Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [156,2,Mod(35,156)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(156, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("156.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 156 = 2^{2} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 156.p (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: | \(1.24566627153\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 35.10 | ||
Character | \(\chi\) | \(=\) | 156.35 |
Dual form | 156.2.p.b.107.10 |
$q$-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 \(\left(\mathbb{Z}/156\mathbb{Z}\right)^\times\).
\(n\) | \(53\) | \(79\) | \(145\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.226588 | − | 1.39594i | −0.160222 | − | 0.987081i | ||||
\(3\) | −1.71957 | + | 0.207570i | −0.992793 | + | 0.119841i | ||||
\(4\) | −1.89732 | + | 0.632608i | −0.948658 | + | 0.316304i | ||||
\(5\) | 3.37008i | 1.50714i | 0.657365 | + | 0.753572i | \(0.271671\pi\) | ||||
−0.657365 | + | 0.753572i | \(0.728329\pi\) | |||||||
\(6\) | 0.679390 | + | 2.35339i | 0.277360 | + | 0.960766i | ||||
\(7\) | 1.77448 | − | 1.02450i | 0.670692 | − | 0.387224i | −0.125647 | − | 0.992075i | \(-0.540101\pi\) |
0.796339 | + | 0.604851i | \(0.206767\pi\) | |||||||
\(8\) | 1.31299 | + | 2.50520i | 0.464214 | + | 0.885723i | ||||
\(9\) | 2.91383 | − | 0.713863i | 0.971276 | − | 0.237954i | ||||
\(10\) | 4.70444 | − | 0.763619i | 1.48767 | − | 0.241478i | ||||
\(11\) | −2.01452 | + | 3.48926i | −0.607401 | + | 1.05205i | 0.384266 | + | 0.923223i | \(0.374455\pi\) |
−0.991667 | + | 0.128827i | \(0.958879\pi\) | |||||||
\(12\) | 3.13125 | − | 1.48164i | 0.903915 | − | 0.427712i | ||||
\(13\) | −0.274038 | + | 3.59512i | −0.0760046 | + | 0.997107i | ||||
\(14\) | −1.83222 | − | 2.24494i | −0.489681 | − | 0.599986i | ||||
\(15\) | −0.699528 | − | 5.79508i | −0.180617 | − | 1.49628i | ||||
\(16\) | 3.19961 | − | 2.40051i | 0.799903 | − | 0.600129i | ||||
\(17\) | −0.0707999 | + | 0.0408763i | −0.0171715 | + | 0.00991397i | −0.508561 | − | 0.861026i | \(-0.669822\pi\) |
0.491390 | + | 0.870940i | \(0.336489\pi\) | |||||||
\(18\) | −1.65675 | − | 3.90579i | −0.390500 | − | 0.920603i | ||||
\(19\) | −0.648289 | + | 0.374290i | −0.148728 | + | 0.0858679i | −0.572517 | − | 0.819893i | \(-0.694033\pi\) |
0.423789 | + | 0.905761i | \(0.360700\pi\) | |||||||
\(20\) | −2.13194 | − | 6.39410i | −0.476716 | − | 1.42976i | ||||
\(21\) | −2.83869 | + | 2.13003i | −0.619453 | + | 0.464810i | ||||
\(22\) | 5.32727 | + | 2.02154i | 1.13578 | + | 0.430993i | ||||
\(23\) | −0.176734 | + | 0.306113i | −0.0368516 | + | 0.0638289i | −0.883863 | − | 0.467746i | \(-0.845066\pi\) |
0.847011 | + | 0.531575i | \(0.178400\pi\) | |||||||
\(24\) | −2.77779 | − | 4.03533i | −0.567014 | − | 0.823708i | ||||
\(25\) | −6.35743 | −1.27149 | ||||||||
\(26\) | 5.08068 | − | 0.432070i | 0.996403 | − | 0.0847358i | ||||
\(27\) | −4.86235 | + | 1.83236i | −0.935760 | + | 0.352638i | ||||
\(28\) | −2.71865 | + | 3.06635i | −0.513777 | + | 0.579486i | ||||
\(29\) | 0.448189 | + | 0.258762i | 0.0832266 | + | 0.0480509i | 0.541036 | − | 0.841000i | \(-0.318032\pi\) |
−0.457809 | + | 0.889050i | \(0.651366\pi\) | |||||||
\(30\) | −7.93110 | + | 2.28960i | −1.44801 | + | 0.418021i | ||||
\(31\) | 8.36065i | 1.50162i | 0.660520 | + | 0.750809i | \(0.270336\pi\) | ||||
−0.660520 | + | 0.750809i | \(0.729664\pi\) | |||||||
\(32\) | −4.07598 | − | 3.92255i | −0.720538 | − | 0.693416i | ||||
\(33\) | 2.73984 | − | 6.41817i | 0.476945 | − | 1.11726i | ||||
\(34\) | 0.0731035 | + | 0.0895705i | 0.0125371 | + | 0.0153612i | ||||
\(35\) | 3.45264 | + | 5.98015i | 0.583603 | + | 1.01083i | ||||
\(36\) | −5.07686 | + | 3.19773i | −0.846143 | + | 0.532956i | ||||
\(37\) | 5.25436 | − | 9.10082i | 0.863811 | − | 1.49616i | −0.00441155 | − | 0.999990i | \(-0.501404\pi\) |
0.868223 | − | 0.496175i | \(-0.165262\pi\) | |||||||
\(38\) | 0.669382 | + | 0.820165i | 0.108588 | + | 0.133048i | ||||
\(39\) | −0.275013 | − | 6.23894i | −0.0440373 | − | 0.999030i | ||||
\(40\) | −8.44273 | + | 4.42489i | −1.33491 | + | 0.699637i | ||||
\(41\) | −5.18732 | − | 2.99490i | −0.810123 | − | 0.467725i | 0.0368754 | − | 0.999320i | \(-0.488260\pi\) |
−0.846999 | + | 0.531595i | \(0.821593\pi\) | |||||||
\(42\) | 3.61661 | + | 3.48001i | 0.558055 | + | 0.536978i | ||||
\(43\) | 4.33986 | − | 2.50562i | 0.661822 | − | 0.382103i | −0.131149 | − | 0.991363i | \(-0.541867\pi\) |
0.792971 | + | 0.609260i | \(0.208533\pi\) | |||||||
\(44\) | 1.61485 | − | 7.89462i | 0.243448 | − | 1.19016i | ||||
\(45\) | 2.40577 | + | 9.81983i | 0.358631 | + | 1.46385i | ||||
\(46\) | 0.467362 | + | 0.177350i | 0.0689088 | + | 0.0261488i | ||||
\(47\) | 7.77475 | 1.13406 | 0.567032 | − | 0.823696i | \(-0.308092\pi\) | ||||
0.567032 | + | 0.823696i | \(0.308092\pi\) | |||||||
\(48\) | −5.00368 | + | 4.79199i | −0.722219 | + | 0.691665i | ||||
\(49\) | −1.40080 | + | 2.42626i | −0.200115 | + | 0.346609i | ||||
\(50\) | 1.44052 | + | 8.87461i | 0.203720 | + | 1.25506i | ||||
\(51\) | 0.113261 | − | 0.0849856i | 0.0158596 | − | 0.0119004i | ||||
\(52\) | −1.75437 | − | 6.99444i | −0.243287 | − | 0.969954i | ||||
\(53\) | − | 7.94092i | − | 1.09077i | −0.838186 | − | 0.545385i | \(-0.816384\pi\) | ||
0.838186 | − | 0.545385i | \(-0.183616\pi\) | |||||||
\(54\) | 3.65962 | + | 6.37238i | 0.498011 | + | 0.867171i | ||||
\(55\) | −11.7591 | − | 6.78910i | −1.58559 | − | 0.915442i | ||||
\(56\) | 4.89647 | + | 3.10028i | 0.654318 | + | 0.414293i | ||||
\(57\) | 1.03709 | − | 0.778182i | 0.137365 | − | 0.103073i | ||||
\(58\) | 0.259663 | − | 0.684279i | 0.0340954 | − | 0.0898502i | ||||
\(59\) | −4.06411 | − | 7.03924i | −0.529102 | − | 0.916431i | −0.999424 | − | 0.0339364i | \(-0.989196\pi\) |
0.470322 | − | 0.882495i | \(-0.344138\pi\) | |||||||
\(60\) | 4.99324 | + | 10.5526i | 0.644625 | + | 1.36233i | ||||
\(61\) | −1.63643 | − | 2.83437i | −0.209523 | − | 0.362904i | 0.742041 | − | 0.670354i | \(-0.233858\pi\) |
−0.951564 | + | 0.307450i | \(0.900524\pi\) | |||||||
\(62\) | 11.6710 | − | 1.89442i | 1.48222 | − | 0.240592i | ||||
\(63\) | 4.43919 | − | 4.25195i | 0.559286 | − | 0.535696i | ||||
\(64\) | −4.55209 | + | 6.57864i | −0.569012 | + | 0.822330i | ||||
\(65\) | −12.1158 | − | 0.923531i | −1.50279 | − | 0.114550i | ||||
\(66\) | −9.58021 | − | 2.37039i | −1.17924 | − | 0.291774i | ||||
\(67\) | 8.16833 | + | 4.71599i | 0.997920 | + | 0.576150i | 0.907632 | − | 0.419766i | \(-0.137888\pi\) |
0.0902880 | + | 0.995916i | \(0.471221\pi\) | |||||||
\(68\) | 0.108471 | − | 0.122344i | 0.0131540 | − | 0.0148364i | ||||
\(69\) | 0.240367 | − | 0.563066i | 0.0289367 | − | 0.0677852i | ||||
\(70\) | 7.56563 | − | 6.17472i | 0.904265 | − | 0.738021i | ||||
\(71\) | 1.29645 | + | 2.24551i | 0.153860 | + | 0.266494i | 0.932643 | − | 0.360800i | \(-0.117496\pi\) |
−0.778783 | + | 0.627293i | \(0.784163\pi\) | |||||||
\(72\) | 5.61421 | + | 6.36244i | 0.661641 | + | 0.749821i | ||||
\(73\) | 11.9326 | 1.39660 | 0.698301 | − | 0.715804i | \(-0.253940\pi\) | ||||
0.698301 | + | 0.715804i | \(0.253940\pi\) | |||||||
\(74\) | −13.8948 | − | 5.27265i | −1.61524 | − | 0.612933i | ||||
\(75\) | 10.9320 | − | 1.31961i | 1.26232 | − | 0.152376i | ||||
\(76\) | 0.993230 | − | 1.12026i | 0.113931 | − | 0.128502i | ||||
\(77\) | 8.25551i | 0.940802i | ||||||||
\(78\) | −8.64689 | + | 1.79757i | −0.979068 | + | 0.203535i | ||||
\(79\) | − | 6.08602i | − | 0.684731i | −0.939567 | − | 0.342365i | \(-0.888772\pi\) | ||
0.939567 | − | 0.342365i | \(-0.111228\pi\) | |||||||
\(80\) | 8.08992 | + | 10.7829i | 0.904481 | + | 1.20557i | ||||
\(81\) | 7.98080 | − | 4.16015i | 0.886756 | − | 0.462239i | ||||
\(82\) | −3.00533 | + | 7.91981i | −0.331883 | + | 0.874597i | ||||
\(83\) | 1.15281 | 0.126537 | 0.0632684 | − | 0.997997i | \(-0.479848\pi\) | ||||
0.0632684 | + | 0.997997i | \(0.479848\pi\) | |||||||
\(84\) | 4.03842 | − | 5.83711i | 0.440628 | − | 0.636881i | ||||
\(85\) | −0.137756 | − | 0.238601i | −0.0149418 | − | 0.0258799i | ||||
\(86\) | −4.48106 | − | 5.49045i | −0.483205 | − | 0.592051i | ||||
\(87\) | −0.824403 | − | 0.351928i | −0.0883852 | − | 0.0377307i | ||||
\(88\) | −11.3864 | − | 0.465418i | −1.21379 | − | 0.0496137i | ||||
\(89\) | 6.78692 | + | 3.91843i | 0.719412 | + | 0.415353i | 0.814536 | − | 0.580113i | \(-0.196991\pi\) |
−0.0951240 | + | 0.995465i | \(0.530325\pi\) | |||||||
\(90\) | 13.1628 | − | 5.58338i | 1.38748 | − | 0.588540i | ||||
\(91\) | 3.19692 | + | 6.66024i | 0.335129 | + | 0.698183i | ||||
\(92\) | 0.141671 | − | 0.692596i | 0.0147703 | − | 0.0722081i | ||||
\(93\) | −1.73542 | − | 14.3767i | −0.179955 | − | 1.49080i | ||||
\(94\) | −1.76166 | − | 10.8531i | −0.181702 | − | 1.11941i | ||||
\(95\) | −1.26139 | − | 2.18478i | −0.129415 | − | 0.224154i | ||||
\(96\) | 7.82313 | + | 5.89904i | 0.798444 | + | 0.602069i | ||||
\(97\) | 7.60791 | + | 13.1773i | 0.772467 | + | 1.33795i | 0.936207 | + | 0.351448i | \(0.114311\pi\) |
−0.163741 | + | 0.986503i | \(0.552356\pi\) | |||||||
\(98\) | 3.70433 | + | 1.40568i | 0.374194 | + | 0.141995i | ||||
\(99\) | −3.37913 | + | 11.6052i | −0.339615 | + | 1.16637i | ||||
\(100\) | 12.0620 | − | 4.02176i | 1.20620 | − | 0.402176i | ||||
\(101\) | 3.51028 | + | 2.02666i | 0.349286 | + | 0.201660i | 0.664371 | − | 0.747403i | \(-0.268700\pi\) |
−0.315085 | + | 0.949063i | \(0.602033\pi\) | |||||||
\(102\) | −0.144299 | − | 0.138849i | −0.0142877 | − | 0.0137481i | ||||
\(103\) | − | 6.71470i | − | 0.661619i | −0.943698 | − | 0.330810i | \(-0.892678\pi\) | ||
0.943698 | − | 0.330810i | \(-0.107322\pi\) | |||||||
\(104\) | −9.36632 | + | 4.03385i | −0.918444 | + | 0.395552i | ||||
\(105\) | −7.17836 | − | 9.56661i | −0.700536 | − | 0.933606i | ||||
\(106\) | −11.0851 | + | 1.79932i | −1.07668 | + | 0.174765i | ||||
\(107\) | −3.94529 | + | 6.83344i | −0.381406 | + | 0.660614i | −0.991263 | − | 0.131897i | \(-0.957893\pi\) |
0.609858 | + | 0.792511i | \(0.291227\pi\) | |||||||
\(108\) | 8.06625 | − | 6.55253i | 0.776175 | − | 0.630517i | ||||
\(109\) | −15.1310 | −1.44928 | −0.724642 | − | 0.689126i | \(-0.757995\pi\) | ||||
−0.724642 | + | 0.689126i | \(0.757995\pi\) | |||||||
\(110\) | −6.81273 | + | 17.9533i | −0.649569 | + | 1.71178i | ||||
\(111\) | −7.14617 | + | 16.7401i | −0.678284 | + | 1.58890i | ||||
\(112\) | 3.21834 | − | 7.53768i | 0.304105 | − | 0.712244i | ||||
\(113\) | −6.44697 | + | 3.72216i | −0.606480 | + | 0.350151i | −0.771587 | − | 0.636124i | \(-0.780537\pi\) |
0.165107 | + | 0.986276i | \(0.447203\pi\) | |||||||
\(114\) | −1.32129 | − | 1.27139i | −0.123750 | − | 0.119076i | ||||
\(115\) | −1.03162 | − | 0.595608i | −0.0961994 | − | 0.0555408i | ||||
\(116\) | −1.01405 | − | 0.207425i | −0.0941522 | − | 0.0192589i | ||||
\(117\) | 1.76792 | + | 10.6712i | 0.163444 | + | 0.986553i | ||||
\(118\) | −8.90550 | + | 7.26827i | −0.819818 | + | 0.669099i | ||||
\(119\) | −0.0837555 | + | 0.145069i | −0.00767786 | + | 0.0132984i | ||||
\(120\) | 13.5994 | − | 9.36137i | 1.24145 | − | 0.854572i | ||||
\(121\) | −2.61660 | − | 4.53209i | −0.237873 | − | 0.412008i | ||||
\(122\) | −3.58583 | + | 2.92659i | −0.324646 | + | 0.264961i | ||||
\(123\) | 9.54160 | + | 4.07320i | 0.860337 | + | 0.367268i | ||||
\(124\) | −5.28902 | − | 15.8628i | −0.474968 | − | 1.42452i | ||||
\(125\) | − | 4.57464i | − | 0.409168i | ||||||
\(126\) | −6.94135 | − | 5.23342i | −0.618385 | − | 0.466230i | ||||
\(127\) | −8.01469 | − | 4.62728i | −0.711189 | − | 0.410605i | 0.100312 | − | 0.994956i | \(-0.468016\pi\) |
−0.811501 | + | 0.584351i | \(0.801349\pi\) | |||||||
\(128\) | 10.2149 | + | 4.86382i | 0.902874 | + | 0.429905i | ||||
\(129\) | −6.94259 | + | 5.20941i | −0.611261 | + | 0.458663i | ||||
\(130\) | 1.45611 | + | 17.1223i | 0.127709 | + | 1.50172i | ||||
\(131\) | 17.0091 | 1.48609 | 0.743045 | − | 0.669242i | \(-0.233381\pi\) | ||||
0.743045 | + | 0.669242i | \(0.233381\pi\) | |||||||
\(132\) | −1.13816 | + | 13.9105i | −0.0990643 | + | 1.21076i | ||||
\(133\) | −0.766919 | + | 1.32834i | −0.0665003 | + | 0.115182i | ||||
\(134\) | 4.73241 | − | 12.4711i | 0.408818 | − | 1.07734i | ||||
\(135\) | −6.17520 | − | 16.3865i | −0.531476 | − | 1.41033i | ||||
\(136\) | −0.195363 | − | 0.123698i | −0.0167523 | − | 0.0106070i | ||||
\(137\) | 2.44778 | − | 1.41323i | 0.209128 | − | 0.120740i | −0.391778 | − | 0.920060i | \(-0.628140\pi\) |
0.600906 | + | 0.799320i | \(0.294807\pi\) | |||||||
\(138\) | −0.840473 | − | 0.207954i | −0.0715458 | − | 0.0177022i | ||||
\(139\) | −10.4965 | + | 6.06017i | −0.890304 | + | 0.514017i | −0.874042 | − | 0.485850i | \(-0.838510\pi\) |
−0.0162621 | + | 0.999868i | \(0.505177\pi\) | |||||||
\(140\) | −10.3338 | − | 9.16207i | −0.873369 | − | 0.774336i | ||||
\(141\) | −13.3692 | + | 1.61381i | −1.12589 | + | 0.135907i | ||||
\(142\) | 2.84085 | − | 2.31858i | 0.238399 | − | 0.194571i | ||||
\(143\) | −11.9922 | − | 8.19864i | −1.00284 | − | 0.685605i | ||||
\(144\) | 7.60949 | − | 9.27877i | 0.634124 | − | 0.773231i | ||||
\(145\) | −0.872048 | + | 1.51043i | −0.0724196 | + | 0.125435i | ||||
\(146\) | −2.70378 | − | 16.6572i | −0.223766 | − | 1.37856i | ||||
\(147\) | 1.90516 | − | 4.46289i | 0.157135 | − | 0.368093i | ||||
\(148\) | −4.21193 | + | 20.5911i | −0.346218 | + | 1.69258i | ||||
\(149\) | 17.5629 | − | 10.1400i | 1.43881 | − | 0.830698i | 0.441043 | − | 0.897486i | \(-0.354608\pi\) |
0.997767 | + | 0.0667880i | \(0.0212751\pi\) | |||||||
\(150\) | −4.31917 | − | 14.9615i | −0.352659 | − | 1.22160i | ||||
\(151\) | − | 9.80640i | − | 0.798034i | −0.916944 | − | 0.399017i | \(-0.869351\pi\) | ||
0.916944 | − | 0.399017i | \(-0.130649\pi\) | |||||||
\(152\) | −1.78887 | − | 1.13266i | −0.145097 | − | 0.0918705i | ||||
\(153\) | −0.177119 | + | 0.169648i | −0.0143192 | + | 0.0137152i | ||||
\(154\) | 11.5242 | − | 1.87060i | 0.928648 | − | 0.150737i | ||||
\(155\) | −28.1761 | −2.26316 | ||||||||
\(156\) | 4.46859 | + | 11.6633i | 0.357774 | + | 0.933808i | ||||
\(157\) | 1.20348 | 0.0960479 | 0.0480239 | − | 0.998846i | \(-0.484708\pi\) | ||||
0.0480239 | + | 0.998846i | \(0.484708\pi\) | |||||||
\(158\) | −8.49574 | + | 1.37902i | −0.675885 | + | 0.109709i | ||||
\(159\) | 1.64830 | + | 13.6550i | 0.130719 | + | 1.08291i | ||||
\(160\) | 13.2193 | − | 13.7364i | 1.04508 | − | 1.08595i | ||||
\(161\) | 0.724256i | 0.0570794i | ||||||||
\(162\) | −7.61568 | − | 10.1981i | −0.598345 | − | 0.801239i | ||||
\(163\) | 9.28348 | − | 5.35982i | 0.727139 | − | 0.419814i | −0.0902359 | − | 0.995920i | \(-0.528762\pi\) |
0.817374 | + | 0.576107i | \(0.195429\pi\) | |||||||
\(164\) | 11.7366 | + | 2.40073i | 0.916473 | + | 0.187466i | ||||
\(165\) | 21.6297 | + | 9.23348i | 1.68387 | + | 0.718826i | ||||
\(166\) | −0.261212 | − | 1.60925i | −0.0202740 | − | 0.124902i | ||||
\(167\) | 10.5347 | − | 18.2466i | 0.815197 | − | 1.41196i | −0.0939902 | − | 0.995573i | \(-0.529962\pi\) |
0.909187 | − | 0.416389i | \(-0.136704\pi\) | |||||||
\(168\) | −9.06334 | − | 4.31479i | −0.699252 | − | 0.332893i | ||||
\(169\) | −12.8498 | − | 1.97040i | −0.988447 | − | 0.151569i | ||||
\(170\) | −0.301860 | + | 0.246364i | −0.0231516 | + | 0.0188953i | ||||
\(171\) | −1.62181 | + | 1.55341i | −0.124023 | + | 0.118792i | ||||
\(172\) | −6.64901 | + | 7.49938i | −0.506982 | + | 0.571822i | ||||
\(173\) | −1.42721 | + | 0.823998i | −0.108509 | + | 0.0626474i | −0.553272 | − | 0.833001i | \(-0.686621\pi\) |
0.444764 | + | 0.895648i | \(0.353288\pi\) | |||||||
\(174\) | −0.304472 | + | 1.23056i | −0.0230820 | + | 0.0932887i | ||||
\(175\) | −11.2812 | + | 6.51318i | −0.852775 | + | 0.492350i | ||||
\(176\) | 1.93031 | + | 16.0002i | 0.145503 | + | 1.20606i | ||||
\(177\) | 8.44965 | + | 11.2609i | 0.635114 | + | 0.846419i | ||||
\(178\) | 3.93207 | − | 10.3620i | 0.294721 | − | 0.776667i | ||||
\(179\) | −6.83177 | + | 11.8330i | −0.510630 | + | 0.884438i | 0.489294 | + | 0.872119i | \(0.337255\pi\) |
−0.999924 | + | 0.0123186i | \(0.996079\pi\) | |||||||
\(180\) | −10.7766 | − | 17.1094i | −0.803242 | − | 1.27526i | ||||
\(181\) | −5.78394 | −0.429917 | −0.214959 | − | 0.976623i | \(-0.568962\pi\) | ||||
−0.214959 | + | 0.976623i | \(0.568962\pi\) | |||||||
\(182\) | 8.57293 | − | 5.97185i | 0.635468 | − | 0.442663i | ||||
\(183\) | 3.40228 | + | 4.53422i | 0.251504 | + | 0.335179i | ||||
\(184\) | −0.998926 | − | 0.0408311i | −0.0736418 | − | 0.00301011i | ||||
\(185\) | 30.6705 | + | 17.7076i | 2.25494 | + | 1.30189i | ||||
\(186\) | −19.6759 | + | 5.68014i | −1.44270 | + | 0.416488i | ||||
\(187\) | − | 0.329385i | − | 0.0240870i | ||||||
\(188\) | −14.7512 | + | 4.91837i | −1.07584 | + | 0.358709i | ||||
\(189\) | −6.75092 | + | 8.23297i | −0.491057 | + | 0.598860i | ||||
\(190\) | −2.76402 | + | 2.25587i | −0.200523 | + | 0.163658i | ||||
\(191\) | −3.18293 | − | 5.51300i | −0.230309 | − | 0.398906i | 0.727590 | − | 0.686012i | \(-0.240640\pi\) |
−0.957899 | + | 0.287106i | \(0.907307\pi\) | |||||||
\(192\) | 6.46210 | − | 12.2573i | 0.466362 | − | 0.884594i | ||||
\(193\) | 0.177383 | − | 0.307236i | 0.0127683 | − | 0.0221153i | −0.859571 | − | 0.511017i | \(-0.829269\pi\) |
0.872339 | + | 0.488902i | \(0.162602\pi\) | |||||||
\(194\) | 16.6709 | − | 13.6060i | 1.19690 | − | 0.976856i | ||||
\(195\) | 21.0257 | − | 0.926815i | 1.50568 | − | 0.0663706i | ||||
\(196\) | 1.12289 | − | 5.48954i | 0.0802066 | − | 0.392110i | ||||
\(197\) | −8.76648 | − | 5.06133i | −0.624586 | − | 0.360605i | 0.154066 | − | 0.988061i | \(-0.450763\pi\) |
−0.778652 | + | 0.627456i | \(0.784096\pi\) | |||||||
\(198\) | 16.9659 | + | 2.08747i | 1.20571 | + | 0.148350i | ||||
\(199\) | −3.63876 | + | 2.10084i | −0.257945 | + | 0.148925i | −0.623397 | − | 0.781906i | \(-0.714248\pi\) |
0.365452 | + | 0.930830i | \(0.380915\pi\) | |||||||
\(200\) | −8.34727 | − | 15.9267i | −0.590241 | − | 1.12618i | ||||
\(201\) | −15.0249 | − | 6.41396i | −1.05977 | − | 0.452406i | ||||
\(202\) | 2.03372 | − | 5.35937i | 0.143092 | − | 0.377084i | ||||
\(203\) | 1.06041 | 0.0744259 | ||||||||
\(204\) | −0.161128 | + | 0.232894i | −0.0112812 | + | 0.0163058i | ||||
\(205\) | 10.0930 | − | 17.4817i | 0.704929 | − | 1.22097i | ||||
\(206\) | −9.37334 | + | 1.52147i | −0.653072 | + | 0.106006i | ||||
\(207\) | −0.296451 | + | 1.01812i | −0.0206048 | + | 0.0707645i | ||||
\(208\) | 7.75333 | + | 12.1608i | 0.537596 | + | 0.843202i | ||||
\(209\) | − | 3.01606i | − | 0.208625i | ||||||
\(210\) | −11.7279 | + | 12.1883i | −0.809303 | + | 0.841070i | ||||
\(211\) | 7.93415 | + | 4.58079i | 0.546210 | + | 0.315354i | 0.747592 | − | 0.664158i | \(-0.231210\pi\) |
−0.201382 | + | 0.979513i | \(0.564543\pi\) | |||||||
\(212\) | 5.02349 | + | 15.0664i | 0.345015 | + | 1.03477i | ||||
\(213\) | −2.69543 | − | 3.59221i | −0.184688 | − | 0.246134i | ||||
\(214\) | 10.4331 | + | 3.95902i | 0.713189 | + | 0.270633i | ||||
\(215\) | 8.44413 | + | 14.6257i | 0.575885 | + | 0.997462i | ||||
\(216\) | −10.9747 | − | 9.77530i | −0.746732 | − | 0.665125i | ||||
\(217\) | 8.56548 | + | 14.8358i | 0.581463 | + | 1.00712i | ||||
\(218\) | 3.42850 | + | 21.1220i | 0.232207 | + | 1.43056i | ||||
\(219\) | −20.5189 | + | 2.47685i | −1.38654 | + | 0.167370i | ||||
\(220\) | 26.6055 | + | 5.44218i | 1.79374 | + | 0.366912i | ||||
\(221\) | −0.127554 | − | 0.265736i | −0.00858018 | − | 0.0178753i | ||||
\(222\) | 24.9875 | + | 6.18253i | 1.67705 | + | 0.414945i | ||||
\(223\) | 8.18507 | + | 4.72565i | 0.548113 | + | 0.316453i | 0.748360 | − | 0.663292i | \(-0.230841\pi\) |
−0.200248 | + | 0.979745i | \(0.564175\pi\) | |||||||
\(224\) | −11.2514 | − | 2.78467i | −0.751766 | − | 0.186059i | ||||
\(225\) | −18.5245 | + | 4.53833i | −1.23496 | + | 0.302555i | ||||
\(226\) | 6.65673 | + | 8.15621i | 0.442799 | + | 0.542543i | ||||
\(227\) | 1.83530 | + | 3.17883i | 0.121813 | + | 0.210986i | 0.920483 | − | 0.390784i | \(-0.127796\pi\) |
−0.798670 | + | 0.601770i | \(0.794463\pi\) | |||||||
\(228\) | −1.47539 | + | 2.13253i | −0.0977103 | + | 0.141230i | ||||
\(229\) | −1.49831 | −0.0990112 | −0.0495056 | − | 0.998774i | \(-0.515765\pi\) | ||||
−0.0495056 | + | 0.998774i | \(0.515765\pi\) | |||||||
\(230\) | −0.597682 | + | 1.57505i | −0.0394100 | + | 0.103855i | ||||
\(231\) | −1.71360 | − | 14.1959i | −0.112746 | − | 0.934022i | ||||
\(232\) | −0.0597821 | + | 1.46256i | −0.00392489 | + | 0.0960216i | ||||
\(233\) | 1.66264i | 0.108923i | 0.998516 | + | 0.0544614i | \(0.0173442\pi\) | ||||
−0.998516 | + | 0.0544614i | \(0.982656\pi\) | |||||||
\(234\) | 14.4958 | − | 4.88588i | 0.947620 | − | 0.319400i | ||||
\(235\) | 26.2015i | 1.70920i | ||||||||
\(236\) | 12.1640 | + | 10.7847i | 0.791807 | + | 0.702023i | ||||
\(237\) | 1.26328 | + | 10.4653i | 0.0820586 | + | 0.679796i | ||||
\(238\) | 0.221486 | + | 0.0840471i | 0.0143568 | + | 0.00544797i | ||||
\(239\) | 7.26374 | 0.469852 | 0.234926 | − | 0.972013i | \(-0.424515\pi\) | ||||
0.234926 | + | 0.972013i | \(0.424515\pi\) | |||||||
\(240\) | −16.1494 | − | 16.8628i | −1.04244 | − | 1.08849i | ||||
\(241\) | 2.45987 | + | 4.26062i | 0.158454 | + | 0.274451i | 0.934311 | − | 0.356458i | \(-0.116016\pi\) |
−0.775857 | + | 0.630909i | \(0.782682\pi\) | |||||||
\(242\) | −5.73365 | + | 4.67954i | −0.368573 | + | 0.300813i | ||||
\(243\) | −12.8600 | + | 8.81023i | −0.824970 | + | 0.565177i | ||||
\(244\) | 4.89786 | + | 4.34248i | 0.313554 | + | 0.277999i | ||||
\(245\) | −8.17669 | − | 4.72082i | −0.522390 | − | 0.301602i | ||||
\(246\) | 3.52395 | − | 14.2425i | 0.224679 | − | 0.908067i | ||||
\(247\) | −1.16796 | − | 2.43325i | −0.0743156 | − | 0.154824i | ||||
\(248\) | −20.9451 | + | 10.9775i | −1.33002 | + | 0.697071i | ||||
\(249\) | −1.98233 | + | 0.239288i | −0.125625 | + | 0.0151643i | ||||
\(250\) | −6.38593 | + | 1.03656i | −0.403882 | + | 0.0655577i | ||||
\(251\) | −8.53960 | − | 14.7910i | −0.539015 | − | 0.933601i | −0.998957 | − | 0.0456524i | \(-0.985463\pi\) |
0.459943 | − | 0.887949i | \(-0.347870\pi\) | |||||||
\(252\) | −5.73273 | + | 10.8756i | −0.361128 | + | 0.685096i | ||||
\(253\) | −0.712070 | − | 1.23334i | −0.0447675 | − | 0.0775395i | ||||
\(254\) | −4.64339 | + | 12.2365i | −0.291352 | + | 0.767789i | ||||
\(255\) | 0.286408 | + | 0.381697i | 0.0179356 | + | 0.0239028i | ||||
\(256\) | 4.47506 | − | 15.3614i | 0.279691 | − | 0.960090i | ||||
\(257\) | −13.7595 | − | 7.94406i | −0.858295 | − | 0.495537i | 0.00514575 | − | 0.999987i | \(-0.498362\pi\) |
−0.863441 | + | 0.504450i | \(0.831695\pi\) | |||||||
\(258\) | 8.84514 | + | 8.51107i | 0.550675 | + | 0.529876i | ||||
\(259\) | − | 21.5323i | − | 1.33795i | ||||||
\(260\) | 23.5718 | − | 5.91235i | 1.46186 | − | 0.366668i | ||||
\(261\) | 1.49067 | + | 0.434043i | 0.0922699 | + | 0.0268666i | ||||
\(262\) | −3.85405 | − | 23.7437i | −0.238104 | − | 1.46689i | ||||
\(263\) | 12.1066 | − | 20.9692i | 0.746525 | − | 1.29302i | −0.202954 | − | 0.979188i | \(-0.565054\pi\) |
0.949479 | − | 0.313831i | \(-0.101612\pi\) | |||||||
\(264\) | 19.6762 | − | 1.56315i | 1.21099 | − | 0.0962053i | ||||
\(265\) | 26.7615 | 1.64395 | ||||||||
\(266\) | 2.02807 | + | 0.769589i | 0.124349 | + | 0.0471865i | ||||
\(267\) | −12.4839 | − | 5.32925i | −0.764004 | − | 0.326145i | ||||
\(268\) | −18.4813 | − | 3.78036i | −1.12892 | − | 0.230923i | ||||
\(269\) | 0.812660 | − | 0.469190i | 0.0495488 | − | 0.0286070i | −0.475021 | − | 0.879974i | \(-0.657560\pi\) |
0.524570 | + | 0.851367i | \(0.324226\pi\) | |||||||
\(270\) | −21.4754 | + | 12.3332i | −1.30695 | + | 0.750575i | ||||
\(271\) | 26.9197 | + | 15.5421i | 1.63526 | + | 0.944116i | 0.982435 | + | 0.186604i | \(0.0597480\pi\) |
0.652821 | + | 0.757512i | \(0.273585\pi\) | |||||||
\(272\) | −0.128408 | + | 0.300745i | −0.00778588 | + | 0.0182353i | ||||
\(273\) | −6.87979 | − | 10.7892i | −0.416384 | − | 0.652989i | ||||
\(274\) | −2.52742 | − | 3.09675i | −0.152687 | − | 0.187081i | ||||
\(275\) | 12.8072 | − | 22.1827i | 0.772302 | − | 1.33767i | ||||
\(276\) | −0.0998511 | + | 1.22037i | −0.00601033 | + | 0.0734578i | ||||
\(277\) | −3.64875 | − | 6.31982i | −0.219232 | − | 0.379721i | 0.735341 | − | 0.677697i | \(-0.237022\pi\) |
−0.954573 | + | 0.297976i | \(0.903689\pi\) | |||||||
\(278\) | 10.8380 | + | 13.2794i | 0.650023 | + | 0.796445i | ||||
\(279\) | 5.96836 | + | 24.3615i | 0.357316 | + | 1.45849i | ||||
\(280\) | −10.4482 | + | 16.5015i | −0.624399 | + | 0.986152i | ||||
\(281\) | − | 12.3721i | − | 0.738060i | −0.929417 | − | 0.369030i | \(-0.879690\pi\) | ||
0.929417 | − | 0.369030i | \(-0.120310\pi\) | |||||||
\(282\) | 5.28209 | + | 18.2970i | 0.314544 | + | 1.08957i | ||||
\(283\) | 6.79392 | + | 3.92247i | 0.403857 | + | 0.233167i | 0.688147 | − | 0.725572i | \(-0.258425\pi\) |
−0.284290 | + | 0.958738i | \(0.591758\pi\) | |||||||
\(284\) | −3.88030 | − | 3.44031i | −0.230254 | − | 0.204145i | ||||
\(285\) | 2.62253 | + | 3.49506i | 0.155346 | + | 0.207029i | ||||
\(286\) | −8.72754 | + | 18.5982i | −0.516071 | + | 1.09973i | ||||
\(287\) | −12.2731 | −0.724458 | ||||||||
\(288\) | −14.6769 | − | 8.51996i | −0.864842 | − | 0.502043i | ||||
\(289\) | −8.49666 | + | 14.7166i | −0.499803 | + | 0.865685i | ||||
\(290\) | 2.30607 | + | 0.875084i | 0.135417 | + | 0.0513867i | ||||
\(291\) | −15.8175 | − | 21.0801i | −0.927241 | − | 1.23574i | ||||
\(292\) | −22.6399 | + | 7.54864i | −1.32490 | + | 0.441751i | ||||
\(293\) | 4.16483 | − | 2.40456i | 0.243312 | − | 0.140476i | −0.373386 | − | 0.927676i | \(-0.621803\pi\) |
0.616698 | + | 0.787200i | \(0.288470\pi\) | |||||||
\(294\) | −6.66162 | − | 1.64825i | −0.388514 | − | 0.0961281i | ||||
\(295\) | 23.7228 | − | 13.6964i | 1.38119 | − | 0.797433i | ||||
\(296\) | 29.6983 | + | 1.21392i | 1.72618 | + | 0.0705577i | ||||
\(297\) | 3.40174 | − | 20.6573i | 0.197389 | − | 1.19866i | ||||
\(298\) | −18.1344 | − | 22.2193i | −1.05049 | − | 1.28713i | ||||
\(299\) | −1.05208 | − | 0.719268i | −0.0608434 | − | 0.0415963i | ||||
\(300\) | −19.9067 | + | 9.41941i | −1.14931 | + | 0.543830i | ||||
\(301\) | 5.13401 | − | 8.89236i | 0.295919 | − | 0.512547i | ||||
\(302\) | −13.6892 | + | 2.22201i | −0.787724 | + | 0.127863i | ||||
\(303\) | −6.45684 | − | 2.75635i | −0.370936 | − | 0.158348i | ||||
\(304\) | −1.17579 | + | 2.75381i | −0.0674359 | + | 0.157942i | ||||
\(305\) | 9.55206 | − | 5.51488i | 0.546949 | − | 0.315781i | ||||
\(306\) | 0.276952 | + | 0.208807i | 0.0158323 | + | 0.0119367i | ||||
\(307\) | − | 12.7325i | − | 0.726683i | −0.931656 | − | 0.363341i | \(-0.881636\pi\) | ||
0.931656 | − | 0.363341i | \(-0.118364\pi\) | |||||||
\(308\) | −5.22250 | − | 15.6633i | −0.297580 | − | 0.892499i | ||||
\(309\) | 1.39377 | + | 11.5464i | 0.0792890 | + | 0.656851i | ||||
\(310\) | 6.38436 | + | 39.3322i | 0.362607 | + | 2.23392i | ||||
\(311\) | 8.50396 | 0.482215 | 0.241108 | − | 0.970498i | \(-0.422489\pi\) | ||||
0.241108 | + | 0.970498i | \(0.422489\pi\) | |||||||
\(312\) | 15.2687 | − | 8.88065i | 0.864421 | − | 0.502768i | ||||
\(313\) | 4.58047 | 0.258903 | 0.129452 | − | 0.991586i | \(-0.458678\pi\) | ||||
0.129452 | + | 0.991586i | \(0.458678\pi\) | |||||||
\(314\) | −0.272693 | − | 1.67998i | −0.0153890 | − | 0.0948070i | ||||
\(315\) | 14.3294 | + | 14.9604i | 0.807371 | + | 0.842925i | ||||
\(316\) | 3.85006 | + | 11.5471i | 0.216583 | + | 0.649575i | ||||
\(317\) | 8.86106i | 0.497687i | 0.968544 | + | 0.248843i | \(0.0800505\pi\) | ||||
−0.968544 | + | 0.248843i | \(0.919950\pi\) | |||||||
\(318\) | 18.6881 | − | 5.39498i | 1.04797 | − | 0.302536i | ||||
\(319\) | −1.80577 | + | 1.04256i | −0.101104 | + | 0.0583724i | ||||
\(320\) | −22.1705 | − | 15.3409i | −1.23937 | − | 0.857583i | ||||
\(321\) | 5.36577 | − | 12.5695i | 0.299488 | − | 0.701561i | ||||
\(322\) | 1.01102 | − | 0.164108i | 0.0563420 | − | 0.00914537i | ||||
\(323\) | 0.0305992 | − | 0.0529993i | 0.00170258 | − | 0.00294896i | ||||
\(324\) | −12.5104 | + | 12.9418i | −0.695020 | + | 0.718991i | ||||
\(325\) | 1.74218 | − | 22.8557i | 0.0966387 | − | 1.26781i | ||||
\(326\) | −9.58553 | − | 11.7447i | −0.530894 | − | 0.650481i | ||||
\(327\) | 26.0187 | − | 3.14074i | 1.43884 | − | 0.173683i | ||||
\(328\) | 0.691916 | − | 16.9276i | 0.0382046 | − | 0.934669i | ||||
\(329\) | 13.7962 | − | 7.96522i | 0.760607 | − | 0.439137i | ||||
\(330\) | 7.98838 | − | 32.2861i | 0.439746 | − | 1.77729i | ||||
\(331\) | −11.3312 | + | 6.54208i | −0.622819 | + | 0.359585i | −0.777966 | − | 0.628306i | \(-0.783748\pi\) |
0.155146 | + | 0.987891i | \(0.450415\pi\) | |||||||
\(332\) | −2.18724 | + | 0.729274i | −0.120040 | + | 0.0400241i | ||||
\(333\) | 8.81357 | − | 30.2691i | 0.482981 | − | 1.65874i | ||||
\(334\) | −27.8582 | − | 10.5713i | −1.52433 | − | 0.578438i | ||||
\(335\) | −15.8932 | + | 27.5279i | −0.868341 | + | 1.50401i | ||||
\(336\) | −3.96956 | + | 13.6296i | −0.216557 | + | 0.743555i | ||||
\(337\) | 1.22304 | 0.0666232 | 0.0333116 | − | 0.999445i | \(-0.489395\pi\) | ||||
0.0333116 | + | 0.999445i | \(0.489395\pi\) | |||||||
\(338\) | 0.161041 | + | 18.3841i | 0.00875948 | + | 0.999962i | ||||
\(339\) | 10.3134 | − | 7.73871i | 0.560147 | − | 0.420309i | ||||
\(340\) | 0.412308 | + | 0.365556i | 0.0223606 | + | 0.0198251i | ||||
\(341\) | −29.1725 | − | 16.8427i | −1.57978 | − | 0.912085i | ||||
\(342\) | 2.53595 | + | 1.91197i | 0.137128 | + | 0.103388i | ||||
\(343\) | 20.0835i | 1.08441i | ||||||||
\(344\) | 11.9753 | + | 7.58237i | 0.645664 | + | 0.408814i | ||||
\(345\) | 1.89758 | + | 0.810055i | 0.102162 | + | 0.0436119i | ||||
\(346\) | 1.47364 | + | 1.80559i | 0.0792235 | + | 0.0970692i | ||||
\(347\) | 13.1281 | + | 22.7385i | 0.704752 | + | 1.22067i | 0.966781 | + | 0.255607i | \(0.0822752\pi\) |
−0.262029 | + | 0.965060i | \(0.584392\pi\) | |||||||
\(348\) | 1.78678 | + | 0.146195i | 0.0957817 | + | 0.00783687i | ||||
\(349\) | −7.27995 | + | 12.6092i | −0.389687 | + | 0.674957i | −0.992407 | − | 0.122995i | \(-0.960750\pi\) |
0.602720 | + | 0.797952i | \(0.294083\pi\) | |||||||
\(350\) | 11.6482 | + | 14.2720i | 0.622623 | + | 0.762873i | ||||
\(351\) | −5.25509 | − | 17.9829i | −0.280496 | − | 0.959855i | ||||
\(352\) | 21.8979 | − | 6.32006i | 1.16716 | − | 0.336860i | ||||
\(353\) | −16.2440 | − | 9.37845i | −0.864578 | − | 0.499165i | 0.000964469 | − | 1.00000i | \(-0.499693\pi\) |
−0.865543 | + | 0.500835i | \(0.833026\pi\) | |||||||
\(354\) | 13.8049 | − | 14.3468i | 0.733724 | − | 0.762524i | ||||
\(355\) | −7.56756 | + | 4.36913i | −0.401644 | + | 0.231889i | ||||
\(356\) | −15.3558 | − | 3.14104i | −0.813854 | − | 0.166475i | ||||
\(357\) | 0.113911 | − | 0.266841i | 0.00602883 | − | 0.0141227i | ||||
\(358\) | 18.0662 | + | 6.85555i | 0.954826 | + | 0.362327i | ||||
\(359\) | −14.0482 | −0.741436 | −0.370718 | − | 0.928745i | \(-0.620888\pi\) | ||||
−0.370718 | + | 0.928745i | \(0.620888\pi\) | |||||||
\(360\) | −21.4419 | + | 18.9203i | −1.13009 | + | 0.997189i | ||||
\(361\) | −9.21981 | + | 15.9692i | −0.485253 | + | 0.840484i | ||||
\(362\) | 1.31057 | + | 8.07406i | 0.0688821 | + | 0.424363i | ||||
\(363\) | 5.44015 | + | 7.25010i | 0.285534 | + | 0.380532i | ||||
\(364\) | −10.2789 | − | 10.6142i | −0.538760 | − | 0.556334i | ||||
\(365\) | 40.2137i | 2.10488i | ||||||||
\(366\) | 5.55860 | − | 5.77679i | 0.290553 | − | 0.301957i | ||||
\(367\) | −25.8353 | − | 14.9160i | −1.34859 | − | 0.778611i | −0.360544 | − | 0.932742i | \(-0.617409\pi\) |
−0.988050 | + | 0.154131i | \(0.950742\pi\) | |||||||
\(368\) | 0.169347 | + | 1.40370i | 0.00882781 | + | 0.0731727i | ||||
\(369\) | −17.2529 | − | 5.02360i | −0.898151 | − | 0.261518i | ||||
\(370\) | 17.7692 | − | 46.8266i | 0.923779 | − | 2.43440i | ||||
\(371\) | −8.13547 | − | 14.0910i | −0.422372 | − | 0.731571i | ||||
\(372\) | 12.3875 | + | 26.1793i | 0.642261 | + | 1.35733i | ||||
\(373\) | −14.1451 | − | 24.5001i | −0.732408 | − | 1.26857i | −0.955851 | − | 0.293851i | \(-0.905063\pi\) |
0.223444 | − | 0.974717i | \(-0.428270\pi\) | |||||||
\(374\) | −0.459803 | + | 0.0746347i | −0.0237758 | + | 0.00385927i | ||||
\(375\) | 0.949559 | + | 7.86640i | 0.0490350 | + | 0.406219i | ||||
\(376\) | 10.2082 | + | 19.4773i | 0.526448 | + | 1.00447i | ||||
\(377\) | −1.05310 | + | 1.54038i | −0.0542375 | + | 0.0793338i | ||||
\(378\) | 13.0224 | + | 7.55840i | 0.669802 | + | 0.388762i | ||||
\(379\) | −6.91978 | − | 3.99514i | −0.355445 | − | 0.205216i | 0.311636 | − | 0.950202i | \(-0.399123\pi\) |
−0.667081 | + | 0.744985i | \(0.732456\pi\) | |||||||
\(380\) | 3.77536 | + | 3.34726i | 0.193672 | + | 0.171711i | ||||
\(381\) | 14.7423 | + | 6.29332i | 0.755270 | + | 0.322416i | ||||
\(382\) | −6.97462 | + | 5.69237i | −0.356852 | + | 0.291247i | ||||
\(383\) | −16.2214 | − | 28.0962i | −0.828873 | − | 1.43565i | −0.898923 | − | 0.438107i | \(-0.855649\pi\) |
0.0700496 | − | 0.997544i | \(-0.477684\pi\) | |||||||
\(384\) | −18.5747 | − | 6.24337i | −0.947887 | − | 0.318606i | ||||
\(385\) | −27.8217 | −1.41793 | ||||||||
\(386\) | −0.469077 | − | 0.178000i | −0.0238754 | − | 0.00905998i | ||||
\(387\) | 10.8569 | − | 10.3990i | 0.551889 | − | 0.528611i | ||||
\(388\) | −22.7707 | − | 20.1887i | −1.15601 | − | 1.02492i | ||||
\(389\) | 27.4012i | 1.38929i | 0.719351 | + | 0.694647i | \(0.244439\pi\) | ||||
−0.719351 | + | 0.694647i | \(0.755561\pi\) | |||||||
\(390\) | −6.05796 | − | 29.1407i | −0.306757 | − | 1.47560i | ||||
\(391\) | − | 0.0288970i | − | 0.00146138i | ||||||
\(392\) | −7.91753 | − | 0.323629i | −0.399896 | − | 0.0163457i | ||||
\(393\) | −29.2483 | + | 3.53058i | −1.47538 | + | 0.178094i | ||||
\(394\) | −5.07895 | + | 13.3843i | −0.255874 | + | 0.674294i | ||||
\(395\) | 20.5104 | 1.03199 | ||||||||
\(396\) | −0.930267 | − | 24.1564i | −0.0467477 | − | 1.21390i | ||||
\(397\) | −0.972576 | − | 1.68455i | −0.0488122 | − | 0.0845452i | 0.840587 | − | 0.541677i | \(-0.182210\pi\) |
−0.889399 | + | 0.457131i | \(0.848877\pi\) | |||||||
\(398\) | 3.75715 | + | 4.60348i | 0.188329 | + | 0.230752i | ||||
\(399\) | 1.04304 | − | 2.44336i | 0.0522175 | − | 0.122321i | ||||
\(400\) | −20.3413 | + | 15.2611i | −1.01707 | + | 0.763055i | ||||
\(401\) | 13.0855 | + | 7.55490i | 0.653457 | + | 0.377274i | 0.789779 | − | 0.613391i | \(-0.210195\pi\) |
−0.136322 | + | 0.990665i | \(0.543528\pi\) | |||||||
\(402\) | −5.54906 | + | 22.4272i | −0.276762 | + | 1.11857i | ||||
\(403\) | −30.0576 | − | 2.29114i | −1.49727 | − | 0.114130i | ||||
\(404\) | −7.94219 | − | 1.62458i | −0.395139 | − | 0.0808260i | ||||
\(405\) | 14.0200 | + | 26.8959i | 0.696660 | + | 1.33647i | ||||
\(406\) | −0.240275 | − | 1.48027i | −0.0119247 | − | 0.0734644i | ||||
\(407\) | 21.1700 | + | 36.6676i | 1.04936 | + | 1.81755i | ||||
\(408\) | 0.361617 | + | 0.172155i | 0.0179027 | + | 0.00852295i | ||||
\(409\) | −3.05074 | − | 5.28403i | −0.150849 | − | 0.261279i | 0.780691 | − | 0.624918i | \(-0.214867\pi\) |
−0.931540 | + | 0.363639i | \(0.881534\pi\) | |||||||
\(410\) | −26.6904 | − | 10.1282i | −1.31814 | − | 0.500196i | ||||
\(411\) | −3.91578 | + | 2.93823i | −0.193151 | + | 0.144932i | ||||
\(412\) | 4.24778 | + | 12.7399i | 0.209273 | + | 0.627650i | ||||
\(413\) | −14.4234 | − | 8.32735i | −0.709729 | − | 0.409762i | ||||
\(414\) | 1.48842 | + | 0.183134i | 0.0731517 | + | 0.00900055i | ||||
\(415\) | 3.88505i | 0.190709i | ||||||||
\(416\) | 15.2190 | − | 13.5787i | 0.746174 | − | 0.665751i | ||||
\(417\) | 16.7916 | − | 12.5997i | 0.822288 | − | 0.617008i | ||||
\(418\) | −4.21025 | + | 0.683403i | −0.205930 | + | 0.0334263i | ||||
\(419\) | −6.61409 | + | 11.4559i | −0.323119 | + | 0.559659i | −0.981130 | − | 0.193350i | \(-0.938065\pi\) |
0.658011 | + | 0.753009i | \(0.271398\pi\) | |||||||
\(420\) | 19.6715 | + | 13.6098i | 0.959872 | + | 0.664090i | ||||
\(421\) | 22.0726 | 1.07575 | 0.537876 | − | 0.843024i | \(-0.319227\pi\) | ||||
0.537876 | + | 0.843024i | \(0.319227\pi\) | |||||||
\(422\) | 4.59673 | − | 12.1136i | 0.223766 | − | 0.589680i | ||||
\(423\) | 22.6543 | − | 5.55010i | 1.10149 | − | 0.269855i | ||||
\(424\) | 19.8936 | − | 10.4264i | 0.966120 | − | 0.506350i | ||||
\(425\) | 0.450105 | − | 0.259868i | 0.0218333 | − | 0.0126055i | ||||
\(426\) | −4.40377 | + | 4.57662i | −0.213363 | + | 0.221738i | ||||
\(427\) | −5.80762 | − | 3.35303i | −0.281051 | − | 0.162265i | ||||
\(428\) | 3.16257 | − | 15.4610i | 0.152869 | − | 0.747337i | ||||
\(429\) | 22.3233 | + | 11.6089i | 1.07778 | + | 0.560483i | ||||
\(430\) | 18.5033 | − | 15.1015i | 0.892306 | − | 0.728260i | ||||
\(431\) | −6.85462 | + | 11.8726i | −0.330175 | + | 0.571881i | −0.982546 | − | 0.186019i | \(-0.940441\pi\) |
0.652371 | + | 0.757900i | \(0.273775\pi\) | |||||||
\(432\) | −11.1590 | + | 17.5350i | −0.536890 | + | 0.843653i | ||||
\(433\) | 0.921456 | + | 1.59601i | 0.0442823 | + | 0.0766993i | 0.887317 | − | 0.461160i | \(-0.152567\pi\) |
−0.843035 | + | 0.537859i | \(0.819233\pi\) | |||||||
\(434\) | 18.7692 | − | 15.3186i | 0.900949 | − | 0.735314i | ||||
\(435\) | 1.18603 | − | 2.77830i | 0.0568656 | − | 0.133209i | ||||
\(436\) | 28.7082 | − | 9.57197i | 1.37487 | − | 0.458414i | ||||
\(437\) | − | 0.264599i | − | 0.0126575i | ||||||
\(438\) | 8.10687 | + | 28.0820i | 0.387361 | + | 1.34181i | ||||
\(439\) | −11.3600 | − | 6.55868i | −0.542181 | − | 0.313029i | 0.203781 | − | 0.979016i | \(-0.434677\pi\) |
−0.745963 | + | 0.665988i | \(0.768010\pi\) | |||||||
\(440\) | 1.56849 | − | 38.3729i | 0.0747750 | − | 1.82936i | ||||
\(441\) | −2.34968 | + | 8.06969i | −0.111890 | + | 0.384271i | ||||
\(442\) | −0.342050 | + | 0.238270i | −0.0162697 | + | 0.0113334i | ||||
\(443\) | 19.9320 | 0.946998 | 0.473499 | − | 0.880794i | \(-0.342991\pi\) | ||||
0.473499 | + | 0.880794i | \(0.342991\pi\) | |||||||
\(444\) | 2.96860 | − | 36.2820i | 0.140884 | − | 1.72187i | ||||
\(445\) | −13.2054 | + | 22.8725i | −0.625997 | + | 1.08426i | ||||
\(446\) | 4.74210 | − | 12.4967i | 0.224545 | − | 0.591734i | ||||
\(447\) | −28.0959 | + | 21.0819i | −1.32889 | + | 0.997139i | ||||
\(448\) | −1.33781 | + | 16.3373i | −0.0632056 | + | 0.771865i | ||||
\(449\) | 5.99214 | − | 3.45956i | 0.282787 | − | 0.163267i | −0.351898 | − | 0.936038i | \(-0.614463\pi\) |
0.634684 | + | 0.772772i | \(0.281130\pi\) | |||||||
\(450\) | 10.5327 | + | 24.8308i | 0.496515 | + | 1.17053i | ||||
\(451\) | 20.8999 | − | 12.0666i | 0.984140 | − | 0.568194i | ||||
\(452\) | 9.87727 | − | 11.1405i | 0.464588 | − | 0.524006i | ||||
\(453\) | 2.03552 | + | 16.8628i | 0.0956370 | + | 0.792282i | ||||
\(454\) | 4.02160 | − | 3.28225i | 0.188743 | − | 0.154044i | ||||
\(455\) | −22.4455 | + | 10.7739i | −1.05226 | + | 0.505087i | ||||
\(456\) | 3.31119 | + | 1.57636i | 0.155061 | + | 0.0738199i | ||||
\(457\) | 7.79723 | − | 13.5052i | 0.364739 | − | 0.631747i | −0.623995 | − | 0.781428i | \(-0.714492\pi\) |
0.988734 | + | 0.149682i | \(0.0478248\pi\) | |||||||
\(458\) | 0.339499 | + | 2.09156i | 0.0158638 | + | 0.0977320i | ||||
\(459\) | 0.269354 | − | 0.328486i | 0.0125724 | − | 0.0153324i | ||||
\(460\) | 2.33410 | + | 0.477443i | 0.108828 | + | 0.0222609i | ||||
\(461\) | 24.4729 | − | 14.1294i | 1.13982 | − | 0.658074i | 0.193432 | − | 0.981114i | \(-0.438038\pi\) |
0.946385 | + | 0.323040i | \(0.104705\pi\) | |||||||
\(462\) | −19.4284 | + | 5.60871i | −0.903891 | + | 0.260941i | ||||
\(463\) | 19.2673i | 0.895426i | 0.894177 | + | 0.447713i | \(0.147761\pi\) | ||||
−0.894177 | + | 0.447713i | \(0.852239\pi\) | |||||||
\(464\) | 2.05519 | − | 0.247946i | 0.0954099 | − | 0.0115106i | ||||
\(465\) | 48.4506 | − | 5.84851i | 2.24685 | − | 0.271218i | ||||
\(466\) | 2.32095 | − | 0.376733i | 0.107516 | − | 0.0174518i | ||||
\(467\) | −6.80894 | −0.315080 | −0.157540 | − | 0.987513i | \(-0.550356\pi\) | ||||
−0.157540 | + | 0.987513i | \(0.550356\pi\) | |||||||
\(468\) | −10.1050 | − | 19.1282i | −0.467103 | − | 0.884203i | ||||
\(469\) | 19.3261 | 0.892396 | ||||||||
\(470\) | 36.5758 | − | 5.93695i | 1.68712 | − | 0.273851i | ||||
\(471\) | −2.06946 | + | 0.249806i | −0.0953557 | + | 0.0115105i | ||||
\(472\) | 12.2986 | − | 19.4239i | 0.566088 | − | 0.894058i | ||||
\(473\) | 20.1905i | 0.928360i | ||||||||
\(474\) | 14.3228 | − | 4.13478i | 0.657866 | − | 0.189917i | ||||
\(475\) | 4.12145 | − | 2.37952i | 0.189105 | − | 0.109180i | ||||
\(476\) | 0.0671390 | − | 0.328226i | 0.00307731 | − | 0.0150442i | ||||
\(477\) | −5.66873 | − | 23.1385i | −0.259553 | − | 1.05944i | ||||
\(478\) | −1.64588 | − | 10.1398i | −0.0752806 | − | 0.463782i | ||||
\(479\) | −13.3460 | + | 23.1160i | −0.609796 | + | 1.05620i | 0.381478 | + | 0.924378i | \(0.375415\pi\) |
−0.991274 | + | 0.131819i | \(0.957918\pi\) | |||||||
\(480\) | −19.8802 | + | 26.3645i | −0.907405 | + | 1.20337i | ||||
\(481\) | 31.2786 | + | 21.3840i | 1.42618 | + | 0.975028i | ||||
\(482\) | 5.39021 | − | 4.39925i | 0.245517 | − | 0.200380i | ||||
\(483\) | −0.150334 | − | 1.24541i | −0.00684044 | − | 0.0566680i | ||||
\(484\) | 7.83156 | + | 6.94352i | 0.355980 | + | 0.315614i | ||||
\(485\) | −44.4085 | + | 25.6393i | −2.01649 | + | 1.16422i | ||||
\(486\) | 15.2125 | + | 15.9555i | 0.690054 | + | 0.723758i | ||||
\(487\) | 1.43291 | − | 0.827294i | 0.0649316 | − | 0.0374882i | −0.467183 | − | 0.884161i | \(-0.654731\pi\) |
0.532114 | + | 0.846673i | \(0.321398\pi\) | |||||||
\(488\) | 4.95206 | − | 7.82109i | 0.224169 | − | 0.354044i | ||||
\(489\) | −14.8510 | + | 11.1436i | −0.671587 | + | 0.503929i | ||||
\(490\) | −4.73725 | + | 12.4839i | −0.214007 | + | 0.563964i | ||||
\(491\) | 14.9380 | − | 25.8734i | 0.674144 | − | 1.16765i | −0.302575 | − | 0.953126i | \(-0.597846\pi\) |
0.976718 | − | 0.214526i | \(-0.0688205\pi\) | |||||||
\(492\) | −20.6802 | − | 1.69205i | −0.932334 | − | 0.0762837i | ||||
\(493\) | −0.0423090 | −0.00190550 | ||||||||
\(494\) | −3.13203 | + | 2.18175i | −0.140917 | + | 0.0981617i | ||||
\(495\) | −39.1104 | − | 11.3879i | −1.75788 | − | 0.511849i | ||||
\(496\) | 20.0699 | + | 26.7509i | 0.901164 | + | 1.20115i | ||||
\(497\) | 4.60106 | + | 2.65642i | 0.206386 | + | 0.119157i | ||||
\(498\) | 0.783205 | + | 2.71300i | 0.0350962 | + | 0.121572i | ||||
\(499\) | − | 39.1034i | − | 1.75051i | −0.483661 | − | 0.875255i | \(-0.660693\pi\) | ||
0.483661 | − | 0.875255i | \(-0.339307\pi\) | |||||||
\(500\) | 2.89395 | + | 8.67953i | 0.129421 | + | 0.388160i | ||||
\(501\) | −14.3276 | + | 33.5629i | −0.640111 | + | 1.49948i | ||||
\(502\) | −18.7125 | + | 15.2723i | −0.835178 | + | 0.681635i | ||||
\(503\) | 14.3791 | + | 24.9054i | 0.641133 | + | 1.11048i | 0.985180 | + | 0.171523i | \(0.0548687\pi\) |
−0.344047 | + | 0.938952i | \(0.611798\pi\) | |||||||
\(504\) | 16.4806 | + | 5.53829i | 0.734106 | + | 0.246695i | ||||
\(505\) | −6.83000 | + | 11.8299i | −0.303931 | + | 0.526424i | ||||
\(506\) | −1.56033 | + | 1.27347i | −0.0693651 | + | 0.0566127i | ||||
\(507\) | 22.5051 | + | 0.721004i | 0.999487 | + | 0.0320209i | ||||
\(508\) | 18.1336 | + | 3.70926i | 0.804551 | + | 0.164572i | ||||
\(509\) | 27.5001 | + | 15.8772i | 1.21892 | + | 0.703745i | 0.964687 | − | 0.263398i | \(-0.0848431\pi\) |
0.254235 | + | 0.967143i | \(0.418176\pi\) | |||||||
\(510\) | 0.467930 | − | 0.486297i | 0.0207203 | − | 0.0215336i | ||||
\(511\) | 21.1742 | − | 12.2249i | 0.936690 | − | 0.540798i | ||||
\(512\) | −22.4577 | − | 2.76621i | −0.992499 | − | 0.122250i | ||||
\(513\) | 2.46637 | − | 3.00783i | 0.108893 | − | 0.132799i | ||||
\(514\) | −7.97172 | + | 21.0075i | −0.351617 | + | 0.926603i | ||||
\(515\) | 22.6291 | 0.997156 | ||||||||
\(516\) | 9.87677 | − | 14.2758i | 0.434801 | − | 0.628458i | ||||
\(517\) | −15.6624 | + | 27.1281i | −0.688832 | + | 1.19309i | ||||
\(518\) | −30.0579 | + | 4.87897i | −1.32067 | + | 0.214370i | ||||
\(519\) | 2.28314 | − | 1.71317i | 0.100219 | − | 0.0751997i | ||||
\(520\) | −13.5944 | − | 31.5652i | −0.596154 | − | 1.38423i | ||||
\(521\) | − | 0.934505i | − | 0.0409414i | −0.999790 | − | 0.0204707i | \(-0.993484\pi\) | ||
0.999790 | − | 0.0204707i | \(-0.00651648\pi\) | |||||||
\(522\) | 0.268132 | − | 2.17923i | 0.0117358 | − | 0.0953825i | ||||
\(523\) | −23.8314 | − | 13.7590i | −1.04207 | − | 0.601641i | −0.121653 | − | 0.992573i | \(-0.538819\pi\) |
−0.920420 | + | 0.390932i | \(0.872153\pi\) | |||||||
\(524\) | −32.2716 | + | 10.7601i | −1.40979 | + | 0.470056i | ||||
\(525\) | 18.0468 | − | 13.5415i | 0.787626 | − | 0.590999i | ||||
\(526\) | −32.0151 | − | 12.1487i | −1.39592 | − | 0.529710i | ||||
\(527\) | −0.341753 | − | 0.591933i | −0.0148870 | − | 0.0257850i | ||||
\(528\) | −6.64047 | − | 27.1127i | −0.288989 | − | 1.17993i | ||||
\(529\) | 11.4375 | + | 19.8104i | 0.497284 | + | 0.861321i | ||||
\(530\) | −6.06384 | − | 37.3576i | −0.263396 | − | 1.62271i | ||||
\(531\) | −16.8672 | − | 17.6099i | −0.731973 | − | 0.764206i | ||||
\(532\) | 0.614767 | − | 3.00544i | 0.0266535 | − | 0.130303i | ||||
\(533\) | 12.1886 | − | 17.8283i | 0.527945 | − | 0.772231i | ||||
\(534\) | −4.61062 | + | 18.6344i | −0.199521 | + | 0.806389i | ||||
\(535\) | −23.0292 | − | 13.2959i | −0.995641 | − | 0.574833i | ||||
\(536\) | −1.08954 | + | 26.6554i | −0.0470610 | + | 1.15134i | ||||
\(537\) | 9.29152 | − | 21.7657i | 0.400959 | − | 0.939258i | ||||
\(538\) | −0.839101 | − | 1.02812i | −0.0361762 | − | 0.0443252i | ||||
\(539\) | −5.64390 | − | 9.77552i | −0.243100 | − | 0.421061i | ||||
\(540\) | 22.0825 | + | 27.1839i | 0.950281 | + | 1.16981i | ||||
\(541\) | −9.26830 | −0.398475 | −0.199238 | − | 0.979951i | \(-0.563847\pi\) | ||||
−0.199238 | + | 0.979951i | \(0.563847\pi\) | |||||||
\(542\) | 15.5962 | − | 41.1001i | 0.669915 | − | 1.76540i | ||||
\(543\) | 9.94588 | − | 1.20057i | 0.426819 | − | 0.0515216i | ||||
\(544\) | 0.448918 | + | 0.111105i | 0.0192472 | + | 0.00476360i | ||||
\(545\) | − | 50.9925i | − | 2.18428i | ||||||
\(546\) | −13.5022 | + | 12.0485i | −0.577839 | + | 0.515628i | ||||
\(547\) | − | 12.7291i | − | 0.544255i | −0.962261 | − | 0.272127i | \(-0.912273\pi\) | ||
0.962261 | − | 0.272127i | \(-0.0877272\pi\) | |||||||
\(548\) | −3.75020 | + | 4.22983i | −0.160200 | + | 0.180689i | ||||
\(549\) | −6.79162 | − | 7.09069i | −0.289859 | − | 0.302623i | ||||
\(550\) | −33.8677 | − | 12.8518i | −1.44412 | − | 0.548001i | ||||
\(551\) | −0.387408 | −0.0165041 | ||||||||
\(552\) | 1.72620 | − | 0.137135i | 0.0734718 | − | 0.00583687i | ||||
\(553\) | −6.23512 | − | 10.7995i | −0.265144 | − | 0.459243i | ||||
\(554\) | −7.99534 | + | 6.52544i | −0.339690 | + | 0.277239i | ||||
\(555\) | −56.4155 | − | 24.0831i | −2.39471 | − | 1.02227i | ||||
\(556\) | 16.0815 | − | 18.1383i | 0.682008 | − | 0.769233i | ||||
\(557\) | −21.2701 | − | 12.2803i | −0.901244 | − | 0.520333i | −0.0236402 | − | 0.999721i | \(-0.507526\pi\) |
−0.877603 | + | 0.479387i | \(0.840859\pi\) | |||||||
\(558\) | 32.6549 | − | 13.8515i | 1.38239 | − | 0.586381i | ||||
\(559\) | 7.81872 | + | 16.2890i | 0.330696 | + | 0.688949i | ||||
\(560\) | 25.4026 | + | 10.8461i | 1.07345 | + | 0.458330i | ||||
\(561\) | 0.0683706 | + | 0.566400i | 0.00288661 | + | 0.0239134i | ||||
\(562\) | −17.2708 | + | 2.80338i | −0.728525 | + | 0.118253i | ||||
\(563\) | −3.64051 | − | 6.30555i | −0.153429 | − | 0.265747i | 0.779057 | − | 0.626954i | \(-0.215698\pi\) |
−0.932486 | + | 0.361206i | \(0.882365\pi\) | |||||||
\(564\) | 24.3447 | − | 11.5194i | 1.02510 | − | 0.485053i | ||||
\(565\) | −12.5440 | − | 21.7268i | −0.527729 | − | 0.914053i | ||||
\(566\) | 3.93613 | − | 10.3727i | 0.165448 | − | 0.435998i | ||||
\(567\) | 9.89974 | − | 15.5584i | 0.415750 | − | 0.653393i | ||||
\(568\) | −3.92324 | + | 6.19621i | −0.164616 | + | 0.259987i | ||||
\(569\) | −27.1750 | − | 15.6895i | −1.13924 | − | 0.657738i | −0.192995 | − | 0.981200i | \(-0.561820\pi\) |
−0.946241 | + | 0.323462i | \(0.895153\pi\) | |||||||
\(570\) | 4.28467 | − | 4.45285i | 0.179465 | − | 0.186509i | ||||
\(571\) | 24.6400i | 1.03115i | 0.856844 | + | 0.515575i | \(0.172422\pi\) | ||||
−0.856844 | + | 0.515575i | \(0.827578\pi\) | |||||||
\(572\) | 27.9396 | + | 7.96903i | 1.16821 | + | 0.333202i | ||||
\(573\) | 6.61760 | + | 8.81929i | 0.276454 | + | 0.368431i | ||||
\(574\) | 2.78094 | + | 17.1325i | 0.116074 | + | 0.715098i | ||||
\(575\) | 1.12358 | − | 1.94609i | 0.0468563 | − | 0.0811575i | ||||
\(576\) | −8.56778 | + | 22.4186i | −0.356991 | + | 0.934108i | ||||
\(577\) | −32.1163 | −1.33702 | −0.668509 | − | 0.743704i | \(-0.733067\pi\) | ||||
−0.668509 | + | 0.743704i | \(0.733067\pi\) | |||||||
\(578\) | 22.4688 | + | 8.52624i | 0.934581 | + | 0.354645i | ||||
\(579\) | −0.241249 | + | 0.565133i | −0.0100260 | + | 0.0234861i | ||||
\(580\) | 0.699039 | − | 3.41743i | 0.0290260 | − | 0.141901i | ||||
\(581\) | 2.04564 | − | 1.18105i | 0.0848673 | − | 0.0489981i | ||||
\(582\) | −25.8425 | + | 26.8569i | −1.07121 | + | 1.11325i | ||||
\(583\) | 27.7079 | + | 15.9972i | 1.14754 | + | 0.662535i | ||||
\(584\) | 15.6674 | + | 29.8935i | 0.648321 | + | 1.23700i | ||||
\(585\) | −35.9628 | + | 5.95804i | −1.48688 | + | 0.246334i | ||||
\(586\) | −4.30034 | − | 5.26902i | −0.177645 | − | 0.217661i | ||||
\(587\) | −22.6107 | + | 39.1628i | −0.933242 | + | 1.61642i | −0.155502 | + | 0.987836i | \(0.549700\pi\) |
−0.777740 | + | 0.628587i | \(0.783634\pi\) | |||||||
\(588\) | −0.791424 | + | 9.67273i | −0.0326378 | + | 0.398896i | ||||
\(589\) | −3.12931 | − | 5.42012i | −0.128941 | − | 0.223332i | ||||
\(590\) | −24.4946 | − | 30.0122i | −1.00843 | − | 1.23558i | ||||
\(591\) | 16.1251 | + | 6.88364i | 0.663300 | + | 0.283155i | ||||
\(592\) | −5.03472 | − | 41.7323i | −0.206926 | − | 1.71519i | ||||
\(593\) | 39.6453i | 1.62804i | 0.580839 | + | 0.814018i | \(0.302724\pi\) | ||||
−0.580839 | + | 0.814018i | \(0.697276\pi\) | |||||||
\(594\) | −29.6072 | − | 0.0679421i | −1.21480 | − | 0.00278770i | ||||
\(595\) | −0.488893 | − | 0.282263i | −0.0200427 | − | 0.0115716i | ||||
\(596\) | −26.9078 | + | 30.3491i | −1.10219 | + | 1.24315i | ||||
\(597\) | 5.82103 | − | 4.36784i | 0.238239 | − | 0.178764i | ||||
\(598\) | −0.765668 | + | 1.63162i | −0.0313105 | + | 0.0667220i | ||||
\(599\) | 8.91705 | 0.364341 | 0.182170 | − | 0.983267i | \(-0.441688\pi\) | ||||
0.182170 | + | 0.983267i | \(0.441688\pi\) | |||||||
\(600\) | 17.6596 | + | 25.6543i | 0.720950 | + | 1.04733i | ||||
\(601\) | 18.7035 | − | 32.3954i | 0.762932 | − | 1.32144i | −0.178401 | − | 0.983958i | \(-0.557092\pi\) |
0.941333 | − | 0.337479i | \(-0.109574\pi\) | |||||||
\(602\) | −13.5765 | − | 5.15188i | −0.553338 | − | 0.209975i | ||||
\(603\) | 27.1677 | + | 7.91052i | 1.10635 | + | 0.322141i | ||||
\(604\) | 6.20361 | + | 18.6058i | 0.252421 | + | 0.757061i | ||||
\(605\) | 15.2735 | − | 8.81815i | 0.620956 | − | 0.358509i | ||||
\(606\) | −2.38467 | + | 9.63793i | −0.0968705 | + | 0.391514i | ||||
\(607\) | −1.14018 | + | 0.658283i | −0.0462785 | + | 0.0267189i | −0.522961 | − | 0.852357i | \(-0.675173\pi\) |
0.476682 | + | 0.879076i | \(0.341839\pi\) | |||||||
\(608\) | 4.11058 | + | 1.01735i | 0.166706 | + | 0.0412590i | ||||
\(609\) | −1.82344 | + | 0.220109i | −0.0738895 | + | 0.00891926i | ||||
\(610\) | −9.86285 | − | 12.0845i | −0.399335 | − | 0.489288i | ||||
\(611\) | −2.13058 | + | 27.9512i | −0.0861940 | + | 1.13078i | ||||
\(612\) | 0.228729 | − | 0.433923i | 0.00924584 | − | 0.0175403i | ||||
\(613\) | 5.46270 | − | 9.46167i | 0.220636 | − | 0.382153i | −0.734365 | − | 0.678755i | \(-0.762520\pi\) |
0.955001 | + | 0.296601i | \(0.0958533\pi\) | |||||||
\(614\) | −17.7739 | + | 2.88504i | −0.717295 | + | 0.116431i | ||||
\(615\) | −13.7270 | + | 32.1559i | −0.553526 | + | 1.29665i | ||||
\(616\) | −20.6817 | + | 10.8394i | −0.833290 | + | 0.436733i | ||||
\(617\) | −34.8239 | + | 20.1056i | −1.40196 | + | 0.809421i | −0.994594 | − | 0.103844i | \(-0.966886\pi\) |
−0.407365 | + | 0.913265i | \(0.633552\pi\) | |||||||
\(618\) | 15.8023 | − | 4.56190i | 0.635661 | − | 0.183507i | ||||
\(619\) | 46.9116i | 1.88554i | 0.333448 | + | 0.942768i | \(0.391788\pi\) | ||||
−0.333448 | + | 0.942768i | \(0.608212\pi\) | |||||||
\(620\) | 53.4589 | − | 17.8244i | 2.14696 | − | 0.715845i | ||||
\(621\) | 0.298435 | − | 1.81227i | 0.0119758 | − | 0.0727238i | ||||
\(622\) | −1.92690 | − | 11.8710i | −0.0772615 | − | 0.475986i | ||||
\(623\) | 16.0577 | 0.643339 | ||||||||
\(624\) | −15.8566 | − | 19.3020i | −0.634772 | − | 0.772699i | ||||
\(625\) | −16.3703 | −0.654810 | ||||||||
\(626\) | −1.03788 | − | 6.39407i | −0.0414820 | − | 0.255558i | ||||
\(627\) | 0.626044 | + | 5.18632i | 0.0250018 | + | 0.207122i | ||||
\(628\) | −2.28337 | + | 0.761329i | −0.0911166 | + | 0.0303803i | ||||
\(629\) | 0.859116i | 0.0342552i | ||||||||
\(630\) | 17.6370 | − | 23.3929i | 0.702676 | − | 0.931996i | ||||
\(631\) | 8.80614 | − | 5.08423i | 0.350567 | − | 0.202400i | −0.314368 | − | 0.949301i | \(-0.601793\pi\) |
0.664935 | + | 0.746901i | \(0.268459\pi\) | |||||||
\(632\) | 15.2467 | − | 7.99091i | 0.606482 | − | 0.317861i | ||||
\(633\) | −14.5942 | − | 6.23008i | −0.580066 | − | 0.247623i | ||||
\(634\) | 12.3695 | − | 2.00781i | 0.491257 | − | 0.0797404i | ||||
\(635\) | 15.5943 | − | 27.0101i | 0.618841 | − | 1.07186i | ||||
\(636\) | −11.7656 | − | 24.8650i | −0.466536 | − | 0.985963i | ||||
\(637\) | −8.33884 | − | 5.70095i | −0.330397 | − | 0.225880i | ||||
\(638\) | 1.86453 | + | 2.28452i | 0.0738173 | + | 0.0904452i | ||||
\(639\) | 5.38062 | + | 5.61756i | 0.212854 | + | 0.222227i | ||||
\(640\) | −16.3915 | + | 34.4249i | −0.647930 | + | 1.36076i | ||||
\(641\) | 12.3628 | − | 7.13764i | 0.488299 | − | 0.281920i | −0.235569 | − | 0.971858i | \(-0.575695\pi\) |
0.723869 | + | 0.689938i | \(0.242362\pi\) | |||||||
\(642\) | −18.7621 | − | 4.64222i | −0.740482 | − | 0.183214i | ||||
\(643\) | 29.4794 | − | 17.0199i | 1.16255 | − | 0.671201i | 0.210639 | − | 0.977564i | \(-0.432446\pi\) |
0.951915 | + | 0.306363i | \(0.0991122\pi\) | |||||||
\(644\) | −0.458170 | − | 1.37414i | −0.0180544 | − | 0.0541488i | ||||
\(645\) | −17.5561 | − | 23.3971i | −0.691271 | − | 0.921259i | ||||
\(646\) | −0.0809175 | − | 0.0307057i | −0.00318366 | − | 0.00120810i | ||||
\(647\) | −0.818009 | + | 1.41683i | −0.0321593 | + | 0.0557015i | −0.881657 | − | 0.471891i | \(-0.843572\pi\) |
0.849498 | + | 0.527592i | \(0.176905\pi\) | |||||||
\(648\) | 20.9008 | + | 14.5313i | 0.821059 | + | 0.570843i | ||||
\(649\) | 32.7489 | 1.28551 | ||||||||
\(650\) | −32.3001 | + | 2.74685i | −1.26691 | + | 0.107740i | ||||
\(651\) | −17.8084 | − | 23.7333i | −0.697967 | − | 0.930182i | ||||
\(652\) | −14.2230 | + | 16.0421i | −0.557017 | + | 0.628256i | ||||
\(653\) | −6.11958 | − | 3.53314i | −0.239478 | − | 0.138262i | 0.375459 | − | 0.926839i | \(-0.377485\pi\) |
−0.614937 | + | 0.788577i | \(0.710818\pi\) | |||||||
\(654\) | −10.2798 | − | 35.6090i | −0.401973 | − | 1.39242i | ||||
\(655\) | 57.3219i | 2.23975i | ||||||||
\(656\) | −23.7867 | + | 2.86971i | −0.928716 | + | 0.112043i | ||||
\(657\) | 34.7695 | − | 8.51822i | 1.35649 | − | 0.332327i | ||||
\(658\) | −14.2450 | − | 17.4538i | −0.555330 | − | 0.680422i | ||||
\(659\) | −17.8215 | − | 30.8678i | −0.694228 | − | 1.20244i | −0.970440 | − | 0.241341i | \(-0.922413\pi\) |
0.276212 | − | 0.961097i | \(-0.410921\pi\) | |||||||
\(660\) | −46.8796 | − | 3.83570i | −1.82479 | − | 0.149304i | ||||
\(661\) | 8.31381 | − | 14.3999i | 0.323370 | − | 0.560093i | −0.657811 | − | 0.753183i | \(-0.728518\pi\) |
0.981181 | + | 0.193090i | \(0.0618509\pi\) | |||||||
\(662\) | 11.6999 | + | 14.3354i | 0.454729 | + | 0.557160i | ||||
\(663\) | 0.274496 | + | 0.430475i | 0.0106605 | + | 0.0167183i | ||||
\(664\) | 1.51363 | + | 2.88801i | 0.0587401 | + | 0.112077i | ||||
\(665\) | −4.47662 | − | 2.58458i | −0.173596 | − | 0.100226i | ||||
\(666\) | −44.2510 | − | 5.44463i | −1.71469 | − | 0.210975i | ||||
\(667\) | −0.158421 | + | 0.0914642i | −0.00613407 | + | 0.00354151i | ||||
\(668\) | −8.44465 | + | 41.2838i | −0.326733 | + | 1.59732i | ||||
\(669\) | −15.0557 | − | 6.42710i | −0.582087 | − | 0.248486i | ||||
\(670\) | 42.0286 | + | 15.9486i | 1.62371 | + | 0.616147i | ||||
\(671\) | 13.1865 | 0.509058 | ||||||||
\(672\) | 19.9256 | + | 2.45298i | 0.768646 | + | 0.0946256i | ||||
\(673\) | 4.31175 | − | 7.46817i | 0.166206 | − | 0.287877i | −0.770877 | − | 0.636984i | \(-0.780182\pi\) |
0.937083 | + | 0.349107i | \(0.113515\pi\) | |||||||
\(674\) | −0.277126 | − | 1.70729i | −0.0106745 | − | 0.0657625i | ||||
\(675\) | 30.9120 | − | 11.6491i | 1.18981 | − | 0.448374i | ||||
\(676\) | 25.6266 | − | 4.39041i | 0.985640 | − | 0.168862i | ||||
\(677\) | 6.81203i | 0.261808i | 0.991395 | + | 0.130904i | \(0.0417879\pi\) | ||||
−0.991395 | + | 0.130904i | \(0.958212\pi\) | |||||||
\(678\) | −13.1397 | − | 12.6434i | −0.504627 | − | 0.485567i | ||||
\(679\) | 27.0002 | + | 15.5886i | 1.03617 | + | 0.598236i | ||||
\(680\) | 0.416871 | − | 0.658390i | 0.0159863 | − | 0.0252481i | ||||
\(681\) | −3.81575 | − | 5.08525i | −0.146220 | − | 0.194867i | ||||
\(682\) | −16.9014 | + | 44.5395i | −0.647187 | + | 1.70550i | ||||
\(683\) | −5.56014 | − | 9.63045i | −0.212753 | − | 0.368499i | 0.739822 | − | 0.672802i | \(-0.234910\pi\) |
−0.952575 | + | 0.304304i | \(0.901576\pi\) | |||||||
\(684\) | 2.09439 | − | 3.97327i | 0.0800810 | − | 0.151922i | ||||
\(685\) | 4.76269 | + | 8.24922i | 0.181973 | + | 0.315186i | ||||
\(686\) | 28.0354 | − | 4.55067i | 1.07040 | − | 0.173746i | ||||
\(687\) | 2.57645 | − | 0.311005i | 0.0982976 | − | 0.0118656i | ||||
\(688\) | 7.87110 | − | 18.4349i | 0.300083 | − | 0.702824i | ||||
\(689\) | 28.5486 | + | 2.17612i | 1.08761 | + | 0.0829035i | ||||
\(690\) | 0.700822 | − | 2.83246i | 0.0266798 | − | 0.107830i | ||||
\(691\) | −12.4711 | − | 7.20022i | −0.474425 | − | 0.273909i | 0.243665 | − | 0.969859i | \(-0.421650\pi\) |
−0.718090 | + | 0.695950i | \(0.754983\pi\) | |||||||
\(692\) | 2.18659 | − | 2.46625i | 0.0831218 | − | 0.0937526i | ||||
\(693\) | 5.89330 | + | 24.0551i | 0.223868 | + | 0.913779i | ||||
\(694\) | 28.7670 | − | 23.4783i | 1.09198 | − | 0.891225i | ||||
\(695\) | −20.4233 | − | 35.3741i | −0.774699 | − | 1.34182i | ||||
\(696\) | −0.200784 | − | 2.52738i | −0.00761070 | − | 0.0957999i | ||||
\(697\) | 0.489682 | 0.0185480 | ||||||||
\(698\) | 19.2513 | + | 7.30529i | 0.728674 | + | 0.276509i | ||||
\(699\) | −0.345114 | − | 2.85902i | −0.0130534 | − | 0.108138i | ||||
\(700\) | 17.2836 | − | 19.4941i | 0.653260 | − | 0.736808i | ||||
\(701\) | − | 32.5452i | − | 1.22921i | −0.788833 | − | 0.614607i | \(-0.789315\pi\) | ||
0.788833 | − | 0.614607i | \(-0.210685\pi\) | |||||||
\(702\) | −23.9123 | + | 11.4105i | −0.902513 | + | 0.430662i | ||||
\(703\) | 7.86661i | 0.296695i | ||||||||
\(704\) | −13.7842 | − | 29.1362i | −0.519513 | − | 1.09811i | ||||
\(705\) | −5.43866 | − | 45.0553i | −0.204832 | − | 1.69688i | ||||
\(706\) | −9.41110 | + | 24.8007i | −0.354191 | + | 0.933386i | ||||
\(707\) | 8.30525 | 0.312351 | ||||||||
\(708\) | −23.1554 | − | 16.0201i | −0.870232 | − | 0.602072i | ||||
\(709\) | 2.88461 | + | 4.99629i | 0.108334 | + | 0.187640i | 0.915095 | − | 0.403238i | \(-0.132115\pi\) |
−0.806762 | + | 0.590877i | \(0.798782\pi\) | |||||||
\(710\) | 7.81378 | + | 9.57389i | 0.293246 | + | 0.359302i | ||||
\(711\) | −4.34458 | − | 17.7336i | −0.162935 | − | 0.665063i | ||||
\(712\) | −0.905280 | + | 22.1475i | −0.0339268 | + | 0.830013i | ||||
\(713\) | −2.55930 | − | 1.47761i | −0.0958466 | − | 0.0553371i | ||||
\(714\) | −0.398306 | − | 0.0985508i | −0.0149062 | − | 0.00368817i | ||||
\(715\) | 27.6301 | − | 40.4148i | 1.03331 | − | 1.51143i | ||||
\(716\) | 5.47639 | − | 26.7727i | 0.204662 | − | 1.00054i | ||||
\(717\) | −12.4905 | + | 1.50774i | −0.466466 | + | 0.0563074i | ||||
\(718\) | 3.18316 | + | 19.6105i | 0.118794 | + | 0.731857i | ||||
\(719\) | −24.2683 | − | 42.0340i | −0.905056 | − | 1.56760i | −0.820842 | − | 0.571155i | \(-0.806496\pi\) |
−0.0842132 | − | 0.996448i | \(-0.526838\pi\) | |||||||
\(720\) | 31.2702 | + | 25.6446i | 1.16537 | + | 0.955717i | ||||
\(721\) | −6.87921 | − | 11.9151i | −0.256195 | − | 0.443743i | ||||
\(722\) | 24.3812 | + | 9.25191i | 0.907374 | + | 0.344321i | ||||
\(723\) | −5.11430 | − | 6.81583i | −0.190203 | − | 0.253484i | ||||
\(724\) | 10.9740 | − | 3.65897i | 0.407844 | − | 0.135985i | ||||
\(725\) | −2.84933 | − | 1.64506i | −0.105821 | − | 0.0610960i | ||||
\(726\) | 8.88806 | − | 9.23693i | 0.329867 | − | 0.342815i | ||||
\(727\) | 8.93154i | 0.331253i | 0.986189 | + | 0.165626i | \(0.0529646\pi\) | ||||
−0.986189 | + | 0.165626i | \(0.947035\pi\) | |||||||
\(728\) | −12.4877 | + | 16.7538i | −0.462826 | + | 0.620937i | ||||
\(729\) | 20.2849 | − | 17.8192i | 0.751293 | − | 0.659969i | ||||
\(730\) | 56.1360 | − | 9.11194i | 2.07769 | − | 0.337248i | ||||
\(731\) | −0.204841 | + | 0.354795i | −0.00757632 | + | 0.0131226i | ||||
\(732\) | −9.32358 | − | 6.45054i | −0.344609 | − | 0.238419i | ||||
\(733\) | −12.5153 | −0.462264 | −0.231132 | − | 0.972922i | \(-0.574243\pi\) | ||||
−0.231132 | + | 0.972922i | \(0.574243\pi\) | |||||||
\(734\) | −14.9680 | + | 39.4445i | −0.552478 | + | 1.45592i | ||||
\(735\) | 15.0403 | + | 6.42053i | 0.554769 | + | 0.236825i | ||||
\(736\) | 1.92111 | − | 0.554459i | 0.0708130 | − | 0.0204376i | ||||
\(737\) | −32.9106 | + | 19.0009i | −1.21228 | + | 0.699908i | ||||
\(738\) | −3.10335 | + | 25.2224i | −0.114236 | + | 0.928448i | ||||
\(739\) | −41.1148 | − | 23.7376i | −1.51243 | − | 0.873203i | −0.999894 | − | 0.0145381i | \(-0.995372\pi\) |
−0.512538 | − | 0.858665i | \(-0.671294\pi\) | |||||||
\(740\) | −69.3935 | − | 14.1945i | −2.55096 | − | 0.521801i | ||||
\(741\) | 2.51346 | + | 3.94170i | 0.0923342 | + | 0.144802i | ||||
\(742\) | −17.8269 | + | 14.5495i | −0.654446 | + | 0.534129i | ||||
\(743\) | 2.61288 | − | 4.52564i | 0.0958573 | − | 0.166030i | −0.814109 | − | 0.580712i | \(-0.802774\pi\) |
0.909966 | + | 0.414683i | \(0.136107\pi\) | |||||||
\(744\) | 33.7380 | − | 23.2241i | 1.23689 | − | 0.851438i | ||||
\(745\) | 34.1725 | + | 59.1884i | 1.25198 | + | 2.16850i | ||||
\(746\) | −30.9956 | + | 25.2972i | −1.13483 | + | 0.926198i | ||||
\(747\) | 3.35908 | − | 0.822945i | 0.122902 | − | 0.0301100i | ||||
\(748\) | 0.208372 | + | 0.624948i | 0.00761883 | + | 0.0228503i | ||||
\(749\) | 16.1678i | 0.590758i | ||||||||
\(750\) | 10.7659 | − | 3.10796i | 0.393115 | − | 0.113487i | ||||
\(751\) | 29.6104 | + | 17.0956i | 1.08050 | + | 0.623827i | 0.931031 | − | 0.364939i | \(-0.118910\pi\) |
0.149469 | + | 0.988766i | \(0.452244\pi\) | |||||||
\(752\) | 24.8762 | − | 18.6634i | 0.907141 | − | 0.680584i | ||||
\(753\) | 17.7546 | + | 23.6616i | 0.647014 | + | 0.862277i | ||||
\(754\) | 2.38891 | + | 1.12104i | 0.0869989 | + | 0.0408258i | ||||
\(755\) | 33.0483 | 1.20275 | ||||||||
\(756\) | 7.60038 | − | 19.8912i | 0.276423 | − | 0.723437i | ||||
\(757\) | 19.5949 | − | 33.9393i | 0.712187 | − | 1.23354i | −0.251848 | − | 0.967767i | \(-0.581038\pi\) |
0.964035 | − | 0.265777i | \(-0.0856285\pi\) | |||||||
\(758\) | −4.00905 | + | 10.5649i | −0.145615 | + | 0.383733i | ||||
\(759\) | 1.48046 | + | 1.97301i | 0.0537372 | + | 0.0716158i | ||||
\(760\) | 3.81714 | − | 6.02864i | 0.138462 | − | 0.218682i | ||||
\(761\) | −44.5347 | + | 25.7121i | −1.61438 | + | 0.932064i | −0.626043 | + | 0.779788i | \(0.715327\pi\) |
−0.988338 | + | 0.152275i | \(0.951340\pi\) | |||||||
\(762\) | 5.44469 | − | 22.0054i | 0.197240 | − | 0.797171i | ||||
\(763\) | −26.8497 | + | 15.5017i | −0.972023 | + | 0.561198i | ||||
\(764\) | 9.52659 | + | 8.44635i | 0.344660 | + | 0.305578i | ||||
\(765\) | −0.571727 | − | 0.596904i | −0.0206708 | − | 0.0215811i | ||||
\(766\) | −35.5452 | + | 29.0104i | −1.28430 | + | 1.04819i | ||||
\(767\) | 26.4207 | − | 12.6819i | 0.953995 | − | 0.457918i | ||||
\(768\) | −4.50659 | + | 27.3439i | −0.162617 | + | 0.986689i | ||||
\(769\) | −5.02985 | + | 8.71196i | −0.181381 | + | 0.314161i | −0.942351 | − | 0.334626i | \(-0.891390\pi\) |
0.760970 | + | 0.648787i | \(0.224723\pi\) | |||||||
\(770\) | 6.30406 | + | 38.8375i | 0.227183 | + | 1.39961i | ||||
\(771\) | 25.3094 | + | 10.8043i | 0.911495 | + | 0.389107i | ||||
\(772\) | −0.142191 | + | 0.695138i | −0.00511757 | + | 0.0250186i | ||||
\(773\) | 27.7251 | − | 16.0071i | 0.997202 | − | 0.575735i | 0.0897829 | − | 0.995961i | \(-0.471383\pi\) |
0.907419 | + | 0.420226i | \(0.138049\pi\) | |||||||
\(774\) | −16.9765 | − | 12.7994i | −0.610207 | − | 0.460064i | ||||
\(775\) | − | 53.1522i | − | 1.90929i | ||||||
\(776\) | −23.0227 | + | 36.3611i | −0.826465 | + | 1.30529i | ||||
\(777\) | 4.46948 | + | 37.0263i | 0.160342 | + | 1.32831i | ||||
\(778\) | 38.2505 | − | 6.20877i | 1.37135 | − | 0.222595i | ||||
\(779\) | 4.48384 | 0.160650 | ||||||||
\(780\) | −39.3061 | + | 15.0595i | −1.40738 | + | 0.539217i | ||||
\(781\) | −10.4469 | −0.373819 | ||||||||
\(782\) | −0.0403386 | + | 0.00654771i | −0.00144250 | + | 0.000234146i | ||||
\(783\) | −2.65340 | − | 0.436948i | −0.0948247 | − | 0.0156153i | ||||
\(784\) | 1.34225 | + | 11.1258i | 0.0479375 | + | 0.397348i | ||||
\(785\) | 4.05581i | 0.144758i | ||||||||
\(786\) | 11.5558 | + | 40.0289i | 0.412182 | + | 1.42778i | ||||
\(787\) | −47.3981 | + | 27.3653i | −1.68956 | + | 0.975468i | −0.734711 | + | 0.678381i | \(0.762682\pi\) |
−0.954850 | + | 0.297088i | \(0.903985\pi\) | |||||||
\(788\) | 19.8346 | + | 4.05719i | 0.706579 | + | 0.144532i | ||||
\(789\) | −16.4655 | + | 38.5710i | −0.586188 | + | 1.37316i | ||||
\(790\) | −4.64740 | − | 28.6313i | −0.165347 | − | 1.01866i | ||||
\(791\) | −7.62670 | + | 13.2098i | −0.271174 | + | 0.469687i | ||||
\(792\) | −33.5101 | + | 6.77214i | −1.19073 | + | 0.240638i | ||||
\(793\) | 10.6384 | − | 5.10642i | 0.377779 | − | 0.181334i | ||||
\(794\) | −2.13116 | + | 1.73936i | −0.0756322 | + | 0.0617276i | ||||
\(795\) | −46.0183 | + | 5.55490i | −1.63210 | + | 0.197012i | ||||
\(796\) | 5.57487 | − | 6.28787i | 0.197596 | − | 0.222868i | ||||
\(797\) | 35.8178 | − | 20.6794i | 1.26873 | − | 0.732502i | 0.293983 | − | 0.955811i | \(-0.405019\pi\) |
0.974748 | + | 0.223309i | \(0.0716858\pi\) | |||||||
\(798\) | −3.64714 | − | 0.902394i | −0.129107 | − | 0.0319444i | ||||
\(799\) | −0.550451 | + | 0.317803i | −0.0194736 | + | 0.0112431i | ||||
\(800\) | 25.9127 | + | 24.9373i | 0.916153 | + | 0.881668i | ||||
\(801\) | 22.5732 | + | 6.57271i | 0.797583 | + | 0.232235i | ||||
\(802\) | 7.58120 | − | 19.9784i | 0.267701 | − | 0.705463i | ||||
\(803\) | −24.0384 | + | 41.6358i | −0.848298 | + | 1.46929i | ||||
\(804\) | 32.5645 | + | 2.66443i | 1.14846 | + | 0.0939673i | ||||
\(805\) | −2.44080 | −0.0860269 | ||||||||
\(806\) | 3.61238 | + | 42.4778i | 0.127241 | + | 1.49622i | ||||
\(807\) | −1.30004 | + | 0.975488i | −0.0457634 | + | 0.0343388i | ||||
\(808\) | −0.468222 | + | 11.4550i | −0.0164720 | + | 0.402984i | ||||
\(809\) | 22.8811 | + | 13.2104i | 0.804456 | + | 0.464453i | 0.845027 | − | 0.534724i | \(-0.179584\pi\) |
−0.0405710 | + | 0.999177i | \(0.512918\pi\) | |||||||
\(810\) | 34.3684 | − | 25.6655i | 1.20758 | − | 0.901792i | ||||
\(811\) | − | 11.8000i | − | 0.414354i | −0.978303 | − | 0.207177i | \(-0.933572\pi\) | ||
0.978303 | − | 0.207177i | \(-0.0664277\pi\) | |||||||
\(812\) | −2.01192 | + | 0.670821i | −0.0706047 | + | 0.0235412i | ||||
\(813\) | −49.5164 | − | 21.1380i | −1.73661 | − | 0.741341i | ||||
\(814\) | 46.3890 | − | 37.8606i | 1.62593 | − | 1.32701i | ||||
\(815\) | 18.0630 | + | 31.2861i | 0.632720 | + | 1.09590i | ||||
\(816\) | 0.158381 | − | 0.543805i | 0.00554443 | − | 0.0190370i | ||||
\(817\) | −1.87565 | + | 3.24873i | −0.0656208 | + | 0.113659i | ||||
\(818\) | −6.68495 | + | 5.45596i | −0.233734 | + | 0.190763i | ||||
\(819\) | 14.0698 | + | 17.1246i | 0.491638 | + | 0.598383i | ||||
\(820\) | −8.09065 | + | 39.5532i | −0.282538 | + | 1.38126i | ||||
\(821\) | 14.9915 | + | 8.65537i | 0.523208 | + | 0.302074i | 0.738246 | − | 0.674531i | \(-0.235654\pi\) |
−0.215038 | + | 0.976606i | \(0.568988\pi\) | |||||||
\(822\) | 4.98887 | + | 4.80045i | 0.174007 | + | 0.167435i | ||||
\(823\) | 15.1121 | − | 8.72498i | 0.526775 | − | 0.304134i | −0.212927 | − | 0.977068i | \(-0.568300\pi\) |
0.739702 | + | 0.672934i | \(0.234966\pi\) | |||||||
\(824\) | 16.8217 | − | 8.81636i | 0.586012 | − | 0.307133i | ||||
\(825\) | −17.4184 | + | 40.8030i | −0.606429 | + | 1.42058i | ||||
\(826\) | −8.35634 | + | 22.0211i | −0.290754 | + | 0.766213i | ||||
\(827\) | −44.8472 | −1.55949 | −0.779744 | − | 0.626098i | \(-0.784651\pi\) | ||||
−0.779744 | + | 0.626098i | \(0.784651\pi\) | |||||||
\(828\) | −0.0816124 | − | 2.11924i | −0.00283623 | − | 0.0736487i | ||||
\(829\) | 9.79277 | − | 16.9616i | 0.340117 | − | 0.589100i | −0.644337 | − | 0.764742i | \(-0.722867\pi\) |
0.984454 | + | 0.175641i | \(0.0561999\pi\) | |||||||
\(830\) | 5.42330 | − | 0.880305i | 0.188246 | − | 0.0305558i | ||||
\(831\) | 7.58608 | + | 10.1100i | 0.263158 | + | 0.350711i | ||||
\(832\) | −22.4036 | − | 18.1681i | −0.776703 | − | 0.629867i | ||||
\(833\) | − | 0.229039i | − | 0.00793572i | ||||||
\(834\) | −21.3932 | − | 20.5852i | −0.740785 | − | 0.712806i | ||||
\(835\) | 61.4924 | + | 35.5026i | 2.12803 | + | 1.22862i | ||||
\(836\) | 1.90798 | + | 5.72242i | 0.0659890 | + | 0.197914i | ||||
\(837\) | −15.3197 | − | 40.6524i | −0.529527 | − | 1.40515i | ||||
\(838\) | 17.4905 | + | 6.63711i | 0.604200 | + | 0.229275i | ||||
\(839\) | −8.11910 | − | 14.0627i | −0.280302 | − | 0.485498i | 0.691157 | − | 0.722705i | \(-0.257101\pi\) |
−0.971459 | + | 0.237207i | \(0.923768\pi\) | |||||||
\(840\) | 14.5412 | − | 30.5441i | 0.501718 | − | 1.05387i | ||||
\(841\) | −14.3661 | − | 24.8828i | −0.495382 | − | 0.858027i | ||||
\(842\) | −5.00138 | − | 30.8121i | −0.172359 | − | 1.06185i | ||||
\(843\) | 2.56809 | + | 21.2747i | 0.0884497 | + | 0.732741i | ||||
\(844\) | −17.9514 | − | 3.67199i | −0.617914 | − | 0.126395i | ||||
\(845\) | 6.64041 | − | 43.3049i | 0.228437 | − | 1.48973i | ||||
\(846\) | −12.8808 | − | 30.3665i | −0.442852 | − | 1.04402i | ||||
\(847\) | −9.28624 | − | 5.36141i | −0.319079 | − | 0.184220i | ||||
\(848\) | −19.0623 | − | 25.4079i | −0.654602 | − | 0.872510i | ||||
\(849\) | −12.4968 | − | 5.33474i | −0.428889 | − | 0.183088i | ||||
\(850\) | −0.464750 | − | 0.569438i | −0.0159408 | − | 0.0195316i | ||||
\(851\) | 1.85725 | + | 3.21685i | 0.0636657 | + | 0.110272i | ||||
\(852\) | 7.38655 | + | 5.11040i | 0.253059 | + | 0.175080i | ||||
\(853\) | 24.3109 | 0.832389 | 0.416195 | − | 0.909276i | \(-0.363363\pi\) | ||||
0.416195 | + | 0.909276i | \(0.363363\pi\) | |||||||
\(854\) | −3.36471 | + | 8.86687i | −0.115138 | + | 0.303418i | ||||
\(855\) | −5.23510 | − | 5.46563i | −0.179037 | − | 0.186921i | ||||
\(856\) | −22.2993 | − | 0.911485i | −0.762175 | − | 0.0311539i | ||||
\(857\) | − | 6.46928i | − | 0.220986i | −0.993877 | − | 0.110493i | \(-0.964757\pi\) | ||
0.993877 | − | 0.110493i | \(-0.0352430\pi\) | |||||||
\(858\) | 11.1472 | − | 33.7925i | 0.380558 | − | 1.15366i | ||||
\(859\) | − | 37.0731i | − | 1.26492i | −0.774594 | − | 0.632459i | \(-0.782046\pi\) | ||
0.774594 | − | 0.632459i | \(-0.217954\pi\) | |||||||
\(860\) | −25.2735 | − | 22.4077i | −0.861819 | − | 0.764095i | ||||
\(861\) | 21.1044 | − | 2.54753i | 0.719237 | − | 0.0868196i | ||||
\(862\) | 18.1266 | + | 6.87848i | 0.617394 | + | 0.234282i | ||||
\(863\) | 2.64085 | 0.0898956 | 0.0449478 | − | 0.998989i | \(-0.485688\pi\) | ||||
0.0449478 | + | 0.998989i | \(0.485688\pi\) | |||||||
\(864\) | 27.0064 | + | 11.6042i | 0.918775 | + | 0.394782i | ||||
\(865\) | −2.77694 | − | 4.80980i | −0.0944187 | − | 0.163538i | ||||
\(866\) | 2.01915 | − | 1.64794i | 0.0686134 | − | 0.0559992i | ||||
\(867\) | 11.5558 | − | 27.0699i | 0.392457 | − | 0.919343i | ||||
\(868\) | −25.6367 | − | 22.7297i | −0.870166 | − | 0.771496i | ||||
\(869\) | 21.2357 | + | 12.2604i | 0.720371 | + | 0.415906i | ||||
\(870\) | −4.14709 | − | 1.02609i | −0.140600 | − | 0.0347879i | ||||
\(871\) | −19.1930 | + | 28.0738i | −0.650330 | + | 0.951244i | ||||
\(872\) | −19.8669 | − | 37.9061i | −0.672777 | − | 1.28366i | ||||
\(873\) | 31.5749 | + | 32.9654i | 1.06865 | + | 1.11571i | ||||
\(874\) | −0.369366 | + | 0.0599550i | −0.0124940 | + | 0.00202801i | ||||
\(875\) | −4.68671 | − | 8.11762i | −0.158440 | − | 0.274426i | ||||
\(876\) | 37.3639 | − | 17.6798i | 1.26241 | − | 0.597344i | ||||
\(877\) | 3.81936 | + | 6.61532i | 0.128971 | + | 0.223384i | 0.923278 | − | 0.384132i | \(-0.125499\pi\) |
−0.794307 | + | 0.607516i | \(0.792166\pi\) | |||||||
\(878\) | −6.58151 | + | 17.3440i | −0.222115 | + | 0.585331i | ||||
\(879\) | −6.66259 | + | 4.99931i | −0.224724 | + | 0.168622i | ||||
\(880\) | −53.9218 | + | 6.50531i | −1.81770 | + | 0.219294i | ||||
\(881\) | 27.1423 | + | 15.6706i | 0.914446 | + | 0.527955i | 0.881859 | − | 0.471513i | \(-0.156292\pi\) |
0.0325868 | + | 0.999469i | \(0.489625\pi\) | |||||||
\(882\) | 11.7972 | + | 1.45153i | 0.397234 | + | 0.0488755i | ||||
\(883\) | 29.9571i | 1.00814i | 0.863664 | + | 0.504068i | \(0.168164\pi\) | ||||
−0.863664 | + | 0.504068i | \(0.831836\pi\) | |||||||
\(884\) | 0.410116 | + | 0.423494i | 0.0137937 | + | 0.0142436i | ||||
\(885\) | −37.9500 | + | 28.4760i | −1.27568 | + | 0.957209i | ||||
\(886\) | −4.51635 | − | 27.8240i | −0.151730 | − | 0.934764i | ||||
\(887\) | 16.6857 | − | 28.9005i | 0.560250 | − | 0.970382i | −0.437224 | − | 0.899353i | \(-0.644038\pi\) |
0.997474 | − | 0.0710295i | \(-0.0226284\pi\) | |||||||
\(888\) | −51.3203 | + | 4.07707i | −1.72220 | + | 0.136818i | ||||
\(889\) | −18.9626 | −0.635985 | ||||||||
\(890\) | 34.9209 | + | 13.2514i | 1.17055 | + | 0.444188i | ||||
\(891\) | −1.56169 | + | 36.2278i | −0.0523184 | + | 1.21368i | ||||
\(892\) | −18.5191 | − | 3.78811i | −0.620067 | − | 0.126835i | ||||
\(893\) | −5.04028 | + | 2.91001i | −0.168667 | + | 0.0973797i | ||||
\(894\) | 35.7953 | + | 34.4434i | 1.19717 | + | 1.15196i | ||||
\(895\) | −39.8780 | − | 23.0236i | −1.33298 | − | 0.769594i | ||||
\(896\) | 23.1091 | − | 1.83433i | 0.772020 | − | 0.0612806i | ||||
\(897\) | 1.95842 | + | 1.01845i | 0.0653898 | + | 0.0340050i | ||||
\(898\) | −6.18710 | − | 7.58079i | −0.206466 | − | 0.252974i | ||||
\(899\) | −2.16342 | + | 3.74715i | −0.0721541 | + | 0.124975i | ||||
\(900\) | 32.2758 | − | 20.3294i | 1.07586 | − | 0.677646i | ||||
\(901\) | 0.324596 | + | 0.562216i | 0.0108139 | + | 0.0187301i | ||||
\(902\) | −21.5800 | − | 26.4410i | −0.718534 | − | 0.880389i | ||||
\(903\) | −6.98248 | + | 16.3567i | −0.232363 | + | 0.544317i | ||||
\(904\) | −17.7896 | − | 11.2638i | −0.591673 | − | 0.374628i | ||||
\(905\) | − | 19.4923i | − | 0.647947i | ||||||
\(906\) | 23.0783 | − | 6.66237i | 0.766724 | − | 0.221342i | ||||
\(907\) | 6.91076 | + | 3.98993i | 0.229468 | + | 0.132483i | 0.610327 | − | 0.792150i | \(-0.291038\pi\) |
−0.380859 | + | 0.924633i | \(0.624372\pi\) | |||||||
\(908\) | −5.49309 | − | 4.87021i | −0.182294 | − | 0.161624i | ||||
\(909\) | 11.6751 | + | 3.39948i | 0.387239 | + | 0.112754i | ||||
\(910\) | 20.1256 | + | 28.8915i | 0.667158 | + | 0.957743i | ||||
\(911\) | −36.6889 | −1.21556 | −0.607779 | − | 0.794106i | \(-0.707940\pi\) | ||||
−0.607779 | + | 0.794106i | \(0.707940\pi\) | |||||||
\(912\) | 1.45023 | − | 4.97942i | 0.0480221 | − | 0.164885i | ||||
\(913\) | −2.32235 | + | 4.02243i | −0.0768587 | + | 0.133123i | ||||
\(914\) | −20.6193 | − | 7.82438i | −0.682024 | − | 0.258807i | ||||
\(915\) | −15.2807 | + | 11.4659i | −0.505164 | + | 0.379052i | ||||
\(916\) | 2.84277 | − | 0.947844i | 0.0939277 | − | 0.0313176i | ||||
\(917\) | 30.1823 | − | 17.4258i | 0.996709 | − | 0.575450i | ||||
\(918\) | −0.519580 | − | 0.301572i | −0.0171487 | − | 0.00995335i | ||||
\(919\) | 19.9895 | − | 11.5409i | 0.659391 | − | 0.380700i | −0.132654 | − | 0.991162i | \(-0.542350\pi\) |
0.792045 | + | 0.610463i | \(0.209016\pi\) | |||||||
\(920\) | 0.137604 | − | 3.36646i | 0.00453667 | − | 0.110989i | ||||
\(921\) | 2.64289 | + | 21.8944i | 0.0870862 | + | 0.721446i | ||||
\(922\) | −25.2692 | − | 30.9612i | −0.832196 | − | 1.01965i | ||||
\(923\) | −8.42818 | + | 4.04553i | −0.277417 | + | 0.133160i | ||||
\(924\) | 12.2317 | + | 25.8501i | 0.402393 | + | 0.850405i | ||||
\(925\) | −33.4042 | + | 57.8578i | −1.09832 | + | 1.90235i | ||||
\(926\) | 26.8960 | − | 4.36573i | 0.883858 | − | 0.143467i | ||||
\(927\) | −4.79337 | − | 19.5655i | −0.157435 | − | 0.642615i | ||||
\(928\) | −0.811800 | − | 2.81275i | −0.0266486 | − | 0.0923331i | ||||
\(929\) | −19.4442 | + | 11.2261i | −0.637943 | + | 0.368317i | −0.783822 | − | 0.620986i | \(-0.786732\pi\) |
0.145879 | + | 0.989302i | \(0.453399\pi\) | |||||||
\(930\) | −19.1425 | − | 66.3092i | −0.627708 | − | 2.17436i | ||||
\(931\) | − | 2.09722i | − | 0.0687338i | ||||||
\(932\) | −1.05180 | − | 3.15454i | −0.0344528 | − | 0.103331i | ||||
\(933\) | −14.6231 | + | 1.76517i | −0.478740 | + | 0.0577891i | ||||
\(934\) | 1.54282 | + | 9.50490i | 0.0504828 | + | 0.311010i | ||||
\(935\) | 1.11005 | 0.0363026 | ||||||||
\(936\) | −24.4123 | + | 18.4402i | −0.797939 | + | 0.602738i | ||||
\(937\) | −48.9842 | −1.60025 | −0.800123 | − | 0.599836i | \(-0.795232\pi\) | ||||
−0.800123 | + | 0.599836i | \(0.795232\pi\) | |||||||
\(938\) | −4.37906 | − | 26.9781i | −0.142981 | − | 0.880867i | ||||
\(939\) | −7.87642 | + | 0.950769i | −0.257037 | + | 0.0310272i | ||||
\(940\) | −16.5753 | − | 49.7125i | −0.540626 | − | 1.62144i | ||||
\(941\) | 7.22392i | 0.235493i | 0.993044 | + | 0.117746i | \(0.0375670\pi\) | ||||
−0.993044 | + | 0.117746i | \(0.962433\pi\) | |||||||
\(942\) | 0.817630 | + | 2.83225i | 0.0266398 | + | 0.0922795i | ||||
\(943\) | 1.83355 | − | 1.05860i | 0.0597087 | − | 0.0344729i | ||||
\(944\) | −29.9014 | − | 12.7669i | −0.973207 | − | 0.415527i | ||||
\(945\) | −27.7457 | − | 22.7511i | −0.902569 | − | 0.740094i | ||||
\(946\) | 28.1848 | − | 4.57493i | 0.916367 | − | 0.148744i | ||||
\(947\) | 17.8045 | − | 30.8383i | 0.578569 | − | 1.00211i | −0.417075 | − | 0.908872i | \(-0.636945\pi\) |
0.995644 | − | 0.0932381i | \(-0.0297218\pi\) | |||||||
\(948\) | −9.01728 | − | 19.0569i | −0.292868 | − | 0.618938i | ||||
\(949\) | −3.26998 | + | 42.8990i | −0.106148 | + | 1.39256i | ||||
\(950\) | −4.25554 | − | 5.21414i | −0.138068 | − | 0.169169i | ||||
\(951\) | −1.83929 | − | 15.2372i | −0.0596432 | − | 0.494100i | ||||
\(952\) | −0.473398 | − | 0.0193501i | −0.0153429 | − | 0.000627142i | ||||
\(953\) | 30.1014 | − | 17.3790i | 0.975079 | − | 0.562962i | 0.0742979 | − | 0.997236i | \(-0.476328\pi\) |
0.900781 | + | 0.434274i | \(0.142995\pi\) | |||||||
\(954\) | −31.0156 | + | 13.1561i | −1.00417 | + | 0.425945i | ||||
\(955\) | 18.5792 | − | 10.7267i | 0.601210 | − | 0.347109i | ||||
\(956\) | −13.7816 | + | 4.59510i | −0.445729 | + | 0.148616i | ||||
\(957\) | 2.88874 | − | 2.16758i | 0.0933799 | − | 0.0700680i | ||||
\(958\) | 35.2927 | + | 13.3925i | 1.14025 | + | 0.432692i | ||||
\(959\) | 2.89570 | − | 5.01550i | 0.0935071 | − | 0.161959i | ||||
\(960\) | 41.3080 | + | 21.7778i | 1.33321 | + | 0.702875i | ||||
\(961\) | −38.9005 | −1.25486 | ||||||||
\(962\) | 22.7635 | − | 48.5086i | 0.733926 | − | 1.56398i | ||||
\(963\) | −6.61776 | + | 22.7279i | −0.213254 | + | 0.732396i | ||||
\(964\) | −7.36246 | − | 6.52761i | −0.237129 | − | 0.210240i | ||||
\(965\) | 1.03541 | + | 0.597794i | 0.0333310 | + | 0.0192437i | ||||
\(966\) | −1.70446 | + | 0.492053i | −0.0548400 | + | 0.0158315i | ||||
\(967\) | − | 31.7004i | − | 1.01942i | −0.860347 | − | 0.509708i | \(-0.829753\pi\) | ||
0.860347 | − | 0.509708i | \(-0.170247\pi\) | |||||||
\(968\) | 7.91822 | − | 12.5057i | 0.254501 | − | 0.401949i | ||||
\(969\) | −0.0416163 | + | 0.0974874i | −0.00133691 | + | 0.00313175i | ||||
\(970\) | 45.8534 | + | 56.1822i | 1.47226 | + | 1.80390i | ||||
\(971\) | −8.28436 | − | 14.3489i | −0.265858 | − | 0.460479i | 0.701930 | − | 0.712246i | \(-0.252322\pi\) |
−0.967788 | + | 0.251766i | \(0.918989\pi\) | |||||||
\(972\) | 18.8261 | − | 24.8511i | 0.603846 | − | 0.797101i | ||||
\(973\) | −12.4173 | + | 21.5074i | −0.398080 | + | 0.689495i | ||||
\(974\) | −1.47954 | − | 1.81281i | −0.0474074 | − | 0.0580863i | ||||
\(975\) | 1.74837 | + | 39.6636i | 0.0559928 | + | 1.27025i | ||||
\(976\) | −12.0399 | − | 5.14063i | −0.385387 | − | 0.164548i | ||||
\(977\) | 5.70027 | + | 3.29105i | 0.182368 | + | 0.105290i | 0.588405 | − | 0.808567i | \(-0.299756\pi\) |
−0.406037 | + | 0.913857i | \(0.633090\pi\) | |||||||
\(978\) | 18.9208 | + | 18.2062i | 0.605022 | + | 0.582171i | ||||
\(979\) | −27.3448 | + | 15.7875i | −0.873944 | + | 0.504572i | ||||
\(980\) | 18.5002 | + | 3.78424i | 0.590967 | + | 0.120883i | ||||
\(981\) | −44.0890 | + | 10.8014i | −1.40765 | + | 0.344863i | ||||
\(982\) | −39.5026 | − | 14.9900i | −1.26058 | − | 0.478351i | ||||
\(983\) | −30.4477 | −0.971132 | −0.485566 | − | 0.874200i | \(-0.661386\pi\) | ||||
−0.485566 | + | 0.874200i | \(0.661386\pi\) | |||||||
\(984\) | 2.32387 | + | 29.2518i | 0.0740822 | + | 0.932512i | ||||
\(985\) | 17.0571 | − | 29.5437i | 0.543484 | − | 0.941342i | ||||
\(986\) | 0.00958670 | + | 0.0590609i | 0.000305303 | + | 0.00188088i | ||||
\(987\) | −22.0701 | + | 16.5604i | −0.702499 | + | 0.527124i | ||||
\(988\) | 3.75528 | + | 3.87778i | 0.119471 | + | 0.123368i | ||||
\(989\) | 1.77131i | 0.0563245i | ||||||||
\(990\) | −7.03494 | + | 57.1762i | −0.223585 | + | 1.81718i | ||||
\(991\) | −47.6974 | − | 27.5381i | −1.51516 | − | 0.874776i | −0.999842 | − | 0.0177752i | \(-0.994342\pi\) |
−0.515315 | − | 0.857001i | \(-0.672325\pi\) | |||||||
\(992\) | 32.7951 | − | 34.0778i | 1.04125 | − | 1.08197i | ||||
\(993\) | 18.1268 | − | 13.6016i | 0.575238 | − | 0.431633i | ||||
\(994\) | 2.66567 | − | 7.02473i | 0.0845499 | − | 0.222811i | ||||
\(995\) | −7.08000 | − | 12.2629i | −0.224451 | − | 0.388760i | ||||
\(996\) | 3.60973 | − | 1.70804i | 0.114379 | − | 0.0541214i | ||||
\(997\) | −2.15715 | − | 3.73629i | −0.0683176 | − | 0.118330i | 0.829843 | − | 0.557997i | \(-0.188430\pi\) |
−0.898161 | + | 0.439667i | \(0.855096\pi\) | |||||||
\(998\) | −54.5862 | + | 8.86037i | −1.72790 | + | 0.280470i | ||||
\(999\) | −8.87257 | + | 53.8792i | −0.280716 | + | 1.70466i |
(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 | 156.2.p.b.35.10 | yes | 40 | |
3.2 | odd | 2 | inner | 156.2.p.b.35.11 | yes | 40 | |
4.3 | odd | 2 | inner | 156.2.p.b.35.4 | ✓ | 40 | |
12.11 | even | 2 | inner | 156.2.p.b.35.17 | yes | 40 | |
13.3 | even | 3 | inner | 156.2.p.b.107.17 | yes | 40 | |
39.29 | odd | 6 | inner | 156.2.p.b.107.4 | yes | 40 | |
52.3 | odd | 6 | inner | 156.2.p.b.107.11 | yes | 40 | |
156.107 | even | 6 | inner | 156.2.p.b.107.10 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
156.2.p.b.35.4 | ✓ | 40 | 4.3 | odd | 2 | inner | |
156.2.p.b.35.10 | yes | 40 | 1.1 | even | 1 | trivial | |
156.2.p.b.35.11 | yes | 40 | 3.2 | odd | 2 | inner | |
156.2.p.b.35.17 | yes | 40 | 12.11 | even | 2 | inner | |
156.2.p.b.107.4 | yes | 40 | 39.29 | odd | 6 | inner | |
156.2.p.b.107.10 | yes | 40 | 156.107 | even | 6 | inner | |
156.2.p.b.107.11 | yes | 40 | 52.3 | odd | 6 | inner | |
156.2.p.b.107.17 | yes | 40 | 13.3 | even | 3 | inner |