Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(625,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.625");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.r (of order \(3\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 625.19 | ||
Character | \(\chi\) | \(=\) | 819.625 |
Dual form | 819.2.r.a.781.19 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.919929 | −0.650488 | −0.325244 | − | 0.945630i | \(-0.605446\pi\) | ||||
−0.325244 | + | 0.945630i | \(0.605446\pi\) | |||||||
\(3\) | −1.24150 | + | 1.20776i | −0.716779 | + | 0.697300i | ||||
\(4\) | −1.15373 | −0.576866 | ||||||||
\(5\) | −1.17586 | − | 2.03665i | −0.525861 | − | 0.910817i | −0.999546 | − | 0.0301233i | \(-0.990410\pi\) |
0.473686 | − | 0.880694i | \(-0.342923\pi\) | |||||||
\(6\) | 1.14209 | − | 1.11105i | 0.466256 | − | 0.453585i | ||||
\(7\) | −0.707790 | − | 2.54932i | −0.267520 | − | 0.963552i | ||||
\(8\) | 2.90121 | 1.02573 | ||||||||
\(9\) | 0.0826321 | − | 2.99886i | 0.0275440 | − | 0.999621i | ||||
\(10\) | 1.08171 | + | 1.87357i | 0.342066 | + | 0.592475i | ||||
\(11\) | −0.445310 | + | 0.771300i | −0.134266 | + | 0.232556i | −0.925317 | − | 0.379195i | \(-0.876201\pi\) |
0.791051 | + | 0.611751i | \(0.209534\pi\) | |||||||
\(12\) | 1.43235 | − | 1.39343i | 0.413485 | − | 0.402249i | ||||
\(13\) | 0.500000 | − | 0.866025i | 0.138675 | − | 0.240192i | ||||
\(14\) | 0.651117 | + | 2.34519i | 0.174018 | + | 0.626779i | ||||
\(15\) | 3.91961 | + | 1.10834i | 1.01204 | + | 0.286172i | ||||
\(16\) | −0.361441 | −0.0903603 | ||||||||
\(17\) | −2.19130 | − | 3.79544i | −0.531467 | − | 0.920528i | −0.999325 | − | 0.0367249i | \(-0.988307\pi\) |
0.467858 | − | 0.883804i | \(-0.345026\pi\) | |||||||
\(18\) | −0.0760156 | + | 2.75874i | −0.0179171 | + | 0.650241i | ||||
\(19\) | −0.779295 | + | 1.34978i | −0.178783 | + | 0.309661i | −0.941464 | − | 0.337114i | \(-0.890549\pi\) |
0.762681 | + | 0.646775i | \(0.223883\pi\) | |||||||
\(20\) | 1.35663 | + | 2.34975i | 0.303351 | + | 0.525419i | ||||
\(21\) | 3.95769 | + | 2.31013i | 0.863638 | + | 0.504112i | ||||
\(22\) | 0.409654 | − | 0.709541i | 0.0873385 | − | 0.151275i | ||||
\(23\) | 2.75776 | + | 4.77658i | 0.575032 | + | 0.995985i | 0.996038 | + | 0.0889274i | \(0.0283439\pi\) |
−0.421006 | + | 0.907058i | \(0.638323\pi\) | |||||||
\(24\) | −3.60184 | + | 3.50396i | −0.735223 | + | 0.715243i | ||||
\(25\) | −0.265294 | + | 0.459503i | −0.0530588 | + | 0.0919005i | ||||
\(26\) | −0.459964 | + | 0.796682i | −0.0902064 | + | 0.156242i | ||||
\(27\) | 3.51932 | + | 3.82288i | 0.677293 | + | 0.735713i | ||||
\(28\) | 0.816600 | + | 2.94123i | 0.154323 | + | 0.555840i | ||||
\(29\) | −5.11053 | − | 8.85169i | −0.949001 | − | 1.64372i | −0.747535 | − | 0.664222i | \(-0.768763\pi\) |
−0.201466 | − | 0.979496i | \(-0.564571\pi\) | |||||||
\(30\) | −3.60576 | − | 1.01959i | −0.658319 | − | 0.186151i | ||||
\(31\) | 4.02208 | 0.722387 | 0.361193 | − | 0.932491i | \(-0.382369\pi\) | ||||
0.361193 | + | 0.932491i | \(0.382369\pi\) | |||||||
\(32\) | −5.46992 | −0.966954 | ||||||||
\(33\) | −0.378694 | − | 1.49540i | −0.0659221 | − | 0.260315i | ||||
\(34\) | 2.01584 | + | 3.49153i | 0.345713 | + | 0.598793i | ||||
\(35\) | −4.35981 | + | 4.43916i | −0.736942 | + | 0.750356i | ||||
\(36\) | −0.0953353 | + | 3.45988i | −0.0158892 | + | 0.576647i | ||||
\(37\) | 0.764675 | − | 1.32446i | 0.125712 | − | 0.217739i | −0.796299 | − | 0.604903i | \(-0.793212\pi\) |
0.922011 | + | 0.387164i | \(0.126545\pi\) | |||||||
\(38\) | 0.716896 | − | 1.24170i | 0.116296 | − | 0.201430i | ||||
\(39\) | 0.425202 | + | 1.67905i | 0.0680868 | + | 0.268863i | ||||
\(40\) | −3.41141 | − | 5.90874i | −0.539392 | − | 0.934254i | ||||
\(41\) | −4.06327 | + | 7.03779i | −0.634576 | + | 1.09912i | 0.352029 | + | 0.935989i | \(0.385492\pi\) |
−0.986605 | + | 0.163129i | \(0.947841\pi\) | |||||||
\(42\) | −3.64079 | − | 2.12516i | −0.561786 | − | 0.327919i | ||||
\(43\) | 1.78818 | + | 3.09722i | 0.272695 | + | 0.472321i | 0.969551 | − | 0.244890i | \(-0.0787518\pi\) |
−0.696856 | + | 0.717211i | \(0.745418\pi\) | |||||||
\(44\) | 0.513768 | − | 0.889873i | 0.0774535 | − | 0.134153i | ||||
\(45\) | −6.20479 | + | 3.35795i | −0.924956 | + | 0.500574i | ||||
\(46\) | −2.53694 | − | 4.39411i | −0.374052 | − | 0.647876i | ||||
\(47\) | −11.4336 | −1.66777 | −0.833883 | − | 0.551941i | \(-0.813887\pi\) | ||||
−0.833883 | + | 0.551941i | \(0.813887\pi\) | |||||||
\(48\) | 0.448728 | − | 0.436534i | 0.0647683 | − | 0.0630083i | ||||
\(49\) | −5.99807 | + | 3.60877i | −0.856867 | + | 0.515538i | ||||
\(50\) | 0.244051 | − | 0.422710i | 0.0345141 | − | 0.0597802i | ||||
\(51\) | 7.30446 | + | 2.06547i | 1.02283 | + | 0.289223i | ||||
\(52\) | −0.576866 | + | 0.999161i | −0.0799969 | + | 0.138559i | ||||
\(53\) | 2.34007 | + | 4.05312i | 0.321433 | + | 0.556739i | 0.980784 | − | 0.195097i | \(-0.0625021\pi\) |
−0.659351 | + | 0.751835i | \(0.729169\pi\) | |||||||
\(54\) | −3.23752 | − | 3.51678i | −0.440571 | − | 0.478573i | ||||
\(55\) | 2.09449 | 0.282421 | ||||||||
\(56\) | −2.05345 | − | 7.39611i | −0.274403 | − | 0.988346i | ||||
\(57\) | −0.662716 | − | 2.61695i | −0.0877789 | − | 0.346623i | ||||
\(58\) | 4.70132 | + | 8.14292i | 0.617313 | + | 1.06922i | ||||
\(59\) | −8.55287 | −1.11349 | −0.556744 | − | 0.830684i | \(-0.687950\pi\) | ||||
−0.556744 | + | 0.830684i | \(0.687950\pi\) | |||||||
\(60\) | −4.52218 | − | 1.27872i | −0.583811 | − | 0.165083i | ||||
\(61\) | −0.502618 | −0.0643536 | −0.0321768 | − | 0.999482i | \(-0.510244\pi\) | ||||
−0.0321768 | + | 0.999482i | \(0.510244\pi\) | |||||||
\(62\) | −3.70002 | −0.469904 | ||||||||
\(63\) | −7.70354 | + | 1.91191i | −0.970555 | + | 0.240878i | ||||
\(64\) | 5.75481 | 0.719352 | ||||||||
\(65\) | −2.35172 | −0.291695 | ||||||||
\(66\) | 0.348371 | + | 1.37566i | 0.0428815 | + | 0.169332i | ||||
\(67\) | −5.53222 | −0.675868 | −0.337934 | − | 0.941170i | \(-0.609728\pi\) | ||||
−0.337934 | + | 0.941170i | \(0.609728\pi\) | |||||||
\(68\) | 2.52817 | + | 4.37891i | 0.306585 | + | 0.531021i | ||||
\(69\) | −9.19271 | − | 2.59940i | −1.10667 | − | 0.312931i | ||||
\(70\) | 4.01071 | − | 4.08371i | 0.479372 | − | 0.488097i | ||||
\(71\) | 1.96645 | 0.233375 | 0.116687 | − | 0.993169i | \(-0.462772\pi\) | ||||
0.116687 | + | 0.993169i | \(0.462772\pi\) | |||||||
\(72\) | 0.239733 | − | 8.70032i | 0.0282528 | − | 1.02534i | ||||
\(73\) | −2.12101 | − | 3.67370i | −0.248246 | − | 0.429974i | 0.714794 | − | 0.699336i | \(-0.246521\pi\) |
−0.963039 | + | 0.269362i | \(0.913187\pi\) | |||||||
\(74\) | −0.703447 | + | 1.21841i | −0.0817740 | + | 0.141637i | ||||
\(75\) | −0.225607 | − | 0.890883i | −0.0260509 | − | 0.102870i | ||||
\(76\) | 0.899097 | − | 1.55728i | 0.103134 | − | 0.178633i | ||||
\(77\) | 2.28148 | + | 0.589320i | 0.259998 | + | 0.0671592i | ||||
\(78\) | −0.391155 | − | 1.54460i | −0.0442896 | − | 0.174892i | ||||
\(79\) | 1.68564 | 0.189649 | 0.0948245 | − | 0.995494i | \(-0.469771\pi\) | ||||
0.0948245 | + | 0.995494i | \(0.469771\pi\) | |||||||
\(80\) | 0.425004 | + | 0.736129i | 0.0475169 | + | 0.0823017i | ||||
\(81\) | −8.98634 | − | 0.495605i | −0.998483 | − | 0.0550672i | ||||
\(82\) | 3.73792 | − | 6.47426i | 0.412784 | − | 0.714963i | ||||
\(83\) | −7.20538 | − | 12.4801i | −0.790893 | − | 1.36987i | −0.925415 | − | 0.378956i | \(-0.876283\pi\) |
0.134521 | − | 0.990911i | \(-0.457050\pi\) | |||||||
\(84\) | −4.56611 | − | 2.66527i | −0.498203 | − | 0.290805i | ||||
\(85\) | −5.15332 | + | 8.92580i | −0.558956 | + | 0.968139i | ||||
\(86\) | −1.64500 | − | 2.84922i | −0.177385 | − | 0.307239i | ||||
\(87\) | 17.0354 | + | 4.81706i | 1.82639 | + | 0.516443i | ||||
\(88\) | −1.29194 | + | 2.23770i | −0.137721 | + | 0.238540i | ||||
\(89\) | −1.05501 | + | 1.82733i | −0.111831 | + | 0.193697i | −0.916508 | − | 0.400015i | \(-0.869005\pi\) |
0.804678 | + | 0.593712i | \(0.202338\pi\) | |||||||
\(90\) | 5.70797 | − | 3.08907i | 0.601673 | − | 0.325617i | ||||
\(91\) | −2.56167 | − | 0.661696i | −0.268536 | − | 0.0693645i | ||||
\(92\) | −3.18171 | − | 5.51089i | −0.331717 | − | 0.574550i | ||||
\(93\) | −4.99340 | + | 4.85770i | −0.517791 | + | 0.503720i | ||||
\(94\) | 10.5181 | 1.08486 | ||||||||
\(95\) | 3.66537 | 0.376059 | ||||||||
\(96\) | 6.79089 | − | 6.60634i | 0.693092 | − | 0.674257i | ||||
\(97\) | 8.73516 | + | 15.1297i | 0.886922 | + | 1.53619i | 0.843495 | + | 0.537137i | \(0.180494\pi\) |
0.0434264 | + | 0.999057i | \(0.486173\pi\) | |||||||
\(98\) | 5.51779 | − | 3.31981i | 0.557381 | − | 0.335351i | ||||
\(99\) | 2.27623 | + | 1.39916i | 0.228769 | + | 0.140621i | ||||
\(100\) | 0.306078 | − | 0.530143i | 0.0306078 | − | 0.0530143i | ||||
\(101\) | −0.653537 | + | 1.13196i | −0.0650293 | + | 0.112634i | −0.896707 | − | 0.442625i | \(-0.854047\pi\) |
0.831678 | + | 0.555259i | \(0.187381\pi\) | |||||||
\(102\) | −6.71959 | − | 1.90008i | −0.665338 | − | 0.188136i | ||||
\(103\) | 8.08413 | + | 14.0021i | 0.796553 | + | 1.37967i | 0.921848 | + | 0.387551i | \(0.126679\pi\) |
−0.125295 | + | 0.992119i | \(0.539988\pi\) | |||||||
\(104\) | 1.45060 | − | 2.51252i | 0.142243 | − | 0.246373i | ||||
\(105\) | 0.0512468 | − | 10.7768i | 0.00500117 | − | 1.05171i | ||||
\(106\) | −2.15270 | − | 3.72858i | −0.209088 | − | 0.362152i | ||||
\(107\) | −7.76899 | + | 13.4563i | −0.751057 | + | 1.30087i | 0.196254 | + | 0.980553i | \(0.437122\pi\) |
−0.947311 | + | 0.320315i | \(0.896211\pi\) | |||||||
\(108\) | −4.06035 | − | 4.41058i | −0.390707 | − | 0.424408i | ||||
\(109\) | 6.35039 | + | 10.9992i | 0.608257 | + | 1.05353i | 0.991528 | + | 0.129896i | \(0.0414645\pi\) |
−0.383270 | + | 0.923636i | \(0.625202\pi\) | |||||||
\(110\) | −1.92678 | −0.183711 | ||||||||
\(111\) | 0.650283 | + | 2.56785i | 0.0617221 | + | 0.243730i | ||||
\(112\) | 0.255824 | + | 0.921429i | 0.0241731 | + | 0.0870668i | ||||
\(113\) | 0.422841 | − | 0.732382i | 0.0397775 | − | 0.0688967i | −0.845451 | − | 0.534053i | \(-0.820668\pi\) |
0.885229 | + | 0.465156i | \(0.154002\pi\) | |||||||
\(114\) | 0.609651 | + | 2.40741i | 0.0570991 | + | 0.225474i | ||||
\(115\) | 6.48548 | − | 11.2332i | 0.604774 | − | 1.04750i | ||||
\(116\) | 5.89618 | + | 10.2125i | 0.547446 | + | 0.948204i | ||||
\(117\) | −2.55577 | − | 1.57099i | −0.236281 | − | 0.145238i | ||||
\(118\) | 7.86803 | 0.724311 | ||||||||
\(119\) | −8.12480 | + | 8.27269i | −0.744800 | + | 0.758356i | ||||
\(120\) | 11.3716 | + | 3.21552i | 1.03808 | + | 0.293535i | ||||
\(121\) | 5.10340 | + | 8.83934i | 0.463945 | + | 0.803577i | ||||
\(122\) | 0.462373 | 0.0418612 | ||||||||
\(123\) | −3.45542 | − | 13.6449i | −0.311565 | − | 1.23031i | ||||
\(124\) | −4.64040 | −0.416720 | ||||||||
\(125\) | −10.5108 | −0.940115 | ||||||||
\(126\) | 7.08671 | − | 1.75882i | 0.631334 | − | 0.156688i | ||||
\(127\) | 16.0121 | 1.42085 | 0.710424 | − | 0.703774i | \(-0.248503\pi\) | ||||
0.710424 | + | 0.703774i | \(0.248503\pi\) | |||||||
\(128\) | 5.64581 | 0.499024 | ||||||||
\(129\) | −5.96071 | − | 1.68550i | −0.524811 | − | 0.148400i | ||||
\(130\) | 2.16341 | 0.189744 | ||||||||
\(131\) | 1.70539 | + | 2.95383i | 0.149001 | + | 0.258077i | 0.930858 | − | 0.365380i | \(-0.119061\pi\) |
−0.781858 | + | 0.623457i | \(0.785728\pi\) | |||||||
\(132\) | 0.436911 | + | 1.72528i | 0.0380282 | + | 0.150167i | ||||
\(133\) | 3.99260 | + | 1.03131i | 0.346202 | + | 0.0894261i | ||||
\(134\) | 5.08925 | 0.439644 | ||||||||
\(135\) | 3.64764 | − | 11.6628i | 0.313939 | − | 1.00377i | ||||
\(136\) | −6.35741 | − | 11.0113i | −0.545143 | − | 0.944215i | ||||
\(137\) | 1.49365 | − | 2.58708i | 0.127611 | − | 0.221029i | −0.795139 | − | 0.606427i | \(-0.792602\pi\) |
0.922751 | + | 0.385397i | \(0.125936\pi\) | |||||||
\(138\) | 8.45664 | + | 2.39126i | 0.719877 | + | 0.203558i | ||||
\(139\) | 9.36789 | − | 16.2257i | 0.794574 | − | 1.37624i | −0.128535 | − | 0.991705i | \(-0.541027\pi\) |
0.923109 | − | 0.384538i | \(-0.125639\pi\) | |||||||
\(140\) | 5.03005 | − | 5.12160i | 0.425117 | − | 0.432855i | ||||
\(141\) | 14.1948 | − | 13.8091i | 1.19542 | − | 1.16293i | ||||
\(142\) | −1.80899 | −0.151807 | ||||||||
\(143\) | 0.445310 | + | 0.771300i | 0.0372387 | + | 0.0644994i | ||||
\(144\) | −0.0298666 | + | 1.08391i | −0.00248889 | + | 0.0903260i | ||||
\(145\) | −12.0185 | + | 20.8167i | −0.998084 | + | 1.72873i | ||||
\(146\) | 1.95118 | + | 3.37954i | 0.161481 | + | 0.279693i | ||||
\(147\) | 3.08806 | − | 11.7245i | 0.254699 | − | 0.967020i | ||||
\(148\) | −0.882230 | + | 1.52807i | −0.0725188 | + | 0.125606i | ||||
\(149\) | 5.53043 | + | 9.57898i | 0.453070 | + | 0.784741i | 0.998575 | − | 0.0533670i | \(-0.0169953\pi\) |
−0.545505 | + | 0.838108i | \(0.683662\pi\) | |||||||
\(150\) | 0.207542 | + | 0.819548i | 0.0169458 | + | 0.0669158i | ||||
\(151\) | 1.45712 | − | 2.52380i | 0.118579 | − | 0.205384i | −0.800626 | − | 0.599164i | \(-0.795500\pi\) |
0.919205 | + | 0.393780i | \(0.128833\pi\) | |||||||
\(152\) | −2.26090 | + | 3.91599i | −0.183383 | + | 0.317629i | ||||
\(153\) | −11.5631 | + | 6.25777i | −0.934818 | + | 0.505911i | ||||
\(154\) | −2.09880 | − | 0.542132i | −0.169126 | − | 0.0436862i | ||||
\(155\) | −4.72940 | − | 8.19156i | −0.379875 | − | 0.657962i | ||||
\(156\) | −0.490569 | − | 1.93717i | −0.0392769 | − | 0.155098i | ||||
\(157\) | −17.7381 | −1.41565 | −0.707827 | − | 0.706386i | \(-0.750324\pi\) | ||||
−0.707827 | + | 0.706386i | \(0.750324\pi\) | |||||||
\(158\) | −1.55067 | −0.123364 | ||||||||
\(159\) | −7.80038 | − | 2.20570i | −0.618611 | − | 0.174923i | ||||
\(160\) | 6.43186 | + | 11.1403i | 0.508483 | + | 0.880718i | ||||
\(161\) | 10.2251 | − | 10.4112i | 0.805852 | − | 0.820520i | ||||
\(162\) | 8.26679 | + | 0.455921i | 0.649501 | + | 0.0358205i | ||||
\(163\) | −7.43004 | + | 12.8692i | −0.581965 | + | 1.00799i | 0.413281 | + | 0.910604i | \(0.364383\pi\) |
−0.995246 | + | 0.0973901i | \(0.968951\pi\) | |||||||
\(164\) | 4.68792 | − | 8.11972i | 0.366065 | − | 0.634044i | ||||
\(165\) | −2.60030 | + | 2.52964i | −0.202433 | + | 0.196932i | ||||
\(166\) | 6.62843 | + | 11.4808i | 0.514466 | + | 0.891082i | ||||
\(167\) | −4.62937 | + | 8.01830i | −0.358231 | + | 0.620475i | −0.987665 | − | 0.156579i | \(-0.949953\pi\) |
0.629434 | + | 0.777054i | \(0.283287\pi\) | |||||||
\(168\) | 11.4821 | + | 6.70218i | 0.885861 | + | 0.517084i | ||||
\(169\) | −0.500000 | − | 0.866025i | −0.0384615 | − | 0.0666173i | ||||
\(170\) | 4.74068 | − | 8.21110i | 0.363594 | − | 0.629763i | ||||
\(171\) | 3.98341 | + | 2.44853i | 0.304619 | + | 0.187244i | ||||
\(172\) | −2.06308 | − | 3.57336i | −0.157308 | − | 0.272466i | ||||
\(173\) | 12.7396 | 0.968576 | 0.484288 | − | 0.874909i | \(-0.339079\pi\) | ||||
0.484288 | + | 0.874909i | \(0.339079\pi\) | |||||||
\(174\) | −15.6714 | − | 4.43136i | −1.18804 | − | 0.335940i | ||||
\(175\) | 1.35919 | + | 0.351088i | 0.102745 | + | 0.0265397i | ||||
\(176\) | 0.160953 | − | 0.278779i | 0.0121323 | − | 0.0210138i | ||||
\(177\) | 10.6184 | − | 10.3298i | 0.798125 | − | 0.776436i | ||||
\(178\) | 0.970533 | − | 1.68101i | 0.0727445 | − | 0.125997i | ||||
\(179\) | 6.42429 | + | 11.1272i | 0.480174 | + | 0.831685i | 0.999741 | − | 0.0227440i | \(-0.00724027\pi\) |
−0.519568 | + | 0.854429i | \(0.673907\pi\) | |||||||
\(180\) | 7.15867 | − | 3.87417i | 0.533575 | − | 0.288764i | ||||
\(181\) | −16.6257 | −1.23578 | −0.617889 | − | 0.786265i | \(-0.712012\pi\) | ||||
−0.617889 | + | 0.786265i | \(0.712012\pi\) | |||||||
\(182\) | 2.35655 | + | 0.608713i | 0.174679 | + | 0.0451208i | ||||
\(183\) | 0.623999 | − | 0.607042i | 0.0461273 | − | 0.0448738i | ||||
\(184\) | 8.00083 | + | 13.8578i | 0.589829 | + | 1.02161i | ||||
\(185\) | −3.59660 | −0.264428 | ||||||||
\(186\) | 4.59357 | − | 4.46874i | 0.336817 | − | 0.327664i | ||||
\(187\) | 3.90323 | 0.285432 | ||||||||
\(188\) | 13.1913 | 0.962077 | ||||||||
\(189\) | 7.25480 | − | 11.6777i | 0.527709 | − | 0.849425i | ||||
\(190\) | −3.37188 | −0.244622 | ||||||||
\(191\) | 6.44280 | 0.466184 | 0.233092 | − | 0.972455i | \(-0.425116\pi\) | ||||
0.233092 | + | 0.972455i | \(0.425116\pi\) | |||||||
\(192\) | −7.14459 | + | 6.95043i | −0.515616 | + | 0.501604i | ||||
\(193\) | −18.8240 | −1.35498 | −0.677491 | − | 0.735531i | \(-0.736933\pi\) | ||||
−0.677491 | + | 0.735531i | \(0.736933\pi\) | |||||||
\(194\) | −8.03573 | − | 13.9183i | −0.576932 | − | 0.999275i | ||||
\(195\) | 2.91965 | − | 2.84031i | 0.209081 | − | 0.203399i | ||||
\(196\) | 6.92016 | − | 4.16355i | 0.494297 | − | 0.297396i | ||||
\(197\) | −11.5353 | −0.821854 | −0.410927 | − | 0.911668i | \(-0.634795\pi\) | ||||
−0.410927 | + | 0.911668i | \(0.634795\pi\) | |||||||
\(198\) | −2.09396 | − | 1.28713i | −0.148812 | − | 0.0914720i | ||||
\(199\) | −6.73008 | − | 11.6568i | −0.477082 | − | 0.826331i | 0.522573 | − | 0.852595i | \(-0.324972\pi\) |
−0.999655 | + | 0.0262637i | \(0.991639\pi\) | |||||||
\(200\) | −0.769673 | + | 1.33311i | −0.0544241 | + | 0.0942653i | ||||
\(201\) | 6.86824 | − | 6.68160i | 0.484448 | − | 0.471283i | ||||
\(202\) | 0.601207 | − | 1.04132i | 0.0423008 | − | 0.0732671i | ||||
\(203\) | −18.9486 | + | 19.2935i | −1.32993 | + | 1.35414i | ||||
\(204\) | −8.42739 | − | 2.38299i | −0.590035 | − | 0.166843i | ||||
\(205\) | 19.1113 | 1.33479 | ||||||||
\(206\) | −7.43682 | − | 12.8810i | −0.518148 | − | 0.897459i | ||||
\(207\) | 14.5522 | − | 7.87544i | 1.01145 | − | 0.547381i | ||||
\(208\) | −0.180721 | + | 0.313017i | −0.0125307 | + | 0.0217038i | ||||
\(209\) | −0.694056 | − | 1.20214i | −0.0480089 | − | 0.0831538i | ||||
\(210\) | −0.0471434 | + | 9.91390i | −0.00325320 | + | 0.684124i | ||||
\(211\) | 9.86569 | − | 17.0879i | 0.679182 | − | 1.17638i | −0.296046 | − | 0.955174i | \(-0.595668\pi\) |
0.975228 | − | 0.221204i | \(-0.0709985\pi\) | |||||||
\(212\) | −2.69981 | − | 4.67621i | −0.185424 | − | 0.321163i | ||||
\(213\) | −2.44134 | + | 2.37500i | −0.167278 | + | 0.162732i | ||||
\(214\) | 7.14692 | − | 12.3788i | 0.488553 | − | 0.846199i | ||||
\(215\) | 4.20530 | − | 7.28378i | 0.286799 | − | 0.496750i | ||||
\(216\) | 10.2103 | + | 11.0910i | 0.694721 | + | 0.754645i | ||||
\(217\) | −2.84679 | − | 10.2536i | −0.193253 | − | 0.696057i | ||||
\(218\) | −5.84191 | − | 10.1185i | −0.395664 | − | 0.685310i | ||||
\(219\) | 7.07017 | + | 1.99922i | 0.477758 | + | 0.135094i | ||||
\(220\) | −2.41648 | −0.162919 | ||||||||
\(221\) | −4.38259 | −0.294805 | ||||||||
\(222\) | −0.598214 | − | 2.36224i | −0.0401495 | − | 0.158543i | ||||
\(223\) | 8.88991 | + | 15.3978i | 0.595312 | + | 1.03111i | 0.993503 | + | 0.113808i | \(0.0363050\pi\) |
−0.398190 | + | 0.917303i | \(0.630362\pi\) | |||||||
\(224\) | 3.87155 | + | 13.9446i | 0.258679 | + | 0.931710i | ||||
\(225\) | 1.35606 | + | 0.833549i | 0.0904042 | + | 0.0555700i | ||||
\(226\) | −0.388983 | + | 0.673739i | −0.0258748 | + | 0.0448165i | ||||
\(227\) | −4.24327 | + | 7.34955i | −0.281635 | + | 0.487807i | −0.971788 | − | 0.235857i | \(-0.924210\pi\) |
0.690152 | + | 0.723664i | \(0.257544\pi\) | |||||||
\(228\) | 0.764596 | + | 3.01926i | 0.0506366 | + | 0.199955i | ||||
\(229\) | −14.8011 | − | 25.6362i | −0.978082 | − | 1.69409i | −0.669366 | − | 0.742933i | \(-0.733434\pi\) |
−0.308715 | − | 0.951154i | \(-0.599899\pi\) | |||||||
\(230\) | −5.96618 | + | 10.3337i | −0.393398 | + | 0.681385i | ||||
\(231\) | −3.54420 | + | 2.02384i | −0.233192 | + | 0.133159i | ||||
\(232\) | −14.8267 | − | 25.6806i | −0.973420 | − | 1.68601i | ||||
\(233\) | −1.03609 | + | 1.79456i | −0.0678765 | + | 0.117566i | −0.897966 | − | 0.440064i | \(-0.854956\pi\) |
0.830090 | + | 0.557630i | \(0.188289\pi\) | |||||||
\(234\) | 2.35113 | + | 1.44520i | 0.153698 | + | 0.0944757i | ||||
\(235\) | 13.4444 | + | 23.2863i | 0.877013 | + | 1.51903i | ||||
\(236\) | 9.86771 | 0.642333 | ||||||||
\(237\) | −2.09271 | + | 2.03585i | −0.135936 | + | 0.132242i | ||||
\(238\) | 7.47424 | − | 7.61028i | 0.484483 | − | 0.493301i | ||||
\(239\) | 13.8948 | − | 24.0664i | 0.898777 | − | 1.55673i | 0.0697174 | − | 0.997567i | \(-0.477790\pi\) |
0.829059 | − | 0.559160i | \(-0.188876\pi\) | |||||||
\(240\) | −1.41671 | − | 0.400599i | −0.0914481 | − | 0.0258586i | ||||
\(241\) | −0.0439378 | + | 0.0761025i | −0.00283028 | + | 0.00490219i | −0.867437 | − | 0.497547i | \(-0.834234\pi\) |
0.864607 | + | 0.502449i | \(0.167568\pi\) | |||||||
\(242\) | −4.69476 | − | 8.13156i | −0.301791 | − | 0.522717i | ||||
\(243\) | 11.7551 | − | 10.2381i | 0.754090 | − | 0.656771i | ||||
\(244\) | 0.579886 | 0.0371234 | ||||||||
\(245\) | 14.4027 | + | 7.97255i | 0.920154 | + | 0.509348i | ||||
\(246\) | 3.17874 | + | 12.5523i | 0.202669 | + | 0.800305i | ||||
\(247\) | 0.779295 | + | 1.34978i | 0.0495854 | + | 0.0858844i | ||||
\(248\) | 11.6689 | 0.740975 | ||||||||
\(249\) | 24.0184 | + | 6.79162i | 1.52210 | + | 0.430402i | ||||
\(250\) | 9.66919 | 0.611533 | ||||||||
\(251\) | −18.7552 | −1.18382 | −0.591909 | − | 0.806005i | \(-0.701626\pi\) | ||||
−0.591909 | + | 0.806005i | \(0.701626\pi\) | |||||||
\(252\) | 8.88782 | − | 2.20583i | 0.559880 | − | 0.138954i | ||||
\(253\) | −4.91223 | −0.308829 | ||||||||
\(254\) | −14.7300 | −0.924244 | ||||||||
\(255\) | −4.38240 | − | 17.3053i | −0.274437 | − | 1.08370i | ||||
\(256\) | −16.7034 | −1.04396 | ||||||||
\(257\) | 0.891933 | + | 1.54487i | 0.0556372 | + | 0.0963665i | 0.892503 | − | 0.451042i | \(-0.148948\pi\) |
−0.836865 | + | 0.547409i | \(0.815614\pi\) | |||||||
\(258\) | 5.48343 | + | 1.55054i | 0.341383 | + | 0.0965321i | ||||
\(259\) | −3.91769 | − | 1.01196i | −0.243434 | − | 0.0628804i | ||||
\(260\) | 2.71325 | 0.168269 | ||||||||
\(261\) | −26.9673 | + | 14.5943i | −1.66923 | + | 0.903366i | ||||
\(262\) | −1.56884 | − | 2.71731i | −0.0969232 | − | 0.167876i | ||||
\(263\) | −6.77617 | + | 11.7367i | −0.417836 | + | 0.723714i | −0.995722 | − | 0.0924042i | \(-0.970545\pi\) |
0.577885 | + | 0.816118i | \(0.303878\pi\) | |||||||
\(264\) | −1.09867 | − | 4.33845i | −0.0676184 | − | 0.267013i | ||||
\(265\) | 5.50319 | − | 9.53180i | 0.338058 | − | 0.585534i | ||||
\(266\) | −3.67290 | − | 0.948734i | −0.225200 | − | 0.0581706i | ||||
\(267\) | −0.897184 | − | 3.54282i | −0.0549068 | − | 0.216817i | ||||
\(268\) | 6.38270 | 0.389885 | ||||||||
\(269\) | −4.30637 | − | 7.45885i | −0.262564 | − | 0.454774i | 0.704359 | − | 0.709844i | \(-0.251235\pi\) |
−0.966923 | + | 0.255070i | \(0.917901\pi\) | |||||||
\(270\) | −3.35557 | + | 10.7289i | −0.204213 | + | 0.652942i | ||||
\(271\) | 10.5155 | − | 18.2133i | 0.638768 | − | 1.10638i | −0.346935 | − | 0.937889i | \(-0.612778\pi\) |
0.985703 | − | 0.168490i | \(-0.0538890\pi\) | |||||||
\(272\) | 0.792024 | + | 1.37183i | 0.0480235 | + | 0.0831792i | ||||
\(273\) | 3.97948 | − | 2.27239i | 0.240849 | − | 0.137531i | ||||
\(274\) | −1.37405 | + | 2.37993i | −0.0830096 | + | 0.143777i | ||||
\(275\) | −0.236276 | − | 0.409242i | −0.0142480 | − | 0.0246782i | ||||
\(276\) | 10.6059 | + | 2.99901i | 0.638401 | + | 0.180519i | ||||
\(277\) | 1.16337 | − | 2.01502i | 0.0699002 | − | 0.121071i | −0.828957 | − | 0.559312i | \(-0.811065\pi\) |
0.898857 | + | 0.438242i | \(0.144399\pi\) | |||||||
\(278\) | −8.61779 | + | 14.9265i | −0.516861 | + | 0.895229i | ||||
\(279\) | 0.332353 | − | 12.0617i | 0.0198974 | − | 0.722112i | ||||
\(280\) | −12.6487 | + | 12.8789i | −0.755905 | + | 0.769664i | ||||
\(281\) | −6.43733 | − | 11.1498i | −0.384019 | − | 0.665140i | 0.607614 | − | 0.794233i | \(-0.292127\pi\) |
−0.991633 | + | 0.129093i | \(0.958794\pi\) | |||||||
\(282\) | −13.0582 | + | 12.7034i | −0.777606 | + | 0.756475i | ||||
\(283\) | −29.0249 | −1.72535 | −0.862674 | − | 0.505760i | \(-0.831212\pi\) | ||||
−0.862674 | + | 0.505760i | \(0.831212\pi\) | |||||||
\(284\) | −2.26876 | −0.134626 | ||||||||
\(285\) | −4.55055 | + | 4.42689i | −0.269551 | + | 0.262226i | ||||
\(286\) | −0.409654 | − | 0.709541i | −0.0242233 | − | 0.0419560i | ||||
\(287\) | 20.8175 | + | 5.37730i | 1.22882 | + | 0.317412i | ||||
\(288\) | −0.451991 | + | 16.4035i | −0.0266338 | + | 0.966587i | ||||
\(289\) | −1.10356 | + | 1.91142i | −0.0649151 | + | 0.112436i | ||||
\(290\) | 11.0562 | − | 19.1499i | 0.649242 | − | 1.12452i | ||||
\(291\) | −29.1178 | − | 8.23356i | −1.70692 | − | 0.482660i | ||||
\(292\) | 2.44708 | + | 4.23846i | 0.143204 | + | 0.248037i | ||||
\(293\) | −2.02365 | + | 3.50506i | −0.118223 | + | 0.204768i | −0.919063 | − | 0.394110i | \(-0.871053\pi\) |
0.800841 | + | 0.598878i | \(0.204386\pi\) | |||||||
\(294\) | −2.84079 | + | 10.7857i | −0.165678 | + | 0.629035i | ||||
\(295\) | 10.0570 | + | 17.4192i | 0.585540 | + | 1.01418i | ||||
\(296\) | 2.21848 | − | 3.84252i | 0.128947 | − | 0.223342i | ||||
\(297\) | −4.51578 | + | 1.01208i | −0.262032 | + | 0.0587270i | ||||
\(298\) | −5.08760 | − | 8.81198i | −0.294717 | − | 0.510464i | ||||
\(299\) | 5.51552 | 0.318971 | ||||||||
\(300\) | 0.260290 | + | 1.02784i | 0.0150278 | + | 0.0593423i | ||||
\(301\) | 6.63014 | − | 6.75082i | 0.382155 | − | 0.389111i | ||||
\(302\) | −1.34045 | + | 2.32172i | −0.0771340 | + | 0.133600i | ||||
\(303\) | −0.555770 | − | 2.19464i | −0.0319282 | − | 0.126079i | ||||
\(304\) | 0.281669 | − | 0.487865i | 0.0161548 | − | 0.0279810i | ||||
\(305\) | 0.591008 | + | 1.02366i | 0.0338410 | + | 0.0586144i | ||||
\(306\) | 10.6372 | − | 5.75670i | 0.608088 | − | 0.329089i | ||||
\(307\) | −4.60984 | −0.263098 | −0.131549 | − | 0.991310i | \(-0.541995\pi\) | ||||
−0.131549 | + | 0.991310i | \(0.541995\pi\) | |||||||
\(308\) | −2.63221 | − | 0.679917i | −0.149984 | − | 0.0387418i | ||||
\(309\) | −26.9476 | − | 7.61991i | −1.53300 | − | 0.433482i | ||||
\(310\) | 4.35071 | + | 7.53565i | 0.247104 | + | 0.427996i | ||||
\(311\) | 5.48641 | 0.311106 | 0.155553 | − | 0.987828i | \(-0.450284\pi\) | ||||
0.155553 | + | 0.987828i | \(0.450284\pi\) | |||||||
\(312\) | 1.23360 | + | 4.87127i | 0.0698388 | + | 0.275781i | ||||
\(313\) | −14.5615 | −0.823063 | −0.411532 | − | 0.911395i | \(-0.635006\pi\) | ||||
−0.411532 | + | 0.911395i | \(0.635006\pi\) | |||||||
\(314\) | 16.3178 | 0.920865 | ||||||||
\(315\) | 12.9522 | + | 13.4413i | 0.729773 | + | 0.757330i | ||||
\(316\) | −1.94477 | −0.109402 | ||||||||
\(317\) | −21.3848 | −1.20109 | −0.600546 | − | 0.799590i | \(-0.705050\pi\) | ||||
−0.600546 | + | 0.799590i | \(0.705050\pi\) | |||||||
\(318\) | 7.17580 | + | 2.02908i | 0.402399 | + | 0.113785i | ||||
\(319\) | 9.10308 | 0.509675 | ||||||||
\(320\) | −6.76686 | − | 11.7205i | −0.378279 | − | 0.655198i | ||||
\(321\) | −6.60678 | − | 26.0890i | −0.368755 | − | 1.45615i | ||||
\(322\) | −9.40637 | + | 9.57758i | −0.524197 | + | 0.533738i | ||||
\(323\) | 6.83067 | 0.380068 | ||||||||
\(324\) | 10.3678 | + | 0.571795i | 0.575990 | + | 0.0317664i | ||||
\(325\) | 0.265294 | + | 0.459503i | 0.0147159 | + | 0.0254886i | ||||
\(326\) | 6.83510 | − | 11.8387i | 0.378561 | − | 0.655688i | ||||
\(327\) | −21.1684 | − | 5.98573i | −1.17061 | − | 0.331012i | ||||
\(328\) | −11.7884 | + | 20.4181i | −0.650905 | + | 1.12740i | ||||
\(329\) | 8.09262 | + | 29.1480i | 0.446160 | + | 1.60698i | ||||
\(330\) | 2.39209 | − | 2.32709i | 0.131680 | − | 0.128102i | ||||
\(331\) | 6.84026 | 0.375975 | 0.187987 | − | 0.982171i | \(-0.439804\pi\) | ||||
0.187987 | + | 0.982171i | \(0.439804\pi\) | |||||||
\(332\) | 8.31307 | + | 14.3987i | 0.456239 | + | 0.790229i | ||||
\(333\) | −3.90867 | − | 2.40260i | −0.214194 | − | 0.131662i | ||||
\(334\) | 4.25869 | − | 7.37626i | 0.233025 | − | 0.403611i | ||||
\(335\) | 6.50512 | + | 11.2672i | 0.355413 | + | 0.615593i | ||||
\(336\) | −1.43047 | − | 0.834977i | −0.0780385 | − | 0.0455517i | ||||
\(337\) | −2.40428 | + | 4.16433i | −0.130969 | + | 0.226845i | −0.924050 | − | 0.382271i | \(-0.875142\pi\) |
0.793081 | + | 0.609116i | \(0.208476\pi\) | |||||||
\(338\) | 0.459964 | + | 0.796682i | 0.0250188 | + | 0.0433338i | ||||
\(339\) | 0.359586 | + | 1.41994i | 0.0195300 | + | 0.0771206i | ||||
\(340\) | 5.94554 | − | 10.2980i | 0.322442 | − | 0.558486i | ||||
\(341\) | −1.79107 | + | 3.10223i | −0.0969920 | + | 0.167995i | ||||
\(342\) | −3.66445 | − | 2.25248i | −0.198151 | − | 0.121800i | ||||
\(343\) | 13.4453 | + | 12.7367i | 0.725977 | + | 0.687719i | ||||
\(344\) | 5.18788 | + | 8.98567i | 0.279712 | + | 0.484475i | ||||
\(345\) | 5.51528 | + | 21.7789i | 0.296932 | + | 1.17253i | ||||
\(346\) | −11.7195 | −0.630047 | ||||||||
\(347\) | 12.5502 | 0.673732 | 0.336866 | − | 0.941553i | \(-0.390633\pi\) | ||||
0.336866 | + | 0.941553i | \(0.390633\pi\) | |||||||
\(348\) | −19.6543 | − | 5.55760i | −1.05358 | − | 0.297919i | ||||
\(349\) | −7.59288 | − | 13.1513i | −0.406438 | − | 0.703971i | 0.588050 | − | 0.808825i | \(-0.299896\pi\) |
−0.994488 | + | 0.104854i | \(0.966563\pi\) | |||||||
\(350\) | −1.25036 | − | 0.322976i | −0.0668345 | − | 0.0172638i | ||||
\(351\) | 5.07037 | − | 1.13638i | 0.270636 | − | 0.0606554i | ||||
\(352\) | 2.43581 | − | 4.21895i | 0.129829 | − | 0.224871i | ||||
\(353\) | 3.11778 | − | 5.40015i | 0.165943 | − | 0.287421i | −0.771047 | − | 0.636778i | \(-0.780267\pi\) |
0.936990 | + | 0.349357i | \(0.113600\pi\) | |||||||
\(354\) | −9.76813 | + | 9.50269i | −0.519171 | + | 0.505062i | ||||
\(355\) | −2.31227 | − | 4.00497i | −0.122723 | − | 0.212562i | ||||
\(356\) | 1.21720 | − | 2.10825i | 0.0645113 | − | 0.111737i | ||||
\(357\) | 0.0955018 | − | 20.0833i | 0.00505449 | − | 1.06292i | ||||
\(358\) | −5.90989 | − | 10.2362i | −0.312347 | − | 0.541001i | ||||
\(359\) | 3.87141 | − | 6.70548i | 0.204325 | − | 0.353902i | −0.745592 | − | 0.666402i | \(-0.767833\pi\) |
0.949918 | + | 0.312501i | \(0.101167\pi\) | |||||||
\(360\) | −18.0014 | + | 9.74211i | −0.948757 | + | 0.513454i | ||||
\(361\) | 8.28540 | + | 14.3507i | 0.436074 | + | 0.755302i | ||||
\(362\) | 15.2945 | 0.803859 | ||||||||
\(363\) | −17.0117 | − | 4.81034i | −0.892881 | − | 0.252478i | ||||
\(364\) | 2.95548 | + | 0.763419i | 0.154909 | + | 0.0400140i | ||||
\(365\) | −4.98802 | + | 8.63951i | −0.261085 | + | 0.452213i | ||||
\(366\) | −0.574034 | + | 0.558435i | −0.0300053 | + | 0.0291899i | ||||
\(367\) | −2.27090 | + | 3.93331i | −0.118540 | + | 0.205317i | −0.919189 | − | 0.393816i | \(-0.871155\pi\) |
0.800649 | + | 0.599133i | \(0.204488\pi\) | |||||||
\(368\) | −0.996767 | − | 1.72645i | −0.0519601 | − | 0.0899975i | ||||
\(369\) | 20.7696 | + | 12.7667i | 1.08122 | + | 0.664610i | ||||
\(370\) | 3.30862 | 0.172007 | ||||||||
\(371\) | 8.67642 | − | 8.83434i | 0.450457 | − | 0.458656i | ||||
\(372\) | 5.76104 | − | 5.60449i | 0.298696 | − | 0.290579i | ||||
\(373\) | 6.12636 | + | 10.6112i | 0.317211 | + | 0.549425i | 0.979905 | − | 0.199465i | \(-0.0639204\pi\) |
−0.662694 | + | 0.748890i | \(0.730587\pi\) | |||||||
\(374\) | −3.59069 | −0.185670 | ||||||||
\(375\) | 13.0491 | − | 12.6945i | 0.673855 | − | 0.655543i | ||||
\(376\) | −33.1713 | −1.71068 | ||||||||
\(377\) | −10.2211 | −0.526411 | ||||||||
\(378\) | −6.67390 | + | 10.7426i | −0.343268 | + | 0.552541i | ||||
\(379\) | 8.36007 | 0.429428 | 0.214714 | − | 0.976677i | \(-0.431118\pi\) | ||||
0.214714 | + | 0.976677i | \(0.431118\pi\) | |||||||
\(380\) | −4.22885 | −0.216935 | ||||||||
\(381\) | −19.8790 | + | 19.3388i | −1.01843 | + | 0.990758i | ||||
\(382\) | −5.92691 | −0.303247 | ||||||||
\(383\) | 3.94634 | + | 6.83526i | 0.201649 | + | 0.349266i | 0.949060 | − | 0.315096i | \(-0.102037\pi\) |
−0.747411 | + | 0.664362i | \(0.768703\pi\) | |||||||
\(384\) | −7.00926 | + | 6.81879i | −0.357690 | + | 0.347970i | ||||
\(385\) | −1.48246 | − | 5.33953i | −0.0755532 | − | 0.272127i | ||||
\(386\) | 17.3167 | 0.881399 | ||||||||
\(387\) | 9.43588 | − | 5.10657i | 0.479653 | − | 0.259582i | ||||
\(388\) | −10.0780 | − | 17.4557i | −0.511635 | − | 0.886177i | ||||
\(389\) | −5.96375 | + | 10.3295i | −0.302374 | + | 0.523727i | −0.976673 | − | 0.214731i | \(-0.931112\pi\) |
0.674299 | + | 0.738458i | \(0.264446\pi\) | |||||||
\(390\) | −2.68587 | + | 2.61289i | −0.136005 | + | 0.132309i | ||||
\(391\) | 12.0861 | − | 20.9338i | 0.611222 | − | 1.05867i | ||||
\(392\) | −17.4016 | + | 10.4698i | −0.878915 | + | 0.528804i | ||||
\(393\) | −5.68475 | − | 1.60746i | −0.286758 | − | 0.0810858i | ||||
\(394\) | 10.6116 | 0.534606 | ||||||||
\(395\) | −1.98207 | − | 3.43305i | −0.0997289 | − | 0.172736i | ||||
\(396\) | −2.62615 | − | 1.61425i | −0.131969 | − | 0.0811193i | ||||
\(397\) | −1.09701 | + | 1.90008i | −0.0550575 | + | 0.0953624i | −0.892241 | − | 0.451560i | \(-0.850868\pi\) |
0.837183 | + | 0.546923i | \(0.184201\pi\) | |||||||
\(398\) | 6.19119 | + | 10.7235i | 0.310336 | + | 0.537518i | ||||
\(399\) | −6.20238 | + | 3.54173i | −0.310507 | + | 0.177308i | ||||
\(400\) | 0.0958881 | − | 0.166083i | 0.00479441 | − | 0.00830415i | ||||
\(401\) | −14.0427 | − | 24.3226i | −0.701257 | − | 1.21461i | −0.968025 | − | 0.250853i | \(-0.919289\pi\) |
0.266768 | − | 0.963761i | \(-0.414044\pi\) | |||||||
\(402\) | −6.31829 | + | 6.14659i | −0.315128 | + | 0.306564i | ||||
\(403\) | 2.01104 | − | 3.48322i | 0.100177 | − | 0.173512i | ||||
\(404\) | 0.754006 | − | 1.30598i | 0.0375132 | − | 0.0649748i | ||||
\(405\) | 9.55731 | + | 18.8848i | 0.474907 | + | 0.938393i | ||||
\(406\) | 17.4314 | − | 17.7487i | 0.865104 | − | 0.880851i | ||||
\(407\) | 0.681036 | + | 1.17959i | 0.0337577 | + | 0.0584700i | ||||
\(408\) | 21.1918 | + | 5.99234i | 1.04915 | + | 0.296665i | ||||
\(409\) | −33.5146 | −1.65719 | −0.828596 | − | 0.559848i | \(-0.810860\pi\) | ||||
−0.828596 | + | 0.559848i | \(0.810860\pi\) | |||||||
\(410\) | −17.5811 | −0.868267 | ||||||||
\(411\) | 1.27021 | + | 5.01583i | 0.0626547 | + | 0.247413i | ||||
\(412\) | −9.32691 | − | 16.1547i | −0.459504 | − | 0.795884i | ||||
\(413\) | 6.05364 | + | 21.8040i | 0.297880 | + | 1.07290i | ||||
\(414\) | −13.3870 | + | 7.24484i | −0.657933 | + | 0.356065i | ||||
\(415\) | −16.9450 | + | 29.3497i | −0.831799 | + | 1.44072i | ||||
\(416\) | −2.73496 | + | 4.73709i | −0.134092 | + | 0.232255i | ||||
\(417\) | 7.96650 | + | 31.4583i | 0.390121 | + | 1.54052i | ||||
\(418\) | 0.638482 | + | 1.10588i | 0.0312292 | + | 0.0540905i | ||||
\(419\) | −17.7237 | + | 30.6983i | −0.865859 | + | 1.49971i | 0.000333594 | 1.00000i | \(0.499894\pi\) | |
−0.866192 | + | 0.499711i | \(0.833440\pi\) | |||||||
\(420\) | −0.0591250 | + | 12.4335i | −0.00288500 | + | 0.606695i | ||||
\(421\) | 6.15206 | + | 10.6557i | 0.299833 | + | 0.519326i | 0.976098 | − | 0.217333i | \(-0.0697356\pi\) |
−0.676264 | + | 0.736659i | \(0.736402\pi\) | |||||||
\(422\) | −9.07573 | + | 15.7196i | −0.441799 | + | 0.765219i | ||||
\(423\) | −0.944785 | + | 34.2879i | −0.0459370 | + | 1.66713i | ||||
\(424\) | 6.78903 | + | 11.7589i | 0.329704 | + | 0.571065i | ||||
\(425\) | 2.32535 | 0.112796 | ||||||||
\(426\) | 2.24586 | − | 2.18483i | 0.108812 | − | 0.105855i | ||||
\(427\) | 0.355748 | + | 1.28133i | 0.0172159 | + | 0.0620081i | ||||
\(428\) | 8.96333 | − | 15.5249i | 0.433259 | − | 0.750426i | ||||
\(429\) | −1.48440 | − | 0.419739i | −0.0716674 | − | 0.0202652i | ||||
\(430\) | −3.86857 | + | 6.70056i | −0.186559 | + | 0.323130i | ||||
\(431\) | 10.9063 | + | 18.8903i | 0.525338 | + | 0.909912i | 0.999565 | + | 0.0295091i | \(0.00939441\pi\) |
−0.474227 | + | 0.880403i | \(0.657272\pi\) | |||||||
\(432\) | −1.27203 | − | 1.38175i | −0.0612004 | − | 0.0664793i | ||||
\(433\) | 23.1815 | 1.11403 | 0.557017 | − | 0.830501i | \(-0.311946\pi\) | ||||
0.557017 | + | 0.830501i | \(0.311946\pi\) | |||||||
\(434\) | 2.61884 | + | 9.43255i | 0.125708 | + | 0.452777i | ||||
\(435\) | −10.2206 | − | 40.3594i | −0.490040 | − | 1.93508i | ||||
\(436\) | −7.32665 | − | 12.6901i | −0.350883 | − | 0.607747i | ||||
\(437\) | −8.59643 | −0.411223 | ||||||||
\(438\) | −6.50406 | − | 1.83914i | −0.310776 | − | 0.0878773i | ||||
\(439\) | −25.8054 | −1.23163 | −0.615813 | − | 0.787893i | \(-0.711172\pi\) | ||||
−0.615813 | + | 0.787893i | \(0.711172\pi\) | |||||||
\(440\) | 6.07655 | 0.289688 | ||||||||
\(441\) | 10.3266 | + | 18.2856i | 0.491741 | + | 0.870741i | ||||
\(442\) | 4.03167 | 0.191767 | ||||||||
\(443\) | −15.4278 | −0.732999 | −0.366499 | − | 0.930418i | \(-0.619444\pi\) | ||||
−0.366499 | + | 0.930418i | \(0.619444\pi\) | |||||||
\(444\) | −0.750252 | − | 2.96261i | −0.0356054 | − | 0.140599i | ||||
\(445\) | 4.96217 | 0.235230 | ||||||||
\(446\) | −8.17808 | − | 14.1649i | −0.387243 | − | 0.670725i | ||||
\(447\) | −18.4351 | − | 5.21285i | −0.871951 | − | 0.246559i | ||||
\(448\) | −4.07320 | − | 14.6709i | −0.192441 | − | 0.693133i | ||||
\(449\) | 36.1491 | 1.70598 | 0.852990 | − | 0.521927i | \(-0.174787\pi\) | ||||
0.852990 | + | 0.521927i | \(0.174787\pi\) | |||||||
\(450\) | −1.24748 | − | 0.766806i | −0.0588068 | − | 0.0361476i | ||||
\(451\) | −3.61883 | − | 6.26800i | −0.170404 | − | 0.295149i | ||||
\(452\) | −0.487845 | + | 0.844972i | −0.0229463 | + | 0.0397441i | ||||
\(453\) | 1.23914 | + | 4.89315i | 0.0582199 | + | 0.229900i | ||||
\(454\) | 3.90350 | − | 6.76106i | 0.183200 | − | 0.317312i | ||||
\(455\) | 1.66452 | + | 5.99529i | 0.0780341 | + | 0.281063i | ||||
\(456\) | −1.92268 | − | 7.59231i | −0.0900376 | − | 0.355543i | ||||
\(457\) | −20.0448 | −0.937657 | −0.468828 | − | 0.883289i | \(-0.655324\pi\) | ||||
−0.468828 | + | 0.883289i | \(0.655324\pi\) | |||||||
\(458\) | 13.6159 | + | 23.5835i | 0.636230 | + | 1.10198i | ||||
\(459\) | 6.79763 | − | 21.7344i | 0.317286 | − | 1.01448i | ||||
\(460\) | −7.48250 | + | 12.9601i | −0.348873 | + | 0.604266i | ||||
\(461\) | −4.65477 | − | 8.06229i | −0.216794 | − | 0.375498i | 0.737032 | − | 0.675858i | \(-0.236227\pi\) |
−0.953826 | + | 0.300359i | \(0.902893\pi\) | |||||||
\(462\) | 3.26042 | − | 1.86179i | 0.151688 | − | 0.0866181i | ||||
\(463\) | −7.80494 | + | 13.5186i | −0.362726 | + | 0.628260i | −0.988409 | − | 0.151818i | \(-0.951487\pi\) |
0.625682 | + | 0.780078i | \(0.284821\pi\) | |||||||
\(464\) | 1.84715 | + | 3.19936i | 0.0857520 | + | 0.148527i | ||||
\(465\) | 15.7650 | + | 4.45782i | 0.731083 | + | 0.206727i | ||||
\(466\) | 0.953129 | − | 1.65087i | 0.0441528 | − | 0.0764749i | ||||
\(467\) | 20.9803 | − | 36.3389i | 0.970851 | − | 1.68156i | 0.277853 | − | 0.960623i | \(-0.410377\pi\) |
0.692998 | − | 0.720940i | \(-0.256290\pi\) | |||||||
\(468\) | 2.94868 | + | 1.81250i | 0.136303 | + | 0.0837830i | ||||
\(469\) | 3.91565 | + | 14.1034i | 0.180808 | + | 0.651235i | ||||
\(470\) | −12.3678 | − | 21.4217i | −0.570486 | − | 0.988111i | ||||
\(471\) | 22.0218 | − | 21.4234i | 1.01471 | − | 0.987136i | ||||
\(472\) | −24.8136 | −1.14214 | ||||||||
\(473\) | −3.18518 | −0.146455 | ||||||||
\(474\) | 1.92515 | − | 1.87283i | 0.0884250 | − | 0.0860220i | ||||
\(475\) | −0.413485 | − | 0.716176i | −0.0189720 | − | 0.0328604i | ||||
\(476\) | 9.37384 | − | 9.54446i | 0.429649 | − | 0.437470i | ||||
\(477\) | 12.3481 | − | 6.68263i | 0.565381 | − | 0.305976i | ||||
\(478\) | −12.7822 | + | 22.1394i | −0.584643 | + | 1.01263i | ||||
\(479\) | −3.27603 | + | 5.67424i | −0.149685 | + | 0.259263i | −0.931111 | − | 0.364735i | \(-0.881159\pi\) |
0.781426 | + | 0.623998i | \(0.214493\pi\) | |||||||
\(480\) | −21.4399 | − | 6.06252i | −0.978595 | − | 0.276715i | ||||
\(481\) | −0.764675 | − | 1.32446i | −0.0348662 | − | 0.0603900i | ||||
\(482\) | 0.0404196 | − | 0.0700088i | 0.00184106 | − | 0.00318882i | ||||
\(483\) | −0.120190 | + | 25.2750i | −0.00546882 | + | 1.15005i | ||||
\(484\) | −5.88795 | − | 10.1982i | −0.267634 | − | 0.463556i | ||||
\(485\) | 20.5427 | − | 35.5809i | 0.932794 | − | 1.61565i | ||||
\(486\) | −10.8138 | + | 9.41828i | −0.490526 | + | 0.427222i | ||||
\(487\) | −6.03483 | − | 10.4526i | −0.273464 | − | 0.473654i | 0.696282 | − | 0.717768i | \(-0.254836\pi\) |
−0.969747 | + | 0.244114i | \(0.921503\pi\) | |||||||
\(488\) | −1.45820 | −0.0660096 | ||||||||
\(489\) | −6.31853 | − | 24.9508i | −0.285734 | − | 1.12831i | ||||
\(490\) | −13.2494 | − | 7.33418i | −0.598549 | − | 0.331324i | ||||
\(491\) | 14.5456 | − | 25.1937i | 0.656432 | − | 1.13697i | −0.325101 | − | 0.945679i | \(-0.605398\pi\) |
0.981533 | − | 0.191294i | \(-0.0612685\pi\) | |||||||
\(492\) | 3.98663 | + | 15.7425i | 0.179731 | + | 0.709727i | ||||
\(493\) | −22.3974 | + | 38.7934i | −1.00873 | + | 1.74716i | ||||
\(494\) | −0.716896 | − | 1.24170i | −0.0322547 | − | 0.0558667i | ||||
\(495\) | 0.173072 | − | 6.28109i | 0.00777902 | − | 0.282314i | ||||
\(496\) | −1.45374 | −0.0652750 | ||||||||
\(497\) | −1.39183 | − | 5.01311i | −0.0624323 | − | 0.224869i | ||||
\(498\) | −22.0952 | − | 6.24781i | −0.990110 | − | 0.279971i | ||||
\(499\) | −20.4974 | − | 35.5025i | −0.917589 | − | 1.58931i | −0.803066 | − | 0.595890i | \(-0.796799\pi\) |
−0.114523 | − | 0.993421i | \(-0.536534\pi\) | |||||||
\(500\) | 12.1266 | 0.542320 | ||||||||
\(501\) | −3.93683 | − | 15.5459i | −0.175885 | − | 0.694538i | ||||
\(502\) | 17.2535 | 0.770060 | ||||||||
\(503\) | −3.88786 | −0.173351 | −0.0866755 | − | 0.996237i | \(-0.527624\pi\) | ||||
−0.0866755 | + | 0.996237i | \(0.527624\pi\) | |||||||
\(504\) | −22.3496 | + | 5.54685i | −0.995530 | + | 0.247076i | ||||
\(505\) | 3.07387 | 0.136785 | ||||||||
\(506\) | 4.51890 | 0.200890 | ||||||||
\(507\) | 1.66670 | + | 0.471288i | 0.0740207 | + | 0.0209307i | ||||
\(508\) | −18.4737 | −0.819638 | ||||||||
\(509\) | 17.7911 | + | 30.8151i | 0.788577 | + | 1.36586i | 0.926839 | + | 0.375460i | \(0.122515\pi\) |
−0.138262 | + | 0.990396i | \(0.544151\pi\) | |||||||
\(510\) | 4.03149 | + | 15.9197i | 0.178518 | + | 0.704935i | ||||
\(511\) | −7.86420 | + | 8.00734i | −0.347892 | + | 0.354224i | ||||
\(512\) | 4.07428 | 0.180060 | ||||||||
\(513\) | −7.90263 | + | 1.77115i | −0.348910 | + | 0.0781981i | ||||
\(514\) | −0.820515 | − | 1.42117i | −0.0361913 | − | 0.0626853i | ||||
\(515\) | 19.0116 | − | 32.9291i | 0.837752 | − | 1.45103i | ||||
\(516\) | 6.87706 | + | 1.94461i | 0.302746 | + | 0.0856066i | ||||
\(517\) | 5.09151 | − | 8.81876i | 0.223925 | − | 0.387849i | ||||
\(518\) | 3.60400 | + | 0.930935i | 0.158351 | + | 0.0409029i | ||||
\(519\) | −15.8162 | + | 15.3864i | −0.694255 | + | 0.675388i | ||||
\(520\) | −6.82283 | −0.299201 | ||||||||
\(521\) | −9.35370 | − | 16.2011i | −0.409793 | − | 0.709783i | 0.585073 | − | 0.810981i | \(-0.301066\pi\) |
−0.994866 | + | 0.101198i | \(0.967732\pi\) | |||||||
\(522\) | 24.8080 | − | 13.4257i | 1.08582 | − | 0.587629i | ||||
\(523\) | −11.0542 | + | 19.1465i | −0.483368 | + | 0.837218i | −0.999818 | − | 0.0190999i | \(-0.993920\pi\) |
0.516450 | + | 0.856317i | \(0.327253\pi\) | |||||||
\(524\) | −1.96756 | − | 3.40792i | −0.0859534 | − | 0.148876i | ||||
\(525\) | −2.11146 | + | 1.20570i | −0.0921518 | + | 0.0526212i | ||||
\(526\) | 6.23359 | − | 10.7969i | 0.271797 | − | 0.470767i | ||||
\(527\) | −8.81356 | − | 15.2655i | −0.383925 | − | 0.664977i | ||||
\(528\) | 0.136875 | + | 0.540497i | 0.00595674 | + | 0.0235221i | ||||
\(529\) | −3.71047 | + | 6.42672i | −0.161325 | + | 0.279423i | ||||
\(530\) | −5.06254 | + | 8.76858i | −0.219903 | + | 0.380883i | ||||
\(531\) | −0.706741 | + | 25.6489i | −0.0306700 | + | 1.11307i | ||||
\(532\) | −4.60638 | − | 1.18986i | −0.199712 | − | 0.0515869i | ||||
\(533\) | 4.06327 | + | 7.03779i | 0.176000 | + | 0.304841i | ||||
\(534\) | 0.825345 | + | 3.25914i | 0.0357162 | + | 0.141037i | ||||
\(535\) | 36.5410 | 1.57980 | ||||||||
\(536\) | −16.0501 | −0.693260 | ||||||||
\(537\) | −21.4147 | − | 6.05538i | −0.924113 | − | 0.261309i | ||||
\(538\) | 3.96155 | + | 6.86161i | 0.170795 | + | 0.295825i | ||||
\(539\) | −0.112443 | − | 6.23333i | −0.00484326 | − | 0.268489i | ||||
\(540\) | −4.20840 | + | 13.4557i | −0.181101 | + | 0.579042i | ||||
\(541\) | −3.92007 | + | 6.78976i | −0.168537 | + | 0.291915i | −0.937906 | − | 0.346890i | \(-0.887238\pi\) |
0.769369 | + | 0.638805i | \(0.220571\pi\) | |||||||
\(542\) | −9.67346 | + | 16.7549i | −0.415511 | + | 0.719686i | ||||
\(543\) | 20.6408 | − | 20.0799i | 0.885780 | − | 0.861709i | ||||
\(544\) | 11.9862 | + | 20.7607i | 0.513904 | + | 0.890108i | ||||
\(545\) | 14.9343 | − | 25.8671i | 0.639717 | − | 1.10802i | ||||
\(546\) | −3.66084 | + | 2.09044i | −0.156669 | + | 0.0894624i | ||||
\(547\) | 8.12851 | + | 14.0790i | 0.347550 | + | 0.601974i | 0.985814 | − | 0.167844i | \(-0.0536804\pi\) |
−0.638264 | + | 0.769818i | \(0.720347\pi\) | |||||||
\(548\) | −1.72327 | + | 2.98480i | −0.0736146 | + | 0.127504i | ||||
\(549\) | −0.0415324 | + | 1.50728i | −0.00177256 | + | 0.0643292i | ||||
\(550\) | 0.217357 | + | 0.376474i | 0.00926814 | + | 0.0160529i | ||||
\(551\) | 15.9304 | 0.678659 | ||||||||
\(552\) | −26.6700 | − | 7.54140i | −1.13515 | − | 0.320983i | ||||
\(553\) | −1.19308 | − | 4.29723i | −0.0507348 | − | 0.182737i | ||||
\(554\) | −1.07022 | + | 1.85367i | −0.0454692 | + | 0.0787550i | ||||
\(555\) | 4.46518 | − | 4.34383i | 0.189536 | − | 0.184386i | ||||
\(556\) | −10.8080 | + | 18.7201i | −0.458363 | + | 0.793908i | ||||
\(557\) | −18.2227 | − | 31.5626i | −0.772119 | − | 1.33735i | −0.936400 | − | 0.350935i | \(-0.885864\pi\) |
0.164281 | − | 0.986414i | \(-0.447470\pi\) | |||||||
\(558\) | −0.305741 | + | 11.0959i | −0.0129430 | + | 0.469725i | ||||
\(559\) | 3.57636 | 0.151264 | ||||||||
\(560\) | 1.57581 | − | 1.60450i | 0.0665903 | − | 0.0678023i | ||||
\(561\) | −4.84585 | + | 4.71416i | −0.204592 | + | 0.199032i | ||||
\(562\) | 5.92188 | + | 10.2570i | 0.249799 | + | 0.432665i | ||||
\(563\) | −10.8503 | −0.457285 | −0.228642 | − | 0.973510i | \(-0.573429\pi\) | ||||
−0.228642 | + | 0.973510i | \(0.573429\pi\) | |||||||
\(564\) | −16.3770 | + | 15.9320i | −0.689597 | + | 0.670857i | ||||
\(565\) | −1.98881 | −0.0836697 | ||||||||
\(566\) | 26.7008 | 1.12232 | ||||||||
\(567\) | 5.09699 | + | 23.2599i | 0.214054 | + | 0.976822i | ||||
\(568\) | 5.70508 | 0.239380 | ||||||||
\(569\) | 5.70887 | 0.239328 | 0.119664 | − | 0.992814i | \(-0.461818\pi\) | ||||
0.119664 | + | 0.992814i | \(0.461818\pi\) | |||||||
\(570\) | 4.18618 | − | 4.07242i | 0.175340 | − | 0.170575i | ||||
\(571\) | 38.4857 | 1.61057 | 0.805287 | − | 0.592885i | \(-0.202011\pi\) | ||||
0.805287 | + | 0.592885i | \(0.202011\pi\) | |||||||
\(572\) | −0.513768 | − | 0.889873i | −0.0214817 | − | 0.0372075i | ||||
\(573\) | −7.99872 | + | 7.78135i | −0.334151 | + | 0.325071i | ||||
\(574\) | −19.1506 | − | 4.94673i | −0.799332 | − | 0.206472i | ||||
\(575\) | −2.92647 | −0.122042 | ||||||||
\(576\) | 0.475532 | − | 17.2579i | 0.0198139 | − | 0.719079i | ||||
\(577\) | −13.2218 | − | 22.9007i | −0.550429 | − | 0.953371i | −0.998244 | − | 0.0592442i | \(-0.981131\pi\) |
0.447815 | − | 0.894126i | \(-0.352202\pi\) | |||||||
\(578\) | 1.01519 | − | 1.75837i | 0.0422265 | − | 0.0731385i | ||||
\(579\) | 23.3699 | − | 22.7349i | 0.971222 | − | 0.944829i | ||||
\(580\) | 13.8662 | − | 24.0169i | 0.575761 | − | 0.997247i | ||||
\(581\) | −26.7158 | + | 27.2021i | −1.10836 | + | 1.12853i | ||||
\(582\) | 26.7863 | + | 7.57429i | 1.11033 | + | 0.313964i | ||||
\(583\) | −4.16823 | −0.172630 | ||||||||
\(584\) | −6.15349 | − | 10.6582i | −0.254633 | − | 0.441038i | ||||
\(585\) | −0.194328 | + | 7.05248i | −0.00803446 | + | 0.291584i | ||||
\(586\) | 1.86161 | − | 3.22441i | 0.0769025 | − | 0.133199i | ||||
\(587\) | 14.1682 | + | 24.5401i | 0.584785 | + | 1.01288i | 0.994902 | + | 0.100844i | \(0.0321544\pi\) |
−0.410117 | + | 0.912033i | \(0.634512\pi\) | |||||||
\(588\) | −3.56279 | + | 13.5269i | −0.146927 | + | 0.557841i | ||||
\(589\) | −3.13439 | + | 5.42892i | −0.129150 | + | 0.223695i | ||||
\(590\) | −9.25170 | − | 16.0244i | −0.380886 | − | 0.659715i | ||||
\(591\) | 14.3210 | − | 13.9318i | 0.589088 | − | 0.573079i | ||||
\(592\) | −0.276385 | + | 0.478713i | −0.0113594 | + | 0.0196750i | ||||
\(593\) | 11.3491 | − | 19.6571i | 0.466050 | − | 0.807222i | −0.533199 | − | 0.845990i | \(-0.679010\pi\) |
0.999248 | + | 0.0387685i | \(0.0123435\pi\) | |||||||
\(594\) | 4.15419 | − | 0.931043i | 0.170449 | − | 0.0382012i | ||||
\(595\) | 26.4022 | + | 6.81985i | 1.08238 | + | 0.279587i | ||||
\(596\) | −6.38063 | − | 11.0516i | −0.261361 | − | 0.452690i | ||||
\(597\) | 22.4340 | + | 6.34361i | 0.918164 | + | 0.259627i | ||||
\(598\) | −5.07388 | −0.207486 | ||||||||
\(599\) | −16.3597 | −0.668439 | −0.334219 | − | 0.942495i | \(-0.608473\pi\) | ||||
−0.334219 | + | 0.942495i | \(0.608473\pi\) | |||||||
\(600\) | −0.654533 | − | 2.58464i | −0.0267212 | − | 0.105517i | ||||
\(601\) | −11.3314 | − | 19.6266i | −0.462219 | − | 0.800587i | 0.536852 | − | 0.843676i | \(-0.319613\pi\) |
−0.999071 | + | 0.0430892i | \(0.986280\pi\) | |||||||
\(602\) | −6.09925 | + | 6.21027i | −0.248587 | + | 0.253112i | ||||
\(603\) | −0.457139 | + | 16.5904i | −0.0186161 | + | 0.675612i | ||||
\(604\) | −1.68112 | + | 2.91179i | −0.0684040 | + | 0.118479i | ||||
\(605\) | 12.0018 | − | 20.7877i | 0.487941 | − | 0.845139i | ||||
\(606\) | 0.511269 | + | 2.01891i | 0.0207689 | + | 0.0820127i | ||||
\(607\) | 7.00233 | + | 12.1284i | 0.284216 | + | 0.492276i | 0.972419 | − | 0.233242i | \(-0.0749335\pi\) |
−0.688203 | + | 0.725518i | \(0.741600\pi\) | |||||||
\(608\) | 4.26268 | − | 7.38318i | 0.172874 | − | 0.299427i | ||||
\(609\) | 0.222729 | − | 46.8382i | 0.00902543 | − | 1.89798i | ||||
\(610\) | −0.543685 | − | 0.941691i | −0.0220132 | − | 0.0381279i | ||||
\(611\) | −5.71682 | + | 9.90182i | −0.231278 | + | 0.400585i | ||||
\(612\) | 13.3407 | − | 7.21978i | 0.539264 | − | 0.291843i | ||||
\(613\) | −13.0375 | − | 22.5816i | −0.526580 | − | 0.912063i | −0.999520 | − | 0.0309687i | \(-0.990141\pi\) |
0.472941 | − | 0.881094i | \(-0.343193\pi\) | |||||||
\(614\) | 4.24073 | 0.171142 | ||||||||
\(615\) | −23.7267 | + | 23.0819i | −0.956752 | + | 0.930753i | ||||
\(616\) | 6.61904 | + | 1.70974i | 0.266689 | + | 0.0688873i | ||||
\(617\) | −4.34395 | + | 7.52394i | −0.174881 | + | 0.302903i | −0.940120 | − | 0.340843i | \(-0.889287\pi\) |
0.765239 | + | 0.643746i | \(0.222621\pi\) | |||||||
\(618\) | 24.7899 | + | 7.00978i | 0.997196 | + | 0.281975i | ||||
\(619\) | 11.7545 | − | 20.3594i | 0.472454 | − | 0.818314i | −0.527049 | − | 0.849835i | \(-0.676702\pi\) |
0.999503 | + | 0.0315207i | \(0.0100350\pi\) | |||||||
\(620\) | 5.45646 | + | 9.45086i | 0.219137 | + | 0.379556i | ||||
\(621\) | −8.55485 | + | 27.3529i | −0.343294 | + | 1.09763i | ||||
\(622\) | −5.04711 | −0.202371 | ||||||||
\(623\) | 5.40517 | + | 1.39619i | 0.216554 | + | 0.0559372i | ||||
\(624\) | −0.153685 | − | 0.606877i | −0.00615234 | − | 0.0242945i | ||||
\(625\) | 13.6857 | + | 23.7043i | 0.547428 | + | 0.948174i | ||||
\(626\) | 13.3955 | 0.535393 | ||||||||
\(627\) | 2.31357 | + | 0.654202i | 0.0923950 | + | 0.0261263i | ||||
\(628\) | 20.4650 | 0.816642 | ||||||||
\(629\) | −6.70252 | −0.267247 | ||||||||
\(630\) | −11.9151 | − | 12.3650i | −0.474708 | − | 0.492634i | ||||
\(631\) | 5.28315 | 0.210319 | 0.105160 | − | 0.994455i | \(-0.466465\pi\) | ||||
0.105160 | + | 0.994455i | \(0.466465\pi\) | |||||||
\(632\) | 4.89038 | 0.194529 | ||||||||
\(633\) | 8.38982 | + | 33.1299i | 0.333465 | + | 1.31680i | ||||
\(634\) | 19.6725 | 0.781296 | ||||||||
\(635\) | −18.8280 | − | 32.6111i | −0.747168 | − | 1.29413i | ||||
\(636\) | 8.99955 | + | 2.54478i | 0.356855 | + | 0.100907i | ||||
\(637\) | 0.126252 | + | 6.99886i | 0.00500230 | + | 0.277305i | ||||
\(638\) | −8.37418 | −0.331537 | ||||||||
\(639\) | 0.162492 | − | 5.89711i | 0.00642808 | − | 0.233286i | ||||
\(640\) | −6.63869 | − | 11.4985i | −0.262417 | − | 0.454520i | ||||
\(641\) | 14.3457 | − | 24.8475i | 0.566621 | − | 0.981417i | −0.430276 | − | 0.902697i | \(-0.641584\pi\) |
0.996897 | − | 0.0787190i | \(-0.0250830\pi\) | |||||||
\(642\) | 6.07777 | + | 24.0000i | 0.239870 | + | 0.947206i | ||||
\(643\) | 5.74466 | − | 9.95005i | 0.226547 | − | 0.392392i | −0.730235 | − | 0.683196i | \(-0.760589\pi\) |
0.956783 | + | 0.290804i | \(0.0939228\pi\) | |||||||
\(644\) | −11.7970 | + | 12.0118i | −0.464868 | + | 0.473330i | ||||
\(645\) | 3.57620 | + | 14.1218i | 0.140813 | + | 0.556045i | ||||
\(646\) | −6.28373 | −0.247230 | ||||||||
\(647\) | 15.5033 | + | 26.8525i | 0.609498 | + | 1.05568i | 0.991323 | + | 0.131447i | \(0.0419622\pi\) |
−0.381826 | + | 0.924234i | \(0.624704\pi\) | |||||||
\(648\) | −26.0712 | − | 1.43785i | −1.02418 | − | 0.0564842i | ||||
\(649\) | 3.80868 | − | 6.59683i | 0.149504 | − | 0.258948i | ||||
\(650\) | −0.244051 | − | 0.422710i | −0.00957249 | − | 0.0165800i | ||||
\(651\) | 15.9181 | + | 9.29154i | 0.623880 | + | 0.364164i | ||||
\(652\) | 8.57227 | − | 14.8476i | 0.335716 | − | 0.581477i | ||||
\(653\) | 20.1569 | + | 34.9127i | 0.788799 | + | 1.36624i | 0.926703 | + | 0.375794i | \(0.122630\pi\) |
−0.137905 | + | 0.990446i | \(0.544037\pi\) | |||||||
\(654\) | 19.4734 | + | 5.50645i | 0.761471 | + | 0.215319i | ||||
\(655\) | 4.01060 | − | 6.94657i | 0.156707 | − | 0.271425i | ||||
\(656\) | 1.46863 | − | 2.54375i | 0.0573405 | − | 0.0993166i | ||||
\(657\) | −11.1922 | + | 6.05705i | −0.436648 | + | 0.236308i | ||||
\(658\) | −7.44463 | − | 26.8141i | −0.290222 | − | 1.04532i | ||||
\(659\) | −8.37378 | − | 14.5038i | −0.326196 | − | 0.564988i | 0.655558 | − | 0.755145i | \(-0.272434\pi\) |
−0.981754 | + | 0.190157i | \(0.939100\pi\) | |||||||
\(660\) | 3.00005 | − | 2.91853i | 0.116777 | − | 0.113604i | ||||
\(661\) | −7.82431 | −0.304330 | −0.152165 | − | 0.988355i | \(-0.548625\pi\) | ||||
−0.152165 | + | 0.988355i | \(0.548625\pi\) | |||||||
\(662\) | −6.29255 | −0.244567 | ||||||||
\(663\) | 5.44098 | − | 5.29312i | 0.211310 | − | 0.205568i | ||||
\(664\) | −20.9043 | − | 36.2073i | −0.811244 | − | 1.40512i | ||||
\(665\) | −2.59431 | − | 9.34420i | −0.100603 | − | 0.362352i | ||||
\(666\) | 3.59570 | + | 2.21022i | 0.139331 | + | 0.0856442i | ||||
\(667\) | 28.1872 | − | 48.8217i | 1.09141 | − | 1.89038i | ||||
\(668\) | 5.34105 | − | 9.25096i | 0.206651 | − | 0.357930i | ||||
\(669\) | −29.6336 | − | 8.37942i | −1.14570 | − | 0.323967i | ||||
\(670\) | −5.98424 | − | 10.3650i | −0.231192 | − | 0.400436i | ||||
\(671\) | 0.223821 | − | 0.387669i | 0.00864051 | − | 0.0149658i | ||||
\(672\) | −21.6482 | − | 12.6362i | −0.835098 | − | 0.487453i | ||||
\(673\) | 8.26302 | + | 14.3120i | 0.318516 | + | 0.551686i | 0.980179 | − | 0.198116i | \(-0.0634822\pi\) |
−0.661663 | + | 0.749802i | \(0.730149\pi\) | |||||||
\(674\) | 2.21176 | − | 3.83088i | 0.0851939 | − | 0.147560i | ||||
\(675\) | −2.69028 | + | 0.602949i | −0.103549 | + | 0.0232075i | ||||
\(676\) | 0.576866 | + | 0.999161i | 0.0221871 | + | 0.0384293i | ||||
\(677\) | −1.18695 | −0.0456181 | −0.0228090 | − | 0.999740i | \(-0.507261\pi\) | ||||
−0.0228090 | + | 0.999740i | \(0.507261\pi\) | |||||||
\(678\) | −0.330793 | − | 1.30624i | −0.0127040 | − | 0.0501660i | ||||
\(679\) | 32.3879 | − | 32.9774i | 1.24293 | − | 1.26556i | ||||
\(680\) | −14.9508 | + | 25.8956i | −0.573338 | + | 0.993051i | ||||
\(681\) | −3.60849 | − | 14.2493i | −0.138278 | − | 0.546034i | ||||
\(682\) | 1.64766 | − | 2.85383i | 0.0630921 | − | 0.109279i | ||||
\(683\) | −12.3761 | − | 21.4361i | −0.473560 | − | 0.820230i | 0.525982 | − | 0.850496i | \(-0.323698\pi\) |
−0.999542 | + | 0.0302659i | \(0.990365\pi\) | |||||||
\(684\) | −4.59578 | − | 2.82495i | −0.175724 | − | 0.108015i | ||||
\(685\) | −7.02531 | −0.268423 | ||||||||
\(686\) | −12.3687 | − | 11.7169i | −0.472239 | − | 0.447353i | ||||
\(687\) | 49.3378 | + | 13.9511i | 1.88236 | + | 0.532269i | ||||
\(688\) | −0.646321 | − | 1.11946i | −0.0246408 | − | 0.0426790i | ||||
\(689\) | 4.68014 | 0.178299 | ||||||||
\(690\) | −5.07366 | − | 20.0350i | −0.193151 | − | 0.762719i | ||||
\(691\) | −48.8972 | −1.86014 | −0.930069 | − | 0.367386i | \(-0.880253\pi\) | ||||
−0.930069 | + | 0.367386i | \(0.880253\pi\) | |||||||
\(692\) | −14.6981 | −0.558738 | ||||||||
\(693\) | 1.95581 | − | 6.79314i | 0.0742951 | − | 0.258050i | ||||
\(694\) | −11.5453 | −0.438254 | ||||||||
\(695\) | −44.0613 | −1.67134 | ||||||||
\(696\) | 49.4233 | + | 13.9753i | 1.87339 | + | 0.529733i | ||||
\(697\) | 35.6153 | 1.34903 | ||||||||
\(698\) | 6.98491 | + | 12.0982i | 0.264383 | + | 0.457924i | ||||
\(699\) | −0.881095 | − | 3.47929i | −0.0333261 | − | 0.131599i | ||||
\(700\) | −1.56814 | − | 0.405061i | −0.0592702 | − | 0.0153099i | ||||
\(701\) | 1.18495 | 0.0447551 | 0.0223776 | − | 0.999750i | \(-0.492876\pi\) | ||||
0.0223776 | + | 0.999750i | \(0.492876\pi\) | |||||||
\(702\) | −4.66438 | + | 1.04539i | −0.176046 | + | 0.0394556i | ||||
\(703\) | 1.19182 | + | 2.06429i | 0.0449502 | + | 0.0778560i | ||||
\(704\) | −2.56268 | + | 4.43869i | −0.0965846 | + | 0.167289i | ||||
\(705\) | −44.8154 | − | 12.6723i | −1.68785 | − | 0.477268i | ||||
\(706\) | −2.86813 | + | 4.96775i | −0.107944 | + | 0.186964i | ||||
\(707\) | 3.34829 | + | 0.864885i | 0.125926 | + | 0.0325273i | ||||
\(708\) | −12.2507 | + | 11.9178i | −0.460411 | + | 0.447899i | ||||
\(709\) | 1.47303 | 0.0553207 | 0.0276603 | − | 0.999617i | \(-0.491194\pi\) | ||||
0.0276603 | + | 0.999617i | \(0.491194\pi\) | |||||||
\(710\) | 2.12712 | + | 3.68429i | 0.0798295 | + | 0.138269i | ||||
\(711\) | 0.139288 | − | 5.05499i | 0.00522370 | − | 0.189577i | ||||
\(712\) | −3.06080 | + | 5.30146i | −0.114708 | + | 0.198681i | ||||
\(713\) | 11.0919 | + | 19.2118i | 0.415396 | + | 0.719486i | ||||
\(714\) | −0.0878549 | + | 18.4752i | −0.00328789 | + | 0.691418i | ||||
\(715\) | 1.04725 | − | 1.81388i | 0.0391648 | − | 0.0678353i | ||||
\(716\) | −7.41190 | − | 12.8378i | −0.276996 | − | 0.479771i | ||||
\(717\) | 11.8162 | + | 46.6599i | 0.441282 | + | 1.74255i | ||||
\(718\) | −3.56142 | + | 6.16856i | −0.132911 | + | 0.230209i | ||||
\(719\) | −12.0381 | + | 20.8507i | −0.448947 | + | 0.777598i | −0.998318 | − | 0.0579801i | \(-0.981534\pi\) |
0.549371 | + | 0.835578i | \(0.314867\pi\) | |||||||
\(720\) | 2.24267 | − | 1.21370i | 0.0835793 | − | 0.0452320i | ||||
\(721\) | 29.9740 | − | 30.5196i | 1.11629 | − | 1.13661i | ||||
\(722\) | −7.62197 | − | 13.2016i | −0.283661 | − | 0.491314i | ||||
\(723\) | −0.0373649 | − | 0.147547i | −0.00138961 | − | 0.00548734i | ||||
\(724\) | 19.1816 | 0.712878 | ||||||||
\(725\) | 5.42317 | 0.201411 | ||||||||
\(726\) | 15.6495 | + | 4.42517i | 0.580808 | + | 0.164234i | ||||
\(727\) | 20.4028 | + | 35.3387i | 0.756699 | + | 1.31064i | 0.944525 | + | 0.328438i | \(0.106522\pi\) |
−0.187827 | + | 0.982202i | \(0.560144\pi\) | |||||||
\(728\) | −7.43194 | − | 1.91972i | −0.275446 | − | 0.0711494i | ||||
\(729\) | −2.22881 | + | 26.9079i | −0.0825485 | + | 0.996587i | ||||
\(730\) | 4.58863 | − | 7.94773i | 0.169833 | − | 0.294159i | ||||
\(731\) | 7.83686 | − | 13.5738i | 0.289857 | − | 0.502046i | ||||
\(732\) | −0.719927 | + | 0.700363i | −0.0266093 | + | 0.0258862i | ||||
\(733\) | 6.33462 | + | 10.9719i | 0.233975 | + | 0.405256i | 0.958974 | − | 0.283493i | \(-0.0914934\pi\) |
−0.725000 | + | 0.688749i | \(0.758160\pi\) | |||||||
\(734\) | 2.08906 | − | 3.61836i | 0.0771087 | − | 0.133556i | ||||
\(735\) | −27.5098 | + | 7.49708i | −1.01471 | + | 0.276534i | ||||
\(736\) | −15.0847 | − | 26.1275i | −0.556030 | − | 0.963072i | ||||
\(737\) | 2.46356 | − | 4.26700i | 0.0907462 | − | 0.157177i | ||||
\(738\) | −19.1066 | − | 11.7445i | −0.703322 | − | 0.432320i | ||||
\(739\) | 14.7739 | + | 25.5891i | 0.543467 | + | 0.941312i | 0.998702 | + | 0.0509406i | \(0.0162219\pi\) |
−0.455235 | + | 0.890371i | \(0.650445\pi\) | |||||||
\(740\) | 4.14952 | 0.152539 | ||||||||
\(741\) | −2.59770 | − | 0.734546i | −0.0954290 | − | 0.0269842i | ||||
\(742\) | −7.98169 | + | 8.12697i | −0.293017 | + | 0.298350i | ||||
\(743\) | 2.89933 | − | 5.02179i | 0.106366 | − | 0.184232i | −0.807929 | − | 0.589279i | \(-0.799412\pi\) |
0.914296 | + | 0.405048i | \(0.132745\pi\) | |||||||
\(744\) | −14.4869 | + | 14.0932i | −0.531115 | + | 0.516682i | ||||
\(745\) | 13.0060 | − | 22.5271i | 0.476504 | − | 0.825329i | ||||
\(746\) | −5.63581 | − | 9.76151i | −0.206342 | − | 0.357394i | ||||
\(747\) | −38.0214 | + | 20.5767i | −1.39113 | + | 0.752861i | ||||
\(748\) | −4.50328 | −0.164656 | ||||||||
\(749\) | 39.8032 | + | 10.2814i | 1.45438 | + | 0.375675i | ||||
\(750\) | −12.0043 | + | 11.6781i | −0.438334 | + | 0.426423i | ||||
\(751\) | −17.3734 | − | 30.0916i | −0.633963 | − | 1.09806i | −0.986734 | − | 0.162347i | \(-0.948094\pi\) |
0.352770 | − | 0.935710i | \(-0.385240\pi\) | |||||||
\(752\) | 4.13258 | 0.150700 | ||||||||
\(753\) | 23.2846 | − | 22.6518i | 0.848536 | − | 0.825477i | ||||
\(754\) | 9.40264 | 0.342424 | ||||||||
\(755\) | −6.85347 | −0.249423 | ||||||||
\(756\) | −8.37009 | + | 13.4729i | −0.304417 | + | 0.490004i | ||||
\(757\) | 31.3112 | 1.13802 | 0.569012 | − | 0.822329i | \(-0.307326\pi\) | ||||
0.569012 | + | 0.822329i | \(0.307326\pi\) | |||||||
\(758\) | −7.69067 | −0.279338 | ||||||||
\(759\) | 6.09853 | − | 5.93280i | 0.221362 | − | 0.215347i | ||||
\(760\) | 10.6340 | 0.385736 | ||||||||
\(761\) | −11.7886 | − | 20.4185i | −0.427337 | − | 0.740169i | 0.569299 | − | 0.822131i | \(-0.307215\pi\) |
−0.996635 | + | 0.0819619i | \(0.973881\pi\) | |||||||
\(762\) | 18.2873 | − | 17.7903i | 0.662479 | − | 0.644476i | ||||
\(763\) | 23.5457 | − | 23.9743i | 0.852413 | − | 0.867929i | ||||
\(764\) | −7.43326 | −0.268926 | ||||||||
\(765\) | 26.3414 | + | 16.1916i | 0.952376 | + | 0.585410i | ||||
\(766\) | −3.63035 | − | 6.28795i | −0.131170 | − | 0.227193i | ||||
\(767\) | −4.27643 | + | 7.40700i | −0.154413 | + | 0.267451i | ||||
\(768\) | 20.7372 | − | 20.1737i | 0.748289 | − | 0.727954i | ||||
\(769\) | 4.36059 | − | 7.55277i | 0.157247 | − | 0.272360i | −0.776628 | − | 0.629960i | \(-0.783071\pi\) |
0.933875 | + | 0.357600i | \(0.116405\pi\) | |||||||
\(770\) | 1.36376 | + | 4.91198i | 0.0491464 | + | 0.177016i | ||||
\(771\) | −2.97317 | − | 0.840715i | −0.107076 | − | 0.0302776i | ||||
\(772\) | 21.7178 | 0.781642 | ||||||||
\(773\) | 10.3067 | + | 17.8517i | 0.370707 | + | 0.642083i | 0.989674 | − | 0.143334i | \(-0.0457822\pi\) |
−0.618968 | + | 0.785416i | \(0.712449\pi\) | |||||||
\(774\) | −8.68034 | + | 4.69768i | −0.312008 | + | 0.168855i | ||||
\(775\) | −1.06703 | + | 1.84815i | −0.0383289 | + | 0.0663877i | ||||
\(776\) | 25.3425 | + | 43.8945i | 0.909744 | + | 1.57572i | ||||
\(777\) | 6.08602 | − | 3.47528i | 0.218335 | − | 0.124675i | ||||
\(778\) | 5.48622 | − | 9.50241i | 0.196691 | − | 0.340678i | ||||
\(779\) | −6.33297 | − | 10.9690i | −0.226902 | − | 0.393006i | ||||
\(780\) | −3.36850 | + | 3.27696i | −0.120612 | + | 0.117334i | ||||
\(781\) | −0.875681 | + | 1.51672i | −0.0313343 | + | 0.0542726i | ||||
\(782\) | −11.1184 | + | 19.2576i | −0.397592 | + | 0.688650i | ||||
\(783\) | 15.8534 | − | 50.6888i | 0.566554 | − | 1.81147i | ||||
\(784\) | 2.16795 | − | 1.30436i | 0.0774267 | − | 0.0465842i | ||||
\(785\) | 20.8575 | + | 36.1263i | 0.744437 | + | 1.28940i | ||||
\(786\) | 5.22957 | + | 1.47875i | 0.186532 | + | 0.0527453i | ||||
\(787\) | 14.9745 | 0.533784 | 0.266892 | − | 0.963726i | \(-0.414003\pi\) | ||||
0.266892 | + | 0.963726i | \(0.414003\pi\) | |||||||
\(788\) | 13.3086 | 0.474100 | ||||||||
\(789\) | −5.76248 | − | 22.7550i | −0.205150 | − | 0.810100i | ||||
\(790\) | 1.82337 | + | 3.15816i | 0.0648725 | + | 0.112362i | ||||
\(791\) | −2.16636 | − | 0.559584i | −0.0770268 | − | 0.0198965i | ||||
\(792\) | 6.60380 | + | 4.05925i | 0.234656 | + | 0.144239i | ||||
\(793\) | −0.251309 | + | 0.435280i | −0.00892424 | + | 0.0154572i | ||||
\(794\) | 1.00917 | − | 1.74794i | 0.0358142 | − | 0.0620320i | ||||
\(795\) | 4.67993 | + | 18.4802i | 0.165980 | + | 0.655427i | ||||
\(796\) | 7.76470 | + | 13.4489i | 0.275213 | + | 0.476682i | ||||
\(797\) | −7.12448 | + | 12.3400i | −0.252362 | + | 0.437104i | −0.964176 | − | 0.265265i | \(-0.914541\pi\) |
0.711814 | + | 0.702368i | \(0.247874\pi\) | |||||||
\(798\) | 5.70574 | − | 3.25813i | 0.201981 | − | 0.115337i | ||||
\(799\) | 25.0545 | + | 43.3956i | 0.886364 | + | 1.53523i | ||||
\(800\) | 1.45114 | − | 2.51344i | 0.0513054 | − | 0.0888635i | ||||
\(801\) | 5.39273 | + | 3.31482i | 0.190543 | + | 0.117124i | ||||
\(802\) | 12.9183 | + | 22.3751i | 0.456159 | + | 0.790091i | ||||
\(803\) | 3.77803 | 0.133324 | ||||||||
\(804\) | −7.92410 | + | 7.70877i | −0.279462 | + | 0.271867i | ||||
\(805\) | −33.2273 | − | 8.58282i | −1.17111 | − | 0.302505i | ||||
\(806\) | −1.85001 | + | 3.20432i | −0.0651639 | + | 0.112867i | ||||
\(807\) | 14.3548 | + | 4.05908i | 0.505315 | + | 0.142887i | ||||
\(808\) | −1.89605 | + | 3.28405i | −0.0667027 | + | 0.115532i | ||||
\(809\) | −21.8571 | − | 37.8575i | −0.768453 | − | 1.33100i | −0.938401 | − | 0.345547i | \(-0.887693\pi\) |
0.169948 | − | 0.985453i | \(-0.445640\pi\) | |||||||
\(810\) | −8.79204 | − | 17.3727i | −0.308921 | − | 0.610413i | ||||
\(811\) | −50.4077 | −1.77005 | −0.885027 | − | 0.465540i | \(-0.845860\pi\) | ||||
−0.885027 | + | 0.465540i | \(0.845860\pi\) | |||||||
\(812\) | 21.8616 | − | 22.2595i | 0.767192 | − | 0.781156i | ||||
\(813\) | 8.94238 | + | 35.3119i | 0.313623 | + | 1.23844i | ||||
\(814\) | −0.626504 | − | 1.08514i | −0.0219590 | − | 0.0380340i | ||||
\(815\) | 34.9467 | 1.22413 | ||||||||
\(816\) | −2.64013 | − | 0.746544i | −0.0924231 | − | 0.0261343i | ||||
\(817\) | −5.57408 | −0.195012 | ||||||||
\(818\) | 30.8311 | 1.07798 | ||||||||
\(819\) | −2.19601 | + | 7.62742i | −0.0767348 | + | 0.266524i | ||||
\(820\) | −22.0494 | −0.769997 | ||||||||
\(821\) | −52.4248 | −1.82964 | −0.914819 | − | 0.403865i | \(-0.867667\pi\) | ||||
−0.914819 | + | 0.403865i | \(0.867667\pi\) | |||||||
\(822\) | −1.16850 | − | 4.61420i | −0.0407561 | − | 0.160939i | ||||
\(823\) | 4.88854 | 0.170404 | 0.0852019 | − | 0.996364i | \(-0.472846\pi\) | ||||
0.0852019 | + | 0.996364i | \(0.472846\pi\) | |||||||
\(824\) | 23.4537 | + | 40.6231i | 0.817050 | + | 1.41517i | ||||
\(825\) | 0.787603 | + | 0.222709i | 0.0274208 | + | 0.00775372i | ||||
\(826\) | −5.56891 | − | 20.0581i | −0.193767 | − | 0.697911i | ||||
\(827\) | −8.10961 | −0.281999 | −0.140999 | − | 0.990010i | \(-0.545032\pi\) | ||||
−0.140999 | + | 0.990010i | \(0.545032\pi\) | |||||||
\(828\) | −16.7893 | + | 9.08614i | −0.583469 | + | 0.315765i | ||||
\(829\) | 9.33525 | + | 16.1691i | 0.324227 | + | 0.561577i | 0.981356 | − | 0.192201i | \(-0.0615626\pi\) |
−0.657129 | + | 0.753778i | \(0.728229\pi\) | |||||||
\(830\) | 15.5882 | − | 26.9996i | 0.541075 | − | 0.937170i | ||||
\(831\) | 0.989336 | + | 3.90671i | 0.0343197 | + | 0.135522i | ||||
\(832\) | 2.87741 | − | 4.98381i | 0.0997561 | − | 0.172783i | ||||
\(833\) | 26.8404 | + | 14.8574i | 0.929964 | + | 0.514778i | ||||
\(834\) | −7.32861 | − | 28.9394i | −0.253769 | − | 1.00209i | ||||
\(835\) | 21.7740 | 0.753519 | ||||||||
\(836\) | 0.800755 | + | 1.38695i | 0.0276947 | + | 0.0479686i | ||||
\(837\) | 14.1550 | + | 15.3759i | 0.489267 | + | 0.531469i | ||||
\(838\) | 16.3045 | − | 28.2403i | 0.563230 | − | 0.975544i | ||||
\(839\) | −18.3244 | − | 31.7388i | −0.632629 | − | 1.09575i | −0.987012 | − | 0.160646i | \(-0.948642\pi\) |
0.354383 | − | 0.935100i | \(-0.384691\pi\) | |||||||
\(840\) | 0.148677 | − | 31.2658i | 0.00512986 | − | 1.07877i | ||||
\(841\) | −37.7350 | + | 65.3589i | −1.30121 | + | 2.25375i | ||||
\(842\) | −5.65946 | − | 9.80247i | −0.195038 | − | 0.337815i | ||||
\(843\) | 21.4582 | + | 6.06767i | 0.739059 | + | 0.208982i | ||||
\(844\) | −11.3824 | + | 19.7148i | −0.391797 | + | 0.678612i | ||||
\(845\) | −1.17586 | + | 2.03665i | −0.0404508 | + | 0.0700629i | ||||
\(846\) | 0.869135 | − | 31.5424i | 0.0298815 | − | 1.08445i | ||||
\(847\) | 18.9222 | − | 19.2666i | 0.650174 | − | 0.662008i | ||||
\(848\) | −0.845797 | − | 1.46496i | −0.0290448 | − | 0.0503071i | ||||
\(849\) | 36.0343 | − | 35.0551i | 1.23669 | − | 1.20309i | ||||
\(850\) | −2.13916 | −0.0733724 | ||||||||
\(851\) | 8.43516 | 0.289154 | ||||||||
\(852\) | 2.81665 | − | 2.74011i | 0.0964970 | − | 0.0938747i | ||||
\(853\) | 5.20839 | + | 9.02120i | 0.178332 | + | 0.308880i | 0.941309 | − | 0.337545i | \(-0.109597\pi\) |
−0.762977 | + | 0.646425i | \(0.776263\pi\) | |||||||
\(854\) | −0.327263 | − | 1.17874i | −0.0111987 | − | 0.0403355i | ||||
\(855\) | 0.302877 | − | 10.9919i | 0.0103582 | − | 0.375916i | ||||
\(856\) | −22.5395 | + | 39.0395i | −0.770383 | + | 1.33434i | ||||
\(857\) | 2.30659 | − | 3.99514i | 0.0787917 | − | 0.136471i | −0.823937 | − | 0.566681i | \(-0.808227\pi\) |
0.902729 | + | 0.430210i | \(0.141560\pi\) | |||||||
\(858\) | 1.36554 | + | 0.386130i | 0.0466187 | + | 0.0131823i | ||||
\(859\) | −0.448524 | − | 0.776866i | −0.0153034 | − | 0.0265063i | 0.858272 | − | 0.513195i | \(-0.171538\pi\) |
−0.873576 | + | 0.486688i | \(0.838205\pi\) | |||||||
\(860\) | −4.85178 | + | 8.40353i | −0.165444 | + | 0.286558i | ||||
\(861\) | −32.3394 | + | 18.4667i | −1.10212 | + | 0.629342i | ||||
\(862\) | −10.0330 | − | 17.3777i | −0.341726 | − | 0.591887i | ||||
\(863\) | 3.15345 | − | 5.46194i | 0.107345 | − | 0.185926i | −0.807349 | − | 0.590074i | \(-0.799098\pi\) |
0.914694 | + | 0.404148i | \(0.132432\pi\) | |||||||
\(864\) | −19.2504 | − | 20.9108i | −0.654911 | − | 0.711401i | ||||
\(865\) | −14.9800 | − | 25.9462i | −0.509336 | − | 0.882196i | ||||
\(866\) | −21.3254 | −0.724665 | ||||||||
\(867\) | −0.938470 | − | 3.70585i | −0.0318721 | − | 0.125857i | ||||
\(868\) | 3.28443 | + | 11.8299i | 0.111481 | + | 0.401532i | ||||
\(869\) | −0.750632 | + | 1.30013i | −0.0254634 | + | 0.0441040i | ||||
\(870\) | 9.40223 | + | 37.1277i | 0.318765 | + | 1.25875i | ||||
\(871\) | −2.76611 | + | 4.79104i | −0.0937261 | + | 0.162338i | ||||
\(872\) | 18.4238 | + | 31.9110i | 0.623909 | + | 1.08064i | ||||
\(873\) | 46.0938 | − | 24.9453i | 1.56004 | − | 0.844272i | ||||
\(874\) | 7.90810 | 0.267496 | ||||||||
\(875\) | 7.43945 | + | 26.7954i | 0.251499 | + | 0.905850i | ||||
\(876\) | −8.15708 | − | 2.30656i | −0.275602 | − | 0.0779314i | ||||
\(877\) | 7.36529 | + | 12.7571i | 0.248708 | + | 0.430775i | 0.963168 | − | 0.268902i | \(-0.0866607\pi\) |
−0.714459 | + | 0.699677i | \(0.753327\pi\) | |||||||
\(878\) | 23.7391 | 0.801157 | ||||||||
\(879\) | −1.72092 | − | 6.79561i | −0.0580452 | − | 0.229210i | ||||
\(880\) | −0.757035 | −0.0255196 | ||||||||
\(881\) | 6.12069 | 0.206211 | 0.103106 | − | 0.994670i | \(-0.467122\pi\) | ||||
0.103106 | + | 0.994670i | \(0.467122\pi\) | |||||||
\(882\) | −9.49970 | − | 16.8214i | −0.319872 | − | 0.566407i | ||||
\(883\) | −52.9297 | −1.78123 | −0.890614 | − | 0.454761i | \(-0.849725\pi\) | ||||
−0.890614 | + | 0.454761i | \(0.849725\pi\) | |||||||
\(884\) | 5.05633 | 0.170063 | ||||||||
\(885\) | −33.5239 | − | 9.47947i | −1.12689 | − | 0.318649i | ||||
\(886\) | 14.1925 | 0.476807 | ||||||||
\(887\) | −20.4432 | − | 35.4087i | −0.686415 | − | 1.18891i | −0.972990 | − | 0.230848i | \(-0.925850\pi\) |
0.286574 | − | 0.958058i | \(-0.407483\pi\) | |||||||
\(888\) | 1.88661 | + | 7.44988i | 0.0633103 | + | 0.250001i | ||||
\(889\) | −11.3332 | − | 40.8201i | −0.380105 | − | 1.36906i | ||||
\(890\) | −4.56485 | −0.153014 | ||||||||
\(891\) | 4.38397 | − | 6.71047i | 0.146869 | − | 0.224809i | ||||
\(892\) | −10.2566 | − | 17.7649i | −0.343415 | − | 0.594813i | ||||
\(893\) | 8.91018 | − | 15.4329i | 0.298168 | − | 0.516442i | ||||
\(894\) | 16.9590 | + | 4.79545i | 0.567194 | + | 0.160384i | ||||
\(895\) | 15.1081 | − | 26.1680i | 0.505009 | − | 0.874701i | ||||
\(896\) | −3.99605 | − | 14.3930i | −0.133499 | − | 0.480836i | ||||
\(897\) | −6.84750 | + | 6.66142i | −0.228631 | + | 0.222418i | ||||
\(898\) | −33.2546 | −1.10972 | ||||||||
\(899\) | −20.5549 | − | 35.6022i | −0.685546 | − | 1.18740i | ||||
\(900\) | −1.56453 | − | 0.961692i | −0.0521511 | − | 0.0320564i | ||||
\(901\) | 10.2556 | − | 17.7632i | 0.341663 | − | 0.591777i | ||||
\(902\) | 3.32907 | + | 5.76611i | 0.110846 | + | 0.191991i | ||||
\(903\) | −0.0779330 | + | 16.3887i | −0.00259345 | + | 0.545383i | ||||
\(904\) | 1.22675 | − | 2.12479i | 0.0408011 | − | 0.0706695i | ||||
\(905\) | 19.5495 | + | 33.8607i | 0.649847 | + | 1.12557i | ||||
\(906\) | −1.13992 | − | 4.50135i | −0.0378713 | − | 0.149547i | ||||
\(907\) | 20.5944 | − | 35.6705i | 0.683825 | − | 1.18442i | −0.289980 | − | 0.957033i | \(-0.593649\pi\) |
0.973805 | − | 0.227387i | \(-0.0730181\pi\) | |||||||
\(908\) | 4.89559 | − | 8.47941i | 0.162466 | − | 0.281399i | ||||
\(909\) | 3.34059 | + | 2.05340i | 0.110800 | + | 0.0681071i | ||||
\(910\) | −1.53124 | − | 5.51524i | −0.0507602 | − | 0.182828i | ||||
\(911\) | −1.35254 | − | 2.34267i | −0.0448117 | − | 0.0776161i | 0.842750 | − | 0.538306i | \(-0.180935\pi\) |
−0.887561 | + | 0.460690i | \(0.847602\pi\) | |||||||
\(912\) | 0.239533 | + | 0.945873i | 0.00793172 | + | 0.0313210i | ||||
\(913\) | 12.8345 | 0.424761 | ||||||||
\(914\) | 18.4398 | 0.609934 | ||||||||
\(915\) | −1.97007 | − | 0.557071i | −0.0651284 | − | 0.0184162i | ||||
\(916\) | 17.0764 | + | 29.5773i | 0.564222 | + | 0.977261i | ||||
\(917\) | 6.32319 | − | 6.43828i | 0.208810 | − | 0.212611i | ||||
\(918\) | −6.25333 | + | 19.9941i | −0.206391 | + | 0.659904i | ||||
\(919\) | 15.0159 | − | 26.0083i | 0.495329 | − | 0.857935i | −0.504657 | − | 0.863320i | \(-0.668381\pi\) |
0.999985 | + | 0.00538539i | \(0.00171423\pi\) | |||||||
\(920\) | 18.8157 | − | 32.5898i | 0.620336 | − | 1.07445i | ||||
\(921\) | 5.72311 | − | 5.56758i | 0.188583 | − | 0.183458i | ||||
\(922\) | 4.28205 | + | 7.41673i | 0.141022 | + | 0.244257i | ||||
\(923\) | 0.983225 | − | 1.70300i | 0.0323633 | − | 0.0560548i | ||||
\(924\) | 4.08906 | − | 2.33497i | 0.134520 | − | 0.0768147i | ||||
\(925\) | 0.405727 | + | 0.702740i | 0.0133402 | + | 0.0231060i | ||||
\(926\) | 7.17999 | − | 12.4361i | 0.235949 | − | 0.408676i | ||||
\(927\) | 42.6584 | − | 23.0862i | 1.40109 | − | 0.758249i | ||||
\(928\) | 27.9541 | + | 48.4180i | 0.917640 | + | 1.58940i | ||||
\(929\) | 51.0968 | 1.67643 | 0.838216 | − | 0.545338i | \(-0.183599\pi\) | ||||
0.838216 | + | 0.545338i | \(0.183599\pi\) | |||||||
\(930\) | −14.5027 | − | 4.10088i | −0.475561 | − | 0.134473i | ||||
\(931\) | −0.196776 | − | 10.9084i | −0.00644907 | − | 0.357507i | ||||
\(932\) | 1.19537 | − | 2.07044i | 0.0391556 | − | 0.0678195i | ||||
\(933\) | −6.81137 | + | 6.62627i | −0.222994 | + | 0.216934i | ||||
\(934\) | −19.3003 | + | 33.4292i | −0.631527 | + | 1.09384i | ||||
\(935\) | −4.58965 | − | 7.94951i | −0.150098 | − | 0.259977i | ||||
\(936\) | −7.41483 | − | 4.55778i | −0.242361 | − | 0.148976i | ||||
\(937\) | 8.55313 | 0.279419 | 0.139709 | − | 0.990193i | \(-0.455383\pi\) | ||||
0.139709 | + | 0.990193i | \(0.455383\pi\) | |||||||
\(938\) | −3.60212 | − | 12.9741i | −0.117613 | − | 0.423620i | ||||
\(939\) | 18.0780 | − | 17.5868i | 0.589954 | − | 0.573922i | ||||
\(940\) | −15.5112 | − | 26.8661i | −0.505919 | − | 0.876277i | ||||
\(941\) | −0.496939 | −0.0161997 | −0.00809987 | − | 0.999967i | \(-0.502578\pi\) | ||||
−0.00809987 | + | 0.999967i | \(0.502578\pi\) | |||||||
\(942\) | −20.2585 | + | 19.7080i | −0.660057 | + | 0.642120i | ||||
\(943\) | −44.8221 | −1.45961 | ||||||||
\(944\) | 3.09136 | 0.100615 | ||||||||
\(945\) | −32.3139 | − | 1.04419i | −1.05117 | − | 0.0339676i | ||||
\(946\) | 2.93014 | 0.0952669 | ||||||||
\(947\) | −48.9953 | −1.59213 | −0.796067 | − | 0.605208i | \(-0.793090\pi\) | ||||
−0.796067 | + | 0.605208i | \(0.793090\pi\) | |||||||
\(948\) | 2.41443 | − | 2.34882i | 0.0784171 | − | 0.0762861i | ||||
\(949\) | −4.24202 | −0.137702 | ||||||||
\(950\) | 0.380376 | + | 0.658831i | 0.0123410 | + | 0.0213753i | ||||
\(951\) | 26.5492 | − | 25.8278i | 0.860918 | − | 0.837523i | ||||
\(952\) | −23.5717 | + | 24.0008i | −0.763965 | + | 0.777870i | ||||
\(953\) | −59.0964 | −1.91432 | −0.957161 | − | 0.289557i | \(-0.906492\pi\) | ||||
−0.957161 | + | 0.289557i | \(0.906492\pi\) | |||||||
\(954\) | −11.3594 | + | 6.14754i | −0.367773 | + | 0.199034i | ||||
\(955\) | −7.57583 | − | 13.1217i | −0.245148 | − | 0.424609i | ||||
\(956\) | −16.0308 | + | 27.7662i | −0.518474 | + | 0.898023i | ||||
\(957\) | −11.3015 | + | 10.9943i | −0.365324 | + | 0.355396i | ||||
\(958\) | 3.01371 | − | 5.21990i | 0.0973685 | − | 0.168647i | ||||
\(959\) | −7.65249 | − | 1.97669i | −0.247112 | − | 0.0638305i | ||||
\(960\) | 22.5566 | + | 6.37828i | 0.728012 | + | 0.205858i | ||||
\(961\) | −14.8229 | −0.478158 | ||||||||
\(962\) | 0.703447 | + | 1.21841i | 0.0226800 | + | 0.0392830i | ||||
\(963\) | 39.7116 | + | 24.4101i | 1.27969 | + | 0.786603i | ||||
\(964\) | 0.0506924 | − | 0.0878018i | 0.00163269 | − | 0.00282791i | ||||
\(965\) | 22.1344 | + | 38.3379i | 0.712531 | + | 1.23414i | ||||
\(966\) | 0.110566 | − | 23.2512i | 0.00355740 | − | 0.748095i | ||||
\(967\) | −11.6586 | + | 20.1934i | −0.374917 | + | 0.649375i | −0.990315 | − | 0.138842i | \(-0.955662\pi\) |
0.615398 | + | 0.788217i | \(0.288995\pi\) | |||||||
\(968\) | 14.8060 | + | 25.6448i | 0.475883 | + | 0.824254i | ||||
\(969\) | −8.48026 | + | 8.24981i | −0.272425 | + | 0.265022i | ||||
\(970\) | −18.8978 | + | 32.7319i | −0.606771 | + | 1.05096i | ||||
\(971\) | −19.6700 | + | 34.0695i | −0.631241 | + | 1.09334i | 0.356057 | + | 0.934464i | \(0.384121\pi\) |
−0.987298 | + | 0.158878i | \(0.949212\pi\) | |||||||
\(972\) | −13.5622 | + | 11.8120i | −0.435008 | + | 0.378869i | ||||
\(973\) | −47.9949 | − | 12.3974i | −1.53865 | − | 0.397442i | ||||
\(974\) | 5.55162 | + | 9.61568i | 0.177885 | + | 0.308106i | ||||
\(975\) | −0.884330 | − | 0.250060i | −0.0283212 | − | 0.00800833i | ||||
\(976\) | 0.181667 | 0.00581501 | ||||||||
\(977\) | −7.01823 | −0.224533 | −0.112267 | − | 0.993678i | \(-0.535811\pi\) | ||||
−0.112267 | + | 0.993678i | \(0.535811\pi\) | |||||||
\(978\) | 5.81260 | + | 22.9529i | 0.185866 | + | 0.733954i | ||||
\(979\) | −0.939613 | − | 1.62746i | −0.0300302 | − | 0.0520138i | ||||
\(980\) | −16.6168 | − | 9.19818i | −0.530805 | − | 0.293825i | ||||
\(981\) | 33.5098 | − | 18.1351i | 1.06989 | − | 0.579008i | ||||
\(982\) | −13.3809 | + | 23.1764i | −0.427001 | + | 0.739587i | ||||
\(983\) | 2.60590 | − | 4.51354i | 0.0831152 | − | 0.143960i | −0.821471 | − | 0.570250i | \(-0.806846\pi\) |
0.904586 | + | 0.426290i | \(0.140180\pi\) | |||||||
\(984\) | −10.0249 | − | 39.5866i | −0.319582 | − | 1.26197i | ||||
\(985\) | 13.5639 | + | 23.4933i | 0.432181 | + | 0.748559i | ||||
\(986\) | 20.6040 | − | 35.6871i | 0.656164 | − | 1.13651i | ||||
\(987\) | −45.2507 | − | 26.4132i | −1.44035 | − | 0.840742i | ||||
\(988\) | −0.899097 | − | 1.55728i | −0.0286041 | − | 0.0495438i | ||||
\(989\) | −9.86273 | + | 17.0827i | −0.313617 | + | 0.543200i | ||||
\(990\) | −0.159214 | + | 5.77815i | −0.00506015 | + | 0.183642i | ||||
\(991\) | 4.40660 | + | 7.63246i | 0.139980 | + | 0.242453i | 0.927489 | − | 0.373851i | \(-0.121963\pi\) |
−0.787509 | + | 0.616304i | \(0.788629\pi\) | |||||||
\(992\) | −22.0004 | −0.698514 | ||||||||
\(993\) | −8.49217 | + | 8.26140i | −0.269491 | + | 0.262167i | ||||
\(994\) | 1.28039 | + | 4.61170i | 0.0406115 | + | 0.146274i | ||||
\(995\) | −15.8273 | + | 27.4136i | −0.501758 | + | 0.869070i | ||||
\(996\) | −27.7108 | − | 7.83571i | −0.878050 | − | 0.248284i | ||||
\(997\) | −9.83491 | + | 17.0346i | −0.311475 | + | 0.539490i | −0.978682 | − | 0.205382i | \(-0.934156\pi\) |
0.667207 | + | 0.744872i | \(0.267490\pi\) | |||||||
\(998\) | 18.8561 | + | 32.6598i | 0.596880 | + | 1.03383i | ||||
\(999\) | 7.75437 | − | 1.73792i | 0.245337 | − | 0.0549854i |
(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 | 819.2.r.a.625.19 | yes | 96 | |
7.4 | even | 3 | 819.2.q.b.508.30 | yes | 96 | ||
9.7 | even | 3 | 819.2.q.b.79.30 | ✓ | 96 | ||
63.25 | even | 3 | inner | 819.2.r.a.781.19 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
819.2.q.b.79.30 | ✓ | 96 | 9.7 | even | 3 | ||
819.2.q.b.508.30 | yes | 96 | 7.4 | even | 3 | ||
819.2.r.a.625.19 | yes | 96 | 1.1 | even | 1 | trivial | |
819.2.r.a.781.19 | yes | 96 | 63.25 | even | 3 | inner |