Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(25,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([28, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.bb (of order \(21\), degree \(12\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 121.5 | ||
Character | \(\chi\) | \(=\) | 882.121 |
Dual form | 882.2.bb.b.277.5 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{19}{21}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.900969 | − | 0.433884i | 0.637081 | − | 0.306802i | ||||
\(3\) | −1.49776 | + | 0.869893i | −0.864732 | + | 0.502233i | ||||
\(4\) | 0.623490 | − | 0.781831i | 0.311745 | − | 0.390916i | ||||
\(5\) | −1.18698 | + | 0.366134i | −0.530832 | + | 0.163740i | −0.548573 | − | 0.836103i | \(-0.684829\pi\) |
0.0177412 | + | 0.999843i | \(0.494353\pi\) | |||||||
\(6\) | −0.972003 | + | 1.43360i | −0.396819 | + | 0.585265i | ||||
\(7\) | −1.17475 | − | 2.37064i | −0.444015 | − | 0.896019i | ||||
\(8\) | 0.222521 | − | 0.974928i | 0.0786730 | − | 0.344689i | ||||
\(9\) | 1.48657 | − | 2.60578i | 0.495524 | − | 0.868594i | ||||
\(10\) | −0.910569 | + | 0.844885i | −0.287947 | + | 0.267176i | ||||
\(11\) | −0.189845 | + | 2.53331i | −0.0572405 | + | 0.763821i | 0.892553 | + | 0.450943i | \(0.148912\pi\) |
−0.949793 | + | 0.312878i | \(0.898707\pi\) | |||||||
\(12\) | −0.253729 | + | 1.71337i | −0.0732452 | + | 0.494606i | ||||
\(13\) | −0.325293 | + | 4.34074i | −0.0902201 | + | 1.20390i | 0.749918 | + | 0.661531i | \(0.230093\pi\) |
−0.840138 | + | 0.542373i | \(0.817526\pi\) | |||||||
\(14\) | −2.08700 | − | 1.62617i | −0.557774 | − | 0.434612i | ||||
\(15\) | 1.45931 | − | 1.58092i | 0.376792 | − | 0.408192i | ||||
\(16\) | −0.222521 | − | 0.974928i | −0.0556302 | − | 0.243732i | ||||
\(17\) | −0.110905 | + | 0.282581i | −0.0268984 | + | 0.0685360i | −0.943692 | − | 0.330825i | \(-0.892673\pi\) |
0.916794 | + | 0.399361i | \(0.130768\pi\) | |||||||
\(18\) | 0.208749 | − | 2.99273i | 0.0492027 | − | 0.705393i | ||||
\(19\) | −1.96935 | + | 3.41101i | −0.451799 | + | 0.782539i | −0.998498 | − | 0.0547901i | \(-0.982551\pi\) |
0.546699 | + | 0.837330i | \(0.315884\pi\) | |||||||
\(20\) | −0.453813 | + | 1.15630i | −0.101476 | + | 0.258556i | ||||
\(21\) | 3.82171 | + | 2.52875i | 0.833965 | + | 0.551818i | ||||
\(22\) | 0.928117 | + | 2.36480i | 0.197875 | + | 0.504178i | ||||
\(23\) | 5.05235 | + | 0.761520i | 1.05349 | + | 0.158788i | 0.652880 | − | 0.757461i | \(-0.273561\pi\) |
0.400609 | + | 0.916249i | \(0.368799\pi\) | |||||||
\(24\) | 0.514800 | + | 1.65378i | 0.105083 | + | 0.337576i | ||||
\(25\) | −2.85634 | + | 1.94742i | −0.571267 | + | 0.389483i | ||||
\(26\) | 1.59030 | + | 4.05201i | 0.311883 | + | 0.794664i | ||||
\(27\) | 0.0402212 | + | 5.19600i | 0.00774058 | + | 0.999970i | ||||
\(28\) | −2.58589 | − | 0.559613i | −0.488687 | − | 0.105757i | ||||
\(29\) | −2.44138 | + | 6.22054i | −0.453353 | + | 1.15513i | 0.503356 | + | 0.864079i | \(0.332099\pi\) |
−0.956709 | + | 0.291046i | \(0.905997\pi\) | |||||||
\(30\) | 0.628855 | − | 2.05753i | 0.114813 | − | 0.375652i | ||||
\(31\) | −7.00968 | −1.25898 | −0.629488 | − | 0.777010i | \(-0.716735\pi\) | ||||
−0.629488 | + | 0.777010i | \(0.716735\pi\) | |||||||
\(32\) | −0.623490 | − | 0.781831i | −0.110218 | − | 0.138210i | ||||
\(33\) | −1.91936 | − | 3.95943i | −0.334118 | − | 0.689249i | ||||
\(34\) | 0.0226855 | + | 0.302717i | 0.00389053 | + | 0.0519155i | ||||
\(35\) | 2.26238 | + | 2.38378i | 0.382411 | + | 0.402933i | ||||
\(36\) | −1.11042 | − | 2.78693i | −0.185070 | − | 0.464488i | ||||
\(37\) | 0.771345 | − | 0.116262i | 0.126808 | − | 0.0191133i | −0.0853314 | − | 0.996353i | \(-0.527195\pi\) |
0.212140 | + | 0.977239i | \(0.431957\pi\) | |||||||
\(38\) | −0.294339 | + | 3.92768i | −0.0477481 | + | 0.637154i | ||||
\(39\) | −3.28877 | − | 6.78436i | −0.526624 | − | 1.08637i | ||||
\(40\) | 0.0928269 | + | 1.23869i | 0.0146772 | + | 0.195854i | ||||
\(41\) | −0.271297 | − | 0.251727i | −0.0423694 | − | 0.0393131i | 0.658704 | − | 0.752402i | \(-0.271105\pi\) |
−0.701073 | + | 0.713089i | \(0.747295\pi\) | |||||||
\(42\) | 4.54042 | + | 0.620147i | 0.700602 | + | 0.0956908i | ||||
\(43\) | 0.766546 | − | 0.711251i | 0.116897 | − | 0.108465i | −0.619559 | − | 0.784950i | \(-0.712688\pi\) |
0.736456 | + | 0.676486i | \(0.236498\pi\) | |||||||
\(44\) | 1.86225 | + | 1.72792i | 0.280745 | + | 0.260494i | ||||
\(45\) | −0.810462 | + | 3.63729i | −0.120817 | + | 0.542214i | ||||
\(46\) | 4.88242 | − | 1.50603i | 0.719874 | − | 0.222052i | ||||
\(47\) | −9.39103 | + | 4.52248i | −1.36982 | + | 0.659672i | −0.966804 | − | 0.255520i | \(-0.917753\pi\) |
−0.403019 | + | 0.915192i | \(0.632039\pi\) | |||||||
\(48\) | 1.18137 | + | 1.26664i | 0.170515 | + | 0.182824i | ||||
\(49\) | −4.23991 | + | 5.56984i | −0.605701 | + | 0.795692i | ||||
\(50\) | −1.72852 | + | 2.99388i | −0.244449 | + | 0.423398i | ||||
\(51\) | −0.0797063 | − | 0.519714i | −0.0111611 | − | 0.0727745i | ||||
\(52\) | 3.19091 | + | 2.96073i | 0.442499 | + | 0.410579i | ||||
\(53\) | 8.54924 | + | 1.28859i | 1.17433 | + | 0.177002i | 0.707086 | − | 0.707128i | \(-0.250009\pi\) |
0.467243 | + | 0.884129i | \(0.345247\pi\) | |||||||
\(54\) | 2.29070 | + | 4.66398i | 0.311724 | + | 0.634687i | ||||
\(55\) | −0.702188 | − | 3.07649i | −0.0946830 | − | 0.414833i | ||||
\(56\) | −2.57261 | + | 0.617782i | −0.343780 | + | 0.0825546i | ||||
\(57\) | −0.0176023 | − | 6.82200i | −0.00233148 | − | 0.903596i | ||||
\(58\) | 0.499382 | + | 6.66379i | 0.0655721 | + | 0.874998i | ||||
\(59\) | −0.142356 | − | 0.623703i | −0.0185332 | − | 0.0811992i | 0.964816 | − | 0.262928i | \(-0.0846880\pi\) |
−0.983349 | + | 0.181728i | \(0.941831\pi\) | |||||||
\(60\) | −0.326151 | − | 2.12662i | −0.0421059 | − | 0.274546i | ||||
\(61\) | 6.32234 | + | 7.92796i | 0.809493 | + | 1.01507i | 0.999446 | + | 0.0332785i | \(0.0105948\pi\) |
−0.189954 | + | 0.981793i | \(0.560834\pi\) | |||||||
\(62\) | −6.31550 | + | 3.04139i | −0.802070 | + | 0.386256i | ||||
\(63\) | −7.92374 | − | 0.462984i | −0.998297 | − | 0.0583305i | ||||
\(64\) | −0.900969 | − | 0.433884i | −0.112621 | − | 0.0542355i | ||||
\(65\) | −1.20317 | − | 5.27145i | −0.149235 | − | 0.653843i | ||||
\(66\) | −3.44722 | − | 2.73455i | −0.424324 | − | 0.336599i | ||||
\(67\) | −12.2784 | −1.50005 | −0.750024 | − | 0.661410i | \(-0.769958\pi\) | ||||
−0.750024 | + | 0.661410i | \(0.769958\pi\) | |||||||
\(68\) | 0.151783 | + | 0.262895i | 0.0184064 | + | 0.0318807i | ||||
\(69\) | −8.22965 | + | 3.25443i | −0.990734 | + | 0.391788i | ||||
\(70\) | 3.07261 | + | 1.16610i | 0.367248 | + | 0.139376i | ||||
\(71\) | 5.11921 | − | 6.41929i | 0.607539 | − | 0.761829i | −0.378993 | − | 0.925400i | \(-0.623730\pi\) |
0.986532 | + | 0.163570i | \(0.0523010\pi\) | |||||||
\(72\) | −2.20966 | − | 2.02914i | −0.260410 | − | 0.239137i | ||||
\(73\) | 0.351603 | + | 4.69182i | 0.0411521 | + | 0.549136i | 0.979235 | + | 0.202727i | \(0.0649802\pi\) |
−0.938083 | + | 0.346410i | \(0.887401\pi\) | |||||||
\(74\) | 0.644514 | − | 0.439422i | 0.0749232 | − | 0.0510818i | ||||
\(75\) | 2.58406 | − | 5.40147i | 0.298382 | − | 0.623708i | ||||
\(76\) | 1.43897 | + | 3.66643i | 0.165061 | + | 0.420568i | ||||
\(77\) | 6.22860 | − | 2.52596i | 0.709814 | − | 0.287860i | ||||
\(78\) | −5.90670 | − | 4.68555i | −0.668802 | − | 0.530534i | ||||
\(79\) | −13.6995 | −1.54132 | −0.770658 | − | 0.637249i | \(-0.780072\pi\) | ||||
−0.770658 | + | 0.637249i | \(0.780072\pi\) | |||||||
\(80\) | 0.621081 | + | 1.07574i | 0.0694390 | + | 0.120272i | ||||
\(81\) | −4.58020 | − | 7.74737i | −0.508911 | − | 0.860819i | ||||
\(82\) | −0.353650 | − | 0.109087i | −0.0390541 | − | 0.0120466i | ||||
\(83\) | 0.231367 | + | 3.08738i | 0.0253959 | + | 0.338884i | 0.995401 | + | 0.0957988i | \(0.0305405\pi\) |
−0.970005 | + | 0.243086i | \(0.921840\pi\) | |||||||
\(84\) | 4.35985 | − | 1.41128i | 0.475699 | − | 0.153983i | ||||
\(85\) | 0.0281790 | − | 0.376023i | 0.00305644 | − | 0.0407854i | ||||
\(86\) | 0.382034 | − | 0.973407i | 0.0411958 | − | 0.104965i | ||||
\(87\) | −1.75460 | − | 11.4406i | −0.188113 | − | 1.22656i | ||||
\(88\) | 2.42755 | + | 0.748800i | 0.258778 | + | 0.0798223i | ||||
\(89\) | 11.0072 | − | 7.50460i | 1.16676 | − | 0.795486i | 0.184471 | − | 0.982838i | \(-0.440943\pi\) |
0.982293 | + | 0.187352i | \(0.0599904\pi\) | |||||||
\(90\) | 0.847958 | + | 3.62873i | 0.0893826 | + | 0.382501i | ||||
\(91\) | 10.6725 | − | 4.32814i | 1.11878 | − | 0.453713i | ||||
\(92\) | 3.74547 | − | 3.47529i | 0.390492 | − | 0.362324i | ||||
\(93\) | 10.4988 | − | 6.09767i | 1.08868 | − | 0.632299i | ||||
\(94\) | −6.49879 | + | 8.14923i | −0.670299 | + | 0.840529i | ||||
\(95\) | 1.08868 | − | 4.76983i | 0.111697 | − | 0.489374i | ||||
\(96\) | 1.61395 | + | 0.628627i | 0.164723 | + | 0.0641590i | ||||
\(97\) | 3.37729 | + | 5.84963i | 0.342911 | + | 0.593940i | 0.984972 | − | 0.172714i | \(-0.0552536\pi\) |
−0.642061 | + | 0.766654i | \(0.721920\pi\) | |||||||
\(98\) | −1.40336 | + | 6.85788i | −0.141761 | + | 0.692751i | ||||
\(99\) | 6.31903 | + | 4.26064i | 0.635087 | + | 0.428211i | ||||
\(100\) | −0.258344 | + | 3.44737i | −0.0258344 | + | 0.344737i | ||||
\(101\) | −2.21776 | − | 2.05778i | −0.220675 | − | 0.204757i | 0.562086 | − | 0.827079i | \(-0.309999\pi\) |
−0.782761 | + | 0.622322i | \(0.786189\pi\) | |||||||
\(102\) | −0.297308 | − | 0.433663i | −0.0294379 | − | 0.0429390i | ||||
\(103\) | 12.3160 | − | 3.79897i | 1.21353 | − | 0.374324i | 0.379056 | − | 0.925374i | \(-0.376249\pi\) |
0.834473 | + | 0.551049i | \(0.185772\pi\) | |||||||
\(104\) | 4.15952 | + | 1.28304i | 0.407875 | + | 0.125813i | ||||
\(105\) | −5.46213 | − | 1.60231i | −0.533050 | − | 0.156369i | ||||
\(106\) | 8.26170 | − | 2.54840i | 0.802447 | − | 0.247522i | ||||
\(107\) | 7.63374 | − | 5.20460i | 0.737982 | − | 0.503147i | −0.135033 | − | 0.990841i | \(-0.543114\pi\) |
0.873015 | + | 0.487694i | \(0.162162\pi\) | |||||||
\(108\) | 4.08747 | + | 3.20820i | 0.393317 | + | 0.308710i | ||||
\(109\) | −2.03936 | − | 1.39041i | −0.195335 | − | 0.133177i | 0.461703 | − | 0.887035i | \(-0.347239\pi\) |
−0.657038 | + | 0.753857i | \(0.728191\pi\) | |||||||
\(110\) | −1.96749 | − | 2.46715i | −0.187592 | − | 0.235233i | ||||
\(111\) | −1.05416 | + | 0.845120i | −0.100056 | + | 0.0802152i | ||||
\(112\) | −2.04980 | + | 1.67282i | −0.193688 | + | 0.158066i | ||||
\(113\) | −8.01392 | + | 5.46380i | −0.753886 | + | 0.513991i | −0.878224 | − | 0.478249i | \(-0.841272\pi\) |
0.124338 | + | 0.992240i | \(0.460319\pi\) | |||||||
\(114\) | −2.97581 | − | 6.13877i | −0.278710 | − | 0.574949i | ||||
\(115\) | −6.27584 | + | 0.945931i | −0.585225 | + | 0.0882085i | ||||
\(116\) | 3.34124 | + | 5.78719i | 0.310226 | + | 0.537327i | ||||
\(117\) | 10.8274 | + | 7.30047i | 1.00100 | + | 0.674928i | ||||
\(118\) | −0.398873 | − | 0.500171i | −0.0367192 | − | 0.0460445i | ||||
\(119\) | 0.800185 | − | 0.0690470i | 0.0733528 | − | 0.00632952i | ||||
\(120\) | −1.21656 | − | 1.77451i | −0.111056 | − | 0.161990i | ||||
\(121\) | 4.49553 | + | 0.677592i | 0.408684 | + | 0.0615992i | ||||
\(122\) | 9.13604 | + | 4.39969i | 0.827139 | + | 0.398329i | ||||
\(123\) | 0.625313 | + | 0.141027i | 0.0563826 | + | 0.0127160i | ||||
\(124\) | −4.37046 | + | 5.48039i | −0.392479 | + | 0.492153i | ||||
\(125\) | 6.54976 | − | 8.21314i | 0.585829 | − | 0.734606i | ||||
\(126\) | −7.33992 | + | 3.02085i | −0.653892 | + | 0.269118i | ||||
\(127\) | 7.27382 | + | 9.12108i | 0.645447 | + | 0.809365i | 0.991672 | − | 0.128787i | \(-0.0411082\pi\) |
−0.346226 | + | 0.938151i | \(0.612537\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −0.529390 | + | 1.73210i | −0.0466102 | + | 0.152503i | ||||
\(130\) | −3.37122 | − | 4.22738i | −0.295676 | − | 0.370765i | ||||
\(131\) | 13.7375 | − | 12.7465i | 1.20025 | − | 1.11367i | 0.209521 | − | 0.977804i | \(-0.432809\pi\) |
0.990728 | − | 0.135864i | \(-0.0433810\pi\) | |||||||
\(132\) | −4.29231 | − | 0.968048i | −0.373598 | − | 0.0842577i | ||||
\(133\) | 10.3998 | + | 0.661528i | 0.901776 | + | 0.0573617i | ||||
\(134\) | −11.0625 | + | 5.32741i | −0.955653 | + | 0.460218i | ||||
\(135\) | −1.95017 | − | 6.15280i | −0.167844 | − | 0.529548i | ||||
\(136\) | 0.250817 | + | 0.171004i | 0.0215074 | + | 0.0146635i | ||||
\(137\) | −10.1359 | − | 3.12652i | −0.865972 | − | 0.267117i | −0.170226 | − | 0.985405i | \(-0.554450\pi\) |
−0.695746 | + | 0.718288i | \(0.744926\pi\) | |||||||
\(138\) | −6.00262 | + | 6.50285i | −0.510977 | + | 0.553560i | ||||
\(139\) | −13.8320 | − | 12.8342i | −1.17321 | − | 1.08858i | −0.994506 | − | 0.104679i | \(-0.966618\pi\) |
−0.178706 | − | 0.983903i | \(-0.557191\pi\) | |||||||
\(140\) | 3.27428 | − | 0.282534i | 0.276728 | − | 0.0238785i | ||||
\(141\) | 10.1314 | − | 14.9428i | 0.853221 | − | 1.25841i | ||||
\(142\) | 1.82703 | − | 8.00472i | 0.153321 | − | 0.671741i | ||||
\(143\) | −10.9347 | − | 1.64814i | −0.914403 | − | 0.137824i | ||||
\(144\) | −2.87124 | − | 0.869460i | −0.239270 | − | 0.0724550i | ||||
\(145\) | 0.620313 | − | 8.27750i | 0.0515142 | − | 0.687409i | ||||
\(146\) | 2.35249 | + | 4.07463i | 0.194693 | + | 0.337219i | ||||
\(147\) | 1.50520 | − | 12.0306i | 0.124147 | − | 0.992264i | ||||
\(148\) | 0.390029 | − | 0.675550i | 0.0320602 | − | 0.0555299i | ||||
\(149\) | 5.30668 | + | 3.61803i | 0.434740 | + | 0.296401i | 0.760846 | − | 0.648932i | \(-0.224784\pi\) |
−0.326106 | + | 0.945333i | \(0.605737\pi\) | |||||||
\(150\) | −0.0154497 | − | 5.98774i | −0.00126146 | − | 0.488897i | ||||
\(151\) | −3.16125 | − | 8.05473i | −0.257259 | − | 0.655485i | 0.742640 | − | 0.669691i | \(-0.233573\pi\) |
−0.999899 | + | 0.0142057i | \(0.995478\pi\) | |||||||
\(152\) | 2.88727 | + | 2.67899i | 0.234188 | + | 0.217295i | ||||
\(153\) | 0.571476 | + | 0.709071i | 0.0462011 | + | 0.0573250i | ||||
\(154\) | 4.51580 | − | 4.97830i | 0.363893 | − | 0.401162i | ||||
\(155\) | 8.32032 | − | 2.56648i | 0.668304 | − | 0.206145i | ||||
\(156\) | −7.35474 | − | 1.65872i | −0.588850 | − | 0.132804i | ||||
\(157\) | 3.97109 | + | 17.3985i | 0.316928 | + | 1.38855i | 0.842909 | + | 0.538055i | \(0.180841\pi\) |
−0.525982 | + | 0.850496i | \(0.676302\pi\) | |||||||
\(158\) | −12.3428 | + | 5.94400i | −0.981944 | + | 0.472879i | ||||
\(159\) | −13.9257 | + | 5.50692i | −1.10438 | + | 0.436727i | ||||
\(160\) | 1.02632 | + | 0.699735i | 0.0811379 | + | 0.0553189i | ||||
\(161\) | −4.12998 | − | 12.8719i | −0.325488 | − | 1.01445i | ||||
\(162\) | −7.48808 | − | 4.99286i | −0.588319 | − | 0.392276i | ||||
\(163\) | −9.43510 | − | 2.91034i | −0.739014 | − | 0.227956i | −0.0976804 | − | 0.995218i | \(-0.531142\pi\) |
−0.641334 | + | 0.767262i | \(0.721619\pi\) | |||||||
\(164\) | −0.365959 | + | 0.0551594i | −0.0285766 | + | 0.00430722i | ||||
\(165\) | 3.72792 | + | 3.99701i | 0.290218 | + | 0.311167i | ||||
\(166\) | 1.54802 | + | 2.68125i | 0.120150 | + | 0.208105i | ||||
\(167\) | −3.24069 | + | 0.488455i | −0.250772 | + | 0.0377978i | −0.273225 | − | 0.961950i | \(-0.588090\pi\) |
0.0224533 | + | 0.999748i | \(0.492852\pi\) | |||||||
\(168\) | 3.31576 | − | 3.16319i | 0.255816 | − | 0.244045i | ||||
\(169\) | −5.88139 | − | 0.886477i | −0.452415 | − | 0.0681905i | ||||
\(170\) | −0.137762 | − | 0.351011i | −0.0105658 | − | 0.0269213i | ||||
\(171\) | 5.96077 | + | 10.2024i | 0.455832 | + | 0.780198i | ||||
\(172\) | −0.0781446 | − | 1.04277i | −0.00595847 | − | 0.0795103i | ||||
\(173\) | −8.00150 | + | 10.0336i | −0.608343 | + | 0.762838i | −0.986652 | − | 0.162842i | \(-0.947934\pi\) |
0.378310 | + | 0.925679i | \(0.376505\pi\) | |||||||
\(174\) | −6.54474 | − | 9.54635i | −0.496155 | − | 0.723707i | ||||
\(175\) | 7.97212 | + | 4.48362i | 0.602636 | + | 0.338930i | ||||
\(176\) | 2.51204 | − | 0.378629i | 0.189352 | − | 0.0285402i | ||||
\(177\) | 0.755770 | + | 0.810323i | 0.0568072 | + | 0.0609076i | ||||
\(178\) | 6.66105 | − | 11.5373i | 0.499267 | − | 0.864755i | ||||
\(179\) | −0.441560 | + | 1.12508i | −0.0330037 | + | 0.0840921i | −0.946426 | − | 0.322922i | \(-0.895335\pi\) |
0.913422 | + | 0.407014i | \(0.133430\pi\) | |||||||
\(180\) | 2.33843 | + | 2.90145i | 0.174296 | + | 0.216262i | ||||
\(181\) | −17.5098 | − | 8.43228i | −1.30149 | − | 0.626766i | −0.350670 | − | 0.936499i | \(-0.614046\pi\) |
−0.950824 | + | 0.309733i | \(0.899760\pi\) | |||||||
\(182\) | 7.73767 | − | 8.53014i | 0.573554 | − | 0.632296i | ||||
\(183\) | −16.3658 | − | 6.37443i | −1.20980 | − | 0.471211i | ||||
\(184\) | 1.86668 | − | 4.75623i | 0.137614 | − | 0.350634i | ||||
\(185\) | −0.873001 | + | 0.420415i | −0.0641843 | + | 0.0309095i | ||||
\(186\) | 6.81343 | − | 10.0491i | 0.499585 | − | 0.736834i | ||||
\(187\) | −0.694810 | − | 0.334603i | −0.0508096 | − | 0.0244686i | ||||
\(188\) | −2.31939 | + | 10.1619i | −0.169159 | + | 0.741135i | ||||
\(189\) | 12.2706 | − | 6.19936i | 0.892556 | − | 0.450937i | ||||
\(190\) | −1.08868 | − | 4.76983i | −0.0789814 | − | 0.346040i | ||||
\(191\) | 1.45233 | − | 6.36309i | 0.105087 | − | 0.460417i | −0.894815 | − | 0.446437i | \(-0.852693\pi\) |
0.999902 | − | 0.0139801i | \(-0.00445014\pi\) | |||||||
\(192\) | 1.72687 | − | 0.133892i | 0.124626 | − | 0.00966286i | ||||
\(193\) | −1.47992 | + | 6.48395i | −0.106527 | + | 0.466725i | 0.893323 | + | 0.449415i | \(0.148367\pi\) |
−0.999850 | + | 0.0173104i | \(0.994490\pi\) | |||||||
\(194\) | 5.58089 | + | 3.80499i | 0.400685 | + | 0.273182i | ||||
\(195\) | 6.38767 | + | 6.84874i | 0.457430 | + | 0.490449i | ||||
\(196\) | 1.71114 | + | 6.78764i | 0.122224 | + | 0.484831i | ||||
\(197\) | −3.15067 | −0.224476 | −0.112238 | − | 0.993681i | \(-0.535802\pi\) | ||||
−0.112238 | + | 0.993681i | \(0.535802\pi\) | |||||||
\(198\) | 7.54188 | + | 1.09698i | 0.535978 | + | 0.0779591i | ||||
\(199\) | −18.9406 | + | 5.84241i | −1.34267 | + | 0.414158i | −0.881093 | − | 0.472944i | \(-0.843191\pi\) |
−0.461574 | + | 0.887102i | \(0.652715\pi\) | |||||||
\(200\) | 1.26300 | + | 3.21806i | 0.0893073 | + | 0.227551i | ||||
\(201\) | 18.3901 | − | 10.6809i | 1.29714 | − | 0.753374i | ||||
\(202\) | −2.89097 | − | 0.891745i | −0.203408 | − | 0.0627430i | ||||
\(203\) | 17.6147 | − | 1.51995i | 1.23631 | − | 0.106680i | ||||
\(204\) | −0.456025 | − | 0.261720i | −0.0319281 | − | 0.0183240i | ||||
\(205\) | 0.414188 | + | 0.199463i | 0.0289282 | + | 0.0139311i | ||||
\(206\) | 9.44800 | − | 8.76646i | 0.658273 | − | 0.610788i | ||||
\(207\) | 9.49505 | − | 12.0333i | 0.659951 | − | 0.836371i | ||||
\(208\) | 4.30429 | − | 0.648768i | 0.298449 | − | 0.0449839i | ||||
\(209\) | −8.26727 | − | 5.63653i | −0.571859 | − | 0.389887i | ||||
\(210\) | −5.61643 | + | 0.926301i | −0.387570 | + | 0.0639208i | ||||
\(211\) | 2.09345 | − | 1.42729i | 0.144119 | − | 0.0982588i | −0.489114 | − | 0.872220i | \(-0.662680\pi\) |
0.633233 | + | 0.773961i | \(0.281727\pi\) | |||||||
\(212\) | 6.33783 | − | 5.88064i | 0.435284 | − | 0.403884i | ||||
\(213\) | −2.08326 | + | 14.0677i | −0.142743 | + | 0.963904i | ||||
\(214\) | 4.61957 | − | 8.00134i | 0.315788 | − | 0.546960i | ||||
\(215\) | −0.649459 | + | 1.12490i | −0.0442927 | + | 0.0767173i | ||||
\(216\) | 5.07467 | + | 1.11701i | 0.345288 | + | 0.0760026i | ||||
\(217\) | 8.23464 | + | 16.6175i | 0.559004 | + | 1.12807i | ||||
\(218\) | −2.44068 | − | 0.367873i | −0.165304 | − | 0.0249155i | ||||
\(219\) | −4.60800 | − | 6.72137i | −0.311380 | − | 0.454188i | ||||
\(220\) | −2.84310 | − | 1.36916i | −0.191682 | − | 0.0923091i | ||||
\(221\) | −1.19053 | − | 0.573331i | −0.0800840 | − | 0.0385664i | ||||
\(222\) | −0.583077 | + | 1.21881i | −0.0391336 | + | 0.0818010i | ||||
\(223\) | −9.55046 | − | 1.43950i | −0.639546 | − | 0.0963961i | −0.178739 | − | 0.983896i | \(-0.557202\pi\) |
−0.460807 | + | 0.887500i | \(0.652440\pi\) | |||||||
\(224\) | −1.12100 | + | 2.39653i | −0.0748998 | + | 0.160125i | ||||
\(225\) | 0.828393 | + | 10.3380i | 0.0552262 | + | 0.689198i | ||||
\(226\) | −4.84964 | + | 8.39982i | −0.322593 | + | 0.558748i | ||||
\(227\) | −1.44491 | + | 2.50266i | −0.0959021 | + | 0.166107i | −0.909985 | − | 0.414642i | \(-0.863907\pi\) |
0.814083 | + | 0.580749i | \(0.197240\pi\) | |||||||
\(228\) | −5.34463 | − | 4.23968i | −0.353957 | − | 0.280780i | ||||
\(229\) | 2.83229 | − | 2.62798i | 0.187163 | − | 0.173662i | −0.581026 | − | 0.813885i | \(-0.697349\pi\) |
0.768189 | + | 0.640223i | \(0.221158\pi\) | |||||||
\(230\) | −5.24391 | + | 3.57524i | −0.345773 | + | 0.235744i | ||||
\(231\) | −7.13163 | + | 9.20149i | −0.469227 | + | 0.605414i | ||||
\(232\) | 5.52132 | + | 3.76437i | 0.362492 | + | 0.247143i | ||||
\(233\) | 28.3495 | − | 4.27301i | 1.85724 | − | 0.279934i | 0.877407 | − | 0.479747i | \(-0.159272\pi\) |
0.979834 | + | 0.199814i | \(0.0640336\pi\) | |||||||
\(234\) | 12.9227 | + | 1.87964i | 0.844786 | + | 0.122876i | ||||
\(235\) | 9.49109 | − | 8.80645i | 0.619131 | − | 0.574469i | ||||
\(236\) | −0.576388 | − | 0.277574i | −0.0375197 | − | 0.0180685i | ||||
\(237\) | 20.5186 | − | 11.9171i | 1.33283 | − | 0.774100i | ||||
\(238\) | 0.690983 | − | 0.409396i | 0.0447898 | − | 0.0265372i | ||||
\(239\) | −0.669931 | − | 0.206646i | −0.0433342 | − | 0.0133668i | 0.273012 | − | 0.962011i | \(-0.411980\pi\) |
−0.316347 | + | 0.948644i | \(0.602456\pi\) | |||||||
\(240\) | −1.86601 | − | 1.07093i | −0.120451 | − | 0.0691284i | ||||
\(241\) | −10.1433 | − | 25.8446i | −0.653385 | − | 1.66480i | −0.743392 | − | 0.668857i | \(-0.766784\pi\) |
0.0900066 | − | 0.995941i | \(-0.471311\pi\) | |||||||
\(242\) | 4.34433 | − | 1.34005i | 0.279264 | − | 0.0861415i | ||||
\(243\) | 13.5994 | + | 7.61942i | 0.872404 | + | 0.488786i | ||||
\(244\) | 10.1402 | 0.649163 | ||||||||
\(245\) | 2.99336 | − | 8.16365i | 0.191239 | − | 0.521556i | ||||
\(246\) | 0.624577 | − | 0.144252i | 0.0398216 | − | 0.00919718i | ||||
\(247\) | −14.1657 | − | 9.65800i | −0.901341 | − | 0.614524i | ||||
\(248\) | −1.55980 | + | 6.83393i | −0.0990474 | + | 0.433955i | ||||
\(249\) | −3.03223 | − | 4.42290i | −0.192159 | − | 0.280290i | ||||
\(250\) | 2.33758 | − | 10.2416i | 0.147842 | − | 0.647737i | ||||
\(251\) | −3.60388 | − | 15.7896i | −0.227475 | − | 0.996634i | −0.951690 | − | 0.307060i | \(-0.900655\pi\) |
0.724215 | − | 0.689574i | \(-0.242202\pi\) | |||||||
\(252\) | −5.30235 | + | 5.90636i | −0.334016 | + | 0.372066i | ||||
\(253\) | −2.88833 | + | 12.6546i | −0.181588 | + | 0.795588i | ||||
\(254\) | 10.5110 | + | 5.06182i | 0.659517 | + | 0.317607i | ||||
\(255\) | 0.284894 | + | 0.587705i | 0.0178408 | + | 0.0368035i | ||||
\(256\) | −0.900969 | + | 0.433884i | −0.0563106 | + | 0.0271177i | ||||
\(257\) | −6.05852 | + | 15.4369i | −0.377920 | + | 0.962925i | 0.607733 | + | 0.794142i | \(0.292079\pi\) |
−0.985653 | + | 0.168784i | \(0.946016\pi\) | |||||||
\(258\) | 0.274564 | + | 1.79026i | 0.0170936 | + | 0.111457i | ||||
\(259\) | −1.18176 | − | 1.69201i | −0.0734307 | − | 0.105136i | ||||
\(260\) | −4.87155 | − | 2.34602i | −0.302121 | − | 0.145494i | ||||
\(261\) | 12.5801 | + | 15.6090i | 0.778688 | + | 0.966173i | ||||
\(262\) | 6.84653 | − | 17.4447i | 0.422980 | − | 1.07774i | ||||
\(263\) | −5.23628 | + | 9.06950i | −0.322883 | + | 0.559249i | −0.981082 | − | 0.193595i | \(-0.937985\pi\) |
0.658199 | + | 0.752844i | \(0.271319\pi\) | |||||||
\(264\) | −4.28726 | + | 0.990185i | −0.263863 | + | 0.0609417i | ||||
\(265\) | −10.6195 | + | 1.60064i | −0.652353 | + | 0.0983264i | ||||
\(266\) | 9.65691 | − | 3.91628i | 0.592103 | − | 0.240123i | ||||
\(267\) | −9.95799 | + | 20.8152i | −0.609419 | + | 1.27387i | ||||
\(268\) | −7.65548 | + | 9.59966i | −0.467633 | + | 0.586393i | ||||
\(269\) | 0.871514 | + | 11.6295i | 0.0531371 | + | 0.709066i | 0.958621 | + | 0.284685i | \(0.0918891\pi\) |
−0.905484 | + | 0.424381i | \(0.860492\pi\) | |||||||
\(270\) | −4.42664 | − | 4.69733i | −0.269397 | − | 0.285870i | ||||
\(271\) | −1.65322 | − | 4.21232i | −0.100426 | − | 0.255880i | 0.871827 | − | 0.489814i | \(-0.162935\pi\) |
−0.972253 | + | 0.233934i | \(0.924840\pi\) | |||||||
\(272\) | 0.300175 | + | 0.0452441i | 0.0182008 | + | 0.00274332i | ||||
\(273\) | −12.2198 | + | 15.7664i | −0.739576 | + | 0.954228i | ||||
\(274\) | −10.4887 | + | 1.58092i | −0.633646 | + | 0.0955068i | ||||
\(275\) | −4.39115 | − | 7.60569i | −0.264796 | − | 0.458640i | ||||
\(276\) | −2.58669 | + | 8.46331i | −0.155700 | + | 0.509431i | ||||
\(277\) | −32.3893 | + | 4.88191i | −1.94609 | + | 0.293325i | −0.999570 | − | 0.0293312i | \(-0.990662\pi\) |
−0.946516 | + | 0.322656i | \(0.895424\pi\) | |||||||
\(278\) | −18.0307 | − | 5.56174i | −1.08141 | − | 0.333571i | ||||
\(279\) | −10.4204 | + | 18.2657i | −0.623853 | + | 1.09354i | ||||
\(280\) | 2.82744 | − | 1.67521i | 0.168972 | − | 0.100113i | ||||
\(281\) | 12.3997 | + | 8.45398i | 0.739704 | + | 0.504322i | 0.873583 | − | 0.486676i | \(-0.161791\pi\) |
−0.133878 | + | 0.990998i | \(0.542743\pi\) | |||||||
\(282\) | 2.64468 | − | 17.8589i | 0.157488 | − | 1.06348i | ||||
\(283\) | −22.5525 | + | 10.8607i | −1.34061 | + | 0.645603i | −0.960226 | − | 0.279226i | \(-0.909922\pi\) |
−0.380383 | + | 0.924829i | \(0.624208\pi\) | |||||||
\(284\) | −1.82703 | − | 8.00472i | −0.108414 | − | 0.474993i | ||||
\(285\) | 2.51866 | + | 8.09110i | 0.149192 | + | 0.479276i | ||||
\(286\) | −10.5669 | + | 3.25946i | −0.624834 | + | 0.192736i | ||||
\(287\) | −0.278048 | + | 0.938865i | −0.0164126 | + | 0.0554194i | ||||
\(288\) | −2.96415 | + | 0.462429i | −0.174664 | + | 0.0272489i | ||||
\(289\) | 12.3943 | + | 11.5003i | 0.729078 | + | 0.676486i | ||||
\(290\) | −3.03259 | − | 7.72692i | −0.178080 | − | 0.453740i | ||||
\(291\) | −10.1469 | − | 5.82347i | −0.594823 | − | 0.341378i | ||||
\(292\) | 3.88744 | + | 2.65041i | 0.227495 | + | 0.155103i | ||||
\(293\) | 11.0587 | − | 19.1543i | 0.646057 | − | 1.11900i | −0.337999 | − | 0.941147i | \(-0.609750\pi\) |
0.984056 | − | 0.177858i | \(-0.0569167\pi\) | |||||||
\(294\) | −3.86373 | − | 11.4922i | −0.225337 | − | 0.670241i | ||||
\(295\) | 0.397332 | + | 0.688199i | 0.0231336 | + | 0.0400685i | ||||
\(296\) | 0.0582938 | − | 0.777877i | 0.00338826 | − | 0.0452132i | ||||
\(297\) | −13.1707 | − | 0.884542i | −0.764242 | − | 0.0513264i | ||||
\(298\) | 6.35096 | + | 0.957253i | 0.367901 | + | 0.0554522i | ||||
\(299\) | −4.94905 | + | 21.6832i | −0.286211 | + | 1.25397i | ||||
\(300\) | −2.61190 | − | 5.38806i | −0.150798 | − | 0.311080i | ||||
\(301\) | −2.58663 | − | 0.981664i | −0.149091 | − | 0.0565822i | ||||
\(302\) | −6.34300 | − | 5.88545i | −0.364999 | − | 0.338669i | ||||
\(303\) | 5.11172 | + | 1.15285i | 0.293660 | + | 0.0662294i | ||||
\(304\) | 3.76371 | + | 1.16095i | 0.215864 | + | 0.0665851i | ||||
\(305\) | −10.4072 | − | 7.09548i | −0.595912 | − | 0.406286i | ||||
\(306\) | 0.822537 | + | 0.390897i | 0.0470213 | + | 0.0223461i | ||||
\(307\) | 13.9501 | − | 6.71799i | 0.796172 | − | 0.383416i | 0.00885190 | − | 0.999961i | \(-0.497182\pi\) |
0.787320 | + | 0.616545i | \(0.211468\pi\) | |||||||
\(308\) | 1.90859 | − | 6.44462i | 0.108752 | − | 0.367216i | ||||
\(309\) | −15.1417 | + | 16.4035i | −0.861380 | + | 0.933164i | ||||
\(310\) | 6.38280 | − | 5.92237i | 0.362518 | − | 0.336368i | ||||
\(311\) | 5.30417 | + | 6.65121i | 0.300772 | + | 0.377156i | 0.909134 | − | 0.416504i | \(-0.136745\pi\) |
−0.608362 | + | 0.793659i | \(0.708173\pi\) | |||||||
\(312\) | −7.34608 | + | 1.69665i | −0.415890 | + | 0.0960538i | ||||
\(313\) | −0.750935 | −0.0424453 | −0.0212227 | − | 0.999775i | \(-0.506756\pi\) | ||||
−0.0212227 | + | 0.999775i | \(0.506756\pi\) | |||||||
\(314\) | 11.1268 | + | 13.9525i | 0.627919 | + | 0.787386i | ||||
\(315\) | 9.57480 | − | 2.35160i | 0.539479 | − | 0.132497i | ||||
\(316\) | −8.54151 | + | 10.7107i | −0.480498 | + | 0.602525i | ||||
\(317\) | −0.937097 | + | 1.17508i | −0.0526326 | + | 0.0659992i | −0.807451 | − | 0.589935i | \(-0.799154\pi\) |
0.754818 | + | 0.655934i | \(0.227725\pi\) | |||||||
\(318\) | −10.1572 | + | 11.0037i | −0.569588 | + | 0.617056i | ||||
\(319\) | −15.2951 | − | 7.36572i | −0.856359 | − | 0.412401i | ||||
\(320\) | 1.22829 | + | 0.185135i | 0.0686634 | + | 0.0103493i | ||||
\(321\) | −6.90607 | + | 14.4358i | −0.385460 | + | 0.805726i | ||||
\(322\) | −9.30590 | − | 9.80528i | −0.518598 | − | 0.546427i | ||||
\(323\) | −0.745477 | − | 0.934798i | −0.0414794 | − | 0.0520136i | ||||
\(324\) | −8.91285 | − | 1.24946i | −0.495158 | − | 0.0694145i | ||||
\(325\) | −7.52408 | − | 13.0321i | −0.417361 | − | 0.722890i | ||||
\(326\) | −9.76348 | + | 1.47161i | −0.540749 | + | 0.0815048i | ||||
\(327\) | 4.26399 | + | 0.308480i | 0.235799 | + | 0.0170590i | ||||
\(328\) | −0.305785 | + | 0.208480i | −0.0168841 | + | 0.0115114i | ||||
\(329\) | 21.7533 | + | 16.9500i | 1.19930 | + | 0.934483i | ||||
\(330\) | 5.09298 | + | 1.98370i | 0.280359 | + | 0.109199i | ||||
\(331\) | 2.20021 | + | 2.75897i | 0.120934 | + | 0.151647i | 0.838613 | − | 0.544727i | \(-0.183367\pi\) |
−0.717679 | + | 0.696374i | \(0.754795\pi\) | |||||||
\(332\) | 2.55807 | + | 1.74406i | 0.140392 | + | 0.0957178i | ||||
\(333\) | 0.843709 | − | 2.18279i | 0.0462349 | − | 0.119616i | ||||
\(334\) | −2.70782 | + | 1.84616i | −0.148166 | + | 0.101018i | ||||
\(335\) | 14.5742 | − | 4.49555i | 0.796274 | − | 0.245618i | ||||
\(336\) | 1.61494 | − | 4.28859i | 0.0881021 | − | 0.233962i | ||||
\(337\) | 17.5403 | + | 5.41048i | 0.955483 | + | 0.294727i | 0.733015 | − | 0.680213i | \(-0.238113\pi\) |
0.222468 | + | 0.974940i | \(0.428589\pi\) | |||||||
\(338\) | −5.68358 | + | 1.75315i | −0.309146 | + | 0.0953589i | ||||
\(339\) | 7.25001 | − | 15.1547i | 0.393767 | − | 0.823091i | ||||
\(340\) | −0.276417 | − | 0.256478i | −0.0149908 | − | 0.0139095i | ||||
\(341\) | 1.33075 | − | 17.7577i | 0.0720644 | − | 0.961632i | ||||
\(342\) | 9.79713 | + | 6.60577i | 0.529768 | + | 0.357199i | ||||
\(343\) | 18.1850 | + | 3.50812i | 0.981896 | + | 0.189421i | ||||
\(344\) | −0.522846 | − | 0.905596i | −0.0281900 | − | 0.0488264i | ||||
\(345\) | 8.57685 | − | 6.87609i | 0.461762 | − | 0.370196i | ||||
\(346\) | −2.85570 | + | 12.5116i | −0.153523 | + | 0.672630i | ||||
\(347\) | −13.8960 | + | 17.4251i | −0.745978 | + | 0.935427i | −0.999491 | − | 0.0319049i | \(-0.989843\pi\) |
0.253513 | + | 0.967332i | \(0.418414\pi\) | |||||||
\(348\) | −10.0386 | − | 5.76131i | −0.538126 | − | 0.308839i | ||||
\(349\) | −1.69663 | + | 1.57424i | −0.0908187 | + | 0.0842674i | −0.724276 | − | 0.689510i | \(-0.757826\pi\) |
0.633457 | + | 0.773778i | \(0.281635\pi\) | |||||||
\(350\) | 9.12800 | + | 0.580630i | 0.487912 | + | 0.0310360i | ||||
\(351\) | −22.5675 | − | 1.51563i | −1.20457 | − | 0.0808985i | ||||
\(352\) | 2.09899 | − | 1.43107i | 0.111876 | − | 0.0762760i | ||||
\(353\) | 35.6118 | + | 10.9848i | 1.89543 | + | 0.584662i | 0.985440 | + | 0.170023i | \(0.0543843\pi\) |
0.909986 | + | 0.414638i | \(0.136092\pi\) | |||||||
\(354\) | 1.03251 | + | 0.402160i | 0.0548774 | + | 0.0213745i | ||||
\(355\) | −3.72606 | + | 9.49386i | −0.197759 | + | 0.503882i | ||||
\(356\) | 0.995561 | − | 13.2848i | 0.0527646 | − | 0.704095i | ||||
\(357\) | −1.13842 | + | 0.799491i | −0.0602517 | + | 0.0423136i | ||||
\(358\) | 0.0903205 | + | 1.20524i | 0.00477359 | + | 0.0636991i | ||||
\(359\) | −11.5708 | − | 3.56912i | −0.610684 | − | 0.188371i | −0.0260400 | − | 0.999661i | \(-0.508290\pi\) |
−0.584644 | + | 0.811290i | \(0.698766\pi\) | |||||||
\(360\) | 3.36575 | + | 1.59951i | 0.177390 | + | 0.0843018i | ||||
\(361\) | 1.74334 | + | 3.01955i | 0.0917547 | + | 0.158924i | ||||
\(362\) | −19.4344 | −1.02145 | ||||||||
\(363\) | −7.32265 | + | 2.89576i | −0.384340 | + | 0.151988i | ||||
\(364\) | 3.27031 | − | 11.0426i | 0.171411 | − | 0.578791i | ||||
\(365\) | −2.13518 | − | 5.44035i | −0.111760 | − | 0.284761i | ||||
\(366\) | −17.5109 | + | 1.35770i | −0.915307 | + | 0.0709682i | ||||
\(367\) | 23.0196 | − | 15.6945i | 1.20161 | − | 0.819247i | 0.214106 | − | 0.976810i | \(-0.431316\pi\) |
0.987509 | + | 0.157563i | \(0.0503639\pi\) | |||||||
\(368\) | −0.381827 | − | 5.09513i | −0.0199041 | − | 0.265602i | ||||
\(369\) | −1.05925 | + | 0.332730i | −0.0551422 | + | 0.0173213i | ||||
\(370\) | −0.604135 | + | 0.757562i | −0.0314075 | + | 0.0393838i | ||||
\(371\) | −6.98846 | − | 21.7810i | −0.362823 | − | 1.13081i | ||||
\(372\) | 1.77856 | − | 12.0101i | 0.0922139 | − | 0.622697i | ||||
\(373\) | 15.5568 | + | 26.9452i | 0.805502 | + | 1.39517i | 0.915952 | + | 0.401288i | \(0.131437\pi\) |
−0.110450 | + | 0.993882i | \(0.535229\pi\) | |||||||
\(374\) | −0.771181 | −0.0398768 | ||||||||
\(375\) | −2.66542 | + | 17.9989i | −0.137642 | + | 0.929460i | ||||
\(376\) | 2.31939 | + | 10.1619i | 0.119614 | + | 0.524061i | ||||
\(377\) | −26.2076 | − | 12.6209i | −1.34976 | − | 0.650010i | ||||
\(378\) | 8.36563 | − | 10.9095i | 0.430282 | − | 0.561122i | ||||
\(379\) | 5.46566 | − | 2.63212i | 0.280752 | − | 0.135203i | −0.288209 | − | 0.957568i | \(-0.593060\pi\) |
0.568961 | + | 0.822364i | \(0.307345\pi\) | |||||||
\(380\) | −3.05042 | − | 3.82511i | −0.156483 | − | 0.196224i | ||||
\(381\) | −18.8288 | − | 7.33375i | −0.964628 | − | 0.375719i | ||||
\(382\) | −1.45233 | − | 6.36309i | −0.0743079 | − | 0.325564i | ||||
\(383\) | 2.11818 | + | 28.2651i | 0.108234 | + | 1.44428i | 0.741815 | + | 0.670605i | \(0.233965\pi\) |
−0.633581 | + | 0.773677i | \(0.718416\pi\) | |||||||
\(384\) | 1.49776 | − | 0.869893i | 0.0764323 | − | 0.0443915i | ||||
\(385\) | −6.46836 | + | 5.27875i | −0.329658 | + | 0.269030i | ||||
\(386\) | 1.47992 | + | 6.48395i | 0.0753260 | + | 0.330025i | ||||
\(387\) | −0.713838 | − | 3.05478i | −0.0362864 | − | 0.155283i | ||||
\(388\) | 6.67913 | + | 1.00672i | 0.339081 | + | 0.0511083i | ||||
\(389\) | 20.0771 | + | 18.6288i | 1.01795 | + | 0.944517i | 0.998470 | − | 0.0552933i | \(-0.0176094\pi\) |
0.0194770 | + | 0.999810i | \(0.493800\pi\) | |||||||
\(390\) | 8.72665 | + | 3.39900i | 0.441891 | + | 0.172115i | ||||
\(391\) | −0.775522 | + | 1.34324i | −0.0392198 | + | 0.0679307i | ||||
\(392\) | 4.48673 | + | 5.37301i | 0.226614 | + | 0.271378i | ||||
\(393\) | −9.48735 | + | 31.0414i | −0.478573 | + | 1.56583i | ||||
\(394\) | −2.83865 | + | 1.36702i | −0.143009 | + | 0.0688697i | ||||
\(395\) | 16.2610 | − | 5.01585i | 0.818180 | − | 0.252375i | ||||
\(396\) | 7.27096 | − | 2.28395i | 0.365379 | − | 0.114773i | ||||
\(397\) | 5.90426 | + | 5.47835i | 0.296326 | + | 0.274950i | 0.814298 | − | 0.580447i | \(-0.197122\pi\) |
−0.517972 | + | 0.855398i | \(0.673313\pi\) | |||||||
\(398\) | −14.5300 | + | 13.4819i | −0.728323 | + | 0.675785i | ||||
\(399\) | −16.1519 | + | 8.05589i | −0.808604 | + | 0.403299i | ||||
\(400\) | 2.53419 | + | 2.35138i | 0.126709 | + | 0.117569i | ||||
\(401\) | −2.03533 | − | 27.1596i | −0.101639 | − | 1.35628i | −0.781942 | − | 0.623352i | \(-0.785770\pi\) |
0.680302 | − | 0.732932i | \(-0.261849\pi\) | |||||||
\(402\) | 11.9347 | − | 17.6024i | 0.595247 | − | 0.877926i | ||||
\(403\) | 2.28020 | − | 30.4272i | 0.113585 | − | 1.51569i | ||||
\(404\) | −2.99159 | + | 0.450909i | −0.148837 | + | 0.0224336i | ||||
\(405\) | 8.27316 | + | 7.51898i | 0.411097 | + | 0.373621i | ||||
\(406\) | 15.2108 | − | 9.01217i | 0.754901 | − | 0.447266i | ||||
\(407\) | 0.148090 | + | 1.97613i | 0.00734056 | + | 0.0979530i | ||||
\(408\) | −0.524420 | − | 0.0379394i | −0.0259627 | − | 0.00187828i | ||||
\(409\) | −12.5993 | − | 15.7990i | −0.622994 | − | 0.781210i | 0.365768 | − | 0.930706i | \(-0.380806\pi\) |
−0.988762 | + | 0.149496i | \(0.952235\pi\) | |||||||
\(410\) | 0.459714 | 0.0227037 | ||||||||
\(411\) | 17.9010 | − | 4.13440i | 0.882989 | − | 0.203935i | ||||
\(412\) | 4.70873 | − | 11.9976i | 0.231982 | − | 0.591081i | ||||
\(413\) | −1.31134 | + | 1.07017i | −0.0645271 | + | 0.0526598i | ||||
\(414\) | 3.33370 | − | 14.9614i | 0.163842 | − | 0.735310i | ||||
\(415\) | −1.40502 | − | 3.57994i | −0.0689698 | − | 0.175732i | ||||
\(416\) | 3.59654 | − | 2.45208i | 0.176335 | − | 0.120223i | ||||
\(417\) | 31.8813 | + | 7.19021i | 1.56124 | + | 0.352106i | ||||
\(418\) | −9.89415 | − | 1.49130i | −0.483939 | − | 0.0729420i | ||||
\(419\) | −8.71279 | − | 22.1998i | −0.425647 | − | 1.08453i | −0.969444 | − | 0.245315i | \(-0.921109\pi\) |
0.543796 | − | 0.839217i | \(-0.316986\pi\) | |||||||
\(420\) | −4.65832 | + | 3.27144i | −0.227303 | + | 0.159630i | ||||
\(421\) | −11.5216 | + | 29.3565i | −0.561527 | + | 1.43075i | 0.314860 | + | 0.949138i | \(0.398043\pi\) |
−0.876386 | + | 0.481609i | \(0.840053\pi\) | |||||||
\(422\) | 1.26686 | − | 2.19426i | 0.0616696 | − | 0.106815i | ||||
\(423\) | −2.17585 | + | 31.1940i | −0.105793 | + | 1.51670i | ||||
\(424\) | 3.15867 | − | 8.04815i | 0.153398 | − | 0.390853i | ||||
\(425\) | −0.233521 | − | 1.02312i | −0.0113275 | − | 0.0496288i | ||||
\(426\) | 4.22680 | + | 13.5785i | 0.204789 | + | 0.657879i | ||||
\(427\) | 11.3672 | − | 24.3014i | 0.550097 | − | 1.17603i | ||||
\(428\) | 0.690442 | − | 9.21331i | 0.0333738 | − | 0.445342i | ||||
\(429\) | 17.8112 | − | 7.04348i | 0.859934 | − | 0.340062i | ||||
\(430\) | −0.0970683 | + | 1.29529i | −0.00468105 | + | 0.0624642i | ||||
\(431\) | −15.4509 | + | 14.3363i | −0.744243 | + | 0.690557i | −0.958140 | − | 0.286300i | \(-0.907575\pi\) |
0.213897 | + | 0.976856i | \(0.431384\pi\) | |||||||
\(432\) | 5.05677 | − | 1.19543i | 0.243294 | − | 0.0575152i | ||||
\(433\) | 4.37562 | − | 19.1708i | 0.210279 | − | 0.921291i | −0.754099 | − | 0.656761i | \(-0.771926\pi\) |
0.964377 | − | 0.264530i | \(-0.0852168\pi\) | |||||||
\(434\) | 14.6292 | + | 11.3989i | 0.702224 | + | 0.547166i | ||||
\(435\) | 6.27146 | + | 12.9373i | 0.300694 | + | 0.620297i | ||||
\(436\) | −2.35859 | + | 0.727529i | −0.112956 | + | 0.0348423i | ||||
\(437\) | −12.5474 | + | 15.7339i | −0.600223 | + | 0.752656i | ||||
\(438\) | −7.06796 | − | 4.05641i | −0.337720 | − | 0.193823i | ||||
\(439\) | 3.19363 | − | 1.53797i | 0.152423 | − | 0.0734032i | −0.356117 | − | 0.934441i | \(-0.615900\pi\) |
0.508540 | + | 0.861038i | \(0.330185\pi\) | |||||||
\(440\) | −3.15560 | −0.150437 | ||||||||
\(441\) | 8.21087 | + | 19.3283i | 0.390994 | + | 0.920393i | ||||
\(442\) | −1.32139 | −0.0628522 | ||||||||
\(443\) | 10.9500 | − | 5.27323i | 0.520249 | − | 0.250539i | −0.155282 | − | 0.987870i | \(-0.549629\pi\) |
0.675531 | + | 0.737331i | \(0.263914\pi\) | |||||||
\(444\) | 0.00348613 | + | 1.35110i | 0.000165444 | + | 0.0641201i | ||||
\(445\) | −10.3176 | + | 12.9379i | −0.489103 | + | 0.613315i | ||||
\(446\) | −9.22925 | + | 2.84685i | −0.437017 | + | 0.134802i | ||||
\(447\) | −11.0954 | − | 0.802704i | −0.524796 | − | 0.0379666i | ||||
\(448\) | 0.0298321 | + | 2.64558i | 0.00140943 | + | 0.124992i | ||||
\(449\) | 4.98442 | − | 21.8382i | 0.235229 | − | 1.03061i | −0.710000 | − | 0.704201i | \(-0.751305\pi\) |
0.945230 | − | 0.326406i | \(-0.105838\pi\) | |||||||
\(450\) | 5.23183 | + | 8.95476i | 0.246631 | + | 0.422131i | ||||
\(451\) | 0.689206 | − | 0.639489i | 0.0324534 | − | 0.0301124i | ||||
\(452\) | −0.724828 | + | 9.67216i | −0.0340930 | + | 0.454940i | ||||
\(453\) | 11.7415 | + | 9.31411i | 0.551666 | + | 0.437615i | ||||
\(454\) | −0.215957 | + | 2.88174i | −0.0101353 | + | 0.135247i | ||||
\(455\) | −11.0833 | + | 9.04496i | −0.519593 | + | 0.424034i | ||||
\(456\) | −6.65487 | − | 1.50088i | −0.311643 | − | 0.0702850i | ||||
\(457\) | −4.59120 | − | 20.1154i | −0.214767 | − | 0.940957i | −0.961277 | − | 0.275583i | \(-0.911129\pi\) |
0.746510 | − | 0.665374i | \(-0.231728\pi\) | |||||||
\(458\) | 1.41156 | − | 3.59661i | 0.0659581 | − | 0.168058i | ||||
\(459\) | −1.47275 | − | 0.564896i | −0.0687421 | − | 0.0263671i | ||||
\(460\) | −3.17336 | + | 5.49643i | −0.147959 | + | 0.256272i | ||||
\(461\) | 6.47839 | − | 16.5067i | 0.301729 | − | 0.768792i | −0.696936 | − | 0.717133i | \(-0.745454\pi\) |
0.998665 | − | 0.0516586i | \(-0.0164508\pi\) | |||||||
\(462\) | −2.43300 | + | 11.3846i | −0.113193 | + | 0.529657i | ||||
\(463\) | 9.83961 | + | 25.0709i | 0.457285 | + | 1.16514i | 0.954684 | + | 0.297622i | \(0.0961935\pi\) |
−0.497398 | + | 0.867522i | \(0.665711\pi\) | |||||||
\(464\) | 6.60784 | + | 0.995971i | 0.306761 | + | 0.0462368i | ||||
\(465\) | −10.2293 | + | 11.0818i | −0.474372 | + | 0.513904i | ||||
\(466\) | 23.6881 | − | 16.1503i | 1.09733 | − | 0.748146i | ||||
\(467\) | 15.2349 | + | 38.8179i | 0.704987 | + | 1.79628i | 0.597180 | + | 0.802107i | \(0.296288\pi\) |
0.107807 | + | 0.994172i | \(0.465617\pi\) | |||||||
\(468\) | 12.4585 | − | 3.91347i | 0.575896 | − | 0.180900i | ||||
\(469\) | 14.4241 | + | 29.1078i | 0.666044 | + | 1.34407i | ||||
\(470\) | 4.73021 | − | 12.0524i | 0.218188 | − | 0.555934i | ||||
\(471\) | −21.0826 | − | 22.6044i | −0.971434 | − | 1.04155i | ||||
\(472\) | −0.639743 | −0.0294465 | ||||||||
\(473\) | 1.65629 | + | 2.07693i | 0.0761564 | + | 0.0954972i | ||||
\(474\) | 13.3160 | − | 19.6396i | 0.611623 | − | 0.902078i | ||||
\(475\) | −1.01754 | − | 13.5781i | −0.0466880 | − | 0.623007i | ||||
\(476\) | 0.444924 | − | 0.668660i | 0.0203931 | − | 0.0306480i | ||||
\(477\) | 16.0669 | − | 20.3619i | 0.735651 | − | 0.932306i | ||||
\(478\) | −0.693248 | + | 0.104490i | −0.0317084 | + | 0.00477927i | ||||
\(479\) | −0.611851 | + | 8.16458i | −0.0279562 | + | 0.373049i | 0.965626 | + | 0.259936i | \(0.0837014\pi\) |
−0.993582 | + | 0.113113i | \(0.963918\pi\) | |||||||
\(480\) | −2.14588 | − | 0.155245i | −0.0979455 | − | 0.00708591i | ||||
\(481\) | 0.253748 | + | 3.38603i | 0.0115699 | + | 0.154390i | ||||
\(482\) | −20.3523 | − | 18.8842i | −0.927023 | − | 0.860151i | ||||
\(483\) | 17.3829 | + | 15.6864i | 0.790950 | + | 0.713757i | ||||
\(484\) | 3.33268 | − | 3.09227i | 0.151485 | − | 0.140558i | ||||
\(485\) | −6.15050 | − | 5.70683i | −0.279280 | − | 0.259134i | ||||
\(486\) | 15.5586 | + | 0.964290i | 0.705753 | + | 0.0437411i | ||||
\(487\) | 22.9706 | − | 7.08550i | 1.04090 | − | 0.321075i | 0.273248 | − | 0.961943i | \(-0.411902\pi\) |
0.767651 | + | 0.640869i | \(0.221426\pi\) | |||||||
\(488\) | 9.13604 | − | 4.39969i | 0.413569 | − | 0.199164i | ||||
\(489\) | 16.6632 | − | 3.84853i | 0.753536 | − | 0.174036i | ||||
\(490\) | −0.845146 | − | 8.65396i | −0.0381798 | − | 0.390946i | ||||
\(491\) | −20.7427 | + | 35.9274i | −0.936105 | + | 1.62138i | −0.163454 | + | 0.986551i | \(0.552264\pi\) |
−0.772651 | + | 0.634831i | \(0.781070\pi\) | |||||||
\(492\) | 0.500136 | − | 0.400960i | 0.0225479 | − | 0.0180767i | ||||
\(493\) | −1.48705 | − | 1.37978i | −0.0669732 | − | 0.0621420i | ||||
\(494\) | −16.9533 | − | 2.55530i | −0.762765 | − | 0.114968i | ||||
\(495\) | −9.06050 | − | 2.74367i | −0.407239 | − | 0.123319i | ||||
\(496\) | 1.55980 | + | 6.83393i | 0.0700371 | + | 0.306853i | ||||
\(497\) | −21.2317 | − | 4.59475i | −0.952370 | − | 0.206103i | ||||
\(498\) | −4.65096 | − | 2.66926i | −0.208415 | − | 0.119612i | ||||
\(499\) | −1.27141 | − | 16.9658i | −0.0569163 | − | 0.759495i | −0.950525 | − | 0.310648i | \(-0.899454\pi\) |
0.893609 | − | 0.448847i | \(-0.148165\pi\) | |||||||
\(500\) | −2.33758 | − | 10.2416i | −0.104540 | − | 0.458019i | ||||
\(501\) | 4.42887 | − | 3.55064i | 0.197867 | − | 0.158631i | ||||
\(502\) | −10.0979 | − | 12.6623i | −0.450690 | − | 0.565147i | ||||
\(503\) | −19.8501 | + | 9.55930i | −0.885071 | + | 0.426228i | −0.820474 | − | 0.571683i | \(-0.806291\pi\) |
−0.0645972 | + | 0.997911i | \(0.520576\pi\) | |||||||
\(504\) | −2.21457 | + | 7.62205i | −0.0986450 | + | 0.339513i | ||||
\(505\) | 3.38585 | + | 1.63054i | 0.150668 | + | 0.0725580i | ||||
\(506\) | 2.88833 | + | 12.6546i | 0.128402 | + | 0.562566i | ||||
\(507\) | 9.58006 | − | 3.78845i | 0.425465 | − | 0.168251i | ||||
\(508\) | 11.6663 | 0.517608 | ||||||||
\(509\) | −16.7988 | − | 29.0964i | −0.744593 | − | 1.28967i | −0.950385 | − | 0.311077i | \(-0.899310\pi\) |
0.205791 | − | 0.978596i | \(-0.434023\pi\) | |||||||
\(510\) | 0.511676 | + | 0.405893i | 0.0226574 | + | 0.0179732i | ||||
\(511\) | 10.7096 | − | 6.34526i | 0.473765 | − | 0.280698i | ||||
\(512\) | −0.623490 | + | 0.781831i | −0.0275546 | + | 0.0345524i | ||||
\(513\) | −17.8028 | − | 10.0955i | −0.786013 | − | 0.445729i | ||||
\(514\) | 1.23926 | + | 16.5368i | 0.0546616 | + | 0.729408i | ||||
\(515\) | −13.2278 | + | 9.01858i | −0.582888 | + | 0.397406i | ||||
\(516\) | 1.02414 | + | 1.49384i | 0.0450852 | + | 0.0657626i | ||||
\(517\) | −9.67400 | − | 24.6490i | −0.425462 | − | 1.08406i | ||||
\(518\) | −1.79886 | − | 1.01170i | −0.0790373 | − | 0.0444516i | ||||
\(519\) | 3.25620 | − | 21.9883i | 0.142932 | − | 0.965180i | ||||
\(520\) | −5.40702 | −0.237113 | ||||||||
\(521\) | 15.5660 | + | 26.9612i | 0.681960 | + | 1.18119i | 0.974382 | + | 0.224900i | \(0.0722056\pi\) |
−0.292422 | + | 0.956289i | \(0.594461\pi\) | |||||||
\(522\) | 18.1068 | + | 8.60493i | 0.792511 | + | 0.376627i | ||||
\(523\) | 20.6491 | + | 6.36942i | 0.902924 | + | 0.278515i | 0.711246 | − | 0.702943i | \(-0.248131\pi\) |
0.191678 | + | 0.981458i | \(0.438607\pi\) | |||||||
\(524\) | −1.40045 | − | 18.6877i | −0.0611790 | − | 0.816376i | ||||
\(525\) | −15.8406 | + | 0.219500i | −0.691340 | + | 0.00957978i | ||||
\(526\) | −0.782615 | + | 10.4433i | −0.0341236 | + | 0.455348i | ||||
\(527\) | 0.777408 | − | 1.98080i | 0.0338644 | − | 0.0862851i | ||||
\(528\) | −3.43306 | + | 2.75230i | −0.149405 | + | 0.119778i | ||||
\(529\) | 2.96818 | + | 0.915563i | 0.129051 | + | 0.0398071i | ||||
\(530\) | −8.87338 | + | 6.04977i | −0.385435 | + | 0.262785i | ||||
\(531\) | −1.83686 | − | 0.556231i | −0.0797128 | − | 0.0241384i | ||||
\(532\) | 7.00137 | − | 7.71843i | 0.303548 | − | 0.334636i | ||||
\(533\) | 1.18093 | − | 1.09574i | 0.0511518 | − | 0.0474619i | ||||
\(534\) | 0.0595373 | + | 23.0745i | 0.00257643 | + | 0.998530i | ||||
\(535\) | −7.15549 | + | 8.97270i | −0.309359 | + | 0.387924i | ||||
\(536\) | −2.73221 | + | 11.9706i | −0.118013 | + | 0.517050i | ||||
\(537\) | −0.317345 | − | 2.06920i | −0.0136944 | − | 0.0892927i | ||||
\(538\) | 5.83108 | + | 10.0997i | 0.251396 | + | 0.435430i | ||||
\(539\) | −13.3052 | − | 11.7984i | −0.573096 | − | 0.508193i | ||||
\(540\) | −6.02636 | − | 2.31150i | −0.259333 | − | 0.0994712i | ||||
\(541\) | −2.83205 | + | 37.7911i | −0.121759 | + | 1.62477i | 0.517435 | + | 0.855722i | \(0.326887\pi\) |
−0.639195 | + | 0.769045i | \(0.720732\pi\) | |||||||
\(542\) | −3.31715 | − | 3.07787i | −0.142484 | − | 0.132206i | ||||
\(543\) | 33.5607 | − | 2.60212i | 1.44023 | − | 0.111668i | ||||
\(544\) | 0.290079 | − | 0.0894775i | 0.0124370 | − | 0.00383631i | ||||
\(545\) | 2.92975 | + | 0.903708i | 0.125497 | + | 0.0387106i | ||||
\(546\) | −4.16887 | + | 19.5070i | −0.178411 | + | 0.834825i | ||||
\(547\) | −21.0290 | + | 6.48657i | −0.899133 | + | 0.277346i | −0.709664 | − | 0.704541i | \(-0.751153\pi\) |
−0.189470 | + | 0.981887i | \(0.560677\pi\) | |||||||
\(548\) | −8.76407 | + | 5.97524i | −0.374383 | + | 0.255250i | ||||
\(549\) | 30.0572 | − | 4.68914i | 1.28281 | − | 0.200128i | ||||
\(550\) | −7.25627 | − | 4.94724i | −0.309408 | − | 0.210951i | ||||
\(551\) | −16.4104 | − | 20.5780i | −0.699106 | − | 0.876652i | ||||
\(552\) | 1.34157 | + | 8.74750i | 0.0571008 | + | 0.372318i | ||||
\(553\) | 16.0936 | + | 32.4767i | 0.684368 | + | 1.38105i | ||||
\(554\) | −27.0636 | + | 18.4516i | −1.14982 | + | 0.783935i | ||||
\(555\) | 0.941830 | − | 1.38910i | 0.0399785 | − | 0.0589639i | ||||
\(556\) | −18.6583 | + | 2.81228i | −0.791287 | + | 0.119267i | ||||
\(557\) | 11.8969 | + | 20.6060i | 0.504086 | + | 0.873102i | 0.999989 | + | 0.00472430i | \(0.00150380\pi\) |
−0.495903 | + | 0.868378i | \(0.665163\pi\) | |||||||
\(558\) | −1.46327 | + | 20.9781i | −0.0619450 | + | 0.888072i | ||||
\(559\) | 2.83800 | + | 3.55874i | 0.120035 | + | 0.150519i | ||||
\(560\) | 1.82059 | − | 2.73610i | 0.0769339 | − | 0.115621i | ||||
\(561\) | 1.33173 | − | 0.103255i | 0.0562256 | − | 0.00435944i | ||||
\(562\) | 14.8398 | + | 2.23674i | 0.625979 | + | 0.0943511i | ||||
\(563\) | 5.81977 | + | 2.80265i | 0.245274 | + | 0.118118i | 0.552482 | − | 0.833525i | \(-0.313681\pi\) |
−0.307209 | + | 0.951642i | \(0.599395\pi\) | |||||||
\(564\) | −5.36589 | − | 17.2378i | −0.225945 | − | 0.725840i | ||||
\(565\) | 7.51185 | − | 9.41956i | 0.316026 | − | 0.396284i | ||||
\(566\) | −15.6068 | + | 19.5704i | −0.656004 | + | 0.822603i | ||||
\(567\) | −12.9857 | + | 19.9593i | −0.545346 | + | 0.838211i | ||||
\(568\) | −5.11921 | − | 6.41929i | −0.214797 | − | 0.269347i | ||||
\(569\) | −18.6874 | −0.783415 | −0.391707 | − | 0.920090i | \(-0.628115\pi\) | ||||
−0.391707 | + | 0.920090i | \(0.628115\pi\) | |||||||
\(570\) | 5.77983 | + | 6.19703i | 0.242090 | + | 0.259565i | ||||
\(571\) | 14.6977 | + | 18.4303i | 0.615080 | + | 0.771286i | 0.987643 | − | 0.156721i | \(-0.0500924\pi\) |
−0.372563 | + | 0.928007i | \(0.621521\pi\) | |||||||
\(572\) | −8.10622 | + | 7.52148i | −0.338938 | + | 0.314489i | ||||
\(573\) | 3.35996 | + | 10.7938i | 0.140364 | + | 0.450916i | ||||
\(574\) | 0.156846 | + | 0.966528i | 0.00654663 | + | 0.0403421i | ||||
\(575\) | −15.9142 | + | 7.66388i | −0.663669 | + | 0.319606i | ||||
\(576\) | −2.46996 | + | 1.70273i | −0.102915 | + | 0.0709470i | ||||
\(577\) | 0.860913 | + | 0.586961i | 0.0358403 | + | 0.0244355i | 0.581108 | − | 0.813827i | \(-0.302620\pi\) |
−0.545267 | + | 0.838262i | \(0.683572\pi\) | |||||||
\(578\) | 16.1567 | + | 4.98368i | 0.672029 | + | 0.207294i | ||||
\(579\) | −3.42378 | − | 10.9988i | −0.142287 | − | 0.457094i | ||||
\(580\) | −6.08485 | − | 5.64592i | −0.252660 | − | 0.234434i | ||||
\(581\) | 7.04729 | − | 4.17540i | 0.292371 | − | 0.173225i | ||||
\(582\) | −11.6688 | − | 0.844182i | −0.483686 | − | 0.0349925i | ||||
\(583\) | −4.88743 | + | 21.4132i | −0.202417 | + | 0.886846i | ||||
\(584\) | 4.65243 | + | 0.701241i | 0.192519 | + | 0.0290175i | ||||
\(585\) | −15.5249 | − | 4.70119i | −0.641874 | − | 0.194370i | ||||
\(586\) | 1.65284 | − | 22.0556i | 0.0682781 | − | 0.911108i | ||||
\(587\) | −4.21508 | − | 7.30072i | −0.173975 | − | 0.301333i | 0.765831 | − | 0.643042i | \(-0.222328\pi\) |
−0.939806 | + | 0.341708i | \(0.888994\pi\) | |||||||
\(588\) | −8.46739 | − | 8.67774i | −0.349189 | − | 0.357864i | ||||
\(589\) | 13.8045 | − | 23.9101i | 0.568804 | − | 0.985198i | ||||
\(590\) | 0.656582 | + | 0.447650i | 0.0270311 | + | 0.0184295i | ||||
\(591\) | 4.71895 | − | 2.74074i | 0.194112 | − | 0.112739i | ||||
\(592\) | −0.284987 | − | 0.726135i | −0.0117129 | − | 0.0298440i | ||||
\(593\) | −24.1042 | − | 22.3655i | −0.989843 | − | 0.918440i | 0.00682767 | − | 0.999977i | \(-0.497827\pi\) |
−0.996670 | + | 0.0815369i | \(0.974017\pi\) | |||||||
\(594\) | −12.2502 | + | 4.91761i | −0.502631 | + | 0.201772i | ||||
\(595\) | −0.924520 | + | 0.374932i | −0.0379016 | + | 0.0153707i | ||||
\(596\) | 6.13735 | − | 1.89312i | 0.251396 | − | 0.0775453i | ||||
\(597\) | 23.2863 | − | 25.2269i | 0.953044 | − | 1.03247i | ||||
\(598\) | 4.94905 | + | 21.6832i | 0.202382 | + | 0.886693i | ||||
\(599\) | 17.5102 | − | 8.43246i | 0.715446 | − | 0.344541i | −0.0404954 | − | 0.999180i | \(-0.512894\pi\) |
0.755942 | + | 0.654639i | \(0.227179\pi\) | |||||||
\(600\) | −4.69104 | − | 3.72122i | −0.191511 | − | 0.151918i | ||||
\(601\) | −1.81085 | − | 1.23462i | −0.0738661 | − | 0.0503610i | 0.525824 | − | 0.850593i | \(-0.323757\pi\) |
−0.599690 | + | 0.800232i | \(0.704709\pi\) | |||||||
\(602\) | −2.75640 | + | 0.237846i | −0.112342 | + | 0.00969388i | ||||
\(603\) | −18.2528 | + | 31.9949i | −0.743311 | + | 1.30293i | ||||
\(604\) | −8.26845 | − | 2.55048i | −0.336438 | − | 0.103778i | ||||
\(605\) | −5.58417 | + | 0.841678i | −0.227029 | + | 0.0342191i | ||||
\(606\) | 5.10570 | − | 1.17921i | 0.207405 | − | 0.0479022i | ||||
\(607\) | 0.922442 | + | 1.59772i | 0.0374408 | + | 0.0648493i | 0.884139 | − | 0.467225i | \(-0.154746\pi\) |
−0.846698 | + | 0.532074i | \(0.821413\pi\) | |||||||
\(608\) | 3.89470 | − | 0.587032i | 0.157951 | − | 0.0238073i | ||||
\(609\) | −25.0604 | + | 17.5994i | −1.01550 | + | 0.713165i | ||||
\(610\) | −12.4551 | − | 1.87731i | −0.504294 | − | 0.0760101i | ||||
\(611\) | −16.5761 | − | 42.2351i | −0.670596 | − | 1.70865i | ||||
\(612\) | 0.910684 | − | 0.00469957i | 0.0368122 | − | 0.000189969i | ||||
\(613\) | −2.69277 | − | 35.9325i | −0.108760 | − | 1.45130i | −0.738373 | − | 0.674393i | \(-0.764405\pi\) |
0.629613 | − | 0.776909i | \(-0.283214\pi\) | |||||||
\(614\) | 9.65374 | − | 12.1054i | 0.389593 | − | 0.488534i | ||||
\(615\) | −0.793866 | + | 0.0615523i | −0.0320118 | + | 0.00248203i | ||||
\(616\) | −1.07663 | − | 6.63451i | −0.0433788 | − | 0.267312i | ||||
\(617\) | 0.0361823 | − | 0.00545361i | 0.00145665 | − | 0.000219554i | −0.148314 | − | 0.988940i | \(-0.547385\pi\) |
0.149771 | + | 0.988721i | \(0.452147\pi\) | |||||||
\(618\) | −6.52495 | + | 21.3488i | −0.262472 | + | 0.858775i | ||||
\(619\) | 4.14398 | − | 7.17759i | 0.166561 | − | 0.288492i | −0.770648 | − | 0.637261i | \(-0.780067\pi\) |
0.937208 | + | 0.348770i | \(0.113401\pi\) | |||||||
\(620\) | 3.18108 | − | 8.10526i | 0.127755 | − | 0.325515i | ||||
\(621\) | −3.75364 | + | 26.2826i | −0.150628 | + | 1.05469i | ||||
\(622\) | 7.66474 | + | 3.69114i | 0.307328 | + | 0.148001i | ||||
\(623\) | −30.7215 | − | 17.2782i | −1.23083 | − | 0.692235i | ||||
\(624\) | −5.88244 | + | 4.71597i | −0.235486 | + | 0.188790i | ||||
\(625\) | 1.54768 | − | 3.94342i | 0.0619071 | − | 0.157737i | ||||
\(626\) | −0.676569 | + | 0.325818i | −0.0270411 | + | 0.0130223i | ||||
\(627\) | 17.2856 | + | 1.25053i | 0.690319 | + | 0.0499414i | ||||
\(628\) | 16.0786 | + | 7.74306i | 0.641607 | + | 0.308982i | ||||
\(629\) | −0.0526926 | + | 0.230862i | −0.00210099 | + | 0.00920505i | ||||
\(630\) | 7.60628 | − | 6.27307i | 0.303041 | − | 0.249925i | ||||
\(631\) | 5.50165 | + | 24.1043i | 0.219017 | + | 0.959578i | 0.958206 | + | 0.286079i | \(0.0923521\pi\) |
−0.739189 | + | 0.673499i | \(0.764791\pi\) | |||||||
\(632\) | −3.04843 | + | 13.3560i | −0.121260 | + | 0.531275i | ||||
\(633\) | −1.89390 | + | 3.95882i | −0.0752757 | + | 0.157349i | ||||
\(634\) | −0.334446 | + | 1.46530i | −0.0132825 | + | 0.0581946i | ||||
\(635\) | −11.9734 | − | 8.16331i | −0.475149 | − | 0.323951i | ||||
\(636\) | −4.37702 | + | 14.3210i | −0.173560 | + | 0.567865i | ||||
\(637\) | −22.7980 | − | 20.2162i | −0.903291 | − | 0.800994i | ||||
\(638\) | −16.9762 | −0.672096 | ||||||||
\(639\) | −9.11719 | − | 22.8823i | −0.360670 | − | 0.905209i | ||||
\(640\) | 1.18698 | − | 0.366134i | 0.0469193 | − | 0.0144727i | ||||
\(641\) | 6.53577 | + | 16.6529i | 0.258147 | + | 0.657749i | 0.999917 | − | 0.0129064i | \(-0.00410836\pi\) |
−0.741769 | + | 0.670655i | \(0.766013\pi\) | |||||||
\(642\) | 0.0412904 | + | 16.0026i | 0.00162960 | + | 0.631573i | ||||
\(643\) | −4.82619 | − | 1.48868i | −0.190326 | − | 0.0587079i | 0.198127 | − | 0.980176i | \(-0.436514\pi\) |
−0.388453 | + | 0.921469i | \(0.626990\pi\) | |||||||
\(644\) | −12.6387 | − | 4.79657i | −0.498034 | − | 0.189011i | ||||
\(645\) | −0.00580495 | − | 2.24978i | −0.000228570 | − | 0.0885852i | ||||
\(646\) | −1.07724 | − | 0.518774i | −0.0423836 | − | 0.0204109i | ||||
\(647\) | 1.74885 | − | 1.62269i | 0.0687543 | − | 0.0637947i | −0.645047 | − | 0.764143i | \(-0.723162\pi\) |
0.713802 | + | 0.700348i | \(0.246972\pi\) | |||||||
\(648\) | −8.57232 | + | 2.74141i | −0.336752 | + | 0.107693i | ||||
\(649\) | 1.60706 | − | 0.242225i | 0.0630825 | − | 0.00950816i | ||||
\(650\) | −12.4334 | − | 8.47693i | −0.487677 | − | 0.332493i | ||||
\(651\) | −26.7889 | − | 17.7257i | −1.04994 | − | 0.694725i | ||||
\(652\) | −8.15809 | + | 5.56209i | −0.319495 | + | 0.217828i | ||||
\(653\) | −10.9601 | + | 10.1694i | −0.428900 | + | 0.397961i | −0.864867 | − | 0.502002i | \(-0.832597\pi\) |
0.435966 | + | 0.899963i | \(0.356407\pi\) | |||||||
\(654\) | 3.97556 | − | 1.57214i | 0.155457 | − | 0.0614757i | ||||
\(655\) | −11.6391 | + | 20.1596i | −0.454778 | + | 0.787699i | ||||
\(656\) | −0.185046 | + | 0.320509i | −0.00722484 | + | 0.0125138i | ||||
\(657\) | 12.7486 | + | 6.05853i | 0.497368 | + | 0.236366i | ||||
\(658\) | 26.9534 | + | 5.83300i | 1.05075 | + | 0.227394i | ||||
\(659\) | 31.3766 | + | 4.72926i | 1.22226 | + | 0.184226i | 0.728299 | − | 0.685260i | \(-0.240311\pi\) |
0.493959 | + | 0.869485i | \(0.335549\pi\) | |||||||
\(660\) | 5.44931 | − | 0.422511i | 0.212114 | − | 0.0164462i | ||||
\(661\) | 24.4167 | + | 11.7584i | 0.949698 | + | 0.457351i | 0.843580 | − | 0.537003i | \(-0.180444\pi\) |
0.106118 | + | 0.994354i | \(0.466158\pi\) | |||||||
\(662\) | 3.17939 | + | 1.53111i | 0.123571 | + | 0.0595084i | ||||
\(663\) | 2.28187 | − | 0.176925i | 0.0886205 | − | 0.00687118i | ||||
\(664\) | 3.06146 | + | 0.461441i | 0.118808 | + | 0.0179074i | ||||
\(665\) | −12.5865 | + | 3.02250i | −0.488084 | + | 0.117207i | ||||
\(666\) | −0.186922 | − | 2.33270i | −0.00724306 | − | 0.0903902i | ||||
\(667\) | −17.0718 | + | 29.5692i | −0.661022 | + | 1.14492i | ||||
\(668\) | −1.63865 | + | 2.83822i | −0.0634011 | + | 0.109814i | ||||
\(669\) | 15.5565 | − | 6.15185i | 0.601450 | − | 0.237844i | ||||
\(670\) | 11.1804 | − | 10.3739i | 0.431935 | − | 0.400777i | ||||
\(671\) | −21.2842 | + | 14.5114i | −0.821669 | + | 0.560204i | ||||
\(672\) | −0.405740 | − | 4.56458i | −0.0156517 | − | 0.176082i | ||||
\(673\) | −19.4092 | − | 13.2330i | −0.748169 | − | 0.510093i | 0.128191 | − | 0.991749i | \(-0.459083\pi\) |
−0.876360 | + | 0.481657i | \(0.840035\pi\) | |||||||
\(674\) | 18.1508 | − | 2.73579i | 0.699143 | − | 0.105379i | ||||
\(675\) | −10.2337 | − | 14.7632i | −0.393894 | − | 0.568235i | ||||
\(676\) | −4.36006 | + | 4.04555i | −0.167695 | + | 0.155598i | ||||
\(677\) | −39.6971 | − | 19.1171i | −1.52568 | − | 0.734730i | −0.531977 | − | 0.846759i | \(-0.678551\pi\) |
−0.993705 | + | 0.112029i | \(0.964265\pi\) | |||||||
\(678\) | −0.0433467 | − | 16.7996i | −0.00166472 | − | 0.645184i | ||||
\(679\) | 9.89992 | − | 14.8782i | 0.379924 | − | 0.570974i | ||||
\(680\) | −0.360325 | − | 0.111145i | −0.0138178 | − | 0.00426223i | ||||
\(681\) | −0.0129148 | − | 5.00530i | −0.000494896 | − | 0.191804i | ||||
\(682\) | −6.50580 | − | 16.5765i | −0.249120 | − | 0.634747i | ||||
\(683\) | −9.46668 | + | 2.92008i | −0.362232 | + | 0.111734i | −0.470528 | − | 0.882385i | \(-0.655937\pi\) |
0.108296 | + | 0.994119i | \(0.465461\pi\) | |||||||
\(684\) | 11.6930 | + | 1.70078i | 0.447095 | + | 0.0650309i | ||||
\(685\) | 13.1758 | 0.503423 | ||||||||
\(686\) | 17.9062 | − | 4.72945i | 0.683662 | − | 0.180571i | ||||
\(687\) | −1.95603 | + | 6.39986i | −0.0746271 | + | 0.244170i | ||||
\(688\) | −0.863991 | − | 0.589059i | −0.0329393 | − | 0.0224577i | ||||
\(689\) | −8.37445 | + | 36.6908i | −0.319041 | + | 1.39781i | ||||
\(690\) | 4.74405 | − | 9.91649i | 0.180603 | − | 0.377514i | ||||
\(691\) | 3.23458 | − | 14.1716i | 0.123049 | − | 0.539113i | −0.875398 | − | 0.483403i | \(-0.839401\pi\) |
0.998447 | − | 0.0557101i | \(-0.0177423\pi\) | |||||||
\(692\) | 2.85570 | + | 12.5116i | 0.108557 | + | 0.475621i | ||||
\(693\) | 2.67717 | − | 19.9854i | 0.101697 | − | 0.759182i | ||||
\(694\) | −4.95944 | + | 21.7287i | −0.188258 | + | 0.824811i | ||||
\(695\) | 21.1172 | + | 10.1695i | 0.801022 | + | 0.385752i | ||||
\(696\) | −11.5442 | − | 0.835171i | −0.437582 | − | 0.0316571i | ||||
\(697\) | 0.101221 | − | 0.0487456i | 0.00383403 | − | 0.00184637i | ||||
\(698\) | −0.845574 | + | 2.15449i | −0.0320054 | + | 0.0815485i | ||||
\(699\) | −38.7438 | + | 31.0610i | −1.46542 | + | 1.17484i | ||||
\(700\) | 8.47597 | − | 3.43736i | 0.320362 | − | 0.129920i | ||||
\(701\) | −7.70433 | − | 3.71021i | −0.290989 | − | 0.140133i | 0.282695 | − | 0.959210i | \(-0.408772\pi\) |
−0.573683 | + | 0.819077i | \(0.694486\pi\) | |||||||
\(702\) | −20.9903 | + | 8.42615i | −0.792226 | + | 0.318025i | ||||
\(703\) | −1.12248 | + | 2.86003i | −0.0423350 | + | 0.107868i | ||||
\(704\) | 1.27021 | − | 2.20006i | 0.0478727 | − | 0.0829179i | ||||
\(705\) | −6.55472 | + | 21.4462i | −0.246865 | + | 0.807710i | ||||
\(706\) | 36.8513 | − | 5.55444i | 1.38692 | − | 0.209044i | ||||
\(707\) | −2.27294 | + | 7.67490i | −0.0854828 | + | 0.288644i | ||||
\(708\) | 1.10475 | − | 0.0856567i | 0.0415191 | − | 0.00321918i | ||||
\(709\) | 31.5397 | − | 39.5495i | 1.18450 | − | 1.48531i | 0.347867 | − | 0.937544i | \(-0.386906\pi\) |
0.836630 | − | 0.547768i | \(-0.184522\pi\) | |||||||
\(710\) | 0.762162 | + | 10.1703i | 0.0286034 | + | 0.381686i | ||||
\(711\) | −20.3653 | + | 35.6980i | −0.763760 | + | 1.33878i | ||||
\(712\) | −4.86711 | − | 12.4012i | −0.182403 | − | 0.464754i | ||||
\(713\) | −35.4154 | − | 5.33801i | −1.32632 | − | 0.199910i | ||||
\(714\) | −0.678797 | + | 1.21426i | −0.0254033 | + | 0.0454425i | ||||
\(715\) | 13.5826 | − | 2.04725i | 0.507962 | − | 0.0765629i | ||||
\(716\) | 0.604312 | + | 1.04670i | 0.0225842 | + | 0.0391170i | ||||
\(717\) | 1.18316 | − | 0.273262i | 0.0441858 | − | 0.0102051i | ||||
\(718\) | −11.9735 | + | 1.80472i | −0.446848 | + | 0.0673515i | ||||
\(719\) | 19.4334 | + | 5.99440i | 0.724742 | + | 0.223553i | 0.635110 | − | 0.772422i | \(-0.280955\pi\) |
0.0896318 | + | 0.995975i | \(0.471431\pi\) | |||||||
\(720\) | 3.72644 | − | 0.0192302i | 0.138876 | − | 0.000716668i | ||||
\(721\) | −23.4742 | − | 24.7339i | −0.874227 | − | 0.921140i | ||||
\(722\) | 2.88083 | + | 1.96412i | 0.107213 | + | 0.0730968i | ||||
\(723\) | 37.6742 | + | 29.8855i | 1.40112 | + | 1.11145i | ||||
\(724\) | −17.5098 | + | 8.43228i | −0.650747 | + | 0.313383i | ||||
\(725\) | −5.14058 | − | 22.5223i | −0.190916 | − | 0.836459i | ||||
\(726\) | −5.34106 | + | 5.78617i | −0.198225 | + | 0.214745i | ||||
\(727\) | 43.2278 | − | 13.3340i | 1.60323 | − | 0.494531i | 0.641177 | − | 0.767393i | \(-0.278446\pi\) |
0.962053 | + | 0.272862i | \(0.0879702\pi\) | |||||||
\(728\) | −1.84477 | − | 11.3680i | −0.0683719 | − | 0.421326i | ||||
\(729\) | −26.9968 | + | 0.417979i | −0.999880 | + | 0.0154807i | ||||
\(730\) | −4.28421 | − | 3.97516i | −0.158566 | − | 0.147127i | ||||
\(731\) | 0.115972 | + | 0.295493i | 0.00428939 | + | 0.0109292i | ||||
\(732\) | −15.1877 | + | 8.82093i | −0.561352 | + | 0.326031i | ||||
\(733\) | −7.57457 | − | 5.16426i | −0.279773 | − | 0.190746i | 0.415301 | − | 0.909684i | \(-0.363676\pi\) |
−0.695074 | + | 0.718938i | \(0.744629\pi\) | |||||||
\(734\) | 13.9304 | − | 24.1281i | 0.514179 | − | 0.890585i | ||||
\(735\) | 2.61816 | + | 14.8311i | 0.0965721 | + | 0.547053i | ||||
\(736\) | −2.55471 | − | 4.42489i | −0.0941679 | − | 0.163104i | ||||
\(737\) | 2.33100 | − | 31.1051i | 0.0858635 | − | 1.14577i | ||||
\(738\) | −0.809983 | + | 0.759370i | −0.0298159 | + | 0.0279528i | ||||
\(739\) | 22.0183 | + | 3.31872i | 0.809955 | + | 0.122081i | 0.540947 | − | 0.841057i | \(-0.318066\pi\) |
0.269008 | + | 0.963138i | \(0.413304\pi\) | |||||||
\(740\) | −0.215613 | + | 0.944664i | −0.00792611 | + | 0.0347265i | ||||
\(741\) | 29.6182 | + | 2.14274i | 1.08805 | + | 0.0787157i | ||||
\(742\) | −15.7468 | − | 16.5918i | −0.578083 | − | 0.609105i | ||||
\(743\) | 30.2419 | + | 28.0603i | 1.10947 | + | 1.02943i | 0.999369 | + | 0.0355133i | \(0.0113066\pi\) |
0.110097 | + | 0.993921i | \(0.464884\pi\) | |||||||
\(744\) | −3.60858 | − | 11.5925i | −0.132297 | − | 0.425000i | ||||
\(745\) | −7.62359 | − | 2.35157i | −0.279307 | − | 0.0861547i | ||||
\(746\) | 25.7073 | + | 17.5269i | 0.941211 | + | 0.641707i | ||||
\(747\) | 8.38899 | + | 3.98673i | 0.306937 | + | 0.145867i | ||||
\(748\) | −0.694810 | + | 0.334603i | −0.0254048 | + | 0.0122343i | ||||
\(749\) | −21.3060 | − | 11.9828i | −0.778505 | − | 0.437841i | ||||
\(750\) | 5.40797 | + | 17.3729i | 0.197471 | + | 0.634370i | ||||
\(751\) | −26.6150 | + | 24.6951i | −0.971195 | + | 0.901137i | −0.995130 | − | 0.0985760i | \(-0.968571\pi\) |
0.0239343 | + | 0.999714i | \(0.492381\pi\) | |||||||
\(752\) | 6.49879 | + | 8.14923i | 0.236987 | + | 0.297172i | ||||
\(753\) | 19.1331 | + | 20.5141i | 0.697247 | + | 0.747576i | ||||
\(754\) | −29.0882 | −1.05933 | ||||||||
\(755\) | 6.70144 | + | 8.40333i | 0.243890 | + | 0.305829i | ||||
\(756\) | 2.80374 | − | 13.4588i | 0.101971 | − | 0.489491i | ||||
\(757\) | 23.6819 | − | 29.6961i | 0.860733 | − | 1.07932i | −0.135341 | − | 0.990799i | \(-0.543213\pi\) |
0.996074 | − | 0.0885256i | \(-0.0282155\pi\) | |||||||
\(758\) | 3.78235 | − | 4.74292i | 0.137381 | − | 0.172271i | ||||
\(759\) | −6.68212 | − | 21.4661i | −0.242546 | − | 0.779170i | ||||
\(760\) | −4.40799 | − | 2.12277i | −0.159895 | − | 0.0770011i | ||||
\(761\) | 6.30084 | + | 0.949699i | 0.228405 | + | 0.0344266i | 0.262248 | − | 0.965001i | \(-0.415536\pi\) |
−0.0338423 | + | 0.999427i | \(0.510774\pi\) | |||||||
\(762\) | −20.1461 | + | 1.56203i | −0.729818 | + | 0.0565863i | ||||
\(763\) | −0.900429 | + | 6.46799i | −0.0325977 | + | 0.234157i | ||||
\(764\) | −4.06935 | − | 5.10280i | −0.147224 | − | 0.184613i | ||||
\(765\) | −0.937944 | − | 0.632414i | −0.0339114 | − | 0.0228650i | ||||
\(766\) | 14.1722 | + | 24.5470i | 0.512062 | + | 0.886918i | ||||
\(767\) | 2.75364 | − | 0.415044i | 0.0994281 | − | 0.0149864i | ||||
\(768\) | 0.972003 | − | 1.43360i | 0.0350741 | − | 0.0517306i | ||||
\(769\) | 21.5195 | − | 14.6717i | 0.776012 | − | 0.529076i | −0.109336 | − | 0.994005i | \(-0.534872\pi\) |
0.885348 | + | 0.464929i | \(0.153920\pi\) | |||||||
\(770\) | −3.53742 | + | 7.56250i | −0.127480 | + | 0.272534i | ||||
\(771\) | −4.35420 | − | 28.3910i | −0.156813 | − | 1.02248i | ||||
\(772\) | 4.14664 | + | 5.19973i | 0.149241 | + | 0.187142i | ||||
\(773\) | 11.4993 | + | 7.84010i | 0.413602 | + | 0.281989i | 0.752191 | − | 0.658946i | \(-0.228997\pi\) |
−0.338589 | + | 0.940934i | \(0.609950\pi\) | |||||||
\(774\) | −1.96856 | − | 2.44254i | −0.0707586 | − | 0.0877952i | ||||
\(775\) | 20.0220 | − | 13.6508i | 0.719211 | − | 0.490350i | ||||
\(776\) | 6.45449 | − | 1.99095i | 0.231703 | − | 0.0714708i | ||||
\(777\) | 3.24185 | + | 1.50622i | 0.116301 | + | 0.0540353i | ||||
\(778\) | 26.1715 | + | 8.07285i | 0.938295 | + | 0.289426i | ||||
\(779\) | 1.39292 | − | 0.429659i | 0.0499065 | − | 0.0153941i | ||||
\(780\) | 9.33721 | − | 0.723959i | 0.334326 | − | 0.0259219i | ||||
\(781\) | 15.2902 | + | 14.1872i | 0.547126 | + | 0.507658i | ||||
\(782\) | −0.115910 | + | 1.54671i | −0.00414492 | + | 0.0553101i | ||||
\(783\) | −32.4201 | − | 12.4352i | −1.15860 | − | 0.444398i | ||||
\(784\) | 6.37367 | + | 2.89420i | 0.227631 | + | 0.103364i | ||||
\(785\) | −11.0838 | − | 19.1976i | −0.395597 | − | 0.685193i | ||||
\(786\) | 4.92054 | + | 32.0837i | 0.175510 | + | 1.14439i | ||||
\(787\) | 3.21955 | − | 14.1058i | 0.114765 | − | 0.502817i | −0.884572 | − | 0.466403i | \(-0.845550\pi\) |
0.999337 | − | 0.0364134i | \(-0.0115933\pi\) | |||||||
\(788\) | −1.96441 | + | 2.46329i | −0.0699792 | + | 0.0877511i | ||||
\(789\) | −0.0468025 | − | 18.1389i | −0.00166621 | − | 0.645763i | ||||
\(790\) | 12.4744 | − | 11.5745i | 0.443818 | − | 0.411803i | ||||
\(791\) | 22.3671 | + | 12.5795i | 0.795282 | + | 0.447277i | ||||
\(792\) | 5.55994 | − | 5.21252i | 0.197564 | − | 0.185219i | ||||
\(793\) | −36.4698 | + | 24.8647i | −1.29508 | + | 0.882972i | ||||
\(794\) | 7.69652 | + | 2.37406i | 0.273139 | + | 0.0842523i | ||||
\(795\) | 14.5131 | − | 11.6352i | 0.514728 | − | 0.412659i | ||||
\(796\) | −7.24151 | + | 18.4511i | −0.256669 | + | 0.653981i | ||||
\(797\) | 2.21916 | − | 29.6127i | 0.0786068 | − | 1.04893i | −0.808841 | − | 0.588027i | \(-0.799905\pi\) |
0.887448 | − | 0.460908i | \(-0.152476\pi\) | |||||||
\(798\) | −11.0570 | + | 14.2661i | −0.391413 | + | 0.505016i | ||||
\(799\) | −0.236456 | − | 3.15529i | −0.00836523 | − | 0.111626i | ||||
\(800\) | 3.30345 | + | 1.01898i | 0.116795 | + | 0.0360263i | ||||
\(801\) | −3.19231 | − | 39.8386i | −0.112795 | − | 1.40763i | ||||
\(802\) | −13.6179 | − | 23.5868i | −0.480863 | − | 0.832880i | ||||
\(803\) | −11.9526 | −0.421798 | ||||||||
\(804\) | 3.11539 | − | 21.0374i | 0.109871 | − | 0.741933i | ||||
\(805\) | 9.61503 | + | 13.7665i | 0.338885 | + | 0.485207i | ||||
\(806\) | −11.1475 | − | 28.4033i | −0.392653 | − | 1.00046i | ||||
\(807\) | −11.4218 | − | 16.6601i | −0.402066 | − | 0.586465i | ||||
\(808\) | −2.49968 | + | 1.70425i | −0.0879385 | + | 0.0599555i | ||||
\(809\) | 0.0524462 | + | 0.699846i | 0.00184391 | + | 0.0246053i | 0.998050 | − | 0.0624218i | \(-0.0198824\pi\) |
−0.996206 | + | 0.0870270i | \(0.972263\pi\) | |||||||
\(810\) | 10.7162 | + | 3.18477i | 0.376530 | + | 0.111902i | ||||
\(811\) | −0.688561 | + | 0.863429i | −0.0241787 | + | 0.0303191i | −0.793774 | − | 0.608213i | \(-0.791887\pi\) |
0.769595 | + | 0.638532i | \(0.220458\pi\) | |||||||
\(812\) | 9.79425 | − | 14.7194i | 0.343711 | − | 0.516550i | ||||
\(813\) | 6.14039 | + | 4.87093i | 0.215353 | + | 0.170831i | ||||
\(814\) | 0.990834 | + | 1.71618i | 0.0347287 | + | 0.0601519i | ||||
\(815\) | 12.2648 | 0.429618 | ||||||||
\(816\) | −0.488947 | + | 0.193355i | −0.0171166 | + | 0.00676878i | ||||
\(817\) | 0.916488 | + | 4.01540i | 0.0320639 | + | 0.140481i | ||||
\(818\) | −18.2065 | − | 8.76778i | −0.636575 | − | 0.306558i | ||||
\(819\) | 4.58723 | − | 34.2443i | 0.160291 | − | 1.19659i | ||||
\(820\) | 0.414188 | − | 0.199463i | 0.0144641 | − | 0.00696554i | ||||
\(821\) | 23.3408 | + | 29.2684i | 0.814598 | + | 1.02147i | 0.999252 | + | 0.0386700i | \(0.0123121\pi\) |
−0.184654 | + | 0.982804i | \(0.559116\pi\) | |||||||
\(822\) | 14.3344 | − | 11.4919i | 0.499968 | − | 0.400826i | ||||
\(823\) | 2.31043 | + | 10.1226i | 0.0805364 | + | 0.352853i | 0.999100 | − | 0.0424206i | \(-0.0135069\pi\) |
−0.918563 | + | 0.395274i | \(0.870650\pi\) | |||||||
\(824\) | −0.963165 | − | 12.8525i | −0.0335534 | − | 0.447739i | ||||
\(825\) | 13.1930 | + | 7.57167i | 0.459322 | + | 0.263612i | ||||
\(826\) | −0.717150 | + | 1.53316i | −0.0249528 | + | 0.0533456i | ||||
\(827\) | 1.18527 | + | 5.19301i | 0.0412159 | + | 0.180579i | 0.991346 | − | 0.131275i | \(-0.0419072\pi\) |
−0.950130 | + | 0.311854i | \(0.899050\pi\) | |||||||
\(828\) | −3.48793 | − | 14.9262i | −0.121214 | − | 0.518720i | ||||
\(829\) | −6.54445 | − | 0.986418i | −0.227298 | − | 0.0342597i | 0.0344055 | − | 0.999408i | \(-0.489046\pi\) |
−0.261704 | + | 0.965148i | \(0.584284\pi\) | |||||||
\(830\) | −2.81916 | − | 2.61580i | −0.0978544 | − | 0.0907956i | ||||
\(831\) | 44.2647 | − | 35.4872i | 1.53553 | − | 1.23104i | ||||
\(832\) | 2.17645 | − | 3.76973i | 0.0754550 | − | 0.130692i | ||||
\(833\) | −1.10371 | − | 1.81584i | −0.0382411 | − | 0.0629152i | ||||
\(834\) | 31.8438 | − | 7.35464i | 1.10266 | − | 0.254670i | ||||
\(835\) | 3.66778 | − | 1.76631i | 0.126929 | − | 0.0611256i | ||||
\(836\) | −9.56138 | + | 2.94929i | −0.330687 | + | 0.102003i | ||||
\(837\) | −0.281938 | − | 36.4223i | −0.00974520 | − | 1.25894i | ||||
\(838\) | −17.4821 | − | 16.2210i | −0.603909 | − | 0.560345i | ||||
\(839\) | 5.94766 | − | 5.51862i | 0.205336 | − | 0.190524i | −0.570801 | − | 0.821089i | \(-0.693367\pi\) |
0.776137 | + | 0.630565i | \(0.217177\pi\) | |||||||
\(840\) | −2.77757 | + | 4.96864i | −0.0958354 | + | 0.171434i | ||||
\(841\) | −11.4763 | − | 10.6484i | −0.395734 | − | 0.367187i | ||||
\(842\) | 2.35672 | + | 31.4483i | 0.0812180 | + | 1.08378i | ||||
\(843\) | −25.9258 | − | 1.87562i | −0.892933 | − | 0.0645997i | ||||
\(844\) | 0.189345 | − | 2.52663i | 0.00651751 | − | 0.0869701i | ||||
\(845\) | 7.30564 | − | 1.10115i | 0.251322 | − | 0.0378806i | ||||
\(846\) | 11.5742 | + | 29.0489i | 0.397929 | + | 0.998721i | ||||
\(847\) | −3.67481 | − | 11.4533i | −0.126268 | − | 0.393540i | ||||
\(848\) | −0.646102 | − | 8.62163i | −0.0221872 | − | 0.296068i | ||||
\(849\) | 24.3306 | − | 35.8851i | 0.835025 | − | 1.23157i | ||||
\(850\) | −0.654313 | − | 0.820482i | −0.0224427 | − | 0.0281423i | ||||
\(851\) | 3.98564 | 0.136626 | ||||||||
\(852\) | 9.69970 | + | 10.3998i | 0.332306 | + | 0.356293i | ||||
\(853\) | −4.02288 | + | 10.2501i | −0.137741 | + | 0.350958i | −0.983055 | − | 0.183312i | \(-0.941318\pi\) |
0.845314 | + | 0.534270i | \(0.179413\pi\) | |||||||
\(854\) | −0.302505 | − | 26.8269i | −0.0103515 | − | 0.917996i | ||||
\(855\) | −10.8107 | − | 9.92757i | −0.369719 | − | 0.339516i | ||||
\(856\) | −3.37544 | − | 8.60048i | −0.115370 | − | 0.293958i | ||||
\(857\) | −2.10813 | + | 1.43730i | −0.0720123 | + | 0.0490972i | −0.598791 | − | 0.800905i | \(-0.704352\pi\) |
0.526779 | + | 0.850002i | \(0.323400\pi\) | |||||||
\(858\) | 12.9913 | − | 14.0740i | 0.443516 | − | 0.480477i | ||||
\(859\) | 34.7056 | + | 5.23102i | 1.18414 | + | 0.178480i | 0.711442 | − | 0.702745i | \(-0.248042\pi\) |
0.472697 | + | 0.881225i | \(0.343281\pi\) | |||||||
\(860\) | 0.474548 | + | 1.20913i | 0.0161820 | + | 0.0412309i | ||||
\(861\) | −0.400263 | − | 1.64807i | −0.0136409 | − | 0.0561660i | ||||
\(862\) | −7.70047 | + | 19.6205i | −0.262279 | + | 0.668276i | ||||
\(863\) | −26.7948 | + | 46.4099i | −0.912104 | + | 1.57981i | −0.101017 | + | 0.994885i | \(0.532210\pi\) |
−0.811087 | + | 0.584926i | \(0.801124\pi\) | |||||||
\(864\) | 4.03732 | − | 3.27110i | 0.137352 | − | 0.111285i | ||||
\(865\) | 5.82396 | − | 14.8392i | 0.198021 | − | 0.504548i | ||||
\(866\) | −4.37562 | − | 19.1708i | −0.148689 | − | 0.651451i | ||||
\(867\) | −28.5677 | − | 6.44289i | −0.970211 | − | 0.218812i | ||||
\(868\) | 18.1263 | + | 3.92271i | 0.615246 | + | 0.133145i | ||||
\(869\) | 2.60079 | − | 34.7051i | 0.0882257 | − | 1.17729i | ||||
\(870\) | 11.2637 | + | 8.93504i | 0.381875 | + | 0.302926i | ||||
\(871\) | 3.99409 | − | 53.2974i | 0.135335 | − | 1.80592i | ||||
\(872\) | −1.80935 | + | 1.67883i | −0.0612724 | + | 0.0568525i | ||||
\(873\) | 20.2634 | − | 0.104569i | 0.685814 | − | 0.00353913i | ||||
\(874\) | −4.47811 | + | 19.6199i | −0.151474 | + | 0.663653i | ||||
\(875\) | −27.1648 | − | 5.87874i | −0.918338 | − | 0.198738i | ||||
\(876\) | −8.12802 | − | 0.588025i | −0.274620 | − | 0.0198675i | ||||
\(877\) | −32.9851 | + | 10.1746i | −1.11383 | + | 0.343571i | −0.796436 | − | 0.604723i | \(-0.793284\pi\) |
−0.317393 | + | 0.948294i | \(0.602807\pi\) | |||||||
\(878\) | 2.21006 | − | 2.77132i | 0.0745858 | − | 0.0935277i | ||||
\(879\) | 0.0988443 | + | 38.3084i | 0.00333394 | + | 1.29211i | ||||
\(880\) | −2.84310 | + | 1.36916i | −0.0958409 | + | 0.0461545i | ||||
\(881\) | 10.7315 | 0.361553 | 0.180776 | − | 0.983524i | \(-0.442139\pi\) | ||||
0.180776 | + | 0.983524i | \(0.442139\pi\) | |||||||
\(882\) | 15.7840 | + | 13.8516i | 0.531473 | + | 0.466408i | ||||
\(883\) | 36.7055 | 1.23524 | 0.617620 | − | 0.786477i | \(-0.288097\pi\) | ||||
0.617620 | + | 0.786477i | \(0.288097\pi\) | |||||||
\(884\) | −1.19053 | + | 0.573331i | −0.0400420 | + | 0.0192832i | ||||
\(885\) | −1.19377 | − | 0.685121i | −0.0401281 | − | 0.0230301i | ||||
\(886\) | 7.57762 | − | 9.50204i | 0.254575 | − | 0.319227i | ||||
\(887\) | 6.85292 | − | 2.11385i | 0.230099 | − | 0.0709760i | −0.177562 | − | 0.984110i | \(-0.556821\pi\) |
0.407660 | + | 0.913134i | \(0.366345\pi\) | |||||||
\(888\) | 0.589359 | + | 1.21578i | 0.0197776 | + | 0.0407990i | ||||
\(889\) | 13.0779 | − | 27.9586i | 0.438618 | − | 0.937703i | ||||
\(890\) | −3.68232 | + | 16.1333i | −0.123432 | + | 0.540789i | ||||
\(891\) | 20.4960 | − | 10.1323i | 0.686642 | − | 0.339444i | ||||
\(892\) | −7.08006 | + | 6.56934i | −0.237058 | + | 0.219958i | ||||
\(893\) | 3.06797 | − | 40.9392i | 0.102666 | − | 1.36998i | ||||
\(894\) | −10.3449 | + | 4.09092i | −0.345986 | + | 0.136821i | ||||
\(895\) | 0.112193 | − | 1.49711i | 0.00375019 | − | 0.0500428i | ||||
\(896\) | 1.17475 | + | 2.37064i | 0.0392458 | + | 0.0791977i | ||||
\(897\) | −11.4496 | − | 36.7814i | −0.382290 | − | 1.22810i | ||||
\(898\) | −4.98442 | − | 21.8382i | −0.166332 | − | 0.728749i | ||||
\(899\) | 17.1133 | − | 43.6040i | 0.570761 | − | 1.45427i | ||||
\(900\) | 8.59904 | + | 5.79795i | 0.286635 | + | 0.193265i | ||||
\(901\) | −1.31228 | + | 2.27294i | −0.0437185 | + | 0.0757227i | ||||
\(902\) | 0.343489 | − | 0.875195i | 0.0114369 | − | 0.0291408i | ||||
\(903\) | 4.72809 | − | 0.779790i | 0.157341 | − | 0.0259498i | ||||
\(904\) | 3.54354 | + | 9.02880i | 0.117857 | + | 0.300293i | ||||
\(905\) | 23.8711 | + | 3.59798i | 0.793501 | + | 0.119601i | ||||
\(906\) | 14.6200 | + | 3.29726i | 0.485717 | + | 0.109544i | ||||
\(907\) | 14.2453 | − | 9.71227i | 0.473007 | − | 0.322491i | −0.303246 | − | 0.952912i | \(-0.598070\pi\) |
0.776253 | + | 0.630422i | \(0.217118\pi\) | |||||||
\(908\) | 1.05577 | + | 2.69006i | 0.0350370 | + | 0.0892727i | ||||
\(909\) | −8.65898 | + | 2.71996i | −0.287200 | + | 0.0902152i | ||||
\(910\) | −6.06125 | + | 12.9581i | −0.200929 | + | 0.429557i | ||||
\(911\) | 18.9157 | − | 48.1965i | 0.626706 | − | 1.59682i | −0.165257 | − | 0.986251i | \(-0.552845\pi\) |
0.791963 | − | 0.610569i | \(-0.209059\pi\) | |||||||
\(912\) | −6.64704 | + | 1.53520i | −0.220105 | + | 0.0508355i | ||||
\(913\) | −7.86522 | −0.260301 | ||||||||
\(914\) | −12.8643 | − | 16.1313i | −0.425512 | − | 0.533575i | ||||
\(915\) | 21.7597 | + | 1.57422i | 0.719355 | + | 0.0520420i | ||||
\(916\) | −0.288734 | − | 3.85289i | −0.00954004 | − | 0.127303i | ||||
\(917\) | −46.3556 | − | 17.5927i | −1.53080 | − | 0.580961i | ||||
\(918\) | −1.57200 | + | 0.130049i | −0.0518838 | + | 0.00429226i | ||||
\(919\) | −22.9077 | + | 3.45279i | −0.755657 | + | 0.113897i | −0.515562 | − | 0.856852i | \(-0.672417\pi\) |
−0.240095 | + | 0.970749i | \(0.577179\pi\) | |||||||
\(920\) | −0.474292 | + | 6.32898i | −0.0156369 | + | 0.208660i | ||||
\(921\) | −15.0499 | + | 22.1970i | −0.495911 | + | 0.731416i | ||||
\(922\) | −1.32515 | − | 17.6829i | −0.0436414 | − | 0.582354i | ||||
\(923\) | 26.1992 | + | 24.3093i | 0.862357 | + | 0.800151i | ||||
\(924\) | 2.74751 | + | 11.3128i | 0.0903866 | + | 0.372163i | ||||
\(925\) | −1.97681 | + | 1.83421i | −0.0649972 | + | 0.0603085i | ||||
\(926\) | 19.7430 | + | 18.3189i | 0.648797 | + | 0.601995i | ||||
\(927\) | 8.40929 | − | 37.7402i | 0.276197 | − | 1.23955i | ||||
\(928\) | 6.38559 | − | 1.96969i | 0.209617 | − | 0.0646584i | ||||
\(929\) | −46.4356 | + | 22.3622i | −1.52350 | + | 0.733681i | −0.993448 | − | 0.114282i | \(-0.963543\pi\) |
−0.530056 | + | 0.847963i | \(0.677829\pi\) | |||||||
\(930\) | −4.40807 | + | 14.4226i | −0.144546 | + | 0.472937i | ||||
\(931\) | −10.6489 | − | 25.4313i | −0.349005 | − | 0.833478i | ||||
\(932\) | 14.3349 | − | 24.8287i | 0.469555 | − | 0.813293i | ||||
\(933\) | −13.7302 | − | 5.34787i | −0.449507 | − | 0.175081i | ||||
\(934\) | 30.5686 | + | 28.3636i | 1.00024 | + | 0.928084i | ||||
\(935\) | 0.947232 | + | 0.142772i | 0.0309778 | + | 0.00466915i | ||||
\(936\) | 9.52676 | − | 8.93147i | 0.311392 | − | 0.291934i | ||||
\(937\) | 6.52328 | + | 28.5803i | 0.213106 | + | 0.933679i | 0.962442 | + | 0.271489i | \(0.0875159\pi\) |
−0.749335 | + | 0.662191i | \(0.769627\pi\) | |||||||
\(938\) | 25.6251 | + | 19.9668i | 0.836689 | + | 0.651940i | ||||
\(939\) | 1.12472 | − | 0.653233i | 0.0367039 | − | 0.0213174i | ||||
\(940\) | −0.967558 | − | 12.9112i | −0.0315583 | − | 0.421116i | ||||
\(941\) | −2.15480 | − | 9.44079i | −0.0702444 | − | 0.307761i | 0.927585 | − | 0.373612i | \(-0.121881\pi\) |
−0.997829 | + | 0.0658511i | \(0.979024\pi\) | |||||||
\(942\) | −28.8024 | − | 11.2184i | −0.938433 | − | 0.365516i | ||||
\(943\) | −1.17899 | − | 1.47841i | −0.0383933 | − | 0.0481436i | ||||
\(944\) | −0.576388 | + | 0.277574i | −0.0187598 | + | 0.00903426i | ||||
\(945\) | −12.2951 | + | 11.8512i | −0.399960 | + | 0.385519i | ||||
\(946\) | 2.39341 | + | 1.15261i | 0.0778166 | + | 0.0374745i | ||||
\(947\) | −4.08137 | − | 17.8816i | −0.132627 | − | 0.581075i | −0.996943 | − | 0.0781274i | \(-0.975106\pi\) |
0.864317 | − | 0.502948i | \(-0.167751\pi\) | |||||||
\(948\) | 3.47596 | − | 23.4723i | 0.112894 | − | 0.762344i | ||||
\(949\) | −20.4803 | −0.664820 | ||||||||
\(950\) | −6.80810 | − | 11.7920i | −0.220884 | − | 0.382582i | ||||
\(951\) | 0.381351 | − | 2.57517i | 0.0123662 | − | 0.0835055i | ||||
\(952\) | 0.110742 | − | 0.795487i | 0.00358917 | − | 0.0257819i | ||||
\(953\) | 32.0181 | − | 40.1494i | 1.03717 | − | 1.30057i | 0.0845434 | − | 0.996420i | \(-0.473057\pi\) |
0.952625 | − | 0.304148i | \(-0.0983717\pi\) | |||||||
\(954\) | 5.64105 | − | 25.3166i | 0.182636 | − | 0.819654i | ||||
\(955\) | 0.605856 | + | 8.08458i | 0.0196050 | + | 0.261611i | ||||
\(956\) | −0.579258 | + | 0.394931i | −0.0187345 | + | 0.0127730i | ||||
\(957\) | 29.3157 | − | 2.27299i | 0.947643 | − | 0.0734754i | ||||
\(958\) | 2.99122 | + | 7.62150i | 0.0966419 | + | 0.246240i | ||||
\(959\) | 4.49535 | + | 27.7016i | 0.145163 | + | 0.894531i | ||||
\(960\) | −2.00073 | + | 0.791192i | −0.0645732 | + | 0.0255356i | ||||
\(961\) | 18.1356 | 0.585019 | ||||||||
\(962\) | 1.69776 | + | 2.94061i | 0.0547380 | + | 0.0948090i | ||||
\(963\) | −2.21393 | − | 27.6289i | −0.0713430 | − | 0.890328i | ||||
\(964\) | −26.5304 | − | 8.18353i | −0.854485 | − | 0.263574i | ||||
\(965\) | −0.617364 | − | 8.23815i | −0.0198736 | − | 0.265195i | ||||
\(966\) | 22.4676 | + | 6.59082i | 0.722882 | + | 0.212056i | ||||
\(967\) | 2.59623 | − | 34.6443i | 0.0834892 | − | 1.11409i | −0.785370 | − | 0.619026i | \(-0.787527\pi\) |
0.868859 | − | 0.495059i | \(-0.164854\pi\) | |||||||
\(968\) | 1.66095 | − | 4.23204i | 0.0533850 | − | 0.136023i | ||||
\(969\) | 1.92972 | + | 0.751619i | 0.0619915 | + | 0.0241455i | ||||
\(970\) | −8.01752 | − | 2.47308i | −0.257427 | − | 0.0794057i | ||||
\(971\) | 38.2453 | − | 26.0752i | 1.22735 | − | 0.836792i | 0.236482 | − | 0.971636i | \(-0.424006\pi\) |
0.990867 | + | 0.134844i | \(0.0430532\pi\) | |||||||
\(972\) | 14.4362 | − | 5.88183i | 0.463042 | − | 0.188660i | ||||
\(973\) | −14.1761 | + | 47.8677i | −0.454466 | + | 1.53457i | ||||
\(974\) | 17.6215 | − | 16.3504i | 0.564631 | − | 0.523901i | ||||
\(975\) | 22.6058 | + | 12.9738i | 0.723965 | + | 0.415494i | ||||
\(976\) | 6.32234 | − | 7.92796i | 0.202373 | − | 0.253768i | ||||
\(977\) | −0.740548 | + | 3.24455i | −0.0236922 | + | 0.103803i | −0.985392 | − | 0.170304i | \(-0.945525\pi\) |
0.961699 | + | 0.274107i | \(0.0883821\pi\) | |||||||
\(978\) | 13.3432 | − | 10.6973i | 0.426669 | − | 0.342062i | ||||
\(979\) | 16.9218 | + | 29.3094i | 0.540823 | + | 0.936733i | ||||
\(980\) | −4.51626 | − | 7.43026i | −0.144267 | − | 0.237351i | ||||
\(981\) | −6.65477 | + | 3.24718i | −0.212471 | + | 0.103675i | ||||
\(982\) | −3.10021 | + | 41.3694i | −0.0989316 | + | 1.32015i | ||||
\(983\) | 35.8049 | + | 33.2221i | 1.14200 | + | 1.05962i | 0.997539 | + | 0.0701093i | \(0.0223348\pi\) |
0.144459 | + | 0.989511i | \(0.453856\pi\) | |||||||
\(984\) | 0.276636 | − | 0.578253i | 0.00881885 | − | 0.0184340i | ||||
\(985\) | 3.73977 | − | 1.15357i | 0.119159 | − | 0.0367557i | ||||
\(986\) | −1.93844 | − | 0.597931i | −0.0617326 | − | 0.0190420i | ||||
\(987\) | −47.3260 | − | 6.46395i | −1.50640 | − | 0.205750i | ||||
\(988\) | −16.3831 | + | 5.05351i | −0.521216 | + | 0.160774i | ||||
\(989\) | 4.41449 | − | 3.00975i | 0.140373 | − | 0.0957045i | ||||
\(990\) | −9.35367 | + | 1.45924i | −0.297279 | + | 0.0463778i | ||||
\(991\) | −42.3433 | − | 28.8692i | −1.34508 | − | 0.917061i | −0.345310 | − | 0.938489i | \(-0.612226\pi\) |
−0.999770 | + | 0.0214281i | \(0.993179\pi\) | |||||||
\(992\) | 4.37046 | + | 5.48039i | 0.138762 | + | 0.174002i | ||||
\(993\) | −5.69539 | − | 2.21834i | −0.180738 | − | 0.0703967i | ||||
\(994\) | −21.1227 | + | 5.07235i | −0.669970 | + | 0.160885i | ||||
\(995\) | 20.3430 | − | 13.8696i | 0.644916 | − | 0.439696i | ||||
\(996\) | −5.34852 | − | 0.386941i | −0.169474 | − | 0.0122607i | ||||
\(997\) | 9.97226 | − | 1.50308i | 0.315825 | − | 0.0476029i | 0.0107829 | − | 0.999942i | \(-0.496568\pi\) |
0.305042 | + | 0.952339i | \(0.401330\pi\) | |||||||
\(998\) | −8.50670 | − | 14.7340i | −0.269275 | − | 0.466398i | ||||
\(999\) | 0.635119 | + | 4.00323i | 0.0200943 | + | 0.126657i |
(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 | 882.2.bb.b.121.5 | yes | 336 | |
9.7 | even | 3 | 882.2.y.a.709.2 | yes | 336 | ||
49.32 | even | 21 | 882.2.y.a.571.2 | ✓ | 336 | ||
441.277 | even | 21 | inner | 882.2.bb.b.277.5 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.a.571.2 | ✓ | 336 | 49.32 | even | 21 | ||
882.2.y.a.709.2 | yes | 336 | 9.7 | even | 3 | ||
882.2.bb.b.121.5 | yes | 336 | 1.1 | even | 1 | trivial | |
882.2.bb.b.277.5 | yes | 336 | 441.277 | even | 21 | inner |