Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.6 | ||
Character | \(\chi\) | \(=\) | 189.43 |
Dual form | 189.2.v.a.22.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.786541 | + | 0.659987i | 0.556169 | + | 0.466681i | 0.877024 | − | 0.480447i | \(-0.159526\pi\) |
−0.320855 | + | 0.947128i | \(0.603970\pi\) | |||||||
\(3\) | −0.244375 | + | 1.71472i | −0.141090 | + | 0.989997i | ||||
\(4\) | −0.164231 | − | 0.931402i | −0.0821157 | − | 0.465701i | ||||
\(5\) | 3.56827 | + | 1.29874i | 1.59578 | + | 0.580816i | 0.978557 | − | 0.205974i | \(-0.0660362\pi\) |
0.617221 | + | 0.786790i | \(0.288258\pi\) | |||||||
\(6\) | −1.32391 | + | 1.18742i | −0.540483 | + | 0.484761i | ||||
\(7\) | 0.173648 | − | 0.984808i | 0.0656328 | − | 0.372222i | ||||
\(8\) | 1.51229 | − | 2.61937i | 0.534677 | − | 0.926088i | ||||
\(9\) | −2.88056 | − | 0.838073i | −0.960187 | − | 0.279358i | ||||
\(10\) | 1.94944 | + | 3.37653i | 0.616466 | + | 1.06775i | ||||
\(11\) | −1.53871 | + | 0.560043i | −0.463937 | + | 0.168859i | −0.563404 | − | 0.826182i | \(-0.690509\pi\) |
0.0994668 | + | 0.995041i | \(0.468286\pi\) | |||||||
\(12\) | 1.63723 | − | 0.0539997i | 0.472628 | − | 0.0155884i | ||||
\(13\) | −4.81098 | + | 4.03689i | −1.33433 | + | 1.11963i | −0.351281 | + | 0.936270i | \(0.614254\pi\) |
−0.983045 | + | 0.183362i | \(0.941302\pi\) | |||||||
\(14\) | 0.786541 | − | 0.659987i | 0.210212 | − | 0.176389i | ||||
\(15\) | −3.09899 | + | 5.80122i | −0.800155 | + | 1.49787i | ||||
\(16\) | 1.14077 | − | 0.415205i | 0.285191 | − | 0.103801i | ||||
\(17\) | 0.424366 | + | 0.735023i | 0.102924 | + | 0.178269i | 0.912888 | − | 0.408210i | \(-0.133847\pi\) |
−0.809964 | + | 0.586479i | \(0.800514\pi\) | |||||||
\(18\) | −1.71256 | − | 2.56031i | −0.403655 | − | 0.603471i | ||||
\(19\) | 2.19397 | − | 3.80006i | 0.503330 | − | 0.871794i | −0.496662 | − | 0.867944i | \(-0.665441\pi\) |
0.999993 | − | 0.00384981i | \(-0.00122544\pi\) | |||||||
\(20\) | 0.623631 | − | 3.53679i | 0.139448 | − | 0.790850i | ||||
\(21\) | 1.64624 | + | 0.538422i | 0.359239 | + | 0.117493i | ||||
\(22\) | −1.57988 | − | 0.575028i | −0.336831 | − | 0.122596i | ||||
\(23\) | −0.517102 | − | 2.93263i | −0.107823 | − | 0.611496i | −0.990055 | − | 0.140681i | \(-0.955071\pi\) |
0.882232 | − | 0.470815i | \(-0.156040\pi\) | |||||||
\(24\) | 4.12193 | + | 3.23328i | 0.841386 | + | 0.659990i | ||||
\(25\) | 7.21559 | + | 6.05460i | 1.44312 | + | 1.21092i | ||||
\(26\) | −6.44833 | −1.26462 | ||||||||
\(27\) | 2.14100 | − | 4.73456i | 0.412036 | − | 0.911167i | ||||
\(28\) | −0.945770 | −0.178734 | ||||||||
\(29\) | −5.54559 | − | 4.65331i | −1.02979 | − | 0.864097i | −0.0389647 | − | 0.999241i | \(-0.512406\pi\) |
−0.990826 | + | 0.135144i | \(0.956850\pi\) | |||||||
\(30\) | −6.26621 | + | 2.51761i | −1.14405 | + | 0.459650i | ||||
\(31\) | −0.831089 | − | 4.71334i | −0.149268 | − | 0.846541i | −0.963841 | − | 0.266479i | \(-0.914140\pi\) |
0.814573 | − | 0.580062i | \(-0.196971\pi\) | |||||||
\(32\) | −4.51308 | − | 1.64263i | −0.797807 | − | 0.290378i | ||||
\(33\) | −0.584298 | − | 2.77532i | −0.101713 | − | 0.483121i | ||||
\(34\) | −0.151324 | + | 0.858202i | −0.0259519 | + | 0.147180i | ||||
\(35\) | 1.89864 | − | 3.28853i | 0.320928 | − | 0.555864i | ||||
\(36\) | −0.307505 | + | 2.82060i | −0.0512508 | + | 0.470100i | ||||
\(37\) | 4.25038 | + | 7.36187i | 0.698758 | + | 1.21028i | 0.968897 | + | 0.247463i | \(0.0795967\pi\) |
−0.270140 | + | 0.962821i | \(0.587070\pi\) | |||||||
\(38\) | 4.23363 | − | 1.54092i | 0.686786 | − | 0.249970i | ||||
\(39\) | −5.74647 | − | 9.23603i | −0.920172 | − | 1.47895i | ||||
\(40\) | 8.79817 | − | 7.38254i | 1.39111 | − | 1.16728i | ||||
\(41\) | 3.46354 | − | 2.90626i | 0.540915 | − | 0.453881i | −0.330936 | − | 0.943653i | \(-0.607364\pi\) |
0.871851 | + | 0.489772i | \(0.162920\pi\) | |||||||
\(42\) | 0.939484 | + | 1.50999i | 0.144966 | + | 0.232996i | ||||
\(43\) | −7.40891 | + | 2.69662i | −1.12985 | + | 0.411231i | −0.838237 | − | 0.545306i | \(-0.816414\pi\) |
−0.291611 | + | 0.956537i | \(0.594191\pi\) | |||||||
\(44\) | 0.774329 | + | 1.34118i | 0.116734 | + | 0.202190i | ||||
\(45\) | −9.19018 | − | 6.73158i | −1.36999 | − | 1.00349i | ||||
\(46\) | 1.52878 | − | 2.64792i | 0.225406 | − | 0.390414i | ||||
\(47\) | 0.0270638 | − | 0.153487i | 0.00394767 | − | 0.0223883i | −0.982770 | − | 0.184831i | \(-0.940826\pi\) |
0.986718 | + | 0.162443i | \(0.0519373\pi\) | |||||||
\(48\) | 0.433187 | + | 2.05756i | 0.0625251 | + | 0.296984i | ||||
\(49\) | −0.939693 | − | 0.342020i | −0.134242 | − | 0.0488600i | ||||
\(50\) | 1.67941 | + | 9.52438i | 0.237504 | + | 1.34695i | ||||
\(51\) | −1.36407 | + | 0.548049i | −0.191008 | + | 0.0767422i | ||||
\(52\) | 4.55008 | + | 3.81797i | 0.630983 | + | 0.529458i | ||||
\(53\) | 12.6703 | 1.74040 | 0.870200 | − | 0.492699i | \(-0.163990\pi\) | ||||
0.870200 | + | 0.492699i | \(0.163990\pi\) | |||||||
\(54\) | 4.80874 | − | 2.31090i | 0.654386 | − | 0.314473i | ||||
\(55\) | −6.21787 | −0.838417 | ||||||||
\(56\) | −2.31697 | − | 1.94417i | −0.309618 | − | 0.259800i | ||||
\(57\) | 5.97991 | + | 4.69069i | 0.792058 | + | 0.621297i | ||||
\(58\) | −1.29072 | − | 7.32003i | −0.169480 | − | 0.961168i | ||||
\(59\) | 3.14407 | + | 1.14435i | 0.409323 | + | 0.148981i | 0.538471 | − | 0.842644i | \(-0.319002\pi\) |
−0.129148 | + | 0.991625i | \(0.541224\pi\) | |||||||
\(60\) | 5.91222 | + | 1.93366i | 0.763264 | + | 0.249634i | ||||
\(61\) | −1.76396 | + | 10.0039i | −0.225852 | + | 1.28087i | 0.635197 | + | 0.772350i | \(0.280919\pi\) |
−0.861050 | + | 0.508521i | \(0.830192\pi\) | |||||||
\(62\) | 2.45705 | − | 4.25574i | 0.312046 | − | 0.540480i | ||||
\(63\) | −1.32555 | + | 2.69127i | −0.167003 | + | 0.339068i | ||||
\(64\) | −3.67959 | − | 6.37324i | −0.459949 | − | 0.796655i | ||||
\(65\) | −22.4098 | + | 8.15649i | −2.77959 | + | 1.01169i | ||||
\(66\) | 1.37210 | − | 2.56853i | 0.168894 | − | 0.316164i | ||||
\(67\) | −3.56045 | + | 2.98758i | −0.434979 | + | 0.364990i | −0.833826 | − | 0.552027i | \(-0.813855\pi\) |
0.398848 | + | 0.917017i | \(0.369410\pi\) | |||||||
\(68\) | 0.614908 | − | 0.515969i | 0.0745686 | − | 0.0625704i | ||||
\(69\) | 5.15502 | − | 0.170025i | 0.620592 | − | 0.0204686i | ||||
\(70\) | 3.66374 | − | 1.33349i | 0.437901 | − | 0.159383i | ||||
\(71\) | −2.71831 | − | 4.70826i | −0.322604 | − | 0.558767i | 0.658420 | − | 0.752651i | \(-0.271225\pi\) |
−0.981025 | + | 0.193883i | \(0.937892\pi\) | |||||||
\(72\) | −6.55148 | + | 6.27785i | −0.772100 | + | 0.739851i | ||||
\(73\) | 0.756070 | − | 1.30955i | 0.0884913 | − | 0.153271i | −0.818382 | − | 0.574674i | \(-0.805129\pi\) |
0.906874 | + | 0.421403i | \(0.138462\pi\) | |||||||
\(74\) | −1.51564 | + | 8.59561i | −0.176189 | + | 0.999219i | ||||
\(75\) | −12.1453 | + | 10.8932i | −1.40242 | + | 1.25783i | ||||
\(76\) | −3.89970 | − | 1.41938i | −0.447327 | − | 0.162814i | ||||
\(77\) | 0.284341 | + | 1.61258i | 0.0324037 | + | 0.183770i | ||||
\(78\) | 1.57581 | − | 11.0571i | 0.178426 | − | 1.25197i | ||||
\(79\) | −4.73453 | − | 3.97274i | −0.532677 | − | 0.446969i | 0.336348 | − | 0.941738i | \(-0.390808\pi\) |
−0.869024 | + | 0.494769i | \(0.835253\pi\) | |||||||
\(80\) | 4.60980 | 0.515392 | ||||||||
\(81\) | 7.59527 | + | 4.82824i | 0.843919 | + | 0.536471i | ||||
\(82\) | 4.64231 | 0.512658 | ||||||||
\(83\) | 1.62520 | + | 1.36370i | 0.178389 | + | 0.149686i | 0.727610 | − | 0.685991i | \(-0.240631\pi\) |
−0.549221 | + | 0.835677i | \(0.685076\pi\) | |||||||
\(84\) | 0.231123 | − | 1.62174i | 0.0252176 | − | 0.176946i | ||||
\(85\) | 0.559645 | + | 3.17390i | 0.0607020 | + | 0.344258i | ||||
\(86\) | −7.60715 | − | 2.76878i | −0.820300 | − | 0.298565i | ||||
\(87\) | 9.33434 | − | 8.37201i | 1.00075 | − | 0.897574i | ||||
\(88\) | −0.860016 | + | 4.87739i | −0.0916780 | + | 0.519932i | ||||
\(89\) | −0.415312 | + | 0.719341i | −0.0440229 | + | 0.0762500i | −0.887197 | − | 0.461390i | \(-0.847351\pi\) |
0.843174 | + | 0.537640i | \(0.180684\pi\) | |||||||
\(90\) | −2.78570 | − | 11.3601i | −0.293639 | − | 1.19746i | ||||
\(91\) | 3.14014 | + | 5.43889i | 0.329177 | + | 0.570151i | ||||
\(92\) | −2.64654 | + | 0.963260i | −0.275920 | + | 0.100427i | ||||
\(93\) | 8.28518 | − | 0.273264i | 0.859133 | − | 0.0283362i | ||||
\(94\) | 0.122586 | − | 0.102862i | 0.0126438 | − | 0.0106094i | ||||
\(95\) | 12.7640 | − | 10.7102i | 1.30956 | − | 1.09885i | ||||
\(96\) | 3.91954 | − | 7.33727i | 0.400036 | − | 0.748857i | ||||
\(97\) | −8.94079 | + | 3.25418i | −0.907800 | + | 0.330412i | −0.753374 | − | 0.657592i | \(-0.771575\pi\) |
−0.154426 | + | 0.988004i | \(0.549353\pi\) | |||||||
\(98\) | −0.513378 | − | 0.889197i | −0.0518591 | − | 0.0898225i | ||||
\(99\) | 4.90169 | − | 0.323690i | 0.492639 | − | 0.0325321i | ||||
\(100\) | 4.45424 | − | 7.71497i | 0.445424 | − | 0.771497i | ||||
\(101\) | −1.09098 | + | 6.18723i | −0.108556 | + | 0.615652i | 0.881184 | + | 0.472773i | \(0.156747\pi\) |
−0.989740 | + | 0.142879i | \(0.954364\pi\) | |||||||
\(102\) | −1.43460 | − | 0.469203i | −0.142047 | − | 0.0464580i | ||||
\(103\) | 5.73622 | + | 2.08781i | 0.565207 | + | 0.205718i | 0.608790 | − | 0.793331i | \(-0.291655\pi\) |
−0.0435833 | + | 0.999050i | \(0.513877\pi\) | |||||||
\(104\) | 3.29850 | + | 18.7067i | 0.323444 | + | 1.83434i | ||||
\(105\) | 5.17495 | + | 4.05928i | 0.505024 | + | 0.396145i | ||||
\(106\) | 9.96571 | + | 8.36223i | 0.967956 | + | 0.812211i | ||||
\(107\) | 2.17406 | 0.210175 | 0.105087 | − | 0.994463i | \(-0.466488\pi\) | ||||
0.105087 | + | 0.994463i | \(0.466488\pi\) | |||||||
\(108\) | −4.76140 | − | 1.21657i | −0.458166 | − | 0.117065i | ||||
\(109\) | −3.76714 | −0.360827 | −0.180413 | − | 0.983591i | \(-0.557744\pi\) | ||||
−0.180413 | + | 0.983591i | \(0.557744\pi\) | |||||||
\(110\) | −4.89061 | − | 4.10371i | −0.466301 | − | 0.391273i | ||||
\(111\) | −13.6623 | + | 5.48917i | −1.29676 | + | 0.521009i | ||||
\(112\) | −0.210805 | − | 1.19553i | −0.0199192 | − | 0.112967i | ||||
\(113\) | −5.26699 | − | 1.91703i | −0.495477 | − | 0.180339i | 0.0821816 | − | 0.996617i | \(-0.473811\pi\) |
−0.577659 | + | 0.816279i | \(0.696033\pi\) | |||||||
\(114\) | 1.60765 | + | 7.63608i | 0.150570 | + | 0.715184i | ||||
\(115\) | 1.96358 | − | 11.1360i | 0.183105 | − | 1.03844i | ||||
\(116\) | −3.42334 | + | 5.92940i | −0.317849 | + | 0.550531i | ||||
\(117\) | 17.2415 | − | 7.59656i | 1.59398 | − | 0.702302i | ||||
\(118\) | 1.71769 | + | 2.97512i | 0.158126 | + | 0.273882i | ||||
\(119\) | 0.797547 | − | 0.290283i | 0.0731110 | − | 0.0266102i | ||||
\(120\) | 10.5090 | + | 16.8905i | 0.959333 | + | 1.54189i | ||||
\(121\) | −6.37252 | + | 5.34718i | −0.579320 | + | 0.486107i | ||||
\(122\) | −7.98988 | + | 6.70431i | −0.723370 | + | 0.606979i | ||||
\(123\) | 4.13703 | + | 6.64924i | 0.373023 | + | 0.599542i | ||||
\(124\) | −4.25352 | + | 1.54816i | −0.381978 | + | 0.139029i | ||||
\(125\) | 8.39061 | + | 14.5330i | 0.750479 | + | 1.29987i | ||||
\(126\) | −2.81880 | + | 1.24195i | −0.251118 | + | 0.110642i | ||||
\(127\) | 2.50078 | − | 4.33148i | 0.221908 | − | 0.384356i | −0.733479 | − | 0.679712i | \(-0.762105\pi\) |
0.955387 | + | 0.295356i | \(0.0954381\pi\) | |||||||
\(128\) | −0.355866 | + | 2.01822i | −0.0314544 | + | 0.178387i | ||||
\(129\) | −2.81341 | − | 13.3632i | −0.247707 | − | 1.17657i | ||||
\(130\) | −23.0094 | − | 8.37473i | −2.01806 | − | 0.734512i | ||||
\(131\) | 3.26034 | + | 18.4903i | 0.284858 | + | 1.61551i | 0.705794 | + | 0.708417i | \(0.250591\pi\) |
−0.420936 | + | 0.907090i | \(0.638298\pi\) | |||||||
\(132\) | −2.48898 | + | 1.00001i | −0.216638 | + | 0.0870397i | ||||
\(133\) | −3.36135 | − | 2.82051i | −0.291466 | − | 0.244569i | ||||
\(134\) | −4.77220 | −0.412256 | ||||||||
\(135\) | 13.7887 | − | 14.1136i | 1.18674 | − | 1.21470i | ||||
\(136\) | 2.56707 | 0.220124 | ||||||||
\(137\) | 6.28285 | + | 5.27194i | 0.536780 | + | 0.450412i | 0.870435 | − | 0.492283i | \(-0.163838\pi\) |
−0.333655 | + | 0.942695i | \(0.608282\pi\) | |||||||
\(138\) | 4.16685 | + | 3.26852i | 0.354706 | + | 0.278234i | ||||
\(139\) | 1.63090 | + | 9.24931i | 0.138331 | + | 0.784516i | 0.972482 | + | 0.232979i | \(0.0748474\pi\) |
−0.834150 | + | 0.551537i | \(0.814041\pi\) | |||||||
\(140\) | −3.37476 | − | 1.22831i | −0.285220 | − | 0.103811i | ||||
\(141\) | 0.256574 | + | 0.0839154i | 0.0216074 | + | 0.00706695i | ||||
\(142\) | 0.969320 | − | 5.49729i | 0.0813436 | − | 0.461322i | ||||
\(143\) | 5.14185 | − | 8.90594i | 0.429983 | − | 0.744753i | ||||
\(144\) | −3.63402 | + | 0.239978i | −0.302835 | + | 0.0199981i | ||||
\(145\) | −13.7447 | − | 23.8066i | −1.14144 | − | 1.97703i | ||||
\(146\) | 1.45897 | − | 0.531020i | 0.120745 | − | 0.0439475i | ||||
\(147\) | 0.816108 | − | 1.52773i | 0.0673115 | − | 0.126005i | ||||
\(148\) | 6.15881 | − | 5.16786i | 0.506251 | − | 0.424795i | ||||
\(149\) | 5.91863 | − | 4.96632i | 0.484873 | − | 0.406857i | −0.367312 | − | 0.930098i | \(-0.619722\pi\) |
0.852185 | + | 0.523241i | \(0.175277\pi\) | |||||||
\(150\) | −16.7421 | + | 0.552193i | −1.36699 | + | 0.0450864i | ||||
\(151\) | −13.0432 | + | 4.74735i | −1.06144 | + | 0.386334i | −0.812970 | − | 0.582305i | \(-0.802151\pi\) |
−0.248473 | + | 0.968639i | \(0.579929\pi\) | |||||||
\(152\) | −6.63585 | − | 11.4936i | −0.538238 | − | 0.932256i | ||||
\(153\) | −0.606409 | − | 2.47293i | −0.0490252 | − | 0.199924i | ||||
\(154\) | −0.840635 | + | 1.45602i | −0.0677403 | + | 0.117330i | ||||
\(155\) | 3.15587 | − | 17.8978i | 0.253486 | − | 1.43759i | ||||
\(156\) | −7.65870 | + | 6.86912i | −0.613187 | + | 0.549970i | ||||
\(157\) | 2.15757 | + | 0.785291i | 0.172193 | + | 0.0626731i | 0.426678 | − | 0.904404i | \(-0.359684\pi\) |
−0.254485 | + | 0.967077i | \(0.581906\pi\) | |||||||
\(158\) | −1.10195 | − | 6.24946i | −0.0876662 | − | 0.497180i | ||||
\(159\) | −3.09631 | + | 21.7261i | −0.245553 | + | 1.72299i | ||||
\(160\) | −13.9705 | − | 11.7227i | −1.10447 | − | 0.926759i | ||||
\(161\) | −2.97787 | −0.234689 | ||||||||
\(162\) | 2.78742 | + | 8.81039i | 0.219000 | + | 0.692209i | ||||
\(163\) | 15.3511 | 1.20239 | 0.601196 | − | 0.799102i | \(-0.294691\pi\) | ||||
0.601196 | + | 0.799102i | \(0.294691\pi\) | |||||||
\(164\) | −3.27572 | − | 2.74865i | −0.255791 | − | 0.214634i | ||||
\(165\) | 1.51949 | − | 10.6619i | 0.118292 | − | 0.830030i | ||||
\(166\) | 0.378260 | + | 2.14522i | 0.0293587 | + | 0.166501i | ||||
\(167\) | 7.28311 | + | 2.65084i | 0.563584 | + | 0.205128i | 0.608072 | − | 0.793882i | \(-0.291943\pi\) |
−0.0444876 | + | 0.999010i | \(0.514166\pi\) | |||||||
\(168\) | 3.89992 | − | 3.49786i | 0.300886 | − | 0.269866i | ||||
\(169\) | 4.59161 | − | 26.0403i | 0.353201 | − | 2.00310i | ||||
\(170\) | −1.65455 | + | 2.86576i | −0.126898 | + | 0.219794i | ||||
\(171\) | −9.50458 | + | 9.10760i | −0.726834 | + | 0.696476i | ||||
\(172\) | 3.72842 | + | 6.45780i | 0.284289 | + | 0.492403i | ||||
\(173\) | 23.1418 | − | 8.42291i | 1.75944 | − | 0.640382i | 0.759487 | − | 0.650522i | \(-0.225450\pi\) |
0.999949 | + | 0.0101400i | \(0.00322773\pi\) | |||||||
\(174\) | 12.8673 | − | 0.424392i | 0.975465 | − | 0.0321731i | ||||
\(175\) | 7.21559 | − | 6.05460i | 0.545447 | − | 0.457685i | ||||
\(176\) | −1.52277 | + | 1.27776i | −0.114783 | + | 0.0963144i | ||||
\(177\) | −2.73058 | + | 5.11157i | −0.205243 | + | 0.384209i | ||||
\(178\) | −0.801415 | + | 0.291691i | −0.0600686 | + | 0.0218632i | ||||
\(179\) | −9.86874 | − | 17.0932i | −0.737624 | − | 1.27760i | −0.953562 | − | 0.301196i | \(-0.902614\pi\) |
0.215938 | − | 0.976407i | \(-0.430719\pi\) | |||||||
\(180\) | −4.76049 | + | 9.66529i | −0.354826 | + | 0.720408i | ||||
\(181\) | −9.02723 | + | 15.6356i | −0.670989 | + | 1.16219i | 0.306635 | + | 0.951827i | \(0.400797\pi\) |
−0.977624 | + | 0.210359i | \(0.932537\pi\) | |||||||
\(182\) | −1.11974 | + | 6.35037i | −0.0830007 | + | 0.470720i | ||||
\(183\) | −16.7229 | − | 5.46942i | −1.23619 | − | 0.404311i | ||||
\(184\) | −8.46366 | − | 3.08052i | −0.623950 | − | 0.227099i | ||||
\(185\) | 5.60531 | + | 31.7893i | 0.412110 | + | 2.33719i | ||||
\(186\) | 6.69699 | + | 5.25317i | 0.491047 | + | 0.385181i | ||||
\(187\) | −1.06462 | − | 0.893321i | −0.0778526 | − | 0.0653261i | ||||
\(188\) | −0.147402 | −0.0107504 | ||||||||
\(189\) | −4.29085 | − | 2.93063i | −0.312114 | − | 0.213172i | ||||
\(190\) | 17.1080 | 1.24114 | ||||||||
\(191\) | 8.15072 | + | 6.83926i | 0.589765 | + | 0.494872i | 0.888138 | − | 0.459578i | \(-0.151999\pi\) |
−0.298372 | + | 0.954450i | \(0.596444\pi\) | |||||||
\(192\) | 11.8275 | − | 4.75202i | 0.853580 | − | 0.342948i | ||||
\(193\) | −2.99805 | − | 17.0028i | −0.215805 | − | 1.22389i | −0.879505 | − | 0.475890i | \(-0.842126\pi\) |
0.663700 | − | 0.747999i | \(-0.268985\pi\) | |||||||
\(194\) | −9.18002 | − | 3.34125i | −0.659087 | − | 0.239888i | ||||
\(195\) | −8.50973 | − | 40.4198i | −0.609395 | − | 2.89452i | ||||
\(196\) | −0.164231 | + | 0.931402i | −0.0117308 | + | 0.0665287i | ||||
\(197\) | −0.358511 | + | 0.620959i | −0.0255428 | + | 0.0442415i | −0.878514 | − | 0.477716i | \(-0.841465\pi\) |
0.852971 | + | 0.521958i | \(0.174798\pi\) | |||||||
\(198\) | 4.06902 | + | 2.98046i | 0.289172 | + | 0.211812i | ||||
\(199\) | −2.58197 | − | 4.47210i | −0.183031 | − | 0.317018i | 0.759880 | − | 0.650063i | \(-0.225257\pi\) |
−0.942911 | + | 0.333044i | \(0.891924\pi\) | |||||||
\(200\) | 26.7713 | − | 9.74397i | 1.89302 | − | 0.689003i | ||||
\(201\) | −4.25278 | − | 6.83529i | −0.299968 | − | 0.482124i | ||||
\(202\) | −4.94159 | + | 4.14648i | −0.347689 | + | 0.291745i | ||||
\(203\) | −5.54559 | + | 4.65331i | −0.389224 | + | 0.326598i | ||||
\(204\) | 0.734477 | + | 1.18049i | 0.0514236 | + | 0.0826507i | ||||
\(205\) | 16.1333 | − | 5.87206i | 1.12680 | − | 0.410122i | ||||
\(206\) | 3.13385 | + | 5.42798i | 0.218345 | + | 0.378185i | ||||
\(207\) | −0.968216 | + | 8.88100i | −0.0672957 | + | 0.617272i | ||||
\(208\) | −3.81206 | + | 6.60269i | −0.264319 | + | 0.457814i | ||||
\(209\) | −1.24767 | + | 7.07589i | −0.0863032 | + | 0.489450i | ||||
\(210\) | 1.39125 | + | 6.60819i | 0.0960051 | + | 0.456008i | ||||
\(211\) | 2.23549 | + | 0.813652i | 0.153897 | + | 0.0560141i | 0.417820 | − | 0.908530i | \(-0.362794\pi\) |
−0.263923 | + | 0.964544i | \(0.585016\pi\) | |||||||
\(212\) | −2.08086 | − | 11.8011i | −0.142914 | − | 0.810506i | ||||
\(213\) | 8.73765 | − | 3.51058i | 0.598694 | − | 0.240541i | ||||
\(214\) | 1.70999 | + | 1.43485i | 0.116893 | + | 0.0980845i | ||||
\(215\) | −29.9392 | −2.04184 | ||||||||
\(216\) | −9.16376 | − | 12.7681i | −0.623515 | − | 0.868762i | ||||
\(217\) | −4.78605 | −0.324898 | ||||||||
\(218\) | −2.96301 | − | 2.48626i | −0.200681 | − | 0.168391i | ||||
\(219\) | 2.06075 | + | 1.61647i | 0.139253 | + | 0.109231i | ||||
\(220\) | 1.02117 | + | 5.79134i | 0.0688472 | + | 0.390452i | ||||
\(221\) | −5.00883 | − | 1.82306i | −0.336930 | − | 0.122633i | ||||
\(222\) | −14.3687 | − | 4.69946i | −0.964365 | − | 0.315407i | ||||
\(223\) | −1.63131 | + | 9.25162i | −0.109241 | + | 0.619535i | 0.880201 | + | 0.474601i | \(0.157408\pi\) |
−0.989441 | + | 0.144933i | \(0.953703\pi\) | |||||||
\(224\) | −2.40136 | + | 4.15928i | −0.160448 | + | 0.277903i | ||||
\(225\) | −15.7107 | − | 23.4878i | −1.04738 | − | 1.56586i | ||||
\(226\) | −2.87749 | − | 4.98397i | −0.191408 | − | 0.331528i | ||||
\(227\) | −19.8649 | + | 7.23025i | −1.31848 | + | 0.479888i | −0.902972 | − | 0.429700i | \(-0.858619\pi\) |
−0.415511 | + | 0.909588i | \(0.636397\pi\) | |||||||
\(228\) | 3.38683 | − | 6.34006i | 0.224298 | − | 0.419880i | ||||
\(229\) | −6.21523 | + | 5.21520i | −0.410714 | + | 0.344630i | −0.824617 | − | 0.565691i | \(-0.808610\pi\) |
0.413903 | + | 0.910321i | \(0.364165\pi\) | |||||||
\(230\) | 8.89405 | − | 7.46299i | 0.586456 | − | 0.492095i | ||||
\(231\) | −2.83462 | + | 0.0934922i | −0.186504 | + | 0.00615133i | ||||
\(232\) | −20.5753 | + | 7.48880i | −1.35084 | + | 0.491664i | ||||
\(233\) | −4.51226 | − | 7.81546i | −0.295608 | − | 0.512008i | 0.679518 | − | 0.733659i | \(-0.262189\pi\) |
−0.975126 | + | 0.221651i | \(0.928855\pi\) | |||||||
\(234\) | 18.5748 | + | 5.40417i | 1.21427 | + | 0.353282i | ||||
\(235\) | 0.295911 | − | 0.512533i | 0.0193031 | − | 0.0334339i | ||||
\(236\) | 0.549493 | − | 3.11633i | 0.0357690 | − | 0.202856i | ||||
\(237\) | 7.96917 | − | 7.14758i | 0.517653 | − | 0.464285i | ||||
\(238\) | 0.818887 | + | 0.298050i | 0.0530806 | + | 0.0193197i | ||||
\(239\) | −1.06860 | − | 6.06031i | −0.0691217 | − | 0.392009i | −0.999666 | − | 0.0258303i | \(-0.991777\pi\) |
0.930545 | − | 0.366179i | \(-0.119334\pi\) | |||||||
\(240\) | −1.12652 | + | 7.90454i | −0.0727167 | + | 0.510236i | ||||
\(241\) | 13.7022 | + | 11.4975i | 0.882639 | + | 0.740622i | 0.966720 | − | 0.255837i | \(-0.0823511\pi\) |
−0.0840812 | + | 0.996459i | \(0.526796\pi\) | |||||||
\(242\) | −8.54132 | −0.549057 | ||||||||
\(243\) | −10.1352 | + | 11.8439i | −0.650174 | + | 0.759786i | ||||
\(244\) | 9.60737 | 0.615049 | ||||||||
\(245\) | −2.90888 | − | 2.44084i | −0.185842 | − | 0.155940i | ||||
\(246\) | −1.13447 | + | 7.96029i | −0.0723310 | + | 0.507529i | ||||
\(247\) | 4.78531 | + | 27.1388i | 0.304482 | + | 1.72680i | ||||
\(248\) | −13.6028 | − | 4.95103i | −0.863781 | − | 0.314391i | ||||
\(249\) | −2.73554 | + | 2.45351i | −0.173358 | + | 0.155485i | ||||
\(250\) | −2.99200 | + | 16.9685i | −0.189231 | + | 1.07318i | ||||
\(251\) | 13.4328 | − | 23.2663i | 0.847870 | − | 1.46855i | −0.0352362 | − | 0.999379i | \(-0.511218\pi\) |
0.883106 | − | 0.469174i | \(-0.155448\pi\) | |||||||
\(252\) | 2.72435 | + | 0.792625i | 0.171618 | + | 0.0499307i | ||||
\(253\) | 2.43807 | + | 4.22286i | 0.153280 | + | 0.265489i | ||||
\(254\) | 4.82568 | − | 1.75640i | 0.302790 | − | 0.110207i | ||||
\(255\) | −5.57913 | + | 0.184013i | −0.349379 | + | 0.0115233i | ||||
\(256\) | −12.8868 | + | 10.8133i | −0.805426 | + | 0.675833i | ||||
\(257\) | 10.8465 | − | 9.10130i | 0.676587 | − | 0.567724i | −0.238420 | − | 0.971162i | \(-0.576630\pi\) |
0.915007 | + | 0.403438i | \(0.132185\pi\) | |||||||
\(258\) | 6.60669 | − | 12.3675i | 0.411314 | − | 0.769970i | ||||
\(259\) | 7.98809 | − | 2.90743i | 0.496356 | − | 0.180659i | ||||
\(260\) | 11.2774 | + | 19.5330i | 0.699392 | + | 1.21138i | ||||
\(261\) | 12.0746 | + | 18.0517i | 0.747400 | + | 1.11737i | ||||
\(262\) | −9.63897 | + | 16.6952i | −0.595498 | + | 1.03143i | ||||
\(263\) | −1.35568 | + | 7.68844i | −0.0835947 | + | 0.474089i | 0.914056 | + | 0.405587i | \(0.132933\pi\) |
−0.997651 | + | 0.0685019i | \(0.978178\pi\) | |||||||
\(264\) | −8.15322 | − | 2.66661i | −0.501796 | − | 0.164118i | ||||
\(265\) | 45.2110 | + | 16.4555i | 2.77729 | + | 1.01085i | ||||
\(266\) | −0.782344 | − | 4.43689i | −0.0479686 | − | 0.272043i | ||||
\(267\) | −1.13198 | − | 0.887934i | −0.0692760 | − | 0.0543407i | ||||
\(268\) | 3.36737 | + | 2.82556i | 0.205695 | + | 0.172599i | ||||
\(269\) | 6.34578 | 0.386909 | 0.193455 | − | 0.981109i | \(-0.438031\pi\) | ||||
0.193455 | + | 0.981109i | \(0.438031\pi\) | |||||||
\(270\) | 20.1601 | − | 2.00059i | 1.22691 | − | 0.121752i | ||||
\(271\) | 17.3780 | 1.05564 | 0.527818 | − | 0.849357i | \(-0.323010\pi\) | ||||
0.527818 | + | 0.849357i | \(0.323010\pi\) | |||||||
\(272\) | 0.789287 | + | 0.662291i | 0.0478576 | + | 0.0401573i | ||||
\(273\) | −10.0936 | + | 4.05535i | −0.610891 | + | 0.245441i | ||||
\(274\) | 1.46231 | + | 8.29319i | 0.0883416 | + | 0.501010i | ||||
\(275\) | −14.4935 | − | 5.27520i | −0.873991 | − | 0.318107i | ||||
\(276\) | −1.00498 | − | 4.77348i | −0.0604925 | − | 0.287330i | ||||
\(277\) | −2.28304 | + | 12.9478i | −0.137174 | + | 0.777955i | 0.836146 | + | 0.548506i | \(0.184803\pi\) |
−0.973321 | + | 0.229449i | \(0.926308\pi\) | |||||||
\(278\) | −4.82165 | + | 8.35134i | −0.289183 | + | 0.500880i | ||||
\(279\) | −1.55612 | + | 14.2736i | −0.0931625 | + | 0.854537i | ||||
\(280\) | −5.74260 | − | 9.94647i | −0.343186 | − | 0.594415i | ||||
\(281\) | −3.20684 | + | 1.16719i | −0.191304 | + | 0.0696290i | −0.435896 | − | 0.899997i | \(-0.643568\pi\) |
0.244592 | + | 0.969626i | \(0.421346\pi\) | |||||||
\(282\) | 0.146423 | + | 0.235338i | 0.00871934 | + | 0.0140142i | ||||
\(283\) | −1.24498 | + | 1.04466i | −0.0740063 | + | 0.0620987i | −0.679040 | − | 0.734101i | \(-0.737604\pi\) |
0.605034 | + | 0.796200i | \(0.293159\pi\) | |||||||
\(284\) | −3.93885 | + | 3.30509i | −0.233728 | + | 0.196121i | ||||
\(285\) | 15.2459 | + | 24.5040i | 0.903090 | + | 1.45149i | ||||
\(286\) | 9.92208 | − | 3.61134i | 0.586705 | − | 0.213543i | ||||
\(287\) | −2.26067 | − | 3.91559i | −0.133443 | − | 0.231130i | ||||
\(288\) | 11.6236 | + | 8.51398i | 0.684925 | + | 0.501691i | ||||
\(289\) | 8.13983 | − | 14.0986i | 0.478813 | − | 0.829329i | ||||
\(290\) | 4.90121 | − | 27.7962i | 0.287809 | − | 1.63225i | ||||
\(291\) | −3.39512 | − | 16.1262i | −0.199025 | − | 0.945337i | ||||
\(292\) | −1.34389 | − | 0.489136i | −0.0786451 | − | 0.0286245i | ||||
\(293\) | −1.96516 | − | 11.1450i | −0.114806 | − | 0.651096i | −0.986846 | − | 0.161662i | \(-0.948315\pi\) |
0.872041 | − | 0.489434i | \(-0.162796\pi\) | |||||||
\(294\) | 1.65019 | − | 0.663005i | 0.0962408 | − | 0.0386672i | ||||
\(295\) | 9.73268 | + | 8.16669i | 0.566658 | + | 0.475483i | ||||
\(296\) | 25.7113 | 1.49444 | ||||||||
\(297\) | −0.642814 | + | 8.48415i | −0.0372998 | + | 0.492301i | ||||
\(298\) | 7.93295 | 0.459544 | ||||||||
\(299\) | 14.3265 | + | 12.0214i | 0.828522 | + | 0.695213i | ||||
\(300\) | 12.1405 | + | 9.52314i | 0.700934 | + | 0.549819i | ||||
\(301\) | 1.36911 | + | 7.76462i | 0.0789143 | + | 0.447545i | ||||
\(302\) | −13.3922 | − | 4.87437i | −0.770636 | − | 0.280489i | ||||
\(303\) | −10.3428 | − | 3.38273i | −0.594178 | − | 0.194333i | ||||
\(304\) | 0.924998 | − | 5.24592i | 0.0530523 | − | 0.300874i | ||||
\(305\) | −19.2868 | + | 33.4058i | −1.10436 | + | 1.91281i | ||||
\(306\) | 1.15513 | − | 2.34528i | 0.0660347 | − | 0.134071i | ||||
\(307\) | −0.844810 | − | 1.46325i | −0.0482158 | − | 0.0835123i | 0.840910 | − | 0.541175i | \(-0.182020\pi\) |
−0.889126 | + | 0.457662i | \(0.848687\pi\) | |||||||
\(308\) | 1.45526 | − | 0.529672i | 0.0829213 | − | 0.0301809i | ||||
\(309\) | −4.98182 | + | 9.32583i | −0.283406 | + | 0.530528i | ||||
\(310\) | 14.2946 | − | 11.9946i | 0.811876 | − | 0.681245i | ||||
\(311\) | 12.9294 | − | 10.8491i | 0.733159 | − | 0.615194i | −0.197832 | − | 0.980236i | \(-0.563390\pi\) |
0.930991 | + | 0.365042i | \(0.118945\pi\) | |||||||
\(312\) | −32.8829 | + | 1.08456i | −1.86163 | + | 0.0614009i | ||||
\(313\) | 28.6924 | − | 10.4432i | 1.62179 | − | 0.590284i | 0.638070 | − | 0.769978i | \(-0.279733\pi\) |
0.983723 | + | 0.179694i | \(0.0575106\pi\) | |||||||
\(314\) | 1.17874 | + | 2.04163i | 0.0665199 | + | 0.115216i | ||||
\(315\) | −8.22517 | + | 7.88163i | −0.463436 | + | 0.444080i | ||||
\(316\) | −2.92266 | + | 5.06220i | −0.164413 | + | 0.284771i | ||||
\(317\) | 1.65848 | − | 9.40570i | 0.0931494 | − | 0.528276i | −0.902149 | − | 0.431424i | \(-0.858011\pi\) |
0.995299 | − | 0.0968526i | \(-0.0308775\pi\) | |||||||
\(318\) | −16.7743 | + | 15.0449i | −0.940656 | + | 0.843678i | ||||
\(319\) | 11.1391 | + | 4.05430i | 0.623669 | + | 0.226997i | ||||
\(320\) | −4.85257 | − | 27.5203i | −0.271267 | − | 1.53843i | ||||
\(321\) | −0.531288 | + | 3.72792i | −0.0296536 | + | 0.208072i | ||||
\(322\) | −2.34222 | − | 1.96536i | −0.130527 | − | 0.109525i | ||||
\(323\) | 3.72418 | 0.207219 | ||||||||
\(324\) | 3.24965 | − | 7.86720i | 0.180536 | − | 0.437066i | ||||
\(325\) | −59.1558 | −3.28137 | ||||||||
\(326\) | 12.0743 | + | 10.1315i | 0.668732 | + | 0.561133i | ||||
\(327\) | 0.920597 | − | 6.45961i | 0.0509091 | − | 0.357217i | ||||
\(328\) | −2.37467 | − | 13.4674i | −0.131119 | − | 0.743614i | ||||
\(329\) | −0.146455 | − | 0.0533053i | −0.00807434 | − | 0.00293882i | ||||
\(330\) | 8.23188 | − | 7.38320i | 0.453150 | − | 0.406432i | ||||
\(331\) | 3.29017 | − | 18.6595i | 0.180844 | − | 1.02562i | −0.750336 | − | 0.661057i | \(-0.770108\pi\) |
0.931180 | − | 0.364560i | \(-0.118781\pi\) | |||||||
\(332\) | 1.00325 | − | 1.73768i | 0.0550604 | − | 0.0953674i | ||||
\(333\) | −6.07369 | − | 24.7684i | −0.332836 | − | 1.35730i | ||||
\(334\) | 3.97895 | + | 6.89175i | 0.217719 | + | 0.377100i | ||||
\(335\) | −16.5848 | + | 6.03636i | −0.906122 | + | 0.329801i | ||||
\(336\) | 2.10153 | − | 0.0693132i | 0.114648 | − | 0.00378135i | ||||
\(337\) | 8.81703 | − | 7.39837i | 0.480294 | − | 0.403015i | −0.370238 | − | 0.928937i | \(-0.620724\pi\) |
0.850533 | + | 0.525922i | \(0.176280\pi\) | |||||||
\(338\) | 20.7978 | − | 17.4514i | 1.13125 | − | 0.949231i | ||||
\(339\) | 4.57430 | − | 8.56297i | 0.248442 | − | 0.465076i | ||||
\(340\) | 2.86427 | − | 1.04251i | 0.155337 | − | 0.0565380i | ||||
\(341\) | 3.91847 | + | 6.78700i | 0.212197 | + | 0.367536i | ||||
\(342\) | −13.4866 | + | 0.890610i | −0.729274 | + | 0.0481587i | ||||
\(343\) | −0.500000 | + | 0.866025i | −0.0269975 | + | 0.0467610i | ||||
\(344\) | −4.14100 | + | 23.4848i | −0.223268 | + | 1.26621i | ||||
\(345\) | 18.6153 | + | 6.08836i | 1.00222 | + | 0.327786i | ||||
\(346\) | 23.7610 | + | 8.64828i | 1.27740 | + | 0.464935i | ||||
\(347\) | −0.113298 | − | 0.642546i | −0.00608217 | − | 0.0344937i | 0.981616 | − | 0.190868i | \(-0.0611304\pi\) |
−0.987698 | + | 0.156375i | \(0.950019\pi\) | |||||||
\(348\) | −9.33070 | − | 7.31908i | −0.500178 | − | 0.392344i | ||||
\(349\) | −27.8354 | − | 23.3566i | −1.48999 | − | 1.25025i | −0.894640 | − | 0.446788i | \(-0.852568\pi\) |
−0.595353 | − | 0.803464i | \(-0.702988\pi\) | |||||||
\(350\) | 9.67131 | 0.516953 | ||||||||
\(351\) | 8.81260 | + | 31.4209i | 0.470382 | + | 1.67712i | ||||
\(352\) | 7.86424 | 0.419166 | ||||||||
\(353\) | 1.15497 | + | 0.969131i | 0.0614726 | + | 0.0515817i | 0.673006 | − | 0.739637i | \(-0.265003\pi\) |
−0.611534 | + | 0.791218i | \(0.709447\pi\) | |||||||
\(354\) | −5.52128 | + | 2.21831i | −0.293453 | + | 0.117902i | ||||
\(355\) | −3.58485 | − | 20.3307i | −0.190264 | − | 1.07904i | ||||
\(356\) | 0.738202 | + | 0.268684i | 0.0391247 | + | 0.0142402i | ||||
\(357\) | 0.302855 | + | 1.43851i | 0.0160288 | + | 0.0761341i | ||||
\(358\) | 3.51908 | − | 19.9577i | 0.185989 | − | 1.05480i | ||||
\(359\) | −18.6210 | + | 32.2526i | −0.982781 | + | 1.70223i | −0.331372 | + | 0.943500i | \(0.607511\pi\) |
−0.651409 | + | 0.758727i | \(0.725822\pi\) | |||||||
\(360\) | −31.5308 | + | 13.8923i | −1.66182 | + | 0.732191i | ||||
\(361\) | −0.126974 | − | 0.219925i | −0.00668284 | − | 0.0115750i | ||||
\(362\) | −17.4196 | + | 6.34021i | −0.915553 | + | 0.333234i | ||||
\(363\) | −7.61166 | − | 12.2338i | −0.399508 | − | 0.642110i | ||||
\(364\) | 4.55008 | − | 3.81797i | 0.238489 | − | 0.200116i | ||||
\(365\) | 4.39863 | − | 3.69089i | 0.230235 | − | 0.193190i | ||||
\(366\) | −9.54351 | − | 15.3388i | −0.498847 | − | 0.801773i | ||||
\(367\) | −31.7489 | + | 11.5556i | −1.65728 | + | 0.603200i | −0.989931 | − | 0.141549i | \(-0.954792\pi\) |
−0.667346 | + | 0.744748i | \(0.732570\pi\) | |||||||
\(368\) | −1.80754 | − | 3.13074i | −0.0942243 | − | 0.163201i | ||||
\(369\) | −12.4126 | + | 5.46895i | −0.646175 | + | 0.284702i | ||||
\(370\) | −16.5717 | + | 28.7030i | −0.861521 | + | 1.49220i | ||||
\(371\) | 2.20017 | − | 12.4778i | 0.114227 | − | 0.647816i | ||||
\(372\) | −1.61520 | − | 7.67195i | −0.0837444 | − | 0.397772i | ||||
\(373\) | −4.52370 | − | 1.64649i | −0.234228 | − | 0.0852522i | 0.222239 | − | 0.974992i | \(-0.428663\pi\) |
−0.456468 | + | 0.889740i | \(0.650886\pi\) | |||||||
\(374\) | −0.247787 | − | 1.40527i | −0.0128127 | − | 0.0726647i | ||||
\(375\) | −26.9705 | + | 10.8361i | −1.39275 | + | 0.559573i | ||||
\(376\) | −0.361110 | − | 0.303007i | −0.0186228 | − | 0.0156264i | ||||
\(377\) | 45.4646 | 2.34155 | ||||||||
\(378\) | −1.44076 | − | 5.13696i | −0.0741048 | − | 0.264217i | ||||
\(379\) | −25.8902 | −1.32989 | −0.664946 | − | 0.746892i | \(-0.731545\pi\) | ||||
−0.664946 | + | 0.746892i | \(0.731545\pi\) | |||||||
\(380\) | −12.0718 | − | 10.1294i | −0.619269 | − | 0.519629i | ||||
\(381\) | 6.81616 | + | 5.34665i | 0.349202 | + | 0.273917i | ||||
\(382\) | 1.89705 | + | 10.7587i | 0.0970617 | + | 0.550464i | ||||
\(383\) | −19.1495 | − | 6.96983i | −0.978491 | − | 0.356142i | −0.197238 | − | 0.980356i | \(-0.563197\pi\) |
−0.781253 | + | 0.624214i | \(0.785419\pi\) | |||||||
\(384\) | −3.37372 | − | 1.10342i | −0.172165 | − | 0.0563084i | ||||
\(385\) | −1.07972 | + | 6.12340i | −0.0550277 | + | 0.312078i | ||||
\(386\) | 8.86353 | − | 15.3521i | 0.451142 | − | 0.781400i | ||||
\(387\) | 23.6018 | − | 1.55858i | 1.19975 | − | 0.0792270i | ||||
\(388\) | 4.49931 | + | 7.79303i | 0.228418 | + | 0.395631i | ||||
\(389\) | 5.24106 | − | 1.90759i | 0.265732 | − | 0.0967186i | −0.205718 | − | 0.978611i | \(-0.565953\pi\) |
0.471450 | + | 0.881893i | \(0.343731\pi\) | |||||||
\(390\) | 19.9833 | − | 37.4082i | 1.01189 | − | 1.89424i | ||||
\(391\) | 1.93611 | − | 1.62459i | 0.0979134 | − | 0.0821591i | ||||
\(392\) | −2.31697 | + | 1.94417i | −0.117025 | + | 0.0981954i | ||||
\(393\) | −32.5026 | + | 1.07201i | −1.63954 | + | 0.0540757i | ||||
\(394\) | −0.691808 | + | 0.251798i | −0.0348528 | + | 0.0126854i | ||||
\(395\) | −11.7345 | − | 20.3248i | −0.590427 | − | 1.02265i | ||||
\(396\) | −1.10650 | − | 4.51229i | −0.0556036 | − | 0.226751i | ||||
\(397\) | −6.96118 | + | 12.0571i | −0.349371 | + | 0.605129i | −0.986138 | − | 0.165928i | \(-0.946938\pi\) |
0.636766 | + | 0.771057i | \(0.280272\pi\) | |||||||
\(398\) | 0.920700 | − | 5.22155i | 0.0461505 | − | 0.261733i | ||||
\(399\) | 5.65783 | − | 5.07453i | 0.283246 | − | 0.254044i | ||||
\(400\) | 10.7452 | + | 3.91093i | 0.537260 | + | 0.195547i | ||||
\(401\) | 0.134854 | + | 0.764794i | 0.00673428 | + | 0.0381920i | 0.987990 | − | 0.154520i | \(-0.0493830\pi\) |
−0.981255 | + | 0.192712i | \(0.938272\pi\) | |||||||
\(402\) | 1.16621 | − | 8.18302i | 0.0581652 | − | 0.408132i | ||||
\(403\) | 23.0256 | + | 19.3208i | 1.14699 | + | 0.962436i | ||||
\(404\) | 5.94197 | 0.295624 | ||||||||
\(405\) | 20.8313 | + | 27.0928i | 1.03512 | + | 1.34625i | ||||
\(406\) | −7.43296 | −0.368891 | ||||||||
\(407\) | −10.6630 | − | 8.94735i | −0.528547 | − | 0.443504i | ||||
\(408\) | −0.627328 | + | 4.40181i | −0.0310574 | + | 0.217922i | ||||
\(409\) | −2.69427 | − | 15.2800i | −0.133223 | − | 0.755546i | −0.976081 | − | 0.217409i | \(-0.930239\pi\) |
0.842857 | − | 0.538137i | \(-0.180872\pi\) | |||||||
\(410\) | 16.5650 | + | 6.02917i | 0.818088 | + | 0.297760i | ||||
\(411\) | −10.5753 | + | 9.48503i | −0.521641 | + | 0.467862i | ||||
\(412\) | 1.00253 | − | 5.68561i | 0.0493910 | − | 0.280110i | ||||
\(413\) | 1.67293 | − | 2.89759i | 0.0823193 | − | 0.142581i | ||||
\(414\) | −6.62288 | + | 6.34626i | −0.325497 | + | 0.311902i | ||||
\(415\) | 4.02805 | + | 6.97678i | 0.197729 | + | 0.342477i | ||||
\(416\) | 28.3435 | − | 10.3162i | 1.38965 | − | 0.505792i | ||||
\(417\) | −16.2586 | + | 0.536245i | −0.796186 | + | 0.0262600i | ||||
\(418\) | −5.65134 | + | 4.74203i | −0.276416 | + | 0.231940i | ||||
\(419\) | −8.84945 | + | 7.42557i | −0.432324 | + | 0.362763i | −0.832828 | − | 0.553532i | \(-0.813280\pi\) |
0.400504 | + | 0.916295i | \(0.368835\pi\) | |||||||
\(420\) | 2.93093 | − | 5.48662i | 0.143015 | − | 0.267720i | ||||
\(421\) | 25.5735 | − | 9.30801i | 1.24638 | − | 0.453645i | 0.367202 | − | 0.930141i | \(-0.380316\pi\) |
0.879176 | + | 0.476497i | \(0.158094\pi\) | |||||||
\(422\) | 1.22131 | + | 2.11536i | 0.0594522 | + | 0.102974i | ||||
\(423\) | −0.206592 | + | 0.419446i | −0.0100448 | + | 0.0203942i | ||||
\(424\) | 19.1612 | − | 33.1882i | 0.930552 | − | 1.61176i | ||||
\(425\) | −1.38822 | + | 7.87299i | −0.0673386 | + | 0.381896i | ||||
\(426\) | 9.18946 | + | 3.00552i | 0.445231 | + | 0.145618i | ||||
\(427\) | 9.54563 | + | 3.47433i | 0.461945 | + | 0.168134i | ||||
\(428\) | −0.357049 | − | 2.02493i | −0.0172586 | − | 0.0978786i | ||||
\(429\) | 14.0147 | + | 10.9933i | 0.676636 | + | 0.530759i | ||||
\(430\) | −23.5484 | − | 19.7595i | −1.13561 | − | 0.952887i | ||||
\(431\) | −37.5351 | −1.80800 | −0.904001 | − | 0.427531i | \(-0.859383\pi\) | ||||
−0.904001 | + | 0.427531i | \(0.859383\pi\) | |||||||
\(432\) | 0.476569 | − | 6.28998i | 0.0229289 | − | 0.302627i | ||||
\(433\) | −32.9932 | −1.58555 | −0.792777 | − | 0.609512i | \(-0.791366\pi\) | ||||
−0.792777 | + | 0.609512i | \(0.791366\pi\) | |||||||
\(434\) | −3.76443 | − | 3.15873i | −0.180698 | − | 0.151624i | ||||
\(435\) | 44.1806 | − | 17.7507i | 2.11830 | − | 0.851080i | ||||
\(436\) | 0.618683 | + | 3.50872i | 0.0296295 | + | 0.168037i | ||||
\(437\) | −12.2787 | − | 4.46908i | −0.587369 | − | 0.213785i | ||||
\(438\) | 0.554018 | + | 2.63149i | 0.0264720 | + | 0.125738i | ||||
\(439\) | −0.424336 | + | 2.40653i | −0.0202525 | + | 0.114857i | −0.993258 | − | 0.115924i | \(-0.963017\pi\) |
0.973006 | + | 0.230781i | \(0.0741282\pi\) | |||||||
\(440\) | −9.40325 | + | 16.2869i | −0.448282 | + | 0.776448i | ||||
\(441\) | 2.42020 | + | 1.77274i | 0.115248 | + | 0.0844162i | ||||
\(442\) | −2.73645 | − | 4.73967i | −0.130160 | − | 0.225443i | ||||
\(443\) | 26.2421 | − | 9.55136i | 1.24680 | − | 0.453799i | 0.367482 | − | 0.930031i | \(-0.380220\pi\) |
0.879320 | + | 0.476232i | \(0.157998\pi\) | |||||||
\(444\) | 7.35639 | + | 11.8236i | 0.349119 | + | 0.561122i | ||||
\(445\) | −2.41618 | + | 2.02742i | −0.114538 | + | 0.0961088i | ||||
\(446\) | −7.38904 | + | 6.20014i | −0.349881 | + | 0.293585i | ||||
\(447\) | 7.06951 | + | 11.3625i | 0.334376 | + | 0.537426i | ||||
\(448\) | −6.91537 | + | 2.51699i | −0.326720 | + | 0.118917i | ||||
\(449\) | 7.90135 | + | 13.6855i | 0.372888 | + | 0.645861i | 0.990008 | − | 0.141008i | \(-0.0450343\pi\) |
−0.617121 | + | 0.786869i | \(0.711701\pi\) | |||||||
\(450\) | 3.14450 | − | 28.8430i | 0.148233 | − | 1.35967i | ||||
\(451\) | −3.70174 | + | 6.41161i | −0.174308 | + | 0.301911i | ||||
\(452\) | −0.920519 | + | 5.22052i | −0.0432976 | + | 0.245553i | ||||
\(453\) | −4.95295 | − | 23.5257i | −0.232710 | − | 1.10533i | ||||
\(454\) | −20.3965 | − | 7.42371i | −0.957254 | − | 0.348412i | ||||
\(455\) | 4.14116 | + | 23.4857i | 0.194140 | + | 1.10103i | ||||
\(456\) | 21.3300 | − | 8.56989i | 0.998871 | − | 0.401322i | ||||
\(457\) | −29.9480 | − | 25.1293i | −1.40091 | − | 1.17550i | −0.960695 | − | 0.277606i | \(-0.910459\pi\) |
−0.440212 | − | 0.897894i | \(-0.645097\pi\) | |||||||
\(458\) | −8.33050 | −0.389259 | ||||||||
\(459\) | 4.38858 | − | 0.435501i | 0.204842 | − | 0.0203274i | ||||
\(460\) | −10.6946 | −0.498637 | ||||||||
\(461\) | −15.2551 | − | 12.8006i | −0.710503 | − | 0.596183i | 0.214237 | − | 0.976782i | \(-0.431273\pi\) |
−0.924740 | + | 0.380599i | \(0.875718\pi\) | |||||||
\(462\) | −2.29125 | − | 1.79727i | −0.106598 | − | 0.0836167i | ||||
\(463\) | 2.87004 | + | 16.2768i | 0.133382 | + | 0.756447i | 0.975973 | + | 0.217893i | \(0.0699183\pi\) |
−0.842591 | + | 0.538554i | \(0.818971\pi\) | |||||||
\(464\) | −8.25830 | − | 3.00577i | −0.383382 | − | 0.139540i | ||||
\(465\) | 29.9186 | + | 9.78524i | 1.38744 | + | 0.453780i | ||||
\(466\) | 1.60902 | − | 9.12521i | 0.0745365 | − | 0.422717i | ||||
\(467\) | 15.1595 | − | 26.2570i | 0.701497 | − | 1.21503i | −0.266444 | − | 0.963850i | \(-0.585849\pi\) |
0.967941 | − | 0.251178i | \(-0.0808180\pi\) | |||||||
\(468\) | −9.90705 | − | 14.8112i | −0.457954 | − | 0.684648i | ||||
\(469\) | 2.32392 | + | 4.02515i | 0.107309 | + | 0.185864i | ||||
\(470\) | 0.571011 | − | 0.207831i | 0.0263388 | − | 0.00958653i | ||||
\(471\) | −1.87382 | + | 3.50773i | −0.0863408 | + | 0.161628i | ||||
\(472\) | 7.75224 | − | 6.50490i | 0.356826 | − | 0.299412i | ||||
\(473\) | 9.88991 | − | 8.29862i | 0.454738 | − | 0.381571i | ||||
\(474\) | 10.9854 | − | 0.362323i | 0.504575 | − | 0.0166421i | ||||
\(475\) | 38.8386 | − | 14.1361i | 1.78204 | − | 0.648608i | ||||
\(476\) | −0.401353 | − | 0.695163i | −0.0183960 | − | 0.0318628i | ||||
\(477\) | −36.4976 | − | 10.6186i | −1.67111 | − | 0.486194i | ||||
\(478\) | 3.15923 | − | 5.47194i | 0.144500 | − | 0.250281i | ||||
\(479\) | 2.92440 | − | 16.5851i | 0.133619 | − | 0.757792i | −0.842192 | − | 0.539177i | \(-0.818735\pi\) |
0.975811 | − | 0.218614i | \(-0.0701536\pi\) | |||||||
\(480\) | 23.5152 | − | 21.0909i | 1.07332 | − | 0.962663i | ||||
\(481\) | −50.1676 | − | 18.2595i | −2.28744 | − | 0.832561i | ||||
\(482\) | 3.18915 | + | 18.0866i | 0.145262 | + | 0.823821i | ||||
\(483\) | 0.727719 | − | 5.10623i | 0.0331124 | − | 0.232342i | ||||
\(484\) | 6.02694 | + | 5.05721i | 0.273952 | + | 0.229873i | ||||
\(485\) | −36.1295 | −1.64056 | ||||||||
\(486\) | −15.7886 | + | 2.62661i | −0.716184 | + | 0.119145i | ||||
\(487\) | 16.6758 | 0.755654 | 0.377827 | − | 0.925876i | \(-0.376671\pi\) | ||||
0.377827 | + | 0.925876i | \(0.376671\pi\) | |||||||
\(488\) | 23.5364 | + | 19.7493i | 1.06544 | + | 0.894011i | ||||
\(489\) | −3.75143 | + | 26.3229i | −0.169646 | + | 1.19036i | ||||
\(490\) | −0.677033 | − | 3.83964i | −0.0305852 | − | 0.173457i | ||||
\(491\) | 8.19449 | + | 2.98255i | 0.369812 | + | 0.134601i | 0.520240 | − | 0.854020i | \(-0.325843\pi\) |
−0.150427 | + | 0.988621i | \(0.548065\pi\) | |||||||
\(492\) | 5.51369 | − | 4.94525i | 0.248576 | − | 0.222949i | ||||
\(493\) | 1.06693 | − | 6.05084i | 0.0480520 | − | 0.272516i | ||||
\(494\) | −14.1474 | + | 24.5040i | −0.636522 | + | 1.10249i | ||||
\(495\) | 17.9109 | + | 5.21103i | 0.805037 | + | 0.234218i | ||||
\(496\) | −2.90508 | − | 5.03174i | −0.130442 | − | 0.225932i | ||||
\(497\) | −5.10876 | + | 1.85944i | −0.229159 | + | 0.0834071i | ||||
\(498\) | −3.77090 | + | 0.124373i | −0.168978 | + | 0.00557328i | ||||
\(499\) | −0.910677 | + | 0.764149i | −0.0407675 | + | 0.0342080i | −0.662944 | − | 0.748669i | \(-0.730693\pi\) |
0.622176 | + | 0.782877i | \(0.286249\pi\) | |||||||
\(500\) | 12.1580 | − | 10.2018i | 0.543724 | − | 0.456238i | ||||
\(501\) | −6.32527 | + | 11.8407i | −0.282592 | + | 0.529005i | ||||
\(502\) | 25.9209 | − | 9.43442i | 1.15690 | − | 0.421079i | ||||
\(503\) | 9.32422 | + | 16.1500i | 0.415747 | + | 0.720094i | 0.995507 | − | 0.0946931i | \(-0.0301870\pi\) |
−0.579760 | + | 0.814787i | \(0.696854\pi\) | |||||||
\(504\) | 5.04482 | + | 7.54209i | 0.224714 | + | 0.335951i | ||||
\(505\) | −11.9285 | + | 20.6608i | −0.530812 | + | 0.919394i | ||||
\(506\) | −0.869388 | + | 4.93054i | −0.0386490 | + | 0.219189i | ||||
\(507\) | 43.5299 | + | 14.2370i | 1.93323 | + | 0.632286i | ||||
\(508\) | −4.44505 | − | 1.61787i | −0.197217 | − | 0.0717812i | ||||
\(509\) | 0.201799 | + | 1.14446i | 0.00894457 | + | 0.0507272i | 0.988953 | − | 0.148227i | \(-0.0473566\pi\) |
−0.980009 | + | 0.198954i | \(0.936246\pi\) | |||||||
\(510\) | −4.50967 | − | 3.53742i | −0.199691 | − | 0.156640i | ||||
\(511\) | −1.15837 | − | 0.971984i | −0.0512431 | − | 0.0429981i | ||||
\(512\) | −13.1740 | −0.582212 | ||||||||
\(513\) | −13.2943 | − | 18.5234i | −0.586960 | − | 0.817829i | ||||
\(514\) | 14.5380 | 0.641242 | ||||||||
\(515\) | 17.7569 | + | 14.8998i | 0.782460 | + | 0.656562i | ||||
\(516\) | −11.9845 | + | 4.81508i | −0.527588 | + | 0.211972i | ||||
\(517\) | 0.0443158 | + | 0.251328i | 0.00194901 | + | 0.0110534i | ||||
\(518\) | 8.20183 | + | 2.98522i | 0.360368 | + | 0.131163i | ||||
\(519\) | 8.78770 | + | 41.7401i | 0.385737 | + | 1.83219i | ||||
\(520\) | −12.5253 | + | 71.0345i | −0.549271 | + | 3.11507i | ||||
\(521\) | −9.77759 | + | 16.9353i | −0.428364 | + | 0.741949i | −0.996728 | − | 0.0808288i | \(-0.974243\pi\) |
0.568364 | + | 0.822777i | \(0.307577\pi\) | |||||||
\(522\) | −2.41673 | + | 22.1675i | −0.105777 | + | 0.970246i | ||||
\(523\) | 16.4835 | + | 28.5503i | 0.720775 | + | 1.24842i | 0.960689 | + | 0.277625i | \(0.0895473\pi\) |
−0.239914 | + | 0.970794i | \(0.577119\pi\) | |||||||
\(524\) | 16.6865 | − | 6.07338i | 0.728952 | − | 0.265317i | ||||
\(525\) | 8.61866 | + | 13.8523i | 0.376149 | + | 0.604566i | ||||
\(526\) | −6.14056 | + | 5.15254i | −0.267741 | + | 0.224662i | ||||
\(527\) | 3.11173 | − | 2.61105i | 0.135549 | − | 0.113739i | ||||
\(528\) | −1.81887 | − | 2.92338i | −0.0791562 | − | 0.127224i | ||||
\(529\) | 13.2800 | − | 4.83352i | 0.577391 | − | 0.210153i | ||||
\(530\) | 24.7000 | + | 42.7816i | 1.07290 | + | 1.85831i | ||||
\(531\) | −8.09764 | − | 5.93133i | −0.351408 | − | 0.257398i | ||||
\(532\) | −2.07499 | + | 3.59399i | −0.0899621 | + | 0.155819i | ||||
\(533\) | −4.93079 | + | 27.9639i | −0.213576 | + | 1.21125i | ||||
\(534\) | −0.304324 | − | 1.44549i | −0.0131694 | − | 0.0625524i | ||||
\(535\) | 7.75765 | + | 2.82355i | 0.335392 | + | 0.122073i | ||||
\(536\) | 2.44111 | + | 13.8442i | 0.105440 | + | 0.597980i | ||||
\(537\) | 31.7217 | − | 12.7450i | 1.36889 | − | 0.549988i | ||||
\(538\) | 4.99122 | + | 4.18813i | 0.215187 | + | 0.180563i | ||||
\(539\) | 1.63746 | 0.0705302 | ||||||||
\(540\) | −15.4100 | − | 10.5249i | −0.663139 | − | 0.452919i | ||||
\(541\) | −22.5335 | −0.968792 | −0.484396 | − | 0.874849i | \(-0.660961\pi\) | ||||
−0.484396 | + | 0.874849i | \(0.660961\pi\) | |||||||
\(542\) | 13.6685 | + | 11.4692i | 0.587112 | + | 0.492646i | ||||
\(543\) | −24.6047 | − | 19.3002i | −1.05589 | − | 0.828250i | ||||
\(544\) | −0.707828 | − | 4.01429i | −0.0303479 | − | 0.172111i | ||||
\(545\) | −13.4422 | − | 4.89255i | −0.575800 | − | 0.209574i | ||||
\(546\) | −10.6155 | − | 3.47192i | −0.454301 | − | 0.148584i | ||||
\(547\) | 7.32502 | − | 41.5423i | 0.313195 | − | 1.77622i | −0.268970 | − | 0.963149i | \(-0.586683\pi\) |
0.582165 | − | 0.813070i | \(-0.302206\pi\) | |||||||
\(548\) | 3.87845 | − | 6.71768i | 0.165679 | − | 0.286965i | ||||
\(549\) | 13.4652 | − | 27.3386i | 0.574681 | − | 1.16678i | ||||
\(550\) | −7.91817 | − | 13.7147i | −0.337632 | − | 0.584796i | ||||
\(551\) | −29.8497 | + | 10.8644i | −1.27164 | + | 0.462839i | ||||
\(552\) | 7.35056 | − | 13.7601i | 0.312861 | − | 0.585667i | ||||
\(553\) | −4.73453 | + | 3.97274i | −0.201333 | + | 0.168938i | ||||
\(554\) | −10.3410 | + | 8.67717i | −0.439349 | + | 0.368657i | ||||
\(555\) | −55.8797 | + | 1.84304i | −2.37196 | + | 0.0782327i | ||||
\(556\) | 8.34698 | − | 3.03805i | 0.353991 | − | 0.128842i | ||||
\(557\) | −5.00101 | − | 8.66200i | −0.211900 | − | 0.367021i | 0.740409 | − | 0.672156i | \(-0.234632\pi\) |
−0.952309 | + | 0.305135i | \(0.901298\pi\) | |||||||
\(558\) | −10.6443 | + | 10.1997i | −0.450610 | + | 0.431789i | ||||
\(559\) | 24.7582 | − | 42.8824i | 1.04716 | − | 1.81373i | ||||
\(560\) | 0.800484 | − | 4.53977i | 0.0338266 | − | 0.191840i | ||||
\(561\) | 1.79197 | − | 1.60722i | 0.0756569 | − | 0.0678570i | ||||
\(562\) | −3.29265 | − | 1.19843i | −0.138892 | − | 0.0505525i | ||||
\(563\) | −1.92456 | − | 10.9147i | −0.0811104 | − | 0.460000i | −0.998128 | − | 0.0611539i | \(-0.980522\pi\) |
0.917018 | − | 0.398846i | \(-0.130589\pi\) | |||||||
\(564\) | 0.0360215 | − | 0.252755i | 0.00151678 | − | 0.0106429i | ||||
\(565\) | −16.3043 | − | 13.6809i | −0.685928 | − | 0.575562i | ||||
\(566\) | −1.66869 | −0.0701402 | ||||||||
\(567\) | 6.07379 | − | 6.64146i | 0.255075 | − | 0.278915i | ||||
\(568\) | −16.4436 | −0.689957 | ||||||||
\(569\) | 4.51145 | + | 3.78556i | 0.189130 | + | 0.158699i | 0.732436 | − | 0.680836i | \(-0.238383\pi\) |
−0.543306 | + | 0.839535i | \(0.682828\pi\) | |||||||
\(570\) | −4.18078 | + | 29.3355i | −0.175113 | + | 1.22873i | ||||
\(571\) | −3.77217 | − | 21.3930i | −0.157860 | − | 0.895270i | −0.956124 | − | 0.292962i | \(-0.905359\pi\) |
0.798264 | − | 0.602308i | \(-0.205752\pi\) | |||||||
\(572\) | −9.13947 | − | 3.32649i | −0.382140 | − | 0.139088i | ||||
\(573\) | −13.7193 | + | 12.3049i | −0.573132 | + | 0.514044i | ||||
\(574\) | 0.806129 | − | 4.57178i | 0.0336472 | − | 0.190823i | ||||
\(575\) | 14.0247 | − | 24.2915i | 0.584871 | − | 1.01303i | ||||
\(576\) | 5.25805 | + | 21.4423i | 0.219085 | + | 0.893428i | ||||
\(577\) | −4.78131 | − | 8.28148i | −0.199049 | − | 0.344762i | 0.749172 | − | 0.662376i | \(-0.230452\pi\) |
−0.948220 | + | 0.317614i | \(0.897119\pi\) | |||||||
\(578\) | 15.7072 | − | 5.71695i | 0.653333 | − | 0.237794i | ||||
\(579\) | 29.8878 | − | 0.985768i | 1.24209 | − | 0.0409671i | ||||
\(580\) | −19.9162 | + | 16.7116i | −0.826973 | + | 0.693913i | ||||
\(581\) | 1.62520 | − | 1.36370i | 0.0674246 | − | 0.0565760i | ||||
\(582\) | 7.97270 | − | 14.9247i | 0.330479 | − | 0.618648i | ||||
\(583\) | −19.4959 | + | 7.09591i | −0.807436 | + | 0.293883i | ||||
\(584\) | −2.28680 | − | 3.96085i | −0.0946285 | − | 0.163901i | ||||
\(585\) | 71.3884 | − | 4.71424i | 2.95155 | − | 0.194910i | ||||
\(586\) | 5.80985 | − | 10.0629i | 0.240003 | − | 0.415697i | ||||
\(587\) | −0.579987 | + | 3.28927i | −0.0239386 | + | 0.135763i | −0.994435 | − | 0.105354i | \(-0.966402\pi\) |
0.970496 | + | 0.241117i | \(0.0775136\pi\) | |||||||
\(588\) | −1.55696 | − | 0.509223i | −0.0642081 | − | 0.0210000i | ||||
\(589\) | −19.7344 | − | 7.18272i | −0.813140 | − | 0.295959i | ||||
\(590\) | 2.26525 | + | 12.8469i | 0.0932589 | + | 0.528897i | ||||
\(591\) | −0.977163 | − | 0.766495i | −0.0401951 | − | 0.0315294i | ||||
\(592\) | 7.90537 | + | 6.63339i | 0.324909 | + | 0.272631i | ||||
\(593\) | −24.3048 | −0.998080 | −0.499040 | − | 0.866579i | \(-0.666314\pi\) | ||||
−0.499040 | + | 0.866579i | \(0.666314\pi\) | |||||||
\(594\) | −6.10503 | + | 6.24889i | −0.250492 | + | 0.256395i | ||||
\(595\) | 3.22287 | 0.132125 | ||||||||
\(596\) | −5.59767 | − | 4.69700i | −0.229289 | − | 0.192397i | ||||
\(597\) | 8.29938 | − | 3.33449i | 0.339671 | − | 0.136472i | ||||
\(598\) | 3.33445 | + | 18.9106i | 0.136356 | + | 0.773311i | ||||
\(599\) | −22.8148 | − | 8.30390i | −0.932187 | − | 0.339288i | −0.169111 | − | 0.985597i | \(-0.554090\pi\) |
−0.763076 | + | 0.646309i | \(0.776312\pi\) | |||||||
\(600\) | 10.1660 | + | 48.2867i | 0.415024 | + | 1.97129i | ||||
\(601\) | 2.79563 | − | 15.8548i | 0.114036 | − | 0.646730i | −0.873187 | − | 0.487385i | \(-0.837951\pi\) |
0.987223 | − | 0.159345i | \(-0.0509382\pi\) | |||||||
\(602\) | −4.04768 | + | 7.01079i | −0.164971 | + | 0.285738i | ||||
\(603\) | 12.7599 | − | 5.62197i | 0.519624 | − | 0.228944i | ||||
\(604\) | 6.56380 | + | 11.3688i | 0.267077 | + | 0.462591i | ||||
\(605\) | −29.6835 | + | 10.8039i | −1.20681 | + | 0.439241i | ||||
\(606\) | −5.90247 | − | 9.48676i | −0.239772 | − | 0.385373i | ||||
\(607\) | 7.84648 | − | 6.58398i | 0.318479 | − | 0.267236i | −0.469507 | − | 0.882929i | \(-0.655568\pi\) |
0.787986 | + | 0.615693i | \(0.211124\pi\) | |||||||
\(608\) | −16.1436 | + | 13.5461i | −0.654711 | + | 0.549367i | ||||
\(609\) | −6.62393 | − | 10.6463i | −0.268415 | − | 0.431411i | ||||
\(610\) | −37.2172 | + | 13.5460i | −1.50688 | + | 0.548460i | ||||
\(611\) | 0.489405 | + | 0.847675i | 0.0197992 | + | 0.0342933i | ||||
\(612\) | −2.20370 | + | 0.970943i | −0.0890793 | + | 0.0392480i | ||||
\(613\) | 15.3227 | − | 26.5396i | 0.618876 | − | 1.07192i | −0.370815 | − | 0.928707i | \(-0.620922\pi\) |
0.989691 | − | 0.143218i | \(-0.0457450\pi\) | |||||||
\(614\) | 0.301250 | − | 1.70847i | 0.0121575 | − | 0.0689483i | ||||
\(615\) | 6.12637 | + | 29.0992i | 0.247039 | + | 1.17339i | ||||
\(616\) | 4.65395 | + | 1.69390i | 0.187513 | + | 0.0682492i | ||||
\(617\) | 2.48396 | + | 14.0872i | 0.100000 | + | 0.567131i | 0.993100 | + | 0.117271i | \(0.0374148\pi\) |
−0.893099 | + | 0.449859i | \(0.851474\pi\) | |||||||
\(618\) | −10.0733 | + | 4.04722i | −0.405209 | + | 0.162803i | ||||
\(619\) | −7.70903 | − | 6.46864i | −0.309852 | − | 0.259997i | 0.474579 | − | 0.880213i | \(-0.342600\pi\) |
−0.784431 | + | 0.620216i | \(0.787045\pi\) | |||||||
\(620\) | −17.1884 | −0.690302 | ||||||||
\(621\) | −14.9919 | − | 3.83052i | −0.601602 | − | 0.153714i | ||||
\(622\) | 17.3297 | 0.694860 | ||||||||
\(623\) | 0.636294 | + | 0.533914i | 0.0254926 | + | 0.0213908i | ||||
\(624\) | −10.3902 | − | 8.15018i | −0.415942 | − | 0.326268i | ||||
\(625\) | 2.88715 | + | 16.3739i | 0.115486 | + | 0.654955i | ||||
\(626\) | 29.4602 | + | 10.7226i | 1.17747 | + | 0.428562i | ||||
\(627\) | −11.8283 | − | 3.86858i | −0.472377 | − | 0.154496i | ||||
\(628\) | 0.377081 | − | 2.13853i | 0.0150472 | − | 0.0853368i | ||||
\(629\) | −3.60743 | + | 6.24825i | −0.143838 | + | 0.249134i | ||||
\(630\) | −11.6712 | + | 0.770725i | −0.464992 | + | 0.0307064i | ||||
\(631\) | 20.1736 | + | 34.9417i | 0.803099 | + | 1.39101i | 0.917567 | + | 0.397581i | \(0.130150\pi\) |
−0.114468 | + | 0.993427i | \(0.536516\pi\) | |||||||
\(632\) | −17.5661 | + | 6.39354i | −0.698742 | + | 0.254321i | ||||
\(633\) | −1.94149 | + | 3.63441i | −0.0771672 | + | 0.144455i | ||||
\(634\) | 7.51209 | − | 6.30340i | 0.298343 | − | 0.250340i | ||||
\(635\) | 14.5489 | − | 12.2080i | 0.577357 | − | 0.484460i | ||||
\(636\) | 20.7442 | − | 0.684192i | 0.822562 | − | 0.0271300i | ||||
\(637\) | 5.90154 | − | 2.14799i | 0.233828 | − | 0.0851063i | ||||
\(638\) | 6.08557 | + | 10.5405i | 0.240930 | + | 0.417303i | ||||
\(639\) | 3.88440 | + | 15.8406i | 0.153665 | + | 0.626643i | ||||
\(640\) | −3.89097 | + | 6.73936i | −0.153804 | + | 0.266397i | ||||
\(641\) | 3.74680 | − | 21.2491i | 0.147990 | − | 0.839291i | −0.816928 | − | 0.576739i | \(-0.804325\pi\) |
0.964918 | − | 0.262552i | \(-0.0845640\pi\) | |||||||
\(642\) | −2.87826 | + | 2.58152i | −0.113596 | + | 0.101885i | ||||
\(643\) | 26.3560 | + | 9.59278i | 1.03938 | + | 0.378302i | 0.804644 | − | 0.593757i | \(-0.202356\pi\) |
0.234733 | + | 0.972060i | \(0.424578\pi\) | |||||||
\(644\) | 0.489060 | + | 2.77360i | 0.0192717 | + | 0.109295i | ||||
\(645\) | 7.31641 | − | 51.3375i | 0.288083 | − | 2.02141i | ||||
\(646\) | 2.92922 | + | 2.45791i | 0.115249 | + | 0.0967051i | ||||
\(647\) | 34.8829 | 1.37139 | 0.685695 | − | 0.727889i | \(-0.259499\pi\) | ||||
0.685695 | + | 0.727889i | \(0.259499\pi\) | |||||||
\(648\) | 24.1332 | − | 12.5931i | 0.948043 | − | 0.494704i | ||||
\(649\) | −5.47868 | −0.215057 | ||||||||
\(650\) | −46.5285 | − | 39.0420i | −1.82500 | − | 1.53136i | ||||
\(651\) | 1.16959 | − | 8.20676i | 0.0458400 | − | 0.321648i | ||||
\(652\) | −2.52113 | − | 14.2980i | −0.0987351 | − | 0.559955i | ||||
\(653\) | 40.3590 | + | 14.6895i | 1.57937 | + | 0.574844i | 0.975067 | − | 0.221910i | \(-0.0712291\pi\) |
0.604304 | + | 0.796754i | \(0.293451\pi\) | |||||||
\(654\) | 4.98734 | − | 4.47317i | 0.195021 | − | 0.174915i | ||||
\(655\) | −12.3804 | + | 70.2128i | −0.483743 | + | 2.74344i | ||||
\(656\) | 2.74440 | − | 4.75344i | 0.107151 | − | 0.185591i | ||||
\(657\) | −3.27540 | + | 3.13860i | −0.127786 | + | 0.122448i | ||||
\(658\) | −0.0800123 | − | 0.138585i | −0.00311920 | − | 0.00540262i | ||||
\(659\) | −2.84942 | + | 1.03711i | −0.110998 | + | 0.0403999i | −0.396922 | − | 0.917852i | \(-0.629922\pi\) |
0.285924 | + | 0.958252i | \(0.407699\pi\) | |||||||
\(660\) | −10.1801 | + | 0.335763i | −0.396260 | + | 0.0130696i | ||||
\(661\) | 17.7441 | − | 14.8890i | 0.690164 | − | 0.579116i | −0.228793 | − | 0.973475i | \(-0.573478\pi\) |
0.918956 | + | 0.394359i | \(0.129033\pi\) | |||||||
\(662\) | 14.9029 | − | 12.5050i | 0.579216 | − | 0.486020i | ||||
\(663\) | 4.35009 | − | 8.14325i | 0.168943 | − | 0.316257i | ||||
\(664\) | 6.02983 | − | 2.19468i | 0.234003 | − | 0.0851701i | ||||
\(665\) | −8.33109 | − | 14.4299i | −0.323066 | − | 0.559566i | ||||
\(666\) | 11.5696 | − | 23.4900i | 0.448314 | − | 0.910217i | ||||
\(667\) | −10.7788 | + | 18.6694i | −0.417357 | + | 0.722883i | ||||
\(668\) | 1.27288 | − | 7.21886i | 0.0492492 | − | 0.279306i | ||||
\(669\) | −15.4653 | − | 5.05812i | −0.597924 | − | 0.195558i | ||||
\(670\) | −17.0285 | − | 6.19787i | −0.657869 | − | 0.239445i | ||||
\(671\) | −2.88841 | − | 16.3810i | −0.111506 | − | 0.632381i | ||||
\(672\) | −6.54518 | − | 5.13410i | −0.252486 | − | 0.198052i | ||||
\(673\) | −18.0612 | − | 15.1551i | −0.696208 | − | 0.584188i | 0.224484 | − | 0.974478i | \(-0.427930\pi\) |
−0.920692 | + | 0.390290i | \(0.872375\pi\) | |||||||
\(674\) | 11.8178 | 0.455204 | ||||||||
\(675\) | 44.1145 | − | 21.1998i | 1.69797 | − | 0.815979i | ||||
\(676\) | −25.0081 | −0.961850 | ||||||||
\(677\) | 9.98972 | + | 8.38237i | 0.383936 | + | 0.322161i | 0.814245 | − | 0.580521i | \(-0.197151\pi\) |
−0.430309 | + | 0.902682i | \(0.641595\pi\) | |||||||
\(678\) | 9.24932 | − | 3.71615i | 0.355218 | − | 0.142718i | ||||
\(679\) | 1.65219 | + | 9.37004i | 0.0634053 | + | 0.359589i | ||||
\(680\) | 9.15998 | + | 3.33396i | 0.351269 | + | 0.127852i | ||||
\(681\) | −7.54338 | − | 35.8298i | −0.289063 | − | 1.37300i | ||||
\(682\) | −1.39728 | + | 7.92439i | −0.0535048 | + | 0.303441i | ||||
\(683\) | 11.2143 | − | 19.4238i | 0.429104 | − | 0.743230i | −0.567690 | − | 0.823242i | \(-0.692163\pi\) |
0.996794 | + | 0.0800127i | \(0.0254961\pi\) | |||||||
\(684\) | 10.0438 | + | 7.35683i | 0.384034 | + | 0.281296i | ||||
\(685\) | 15.5720 | + | 26.9715i | 0.594976 | + | 1.03053i | ||||
\(686\) | −0.964836 | + | 0.351172i | −0.0368376 | + | 0.0134078i | ||||
\(687\) | −7.42378 | − | 11.9319i | −0.283235 | − | 0.455230i | ||||
\(688\) | −7.33218 | + | 6.15243i | −0.279537 | + | 0.234559i | ||||
\(689\) | −60.9566 | + | 51.1486i | −2.32226 | + | 1.94861i | ||||
\(690\) | 10.6235 | + | 17.0746i | 0.404429 | + | 0.650020i | ||||
\(691\) | −15.4584 | + | 5.62641i | −0.588067 | + | 0.214039i | −0.618879 | − | 0.785486i | \(-0.712413\pi\) |
0.0308123 | + | 0.999525i | \(0.490191\pi\) | |||||||
\(692\) | −11.6457 | − | 20.1710i | −0.442704 | − | 0.766786i | ||||
\(693\) | 0.532397 | − | 4.88343i | 0.0202241 | − | 0.185506i | ||||
\(694\) | 0.334958 | − | 0.580164i | 0.0127148 | − | 0.0220227i | ||||
\(695\) | −6.19298 | + | 35.1222i | −0.234913 | + | 1.33226i | ||||
\(696\) | −7.81313 | − | 37.1111i | −0.296156 | − | 1.40669i | ||||
\(697\) | 3.60598 | + | 1.31247i | 0.136586 | + | 0.0497133i | ||||
\(698\) | −6.47859 | − | 36.7419i | −0.245218 | − | 1.39070i | ||||
\(699\) | 14.5040 | − | 5.82737i | 0.548593 | − | 0.220411i | ||||
\(700\) | −6.82429 | − | 5.72626i | −0.257934 | − | 0.216432i | ||||
\(701\) | 22.8729 | 0.863899 | 0.431949 | − | 0.901898i | \(-0.357826\pi\) | ||||
0.431949 | + | 0.901898i | \(0.357826\pi\) | |||||||
\(702\) | −13.8059 | + | 30.5300i | −0.521070 | + | 1.15228i | ||||
\(703\) | 37.3007 | 1.40682 | ||||||||
\(704\) | 9.23109 | + | 7.74581i | 0.347910 | + | 0.291931i | ||||
\(705\) | 0.806539 | + | 0.632656i | 0.0303760 | + | 0.0238272i | ||||
\(706\) | 0.268815 | + | 1.52452i | 0.0101170 | + | 0.0573762i | ||||
\(707\) | 5.90378 | + | 2.14880i | 0.222035 | + | 0.0808140i | ||||
\(708\) | 5.20937 | + | 1.70379i | 0.195780 | + | 0.0640322i | ||||
\(709\) | 1.16037 | − | 6.58080i | 0.0435787 | − | 0.247147i | −0.955235 | − | 0.295849i | \(-0.904397\pi\) |
0.998813 | + | 0.0487022i | \(0.0155085\pi\) | |||||||
\(710\) | 10.5984 | − | 18.3569i | 0.397750 | − | 0.688923i | ||||
\(711\) | 10.3087 | + | 15.4116i | 0.386605 | + | 0.577981i | ||||
\(712\) | 1.25615 | + | 2.17571i | 0.0470761 | + | 0.0815382i | ||||
\(713\) | −13.3927 | + | 4.87456i | −0.501562 | + | 0.182554i | ||||
\(714\) | −0.711190 | + | 1.33133i | −0.0266156 | + | 0.0498237i | ||||
\(715\) | 29.9140 | − | 25.1009i | 1.11872 | − | 0.938719i | ||||
\(716\) | −14.2999 | + | 11.9990i | −0.534411 | + | 0.448424i | ||||
\(717\) | 10.6529 | − | 0.351357i | 0.397840 | − | 0.0131217i | ||||
\(718\) | −35.9325 | + | 13.0784i | −1.34099 | + | 0.488080i | ||||
\(719\) | 16.4784 | + | 28.5413i | 0.614539 | + | 1.06441i | 0.990465 | + | 0.137763i | \(0.0439912\pi\) |
−0.375926 | + | 0.926650i | \(0.622675\pi\) | |||||||
\(720\) | −13.2788 | − | 3.86335i | −0.494872 | − | 0.143979i | ||||
\(721\) | 3.05218 | − | 5.28653i | 0.113669 | − | 0.196881i | ||||
\(722\) | 0.0452775 | − | 0.256782i | 0.00168505 | − | 0.00955642i | ||||
\(723\) | −23.0636 | + | 20.6858i | −0.857745 | + | 0.769315i | ||||
\(724\) | 16.0456 | + | 5.84012i | 0.596330 | + | 0.217046i | ||||
\(725\) | −11.8408 | − | 67.1527i | −0.439757 | − | 2.49399i | ||||
\(726\) | 2.08729 | − | 14.6460i | 0.0774666 | − | 0.543565i | ||||
\(727\) | 12.4578 | + | 10.4534i | 0.462035 | + | 0.387694i | 0.843879 | − | 0.536533i | \(-0.180266\pi\) |
−0.381844 | + | 0.924227i | \(0.624711\pi\) | |||||||
\(728\) | 18.9953 | 0.704013 | ||||||||
\(729\) | −17.8322 | − | 20.2734i | −0.660452 | − | 0.750868i | ||||
\(730\) | 5.89564 | 0.218208 | ||||||||
\(731\) | −5.12617 | − | 4.30137i | −0.189598 | − | 0.159092i | ||||
\(732\) | −2.34781 | + | 16.4740i | −0.0867774 | + | 0.608896i | ||||
\(733\) | 7.99914 | + | 45.3654i | 0.295455 | + | 1.67561i | 0.665347 | + | 0.746534i | \(0.268284\pi\) |
−0.369892 | + | 0.929075i | \(0.620605\pi\) | |||||||
\(734\) | −32.5984 | − | 11.8648i | −1.20323 | − | 0.437939i | ||||
\(735\) | 4.89623 | − | 4.39145i | 0.180600 | − | 0.161981i | ||||
\(736\) | −2.48350 | + | 14.0846i | −0.0915429 | + | 0.519166i | ||||
\(737\) | 3.80532 | − | 6.59101i | 0.140171 | − | 0.242783i | ||||
\(738\) | −13.3725 | − | 3.89060i | −0.492247 | − | 0.143215i | ||||
\(739\) | −23.3972 | − | 40.5251i | −0.860679 | − | 1.49074i | −0.871275 | − | 0.490795i | \(-0.836706\pi\) |
0.0105964 | − | 0.999944i | \(-0.496627\pi\) | |||||||
\(740\) | 28.6880 | − | 10.4416i | 1.05459 | − | 0.383840i | ||||
\(741\) | −47.7050 | + | 1.57342i | −1.75249 | + | 0.0578011i | ||||
\(742\) | 9.96571 | − | 8.36223i | 0.365853 | − | 0.306987i | ||||
\(743\) | 12.6273 | − | 10.5955i | 0.463249 | − | 0.388712i | −0.381076 | − | 0.924544i | \(-0.624446\pi\) |
0.844325 | + | 0.535832i | \(0.180002\pi\) | |||||||
\(744\) | 11.8139 | − | 22.1152i | 0.433117 | − | 0.810783i | ||||
\(745\) | 27.5692 | − | 10.0344i | 1.01006 | − | 0.367631i | ||||
\(746\) | −2.47142 | − | 4.28062i | −0.0904849 | − | 0.156725i | ||||
\(747\) | −3.53860 | − | 5.29027i | −0.129471 | − | 0.193561i | ||||
\(748\) | −0.657198 | + | 1.13830i | −0.0240295 | + | 0.0416204i | ||||
\(749\) | 0.377522 | − | 2.14103i | 0.0137944 | − | 0.0782317i | ||||
\(750\) | −28.3651 | − | 9.27713i | −1.03575 | − | 0.338753i | ||||
\(751\) | −40.0385 | − | 14.5728i | −1.46102 | − | 0.531769i | −0.515377 | − | 0.856963i | \(-0.672348\pi\) |
−0.945647 | + | 0.325194i | \(0.894570\pi\) | |||||||
\(752\) | −0.0328549 | − | 0.186329i | −0.00119809 | − | 0.00679473i | ||||
\(753\) | 36.6126 | + | 28.7192i | 1.33424 | + | 1.04659i | ||||
\(754\) | 35.7598 | + | 30.0060i | 1.30230 | + | 1.09276i | ||||
\(755\) | −52.7074 | −1.91822 | ||||||||
\(756\) | −2.02490 | + | 4.47781i | −0.0736448 | + | 0.162856i | ||||
\(757\) | 24.6290 | 0.895155 | 0.447578 | − | 0.894245i | \(-0.352287\pi\) | ||||
0.447578 | + | 0.894245i | \(0.352287\pi\) | |||||||
\(758\) | −20.3637 | − | 17.0872i | −0.739644 | − | 0.620635i | ||||
\(759\) | −7.83684 | + | 3.14865i | −0.284459 | + | 0.114289i | ||||
\(760\) | −8.75122 | − | 49.6306i | −0.317440 | − | 1.80029i | ||||
\(761\) | 24.8848 | + | 9.05734i | 0.902074 | + | 0.328328i | 0.751084 | − | 0.660207i | \(-0.229531\pi\) |
0.150991 | + | 0.988535i | \(0.451754\pi\) | |||||||
\(762\) | 1.83247 | + | 8.70394i | 0.0663835 | + | 0.315310i | ||||
\(763\) | −0.654157 | + | 3.70991i | −0.0236821 | + | 0.134308i | ||||
\(764\) | 5.03150 | − | 8.71482i | 0.182033 | − | 0.315291i | ||||
\(765\) | 1.04787 | − | 9.61165i | 0.0378859 | − | 0.347510i | ||||
\(766\) | −10.4618 | − | 18.1204i | −0.378002 | − | 0.654718i | ||||
\(767\) | −19.7457 | + | 7.18684i | −0.712975 | + | 0.259502i | ||||
\(768\) | −15.3927 | − | 24.7399i | −0.555434 | − | 0.892723i | ||||
\(769\) | −9.23195 | + | 7.74652i | −0.332913 | + | 0.279347i | −0.793885 | − | 0.608067i | \(-0.791945\pi\) |
0.460973 | + | 0.887414i | \(0.347501\pi\) | |||||||
\(770\) | −4.89061 | + | 4.10371i | −0.176245 | + | 0.147887i | ||||
\(771\) | 12.9556 | + | 20.8229i | 0.466585 | + | 0.749919i | ||||
\(772\) | −15.3441 | + | 5.58479i | −0.552245 | + | 0.201001i | ||||
\(773\) | −6.38630 | − | 11.0614i | −0.229699 | − | 0.397851i | 0.728020 | − | 0.685556i | \(-0.240441\pi\) |
−0.957719 | + | 0.287705i | \(0.907108\pi\) | |||||||
\(774\) | 19.5924 | + | 14.3510i | 0.704235 | + | 0.515835i | ||||
\(775\) | 22.5406 | − | 39.0414i | 0.809681 | − | 1.40241i | ||||
\(776\) | −4.99720 | + | 28.3405i | −0.179389 | + | 1.01737i | ||||
\(777\) | 3.03335 | + | 14.4079i | 0.108821 | + | 0.516880i | ||||
\(778\) | 5.38129 | + | 1.95863i | 0.192929 | + | 0.0702203i | ||||
\(779\) | −3.44506 | − | 19.5379i | −0.123432 | − | 0.700018i | ||||
\(780\) | −36.2495 | + | 14.5642i | −1.29794 | + | 0.521481i | ||||
\(781\) | 6.81951 | + | 5.72225i | 0.244021 | + | 0.204758i | ||||
\(782\) | 2.59504 | 0.0927985 | ||||||||
\(783\) | −33.9045 | + | 16.2932i | −1.21165 | + | 0.582273i | ||||
\(784\) | −1.21398 | −0.0433563 | ||||||||
\(785\) | 6.67890 | + | 5.60426i | 0.238380 | + | 0.200025i | ||||
\(786\) | −26.2721 | − | 20.6081i | −0.937096 | − | 0.735066i | ||||
\(787\) | 1.73622 | + | 9.84659i | 0.0618895 | + | 0.350993i | 0.999989 | + | 0.00462780i | \(0.00147308\pi\) |
−0.938100 | + | 0.346365i | \(0.887416\pi\) | |||||||
\(788\) | 0.637241 | + | 0.231937i | 0.0227008 | + | 0.00826241i | ||||
\(789\) | −12.8523 | − | 4.20348i | −0.457552 | − | 0.149648i | ||||
\(790\) | 4.18440 | − | 23.7309i | 0.148874 | − | 0.844307i | ||||
\(791\) | −2.80251 | + | 4.85409i | −0.0996457 | + | 0.172591i | ||||
\(792\) | 6.56494 | − | 13.3289i | 0.233275 | − | 0.473621i | ||||
\(793\) | −31.8984 | − | 55.2496i | −1.13274 | − | 1.96197i | ||||
\(794\) | −13.4328 | + | 4.88913i | −0.476712 | + | 0.173509i | ||||
\(795\) | −39.2651 | + | 73.5032i | −1.39259 | + | 2.60689i | ||||
\(796\) | −3.74128 | + | 3.13931i | −0.132606 | + | 0.111270i | ||||
\(797\) | −33.1759 | + | 27.8379i | −1.17515 | + | 0.986069i | −0.175153 | + | 0.984541i | \(0.556042\pi\) |
−0.999999 | + | 0.00152789i | \(0.999514\pi\) | |||||||
\(798\) | 7.79924 | − | 0.257237i | 0.276090 | − | 0.00910608i | ||||
\(799\) | 0.124301 | − | 0.0452419i | 0.00439746 | − | 0.00160054i | ||||
\(800\) | −22.6191 | − | 39.1774i | −0.799706 | − | 1.38513i | ||||
\(801\) | 1.79919 | − | 1.72404i | 0.0635713 | − | 0.0609161i | ||||
\(802\) | −0.398686 | + | 0.690544i | −0.0140781 | + | 0.0243840i | ||||
\(803\) | −0.429964 | + | 2.43844i | −0.0151731 | + | 0.0860508i | ||||
\(804\) | −5.66796 | + | 5.08362i | −0.199894 | + | 0.179285i | ||||
\(805\) | −10.6259 | − | 3.86749i | −0.374512 | − | 0.136311i | ||||
\(806\) | 5.35914 | + | 30.3932i | 0.188768 | + | 1.07055i | ||||
\(807\) | −1.55075 | + | 10.8813i | −0.0545891 | + | 0.383039i | ||||
\(808\) | 14.5568 | + | 12.2146i | 0.512106 | + | 0.429708i | ||||
\(809\) | 19.6620 | 0.691278 | 0.345639 | − | 0.938367i | \(-0.387662\pi\) | ||||
0.345639 | + | 0.938367i | \(0.387662\pi\) | |||||||
\(810\) | −1.49618 | + | 35.0580i | −0.0525705 | + | 1.23181i | ||||
\(811\) | −6.55208 | −0.230075 | −0.115037 | − | 0.993361i | \(-0.536699\pi\) | ||||
−0.115037 | + | 0.993361i | \(0.536699\pi\) | |||||||
\(812\) | 5.24486 | + | 4.40096i | 0.184058 | + | 0.154443i | ||||
\(813\) | −4.24675 | + | 29.7984i | −0.148940 | + | 1.04508i | ||||
\(814\) | −2.48179 | − | 14.0749i | −0.0869867 | − | 0.493326i | ||||
\(815\) | 54.7769 | + | 19.9371i | 1.91875 | + | 0.698368i | ||||
\(816\) | −1.32853 | + | 1.19156i | −0.0465078 | + | 0.0417130i | ||||
\(817\) | −6.00757 | + | 34.0706i | −0.210178 | + | 1.19198i | ||||
\(818\) | 7.96542 | − | 13.7965i | 0.278504 | − | 0.482384i | ||||
\(819\) | −4.48719 | − | 18.2987i | −0.156795 | − | 0.639409i | ||||
\(820\) | −8.11885 | − | 14.0623i | −0.283522 | − | 0.491075i | ||||
\(821\) | 45.5151 | − | 16.5662i | 1.58849 | − | 0.578163i | 0.611461 | − | 0.791274i | \(-0.290582\pi\) |
0.977028 | + | 0.213111i | \(0.0683597\pi\) | |||||||
\(822\) | −14.5779 | + | 0.480813i | −0.508463 | + | 0.0167703i | ||||
\(823\) | −34.8141 | + | 29.2125i | −1.21354 | + | 1.01828i | −0.214406 | + | 0.976745i | \(0.568782\pi\) |
−0.999137 | + | 0.0415387i | \(0.986774\pi\) | |||||||
\(824\) | 14.1436 | − | 11.8679i | 0.492716 | − | 0.413438i | ||||
\(825\) | 12.5874 | − | 23.5632i | 0.438236 | − | 0.820366i | ||||
\(826\) | 3.22820 | − | 1.17497i | 0.112323 | − | 0.0408823i | ||||
\(827\) | −18.7421 | − | 32.4622i | −0.651725 | − | 1.12882i | −0.982704 | − | 0.185183i | \(-0.940712\pi\) |
0.330979 | − | 0.943638i | \(-0.392621\pi\) | |||||||
\(828\) | 8.43079 | − | 0.556739i | 0.292990 | − | 0.0193480i | ||||
\(829\) | 6.33851 | − | 10.9786i | 0.220146 | − | 0.381303i | −0.734706 | − | 0.678385i | \(-0.762680\pi\) |
0.954852 | + | 0.297082i | \(0.0960134\pi\) | |||||||
\(830\) | −1.43636 | + | 8.14599i | −0.0498567 | + | 0.282751i | ||||
\(831\) | −21.6439 | − | 7.07889i | −0.750819 | − | 0.245564i | ||||
\(832\) | 43.4305 | + | 15.8074i | 1.50568 | + | 0.548023i | ||||
\(833\) | −0.147381 | − | 0.835838i | −0.00510644 | − | 0.0289601i | ||||
\(834\) | −13.1420 | − | 10.3087i | −0.455069 | − | 0.356960i | ||||
\(835\) | 22.5454 | + | 18.9178i | 0.780214 | + | 0.654677i | ||||
\(836\) | 6.79540 | 0.235024 | ||||||||
\(837\) | −24.0950 | − | 6.15643i | −0.832844 | − | 0.212797i | ||||
\(838\) | −11.8612 | −0.409740 | ||||||||
\(839\) | 7.69628 | + | 6.45794i | 0.265705 | + | 0.222953i | 0.765900 | − | 0.642960i | \(-0.222294\pi\) |
−0.500195 | + | 0.865913i | \(0.666738\pi\) | |||||||
\(840\) | 18.4588 | − | 7.41630i | 0.636889 | − | 0.255887i | ||||
\(841\) | 4.06456 | + | 23.0512i | 0.140157 | + | 0.794871i | ||||
\(842\) | 26.2578 | + | 9.55706i | 0.904904 | + | 0.329358i | ||||
\(843\) | −1.21774 | − | 5.78408i | −0.0419413 | − | 0.199214i | ||||
\(844\) | 0.390699 | − | 2.21577i | 0.0134484 | − | 0.0762698i | ||||
\(845\) | 50.2038 | − | 86.9556i | 1.72706 | − | 2.99136i | ||||
\(846\) | −0.439322 | + | 0.193564i | −0.0151042 | + | 0.00665486i | ||||
\(847\) | 4.15937 | + | 7.20424i | 0.142918 | + | 0.247541i | ||||
\(848\) | 14.4538 | − | 5.26077i | 0.496347 | − | 0.180656i | ||||
\(849\) | −1.48706 | − | 2.39009i | −0.0510359 | − | 0.0820275i | ||||
\(850\) | −6.28796 | + | 5.27623i | −0.215675 | + | 0.180973i | ||||
\(851\) | 19.3918 | − | 16.2716i | 0.664741 | − | 0.557784i | ||||
\(852\) | −4.70475 | − | 7.56172i | −0.161182 | − | 0.259060i | ||||
\(853\) | −7.77992 | + | 2.83166i | −0.266379 | + | 0.0969542i | −0.471757 | − | 0.881729i | \(-0.656380\pi\) |
0.205377 | + | 0.978683i | \(0.434158\pi\) | |||||||
\(854\) | 5.21503 | + | 9.03269i | 0.178454 | + | 0.309092i | ||||
\(855\) | −45.7434 | + | 20.1544i | −1.56439 | + | 0.689265i | ||||
\(856\) | 3.28783 | − | 5.69468i | 0.112376 | − | 0.194640i | ||||
\(857\) | 5.61976 | − | 31.8712i | 0.191967 | − | 1.08870i | −0.724704 | − | 0.689060i | \(-0.758024\pi\) |
0.916672 | − | 0.399641i | \(-0.130865\pi\) | |||||||
\(858\) | 3.76774 | + | 17.8962i | 0.128629 | + | 0.610965i | ||||
\(859\) | −26.9649 | − | 9.81442i | −0.920031 | − | 0.334864i | −0.161780 | − | 0.986827i | \(-0.551723\pi\) |
−0.758251 | + | 0.651963i | \(0.773946\pi\) | |||||||
\(860\) | 4.91696 | + | 27.8854i | 0.167667 | + | 0.950886i | ||||
\(861\) | 7.26661 | − | 2.91955i | 0.247646 | − | 0.0994979i | ||||
\(862\) | −29.5229 | − | 24.7727i | −1.00555 | − | 0.843760i | ||||
\(863\) | 42.3613 | 1.44200 | 0.720998 | − | 0.692937i | \(-0.243684\pi\) | ||||
0.720998 | + | 0.692937i | \(0.243684\pi\) | |||||||
\(864\) | −17.4396 | + | 17.8506i | −0.593309 | + | 0.607290i | ||||
\(865\) | 93.5153 | 3.17961 | ||||||||
\(866\) | −25.9506 | − | 21.7751i | −0.881836 | − | 0.739948i | ||||
\(867\) | 22.1860 | + | 17.4029i | 0.753477 | + | 0.591034i | ||||
\(868\) | 0.786019 | + | 4.45774i | 0.0266792 | + | 0.151305i | ||||
\(869\) | 9.50996 | + | 3.46134i | 0.322603 | + | 0.117418i | ||||
\(870\) | 46.4650 | + | 15.1969i | 1.57531 | + | 0.515224i | ||||
\(871\) | 5.06876 | − | 28.7463i | 0.171748 | − | 0.974033i | ||||
\(872\) | −5.69703 | + | 9.86754i | −0.192926 | + | 0.334157i | ||||
\(873\) | 28.4817 | − | 1.88083i | 0.963961 | − | 0.0636566i | ||||
\(874\) | −6.70816 | − | 11.6189i | −0.226907 | − | 0.393014i | ||||
\(875\) | 15.7692 | − | 5.73952i | 0.533096 | − | 0.194031i | ||||
\(876\) | 1.16715 | − | 2.18487i | 0.0394342 | − | 0.0738198i | ||||
\(877\) | 3.60840 | − | 3.02781i | 0.121847 | − | 0.102242i | −0.579828 | − | 0.814739i | \(-0.696880\pi\) |
0.701675 | + | 0.712497i | \(0.252436\pi\) | |||||||
\(878\) | −1.92203 | + | 1.61278i | −0.0648655 | + | 0.0544286i | ||||
\(879\) | 19.5908 | − | 0.646149i | 0.660780 | − | 0.0217941i | ||||
\(880\) | −7.09313 | + | 2.58169i | −0.239109 | + | 0.0870287i | ||||
\(881\) | −13.0334 | − | 22.5746i | −0.439107 | − | 0.760556i | 0.558513 | − | 0.829495i | \(-0.311372\pi\) |
−0.997621 | + | 0.0689391i | \(0.978039\pi\) | |||||||
\(882\) | 0.733605 | + | 2.99164i | 0.0247018 | + | 0.100734i | ||||
\(883\) | −15.8514 | + | 27.4555i | −0.533443 | + | 0.923951i | 0.465794 | + | 0.884893i | \(0.345769\pi\) |
−0.999237 | + | 0.0390577i | \(0.987564\pi\) | |||||||
\(884\) | −0.875399 | + | 4.96464i | −0.0294429 | + | 0.166979i | ||||
\(885\) | −16.3820 | + | 14.6931i | −0.550676 | + | 0.493904i | ||||
\(886\) | 26.9443 | + | 9.80692i | 0.905211 | + | 0.329470i | ||||
\(887\) | 3.07385 | + | 17.4327i | 0.103210 | + | 0.585332i | 0.991920 | + | 0.126863i | \(0.0404909\pi\) |
−0.888710 | + | 0.458469i | \(0.848398\pi\) | |||||||
\(888\) | −6.28321 | + | 44.0878i | −0.210851 | + | 1.47949i | ||||
\(889\) | −3.83142 | − | 3.21494i | −0.128502 | − | 0.107826i | ||||
\(890\) | −3.23850 | −0.108555 | ||||||||
\(891\) | −14.3909 | − | 3.17557i | −0.482113 | − | 0.106386i | ||||
\(892\) | 8.88489 | 0.297488 | ||||||||
\(893\) | −0.523881 | − | 0.439589i | −0.0175310 | − | 0.0147103i | ||||
\(894\) | −1.93862 | + | 13.6028i | −0.0648371 | + | 0.454947i | ||||
\(895\) | −13.0147 | − | 73.8100i | −0.435033 | − | 2.46720i | ||||
\(896\) | 1.92576 | + | 0.700920i | 0.0643351 | + | 0.0234161i | ||||
\(897\) | −24.1144 | + | 21.6283i | −0.805155 | + | 0.722147i | ||||
\(898\) | −2.81753 | + | 15.9790i | −0.0940223 | + | 0.533227i | ||||
\(899\) | −17.3237 | + | 30.0056i | −0.577779 | + | 1.00074i | ||||
\(900\) | −19.2964 | + | 18.4905i | −0.643214 | + | 0.616349i | ||||
\(901\) | 5.37684 | + | 9.31297i | 0.179129 | + | 0.310260i | ||||
\(902\) | −7.14315 | + | 2.59989i | −0.237841 | + | 0.0865670i | ||||
\(903\) | −13.6488 | + | 0.450167i | −0.454202 | + | 0.0149806i | ||||
\(904\) | −12.9867 | + | 10.8971i | −0.431930 | + | 0.362432i | ||||
\(905\) | −52.5182 | + | 44.0680i | −1.74577 | + | 1.46487i | ||||
\(906\) | 11.6309 | − | 21.7728i | 0.386412 | − | 0.723353i | ||||
\(907\) | −0.423479 | + | 0.154134i | −0.0140614 | + | 0.00511792i | −0.349041 | − | 0.937107i | \(-0.613493\pi\) |
0.334980 | + | 0.942225i | \(0.391270\pi\) | |||||||
\(908\) | 9.99671 | + | 17.3148i | 0.331753 | + | 0.574612i | ||||
\(909\) | 8.32797 | − | 16.9084i | 0.276221 | − | 0.560815i | ||||
\(910\) | −12.2430 | + | 21.2056i | −0.405853 | + | 0.702957i | ||||
\(911\) | 6.95902 | − | 39.4665i | 0.230563 | − | 1.30759i | −0.621198 | − | 0.783654i | \(-0.713354\pi\) |
0.851760 | − | 0.523931i | \(-0.175535\pi\) | |||||||
\(912\) | 8.76927 | + | 2.86809i | 0.290379 | + | 0.0949720i | ||||
\(913\) | −3.26444 | − | 1.18816i | −0.108037 | − | 0.0393223i | ||||
\(914\) | −6.97029 | − | 39.5305i | −0.230557 | − | 1.30755i | ||||
\(915\) | −52.5684 | − | 41.2351i | −1.73786 | − | 1.36319i | ||||
\(916\) | 5.87818 | + | 4.93238i | 0.194221 | + | 0.162970i | ||||
\(917\) | 18.7756 | 0.620024 | ||||||||
\(918\) | 3.73923 | + | 2.55387i | 0.123413 | + | 0.0842902i | ||||
\(919\) | 7.56702 | 0.249613 | 0.124807 | − | 0.992181i | \(-0.460169\pi\) | ||||
0.124807 | + | 0.992181i | \(0.460169\pi\) | |||||||
\(920\) | −26.1998 | − | 21.9843i | −0.863783 | − | 0.724800i | ||||
\(921\) | 2.71553 | − | 1.09103i | 0.0894797 | − | 0.0359508i | ||||
\(922\) | −3.55059 | − | 20.1364i | −0.116932 | − | 0.663156i | ||||
\(923\) | 32.0845 | + | 11.6778i | 1.05607 | + | 0.384379i | ||||
\(924\) | 0.552611 | + | 2.62481i | 0.0181796 | + | 0.0863500i | ||||
\(925\) | −13.9042 | + | 78.8545i | −0.457167 | + | 2.59272i | ||||
\(926\) | −8.48507 | + | 14.6966i | −0.278837 | + | 0.482959i | ||||
\(927\) | −14.7738 | − | 10.8215i | −0.485235 | − | 0.355423i | ||||
\(928\) | 17.3841 | + | 30.1101i | 0.570660 | + | 0.988412i | ||||
\(929\) | −12.2038 | + | 4.44181i | −0.400393 | + | 0.145731i | −0.534365 | − | 0.845254i | \(-0.679449\pi\) |
0.133972 | + | 0.990985i | \(0.457227\pi\) | |||||||
\(930\) | 17.0741 | + | 27.4424i | 0.559883 | + | 0.899872i | ||||
\(931\) | −3.36135 | + | 2.82051i | −0.110164 | + | 0.0924384i | ||||
\(932\) | −6.53828 | + | 5.48627i | −0.214169 | + | 0.179709i | ||||
\(933\) | 15.4435 | + | 24.8216i | 0.505598 | + | 0.812623i | ||||
\(934\) | 29.2528 | − | 10.6472i | 0.957181 | − | 0.348386i | ||||
\(935\) | −2.63865 | − | 4.57028i | −0.0862931 | − | 0.149464i | ||||
\(936\) | 6.17607 | − | 56.6502i | 0.201871 | − | 1.85167i | ||||
\(937\) | −3.38631 | + | 5.86525i | −0.110626 | + | 0.191609i | −0.916023 | − | 0.401126i | \(-0.868619\pi\) |
0.805397 | + | 0.592736i | \(0.201952\pi\) | |||||||
\(938\) | −0.828685 | + | 4.69970i | −0.0270575 | + | 0.153451i | ||||
\(939\) | 10.8955 | + | 51.7517i | 0.355560 | + | 1.68885i | ||||
\(940\) | −0.525972 | − | 0.191438i | −0.0171553 | − | 0.00624402i | ||||
\(941\) | 6.31504 | + | 35.8144i | 0.205864 | + | 1.16751i | 0.896074 | + | 0.443905i | \(0.146407\pi\) |
−0.690209 | + | 0.723610i | \(0.742482\pi\) | |||||||
\(942\) | −3.78889 | + | 1.52228i | −0.123449 | + | 0.0495987i | ||||
\(943\) | −10.3140 | − | 8.65447i | −0.335870 | − | 0.281828i | ||||
\(944\) | 4.06179 | 0.132200 | ||||||||
\(945\) | −11.5048 | − | 16.0300i | −0.374251 | − | 0.521455i | ||||
\(946\) | 13.2558 | 0.430983 | ||||||||
\(947\) | 28.0374 | + | 23.5262i | 0.911093 | + | 0.764498i | 0.972327 | − | 0.233626i | \(-0.0750591\pi\) |
−0.0612337 | + | 0.998123i | \(0.519504\pi\) | |||||||
\(948\) | −7.96606 | − | 6.24864i | −0.258725 | − | 0.202946i | ||||
\(949\) | 1.64908 | + | 9.35240i | 0.0535314 | + | 0.303592i | ||||
\(950\) | 39.8778 | + | 14.5143i | 1.29381 | + | 0.470907i | ||||
\(951\) | 15.7229 | + | 5.14235i | 0.509850 | + | 0.166752i | ||||
\(952\) | 0.445766 | − | 2.52807i | 0.0144474 | − | 0.0819351i | ||||
\(953\) | −20.0649 | + | 34.7534i | −0.649965 | + | 1.12577i | 0.333165 | + | 0.942868i | \(0.391883\pi\) |
−0.983131 | + | 0.182904i | \(0.941450\pi\) | |||||||
\(954\) | −21.6987 | − | 32.4399i | −0.702521 | − | 1.05028i | ||||
\(955\) | 20.2015 | + | 34.9900i | 0.653705 | + | 1.13225i | ||||
\(956\) | −5.46909 | + | 1.99059i | −0.176883 | + | 0.0643801i | ||||
\(957\) | −9.67412 | + | 18.1097i | −0.312720 | + | 0.585403i | ||||
\(958\) | 13.2461 | − | 11.1148i | 0.427962 | − | 0.359102i | ||||
\(959\) | 6.28285 | − | 5.27194i | 0.202884 | − | 0.170240i | ||||
\(960\) | 48.3755 | − | 1.59554i | 1.56131 | − | 0.0514957i | ||||
\(961\) | 7.60561 | − | 2.76822i | 0.245342 | − | 0.0892973i | ||||
\(962\) | −27.4078 | − | 47.4718i | −0.883664 | − | 1.53055i | ||||
\(963\) | −6.26252 | − | 1.82202i | −0.201807 | − | 0.0587139i | ||||
\(964\) | 8.45850 | − | 14.6505i | 0.272430 | − | 0.471862i | ||||
\(965\) | 11.3844 | − | 64.5643i | 0.366478 | − | 2.07840i | ||||
\(966\) | 3.94243 | − | 3.53598i | 0.126845 | − | 0.113768i | ||||
\(967\) | −7.62789 | − | 2.77632i | −0.245296 | − | 0.0892806i | 0.216446 | − | 0.976295i | \(-0.430553\pi\) |
−0.461743 | + | 0.887014i | \(0.652776\pi\) | |||||||
\(968\) | 4.36912 | + | 24.7785i | 0.140429 | + | 0.796412i | ||||
\(969\) | −0.910098 | + | 6.38594i | −0.0292365 | + | 0.205146i | ||||
\(970\) | −28.4174 | − | 23.8450i | −0.912426 | − | 0.765616i | ||||
\(971\) | −43.0646 | −1.38201 | −0.691004 | − | 0.722851i | \(-0.742831\pi\) | ||||
−0.691004 | + | 0.722851i | \(0.742831\pi\) | |||||||
\(972\) | 12.6959 | + | 7.49481i | 0.407222 | + | 0.240396i | ||||
\(973\) | 9.39200 | 0.301094 | ||||||||
\(974\) | 13.1162 | + | 11.0058i | 0.420271 | + | 0.352649i | ||||
\(975\) | 14.4562 | − | 101.436i | 0.462970 | − | 3.24855i | ||||
\(976\) | 2.14141 | + | 12.1445i | 0.0685448 | + | 0.388737i | ||||
\(977\) | 3.42289 | + | 1.24583i | 0.109508 | + | 0.0398576i | 0.396193 | − | 0.918167i | \(-0.370331\pi\) |
−0.286685 | + | 0.958025i | \(0.592553\pi\) | |||||||
\(978\) | −20.3234 | + | 18.2282i | −0.649871 | + | 0.582872i | ||||
\(979\) | 0.236180 | − | 1.33945i | 0.00754836 | − | 0.0428089i | ||||
\(980\) | −1.79567 | + | 3.11020i | −0.0573607 | + | 0.0993517i | ||||
\(981\) | 10.8515 | + | 3.15714i | 0.346461 | + | 0.100800i | ||||
\(982\) | 4.47686 | + | 7.75416i | 0.142862 | + | 0.247445i | ||||
\(983\) | −45.1557 | + | 16.4353i | −1.44024 | + | 0.524205i | −0.939848 | − | 0.341593i | \(-0.889034\pi\) |
−0.500394 | + | 0.865798i | \(0.666812\pi\) | |||||||
\(984\) | 23.6732 | − | 0.780798i | 0.754675 | − | 0.0248909i | ||||
\(985\) | −2.08573 | + | 1.75014i | −0.0664569 | + | 0.0557640i | ||||
\(986\) | 4.83266 | − | 4.05508i | 0.153903 | − | 0.129140i | ||||
\(987\) | 0.127194 | − | 0.238104i | 0.00404863 | − | 0.00757893i | ||||
\(988\) | 24.4913 | − | 8.91409i | 0.779171 | − | 0.283595i | ||||
\(989\) | 11.7394 | + | 20.3332i | 0.373290 | + | 0.646557i | ||||
\(990\) | 10.6485 | + | 15.9197i | 0.338431 | + | 0.505961i | ||||
\(991\) | −20.1097 | + | 34.8310i | −0.638806 | + | 1.10644i | 0.346889 | + | 0.937906i | \(0.387238\pi\) |
−0.985695 | + | 0.168538i | \(0.946095\pi\) | |||||||
\(992\) | −3.99149 | + | 22.6369i | −0.126730 | + | 0.718721i | ||||
\(993\) | 31.1918 | + | 10.2016i | 0.989842 | + | 0.323739i | ||||
\(994\) | −5.24545 | − | 1.90919i | −0.166376 | − | 0.0605558i | ||||
\(995\) | −3.40504 | − | 19.3110i | −0.107947 | − | 0.612198i | ||||
\(996\) | 2.73447 | + | 2.14494i | 0.0866450 | + | 0.0679650i | ||||
\(997\) | −4.96978 | − | 4.17014i | −0.157394 | − | 0.132070i | 0.560689 | − | 0.828026i | \(-0.310536\pi\) |
−0.718084 | + | 0.695957i | \(0.754981\pi\) | |||||||
\(998\) | −1.22061 | −0.0386378 | ||||||||
\(999\) | 43.9553 | − | 4.36190i | 1.39068 | − | 0.138004i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 189.2.v.a.43.6 | yes | 54 | |
3.2 | odd | 2 | 567.2.v.b.127.4 | 54 | |||
27.5 | odd | 18 | 567.2.v.b.442.4 | 54 | |||
27.7 | even | 9 | 5103.2.a.i.1.16 | 27 | |||
27.20 | odd | 18 | 5103.2.a.f.1.12 | 27 | |||
27.22 | even | 9 | inner | 189.2.v.a.22.6 | ✓ | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.a.22.6 | ✓ | 54 | 27.22 | even | 9 | inner | |
189.2.v.a.43.6 | yes | 54 | 1.1 | even | 1 | trivial | |
567.2.v.b.127.4 | 54 | 3.2 | odd | 2 | |||
567.2.v.b.442.4 | 54 | 27.5 | odd | 18 | |||
5103.2.a.f.1.12 | 27 | 27.20 | odd | 18 | |||
5103.2.a.i.1.16 | 27 | 27.7 | even | 9 |