Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(11,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([27, 27, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.bb (of order \(54\), degree \(18\), 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(1872\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 131.96 | ||
Character | \(\chi\) | \(=\) | 648.131 |
Dual form | 648.2.bb.b.371.96 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{47}{54}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35894 | + | 0.391508i | 0.960917 | + | 0.276838i | ||||
\(3\) | 0.952970 | − | 1.44632i | 0.550198 | − | 0.835034i | ||||
\(4\) | 1.69344 | + | 1.06407i | 0.846721 | + | 0.532036i | ||||
\(5\) | 0.133242 | − | 2.28767i | 0.0595874 | − | 1.02308i | −0.827497 | − | 0.561470i | \(-0.810236\pi\) |
0.887085 | − | 0.461607i | \(-0.152727\pi\) | |||||||
\(6\) | 1.86128 | − | 1.59237i | 0.759863 | − | 0.650083i | ||||
\(7\) | 0.141757 | + | 0.598121i | 0.0535792 | + | 0.226068i | 0.993247 | − | 0.116020i | \(-0.0370138\pi\) |
−0.939668 | + | 0.342089i | \(0.888866\pi\) | |||||||
\(8\) | 1.88470 | + | 2.10901i | 0.666341 | + | 0.745647i | ||||
\(9\) | −1.18370 | − | 2.75660i | −0.394565 | − | 0.918868i | ||||
\(10\) | 1.07671 | − | 3.05664i | 0.340485 | − | 0.966595i | ||||
\(11\) | −2.30960 | − | 3.51157i | −0.696369 | − | 1.05878i | −0.994549 | − | 0.104268i | \(-0.966750\pi\) |
0.298180 | − | 0.954510i | \(-0.403620\pi\) | |||||||
\(12\) | 3.15279 | − | 1.43523i | 0.910133 | − | 0.414316i | ||||
\(13\) | 0.356940 | + | 3.05381i | 0.0989973 | + | 0.846976i | 0.947931 | + | 0.318476i | \(0.103171\pi\) |
−0.848934 | + | 0.528500i | \(0.822755\pi\) | |||||||
\(14\) | −0.0415293 | + | 0.868310i | −0.0110992 | + | 0.232066i | ||||
\(15\) | −3.18173 | − | 2.37279i | −0.821519 | − | 0.612652i | ||||
\(16\) | 1.73550 | + | 3.60389i | 0.433875 | + | 0.900973i | ||||
\(17\) | 3.30398 | − | 3.93753i | 0.801333 | − | 0.954991i | −0.198351 | − | 0.980131i | \(-0.563559\pi\) |
0.999684 | + | 0.0251396i | \(0.00800304\pi\) | |||||||
\(18\) | −0.529340 | − | 4.20949i | −0.124767 | − | 0.992186i | ||||
\(19\) | −3.42917 | + | 2.87742i | −0.786706 | + | 0.660125i | −0.944928 | − | 0.327279i | \(-0.893868\pi\) |
0.158221 | + | 0.987404i | \(0.449424\pi\) | |||||||
\(20\) | 2.65988 | − | 3.73226i | 0.594768 | − | 0.834558i | ||||
\(21\) | 1.00017 | + | 0.364965i | 0.218254 | + | 0.0796418i | ||||
\(22\) | −1.76380 | − | 5.67624i | −0.376043 | − | 1.21018i | ||||
\(23\) | 7.04830 | + | 1.67048i | 1.46967 | + | 0.348319i | 0.886005 | − | 0.463675i | \(-0.153469\pi\) |
0.583667 | + | 0.811993i | \(0.301618\pi\) | |||||||
\(24\) | 4.84637 | − | 0.716055i | 0.989260 | − | 0.146164i | ||||
\(25\) | −0.249484 | − | 0.0291605i | −0.0498968 | − | 0.00583210i | ||||
\(26\) | −0.710533 | + | 4.28970i | −0.139347 | + | 0.841279i | ||||
\(27\) | −5.11496 | − | 0.914957i | −0.984375 | − | 0.176084i | ||||
\(28\) | −0.396386 | + | 1.16372i | −0.0749099 | + | 0.219923i | ||||
\(29\) | −4.65878 | + | 6.25782i | −0.865113 | + | 1.16205i | 0.120447 | + | 0.992720i | \(0.461567\pi\) |
−0.985560 | + | 0.169329i | \(0.945840\pi\) | |||||||
\(30\) | −3.39482 | − | 4.47016i | −0.619806 | − | 0.816135i | ||||
\(31\) | −3.35485 | + | 1.00438i | −0.602549 | + | 0.180391i | −0.573526 | − | 0.819187i | \(-0.694425\pi\) |
−0.0290230 | + | 0.999579i | \(0.509240\pi\) | |||||||
\(32\) | 0.947487 | + | 5.57694i | 0.167494 | + | 0.985873i | ||||
\(33\) | −7.27984 | − | 0.00600242i | −1.26726 | − | 0.00104489i | ||||
\(34\) | 6.03149 | − | 4.05734i | 1.03439 | − | 0.695828i | ||||
\(35\) | 1.38719 | − | 0.244599i | 0.234478 | − | 0.0413448i | ||||
\(36\) | 0.928707 | − | 5.92769i | 0.154785 | − | 0.987948i | ||||
\(37\) | −7.56916 | − | 1.33465i | −1.24436 | − | 0.219415i | −0.487578 | − | 0.873079i | \(-0.662120\pi\) |
−0.756784 | + | 0.653665i | \(0.773231\pi\) | |||||||
\(38\) | −5.78658 | + | 2.56769i | −0.938707 | + | 0.416535i | ||||
\(39\) | 4.75695 | + | 2.39395i | 0.761722 | + | 0.383338i | ||||
\(40\) | 5.07583 | − | 4.03055i | 0.802560 | − | 0.637287i | ||||
\(41\) | 4.42188 | + | 1.90741i | 0.690581 | + | 0.297888i | 0.712299 | − | 0.701876i | \(-0.247654\pi\) |
−0.0217173 | + | 0.999764i | \(0.506913\pi\) | |||||||
\(42\) | 1.21628 | + | 0.887538i | 0.187676 | + | 0.136950i | ||||
\(43\) | 6.11067 | + | 3.06889i | 0.931868 | + | 0.468002i | 0.848902 | − | 0.528551i | \(-0.177264\pi\) |
0.0829662 | + | 0.996552i | \(0.473561\pi\) | |||||||
\(44\) | −0.174603 | − | 8.40422i | −0.0263224 | − | 1.26698i | ||||
\(45\) | −6.46391 | + | 2.34061i | −0.963584 | + | 0.348917i | ||||
\(46\) | 8.92422 | + | 5.02955i | 1.31580 | + | 0.741566i | ||||
\(47\) | 1.04863 | − | 3.50266i | 0.152958 | − | 0.510915i | −0.846822 | − | 0.531876i | \(-0.821487\pi\) |
0.999780 | + | 0.0209608i | \(0.00667253\pi\) | |||||||
\(48\) | 6.86627 | + | 0.924314i | 0.991061 | + | 0.133413i | ||||
\(49\) | 5.91778 | − | 2.97202i | 0.845396 | − | 0.424574i | ||||
\(50\) | −0.327618 | − | 0.137302i | −0.0463321 | − | 0.0194175i | ||||
\(51\) | −2.54634 | − | 8.53097i | −0.356559 | − | 1.19457i | ||||
\(52\) | −2.64502 | + | 5.55127i | −0.366799 | + | 0.769823i | ||||
\(53\) | 1.52348 | − | 2.63874i | 0.209266 | − | 0.362459i | −0.742218 | − | 0.670159i | \(-0.766226\pi\) |
0.951483 | + | 0.307700i | \(0.0995593\pi\) | |||||||
\(54\) | −6.59272 | − | 3.24592i | −0.897156 | − | 0.441714i | ||||
\(55\) | −8.34104 | + | 4.81570i | −1.12471 | + | 0.649349i | ||||
\(56\) | −0.994273 | + | 1.42624i | −0.132865 | + | 0.190590i | ||||
\(57\) | 0.893773 | + | 7.70178i | 0.118383 | + | 1.02013i | ||||
\(58\) | −8.78099 | + | 6.68007i | −1.15300 | + | 0.877136i | ||||
\(59\) | −7.96843 | + | 12.1154i | −1.03740 | + | 1.57729i | −0.242879 | + | 0.970057i | \(0.578092\pi\) |
−0.794522 | + | 0.607235i | \(0.792279\pi\) | |||||||
\(60\) | −2.86326 | − | 7.40378i | −0.369645 | − | 0.955824i | ||||
\(61\) | 3.52791 | − | 3.32841i | 0.451702 | − | 0.426159i | −0.426472 | − | 0.904501i | \(-0.640244\pi\) |
0.878174 | + | 0.478342i | \(0.158762\pi\) | |||||||
\(62\) | −4.95227 | + | 0.0514376i | −0.628938 | + | 0.00653259i | ||||
\(63\) | 1.48098 | − | 1.09876i | 0.186587 | − | 0.138431i | ||||
\(64\) | −0.895837 | + | 7.94968i | −0.111980 | + | 0.993710i | ||||
\(65\) | 7.03368 | − | 0.409665i | 0.872420 | − | 0.0508127i | ||||
\(66\) | −9.89052 | − | 2.85827i | −1.21744 | − | 0.351829i | ||||
\(67\) | −0.454730 | − | 0.610808i | −0.0555541 | − | 0.0746221i | 0.773478 | − | 0.633823i | \(-0.218515\pi\) |
−0.829032 | + | 0.559201i | \(0.811108\pi\) | |||||||
\(68\) | 9.78492 | − | 3.15231i | 1.18660 | − | 0.382273i | ||||
\(69\) | 9.13287 | − | 8.60220i | 1.09947 | − | 1.03558i | ||||
\(70\) | 1.98087 | + | 0.210700i | 0.236760 | + | 0.0251835i | ||||
\(71\) | −5.34568 | + | 1.94567i | −0.634415 | + | 0.230908i | −0.639152 | − | 0.769081i | \(-0.720714\pi\) |
0.00473679 | + | 0.999989i | \(0.498492\pi\) | |||||||
\(72\) | 3.58280 | − | 7.69179i | 0.422237 | − | 0.906486i | ||||
\(73\) | 6.64301 | + | 2.41786i | 0.777506 | + | 0.282989i | 0.700132 | − | 0.714013i | \(-0.253124\pi\) |
0.0773736 | + | 0.997002i | \(0.475347\pi\) | |||||||
\(74\) | −9.76352 | − | 4.77709i | −1.13499 | − | 0.555326i | ||||
\(75\) | −0.279927 | + | 0.333045i | −0.0323231 | + | 0.0384568i | ||||
\(76\) | −8.86889 | + | 1.22385i | −1.01733 | + | 0.140386i | ||||
\(77\) | 1.77294 | − | 1.87921i | 0.202045 | − | 0.214156i | ||||
\(78\) | 5.52717 | + | 5.11562i | 0.625829 | + | 0.579229i | ||||
\(79\) | −12.3624 | + | 5.33260i | −1.39087 | + | 0.599965i | −0.954068 | − | 0.299591i | \(-0.903150\pi\) |
−0.436807 | + | 0.899555i | \(0.643891\pi\) | |||||||
\(80\) | 8.47575 | − | 3.49006i | 0.947618 | − | 0.390200i | ||||
\(81\) | −6.19773 | + | 6.52596i | −0.688637 | + | 0.725106i | ||||
\(82\) | 5.26231 | + | 4.32326i | 0.581125 | + | 0.477424i | ||||
\(83\) | 6.05040 | − | 2.60989i | 0.664117 | − | 0.286472i | −0.0372143 | − | 0.999307i | \(-0.511848\pi\) |
0.701332 | + | 0.712835i | \(0.252589\pi\) | |||||||
\(84\) | 1.30537 | + | 1.68230i | 0.142428 | + | 0.183554i | ||||
\(85\) | −8.56754 | − | 8.08306i | −0.929280 | − | 0.876731i | ||||
\(86\) | 7.10254 | + | 6.56282i | 0.765887 | + | 0.707687i | ||||
\(87\) | 4.61115 | + | 12.7016i | 0.494367 | + | 1.36176i | ||||
\(88\) | 3.05304 | − | 11.4892i | 0.325456 | − | 1.22475i | ||||
\(89\) | −1.90299 | + | 5.22841i | −0.201716 | + | 0.554211i | −0.998764 | − | 0.0497056i | \(-0.984172\pi\) |
0.797048 | + | 0.603916i | \(0.206394\pi\) | |||||||
\(90\) | −9.70045 | + | 0.650075i | −1.02252 | + | 0.0685239i | ||||
\(91\) | −1.77595 | + | 0.646393i | −0.186170 | + | 0.0677604i | ||||
\(92\) | 10.1584 | + | 10.3288i | 1.05908 | + | 1.07685i | ||||
\(93\) | −1.74442 | + | 5.80933i | −0.180888 | + | 0.602400i | ||||
\(94\) | 2.79634 | − | 4.34936i | 0.288420 | − | 0.448602i | ||||
\(95\) | 6.12567 | + | 8.22821i | 0.628481 | + | 0.844196i | ||||
\(96\) | 8.96898 | + | 3.94429i | 0.915393 | + | 0.402562i | ||||
\(97\) | −0.401821 | − | 6.89900i | −0.0407987 | − | 0.700487i | −0.955252 | − | 0.295795i | \(-0.904416\pi\) |
0.914453 | − | 0.404692i | \(-0.132621\pi\) | |||||||
\(98\) | 9.20548 | − | 1.72194i | 0.929894 | − | 0.173942i | ||||
\(99\) | −6.94615 | + | 10.5233i | −0.698114 | + | 1.05763i | ||||
\(100\) | −0.391458 | − | 0.314851i | −0.0391458 | − | 0.0314851i | ||||
\(101\) | 12.0303 | + | 12.7514i | 1.19706 | + | 1.26881i | 0.954343 | + | 0.298711i | \(0.0965568\pi\) |
0.242716 | + | 0.970097i | \(0.421962\pi\) | |||||||
\(102\) | −0.120387 | − | 12.5900i | −0.0119200 | − | 1.24660i | ||||
\(103\) | 0.528511 | − | 0.803562i | 0.0520757 | − | 0.0791773i | −0.808511 | − | 0.588480i | \(-0.799726\pi\) |
0.860587 | + | 0.509303i | \(0.170097\pi\) | |||||||
\(104\) | −5.76780 | + | 6.50830i | −0.565579 | + | 0.638192i | ||||
\(105\) | 0.968182 | − | 2.23942i | 0.0944849 | − | 0.218545i | ||||
\(106\) | 3.10340 | − | 2.98944i | 0.301429 | − | 0.290360i | ||||
\(107\) | −7.95357 | + | 4.59200i | −0.768901 | + | 0.443925i | −0.832482 | − | 0.554052i | \(-0.813081\pi\) |
0.0635816 | + | 0.997977i | \(0.479748\pi\) | |||||||
\(108\) | −7.68832 | − | 6.99212i | −0.739809 | − | 0.672817i | ||||
\(109\) | 0.127584 | + | 0.0736605i | 0.0122203 | + | 0.00705540i | 0.506098 | − | 0.862476i | \(-0.331088\pi\) |
−0.493877 | + | 0.869532i | \(0.664421\pi\) | |||||||
\(110\) | −13.2204 | + | 3.27867i | −1.26051 | + | 0.312609i | ||||
\(111\) | −9.14352 | + | 9.67557i | −0.867864 | + | 0.918364i | ||||
\(112\) | −1.90954 | + | 1.54892i | −0.180435 | + | 0.146359i | ||||
\(113\) | −6.94203 | − | 13.8227i | −0.653051 | − | 1.30033i | −0.939603 | − | 0.342267i | \(-0.888805\pi\) |
0.286551 | − | 0.958065i | \(-0.407491\pi\) | |||||||
\(114\) | −1.80073 | + | 10.8162i | −0.168653 | + | 1.01303i | ||||
\(115\) | 4.76063 | − | 15.9016i | 0.443931 | − | 1.48283i | ||||
\(116\) | −14.5482 | + | 5.63999i | −1.35076 | + | 0.523660i | ||||
\(117\) | 7.99565 | − | 4.59873i | 0.739198 | − | 0.425152i | ||||
\(118\) | −15.5719 | + | 13.3444i | −1.43351 | + | 1.22845i | ||||
\(119\) | 2.82348 | + | 1.41801i | 0.258828 | + | 0.129988i | ||||
\(120\) | −0.992360 | − | 11.1823i | −0.0905897 | − | 1.02080i | ||||
\(121\) | −2.64001 | + | 6.12024i | −0.240001 | + | 0.556385i | ||||
\(122\) | 6.09732 | − | 3.14191i | 0.552025 | − | 0.284455i | ||||
\(123\) | 6.97265 | − | 4.57775i | 0.628703 | − | 0.412762i | ||||
\(124\) | −6.74998 | − | 1.86895i | −0.606166 | − | 0.167837i | ||||
\(125\) | 1.88966 | − | 10.7168i | 0.169017 | − | 0.958541i | ||||
\(126\) | 2.44274 | − | 0.913334i | 0.217617 | − | 0.0813663i | ||||
\(127\) | −14.9985 | + | 2.64465i | −1.33090 | + | 0.234674i | −0.793459 | − | 0.608624i | \(-0.791722\pi\) |
−0.537446 | + | 0.843298i | \(0.680611\pi\) | |||||||
\(128\) | −4.32976 | + | 10.4524i | −0.382700 | + | 0.923873i | ||||
\(129\) | 10.2619 | − | 5.91343i | 0.903509 | − | 0.520648i | ||||
\(130\) | 9.71874 | + | 2.19703i | 0.852390 | + | 0.192692i | ||||
\(131\) | 0.698480 | − | 0.209111i | 0.0610264 | − | 0.0182701i | −0.256144 | − | 0.966639i | \(-0.582452\pi\) |
0.317171 | + | 0.948368i | \(0.397267\pi\) | |||||||
\(132\) | −12.3216 | − | 7.75644i | −1.07246 | − | 0.675112i | ||||
\(133\) | −2.20715 | − | 1.64316i | −0.191384 | − | 0.142480i | ||||
\(134\) | −0.378815 | − | 1.00808i | −0.0327246 | − | 0.0870851i | ||||
\(135\) | −2.77465 | + | 11.5794i | −0.238803 | + | 0.996599i | ||||
\(136\) | 14.5313 | − | 0.452926i | 1.24605 | − | 0.0388381i | ||||
\(137\) | 0.321264 | − | 2.74859i | 0.0274474 | − | 0.234828i | −0.972550 | − | 0.232693i | \(-0.925246\pi\) |
0.999998 | − | 0.00213492i | \(-0.000679566\pi\) | |||||||
\(138\) | 15.7789 | − | 8.11429i | 1.34319 | − | 0.690734i | ||||
\(139\) | −11.6087 | − | 2.75130i | −0.984634 | − | 0.233362i | −0.293397 | − | 0.955991i | \(-0.594786\pi\) |
−0.691237 | + | 0.722628i | \(0.742934\pi\) | |||||||
\(140\) | 2.60940 | + | 1.06186i | 0.220534 | + | 0.0897433i | ||||
\(141\) | −4.06666 | − | 4.85458i | −0.342474 | − | 0.408829i | ||||
\(142\) | −8.02620 | + | 0.551172i | −0.673544 | + | 0.0462533i | ||||
\(143\) | 9.89930 | − | 8.30650i | 0.827821 | − | 0.694624i | ||||
\(144\) | 7.88021 | − | 9.04999i | 0.656684 | − | 0.754166i | ||||
\(145\) | 13.6951 | + | 11.4915i | 1.13731 | + | 0.954321i | ||||
\(146\) | 8.08085 | + | 5.88652i | 0.668776 | + | 0.487172i | ||||
\(147\) | 1.34097 | − | 11.3913i | 0.110601 | − | 0.939535i | ||||
\(148\) | −11.3978 | − | 10.3143i | −0.936892 | − | 0.847829i | ||||
\(149\) | −18.3326 | + | 2.14277i | −1.50186 | + | 0.175542i | −0.826916 | − | 0.562325i | \(-0.809907\pi\) |
−0.674945 | + | 0.737868i | \(0.735833\pi\) | |||||||
\(150\) | −0.510794 | + | 0.342996i | −0.0417061 | + | 0.0280055i | ||||
\(151\) | 3.82175 | + | 5.81069i | 0.311010 | + | 0.472868i | 0.956841 | − | 0.290613i | \(-0.0938592\pi\) |
−0.645831 | + | 0.763481i | \(0.723489\pi\) | |||||||
\(152\) | −12.5315 | − | 1.80910i | −1.01644 | − | 0.146737i | ||||
\(153\) | −14.7651 | − | 4.44693i | −1.19369 | − | 0.359513i | ||||
\(154\) | 3.14505 | − | 1.85961i | 0.253435 | − | 0.149852i | ||||
\(155\) | 1.85067 | + | 7.80861i | 0.148650 | + | 0.627203i | ||||
\(156\) | 5.50830 | + | 9.11575i | 0.441017 | + | 0.729844i | ||||
\(157\) | 10.1895 | + | 0.593472i | 0.813212 | + | 0.0473642i | 0.459710 | − | 0.888069i | \(-0.347954\pi\) |
0.353503 | + | 0.935434i | \(0.384991\pi\) | |||||||
\(158\) | −18.8875 | + | 2.40673i | −1.50261 | + | 0.191469i | ||||
\(159\) | −2.36464 | − | 4.71808i | −0.187528 | − | 0.374168i | ||||
\(160\) | 12.8844 | − | 1.42446i | 1.01860 | − | 0.112613i | ||||
\(161\) | 4.45254i | 0.350909i | ||||||||
\(162\) | −10.9773 | + | 6.44193i | −0.862460 | + | 0.506126i | ||||
\(163\) | −23.4122 | −1.83379 | −0.916893 | − | 0.399133i | \(-0.869311\pi\) | ||||
−0.916893 | + | 0.399133i | \(0.869311\pi\) | |||||||
\(164\) | 5.45857 | + | 7.93529i | 0.426243 | + | 0.619642i | ||||
\(165\) | −0.983708 | + | 16.6531i | −0.0765816 | + | 1.29644i | ||||
\(166\) | 9.24393 | − | 1.17790i | 0.717468 | − | 0.0914231i | ||||
\(167\) | −0.308780 | + | 5.30155i | −0.0238941 | + | 0.410246i | 0.965060 | + | 0.262027i | \(0.0843910\pi\) |
−0.988955 | + | 0.148219i | \(0.952646\pi\) | |||||||
\(168\) | 1.11529 | + | 2.79721i | 0.0860469 | + | 0.215809i | ||||
\(169\) | 3.45120 | − | 0.817951i | 0.265477 | − | 0.0629193i | ||||
\(170\) | −8.47820 | − | 14.3387i | −0.650248 | − | 1.09972i | ||||
\(171\) | 11.9910 | + | 6.04689i | 0.916975 | + | 0.462417i | ||||
\(172\) | 7.08254 | + | 11.6992i | 0.540039 | + | 0.892055i | ||||
\(173\) | 18.2717 | − | 12.0175i | 1.38917 | − | 0.913674i | 0.389201 | − | 0.921153i | \(-0.372751\pi\) |
0.999972 | + | 0.00747892i | \(0.00238063\pi\) | |||||||
\(174\) | 1.29350 | + | 19.0660i | 0.0980602 | + | 1.44539i | ||||
\(175\) | −0.0179247 | − | 0.153355i | −0.00135498 | − | 0.0115926i | ||||
\(176\) | 8.64702 | − | 14.4179i | 0.651794 | − | 1.08679i | ||||
\(177\) | 9.92911 | + | 23.0705i | 0.746317 | + | 1.73409i | ||||
\(178\) | −4.63301 | + | 6.36007i | −0.347259 | + | 0.476708i | ||||
\(179\) | 16.5125 | − | 19.6789i | 1.23420 | − | 1.47087i | 0.402715 | − | 0.915326i | \(-0.368067\pi\) |
0.831489 | − | 0.555541i | \(-0.187489\pi\) | |||||||
\(180\) | −13.4368 | − | 2.91439i | −1.00152 | − | 0.217226i | ||||
\(181\) | −7.50412 | − | 8.94306i | −0.557777 | − | 0.664733i | 0.411297 | − | 0.911501i | \(-0.365076\pi\) |
−0.969074 | + | 0.246768i | \(0.920631\pi\) | |||||||
\(182\) | −2.66648 | + | 0.183112i | −0.197653 | + | 0.0135731i | ||||
\(183\) | −1.45196 | − | 8.27436i | −0.107332 | − | 0.611658i | ||||
\(184\) | 9.76085 | + | 18.0133i | 0.719580 | + | 1.32796i | ||||
\(185\) | −4.06176 | + | 17.1379i | −0.298626 | + | 1.26000i | ||||
\(186\) | −4.64497 | + | 7.21159i | −0.340585 | + | 0.528779i | ||||
\(187\) | −21.4578 | − | 2.50805i | −1.56915 | − | 0.183407i | ||||
\(188\) | 5.50287 | − | 4.81573i | 0.401338 | − | 0.351223i | ||||
\(189\) | −0.177828 | − | 3.18907i | −0.0129351 | − | 0.231971i | ||||
\(190\) | 5.10302 | + | 13.5799i | 0.370212 | + | 0.985189i | ||||
\(191\) | 5.78711 | − | 7.77343i | 0.418740 | − | 0.562466i | −0.541835 | − | 0.840485i | \(-0.682270\pi\) |
0.960576 | + | 0.278019i | \(0.0896777\pi\) | |||||||
\(192\) | 10.6441 | + | 8.87148i | 0.768172 | + | 0.640244i | ||||
\(193\) | 4.06030 | + | 13.5623i | 0.292267 | + | 0.976239i | 0.970441 | + | 0.241338i | \(0.0775863\pi\) |
−0.678174 | + | 0.734901i | \(0.737229\pi\) | |||||||
\(194\) | 2.15496 | − | 9.53265i | 0.154717 | − | 0.684404i | ||||
\(195\) | 6.11038 | − | 10.5634i | 0.437573 | − | 0.756458i | ||||
\(196\) | 13.1839 | + | 1.26400i | 0.941704 | + | 0.0902857i | ||||
\(197\) | −1.41017 | − | 7.99747i | −0.100470 | − | 0.569796i | −0.992933 | − | 0.118675i | \(-0.962135\pi\) |
0.892463 | − | 0.451121i | \(-0.148976\pi\) | |||||||
\(198\) | −13.5594 | + | 11.5810i | −0.963621 | + | 0.823028i | ||||
\(199\) | −18.5252 | − | 3.26649i | −1.31322 | − | 0.231556i | −0.527190 | − | 0.849747i | \(-0.676754\pi\) |
−0.786027 | + | 0.618192i | \(0.787866\pi\) | |||||||
\(200\) | −0.408702 | − | 0.581123i | −0.0288996 | − | 0.0410916i | ||||
\(201\) | −1.31677 | + | 0.0756037i | −0.0928777 | + | 0.00533267i | ||||
\(202\) | 11.3562 | + | 22.0383i | 0.799020 | + | 1.55061i | ||||
\(203\) | −4.40335 | − | 1.89942i | −0.309054 | − | 0.133313i | ||||
\(204\) | 4.76549 | − | 17.1562i | 0.333651 | − | 1.20117i | ||||
\(205\) | 4.95271 | − | 9.86165i | 0.345912 | − | 0.688767i | ||||
\(206\) | 1.03282 | − | 0.885077i | 0.0719597 | − | 0.0616662i | ||||
\(207\) | −3.73819 | − | 21.4067i | −0.259822 | − | 1.48787i | ||||
\(208\) | −10.3862 | + | 6.58626i | −0.720150 | + | 0.456675i | ||||
\(209\) | 18.0243 | + | 5.39611i | 1.24676 | + | 0.373257i | ||||
\(210\) | 2.19245 | − | 2.66419i | 0.151294 | − | 0.183846i | ||||
\(211\) | 3.29108 | − | 1.65284i | 0.226567 | − | 0.113786i | −0.331895 | − | 0.943316i | \(-0.607688\pi\) |
0.558462 | + | 0.829530i | \(0.311392\pi\) | |||||||
\(212\) | 5.38773 | − | 2.84747i | 0.370031 | − | 0.195565i | ||||
\(213\) | −2.28021 | + | 9.58573i | −0.156237 | + | 0.656804i | ||||
\(214\) | −12.6062 | + | 3.12637i | −0.861745 | + | 0.213714i | ||||
\(215\) | 7.83480 | − | 13.5703i | 0.534329 | − | 0.925485i | ||||
\(216\) | −7.71050 | − | 12.5119i | −0.524633 | − | 0.851328i | ||||
\(217\) | −1.07631 | − | 1.86423i | −0.0730648 | − | 0.126552i | ||||
\(218\) | 0.144540 | + | 0.150050i | 0.00978949 | + | 0.0101627i | ||||
\(219\) | 9.82760 | − | 7.30379i | 0.664088 | − | 0.493544i | ||||
\(220\) | −19.2493 | − | 0.720358i | −1.29779 | − | 0.0485665i | ||||
\(221\) | 13.2038 | + | 8.68428i | 0.888184 | + | 0.584168i | ||||
\(222\) | −16.2136 | + | 9.56877i | −1.08818 | + | 0.642214i | ||||
\(223\) | −4.94723 | + | 4.66747i | −0.331291 | + | 0.312557i | −0.833855 | − | 0.551983i | \(-0.813871\pi\) |
0.502565 | + | 0.864540i | \(0.332390\pi\) | |||||||
\(224\) | −3.20137 | + | 1.35728i | −0.213901 | + | 0.0906873i | ||||
\(225\) | 0.214929 | + | 0.722246i | 0.0143286 | + | 0.0481497i | ||||
\(226\) | −4.02211 | − | 21.5021i | −0.267547 | − | 1.43030i | ||||
\(227\) | −7.36832 | + | 0.429156i | −0.489053 | + | 0.0284841i | −0.300900 | − | 0.953656i | \(-0.597287\pi\) |
−0.188153 | + | 0.982140i | \(0.560250\pi\) | |||||||
\(228\) | −6.68171 | + | 13.9936i | −0.442507 | + | 0.926747i | ||||
\(229\) | −1.98845 | + | 1.48035i | −0.131401 | + | 0.0978241i | −0.660852 | − | 0.750516i | \(-0.729805\pi\) |
0.529452 | + | 0.848340i | \(0.322398\pi\) | |||||||
\(230\) | 12.6950 | − | 19.7455i | 0.837084 | − | 1.30198i | ||||
\(231\) | −1.02838 | − | 4.35507i | −0.0676624 | − | 0.286543i | ||||
\(232\) | −21.9782 | + | 1.96870i | −1.44294 | + | 0.129251i | ||||
\(233\) | −7.84204 | − | 21.5458i | −0.513749 | − | 1.41151i | −0.877301 | − | 0.479940i | \(-0.840659\pi\) |
0.363553 | − | 0.931574i | \(-0.381564\pi\) | |||||||
\(234\) | 12.6661 | − | 3.11904i | 0.828006 | − | 0.203898i | ||||
\(235\) | −7.87320 | − | 2.86561i | −0.513591 | − | 0.186932i | ||||
\(236\) | −26.3858 | + | 12.0378i | −1.71757 | + | 0.783592i | ||||
\(237\) | −4.06830 | + | 22.9618i | −0.264265 | + | 1.49153i | ||||
\(238\) | 3.28178 | + | 3.03240i | 0.212727 | + | 0.196561i | ||||
\(239\) | −2.97977 | + | 3.15837i | −0.192745 | + | 0.204298i | −0.816538 | − | 0.577292i | \(-0.804109\pi\) |
0.623793 | + | 0.781590i | \(0.285591\pi\) | |||||||
\(240\) | 3.02940 | − | 15.5846i | 0.195547 | − | 1.00598i | ||||
\(241\) | 4.68855 | + | 10.8693i | 0.302016 | + | 0.700153i | 0.999871 | − | 0.0160873i | \(-0.00512095\pi\) |
−0.697854 | + | 0.716240i | \(0.745862\pi\) | |||||||
\(242\) | −5.98375 | + | 7.28346i | −0.384650 | + | 0.468199i | ||||
\(243\) | 3.53238 | + | 15.1830i | 0.226602 | + | 0.973987i | ||||
\(244\) | 9.51598 | − | 1.88252i | 0.609198 | − | 0.120516i | ||||
\(245\) | −6.01050 | − | 13.9339i | −0.383997 | − | 0.890205i | ||||
\(246\) | 11.2677 | − | 3.49105i | 0.718399 | − | 0.222581i | ||||
\(247\) | −10.0111 | − | 9.44500i | −0.636992 | − | 0.600971i | ||||
\(248\) | −8.44111 | − | 5.18246i | −0.536011 | − | 0.329087i | ||||
\(249\) | 1.99111 | − | 11.2380i | 0.126182 | − | 0.712177i | ||||
\(250\) | 6.76366 | − | 13.8237i | 0.427771 | − | 0.874287i | ||||
\(251\) | −2.18278 | + | 5.99715i | −0.137776 | + | 0.378537i | −0.989323 | − | 0.145742i | \(-0.953443\pi\) |
0.851546 | + | 0.524279i | \(0.175665\pi\) | |||||||
\(252\) | 3.67712 | − | 0.284814i | 0.231637 | − | 0.0179416i | ||||
\(253\) | −10.4127 | − | 28.6087i | −0.654642 | − | 1.79862i | ||||
\(254\) | −21.4175 | − | 2.27813i | −1.34386 | − | 0.142942i | ||||
\(255\) | −19.8553 | + | 4.68851i | −1.24339 | + | 0.293606i | ||||
\(256\) | −9.97609 | + | 12.5091i | −0.623506 | + | 0.781819i | ||||
\(257\) | 16.0546 | − | 11.9522i | 1.00146 | − | 0.745556i | 0.0342141 | − | 0.999415i | \(-0.489107\pi\) |
0.967241 | + | 0.253859i | \(0.0816998\pi\) | |||||||
\(258\) | 16.2605 | − | 4.01839i | 1.01233 | − | 0.250174i | ||||
\(259\) | −0.274703 | − | 4.71647i | −0.0170692 | − | 0.293067i | ||||
\(260\) | 12.3470 | + | 6.79060i | 0.765731 | + | 0.421135i | ||||
\(261\) | 22.7649 | + | 5.43505i | 1.40911 | + | 0.336421i | ||||
\(262\) | 1.03106 | − | 0.0107093i | 0.0636992 | − | 0.000661624i | ||||
\(263\) | −2.58991 | − | 2.74515i | −0.159701 | − | 0.169273i | 0.642582 | − | 0.766217i | \(-0.277863\pi\) |
−0.802283 | + | 0.596944i | \(0.796382\pi\) | |||||||
\(264\) | −13.7076 | − | 15.3646i | −0.843646 | − | 0.945623i | ||||
\(265\) | −5.83357 | − | 3.83680i | −0.358354 | − | 0.235693i | ||||
\(266\) | −2.35608 | − | 3.09708i | −0.144461 | − | 0.189894i | ||||
\(267\) | 5.74848 | + | 7.73486i | 0.351801 | + | 0.473365i | ||||
\(268\) | −0.120115 | − | 1.51823i | −0.00733717 | − | 0.0927409i | ||||
\(269\) | −10.1343 | − | 17.5531i | −0.617899 | − | 1.07023i | −0.989868 | − | 0.141988i | \(-0.954651\pi\) |
0.371969 | − | 0.928245i | \(-0.378683\pi\) | |||||||
\(270\) | −8.30402 | + | 14.6495i | −0.505367 | + | 0.891539i | ||||
\(271\) | −5.20710 | − | 3.00632i | −0.316309 | − | 0.182621i | 0.333437 | − | 0.942772i | \(-0.391791\pi\) |
−0.649746 | + | 0.760151i | \(0.725125\pi\) | |||||||
\(272\) | 19.9245 | + | 5.07362i | 1.20810 | + | 0.307633i | ||||
\(273\) | −0.757536 | + | 3.18459i | −0.0458481 | + | 0.192740i | ||||
\(274\) | 1.51267 | − | 3.60939i | 0.0913839 | − | 0.218051i | ||||
\(275\) | 0.473808 | + | 0.943430i | 0.0285717 | + | 0.0568910i | ||||
\(276\) | 24.6194 | − | 4.84929i | 1.48191 | − | 0.291893i | ||||
\(277\) | 13.3782 | + | 4.00517i | 0.803817 | + | 0.240647i | 0.662251 | − | 0.749282i | \(-0.269601\pi\) |
0.141566 | + | 0.989929i | \(0.454786\pi\) | |||||||
\(278\) | −14.6983 | − | 8.28374i | −0.881547 | − | 0.496826i | ||||
\(279\) | 6.73979 | + | 8.05912i | 0.403500 | + | 0.482487i | ||||
\(280\) | 3.13029 | + | 2.46460i | 0.187071 | + | 0.147288i | ||||
\(281\) | −0.777387 | + | 1.54790i | −0.0463750 | + | 0.0923402i | −0.915627 | − | 0.402030i | \(-0.868305\pi\) |
0.869252 | + | 0.494370i | \(0.164601\pi\) | |||||||
\(282\) | −3.62574 | − | 8.18922i | −0.215910 | − | 0.487661i | ||||
\(283\) | 5.23959 | − | 12.1467i | 0.311461 | − | 0.722048i | −0.688534 | − | 0.725204i | \(-0.741745\pi\) |
0.999995 | + | 0.00315599i | \(0.00100458\pi\) | |||||||
\(284\) | −11.1229 | − | 2.39331i | −0.660024 | − | 0.142017i | ||||
\(285\) | 17.7382 | − | 1.01846i | 1.05072 | − | 0.0603283i | ||||
\(286\) | 16.7046 | − | 7.41239i | 0.987765 | − | 0.438304i | ||||
\(287\) | −0.514030 | + | 2.91521i | −0.0303422 | + | 0.172079i | ||||
\(288\) | 14.2519 | − | 9.21324i | 0.839800 | − | 0.542896i | ||||
\(289\) | −1.63584 | − | 9.27732i | −0.0962259 | − | 0.545724i | ||||
\(290\) | 14.1118 | + | 20.9781i | 0.828673 | + | 1.23187i | ||||
\(291\) | −10.3611 | − | 5.99338i | −0.607378 | − | 0.351338i | ||||
\(292\) | 8.67679 | + | 11.1632i | 0.507771 | + | 0.653274i | ||||
\(293\) | 1.38833 | + | 4.63735i | 0.0811072 | + | 0.270917i | 0.988918 | − | 0.148463i | \(-0.0474326\pi\) |
−0.907811 | + | 0.419380i | \(0.862247\pi\) | |||||||
\(294\) | 6.28206 | − | 14.9550i | 0.366377 | − | 0.872196i | ||||
\(295\) | 26.6543 | + | 19.8434i | 1.55187 | + | 1.15533i | ||||
\(296\) | −11.4508 | − | 18.4788i | −0.665564 | − | 1.07406i | ||||
\(297\) | 8.60056 | + | 20.0747i | 0.499055 | + | 1.16485i | ||||
\(298\) | −25.7518 | − | 4.26545i | −1.49176 | − | 0.247091i | ||||
\(299\) | −2.58551 | + | 22.1205i | −0.149524 | + | 1.27926i | ||||
\(300\) | −0.828424 | + | 0.266131i | −0.0478291 | + | 0.0153651i | ||||
\(301\) | −0.969337 | + | 4.08995i | −0.0558716 | + | 0.235741i | ||||
\(302\) | 2.91861 | + | 9.39264i | 0.167947 | + | 0.540486i | ||||
\(303\) | 29.9071 | − | 5.24801i | 1.71812 | − | 0.301490i | ||||
\(304\) | −16.3212 | − | 7.36462i | −0.936087 | − | 0.422390i | ||||
\(305\) | −7.14423 | − | 8.51416i | −0.409078 | − | 0.487520i | ||||
\(306\) | −18.3239 | − | 11.8238i | −1.04751 | − | 0.675920i | ||||
\(307\) | 17.1552 | + | 14.3949i | 0.979100 | + | 0.821562i | 0.983953 | − | 0.178426i | \(-0.0571005\pi\) |
−0.00485352 | + | 0.999988i | \(0.501545\pi\) | |||||||
\(308\) | 5.00199 | − | 1.29579i | 0.285015 | − | 0.0738346i | ||||
\(309\) | −0.658554 | − | 1.53017i | −0.0374638 | − | 0.0870482i | ||||
\(310\) | −0.542175 | + | 11.3360i | −0.0307935 | + | 0.643841i | ||||
\(311\) | 31.8529 | − | 3.72307i | 1.80621 | − | 0.211116i | 0.854784 | − | 0.518984i | \(-0.173689\pi\) |
0.951429 | + | 0.307868i | \(0.0996154\pi\) | |||||||
\(312\) | 3.91656 | + | 14.5443i | 0.221732 | + | 0.823410i | ||||
\(313\) | −8.06516 | + | 5.30454i | −0.455870 | + | 0.299830i | −0.756599 | − | 0.653879i | \(-0.773140\pi\) |
0.300729 | + | 0.953710i | \(0.402770\pi\) | |||||||
\(314\) | 13.6146 | + | 4.79577i | 0.768317 | + | 0.270641i | ||||
\(315\) | −2.31627 | − | 3.53440i | −0.130507 | − | 0.199141i | ||||
\(316\) | −26.6092 | − | 4.12400i | −1.49689 | − | 0.231993i | ||||
\(317\) | −16.9305 | + | 4.01261i | −0.950914 | + | 0.225371i | −0.676668 | − | 0.736289i | \(-0.736577\pi\) |
−0.274247 | + | 0.961659i | \(0.588428\pi\) | |||||||
\(318\) | −1.36624 | − | 7.33737i | −0.0766149 | − | 0.411459i | ||||
\(319\) | 32.7347 | + | 1.90658i | 1.83279 | + | 0.106748i | ||||
\(320\) | 18.0669 | + | 3.10861i | 1.00997 | + | 0.173776i | ||||
\(321\) | −0.938011 | + | 15.8795i | −0.0523547 | + | 0.886305i | ||||
\(322\) | −1.74320 | + | 6.05073i | −0.0971449 | + | 0.337194i | ||||
\(323\) | 23.0094i | 1.28028i | ||||||||
\(324\) | −17.4396 | + | 4.45650i | −0.968867 | + | 0.247583i | ||||
\(325\) | − | 0.772287i | − | 0.0428388i | ||||||
\(326\) | −31.8158 | − | 9.16607i | −1.76212 | − | 0.507662i | ||||
\(327\) | 0.228120 | − | 0.114331i | 0.0126151 | − | 0.00632251i | ||||
\(328\) | 4.31115 | + | 12.9207i | 0.238043 | + | 0.713425i | ||||
\(329\) | 2.24366 | + | 0.130678i | 0.123697 | + | 0.00720453i | ||||
\(330\) | −7.85661 | + | 22.2454i | −0.432492 | + | 1.22457i | ||||
\(331\) | 3.36705 | − | 0.798004i | 0.185070 | − | 0.0438623i | −0.137036 | − | 0.990566i | \(-0.543758\pi\) |
0.322105 | + | 0.946704i | \(0.395609\pi\) | |||||||
\(332\) | 13.0231 | + | 2.01837i | 0.714736 | + | 0.110772i | ||||
\(333\) | 5.28049 | + | 22.4450i | 0.289369 | + | 1.22998i | ||||
\(334\) | −2.49521 | + | 7.08360i | −0.136532 | + | 0.387597i | ||||
\(335\) | −1.45792 | + | 0.958886i | −0.0796544 | + | 0.0523895i | ||||
\(336\) | 0.420492 | + | 4.23789i | 0.0229397 | + | 0.231196i | ||||
\(337\) | 19.6636 | − | 2.29835i | 1.07115 | − | 0.125199i | 0.437803 | − | 0.899071i | \(-0.355757\pi\) |
0.633342 | + | 0.773872i | \(0.281683\pi\) | |||||||
\(338\) | 5.01022 | + | 0.239627i | 0.272520 | + | 0.0130340i | ||||
\(339\) | −26.6077 | − | 3.13223i | −1.44513 | − | 0.170119i | ||||
\(340\) | −5.90768 | − | 22.8047i | −0.320389 | − | 1.23676i | ||||
\(341\) | 11.2753 | + | 9.46109i | 0.610591 | + | 0.512347i | ||||
\(342\) | 13.9277 | + | 12.9119i | 0.753122 | + | 0.698198i | ||||
\(343\) | 5.38232 | + | 6.41440i | 0.290618 | + | 0.346345i | ||||
\(344\) | 5.04443 | + | 18.6714i | 0.271978 | + | 1.00669i | ||||
\(345\) | −18.4621 | − | 22.0391i | −0.993966 | − | 1.18655i | ||||
\(346\) | 29.5351 | − | 9.17755i | 1.58782 | − | 0.493388i | ||||
\(347\) | 3.55567 | − | 15.0026i | 0.190879 | − | 0.805380i | −0.790370 | − | 0.612630i | \(-0.790111\pi\) |
0.981248 | − | 0.192749i | \(-0.0617404\pi\) | |||||||
\(348\) | −5.70672 | + | 26.4161i | −0.305912 | + | 1.41605i | ||||
\(349\) | 2.07961 | − | 17.7922i | 0.111319 | − | 0.952394i | −0.815982 | − | 0.578077i | \(-0.803803\pi\) |
0.927301 | − | 0.374317i | \(-0.122123\pi\) | |||||||
\(350\) | 0.0356813 | − | 0.215419i | 0.00190724 | − | 0.0115146i | ||||
\(351\) | 0.968377 | − | 15.9467i | 0.0516881 | − | 0.851174i | ||||
\(352\) | 17.3955 | − | 16.2076i | 0.927184 | − | 0.863871i | ||||
\(353\) | 4.50023 | + | 3.35030i | 0.239523 | + | 0.178318i | 0.710227 | − | 0.703973i | \(-0.248592\pi\) |
−0.470703 | + | 0.882291i | \(0.656000\pi\) | |||||||
\(354\) | 4.46077 | + | 35.2388i | 0.237087 | + | 1.87292i | ||||
\(355\) | 3.73878 | + | 12.4884i | 0.198434 | + | 0.662814i | ||||
\(356\) | −8.78601 | + | 6.82910i | −0.465658 | + | 0.361942i | ||||
\(357\) | 4.74159 | − | 2.73235i | 0.250951 | − | 0.144611i | ||||
\(358\) | 30.1440 | − | 20.2776i | 1.59316 | − | 1.07171i | ||||
\(359\) | −3.83901 | − | 21.7721i | −0.202615 | − | 1.14909i | −0.901148 | − | 0.433511i | \(-0.857275\pi\) |
0.698533 | − | 0.715578i | \(-0.253836\pi\) | |||||||
\(360\) | −17.1189 | − | 9.22112i | −0.902244 | − | 0.485996i | ||||
\(361\) | 0.180380 | − | 1.02299i | 0.00949371 | − | 0.0538415i | ||||
\(362\) | −6.69638 | − | 15.0910i | −0.351954 | − | 0.793167i | ||||
\(363\) | 6.33598 | + | 9.65072i | 0.332553 | + | 0.506531i | ||||
\(364\) | −3.69528 | − | 0.795111i | −0.193685 | − | 0.0416751i | ||||
\(365\) | 6.41639 | − | 14.8749i | 0.335849 | − | 0.778586i | ||||
\(366\) | 1.26635 | − | 11.8128i | 0.0661932 | − | 0.617466i | ||||
\(367\) | 9.08300 | − | 18.0857i | 0.474129 | − | 0.944068i | −0.521726 | − | 0.853113i | \(-0.674712\pi\) |
0.995855 | − | 0.0909548i | \(-0.0289919\pi\) | |||||||
\(368\) | 6.21209 | + | 28.3004i | 0.323827 | + | 1.47526i | ||||
\(369\) | 0.0238242 | − | 14.4472i | 0.00124024 | − | 0.752089i | ||||
\(370\) | −12.2293 | + | 21.6992i | −0.635772 | + | 1.12809i | ||||
\(371\) | 1.79425 | + | 0.537163i | 0.0931528 | + | 0.0278881i | ||||
\(372\) | −9.13563 | + | 7.98158i | −0.473660 | + | 0.413826i | ||||
\(373\) | −6.77882 | − | 13.4977i | −0.350994 | − | 0.698887i | 0.646980 | − | 0.762507i | \(-0.276032\pi\) |
−0.997974 | + | 0.0636203i | \(0.979735\pi\) | |||||||
\(374\) | −28.1779 | − | 11.8092i | −1.45705 | − | 0.610639i | ||||
\(375\) | −13.6992 | − | 12.9459i | −0.707422 | − | 0.668521i | ||||
\(376\) | 9.36348 | − | 4.38988i | 0.482884 | − | 0.226391i | ||||
\(377\) | −20.7731 | − | 11.9934i | −1.06987 | − | 0.617690i | ||||
\(378\) | 1.00689 | − | 4.40338i | 0.0517887 | − | 0.226485i | ||||
\(379\) | −3.38938 | − | 5.87058i | −0.174101 | − | 0.301551i | 0.765749 | − | 0.643140i | \(-0.222369\pi\) |
−0.939850 | + | 0.341588i | \(0.889035\pi\) | |||||||
\(380\) | 1.61807 | + | 20.4522i | 0.0830051 | + | 1.04917i | ||||
\(381\) | −10.4681 | + | 24.2130i | −0.536299 | + | 1.24047i | ||||
\(382\) | 10.9077 | − | 8.29794i | 0.558087 | − | 0.424560i | ||||
\(383\) | 20.2937 | + | 13.3474i | 1.03696 | + | 0.682020i | 0.949378 | − | 0.314137i | \(-0.101715\pi\) |
0.0875840 | + | 0.996157i | \(0.472085\pi\) | |||||||
\(384\) | 10.9914 | + | 16.2231i | 0.560905 | + | 0.827880i | ||||
\(385\) | −4.06278 | − | 4.30629i | −0.207058 | − | 0.219469i | ||||
\(386\) | 0.207942 | + | 20.0201i | 0.0105840 | + | 1.01899i | ||||
\(387\) | 1.22655 | − | 20.4773i | 0.0623492 | − | 1.04092i | ||||
\(388\) | 6.66057 | − | 12.1106i | 0.338139 | − | 0.614824i | ||||
\(389\) | −1.47615 | − | 25.3445i | −0.0748438 | − | 1.28502i | −0.801491 | − | 0.598007i | \(-0.795959\pi\) |
0.726647 | − | 0.687011i | \(-0.241078\pi\) | |||||||
\(390\) | 12.4393 | − | 11.9627i | 0.629888 | − | 0.605756i | ||||
\(391\) | 29.8650 | − | 22.2337i | 1.51034 | − | 1.12440i | ||||
\(392\) | 17.4212 | + | 6.87929i | 0.879905 | + | 0.347457i | ||||
\(393\) | 0.363188 | − | 1.20950i | 0.0183204 | − | 0.0610114i | ||||
\(394\) | 1.21474 | − | 11.4202i | 0.0611975 | − | 0.575341i | ||||
\(395\) | 10.5521 | + | 28.9915i | 0.530931 | + | 1.45872i | ||||
\(396\) | −22.9604 | + | 10.4293i | −1.15381 | + | 0.524094i | ||||
\(397\) | −6.11861 | + | 16.8107i | −0.307084 | + | 0.843707i | 0.686137 | + | 0.727472i | \(0.259305\pi\) |
−0.993222 | + | 0.116235i | \(0.962917\pi\) | |||||||
\(398\) | −23.8958 | − | 11.6917i | −1.19779 | − | 0.586054i | ||||
\(399\) | −4.47990 | + | 1.62637i | −0.224275 | + | 0.0814202i | ||||
\(400\) | −0.327888 | − | 0.949722i | −0.0163944 | − | 0.0474861i | ||||
\(401\) | −14.2611 | − | 13.4547i | −0.712167 | − | 0.671895i | 0.242304 | − | 0.970200i | \(-0.422097\pi\) |
−0.954470 | + | 0.298306i | \(0.903578\pi\) | |||||||
\(402\) | −1.81901 | − | 0.412785i | −0.0907240 | − | 0.0205878i | ||||
\(403\) | −4.26466 | − | 9.88659i | −0.212438 | − | 0.492486i | ||||
\(404\) | 6.80424 | + | 34.3948i | 0.338523 | + | 1.71121i | ||||
\(405\) | 14.1034 | + | 15.0479i | 0.700805 | + | 0.747736i | ||||
\(406\) | −5.24025 | − | 4.30515i | −0.260069 | − | 0.213661i | ||||
\(407\) | 12.7950 | + | 29.6621i | 0.634224 | + | 1.47030i | ||||
\(408\) | 13.1928 | − | 21.4485i | 0.653141 | − | 1.06186i | ||||
\(409\) | 3.22258 | − | 3.41573i | 0.159346 | − | 0.168897i | −0.642782 | − | 0.766049i | \(-0.722220\pi\) |
0.802128 | + | 0.597152i | \(0.203701\pi\) | |||||||
\(410\) | 10.5914 | − | 11.4624i | 0.523070 | − | 0.566086i | ||||
\(411\) | −3.66919 | − | 3.08397i | −0.180988 | − | 0.152121i | ||||
\(412\) | 1.75005 | − | 0.798412i | 0.0862188 | − | 0.0393349i | ||||
\(413\) | −8.37606 | − | 3.04864i | −0.412159 | − | 0.150014i | ||||
\(414\) | 3.30091 | − | 30.5540i | 0.162231 | − | 1.50165i | ||||
\(415\) | −5.16439 | − | 14.1891i | −0.253510 | − | 0.696513i | ||||
\(416\) | −16.6927 | + | 4.88408i | −0.818429 | + | 0.239462i | ||||
\(417\) | −15.0420 | + | 14.1680i | −0.736609 | + | 0.693808i | ||||
\(418\) | 22.3813 | + | 14.3896i | 1.09470 | + | 0.703820i | ||||
\(419\) | 10.3440 | − | 7.70079i | 0.505335 | − | 0.376208i | −0.314091 | − | 0.949393i | \(-0.601700\pi\) |
0.819426 | + | 0.573185i | \(0.194292\pi\) | |||||||
\(420\) | 4.02247 | − | 2.76211i | 0.196276 | − | 0.134777i | ||||
\(421\) | 30.2035 | − | 1.75916i | 1.47203 | − | 0.0857360i | 0.696732 | − | 0.717332i | \(-0.254637\pi\) |
0.775298 | + | 0.631596i | \(0.217600\pi\) | |||||||
\(422\) | 5.11949 | − | 0.957632i | 0.249213 | − | 0.0466168i | ||||
\(423\) | −10.8967 | + | 1.25543i | −0.529815 | + | 0.0610411i | ||||
\(424\) | 8.43642 | − | 1.76020i | 0.409709 | − | 0.0854827i | ||||
\(425\) | −0.939111 | + | 0.886006i | −0.0455536 | + | 0.0429776i | ||||
\(426\) | −6.85156 | + | 12.1337i | −0.331959 | + | 0.587881i | ||||
\(427\) | 2.49090 | + | 1.63829i | 0.120543 | + | 0.0792823i | ||||
\(428\) | −18.3551 | − | 0.686894i | −0.887229 | − | 0.0332023i | ||||
\(429\) | −2.58013 | − | 22.2334i | −0.124570 | − | 1.07344i | ||||
\(430\) | 15.9599 | − | 15.3738i | 0.769655 | − | 0.741392i | ||||
\(431\) | −15.8774 | − | 27.5005i | −0.764789 | − | 1.32465i | −0.940358 | − | 0.340187i | \(-0.889510\pi\) |
0.175569 | − | 0.984467i | \(-0.443824\pi\) | |||||||
\(432\) | −5.57960 | − | 20.0217i | −0.268449 | − | 0.963294i | ||||
\(433\) | 0.793845 | − | 1.37498i | 0.0381497 | − | 0.0660773i | −0.846320 | − | 0.532675i | \(-0.821187\pi\) |
0.884470 | + | 0.466597i | \(0.154520\pi\) | |||||||
\(434\) | −0.732785 | − | 2.95476i | −0.0351748 | − | 0.141833i | ||||
\(435\) | 29.6715 | − | 8.85641i | 1.42264 | − | 0.424632i | ||||
\(436\) | 0.137676 | + | 0.260498i | 0.00659347 | + | 0.0124756i | ||||
\(437\) | −28.9765 | + | 14.5525i | −1.38613 | + | 0.696143i | ||||
\(438\) | 16.2146 | − | 6.07784i | 0.774765 | − | 0.290410i | ||||
\(439\) | −25.1789 | − | 7.53805i | −1.20172 | − | 0.359772i | −0.377484 | − | 0.926016i | \(-0.623211\pi\) |
−0.824237 | + | 0.566244i | \(0.808396\pi\) | |||||||
\(440\) | −25.8767 | − | 8.51520i | −1.23362 | − | 0.405946i | ||||
\(441\) | −15.1975 | − | 12.7950i | −0.723691 | − | 0.609286i | ||||
\(442\) | 14.5432 | + | 16.9708i | 0.691751 | + | 0.807220i | ||||
\(443\) | −1.00828 | + | 2.00766i | −0.0479050 | + | 0.0953866i | −0.916312 | − | 0.400466i | \(-0.868848\pi\) |
0.868407 | + | 0.495853i | \(0.165144\pi\) | |||||||
\(444\) | −25.7795 | + | 6.65565i | −1.22344 | + | 0.315863i | ||||
\(445\) | 11.7073 | + | 5.05005i | 0.554980 | + | 0.239395i | ||||
\(446\) | −8.55034 | + | 4.40594i | −0.404871 | + | 0.208627i | ||||
\(447\) | −14.3712 | + | 28.5568i | −0.679737 | + | 1.35069i | ||||
\(448\) | −4.88186 | + | 0.591106i | −0.230646 | + | 0.0279271i | ||||
\(449\) | −21.1516 | − | 3.72959i | −0.998205 | − | 0.176010i | −0.349407 | − | 0.936971i | \(-0.613617\pi\) |
−0.648798 | + | 0.760961i | \(0.724728\pi\) | |||||||
\(450\) | 0.00931098 | + | 1.06564i | 0.000438924 | + | 0.0502346i | ||||
\(451\) | −3.51474 | − | 19.9331i | −0.165503 | − | 0.938613i | ||||
\(452\) | 2.95245 | − | 30.7948i | 0.138871 | − | 1.44847i | ||||
\(453\) | 12.0462 | + | 0.00993238i | 0.565978 | + | 0.000466664i | ||||
\(454\) | −10.1811 | − | 2.30156i | −0.477825 | − | 0.108018i | ||||
\(455\) | 1.24210 | + | 4.14891i | 0.0582307 | + | 0.194504i | ||||
\(456\) | −14.5586 | + | 16.4005i | −0.681771 | + | 0.768024i | ||||
\(457\) | −18.1927 | + | 24.4370i | −0.851018 | + | 1.14312i | 0.137272 | + | 0.990533i | \(0.456166\pi\) |
−0.988291 | + | 0.152583i | \(0.951241\pi\) | |||||||
\(458\) | −3.28176 | + | 1.23321i | −0.153346 | + | 0.0576241i | ||||
\(459\) | −20.5024 | + | 17.1173i | −0.956971 | + | 0.798968i | ||||
\(460\) | 24.9823 | − | 21.8628i | 1.16481 | − | 1.01936i | ||||
\(461\) | 21.5568 | + | 2.51963i | 1.00400 | + | 0.117351i | 0.602174 | − | 0.798365i | \(-0.294302\pi\) |
0.401826 | + | 0.915716i | \(0.368376\pi\) | |||||||
\(462\) | 0.307539 | − | 6.32091i | 0.0143080 | − | 0.294075i | ||||
\(463\) | 0.495943 | − | 2.09255i | 0.0230484 | − | 0.0972490i | −0.960305 | − | 0.278952i | \(-0.910013\pi\) |
0.983353 | + | 0.181703i | \(0.0581610\pi\) | |||||||
\(464\) | −30.6378 | − | 5.92929i | −1.42233 | − | 0.275261i | ||||
\(465\) | 13.0574 | + | 4.76470i | 0.605523 | + | 0.220958i | ||||
\(466\) | −2.22151 | − | 32.3497i | −0.102909 | − | 1.49857i | ||||
\(467\) | 18.7688 | + | 22.3678i | 0.868519 | + | 1.03506i | 0.999048 | + | 0.0436157i | \(0.0138877\pi\) |
−0.130530 | + | 0.991444i | \(0.541668\pi\) | |||||||
\(468\) | 18.4336 | + | 0.720272i | 0.852092 | + | 0.0332946i | ||||
\(469\) | 0.300876 | − | 0.358570i | 0.0138931 | − | 0.0165572i | ||||
\(470\) | −9.57730 | − | 6.97661i | −0.441768 | − | 0.321807i | ||||
\(471\) | 10.5687 | − | 14.1718i | 0.486978 | − | 0.653001i | ||||
\(472\) | −40.5696 | + | 6.02838i | −1.86737 | + | 0.277479i | ||||
\(473\) | −3.33654 | − | 28.5459i | −0.153414 | − | 1.31254i | ||||
\(474\) | −14.5183 | + | 29.6109i | −0.666848 | + | 1.36008i | ||||
\(475\) | 0.939432 | − | 0.617874i | 0.0431041 | − | 0.0283500i | ||||
\(476\) | 3.27254 | + | 5.40570i | 0.149997 | + | 0.247770i | ||||
\(477\) | −9.07729 | − | 1.07616i | −0.415621 | − | 0.0492740i | ||||
\(478\) | −5.28585 | + | 3.12543i | −0.241769 | + | 0.142954i | ||||
\(479\) | 5.43149 | − | 1.28729i | 0.248171 | − | 0.0588176i | −0.104647 | − | 0.994509i | \(-0.533371\pi\) |
0.352819 | + | 0.935692i | \(0.385223\pi\) | |||||||
\(480\) | 10.2183 | − | 19.9925i | 0.466398 | − | 0.912529i | ||||
\(481\) | 1.37403 | − | 23.5912i | 0.0626504 | − | 1.07567i | ||||
\(482\) | 2.11606 | + | 16.6063i | 0.0963837 | + | 0.756398i | ||||
\(483\) | 6.43980 | + | 4.24313i | 0.293021 | + | 0.193069i | ||||
\(484\) | −10.9831 | + | 7.55511i | −0.499231 | + | 0.343414i | ||||
\(485\) | −15.8362 | −0.719083 | ||||||||
\(486\) | −1.14395 | + | 22.0157i | −0.0518906 | + | 0.998653i | ||||
\(487\) | 21.5199i | 0.975158i | 0.873079 | + | 0.487579i | \(0.162120\pi\) | ||||
−0.873079 | + | 0.487579i | \(0.837880\pi\) | |||||||
\(488\) | 13.6687 | + | 1.16735i | 0.618752 | + | 0.0528433i | ||||
\(489\) | −22.3111 | + | 33.8616i | −1.00894 | + | 1.53127i | ||||
\(490\) | −2.71268 | − | 21.2885i | −0.122546 | − | 0.961717i | ||||
\(491\) | −12.5340 | − | 0.730025i | −0.565653 | − | 0.0329455i | −0.227064 | − | 0.973880i | \(-0.572913\pi\) |
−0.338589 | + | 0.940934i | \(0.609950\pi\) | |||||||
\(492\) | 16.6789 | − | 0.332756i | 0.751941 | − | 0.0150018i | ||||
\(493\) | 9.24786 | + | 39.0198i | 0.416503 | + | 1.75736i | ||||
\(494\) | −9.90672 | − | 16.7546i | −0.445724 | − | 0.753826i | ||||
\(495\) | 23.1482 | + | 17.2926i | 1.04044 | + | 0.777246i | ||||
\(496\) | −9.44200 | − | 10.3474i | −0.423958 | − | 0.464613i | ||||
\(497\) | −1.92153 | − | 2.92155i | −0.0861925 | − | 0.131049i | ||||
\(498\) | 7.10556 | − | 14.4922i | 0.318408 | − | 0.649411i | ||||
\(499\) | 36.5128 | − | 4.26773i | 1.63454 | − | 0.191050i | 0.751294 | − | 0.659968i | \(-0.229430\pi\) |
0.883242 | + | 0.468918i | \(0.155356\pi\) | |||||||
\(500\) | 14.6035 | − | 16.1376i | 0.653088 | − | 0.721694i | ||||
\(501\) | 7.37349 | + | 5.49881i | 0.329423 | + | 0.245669i | ||||
\(502\) | −5.31421 | + | 7.29520i | −0.237185 | + | 0.325601i | ||||
\(503\) | −4.09051 | − | 3.43234i | −0.182387 | − | 0.153041i | 0.547023 | − | 0.837117i | \(-0.315761\pi\) |
−0.729410 | + | 0.684077i | \(0.760205\pi\) | |||||||
\(504\) | 5.10850 | + | 1.05258i | 0.227551 | + | 0.0468856i | ||||
\(505\) | 30.7739 | − | 25.8223i | 1.36942 | − | 1.14908i | ||||
\(506\) | −2.94974 | − | 42.9542i | −0.131132 | − | 1.90955i | ||||
\(507\) | 2.10588 | − | 5.77104i | 0.0935252 | − | 0.256301i | ||||
\(508\) | −28.2133 | − | 11.4810i | −1.25176 | − | 0.509386i | ||||
\(509\) | −20.5547 | − | 4.87156i | −0.911073 | − | 0.215928i | −0.251753 | − | 0.967791i | \(-0.581007\pi\) |
−0.659319 | + | 0.751863i | \(0.729155\pi\) | |||||||
\(510\) | −28.8178 | − | 1.40211i | −1.27607 | − | 0.0620863i | ||||
\(511\) | −0.504477 | + | 4.31607i | −0.0223167 | + | 0.190932i | ||||
\(512\) | −18.4543 | + | 13.0934i | −0.815574 | + | 0.578653i | ||||
\(513\) | 20.1728 | − | 11.5803i | 0.890652 | − | 0.511285i | ||||
\(514\) | 26.4966 | − | 9.95681i | 1.16871 | − | 0.439176i | ||||
\(515\) | −1.76786 | − | 1.31613i | −0.0779014 | − | 0.0579954i | ||||
\(516\) | 23.6702 | + | 0.905344i | 1.04202 | + | 0.0398555i | ||||
\(517\) | −14.7217 | + | 4.40740i | −0.647461 | + | 0.193837i | ||||
\(518\) | 1.47323 | − | 6.51695i | 0.0647300 | − | 0.286338i | ||||
\(519\) | 0.0312324 | − | 37.8791i | 0.00137095 | − | 1.66271i | ||||
\(520\) | 14.1203 | + | 14.0620i | 0.619218 | + | 0.616659i | ||||
\(521\) | −18.1800 | + | 3.20563i | −0.796482 | + | 0.140441i | −0.557058 | − | 0.830474i | \(-0.688070\pi\) |
−0.239424 | + | 0.970915i | \(0.576959\pi\) | |||||||
\(522\) | 28.8083 | + | 16.2986i | 1.26091 | + | 0.713368i | ||||
\(523\) | 1.54959 | − | 8.78815i | 0.0677587 | − | 0.384279i | −0.932003 | − | 0.362451i | \(-0.881940\pi\) |
0.999762 | − | 0.0218283i | \(-0.00694870\pi\) | |||||||
\(524\) | 1.40534 | + | 0.389115i | 0.0613928 | + | 0.0169986i | ||||
\(525\) | −0.238883 | − | 0.120218i | −0.0104257 | − | 0.00524675i | ||||
\(526\) | −2.44479 | − | 4.74446i | −0.106598 | − | 0.206868i | ||||
\(527\) | −7.12960 | + | 16.5283i | −0.310570 | + | 0.719982i | ||||
\(528\) | −12.6125 | − | 26.2462i | −0.548889 | − | 1.14222i | ||||
\(529\) | 26.3345 | + | 13.2257i | 1.14498 | + | 0.575029i | ||||
\(530\) | −6.42535 | − | 7.49788i | −0.279099 | − | 0.325687i | ||||
\(531\) | 42.8296 | + | 7.62486i | 1.85865 | + | 0.330891i | ||||
\(532\) | −1.98924 | − | 5.13118i | −0.0862446 | − | 0.222465i | ||||
\(533\) | −4.24654 | + | 14.1844i | −0.183938 | + | 0.614396i | ||||
\(534\) | 4.78359 | + | 12.7618i | 0.207006 | + | 0.552257i | ||||
\(535\) | 9.44522 | + | 18.8070i | 0.408353 | + | 0.813097i | ||||
\(536\) | 0.431172 | − | 2.11022i | 0.0186238 | − | 0.0911475i | ||||
\(537\) | −12.7260 | − | 42.6358i | −0.549168 | − | 1.83987i | ||||
\(538\) | −6.89973 | − | 27.8213i | −0.297468 | − | 1.19946i | ||||
\(539\) | −24.1041 | − | 13.9165i | −1.03824 | − | 0.599427i | ||||
\(540\) | −17.0201 | + | 16.6567i | −0.732427 | + | 0.716790i | ||||
\(541\) | −17.6823 | + | 10.2089i | −0.760223 | + | 0.438915i | −0.829376 | − | 0.558691i | \(-0.811304\pi\) |
0.0691529 | + | 0.997606i | \(0.477970\pi\) | |||||||
\(542\) | −5.89915 | − | 6.12404i | −0.253390 | − | 0.263050i | ||||
\(543\) | −20.0858 | + | 2.33090i | −0.861962 | + | 0.100029i | ||||
\(544\) | 25.0899 | + | 14.6953i | 1.07572 | + | 0.630058i | ||||
\(545\) | 0.185510 | − | 0.282055i | 0.00794639 | − | 0.0120819i | ||||
\(546\) | −2.27624 | + | 4.03109i | −0.0974140 | + | 0.172515i | ||||
\(547\) | 8.06882 | + | 8.55245i | 0.344998 | + | 0.365676i | 0.876518 | − | 0.481369i | \(-0.159860\pi\) |
−0.531520 | + | 0.847046i | \(0.678379\pi\) | |||||||
\(548\) | 3.46874 | − | 4.31273i | 0.148177 | − | 0.184231i | ||||
\(549\) | −13.3511 | − | 5.78522i | −0.569810 | − | 0.246907i | ||||
\(550\) | 0.274517 | + | 1.46757i | 0.0117055 | + | 0.0625772i | ||||
\(551\) | −2.03062 | − | 34.8644i | −0.0865074 | − | 1.48527i | ||||
\(552\) | 35.3548 | + | 3.04877i | 1.50480 | + | 0.129764i | ||||
\(553\) | −4.94199 | − | 6.63825i | −0.210155 | − | 0.282287i | ||||
\(554\) | 16.6121 | + | 10.6805i | 0.705781 | + | 0.453769i | ||||
\(555\) | 20.9162 | + | 22.2065i | 0.887843 | + | 0.942615i | ||||
\(556\) | −16.7310 | − | 17.0116i | −0.709553 | − | 0.721454i | ||||
\(557\) | −36.4210 | + | 13.2562i | −1.54321 | + | 0.561682i | −0.966812 | − | 0.255489i | \(-0.917764\pi\) |
−0.576396 | + | 0.817170i | \(0.695541\pi\) | |||||||
\(558\) | 6.00377 | + | 13.5905i | 0.254160 | + | 0.575334i | ||||
\(559\) | −7.19069 | + | 19.7563i | −0.304134 | + | 0.835600i | ||||
\(560\) | 3.28897 | + | 4.57478i | 0.138985 | + | 0.193320i | ||||
\(561\) | −24.0761 | + | 28.6448i | −1.01649 | + | 1.20938i | ||||
\(562\) | −1.66244 | + | 1.79916i | −0.0701258 | + | 0.0758929i | ||||
\(563\) | 27.5078 | + | 25.9523i | 1.15932 | + | 1.09376i | 0.994207 | + | 0.107484i | \(0.0342794\pi\) |
0.165110 | + | 0.986275i | \(0.447202\pi\) | |||||||
\(564\) | −1.72103 | − | 12.5482i | −0.0724684 | − | 0.528373i | ||||
\(565\) | −32.5468 | + | 14.0393i | −1.36925 | + | 0.590638i | ||||
\(566\) | 11.8758 | − | 14.4554i | 0.499179 | − | 0.607604i | ||||
\(567\) | −4.78188 | − | 2.78189i | −0.200820 | − | 0.116828i | ||||
\(568\) | −14.1784 | − | 7.60709i | −0.594913 | − | 0.319186i | ||||
\(569\) | −27.3920 | + | 11.8158i | −1.14833 | + | 0.495343i | −0.883259 | − | 0.468885i | \(-0.844656\pi\) |
−0.265075 | + | 0.964228i | \(0.585397\pi\) | |||||||
\(570\) | 24.5039 | + | 5.56063i | 1.02636 | + | 0.232909i | ||||
\(571\) | −17.5119 | + | 18.5616i | −0.732851 | + | 0.776777i | −0.981427 | − | 0.191836i | \(-0.938556\pi\) |
0.248576 | + | 0.968612i | \(0.420037\pi\) | |||||||
\(572\) | 25.6026 | − | 3.53301i | 1.07050 | − | 0.147722i | ||||
\(573\) | −5.72795 | − | 15.7779i | −0.239288 | − | 0.659130i | ||||
\(574\) | −1.83986 | + | 3.76035i | −0.0767944 | + | 0.156954i | ||||
\(575\) | −1.70973 | − | 0.622290i | −0.0713005 | − | 0.0259513i | ||||
\(576\) | 22.9745 | − | 6.94053i | 0.957272 | − | 0.289189i | ||||
\(577\) | −41.4001 | + | 15.0684i | −1.72351 | + | 0.627306i | −0.998135 | − | 0.0610492i | \(-0.980555\pi\) |
−0.725374 | + | 0.688355i | \(0.758333\pi\) | |||||||
\(578\) | 1.40913 | − | 13.2478i | 0.0586121 | − | 0.551035i | ||||
\(579\) | 23.4849 | + | 7.05201i | 0.975998 | + | 0.293072i | ||||
\(580\) | 10.9640 | + | 34.0328i | 0.455256 | + | 1.41314i | ||||
\(581\) | 2.41871 | + | 3.24890i | 0.100345 | + | 0.134787i | ||||
\(582\) | −11.7337 | − | 12.2011i | −0.486376 | − | 0.505752i | ||||
\(583\) | −12.7847 | + | 0.744626i | −0.529490 | + | 0.0308393i | ||||
\(584\) | 7.42078 | + | 18.5671i | 0.307074 | + | 0.768312i | ||||
\(585\) | −9.45501 | − | 18.9041i | −0.390917 | − | 0.781590i | ||||
\(586\) | 0.0711014 | + | 6.84543i | 0.00293717 | + | 0.282782i | ||||
\(587\) | −19.6922 | + | 18.5787i | −0.812785 | + | 0.766823i | −0.975535 | − | 0.219844i | \(-0.929445\pi\) |
0.162750 | + | 0.986667i | \(0.447964\pi\) | |||||||
\(588\) | 14.3920 | − | 17.8636i | 0.593515 | − | 0.736680i | ||||
\(589\) | 8.61435 | − | 13.0975i | 0.354948 | − | 0.539673i | ||||
\(590\) | 28.4528 | + | 37.4014i | 1.17138 | + | 1.53979i | ||||
\(591\) | −12.9108 | − | 5.58179i | −0.531078 | − | 0.229604i | ||||
\(592\) | −8.32634 | − | 29.5947i | −0.342210 | − | 1.21634i | ||||
\(593\) | 30.7280 | − | 17.7408i | 1.26185 | − | 0.728529i | 0.288417 | − | 0.957505i | \(-0.406871\pi\) |
0.973432 | + | 0.228976i | \(0.0735378\pi\) | |||||||
\(594\) | 3.82824 | + | 30.6476i | 0.157075 | + | 1.25749i | ||||
\(595\) | 3.62013 | − | 6.27025i | 0.148411 | − | 0.257055i | ||||
\(596\) | −33.3252 | − | 15.8785i | −1.36505 | − | 0.650409i | ||||
\(597\) | −22.3784 | + | 23.6806i | −0.915886 | + | 0.969180i | ||||
\(598\) | −12.1739 | + | 29.0482i | −0.497828 | + | 1.18787i | ||||
\(599\) | −23.8901 | + | 11.9981i | −0.976123 | + | 0.490227i | −0.864014 | − | 0.503468i | \(-0.832057\pi\) |
−0.112109 | + | 0.993696i | \(0.535761\pi\) | |||||||
\(600\) | −1.22997 | + | 0.0373219i | −0.0502134 | + | 0.00152366i | ||||
\(601\) | −1.51186 | + | 5.04997i | −0.0616701 | + | 0.205992i | −0.983272 | − | 0.182145i | \(-0.941696\pi\) |
0.921602 | + | 0.388137i | \(0.126881\pi\) | |||||||
\(602\) | −2.91852 | + | 5.17850i | −0.118950 | + | 0.211060i | ||||
\(603\) | −1.14549 | + | 1.97652i | −0.0466481 | + | 0.0804901i | ||||
\(604\) | 0.288920 | + | 13.9067i | 0.0117560 | + | 0.565856i | ||||
\(605\) | 13.6493 | + | 6.85495i | 0.554924 | + | 0.278693i | ||||
\(606\) | 42.6966 | + | 4.57714i | 1.73443 | + | 0.185933i | ||||
\(607\) | 23.0741 | + | 9.95321i | 0.936550 | + | 0.403988i | 0.808977 | − | 0.587841i | \(-0.200022\pi\) |
0.127574 | + | 0.991829i | \(0.459281\pi\) | |||||||
\(608\) | −19.2963 | − | 16.3980i | −0.782568 | − | 0.665026i | ||||
\(609\) | −6.94343 | + | 4.55857i | −0.281362 | + | 0.184723i | ||||
\(610\) | −6.37523 | − | 14.3673i | −0.258125 | − | 0.581714i | ||||
\(611\) | 11.0708 | + | 1.95207i | 0.447875 | + | 0.0789724i | ||||
\(612\) | −20.2720 | − | 23.2418i | −0.819448 | − | 0.939493i | ||||
\(613\) | 29.0108 | − | 5.11540i | 1.17174 | − | 0.206609i | 0.446291 | − | 0.894888i | \(-0.352745\pi\) |
0.725446 | + | 0.688279i | \(0.241634\pi\) | |||||||
\(614\) | 17.6772 | + | 26.2783i | 0.713394 | + | 1.06050i | ||||
\(615\) | −9.54334 | − | 16.5611i | −0.384825 | − | 0.667807i | ||||
\(616\) | 7.30472 | + | 0.197412i | 0.294316 | + | 0.00795396i | ||||
\(617\) | 29.5685 | − | 8.85223i | 1.19038 | − | 0.356377i | 0.370459 | − | 0.928849i | \(-0.379200\pi\) |
0.819925 | + | 0.572471i | \(0.194015\pi\) | |||||||
\(618\) | −0.295863 | − | 2.33724i | −0.0119014 | − | 0.0940174i | ||||
\(619\) | 3.92634 | − | 5.27399i | 0.157813 | − | 0.211980i | −0.716183 | − | 0.697912i | \(-0.754113\pi\) |
0.873996 | + | 0.485933i | \(0.161520\pi\) | |||||||
\(620\) | −5.17492 | + | 15.1927i | −0.207830 | + | 0.610153i | ||||
\(621\) | −34.5234 | − | 14.9933i | −1.38538 | − | 0.601661i | ||||
\(622\) | 44.7439 | + | 7.41124i | 1.79407 | + | 0.297163i | ||||
\(623\) | −3.39698 | − | 0.397051i | −0.136097 | − | 0.0159075i | ||||
\(624\) | −0.371839 | + | 21.2982i | −0.0148855 | + | 0.852612i | ||||
\(625\) | −25.4868 | − | 6.04048i | −1.01947 | − | 0.241619i | ||||
\(626\) | −13.0368 | + | 4.05098i | −0.521057 | + | 0.161910i | ||||
\(627\) | 24.9811 | − | 20.9266i | 0.997649 | − | 0.835726i | ||||
\(628\) | 16.6239 | + | 11.8474i | 0.663365 | + | 0.472763i | ||||
\(629\) | −30.2636 | + | 25.3942i | −1.20669 | + | 1.01253i | ||||
\(630\) | −1.76393 | − | 5.70989i | −0.0702767 | − | 0.227487i | ||||
\(631\) | −13.3288 | + | 15.8846i | −0.530610 | + | 0.632356i | −0.963055 | − | 0.269304i | \(-0.913206\pi\) |
0.432445 | + | 0.901660i | \(0.357651\pi\) | |||||||
\(632\) | −34.5458 | − | 16.0220i | −1.37416 | − | 0.637321i | ||||
\(633\) | 0.745759 | − | 6.33508i | 0.0296413 | − | 0.251797i | ||||
\(634\) | −24.5786 | − | 1.17554i | −0.976140 | − | 0.0466866i | ||||
\(635\) | 4.05165 | + | 34.6641i | 0.160785 | + | 1.37560i | ||||
\(636\) | 1.01600 | − | 10.5059i | 0.0402870 | − | 0.416588i | ||||
\(637\) | 11.1883 | + | 17.0110i | 0.443296 | + | 0.673999i | ||||
\(638\) | 43.7381 | + | 15.4068i | 1.73161 | + | 0.609962i | ||||
\(639\) | 11.6911 | + | 12.4328i | 0.462492 | + | 0.491835i | ||||
\(640\) | 23.3348 | + | 11.2977i | 0.922388 | + | 0.446583i | ||||
\(641\) | 10.8104 | + | 45.6126i | 0.426984 | + | 1.80159i | 0.581440 | + | 0.813589i | \(0.302489\pi\) |
−0.154456 | + | 0.988000i | \(0.549362\pi\) | |||||||
\(642\) | −7.49164 | + | 21.2120i | −0.295671 | + | 0.837172i | ||||
\(643\) | −0.746305 | + | 12.8136i | −0.0294314 | + | 0.505318i | 0.951091 | + | 0.308911i | \(0.0999644\pi\) |
−0.980522 | + | 0.196407i | \(0.937073\pi\) | |||||||
\(644\) | −4.73782 | + | 7.54012i | −0.186696 | + | 0.297122i | ||||
\(645\) | −12.1607 | − | 24.2637i | −0.478825 | − | 0.955383i | ||||
\(646\) | −9.00837 | + | 31.2684i | −0.354430 | + | 1.23024i | ||||
\(647\) | −35.6489 | −1.40150 | −0.700751 | − | 0.713406i | \(-0.747151\pi\) | ||||
−0.700751 | + | 0.713406i | \(0.747151\pi\) | |||||||
\(648\) | −25.4441 | − | 0.771622i | −0.999540 | − | 0.0303122i | ||||
\(649\) | 60.9480 | 2.39242 | ||||||||
\(650\) | 0.302357 | − | 1.04949i | 0.0118594 | − | 0.0411645i | ||||
\(651\) | −3.72197 | − | 0.219859i | −0.145875 | − | 0.00861697i | ||||
\(652\) | −39.6472 | − | 24.9123i | −1.55271 | − | 0.975641i | ||||
\(653\) | −1.55919 | + | 26.7703i | −0.0610158 | + | 1.04760i | 0.819346 | + | 0.573299i | \(0.194337\pi\) |
−0.880362 | + | 0.474302i | \(0.842700\pi\) | |||||||
\(654\) | 0.354764 | − | 0.0660581i | 0.0138724 | − | 0.00258307i | ||||
\(655\) | −0.385310 | − | 1.62575i | −0.0150553 | − | 0.0635234i | ||||
\(656\) | 0.800053 | + | 19.2463i | 0.0312368 | + | 0.751441i | ||||
\(657\) | −1.19822 | − | 21.1742i | −0.0467471 | − | 0.826083i | ||||
\(658\) | 2.99784 | + | 1.05600i | 0.116868 | + | 0.0411670i | ||||
\(659\) | −18.7477 | − | 28.5046i | −0.730309 | − | 1.11038i | −0.989497 | − | 0.144553i | \(-0.953825\pi\) |
0.259188 | − | 0.965827i | \(-0.416545\pi\) | |||||||
\(660\) | −19.3859 | + | 27.1543i | −0.754596 | + | 1.05698i | ||||
\(661\) | −1.53903 | − | 13.1673i | −0.0598615 | − | 0.512147i | −0.989591 | − | 0.143905i | \(-0.954034\pi\) |
0.929730 | − | 0.368242i | \(-0.120040\pi\) | |||||||
\(662\) | 4.88804 | + | 0.233784i | 0.189979 | + | 0.00908627i | ||||
\(663\) | 25.1431 | − | 10.8211i | 0.976477 | − | 0.420257i | ||||
\(664\) | 16.9074 | + | 7.84150i | 0.656136 | + | 0.304309i | ||||
\(665\) | −4.05310 | + | 4.83030i | −0.157173 | + | 0.187311i | ||||
\(666\) | −1.61153 | + | 32.5688i | −0.0624454 | + | 1.26201i | ||||
\(667\) | −43.2900 | + | 36.3246i | −1.67620 | + | 1.40650i | ||||
\(668\) | −6.16413 | + | 8.64930i | −0.238497 | + | 0.334652i | ||||
\(669\) | 2.03610 | + | 11.6032i | 0.0787203 | + | 0.448607i | ||||
\(670\) | −2.35663 | + | 0.732284i | −0.0910447 | + | 0.0282906i | ||||
\(671\) | −19.8360 | − | 4.70121i | −0.765759 | − | 0.181488i | ||||
\(672\) | −1.08774 | + | 5.92366i | −0.0419606 | + | 0.228510i | ||||
\(673\) | −25.4278 | − | 2.97209i | −0.980172 | − | 0.114566i | −0.389109 | − | 0.921192i | \(-0.627217\pi\) |
−0.591062 | + | 0.806626i | \(0.701291\pi\) | |||||||
\(674\) | 27.6215 | + | 4.57514i | 1.06394 | + | 0.176228i | ||||
\(675\) | 1.24942 | + | 0.377422i | 0.0480903 | + | 0.0145270i | ||||
\(676\) | 6.71478 | + | 2.28718i | 0.258261 | + | 0.0879685i | ||||
\(677\) | −10.6931 | + | 14.3633i | −0.410968 | + | 0.552026i | −0.958623 | − | 0.284678i | \(-0.908113\pi\) |
0.547655 | + | 0.836704i | \(0.315521\pi\) | |||||||
\(678\) | −34.9319 | − | 14.6736i | −1.34155 | − | 0.563537i | ||||
\(679\) | 4.06947 | − | 1.21832i | 0.156172 | − | 0.0467548i | ||||
\(680\) | 0.900026 | − | 33.3031i | 0.0345144 | − | 1.27712i | ||||
\(681\) | −6.40110 | + | 11.0659i | −0.245291 | + | 0.424048i | ||||
\(682\) | 11.6184 | + | 17.2714i | 0.444890 | + | 0.661357i | ||||
\(683\) | 9.77682 | − | 1.72392i | 0.374100 | − | 0.0659639i | 0.0165627 | − | 0.999863i | \(-0.494728\pi\) |
0.357537 | + | 0.933899i | \(0.383617\pi\) | |||||||
\(684\) | 13.8717 | + | 22.9994i | 0.530399 | + | 0.879402i | ||||
\(685\) | −6.24505 | − | 1.10117i | −0.238611 | − | 0.0420736i | ||||
\(686\) | 4.80297 | + | 10.8240i | 0.183378 | + | 0.413263i | ||||
\(687\) | 0.246124 | + | 4.28667i | 0.00939020 | + | 0.163547i | ||||
\(688\) | −0.454908 | + | 27.3482i | −0.0173432 | + | 1.04264i | ||||
\(689\) | 8.60201 | + | 3.71055i | 0.327711 | + | 0.141361i | ||||
\(690\) | −16.4604 | − | 37.1780i | −0.626637 | − | 1.41534i | ||||
\(691\) | −46.9132 | − | 23.5607i | −1.78466 | − | 0.896292i | −0.916538 | − | 0.399948i | \(-0.869028\pi\) |
−0.868126 | − | 0.496344i | \(-0.834675\pi\) | |||||||
\(692\) | 43.7296 | − | 0.908510i | 1.66235 | − | 0.0345364i | ||||
\(693\) | −7.27885 | − | 2.66289i | −0.276501 | − | 0.101155i | ||||
\(694\) | 10.7056 | − | 18.9955i | 0.406378 | − | 0.721060i | ||||
\(695\) | −7.84083 | + | 26.1902i | −0.297420 | + | 0.993450i | ||||
\(696\) | −18.0972 | + | 33.6636i | −0.685972 | + | 1.27602i | ||||
\(697\) | 22.1203 | − | 11.1092i | 0.837866 | − | 0.420792i | ||||
\(698\) | 9.79185 | − | 23.3644i | 0.370627 | − | 0.884354i | ||||
\(699\) | −38.6354 | − | 9.19041i | −1.46133 | − | 0.347613i | ||||
\(700\) | 0.132827 | − | 0.278772i | 0.00502038 | − | 0.0105366i | ||||
\(701\) | 6.76080 | − | 11.7101i | 0.255352 | − | 0.442283i | −0.709639 | − | 0.704565i | \(-0.751142\pi\) |
0.964991 | + | 0.262283i | \(0.0844753\pi\) | |||||||
\(702\) | 7.55924 | − | 21.2916i | 0.285305 | − | 0.803598i | ||||
\(703\) | 29.7963 | − | 17.2029i | 1.12379 | − | 0.648820i | ||||
\(704\) | 29.9849 | − | 15.2148i | 1.13010 | − | 0.573428i | ||||
\(705\) | −11.6475 | + | 8.65634i | −0.438671 | + | 0.326017i | ||||
\(706\) | 4.80388 | + | 6.31474i | 0.180797 | + | 0.237658i | ||||
\(707\) | −5.92148 | + | 9.00317i | −0.222700 | + | 0.338599i | ||||
\(708\) | −7.73436 | + | 49.6339i | −0.290675 | + | 1.86536i | ||||
\(709\) | 35.0031 | − | 33.0237i | 1.31457 | − | 1.24023i | 0.363374 | − | 0.931643i | \(-0.381625\pi\) |
0.951195 | − | 0.308589i | \(-0.0998568\pi\) | |||||||
\(710\) | 0.191476 | + | 18.4347i | 0.00718596 | + | 0.691843i | ||||
\(711\) | 29.3331 | + | 27.7660i | 1.10008 | + | 1.04131i | ||||
\(712\) | −14.6133 | + | 5.84056i | −0.547658 | + | 0.218884i | ||||
\(713\) | −25.3238 | + | 1.47494i | −0.948383 | + | 0.0552370i | ||||
\(714\) | 7.51327 | − | 1.85673i | 0.281177 | − | 0.0694863i | ||||
\(715\) | −17.6835 | − | 23.7531i | −0.661326 | − | 0.888315i | ||||
\(716\) | 48.9027 | − | 15.7545i | 1.82758 | − | 0.588773i | ||||
\(717\) | 1.72839 | + | 7.31953i | 0.0645478 | + | 0.273353i | ||||
\(718\) | 3.30697 | − | 31.0900i | 0.123415 | − | 1.16027i | ||||
\(719\) | 19.5375 | − | 7.11106i | 0.728625 | − | 0.265198i | 0.0490425 | − | 0.998797i | \(-0.484383\pi\) |
0.679583 | + | 0.733599i | \(0.262161\pi\) | |||||||
\(720\) | −19.6534 | − | 19.2331i | −0.732440 | − | 0.716777i | ||||
\(721\) | 0.555547 | + | 0.202203i | 0.0206897 | + | 0.00753042i | ||||
\(722\) | 0.645635 | − | 1.31956i | 0.0240280 | − | 0.0491090i | ||||
\(723\) | 20.1885 | + | 3.57695i | 0.750820 | + | 0.133028i | ||||
\(724\) | −3.19173 | − | 23.1295i | −0.118620 | − | 0.859601i | ||||
\(725\) | 1.34477 | − | 1.42538i | 0.0499436 | − | 0.0529371i | ||||
\(726\) | 4.83190 | + | 15.5953i | 0.179328 | + | 0.578798i | ||||
\(727\) | −26.5791 | + | 11.4651i | −0.985765 | + | 0.425218i | −0.827063 | − | 0.562109i | \(-0.809990\pi\) |
−0.158702 | + | 0.987327i | \(0.550731\pi\) | |||||||
\(728\) | −4.71038 | − | 2.52724i | −0.174578 | − | 0.0936658i | ||||
\(729\) | 25.3257 | + | 9.35995i | 0.937989 | + | 0.346665i | ||||
\(730\) | 14.5431 | − | 17.7020i | 0.538265 | − | 0.655180i | ||||
\(731\) | 32.2734 | − | 13.9214i | 1.19367 | − | 0.514901i | ||||
\(732\) | 6.34571 | − | 15.5572i | 0.234544 | − | 0.575009i | ||||
\(733\) | 7.34595 | + | 6.93054i | 0.271329 | + | 0.255985i | 0.809864 | − | 0.586617i | \(-0.199541\pi\) |
−0.538535 | + | 0.842603i | \(0.681022\pi\) | |||||||
\(734\) | 19.4240 | − | 21.0214i | 0.716952 | − | 0.775914i | ||||
\(735\) | −25.8807 | − | 4.58548i | −0.954626 | − | 0.169138i | ||||
\(736\) | −2.63798 | + | 40.8907i | −0.0972373 | + | 1.50725i | ||||
\(737\) | −1.09465 | + | 3.00753i | −0.0403221 | + | 0.110784i | ||||
\(738\) | 5.68856 | − | 19.6235i | 0.209399 | − | 0.722352i | ||||
\(739\) | −8.29970 | + | 3.02084i | −0.305310 | + | 0.111124i | −0.490132 | − | 0.871648i | \(-0.663051\pi\) |
0.184822 | + | 0.982772i | \(0.440829\pi\) | |||||||
\(740\) | −25.1143 | + | 24.7001i | −0.923221 | + | 0.907992i | ||||
\(741\) | −23.2008 | + | 5.47849i | −0.852303 | + | 0.201257i | ||||
\(742\) | 2.22798 | + | 1.43244i | 0.0817915 | + | 0.0525864i | ||||
\(743\) | −0.247624 | − | 0.332617i | −0.00908445 | − | 0.0122025i | 0.797558 | − | 0.603243i | \(-0.206125\pi\) |
−0.806642 | + | 0.591040i | \(0.798718\pi\) | |||||||
\(744\) | −15.5396 | + | 7.26983i | −0.569711 | + | 0.266525i | ||||
\(745\) | 2.45929 | + | 42.2243i | 0.0901013 | + | 1.54698i | ||||
\(746\) | −3.92755 | − | 20.9966i | −0.143798 | − | 0.768740i | ||||
\(747\) | −14.3563 | − | 13.5892i | −0.525268 | − | 0.497204i | ||||
\(748\) | −33.6688 | − | 27.0799i | −1.23105 | − | 0.990138i | ||||
\(749\) | −3.87404 | − | 4.10625i | −0.141554 | − | 0.150039i | ||||
\(750\) | −13.5480 | − | 22.9560i | −0.494701 | − | 0.838235i | ||||
\(751\) | −14.8022 | + | 22.5056i | −0.540140 | + | 0.821243i | −0.997689 | − | 0.0679415i | \(-0.978357\pi\) |
0.457549 | + | 0.889184i | \(0.348727\pi\) | |||||||
\(752\) | 14.4431 | − | 2.29972i | 0.526685 | − | 0.0838620i | ||||
\(753\) | 6.59368 | + | 8.87211i | 0.240287 | + | 0.323318i | ||||
\(754\) | −23.5340 | − | 24.4311i | −0.857057 | − | 0.889730i | ||||
\(755\) | 13.8022 | − | 7.96868i | 0.502312 | − | 0.290010i | ||||
\(756\) | 3.09226 | − | 5.58973i | 0.112464 | − | 0.203296i | ||||
\(757\) | −29.3041 | − | 16.9187i | −1.06507 | − | 0.614921i | −0.138243 | − | 0.990398i | \(-0.544145\pi\) |
−0.926832 | + | 0.375477i | \(0.877479\pi\) | |||||||
\(758\) | −2.30759 | − | 9.30474i | −0.0838155 | − | 0.337963i | ||||
\(759\) | −51.3004 | − | 12.2031i | −1.86209 | − | 0.442945i | ||||
\(760\) | −5.80833 | + | 28.4268i | −0.210690 | + | 1.03115i | ||||
\(761\) | −1.05646 | − | 2.10359i | −0.0382968 | − | 0.0762552i | 0.873670 | − | 0.486518i | \(-0.161733\pi\) |
−0.911967 | + | 0.410263i | \(0.865437\pi\) | |||||||
\(762\) | −23.7052 | + | 28.8057i | −0.858748 | + | 1.04352i | ||||
\(763\) | −0.0259720 | + | 0.0867524i | −0.000940248 | + | 0.00314065i | ||||
\(764\) | 18.0716 | − | 7.00596i | 0.653809 | − | 0.253467i | ||||
\(765\) | −12.1404 | + | 33.1852i | −0.438938 | + | 1.19981i | ||||
\(766\) | 22.3524 | + | 26.0835i | 0.807625 | + | 0.942435i | ||||
\(767\) | −39.8425 | − | 20.0096i | −1.43863 | − | 0.722506i | ||||
\(768\) | 8.58527 | + | 26.3494i | 0.309794 | + | 0.950804i | ||||
\(769\) | −5.32502 | + | 12.3448i | −0.192025 | + | 0.445165i | −0.986843 | − | 0.161684i | \(-0.948307\pi\) |
0.794817 | + | 0.606849i | \(0.207567\pi\) | |||||||
\(770\) | −3.83513 | − | 7.44260i | −0.138208 | − | 0.268213i | ||||
\(771\) | −1.98718 | − | 34.6101i | −0.0715665 | − | 1.24645i | ||||
\(772\) | −7.55544 | + | 27.2875i | −0.271926 | + | 0.982099i | ||||
\(773\) | −8.48404 | + | 48.1154i | −0.305150 | + | 1.73059i | 0.317649 | + | 0.948209i | \(0.397107\pi\) |
−0.622798 | + | 0.782382i | \(0.714004\pi\) | |||||||
\(774\) | 9.68385 | − | 27.3473i | 0.348079 | − | 0.982977i | ||||
\(775\) | 0.866270 | − | 0.152747i | 0.0311173 | − | 0.00548683i | ||||
\(776\) | 13.7927 | − | 13.8500i | 0.495130 | − | 0.497185i | ||||
\(777\) | −7.08332 | − | 4.09734i | −0.254113 | − | 0.146991i | ||||
\(778\) | 7.91658 | − | 35.0196i | 0.283823 | − | 1.25552i | ||||
\(779\) | −20.6518 | + | 6.18275i | −0.739928 | + | 0.221520i | ||||
\(780\) | 21.5878 | − | 11.3866i | 0.772966 | − | 0.407704i | ||||
\(781\) | 19.1787 | + | 14.2780i | 0.686268 | + | 0.510907i | ||||
\(782\) | 49.2894 | − | 18.5219i | 1.76259 | − | 0.662340i | ||||
\(783\) | 29.5551 | − | 27.7460i | 1.05621 | − | 0.991560i | ||||
\(784\) | 20.9811 | + | 16.1691i | 0.749326 | + | 0.577468i | ||||
\(785\) | 2.71533 | − | 23.2312i | 0.0969145 | − | 0.829156i | ||||
\(786\) | 0.967082 | − | 1.50145i | 0.0344947 | − | 0.0535550i | ||||
\(787\) | 40.4810 | + | 9.59417i | 1.44299 | + | 0.341995i | 0.876233 | − | 0.481888i | \(-0.160049\pi\) |
0.566759 | + | 0.823884i | \(0.308197\pi\) | |||||||
\(788\) | 6.12185 | − | 15.0438i | 0.218082 | − | 0.535913i | ||||
\(789\) | −6.43848 | + | 1.12980i | −0.229216 | + | 0.0402221i | ||||
\(790\) | 2.98921 | + | 43.5290i | 0.106351 | + | 1.54869i | ||||
\(791\) | 7.28357 | − | 6.11164i | 0.258974 | − | 0.217305i | ||||
\(792\) | −35.2851 | + | 5.18368i | −1.25380 | + | 0.184194i | ||||
\(793\) | 11.4236 | + | 9.58553i | 0.405664 | + | 0.340392i | ||||
\(794\) | −14.8964 | + | 20.4493i | −0.528653 | + | 0.725720i | ||||
\(795\) | −11.1085 | + | 4.78087i | −0.393977 | + | 0.169560i | ||||
\(796\) | −27.8956 | − | 25.2438i | −0.988733 | − | 0.894743i | ||||
\(797\) | −44.3212 | + | 5.18040i | −1.56994 | + | 0.183499i | −0.856099 | − | 0.516812i | \(-0.827119\pi\) |
−0.713838 | + | 0.700311i | \(0.753045\pi\) | |||||||
\(798\) | −6.72465 | + | 0.456222i | −0.238050 | + | 0.0161501i | ||||
\(799\) | −10.3272 | − | 15.7017i | −0.365349 | − | 0.555486i | ||||
\(800\) | −0.0737566 | − | 1.41899i | −0.00260769 | − | 0.0501688i | ||||
\(801\) | 16.6652 | − | 0.943066i | 0.588837 | − | 0.0333216i | ||||
\(802\) | −14.1124 | − | 23.8675i | −0.498327 | − | 0.842790i | ||||
\(803\) | −6.85220 | − | 28.9117i | −0.241809 | − | 1.02027i | ||||
\(804\) | −2.31032 | − | 1.27311i | −0.0814787 | − | 0.0448990i | ||||
\(805\) | 10.1859 | + | 0.593263i | 0.359007 | + | 0.0209098i | ||||
\(806\) | −1.92474 | − | 15.1049i | −0.0677961 | − | 0.532049i | ||||
\(807\) | −35.0451 | − | 2.07014i | −1.23365 | − | 0.0728725i | ||||
\(808\) | −4.21929 | + | 49.4045i | −0.148434 | + | 1.73804i | ||||
\(809\) | 27.3062i | 0.960036i | 0.877259 | + | 0.480018i | \(0.159370\pi\) | ||||
−0.877259 | + | 0.480018i | \(0.840630\pi\) | |||||||
\(810\) | 13.2744 | + | 25.9708i | 0.466414 | + | 0.912521i | ||||
\(811\) | 32.0395 | 1.12506 | 0.562529 | − | 0.826778i | \(-0.309829\pi\) | ||||
0.562529 | + | 0.826778i | \(0.309829\pi\) | |||||||
\(812\) | −5.43570 | − | 7.90204i | −0.190756 | − | 0.277307i | ||||
\(813\) | −9.31033 | + | 4.66621i | −0.326527 | + | 0.163651i | ||||
\(814\) | 5.77469 | + | 45.3184i | 0.202403 | + | 1.58841i | ||||
\(815\) | −3.11948 | + | 53.5594i | −0.109271 | + | 1.87610i | ||||
\(816\) | 26.3255 | − | 23.9822i | 0.921578 | − | 0.839546i | ||||
\(817\) | −29.7850 | + | 7.05918i | −1.04205 | + | 0.246969i | ||||
\(818\) | 5.71658 | − | 3.38012i | 0.199876 | − | 0.118183i | ||||
\(819\) | 3.88403 | + | 4.13046i | 0.135719 | + | 0.144330i | ||||
\(820\) | 18.8806 | − | 11.4301i | 0.659340 | − | 0.399156i | ||||
\(821\) | 24.0912 | − | 15.8450i | 0.840788 | − | 0.552995i | −0.0544844 | − | 0.998515i | \(-0.517352\pi\) |
0.895272 | + | 0.445520i | \(0.146981\pi\) | |||||||
\(822\) | −3.77881 | − | 5.62745i | −0.131801 | − | 0.196280i | ||||
\(823\) | −2.97868 | − | 25.4843i | −0.103830 | − | 0.888325i | −0.940308 | − | 0.340324i | \(-0.889463\pi\) |
0.836478 | − | 0.548001i | \(-0.184611\pi\) | |||||||
\(824\) | 2.69080 | − | 0.399836i | 0.0937385 | − | 0.0139289i | ||||
\(825\) | 1.81603 | + | 0.213781i | 0.0632260 | + | 0.00744291i | ||||
\(826\) | −10.1890 | − | 7.42221i | −0.354521 | − | 0.258252i | ||||
\(827\) | 15.8996 | − | 18.9484i | 0.552884 | − | 0.658901i | −0.415141 | − | 0.909757i | \(-0.636268\pi\) |
0.968024 | + | 0.250856i | \(0.0807121\pi\) | |||||||
\(828\) | 16.4479 | − | 40.2287i | 0.571603 | − | 1.39805i | ||||
\(829\) | 10.3677 | + | 12.3558i | 0.360086 | + | 0.429134i | 0.915424 | − | 0.402491i | \(-0.131855\pi\) |
−0.555338 | + | 0.831625i | \(0.687411\pi\) | |||||||
\(830\) | −1.46298 | − | 21.3040i | −0.0507807 | − | 0.739472i | ||||
\(831\) | 18.5418 | − | 15.5324i | 0.643207 | − | 0.538812i | ||||
\(832\) | −24.5966 | + | 0.101837i | −0.852734 | + | 0.00353056i | ||||
\(833\) | 7.84980 | − | 33.1209i | 0.271979 | − | 1.14757i | ||||
\(834\) | −25.9880 | + | 13.3644i | −0.899892 | + | 0.462770i | ||||
\(835\) | 12.0870 | + | 1.41277i | 0.418289 | + | 0.0488910i | ||||
\(836\) | 24.7812 | + | 28.3171i | 0.857076 | + | 0.979368i | ||||
\(837\) | 18.0789 | − | 2.06780i | 0.624898 | − | 0.0714737i | ||||
\(838\) | 17.0717 | − | 6.41518i | 0.589734 | − | 0.221609i | ||||
\(839\) | −3.21182 | + | 4.31422i | −0.110884 | + | 0.148943i | −0.854101 | − | 0.520108i | \(-0.825892\pi\) |
0.743217 | + | 0.669051i | \(0.233299\pi\) | |||||||
\(840\) | 6.54768 | − | 2.17872i | 0.225917 | − | 0.0751730i | ||||
\(841\) | −9.13886 | − | 30.5259i | −0.315133 | − | 1.05262i | ||||
\(842\) | 41.7336 | + | 9.43434i | 1.43823 | + | 0.325129i | ||||
\(843\) | 1.49794 | + | 2.59946i | 0.0515919 | + | 0.0895301i | ||||
\(844\) | 7.33201 | + | 0.702955i | 0.252378 | + | 0.0241967i | ||||
\(845\) | −1.41136 | − | 8.00420i | −0.0485521 | − | 0.275353i | ||||
\(846\) | −15.2995 | − | 2.56009i | −0.526007 | − | 0.0880176i | ||||
\(847\) | −4.03488 | − | 0.711459i | −0.138640 | − | 0.0244460i | ||||
\(848\) | 12.1537 | + | 0.910921i | 0.417361 | + | 0.0312811i | ||||
\(849\) | −12.5749 | − | 19.1536i | −0.431570 | − | 0.657350i | ||||
\(850\) | −1.62308 | + | 0.836360i | −0.0556710 | + | 0.0286869i | ||||
\(851\) | −51.1202 | − | 22.0511i | −1.75238 | − | 0.755902i | ||||
\(852\) | −14.0613 | + | 13.8066i | −0.481733 | + | 0.473006i | ||||
\(853\) | −16.9061 | + | 33.6628i | −0.578854 | + | 1.15259i | 0.393552 | + | 0.919302i | \(0.371246\pi\) |
−0.972407 | + | 0.233292i | \(0.925050\pi\) | |||||||
\(854\) | 2.74358 | + | 3.20154i | 0.0938833 | + | 0.109555i | ||||
\(855\) | 15.4310 | − | 26.6257i | 0.527728 | − | 0.910581i | ||||
\(856\) | −24.6746 | − | 8.11963i | −0.843361 | − | 0.277523i | ||||
\(857\) | −14.0785 | − | 4.21484i | −0.480914 | − | 0.143976i | 0.0371650 | − | 0.999309i | \(-0.488167\pi\) |
−0.518078 | + | 0.855333i | \(0.673352\pi\) | |||||||
\(858\) | 5.19831 | − | 31.2241i | 0.177467 | − | 1.06597i | ||||
\(859\) | −16.1514 | + | 8.11152i | −0.551077 | + | 0.276762i | −0.702471 | − | 0.711712i | \(-0.747920\pi\) |
0.151394 | + | 0.988474i | \(0.451624\pi\) | |||||||
\(860\) | 27.7076 | − | 14.6437i | 0.944820 | − | 0.499346i | ||||
\(861\) | 3.72647 | + | 3.52156i | 0.126998 | + | 0.120014i | ||||
\(862\) | −10.8098 | − | 43.5878i | −0.368184 | − | 1.48460i | ||||
\(863\) | 22.8747 | − | 39.6201i | 0.778663 | − | 1.34868i | −0.154049 | − | 0.988063i | \(-0.549231\pi\) |
0.932712 | − | 0.360621i | \(-0.117435\pi\) | |||||||
\(864\) | 0.256301 | − | 29.3928i | 0.00871953 | − | 0.999962i | ||||
\(865\) | −25.0575 | − | 43.4009i | −0.851981 | − | 1.47567i | ||||
\(866\) | 1.61710 | − | 1.55772i | 0.0549514 | − | 0.0529335i | ||||
\(867\) | −14.9769 | − | 6.47505i | −0.508642 | − | 0.219904i | ||||
\(868\) | 0.161000 | − | 4.30224i | 0.00546471 | − | 0.146027i | ||||
\(869\) | 47.2779 | + | 31.0951i | 1.60379 | + | 1.05483i | ||||
\(870\) | 43.7892 | − | 0.418715i | 1.48459 | − | 0.0141958i | ||||
\(871\) | 1.70298 | − | 1.60668i | 0.0577034 | − | 0.0544403i | ||||
\(872\) | 0.0851060 | + | 0.407903i | 0.00288205 | + | 0.0138133i | ||||
\(873\) | −18.5422 | + | 9.27397i | −0.627557 | + | 0.313876i | ||||
\(874\) | −45.0748 | + | 8.43153i | −1.52468 | + | 0.285201i | ||||
\(875\) | 6.67782 | − | 0.388939i | 0.225751 | − | 0.0131485i | ||||
\(876\) | 24.4142 | − | 1.91127i | 0.824881 | − | 0.0645759i | ||||
\(877\) | 15.2706 | − | 11.3685i | 0.515652 | − | 0.383888i | −0.307644 | − | 0.951502i | \(-0.599540\pi\) |
0.823295 | + | 0.567613i | \(0.192133\pi\) | |||||||
\(878\) | −31.2654 | − | 20.1015i | −1.05516 | − | 0.678393i | ||||
\(879\) | 8.03014 | + | 2.41128i | 0.270850 | + | 0.0813306i | ||||
\(880\) | −31.8311 | − | 21.7026i | −1.07303 | − | 0.731594i | ||||
\(881\) | 2.43451 | + | 6.68877i | 0.0820209 | + | 0.225351i | 0.973923 | − | 0.226877i | \(-0.0728516\pi\) |
−0.891902 | + | 0.452228i | \(0.850629\pi\) | |||||||
\(882\) | −15.6432 | − | 23.3376i | −0.526734 | − | 0.785818i | ||||
\(883\) | 12.3074 | + | 4.47951i | 0.414175 | + | 0.150748i | 0.540699 | − | 0.841216i | \(-0.318160\pi\) |
−0.126524 | + | 0.991964i | \(0.540382\pi\) | |||||||
\(884\) | 13.1192 | + | 28.7562i | 0.441246 | + | 0.967174i | ||||
\(885\) | 54.1007 | − | 19.6406i | 1.81858 | − | 0.660210i | ||||
\(886\) | −2.15621 | + | 2.33354i | −0.0724393 | + | 0.0783967i | ||||
\(887\) | 39.8996 | − | 42.2911i | 1.33970 | − | 1.42000i | 0.511812 | − | 0.859097i | \(-0.328974\pi\) |
0.827885 | − | 0.560898i | \(-0.189544\pi\) | |||||||
\(888\) | −37.6386 | − | 1.04825i | −1.26307 | − | 0.0351770i | ||||
\(889\) | −3.70797 | − | 8.59604i | −0.124361 | − | 0.288302i | ||||
\(890\) | 13.9324 | + | 11.4462i | 0.467016 | + | 0.383678i | ||||
\(891\) | 37.2306 | + | 6.69144i | 1.24727 | + | 0.224172i | ||||
\(892\) | −13.3444 | + | 2.63988i | −0.446803 | + | 0.0883898i | ||||
\(893\) | 6.48268 | + | 15.0286i | 0.216935 | + | 0.502911i | ||||
\(894\) | −30.7099 | + | 33.1805i | −1.02709 | + | 1.10972i | ||||
\(895\) | −42.8186 | − | 40.3972i | −1.43127 | − | 1.35033i | ||||
\(896\) | −6.86559 | − | 1.10801i | −0.229363 | − | 0.0370160i | ||||
\(897\) | 29.5294 | + | 24.8196i | 0.985958 | + | 0.828703i | ||||
\(898\) | −27.2836 | − | 13.3493i | −0.910465 | − | 0.445472i | ||||
\(899\) | 9.34429 | − | 25.6732i | 0.311649 | − | 0.856250i | ||||
\(900\) | −0.404552 | + | 1.45178i | −0.0134851 | + | 0.0483928i | ||||
\(901\) | −5.35658 | − | 14.7171i | −0.178454 | − | 0.490297i | ||||
\(902\) | 3.02764 | − | 28.4639i | 0.100809 | − | 0.947746i | ||||
\(903\) | 4.99164 | + | 5.29958i | 0.166111 | + | 0.176359i | ||||
\(904\) | 16.0686 | − | 40.6924i | 0.534434 | − | 1.35341i | ||||
\(905\) | −21.4586 | + | 15.9754i | −0.713309 | + | 0.531039i | ||||
\(906\) | 16.3661 | + | 4.72966i | 0.543728 | + | 0.157133i | ||||
\(907\) | −0.492262 | − | 8.45181i | −0.0163453 | − | 0.280638i | −0.996570 | − | 0.0827512i | \(-0.973629\pi\) |
0.980225 | − | 0.197886i | \(-0.0634077\pi\) | |||||||
\(908\) | −12.9345 | − | 7.11368i | −0.429246 | − | 0.236076i | ||||
\(909\) | 20.9103 | − | 48.2565i | 0.693550 | − | 1.60057i | ||||
\(910\) | 0.0636125 | + | 6.12442i | 0.00210873 | + | 0.203023i | ||||
\(911\) | 34.1627 | + | 36.2103i | 1.13186 | + | 1.19970i | 0.977332 | + | 0.211713i | \(0.0679044\pi\) |
0.154528 | + | 0.987988i | \(0.450614\pi\) | |||||||
\(912\) | −26.2053 | + | 16.5875i | −0.867743 | + | 0.549267i | ||||
\(913\) | −23.1388 | − | 15.2186i | −0.765782 | − | 0.503663i | ||||
\(914\) | −34.2901 | + | 26.0859i | −1.13422 | + | 0.862845i | ||||
\(915\) | −19.1225 | + | 2.21911i | −0.632169 | + | 0.0733617i | ||||
\(916\) | −4.94252 | + | 0.391026i | −0.163306 | + | 0.0129199i | ||||
\(917\) | 0.224088 | + | 0.388132i | 0.00740004 | + | 0.0128172i | ||||
\(918\) | −34.5631 | + | 15.2346i | −1.14075 | + | 0.502816i | ||||
\(919\) | 22.0737 | + | 12.7442i | 0.728143 | + | 0.420394i | 0.817742 | − | 0.575584i | \(-0.195225\pi\) |
−0.0895994 | + | 0.995978i | \(0.528559\pi\) | |||||||
\(920\) | 42.5089 | − | 19.9295i | 1.40148 | − | 0.657056i | ||||
\(921\) | 37.1681 | − | 11.0940i | 1.22473 | − | 0.365560i | ||||
\(922\) | 28.3080 | + | 11.8637i | 0.932273 | + | 0.390710i | ||||
\(923\) | −7.84979 | − | 15.6302i | −0.258379 | − | 0.514475i | ||||
\(924\) | 2.89261 | − | 8.46934i | 0.0951600 | − | 0.278621i | ||||
\(925\) | 1.84947 | + | 0.553694i | 0.0608101 | + | 0.0182053i | ||||
\(926\) | 1.49321 | − | 2.64949i | 0.0490699 | − | 0.0870675i | ||||
\(927\) | −2.84070 | − | 0.505723i | −0.0933007 | − | 0.0166101i | ||||
\(928\) | −39.3136 | − | 20.0525i | −1.29053 | − | 0.658256i | ||||
\(929\) | −9.57265 | + | 19.0607i | −0.314069 | + | 0.625362i | −0.994178 | − | 0.107749i | \(-0.965636\pi\) |
0.680110 | + | 0.733110i | \(0.261932\pi\) | |||||||
\(930\) | 15.8788 | + | 11.5870i | 0.520687 | + | 0.379954i | ||||
\(931\) | −11.7413 | + | 27.2195i | −0.384807 | + | 0.892083i | ||||
\(932\) | 9.64628 | − | 44.8311i | 0.315974 | − | 1.46849i | ||||
\(933\) | 24.9701 | − | 49.6176i | 0.817485 | − | 1.62441i | ||||
\(934\) | 16.7486 | + | 37.7447i | 0.548030 | + | 1.23505i | ||||
\(935\) | −8.59666 | + | 48.7541i | −0.281141 | + | 1.59443i | ||||
\(936\) | 24.7681 | + | 8.19569i | 0.809572 | + | 0.267885i | ||||
\(937\) | 6.89161 | + | 39.0843i | 0.225139 | + | 1.27683i | 0.862419 | + | 0.506195i | \(0.168948\pi\) |
−0.637280 | + | 0.770633i | \(0.719940\pi\) | |||||||
\(938\) | 0.549255 | − | 0.369480i | 0.0179338 | − | 0.0120639i | ||||
\(939\) | −0.0137860 | + | 16.7199i | −0.000449889 | + | 0.545633i | ||||
\(940\) | −10.2836 | − | 13.2304i | −0.335414 | − | 0.431528i | ||||
\(941\) | −7.60279 | − | 25.3951i | −0.247844 | − | 0.827856i | −0.987871 | − | 0.155279i | \(-0.950372\pi\) |
0.740027 | − | 0.672577i | \(-0.234813\pi\) | |||||||
\(942\) | 19.9106 | − | 15.1209i | 0.648721 | − | 0.492665i | ||||
\(943\) | 27.9804 | + | 20.8307i | 0.911168 | + | 0.678340i | ||||
\(944\) | −57.4918 | − | 7.69110i | −1.87120 | − | 0.250324i | ||||
\(945\) | −7.31922 | − | 0.0181047i | −0.238094 | − | 0.000588947i | ||||
\(946\) | 6.64180 | − | 40.0985i | 0.215943 | − | 1.30372i | ||||
\(947\) | 3.68945 | − | 31.5653i | 0.119891 | − | 1.02573i | −0.790636 | − | 0.612286i | \(-0.790250\pi\) |
0.910528 | − | 0.413448i | \(-0.135676\pi\) | |||||||
\(948\) | −31.3224 | + | 34.5555i | −1.01731 | + | 1.12231i | ||||
\(949\) | −5.01254 | + | 21.1496i | −0.162714 | + | 0.686544i | ||||
\(950\) | 1.51853 | − | 0.471859i | 0.0492678 | − | 0.0153091i | ||||
\(951\) | −10.3308 | + | 28.3109i | −0.334998 | + | 0.918045i | ||||
\(952\) | 2.33082 | + | 8.62726i | 0.0755423 | + | 0.279611i | ||||
\(953\) | 1.63245 | + | 1.94547i | 0.0528801 | + | 0.0630201i | 0.791836 | − | 0.610734i | \(-0.209125\pi\) |
−0.738956 | + | 0.673754i | \(0.764681\pi\) | |||||||
\(954\) | −11.9142 | − | 5.01627i | −0.385736 | − | 0.162408i | ||||
\(955\) | −17.0120 | − | 14.2747i | −0.550494 | − | 0.461919i | ||||
\(956\) | −8.40679 | + | 2.17783i | −0.271895 | + | 0.0704359i | ||||
\(957\) | 33.9527 | − | 45.5280i | 1.09753 | − | 1.47171i | ||||
\(958\) | 7.88506 | + | 0.377125i | 0.254755 | + | 0.0121843i | ||||
\(959\) | 1.68953 | − | 0.197478i | 0.0545577 | − | 0.00637688i | ||||
\(960\) | 21.7133 | − | 23.1681i | 0.700792 | − | 0.747748i | ||||
\(961\) | −15.6539 | + | 10.2957i | −0.504964 | + | 0.332120i | ||||
\(962\) | 11.1034 | − | 31.5211i | 0.357987 | − | 1.01628i | ||||
\(963\) | 22.0729 | + | 16.4893i | 0.711290 | + | 0.531361i | ||||
\(964\) | −3.62592 | + | 23.3955i | −0.116783 | + | 0.753518i | ||||
\(965\) | 31.5672 | − | 7.48155i | 1.01618 | − | 0.240840i | ||||
\(966\) | 7.09009 | + | 8.28740i | 0.228120 | + | 0.266643i | ||||
\(967\) | −7.93203 | − | 0.461988i | −0.255077 | − | 0.0148565i | −0.0698700 | − | 0.997556i | \(-0.522258\pi\) |
−0.185207 | + | 0.982700i | \(0.559295\pi\) | |||||||
\(968\) | −17.8833 | + | 5.96698i | −0.574790 | + | 0.191786i | ||||
\(969\) | 33.2790 | + | 21.9273i | 1.06908 | + | 0.704406i | ||||
\(970\) | −21.5204 | − | 6.19998i | −0.690979 | − | 0.199069i | ||||
\(971\) | − | 20.7008i | − | 0.664321i | −0.943223 | − | 0.332161i | \(-0.892222\pi\) | ||
0.943223 | − | 0.332161i | \(-0.107778\pi\) | |||||||
\(972\) | −10.1739 | + | 29.4702i | −0.326328 | + | 0.945257i | ||||
\(973\) | − | 7.33340i | − | 0.235098i | ||||||
\(974\) | −8.42520 | + | 29.2442i | −0.269961 | + | 0.937045i | ||||
\(975\) | −1.11698 | − | 0.735967i | −0.0357719 | − | 0.0235698i | ||||
\(976\) | 18.1179 | + | 6.93775i | 0.579940 | + | 0.222072i | ||||
\(977\) | 54.4109 | + | 3.16907i | 1.74076 | + | 0.101388i | 0.898856 | − | 0.438243i | \(-0.144399\pi\) |
0.841902 | + | 0.539631i | \(0.181436\pi\) | |||||||
\(978\) | −43.5766 | + | 37.2809i | −1.39343 | + | 1.19211i | ||||
\(979\) | 22.7551 | − | 5.39305i | 0.727255 | − | 0.172363i | ||||
\(980\) | 4.64825 | − | 29.9919i | 0.148483 | − | 0.958056i | ||||
\(981\) | 0.0520326 | − | 0.438889i | 0.00166127 | − | 0.0140127i | ||||
\(982\) | −16.7472 | − | 5.89924i | −0.534425 | − | 0.188252i | ||||
\(983\) | 1.32804 | − | 0.873464i | 0.0423578 | − | 0.0278592i | −0.528153 | − | 0.849149i | \(-0.677115\pi\) |
0.570511 | + | 0.821290i | \(0.306745\pi\) | |||||||
\(984\) | 22.7959 | + | 6.07771i | 0.726705 | + | 0.193750i | ||||
\(985\) | −18.4835 | + | 2.16041i | −0.588932 | + | 0.0688363i | ||||
\(986\) | −2.70926 | + | 56.6462i | −0.0862805 | + | 1.80398i | ||||
\(987\) | 2.32715 | − | 3.12052i | 0.0740739 | − | 0.0993274i | ||||
\(988\) | −6.90308 | − | 26.6471i | −0.219616 | − | 0.847758i | ||||
\(989\) | 37.9433 | + | 31.8382i | 1.20653 | + | 1.01240i | ||||
\(990\) | 24.6869 | + | 32.5624i | 0.784601 | + | 1.03490i | ||||
\(991\) | 23.2888 | + | 27.7546i | 0.739795 | + | 0.881653i | 0.996392 | − | 0.0848655i | \(-0.0270460\pi\) |
−0.256598 | + | 0.966518i | \(0.582602\pi\) | |||||||
\(992\) | −8.78002 | − | 17.7582i | −0.278766 | − | 0.563822i | ||||
\(993\) | 2.05452 | − | 5.63031i | 0.0651983 | − | 0.178672i | ||||
\(994\) | −1.46744 | − | 4.72251i | −0.0465444 | − | 0.149789i | ||||
\(995\) | −9.94099 | + | 41.9443i | −0.315150 | + | 1.32972i | ||||
\(996\) | 15.3299 | − | 16.9122i | 0.485745 | − | 0.535883i | ||||
\(997\) | −6.08860 | + | 52.0913i | −0.192828 | + | 1.64975i | 0.456855 | + | 0.889541i | \(0.348976\pi\) |
−0.649683 | + | 0.760206i | \(0.725098\pi\) | |||||||
\(998\) | 51.2895 | + | 8.49544i | 1.62354 | + | 0.268919i | ||||
\(999\) | 37.4948 | + | 13.7521i | 1.18628 | + | 0.435098i |
(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 | 648.2.bb.b.131.96 | yes | 1872 | |
8.3 | odd | 2 | inner | 648.2.bb.b.131.69 | ✓ | 1872 | |
81.47 | odd | 54 | inner | 648.2.bb.b.371.69 | yes | 1872 | |
648.371 | even | 54 | inner | 648.2.bb.b.371.96 | yes | 1872 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
648.2.bb.b.131.69 | ✓ | 1872 | 8.3 | odd | 2 | inner | |
648.2.bb.b.131.96 | yes | 1872 | 1.1 | even | 1 | trivial | |
648.2.bb.b.371.69 | yes | 1872 | 81.47 | odd | 54 | inner | |
648.2.bb.b.371.96 | yes | 1872 | 648.371 | even | 54 | inner |