5.90711i | 0.617506 | − | 0.344510i | ||||
\(295\) | 16.1243 | + | 27.9281i | 0.938793 | + | 1.62604i | ||||
\(296\) | 6.97226i | 0.405254i | ||||||||
\(297\) | 4.92604 | + | 9.56289i | 0.285838 | + | 0.554895i | ||||
\(298\) | 6.62502 | − | 11.4749i | 0.383777 | − | 0.664721i | ||||
\(299\) | 2.50822 | − | 12.3708i | 0.145054 | − | 0.715422i | ||||
\(300\) | 10.0593 | + | 0.160721i | 0.580774 | + | 0.00927922i | ||||
\(301\) | −4.58529 | + | 17.1561i | −0.264292 | + | 0.988861i | ||||
\(302\) | 15.0137 | + | 8.66818i | 0.863943 | + | 0.498798i | ||||
\(303\) | 17.1961 | − | 28.7151i | 0.987889 | − | 1.64964i | ||||
\(304\) | −0.505430 | + | 0.875431i | −0.0289884 | + | 0.0502094i | ||||
\(305\) | −0.795576 | −0.0455546 | ||||||||
\(306\) | 1.77783 | − | 2.86392i | 0.101632 | − | 0.163719i | ||||
\(307\) | −21.3161 | −1.21658 | −0.608288 | − | 0.793716i | \(-0.708143\pi\) | ||||
−0.608288 | + | 0.793716i | \(0.708143\pi\) | |||||||
\(308\) | 1.41426 | − | 5.29150i | 0.0805847 | − | 0.301511i | ||||
\(309\) | −13.4990 | − | 8.08388i | −0.767930 | − | 0.459876i | ||||
\(310\) | − | 12.2738i | − | 0.697103i | ||||||
\(311\) | −7.40693 | + | 12.8292i | −0.420008 | + | 0.727476i | −0.995940 | − | 0.0900223i | \(-0.971306\pi\) |
0.575931 | + | 0.817498i | \(0.304639\pi\) | |||||||
\(312\) | −1.89070 | − | 5.95191i | −0.107040 | − | 0.336961i | ||||
\(313\) | −22.7031 | + | 13.1077i | −1.28326 | + | 0.740889i | −0.977442 | − | 0.211203i | \(-0.932262\pi\) |
−0.305814 | + | 0.952091i | \(0.598929\pi\) | |||||||
\(314\) | −12.2223 | − | 7.05652i | −0.689742 | − | 0.398223i | ||||
\(315\) | −19.0205 | + | 17.8649i | −1.07168 | + | 1.00658i | ||||
\(316\) | −2.48977 | − | 4.31240i | −0.140060 | − | 0.242592i | ||||
\(317\) | 9.80532 | + | 16.9833i | 0.550722 | + | 0.953878i | 0.998223 | + | 0.0595945i | \(0.0189808\pi\) |
−0.447501 | + | 0.894283i | \(0.647686\pi\) | |||||||
\(318\) | −0.161620 | + | 10.1156i | −0.00906319 | + | 0.567253i | ||||
\(319\) | 19.0657i | 1.06747i | ||||||||
\(320\) | 2.84717 | − | 1.64381i | 0.159161 | − | 0.0918919i | ||||
\(321\) | −5.69661 | + | 3.16869i | −0.317954 | + | 0.176859i | ||||
\(322\) | −6.54534 | + | 6.55365i | −0.364758 | + | 0.365221i | ||||
\(323\) | −0.567912 | + | 0.983652i | −0.0315995 | + | 0.0547319i | ||||
\(324\) | −3.99307 | − | 8.06569i | −0.221837 | − | 0.448094i | ||||
\(325\) | 13.8666 | − | 15.6945i | 0.769179 | − | 0.870575i | ||||
\(326\) | 8.93321 | + | 5.15759i | 0.494765 | + | 0.285652i | ||||
\(327\) | 0.0779417 | − | 4.87827i | 0.00431019 | − | 0.269769i | ||||
\(328\) | −8.52566 | − | 4.92229i | −0.470751 | − | 0.271788i | ||||
\(329\) | 3.11423 | + | 0.832338i | 0.171693 | + | 0.0458883i | ||||
\(330\) | −0.188323 | + | 11.7869i | −0.0103669 | + | 0.648848i | ||||
\(331\) | 22.5837 | + | 13.0387i | 1.24131 | + | 0.716671i | 0.969361 | − | 0.245641i | \(-0.0789985\pi\) |
0.271949 | + | 0.962312i | \(0.412332\pi\) | |||||||
\(332\) | 0.999900i | 0.0548767i | ||||||||
\(333\) | 17.7711 | + | 11.0317i | 0.973851 | + | 0.604536i | ||||
\(334\) | 12.1099 | + | 6.99167i | 0.662626 | + | 0.382567i | ||||
\(335\) | −19.4207 | + | 33.6376i | −1.06107 | + | 1.83782i | ||||
\(336\) | −1.25382 | + | 4.40771i | −0.0684016 | + | 0.240460i | ||||
\(337\) | −13.5184 | −0.736394 | −0.368197 | − | 0.929748i | \(-0.620025\pi\) | ||||
−0.368197 | + | 0.929748i | \(0.620025\pi\) | |||||||
\(338\) | −11.9734 | − | 5.06344i | −0.651265 | − | 0.275415i | ||||
\(339\) | 7.85473 | + | 4.70382i | 0.426610 | + | 0.255476i | ||||
\(340\) | 3.19914 | − | 1.84702i | 0.173498 | − | 0.100169i | ||||
\(341\) | 7.72873 | 0.418534 | ||||||||
\(342\) | 1.43162 | + | 2.67339i | 0.0774129 | + | 0.144561i | ||||
\(343\) | −13.0708 | + | 13.1207i | −0.705759 | + | 0.708452i | ||||
\(344\) | −3.35600 | − | 5.81276i | −0.180943 | − | 0.313403i | ||||
\(345\) | 10.2420 | − | 17.1028i | 0.551413 | − | 0.920784i | ||||
\(346\) | 2.53897 | − | 4.39763i | 0.136496 | − | 0.236418i | ||||
\(347\) | − | 33.5765i | − | 1.80248i | −0.433322 | − | 0.901239i | \(-0.642659\pi\) | ||
0.433322 | − | 0.901239i | \(-0.357341\pi\) | |||||||
\(348\) | 0.254829 | − | 15.9494i | 0.0136603 | − | 0.854979i | ||||
\(349\) | 11.8845 | − | 20.5845i | 0.636161 | − | 1.10186i | −0.350107 | − | 0.936710i | \(-0.613855\pi\) |
0.986268 | − | 0.165153i | \(-0.0528118\pi\) | |||||||
\(350\) | −14.8416 | + | 3.98690i | −0.793318 | + | 0.213109i | ||||
\(351\) | −18.1619 | − | 4.59825i | −0.969413 | − | 0.245436i | ||||
\(352\) | 1.03510 | + | 1.79285i | 0.0551710 | + | 0.0955590i | ||||
\(353\) | 9.28444 | − | 5.36037i | 0.494161 | − | 0.285304i | −0.232138 | − | 0.972683i | \(-0.574572\pi\) |
0.726299 | + | 0.687379i | \(0.241239\pi\) | |||||||
\(354\) | 14.8475 | − | 8.25878i | 0.789134 | − | 0.438949i | ||||
\(355\) | 22.4690 | + | 12.9725i | 1.19253 | + | 0.688508i | ||||
\(356\) | − | 7.61879i | − | 0.403795i | ||||||
\(357\) | −1.40882 | + | 4.95260i | −0.0745628 | + | 0.262119i | ||||
\(358\) | 10.1439 | − | 5.85660i | 0.536123 | − | 0.309531i | ||||
\(359\) | 7.26878 | + | 12.5899i | 0.383632 | + | 0.664469i | 0.991578 | − | 0.129508i | \(-0.0413399\pi\) |
−0.607947 | + | 0.793978i | \(0.708007\pi\) | |||||||
\(360\) | 0.315084 | − | 9.85784i | 0.0166064 | − | 0.519554i | ||||
\(361\) | 8.98908 | + | 15.5695i | 0.473110 | + | 0.819450i | ||||
\(362\) | 22.6731i | 1.19167i | ||||||||
\(363\) | 11.6280 | + | 0.185784i | 0.610310 | + | 0.00975113i | ||||
\(364\) | 5.27553 | + | 7.94788i | 0.276513 | + | 0.416582i | ||||
\(365\) | − | 5.77412i | − | 0.302231i | ||||||
\(366\) | −0.00669590 | + | 0.419088i | −0.000350000 | + | 0.0219061i | ||||
\(367\) | −15.1524 | + | 8.74823i | −0.790948 | + | 0.456654i | −0.840296 | − | 0.542128i | \(-0.817619\pi\) |
0.0493484 | + | 0.998782i | \(0.484286\pi\) | |||||||
\(368\) | − | 3.50085i | − | 0.182495i | ||||||
\(369\) | −26.0357 | + | 13.9422i | −1.35536 | + | 0.725804i | ||||
\(370\) | 11.4611 | + | 19.8512i | 0.595834 | + | 1.03201i | ||||
\(371\) | −4.00920 | − | 14.9247i | −0.208147 | − | 0.774849i | ||||
\(372\) | −6.46548 | − | 0.103301i | −0.335219 | − | 0.00535591i | ||||
\(373\) | 5.93324 | − | 10.2767i | 0.307211 | − | 0.532106i | −0.670540 | − | 0.741874i | \(-0.733937\pi\) |
0.977751 | + | 0.209768i | \(0.0672708\pi\) | |||||||
\(374\) | 1.16306 | + | 2.01448i | 0.0601404 | + | 0.104166i | ||||
\(375\) | 4.02323 | − | 2.23789i | 0.207759 | − | 0.115564i | ||||
\(376\) | −1.05515 | + | 0.609193i | −0.0544153 | + | 0.0314167i | ||||
\(377\) | −24.8843 | − | 21.9860i | −1.28161 | − | 1.13234i | ||||
\(378\) | 9.25067 | + | 10.1698i | 0.475803 | + | 0.523079i | ||||
\(379\) | 10.9141 | + | 6.30127i | 0.560620 | + | 0.323674i | 0.753394 | − | 0.657569i | \(-0.228415\pi\) |
−0.192774 | + | 0.981243i | \(0.561748\pi\) | |||||||
\(380\) | 3.32333i | 0.170483i | ||||||||
\(381\) | 32.5613 | + | 0.520243i | 1.66817 | + | 0.0266528i | ||||
\(382\) | −22.3913 | − | 12.9276i | −1.14564 | − | 0.661433i | ||||
\(383\) | −0.920885 | − | 0.531673i | −0.0470550 | − | 0.0271672i | 0.476288 | − | 0.879289i | \(-0.341982\pi\) |
−0.523343 | + | 0.852122i | \(0.675315\pi\) | |||||||
\(384\) | −0.841952 | − | 1.51364i | −0.0429657 | − | 0.0772428i | ||||
\(385\) | −4.67162 | − | 17.3906i | −0.238088 | − | 0.886305i | ||||
\(386\) | −18.8878 | + | 10.9049i | −0.961364 | + | 0.555044i | ||||
\(387\) | −20.1257 | − | 0.643275i | −1.02305 | − | 0.0326995i | ||||
\(388\) | −3.21628 | − | 5.57077i | −0.163282 | − | 0.282813i | ||||
\(389\) | −2.28039 | − | 1.31658i | −0.115620 | − | 0.0667534i | 0.441075 | − | 0.897470i | \(-0.354597\pi\) |
−0.556695 | + | 0.830717i | \(0.687931\pi\) | |||||||
\(390\) | −15.1670 | − | 13.8381i | −0.768009 | − | 0.700721i | ||||
\(391\) | − | 3.93363i | − | 0.198932i | ||||||
\(392\) | −0.00888497 | − | 6.99999i | −0.000448759 | − | 0.353553i | ||||
\(393\) | 2.58427 | − | 4.31538i | 0.130359 | − | 0.217682i | ||||
\(394\) | 3.51025 | − | 6.07993i | 0.176844 | − | 0.306302i | ||||
\(395\) | −14.1776 | − | 8.18542i | −0.713351 | − | 0.411853i | ||||
\(396\) | 6.20743 | + | 0.198407i | 0.311935 | + | 0.00997033i | ||||
\(397\) | −4.27357 | + | 7.40204i | −0.214484 | + | 0.371498i | −0.953113 | − | 0.302615i | \(-0.902140\pi\) |
0.738629 | + | 0.674113i | \(0.235474\pi\) | |||||||
\(398\) | 15.0791i | 0.755846i | ||||||||
\(399\) | −3.22493 | − | 3.32543i | −0.161448 | − | 0.166480i | ||||
\(400\) | 2.90424 | − | 5.03029i | 0.145212 | − | 0.251515i | ||||
\(401\) | −15.5754 | −0.777797 | −0.388898 | − | 0.921281i | \(-0.627144\pi\) | ||||
−0.388898 | + | 0.921281i | \(0.627144\pi\) | |||||||
\(402\) | 17.5559 | + | 10.5134i | 0.875609 | + | 0.524360i | ||||
\(403\) | −8.91255 | + | 10.0874i | −0.443966 | + | 0.502491i | ||||
\(404\) | −9.66204 | − | 16.7351i | −0.480705 | − | 0.832605i | ||||
\(405\) | −24.6274 | − | 16.4005i | −1.22375 | − | 0.814948i | ||||
\(406\) | 6.32139 | + | 23.5320i | 0.313725 | + | 1.16787i | ||||
\(407\) | −12.5002 | + | 7.21699i | −0.619612 | + | 0.357733i | ||||
\(408\) | −0.946035 | − | 1.70076i | −0.0468357 | − | 0.0842002i | ||||
\(409\) | 10.8097 | 0.534504 | 0.267252 | − | 0.963627i | \(-0.413884\pi\) | ||||
0.267252 | + | 0.963627i | \(0.413884\pi\) | |||||||
\(410\) | −32.3653 | −1.59841 | ||||||||
\(411\) | −17.8317 | − | 32.0575i | −0.879575 | − | 1.58128i | ||||
\(412\) | −7.86720 | + | 4.54213i | −0.387589 | + | 0.223775i | ||||
\(413\) | −18.3395 | + | 18.3628i | −0.902427 | + | 0.903573i | ||||
\(414\) | −8.92308 | − | 5.53917i | −0.438546 | − | 0.272235i | ||||
\(415\) | 1.64365 | + | 2.84688i | 0.0806836 | + | 0.139748i | ||||
\(416\) | −3.53365 | − | 0.716460i | −0.173251 | − | 0.0351273i | ||||
\(417\) | 30.2341 | + | 18.1058i | 1.48057 | + | 0.886643i | ||||
\(418\) | −2.09268 | −0.102357 | ||||||||
\(419\) | −7.13932 | + | 12.3657i | −0.348779 | + | 0.604102i | −0.986033 | − | 0.166551i | \(-0.946737\pi\) |
0.637254 | + | 0.770654i | \(0.280070\pi\) | |||||||
\(420\) | 3.67561 | + | 14.6105i | 0.179351 | + | 0.712921i | ||||
\(421\) | − | 31.1553i | − | 1.51842i | −0.650848 | − | 0.759208i | \(-0.725586\pi\) | ||
0.650848 | − | 0.759208i | \(-0.274414\pi\) | |||||||
\(422\) | 10.2101 | − | 17.6845i | 0.497022 | − | 0.860867i | ||||
\(423\) | −0.116769 | + | 3.65329i | −0.00567753 | + | 0.177629i | ||||
\(424\) | 5.05843 | + | 2.92049i | 0.245659 | + | 0.141831i | ||||
\(425\) | 3.26326 | − | 5.65214i | 0.158292 | − | 0.274169i | ||||
\(426\) | 7.02265 | − | 11.7269i | 0.340249 | − | 0.568168i | ||||
\(427\) | −0.166101 | − | 0.618327i | −0.00803819 | − | 0.0299230i | ||||
\(428\) | 3.76351i | 0.181916i | ||||||||
\(429\) | 8.71380 | − | 9.55056i | 0.420706 | − | 0.461105i | ||||
\(430\) | −19.1102 | − | 11.0333i | −0.921575 | − | 0.532071i | ||||
\(431\) | 10.7951 | + | 18.6976i | 0.519981 | + | 0.900634i | 0.999730 | + | 0.0232279i | \(0.00739433\pi\) |
−0.479749 | + | 0.877406i | \(0.659272\pi\) | |||||||
\(432\) | −5.19019 | − | 0.248945i | −0.249713 | − | 0.0119774i | ||||
\(433\) | 16.2009 | − | 9.35358i | 0.778565 | − | 0.449505i | −0.0573567 | − | 0.998354i | \(-0.518267\pi\) |
0.835921 | + | 0.548849i | \(0.184934\pi\) | |||||||
\(434\) | 9.53925 | − | 2.56252i | 0.457899 | − | 0.123005i | ||||
\(435\) | −25.4923 | − | 45.8296i | −1.22226 | − | 2.19736i | ||||
\(436\) | −2.43945 | − | 1.40841i | −0.116828 | − | 0.0674508i | ||||
\(437\) | 3.06476 | + | 1.76944i | 0.146607 | + | 0.0846437i | ||||
\(438\) | −3.04165 | − | 0.0485974i | −0.145336 | − | 0.00232207i | ||||
\(439\) | 14.3709i | 0.685885i | 0.939356 | + | 0.342943i | \(0.111424\pi\) | ||||
−0.939356 | + | 0.342943i | \(0.888576\pi\) | |||||||
\(440\) | 5.89421 | + | 3.40302i | 0.280995 | + | 0.162233i | ||||
\(441\) | −17.8559 | − | 11.0530i | −0.850279 | − | 0.526332i | ||||
\(442\) | −3.97048 | − | 0.805029i | −0.188857 | − | 0.0382913i | ||||
\(443\) | 1.21594 | − | 0.702023i | 0.0577711 | − | 0.0333541i | −0.470836 | − | 0.882221i | \(-0.656048\pi\) |
0.528607 | + | 0.848866i | \(0.322714\pi\) | |||||||
\(444\) | 10.5535 | − | 5.87031i | 0.500848 | − | 0.278593i | ||||
\(445\) | −12.5239 | − | 21.6920i | −0.593688 | − | 1.02830i | ||||
\(446\) | −1.37326 | + | 2.37855i | −0.0650257 | + | 0.112628i | ||||
\(447\) | −22.9468 | − | 0.366629i | −1.08535 | − | 0.0173409i | ||||
\(448\) | 1.87202 | + | 1.86964i | 0.0884444 | + | 0.0883322i | ||||
\(449\) | 11.0266 | + | 19.0987i | 0.520379 | + | 0.901323i | 0.999719 | + | 0.0236937i | \(0.00754264\pi\) |
−0.479340 | + | 0.877629i | \(0.659124\pi\) | |||||||
\(450\) | −8.22617 | − | 15.3615i | −0.387785 | − | 0.724149i | ||||
\(451\) | − | 20.3803i | − | 0.959669i | ||||||
\(452\) | 4.57774 | − | 2.64296i | 0.215319 | − | 0.124314i | ||||
\(453\) | 0.479698 | − | 30.0236i | 0.0225382 | − | 1.41063i | ||||
\(454\) | − | 8.98000i | − | 0.421453i | ||||||
\(455\) | 28.0851 | + | 13.9570i | 1.31665 | + | 0.654313i | ||||
\(456\) | 1.75064 | + | 0.0279705i | 0.0819812 | + | 0.00130984i | ||||
\(457\) | 42.3253i | 1.97990i | 0.141432 | + | 0.989948i | \(0.454829\pi\) | ||||
−0.141432 | + | 0.989948i | \(0.545171\pi\) | |||||||
\(458\) | −8.23500 | − | 14.2634i | −0.384796 | − | 0.666486i | ||||
\(459\) | −5.83180 | − | 0.279720i | −0.272205 | − | 0.0130562i | ||||
\(460\) | −5.75475 | − | 9.96752i | −0.268317 | − | 0.464738i | ||||
\(461\) | 10.2913 | − | 5.94166i | 0.479312 | − | 0.276731i | −0.240818 | − | 0.970570i | \(-0.577416\pi\) |
0.720130 | + | 0.693839i | \(0.244082\pi\) | |||||||
\(462\) | −9.20018 | + | 2.31451i | −0.428031 | + | 0.107681i | ||||
\(463\) | − | 3.56440i | − | 0.165652i | −0.996564 | − | 0.0828258i | \(-0.973605\pi\) | ||
0.996564 | − | 0.0828258i | \(-0.0263945\pi\) | |||||||
\(464\) | −7.97573 | − | 4.60479i | −0.370264 | − | 0.213772i | ||||
\(465\) | −18.5781 | + | 10.3339i | −0.861539 | + | 0.479224i | ||||
\(466\) | −4.79194 | + | 2.76663i | −0.221983 | + | 0.128162i | ||||
\(467\) | −3.56143 | − | 6.16858i | −0.164803 | − | 0.285448i | 0.771782 | − | 0.635887i | \(-0.219366\pi\) |
−0.936585 | + | 0.350439i | \(0.886032\pi\) | |||||||
\(468\) | −7.41720 | + | 7.87307i | −0.342860 | + | 0.363933i | ||||
\(469\) | −30.1981 | − | 8.07101i | −1.39442 | − | 0.372684i | ||||
\(470\) | −2.00280 | + | 3.46895i | −0.0923821 | + | 0.160011i | ||||
\(471\) | −0.390508 | + | 24.4414i | −0.0179937 | + | 1.12620i | ||||
\(472\) | − | 9.80909i | − | 0.451500i | ||||||
\(473\) | 6.94759 | − | 12.0336i | 0.319451 | − | 0.553305i | ||||
\(474\) | −4.43118 | + | 7.39946i | −0.203531 | + | 0.339868i | ||||
\(475\) | 2.93578 | + | 5.08492i | 0.134703 | + | 0.233312i | ||||
\(476\) | 2.10344 | + | 2.10077i | 0.0964108 | + | 0.0962885i | ||||
\(477\) | 15.4474 | − | 8.27219i | 0.707290 | − | 0.378758i | ||||
\(478\) | 4.33497 | 0.198277 | ||||||||
\(479\) | 26.4547 | − | 15.2736i | 1.20875 | − | 0.697870i | 0.246260 | − | 0.969204i | \(-0.420798\pi\) |
0.962485 | + | 0.271334i | \(0.0874648\pi\) | |||||||
\(480\) | −4.88532 | − | 2.92558i | −0.222984 | − | 0.133534i | ||||
\(481\) | 4.99535 | − | 24.6375i | 0.227768 | − | 1.12337i | ||||
\(482\) | −4.20698 | −0.191623 | ||||||||
\(483\) | 15.4308 | + | 4.38945i | 0.702124 | + | 0.199727i | ||||
\(484\) | 3.35713 | − | 5.81473i | 0.152597 | − | 0.264306i | ||||
\(485\) | −18.3146 | − | 10.5739i | −0.831623 | − | 0.480138i | ||||
\(486\) | −8.84661 | + | 12.8350i | −0.401290 | + | 0.582208i | ||||
\(487\) | 32.0202i | 1.45098i | 0.688235 | + | 0.725488i | \(0.258386\pi\) | ||||
−0.688235 | + | 0.725488i | \(0.741614\pi\) | |||||||
\(488\) | 0.209571 | + | 0.120996i | 0.00948681 | + | 0.00547721i | ||||
\(489\) | 0.285421 | − | 17.8641i | 0.0129072 | − | 0.807844i | ||||
\(490\) | −11.5320 | − | 19.9155i | −0.520962 | − | 0.899693i | ||||
\(491\) | 13.0865 | + | 7.55549i | 0.590585 | + | 0.340975i | 0.765329 | − | 0.643639i | \(-0.222576\pi\) |
−0.174744 | + | 0.984614i | \(0.555910\pi\) | |||||||
\(492\) | −0.272400 | + | 17.0491i | −0.0122807 | + | 0.768635i | ||||
\(493\) | −8.96170 | − | 5.17404i | −0.403615 | − | 0.233027i | ||||
\(494\) | 2.41322 | − | 2.73135i | 0.108576 | − | 0.122889i | ||||
\(495\) | 17.9997 | − | 9.63896i | 0.809028 | − | 0.433239i | ||||
\(496\) | −1.86666 | + | 3.23315i | −0.0838156 | + | 0.145173i | ||||
\(497\) | −5.39121 | + | 20.1715i | −0.241829 | + | 0.904813i | ||||
\(498\) | 1.51349 | − | 0.841868i | 0.0678212 | − | 0.0377250i | ||||
\(499\) | −4.18606 | + | 2.41682i | −0.187394 | + | 0.108192i | −0.590762 | − | 0.806846i | \(-0.701173\pi\) |
0.403368 | + | 0.915038i | \(0.367839\pi\) | |||||||
\(500\) | − | 2.65798i | − | 0.118868i | ||||||
\(501\) | 0.386919 | − | 24.2168i | 0.0172863 | − | 1.08193i | ||||
\(502\) | 9.79168 | + | 16.9597i | 0.437024 | + | 0.756948i | ||||
\(503\) | 13.7946 | + | 23.8930i | 0.615073 | + | 1.06534i | 0.990372 | + | 0.138433i | \(0.0442066\pi\) |
−0.375299 | + | 0.926904i | \(0.622460\pi\) | |||||||
\(504\) | 7.72736 | − | 1.81324i | 0.344204 | − | 0.0807682i | ||||
\(505\) | −55.0189 | − | 31.7652i | −2.44831 | − | 1.41353i | ||||
\(506\) | 6.27649 | − | 3.62374i | 0.279024 | − | 0.161095i | ||||
\(507\) | 2.41676 | + | 22.3866i | 0.107332 | + | 0.994223i | ||||
\(508\) | 9.40084 | − | 16.2827i | 0.417095 | − | 0.722429i | ||||
\(509\) | 31.3889i | 1.39129i | 0.718386 | + | 0.695645i | \(0.244881\pi\) | ||||
−0.718386 | + | 0.695645i | \(0.755119\pi\) | |||||||
\(510\) | −5.48925 | − | 3.28725i | −0.243068 | − | 0.145562i | ||||
\(511\) | 4.48769 | − | 1.20553i | 0.198524 | − | 0.0533293i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 2.84121 | − | 4.41782i | 0.125443 | − | 0.195052i | ||||
\(514\) | 17.9497 | 0.791728 | ||||||||
\(515\) | −14.9328 | + | 25.8644i | −0.658019 | + | 1.13972i | ||||
\(516\) | −5.97286 | + | 9.97385i | −0.262940 | + | 0.439074i | ||||
\(517\) | −2.18438 | − | 1.26115i | −0.0960688 | − | 0.0554654i | ||||
\(518\) | −13.0356 | + | 13.0522i | −0.572753 | + | 0.573480i | ||||
\(519\) | −8.79414 | − | 0.140507i | −0.386020 | − | 0.00616757i | ||||
\(520\) | −11.2386 | + | 3.76878i | −0.492846 | + | 0.165272i | ||||
\(521\) | 0.178115 | − | 0.308505i | 0.00780338 | − | 0.0135159i | −0.862097 | − | 0.506743i | \(-0.830849\pi\) |
0.869901 | + | 0.493227i | \(0.164183\pi\) | |||||||
\(522\) | −24.3563 | + | 13.0429i | −1.06605 | + | 0.570874i | ||||
\(523\) | − | 24.9103i | − | 1.08925i | −0.838679 | − | 0.544626i | \(-0.816672\pi\) | ||
0.838679 | − | 0.544626i | \(-0.183328\pi\) | |||||||
\(524\) | −1.45204 | − | 2.51500i | −0.0634326 | − | 0.109868i | ||||
\(525\) | 18.5307 | + | 19.1081i | 0.808745 | + | 0.833948i | ||||
\(526\) | −24.1161 | + | 13.9235i | −1.05151 | + | 0.607092i | ||||
\(527\) | −2.09742 | + | 3.63284i | −0.0913650 | + | 0.158249i | ||||
\(528\) | 1.84223 | − | 3.07626i | 0.0801726 | − | 0.133877i | ||||
\(529\) | 10.7440 | 0.467131 | ||||||||
\(530\) | 19.2029 | 0.834122 | ||||||||
\(531\) | −25.0017 | − | 15.5203i | −1.08498 | − | 0.673523i | ||||
\(532\) | −2.58291 | + | 0.693847i | −0.111984 | + | 0.0300821i | ||||
\(533\) | 26.6001 | + | 23.5020i | 1.15218 | + | 1.01798i | ||||
\(534\) | −11.5321 | + | 6.41466i | −0.499044 | + | 0.277589i | ||||
\(535\) | 6.18650 | + | 10.7153i | 0.267466 | + | 0.463264i | ||||
\(536\) | 10.2316 | − | 5.90721i | 0.441937 | − | 0.255153i | ||||
\(537\) | −17.4055 | − | 10.4233i | −0.751103 | − | 0.449799i | ||||
\(538\) | 28.3069 | 1.22040 | ||||||||
\(539\) | 12.5407 | − | 7.26163i | 0.540167 | − | 0.312780i | ||||
\(540\) | −15.1865 | + | 7.82290i | −0.653525 | + | 0.336644i | ||||
\(541\) | 17.5713 | − | 10.1448i | 0.755447 | − | 0.436158i | −0.0722115 | − | 0.997389i | \(-0.523006\pi\) |
0.827659 | + | 0.561232i | \(0.189672\pi\) | |||||||
\(542\) | −25.3037 | −1.08689 | ||||||||
\(543\) | 34.3190 | − | 19.0896i | 1.47277 | − | 0.819215i | ||||
\(544\) | −1.12362 | −0.0481748 | ||||||||
\(545\) | −9.26068 | −0.396684 | ||||||||
\(546\) | 7.58852 | − | 14.6770i | 0.324759 | − | 0.628118i | ||||
\(547\) | −18.3443 | −0.784344 | −0.392172 | − | 0.919892i | \(-0.628276\pi\) | ||||
−0.392172 | + | 0.919892i | \(0.628276\pi\) | |||||||
\(548\) | −21.1790 | −0.904724 | ||||||||
\(549\) | 0.639987 | − | 0.342716i | 0.0273140 | − | 0.0146268i | ||||
\(550\) | 12.0247 | 0.512736 | ||||||||
\(551\) | 8.06235 | − | 4.65480i | 0.343468 | − | 0.198301i | ||||
\(552\) | −5.29905 | + | 2.94755i | −0.225542 | + | 0.125456i | ||||
\(553\) | 3.40176 | − | 12.7279i | 0.144658 | − | 0.541243i | ||||
\(554\) | 13.0935 | 0.556290 | ||||||||
\(555\) | 20.3979 | − | 34.0618i | 0.865844 | − | 1.44584i | ||||
\(556\) | 17.6205 | − | 10.1732i | 0.747274 | − | 0.431439i | ||||
\(557\) | −6.08906 | − | 10.5466i | −0.258002 | − | 0.446872i | 0.707705 | − | 0.706508i | \(-0.249731\pi\) |
−0.965707 | + | 0.259636i | \(0.916397\pi\) | |||||||
\(558\) | 5.28726 | + | 9.87340i | 0.223828 | + | 0.417975i | ||||
\(559\) | 7.69432 | + | 22.9447i | 0.325435 | + | 0.970457i | ||||
\(560\) | 8.40328 | + | 2.24594i | 0.355103 | + | 0.0949082i | ||||
\(561\) | 2.06996 | − | 3.45655i | 0.0873939 | − | 0.145936i | ||||
\(562\) | −16.5616 | −0.698608 | ||||||||
\(563\) | 11.3717 | 0.479262 | 0.239631 | − | 0.970864i | \(-0.422974\pi\) | ||||
0.239631 | + | 0.970864i | \(0.422974\pi\) | |||||||
\(564\) | 1.81049 | + | 1.08421i | 0.0762353 | + | 0.0456536i | ||||
\(565\) | 8.68905 | − | 15.0499i | 0.365551 | − | 0.633153i | ||||
\(566\) | 15.9278 | − | 9.19594i | 0.669497 | − | 0.386534i | ||||
\(567\) | 7.60485 | − | 22.5647i | 0.319374 | − | 0.947629i | ||||
\(568\) | −3.94585 | − | 6.83441i | −0.165564 | − | 0.286766i | ||||
\(569\) | 24.0497i | 1.00822i | 0.863641 | + | 0.504108i | \(0.168179\pi\) | ||||
−0.863641 | + | 0.504108i | \(0.831821\pi\) | |||||||
\(570\) | 5.03034 | − | 2.79808i | 0.210698 | − | 0.117199i | ||||
\(571\) | 3.64194 | − | 6.30802i | 0.152410 | − | 0.263983i | −0.779703 | − | 0.626150i | \(-0.784630\pi\) |
0.932113 | + | 0.362167i | \(0.117963\pi\) | |||||||
\(572\) | −2.37318 | − | 7.07690i | −0.0992277 | − | 0.295900i | ||||
\(573\) | −0.715414 | + | 44.7768i | −0.0298868 | + | 1.87058i | ||||
\(574\) | −6.75725 | − | 25.1545i | −0.282042 | − | 1.04993i | ||||
\(575\) | −17.6103 | − | 10.1673i | −0.734401 | − | 0.424007i | ||||
\(576\) | −1.58223 | + | 2.54883i | −0.0659264 | + | 0.106201i | ||||
\(577\) | −2.11186 | + | 3.65785i | −0.0879179 | + | 0.152278i | −0.906631 | − | 0.421925i | \(-0.861355\pi\) |
0.818713 | + | 0.574203i | \(0.194688\pi\) | |||||||
\(578\) | 15.7375 | 0.654593 | ||||||||
\(579\) | 32.4087 | + | 19.4080i | 1.34686 | + | 0.806570i | ||||
\(580\) | −30.2777 | −1.25721 | ||||||||
\(581\) | −1.86945 | + | 1.87183i | −0.0775581 | + | 0.0776566i | ||||
\(582\) | −5.72420 | + | 9.55863i | −0.237276 | + | 0.396218i | ||||
\(583\) | 12.0920i | 0.500799i | ||||||||
\(584\) | −0.878160 | + | 1.52102i | −0.0363385 | + | 0.0629402i | ||||
\(585\) | −8.17615 | + | 34.6084i | −0.338042 | + | 1.43088i | ||||
\(586\) | −7.37759 | + | 4.25945i | −0.304765 | + | 0.175956i | ||||
\(587\) | 39.5103 | + | 22.8113i | 1.63077 | + | 0.941523i | 0.983857 | + | 0.178954i | \(0.0572714\pi\) |
0.646908 | + | 0.762568i | \(0.276062\pi\) | |||||||
\(588\) | −10.5880 | + | 5.90711i | −0.436642 | + | 0.243605i | ||||
\(589\) | −1.88693 | − | 3.26827i | −0.0777498 | − | 0.134667i | ||||
\(590\) | −16.1243 | − | 27.9281i | −0.663827 | − | 1.14978i | ||||
\(591\) | −12.1583 | − | 0.194257i | −0.500126 | − | 0.00799068i | ||||
\(592\) | − | 6.97226i | − | 0.286558i | ||||||
\(593\) | 21.1653 | − | 12.2198i | 0.869154 | − | 0.501807i | 0.00208732 | − | 0.999998i | \(-0.499336\pi\) |
0.867067 | + | 0.498191i | \(0.166002\pi\) | |||||||
\(594\) | −4.92604 | − | 9.56289i | −0.202118 | − | 0.392370i | ||||
\(595\) | 9.44210 | + | 2.52358i | 0.387088 | + | 0.103457i | ||||
\(596\) | −6.62502 | + | 11.4749i | −0.271371 | + | 0.470029i | ||||
\(597\) | 22.8244 | − | 12.6959i | 0.934139 | − | 0.519607i | ||||
\(598\) | −2.50822 | + | 12.3708i | −0.102569 | + | 0.505879i | ||||
\(599\) | −11.4214 | − | 6.59416i | −0.466667 | − | 0.269430i | 0.248177 | − | 0.968715i | \(-0.420169\pi\) |
−0.714843 | + | 0.699285i | \(0.753502\pi\) | |||||||
\(600\) | −10.0593 | − | 0.160721i | −0.410669 | − | 0.00656140i | ||||
\(601\) | 34.6176 | + | 19.9865i | 1.41208 | + | 0.815266i | 0.995584 | − | 0.0938714i | \(-0.0299242\pi\) |
0.416497 | + | 0.909137i | \(0.363258\pi\) | |||||||
\(602\) | 4.58529 | − | 17.1561i | 0.186883 | − | 0.699230i | ||||
\(603\) | 1.13229 | − | 35.4252i | 0.0461103 | − | 1.44262i | ||||
\(604\) | −15.0137 | − | 8.66818i | −0.610900 | − | 0.352703i | ||||
\(605\) | − | 22.0740i | − | 0.897436i | ||||||
\(606\) | −17.1961 | + | 28.7151i | −0.698543 | + | 1.16647i | ||||
\(607\) | −17.4747 | − | 10.0890i | −0.709275 | − | 0.409500i | 0.101518 | − | 0.994834i | \(-0.467630\pi\) |
−0.810793 | + | 0.585334i | \(0.800964\pi\) | |||||||
\(608\) | 0.505430 | − | 0.875431i | 0.0204979 | − | 0.0355034i | ||||
\(609\) | 30.2968 | − | 29.3811i | 1.22769 | − | 1.19058i | ||||
\(610\) | 0.795576 | 0.0322119 | ||||||||
\(611\) | 4.16500 | − | 1.39670i | 0.168498 | − | 0.0565044i | ||||
\(612\) | −1.77783 | + | 2.86392i | −0.0718646 | + | 0.115767i | ||||
\(613\) | 21.6006 | − | 12.4711i | 0.872440 | − | 0.503703i | 0.00428146 | − | 0.999991i | \(-0.498637\pi\) |
0.868158 | + | 0.496288i | \(0.165304\pi\) | |||||||
\(614\) | 21.3161 | 0.860249 | ||||||||
\(615\) | 27.2500 | + | 48.9895i | 1.09883 | + | 1.97545i | ||||
\(616\) | −1.41426 | + | 5.29150i | −0.0569820 | + | 0.213201i | ||||
\(617\) | −1.22499 | − | 2.12175i | −0.0493164 | − | 0.0854185i | 0.840313 | − | 0.542101i | \(-0.182371\pi\) |
−0.889630 | + | 0.456682i | \(0.849038\pi\) | |||||||
\(618\) | 13.4990 | + | 8.08388i | 0.543008 | + | 0.325181i | ||||
\(619\) | −11.9145 | + | 20.6365i | −0.478883 | + | 0.829449i | −0.999707 | − | 0.0242147i | \(-0.992291\pi\) |
0.520824 | + | 0.853664i | \(0.325625\pi\) | |||||||
\(620\) | 12.2738i | 0.492926i | ||||||||
\(621\) | −0.871522 | + | 18.1701i | −0.0349730 | + | 0.729140i | ||||
\(622\) | 7.40693 | − | 12.8292i | 0.296991 | − | 0.514403i | ||||
\(623\) | 14.2444 | − | 14.2625i | 0.570690 | − | 0.571415i | ||||
\(624\) | 1.89070 | + | 5.95191i | 0.0756885 | + | 0.238267i | ||||
\(625\) | 10.1520 | + | 17.5837i | 0.406079 | + | 0.703350i | ||||
\(626\) | 22.7031 | − | 13.1077i | 0.907399 | − | 0.523887i | ||||
\(627\) | 1.76194 | + | 3.16758i | 0.0703651 | + | 0.126501i | ||||
\(628\) | 12.2223 | + | 7.05652i | 0.487721 | + | 0.281586i | ||||
\(629\) | − | 7.83418i | − | 0.312369i | ||||||
\(630\) | 19.0205 | − | 17.8649i | 0.757794 | − | 0.711756i | ||||
\(631\) | −17.5516 | + | 10.1334i | −0.698718 | + | 0.403405i | −0.806870 | − | 0.590729i | \(-0.798840\pi\) |
0.108152 | + | 0.994134i | \(0.465507\pi\) | |||||||
\(632\) | 2.48977 | + | 4.31240i | 0.0990376 | + | 0.171538i | ||||
\(633\) | −35.3645 | − | 0.565030i | −1.40561 | − | 0.0224579i | ||||
\(634\) | −9.80532 | − | 16.9833i | −0.389419 | − | 0.674494i | ||||
\(635\) | − | 61.8129i | − | 2.45297i | ||||||
\(636\) | 0.161620 | − | 10.1156i | 0.00640865 | − | 0.401109i | ||||
\(637\) | −4.98382 | + | 24.7419i | −0.197466 | + | 0.980310i | ||||
\(638\) | − | 19.0657i | − | 0.754818i | ||||||
\(639\) | −23.6630 | − | 0.756337i | −0.936095 | − | 0.0299202i | ||||
\(640\) | −2.84717 | + | 1.64381i | −0.112544 | + | 0.0649774i | ||||
\(641\) | 33.2647i | 1.31388i | 0.753945 | + | 0.656938i | \(0.228149\pi\) | ||||
−0.753945 | + | 0.656938i | \(0.771851\pi\) | |||||||
\(642\) | 5.69661 | − | 3.16869i | 0.224827 | − | 0.125058i | ||||
\(643\) | −3.65734 | − | 6.33469i | −0.144231 | − | 0.249816i | 0.784855 | − | 0.619680i | \(-0.212738\pi\) |
−0.929086 | + | 0.369864i | \(0.879404\pi\) | |||||||
\(644\) | 6.54534 | − | 6.55365i | 0.257923 | − | 0.258250i | ||||
\(645\) | −0.610581 | + | 38.2155i | −0.0240416 | + | 1.50473i | ||||
\(646\) | 0.567912 | − | 0.983652i | 0.0223442 | − | 0.0387013i | ||||
\(647\) | −16.0186 | − | 27.7451i | −0.629757 | − | 1.09077i | −0.987600 | − | 0.156990i | \(-0.949821\pi\) |
0.357843 | − | 0.933782i | \(-0.383512\pi\) | |||||||
\(648\) | 3.99307 | + | 8.06569i | 0.156863 | + | 0.316850i | ||||
\(649\) | 17.5862 | − | 10.1534i | 0.690319 | − | 0.398556i | ||||
\(650\) | −13.8666 | + | 15.6945i | −0.543892 | + | 0.615590i | ||||
\(651\) | −11.9103 | − | 12.2815i | −0.466803 | − | 0.481350i | ||||
\(652\) | −8.93321 | − | 5.15759i | −0.349851 | − | 0.201987i | ||||
\(653\) | 33.6453i | 1.31664i | 0.752737 | + | 0.658321i | \(0.228733\pi\) | ||||
−0.752737 | + | 0.658321i | \(0.771267\pi\) | |||||||
\(654\) | −0.0779417 | + | 4.87827i | −0.00304776 | + | 0.190755i | ||||
\(655\) | −8.26839 | − | 4.77376i | −0.323073 | − | 0.186526i | ||||
\(656\) | 8.52566 | + | 4.92229i | 0.332871 | + | 0.192183i | ||||
\(657\) | 2.48736 | + | 4.64489i | 0.0970412 | + | 0.181214i | ||||
\(658\) | −3.11423 | − | 0.832338i | −0.121405 | − | 0.0324479i | ||||
\(659\) | −21.1966 | + | 12.2379i | −0.825704 | + | 0.476720i | −0.852379 | − | 0.522924i | \(-0.824841\pi\) |
0.0266755 | + | 0.999644i | \(0.491508\pi\) | |||||||
\(660\) | 0.188323 | − | 11.7869i | 0.00733048 | − | 0.458805i | ||||
\(661\) | 2.77785 | + | 4.81137i | 0.108046 | + | 0.187141i | 0.914979 | − | 0.403503i | \(-0.132207\pi\) |
−0.806933 | + | 0.590643i | \(0.798874\pi\) | |||||||
\(662\) | −22.5837 | − | 13.0387i | −0.877739 | − | 0.506763i | ||||
\(663\) | 2.12443 | + | 6.68769i | 0.0825060 | + | 0.259728i | ||||
\(664\) | − | 0.999900i | − | 0.0388037i | ||||||
\(665\) | −6.21343 | + | 6.22133i | −0.240947 | + | 0.241253i | ||||
\(666\) | −17.7711 | − | 11.0317i | −0.688617 | − | 0.427472i | ||||
\(667\) | −16.1207 | + | 27.9219i | −0.624196 | + | 1.08114i | ||||
\(668\) | −12.1099 | − | 6.99167i | −0.468547 | − | 0.270516i | ||||
\(669\) | 4.75650 | + | 0.0759962i | 0.183897 | + | 0.00293818i | ||||
\(670\) | 19.4207 | − | 33.6376i | 0.750287 | − | 1.29953i | ||||
\(671\) | 0.500970i | 0.0193397i | ||||||||
\(672\) | 1.25382 | − | 4.40771i | 0.0483673 | − | 0.170031i | ||||
\(673\) | 9.31475 | − | 16.1336i | 0.359057 | − | 0.621905i | −0.628746 | − | 0.777610i | \(-0.716432\pi\) |
0.987804 | + | 0.155705i | \(0.0497649\pi\) | |||||||
\(674\) | 13.5184 | 0.520709 | ||||||||
\(675\) | −16.3258 | + | 25.3851i | −0.628381 | + | 0.977075i | ||||
\(676\) | 11.9734 | + | 5.06344i | 0.460514 | + | 0.194748i | ||||
\(677\) | −13.4512 | − | 23.2982i | −0.516972 | − | 0.895422i | −0.999806 | − | 0.0197102i | \(-0.993726\pi\) |
0.482833 | − | 0.875712i | \(-0.339608\pi\) | |||||||
\(678\) | −7.85473 | − | 4.70382i | −0.301659 | − | 0.180649i | ||||
\(679\) | 4.39440 | − | 16.4419i | 0.168642 | − | 0.630981i | ||||
\(680\) | −3.19914 | + | 1.84702i | −0.122681 | + | 0.0708301i | ||||
\(681\) | −13.5925 | + | 7.56073i | −0.520867 | + | 0.289728i | ||||
\(682\) | −7.72873 | −0.295948 | ||||||||
\(683\) | −40.7673 | −1.55992 | −0.779958 | − | 0.625831i | \(-0.784760\pi\) | ||||
−0.779958 | + | 0.625831i | \(0.784760\pi\) | |||||||
\(684\) | −1.43162 | − | 2.67339i | −0.0547392 | − | 0.102220i | ||||
\(685\) | −60.3003 | + | 34.8144i | −2.30395 | + | 1.33019i | ||||
\(686\) | 13.0708 | − | 13.1207i | 0.499047 | − | 0.500951i | ||||
\(687\) | −14.6563 | + | 24.4740i | −0.559172 | + | 0.933740i | ||||
\(688\) | 3.35600 | + | 5.81276i | 0.127946 | + | 0.221609i | ||||
\(689\) | −15.7823 | − | 13.9441i | −0.601258 | − | 0.531230i | ||||
\(690\) | −10.2420 | + | 17.1028i | −0.389908 | + | 0.651093i | ||||
\(691\) | 13.7971 | 0.524865 | 0.262432 | − | 0.964950i | \(-0.415475\pi\) | ||||
0.262432 | + | 0.964950i | \(0.415475\pi\) | |||||||
\(692\) | −2.53897 | + | 4.39763i | −0.0965173 | + | 0.167173i | ||||
\(693\) | 11.2495 | + | 11.9771i | 0.427332 | + | 0.454972i | ||||
\(694\) | 33.5765i | 1.27454i | ||||||||
\(695\) | 33.4456 | − | 57.9295i | 1.26866 | − | 2.19739i | ||||
\(696\) | −0.254829 | + | 15.9494i | −0.00965928 | + | 0.604562i | ||||
\(697\) | 9.57961 | + | 5.53079i | 0.362854 | + | 0.209494i | ||||
\(698\) | −11.8845 | + | 20.5845i | −0.449833 | + | 0.779134i | ||||
\(699\) | 8.22228 | + | 4.92393i | 0.310995 | + | 0.186240i | ||||
\(700\) | 14.8416 | − | 3.98690i | 0.560961 | − | 0.150691i | ||||
\(701\) | 9.30649i | 0.351501i | 0.984435 | + | 0.175751i | \(0.0562352\pi\) | ||||
−0.984435 | + | 0.175751i | \(0.943765\pi\) | |||||||
\(702\) | 18.1619 | + | 4.59825i | 0.685478 | + | 0.173550i | ||||
\(703\) | 6.10373 | + | 3.52399i | 0.230207 | + | 0.132910i | ||||
\(704\) | −1.03510 | − | 1.79285i | −0.0390118 | − | 0.0675704i | ||||
\(705\) | 6.93701 | + | 0.110835i | 0.261263 | + | 0.00417428i | ||||
\(706\) | −9.28444 | + | 5.36037i | −0.349425 | + | 0.201740i | ||||
\(707\) | 13.2012 | − | 49.3930i | 0.496483 | − | 1.85762i | ||||
\(708\) | −14.8475 | + | 8.25878i | −0.558002 | + | 0.310384i | ||||
\(709\) | −2.68396 | − | 1.54958i | −0.100798 | − | 0.0581958i | 0.448754 | − | 0.893656i | \(-0.351868\pi\) |
−0.549552 | + | 0.835460i | \(0.685201\pi\) | |||||||
\(710\) | −22.4690 | − | 12.9725i | −0.843246 | − | 0.486848i | ||||
\(711\) | 14.9310 | + | 0.477236i | 0.559955 | + | 0.0178978i | ||||
\(712\) | 7.61879i | 0.285526i | ||||||||
\(713\) | 11.3188 | + | 6.53491i | 0.423892 | + | 0.244734i | ||||
\(714\) | 1.40882 | − | 4.95260i | 0.0527238 | − | 0.185346i | ||||
\(715\) | −18.3899 | − | 16.2481i | −0.687745 | − | 0.607643i | ||||
\(716\) | −10.1439 | + | 5.85660i | −0.379097 | + | 0.218871i | ||||
\(717\) | −3.64984 | − | 6.56161i | −0.136306 | − | 0.245048i | ||||
\(718\) | −7.26878 | − | 12.5899i | −0.271268 | − | 0.469851i | ||||
\(719\) | −5.88702 | + | 10.1966i | −0.219549 | + | 0.380270i | −0.954670 | − | 0.297666i | \(-0.903792\pi\) |
0.735121 | + | 0.677936i | \(0.237125\pi\) | |||||||
\(720\) | −0.315084 | + | 9.85784i | −0.0117425 | + | 0.367380i | ||||
\(721\) | −23.2197 | − | 6.20590i | −0.864746 | − | 0.231120i | ||||
\(722\) | −8.98908 | − | 15.5695i | −0.334539 | − | 0.579438i | ||||
\(723\) | 3.54207 | + | 6.36786i | 0.131731 | + | 0.236823i | ||||
\(724\) | − | 22.6731i | − | 0.842638i | ||||||
\(725\) | −46.3269 | + | 26.7468i | −1.72054 | + | 0.993353i | ||||
\(726\) | −11.6280 | − | 0.185784i | −0.431554 | − | 0.00689509i | ||||
\(727\) | 13.8729i | 0.514518i | 0.966342 | + | 0.257259i | \(0.0828194\pi\) | ||||
−0.966342 | + | 0.257259i | \(0.917181\pi\) | |||||||
\(728\) | −5.27553 | − | 7.94788i | −0.195524 | − | 0.294568i | ||||
\(729\) | 26.8761 | + | 2.58415i | 0.995409 | + | 0.0957091i | ||||
\(730\) | 5.77412i | 0.213710i | ||||||||
\(731\) | 3.77087 | + | 6.53134i | 0.139471 | + | 0.241570i | ||||
\(732\) | 0.00669590 | − | 0.419088i | 0.000247488 | − | 0.0154899i | ||||
\(733\) | 21.6003 | + | 37.4129i | 0.797827 | + | 1.38188i | 0.921029 | + | 0.389495i | \(0.127350\pi\) |
−0.123202 | + | 0.992382i | \(0.539316\pi\) | |||||||
\(734\) | 15.1524 | − | 8.74823i | 0.559284 | − | 0.322903i | ||||
\(735\) | −20.4357 | + | 34.2232i | −0.753781 | + | 1.26234i | ||||
\(736\) | 3.50085i | 0.129043i | ||||||||
\(737\) | 21.1814 | + | 12.2291i | 0.780228 | + | 0.450465i | ||||
\(738\) | 26.0357 | − | 13.9422i | 0.958387 | − | 0.513221i | ||||
\(739\) | −29.5969 | + | 17.0878i | −1.08874 | + | 0.628585i | −0.933241 | − | 0.359251i | \(-0.883032\pi\) |
−0.155500 | + | 0.987836i | \(0.549699\pi\) | |||||||
\(740\) | −11.4611 | − | 19.8512i | −0.421318 | − | 0.729744i | ||||
\(741\) | −6.16610 | − | 1.35310i | −0.226517 | − | 0.0497074i | ||||
\(742\) | 4.00920 | + | 14.9247i | 0.147182 | + | 0.547901i | ||||
\(743\) | 15.6321 | − | 27.0755i | 0.573484 | − | 0.993304i | −0.422720 | − | 0.906260i | \(-0.638925\pi\) |
0.996204 | − | 0.0870439i | \(-0.0277420\pi\) | |||||||
\(744\) | 6.46548 | + | 0.103301i | 0.237036 | + | 0.00378720i | ||||
\(745\) | 43.5611i | 1.59596i | ||||||||
\(746\) | −5.93324 | + | 10.2767i | −0.217231 | + | 0.376256i | ||||
\(747\) | −2.54858 | − | 1.58208i | −0.0932475 | − | 0.0578851i | ||||
\(748\) | −1.16306 | − | 2.01448i | −0.0425257 | − | 0.0736567i | ||||
\(749\) | −7.03641 | + | 7.04534i | −0.257105 | + | 0.257431i | ||||
\(750\) | −4.02323 | + | 2.23789i | −0.146908 | + | 0.0817162i | ||||
\(751\) | 2.10325 | 0.0767488 | 0.0383744 | − | 0.999263i | \(-0.487782\pi\) | ||||
0.0383744 | + | 0.999263i | \(0.487782\pi\) | |||||||
\(752\) | 1.05515 | − | 0.609193i | 0.0384775 | − | 0.0222150i | ||||
\(753\) | 17.4268 | − | 29.1004i | 0.635068 | − | 1.06048i | ||||
\(754\) | 24.8843 | + | 21.9860i | 0.906233 | + | 0.800684i | ||||
\(755\) | −56.9955 | −2.07428 | ||||||||
\(756\) | −9.25067 | − | 10.1698i | −0.336444 | − | 0.369873i | ||||
\(757\) | 16.8638 | − | 29.2089i | 0.612924 | − | 1.06162i | −0.377821 | − | 0.925879i | \(-0.623326\pi\) |
0.990745 | − | 0.135737i | \(-0.0433402\pi\) | |||||||
\(758\) | −10.9141 | − | 6.30127i | −0.396419 | − | 0.228872i | ||||
\(759\) | −10.7696 | − | 6.44936i | −0.390910 | − | 0.234097i | ||||
\(760\) | − | 3.32333i | − | 0.120550i | ||||||
\(761\) | 16.6410 | + | 9.60768i | 0.603235 | + | 0.348278i | 0.770313 | − | 0.637666i | \(-0.220100\pi\) |
−0.167078 | + | 0.985944i | \(0.553433\pi\) | |||||||
\(762\) | −32.5613 | − | 0.520243i | −1.17957 | − | 0.0188464i | ||||
\(763\) | −1.93345 | − | 7.19746i | −0.0699956 | − | 0.260566i | ||||
\(764\) | 22.3913 | + | 12.9276i | 0.810087 | + | 0.467704i | ||||
\(765\) | −0.354035 | + | 11.0765i | −0.0128002 | + | 0.400471i | ||||
\(766\) | 0.920885 | + | 0.531673i | 0.0332729 | + | 0.0192101i | ||||
\(767\) | −7.02782 | + | 34.6619i | −0.253760 | + | 1.25157i | ||||
\(768\) | 0.841952 | + | 1.51364i | 0.0303813 | + | 0.0546189i | ||||
\(769\) | 19.1381 | − | 33.1482i | 0.690139 | − | 1.19536i | −0.281653 | − | 0.959516i | \(-0.590883\pi\) |
0.971792 | − | 0.235840i | \(-0.0757840\pi\) | |||||||
\(770\) | 4.67162 | + | 17.3906i | 0.168353 | + | 0.626712i | ||||
\(771\) | −15.1128 | − | 27.1695i | −0.544274 | − | 0.978485i | ||||
\(772\) | 18.8878 | − | 10.9049i | 0.679787 | − | 0.392475i | ||||
\(773\) | 2.52422i | 0.0907898i | 0.998969 | + | 0.0453949i | \(0.0144546\pi\) | ||||
−0.998969 | + | 0.0453949i | \(0.985545\pi\) | |||||||
\(774\) | 20.1257 | + | 0.643275i | 0.723404 | + | 0.0231220i | ||||
\(775\) | 10.8425 | + | 18.7797i | 0.389473 | + | 0.674587i | ||||
\(776\) | 3.21628 | + | 5.57077i | 0.115458 | + | 0.199979i | ||||
\(777\) | 30.7317 | + | 8.74198i | 1.10249 | + | 0.313617i | ||||
\(778\) | 2.28039 | + | 1.31658i | 0.0817558 | + | 0.0472018i | ||||
\(779\) | −8.61825 | + | 4.97575i | −0.308781 | + | 0.178275i | ||||
\(780\) | 15.1670 | + | 13.8381i | 0.543064 | + | 0.495485i | ||||
\(781\) | 8.16870 | − | 14.1486i | 0.292299 | − | 0.506277i | ||||
\(782\) | 3.93363i | 0.140666i | ||||||||
\(783\) | 40.2492 | + | 25.8852i | 1.43839 | + | 0.925063i | ||||
\(784\) | 0.00888497 | + | 6.99999i | 0.000317320 | + | 0.250000i | ||||
\(785\) | 46.3984 | 1.65603 | ||||||||
\(786\) | −2.58427 | + | 4.31538i | −0.0921780 | + | 0.153925i | ||||
\(787\) | −1.76492 | −0.0629126 | −0.0314563 | − | 0.999505i | \(-0.510014\pi\) | ||||
−0.0314563 | + | 0.999505i | \(0.510014\pi\) | |||||||
\(788\) | −3.51025 | + | 6.07993i | −0.125047 | + | 0.216588i | ||||
\(789\) | 41.3798 | + | 24.7804i | 1.47316 | + | 0.882204i | ||||
\(790\) | 14.1776 | + | 8.18542i | 0.504415 | + | 0.291224i | ||||
\(791\) | 13.5110 | + | 3.61107i | 0.480395 | + | 0.128395i | ||||
\(792\) | −6.20743 | − | 0.198407i | −0.220572 | − | 0.00705009i | ||||
\(793\) | −0.653860 | − | 0.577705i | −0.0232193 | − | 0.0205149i | ||||
\(794\) | 4.27357 | − | 7.40204i | 0.151663 | − | 0.262689i | ||||
\(795\) | −16.1679 | − | 29.0664i | −0.573418 | − | 1.03088i | ||||
\(796\) | − | 15.0791i | − | 0.534464i | ||||||
\(797\) | −5.40206 | − | 9.35664i | −0.191351 | − | 0.331429i | 0.754347 | − | 0.656476i | \(-0.227953\pi\) |
−0.945698 | + | 0.325046i | \(0.894620\pi\) | |||||||
\(798\) | 3.22493 | + | 3.32543i | 0.114161 | + | 0.117719i | ||||
\(799\) | 1.18559 | − | 0.684502i | 0.0419432 | − | 0.0242159i | ||||
\(800\) | −2.90424 | + | 5.03029i | −0.102680 | + | 0.177848i | ||||
\(801\) | 19.4190 | + | 12.0547i | 0.686137 | + | 0.425932i | ||||
\(802\) | 15.5754 | 0.549985 | ||||||||
\(803\) | −3.63594 | −0.128309 | ||||||||
\(804\) | −17.5559 | − | 10.5134i | −0.619149 | − | 0.370779i | ||||
\(805\) | 7.86270 | − | 29.4187i | 0.277124 | − | 1.03687i | ||||
\(806\) | 8.91255 | − | 10.0874i | 0.313931 | − | 0.355315i | ||||
\(807\) | −23.8330 | − | 42.8465i | −0.838963 | − | 1.50827i | ||||
\(808\) | 9.66204 | + | 16.7351i | 0.339909 | + | 0.588740i | ||||
\(809\) | 14.3880 | − | 8.30689i | 0.505854 | − | 0.292055i | −0.225274 | − | 0.974295i | \(-0.572328\pi\) |
0.731128 | + | 0.682241i | \(0.238994\pi\) | |||||||
\(810\) | 24.6274 | + | 16.4005i | 0.865320 | + | 0.576255i | ||||
\(811\) | −7.44633 | −0.261476 | −0.130738 | − | 0.991417i | \(-0.541735\pi\) | ||||
−0.130738 | + | 0.991417i | \(0.541735\pi\) | |||||||
\(812\) | −6.32139 | − | 23.5320i | −0.221837 | − | 0.825811i | ||||
\(813\) | 21.3045 | + | 38.3008i | 0.747182 | + | 1.34327i | ||||
\(814\) | 12.5002 | − | 7.21699i | 0.438132 | − | 0.252955i | ||||
\(815\) | −33.9124 | −1.18790 | ||||||||
\(816\) | 0.946035 | + | 1.70076i | 0.0331178 | + | 0.0595386i | ||||
\(817\) | −6.78489 | −0.237373 | ||||||||
\(818\) | −10.8097 | −0.377951 | ||||||||
\(819\) | −28.6049 | + | 0.871013i | −0.999537 | + | 0.0304357i | ||||
\(820\) | 32.3653 | 1.13025 | ||||||||
\(821\) | 3.42773 | 0.119629 | 0.0598143 | − | 0.998210i | \(-0.480949\pi\) | ||||
0.0598143 | + | 0.998210i | \(0.480949\pi\) | |||||||
\(822\) | 17.8317 | + | 32.0575i | 0.621953 | + | 1.11813i | ||||
\(823\) | 39.6380 | 1.38169 | 0.690847 | − | 0.723001i | \(-0.257238\pi\) | ||||
0.690847 | + | 0.723001i | \(0.257238\pi\) | |||||||
\(824\) | 7.86720 | − | 4.54213i | 0.274067 | − | 0.158233i | ||||
\(825\) | −10.1242 | − | 18.2011i | −0.352481 | − | 0.633682i | ||||
\(826\) | 18.3395 | − | 18.3628i | 0.638112 | − | 0.638923i | ||||
\(827\) | −0.211856 | −0.00736695 | −0.00368347 | − | 0.999993i | \(-0.501172\pi\) | ||||
−0.00368347 | + | 0.999993i | \(0.501172\pi\) | |||||||
\(828\) | 8.92308 | + | 5.53917i | 0.310099 | + | 0.192499i | ||||
\(829\) | 27.2898 | − | 15.7558i | 0.947815 | − | 0.547221i | 0.0554133 | − | 0.998464i | \(-0.482352\pi\) |
0.892401 | + | 0.451242i | \(0.149019\pi\) | |||||||
\(830\) | −1.64365 | − | 2.84688i | −0.0570519 | − | 0.0988168i | ||||
\(831\) | −11.0241 | − | 19.8189i | −0.382422 | − | 0.687510i | ||||
\(832\) | 3.53365 | + | 0.716460i | 0.122507 | + | 0.0248388i | ||||
\(833\) | 0.00998334 | + | 7.86534i | 0.000345902 | + | 0.272518i | ||||
\(834\) | −30.2341 | − | 18.1058i | −1.04692 | − | 0.626952i | ||||
\(835\) | −45.9720 | −1.59093 | ||||||||
\(836\) | 2.09268 | 0.0723770 | ||||||||
\(837\) | 10.4932 | − | 16.3160i | 0.362698 | − | 0.563962i | ||||
\(838\) | 7.13932 | − | 12.3657i | 0.246624 | − | 0.427165i | ||||
\(839\) | 13.7645 | − | 7.94694i | 0.475204 | − | 0.274359i | −0.243212 | − | 0.969973i | \(-0.578201\pi\) |
0.718416 | + | 0.695614i | \(0.244868\pi\) | |||||||
\(840\) | −3.67561 | − | 14.6105i | −0.126821 | − | 0.504112i | ||||
\(841\) | 27.9082 | + | 48.3384i | 0.962352 | + | 1.66684i | ||||
\(842\) | 31.1553i | 1.07368i | ||||||||
\(843\) | 13.9440 | + | 25.0683i | 0.480258 | + | 0.863398i | ||||
\(844\) | −10.2101 | + | 17.6845i | −0.351448 | + | 0.608725i | ||||
\(845\) | 42.4135 | − | 5.26553i | 1.45907 | − | 0.181140i | ||||
\(846\) | 0.116769 | − | 3.65329i | 0.00401462 | − | 0.125603i | ||||
\(847\) | 17.1561 | − | 4.60862i | 0.589489 | − | 0.158354i | ||||
\(848\) | −5.05843 | − | 2.92049i | −0.173707 | − | 0.100290i | ||||
\(849\) | −27.3298 | − | 16.3665i | −0.937958 | − | 0.561698i | ||||
\(850\) | −3.26326 | + | 5.65214i | −0.111929 | + | 0.193867i | ||||
\(851\) | −24.4089 | −0.836725 | ||||||||
\(852\) | −7.02265 | + | 11.7269i | −0.240592 | + | 0.401756i | ||||
\(853\) | −8.80214 | −0.301379 | −0.150690 | − | 0.988581i | \(-0.548149\pi\) | ||||
−0.150690 | + | 0.988581i | \(0.548149\pi\) | |||||||
\(854\) | 0.166101 | + | 0.618327i | 0.00568386 | + | 0.0211587i | ||||
\(855\) | −8.47061 | − | 5.25829i | −0.289689 | − | 0.179830i | ||||
\(856\) | − | 3.76351i | − | 0.128634i | ||||||
\(857\) | 2.96296 | − | 5.13199i | 0.101213 | − | 0.175305i | −0.810972 | − | 0.585085i | \(-0.801061\pi\) |
0.912185 | + | 0.409780i | \(0.134394\pi\) | |||||||
\(858\) | −8.71380 | + | 9.55056i | −0.297484 | + | 0.326051i | ||||
\(859\) | 21.0079 | − | 12.1289i | 0.716781 | − | 0.413834i | −0.0967860 | − | 0.995305i | \(-0.530856\pi\) |
0.813567 | + | 0.581472i | \(0.197523\pi\) | |||||||
\(860\) | 19.1102 | + | 11.0333i | 0.651652 | + | 0.376231i | ||||
\(861\) | −32.3857 | + | 31.4070i | −1.10370 | + | 1.07035i | ||||
\(862\) | −10.7951 | − | 18.6976i | −0.367682 | − | 0.636844i | ||||
\(863\) | −9.92236 | − | 17.1860i | −0.337761 | − | 0.585019i | 0.646250 | − | 0.763126i | \(-0.276336\pi\) |
−0.984011 | + | 0.178106i | \(0.943003\pi\) | |||||||
\(864\) | 5.19019 | + | 0.248945i | 0.176574 | + | 0.00846930i | ||||
\(865\) | 16.6944i | 0.567626i | ||||||||
\(866\) | −16.2009 | + | 9.35358i | −0.550528 | + | 0.317848i | ||||
\(867\) | −13.2502 | − | 23.8209i | −0.450000 | − | 0.809001i | ||||
\(868\) | −9.53925 | + | 2.56252i | −0.323783 | + | 0.0869777i | ||||
\(869\) | −5.15432 | + | 8.92754i | −0.174848 | + | 0.302846i | ||||
\(870\) | 25.4923 | + | 45.8296i | 0.864271 | + | 1.55377i | ||||
\(871\) | −40.3871 | + | 13.5435i | −1.36847 | + | 0.458904i | ||||
\(872\) | 2.43945 | + | 1.40841i | 0.0826101 | + | 0.0476949i | ||||
\(873\) | 19.2879 | + | 0.616494i | 0.652795 | + | 0.0208652i | ||||
\(874\) | −3.06476 | − | 1.76944i | −0.103667 | − | 0.0598521i | ||||
\(875\) | 4.96946 | − | 4.97578i | 0.167999 | − | 0.168212i | ||||
\(876\) | 3.04165 | + | 0.0485974i | 0.102768 | + | 0.00164195i | ||||
\(877\) | −7.64550 | − | 4.41413i | −0.258170 | − | 0.149055i | 0.365329 | − | 0.930878i | \(-0.380956\pi\) |
−0.623500 | + | 0.781824i | \(0.714290\pi\) | |||||||
\(878\) | − | 14.3709i | − | 0.484994i | ||||||
\(879\) | 12.6589 | + | 7.58078i | 0.426973 | + | 0.255693i | ||||
\(880\) | −5.89421 | − | 3.40302i | −0.198694 | − | 0.114716i | ||||
\(881\) | 9.51336 | − | 16.4776i | 0.320513 | − | 0.555145i | −0.660081 | − | 0.751195i | \(-0.729478\pi\) |
0.980594 | + | 0.196049i | \(0.0628113\pi\) | |||||||
\(882\) | 17.8559 | + | 11.0530i | 0.601238 | + | 0.372173i | ||||
\(883\) | −30.8587 | −1.03848 | −0.519239 | − | 0.854629i | \(-0.673785\pi\) | ||||
−0.519239 | + | 0.854629i | \(0.673785\pi\) | |||||||
\(884\) | 3.97048 | + | 0.805029i | 0.133542 | + | 0.0270761i | ||||
\(885\) | −28.6973 | + | 47.9206i | −0.964650 | + | 1.61083i | ||||
\(886\) | −1.21594 | + | 0.702023i | −0.0408503 | + | 0.0235849i | ||||
\(887\) | 13.1419 | 0.441262 | 0.220631 | − | 0.975357i | \(-0.429188\pi\) | ||||
0.220631 | + | 0.975357i | \(0.429188\pi\) | |||||||
\(888\) | −10.5535 | + | 5.87031i | −0.354153 | + | 0.196995i | ||||
\(889\) | 48.0414 | − | 12.9053i | 1.61126 | − | 0.432831i | ||||
\(890\) | 12.5239 | + | 21.6920i | 0.419801 | + | 0.727116i | ||||
\(891\) | −10.3273 | + | 15.5078i | −0.345978 | + | 0.519530i | ||||
\(892\) | 1.37326 | − | 2.37855i | 0.0459801 | − | 0.0796399i | ||||
\(893\) | 1.23162i | 0.0412145i | ||||||||
\(894\) | 22.9468 | + | 0.366629i | 0.767456 | + | 0.0122619i | ||||
\(895\) | −19.2543 | + | 33.3494i | −0.643601 | + | 1.11475i | ||||
\(896\) | −1.87202 | − | 1.86964i | −0.0625397 | − | 0.0624603i | ||||
\(897\) | 20.8368 | − | 6.61906i | 0.695720 | − | 0.221004i | ||||
\(898\) | −11.0266 | − | 19.0987i | −0.367963 | − | 0.637331i | ||||
\(899\) | 29.7760 | − | 17.1912i | 0.993085 | − | 0.573358i | ||||
\(900\) | 8.22617 | + | 15.3615i | 0.274206 | + | 0.512050i | ||||
\(901\) | −5.68376 | − | 3.28152i | −0.189354 | − | 0.109323i | ||||
\(902\) | 20.3803i | 0.678589i | ||||||||
\(903\) | −29.8288 | + | 7.50410i | −0.992640 | + | 0.249721i | ||||
\(904\) | −4.57774 | + | 2.64296i | −0.152253 | + | 0.0879035i | ||||
\(905\) | −37.2703 | − | 64.5540i | −1.23891 | − | 2.14585i | ||||
\(906\) | −0.479698 | + | 30.0236i | −0.0159369 | + | 0.997468i | ||||
\(907\) | −24.3534 | − | 42.1813i | −0.808640 | − | 1.40061i | −0.913806 | − | 0.406151i | \(-0.866871\pi\) |
0.105165 | − | 0.994455i | \(-0.466463\pi\) | |||||||
\(908\) | 8.98000i | 0.298012i | ||||||||
\(909\) | 57.9427 | + | 1.85201i | 1.92184 | + | 0.0614273i | ||||
\(910\) | −28.0851 | − | 13.9570i | −0.931013 | − | 0.462669i | ||||
\(911\) | 7.94598i | 0.263262i | 0.991299 | + | 0.131631i | \(0.0420214\pi\) | ||||
−0.991299 | + | 0.131631i | \(0.957979\pi\) | |||||||
\(912\) | −1.75064 | − | 0.0279705i | −0.0579694 | − | 0.000926197i | ||||
\(913\) | 1.79267 | − | 1.03500i | 0.0593287 | − | 0.0342534i | ||||
\(914\) | − | 42.3253i | − | 1.40000i | ||||||
\(915\) | −0.669837 | − | 1.20422i | −0.0221441 | − | 0.0398103i | ||||
\(916\) | 8.23500 | + | 14.2634i | 0.272092 | + | 0.471277i | ||||
\(917\) | 1.98392 | − | 7.42292i | 0.0655147 | − | 0.245126i | ||||
\(918\) | 5.83180 | + | 0.279720i | 0.192478 | + | 0.00923215i | ||||
\(919\) | 13.5830 | − | 23.5265i | 0.448062 | − | 0.776067i | −0.550198 | − | 0.835034i | \(-0.685448\pi\) |
0.998260 | + | 0.0589679i | \(0.0187810\pi\) | |||||||
\(920\) | 5.75475 | + | 9.96752i | 0.189728 | + | 0.328619i | ||||
\(921\) | −17.9472 | − | 32.2650i | −0.591379 | − | 1.06317i | ||||
\(922\) | −10.2913 | + | 5.94166i | −0.338925 | + | 0.195678i | ||||
\(923\) | 9.04667 | + | 26.9775i | 0.297775 | + | 0.887974i | ||||
\(924\) | 9.20018 | − | 2.31451i | 0.302664 | − | 0.0761419i | ||||
\(925\) | −35.0725 | − | 20.2491i | −1.15318 | − | 0.665787i | ||||
\(926\) | 3.56440i | 0.117133i | ||||||||
\(927\) | 0.870631 | − | 27.2389i | 0.0285953 | − | 0.894642i | ||||
\(928\) | 7.97573 | + | 4.60479i | 0.261816 | + | 0.151160i | ||||
\(929\) | −20.5681 | − | 11.8750i | −0.674816 | − | 0.389605i | 0.123083 | − | 0.992396i | \(-0.460722\pi\) |
−0.797899 | + | 0.602791i | \(0.794055\pi\) | |||||||
\(930\) | 18.5781 | − | 10.3339i | 0.609200 | − | 0.338863i | ||||
\(931\) | −6.13250 | − | 3.53023i | −0.200985 | − | 0.115699i | ||||
\(932\) | 4.79194 | − | 2.76663i | 0.156965 | − | 0.0906240i | ||||
\(933\) | −25.6551 | − | 0.409900i | −0.839909 | − | 0.0134195i | ||||
\(934\) | 3.56143 | + | 6.16858i | 0.116534 | + | 0.201842i | ||||
\(935\) | −6.62285 | − | 3.82371i | −0.216591 | − | 0.125049i | ||||
\(936\) | 7.41720 | − | 7.87307i | 0.242439 | − | 0.257339i | ||||
\(937\) | 44.8244i | 1.46435i | 0.681116 | + | 0.732175i | \(0.261495\pi\) | ||||
−0.681116 | + | 0.732175i | \(0.738505\pi\) | |||||||
\(938\) | 30.1981 | + | 8.07101i | 0.986001 | + | 0.263528i | ||||
\(939\) | −38.9553 | − | 23.3284i | −1.27126 | − | 0.761294i | ||||
\(940\) | 2.00280 | − | 3.46895i | 0.0653240 | − | 0.113145i | ||||
\(941\) | 26.3318 | + | 15.2027i | 0.858393 | + | 0.495593i | 0.863474 | − | 0.504394i | \(-0.168284\pi\) |
−0.00508113 | + | 0.999987i | \(0.501617\pi\) | |||||||
\(942\) | 0.390508 | − | 24.4414i | 0.0127234 | − | 0.796343i | ||||
\(943\) | 17.2322 | − | 29.8471i | 0.561159 | − | 0.971955i | ||||
\(944\) | 9.80909i | 0.319259i | ||||||||
\(945\) | −43.0555 | − | 13.7488i | −1.40059 | − | 0.447248i | ||||
\(946\) | −6.94759 | + | 12.0336i | −0.225886 | + | 0.391245i | ||||
\(947\) | −8.01406 | −0.260422 | −0.130211 | − | 0.991486i | \(-0.541565\pi\) | ||||
−0.130211 | + | 0.991486i | \(0.541565\pi\) | |||||||
\(948\) | 4.43118 | − | 7.39946i | 0.143918 | − | 0.240323i | ||||
\(949\) | 4.19286 | − | 4.74558i | 0.136106 | − | 0.154048i | ||||
\(950\) | −2.93578 | − | 5.08492i | −0.0952493 | − | 0.164977i | ||||
\(951\) | −17.4511 | + | 29.1409i | −0.565890 | + | 0.944958i | ||||
\(952\) | −2.10344 | − | 2.10077i | −0.0681728 | − | 0.0680863i | ||||
\(953\) | −4.48194 | + | 2.58765i | −0.145184 | + | 0.0838222i | −0.570833 | − | 0.821067i | \(-0.693379\pi\) |
0.425648 | + | 0.904889i | \(0.360046\pi\) | |||||||
\(954\) | −15.4474 | + | 8.27219i | −0.500130 | + | 0.267822i | ||||
\(955\) | 85.0022 | 2.75061 | ||||||||
\(956\) | −4.33497 | −0.140203 | ||||||||
\(957\) | −28.8587 | + | 16.0524i | −0.932868 | + | 0.518900i | ||||
\(958\) | −26.4547 | + | 15.2736i | −0.854712 | + | 0.493468i | ||||
\(959\) | −39.6475 | − | 39.5972i | −1.28028 | − | 1.27866i | ||||
\(960\) | 4.88532 | + | 2.92558i | 0.157673 | + | 0.0944228i | ||||
\(961\) | 8.53115 | + | 14.7764i | 0.275199 | + | 0.476658i | ||||
\(962\) | −4.99535 | + | 24.6375i | −0.161056 | + | 0.794346i | ||||
\(963\) | −9.59254 | − | 5.95475i | −0.309115 | − | 0.191889i | ||||
\(964\) | 4.20698 | 0.135498 | ||||||||
\(965\) | 35.8512 | − | 62.0960i | 1.15409 | − | 1.99894i | ||||
\(966\) | −15.4308 | − | 4.38945i | −0.496477 | − | 0.141228i | ||||
\(967\) | 14.4231i | 0.463816i | 0.972738 | + | 0.231908i | \(0.0744968\pi\) | ||||
−0.972738 | + | 0.231908i | \(0.925503\pi\) | |||||||
\(968\) | −3.35713 | + | 5.81473i | −0.107902 | + | 0.186892i | ||||
\(969\) | −1.96705 | − | 0.0314283i | −0.0631909 | − | 0.00100962i | ||||
\(970\) | 18.3146 | + | 10.5739i | 0.588046 | + | 0.339509i | ||||
\(971\) | −0.714834 | + | 1.23813i | −0.0229401 | + | 0.0397335i | −0.877268 | − | 0.480002i | \(-0.840636\pi\) |
0.854327 | + | 0.519735i | \(0.173969\pi\) | |||||||
\(972\) | 8.84661 | − | 12.8350i | 0.283755 | − | 0.411683i | ||||
\(973\) | 52.0060 | + | 13.8996i | 1.66723 | + | 0.445600i | ||||
\(974\) | − | 32.0202i | − | 1.02599i | ||||||
\(975\) | 35.4309 | + | 7.77501i | 1.13470 | + | 0.249000i | ||||
\(976\) | −0.209571 | − | 0.120996i | −0.00670819 | − | 0.00387297i | ||||
\(977\) | 7.46343 | + | 12.9270i | 0.238776 | + | 0.413573i | 0.960363 | − | 0.278751i | \(-0.0899204\pi\) |
−0.721587 | + | 0.692324i | \(0.756587\pi\) | |||||||
\(978\) | −0.285421 | + | 17.8641i | −0.00912676 | + | 0.571232i | ||||
\(979\) | −13.6593 | + | 7.88621i | −0.436554 | + | 0.252044i | ||||
\(980\) | 11.5320 | + | 19.9155i | 0.368375 | + | 0.636179i | ||||
\(981\) | 7.44958 | − | 3.98929i | 0.237847 | − | 0.127368i | ||||
\(982\) | −13.0865 | − | 7.55549i | −0.417607 | − | 0.241106i | ||||
\(983\) | −2.34938 | − | 1.35641i | −0.0749334 | − | 0.0432628i | 0.462065 | − | 0.886846i | \(-0.347109\pi\) |
−0.536999 | + | 0.843583i | \(0.680442\pi\) | |||||||
\(984\) | 0.272400 | − | 17.0491i | 0.00868379 | − | 0.543507i | ||||
\(985\) | 23.0808i | 0.735414i | ||||||||
\(986\) | 8.96170 | + | 5.17404i | 0.285399 | + | 0.164775i | ||||
\(987\) | 1.36217 | + | 5.41463i | 0.0433584 | + | 0.172350i | ||||
\(988\) | −2.41322 | + | 2.73135i | −0.0767749 | + | 0.0868957i | ||||
\(989\) | 20.3496 | − | 11.7489i | 0.647080 | − | 0.373592i | ||||
\(990\) | −17.9997 | + | 9.63896i | −0.572069 | + | 0.306346i | ||||
\(991\) | 3.28838 | + | 5.69564i | 0.104459 | + | 0.180928i | 0.913517 | − | 0.406801i | \(-0.133356\pi\) |
−0.809058 | + | 0.587729i | \(0.800022\pi\) | |||||||
\(992\) | 1.86666 | − | 3.23315i | 0.0592665 | − | 0.102653i | ||||
\(993\) | −0.721561 | + | 45.1615i | −0.0228980 | + | 1.43316i | ||||
\(994\) | 5.39121 | − | 20.1715i | 0.170999 | − | 0.639800i | ||||
\(995\) | −24.7872 | − | 42.9327i | −0.785807 | − | 1.36106i | ||||
\(996\) | −1.51349 | + | 0.841868i | −0.0479569 | + | 0.0266756i | ||||
\(997\) | 22.9904i | 0.728114i | 0.931377 | + | 0.364057i | \(0.118609\pi\) | ||||
−0.931377 | + | 0.364057i | \(0.881391\pi\) | |||||||
\(998\) | 4.18606 | − | 2.41682i | 0.132508 | − | 0.0765033i | ||||
\(999\) | −1.73571 | + | 36.1873i | −0.0549155 | + | 1.14492i |
(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 | 546.2.bi.e.17.12 | ✓ | 34 | |
3.2 | odd | 2 | 546.2.bi.f.17.6 | yes | 34 | ||
7.5 | odd | 6 | 546.2.bn.f.173.17 | yes | 34 | ||
13.10 | even | 6 | 546.2.bn.e.101.1 | yes | 34 | ||
21.5 | even | 6 | 546.2.bn.e.173.1 | yes | 34 | ||
39.23 | odd | 6 | 546.2.bn.f.101.17 | yes | 34 | ||
91.75 | odd | 6 | 546.2.bi.f.257.6 | yes | 34 | ||
273.257 | even | 6 | inner | 546.2.bi.e.257.12 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.12 | ✓ | 34 | 1.1 | even | 1 | trivial | |
546.2.bi.e.257.12 | yes | 34 | 273.257 | even | 6 | inner | |
546.2.bi.f.17.6 | yes | 34 | 3.2 | odd | 2 | ||
546.2.bi.f.257.6 | yes | 34 | 91.75 | odd | 6 | ||
546.2.bn.e.101.1 | yes | 34 | 13.10 | even | 6 | ||
546.2.bn.e.173.1 | yes | 34 | 21.5 | even | 6 | ||
546.2.bn.f.101.17 | yes | 34 | 39.23 | odd | 6 | ||
546.2.bn.f.173.17 | yes | 34 | 7.5 | odd | 6 |