Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 691.2 | ||
Character | \(\chi\) | \(=\) | 930.691 |
Dual form | 930.2.bg.i.751.2 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | + | 0.951057i | −0.218508 | + | 0.672499i | ||||
\(3\) | −0.978148 | − | 0.207912i | −0.564734 | − | 0.120038i | ||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.500000 | + | 0.866025i | 0.223607 | + | 0.387298i | ||||
\(6\) | 0.500000 | − | 0.866025i | 0.204124 | − | 0.353553i | ||||
\(7\) | −0.381451 | + | 0.169833i | −0.144175 | + | 0.0641909i | −0.477556 | − | 0.878601i | \(-0.658477\pi\) |
0.333381 | + | 0.942792i | \(0.391811\pi\) | |||||||
\(8\) | 0.809017 | − | 0.587785i | 0.286031 | − | 0.207813i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | −0.978148 | + | 0.207912i | −0.309317 | + | 0.0657474i | ||||
\(11\) | −0.275944 | + | 2.62543i | −0.0832003 | + | 0.791598i | 0.870769 | + | 0.491693i | \(0.163622\pi\) |
−0.953969 | + | 0.299905i | \(0.903045\pi\) | |||||||
\(12\) | 0.669131 | + | 0.743145i | 0.193161 | + | 0.214527i | ||||
\(13\) | −1.91862 | + | 2.13084i | −0.532129 | + | 0.590990i | −0.947935 | − | 0.318464i | \(-0.896833\pi\) |
0.415806 | + | 0.909454i | \(0.363500\pi\) | |||||||
\(14\) | −0.0436459 | − | 0.415263i | −0.0116649 | − | 0.110984i | ||||
\(15\) | −0.309017 | − | 0.951057i | −0.0797878 | − | 0.245562i | ||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | −0.588175 | − | 5.59612i | −0.142653 | − | 1.35726i | −0.798332 | − | 0.602217i | \(-0.794284\pi\) |
0.655679 | − | 0.755040i | \(-0.272383\pi\) | |||||||
\(18\) | −0.669131 | + | 0.743145i | −0.157716 | + | 0.175161i | ||||
\(19\) | 1.98000 | + | 2.19901i | 0.454243 | + | 0.504487i | 0.926147 | − | 0.377162i | \(-0.123100\pi\) |
−0.471905 | + | 0.881650i | \(0.656433\pi\) | |||||||
\(20\) | 0.104528 | − | 0.994522i | 0.0233733 | − | 0.222382i | ||||
\(21\) | 0.408426 | − | 0.0868137i | 0.0891259 | − | 0.0189443i | ||||
\(22\) | −2.41166 | − | 1.07374i | −0.514168 | − | 0.228922i | ||||
\(23\) | 2.85192 | − | 2.07204i | 0.594667 | − | 0.432051i | −0.249315 | − | 0.968422i | \(-0.580206\pi\) |
0.843982 | + | 0.536372i | \(0.180206\pi\) | |||||||
\(24\) | −0.913545 | + | 0.406737i | −0.186477 | + | 0.0830248i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −1.43367 | − | 2.48318i | −0.281165 | − | 0.486992i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 0.408426 | + | 0.0868137i | 0.0771853 | + | 0.0164062i | ||||
\(29\) | −2.59211 | + | 7.97770i | −0.481343 | + | 1.48142i | 0.355864 | + | 0.934538i | \(0.384186\pi\) |
−0.837208 | + | 0.546885i | \(0.815814\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | −5.56703 | − | 0.0902791i | −0.999869 | − | 0.0162146i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 0.815772 | − | 2.51069i | 0.142008 | − | 0.437055i | ||||
\(34\) | 5.50398 | + | 1.16991i | 0.943924 | + | 0.200637i | ||||
\(35\) | −0.337806 | − | 0.245430i | −0.0570996 | − | 0.0414853i | ||||
\(36\) | −0.500000 | − | 0.866025i | −0.0833333 | − | 0.144338i | ||||
\(37\) | −3.43434 | + | 5.94846i | −0.564603 | + | 0.977921i | 0.432484 | + | 0.901642i | \(0.357637\pi\) |
−0.997087 | + | 0.0762790i | \(0.975696\pi\) | |||||||
\(38\) | −2.70324 | + | 1.20356i | −0.438523 | + | 0.195243i | ||||
\(39\) | 2.31972 | − | 1.68538i | 0.371453 | − | 0.269876i | ||||
\(40\) | 0.913545 | + | 0.406737i | 0.144444 | + | 0.0643107i | ||||
\(41\) | −10.6869 | + | 2.27157i | −1.66902 | + | 0.354760i | −0.942968 | − | 0.332884i | \(-0.891978\pi\) |
−0.726048 | + | 0.687645i | \(0.758645\pi\) | |||||||
\(42\) | −0.0436459 | + | 0.415263i | −0.00673471 | + | 0.0640765i | ||||
\(43\) | 6.56729 | + | 7.29372i | 1.00150 | + | 1.11228i | 0.993673 | + | 0.112312i | \(0.0358256\pi\) |
0.00782959 | + | 0.999969i | \(0.497508\pi\) | |||||||
\(44\) | 1.76643 | − | 1.96182i | 0.266300 | − | 0.295756i | ||||
\(45\) | 0.104528 | + | 0.994522i | 0.0155822 | + | 0.148255i | ||||
\(46\) | 1.08934 | + | 3.35263i | 0.160614 | + | 0.494319i | ||||
\(47\) | −3.01457 | − | 9.27790i | −0.439720 | − | 1.35332i | −0.888171 | − | 0.459513i | \(-0.848024\pi\) |
0.448451 | − | 0.893808i | \(-0.351976\pi\) | |||||||
\(48\) | −0.104528 | − | 0.994522i | −0.0150874 | − | 0.143547i | ||||
\(49\) | −4.56725 | + | 5.07245i | −0.652465 | + | 0.724635i | ||||
\(50\) | −0.669131 | − | 0.743145i | −0.0946294 | − | 0.105097i | ||||
\(51\) | −0.588175 | + | 5.59612i | −0.0823610 | + | 0.783613i | ||||
\(52\) | 2.80467 | − | 0.596152i | 0.388938 | − | 0.0826714i | ||||
\(53\) | −3.06996 | − | 1.36683i | −0.421692 | − | 0.187749i | 0.184909 | − | 0.982756i | \(-0.440801\pi\) |
−0.606601 | + | 0.795006i | \(0.707467\pi\) | |||||||
\(54\) | 0.809017 | − | 0.587785i | 0.110093 | − | 0.0799874i | ||||
\(55\) | −2.41166 | + | 1.07374i | −0.325189 | + | 0.144783i | ||||
\(56\) | −0.208775 | + | 0.361609i | −0.0278988 | + | 0.0483221i | ||||
\(57\) | −1.47953 | − | 2.56262i | −0.195969 | − | 0.339427i | ||||
\(58\) | −6.78624 | − | 4.93049i | −0.891077 | − | 0.647405i | ||||
\(59\) | −1.66800 | − | 0.354544i | −0.217155 | − | 0.0461577i | 0.0980493 | − | 0.995182i | \(-0.468740\pi\) |
−0.315204 | + | 0.949024i | \(0.602073\pi\) | |||||||
\(60\) | −0.309017 | + | 0.951057i | −0.0398939 | + | 0.122781i | ||||
\(61\) | −9.40663 | −1.20440 | −0.602198 | − | 0.798347i | \(-0.705708\pi\) | ||||
−0.602198 | + | 0.798347i | \(0.705708\pi\) | |||||||
\(62\) | 1.80617 | − | 5.26666i | 0.229384 | − | 0.668867i | ||||
\(63\) | −0.417551 | −0.0526064 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −2.80467 | − | 0.596152i | −0.347877 | − | 0.0739435i | ||||
\(66\) | 2.13572 | + | 1.55169i | 0.262889 | + | 0.191000i | ||||
\(67\) | −0.288536 | − | 0.499759i | −0.0352503 | − | 0.0610552i | 0.847862 | − | 0.530217i | \(-0.177889\pi\) |
−0.883112 | + | 0.469162i | \(0.844556\pi\) | |||||||
\(68\) | −2.81347 | + | 4.87307i | −0.341183 | + | 0.590947i | ||||
\(69\) | −3.22040 | + | 1.43381i | −0.387691 | + | 0.172611i | ||||
\(70\) | 0.337806 | − | 0.245430i | 0.0403755 | − | 0.0293345i | ||||
\(71\) | −2.53210 | − | 1.12736i | −0.300505 | − | 0.133793i | 0.250945 | − | 0.968001i | \(-0.419259\pi\) |
−0.551450 | + | 0.834208i | \(0.685925\pi\) | |||||||
\(72\) | 0.978148 | − | 0.207912i | 0.115276 | − | 0.0245026i | ||||
\(73\) | 0.450994 | − | 4.29092i | 0.0527848 | − | 0.502214i | −0.935906 | − | 0.352249i | \(-0.885417\pi\) |
0.988691 | − | 0.149965i | \(-0.0479162\pi\) | |||||||
\(74\) | −4.59605 | − | 5.10443i | −0.534280 | − | 0.593378i | ||||
\(75\) | 0.669131 | − | 0.743145i | 0.0772645 | − | 0.0858110i | ||||
\(76\) | −0.309306 | − | 2.94285i | −0.0354798 | − | 0.337568i | ||||
\(77\) | −0.340626 | − | 1.04834i | −0.0388179 | − | 0.119469i | ||||
\(78\) | 0.886054 | + | 2.72699i | 0.100326 | + | 0.308771i | ||||
\(79\) | −0.594502 | − | 5.65631i | −0.0668868 | − | 0.636385i | −0.975689 | − | 0.219158i | \(-0.929669\pi\) |
0.908803 | − | 0.417227i | \(-0.136998\pi\) | |||||||
\(80\) | −0.669131 | + | 0.743145i | −0.0748111 | + | 0.0830861i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | 1.14204 | − | 10.8658i | 0.126118 | − | 1.19993i | ||||
\(83\) | −9.39662 | + | 1.99731i | −1.03141 | + | 0.219234i | −0.692374 | − | 0.721539i | \(-0.743435\pi\) |
−0.339039 | + | 0.940772i | \(0.610102\pi\) | |||||||
\(84\) | −0.381451 | − | 0.169833i | −0.0416198 | − | 0.0185303i | ||||
\(85\) | 4.55229 | − | 3.30743i | 0.493765 | − | 0.358741i | ||||
\(86\) | −8.96614 | + | 3.99198i | −0.966844 | + | 0.430467i | ||||
\(87\) | 4.19413 | − | 7.26444i | 0.449658 | − | 0.778830i | ||||
\(88\) | 1.31995 | + | 2.28621i | 0.140707 | + | 0.243711i | ||||
\(89\) | 3.08580 | + | 2.24196i | 0.327094 | + | 0.237648i | 0.739196 | − | 0.673490i | \(-0.235205\pi\) |
−0.412103 | + | 0.911137i | \(0.635205\pi\) | |||||||
\(90\) | −0.978148 | − | 0.207912i | −0.103106 | − | 0.0219158i | ||||
\(91\) | 0.369973 | − | 1.13866i | 0.0387837 | − | 0.119364i | ||||
\(92\) | −3.52517 | −0.367524 | ||||||||
\(93\) | 5.42661 | + | 1.24576i | 0.562713 | + | 0.129179i | ||||
\(94\) | 9.75536 | 1.00619 | ||||||||
\(95\) | −0.914400 | + | 2.81423i | −0.0938154 | + | 0.288734i | ||||
\(96\) | 0.978148 | + | 0.207912i | 0.0998318 | + | 0.0212199i | ||||
\(97\) | 6.33471 | + | 4.60244i | 0.643192 | + | 0.467307i | 0.860945 | − | 0.508697i | \(-0.169873\pi\) |
−0.217753 | + | 0.976004i | \(0.569873\pi\) | |||||||
\(98\) | −3.41283 | − | 5.91119i | −0.344747 | − | 0.597120i | ||||
\(99\) | −1.31995 | + | 2.28621i | −0.132660 | + | 0.229773i | ||||
\(100\) | 0.913545 | − | 0.406737i | 0.0913545 | − | 0.0406737i | ||||
\(101\) | −6.49267 | + | 4.71720i | −0.646044 | + | 0.469379i | −0.861921 | − | 0.507042i | \(-0.830739\pi\) |
0.215877 | + | 0.976421i | \(0.430739\pi\) | |||||||
\(102\) | −5.14047 | − | 2.28868i | −0.508982 | − | 0.226613i | ||||
\(103\) | 2.46255 | − | 0.523431i | 0.242642 | − | 0.0515752i | −0.0849852 | − | 0.996382i | \(-0.527084\pi\) |
0.327627 | + | 0.944807i | \(0.393751\pi\) | |||||||
\(104\) | −0.299718 | + | 2.85162i | −0.0293898 | + | 0.279625i | ||||
\(105\) | 0.279396 | + | 0.310301i | 0.0272662 | + | 0.0302822i | ||||
\(106\) | 2.24861 | − | 2.49733i | 0.218404 | − | 0.242562i | ||||
\(107\) | −1.71876 | − | 16.3529i | −0.166159 | − | 1.58089i | −0.686624 | − | 0.727012i | \(-0.740908\pi\) |
0.520466 | − | 0.853883i | \(-0.325758\pi\) | |||||||
\(108\) | 0.309017 | + | 0.951057i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | 5.17771 | + | 15.9353i | 0.495934 | + | 1.52633i | 0.815496 | + | 0.578763i | \(0.196464\pi\) |
−0.319562 | + | 0.947566i | \(0.603536\pi\) | |||||||
\(110\) | −0.275944 | − | 2.62543i | −0.0263102 | − | 0.250325i | ||||
\(111\) | 4.59605 | − | 5.10443i | 0.436238 | − | 0.484491i | ||||
\(112\) | −0.279396 | − | 0.310301i | −0.0264004 | − | 0.0293206i | ||||
\(113\) | −1.91170 | + | 18.1886i | −0.179837 | + | 1.71104i | 0.417191 | + | 0.908819i | \(0.363015\pi\) |
−0.597028 | + | 0.802220i | \(0.703652\pi\) | |||||||
\(114\) | 2.89440 | − | 0.615223i | 0.271085 | − | 0.0576209i | ||||
\(115\) | 3.22040 | + | 1.43381i | 0.300304 | + | 0.133704i | ||||
\(116\) | 6.78624 | − | 4.93049i | 0.630087 | − | 0.457785i | ||||
\(117\) | −2.61944 | + | 1.16625i | −0.242167 | + | 0.107820i | ||||
\(118\) | 0.852632 | − | 1.47680i | 0.0784911 | − | 0.135951i | ||||
\(119\) | 1.17477 | + | 2.03475i | 0.107691 | + | 0.186526i | ||||
\(120\) | −0.809017 | − | 0.587785i | −0.0738528 | − | 0.0536572i | ||||
\(121\) | 3.94288 | + | 0.838084i | 0.358443 | + | 0.0761895i | ||||
\(122\) | 2.90681 | − | 8.94624i | 0.263170 | − | 0.809954i | ||||
\(123\) | 10.9257 | 0.985134 | ||||||||
\(124\) | 4.45076 | + | 3.34526i | 0.399690 | + | 0.300413i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0.129030 | − | 0.397114i | 0.0114949 | − | 0.0353777i | ||||
\(127\) | −8.21881 | − | 1.74696i | −0.729302 | − | 0.155018i | −0.171727 | − | 0.985145i | \(-0.554935\pi\) |
−0.557575 | + | 0.830127i | \(0.688268\pi\) | |||||||
\(128\) | 0.809017 | + | 0.587785i | 0.0715077 | + | 0.0519534i | ||||
\(129\) | −4.90733 | − | 8.49975i | −0.432066 | − | 0.748361i | ||||
\(130\) | 1.43367 | − | 2.48318i | 0.125741 | − | 0.217790i | ||||
\(131\) | 13.0360 | − | 5.80402i | 1.13896 | − | 0.507099i | 0.251445 | − | 0.967872i | \(-0.419094\pi\) |
0.887518 | + | 0.460772i | \(0.152427\pi\) | |||||||
\(132\) | −2.13572 | + | 1.55169i | −0.185890 | + | 0.135057i | ||||
\(133\) | −1.12874 | − | 0.502546i | −0.0978740 | − | 0.0435763i | ||||
\(134\) | 0.564461 | − | 0.119980i | 0.0487620 | − | 0.0103647i | ||||
\(135\) | 0.104528 | − | 0.994522i | 0.00899638 | − | 0.0855948i | ||||
\(136\) | −3.76516 | − | 4.18163i | −0.322860 | − | 0.358572i | ||||
\(137\) | −11.6898 | + | 12.9828i | −0.998724 | + | 1.10920i | −0.00470494 | + | 0.999989i | \(0.501498\pi\) |
−0.994019 | + | 0.109206i | \(0.965169\pi\) | |||||||
\(138\) | −0.368480 | − | 3.50586i | −0.0313671 | − | 0.298438i | ||||
\(139\) | 6.46929 | + | 19.9104i | 0.548718 | + | 1.68878i | 0.711981 | + | 0.702199i | \(0.247798\pi\) |
−0.163262 | + | 0.986583i | \(0.552202\pi\) | |||||||
\(140\) | 0.129030 | + | 0.397114i | 0.0109050 | + | 0.0335623i | ||||
\(141\) | 1.01971 | + | 9.70192i | 0.0858753 | + | 0.817049i | ||||
\(142\) | 1.85465 | − | 2.05979i | 0.155638 | − | 0.172854i | ||||
\(143\) | −5.06495 | − | 5.62520i | −0.423553 | − | 0.470403i | ||||
\(144\) | −0.104528 | + | 0.994522i | −0.00871071 | + | 0.0828768i | ||||
\(145\) | −8.20495 | + | 1.74402i | −0.681384 | + | 0.144833i | ||||
\(146\) | 3.94154 | + | 1.75489i | 0.326204 | + | 0.145236i | ||||
\(147\) | 5.52207 | − | 4.01202i | 0.455452 | − | 0.330906i | ||||
\(148\) | 6.27486 | − | 2.79375i | 0.515790 | − | 0.229645i | ||||
\(149\) | 9.66371 | − | 16.7380i | 0.791682 | − | 1.37123i | −0.133242 | − | 0.991083i | \(-0.542539\pi\) |
0.924925 | − | 0.380150i | \(-0.124128\pi\) | |||||||
\(150\) | 0.500000 | + | 0.866025i | 0.0408248 | + | 0.0707107i | ||||
\(151\) | 5.35760 | + | 3.89252i | 0.435995 | + | 0.316769i | 0.784042 | − | 0.620708i | \(-0.213155\pi\) |
−0.348047 | + | 0.937477i | \(0.613155\pi\) | |||||||
\(152\) | 2.89440 | + | 0.615223i | 0.234767 | + | 0.0499012i | ||||
\(153\) | 1.73882 | − | 5.35154i | 0.140575 | − | 0.432646i | ||||
\(154\) | 1.10229 | 0.0888250 | ||||||||
\(155\) | −2.70533 | − | 4.86633i | −0.217298 | − | 0.390873i | ||||
\(156\) | −2.86733 | −0.229570 | ||||||||
\(157\) | −2.30634 | + | 7.09818i | −0.184066 | + | 0.566496i | −0.999931 | − | 0.0117459i | \(-0.996261\pi\) |
0.815865 | + | 0.578242i | \(0.196261\pi\) | |||||||
\(158\) | 5.56318 | + | 1.18249i | 0.442583 | + | 0.0940740i | ||||
\(159\) | 2.71869 | + | 1.97525i | 0.215606 | + | 0.156647i | ||||
\(160\) | −0.500000 | − | 0.866025i | −0.0395285 | − | 0.0684653i | ||||
\(161\) | −0.735968 | + | 1.27473i | −0.0580024 | + | 0.100463i | ||||
\(162\) | −0.913545 | + | 0.406737i | −0.0717749 | + | 0.0319562i | ||||
\(163\) | 13.4644 | − | 9.78247i | 1.05461 | − | 0.766222i | 0.0815296 | − | 0.996671i | \(-0.474019\pi\) |
0.973084 | + | 0.230449i | \(0.0740195\pi\) | |||||||
\(164\) | 9.98109 | + | 4.44387i | 0.779392 | + | 0.347008i | ||||
\(165\) | 2.58221 | − | 0.548865i | 0.201024 | − | 0.0427291i | ||||
\(166\) | 1.00416 | − | 9.55392i | 0.0779377 | − | 0.741528i | ||||
\(167\) | −6.35543 | − | 7.05842i | −0.491798 | − | 0.546197i | 0.445246 | − | 0.895408i | \(-0.353116\pi\) |
−0.937044 | + | 0.349211i | \(0.886450\pi\) | |||||||
\(168\) | 0.279396 | − | 0.310301i | 0.0215559 | − | 0.0239402i | ||||
\(169\) | 0.499479 | + | 4.75223i | 0.0384215 | + | 0.365556i | ||||
\(170\) | 1.73882 | + | 5.35154i | 0.133361 | + | 0.410444i | ||||
\(171\) | 0.914400 | + | 2.81423i | 0.0699259 | + | 0.215210i | ||||
\(172\) | −1.02591 | − | 9.76090i | −0.0782250 | − | 0.744261i | ||||
\(173\) | 13.6752 | − | 15.1879i | 1.03971 | − | 1.15471i | 0.0519593 | − | 0.998649i | \(-0.483453\pi\) |
0.987747 | − | 0.156062i | \(-0.0498800\pi\) | |||||||
\(174\) | 5.61284 | + | 6.23369i | 0.425508 | + | 0.472575i | ||||
\(175\) | 0.0436459 | − | 0.415263i | 0.00329932 | − | 0.0313910i | ||||
\(176\) | −2.58221 | + | 0.548865i | −0.194641 | + | 0.0413722i | ||||
\(177\) | 1.55784 | + | 0.693593i | 0.117094 | + | 0.0521336i | ||||
\(178\) | −3.08580 | + | 2.24196i | −0.231290 | + | 0.168042i | ||||
\(179\) | −11.5859 | + | 5.15837i | −0.865971 | + | 0.385555i | −0.791135 | − | 0.611641i | \(-0.790510\pi\) |
−0.0748352 | + | 0.997196i | \(0.523843\pi\) | |||||||
\(180\) | 0.500000 | − | 0.866025i | 0.0372678 | − | 0.0645497i | ||||
\(181\) | −0.162773 | − | 0.281931i | −0.0120988 | − | 0.0209558i | 0.859913 | − | 0.510441i | \(-0.170518\pi\) |
−0.872011 | + | 0.489486i | \(0.837185\pi\) | |||||||
\(182\) | 0.968601 | + | 0.703730i | 0.0717975 | + | 0.0521639i | ||||
\(183\) | 9.20107 | + | 1.95575i | 0.680163 | + | 0.144573i | ||||
\(184\) | 1.08934 | − | 3.35263i | 0.0803070 | − | 0.247159i | ||||
\(185\) | −6.86869 | −0.504996 | ||||||||
\(186\) | −2.86170 | + | 4.77605i | −0.209830 | + | 0.350197i | ||||
\(187\) | 14.8545 | 1.08627 | ||||||||
\(188\) | −3.01457 | + | 9.27790i | −0.219860 | + | 0.676660i | ||||
\(189\) | 0.408426 | + | 0.0868137i | 0.0297086 | + | 0.00631476i | ||||
\(190\) | −2.39393 | − | 1.73929i | −0.173674 | − | 0.126181i | ||||
\(191\) | 3.47170 | + | 6.01316i | 0.251203 | + | 0.435097i | 0.963857 | − | 0.266419i | \(-0.0858403\pi\) |
−0.712654 | + | 0.701516i | \(0.752507\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | 9.88196 | − | 4.39973i | 0.711319 | − | 0.316700i | −0.0189871 | − | 0.999820i | \(-0.506044\pi\) |
0.730306 | + | 0.683120i | \(0.239377\pi\) | |||||||
\(194\) | −6.33471 | + | 4.60244i | −0.454806 | + | 0.330436i | ||||
\(195\) | 2.61944 | + | 1.16625i | 0.187582 | + | 0.0835168i | ||||
\(196\) | 6.67649 | − | 1.41913i | 0.476892 | − | 0.101367i | ||||
\(197\) | 0.640962 | − | 6.09835i | 0.0456667 | − | 0.434489i | −0.947671 | − | 0.319249i | \(-0.896569\pi\) |
0.993338 | − | 0.115241i | \(-0.0367639\pi\) | |||||||
\(198\) | −1.76643 | − | 1.96182i | −0.125535 | − | 0.139421i | ||||
\(199\) | 9.37105 | − | 10.4076i | 0.664296 | − | 0.737776i | −0.312977 | − | 0.949761i | \(-0.601326\pi\) |
0.977273 | + | 0.211985i | \(0.0679929\pi\) | |||||||
\(200\) | 0.104528 | + | 0.994522i | 0.00739128 | + | 0.0703233i | ||||
\(201\) | 0.178325 | + | 0.548828i | 0.0125781 | + | 0.0387113i | ||||
\(202\) | −2.47998 | − | 7.63259i | −0.174491 | − | 0.537027i | ||||
\(203\) | −0.366113 | − | 3.48333i | −0.0256961 | − | 0.244482i | ||||
\(204\) | 3.76516 | − | 4.18163i | 0.263614 | − | 0.292773i | ||||
\(205\) | −7.31070 | − | 8.11935i | −0.510601 | − | 0.567080i | ||||
\(206\) | −0.263157 | + | 2.50377i | −0.0183350 | + | 0.174446i | ||||
\(207\) | 3.44813 | − | 0.732924i | 0.239662 | − | 0.0509417i | ||||
\(208\) | −2.61944 | − | 1.16625i | −0.181625 | − | 0.0808648i | ||||
\(209\) | −6.31972 | + | 4.59154i | −0.437144 | + | 0.317604i | ||||
\(210\) | −0.381451 | + | 0.169833i | −0.0263227 | + | 0.0117196i | ||||
\(211\) | −1.45776 | + | 2.52492i | −0.100356 | + | 0.173822i | −0.911832 | − | 0.410565i | \(-0.865332\pi\) |
0.811475 | + | 0.584387i | \(0.198665\pi\) | |||||||
\(212\) | 1.68025 | + | 2.91027i | 0.115400 | + | 0.199878i | ||||
\(213\) | 2.24237 | + | 1.62918i | 0.153645 | + | 0.111630i | ||||
\(214\) | 16.0837 | + | 3.41869i | 1.09946 | + | 0.233697i | ||||
\(215\) | −3.03290 | + | 9.33430i | −0.206842 | + | 0.636594i | ||||
\(216\) | −1.00000 | −0.0680414 | ||||||||
\(217\) | 2.13889 | − | 0.911030i | 0.145197 | − | 0.0618447i | ||||
\(218\) | −16.7554 | −1.13482 | ||||||||
\(219\) | −1.33327 | + | 4.10339i | −0.0900941 | + | 0.277281i | ||||
\(220\) | 2.58221 | + | 0.548865i | 0.174092 | + | 0.0370045i | ||||
\(221\) | 13.0529 | + | 9.48351i | 0.878035 | + | 0.637930i | ||||
\(222\) | 3.43434 | + | 5.94846i | 0.230498 | + | 0.399234i | ||||
\(223\) | −9.36074 | + | 16.2133i | −0.626842 | + | 1.08572i | 0.361340 | + | 0.932434i | \(0.382319\pi\) |
−0.988182 | + | 0.153287i | \(0.951014\pi\) | |||||||
\(224\) | 0.381451 | − | 0.169833i | 0.0254868 | − | 0.0113475i | ||||
\(225\) | −0.809017 | + | 0.587785i | −0.0539345 | + | 0.0391857i | ||||
\(226\) | −16.7076 | − | 7.43872i | −1.11138 | − | 0.494816i | ||||
\(227\) | 18.2933 | − | 3.88836i | 1.21417 | − | 0.258080i | 0.444064 | − | 0.895995i | \(-0.353536\pi\) |
0.770106 | + | 0.637916i | \(0.220203\pi\) | |||||||
\(228\) | −0.309306 | + | 2.94285i | −0.0204843 | + | 0.194895i | ||||
\(229\) | 10.7374 | + | 11.9251i | 0.709549 | + | 0.788034i | 0.984866 | − | 0.173320i | \(-0.0554493\pi\) |
−0.275317 | + | 0.961354i | \(0.588783\pi\) | |||||||
\(230\) | −2.35880 | + | 2.61971i | −0.155534 | + | 0.172739i | ||||
\(231\) | 0.115221 | + | 1.09625i | 0.00758096 | + | 0.0721280i | ||||
\(232\) | 2.59211 | + | 7.97770i | 0.170181 | + | 0.523762i | ||||
\(233\) | 1.65665 | + | 5.09864i | 0.108531 | + | 0.334023i | 0.990543 | − | 0.137204i | \(-0.0438115\pi\) |
−0.882012 | + | 0.471226i | \(0.843811\pi\) | |||||||
\(234\) | −0.299718 | − | 2.85162i | −0.0195932 | − | 0.186417i | ||||
\(235\) | 6.52761 | − | 7.24964i | 0.425814 | − | 0.472915i | ||||
\(236\) | 1.14104 | + | 1.26726i | 0.0742756 | + | 0.0824914i | ||||
\(237\) | −0.594502 | + | 5.65631i | −0.0386171 | + | 0.367417i | ||||
\(238\) | −2.29819 | + | 0.488495i | −0.148970 | + | 0.0316644i | ||||
\(239\) | 9.90920 | + | 4.41186i | 0.640973 | + | 0.285379i | 0.701373 | − | 0.712795i | \(-0.252571\pi\) |
−0.0604000 | + | 0.998174i | \(0.519238\pi\) | |||||||
\(240\) | 0.809017 | − | 0.587785i | 0.0522218 | − | 0.0379414i | ||||
\(241\) | −3.47642 | + | 1.54780i | −0.223936 | + | 0.0997027i | −0.515638 | − | 0.856806i | \(-0.672445\pi\) |
0.291702 | + | 0.956509i | \(0.405778\pi\) | |||||||
\(242\) | −2.01548 | + | 3.49092i | −0.129560 | + | 0.224405i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 7.61012 | + | 5.52908i | 0.487188 | + | 0.353963i | ||||
\(245\) | −6.67649 | − | 1.41913i | −0.426546 | − | 0.0906651i | ||||
\(246\) | −3.37622 | + | 10.3909i | −0.215260 | + | 0.662501i | ||||
\(247\) | −8.48461 | −0.539863 | ||||||||
\(248\) | −4.55689 | + | 3.19918i | −0.289363 | + | 0.203148i | ||||
\(249\) | 9.60654 | 0.608790 | ||||||||
\(250\) | 0.309017 | − | 0.951057i | 0.0195440 | − | 0.0601501i | ||||
\(251\) | 20.2914 | + | 4.31307i | 1.28078 | + | 0.272238i | 0.797549 | − | 0.603254i | \(-0.206129\pi\) |
0.483232 | + | 0.875492i | \(0.339463\pi\) | |||||||
\(252\) | 0.337806 | + | 0.245430i | 0.0212797 | + | 0.0154606i | ||||
\(253\) | 4.65303 | + | 8.05929i | 0.292534 | + | 0.506683i | ||||
\(254\) | 4.20121 | − | 7.27672i | 0.263608 | − | 0.456582i | ||||
\(255\) | −5.14047 | + | 2.28868i | −0.321908 | + | 0.143323i | ||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −21.1822 | − | 9.43090i | −1.32131 | − | 0.588284i | −0.379735 | − | 0.925095i | \(-0.623985\pi\) |
−0.941572 | + | 0.336812i | \(0.890651\pi\) | |||||||
\(258\) | 9.60019 | − | 2.04058i | 0.597682 | − | 0.127041i | ||||
\(259\) | 0.299790 | − | 2.85231i | 0.0186281 | − | 0.177234i | ||||
\(260\) | 1.91862 | + | 2.13084i | 0.118988 | + | 0.132149i | ||||
\(261\) | −5.61284 | + | 6.23369i | −0.347426 | + | 0.385856i | ||||
\(262\) | 1.49159 | + | 14.1915i | 0.0921508 | + | 0.876757i | ||||
\(263\) | 9.04765 | + | 27.8458i | 0.557902 | + | 1.71704i | 0.688155 | + | 0.725564i | \(0.258421\pi\) |
−0.130253 | + | 0.991481i | \(0.541579\pi\) | |||||||
\(264\) | −0.815772 | − | 2.51069i | −0.0502073 | − | 0.154522i | ||||
\(265\) | −0.351267 | − | 3.34208i | −0.0215782 | − | 0.205302i | ||||
\(266\) | 0.826749 | − | 0.918198i | 0.0506912 | − | 0.0562983i | ||||
\(267\) | −2.55223 | − | 2.83454i | −0.156194 | − | 0.173471i | ||||
\(268\) | −0.0603204 | + | 0.573910i | −0.00368466 | + | 0.0350572i | ||||
\(269\) | −7.65658 | + | 1.62746i | −0.466830 | + | 0.0992277i | −0.435320 | − | 0.900276i | \(-0.643365\pi\) |
−0.0315096 | + | 0.999503i | \(0.510031\pi\) | |||||||
\(270\) | 0.913545 | + | 0.406737i | 0.0555966 | + | 0.0247532i | ||||
\(271\) | −0.943076 | + | 0.685185i | −0.0572878 | + | 0.0416220i | −0.616061 | − | 0.787699i | \(-0.711272\pi\) |
0.558773 | + | 0.829321i | \(0.311272\pi\) | |||||||
\(272\) | 5.14047 | − | 2.28868i | 0.311687 | − | 0.138772i | ||||
\(273\) | −0.598628 | + | 1.03685i | −0.0362306 | + | 0.0627533i | ||||
\(274\) | −8.73504 | − | 15.1295i | −0.527703 | − | 0.914009i | ||||
\(275\) | −2.13572 | − | 1.55169i | −0.128789 | − | 0.0935705i | ||||
\(276\) | 3.44813 | + | 0.732924i | 0.207553 | + | 0.0441168i | ||||
\(277\) | 9.06879 | − | 27.9109i | 0.544891 | − | 1.67700i | −0.176358 | − | 0.984326i | \(-0.556432\pi\) |
0.721249 | − | 0.692676i | \(-0.243568\pi\) | |||||||
\(278\) | −20.9351 | −1.25560 | ||||||||
\(279\) | −5.04902 | − | 2.34679i | −0.302277 | − | 0.140499i | ||||
\(280\) | −0.417551 | −0.0249534 | ||||||||
\(281\) | 7.95532 | − | 24.4840i | 0.474575 | − | 1.46059i | −0.371956 | − | 0.928250i | \(-0.621313\pi\) |
0.846531 | − | 0.532340i | \(-0.178687\pi\) | |||||||
\(282\) | −9.54218 | − | 2.02825i | −0.568229 | − | 0.120781i | ||||
\(283\) | −6.89405 | − | 5.00882i | −0.409809 | − | 0.297744i | 0.363715 | − | 0.931510i | \(-0.381508\pi\) |
−0.773524 | + | 0.633766i | \(0.781508\pi\) | |||||||
\(284\) | 1.38586 | + | 2.40039i | 0.0822358 | + | 0.142437i | ||||
\(285\) | 1.47953 | − | 2.56262i | 0.0876398 | − | 0.151797i | ||||
\(286\) | 6.91504 | − | 3.07877i | 0.408895 | − | 0.182052i | ||||
\(287\) | 3.69075 | − | 2.68149i | 0.217858 | − | 0.158283i | ||||
\(288\) | −0.913545 | − | 0.406737i | −0.0538312 | − | 0.0239672i | ||||
\(289\) | −14.3420 | + | 3.04850i | −0.843650 | + | 0.179323i | ||||
\(290\) | 0.876811 | − | 8.34230i | 0.0514881 | − | 0.489877i | ||||
\(291\) | −5.23938 | − | 5.81892i | −0.307138 | − | 0.341111i | ||||
\(292\) | −2.88700 | + | 3.20634i | −0.168949 | + | 0.187637i | ||||
\(293\) | 0.745259 | + | 7.09067i | 0.0435385 | + | 0.414241i | 0.994484 | + | 0.104884i | \(0.0334472\pi\) |
−0.950946 | + | 0.309357i | \(0.899886\pi\) | |||||||
\(294\) | 2.10924 | + | 6.49158i | 0.123014 | + | 0.378597i | ||||
\(295\) | −0.526955 | − | 1.62180i | −0.0306805 | − | 0.0944250i | ||||
\(296\) | 0.717974 | + | 6.83106i | 0.0417314 | + | 0.397047i | ||||
\(297\) | 1.76643 | − | 1.96182i | 0.102499 | − | 0.113837i | ||||
\(298\) | 12.9326 | + | 14.3631i | 0.749164 | + | 0.832031i | ||||
\(299\) | −1.05656 | + | 10.0525i | −0.0611022 | + | 0.581348i | ||||
\(300\) | −0.978148 | + | 0.207912i | −0.0564734 | + | 0.0120038i | ||||
\(301\) | −3.74382 | − | 1.66686i | −0.215790 | − | 0.0960759i | ||||
\(302\) | −5.35760 | + | 3.89252i | −0.308295 | + | 0.223989i | ||||
\(303\) | 7.33155 | − | 3.26421i | 0.421186 | − | 0.187524i | ||||
\(304\) | −1.47953 | + | 2.56262i | −0.0848568 | + | 0.146976i | ||||
\(305\) | −4.70332 | − | 8.14638i | −0.269311 | − | 0.466460i | ||||
\(306\) | 4.55229 | + | 3.30743i | 0.260237 | + | 0.189073i | ||||
\(307\) | −12.9299 | − | 2.74833i | −0.737947 | − | 0.156855i | −0.176421 | − | 0.984315i | \(-0.556452\pi\) |
−0.561526 | + | 0.827459i | \(0.689785\pi\) | |||||||
\(308\) | −0.340626 | + | 1.04834i | −0.0194090 | + | 0.0597347i | ||||
\(309\) | −2.51756 | −0.143219 | ||||||||
\(310\) | 5.46415 | − | 1.06914i | 0.310343 | − | 0.0607233i | ||||
\(311\) | 21.7385 | 1.23268 | 0.616338 | − | 0.787481i | \(-0.288615\pi\) | ||||
0.616338 | + | 0.787481i | \(0.288615\pi\) | |||||||
\(312\) | 0.886054 | − | 2.72699i | 0.0501630 | − | 0.154386i | ||||
\(313\) | 20.8167 | + | 4.42473i | 1.17663 | + | 0.250101i | 0.754417 | − | 0.656395i | \(-0.227920\pi\) |
0.422214 | + | 0.906496i | \(0.361253\pi\) | |||||||
\(314\) | −6.03807 | − | 4.38691i | −0.340748 | − | 0.247568i | ||||
\(315\) | −0.208775 | − | 0.361609i | −0.0117632 | − | 0.0203744i | ||||
\(316\) | −2.84373 | + | 4.92549i | −0.159973 | + | 0.277081i | ||||
\(317\) | −19.7645 | + | 8.79971i | −1.11008 | + | 0.494241i | −0.878099 | − | 0.478479i | \(-0.841188\pi\) |
−0.231984 | + | 0.972720i | \(0.574522\pi\) | |||||||
\(318\) | −2.71869 | + | 1.97525i | −0.152457 | + | 0.110766i | ||||
\(319\) | −20.2296 | − | 9.00682i | −1.13264 | − | 0.504285i | ||||
\(320\) | 0.978148 | − | 0.207912i | 0.0546801 | − | 0.0116226i | ||||
\(321\) | −1.71876 | + | 16.3529i | −0.0959318 | + | 0.912730i | ||||
\(322\) | −0.984917 | − | 1.09386i | −0.0548873 | − | 0.0609585i | ||||
\(323\) | 11.1413 | − | 12.3737i | 0.619920 | − | 0.688491i | ||||
\(324\) | −0.104528 | − | 0.994522i | −0.00580714 | − | 0.0552512i | ||||
\(325\) | −0.886054 | − | 2.72699i | −0.0491495 | − | 0.151266i | ||||
\(326\) | 5.14295 | + | 15.8284i | 0.284841 | + | 0.876652i | ||||
\(327\) | −1.75142 | − | 16.6636i | −0.0968536 | − | 0.921500i | ||||
\(328\) | −7.31070 | + | 8.11935i | −0.403666 | + | 0.448316i | ||||
\(329\) | 2.72561 | + | 3.02709i | 0.150268 | + | 0.166889i | ||||
\(330\) | −0.275944 | + | 2.62543i | −0.0151902 | + | 0.144525i | ||||
\(331\) | −17.3175 | + | 3.68095i | −0.951856 | + | 0.202323i | −0.657569 | − | 0.753394i | \(-0.728415\pi\) |
−0.294286 | + | 0.955717i | \(0.595082\pi\) | |||||||
\(332\) | 8.77602 | + | 3.90733i | 0.481646 | + | 0.214443i | ||||
\(333\) | −5.55689 | + | 4.03731i | −0.304516 | + | 0.221243i | ||||
\(334\) | 8.67689 | − | 3.86320i | 0.474779 | − | 0.211385i | ||||
\(335\) | 0.288536 | − | 0.499759i | 0.0157644 | − | 0.0273047i | ||||
\(336\) | 0.208775 | + | 0.361609i | 0.0113896 | + | 0.0197274i | ||||
\(337\) | 13.2991 | + | 9.66235i | 0.724447 | + | 0.526342i | 0.887802 | − | 0.460226i | \(-0.152231\pi\) |
−0.163355 | + | 0.986567i | \(0.552231\pi\) | |||||||
\(338\) | −4.67399 | − | 0.993487i | −0.254231 | − | 0.0540385i | ||||
\(339\) | 5.65154 | − | 17.3937i | 0.306950 | − | 0.944694i | ||||
\(340\) | −5.62694 | −0.305164 | ||||||||
\(341\) | 1.77321 | − | 14.5910i | 0.0960248 | − | 0.790144i | ||||
\(342\) | −2.95906 | −0.160008 | ||||||||
\(343\) | 1.78393 | − | 5.49036i | 0.0963230 | − | 0.296452i | ||||
\(344\) | 9.60019 | + | 2.04058i | 0.517608 | + | 0.110021i | ||||
\(345\) | −2.85192 | − | 2.07204i | −0.153542 | − | 0.111555i | ||||
\(346\) | 10.2186 | + | 17.6992i | 0.549357 | + | 0.951515i | ||||
\(347\) | 6.94012 | − | 12.0206i | 0.372565 | − | 0.645302i | −0.617394 | − | 0.786654i | \(-0.711812\pi\) |
0.989959 | + | 0.141352i | \(0.0451449\pi\) | |||||||
\(348\) | −7.66305 | + | 3.41181i | −0.410783 | + | 0.182892i | ||||
\(349\) | −12.0855 | + | 8.78064i | −0.646922 | + | 0.470017i | −0.862221 | − | 0.506531i | \(-0.830927\pi\) |
0.215299 | + | 0.976548i | \(0.430927\pi\) | |||||||
\(350\) | 0.381451 | + | 0.169833i | 0.0203894 | + | 0.00907796i | ||||
\(351\) | 2.80467 | − | 0.596152i | 0.149702 | − | 0.0318202i | ||||
\(352\) | 0.275944 | − | 2.62543i | 0.0147079 | − | 0.139936i | ||||
\(353\) | 10.9425 | + | 12.1529i | 0.582412 | + | 0.646834i | 0.960284 | − | 0.279023i | \(-0.0900107\pi\) |
−0.377872 | + | 0.925858i | \(0.623344\pi\) | |||||||
\(354\) | −1.14104 | + | 1.26726i | −0.0606458 | + | 0.0673540i | ||||
\(355\) | −0.289724 | − | 2.75654i | −0.0153770 | − | 0.146302i | ||||
\(356\) | −1.17867 | − | 3.62757i | −0.0624694 | − | 0.192261i | ||||
\(357\) | −0.726045 | − | 2.23454i | −0.0384264 | − | 0.118264i | ||||
\(358\) | −1.32567 | − | 12.6129i | −0.0700636 | − | 0.666611i | ||||
\(359\) | 2.64376 | − | 2.93619i | 0.139532 | − | 0.154966i | −0.669328 | − | 0.742967i | \(-0.733418\pi\) |
0.808861 | + | 0.588001i | \(0.200085\pi\) | |||||||
\(360\) | 0.669131 | + | 0.743145i | 0.0352663 | + | 0.0391672i | ||||
\(361\) | 1.07079 | − | 10.1878i | 0.0563572 | − | 0.536203i | ||||
\(362\) | 0.318432 | − | 0.0676848i | 0.0167364 | − | 0.00355743i | ||||
\(363\) | −3.68247 | − | 1.63954i | −0.193279 | − | 0.0860535i | ||||
\(364\) | −0.968601 | + | 0.703730i | −0.0507685 | + | 0.0368855i | ||||
\(365\) | 3.94154 | − | 1.75489i | 0.206310 | − | 0.0918550i | ||||
\(366\) | −4.70332 | + | 8.14638i | −0.245846 | + | 0.425818i | ||||
\(367\) | 10.3987 | + | 18.0111i | 0.542808 | + | 0.940171i | 0.998741 | + | 0.0501573i | \(0.0159723\pi\) |
−0.455933 | + | 0.890014i | \(0.650694\pi\) | |||||||
\(368\) | 2.85192 | + | 2.07204i | 0.148667 | + | 0.108013i | ||||
\(369\) | −10.6869 | − | 2.27157i | −0.556338 | − | 0.118253i | ||||
\(370\) | 2.12254 | − | 6.53251i | 0.110346 | − | 0.339609i | ||||
\(371\) | 1.40318 | 0.0728492 | ||||||||
\(372\) | −3.65798 | − | 4.19752i | −0.189657 | − | 0.217631i | ||||
\(373\) | −38.4803 | −1.99243 | −0.996216 | − | 0.0869088i | \(-0.972301\pi\) | ||||
−0.996216 | + | 0.0869088i | \(0.972301\pi\) | |||||||
\(374\) | −4.59030 | + | 14.1275i | −0.237359 | + | 0.730515i | ||||
\(375\) | 0.978148 | + | 0.207912i | 0.0505113 | + | 0.0107365i | ||||
\(376\) | −7.89225 | − | 5.73406i | −0.407012 | − | 0.295711i | ||||
\(377\) | −12.0260 | − | 20.8296i | −0.619368 | − | 1.07278i | ||||
\(378\) | −0.208775 | + | 0.361609i | −0.0107382 | + | 0.0185992i | ||||
\(379\) | −13.9226 | + | 6.19874i | −0.715156 | + | 0.318408i | −0.731862 | − | 0.681453i | \(-0.761349\pi\) |
0.0167066 | + | 0.999860i | \(0.494682\pi\) | |||||||
\(380\) | 2.39393 | − | 1.73929i | 0.122806 | − | 0.0892238i | ||||
\(381\) | 7.67600 | + | 3.41758i | 0.393253 | + | 0.175088i | ||||
\(382\) | −6.79167 | + | 1.44361i | −0.347492 | + | 0.0738617i | ||||
\(383\) | 2.96807 | − | 28.2393i | 0.151661 | − | 1.44296i | −0.608668 | − | 0.793425i | \(-0.708296\pi\) |
0.760329 | − | 0.649538i | \(-0.225037\pi\) | |||||||
\(384\) | −0.669131 | − | 0.743145i | −0.0341464 | − | 0.0379235i | ||||
\(385\) | 0.737575 | − | 0.819161i | 0.0375903 | − | 0.0417483i | ||||
\(386\) | 1.13070 | + | 10.7579i | 0.0575511 | + | 0.547562i | ||||
\(387\) | 3.03290 | + | 9.33430i | 0.154171 | + | 0.474489i | ||||
\(388\) | −2.41964 | − | 7.44690i | −0.122839 | − | 0.378059i | ||||
\(389\) | −2.29186 | − | 21.8056i | −0.116202 | − | 1.10559i | −0.884837 | − | 0.465901i | \(-0.845730\pi\) |
0.768635 | − | 0.639688i | \(-0.220936\pi\) | |||||||
\(390\) | −1.91862 | + | 2.13084i | −0.0971531 | + | 0.107899i | ||||
\(391\) | −13.2728 | − | 14.7410i | −0.671235 | − | 0.745482i | ||||
\(392\) | −0.713475 | + | 6.78826i | −0.0360359 | + | 0.342859i | ||||
\(393\) | −13.9579 | + | 2.96684i | −0.704082 | + | 0.149657i | ||||
\(394\) | 5.60181 | + | 2.49408i | 0.282215 | + | 0.125650i | ||||
\(395\) | 4.60126 | − | 3.34301i | 0.231514 | − | 0.168205i | ||||
\(396\) | 2.41166 | − | 1.07374i | 0.121191 | − | 0.0539575i | ||||
\(397\) | −3.44158 | + | 5.96100i | −0.172728 | + | 0.299174i | −0.939373 | − | 0.342898i | \(-0.888592\pi\) |
0.766645 | + | 0.642072i | \(0.221925\pi\) | |||||||
\(398\) | 7.00241 | + | 12.1285i | 0.350999 | + | 0.607948i | ||||
\(399\) | 0.999587 | + | 0.726242i | 0.0500419 | + | 0.0363576i | ||||
\(400\) | −0.978148 | − | 0.207912i | −0.0489074 | − | 0.0103956i | ||||
\(401\) | −4.71125 | + | 14.4997i | −0.235268 | + | 0.724082i | 0.761817 | + | 0.647792i | \(0.224307\pi\) |
−0.997086 | + | 0.0762899i | \(0.975693\pi\) | |||||||
\(402\) | −0.577072 | −0.0287817 | ||||||||
\(403\) | 10.8734 | − | 11.6893i | 0.541642 | − | 0.582284i | ||||
\(404\) | 8.02538 | 0.399277 | ||||||||
\(405\) | −0.309017 | + | 0.951057i | −0.0153552 | + | 0.0472584i | ||||
\(406\) | 3.42598 | + | 0.728215i | 0.170029 | + | 0.0361407i | ||||
\(407\) | −14.6696 | − | 10.6581i | −0.727145 | − | 0.528301i | ||||
\(408\) | 2.81347 | + | 4.87307i | 0.139288 | + | 0.241253i | ||||
\(409\) | −5.28616 | + | 9.15590i | −0.261384 | + | 0.452730i | −0.966610 | − | 0.256252i | \(-0.917512\pi\) |
0.705226 | + | 0.708983i | \(0.250846\pi\) | |||||||
\(410\) | 9.98109 | − | 4.44387i | 0.492931 | − | 0.219467i | ||||
\(411\) | 14.1336 | − | 10.2687i | 0.697159 | − | 0.506515i | ||||
\(412\) | −2.29991 | − | 1.02399i | −0.113308 | − | 0.0504481i | ||||
\(413\) | 0.696474 | − | 0.148040i | 0.0342713 | − | 0.00728458i | ||||
\(414\) | −0.368480 | + | 3.50586i | −0.0181098 | + | 0.172303i | ||||
\(415\) | −6.42803 | − | 7.13905i | −0.315540 | − | 0.350442i | ||||
\(416\) | 1.91862 | − | 2.13084i | 0.0940681 | − | 0.104473i | ||||
\(417\) | −2.18831 | − | 20.8204i | −0.107162 | − | 1.01958i | ||||
\(418\) | −2.41392 | − | 7.42928i | −0.118069 | − | 0.363378i | ||||
\(419\) | −1.53015 | − | 4.70931i | −0.0747527 | − | 0.230065i | 0.906698 | − | 0.421781i | \(-0.138595\pi\) |
−0.981450 | + | 0.191716i | \(0.938595\pi\) | |||||||
\(420\) | −0.0436459 | − | 0.415263i | −0.00212970 | − | 0.0202628i | ||||
\(421\) | 24.2039 | − | 26.8812i | 1.17963 | − | 1.31011i | 0.238862 | − | 0.971053i | \(-0.423226\pi\) |
0.940766 | − | 0.339056i | \(-0.110108\pi\) | |||||||
\(422\) | −1.95087 | − | 2.16666i | −0.0949667 | − | 0.105471i | ||||
\(423\) | 1.01971 | − | 9.70192i | 0.0495801 | − | 0.471723i | ||||
\(424\) | −3.28706 | + | 0.698685i | −0.159634 | + | 0.0339312i | ||||
\(425\) | 5.14047 | + | 2.28868i | 0.249349 | + | 0.111017i | ||||
\(426\) | −2.24237 | + | 1.62918i | −0.108643 | + | 0.0789340i | ||||
\(427\) | 3.58817 | − | 1.59756i | 0.173644 | − | 0.0773112i | ||||
\(428\) | −8.22149 | + | 14.2400i | −0.397401 | + | 0.688318i | ||||
\(429\) | 3.78473 | + | 6.55534i | 0.182728 | + | 0.316495i | ||||
\(430\) | −7.94023 | − | 5.76891i | −0.382912 | − | 0.278202i | ||||
\(431\) | 13.0555 | + | 2.77503i | 0.628860 | + | 0.133668i | 0.511307 | − | 0.859398i | \(-0.329162\pi\) |
0.117553 | + | 0.993067i | \(0.462495\pi\) | |||||||
\(432\) | 0.309017 | − | 0.951057i | 0.0148676 | − | 0.0457577i | ||||
\(433\) | 1.63150 | 0.0784048 | 0.0392024 | − | 0.999231i | \(-0.487518\pi\) | ||||
0.0392024 | + | 0.999231i | \(0.487518\pi\) | |||||||
\(434\) | 0.205489 | + | 2.31572i | 0.00986377 | + | 0.111158i | ||||
\(435\) | 8.38826 | 0.402186 | ||||||||
\(436\) | 5.17771 | − | 15.9353i | 0.247967 | − | 0.763164i | ||||
\(437\) | 10.2032 | + | 2.16876i | 0.488087 | + | 0.103746i | ||||
\(438\) | −3.49055 | − | 2.53603i | −0.166785 | − | 0.121176i | ||||
\(439\) | 9.33346 | + | 16.1660i | 0.445462 | + | 0.771562i | 0.998084 | − | 0.0618693i | \(-0.0197062\pi\) |
−0.552623 | + | 0.833432i | \(0.686373\pi\) | |||||||
\(440\) | −1.31995 | + | 2.28621i | −0.0629260 | + | 0.108991i | ||||
\(441\) | −6.23554 | + | 2.77624i | −0.296931 | + | 0.132202i | ||||
\(442\) | −13.0529 | + | 9.48351i | −0.620864 | + | 0.451084i | ||||
\(443\) | 10.4587 | + | 4.65649i | 0.496905 | + | 0.221237i | 0.639858 | − | 0.768493i | \(-0.278993\pi\) |
−0.142953 | + | 0.989730i | \(0.545660\pi\) | |||||||
\(444\) | −6.71859 | + | 1.42808i | −0.318850 | + | 0.0677737i | ||||
\(445\) | −0.398698 | + | 3.79336i | −0.0189001 | + | 0.179822i | ||||
\(446\) | −12.5271 | − | 13.9128i | −0.593176 | − | 0.658789i | ||||
\(447\) | −12.9326 | + | 14.3631i | −0.611690 | + | 0.679350i | ||||
\(448\) | 0.0436459 | + | 0.415263i | 0.00206208 | + | 0.0196193i | ||||
\(449\) | 0.201086 | + | 0.618878i | 0.00948981 | + | 0.0292066i | 0.955689 | − | 0.294377i | \(-0.0951122\pi\) |
−0.946199 | + | 0.323584i | \(0.895112\pi\) | |||||||
\(450\) | −0.309017 | − | 0.951057i | −0.0145672 | − | 0.0448332i | ||||
\(451\) | −3.01487 | − | 28.6846i | −0.141965 | − | 1.35070i | ||||
\(452\) | 12.2376 | − | 13.5912i | 0.575607 | − | 0.639277i | ||||
\(453\) | −4.43122 | − | 4.92137i | −0.208197 | − | 0.231226i | ||||
\(454\) | −1.95489 | + | 18.5995i | −0.0917476 | + | 0.872920i | ||||
\(455\) | 1.17109 | − | 0.248924i | 0.0549017 | − | 0.0116697i | ||||
\(456\) | −2.70324 | − | 1.20356i | −0.126591 | − | 0.0563618i | ||||
\(457\) | −13.2297 | + | 9.61192i | −0.618858 | + | 0.449627i | −0.852522 | − | 0.522691i | \(-0.824928\pi\) |
0.233664 | + | 0.972317i | \(0.424928\pi\) | |||||||
\(458\) | −14.6595 | + | 6.52683i | −0.684994 | + | 0.304979i | ||||
\(459\) | −2.81347 | + | 4.87307i | −0.131322 | + | 0.227456i | ||||
\(460\) | −1.76258 | − | 3.05288i | −0.0821809 | − | 0.142341i | ||||
\(461\) | −17.6218 | − | 12.8030i | −0.820730 | − | 0.596295i | 0.0961918 | − | 0.995363i | \(-0.469334\pi\) |
−0.916921 | + | 0.399068i | \(0.869334\pi\) | |||||||
\(462\) | −1.07820 | − | 0.229179i | −0.0501625 | − | 0.0106624i | ||||
\(463\) | −1.54391 | + | 4.75167i | −0.0717516 | + | 0.220829i | −0.980501 | − | 0.196513i | \(-0.937038\pi\) |
0.908750 | + | 0.417342i | \(0.137038\pi\) | |||||||
\(464\) | −8.38826 | −0.389415 | ||||||||
\(465\) | 1.63445 | + | 5.32246i | 0.0757957 | + | 0.246823i | ||||
\(466\) | −5.36102 | −0.248345 | ||||||||
\(467\) | 1.68090 | − | 5.17327i | 0.0777826 | − | 0.239390i | −0.904603 | − | 0.426255i | \(-0.859833\pi\) |
0.982386 | + | 0.186865i | \(0.0598326\pi\) | |||||||
\(468\) | 2.80467 | + | 0.596152i | 0.129646 | + | 0.0275571i | ||||
\(469\) | 0.194938 | + | 0.141631i | 0.00900140 | + | 0.00653990i | ||||
\(470\) | 4.87768 | + | 8.44839i | 0.224991 | + | 0.389695i | ||||
\(471\) | 3.73173 | − | 6.46355i | 0.171949 | − | 0.297825i | ||||
\(472\) | −1.55784 | + | 0.693593i | −0.0717052 | + | 0.0319252i | ||||
\(473\) | −20.9614 | + | 15.2293i | −0.963804 | + | 0.700245i | ||||
\(474\) | −5.19576 | − | 2.31330i | −0.238649 | − | 0.106253i | ||||
\(475\) | −2.89440 | + | 0.615223i | −0.132804 | + | 0.0282284i | ||||
\(476\) | 0.245593 | − | 2.33666i | 0.0112567 | − | 0.107101i | ||||
\(477\) | −2.24861 | − | 2.49733i | −0.102957 | − | 0.114345i | ||||
\(478\) | −7.25804 | + | 8.06087i | −0.331975 | + | 0.368695i | ||||
\(479\) | −2.80177 | − | 26.6570i | −0.128016 | − | 1.21799i | −0.850264 | − | 0.526357i | \(-0.823558\pi\) |
0.722248 | − | 0.691635i | \(-0.243109\pi\) | |||||||
\(480\) | 0.309017 | + | 0.951057i | 0.0141046 | + | 0.0434096i | ||||
\(481\) | −6.08603 | − | 18.7309i | −0.277499 | − | 0.854055i | ||||
\(482\) | −0.397774 | − | 3.78457i | −0.0181181 | − | 0.172383i | ||||
\(483\) | 0.984917 | − | 1.09386i | 0.0448153 | − | 0.0497724i | ||||
\(484\) | −2.69724 | − | 2.99559i | −0.122602 | − | 0.136163i | ||||
\(485\) | −0.818472 | + | 7.78724i | −0.0371649 | + | 0.353600i | ||||
\(486\) | 0.978148 | − | 0.207912i | 0.0443697 | − | 0.00943107i | ||||
\(487\) | −28.8653 | − | 12.8517i | −1.30801 | − | 0.582364i | −0.370021 | − | 0.929023i | \(-0.620649\pi\) |
−0.937991 | + | 0.346659i | \(0.887316\pi\) | |||||||
\(488\) | −7.61012 | + | 5.52908i | −0.344494 | + | 0.250290i | ||||
\(489\) | −15.2041 | + | 6.76929i | −0.687552 | + | 0.306118i | ||||
\(490\) | 3.41283 | − | 5.91119i | 0.154176 | − | 0.267040i | ||||
\(491\) | 14.6512 | + | 25.3767i | 0.661200 | + | 1.14523i | 0.980301 | + | 0.197512i | \(0.0632861\pi\) |
−0.319100 | + | 0.947721i | \(0.603381\pi\) | |||||||
\(492\) | −8.83905 | − | 6.42194i | −0.398495 | − | 0.289524i | ||||
\(493\) | 46.1688 | + | 9.81348i | 2.07934 | + | 0.441977i | ||||
\(494\) | 2.62189 | − | 8.06934i | 0.117964 | − | 0.363057i | ||||
\(495\) | −2.63989 | −0.118654 | ||||||||
\(496\) | −1.63445 | − | 5.32246i | −0.0733888 | − | 0.238986i | ||||
\(497\) | 1.15734 | 0.0519136 | ||||||||
\(498\) | −2.96859 | + | 9.13637i | −0.133025 | + | 0.409410i | ||||
\(499\) | −19.4516 | − | 4.13458i | −0.870775 | − | 0.185089i | −0.249208 | − | 0.968450i | \(-0.580170\pi\) |
−0.621567 | + | 0.783361i | \(0.713504\pi\) | |||||||
\(500\) | 0.809017 | + | 0.587785i | 0.0361803 | + | 0.0262866i | ||||
\(501\) | 4.74902 | + | 8.22555i | 0.212171 | + | 0.367490i | ||||
\(502\) | −10.3724 | + | 17.9654i | −0.462941 | + | 0.801837i | ||||
\(503\) | 0.251834 | − | 0.112124i | 0.0112287 | − | 0.00499936i | −0.401115 | − | 0.916028i | \(-0.631377\pi\) |
0.412343 | + | 0.911029i | \(0.364710\pi\) | |||||||
\(504\) | −0.337806 | + | 0.245430i | −0.0150471 | + | 0.0109323i | ||||
\(505\) | −7.33155 | − | 3.26421i | −0.326249 | − | 0.145256i | ||||
\(506\) | −9.10271 | + | 1.93484i | −0.404665 | + | 0.0860141i | ||||
\(507\) | 0.499479 | − | 4.75223i | 0.0221827 | − | 0.211054i | ||||
\(508\) | 5.62232 | + | 6.24422i | 0.249450 | + | 0.277042i | ||||
\(509\) | −3.12577 | + | 3.47152i | −0.138547 | + | 0.153873i | −0.808425 | − | 0.588599i | \(-0.799680\pi\) |
0.669878 | + | 0.742471i | \(0.266346\pi\) | |||||||
\(510\) | −0.588175 | − | 5.59612i | −0.0260448 | − | 0.247800i | ||||
\(511\) | 0.556708 | + | 1.71337i | 0.0246273 | + | 0.0757951i | ||||
\(512\) | −0.309017 | − | 0.951057i | −0.0136568 | − | 0.0420312i | ||||
\(513\) | −0.309306 | − | 2.94285i | −0.0136562 | − | 0.129930i | ||||
\(514\) | 15.5150 | − | 17.2311i | 0.684336 | − | 0.760032i | ||||
\(515\) | 1.68458 | + | 1.87091i | 0.0742314 | + | 0.0824423i | ||||
\(516\) | −1.02591 | + | 9.76090i | −0.0451632 | + | 0.429700i | ||||
\(517\) | 25.1903 | − | 5.35437i | 1.10787 | − | 0.235485i | ||||
\(518\) | 2.62007 | + | 1.16653i | 0.115119 | + | 0.0512544i | ||||
\(519\) | −16.5341 | + | 12.0127i | −0.725767 | + | 0.527300i | ||||
\(520\) | −2.61944 | + | 1.16625i | −0.114870 | + | 0.0511434i | ||||
\(521\) | 8.80642 | − | 15.2532i | 0.385816 | − | 0.668254i | −0.606066 | − | 0.795415i | \(-0.707253\pi\) |
0.991882 | + | 0.127161i | \(0.0405865\pi\) | |||||||
\(522\) | −4.19413 | − | 7.26444i | −0.183572 | − | 0.317956i | ||||
\(523\) | −11.1327 | − | 8.08838i | −0.486799 | − | 0.353680i | 0.317153 | − | 0.948374i | \(-0.397273\pi\) |
−0.803952 | + | 0.594694i | \(0.797273\pi\) | |||||||
\(524\) | −13.9579 | − | 2.96684i | −0.609753 | − | 0.129607i | ||||
\(525\) | −0.129030 | + | 0.397114i | −0.00563134 | + | 0.0173315i | ||||
\(526\) | −29.2788 | −1.27662 | ||||||||
\(527\) | 2.76918 | + | 31.2069i | 0.120627 | + | 1.35939i | ||||
\(528\) | 2.63989 | 0.114887 | ||||||||
\(529\) | −3.26730 | + | 10.0557i | −0.142056 | + | 0.437205i | ||||
\(530\) | 3.28706 | + | 0.698685i | 0.142781 | + | 0.0303490i | ||||
\(531\) | −1.37959 | − | 1.00233i | −0.0598690 | − | 0.0434974i | ||||
\(532\) | 0.617779 | + | 1.07002i | 0.0267841 | + | 0.0463914i | ||||
\(533\) | 15.6638 | − | 27.1304i | 0.678472 | − | 1.17515i | ||||
\(534\) | 3.48449 | − | 1.55140i | 0.150789 | − | 0.0671355i | ||||
\(535\) | 13.3027 | − | 9.66494i | 0.575124 | − | 0.417852i | ||||
\(536\) | −0.527181 | − | 0.234716i | −0.0227708 | − | 0.0101382i | ||||
\(537\) | 12.4052 | − | 2.63681i | 0.535324 | − | 0.113787i | ||||
\(538\) | 0.818210 | − | 7.78475i | 0.0352755 | − | 0.335624i | ||||
\(539\) | −12.0571 | − | 13.3907i | −0.519334 | − | 0.576779i | ||||
\(540\) | −0.669131 | + | 0.743145i | −0.0287948 | + | 0.0319799i | ||||
\(541\) | −2.30090 | − | 21.8916i | −0.0989234 | − | 0.941193i | −0.925597 | − | 0.378511i | \(-0.876436\pi\) |
0.826673 | − | 0.562682i | \(-0.190230\pi\) | |||||||
\(542\) | −0.360223 | − | 1.10865i | −0.0154729 | − | 0.0476207i | ||||
\(543\) | 0.100599 | + | 0.309613i | 0.00431713 | + | 0.0132867i | ||||
\(544\) | 0.588175 | + | 5.59612i | 0.0252178 | + | 0.239931i | ||||
\(545\) | −11.2116 | + | 12.4517i | −0.480250 | + | 0.533372i | ||||
\(546\) | −0.801121 | − | 0.889735i | −0.0342848 | − | 0.0380771i | ||||
\(547\) | −4.69936 | + | 44.7114i | −0.200930 | + | 1.91172i | 0.174134 | + | 0.984722i | \(0.444287\pi\) |
−0.375064 | + | 0.926999i | \(0.622379\pi\) | |||||||
\(548\) | 17.0883 | − | 3.63223i | 0.729977 | − | 0.155161i | ||||
\(549\) | −8.59338 | − | 3.82602i | −0.366757 | − | 0.163291i | ||||
\(550\) | 2.13572 | − | 1.55169i | 0.0910674 | − | 0.0661643i | ||||
\(551\) | −22.6754 | + | 10.0958i | −0.966006 | + | 0.430093i | ||||
\(552\) | −1.76258 | + | 3.05288i | −0.0750205 | + | 0.129939i | ||||
\(553\) | 1.18740 | + | 2.05664i | 0.0504935 | + | 0.0874573i | ||||
\(554\) | 23.7424 | + | 17.2499i | 1.00872 | + | 0.732877i | ||||
\(555\) | 6.71859 | + | 1.42808i | 0.285188 | + | 0.0606187i | ||||
\(556\) | 6.46929 | − | 19.9104i | 0.274359 | − | 0.844391i | ||||
\(557\) | −29.6915 | −1.25807 | −0.629035 | − | 0.777377i | \(-0.716550\pi\) | ||||
−0.629035 | + | 0.777377i | \(0.716550\pi\) | |||||||
\(558\) | 3.79216 | − | 4.07670i | 0.160535 | − | 0.172581i | ||||
\(559\) | −28.1419 | −1.19028 | ||||||||
\(560\) | 0.129030 | − | 0.397114i | 0.00545252 | − | 0.0167811i | ||||
\(561\) | −14.5299 | − | 3.08843i | −0.613454 | − | 0.130394i | ||||
\(562\) | 20.8273 | + | 15.1319i | 0.878547 | + | 0.638301i | ||||
\(563\) | 8.64266 | + | 14.9695i | 0.364245 | + | 0.630891i | 0.988655 | − | 0.150206i | \(-0.0479938\pi\) |
−0.624410 | + | 0.781097i | \(0.714660\pi\) | |||||||
\(564\) | 4.87768 | − | 8.44839i | 0.205387 | − | 0.355741i | ||||
\(565\) | −16.7076 | + | 7.43872i | −0.702895 | + | 0.312949i | ||||
\(566\) | 6.89405 | − | 5.00882i | 0.289779 | − | 0.210537i | ||||
\(567\) | −0.381451 | − | 0.169833i | −0.0160195 | − | 0.00713232i | ||||
\(568\) | −2.71116 | + | 0.576274i | −0.113758 | + | 0.0241799i | ||||
\(569\) | −4.10606 | + | 39.0666i | −0.172135 | + | 1.63776i | 0.478301 | + | 0.878196i | \(0.341253\pi\) |
−0.650436 | + | 0.759561i | \(0.725414\pi\) | |||||||
\(570\) | 1.98000 | + | 2.19901i | 0.0829330 | + | 0.0921064i | ||||
\(571\) | −11.5636 | + | 12.8427i | −0.483921 | + | 0.537448i | −0.934818 | − | 0.355128i | \(-0.884437\pi\) |
0.450897 | + | 0.892576i | \(0.351104\pi\) | |||||||
\(572\) | 0.791223 | + | 7.52799i | 0.0330827 | + | 0.314761i | ||||
\(573\) | −2.14563 | − | 6.60357i | −0.0896349 | − | 0.275868i | ||||
\(574\) | 1.40974 | + | 4.33874i | 0.0588415 | + | 0.181095i | ||||
\(575\) | 0.368480 | + | 3.50586i | 0.0153667 | + | 0.146204i | ||||
\(576\) | 0.669131 | − | 0.743145i | 0.0278804 | − | 0.0309644i | ||||
\(577\) | −13.4680 | − | 14.9577i | −0.560680 | − | 0.622698i | 0.394439 | − | 0.918922i | \(-0.370939\pi\) |
−0.955118 | + | 0.296224i | \(0.904272\pi\) | |||||||
\(578\) | 1.53264 | − | 14.5821i | 0.0637496 | − | 0.606537i | ||||
\(579\) | −10.5808 | + | 2.24901i | −0.439722 | + | 0.0934657i | ||||
\(580\) | 7.66305 | + | 3.41181i | 0.318191 | + | 0.141668i | ||||
\(581\) | 3.24514 | − | 2.35774i | 0.134631 | − | 0.0978153i | ||||
\(582\) | 7.15318 | − | 3.18480i | 0.296509 | − | 0.132014i | ||||
\(583\) | 4.43567 | − | 7.68280i | 0.183707 | − | 0.318189i | ||||
\(584\) | −2.15728 | − | 3.73651i | −0.0892688 | − | 0.154618i | ||||
\(585\) | −2.31972 | − | 1.68538i | −0.0959086 | − | 0.0696817i | ||||
\(586\) | −6.97393 | − | 1.48235i | −0.288090 | − | 0.0612355i | ||||
\(587\) | −2.48478 | + | 7.64737i | −0.102558 | + | 0.315641i | −0.989150 | − | 0.146912i | \(-0.953067\pi\) |
0.886592 | + | 0.462553i | \(0.153067\pi\) | |||||||
\(588\) | −6.82565 | −0.281485 | ||||||||
\(589\) | −10.8242 | − | 12.4207i | −0.446003 | − | 0.511786i | ||||
\(590\) | 1.70526 | 0.0702046 | ||||||||
\(591\) | −1.89487 | + | 5.83182i | −0.0779447 | + | 0.239889i | ||||
\(592\) | −6.71859 | − | 1.42808i | −0.276132 | − | 0.0586938i | ||||
\(593\) | −6.50793 | − | 4.72829i | −0.267249 | − | 0.194168i | 0.446088 | − | 0.894989i | \(-0.352817\pi\) |
−0.713337 | + | 0.700822i | \(0.752817\pi\) | |||||||
\(594\) | 1.31995 | + | 2.28621i | 0.0541581 | + | 0.0938045i | ||||
\(595\) | −1.17477 | + | 2.03475i | −0.0481607 | + | 0.0834168i | ||||
\(596\) | −17.6565 | + | 7.86117i | −0.723238 | + | 0.322006i | ||||
\(597\) | −11.3301 | + | 8.23182i | −0.463711 | + | 0.336906i | ||||
\(598\) | −9.23396 | − | 4.11122i | −0.377605 | − | 0.168120i | ||||
\(599\) | 10.8113 | − | 2.29801i | 0.441738 | − | 0.0938943i | 0.0183270 | − | 0.999832i | \(-0.494166\pi\) |
0.423411 | + | 0.905938i | \(0.360833\pi\) | |||||||
\(600\) | 0.104528 | − | 0.994522i | 0.00426736 | − | 0.0406012i | ||||
\(601\) | −2.80988 | − | 3.12069i | −0.114617 | − | 0.127295i | 0.683106 | − | 0.730320i | \(-0.260629\pi\) |
−0.797723 | + | 0.603024i | \(0.793962\pi\) | |||||||
\(602\) | 2.74218 | − | 3.04550i | 0.111763 | − | 0.124125i | ||||
\(603\) | −0.0603204 | − | 0.573910i | −0.00245644 | − | 0.0233714i | ||||
\(604\) | −2.04642 | − | 6.29823i | −0.0832676 | − | 0.256271i | ||||
\(605\) | 1.24564 | + | 3.83367i | 0.0506423 | + | 0.155861i | ||||
\(606\) | 0.838880 | + | 7.98141i | 0.0340772 | + | 0.324223i | ||||
\(607\) | 5.11712 | − | 5.68314i | 0.207697 | − | 0.230671i | −0.630292 | − | 0.776359i | \(-0.717065\pi\) |
0.837989 | + | 0.545687i | \(0.183731\pi\) | |||||||
\(608\) | −1.98000 | − | 2.19901i | −0.0802995 | − | 0.0891816i | ||||
\(609\) | −0.366113 | + | 3.48333i | −0.0148357 | + | 0.141152i | ||||
\(610\) | 9.20107 | − | 1.95575i | 0.372541 | − | 0.0791859i | ||||
\(611\) | 25.5536 | + | 11.3772i | 1.03379 | + | 0.460271i | ||||
\(612\) | −4.55229 | + | 3.30743i | −0.184015 | + | 0.133695i | ||||
\(613\) | −29.1512 | + | 12.9790i | −1.17741 | + | 0.524216i | −0.899725 | − | 0.436457i | \(-0.856233\pi\) |
−0.277683 | + | 0.960673i | \(0.589566\pi\) | |||||||
\(614\) | 6.60936 | − | 11.4478i | 0.266732 | − | 0.461994i | ||||
\(615\) | 5.46283 | + | 9.46190i | 0.220283 | + | 0.381541i | ||||
\(616\) | −0.891771 | − | 0.647909i | −0.0359305 | − | 0.0261050i | ||||
\(617\) | 38.6556 | + | 8.21650i | 1.55622 | + | 0.330784i | 0.904095 | − | 0.427332i | \(-0.140546\pi\) |
0.652120 | + | 0.758116i | \(0.273880\pi\) | |||||||
\(618\) | 0.777970 | − | 2.39435i | 0.0312945 | − | 0.0963147i | ||||
\(619\) | 21.6246 | 0.869166 | 0.434583 | − | 0.900632i | \(-0.356896\pi\) | ||||
0.434583 | + | 0.900632i | \(0.356896\pi\) | |||||||
\(620\) | −0.671698 | + | 5.52710i | −0.0269760 | + | 0.221974i | ||||
\(621\) | −3.52517 | −0.141460 | ||||||||
\(622\) | −6.71756 | + | 20.6745i | −0.269350 | + | 0.828973i | ||||
\(623\) | −1.55784 | − | 0.331129i | −0.0624136 | − | 0.0132664i | ||||
\(624\) | 2.31972 | + | 1.68538i | 0.0928631 | + | 0.0674690i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −10.6409 | + | 18.4306i | −0.425296 | + | 0.736634i | ||||
\(627\) | 7.13625 | − | 3.17726i | 0.284995 | − | 0.126888i | ||||
\(628\) | 6.03807 | − | 4.38691i | 0.240945 | − | 0.175057i | ||||
\(629\) | 35.3083 | + | 15.7203i | 1.40783 | + | 0.626807i | ||||
\(630\) | 0.408426 | − | 0.0868137i | 0.0162721 | − | 0.00345874i | ||||
\(631\) | −0.586173 | + | 5.57706i | −0.0233352 | + | 0.222019i | 0.976639 | + | 0.214885i | \(0.0689376\pi\) |
−0.999975 | + | 0.00713436i | \(0.997729\pi\) | |||||||
\(632\) | −3.80566 | − | 4.22661i | −0.151381 | − | 0.168126i | ||||
\(633\) | 1.95087 | − | 2.16666i | 0.0775400 | − | 0.0861168i | ||||
\(634\) | −2.26146 | − | 21.5164i | −0.0898142 | − | 0.854525i | ||||
\(635\) | −2.59649 | − | 7.99118i | −0.103039 | − | 0.317120i | ||||
\(636\) | −1.03845 | − | 3.19602i | −0.0411772 | − | 0.126730i | ||||
\(637\) | −2.04577 | − | 19.4642i | −0.0810563 | − | 0.771200i | ||||
\(638\) | 14.8173 | − | 16.4563i | 0.586622 | − | 0.651510i | ||||
\(639\) | −1.85465 | − | 2.05979i | −0.0733687 | − | 0.0814842i | ||||
\(640\) | −0.104528 | + | 0.994522i | −0.00413185 | + | 0.0393119i | ||||
\(641\) | −26.0886 | + | 5.54531i | −1.03044 | + | 0.219027i | −0.691951 | − | 0.721944i | \(-0.743249\pi\) |
−0.338488 | + | 0.940971i | \(0.609915\pi\) | |||||||
\(642\) | −15.0214 | − | 6.68796i | −0.592848 | − | 0.263953i | ||||
\(643\) | −10.9623 | + | 7.96458i | −0.432311 | + | 0.314092i | −0.782572 | − | 0.622560i | \(-0.786093\pi\) |
0.350261 | + | 0.936652i | \(0.386093\pi\) | |||||||
\(644\) | 1.34468 | − | 0.598690i | 0.0529878 | − | 0.0235917i | ||||
\(645\) | 4.90733 | − | 8.49975i | 0.193226 | − | 0.334677i | ||||
\(646\) | 8.32523 | + | 14.4197i | 0.327552 | + | 0.567336i | ||||
\(647\) | 11.8390 | + | 8.60153i | 0.465439 | + | 0.338161i | 0.795661 | − | 0.605742i | \(-0.207124\pi\) |
−0.330222 | + | 0.943903i | \(0.607124\pi\) | |||||||
\(648\) | 0.978148 | + | 0.207912i | 0.0384253 | + | 0.00816754i | ||||
\(649\) | 1.39111 | − | 4.28138i | 0.0546057 | − | 0.168059i | ||||
\(650\) | 2.86733 | 0.112466 | ||||||||
\(651\) | −2.28156 | + | 0.446422i | −0.0894213 | + | 0.0174967i | ||||
\(652\) | −16.6429 | −0.651787 | ||||||||
\(653\) | 1.79927 | − | 5.53757i | 0.0704108 | − | 0.216702i | −0.909659 | − | 0.415356i | \(-0.863657\pi\) |
0.980070 | + | 0.198654i | \(0.0636570\pi\) | |||||||
\(654\) | 16.3893 | + | 3.48364i | 0.640871 | + | 0.136221i | ||||
\(655\) | 11.5444 | + | 8.38753i | 0.451079 | + | 0.327728i | ||||
\(656\) | −5.46283 | − | 9.46190i | −0.213288 | − | 0.369425i | ||||
\(657\) | 2.15728 | − | 3.73651i | 0.0841634 | − | 0.145775i | ||||
\(658\) | −3.72120 | + | 1.65678i | −0.145067 | + | 0.0645881i | ||||
\(659\) | 16.9680 | − | 12.3280i | 0.660979 | − | 0.480229i | −0.206014 | − | 0.978549i | \(-0.566049\pi\) |
0.866993 | + | 0.498320i | \(0.166049\pi\) | |||||||
\(660\) | −2.41166 | − | 1.07374i | −0.0938738 | − | 0.0417953i | ||||
\(661\) | −26.1547 | + | 5.55936i | −1.01730 | + | 0.216234i | −0.686240 | − | 0.727375i | \(-0.740740\pi\) |
−0.331061 | + | 0.943609i | \(0.607407\pi\) | |||||||
\(662\) | 1.85061 | − | 17.6074i | 0.0719261 | − | 0.684331i | ||||
\(663\) | −10.7960 | − | 11.9901i | −0.419280 | − | 0.465658i | ||||
\(664\) | −6.42803 | + | 7.13905i | −0.249456 | + | 0.277049i | ||||
\(665\) | −0.129151 | − | 1.22879i | −0.00500826 | − | 0.0476504i | ||||
\(666\) | −2.12254 | − | 6.53251i | −0.0822468 | − | 0.253130i | ||||
\(667\) | 9.13763 | + | 28.1227i | 0.353811 | + | 1.08892i | ||||
\(668\) | 0.992816 | + | 9.44601i | 0.0384132 | + | 0.365477i | ||||
\(669\) | 12.5271 | − | 13.9128i | 0.484326 | − | 0.537899i | ||||
\(670\) | 0.386136 | + | 0.428848i | 0.0149177 | + | 0.0165678i | ||||
\(671\) | 2.59570 | − | 24.6965i | 0.100206 | − | 0.953397i | ||||
\(672\) | −0.408426 | + | 0.0868137i | −0.0157554 | + | 0.00334891i | ||||
\(673\) | 32.8638 | + | 14.6319i | 1.26681 | + | 0.564019i | 0.926500 | − | 0.376295i | \(-0.122802\pi\) |
0.340308 | + | 0.940314i | \(0.389469\pi\) | |||||||
\(674\) | −13.2991 | + | 9.66235i | −0.512262 | + | 0.372180i | ||||
\(675\) | 0.913545 | − | 0.406737i | 0.0351624 | − | 0.0156553i | ||||
\(676\) | 2.38920 | − | 4.13822i | 0.0918924 | − | 0.159162i | ||||
\(677\) | 7.30557 | + | 12.6536i | 0.280776 | + | 0.486318i | 0.971576 | − | 0.236727i | \(-0.0760748\pi\) |
−0.690800 | + | 0.723046i | \(0.742742\pi\) | |||||||
\(678\) | 14.7959 | + | 10.7499i | 0.568234 | + | 0.412846i | ||||
\(679\) | −3.19803 | − | 0.679762i | −0.122729 | − | 0.0260869i | ||||
\(680\) | 1.73882 | − | 5.35154i | 0.0666807 | − | 0.205222i | ||||
\(681\) | −18.7020 | −0.716662 | ||||||||
\(682\) | 13.3289 | + | 6.19528i | 0.510389 | + | 0.237229i | ||||
\(683\) | 16.3383 | 0.625169 | 0.312584 | − | 0.949890i | \(-0.398805\pi\) | ||||
0.312584 | + | 0.949890i | \(0.398805\pi\) | |||||||
\(684\) | 0.914400 | − | 2.81423i | 0.0349629 | − | 0.107605i | ||||
\(685\) | −17.0883 | − | 3.63223i | −0.652911 | − | 0.138781i | ||||
\(686\) | 4.67038 | + | 3.39323i | 0.178316 | + | 0.129554i | ||||
\(687\) | −8.02342 | − | 13.8970i | −0.306112 | − | 0.530202i | ||||
\(688\) | −4.90733 | + | 8.49975i | −0.187090 | + | 0.324050i | ||||
\(689\) | 8.80260 | − | 3.91917i | 0.335352 | − | 0.149308i | ||||
\(690\) | 2.85192 | − | 2.07204i | 0.108571 | − | 0.0788813i | ||||
\(691\) | 42.4354 | + | 18.8934i | 1.61432 | + | 0.718740i | 0.997652 | − | 0.0684850i | \(-0.0218165\pi\) |
0.616665 | + | 0.787225i | \(0.288483\pi\) | |||||||
\(692\) | −19.9907 | + | 4.24915i | −0.759931 | + | 0.161528i | ||||
\(693\) | 0.115221 | − | 1.09625i | 0.00437687 | − | 0.0416431i | ||||
\(694\) | 9.28770 | + | 10.3150i | 0.352556 | + | 0.391553i | ||||
\(695\) | −14.0083 | + | 15.5578i | −0.531365 | + | 0.590141i | ||||
\(696\) | −0.876811 | − | 8.34230i | −0.0332355 | − | 0.316214i | ||||
\(697\) | 18.9978 | + | 58.4691i | 0.719592 | + | 2.21468i | ||||
\(698\) | −4.61625 | − | 14.2074i | −0.174728 | − | 0.537757i | ||||
\(699\) | −0.560380 | − | 5.33166i | −0.0211955 | − | 0.201662i | ||||
\(700\) | −0.279396 | + | 0.310301i | −0.0105602 | + | 0.0117283i | ||||
\(701\) | 32.5263 | + | 36.1241i | 1.22850 | + | 1.36439i | 0.908996 | + | 0.416804i | \(0.136850\pi\) |
0.319505 | + | 0.947585i | \(0.396483\pi\) | |||||||
\(702\) | −0.299718 | + | 2.85162i | −0.0113121 | + | 0.107628i | ||||
\(703\) | −19.8807 | + | 4.22578i | −0.749815 | + | 0.159378i | ||||
\(704\) | 2.41166 | + | 1.07374i | 0.0908930 | + | 0.0404682i | ||||
\(705\) | −7.89225 | + | 5.73406i | −0.297239 | + | 0.215957i | ||||
\(706\) | −14.9395 | + | 6.65151i | −0.562257 | + | 0.250333i | ||||
\(707\) | 1.67550 | − | 2.90205i | 0.0630137 | − | 0.109143i | ||||
\(708\) | −0.852632 | − | 1.47680i | −0.0320439 | − | 0.0555016i | ||||
\(709\) | 15.4717 | + | 11.2408i | 0.581050 | + | 0.422158i | 0.839103 | − | 0.543973i | \(-0.183081\pi\) |
−0.258052 | + | 0.966131i | \(0.583081\pi\) | |||||||
\(710\) | 2.71116 | + | 0.576274i | 0.101748 | + | 0.0216272i | ||||
\(711\) | 1.75752 | − | 5.40911i | 0.0659123 | − | 0.202857i | ||||
\(712\) | 3.81425 | 0.142945 | ||||||||
\(713\) | −16.0638 | + | 11.2777i | −0.601594 | + | 0.422351i | ||||
\(714\) | 2.34953 | 0.0879290 | ||||||||
\(715\) | 2.33909 | − | 7.19898i | 0.0874770 | − | 0.269226i | ||||
\(716\) | 12.4052 | + | 2.63681i | 0.463604 | + | 0.0985421i | ||||
\(717\) | −8.77538 | − | 6.37569i | −0.327723 | − | 0.238104i | ||||
\(718\) | 1.97552 | + | 3.42169i | 0.0737256 | + | 0.127696i | ||||
\(719\) | 1.02646 | − | 1.77787i | 0.0382803 | − | 0.0663035i | −0.846250 | − | 0.532785i | \(-0.821145\pi\) |
0.884531 | + | 0.466482i | \(0.154479\pi\) | |||||||
\(720\) | −0.913545 | + | 0.406737i | −0.0340458 | + | 0.0151582i | ||||
\(721\) | −0.850447 | + | 0.617886i | −0.0316723 | + | 0.0230113i | ||||
\(722\) | 9.35833 | + | 4.16660i | 0.348281 | + | 0.155065i | ||||
\(723\) | 3.72226 | − | 0.791191i | 0.138432 | − | 0.0294247i | ||||
\(724\) | −0.0340288 | + | 0.323763i | −0.00126467 | + | 0.0120325i | ||||
\(725\) | −5.61284 | − | 6.23369i | −0.208456 | − | 0.231513i | ||||
\(726\) | 2.69724 | − | 2.99559i | 0.100104 | − | 0.111177i | ||||
\(727\) | 2.45815 | + | 23.3878i | 0.0911679 | + | 0.867405i | 0.940557 | + | 0.339637i | \(0.110304\pi\) |
−0.849389 | + | 0.527768i | \(0.823029\pi\) | |||||||
\(728\) | −0.369973 | − | 1.13866i | −0.0137121 | − | 0.0422015i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 0.450994 | + | 4.29092i | 0.0166920 | + | 0.158814i | ||||
\(731\) | 36.9538 | − | 41.0413i | 1.36678 | − | 1.51797i | ||||
\(732\) | −6.29426 | − | 6.99049i | −0.232643 | − | 0.258376i | ||||
\(733\) | 0.463638 | − | 4.41122i | 0.0171249 | − | 0.162932i | −0.982617 | − | 0.185643i | \(-0.940563\pi\) |
0.999742 | + | 0.0227111i | \(0.00722980\pi\) | |||||||
\(734\) | −20.3429 | + | 4.32403i | −0.750872 | + | 0.159603i | ||||
\(735\) | 6.23554 | + | 2.77624i | 0.230001 | + | 0.102403i | ||||
\(736\) | −2.85192 | + | 2.07204i | −0.105123 | + | 0.0763765i | ||||
\(737\) | 1.39170 | − | 0.619626i | 0.0512640 | − | 0.0228242i | ||||
\(738\) | 5.46283 | − | 9.46190i | 0.201090 | − | 0.348297i | ||||
\(739\) | −10.9005 | − | 18.8801i | −0.400980 | − | 0.694517i | 0.592865 | − | 0.805302i | \(-0.297997\pi\) |
−0.993844 | + | 0.110785i | \(0.964664\pi\) | |||||||
\(740\) | 5.55689 | + | 4.03731i | 0.204275 | + | 0.148415i | ||||
\(741\) | 8.29920 | + | 1.76405i | 0.304879 | + | 0.0648040i | ||||
\(742\) | −0.433605 | + | 1.33450i | −0.0159181 | + | 0.0489910i | ||||
\(743\) | −36.9056 | −1.35393 | −0.676967 | − | 0.736013i | \(-0.736706\pi\) | ||||
−0.676967 | + | 0.736013i | \(0.736706\pi\) | |||||||
\(744\) | 5.12246 | − | 2.18184i | 0.187798 | − | 0.0799902i | ||||
\(745\) | 19.3274 | 0.708102 | ||||||||
\(746\) | 11.8911 | − | 36.5969i | 0.435362 | − | 1.33991i | ||||
\(747\) | −9.39662 | − | 1.99731i | −0.343804 | − | 0.0730779i | ||||
\(748\) | −12.0176 | − | 8.73127i | −0.439406 | − | 0.319247i | ||||
\(749\) | 3.43289 | + | 5.94594i | 0.125435 | + | 0.217260i | ||||
\(750\) | −0.500000 | + | 0.866025i | −0.0182574 | + | 0.0316228i | ||||
\(751\) | 37.8747 | − | 16.8629i | 1.38207 | − | 0.615336i | 0.424999 | − | 0.905194i | \(-0.360275\pi\) |
0.957070 | + | 0.289858i | \(0.0936079\pi\) | |||||||
\(752\) | 7.89225 | − | 5.73406i | 0.287801 | − | 0.209100i | ||||
\(753\) | −18.9512 | − | 8.43763i | −0.690622 | − | 0.307485i | ||||
\(754\) | 23.5263 | − | 5.00067i | 0.856778 | − | 0.182114i | ||||
\(755\) | −0.692224 | + | 6.58607i | −0.0251926 | + | 0.239692i | ||||
\(756\) | −0.279396 | − | 0.310301i | −0.0101615 | − | 0.0112855i | ||||
\(757\) | −8.07898 | + | 8.97261i | −0.293635 | + | 0.326115i | −0.871853 | − | 0.489767i | \(-0.837082\pi\) |
0.578218 | + | 0.815882i | \(0.303748\pi\) | |||||||
\(758\) | −1.59303 | − | 15.1567i | −0.0578615 | − | 0.550516i | ||||
\(759\) | −2.87573 | − | 8.85060i | −0.104382 | − | 0.321256i | ||||
\(760\) | 0.914400 | + | 2.81423i | 0.0331688 | + | 0.102083i | ||||
\(761\) | −3.83587 | − | 36.4959i | −0.139050 | − | 1.32297i | −0.812161 | − | 0.583433i | \(-0.801709\pi\) |
0.673111 | − | 0.739541i | \(-0.264957\pi\) | |||||||
\(762\) | −5.62232 | + | 6.24422i | −0.203675 | + | 0.226204i | ||||
\(763\) | −4.68139 | − | 5.19921i | −0.169478 | − | 0.188224i | ||||
\(764\) | 0.725783 | − | 6.90536i | 0.0262579 | − | 0.249827i | ||||
\(765\) | 5.50398 | − | 1.16991i | 0.198997 | − | 0.0422981i | ||||
\(766\) | 25.9400 | + | 11.5492i | 0.937251 | + | 0.417291i | ||||
\(767\) | 3.95573 | − | 2.87401i | 0.142833 | − | 0.103774i | ||||
\(768\) | 0.913545 | − | 0.406737i | 0.0329647 | − | 0.0146768i | ||||
\(769\) | 5.31719 | − | 9.20965i | 0.191743 | − | 0.332108i | −0.754085 | − | 0.656777i | \(-0.771919\pi\) |
0.945828 | + | 0.324668i | \(0.105253\pi\) | |||||||
\(770\) | 0.551145 | + | 0.954610i | 0.0198619 | + | 0.0344018i | ||||
\(771\) | 18.7585 | + | 13.6288i | 0.675570 | + | 0.490831i | ||||
\(772\) | −10.5808 | − | 2.24901i | −0.380810 | − | 0.0809437i | ||||
\(773\) | −5.87839 | + | 18.0918i | −0.211431 | + | 0.650717i | 0.787957 | + | 0.615730i | \(0.211139\pi\) |
−0.999388 | + | 0.0349870i | \(0.988861\pi\) | |||||||
\(774\) | −9.81466 | −0.352781 | ||||||||
\(775\) | 2.86170 | − | 4.77605i | 0.102795 | − | 0.171561i | ||||
\(776\) | 7.83013 | 0.281085 | ||||||||
\(777\) | −0.886269 | + | 2.72765i | −0.0317947 | + | 0.0978541i | ||||
\(778\) | 21.4466 | + | 4.55862i | 0.768898 | + | 0.163434i | ||||
\(779\) | −26.1553 | − | 19.0029i | −0.937110 | − | 0.680850i | ||||
\(780\) | −1.43367 | − | 2.48318i | −0.0513335 | − | 0.0889122i | ||||
\(781\) | 3.65853 | − | 6.33676i | 0.130913 | − | 0.226747i | ||||
\(782\) | 18.1210 | − | 8.06799i | 0.648006 | − | 0.288511i | ||||
\(783\) | 6.78624 | − | 4.93049i | 0.242520 | − | 0.176201i | ||||
\(784\) | −6.23554 | − | 2.77624i | −0.222698 | − | 0.0991515i | ||||
\(785\) | −7.30037 | + | 1.55174i | −0.260561 | + | 0.0553840i | ||||
\(786\) | 1.49159 | − | 14.1915i | 0.0532033 | − | 0.506196i | ||||
\(787\) | 16.4045 | + | 18.2191i | 0.584759 | + | 0.649441i | 0.960826 | − | 0.277152i | \(-0.0893905\pi\) |
−0.376067 | + | 0.926592i | \(0.622724\pi\) | |||||||
\(788\) | −4.10307 | + | 4.55692i | −0.146166 | + | 0.162334i | ||||
\(789\) | −3.06047 | − | 29.1184i | −0.108956 | − | 1.03664i | ||||
\(790\) | 1.75752 | + | 5.40911i | 0.0625299 | + | 0.192447i | ||||
\(791\) | −2.35981 | − | 7.26274i | −0.0839050 | − | 0.258233i | ||||
\(792\) | 0.275944 | + | 2.62543i | 0.00980524 | + | 0.0932907i | ||||
\(793\) | 18.0477 | − | 20.0441i | 0.640894 | − | 0.711785i | ||||
\(794\) | −4.60574 | − | 5.11519i | −0.163451 | − | 0.181531i | ||||
\(795\) | −0.351267 | + | 3.34208i | −0.0124582 | + | 0.118531i | ||||
\(796\) | −13.6988 | + | 2.91176i | −0.485540 | + | 0.103205i | ||||
\(797\) | 31.1820 | + | 13.8831i | 1.10452 | + | 0.491765i | 0.876262 | − | 0.481836i | \(-0.160030\pi\) |
0.228260 | + | 0.973600i | \(0.426696\pi\) | |||||||
\(798\) | −0.999587 | + | 0.726242i | −0.0353850 | + | 0.0257087i | ||||
\(799\) | −50.1471 | + | 22.3269i | −1.77408 | + | 0.789870i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | 1.90713 | + | 3.30324i | 0.0673850 | + | 0.116714i | ||||
\(802\) | −12.3342 | − | 8.96133i | −0.435536 | − | 0.316435i | ||||
\(803\) | 11.1411 | + | 2.36811i | 0.393160 | + | 0.0835687i | ||||
\(804\) | 0.178325 | − | 0.548828i | 0.00628904 | − | 0.0193557i | ||||
\(805\) | −1.47194 | −0.0518789 | ||||||||
\(806\) | 7.75709 | + | 13.9534i | 0.273232 | + | 0.491487i | ||||
\(807\) | 7.82763 | 0.275546 | ||||||||
\(808\) | −2.47998 | + | 7.63259i | −0.0872453 | + | 0.268513i | ||||
\(809\) | −4.07989 | − | 0.867208i | −0.143441 | − | 0.0304894i | 0.135631 | − | 0.990759i | \(-0.456694\pi\) |
−0.279073 | + | 0.960270i | \(0.590027\pi\) | |||||||
\(810\) | −0.809017 | − | 0.587785i | −0.0284260 | − | 0.0206527i | ||||
\(811\) | −19.5935 | − | 33.9369i | −0.688021 | − | 1.19169i | −0.972477 | − | 0.232998i | \(-0.925147\pi\) |
0.284457 | − | 0.958689i | \(-0.408187\pi\) | |||||||
\(812\) | −1.75126 | + | 3.03327i | −0.0614572 | + | 0.106447i | ||||
\(813\) | 1.06493 | − | 0.474135i | 0.0373486 | − | 0.0166286i | ||||
\(814\) | 14.6696 | − | 10.6581i | 0.514169 | − | 0.373566i | ||||
\(815\) | 15.2041 | + | 6.76929i | 0.532575 | + | 0.237118i | ||||
\(816\) | −5.50398 | + | 1.16991i | −0.192678 | + | 0.0409549i | ||||
\(817\) | −3.03573 | + | 28.8831i | −0.106207 | + | 1.01049i | ||||
\(818\) | −7.07427 | − | 7.85677i | −0.247346 | − | 0.274705i | ||||
\(819\) | 0.801121 | − | 0.889735i | 0.0279934 | − | 0.0310899i | ||||
\(820\) | 1.14204 | + | 10.8658i | 0.0398819 | + | 0.379451i | ||||
\(821\) | 8.95745 | + | 27.5682i | 0.312617 | + | 0.962136i | 0.976724 | + | 0.214499i | \(0.0688118\pi\) |
−0.664107 | + | 0.747637i | \(0.731188\pi\) | |||||||
\(822\) | 5.39855 | + | 16.6150i | 0.188296 | + | 0.579516i | ||||
\(823\) | −3.02281 | − | 28.7601i | −0.105368 | − | 1.00251i | −0.911646 | − | 0.410977i | \(-0.865188\pi\) |
0.806277 | − | 0.591538i | \(-0.201479\pi\) | |||||||
\(824\) | 1.68458 | − | 1.87091i | 0.0586851 | − | 0.0651764i | ||||
\(825\) | 1.76643 | + | 1.96182i | 0.0614993 | + | 0.0683019i | ||||
\(826\) | −0.0744278 | + | 0.708133i | −0.00258967 | + | 0.0246391i | ||||
\(827\) | −13.8398 | + | 2.94174i | −0.481258 | + | 0.102294i | −0.442151 | − | 0.896941i | \(-0.645784\pi\) |
−0.0391065 | + | 0.999235i | \(0.512451\pi\) | |||||||
\(828\) | −3.22040 | − | 1.43381i | −0.111917 | − | 0.0498285i | ||||
\(829\) | 24.4738 | − | 17.7813i | 0.850012 | − | 0.617570i | −0.0751376 | − | 0.997173i | \(-0.523940\pi\) |
0.925149 | + | 0.379604i | \(0.123940\pi\) | |||||||
\(830\) | 8.77602 | − | 3.90733i | 0.304620 | − | 0.135626i | ||||
\(831\) | −14.6736 | + | 25.4154i | −0.509022 | + | 0.881652i | ||||
\(832\) | 1.43367 | + | 2.48318i | 0.0497034 | + | 0.0860889i | ||||
\(833\) | 31.0723 | + | 22.5754i | 1.07659 | + | 0.782191i | ||||
\(834\) | 20.4776 | + | 4.35265i | 0.709081 | + | 0.150720i | ||||
\(835\) | 2.93506 | − | 9.03318i | 0.101572 | − | 0.312606i | ||||
\(836\) | 7.81160 | 0.270170 | ||||||||
\(837\) | 4.45076 | + | 3.34526i | 0.153841 | + | 0.115629i | ||||
\(838\) | 4.95167 | 0.171052 | ||||||||
\(839\) | −9.21911 | + | 28.3735i | −0.318279 | + | 0.979562i | 0.656105 | + | 0.754670i | \(0.272203\pi\) |
−0.974384 | + | 0.224892i | \(0.927797\pi\) | |||||||
\(840\) | 0.408426 | + | 0.0868137i | 0.0140920 | + | 0.00299536i | ||||
\(841\) | −33.4632 | − | 24.3125i | −1.15390 | − | 0.838361i | ||||
\(842\) | 18.0861 | + | 31.3261i | 0.623289 | + | 1.07957i | ||||
\(843\) | −12.8720 | + | 22.2949i | −0.443335 | + | 0.767878i | ||||
\(844\) | 2.66346 | − | 1.18585i | 0.0916802 | − | 0.0408186i | ||||
\(845\) | −3.86581 | + | 2.80868i | −0.132988 | + | 0.0966214i | ||||
\(846\) | 8.91196 | + | 3.96786i | 0.306400 | + | 0.136418i | ||||
\(847\) | −1.64635 | + | 0.349943i | −0.0565693 | + | 0.0120242i | ||||
\(848\) | 0.351267 | − | 3.34208i | 0.0120626 | − | 0.114768i | ||||
\(849\) | 5.70201 | + | 6.33272i | 0.195692 | + | 0.217339i | ||||
\(850\) | −3.76516 | + | 4.18163i | −0.129144 | + | 0.143429i | ||||
\(851\) | 2.53098 | + | 24.0806i | 0.0867608 | + | 0.825474i | ||||
\(852\) | −0.856510 | − | 2.63607i | −0.0293436 | − | 0.0903102i | ||||
\(853\) | −4.50147 | − | 13.8541i | −0.154128 | − | 0.474356i | 0.843944 | − | 0.536431i | \(-0.180228\pi\) |
−0.998071 | + | 0.0620757i | \(0.980228\pi\) | |||||||
\(854\) | 0.410561 | + | 3.90623i | 0.0140491 | + | 0.133668i | ||||
\(855\) | −1.98000 | + | 2.19901i | −0.0677145 | + | 0.0752045i | ||||
\(856\) | −11.0025 | − | 12.2195i | −0.376058 | − | 0.417654i | ||||
\(857\) | 1.53062 | − | 14.5629i | 0.0522851 | − | 0.497460i | −0.936773 | − | 0.349936i | \(-0.886203\pi\) |
0.989059 | − | 0.147523i | \(-0.0471301\pi\) | |||||||
\(858\) | −7.40404 | + | 1.57378i | −0.252770 | + | 0.0537279i | ||||
\(859\) | −10.4234 | − | 4.64078i | −0.355641 | − | 0.158342i | 0.221137 | − | 0.975243i | \(-0.429023\pi\) |
−0.576777 | + | 0.816901i | \(0.695690\pi\) | |||||||
\(860\) | 7.94023 | − | 5.76891i | 0.270760 | − | 0.196718i | ||||
\(861\) | −4.16761 | + | 1.85554i | −0.142032 | + | 0.0632366i | ||||
\(862\) | −6.67357 | + | 11.5590i | −0.227303 | + | 0.393700i | ||||
\(863\) | −12.4386 | − | 21.5443i | −0.423415 | − | 0.733376i | 0.572856 | − | 0.819656i | \(-0.305835\pi\) |
−0.996271 | + | 0.0862801i | \(0.972502\pi\) | |||||||
\(864\) | 0.809017 | + | 0.587785i | 0.0275233 | + | 0.0199969i | ||||
\(865\) | 19.9907 | + | 4.24915i | 0.679703 | + | 0.144475i | ||||
\(866\) | −0.504161 | + | 1.55165i | −0.0171321 | + | 0.0527271i | ||||
\(867\) | 14.6625 | 0.497963 | ||||||||
\(868\) | −2.26588 | − | 0.520167i | −0.0769091 | − | 0.0176556i | ||||
\(869\) | 15.0143 | 0.509326 | ||||||||
\(870\) | −2.59211 | + | 7.97770i | −0.0878809 | + | 0.270470i | ||||
\(871\) | 1.61850 | + | 0.344022i | 0.0548407 | + | 0.0116568i | ||||
\(872\) | 13.5554 | + | 9.84858i | 0.459044 | + | 0.333515i | ||||
\(873\) | 3.91507 | + | 6.78109i | 0.132505 | + | 0.229505i | ||||
\(874\) | −5.21559 | + | 9.03367i | −0.176420 | + | 0.305568i | ||||
\(875\) | 0.381451 | − | 0.169833i | 0.0128954 | − | 0.00574141i | ||||
\(876\) | 3.49055 | − | 2.53603i | 0.117935 | − | 0.0856846i | ||||
\(877\) | 39.0656 | + | 17.3931i | 1.31915 | + | 0.587324i | 0.940996 | − | 0.338418i | \(-0.109892\pi\) |
0.378155 | + | 0.925742i | \(0.376559\pi\) | |||||||
\(878\) | −18.2590 | + | 3.88107i | −0.616212 | + | 0.130980i | ||||
\(879\) | 0.745259 | − | 7.09067i | 0.0251370 | − | 0.239162i | ||||
\(880\) | −1.76643 | − | 1.96182i | −0.0595465 | − | 0.0661330i | ||||
\(881\) | −27.7294 | + | 30.7966i | −0.934227 | + | 1.03756i | 0.0649857 | + | 0.997886i | \(0.479300\pi\) |
−0.999213 | + | 0.0396778i | \(0.987367\pi\) | |||||||
\(882\) | −0.713475 | − | 6.78826i | −0.0240239 | − | 0.228573i | ||||
\(883\) | 15.7017 | + | 48.3250i | 0.528406 | + | 1.62627i | 0.757481 | + | 0.652857i | \(0.226430\pi\) |
−0.229076 | + | 0.973409i | \(0.573570\pi\) | |||||||
\(884\) | −4.98578 | − | 15.3446i | −0.167690 | − | 0.516096i | ||||
\(885\) | 0.178249 | + | 1.69592i | 0.00599176 | + | 0.0570078i | ||||
\(886\) | −7.66049 | + | 8.50783i | −0.257359 | + | 0.285826i | ||||
\(887\) | −34.5881 | − | 38.4140i | −1.16136 | − | 1.28982i | −0.949945 | − | 0.312418i | \(-0.898861\pi\) |
−0.211410 | − | 0.977397i | \(-0.567806\pi\) | |||||||
\(888\) | 0.717974 | − | 6.83106i | 0.0240936 | − | 0.229235i | ||||
\(889\) | 3.43177 | − | 0.729445i | 0.115098 | − | 0.0244648i | ||||
\(890\) | −3.48449 | − | 1.55140i | −0.116801 | − | 0.0520029i | ||||
\(891\) | −2.13572 | + | 1.55169i | −0.0715493 | + | 0.0519836i | ||||
\(892\) | 17.1029 | − | 7.61471i | 0.572648 | − | 0.254959i | ||||
\(893\) | 14.4333 | − | 24.9993i | 0.482993 | − | 0.836569i | ||||
\(894\) | −9.66371 | − | 16.7380i | −0.323203 | − | 0.559804i | ||||
\(895\) | −10.2602 | − | 7.45449i | −0.342962 | − | 0.249176i | ||||
\(896\) | −0.408426 | − | 0.0868137i | −0.0136446 | − | 0.00290024i | ||||
\(897\) | 3.12349 | − | 9.61311i | 0.104290 | − | 0.320973i | ||||
\(898\) | −0.650726 | −0.0217150 | ||||||||
\(899\) | 15.1506 | − | 44.1781i | 0.505301 | − | 1.47342i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | −5.84329 | + | 17.9838i | −0.194668 | + | 0.599127i | ||||
\(902\) | 28.2123 | + | 5.99671i | 0.939367 | + | 0.199669i | ||||
\(903\) | 3.31545 | + | 2.40881i | 0.110331 | + | 0.0801603i | ||||
\(904\) | 9.14439 | + | 15.8385i | 0.304138 | + | 0.526782i | ||||
\(905\) | 0.162773 | − | 0.281931i | 0.00541076 | − | 0.00937170i | ||||
\(906\) | 6.04982 | − | 2.69355i | 0.200992 | − | 0.0894873i | ||||
\(907\) | 1.52188 | − | 1.10571i | 0.0505331 | − | 0.0367145i | −0.562232 | − | 0.826980i | \(-0.690057\pi\) |
0.612765 | + | 0.790265i | \(0.290057\pi\) | |||||||
\(908\) | −17.0851 | − | 7.60679i | −0.566990 | − | 0.252440i | ||||
\(909\) | −7.85000 | + | 1.66857i | −0.260368 | + | 0.0553430i | ||||
\(910\) | −0.125147 | + | 1.19070i | −0.00414859 | + | 0.0394712i | ||||
\(911\) | 16.1915 | + | 17.9825i | 0.536449 | + | 0.595787i | 0.949050 | − | 0.315125i | \(-0.102046\pi\) |
−0.412601 | + | 0.910912i | \(0.635380\pi\) | |||||||
\(912\) | 1.98000 | − | 2.19901i | 0.0655643 | − | 0.0728165i | ||||
\(913\) | −2.65087 | − | 25.2213i | −0.0877309 | − | 0.834704i | ||||
\(914\) | −5.05329 | − | 15.5524i | −0.167148 | − | 0.514428i | ||||
\(915\) | 2.90681 | + | 8.94624i | 0.0960961 | + | 0.295753i | ||||
\(916\) | −1.67735 | − | 15.9589i | −0.0554212 | − | 0.527298i | ||||
\(917\) | −3.98690 | + | 4.42790i | −0.131659 | + | 0.146222i | ||||
\(918\) | −3.76516 | − | 4.18163i | −0.124269 | − | 0.138014i | ||||
\(919\) | −6.25103 | + | 59.4746i | −0.206203 | + | 1.96189i | 0.0606789 | + | 0.998157i | \(0.480673\pi\) |
−0.266882 | + | 0.963729i | \(0.585993\pi\) | |||||||
\(920\) | 3.44813 | − | 0.732924i | 0.113682 | − | 0.0241638i | ||||
\(921\) | 12.0759 | + | 5.37654i | 0.397915 | + | 0.177163i | ||||
\(922\) | 17.6218 | − | 12.8030i | 0.580343 | − | 0.421644i | ||||
\(923\) | 7.26037 | − | 3.23252i | 0.238978 | − | 0.106400i | ||||
\(924\) | 0.551145 | − | 0.954610i | 0.0181313 | − | 0.0314044i | ||||
\(925\) | −3.43434 | − | 5.94846i | −0.112921 | − | 0.195584i | ||||
\(926\) | −4.04201 | − | 2.93669i | −0.132829 | − | 0.0965057i | ||||
\(927\) | 2.46255 | + | 0.523431i | 0.0808807 | + | 0.0171917i | ||||
\(928\) | 2.59211 | − | 7.97770i | 0.0850903 | − | 0.261881i | ||||
\(929\) | 14.7783 | 0.484860 | 0.242430 | − | 0.970169i | \(-0.422055\pi\) | ||||
0.242430 | + | 0.970169i | \(0.422055\pi\) | |||||||
\(930\) | −5.56703 | − | 0.0902791i | −0.182550 | − | 0.00296037i | ||||
\(931\) | −20.1975 | −0.661947 | ||||||||
\(932\) | 1.65665 | − | 5.09864i | 0.0542653 | − | 0.167011i | ||||
\(933\) | −21.2635 | − | 4.51969i | −0.696134 | − | 0.147968i | ||||
\(934\) | 4.40065 | + | 3.19726i | 0.143994 | + | 0.104617i | ||||
\(935\) | 7.42726 | + | 12.8644i | 0.242897 | + | 0.420711i | ||||
\(936\) | −1.43367 | + | 2.48318i | −0.0468608 | + | 0.0811654i | ||||
\(937\) | 31.9108 | − | 14.2076i | 1.04248 | − | 0.464142i | 0.187208 | − | 0.982320i | \(-0.440056\pi\) |
0.855273 | + | 0.518178i | \(0.173389\pi\) | |||||||
\(938\) | −0.194938 | + | 0.141631i | −0.00636495 | + | 0.00462441i | ||||
\(939\) | −19.4419 | − | 8.65609i | −0.634462 | − | 0.282481i | ||||
\(940\) | −9.54218 | + | 2.02825i | −0.311232 | + | 0.0661543i | ||||
\(941\) | −0.818109 | + | 7.78379i | −0.0266696 | + | 0.253744i | 0.973061 | + | 0.230546i | \(0.0740514\pi\) |
−0.999731 | + | 0.0231977i | \(0.992615\pi\) | |||||||
\(942\) | 4.99403 | + | 5.54644i | 0.162714 | + | 0.180713i | ||||
\(943\) | −25.7714 | + | 28.6221i | −0.839233 | + | 0.932063i | ||||
\(944\) | −0.178249 | − | 1.69592i | −0.00580150 | − | 0.0551976i | ||||
\(945\) | 0.129030 | + | 0.397114i | 0.00419735 | + | 0.0129181i | ||||
\(946\) | −8.00653 | − | 24.6416i | −0.260315 | − | 0.801166i | ||||
\(947\) | −3.57272 | − | 33.9922i | −0.116098 | − | 1.10460i | −0.885116 | − | 0.465370i | \(-0.845921\pi\) |
0.769018 | − | 0.639227i | \(-0.220746\pi\) | |||||||
\(948\) | 3.80566 | − | 4.22661i | 0.123602 | − | 0.137274i | ||||
\(949\) | 8.27799 | + | 9.19364i | 0.268715 | + | 0.298438i | ||||
\(950\) | 0.309306 | − | 2.94285i | 0.0100352 | − | 0.0954786i | ||||
\(951\) | 21.1621 | − | 4.49815i | 0.686229 | − | 0.145862i | ||||
\(952\) | 2.14640 | + | 0.955641i | 0.0695654 | + | 0.0309725i | ||||
\(953\) | 24.4019 | − | 17.7290i | 0.790456 | − | 0.574300i | −0.117643 | − | 0.993056i | \(-0.537534\pi\) |
0.908099 | + | 0.418756i | \(0.137534\pi\) | |||||||
\(954\) | 3.06996 | − | 1.36683i | 0.0993937 | − | 0.0442529i | ||||
\(955\) | −3.47170 | + | 6.01316i | −0.112342 | + | 0.194581i | ||||
\(956\) | −5.42348 | − | 9.39375i | −0.175408 | − | 0.303816i | ||||
\(957\) | 17.9150 | + | 13.0160i | 0.579108 | + | 0.420747i | ||||
\(958\) | 26.2181 | + | 5.57284i | 0.847070 | + | 0.180050i | ||||
\(959\) | 2.25417 | − | 6.93762i | 0.0727909 | − | 0.224027i | ||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | 30.9837 | + | 1.00517i | 0.999474 | + | 0.0324249i | ||||
\(962\) | 19.6948 | 0.634986 | ||||||||
\(963\) | 5.08116 | − | 15.6382i | 0.163738 | − | 0.503934i | ||||
\(964\) | 3.72226 | + | 0.791191i | 0.119886 | + | 0.0254825i | ||||
\(965\) | 8.75126 | + | 6.35816i | 0.281713 | + | 0.204676i | ||||
\(966\) | 0.735968 | + | 1.27473i | 0.0236794 | + | 0.0410139i | ||||
\(967\) | 8.76554 | − | 15.1824i | 0.281881 | − | 0.488232i | −0.689967 | − | 0.723841i | \(-0.742375\pi\) |
0.971848 | + | 0.235609i | \(0.0757084\pi\) | |||||||
\(968\) | 3.68247 | − | 1.63954i | 0.118359 | − | 0.0526968i | ||||
\(969\) | −13.4705 | + | 9.78689i | −0.432735 | + | 0.314400i | ||||
\(970\) | −7.15318 | − | 3.18480i | −0.229675 | − | 0.102258i | ||||
\(971\) | 18.5187 | − | 3.93627i | 0.594293 | − | 0.126321i | 0.0990603 | − | 0.995081i | \(-0.468416\pi\) |
0.495232 | + | 0.868761i | \(0.335083\pi\) | |||||||
\(972\) | −0.104528 | + | 0.994522i | −0.00335275 | + | 0.0318993i | ||||
\(973\) | −5.84918 | − | 6.49617i | −0.187516 | − | 0.208258i | ||||
\(974\) | 21.1425 | − | 23.4812i | 0.677450 | − | 0.752385i | ||||
\(975\) | 0.299718 | + | 2.85162i | 0.00959865 | + | 0.0913251i | ||||
\(976\) | −2.90681 | − | 8.94624i | −0.0930447 | − | 0.286362i | ||||
\(977\) | −3.54087 | − | 10.8977i | −0.113282 | − | 0.348647i | 0.878303 | − | 0.478105i | \(-0.158676\pi\) |
−0.991585 | + | 0.129458i | \(0.958676\pi\) | |||||||
\(978\) | −1.73966 | − | 16.5518i | −0.0556282 | − | 0.529267i | ||||
\(979\) | −6.73763 | + | 7.48289i | −0.215336 | + | 0.239154i | ||||
\(980\) | 4.56725 | + | 5.07245i | 0.145896 | + | 0.162033i | ||||
\(981\) | −1.75142 | + | 16.6636i | −0.0559184 | + | 0.532028i | ||||
\(982\) | −28.6621 | + | 6.09232i | −0.914645 | + | 0.194414i | ||||
\(983\) | 7.67318 | + | 3.41632i | 0.244736 | + | 0.108964i | 0.525439 | − | 0.850831i | \(-0.323901\pi\) |
−0.280703 | + | 0.959795i | \(0.590568\pi\) | |||||||
\(984\) | 8.83905 | − | 6.42194i | 0.281779 | − | 0.204724i | ||||
\(985\) | 5.60181 | − | 2.49408i | 0.178488 | − | 0.0794681i | ||||
\(986\) | −23.6001 | + | 40.8766i | −0.751580 | + | 1.30178i | ||||
\(987\) | −2.03668 | − | 3.52763i | −0.0648282 | − | 0.112286i | ||||
\(988\) | 6.86419 | + | 4.98713i | 0.218379 | + | 0.158662i | ||||
\(989\) | 33.8423 | + | 7.19340i | 1.07612 | + | 0.228737i | ||||
\(990\) | 0.815772 | − | 2.51069i | 0.0259269 | − | 0.0797949i | ||||
\(991\) | 21.2059 | 0.673626 | 0.336813 | − | 0.941571i | \(-0.390651\pi\) | ||||
0.336813 | + | 0.941571i | \(0.390651\pi\) | |||||||
\(992\) | 5.56703 | + | 0.0902791i | 0.176753 | + | 0.00286636i | ||||
\(993\) | 17.7044 | 0.561831 | ||||||||
\(994\) | −0.357636 | + | 1.10069i | −0.0113435 | + | 0.0349118i | ||||
\(995\) | 13.6988 | + | 2.91176i | 0.434280 | + | 0.0923091i | ||||
\(996\) | −7.77186 | − | 5.64659i | −0.246261 | − | 0.178919i | ||||
\(997\) | 4.19882 | + | 7.27257i | 0.132978 | + | 0.230325i | 0.924823 | − | 0.380397i | \(-0.124213\pi\) |
−0.791845 | + | 0.610722i | \(0.790879\pi\) | |||||||
\(998\) | 9.94310 | − | 17.2220i | 0.314743 | − | 0.545152i | ||||
\(999\) | 6.27486 | − | 2.79375i | 0.198528 | − | 0.0883903i |
(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 | 930.2.bg.i.691.2 | ✓ | 24 | |
31.7 | even | 15 | inner | 930.2.bg.i.751.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.i.691.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
930.2.bg.i.751.2 | yes | 24 | 31.7 | even | 15 | inner |