Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [847,2,Mod(23,847)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(847, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([22, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("847.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 847 = 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 847.u (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.76332905120\) |
Analytic rank: | \(0\) |
Dimension: | \(1720\) |
Relative dimension: | \(86\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 23.14 | ||
Character | \(\chi\) | \(=\) | 847.23 |
Dual form | 847.2.u.a.221.14 |
$q$-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 \(\left(\mathbb{Z}/847\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(365\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{7}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24481 | − | 1.74809i | −0.880213 | − | 1.23609i | −0.970726 | − | 0.240190i | \(-0.922790\pi\) |
0.0905132 | − | 0.995895i | \(-0.471149\pi\) | |||||||
\(3\) | −0.628335 | − | 1.08831i | −0.362769 | − | 0.628335i | 0.625646 | − | 0.780107i | \(-0.284835\pi\) |
−0.988416 | + | 0.151772i | \(0.951502\pi\) | |||||||
\(4\) | −0.852131 | + | 2.46207i | −0.426065 | + | 1.23104i | ||||
\(5\) | −0.293339 | + | 0.279699i | −0.131185 | + | 0.125085i | −0.752832 | − | 0.658213i | \(-0.771313\pi\) |
0.621646 | + | 0.783298i | \(0.286464\pi\) | |||||||
\(6\) | −1.12030 | + | 2.45312i | −0.457362 | + | 1.00148i | ||||
\(7\) | −2.19146 | − | 1.48239i | −0.828296 | − | 0.560291i | ||||
\(8\) | 1.24649 | − | 0.366003i | 0.440702 | − | 0.129402i | ||||
\(9\) | 0.710390 | − | 1.23043i | 0.236797 | − | 0.410144i | ||||
\(10\) | 0.854089 | + | 0.164612i | 0.270087 | + | 0.0520550i | ||||
\(11\) | 3.09374 | + | 1.19532i | 0.932797 | + | 0.360402i | ||||
\(12\) | 3.21491 | − | 0.619624i | 0.928066 | − | 0.178870i | ||||
\(13\) | 3.59831 | + | 4.15268i | 0.997993 | + | 1.15174i | 0.988413 | + | 0.151791i | \(0.0485040\pi\) |
0.00957997 | + | 0.999954i | \(0.496951\pi\) | |||||||
\(14\) | 0.136603 | + | 5.67617i | 0.0365087 | + | 1.51702i | ||||
\(15\) | 0.488714 | + | 0.143499i | 0.126185 | + | 0.0370513i | ||||
\(16\) | 1.90446 | + | 1.49768i | 0.476114 | + | 0.374420i | ||||
\(17\) | −0.352001 | + | 7.38942i | −0.0853729 | + | 1.79220i | 0.398611 | + | 0.917120i | \(0.369493\pi\) |
−0.483983 | + | 0.875077i | \(0.660810\pi\) | |||||||
\(18\) | −3.03521 | + | 0.289827i | −0.715405 | + | 0.0683129i | ||||
\(19\) | −0.146838 | − | 3.08250i | −0.0336868 | − | 0.707174i | −0.951034 | − | 0.309086i | \(-0.899977\pi\) |
0.917347 | − | 0.398088i | \(-0.130326\pi\) | |||||||
\(20\) | −0.438674 | − | 0.960562i | −0.0980905 | − | 0.214788i | ||||
\(21\) | −0.236324 | + | 3.31643i | −0.0515701 | + | 0.723704i | ||||
\(22\) | −1.76159 | − | 6.89607i | −0.375572 | − | 1.47025i | ||||
\(23\) | 3.53620 | + | 2.78090i | 0.737349 | + | 0.579858i | 0.914625 | − | 0.404303i | \(-0.132486\pi\) |
−0.177276 | + | 0.984161i | \(0.556728\pi\) | |||||||
\(24\) | −1.18154 | − | 1.12660i | −0.241181 | − | 0.229965i | ||||
\(25\) | −0.230093 | + | 4.83024i | −0.0460186 | + | 0.966049i | ||||
\(26\) | 2.78003 | − | 11.4595i | 0.545210 | − | 2.24738i | ||||
\(27\) | −5.55546 | −1.06915 | ||||||||
\(28\) | 5.51717 | − | 4.13235i | 1.04265 | − | 0.780941i | ||||
\(29\) | −0.856029 | + | 0.550136i | −0.158961 | + | 0.102158i | −0.617703 | − | 0.786412i | \(-0.711937\pi\) |
0.458742 | + | 0.888569i | \(0.348300\pi\) | |||||||
\(30\) | −0.357505 | − | 1.03294i | −0.0652713 | − | 0.188589i | ||||
\(31\) | −7.04246 | − | 1.35732i | −1.26486 | − | 0.243782i | −0.487661 | − | 0.873033i | \(-0.662150\pi\) |
−0.777203 | + | 0.629251i | \(0.783362\pi\) | |||||||
\(32\) | 0.371025 | − | 7.78877i | 0.0655886 | − | 1.37687i | ||||
\(33\) | −0.643029 | − | 4.11800i | −0.111937 | − | 0.716852i | ||||
\(34\) | 13.3555 | − | 8.58308i | 2.29046 | − | 1.47199i | ||||
\(35\) | 1.05747 | − | 0.178106i | 0.178744 | − | 0.0301054i | ||||
\(36\) | 2.42407 | + | 2.79752i | 0.404011 | + | 0.466253i | ||||
\(37\) | 2.80748 | + | 8.11167i | 0.461546 | + | 1.33355i | 0.900428 | + | 0.435006i | \(0.143254\pi\) |
−0.438881 | + | 0.898545i | \(0.644625\pi\) | |||||||
\(38\) | −5.20570 | + | 4.09381i | −0.844476 | + | 0.664103i | ||||
\(39\) | 2.25844 | − | 6.52534i | 0.361640 | − | 1.04489i | ||||
\(40\) | −0.263275 | + | 0.456006i | −0.0416274 | + | 0.0721008i | ||||
\(41\) | 1.61591 | − | 3.53834i | 0.252362 | − | 0.552596i | −0.740473 | − | 0.672086i | \(-0.765399\pi\) |
0.992835 | + | 0.119490i | \(0.0381258\pi\) | |||||||
\(42\) | 6.09159 | − | 3.71520i | 0.939952 | − | 0.573268i | ||||
\(43\) | 5.34677 | − | 1.56995i | 0.815375 | − | 0.239416i | 0.152652 | − | 0.988280i | \(-0.451219\pi\) |
0.662724 | + | 0.748864i | \(0.269400\pi\) | |||||||
\(44\) | −5.57923 | + | 6.59843i | −0.841100 | + | 0.994751i | ||||
\(45\) | 0.135765 | + | 0.559629i | 0.0202386 | + | 0.0834246i | ||||
\(46\) | 0.459366 | − | 9.64329i | 0.0677299 | − | 1.42183i | ||||
\(47\) | 5.44065 | + | 0.519519i | 0.793601 | + | 0.0757797i | 0.483978 | − | 0.875080i | \(-0.339191\pi\) |
0.309622 | + | 0.950860i | \(0.399797\pi\) | |||||||
\(48\) | 0.433302 | − | 3.01368i | 0.0625417 | − | 0.434987i | ||||
\(49\) | 2.60504 | + | 6.49721i | 0.372148 | + | 0.928173i | ||||
\(50\) | 8.73012 | − | 5.61051i | 1.23463 | − | 0.793445i | ||||
\(51\) | 8.26314 | − | 4.25994i | 1.15707 | − | 0.596512i | ||||
\(52\) | −13.2904 | + | 5.32068i | −1.84305 | + | 0.737845i | ||||
\(53\) | 9.02675 | − | 7.09872i | 1.23992 | − | 0.975084i | 0.239929 | − | 0.970790i | \(-0.422876\pi\) |
0.999991 | − | 0.00429317i | \(-0.00136656\pi\) | |||||||
\(54\) | 6.91549 | + | 9.71144i | 0.941079 | + | 1.32156i | ||||
\(55\) | −1.24184 | + | 0.514680i | −0.167450 | + | 0.0693994i | ||||
\(56\) | −3.27421 | − | 1.04571i | −0.437534 | − | 0.139738i | ||||
\(57\) | −3.26245 | + | 2.09665i | −0.432122 | + | 0.277708i | ||||
\(58\) | 2.02728 | + | 0.811600i | 0.266195 | + | 0.106568i | ||||
\(59\) | 8.32784 | − | 11.6948i | 1.08419 | − | 1.52253i | 0.252258 | − | 0.967660i | \(-0.418827\pi\) |
0.831934 | − | 0.554874i | \(-0.187234\pi\) | |||||||
\(60\) | −0.769753 | + | 1.08097i | −0.0993747 | + | 0.139552i | ||||
\(61\) | −11.2529 | − | 1.07452i | −1.44079 | − | 0.137578i | −0.654791 | − | 0.755810i | \(-0.727243\pi\) |
−0.785996 | + | 0.618232i | \(0.787849\pi\) | |||||||
\(62\) | 6.39380 | + | 14.0005i | 0.812013 | + | 1.77806i | ||||
\(63\) | −3.38078 | + | 1.64337i | −0.425938 | + | 0.207046i | ||||
\(64\) | −10.0009 | + | 6.42721i | −1.25012 | + | 0.803401i | ||||
\(65\) | −2.21702 | − | 0.211700i | −0.274988 | − | 0.0262582i | ||||
\(66\) | −6.39818 | + | 6.25019i | −0.787562 | + | 0.769346i | ||||
\(67\) | −4.81608 | + | 0.459880i | −0.588378 | + | 0.0561833i | −0.384999 | − | 0.922917i | \(-0.625798\pi\) |
−0.203379 | + | 0.979100i | \(0.565192\pi\) | |||||||
\(68\) | −17.8933 | − | 7.16341i | −2.16988 | − | 0.868691i | ||||
\(69\) | 0.804557 | − | 5.59582i | 0.0968573 | − | 0.673657i | ||||
\(70\) | −1.62769 | − | 1.62684i | −0.194546 | − | 0.194444i | ||||
\(71\) | −0.914053 | + | 0.587426i | −0.108478 | + | 0.0697146i | −0.593755 | − | 0.804646i | \(-0.702355\pi\) |
0.485277 | + | 0.874361i | \(0.338719\pi\) | |||||||
\(72\) | 0.435154 | − | 1.79373i | 0.0512834 | − | 0.211393i | ||||
\(73\) | −2.24988 | + | 0.900715i | −0.263328 | + | 0.105421i | −0.499570 | − | 0.866274i | \(-0.666509\pi\) |
0.236242 | + | 0.971694i | \(0.424084\pi\) | |||||||
\(74\) | 10.6852 | − | 15.0052i | 1.24212 | − | 1.74432i | ||||
\(75\) | 5.40137 | − | 2.78460i | 0.623696 | − | 0.321538i | ||||
\(76\) | 7.71446 | + | 2.26517i | 0.884909 | + | 0.259833i | ||||
\(77\) | −5.00789 | − | 7.20563i | −0.570702 | − | 0.821157i | ||||
\(78\) | −14.2182 | + | 4.17484i | −1.60990 | + | 0.472708i | ||||
\(79\) | −4.58634 | + | 4.37307i | −0.516004 | + | 0.492008i | −0.902743 | − | 0.430181i | \(-0.858450\pi\) |
0.386739 | + | 0.922189i | \(0.373601\pi\) | |||||||
\(80\) | −0.977551 | + | 0.0933448i | −0.109294 | + | 0.0104363i | ||||
\(81\) | 1.35952 | + | 2.35476i | 0.151058 | + | 0.261640i | ||||
\(82\) | −8.19683 | + | 1.57981i | −0.905189 | + | 0.174461i | ||||
\(83\) | 0.368618 | + | 2.56380i | 0.0404611 | + | 0.281413i | 1.00000 | 0.000163017i | \(-5.18899e-5\pi\) | |
−0.959539 | + | 0.281576i | \(0.909143\pi\) | |||||||
\(84\) | −7.96390 | − | 3.40788i | −0.868932 | − | 0.371830i | ||||
\(85\) | −1.96355 | − | 2.26606i | −0.212977 | − | 0.245789i | ||||
\(86\) | −9.40013 | − | 7.39234i | −1.01364 | − | 0.797137i | ||||
\(87\) | 1.13659 | + | 0.585953i | 0.121855 | + | 0.0628208i | ||||
\(88\) | 4.29381 | + | 0.357637i | 0.457722 | + | 0.0381243i | ||||
\(89\) | 6.85556 | − | 3.53429i | 0.726688 | − | 0.374634i | −0.0548471 | − | 0.998495i | \(-0.517467\pi\) |
0.781535 | + | 0.623861i | \(0.214437\pi\) | |||||||
\(90\) | 0.809281 | − | 0.933960i | 0.0853057 | − | 0.0984480i | ||||
\(91\) | −1.72969 | − | 14.4345i | −0.181321 | − | 1.51315i | ||||
\(92\) | −9.86008 | + | 6.33669i | −1.02798 | + | 0.660646i | ||||
\(93\) | 2.94784 | + | 8.51722i | 0.305677 | + | 0.883195i | ||||
\(94\) | −5.86440 | − | 10.1574i | −0.604867 | − | 1.04766i | ||||
\(95\) | 0.905244 | + | 0.863148i | 0.0928761 | + | 0.0885572i | ||||
\(96\) | −8.70971 | + | 4.49017i | −0.888931 | + | 0.458276i | ||||
\(97\) | 0.991779 | − | 0.291212i | 0.100700 | − | 0.0295681i | −0.230994 | − | 0.972955i | \(-0.574198\pi\) |
0.331694 | + | 0.943387i | \(0.392380\pi\) | |||||||
\(98\) | 8.11494 | − | 12.6416i | 0.819732 | − | 1.27700i | ||||
\(99\) | 3.66852 | − | 2.95749i | 0.368700 | − | 0.297239i | ||||
\(100\) | −11.6963 | − | 4.68250i | −1.16963 | − | 0.468250i | ||||
\(101\) | −4.64367 | + | 6.52112i | −0.462062 | + | 0.648876i | −0.978209 | − | 0.207625i | \(-0.933427\pi\) |
0.516146 | + | 0.856501i | \(0.327366\pi\) | |||||||
\(102\) | −17.7328 | − | 9.14189i | −1.75581 | − | 0.905182i | ||||
\(103\) | 10.7759 | + | 15.1327i | 1.06178 | + | 1.49107i | 0.859091 | + | 0.511822i | \(0.171029\pi\) |
0.202691 | + | 0.979243i | \(0.435031\pi\) | |||||||
\(104\) | 6.00517 | + | 3.85929i | 0.588855 | + | 0.378434i | ||||
\(105\) | −0.858277 | − | 1.03894i | −0.0837592 | − | 0.101390i | ||||
\(106\) | −23.6458 | − | 6.94302i | −2.29668 | − | 0.674366i | ||||
\(107\) | −8.67017 | + | 8.26699i | −0.838177 | + | 0.799200i | −0.981697 | − | 0.190447i | \(-0.939006\pi\) |
0.143520 | + | 0.989647i | \(0.454158\pi\) | |||||||
\(108\) | 4.73398 | − | 13.6779i | 0.455528 | − | 1.31616i | ||||
\(109\) | 1.57919 | − | 4.56277i | 0.151259 | − | 0.437034i | −0.843760 | − | 0.536721i | \(-0.819663\pi\) |
0.995019 | + | 0.0996866i | \(0.0317840\pi\) | |||||||
\(110\) | 2.44556 | + | 1.53018i | 0.233175 | + | 0.145897i | ||||
\(111\) | 7.06396 | − | 8.15225i | 0.670482 | − | 0.773777i | ||||
\(112\) | −1.95340 | − | 6.10526i | −0.184579 | − | 0.576893i | ||||
\(113\) | 12.2911 | − | 3.60900i | 1.15625 | − | 0.339506i | 0.353277 | − | 0.935519i | \(-0.385067\pi\) |
0.802975 | + | 0.596012i | \(0.203249\pi\) | |||||||
\(114\) | 7.72625 | + | 3.09312i | 0.723629 | + | 0.289697i | ||||
\(115\) | −1.81512 | + | 0.173323i | −0.169261 | + | 0.0161625i | ||||
\(116\) | −0.625026 | − | 2.57639i | −0.0580322 | − | 0.239212i | ||||
\(117\) | 7.66579 | − | 1.47746i | 0.708703 | − | 0.136591i | ||||
\(118\) | −30.8101 | −2.83630 | ||||||||
\(119\) | 11.7254 | − | 15.6718i | 1.07487 | − | 1.43664i | ||||
\(120\) | 0.661699 | 0.0604046 | ||||||||
\(121\) | 8.14243 | + | 7.39600i | 0.740221 | + | 0.672364i | ||||
\(122\) | 12.1293 | + | 21.0086i | 1.09814 | + | 1.90203i | ||||
\(123\) | −4.86614 | + | 0.464660i | −0.438765 | + | 0.0418970i | ||||
\(124\) | 9.34293 | − | 16.1824i | 0.839020 | − | 1.45322i | ||||
\(125\) | −2.61064 | − | 3.01284i | −0.233502 | − | 0.269476i | ||||
\(126\) | 7.08118 | + | 3.86421i | 0.630842 | + | 0.344252i | ||||
\(127\) | −1.32435 | + | 2.89993i | −0.117517 | + | 0.257327i | −0.959245 | − | 0.282575i | \(-0.908811\pi\) |
0.841728 | + | 0.539902i | \(0.181539\pi\) | |||||||
\(128\) | 9.20649 | + | 3.68572i | 0.813746 | + | 0.325775i | ||||
\(129\) | −5.06816 | − | 4.83248i | −0.446227 | − | 0.425476i | ||||
\(130\) | 2.38970 | + | 4.13908i | 0.209591 | + | 0.363022i | ||||
\(131\) | 4.74609 | + | 13.7129i | 0.414668 | + | 1.19810i | 0.938198 | + | 0.346098i | \(0.112493\pi\) |
−0.523530 | + | 0.852007i | \(0.675385\pi\) | |||||||
\(132\) | 10.6868 | + | 1.92589i | 0.930162 | + | 0.167627i | ||||
\(133\) | −4.24768 | + | 6.97286i | −0.368321 | + | 0.604624i | ||||
\(134\) | 6.79901 | + | 7.84648i | 0.587345 | + | 0.677833i | ||||
\(135\) | 1.62964 | − | 1.55385i | 0.140257 | − | 0.133735i | ||||
\(136\) | 2.26579 | + | 9.33970i | 0.194290 | + | 0.800872i | ||||
\(137\) | −7.43873 | + | 2.97802i | −0.635534 | + | 0.254429i | −0.666979 | − | 0.745076i | \(-0.732413\pi\) |
0.0314458 | + | 0.999505i | \(0.489989\pi\) | |||||||
\(138\) | −10.7835 | + | 5.55928i | −0.917953 | + | 0.473238i | ||||
\(139\) | −6.01747 | + | 13.1764i | −0.510395 | + | 1.11761i | 0.462554 | + | 0.886591i | \(0.346933\pi\) |
−0.972949 | + | 0.231018i | \(0.925794\pi\) | |||||||
\(140\) | −0.462590 | + | 2.75532i | −0.0390960 | + | 0.232867i | ||||
\(141\) | −2.85315 | − | 6.24754i | −0.240279 | − | 0.526138i | ||||
\(142\) | 2.16469 | + | 0.866613i | 0.181657 | + | 0.0727245i | ||||
\(143\) | 6.16847 | + | 17.1484i | 0.515833 | + | 1.43402i | ||||
\(144\) | 3.19570 | − | 1.27937i | 0.266308 | − | 0.106614i | ||||
\(145\) | 0.0972347 | − | 0.400807i | 0.00807490 | − | 0.0332852i | ||||
\(146\) | 4.37520 | + | 2.81177i | 0.362094 | + | 0.232704i | ||||
\(147\) | 5.43414 | − | 6.91751i | 0.448200 | − | 0.570546i | ||||
\(148\) | −22.3639 | −1.83830 | ||||||||
\(149\) | 4.31515 | + | 12.4678i | 0.353511 | + | 1.02140i | 0.971872 | + | 0.235509i | \(0.0756757\pi\) |
−0.618361 | + | 0.785894i | \(0.712203\pi\) | |||||||
\(150\) | −11.5914 | − | 5.97578i | −0.946433 | − | 0.487920i | ||||
\(151\) | 1.29838 | + | 0.250241i | 0.105660 | + | 0.0203643i | 0.241807 | − | 0.970324i | \(-0.422260\pi\) |
−0.136147 | + | 0.990689i | \(0.543472\pi\) | |||||||
\(152\) | −1.31124 | − | 3.78857i | −0.106355 | − | 0.307294i | ||||
\(153\) | 8.84212 | + | 5.68249i | 0.714843 | + | 0.459402i | ||||
\(154\) | −6.36221 | + | 17.7239i | −0.512682 | + | 1.42823i | ||||
\(155\) | 2.44547 | − | 1.57161i | 0.196425 | − | 0.126235i | ||||
\(156\) | 14.1414 | + | 11.1209i | 1.13222 | + | 0.890384i | ||||
\(157\) | 0.434827 | − | 1.25635i | 0.0347030 | − | 0.100268i | −0.926319 | − | 0.376741i | \(-0.877045\pi\) |
0.961022 | + | 0.276474i | \(0.0891658\pi\) | |||||||
\(158\) | 13.3536 | + | 2.57370i | 1.06236 | + | 0.204753i | ||||
\(159\) | −13.3974 | − | 5.36352i | −1.06248 | − | 0.425354i | ||||
\(160\) | 2.06967 | + | 2.38853i | 0.163622 | + | 0.188830i | ||||
\(161\) | −3.62708 | − | 11.3363i | −0.285854 | − | 0.893424i | ||||
\(162\) | 2.42398 | − | 5.30778i | 0.190446 | − | 0.417019i | ||||
\(163\) | 5.82119 | − | 5.55050i | 0.455951 | − | 0.434748i | −0.426973 | − | 0.904264i | \(-0.640420\pi\) |
0.882924 | + | 0.469516i | \(0.155572\pi\) | |||||||
\(164\) | 7.33469 | + | 6.99361i | 0.572743 | + | 0.546109i | ||||
\(165\) | 1.34042 | + | 1.02812i | 0.104352 | + | 0.0800388i | ||||
\(166\) | 4.02288 | − | 3.83581i | 0.312236 | − | 0.297717i | ||||
\(167\) | 1.00337 | + | 0.644828i | 0.0776433 | + | 0.0498983i | 0.578886 | − | 0.815408i | \(-0.303487\pi\) |
−0.501243 | + | 0.865306i | \(0.667124\pi\) | |||||||
\(168\) | 0.919248 | + | 4.22040i | 0.0709215 | + | 0.325611i | ||||
\(169\) | −2.44676 | + | 17.0176i | −0.188212 | + | 1.30904i | ||||
\(170\) | −1.51703 | + | 6.25328i | −0.116351 | + | 0.479605i | ||||
\(171\) | −3.89712 | − | 2.00910i | −0.298020 | − | 0.153640i | ||||
\(172\) | −0.690813 | + | 14.5019i | −0.0526740 | + | 1.10576i | ||||
\(173\) | −6.26831 | − | 4.92945i | −0.476570 | − | 0.374779i | 0.350787 | − | 0.936455i | \(-0.385914\pi\) |
−0.827357 | + | 0.561676i | \(0.810157\pi\) | |||||||
\(174\) | −0.390539 | − | 2.71626i | −0.0296067 | − | 0.205919i | ||||
\(175\) | 7.66455 | − | 10.2442i | 0.579385 | − | 0.774390i | ||||
\(176\) | 4.10168 | + | 6.90986i | 0.309176 | + | 0.520850i | ||||
\(177\) | −17.9602 | − | 1.71499i | −1.34997 | − | 0.128907i | ||||
\(178\) | −14.7121 | − | 7.58462i | −1.10272 | − | 0.568491i | ||||
\(179\) | 16.3782 | − | 12.8800i | 1.22417 | − | 0.962695i | 0.224237 | − | 0.974535i | \(-0.428011\pi\) |
0.999930 | + | 0.0118393i | \(0.00376864\pi\) | |||||||
\(180\) | −1.49354 | − | 0.142615i | −0.111322 | − | 0.0106299i | ||||
\(181\) | −1.16336 | − | 2.54741i | −0.0864720 | − | 0.189347i | 0.861456 | − | 0.507832i | \(-0.169553\pi\) |
−0.947928 | + | 0.318485i | \(0.896826\pi\) | |||||||
\(182\) | −23.0797 | + | 20.9919i | −1.71078 | + | 1.55602i | ||||
\(183\) | 5.90118 | + | 12.9218i | 0.436228 | + | 0.955206i | ||||
\(184\) | 5.42567 | + | 2.17211i | 0.399986 | + | 0.160130i | ||||
\(185\) | −3.09237 | − | 1.59423i | −0.227355 | − | 0.117210i | ||||
\(186\) | 11.2194 | − | 15.7554i | 0.822644 | − | 1.15524i | ||||
\(187\) | −9.92171 | + | 22.4402i | −0.725547 | + | 1.64099i | ||||
\(188\) | −5.91524 | + | 12.9526i | −0.431413 | + | 0.944663i | ||||
\(189\) | 12.1746 | + | 8.23537i | 0.885572 | + | 0.599035i | ||||
\(190\) | 0.382005 | − | 2.65690i | 0.0277135 | − | 0.192752i | ||||
\(191\) | 21.7556 | − | 11.2158i | 1.57418 | − | 0.811545i | 0.574204 | − | 0.818712i | \(-0.305312\pi\) |
0.999974 | + | 0.00716725i | \(0.00228143\pi\) | |||||||
\(192\) | 13.2787 | + | 6.84566i | 0.958309 | + | 0.494043i | ||||
\(193\) | 14.3289 | + | 13.6626i | 1.03142 | + | 0.983455i | 0.999871 | − | 0.0160470i | \(-0.00510815\pi\) |
0.0315469 | + | 0.999502i | \(0.489957\pi\) | |||||||
\(194\) | −1.74364 | − | 1.37121i | −0.125186 | − | 0.0984474i | ||||
\(195\) | 1.16264 | + | 2.54582i | 0.0832583 | + | 0.182310i | ||||
\(196\) | −18.2164 | + | 0.877305i | −1.30117 | + | 0.0626646i | ||||
\(197\) | −13.6783 | − | 4.01630i | −0.974536 | − | 0.286150i | −0.244569 | − | 0.969632i | \(-0.578646\pi\) |
−0.729967 | + | 0.683482i | \(0.760465\pi\) | |||||||
\(198\) | −9.73657 | − | 2.73139i | −0.691948 | − | 0.194111i | ||||
\(199\) | −5.64960 | − | 5.38688i | −0.400490 | − | 0.381866i | 0.462894 | − | 0.886413i | \(-0.346811\pi\) |
−0.863384 | + | 0.504547i | \(0.831659\pi\) | |||||||
\(200\) | 1.48108 | + | 6.10508i | 0.104728 | + | 0.431694i | ||||
\(201\) | 3.52660 | + | 4.95242i | 0.248748 | + | 0.349317i | ||||
\(202\) | 17.1800 | 1.20878 | ||||||||
\(203\) | 2.69147 | + | 0.0633648i | 0.188904 | + | 0.00444734i | ||||
\(204\) | 3.44701 | + | 23.9745i | 0.241339 | + | 1.67855i | ||||
\(205\) | 0.515660 | + | 1.48990i | 0.0360153 | + | 0.104059i | ||||
\(206\) | 13.0393 | − | 37.6745i | 0.908490 | − | 2.62491i | ||||
\(207\) | 5.93380 | − | 2.37553i | 0.412427 | − | 0.165111i | ||||
\(208\) | 0.633448 | + | 13.2977i | 0.0439217 | + | 0.922030i | ||||
\(209\) | 3.23029 | − | 9.71196i | 0.223444 | − | 0.671791i | ||||
\(210\) | −0.747766 | + | 2.79362i | −0.0516008 | + | 0.192778i | ||||
\(211\) | 12.0571 | − | 13.9146i | 0.830042 | − | 0.957920i | −0.169577 | − | 0.985517i | \(-0.554240\pi\) |
0.999619 | + | 0.0275973i | \(0.00878559\pi\) | |||||||
\(212\) | 9.78557 | + | 28.2735i | 0.672075 | + | 1.94183i | ||||
\(213\) | 1.21363 | + | 0.625671i | 0.0831567 | + | 0.0428702i | ||||
\(214\) | 25.2441 | + | 4.86541i | 1.72565 | + | 0.332593i | ||||
\(215\) | −1.12931 | + | 1.95601i | −0.0770180 | + | 0.133399i | ||||
\(216\) | −6.92485 | + | 2.03332i | −0.471176 | + | 0.138350i | ||||
\(217\) | 13.4212 | + | 13.4142i | 0.911092 | + | 0.910616i | ||||
\(218\) | −9.94192 | + | 2.91921i | −0.673352 | + | 0.197714i | ||||
\(219\) | 2.39393 | + | 1.88261i | 0.161767 | + | 0.127215i | ||||
\(220\) | −0.208965 | − | 3.49608i | −0.0140884 | − | 0.235706i | ||||
\(221\) | −31.9525 | + | 25.1277i | −2.14936 | + | 1.69027i | ||||
\(222\) | −23.0441 | − | 2.20045i | −1.54662 | − | 0.147684i | ||||
\(223\) | −0.700251 | + | 0.450024i | −0.0468923 | + | 0.0301358i | −0.563877 | − | 0.825859i | \(-0.690691\pi\) |
0.516985 | + | 0.855995i | \(0.327054\pi\) | |||||||
\(224\) | −12.3591 | + | 16.5188i | −0.825777 | + | 1.10371i | ||||
\(225\) | 5.77983 | + | 3.71447i | 0.385322 | + | 0.247631i | ||||
\(226\) | −21.6090 | − | 16.9935i | −1.43741 | − | 1.13039i | ||||
\(227\) | 4.01268 | + | 16.5405i | 0.266331 | + | 1.09783i | 0.935107 | + | 0.354366i | \(0.115303\pi\) |
−0.668776 | + | 0.743464i | \(0.733181\pi\) | |||||||
\(228\) | −2.38206 | − | 9.81899i | −0.157756 | − | 0.650279i | ||||
\(229\) | 3.71966 | − | 0.716906i | 0.245802 | − | 0.0473745i | −0.0648619 | − | 0.997894i | \(-0.520661\pi\) |
0.310664 | + | 0.950520i | \(0.399449\pi\) | |||||||
\(230\) | 2.56246 | + | 2.95724i | 0.168964 | + | 0.194995i | ||||
\(231\) | −4.69531 | + | 9.97767i | −0.308929 | + | 0.656483i | ||||
\(232\) | −0.865683 | + | 0.999051i | −0.0568349 | + | 0.0655909i | ||||
\(233\) | 10.8328 | − | 18.7630i | 0.709682 | − | 1.22921i | −0.255293 | − | 0.966864i | \(-0.582172\pi\) |
0.964975 | − | 0.262342i | \(-0.0844948\pi\) | |||||||
\(234\) | −12.1252 | − | 11.5613i | −0.792648 | − | 0.755788i | ||||
\(235\) | −1.74127 | + | 1.36935i | −0.113588 | + | 0.0893263i | ||||
\(236\) | 21.6970 | + | 30.4692i | 1.41236 | + | 1.98338i | ||||
\(237\) | 7.64100 | + | 2.24360i | 0.496336 | + | 0.145738i | ||||
\(238\) | −41.9917 | − | 0.988601i | −2.72192 | − | 0.0640815i | ||||
\(239\) | 1.76709 | 0.114304 | 0.0571519 | − | 0.998365i | \(-0.481798\pi\) | ||||
0.0571519 | + | 0.998365i | \(0.481798\pi\) | |||||||
\(240\) | 0.715817 | + | 1.00522i | 0.0462058 | + | 0.0648870i | ||||
\(241\) | −10.9950 | − | 19.0440i | −0.708253 | − | 1.22673i | −0.965505 | − | 0.260385i | \(-0.916150\pi\) |
0.257252 | − | 0.966344i | \(-0.417183\pi\) | |||||||
\(242\) | 2.79311 | − | 23.4403i | 0.179548 | − | 1.50680i | ||||
\(243\) | −6.62473 | + | 11.4744i | −0.424976 | + | 0.736081i | ||||
\(244\) | 12.2345 | − | 26.7898i | 0.783233 | − | 1.71504i | ||||
\(245\) | −2.58142 | − | 1.17726i | −0.164921 | − | 0.0752126i | ||||
\(246\) | 6.86968 | + | 7.92803i | 0.437995 | + | 0.505473i | ||||
\(247\) | 12.2723 | − | 11.7016i | 0.780865 | − | 0.744553i | ||||
\(248\) | −9.27517 | + | 0.885671i | −0.588974 | + | 0.0562402i | ||||
\(249\) | 2.55858 | − | 2.01209i | 0.162144 | − | 0.127511i | ||||
\(250\) | −2.01696 | + | 8.31403i | −0.127564 | + | 0.525825i | ||||
\(251\) | 17.9869 | 1.13532 | 0.567662 | − | 0.823262i | \(-0.307848\pi\) | ||||
0.567662 | + | 0.823262i | \(0.307848\pi\) | |||||||
\(252\) | −1.16524 | − | 9.72408i | −0.0734029 | − | 0.612560i | ||||
\(253\) | 7.61603 | + | 12.8303i | 0.478815 | + | 0.806632i | ||||
\(254\) | 6.71791 | − | 1.29477i | 0.421519 | − | 0.0812411i | ||||
\(255\) | −1.23240 | + | 3.56080i | −0.0771761 | + | 0.222986i | ||||
\(256\) | 0.588122 | + | 2.42427i | 0.0367576 | + | 0.151517i | ||||
\(257\) | −16.5324 | + | 15.7636i | −1.03126 | + | 0.983305i | −0.999869 | − | 0.0162021i | \(-0.994842\pi\) |
−0.0313919 | + | 0.999507i | \(0.509994\pi\) | |||||||
\(258\) | −2.13872 | + | 14.8751i | −0.133151 | + | 0.926084i | ||||
\(259\) | 5.87218 | − | 21.9382i | 0.364880 | − | 1.36318i | ||||
\(260\) | 2.41042 | − | 5.27807i | 0.149488 | − | 0.327332i | ||||
\(261\) | 0.0687908 | + | 1.44410i | 0.00425805 | + | 0.0893874i | ||||
\(262\) | 18.0635 | − | 25.3666i | 1.11596 | − | 1.56715i | ||||
\(263\) | 1.60226 | − | 1.26003i | 0.0987997 | − | 0.0776970i | −0.567537 | − | 0.823348i | \(-0.692104\pi\) |
0.666337 | + | 0.745651i | \(0.267861\pi\) | |||||||
\(264\) | −2.30873 | − | 4.89771i | −0.142093 | − | 0.301433i | ||||
\(265\) | −0.662401 | + | 4.60710i | −0.0406910 | + | 0.283012i | ||||
\(266\) | 17.4767 | − | 1.25455i | 1.07157 | − | 0.0769216i | ||||
\(267\) | −8.15398 | − | 5.24025i | −0.499016 | − | 0.320698i | ||||
\(268\) | 2.97168 | − | 12.2494i | 0.181524 | − | 0.748252i | ||||
\(269\) | 0.433056 | + | 0.750075i | 0.0264039 | + | 0.0457329i | 0.878925 | − | 0.476959i | \(-0.158261\pi\) |
−0.852522 | + | 0.522692i | \(0.824928\pi\) | |||||||
\(270\) | −4.74486 | − | 0.914497i | −0.288763 | − | 0.0556545i | ||||
\(271\) | −0.776883 | − | 16.3088i | −0.0471923 | − | 0.990688i | −0.890989 | − | 0.454025i | \(-0.849988\pi\) |
0.843797 | − | 0.536663i | \(-0.180315\pi\) | |||||||
\(272\) | −11.7374 | + | 13.5456i | −0.711682 | + | 0.821325i | ||||
\(273\) | −14.6224 | + | 10.9522i | −0.884988 | + | 0.662855i | ||||
\(274\) | 14.4656 | + | 9.29650i | 0.873901 | + | 0.561622i | ||||
\(275\) | −6.48553 | + | 14.6685i | −0.391092 | + | 0.884542i | ||||
\(276\) | 13.0917 | + | 6.74924i | 0.788028 | + | 0.406257i | ||||
\(277\) | −29.5817 | + | 11.8427i | −1.77739 | + | 0.711561i | −0.781212 | + | 0.624266i | \(0.785398\pi\) |
−0.996182 | + | 0.0872959i | \(0.972177\pi\) | |||||||
\(278\) | 30.5241 | − | 5.88305i | 1.83072 | − | 0.352842i | ||||
\(279\) | −6.67299 | + | 7.70104i | −0.399502 | + | 0.461049i | ||||
\(280\) | 1.25294 | − | 0.609044i | 0.0748773 | − | 0.0363973i | ||||
\(281\) | 13.2785 | + | 15.3242i | 0.792128 | + | 0.914164i | 0.997922 | − | 0.0644311i | \(-0.0205233\pi\) |
−0.205794 | + | 0.978595i | \(0.565978\pi\) | |||||||
\(282\) | −7.36962 | + | 12.7646i | −0.438854 | + | 0.760118i | ||||
\(283\) | −28.4420 | + | 2.71588i | −1.69070 | + | 0.161442i | −0.895547 | − | 0.444967i | \(-0.853215\pi\) |
−0.795153 | + | 0.606409i | \(0.792609\pi\) | |||||||
\(284\) | −0.667392 | − | 2.75103i | −0.0396024 | − | 0.163243i | ||||
\(285\) | 0.370575 | − | 1.52753i | 0.0219510 | − | 0.0904831i | ||||
\(286\) | 22.2984 | − | 32.1295i | 1.31853 | − | 1.89986i | ||||
\(287\) | −8.78641 | + | 5.35875i | −0.518645 | + | 0.316317i | ||||
\(288\) | −9.31999 | − | 5.98959i | −0.549186 | − | 0.352940i | ||||
\(289\) | −37.5566 | − | 3.58622i | −2.20921 | − | 0.210954i | ||||
\(290\) | −0.821684 | + | 0.328953i | −0.0482510 | + | 0.0193168i | ||||
\(291\) | −0.940098 | − | 0.896382i | −0.0551095 | − | 0.0525468i | ||||
\(292\) | −0.300434 | − | 6.30689i | −0.0175816 | − | 0.369083i | ||||
\(293\) | 8.20836 | + | 5.27519i | 0.479538 | + | 0.308180i | 0.757986 | − | 0.652271i | \(-0.226184\pi\) |
−0.278448 | + | 0.960451i | \(0.589820\pi\) | |||||||
\(294\) | −18.8569 | − | 0.888379i | −1.09976 | − | 0.0518113i | ||||
\(295\) | 0.828139 | + | 5.75983i | 0.0482161 | + | 0.335350i | ||||
\(296\) | 6.46840 | + | 9.08360i | 0.375968 | + | 0.527974i | ||||
\(297\) | −17.1871 | − | 6.64055i | −0.997299 | − | 0.385324i | ||||
\(298\) | 16.4233 | − | 23.0633i | 0.951377 | − | 1.33602i | ||||
\(299\) | 1.17619 | + | 24.6913i | 0.0680208 | + | 1.42793i | ||||
\(300\) | 2.25321 | + | 15.6714i | 0.130089 | + | 0.904788i | ||||
\(301\) | −14.0446 | − | 4.48551i | −0.809515 | − | 0.258540i | ||||
\(302\) | −1.17878 | − | 2.58118i | −0.0678314 | − | 0.148530i | ||||
\(303\) | 10.0148 | + | 0.956294i | 0.575333 | + | 0.0549377i | ||||
\(304\) | 4.33695 | − | 6.09040i | 0.248741 | − | 0.349308i | ||||
\(305\) | 3.60146 | − | 2.83222i | 0.206219 | − | 0.162172i | ||||
\(306\) | −1.07326 | − | 22.5304i | −0.0613540 | − | 1.28798i | ||||
\(307\) | −7.51389 | − | 16.4531i | −0.428840 | − | 0.939029i | −0.993513 | − | 0.113715i | \(-0.963725\pi\) |
0.564673 | − | 0.825315i | \(-0.309002\pi\) | |||||||
\(308\) | 22.0081 | − | 6.18964i | 1.25403 | − | 0.352687i | ||||
\(309\) | 9.69811 | − | 21.2359i | 0.551706 | − | 1.20807i | ||||
\(310\) | −5.79146 | − | 2.31855i | −0.328933 | − | 0.131685i | ||||
\(311\) | −11.2976 | + | 4.52290i | −0.640631 | + | 0.256470i | −0.669155 | − | 0.743123i | \(-0.733344\pi\) |
0.0285238 | + | 0.999593i | \(0.490919\pi\) | |||||||
\(312\) | 0.426836 | − | 8.96040i | 0.0241648 | − | 0.507283i | ||||
\(313\) | −0.410096 | − | 8.60898i | −0.0231800 | − | 0.486608i | −0.980372 | − | 0.197155i | \(-0.936830\pi\) |
0.957192 | − | 0.289453i | \(-0.0934733\pi\) | |||||||
\(314\) | −2.73749 | + | 0.803800i | −0.154486 | + | 0.0453610i | ||||
\(315\) | 0.532066 | − | 1.42766i | 0.0299785 | − | 0.0804398i | ||||
\(316\) | −6.85864 | − | 15.0183i | −0.385828 | − | 0.844846i | ||||
\(317\) | 22.6487 | − | 11.6762i | 1.27208 | − | 0.655801i | 0.315956 | − | 0.948774i | \(-0.397675\pi\) |
0.956121 | + | 0.292973i | \(0.0946446\pi\) | |||||||
\(318\) | 7.30131 | + | 30.0964i | 0.409437 | + | 1.68772i | ||||
\(319\) | −3.30592 | + | 0.678751i | −0.185096 | + | 0.0380028i | ||||
\(320\) | 1.13599 | − | 4.68260i | 0.0635036 | − | 0.261765i | ||||
\(321\) | 14.4448 | + | 4.24138i | 0.806230 | + | 0.236731i | ||||
\(322\) | −15.3018 | + | 20.4520i | −0.852736 | + | 1.13974i | ||||
\(323\) | 22.8296 | 1.27027 | ||||||||
\(324\) | −6.95607 | + | 1.34067i | −0.386448 | + | 0.0744818i | ||||
\(325\) | −20.8864 | + | 16.4252i | −1.15857 | + | 0.911108i | ||||
\(326\) | −16.9490 | − | 3.26666i | −0.938720 | − | 0.180923i | ||||
\(327\) | −5.95796 | + | 1.14830i | −0.329476 | + | 0.0635013i | ||||
\(328\) | 0.719172 | − | 5.00195i | 0.0397096 | − | 0.276186i | ||||
\(329\) | −11.1529 | − | 9.20368i | −0.614877 | − | 0.507415i | ||||
\(330\) | 0.128669 | − | 3.62299i | 0.00708299 | − | 0.199439i | ||||
\(331\) | 2.39751 | − | 1.23600i | 0.131779 | − | 0.0679368i | −0.391076 | − | 0.920358i | \(-0.627897\pi\) |
0.522855 | + | 0.852421i | \(0.324867\pi\) | |||||||
\(332\) | −6.62636 | − | 1.27713i | −0.363669 | − | 0.0700914i | ||||
\(333\) | 11.9753 | + | 2.30804i | 0.656241 | + | 0.126480i | ||||
\(334\) | −0.121789 | − | 2.55667i | −0.00666402 | − | 0.139895i | ||||
\(335\) | 1.28412 | − | 1.48195i | 0.0701589 | − | 0.0809677i | ||||
\(336\) | −5.41702 | + | 5.96205i | −0.295522 | + | 0.325256i | ||||
\(337\) | 10.7441 | − | 3.15476i | 0.585270 | − | 0.171851i | 0.0243254 | − | 0.999704i | \(-0.492256\pi\) |
0.560945 | + | 0.827853i | \(0.310438\pi\) | |||||||
\(338\) | 32.7940 | − | 16.9065i | 1.78376 | − | 0.919591i | ||||
\(339\) | −11.6507 | − | 11.1089i | −0.632777 | − | 0.603351i | ||||
\(340\) | 7.25241 | − | 2.90343i | 0.393317 | − | 0.157460i | ||||
\(341\) | −20.1651 | − | 12.6172i | −1.09200 | − | 0.683259i | ||||
\(342\) | 1.33907 | + | 9.31346i | 0.0724088 | + | 0.503614i | ||||
\(343\) | 3.92257 | − | 18.1001i | 0.211799 | − | 0.977313i | ||||
\(344\) | 6.09011 | − | 3.91388i | 0.328357 | − | 0.211022i | ||||
\(345\) | 1.32913 | + | 1.86651i | 0.0715581 | + | 0.100489i | ||||
\(346\) | −0.814277 | + | 17.0938i | −0.0437758 | + | 0.918967i | ||||
\(347\) | 18.3651 | − | 7.35228i | 0.985891 | − | 0.394691i | 0.178005 | − | 0.984030i | \(-0.443036\pi\) |
0.807886 | + | 0.589338i | \(0.200611\pi\) | |||||||
\(348\) | −2.41118 | + | 2.29906i | −0.129253 | + | 0.123242i | ||||
\(349\) | 28.2078 | + | 8.28257i | 1.50993 | + | 0.443356i | 0.928839 | − | 0.370483i | \(-0.120808\pi\) |
0.581091 | + | 0.813838i | \(0.302626\pi\) | |||||||
\(350\) | −27.4487 | − | 0.646219i | −1.46720 | − | 0.0345419i | ||||
\(351\) | −19.9903 | − | 23.0700i | −1.06700 | − | 1.23139i | ||||
\(352\) | 10.4579 | − | 23.6529i | 0.557409 | − | 1.26071i | ||||
\(353\) | −13.0651 | − | 2.51809i | −0.695384 | − | 0.134024i | −0.170702 | − | 0.985323i | \(-0.554604\pi\) |
−0.524682 | + | 0.851298i | \(0.675816\pi\) | |||||||
\(354\) | 19.3591 | + | 33.5309i | 1.02892 | + | 1.78215i | ||||
\(355\) | 0.103825 | − | 0.427974i | 0.00551048 | − | 0.0227145i | ||||
\(356\) | 2.85983 | + | 19.8906i | 0.151571 | + | 1.05420i | ||||
\(357\) | −24.4233 | − | 2.91368i | −1.29262 | − | 0.154208i | ||||
\(358\) | −42.9031 | − | 12.5975i | −2.26750 | − | 0.665798i | ||||
\(359\) | −12.6649 | + | 2.44096i | −0.668429 | + | 0.128829i | −0.512166 | − | 0.858886i | \(-0.671157\pi\) |
−0.156263 | + | 0.987715i | \(0.549945\pi\) | |||||||
\(360\) | 0.374056 | + | 0.647884i | 0.0197145 | + | 0.0341465i | ||||
\(361\) | 9.43372 | − | 0.900811i | 0.496512 | − | 0.0474111i | ||||
\(362\) | −3.00493 | + | 5.20469i | −0.157936 | + | 0.273552i | ||||
\(363\) | 2.93296 | − | 13.5086i | 0.153940 | − | 0.709020i | ||||
\(364\) | 37.0128 | + | 8.04151i | 1.94000 | + | 0.421489i | ||||
\(365\) | 0.408049 | − | 0.893503i | 0.0213583 | − | 0.0467681i | ||||
\(366\) | 15.2426 | − | 26.4009i | 0.796743 | − | 1.38000i | ||||
\(367\) | 0.228456 | − | 0.660081i | 0.0119253 | − | 0.0344560i | −0.938881 | − | 0.344242i | \(-0.888136\pi\) |
0.950806 | + | 0.309786i | \(0.100257\pi\) | |||||||
\(368\) | 2.56964 | + | 10.5922i | 0.133952 | + | 0.552157i | ||||
\(369\) | −3.20577 | − | 4.50187i | −0.166886 | − | 0.234358i | ||||
\(370\) | 1.06256 | + | 7.39024i | 0.0552397 | + | 0.384200i | ||||
\(371\) | −30.3049 | + | 2.17541i | −1.57335 | + | 0.112942i | ||||
\(372\) | −23.4819 | −1.21748 | ||||||||
\(373\) | 9.39924 | + | 27.1573i | 0.486674 | + | 1.40615i | 0.874772 | + | 0.484534i | \(0.161011\pi\) |
−0.388098 | + | 0.921618i | \(0.626868\pi\) | |||||||
\(374\) | 51.5780 | − | 10.5897i | 2.66704 | − | 0.547580i | ||||
\(375\) | −1.63854 | + | 4.73425i | −0.0846138 | + | 0.244475i | ||||
\(376\) | 6.97188 | − | 1.34372i | 0.359547 | − | 0.0692971i | ||||
\(377\) | −5.36480 | − | 1.57525i | −0.276301 | − | 0.0811293i | ||||
\(378\) | −0.758894 | − | 31.5337i | −0.0390333 | − | 1.62192i | ||||
\(379\) | 4.47333 | − | 31.1127i | 0.229779 | − | 1.59815i | −0.469256 | − | 0.883062i | \(-0.655478\pi\) |
0.699035 | − | 0.715088i | \(-0.253613\pi\) | |||||||
\(380\) | −2.89652 | + | 1.49326i | −0.148588 | + | 0.0766026i | ||||
\(381\) | 3.98816 | − | 0.380823i | 0.204319 | − | 0.0195101i | ||||
\(382\) | −46.6877 | − | 24.0692i | −2.38875 | − | 1.23149i | ||||
\(383\) | −9.16795 | − | 0.875433i | −0.468460 | − | 0.0447325i | −0.141843 | − | 0.989889i | \(-0.545303\pi\) |
−0.326617 | + | 0.945157i | \(0.605909\pi\) | |||||||
\(384\) | −1.77356 | − | 12.3354i | −0.0905065 | − | 0.629486i | ||||
\(385\) | 3.48441 | + | 0.712995i | 0.177582 | + | 0.0363376i | ||||
\(386\) | 6.04667 | − | 42.0555i | 0.307768 | − | 2.14057i | ||||
\(387\) | 1.86657 | − | 7.69413i | 0.0948833 | − | 0.391114i | ||||
\(388\) | −0.128140 | + | 2.68998i | −0.00650530 | + | 0.136563i | ||||
\(389\) | 18.0717 | + | 17.2313i | 0.916270 | + | 0.873661i | 0.992352 | − | 0.123440i | \(-0.0393927\pi\) |
−0.0760823 | + | 0.997102i | \(0.524241\pi\) | |||||||
\(390\) | 3.00306 | − | 5.20146i | 0.152066 | − | 0.263386i | ||||
\(391\) | −21.7940 | + | 25.1516i | −1.10217 | + | 1.27197i | ||||
\(392\) | 5.62516 | + | 7.14528i | 0.284114 | + | 0.360891i | ||||
\(393\) | 11.9418 | − | 13.7815i | 0.602382 | − | 0.695186i | ||||
\(394\) | 10.0060 | + | 28.9103i | 0.504093 | + | 1.45648i | ||||
\(395\) | 0.122214 | − | 2.56559i | 0.00614925 | − | 0.129089i | ||||
\(396\) | 4.15550 | + | 11.5523i | 0.208822 | + | 0.580526i | ||||
\(397\) | 1.32754 | + | 27.8685i | 0.0666274 | + | 1.39868i | 0.746517 | + | 0.665367i | \(0.231725\pi\) |
−0.679889 | + | 0.733315i | \(0.737972\pi\) | |||||||
\(398\) | −2.38408 | + | 16.5816i | −0.119503 | + | 0.831163i | ||||
\(399\) | 10.2576 | + | 0.241492i | 0.513522 | + | 0.0120897i | ||||
\(400\) | −7.67236 | + | 8.85438i | −0.383618 | + | 0.442719i | ||||
\(401\) | 16.4645 | + | 6.59140i | 0.822199 | + | 0.329159i | 0.744336 | − | 0.667805i | \(-0.232766\pi\) |
0.0778632 | + | 0.996964i | \(0.475190\pi\) | |||||||
\(402\) | 4.26733 | − | 12.3296i | 0.212835 | − | 0.614946i | ||||
\(403\) | −19.7045 | − | 34.1291i | −0.981549 | − | 1.70009i | ||||
\(404\) | −12.0984 | − | 16.9899i | −0.601920 | − | 0.845279i | ||||
\(405\) | −1.05742 | − | 0.310487i | −0.0525438 | − | 0.0154282i | ||||
\(406\) | −3.23960 | − | 4.78381i | −0.160779 | − | 0.237417i | ||||
\(407\) | −1.01043 | + | 28.4512i | −0.0500853 | + | 1.41027i | ||||
\(408\) | 8.74079 | − | 8.33433i | 0.432734 | − | 0.412611i | ||||
\(409\) | 0.524593 | − | 11.0126i | 0.0259395 | − | 0.544536i | −0.948074 | − | 0.318048i | \(-0.896973\pi\) |
0.974014 | − | 0.226488i | \(-0.0727244\pi\) | |||||||
\(410\) | 1.96258 | − | 2.75606i | 0.0969251 | − | 0.136112i | ||||
\(411\) | 7.91501 | + | 6.22444i | 0.390419 | + | 0.307029i | ||||
\(412\) | −46.4402 | + | 13.6361i | −2.28794 | + | 0.671801i | ||||
\(413\) | −35.5864 | + | 13.2837i | −1.75109 | + | 0.653646i | ||||
\(414\) | −11.5391 | − | 7.41572i | −0.567115 | − | 0.364463i | ||||
\(415\) | −0.825220 | − | 0.648960i | −0.0405085 | − | 0.0318562i | ||||
\(416\) | 33.6793 | − | 26.4857i | 1.65126 | − | 1.29857i | ||||
\(417\) | 18.1210 | − | 1.73034i | 0.887389 | − | 0.0847353i | ||||
\(418\) | −20.9985 | + | 6.44270i | −1.02707 | + | 0.315123i | ||||
\(419\) | −3.22377 | − | 7.05907i | −0.157491 | − | 0.344858i | 0.814394 | − | 0.580312i | \(-0.197069\pi\) |
−0.971885 | + | 0.235454i | \(0.924342\pi\) | |||||||
\(420\) | 3.28930 | − | 1.22783i | 0.160502 | − | 0.0599118i | ||||
\(421\) | 3.79780 | + | 26.4143i | 0.185094 | + | 1.28735i | 0.844495 | + | 0.535564i | \(0.179901\pi\) |
−0.659401 | + | 0.751791i | \(0.729190\pi\) | |||||||
\(422\) | −39.3327 | − | 3.75581i | −1.91468 | − | 0.182830i | ||||
\(423\) | 4.50422 | − | 6.32529i | 0.219003 | − | 0.307546i | ||||
\(424\) | 8.65363 | − | 12.1523i | 0.420258 | − | 0.590169i | ||||
\(425\) | −35.6117 | − | 3.40051i | −1.72742 | − | 0.164949i | ||||
\(426\) | −0.417011 | − | 2.90038i | −0.0202043 | − | 0.140524i | ||||
\(427\) | 23.0675 | + | 19.0360i | 1.11631 | + | 0.921215i | ||||
\(428\) | −12.9658 | − | 28.3911i | −0.626725 | − | 1.37234i | ||||
\(429\) | 14.7869 | − | 17.4881i | 0.713918 | − | 0.844336i | ||||
\(430\) | 4.82506 | − | 0.460737i | 0.232685 | − | 0.0222187i | ||||
\(431\) | −1.75373 | + | 1.37915i | −0.0844741 | + | 0.0664312i | −0.659503 | − | 0.751702i | \(-0.729233\pi\) |
0.575029 | + | 0.818133i | \(0.304991\pi\) | |||||||
\(432\) | −10.5801 | − | 8.32031i | −0.509037 | − | 0.400311i | ||||
\(433\) | −12.8570 | − | 8.26270i | −0.617868 | − | 0.397080i | 0.193932 | − | 0.981015i | \(-0.437876\pi\) |
−0.811800 | + | 0.583935i | \(0.801512\pi\) | |||||||
\(434\) | 6.74237 | − | 40.1596i | 0.323644 | − | 1.92772i | ||||
\(435\) | −0.497297 | + | 0.146020i | −0.0238436 | + | 0.00700110i | ||||
\(436\) | 9.88819 | + | 7.77616i | 0.473558 | + | 0.372410i | ||||
\(437\) | 8.05288 | − | 11.3087i | 0.385222 | − | 0.540968i | ||||
\(438\) | 0.310981 | − | 6.52830i | 0.0148593 | − | 0.311934i | ||||
\(439\) | −7.76829 | + | 7.40705i | −0.370760 | + | 0.353519i | −0.852437 | − | 0.522830i | \(-0.824876\pi\) |
0.481677 | + | 0.876349i | \(0.340028\pi\) | |||||||
\(440\) | −1.35958 | + | 1.09606i | −0.0648152 | + | 0.0522528i | ||||
\(441\) | 9.84497 | + | 1.41024i | 0.468808 | + | 0.0671542i | ||||
\(442\) | 83.7002 | + | 24.5766i | 3.98121 | + | 1.16899i | ||||
\(443\) | −2.65912 | − | 3.73421i | −0.126339 | − | 0.177418i | 0.746562 | − | 0.665316i | \(-0.231703\pi\) |
−0.872901 | + | 0.487898i | \(0.837764\pi\) | |||||||
\(444\) | 14.0520 | + | 24.3388i | 0.666878 | + | 1.15507i | ||||
\(445\) | −1.02247 | + | 2.95424i | −0.0484698 | + | 0.140044i | ||||
\(446\) | 1.65836 | + | 0.663908i | 0.0785257 | + | 0.0314369i | ||||
\(447\) | 10.8575 | − | 12.5302i | 0.513540 | − | 0.592657i | ||||
\(448\) | 31.4443 | + | 0.740287i | 1.48561 | + | 0.0349753i | ||||
\(449\) | 0.824421 | − | 5.73397i | 0.0389068 | − | 0.270603i | −0.961077 | − | 0.276280i | \(-0.910898\pi\) |
0.999984 | + | 0.00567756i | \(0.00180723\pi\) | |||||||
\(450\) | −0.701556 | − | 14.7275i | −0.0330717 | − | 0.694259i | ||||
\(451\) | 9.22864 | − | 9.01518i | 0.434560 | − | 0.424508i | ||||
\(452\) | −1.58804 | + | 33.3370i | −0.0746949 | + | 1.56804i | ||||
\(453\) | −0.543475 | − | 1.57027i | −0.0255347 | − | 0.0737776i | ||||
\(454\) | 23.9192 | − | 27.6042i | 1.12258 | − | 1.29553i | ||||
\(455\) | 4.54471 | + | 3.75043i | 0.213059 | + | 0.175823i | ||||
\(456\) | −3.29924 | + | 3.80752i | −0.154501 | + | 0.178304i | ||||
\(457\) | −1.07172 | + | 1.85628i | −0.0501332 | + | 0.0868332i | −0.890003 | − | 0.455955i | \(-0.849298\pi\) |
0.839870 | + | 0.542788i | \(0.182631\pi\) | |||||||
\(458\) | −5.88348 | − | 5.60989i | −0.274917 | − | 0.262133i | ||||
\(459\) | 1.95553 | − | 41.0516i | 0.0912764 | − | 1.91613i | ||||
\(460\) | 1.11999 | − | 4.61665i | 0.0522197 | − | 0.215253i | ||||
\(461\) | 3.90484 | − | 27.1588i | 0.181867 | − | 1.26491i | −0.670478 | − | 0.741929i | \(-0.733911\pi\) |
0.852345 | − | 0.522981i | \(-0.175180\pi\) | |||||||
\(462\) | 23.2866 | − | 4.21247i | 1.08339 | − | 0.195982i | ||||
\(463\) | −0.936493 | − | 6.51345i | −0.0435225 | − | 0.302706i | −0.999943 | − | 0.0107117i | \(-0.996590\pi\) |
0.956420 | − | 0.291994i | \(-0.0943188\pi\) | |||||||
\(464\) | −2.45420 | − | 0.234347i | −0.113933 | − | 0.0108793i | ||||
\(465\) | −3.24697 | − | 1.67393i | −0.150575 | − | 0.0776267i | ||||
\(466\) | −46.2842 | + | 4.41961i | −2.14407 | + | 0.204734i | ||||
\(467\) | 1.63928 | − | 0.845110i | 0.0758570 | − | 0.0391070i | −0.419881 | − | 0.907579i | \(-0.637928\pi\) |
0.495738 | + | 0.868472i | \(0.334898\pi\) | |||||||
\(468\) | −2.89465 | + | 20.1327i | −0.133805 | + | 0.930635i | ||||
\(469\) | 11.2360 | + | 6.13151i | 0.518830 | + | 0.283127i | ||||
\(470\) | 4.56128 | + | 1.33931i | 0.210396 | + | 0.0617779i | ||||
\(471\) | −1.64051 | + | 0.316183i | −0.0755909 | + | 0.0145690i | ||||
\(472\) | 6.10025 | − | 17.6255i | 0.280787 | − | 0.811280i | ||||
\(473\) | 18.4181 | + | 1.53407i | 0.846866 | + | 0.0705366i | ||||
\(474\) | −5.58957 | − | 16.1500i | −0.256737 | − | 0.741794i | ||||
\(475\) | 14.9230 | 0.684715 | ||||||||
\(476\) | 28.5936 | + | 42.2232i | 1.31059 | + | 1.93530i | ||||
\(477\) | −2.32197 | − | 16.1497i | −0.106316 | − | 0.739442i | ||||
\(478\) | −2.19969 | − | 3.08904i | −0.100612 | − | 0.141289i | ||||
\(479\) | 8.97645 | + | 37.0014i | 0.410144 | + | 1.69064i | 0.684502 | + | 0.729011i | \(0.260020\pi\) |
−0.274358 | + | 0.961628i | \(0.588465\pi\) | |||||||
\(480\) | 1.29901 | − | 3.75324i | 0.0592913 | − | 0.171311i | ||||
\(481\) | −23.5830 | + | 40.8469i | −1.07529 | + | 1.86246i | ||||
\(482\) | −19.6038 | + | 42.9264i | −0.892930 | + | 1.95524i | ||||
\(483\) | −10.0583 | + | 11.0704i | −0.457671 | + | 0.503719i | ||||
\(484\) | −25.1479 | + | 13.7449i | −1.14309 | + | 0.624767i | ||||
\(485\) | −0.209476 | + | 0.362823i | −0.00951182 | + | 0.0164749i | ||||
\(486\) | 28.3047 | − | 2.70277i | 1.28393 | − | 0.122600i | ||||
\(487\) | 0.298231 | + | 0.516552i | 0.0135141 | + | 0.0234072i | 0.872703 | − | 0.488251i | \(-0.162365\pi\) |
−0.859189 | + | 0.511658i | \(0.829032\pi\) | |||||||
\(488\) | −14.4199 | + | 2.77922i | −0.652760 | + | 0.125809i | ||||
\(489\) | −9.69831 | − | 2.84768i | −0.438573 | − | 0.128777i | ||||
\(490\) | 1.15541 | + | 5.97802i | 0.0521962 | + | 0.270060i | ||||
\(491\) | −4.86348 | − | 33.8262i | −0.219486 | − | 1.52656i | −0.739944 | − | 0.672669i | \(-0.765148\pi\) |
0.520458 | − | 0.853887i | \(-0.325761\pi\) | |||||||
\(492\) | 3.00256 | − | 12.3767i | 0.135366 | − | 0.557986i | ||||
\(493\) | −3.76387 | − | 6.51921i | −0.169516 | − | 0.293610i | ||||
\(494\) | −35.7320 | − | 6.88678i | −1.60766 | − | 0.309851i | ||||
\(495\) | −0.248915 | + | 1.89363i | −0.0111879 | + | 0.0851123i | ||||
\(496\) | −11.3792 | − | 13.1323i | −0.510942 | − | 0.589659i | ||||
\(497\) | 2.87391 | + | 0.0676598i | 0.128912 | + | 0.00303496i | ||||
\(498\) | −6.70226 | − | 1.96796i | −0.300336 | − | 0.0881865i | ||||
\(499\) | −10.6021 | + | 10.1091i | −0.474615 | + | 0.452544i | −0.889235 | − | 0.457450i | \(-0.848763\pi\) |
0.414621 | + | 0.909994i | \(0.363914\pi\) | |||||||
\(500\) | 9.64242 | − | 3.86024i | 0.431222 | − | 0.172635i | ||||
\(501\) | 0.0713179 | − | 1.49715i | 0.00318625 | − | 0.0668876i | ||||
\(502\) | −22.3903 | − | 31.4427i | −0.999326 | − | 1.40336i | ||||
\(503\) | 1.71767 | − | 1.10388i | 0.0765872 | − | 0.0492196i | −0.501787 | − | 0.864991i | \(-0.667324\pi\) |
0.578374 | + | 0.815772i | \(0.303687\pi\) | |||||||
\(504\) | −3.61264 | + | 3.28583i | −0.160920 | + | 0.146362i | ||||
\(505\) | −0.461777 | − | 3.21173i | −0.0205488 | − | 0.142920i | ||||
\(506\) | 12.9480 | − | 29.2847i | 0.575607 | − | 1.30186i | ||||
\(507\) | 20.0577 | − | 8.02991i | 0.890796 | − | 0.356621i | ||||
\(508\) | −6.01131 | − | 5.73178i | −0.266709 | − | 0.254306i | ||||
\(509\) | 7.59599 | − | 3.91601i | 0.336686 | − | 0.173574i | −0.281590 | − | 0.959535i | \(-0.590862\pi\) |
0.618276 | + | 0.785961i | \(0.287831\pi\) | |||||||
\(510\) | 7.75870 | − | 2.27816i | 0.343561 | − | 0.100879i | ||||
\(511\) | 6.26574 | + | 1.36131i | 0.277180 | + | 0.0602209i | ||||
\(512\) | 16.4941 | − | 19.0352i | 0.728941 | − | 0.841243i | ||||
\(513\) | 0.815751 | + | 17.1247i | 0.0360163 | + | 0.756075i | ||||
\(514\) | 48.1358 | + | 9.27741i | 2.12318 | + | 0.409209i | ||||
\(515\) | −7.39358 | − | 1.42500i | −0.325800 | − | 0.0627928i | ||||
\(516\) | 16.2166 | − | 8.36026i | 0.713898 | − | 0.368040i | ||||
\(517\) | 16.2110 | + | 8.11057i | 0.712957 | + | 0.356702i | ||||
\(518\) | −45.6597 | + | 17.0438i | −2.00617 | + | 0.748861i | ||||
\(519\) | −1.42616 | + | 9.91919i | −0.0626017 | + | 0.435404i | ||||
\(520\) | −2.84099 | + | 0.547556i | −0.124586 | + | 0.0240119i | ||||
\(521\) | −26.9154 | − | 5.18753i | −1.17919 | − | 0.227270i | −0.438256 | − | 0.898850i | \(-0.644404\pi\) |
−0.740931 | + | 0.671581i | \(0.765616\pi\) | |||||||
\(522\) | 2.43878 | − | 1.91788i | 0.106742 | − | 0.0839432i | ||||
\(523\) | −5.36204 | + | 1.03345i | −0.234466 | + | 0.0451895i | −0.305130 | − | 0.952311i | \(-0.598700\pi\) |
0.0706648 | + | 0.997500i | \(0.477488\pi\) | |||||||
\(524\) | −37.8065 | −1.65159 | ||||||||
\(525\) | −15.9648 | − | 1.90459i | −0.696760 | − | 0.0831230i | ||||
\(526\) | −4.19716 | − | 1.23240i | −0.183005 | − | 0.0537351i | ||||
\(527\) | 12.5088 | − | 51.5619i | 0.544891 | − | 2.24607i | ||||
\(528\) | 4.94283 | − | 8.80560i | 0.215109 | − | 0.383215i | ||||
\(529\) | −0.651131 | − | 2.68400i | −0.0283100 | − | 0.116696i | ||||
\(530\) | 8.87819 | − | 4.57702i | 0.385644 | − | 0.198813i | ||||
\(531\) | −8.47366 | − | 18.5547i | −0.367725 | − | 0.805206i | ||||
\(532\) | −13.5481 | − | 16.3999i | −0.587384 | − | 0.711025i | ||||
\(533\) | 20.5081 | − | 6.02173i | 0.888306 | − | 0.260830i | ||||
\(534\) | 0.989730 | + | 20.7770i | 0.0428298 | + | 0.899109i | ||||
\(535\) | 0.231037 | − | 4.85007i | 0.00998861 | − | 0.209687i | ||||
\(536\) | −5.83490 | + | 2.33594i | −0.252029 | + | 0.100897i | ||||
\(537\) | −24.3084 | − | 9.73162i | −1.04899 | − | 0.419950i | ||||
\(538\) | 0.772126 | − | 1.69072i | 0.0332887 | − | 0.0728922i | ||||
\(539\) | 0.293059 | + | 23.2145i | 0.0126229 | + | 0.999920i | ||||
\(540\) | 2.43704 | + | 5.33637i | 0.104873 | + | 0.229641i | ||||
\(541\) | −1.35148 | − | 28.3711i | −0.0581047 | − | 1.21977i | −0.820114 | − | 0.572201i | \(-0.806090\pi\) |
0.762009 | − | 0.647567i | \(-0.224213\pi\) | |||||||
\(542\) | −27.5421 | + | 21.6594i | −1.18304 | + | 0.930350i | ||||
\(543\) | −2.04138 | + | 2.86672i | −0.0876041 | + | 0.123023i | ||||
\(544\) | 57.4239 | + | 5.48332i | 2.46203 | + | 0.235095i | ||||
\(545\) | 0.812962 | + | 1.78014i | 0.0348235 | + | 0.0762528i | ||||
\(546\) | 37.3475 | + | 11.9279i | 1.59832 | + | 0.510468i | ||||
\(547\) | 3.69326 | + | 25.6872i | 0.157912 | + | 1.09830i | 0.902472 | + | 0.430749i | \(0.141750\pi\) |
−0.744560 | + | 0.667556i | \(0.767340\pi\) | |||||||
\(548\) | −0.993319 | − | 20.8523i | −0.0424325 | − | 0.890768i | ||||
\(549\) | −9.31608 | + | 13.0826i | −0.397601 | + | 0.558352i | ||||
\(550\) | 33.7150 | − | 6.92217i | 1.43761 | − | 0.295162i | ||||
\(551\) | 1.82149 | + | 2.55793i | 0.0775982 | + | 0.108971i | ||||
\(552\) | −1.04521 | − | 7.26962i | −0.0444872 | − | 0.309416i | ||||
\(553\) | 16.5334 | − | 2.78467i | 0.703072 | − | 0.118416i | ||||
\(554\) | 57.5258 | + | 36.9696i | 2.44404 | + | 1.57069i | ||||
\(555\) | 0.208033 | + | 4.36716i | 0.00883052 | + | 0.185375i | ||||
\(556\) | −27.3136 | − | 26.0435i | −1.15835 | − | 1.10449i | ||||
\(557\) | 3.33352 | − | 1.33454i | 0.141246 | − | 0.0565462i | −0.299963 | − | 0.953951i | \(-0.596974\pi\) |
0.441208 | + | 0.897405i | \(0.354550\pi\) | |||||||
\(558\) | 21.7687 | + | 2.07866i | 0.921543 | + | 0.0879967i | ||||
\(559\) | 25.7589 | + | 16.5542i | 1.08948 | + | 0.700169i | ||||
\(560\) | 2.28064 | + | 1.24455i | 0.0963747 | + | 0.0525919i | ||||
\(561\) | 30.6560 | − | 3.30207i | 1.29430 | − | 0.139414i | ||||
\(562\) | 10.2589 | − | 42.2876i | 0.432744 | − | 1.78380i | ||||
\(563\) | −6.18629 | − | 25.5002i | −0.260721 | − | 1.07471i | −0.940095 | − | 0.340914i | \(-0.889264\pi\) |
0.679374 | − | 0.733793i | \(-0.262252\pi\) | |||||||
\(564\) | 17.8131 | − | 1.70095i | 0.750068 | − | 0.0716229i | ||||
\(565\) | −2.59604 | + | 4.49647i | −0.109216 | + | 0.189168i | ||||
\(566\) | 40.1524 | + | 46.3383i | 1.68773 | + | 1.94775i | ||||
\(567\) | 0.511331 | − | 7.17571i | 0.0214739 | − | 0.301351i | ||||
\(568\) | −0.924361 | + | 1.06677i | −0.0387853 | + | 0.0447606i | ||||
\(569\) | −13.7845 | + | 2.65674i | −0.577876 | + | 0.111376i | −0.469811 | − | 0.882767i | \(-0.655678\pi\) |
−0.108066 | + | 0.994144i | \(0.534466\pi\) | |||||||
\(570\) | −3.13155 | + | 1.25369i | −0.131166 | + | 0.0525111i | ||||
\(571\) | −16.2377 | − | 8.37111i | −0.679526 | − | 0.350320i | 0.0836642 | − | 0.996494i | \(-0.473338\pi\) |
−0.763190 | + | 0.646174i | \(0.776368\pi\) | |||||||
\(572\) | −47.4770 | + | 0.574512i | −1.98511 | + | 0.0240216i | ||||
\(573\) | −25.8760 | − | 16.6295i | −1.08099 | − | 0.694707i | ||||
\(574\) | 20.3050 | + | 8.68881i | 0.847513 | + | 0.362664i | ||||
\(575\) | −14.2461 | + | 16.4409i | −0.594103 | + | 0.685631i | ||||
\(576\) | 0.803679 | + | 16.8713i | 0.0334866 | + | 0.702971i | ||||
\(577\) | −9.16257 | − | 1.76594i | −0.381443 | − | 0.0735171i | −0.00507434 | − | 0.999987i | \(-0.501615\pi\) |
−0.376369 | + | 0.926470i | \(0.622827\pi\) | |||||||
\(578\) | 40.4817 | + | 70.1164i | 1.68382 | + | 2.91646i | ||||
\(579\) | 5.86575 | − | 24.1790i | 0.243772 | − | 1.00484i | ||||
\(580\) | 0.903958 | + | 0.580938i | 0.0375348 | + | 0.0241222i | ||||
\(581\) | 2.99273 | − | 6.16490i | 0.124159 | − | 0.255763i | ||||
\(582\) | −0.396713 | + | 2.75920i | −0.0164443 | + | 0.114372i | ||||
\(583\) | 36.4116 | − | 11.1717i | 1.50802 | − | 0.462686i | ||||
\(584\) | −2.47479 | + | 1.94620i | −0.102408 | + | 0.0805343i | ||||
\(585\) | −1.83544 | + | 2.57751i | −0.0758859 | + | 0.106567i | ||||
\(586\) | −0.996331 | − | 20.9156i | −0.0411580 | − | 0.864013i | ||||
\(587\) | −6.57140 | + | 14.3894i | −0.271231 | + | 0.593912i | −0.995410 | − | 0.0956991i | \(-0.969491\pi\) |
0.724180 | + | 0.689611i | \(0.242219\pi\) | |||||||
\(588\) | 12.4008 | + | 19.2738i | 0.511400 | + | 0.794840i | ||||
\(589\) | −3.14985 | + | 21.9077i | −0.129787 | + | 0.902691i | ||||
\(590\) | 9.03782 | − | 8.61755i | 0.372081 | − | 0.354779i | ||||
\(591\) | 4.22356 | + | 17.4097i | 0.173734 | + | 0.716141i | ||||
\(592\) | −6.80198 | + | 19.6530i | −0.279560 | + | 0.807734i | ||||
\(593\) | −11.2501 | + | 2.16827i | −0.461984 | + | 0.0890402i | −0.414932 | − | 0.909852i | \(-0.636195\pi\) |
−0.0470520 | + | 0.998892i | \(0.514983\pi\) | |||||||
\(594\) | 9.78644 | + | 38.3109i | 0.401542 | + | 1.57191i | ||||
\(595\) | 0.943870 | + | 7.87675i | 0.0386949 | + | 0.322915i | ||||
\(596\) | −34.3737 | −1.40800 | ||||||||
\(597\) | −2.31275 | + | 9.53327i | −0.0946544 | + | 0.390171i | ||||
\(598\) | 41.6984 | − | 32.7920i | 1.70517 | − | 1.34096i | ||||
\(599\) | −32.6114 | + | 3.11402i | −1.33247 | + | 0.127235i | −0.736863 | − | 0.676042i | \(-0.763694\pi\) |
−0.595605 | + | 0.803278i | \(0.703088\pi\) | |||||||
\(600\) | 5.71360 | − | 5.44790i | 0.233257 | − | 0.222410i | ||||
\(601\) | −1.59643 | − | 1.84238i | −0.0651199 | − | 0.0751524i | 0.722255 | − | 0.691627i | \(-0.243106\pi\) |
−0.787375 | + | 0.616475i | \(0.788560\pi\) | |||||||
\(602\) | 9.64171 | + | 30.1347i | 0.392967 | + | 1.22820i | ||||
\(603\) | −2.85545 | + | 6.25256i | −0.116283 | + | 0.254624i | ||||
\(604\) | −1.72250 | + | 2.98345i | −0.0700874 | + | 0.121395i | ||||
\(605\) | −4.45715 | + | 0.107886i | −0.181209 | + | 0.00438621i | ||||
\(606\) | −10.7948 | − | 18.6971i | −0.438508 | − | 0.759518i | ||||
\(607\) | 5.36836 | + | 7.53880i | 0.217895 | + | 0.305991i | 0.909026 | − | 0.416738i | \(-0.136827\pi\) |
−0.691132 | + | 0.722729i | \(0.742887\pi\) | |||||||
\(608\) | −24.0634 | −0.975899 | ||||||||
\(609\) | −1.62219 | − | 2.96897i | −0.0657343 | − | 0.120309i | ||||
\(610\) | −9.43410 | − | 2.77010i | −0.381976 | − | 0.112158i | ||||
\(611\) | 17.4198 | + | 24.4627i | 0.704729 | + | 0.989653i | ||||
\(612\) | −21.5253 | + | 16.9277i | −0.870110 | + | 0.684262i | ||||
\(613\) | −9.15330 | − | 8.72766i | −0.369698 | − | 0.352507i | 0.482342 | − | 0.875983i | \(-0.339786\pi\) |
−0.852040 | + | 0.523476i | \(0.824635\pi\) | |||||||
\(614\) | −19.4082 | + | 33.6159i | −0.783250 | + | 1.35663i | ||||
\(615\) | 1.29747 | − | 1.49735i | 0.0523189 | − | 0.0603792i | ||||
\(616\) | −8.87959 | − | 7.14886i | −0.357769 | − | 0.288036i | ||||
\(617\) | −26.9180 | − | 31.0650i | −1.08368 | − | 1.25063i | −0.966265 | − | 0.257549i | \(-0.917085\pi\) |
−0.117413 | − | 0.993083i | \(-0.537460\pi\) | |||||||
\(618\) | −49.1945 | + | 9.48147i | −1.97889 | + | 0.381401i | ||||
\(619\) | 7.40633 | + | 30.5293i | 0.297686 | + | 1.22708i | 0.902493 | + | 0.430705i | \(0.141735\pi\) |
−0.604807 | + | 0.796372i | \(0.706750\pi\) | |||||||
\(620\) | 1.78555 | + | 7.36015i | 0.0717095 | + | 0.295591i | ||||
\(621\) | −19.6452 | − | 15.4492i | −0.788337 | − | 0.619955i | ||||
\(622\) | 21.9698 | + | 14.1192i | 0.880910 | + | 0.566126i | ||||
\(623\) | −20.2629 | − | 2.41735i | −0.811817 | − | 0.0968493i | ||||
\(624\) | 14.0740 | − | 9.04480i | 0.563410 | − | 0.362082i | ||||
\(625\) | −22.4606 | − | 2.14473i | −0.898425 | − | 0.0857892i | ||||
\(626\) | −14.5388 | + | 11.4334i | −0.581086 | + | 0.456971i | ||||
\(627\) | −12.5993 | + | 2.58681i | −0.503168 | + | 0.103307i | ||||
\(628\) | 2.72270 | + | 2.14115i | 0.108647 | + | 0.0854413i | ||||
\(629\) | −60.9288 | + | 17.8903i | −2.42939 | + | 0.713333i | ||||
\(630\) | −3.15800 | + | 0.847070i | −0.125818 | + | 0.0337481i | ||||
\(631\) | 11.3103 | − | 3.32101i | 0.450256 | − | 0.132207i | −0.0487396 | − | 0.998812i | \(-0.515520\pi\) |
0.498996 | + | 0.866604i | \(0.333702\pi\) | |||||||
\(632\) | −4.11629 | + | 7.12962i | −0.163737 | + | 0.283601i | ||||
\(633\) | −22.7192 | − | 4.37877i | −0.903008 | − | 0.174041i | ||||
\(634\) | −48.6043 | − | 25.0573i | −1.93032 | − | 0.995151i | ||||
\(635\) | −0.422621 | − | 1.22108i | −0.0167712 | − | 0.0484573i | ||||
\(636\) | 24.6217 | − | 28.4150i | 0.976314 | − | 1.12673i | ||||
\(637\) | −17.6071 | + | 34.1969i | −0.697618 | + | 1.35493i | ||||
\(638\) | 5.30175 | + | 4.93412i | 0.209898 | + | 0.195344i | ||||
\(639\) | 0.0734536 | + | 1.54198i | 0.00290578 | + | 0.0609999i | ||||
\(640\) | −3.73152 | + | 1.49387i | −0.147501 | + | 0.0590506i | ||||
\(641\) | −14.7738 | + | 42.6860i | −0.583529 | + | 1.68600i | 0.135295 | + | 0.990805i | \(0.456802\pi\) |
−0.718824 | + | 0.695192i | \(0.755319\pi\) | |||||||
\(642\) | −10.5667 | − | 30.5305i | −0.417035 | − | 1.20494i | ||||
\(643\) | 2.81502 | + | 19.5789i | 0.111013 | + | 0.772115i | 0.966937 | + | 0.255014i | \(0.0820799\pi\) |
−0.855924 | + | 0.517102i | \(0.827011\pi\) | |||||||
\(644\) | 31.0015 | + | 0.729861i | 1.22163 | + | 0.0287606i | ||||
\(645\) | 2.83833 | 0.111759 | ||||||||
\(646\) | −28.4184 | − | 39.9081i | −1.11811 | − | 1.57016i | ||||
\(647\) | −2.63651 | − | 10.8678i | −0.103652 | − | 0.427259i | 0.896214 | − | 0.443621i | \(-0.146307\pi\) |
−0.999866 | + | 0.0163627i | \(0.994791\pi\) | |||||||
\(648\) | 2.55648 | + | 2.43760i | 0.100428 | + | 0.0957580i | ||||
\(649\) | 39.7432 | − | 26.2263i | 1.56006 | − | 1.02947i | ||||
\(650\) | 54.7123 | + | 16.0650i | 2.14599 | + | 0.630120i | ||||
\(651\) | 6.16577 | − | 23.0350i | 0.241655 | − | 0.902814i | ||||
\(652\) | 8.70530 | + | 19.0619i | 0.340926 | + | 0.746523i | ||||
\(653\) | 6.22132 | + | 4.89250i | 0.243459 | + | 0.191458i | 0.732431 | − | 0.680841i | \(-0.238386\pi\) |
−0.488972 | + | 0.872299i | \(0.662628\pi\) | |||||||
\(654\) | 9.42386 | + | 8.98563i | 0.368502 | + | 0.351366i | ||||
\(655\) | −5.22770 | − | 2.69507i | −0.204263 | − | 0.105305i | ||||
\(656\) | 8.37673 | − | 4.31851i | 0.327056 | − | 0.168609i | ||||
\(657\) | −0.490023 | + | 3.40818i | −0.0191176 | + | 0.132966i | ||||
\(658\) | −2.20567 | + | 30.9530i | −0.0859859 | + | 1.20667i | ||||
\(659\) | 4.56347 | − | 9.99260i | 0.177767 | − | 0.389256i | −0.799683 | − | 0.600423i | \(-0.794999\pi\) |
0.977450 | + | 0.211167i | \(0.0677262\pi\) | |||||||
\(660\) | −3.67351 | + | 2.42413i | −0.142991 | + | 0.0943591i | ||||
\(661\) | −17.1403 | + | 24.0702i | −0.666680 | + | 0.936221i | −0.999978 | − | 0.00660016i | \(-0.997899\pi\) |
0.333298 | + | 0.942822i | \(0.391838\pi\) | |||||||
\(662\) | −5.14508 | − | 2.65248i | −0.199969 | − | 0.103091i | ||||
\(663\) | 47.4235 | + | 18.9855i | 1.84178 | + | 0.737336i | ||||
\(664\) | 1.39784 | + | 3.06084i | 0.0542466 | + | 0.118784i | ||||
\(665\) | −0.704287 | − | 3.23348i | −0.0273111 | − | 0.125389i | ||||
\(666\) | −10.8723 | − | 23.8069i | −0.421291 | − | 0.922499i | ||||
\(667\) | −4.55697 | − | 0.435138i | −0.176447 | − | 0.0168486i | ||||
\(668\) | −2.44262 | + | 1.92090i | −0.0945077 | + | 0.0743217i | ||||
\(669\) | 0.929757 | + | 0.479323i | 0.0359465 | + | 0.0185317i | ||||
\(670\) | −4.18907 | − | 0.400007i | −0.161838 | − | 0.0154536i | ||||
\(671\) | −33.5291 | − | 16.7751i | −1.29438 | − | 0.647595i | ||||
\(672\) | 25.7432 | + | 3.07115i | 0.993066 | + | 0.118472i | ||||
\(673\) | −2.85444 | − | 19.8530i | −0.110030 | − | 0.765279i | −0.967886 | − | 0.251388i | \(-0.919113\pi\) |
0.857856 | − | 0.513890i | \(-0.171796\pi\) | |||||||
\(674\) | −18.8892 | − | 14.8546i | −0.727584 | − | 0.572179i | ||||
\(675\) | 1.27827 | − | 26.8342i | 0.0492007 | − | 1.03285i | ||||
\(676\) | −39.8135 | − | 20.5253i | −1.53129 | − | 0.789434i | ||||
\(677\) | −1.11911 | + | 4.61304i | −0.0430110 | + | 0.177294i | −0.989266 | − | 0.146129i | \(-0.953318\pi\) |
0.946255 | + | 0.323423i | \(0.104834\pi\) | |||||||
\(678\) | −4.91647 | + | 34.1948i | −0.188816 | + | 1.31324i | ||||
\(679\) | −2.60514 | − | 0.832022i | −0.0999760 | − | 0.0319301i | ||||
\(680\) | −3.27694 | − | 2.10596i | −0.125665 | − | 0.0807600i | ||||
\(681\) | 15.4798 | − | 14.7600i | 0.593188 | − | 0.565604i | ||||
\(682\) | 3.04572 | + | 50.9564i | 0.116627 | + | 1.95122i | ||||
\(683\) | 5.40450 | + | 5.15318i | 0.206797 | + | 0.197181i | 0.786399 | − | 0.617719i | \(-0.211943\pi\) |
−0.579601 | + | 0.814900i | \(0.696792\pi\) | |||||||
\(684\) | 8.26741 | − | 7.88296i | 0.316112 | − | 0.301413i | ||||
\(685\) | 1.34913 | − | 2.95417i | 0.0515474 | − | 0.112873i | ||||
\(686\) | −36.5234 | + | 15.6742i | −1.39447 | + | 0.598442i | ||||
\(687\) | −3.11741 | − | 3.59768i | −0.118937 | − | 0.137260i | ||||
\(688\) | 12.5340 | + | 5.01785i | 0.477854 | + | 0.191304i | ||||
\(689\) | 61.9597 | + | 11.9418i | 2.36048 | + | 0.454945i | ||||
\(690\) | 1.60830 | − | 4.64689i | 0.0612271 | − | 0.176904i | ||||
\(691\) | 5.77564 | + | 4.54201i | 0.219716 | + | 0.172786i | 0.721950 | − | 0.691945i | \(-0.243246\pi\) |
−0.502234 | + | 0.864732i | \(0.667488\pi\) | |||||||
\(692\) | 17.4781 | − | 11.2325i | 0.664417 | − | 0.426995i | ||||
\(693\) | −12.4236 | + | 1.04306i | −0.471933 | + | 0.0396226i | ||||
\(694\) | −35.7135 | − | 22.9517i | −1.35567 | − | 0.871234i | ||||
\(695\) | −1.92026 | − | 5.54824i | −0.0728398 | − | 0.210457i | ||||
\(696\) | 1.63121 | + | 0.314391i | 0.0618310 | + | 0.0119169i | ||||
\(697\) | 25.5775 | + | 13.1861i | 0.968817 | + | 0.499460i | ||||
\(698\) | −20.6347 | − | 59.6200i | −0.781034 | − | 2.25665i | ||||
\(699\) | −27.2266 | −1.02980 | ||||||||
\(700\) | 18.6908 | + | 27.6001i | 0.706446 | + | 1.04318i | ||||
\(701\) | −18.8292 | − | 12.1008i | −0.711171 | − | 0.457042i | 0.134385 | − | 0.990929i | \(-0.457094\pi\) |
−0.845555 | + | 0.533888i | \(0.820731\pi\) | |||||||
\(702\) | −15.4444 | + | 63.6626i | −0.582910 | + | 2.40279i | ||||
\(703\) | 24.5920 | − | 9.84515i | 0.927505 | − | 0.371317i | ||||
\(704\) | −38.6228 | + | 7.92980i | −1.45565 | + | 0.298866i | ||||
\(705\) | 2.58437 | + | 1.03463i | 0.0973330 | + | 0.0389663i | ||||
\(706\) | 11.8617 | + | 25.9735i | 0.446420 | + | 0.977524i | ||||
\(707\) | 19.8433 | − | 7.40708i | 0.746284 | − | 0.278572i | ||||
\(708\) | 19.5269 | − | 42.7579i | 0.733866 | − | 1.60694i | ||||
\(709\) | −36.7689 | + | 18.9557i | −1.38088 | + | 0.711895i | −0.979012 | − | 0.203801i | \(-0.934671\pi\) |
−0.401872 | + | 0.915696i | \(0.631640\pi\) | |||||||
\(710\) | −0.877380 | + | 0.351250i | −0.0329275 | + | 0.0131822i | ||||
\(711\) | 2.12267 | + | 8.74977i | 0.0796064 | + | 0.328142i | ||||
\(712\) | 7.25185 | − | 6.91463i | 0.271775 | − | 0.259137i | ||||
\(713\) | −21.1290 | − | 24.3842i | −0.791287 | − | 0.913194i | ||||
\(714\) | 25.3089 | + | 46.3210i | 0.947163 | + | 1.73352i | ||||
\(715\) | −6.60584 | − | 3.30499i | −0.247045 | − | 0.123600i | ||||
\(716\) | 17.7550 | + | 51.2998i | 0.663537 | + | 1.91716i | ||||
\(717\) | −1.11033 | − | 1.92314i | −0.0414659 | − | 0.0718211i | ||||
\(718\) | 20.0324 | + | 19.1009i | 0.747604 | + | 0.712839i | ||||
\(719\) | 21.7444 | + | 8.70514i | 0.810929 | + | 0.324647i | 0.739806 | − | 0.672821i | \(-0.234917\pi\) |
0.0711231 | + | 0.997468i | \(0.477342\pi\) | |||||||
\(720\) | −0.579588 | + | 1.26912i | −0.0216000 | + | 0.0472974i | ||||
\(721\) | −1.18253 | − | 49.1368i | −0.0440398 | − | 1.82995i | ||||
\(722\) | −13.3179 | − | 15.3696i | −0.495640 | − | 0.571999i | ||||
\(723\) | −13.8171 | + | 23.9320i | −0.513865 | + | 0.890040i | ||||
\(724\) | 7.26323 | − | 0.693554i | 0.269936 | − | 0.0257757i | ||||
\(725\) | −2.46033 | − | 4.26141i | −0.0913742 | − | 0.158265i | ||||
\(726\) | −27.2653 | + | 11.6886i | −1.01191 | + | 0.433805i | ||||
\(727\) | 23.3500 | 0.866004 | 0.433002 | − | 0.901393i | \(-0.357454\pi\) | ||||
0.433002 | + | 0.901393i | \(0.357454\pi\) | |||||||
\(728\) | −7.43914 | − | 17.3595i | −0.275713 | − | 0.643386i | ||||
\(729\) | 24.8073 | 0.918789 | ||||||||
\(730\) | −2.06987 | + | 0.398934i | −0.0766092 | + | 0.0147652i | ||||
\(731\) | 9.71898 | + | 40.0622i | 0.359470 | + | 1.48175i | ||||
\(732\) | −36.8429 | + | 3.51807i | −1.36175 | + | 0.130032i | ||||
\(733\) | 40.7242 | + | 16.3035i | 1.50418 | + | 0.602184i | 0.969983 | − | 0.243173i | \(-0.0781883\pi\) |
0.534201 | + | 0.845358i | \(0.320613\pi\) | |||||||
\(734\) | −1.43827 | + | 0.422313i | −0.0530874 | + | 0.0155879i | ||||
\(735\) | 0.340771 | + | 3.54910i | 0.0125695 | + | 0.130910i | ||||
\(736\) | 22.9718 | − | 26.5109i | 0.846753 | − | 0.977205i | ||||
\(737\) | −15.4494 | − | 4.33400i | −0.569086 | − | 0.159645i | ||||
\(738\) | −3.87910 | + | 11.2079i | −0.142792 | + | 0.412570i | ||||
\(739\) | −13.6739 | + | 39.5080i | −0.503001 | + | 1.45333i | 0.352641 | + | 0.935759i | \(0.385284\pi\) |
−0.855642 | + | 0.517568i | \(0.826837\pi\) | |||||||
\(740\) | 6.56020 | − | 6.25514i | 0.241158 | − | 0.229943i | ||||
\(741\) | −20.4460 | − | 6.00349i | −0.751103 | − | 0.220544i | ||||
\(742\) | 41.5266 | + | 50.2677i | 1.52449 | + | 1.84538i | ||||
\(743\) | −36.3519 | − | 23.3620i | −1.33362 | − | 0.857067i | −0.337188 | − | 0.941437i | \(-0.609476\pi\) |
−0.996434 | + | 0.0843704i | \(0.973112\pi\) | |||||||
\(744\) | 6.79180 | + | 9.53774i | 0.248999 | + | 0.349671i | ||||
\(745\) | −4.75303 | − | 2.45036i | −0.174138 | − | 0.0897742i | ||||
\(746\) | 35.7731 | − | 50.2363i | 1.30975 | − | 1.83928i | ||||
\(747\) | 3.41644 | + | 1.36774i | 0.125001 | + | 0.0500428i | ||||
\(748\) | −46.7947 | − | 43.5499i | −1.71098 | − | 1.59234i | ||||
\(749\) | 31.2553 | − | 5.26424i | 1.14204 | − | 0.192351i | ||||
\(750\) | 10.3156 | − | 3.02892i | 0.376671 | − | 0.110601i | ||||
\(751\) | −0.0128501 | + | 0.00662469i | −0.000468907 | + | 0.000241738i | −0.458461 | − | 0.888715i | \(-0.651599\pi\) |
0.457992 | + | 0.888956i | \(0.348569\pi\) | |||||||
\(752\) | 9.58341 | + | 9.13776i | 0.349471 | + | 0.333220i | ||||
\(753\) | −11.3018 | − | 19.5753i | −0.411861 | − | 0.713363i | ||||
\(754\) | 3.92448 | + | 11.3390i | 0.142921 | + | 0.412943i | ||||
\(755\) | −0.450857 | + | 0.289748i | −0.0164084 | + | 0.0105450i | ||||
\(756\) | −30.6504 | + | 22.9571i | −1.11474 | + | 0.834942i | ||||
\(757\) | −25.1381 | + | 29.0110i | −0.913661 | + | 1.05442i | 0.0846548 | + | 0.996410i | \(0.473021\pi\) |
−0.998316 | + | 0.0580108i | \(0.981524\pi\) | |||||||
\(758\) | −59.9561 | + | 30.9095i | −2.17770 | + | 1.12268i | ||||
\(759\) | 9.17787 | − | 16.3503i | 0.333136 | − | 0.593478i | ||||
\(760\) | 1.44430 | + | 0.744586i | 0.0523901 | + | 0.0270090i | ||||
\(761\) | −1.32458 | − | 1.04166i | −0.0480161 | − | 0.0377603i | 0.593863 | − | 0.804567i | \(-0.297602\pi\) |
−0.641879 | + | 0.766806i | \(0.721845\pi\) | |||||||
\(762\) | −5.63020 | − | 6.49760i | −0.203961 | − | 0.235383i | ||||
\(763\) | −10.2246 | + | 7.65818i | −0.370154 | + | 0.277245i | ||||
\(764\) | 9.07544 | + | 63.1211i | 0.328338 | + | 2.28364i | ||||
\(765\) | −4.18313 | + | 0.806231i | −0.151241 | + | 0.0291494i | ||||
\(766\) | 9.88201 | + | 17.1161i | 0.357051 | + | 0.618431i | ||||
\(767\) | 78.5309 | − | 7.49879i | 2.83559 | − | 0.270766i | ||||
\(768\) | 2.26882 | − | 2.16331i | 0.0818689 | − | 0.0780618i | ||||
\(769\) | 34.9263 | − | 10.2553i | 1.25947 | − | 0.369815i | 0.417175 | − | 0.908826i | \(-0.363020\pi\) |
0.842299 | + | 0.539011i | \(0.181202\pi\) | |||||||
\(770\) | −3.09105 | − | 6.97861i | −0.111394 | − | 0.251492i | ||||
\(771\) | 27.5435 | + | 8.08750i | 0.991955 | + | 0.291264i | ||||
\(772\) | −45.8484 | + | 23.6365i | −1.65012 | + | 0.850696i | ||||
\(773\) | −0.595997 | + | 0.836960i | −0.0214365 | + | 0.0301034i | −0.825155 | − | 0.564906i | \(-0.808912\pi\) |
0.803719 | + | 0.595010i | \(0.202852\pi\) | |||||||
\(774\) | −15.7735 | + | 6.31477i | −0.566968 | + | 0.226980i | ||||
\(775\) | 8.17662 | − | 33.7045i | 0.293713 | − | 1.21070i | ||||
\(776\) | 1.12966 | − | 0.725989i | 0.0405525 | − | 0.0260615i | ||||
\(777\) | −27.5652 | + | 7.39381i | −0.988898 | + | 0.265252i | ||||
\(778\) | 7.62608 | − | 53.0405i | 0.273408 | − | 1.90160i | ||||
\(779\) | −11.1442 | − | 4.46147i | −0.399283 | − | 0.159849i | ||||
\(780\) | −7.25872 | + | 0.693124i | −0.259904 | + | 0.0248178i | ||||
\(781\) | −3.53000 | + | 0.724758i | −0.126313 | + | 0.0259339i | ||||
\(782\) | 71.0966 | + | 6.78890i | 2.54241 | + | 0.242771i | ||||
\(783\) | 4.75564 | − | 3.05626i | 0.169953 | − | 0.109222i | ||||
\(784\) | −4.76958 | + | 16.2752i | −0.170342 | + | 0.581256i | ||||
\(785\) | 0.223848 | + | 0.490158i | 0.00798946 | + | 0.0174945i | ||||
\(786\) | −38.9565 | − | 3.71990i | −1.38953 | − | 0.132684i | ||||
\(787\) | 24.1514 | − | 33.9159i | 0.860904 | − | 1.20897i | −0.115563 | − | 0.993300i | \(-0.536867\pi\) |
0.976466 | − | 0.215670i | \(-0.0691935\pi\) | |||||||
\(788\) | 21.5441 | − | 30.2544i | 0.767476 | − | 1.07777i | ||||
\(789\) | −2.37806 | − | 0.952032i | −0.0846612 | − | 0.0338932i | ||||
\(790\) | −4.63700 | + | 2.98002i | −0.164977 | + | 0.106024i | ||||
\(791\) | −32.2855 | − | 10.3113i | −1.14794 | − | 0.366626i | ||||
\(792\) | 3.49033 | − | 5.02919i | 0.124024 | − | 0.178704i | ||||
\(793\) | −36.0293 | − | 50.5961i | −1.27944 | − | 1.79672i | ||||
\(794\) | 47.0641 | − | 37.0116i | 1.67024 | − | 1.31349i | ||||
\(795\) | 5.43016 | − | 2.17391i | 0.192588 | − | 0.0771005i | ||||
\(796\) | 18.0771 | − | 9.31938i | 0.640725 | − | 0.330317i | ||||
\(797\) | 2.56367 | − | 1.64757i | 0.0908097 | − | 0.0583599i | −0.494448 | − | 0.869207i | \(-0.664630\pi\) |
0.585258 | + | 0.810847i | \(0.300993\pi\) | |||||||
\(798\) | −12.3466 | − | 18.2318i | −0.437064 | − | 0.645398i | ||||
\(799\) | −5.75406 | + | 40.0204i | −0.203564 | + | 1.41582i | ||||
\(800\) | 37.5363 | + | 3.58428i | 1.32711 | + | 0.126724i | ||||
\(801\) | 0.521424 | − | 10.9460i | 0.0184236 | − | 0.386759i | ||||
\(802\) | −8.97283 | − | 36.9865i | −0.316842 | − | 1.30604i | ||||
\(803\) | −8.03718 | + | 0.0972568i | −0.283626 | + | 0.00343212i | ||||
\(804\) | −15.1983 | + | 4.46264i | −0.536004 | + | 0.157385i | ||||
\(805\) | 4.23471 | + | 2.31089i | 0.149254 | + | 0.0814481i | ||||
\(806\) | −35.1325 | + | 76.9294i | −1.23749 | + | 2.70972i | ||||
\(807\) | 0.544209 | − | 0.942597i | 0.0191571 | − | 0.0331810i | ||||
\(808\) | −3.40155 | + | 9.82813i | −0.119666 | + | 0.345753i | ||||
\(809\) | 35.5196 | − | 27.9329i | 1.24880 | − | 0.982069i | 0.248894 | − | 0.968531i | \(-0.419933\pi\) |
0.999908 | − | 0.0135383i | \(-0.00430951\pi\) | |||||||
\(810\) | 0.773529 | + | 2.23497i | 0.0271791 | + | 0.0785287i | ||||
\(811\) | 18.0488 | + | 20.8295i | 0.633780 | + | 0.731421i | 0.978262 | − | 0.207372i | \(-0.0664910\pi\) |
−0.344482 | + | 0.938793i | \(0.611946\pi\) | |||||||
\(812\) | −2.44950 | + | 6.57261i | −0.0859605 | + | 0.230653i | ||||
\(813\) | −17.2608 | + | 11.0929i | −0.605364 | + | 0.389044i | ||||
\(814\) | 50.9931 | − | 33.6500i | 1.78731 | − | 1.17943i | ||||
\(815\) | −0.155119 | + | 3.25636i | −0.00543360 | + | 0.114065i | ||||
\(816\) | 22.1168 | + | 4.26267i | 0.774244 | + | 0.149223i | ||||
\(817\) | −5.62449 | − | 16.2509i | −0.196776 | − | 0.568547i | ||||
\(818\) | −19.9040 | + | 12.7915i | −0.695926 | + | 0.447244i | ||||
\(819\) | −18.9895 | − | 8.12590i | −0.663546 | − | 0.283942i | ||||
\(820\) | −4.10765 | −0.143446 | ||||||||
\(821\) | −0.863889 | + | 3.56100i | −0.0301499 | + | 0.124280i | −0.984898 | − | 0.173137i | \(-0.944610\pi\) |
0.954748 | + | 0.297416i | \(0.0961249\pi\) | |||||||
\(822\) | 1.02819 | − | 21.5844i | 0.0358623 | − | 0.752842i | ||||
\(823\) | 0.0469377 | + | 0.0447550i | 0.00163614 | + | 0.00156006i | 0.690897 | − | 0.722954i | \(-0.257216\pi\) |
−0.689260 | + | 0.724514i | \(0.742064\pi\) | |||||||
\(824\) | 18.9707 | + | 14.9187i | 0.660876 | + | 0.519719i | ||||
\(825\) | 20.0389 | − | 2.15846i | 0.697665 | − | 0.0751481i | ||||
\(826\) | 67.5193 | + | 45.6726i | 2.34930 | + | 1.58915i | ||||
\(827\) | 21.6239 | + | 47.3498i | 0.751938 | + | 1.64652i | 0.762850 | + | 0.646575i | \(0.223799\pi\) |
−0.0109120 | + | 0.999940i | \(0.503473\pi\) | |||||||
\(828\) | 0.792360 | + | 16.6337i | 0.0275364 | + | 0.578061i | ||||
\(829\) | −20.6160 | + | 1.96859i | −0.716025 | + | 0.0683721i | −0.446708 | − | 0.894680i | \(-0.647404\pi\) |
−0.269316 | + | 0.963052i | \(0.586798\pi\) | |||||||
\(830\) | −0.107199 | + | 2.25039i | −0.00372094 | + | 0.0781122i | ||||
\(831\) | 31.4758 | + | 24.7528i | 1.09188 | + | 0.858666i | ||||
\(832\) | −62.6766 | − | 18.4035i | −2.17292 | − | 0.638027i | ||||
\(833\) | −48.9276 | + | 16.9627i | −1.69524 | + | 0.587722i | ||||
\(834\) | −25.5820 | − | 29.5231i | −0.885831 | − | 1.02230i | ||||
\(835\) | −0.474686 | + | 0.0914883i | −0.0164272 | + | 0.00316608i | ||||
\(836\) | 21.1589 | + | 16.2291i | 0.731796 | + | 0.561294i | ||||
\(837\) | 39.1241 | + | 7.54056i | 1.35233 | + | 0.260640i | ||||
\(838\) | −8.32690 | + | 14.4226i | −0.287648 | + | 0.498221i | ||||
\(839\) | −31.7504 | + | 9.32274i | −1.09614 | + | 0.321857i | −0.779319 | − | 0.626627i | \(-0.784435\pi\) |
−0.316825 | + | 0.948484i | \(0.602617\pi\) | |||||||
\(840\) | −1.45009 | − | 0.980897i | −0.0500329 | − | 0.0338442i | ||||
\(841\) | −11.6169 | + | 25.4375i | −0.400583 | + | 0.877154i | ||||
\(842\) | 41.4470 | − | 39.5197i | 1.42836 | − | 1.36194i | ||||
\(843\) | 8.33410 | − | 24.0798i | 0.287042 | − | 0.829352i | ||||
\(844\) | 23.9845 | + | 41.5424i | 0.825581 | + | 1.42995i | ||||
\(845\) | −4.04206 | − | 5.67628i | −0.139051 | − | 0.195270i | ||||
\(846\) | −16.6641 | −0.572922 | ||||||||
\(847\) | −6.88008 | − | 28.2783i | −0.236402 | − | 0.971655i | ||||
\(848\) | 27.8227 | 0.955434 | ||||||||
\(849\) | 20.8268 | + | 29.2471i | 0.714774 | + | 1.00376i | ||||
\(850\) | 38.3854 | + | 66.4854i | 1.31661 | + | 2.28043i | ||||
\(851\) | −12.6300 | + | 36.4918i | −0.432949 | + | 1.25092i | ||||
\(852\) | −2.57462 | + | 2.45489i | −0.0882050 | + | 0.0841033i | ||||
\(853\) | 12.8290 | − | 28.0916i | 0.439256 | − | 0.961837i | −0.552478 | − | 0.833528i | \(-0.686318\pi\) |
0.991734 | − | 0.128310i | \(-0.0409552\pi\) | |||||||
\(854\) | 4.56198 | − | 64.0201i | 0.156108 | − | 2.19072i | ||||
\(855\) | 1.70512 | − | 0.500669i | 0.0583140 | − | 0.0171225i | ||||
\(856\) | −7.78156 | + | 13.4781i | −0.265968 | + | 0.460671i | ||||
\(857\) | −18.1977 | − | 3.50733i | −0.621623 | − | 0.119808i | −0.131291 | − | 0.991344i | \(-0.541912\pi\) |
−0.490332 | + | 0.871536i | \(0.663124\pi\) | |||||||
\(858\) | −48.9777 | − | 4.07942i | −1.67207 | − | 0.139269i | ||||
\(859\) | 47.2266 | − | 9.10219i | 1.61135 | − | 0.310563i | 0.697492 | − | 0.716592i | \(-0.254299\pi\) |
0.913860 | + | 0.406029i | \(0.133087\pi\) | |||||||
\(860\) | −3.85353 | − | 4.44721i | −0.131404 | − | 0.151649i | ||||
\(861\) | 11.3528 | + | 6.19523i | 0.386902 | + | 0.211133i | ||||
\(862\) | 4.59393 | + | 1.34890i | 0.156470 | + | 0.0459437i | ||||
\(863\) | −20.1546 | − | 15.8497i | −0.686070 | − | 0.539531i | 0.213155 | − | 0.977018i | \(-0.431626\pi\) |
−0.899225 | + | 0.437487i | \(0.855869\pi\) | |||||||
\(864\) | −2.06122 | + | 43.2702i | −0.0701240 | + | 1.47208i | ||||
\(865\) | 3.21750 | − | 0.307234i | 0.109398 | − | 0.0104463i | ||||
\(866\) | 1.56058 | + | 32.7607i | 0.0530308 | + | 1.11325i | ||||
\(867\) | 19.6952 | + | 43.1265i | 0.668884 | + | 1.46465i | ||||
\(868\) | −44.4634 | + | 21.6133i | −1.50919 | + | 0.733605i | ||||
\(869\) | −19.4161 | + | 8.04699i | −0.658647 | + | 0.272975i | ||||
\(870\) | 0.874295 | + | 0.687553i | 0.0296414 | + | 0.0233102i | ||||
\(871\) | −19.2395 | − | 18.3448i | −0.651906 | − | 0.621591i | ||||
\(872\) | 0.298460 | − | 6.26546i | 0.0101071 | − | 0.212175i | ||||
\(873\) | 0.346233 | − | 1.42719i | 0.0117182 | − | 0.0483031i | ||||
\(874\) | −29.7929 | −1.00776 | ||||||||
\(875\) | 1.25492 | + | 10.4725i | 0.0424240 | + | 0.354035i | ||||
\(876\) | −6.67506 | + | 4.28980i | −0.225529 | + | 0.144939i | ||||
\(877\) | 0.976754 | + | 2.82214i | 0.0329826 | + | 0.0952970i | 0.960290 | − | 0.279003i | \(-0.0900041\pi\) |
−0.927307 | + | 0.374300i | \(0.877883\pi\) | |||||||
\(878\) | 22.6182 | + | 4.35931i | 0.763328 | + | 0.147119i | ||||
\(879\) | 0.583435 | − | 12.2478i | 0.0196788 | − | 0.413109i | ||||
\(880\) | −3.13586 | − | 0.879700i | −0.105710 | − | 0.0296547i | ||||
\(881\) | −26.6093 | + | 17.1007i | −0.896489 | + | 0.576139i | −0.905747 | − | 0.423819i | \(-0.860689\pi\) |
0.00925799 | + | 0.999957i | \(0.497053\pi\) | |||||||
\(882\) | −9.78989 | − | 18.9654i | −0.329643 | − | 0.638597i | ||||
\(883\) | −33.7371 | − | 38.9347i | −1.13535 | − | 1.31026i | −0.944453 | − | 0.328647i | \(-0.893407\pi\) |
−0.190893 | − | 0.981611i | \(-0.561138\pi\) | |||||||
\(884\) | −34.6385 | − | 100.081i | −1.16502 | − | 3.36610i | ||||
\(885\) | 5.74812 | − | 4.52037i | 0.193221 | − | 0.151951i | ||||
\(886\) | −3.21764 | + | 9.29675i | −0.108099 | + | 0.312331i | ||||
\(887\) | −12.0415 | + | 20.8565i | −0.404314 | + | 0.700292i | −0.994241 | − | 0.107164i | \(-0.965823\pi\) |
0.589928 | + | 0.807456i | \(0.299156\pi\) | |||||||
\(888\) | 5.82143 | − | 12.7472i | 0.195354 | − | 0.427767i | ||||
\(889\) | 7.20111 | − | 4.39189i | 0.241517 | − | 0.147299i | ||||
\(890\) | 6.43705 | − | 1.89009i | 0.215770 | − | 0.0633559i | ||||
\(891\) | 1.39131 | + | 8.91006i | 0.0466107 | + | 0.298498i | ||||
\(892\) | −0.511286 | − | 2.10755i | −0.0171191 | − | 0.0705659i | ||||
\(893\) | 0.802526 | − | 16.8471i | 0.0268555 | − | 0.563767i | ||||
\(894\) | −35.4193 | − | 3.38213i | −1.18460 | − | 0.113116i | ||||
\(895\) | −1.20187 | + | 8.35918i | −0.0401740 | + | 0.279416i | ||||
\(896\) | −14.7120 | − | 21.7247i | −0.491494 | − | 0.725773i | ||||
\(897\) | 26.1327 | − | 16.7944i | 0.872544 | − | 0.560750i | ||||
\(898\) | −11.0497 | + | 5.69654i | −0.368735 | + | 0.190096i | ||||
\(899\) | 6.77527 | − | 2.71241i | 0.225968 | − | 0.0904638i | ||||
\(900\) | −14.0705 | + | 11.0651i | −0.469016 | + | 0.368838i | ||||
\(901\) | 49.2780 | + | 69.2012i | 1.64169 | + | 2.30543i | ||||
\(902\) | −27.2472 | − | 4.91031i | −0.907234 | − | 0.163495i | ||||
\(903\) | 3.94307 | + | 18.1032i | 0.131217 | + | 0.602437i | ||||
\(904\) | 13.9999 | − | 8.99719i | 0.465630 | − | 0.299242i | ||||
\(905\) | 1.05377 | + | 0.421864i | 0.0350283 | + | 0.0140232i | ||||
\(906\) | −2.06845 | + | 2.90472i | −0.0687195 | + | 0.0965030i | ||||
\(907\) | 31.3095 | − | 43.9680i | 1.03961 | − | 1.45993i | 0.158306 | − | 0.987390i | \(-0.449397\pi\) |
0.881308 | − | 0.472543i | \(-0.156664\pi\) | |||||||
\(908\) | −44.1432 | − | 4.21516i | −1.46494 | − | 0.139885i | ||||
\(909\) | 4.72498 | + | 10.3463i | 0.156718 | + | 0.343164i | ||||
\(910\) | 0.898793 | − | 12.6131i | 0.0297947 | − | 0.418121i | ||||
\(911\) | 14.2293 | − | 9.14463i | 0.471439 | − | 0.302975i | −0.283264 | − | 0.959042i | \(-0.591417\pi\) |
0.754703 | + | 0.656067i | \(0.227781\pi\) | |||||||
\(912\) | −9.35329 | − | 0.893131i | −0.309718 | − | 0.0295745i | ||||
\(913\) | −1.92414 | + | 8.37233i | −0.0636799 | + | 0.277084i | ||||
\(914\) | 4.57904 | − | 0.437245i | 0.151461 | − | 0.0144628i | ||||
\(915\) | −5.34525 | − | 2.13992i | −0.176709 | − | 0.0707434i | ||||
\(916\) | −1.40457 | + | 9.76897i | −0.0464082 | + | 0.322776i | ||||
\(917\) | 9.92703 | − | 37.0870i | 0.327820 | − | 1.22472i | ||||
\(918\) | −74.1962 | + | 47.6830i | −2.44884 | + | 1.57377i | ||||
\(919\) | 4.28376 | − | 17.6579i | 0.141308 | − | 0.582481i | −0.856490 | − | 0.516163i | \(-0.827360\pi\) |
0.997799 | − | 0.0663176i | \(-0.0211250\pi\) | |||||||
\(920\) | −2.19910 | + | 0.880387i | −0.0725022 | + | 0.0290255i | ||||
\(921\) | −13.1848 | + | 18.5155i | −0.434455 | + | 0.610106i | ||||
\(922\) | −52.3367 | + | 26.9815i | −1.72362 | + | 0.888587i | ||||
\(923\) | −5.72844 | − | 1.68202i | −0.188554 | − | 0.0553644i | ||||
\(924\) | −20.5647 | − | 20.0625i | −0.676529 | − | 0.660007i | ||||
\(925\) | −39.8273 | + | 11.6944i | −1.30951 | + | 0.384508i | ||||
\(926\) | −10.2203 | + | 9.74508i | −0.335861 | + | 0.320243i | ||||
\(927\) | 26.2748 | − | 2.50894i | 0.862978 | − | 0.0824044i | ||||
\(928\) | 3.96728 | + | 6.87153i | 0.130232 | + | 0.225569i | ||||
\(929\) | −4.38261 | + | 0.844680i | −0.143789 | + | 0.0277130i | −0.260638 | − | 0.965437i | \(-0.583933\pi\) |
0.116849 | + | 0.993150i | \(0.462721\pi\) | |||||||
\(930\) | 1.11568 | + | 7.75972i | 0.0365846 | + | 0.254451i | ||||
\(931\) | 19.6451 | − | 8.98406i | 0.643844 | − | 0.294441i | ||||
\(932\) | 36.9649 | + | 42.6597i | 1.21082 | + | 1.39737i | ||||
\(933\) | 12.0210 | + | 9.45343i | 0.393550 | + | 0.309491i | ||||
\(934\) | −3.51792 | − | 1.81361i | −0.115110 | − | 0.0593433i | ||||
\(935\) | −3.36606 | − | 9.35767i | −0.110082 | − | 0.306029i | ||||
\(936\) | 9.01461 | − | 4.64735i | 0.294652 | − | 0.151903i | ||||
\(937\) | 26.8836 | − | 31.0253i | 0.878248 | − | 1.01355i | −0.121532 | − | 0.992587i | \(-0.538781\pi\) |
0.999780 | − | 0.0209646i | \(-0.00667371\pi\) | |||||||
\(938\) | −3.26825 | − | 27.2741i | −0.106712 | − | 0.890530i | ||||
\(939\) | −9.11154 | + | 5.85563i | −0.297344 | + | 0.191091i | ||||
\(940\) | −1.88764 | − | 5.45398i | −0.0615681 | − | 0.177889i | ||||
\(941\) | −14.3050 | − | 24.7769i | −0.466329 | − | 0.807705i | 0.532932 | − | 0.846158i | \(-0.321090\pi\) |
−0.999260 | + | 0.0384531i | \(0.987757\pi\) | |||||||
\(942\) | 2.59484 | + | 2.47418i | 0.0845445 | + | 0.0806131i | ||||
\(943\) | 15.5540 | − | 8.01862i | 0.506507 | − | 0.261122i | ||||
\(944\) | 33.3751 | − | 9.79981i | 1.08627 | − | 0.318957i | ||||
\(945\) | −5.87471 | + | 0.989461i | −0.191104 | + | 0.0321872i | ||||
\(946\) | −20.2453 | − | 34.1061i | −0.658233 | − | 1.10889i | ||||
\(947\) | −27.7451 | − | 11.1075i | −0.901594 | − | 0.360944i | −0.125893 | − | 0.992044i | \(-0.540180\pi\) |
−0.775702 | + | 0.631100i | \(0.782604\pi\) | |||||||
\(948\) | −12.0350 | + | 16.9008i | −0.390880 | + | 0.548914i | ||||
\(949\) | −11.8361 | − | 6.10196i | −0.384218 | − | 0.198078i | ||||
\(950\) | −18.5763 | − | 26.0868i | −0.602695 | − | 0.846366i | ||||
\(951\) | −26.9383 | − | 17.3122i | −0.873533 | − | 0.561386i | ||||
\(952\) | 8.87969 | − | 23.8264i | 0.287792 | − | 0.772218i | ||||
\(953\) | 11.3402 | + | 3.32979i | 0.367346 | + | 0.107863i | 0.460195 | − | 0.887818i | \(-0.347779\pi\) |
−0.0928494 | + | 0.995680i | \(0.529597\pi\) | |||||||
\(954\) | −25.3406 | + | 24.1623i | −0.820434 | + | 0.782282i | ||||
\(955\) | −3.24473 | + | 9.37503i | −0.104997 | + | 0.303369i | ||||
\(956\) | −1.50580 | + | 4.35071i | −0.0487009 | + | 0.140712i | ||||
\(957\) | 2.81591 | + | 3.17137i | 0.0910256 | + | 0.102516i | ||||
\(958\) | 53.5078 | − | 61.7513i | 1.72876 | − | 1.99509i | ||||
\(959\) | 20.7163 | + | 4.50088i | 0.668964 | + | 0.145341i | ||||
\(960\) | −5.80989 | + | 1.70594i | −0.187513 | + | 0.0550589i | ||||
\(961\) | 18.9745 | + | 7.59626i | 0.612082 | + | 0.245041i | ||||
\(962\) | 100.760 | − | 9.62144i | 3.24864 | − | 0.310208i | ||||
\(963\) | 4.01277 | + | 16.5408i | 0.129310 | + | 0.533021i | ||||
\(964\) | 56.2568 | − | 10.8426i | 1.81191 | − | 0.349217i | ||||
\(965\) | −8.02465 | −0.258322 | ||||||||
\(966\) | 31.8727 | + | 3.80239i | 1.02549 | + | 0.122340i | ||||
\(967\) | −37.9262 | −1.21962 | −0.609812 | − | 0.792546i | \(-0.708755\pi\) | ||||
−0.609812 | + | 0.792546i | \(0.708755\pi\) | |||||||
\(968\) | 12.8564 | + | 6.23891i | 0.413222 | + | 0.200526i | ||||
\(969\) | −14.3446 | − | 24.8456i | −0.460816 | − | 0.798156i | ||||
\(970\) | 0.895005 | − | 0.0854626i | 0.0287369 | − | 0.00274404i | ||||
\(971\) | 14.2714 | − | 24.7188i | 0.457991 | − | 0.793264i | −0.540864 | − | 0.841110i | \(-0.681903\pi\) |
0.998855 | + | 0.0478466i | \(0.0152359\pi\) | |||||||
\(972\) | −22.6056 | − | 26.0882i | −0.725074 | − | 0.836779i | ||||
\(973\) | 32.7197 | − | 19.9554i | 1.04894 | − | 0.639741i | ||||
\(974\) | 0.531738 | − | 1.16434i | 0.0170380 | − | 0.0373080i | ||||
\(975\) | 30.9994 | + | 12.4103i | 0.992774 | + | 0.397447i | ||||
\(976\) | −19.8214 | − | 18.8996i | −0.634466 | − | 0.604962i | ||||
\(977\) | −16.8128 | − | 29.1207i | −0.537890 | − | 0.931653i | −0.999017 | − | 0.0443188i | \(-0.985888\pi\) |
0.461128 | − | 0.887334i | \(-0.347445\pi\) | |||||||
\(978\) | 7.09454 | + | 20.4983i | 0.226858 | + | 0.655464i | ||||
\(979\) | 25.4339 | − | 2.73958i | 0.812871 | − | 0.0875574i | ||||
\(980\) | 5.09822 | − | 5.35246i | 0.162857 | − | 0.170978i | ||||
\(981\) | −4.49234 | − | 5.18444i | −0.143429 | − | 0.165526i | ||||
\(982\) | −53.0771 | + | 50.6090i | −1.69376 | + | 1.61500i | ||||
\(983\) | 7.50816 | + | 30.9490i | 0.239473 | + | 0.987121i | 0.956884 | + | 0.290471i | \(0.0938120\pi\) |
−0.717411 | + | 0.696650i | \(0.754673\pi\) | |||||||
\(984\) | −5.89554 | + | 2.36022i | −0.187943 | + | 0.0752410i | ||||
\(985\) | 5.13573 | − | 2.64765i | 0.163638 | − | 0.0843612i | ||||
\(986\) | −6.71086 | + | 14.6947i | −0.213717 | + | 0.467976i | ||||
\(987\) | −3.00870 | + | 17.9207i | −0.0957681 | + | 0.570424i | ||||
\(988\) | 18.3525 | + | 40.1864i | 0.583872 | + | 1.27850i | ||||
\(989\) | 23.2732 | + | 9.31717i | 0.740044 | + | 0.296269i | ||||
\(990\) | 3.62008 | − | 1.92208i | 0.115054 | − | 0.0610877i | ||||
\(991\) | −23.8929 | + | 9.56529i | −0.758985 | + | 0.303852i | −0.718685 | − | 0.695336i | \(-0.755256\pi\) |
−0.0402998 | + | 0.999188i | \(0.512831\pi\) | |||||||
\(992\) | −13.1848 | + | 54.3486i | −0.418618 | + | 1.72557i | ||||
\(993\) | −2.85159 | − | 1.83261i | −0.0904925 | − | 0.0581560i | ||||
\(994\) | −3.45919 | − | 5.10807i | −0.109719 | − | 0.162018i | ||||
\(995\) | 3.16395 | 0.100304 | ||||||||
\(996\) | 2.77367 | + | 8.01398i | 0.0878870 | + | 0.253933i | ||||
\(997\) | −38.4897 | − | 19.8428i | −1.21898 | − | 0.628429i | −0.275963 | − | 0.961168i | \(-0.588997\pi\) |
−0.943019 | + | 0.332739i | \(0.892027\pi\) | |||||||
\(998\) | 30.8691 | + | 5.94954i | 0.977145 | + | 0.188329i | ||||
\(999\) | −15.5968 | − | 45.0641i | −0.493462 | − | 1.42576i |
(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 | 847.2.u.a.23.14 | ✓ | 1720 | |
7.4 | even | 3 | inner | 847.2.u.a.144.73 | yes | 1720 | |
121.100 | even | 11 | inner | 847.2.u.a.100.73 | yes | 1720 | |
847.221 | even | 33 | inner | 847.2.u.a.221.14 | yes | 1720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
847.2.u.a.23.14 | ✓ | 1720 | 1.1 | even | 1 | trivial | |
847.2.u.a.100.73 | yes | 1720 | 121.100 | even | 11 | inner | |
847.2.u.a.144.73 | yes | 1720 | 7.4 | even | 3 | inner | |
847.2.u.a.221.14 | yes | 1720 | 847.221 | even | 33 | inner |