Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [64,2,Mod(5,64)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(64, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("64.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 64 = 2^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 64.i (of order \(16\), 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: | \(0.511042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 64.5 |
Dual form | 64.2.i.a.13.3 |
$q$-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 \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(63\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.599818 | − | 1.28071i | −0.424136 | − | 0.905599i | ||||
\(3\) | −2.03902 | − | 1.36243i | −1.17723 | − | 0.786599i | −0.196219 | − | 0.980560i | \(-0.562866\pi\) |
−0.981009 | + | 0.193961i | \(0.937866\pi\) | |||||||
\(4\) | −1.28044 | + | 1.53639i | −0.640218 | + | 0.768193i | ||||
\(5\) | −1.53851 | − | 0.306028i | −0.688041 | − | 0.136860i | −0.161325 | − | 0.986901i | \(-0.551577\pi\) |
−0.526716 | + | 0.850041i | \(0.676577\pi\) | |||||||
\(6\) | −0.521836 | + | 3.42860i | −0.213039 | + | 1.39972i | ||||
\(7\) | 1.01301 | − | 2.44562i | 0.382882 | − | 0.924359i | −0.608524 | − | 0.793536i | \(-0.708238\pi\) |
0.991406 | − | 0.130823i | \(-0.0417620\pi\) | |||||||
\(8\) | 2.73569 | + | 0.718315i | 0.967214 | + | 0.253963i | ||||
\(9\) | 1.15334 | + | 2.78440i | 0.384446 | + | 0.928134i | ||||
\(10\) | 0.530891 | + | 2.15394i | 0.167882 | + | 0.681136i | ||||
\(11\) | −2.71620 | − | 4.06508i | −0.818965 | − | 1.22567i | −0.971422 | − | 0.237358i | \(-0.923719\pi\) |
0.152457 | − | 0.988310i | \(-0.451281\pi\) | |||||||
\(12\) | 4.70405 | − | 1.38822i | 1.35794 | − | 0.400744i | ||||
\(13\) | 4.23055 | − | 0.841509i | 1.17334 | − | 0.233393i | 0.430332 | − | 0.902671i | \(-0.358397\pi\) |
0.743012 | + | 0.669278i | \(0.233397\pi\) | |||||||
\(14\) | −3.73976 | + | 0.169557i | −0.999492 | + | 0.0453160i | ||||
\(15\) | 2.72010 | + | 2.72010i | 0.702327 | + | 0.702327i | ||||
\(16\) | −0.720966 | − | 3.93449i | −0.180241 | − | 0.983622i | ||||
\(17\) | 0.228271 | − | 0.228271i | 0.0553640 | − | 0.0553640i | −0.678883 | − | 0.734247i | \(-0.737536\pi\) |
0.734247 | + | 0.678883i | \(0.237536\pi\) | |||||||
\(18\) | 2.87422 | − | 3.14722i | 0.677460 | − | 0.741808i | ||||
\(19\) | 1.30758 | + | 6.57364i | 0.299979 | + | 1.50810i | 0.777167 | + | 0.629295i | \(0.216656\pi\) |
−0.477188 | + | 0.878801i | \(0.658344\pi\) | |||||||
\(20\) | 2.44014 | − | 1.97189i | 0.545631 | − | 0.440928i | ||||
\(21\) | −5.39754 | + | 3.60652i | −1.17784 | + | 0.787007i | ||||
\(22\) | −3.57696 | + | 5.91698i | −0.762611 | + | 1.26150i | ||||
\(23\) | 2.81320 | − | 1.16527i | 0.586593 | − | 0.242975i | −0.0695913 | − | 0.997576i | \(-0.522170\pi\) |
0.656184 | + | 0.754601i | \(0.272170\pi\) | |||||||
\(24\) | −4.59948 | − | 5.19185i | −0.938865 | − | 1.05978i | ||||
\(25\) | −2.34605 | − | 0.971766i | −0.469210 | − | 0.194353i | ||||
\(26\) | −3.61529 | − | 4.91336i | −0.709017 | − | 0.963589i | ||||
\(27\) | 0.00660900 | − | 0.0332257i | 0.00127190 | − | 0.00639428i | ||||
\(28\) | 2.46033 | + | 4.68784i | 0.464958 | + | 0.885918i | ||||
\(29\) | 1.67490 | − | 2.50666i | 0.311021 | − | 0.465476i | −0.642722 | − | 0.766100i | \(-0.722195\pi\) |
0.953743 | + | 0.300624i | \(0.0971949\pi\) | |||||||
\(30\) | 1.85210 | − | 5.11523i | 0.338145 | − | 0.933909i | ||||
\(31\) | 1.06551i | 0.191372i | 0.995412 | + | 0.0956860i | \(0.0305045\pi\) | ||||
−0.995412 | + | 0.0956860i | \(0.969496\pi\) | |||||||
\(32\) | −4.60649 | + | 3.28333i | −0.814320 | + | 0.580416i | ||||
\(33\) | 11.9894i | 2.08709i | ||||||||
\(34\) | −0.429271 | − | 0.155428i | −0.0736193 | − | 0.0266557i | ||||
\(35\) | −2.30695 | + | 3.45260i | −0.389946 | + | 0.583595i | ||||
\(36\) | −5.75469 | − | 1.79328i | −0.959115 | − | 0.298880i | ||||
\(37\) | 2.13514 | − | 10.7341i | 0.351014 | − | 1.76467i | −0.252775 | − | 0.967525i | \(-0.581343\pi\) |
0.603790 | − | 0.797144i | \(-0.293657\pi\) | |||||||
\(38\) | 7.63461 | − | 5.61762i | 1.23850 | − | 0.911297i | ||||
\(39\) | −9.77267 | − | 4.04797i | −1.56488 | − | 0.648195i | ||||
\(40\) | −3.98906 | − | 1.94233i | −0.630725 | − | 0.307109i | ||||
\(41\) | −2.57626 | + | 1.06712i | −0.402344 | + | 0.166657i | −0.574673 | − | 0.818383i | \(-0.694871\pi\) |
0.172329 | + | 0.985039i | \(0.444871\pi\) | |||||||
\(42\) | 7.85644 | + | 4.74942i | 1.21228 | + | 0.732852i | ||||
\(43\) | 0.575838 | − | 0.384763i | 0.0878145 | − | 0.0586758i | −0.510888 | − | 0.859647i | \(-0.670683\pi\) |
0.598702 | + | 0.800972i | \(0.295683\pi\) | |||||||
\(44\) | 9.72346 | + | 1.03194i | 1.46587 | + | 0.155571i | ||||
\(45\) | −0.922311 | − | 4.63677i | −0.137490 | − | 0.691209i | ||||
\(46\) | −3.17978 | − | 2.90395i | −0.468832 | − | 0.428163i | ||||
\(47\) | 2.61525 | − | 2.61525i | 0.381474 | − | 0.381474i | −0.490159 | − | 0.871633i | \(-0.663061\pi\) |
0.871633 | + | 0.490159i | \(0.163061\pi\) | |||||||
\(48\) | −3.89040 | + | 9.00477i | −0.561531 | + | 1.29973i | ||||
\(49\) | −0.00513508 | − | 0.00513508i | −0.000733583 | − | 0.000733583i | ||||
\(50\) | 0.162653 | + | 3.58749i | 0.0230027 | + | 0.507348i | ||||
\(51\) | −0.776454 | + | 0.154446i | −0.108725 | + | 0.0216268i | ||||
\(52\) | −4.12407 | + | 7.57726i | −0.571905 | + | 1.05078i | ||||
\(53\) | 2.60438 | + | 3.89774i | 0.357740 | + | 0.535395i | 0.966067 | − | 0.258291i | \(-0.0831593\pi\) |
−0.608327 | + | 0.793686i | \(0.708159\pi\) | |||||||
\(54\) | −0.0465166 | + | 0.0114652i | −0.00633011 | + | 0.00156021i | ||||
\(55\) | 2.93486 | + | 7.08539i | 0.395737 | + | 0.955393i | ||||
\(56\) | 4.52801 | − | 5.96282i | 0.605081 | − | 0.796815i | ||||
\(57\) | 6.28994 | − | 15.1853i | 0.833123 | − | 2.01134i | ||||
\(58\) | −4.21494 | − | 0.641518i | −0.553449 | − | 0.0842354i | ||||
\(59\) | 8.66346 | + | 1.72327i | 1.12789 | + | 0.224351i | 0.723558 | − | 0.690263i | \(-0.242505\pi\) |
0.404328 | + | 0.914614i | \(0.367505\pi\) | |||||||
\(60\) | −7.66205 | + | 0.696210i | −0.989166 | + | 0.0898804i | ||||
\(61\) | 6.23588 | + | 4.16668i | 0.798422 | + | 0.533489i | 0.886557 | − | 0.462620i | \(-0.153091\pi\) |
−0.0881344 | + | 0.996109i | \(0.528091\pi\) | |||||||
\(62\) | 1.36462 | − | 0.639115i | 0.173306 | − | 0.0811677i | ||||
\(63\) | 7.97794 | 1.00513 | ||||||||
\(64\) | 6.96805 | + | 3.93018i | 0.871006 | + | 0.491273i | ||||
\(65\) | −6.76625 | −0.839251 | ||||||||
\(66\) | 15.3550 | − | 7.19147i | 1.89006 | − | 0.885208i | ||||
\(67\) | −6.91594 | − | 4.62108i | −0.844917 | − | 0.564555i | 0.0560578 | − | 0.998428i | \(-0.482147\pi\) |
−0.900974 | + | 0.433872i | \(0.857147\pi\) | |||||||
\(68\) | 0.0584261 | + | 0.643000i | 0.00708520 | + | 0.0779752i | ||||
\(69\) | −7.32376 | − | 1.45679i | −0.881677 | − | 0.175376i | ||||
\(70\) | 5.80553 | + | 0.883605i | 0.693893 | + | 0.105611i | ||||
\(71\) | −0.606236 | + | 1.46358i | −0.0719470 | + | 0.173695i | −0.955762 | − | 0.294141i | \(-0.904966\pi\) |
0.883815 | + | 0.467837i | \(0.154966\pi\) | |||||||
\(72\) | 1.15510 | + | 8.44573i | 0.136130 | + | 0.995339i | ||||
\(73\) | −1.36883 | − | 3.30465i | −0.160210 | − | 0.386780i | 0.823307 | − | 0.567596i | \(-0.192126\pi\) |
−0.983517 | + | 0.180816i | \(0.942126\pi\) | |||||||
\(74\) | −15.0279 | + | 3.70399i | −1.74696 | + | 0.430580i | ||||
\(75\) | 3.45968 | + | 5.17778i | 0.399489 | + | 0.597878i | ||||
\(76\) | −11.7739 | − | 6.40818i | −1.35056 | − | 0.735069i | ||||
\(77\) | −12.6932 | + | 2.52483i | −1.44652 | + | 0.287732i | ||||
\(78\) | 0.677547 | + | 14.9440i | 0.0767170 | + | 1.69208i | ||||
\(79\) | 4.69681 | + | 4.69681i | 0.528433 | + | 0.528433i | 0.920105 | − | 0.391672i | \(-0.128103\pi\) |
−0.391672 | + | 0.920105i | \(0.628103\pi\) | |||||||
\(80\) | −0.0948532 | + | 6.27387i | −0.0106049 | + | 0.701440i | ||||
\(81\) | 6.33452 | − | 6.33452i | 0.703836 | − | 0.703836i | ||||
\(82\) | 2.91196 | + | 2.65936i | 0.321573 | + | 0.293678i | ||||
\(83\) | 0.803913 | + | 4.04154i | 0.0882409 | + | 0.443617i | 0.999495 | + | 0.0317726i | \(0.0101152\pi\) |
−0.911254 | + | 0.411844i | \(0.864885\pi\) | |||||||
\(84\) | 1.37020 | − | 12.9106i | 0.149501 | − | 1.40866i | ||||
\(85\) | −0.421054 | + | 0.281340i | −0.0456698 | + | 0.0305156i | ||||
\(86\) | −0.838168 | − | 0.506694i | −0.0903820 | − | 0.0546382i | ||||
\(87\) | −6.83030 | + | 2.82920i | −0.732286 | + | 0.303323i | ||||
\(88\) | −4.51069 | − | 13.0719i | −0.480841 | − | 1.39347i | ||||
\(89\) | −10.3334 | − | 4.28021i | −1.09533 | − | 0.453702i | −0.239470 | − | 0.970904i | \(-0.576974\pi\) |
−0.855863 | + | 0.517202i | \(0.826974\pi\) | |||||||
\(90\) | −5.38514 | + | 3.96243i | −0.567644 | + | 0.417677i | ||||
\(91\) | 2.22758 | − | 11.1988i | 0.233514 | − | 1.17395i | ||||
\(92\) | −1.81182 | + | 5.81421i | −0.188896 | + | 0.606173i | ||||
\(93\) | 1.45169 | − | 2.17261i | 0.150533 | − | 0.225289i | ||||
\(94\) | −4.91805 | − | 1.78070i | −0.507258 | − | 0.183665i | ||||
\(95\) | − | 10.5137i | − | 1.07869i | ||||||
\(96\) | 13.8660 | − | 0.418748i | 1.41520 | − | 0.0427382i | ||||
\(97\) | − | 7.30754i | − | 0.741969i | −0.928639 | − | 0.370984i | \(-0.879020\pi\) | ||
0.928639 | − | 0.370984i | \(-0.120980\pi\) | |||||||
\(98\) | −0.00349643 | + | 0.00965666i | −0.000353193 | + | 0.000975470i | ||||
\(99\) | 8.18612 | − | 12.2514i | 0.822736 | − | 1.23131i | ||||
\(100\) | 4.49698 | − | 2.36015i | 0.449698 | − | 0.236015i | ||||
\(101\) | −2.69620 | + | 13.5547i | −0.268281 | + | 1.34874i | 0.578013 | + | 0.816027i | \(0.303828\pi\) |
−0.846295 | + | 0.532715i | \(0.821172\pi\) | |||||||
\(102\) | 0.663532 | + | 0.901772i | 0.0656994 | + | 0.0892888i | ||||
\(103\) | −8.88954 | − | 3.68217i | −0.875913 | − | 0.362815i | −0.101002 | − | 0.994886i | \(-0.532205\pi\) |
−0.774910 | + | 0.632071i | \(0.782205\pi\) | |||||||
\(104\) | 12.1780 | + | 0.736758i | 1.19415 | + | 0.0722450i | ||||
\(105\) | 9.40784 | − | 3.89685i | 0.918111 | − | 0.380294i | ||||
\(106\) | 3.42971 | − | 5.67340i | 0.333123 | − | 0.551049i | ||||
\(107\) | −3.97920 | + | 2.65882i | −0.384684 | + | 0.257037i | −0.732843 | − | 0.680398i | \(-0.761807\pi\) |
0.348159 | + | 0.937435i | \(0.386807\pi\) | |||||||
\(108\) | 0.0425851 | + | 0.0526973i | 0.00409775 | + | 0.00507080i | ||||
\(109\) | 1.26589 | + | 6.36406i | 0.121250 | + | 0.609566i | 0.992852 | + | 0.119352i | \(0.0380816\pi\) |
−0.871602 | + | 0.490215i | \(0.836918\pi\) | |||||||
\(110\) | 7.31394 | − | 8.00865i | 0.697357 | − | 0.763595i | ||||
\(111\) | −18.9780 | + | 18.9780i | −1.80131 | + | 1.80131i | ||||
\(112\) | −10.3526 | − | 2.22247i | −0.978231 | − | 0.210003i | ||||
\(113\) | 10.3282 | + | 10.3282i | 0.971595 | + | 0.971595i | 0.999608 | − | 0.0280126i | \(-0.00891785\pi\) |
−0.0280126 | + | 0.999608i | \(0.508918\pi\) | |||||||
\(114\) | −23.2207 | + | 1.05280i | −2.17482 | + | 0.0986042i | ||||
\(115\) | −4.68473 | + | 0.931850i | −0.436853 | + | 0.0868955i | ||||
\(116\) | 1.70660 | + | 5.78292i | 0.158454 | + | 0.536930i | ||||
\(117\) | 7.22235 | + | 10.8090i | 0.667706 | + | 0.999293i | ||||
\(118\) | −2.98949 | − | 12.1290i | −0.275205 | − | 1.11657i | ||||
\(119\) | −0.327025 | − | 0.789507i | −0.0299783 | − | 0.0723740i | ||||
\(120\) | 5.48748 | + | 9.39526i | 0.500936 | + | 0.857666i | ||||
\(121\) | −4.93762 | + | 11.9205i | −0.448875 | + | 1.08368i | ||||
\(122\) | 1.59592 | − | 10.4856i | 0.144487 | − | 0.949322i | ||||
\(123\) | 6.70693 | + | 1.33409i | 0.604743 | + | 0.120291i | ||||
\(124\) | −1.63704 | − | 1.36432i | −0.147011 | − | 0.122520i | ||||
\(125\) | 9.83344 | + | 6.57049i | 0.879529 | + | 0.587683i | ||||
\(126\) | −4.78531 | − | 10.2174i | −0.426309 | − | 0.910241i | ||||
\(127\) | 3.04637 | 0.270322 | 0.135161 | − | 0.990824i | \(-0.456845\pi\) | ||||
0.135161 | + | 0.990824i | \(0.456845\pi\) | |||||||
\(128\) | 0.853861 | − | 11.2814i | 0.0754714 | − | 0.997148i | ||||
\(129\) | −1.69836 | −0.149532 | ||||||||
\(130\) | 4.05852 | + | 8.66561i | 0.355956 | + | 0.760024i | ||||
\(131\) | 6.26153 | + | 4.18382i | 0.547072 | + | 0.365542i | 0.798182 | − | 0.602417i | \(-0.205795\pi\) |
−0.251109 | + | 0.967959i | \(0.580795\pi\) | |||||||
\(132\) | −18.4204 | − | 15.3517i | −1.60329 | − | 1.33619i | ||||
\(133\) | 17.4012 | + | 3.46132i | 1.50888 | + | 0.300134i | ||||
\(134\) | −1.76996 | + | 11.6291i | −0.152901 | + | 1.00460i | ||||
\(135\) | −0.0203360 | + | 0.0490953i | −0.00175024 | + | 0.00422545i | ||||
\(136\) | 0.788452 | − | 0.460510i | 0.0676092 | − | 0.0394884i | ||||
\(137\) | 2.52012 | + | 6.08411i | 0.215308 | + | 0.519800i | 0.994224 | − | 0.107329i | \(-0.0342298\pi\) |
−0.778915 | + | 0.627129i | \(0.784230\pi\) | |||||||
\(138\) | 2.52720 | + | 10.2534i | 0.215130 | + | 0.872829i | ||||
\(139\) | −2.36467 | − | 3.53898i | −0.200569 | − | 0.300172i | 0.717527 | − | 0.696530i | \(-0.245274\pi\) |
−0.918096 | + | 0.396358i | \(0.870274\pi\) | |||||||
\(140\) | −2.35062 | − | 7.96520i | −0.198663 | − | 0.673182i | ||||
\(141\) | −8.89564 | + | 1.76945i | −0.749148 | + | 0.149015i | ||||
\(142\) | 2.23806 | − | 0.101471i | 0.187814 | − | 0.00851528i | ||||
\(143\) | −14.9118 | − | 14.9118i | −1.24699 | − | 1.24699i | ||||
\(144\) | 10.1237 | − | 6.54525i | 0.843640 | − | 0.545437i | ||||
\(145\) | −3.34395 | + | 3.34395i | −0.277700 | + | 0.277700i | ||||
\(146\) | −3.41125 | + | 3.73526i | −0.282317 | + | 0.309133i | ||||
\(147\) | 0.00347435 | + | 0.0174667i | 0.000286559 | + | 0.00144063i | ||||
\(148\) | 13.7578 | + | 17.0247i | 1.13088 | + | 1.39942i | ||||
\(149\) | −2.62422 | + | 1.75345i | −0.214985 | + | 0.143648i | −0.658400 | − | 0.752668i | \(-0.728767\pi\) |
0.443416 | + | 0.896316i | \(0.353767\pi\) | |||||||
\(150\) | 4.55605 | − | 7.53657i | 0.372000 | − | 0.615358i | ||||
\(151\) | 15.7824 | − | 6.53730i | 1.28436 | − | 0.531998i | 0.367058 | − | 0.930198i | \(-0.380365\pi\) |
0.917298 | + | 0.398200i | \(0.130365\pi\) | |||||||
\(152\) | −1.14481 | + | 18.9227i | −0.0928564 | + | 1.53483i | ||||
\(153\) | 0.898873 | + | 0.372325i | 0.0726696 | + | 0.0301007i | ||||
\(154\) | 10.8472 | + | 14.7419i | 0.874091 | + | 1.18793i | ||||
\(155\) | 0.326077 | − | 1.63930i | 0.0261912 | − | 0.131672i | ||||
\(156\) | 18.7325 | − | 9.83143i | 1.49980 | − | 0.787144i | ||||
\(157\) | 1.83146 | − | 2.74098i | 0.146167 | − | 0.218754i | −0.751161 | − | 0.660119i | \(-0.770506\pi\) |
0.897328 | + | 0.441365i | \(0.145506\pi\) | |||||||
\(158\) | 3.19802 | − | 8.83249i | 0.254421 | − | 0.702675i | ||||
\(159\) | − | 11.4959i | − | 0.911680i | ||||||
\(160\) | 8.09190 | − | 3.64170i | 0.639721 | − | 0.287902i | ||||
\(161\) | − | 8.06045i | − | 0.635253i | ||||||
\(162\) | −11.9122 | − | 4.31312i | −0.935915 | − | 0.338871i | ||||
\(163\) | −1.97712 | + | 2.95896i | −0.154860 | + | 0.231764i | −0.900785 | − | 0.434266i | \(-0.857008\pi\) |
0.745925 | + | 0.666030i | \(0.232008\pi\) | |||||||
\(164\) | 1.65923 | − | 5.32452i | 0.129564 | − | 0.415775i | ||||
\(165\) | 3.66909 | − | 18.4458i | 0.285639 | − | 1.43600i | ||||
\(166\) | 4.69384 | − | 3.45377i | 0.364313 | − | 0.268064i | ||||
\(167\) | 11.7493 | + | 4.86672i | 0.909189 | + | 0.376598i | 0.787746 | − | 0.616000i | \(-0.211248\pi\) |
0.121443 | + | 0.992598i | \(0.461248\pi\) | |||||||
\(168\) | −17.3566 | + | 5.98920i | −1.33909 | + | 0.462077i | ||||
\(169\) | 5.17899 | − | 2.14521i | 0.398384 | − | 0.165016i | ||||
\(170\) | 0.612870 | + | 0.370496i | 0.0470050 | + | 0.0284157i | ||||
\(171\) | −16.7956 | + | 11.2224i | −1.28439 | + | 0.858201i | ||||
\(172\) | −0.146180 | + | 1.37737i | −0.0111461 | + | 0.105024i | ||||
\(173\) | 0.119835 | + | 0.602450i | 0.00911086 | + | 0.0458034i | 0.985073 | − | 0.172135i | \(-0.0550667\pi\) |
−0.975962 | + | 0.217939i | \(0.930067\pi\) | |||||||
\(174\) | 7.72033 | + | 7.05063i | 0.585277 | + | 0.534507i | ||||
\(175\) | −4.75315 | + | 4.75315i | −0.359304 | + | 0.359304i | ||||
\(176\) | −14.0357 | + | 13.6176i | −1.05798 | + | 1.02647i | ||||
\(177\) | −15.3171 | − | 15.3171i | −1.15131 | − | 1.15131i | ||||
\(178\) | 0.716419 | + | 15.8014i | 0.0536979 | + | 1.18436i | ||||
\(179\) | 17.8336 | − | 3.54732i | 1.33294 | − | 0.265139i | 0.523344 | − | 0.852122i | \(-0.324684\pi\) |
0.809600 | + | 0.586983i | \(0.199684\pi\) | |||||||
\(180\) | 8.30483 | + | 4.52006i | 0.619006 | + | 0.336906i | ||||
\(181\) | −13.1144 | − | 19.6270i | −0.974783 | − | 1.45887i | −0.886477 | − | 0.462772i | \(-0.846855\pi\) |
−0.0883053 | − | 0.996093i | \(-0.528145\pi\) | |||||||
\(182\) | −15.6785 | + | 3.86436i | −1.16217 | + | 0.286445i | ||||
\(183\) | −7.03827 | − | 16.9919i | −0.520284 | − | 1.25608i | ||||
\(184\) | 8.53308 | − | 1.16705i | 0.629067 | − | 0.0860358i | ||||
\(185\) | −6.56984 | + | 15.8610i | −0.483024 | + | 1.16612i | ||||
\(186\) | −3.65323 | − | 0.556024i | −0.267868 | − | 0.0407696i | ||||
\(187\) | −1.54797 | − | 0.307911i | −0.113199 | − | 0.0225167i | ||||
\(188\) | 0.669374 | + | 7.36670i | 0.0488191 | + | 0.537272i | ||||
\(189\) | −0.0745625 | − | 0.0498210i | −0.00542362 | − | 0.00362395i | ||||
\(190\) | −13.4650 | + | 6.30633i | −0.976857 | + | 0.457509i | ||||
\(191\) | −9.08320 | −0.657237 | −0.328619 | − | 0.944463i | \(-0.606583\pi\) | ||||
−0.328619 | + | 0.944463i | \(0.606583\pi\) | |||||||
\(192\) | −8.85339 | − | 17.5072i | −0.638938 | − | 1.26347i | ||||
\(193\) | −23.8071 | −1.71367 | −0.856836 | − | 0.515589i | \(-0.827573\pi\) | ||||
−0.856836 | + | 0.515589i | \(0.827573\pi\) | |||||||
\(194\) | −9.35885 | + | 4.38320i | −0.671926 | + | 0.314695i | ||||
\(195\) | 13.7965 | + | 9.21854i | 0.987990 | + | 0.660154i | ||||
\(196\) | 0.0144646 | − | 0.00131432i | 0.00103319 | − | 9.38803e-5i | ||||
\(197\) | −7.77466 | − | 1.54648i | −0.553922 | − | 0.110182i | −0.0898105 | − | 0.995959i | \(-0.528626\pi\) |
−0.464111 | + | 0.885777i | \(0.653626\pi\) | |||||||
\(198\) | −20.6007 | − | 3.13544i | −1.46403 | − | 0.222826i | ||||
\(199\) | −3.63779 | + | 8.78239i | −0.257876 | + | 0.622567i | −0.998798 | − | 0.0490240i | \(-0.984389\pi\) |
0.740922 | + | 0.671591i | \(0.234389\pi\) | |||||||
\(200\) | −5.72004 | − | 4.34366i | −0.404468 | − | 0.307143i | ||||
\(201\) | 7.80584 | + | 18.8450i | 0.550581 | + | 1.32922i | ||||
\(202\) | 18.9769 | − | 4.67730i | 1.33521 | − | 0.329094i | ||||
\(203\) | −4.43367 | − | 6.63545i | −0.311182 | − | 0.465717i | ||||
\(204\) | 0.756910 | − | 1.39069i | 0.0529943 | − | 0.0973679i | ||||
\(205\) | 4.29016 | − | 0.853366i | 0.299638 | − | 0.0596017i | ||||
\(206\) | 0.616318 | + | 13.5936i | 0.0429409 | + | 0.947108i | ||||
\(207\) | 6.48913 | + | 6.48913i | 0.451026 | + | 0.451026i | ||||
\(208\) | −6.36099 | − | 16.0384i | −0.441055 | − | 1.11206i | ||||
\(209\) | 23.1707 | − | 23.1707i | 1.60275 | − | 1.60275i | ||||
\(210\) | −10.6337 | − | 9.71131i | −0.733797 | − | 0.670144i | ||||
\(211\) | −1.94225 | − | 9.76436i | −0.133710 | − | 0.672206i | −0.988253 | − | 0.152825i | \(-0.951163\pi\) |
0.854543 | − | 0.519380i | \(-0.173837\pi\) | |||||||
\(212\) | −9.32318 | − | 0.989463i | −0.640319 | − | 0.0679566i | ||||
\(213\) | 3.23016 | − | 2.15832i | 0.221327 | − | 0.147886i | ||||
\(214\) | 5.79197 | + | 3.50139i | 0.395931 | + | 0.239350i | ||||
\(215\) | −1.00368 | + | 0.415738i | −0.0684503 | + | 0.0283531i | ||||
\(216\) | 0.0419467 | − | 0.0861479i | 0.00285411 | − | 0.00586162i | ||||
\(217\) | 2.60585 | + | 1.07938i | 0.176896 | + | 0.0732729i | ||||
\(218\) | 7.39121 | − | 5.43852i | 0.500596 | − | 0.368343i | ||||
\(219\) | −1.71128 | + | 8.60318i | −0.115638 | + | 0.581349i | ||||
\(220\) | −14.6438 | − | 4.56330i | −0.987284 | − | 0.307658i | ||||
\(221\) | 0.773622 | − | 1.15781i | 0.0520394 | − | 0.0778825i | ||||
\(222\) | 35.6886 | + | 12.9220i | 2.39526 | + | 0.867265i | ||||
\(223\) | 12.2329i | 0.819179i | 0.912270 | + | 0.409589i | \(0.134328\pi\) | ||||
−0.912270 | + | 0.409589i | \(0.865672\pi\) | |||||||
\(224\) | 3.36336 | + | 14.5918i | 0.224724 | + | 0.974955i | ||||
\(225\) | − | 7.65312i | − | 0.510208i | ||||||
\(226\) | 7.03238 | − | 19.4225i | 0.467787 | − | 1.29196i | ||||
\(227\) | 9.90466 | − | 14.8234i | 0.657395 | − | 0.983861i | −0.341635 | − | 0.939833i | \(-0.610981\pi\) |
0.999030 | − | 0.0440287i | \(-0.0140193\pi\) | |||||||
\(228\) | 15.2766 | + | 29.1075i | 1.01171 | + | 1.92769i | ||||
\(229\) | −3.25861 | + | 16.3821i | −0.215335 | + | 1.08256i | 0.710229 | + | 0.703971i | \(0.248591\pi\) |
−0.925564 | + | 0.378591i | \(0.876409\pi\) | |||||||
\(230\) | 4.00342 | + | 5.44084i | 0.263977 | + | 0.358758i | ||||
\(231\) | 29.3216 | + | 12.1454i | 1.92922 | + | 0.799108i | ||||
\(232\) | 6.38259 | − | 5.65436i | 0.419037 | − | 0.371227i | ||||
\(233\) | −9.60560 | + | 3.97877i | −0.629283 | + | 0.260658i | −0.674449 | − | 0.738322i | \(-0.735619\pi\) |
0.0451652 | + | 0.998980i | \(0.485619\pi\) | |||||||
\(234\) | 9.51111 | − | 15.7332i | 0.621761 | − | 1.02851i | ||||
\(235\) | −4.82392 | + | 3.22324i | −0.314678 | + | 0.210261i | ||||
\(236\) | −13.7406 | + | 11.1039i | −0.894438 | + | 0.722801i | ||||
\(237\) | −3.17782 | − | 15.9760i | −0.206421 | − | 1.03775i | ||||
\(238\) | −0.814974 | + | 0.892384i | −0.0528269 | + | 0.0578447i | ||||
\(239\) | 14.7694 | − | 14.7694i | 0.955353 | − | 0.955353i | −0.0436917 | − | 0.999045i | \(-0.513912\pi\) |
0.999045 | + | 0.0436917i | \(0.0139119\pi\) | |||||||
\(240\) | 8.74111 | − | 12.6633i | 0.564236 | − | 0.817414i | ||||
\(241\) | 7.07909 | + | 7.07909i | 0.456004 | + | 0.456004i | 0.897341 | − | 0.441337i | \(-0.145496\pi\) |
−0.441337 | + | 0.897341i | \(0.645496\pi\) | |||||||
\(242\) | 18.2284 | − | 0.826456i | 1.17176 | − | 0.0531266i | ||||
\(243\) | −21.6462 | + | 4.30570i | −1.38861 | + | 0.276211i | ||||
\(244\) | −14.3863 | + | 4.24555i | −0.920987 | + | 0.271793i | ||||
\(245\) | 0.00632887 | + | 0.00947183i | 0.000404337 | + | 0.000605133i | ||||
\(246\) | −2.31435 | − | 9.38984i | −0.147558 | − | 0.598674i | ||||
\(247\) | 11.0635 | + | 26.7098i | 0.703957 | + | 1.69950i | ||||
\(248\) | −0.765375 | + | 2.91492i | −0.0486014 | + | 0.185098i | ||||
\(249\) | 3.86712 | − | 9.33606i | 0.245069 | − | 0.591649i | ||||
\(250\) | 2.51662 | − | 16.5349i | 0.159165 | − | 1.04576i | ||||
\(251\) | −17.5456 | − | 3.49003i | −1.10747 | − | 0.220289i | −0.392710 | − | 0.919662i | \(-0.628462\pi\) |
−0.714756 | + | 0.699374i | \(0.753462\pi\) | |||||||
\(252\) | −10.2152 | + | 12.2572i | −0.643500 | + | 0.772131i | ||||
\(253\) | −12.3781 | − | 8.27079i | −0.778205 | − | 0.519980i | ||||
\(254\) | −1.82727 | − | 3.90152i | −0.114653 | − | 0.244803i | ||||
\(255\) | 1.24184 | 0.0777672 | ||||||||
\(256\) | −14.9604 | + | 5.67327i | −0.935026 | + | 0.354579i | ||||
\(257\) | 26.9095 | 1.67857 | 0.839284 | − | 0.543694i | \(-0.182975\pi\) | ||||
0.839284 | + | 0.543694i | \(0.182975\pi\) | |||||||
\(258\) | 1.01871 | + | 2.17510i | 0.0634219 | + | 0.135416i | ||||
\(259\) | −24.0885 | − | 16.0955i | −1.49679 | − | 1.00012i | ||||
\(260\) | 8.66376 | − | 10.3956i | 0.537303 | − | 0.644707i | ||||
\(261\) | 8.91128 | + | 1.77256i | 0.551594 | + | 0.109719i | ||||
\(262\) | 1.60248 | − | 10.5287i | 0.0990016 | − | 0.650467i | ||||
\(263\) | 1.36380 | − | 3.29251i | 0.0840956 | − | 0.203025i | −0.876238 | − | 0.481879i | \(-0.839955\pi\) |
0.960334 | + | 0.278854i | \(0.0899546\pi\) | |||||||
\(264\) | −8.61218 | + | 32.7994i | −0.530043 | + | 2.01866i | ||||
\(265\) | −2.81405 | − | 6.79371i | −0.172865 | − | 0.417334i | ||||
\(266\) | −6.00463 | − | 24.3621i | −0.368167 | − | 1.49374i | ||||
\(267\) | 15.2384 | + | 22.8059i | 0.932576 | + | 1.39570i | ||||
\(268\) | 15.9552 | − | 4.70855i | 0.974618 | − | 0.287621i | ||||
\(269\) | −19.9604 | + | 3.97036i | −1.21700 | + | 0.242077i | −0.761505 | − | 0.648159i | \(-0.775539\pi\) |
−0.455499 | + | 0.890236i | \(0.650539\pi\) | |||||||
\(270\) | 0.0750748 | − | 0.00340382i | 0.00456891 | − | 0.000207150i | ||||
\(271\) | −1.83438 | − | 1.83438i | −0.111431 | − | 0.111431i | 0.649193 | − | 0.760624i | \(-0.275107\pi\) |
−0.760624 | + | 0.649193i | \(0.775107\pi\) | |||||||
\(272\) | −1.06271 | − | 0.733556i | −0.0644361 | − | 0.0444783i | ||||
\(273\) | −19.7996 | + | 19.7996i | −1.19833 | + | 1.19833i | ||||
\(274\) | 6.28036 | − | 6.87690i | 0.379411 | − | 0.415449i | ||||
\(275\) | 2.42204 | + | 12.1764i | 0.146054 | + | 0.734264i | ||||
\(276\) | 11.6158 | − | 9.38680i | 0.699189 | − | 0.565019i | ||||
\(277\) | 20.9494 | − | 13.9979i | 1.25873 | − | 0.841055i | 0.266300 | − | 0.963890i | \(-0.414199\pi\) |
0.992427 | + | 0.122835i | \(0.0391987\pi\) | |||||||
\(278\) | −3.11403 | + | 5.15120i | −0.186767 | + | 0.308948i | ||||
\(279\) | −2.96682 | + | 1.22890i | −0.177619 | + | 0.0735722i | ||||
\(280\) | −8.79117 | + | 7.78813i | −0.525373 | + | 0.465430i | ||||
\(281\) | 11.8565 | + | 4.91114i | 0.707302 | + | 0.292974i | 0.707188 | − | 0.707026i | \(-0.249964\pi\) |
0.000114440 | 1.00000i | \(0.499964\pi\) | ||||||||
\(282\) | 7.60192 | + | 10.3314i | 0.452688 | + | 0.615225i | ||||
\(283\) | −2.20386 | + | 11.0795i | −0.131006 | + | 0.658610i | 0.858347 | + | 0.513070i | \(0.171492\pi\) |
−0.989352 | + | 0.145540i | \(0.953508\pi\) | |||||||
\(284\) | −1.47238 | − | 2.80544i | −0.0873699 | − | 0.166472i | ||||
\(285\) | −14.3242 | + | 21.4377i | −0.848494 | + | 1.26986i | ||||
\(286\) | −10.1533 | + | 28.0421i | −0.600380 | + | 1.65817i | ||||
\(287\) | 7.38157i | 0.435720i | ||||||||
\(288\) | −14.4549 | − | 9.03954i | −0.851765 | − | 0.532660i | ||||
\(289\) | 16.8958i | 0.993870i | ||||||||
\(290\) | 6.28840 | + | 2.27687i | 0.369267 | + | 0.133702i | ||||
\(291\) | −9.95601 | + | 14.9002i | −0.583632 | + | 0.873467i | ||||
\(292\) | 6.82992 | + | 2.12834i | 0.399691 | + | 0.124552i | ||||
\(293\) | 3.55830 | − | 17.8888i | 0.207878 | − | 1.04507i | −0.726058 | − | 0.687633i | \(-0.758650\pi\) |
0.933936 | − | 0.357440i | \(-0.116350\pi\) | |||||||
\(294\) | 0.0202858 | − | 0.0149265i | 0.00118309 | − | 0.000870530i | ||||
\(295\) | −12.8014 | − | 5.30252i | −0.745327 | − | 0.308725i | ||||
\(296\) | 13.5515 | − | 27.8314i | 0.787666 | − | 1.61767i | ||||
\(297\) | −0.153016 | + | 0.0633815i | −0.00887891 | + | 0.00367777i | ||||
\(298\) | 3.81972 | + | 2.30912i | 0.221270 | + | 0.133764i | ||||
\(299\) | 10.9208 | − | 7.29705i | 0.631566 | − | 0.421999i | ||||
\(300\) | −12.3850 | − | 1.31441i | −0.715046 | − | 0.0758874i | ||||
\(301\) | −0.357655 | − | 1.79805i | −0.0206149 | − | 0.103638i | ||||
\(302\) | −17.8390 | − | 16.2915i | −1.02652 | − | 0.937472i | ||||
\(303\) | 23.9649 | − | 23.9649i | 1.37675 | − | 1.37675i | ||||
\(304\) | 24.9212 | − | 9.88402i | 1.42933 | − | 0.566887i | ||||
\(305\) | −8.31881 | − | 8.31881i | −0.476334 | − | 0.476334i | ||||
\(306\) | −0.0623195 | − | 1.37452i | −0.00356257 | − | 0.0785763i | ||||
\(307\) | 6.20347 | − | 1.23395i | 0.354051 | − | 0.0704251i | −0.0148607 | − | 0.999890i | \(-0.504730\pi\) |
0.368912 | + | 0.929464i | \(0.379730\pi\) | |||||||
\(308\) | 12.3737 | − | 22.7345i | 0.705058 | − | 1.29542i | ||||
\(309\) | 13.1093 | + | 19.6194i | 0.745759 | + | 1.11611i | ||||
\(310\) | −2.29506 | + | 0.565672i | −0.130350 | + | 0.0321280i | ||||
\(311\) | 6.82557 | + | 16.4784i | 0.387042 | + | 0.934403i | 0.990563 | + | 0.137056i | \(0.0437640\pi\) |
−0.603521 | + | 0.797347i | \(0.706236\pi\) | |||||||
\(312\) | −23.8273 | − | 18.0939i | −1.34896 | − | 1.02436i | ||||
\(313\) | −2.69923 | + | 6.51651i | −0.152569 | + | 0.368335i | −0.981622 | − | 0.190836i | \(-0.938880\pi\) |
0.829053 | + | 0.559170i | \(0.188880\pi\) | |||||||
\(314\) | −4.60895 | − | 0.701485i | −0.260098 | − | 0.0395871i | ||||
\(315\) | −12.2741 | − | 2.44147i | −0.691567 | − | 0.137561i | ||||
\(316\) | −13.2301 | + | 1.20215i | −0.744251 | + | 0.0676262i | ||||
\(317\) | −27.9024 | − | 18.6438i | −1.56716 | − | 1.04714i | −0.969408 | − | 0.245456i | \(-0.921062\pi\) |
−0.597748 | − | 0.801684i | \(-0.703938\pi\) | |||||||
\(318\) | −14.7229 | + | 6.89542i | −0.825617 | + | 0.386676i | ||||
\(319\) | −14.7392 | −0.825234 | ||||||||
\(320\) | −9.51764 | − | 8.17902i | −0.532052 | − | 0.457221i | ||||
\(321\) | 11.7361 | 0.655046 | ||||||||
\(322\) | −10.3231 | + | 4.83481i | −0.575284 | + | 0.269433i | ||||
\(323\) | 1.79906 | + | 1.20209i | 0.100102 | + | 0.0668861i | ||||
\(324\) | 1.62132 | + | 17.8432i | 0.0900734 | + | 0.991290i | ||||
\(325\) | −10.7428 | − | 2.13688i | −0.595905 | − | 0.118533i | ||||
\(326\) | 4.97549 | + | 0.757273i | 0.275567 | + | 0.0419415i | ||||
\(327\) | 6.08941 | − | 14.7011i | 0.336745 | − | 0.812974i | ||||
\(328\) | −7.81439 | + | 1.06875i | −0.431478 | + | 0.0590120i | ||||
\(329\) | −3.74664 | − | 9.04519i | −0.206559 | − | 0.498678i | ||||
\(330\) | −25.8245 | + | 6.36507i | −1.42159 | + | 0.350386i | ||||
\(331\) | −6.61521 | − | 9.90037i | −0.363605 | − | 0.544173i | 0.603889 | − | 0.797069i | \(-0.293617\pi\) |
−0.967494 | + | 0.252895i | \(0.918617\pi\) | |||||||
\(332\) | −7.23873 | − | 3.93982i | −0.397277 | − | 0.216226i | ||||
\(333\) | 32.3505 | − | 6.43491i | 1.77279 | − | 0.352631i | ||||
\(334\) | −0.814588 | − | 17.9666i | −0.0445723 | − | 0.983089i | ||||
\(335\) | 9.22604 | + | 9.22604i | 0.504072 | + | 0.504072i | ||||
\(336\) | 18.0812 | + | 18.6364i | 0.986413 | + | 1.01670i | ||||
\(337\) | −21.7272 | + | 21.7272i | −1.18356 | + | 1.18356i | −0.204740 | + | 0.978816i | \(0.565635\pi\) |
−0.978816 | + | 0.204740i | \(0.934365\pi\) | |||||||
\(338\) | −5.85385 | − | 5.34605i | −0.318407 | − | 0.290787i | ||||
\(339\) | −6.98796 | − | 35.1308i | −0.379534 | − | 1.90804i | ||||
\(340\) | 0.106887 | − | 1.00714i | 0.00579677 | − | 0.0546198i | ||||
\(341\) | 4.33140 | − | 2.89415i | 0.234559 | − | 0.156727i | ||||
\(342\) | 24.4470 | + | 14.7788i | 1.32194 | + | 0.799147i | ||||
\(343\) | 17.1016 | − | 7.08372i | 0.923400 | − | 0.382485i | ||||
\(344\) | 1.85170 | − | 0.638960i | 0.0998369 | − | 0.0344504i | ||||
\(345\) | 10.8218 | + | 4.48255i | 0.582628 | + | 0.241332i | ||||
\(346\) | 0.699684 | − | 0.514834i | 0.0376153 | − | 0.0276776i | ||||
\(347\) | −6.17477 | + | 31.0427i | −0.331479 | + | 1.66646i | 0.351628 | + | 0.936140i | \(0.385628\pi\) |
−0.683107 | + | 0.730318i | \(0.739372\pi\) | |||||||
\(348\) | 4.39902 | − | 14.1166i | 0.235812 | − | 0.756729i | ||||
\(349\) | −3.28116 | + | 4.91061i | −0.175637 | + | 0.262859i | −0.908835 | − | 0.417156i | \(-0.863027\pi\) |
0.733198 | + | 0.680015i | \(0.238027\pi\) | |||||||
\(350\) | 8.93842 | + | 3.23638i | 0.477779 | + | 0.172992i | ||||
\(351\) | − | 0.146124i | − | 0.00779954i | ||||||
\(352\) | 25.8591 | + | 9.80759i | 1.37830 | + | 0.522746i | ||||
\(353\) | − | 0.529453i | − | 0.0281800i | −0.999901 | − | 0.0140900i | \(-0.995515\pi\) | ||
0.999901 | − | 0.0140900i | \(-0.00448513\pi\) | |||||||
\(354\) | −10.4293 | + | 28.8043i | −0.554312 | + | 1.53093i | ||||
\(355\) | 1.38060 | − | 2.06621i | 0.0732744 | − | 0.109663i | ||||
\(356\) | 19.8073 | − | 10.3955i | 1.04978 | − | 0.550959i | ||||
\(357\) | −0.408838 | + | 2.05537i | −0.0216380 | + | 0.108782i | ||||
\(358\) | −15.2400 | − | 20.7119i | −0.805458 | − | 1.09466i | ||||
\(359\) | −20.4053 | − | 8.45215i | −1.07695 | − | 0.446087i | −0.227512 | − | 0.973775i | \(-0.573059\pi\) |
−0.849438 | + | 0.527688i | \(0.823059\pi\) | |||||||
\(360\) | 0.807502 | − | 13.3473i | 0.0425591 | − | 0.703464i | ||||
\(361\) | −23.9492 | + | 9.92010i | −1.26049 | + | 0.522110i | ||||
\(362\) | −17.2703 | + | 28.5683i | −0.907707 | + | 1.50152i | ||||
\(363\) | 26.3087 | − | 17.5789i | 1.38085 | − | 0.922654i | ||||
\(364\) | 14.3534 | + | 17.7618i | 0.752322 | + | 0.930969i | ||||
\(365\) | 1.09464 | + | 5.50312i | 0.0572960 | + | 0.288047i | ||||
\(366\) | −17.5400 | + | 19.2060i | −0.916830 | + | 1.00391i | ||||
\(367\) | −14.5467 | + | 14.5467i | −0.759333 | + | 0.759333i | −0.976201 | − | 0.216868i | \(-0.930416\pi\) |
0.216868 | + | 0.976201i | \(0.430416\pi\) | |||||||
\(368\) | −6.61295 | − | 10.2284i | −0.344724 | − | 0.533192i | ||||
\(369\) | −5.94259 | − | 5.94259i | −0.309359 | − | 0.309359i | ||||
\(370\) | 24.2541 | − | 1.09965i | 1.26091 | − | 0.0571683i | ||||
\(371\) | 12.1707 | − | 2.42090i | 0.631869 | − | 0.125687i | ||||
\(372\) | 1.47917 | + | 5.01224i | 0.0766912 | + | 0.259872i | ||||
\(373\) | −10.8226 | − | 16.1972i | −0.560375 | − | 0.838660i | 0.437799 | − | 0.899073i | \(-0.355758\pi\) |
−0.998173 | + | 0.0604127i | \(0.980758\pi\) | |||||||
\(374\) | 0.534158 | + | 2.16720i | 0.0276206 | + | 0.112063i | ||||
\(375\) | −11.0987 | − | 26.7947i | −0.573136 | − | 1.38367i | ||||
\(376\) | 9.03310 | − | 5.27595i | 0.465847 | − | 0.272086i | ||||
\(377\) | 4.97637 | − | 12.0140i | 0.256296 | − | 0.618753i | ||||
\(378\) | −0.0190824 | + | 0.125376i | −0.000981492 | + | 0.00644867i | ||||
\(379\) | 21.0139 | + | 4.17992i | 1.07941 | + | 0.214708i | 0.702602 | − | 0.711583i | \(-0.252022\pi\) |
0.376808 | + | 0.926291i | \(0.377022\pi\) | |||||||
\(380\) | 16.1532 | + | 13.4622i | 0.828640 | + | 0.690595i | ||||
\(381\) | −6.21161 | − | 4.15047i | −0.318231 | − | 0.212635i | ||||
\(382\) | 5.44827 | + | 11.6329i | 0.278758 | + | 0.595193i | ||||
\(383\) | −6.11960 | −0.312697 | −0.156348 | − | 0.987702i | \(-0.549972\pi\) | ||||
−0.156348 | + | 0.987702i | \(0.549972\pi\) | |||||||
\(384\) | −17.1112 | + | 21.8398i | −0.873203 | + | 1.11451i | ||||
\(385\) | 20.3012 | 1.03465 | ||||||||
\(386\) | 14.2799 | + | 30.4900i | 0.726829 | + | 1.55190i | ||||
\(387\) | 1.73547 | + | 1.15960i | 0.0882189 | + | 0.0589460i | ||||
\(388\) | 11.2272 | + | 9.35685i | 0.569975 | + | 0.475022i | ||||
\(389\) | 30.1172 | + | 5.99068i | 1.52700 | + | 0.303740i | 0.885959 | − | 0.463764i | \(-0.153502\pi\) |
0.641044 | + | 0.767504i | \(0.278502\pi\) | |||||||
\(390\) | 3.53087 | − | 23.1988i | 0.178793 | − | 1.17472i | ||||
\(391\) | 0.376176 | − | 0.908170i | 0.0190241 | − | 0.0459281i | ||||
\(392\) | −0.0103594 | − | 0.0177366i | −0.000523229 | − | 0.000895834i | ||||
\(393\) | −7.06722 | − | 17.0618i | −0.356494 | − | 0.860653i | ||||
\(394\) | 2.68280 | + | 10.8847i | 0.135157 | + | 0.548363i | ||||
\(395\) | −5.78872 | − | 8.66343i | −0.291262 | − | 0.435905i | ||||
\(396\) | 8.34107 | + | 28.2642i | 0.419155 | + | 1.42033i | ||||
\(397\) | 28.0202 | − | 5.57357i | 1.40630 | − | 0.279730i | 0.567140 | − | 0.823621i | \(-0.308050\pi\) |
0.839155 | + | 0.543892i | \(0.183050\pi\) | |||||||
\(398\) | 13.4297 | − | 0.608890i | 0.673171 | − | 0.0305209i | ||||
\(399\) | −30.7656 | − | 30.7656i | −1.54021 | − | 1.54021i | ||||
\(400\) | −2.13198 | + | 9.93112i | −0.106599 | + | 0.496556i | ||||
\(401\) | 3.48263 | − | 3.48263i | 0.173914 | − | 0.173914i | −0.614782 | − | 0.788697i | \(-0.710756\pi\) |
0.788697 | + | 0.614782i | \(0.210756\pi\) | |||||||
\(402\) | 19.4528 | − | 21.3006i | 0.970220 | − | 1.06238i | ||||
\(403\) | 0.896640 | + | 4.50771i | 0.0446648 | + | 0.224545i | ||||
\(404\) | −17.3729 | − | 21.4983i | −0.864336 | − | 1.06958i | ||||
\(405\) | −11.6842 | + | 7.80716i | −0.580595 | + | 0.387941i | ||||
\(406\) | −5.83869 | + | 9.65830i | −0.289769 | + | 0.479333i | ||||
\(407\) | −49.4343 | + | 20.4764i | −2.45037 | + | 1.01498i | ||||
\(408\) | −2.23508 | − | 0.135221i | −0.110653 | − | 0.00669442i | ||||
\(409\) | 18.5077 | + | 7.66613i | 0.915145 | + | 0.379065i | 0.790024 | − | 0.613076i | \(-0.210068\pi\) |
0.125121 | + | 0.992141i | \(0.460068\pi\) | |||||||
\(410\) | −3.66623 | − | 4.98259i | −0.181062 | − | 0.246073i | ||||
\(411\) | 3.15059 | − | 15.8391i | 0.155407 | − | 0.781285i | ||||
\(412\) | 17.0397 | − | 8.94299i | 0.839487 | − | 0.440589i | ||||
\(413\) | 12.9906 | − | 19.4419i | 0.639228 | − | 0.956672i | ||||
\(414\) | 4.41840 | − | 12.2030i | 0.217152 | − | 0.599745i | ||||
\(415\) | − | 6.46396i | − | 0.317303i | ||||||
\(416\) | −16.7251 | + | 17.7667i | −0.820013 | + | 0.871083i | ||||
\(417\) | 10.4377i | 0.511138i | ||||||||
\(418\) | −43.5732 | − | 15.7768i | −2.13124 | − | 0.771667i | ||||
\(419\) | −17.7369 | + | 26.5451i | −0.866503 | + | 1.29681i | 0.0872386 | + | 0.996187i | \(0.472196\pi\) |
−0.953742 | + | 0.300626i | \(0.902804\pi\) | |||||||
\(420\) | −6.05906 | + | 19.4437i | −0.295652 | + | 0.948758i | ||||
\(421\) | −4.00504 | + | 20.1347i | −0.195194 | + | 0.981304i | 0.751638 | + | 0.659576i | \(0.229264\pi\) |
−0.946832 | + | 0.321729i | \(0.895736\pi\) | |||||||
\(422\) | −11.3403 | + | 8.34430i | −0.552038 | + | 0.406194i | ||||
\(423\) | 10.2982 | + | 4.26564i | 0.500714 | + | 0.207403i | ||||
\(424\) | 4.32500 | + | 12.5338i | 0.210040 | + | 0.608694i | ||||
\(425\) | −0.757362 | + | 0.313710i | −0.0367375 | + | 0.0152172i | ||||
\(426\) | −4.70169 | − | 2.84229i | −0.227798 | − | 0.137710i | ||||
\(427\) | 16.5071 | − | 11.0297i | 0.798836 | − | 0.533765i | ||||
\(428\) | 1.01014 | − | 9.51803i | 0.0488271 | − | 0.460071i | ||||
\(429\) | 10.0892 | + | 50.7218i | 0.487111 | + | 2.44887i | ||||
\(430\) | 1.13446 | + | 1.03605i | 0.0547087 | + | 0.0499630i | ||||
\(431\) | 27.4402 | − | 27.4402i | 1.32175 | − | 1.32175i | 0.409388 | − | 0.912360i | \(-0.365742\pi\) |
0.912360 | − | 0.409388i | \(-0.134258\pi\) | |||||||
\(432\) | −0.135491 | − | 0.00204846i | −0.00651881 | − | 9.85564e-5i | ||||
\(433\) | 5.45442 | + | 5.45442i | 0.262123 | + | 0.262123i | 0.825916 | − | 0.563793i | \(-0.190659\pi\) |
−0.563793 | + | 0.825916i | \(0.690659\pi\) | |||||||
\(434\) | −0.180665 | − | 3.98476i | −0.00867221 | − | 0.191275i | ||||
\(435\) | 11.3743 | − | 2.26249i | 0.545355 | − | 0.108478i | ||||
\(436\) | −11.3985 | − | 6.20388i | −0.545891 | − | 0.297112i | ||||
\(437\) | 11.3385 | + | 16.9693i | 0.542394 | + | 0.811751i | ||||
\(438\) | 12.0446 | − | 2.96869i | 0.575515 | − | 0.141850i | ||||
\(439\) | −8.42495 | − | 20.3396i | −0.402101 | − | 0.970757i | −0.987155 | − | 0.159763i | \(-0.948927\pi\) |
0.585055 | − | 0.810994i | \(-0.301073\pi\) | |||||||
\(440\) | 2.93935 | + | 21.4916i | 0.140128 | + | 1.02457i | ||||
\(441\) | 0.00837565 | − | 0.0202206i | 0.000398840 | − | 0.000962886i | ||||
\(442\) | −1.94685 | − | 0.296311i | −0.0926020 | − | 0.0140941i | ||||
\(443\) | −28.7291 | − | 5.71458i | −1.36496 | − | 0.271508i | −0.542370 | − | 0.840139i | \(-0.682473\pi\) |
−0.822592 | + | 0.568632i | \(0.807473\pi\) | |||||||
\(444\) | −4.85742 | − | 53.4576i | −0.230523 | − | 2.53699i | ||||
\(445\) | 14.5881 | + | 9.74743i | 0.691540 | + | 0.462072i | ||||
\(446\) | 15.6669 | − | 7.33754i | 0.741847 | − | 0.347443i | ||||
\(447\) | 7.73980 | 0.366080 | ||||||||
\(448\) | 16.6704 | − | 13.0599i | 0.787604 | − | 0.617022i | ||||
\(449\) | −6.13112 | −0.289345 | −0.144673 | − | 0.989480i | \(-0.546213\pi\) | ||||
−0.144673 | + | 0.989480i | \(0.546213\pi\) | |||||||
\(450\) | −9.80142 | + | 4.59048i | −0.462044 | + | 0.216397i | ||||
\(451\) | 11.3356 | + | 7.57419i | 0.533772 | + | 0.356655i | ||||
\(452\) | −29.0927 | + | 2.64350i | −1.36841 | + | 0.124340i | ||||
\(453\) | −41.0873 | − | 8.17277i | −1.93045 | − | 0.383990i | ||||
\(454\) | −24.9254 | − | 3.79367i | −1.16981 | − | 0.178046i | ||||
\(455\) | −6.85428 | + | 16.5477i | −0.321334 | + | 0.775768i | ||||
\(456\) | 28.1152 | − | 37.0241i | 1.31661 | − | 1.73381i | ||||
\(457\) | −6.01802 | − | 14.5288i | −0.281511 | − | 0.679628i | 0.718360 | − | 0.695672i | \(-0.244893\pi\) |
−0.999871 | + | 0.0160431i | \(0.994893\pi\) | |||||||
\(458\) | 22.9353 | − | 5.65297i | 1.07170 | − | 0.264146i | ||||
\(459\) | −0.00607582 | − | 0.00909311i | −0.000283595 | − | 0.000424430i | ||||
\(460\) | 4.56681 | − | 8.39073i | 0.212929 | − | 0.391220i | ||||
\(461\) | 8.71608 | − | 1.73374i | 0.405949 | − | 0.0807482i | 0.0121074 | − | 0.999927i | \(-0.496146\pi\) |
0.393841 | + | 0.919179i | \(0.371146\pi\) | |||||||
\(462\) | −2.03289 | − | 44.8375i | −0.0945784 | − | 2.08603i | ||||
\(463\) | 28.3923 | + | 28.3923i | 1.31950 | + | 1.31950i | 0.914171 | + | 0.405329i | \(0.132843\pi\) |
0.405329 | + | 0.914171i | \(0.367157\pi\) | |||||||
\(464\) | −11.0700 | − | 4.78265i | −0.513911 | − | 0.222029i | ||||
\(465\) | −2.89831 | + | 2.89831i | −0.134406 | + | 0.134406i | ||||
\(466\) | 10.8573 | + | 9.91544i | 0.502953 | + | 0.459324i | ||||
\(467\) | −1.97602 | − | 9.93412i | −0.0914392 | − | 0.459696i | −0.999192 | − | 0.0401906i | \(-0.987204\pi\) |
0.907753 | − | 0.419505i | \(-0.137796\pi\) | |||||||
\(468\) | −25.8546 | − | 2.74393i | −1.19513 | − | 0.126838i | ||||
\(469\) | −18.3073 | + | 12.2326i | −0.845355 | + | 0.564848i | ||||
\(470\) | 7.02151 | + | 4.24468i | 0.323878 | + | 0.195793i | ||||
\(471\) | −7.46878 | + | 3.09367i | −0.344143 | + | 0.142549i | ||||
\(472\) | 22.4627 | + | 10.9374i | 1.03393 | + | 0.503436i | ||||
\(473\) | −3.12819 | − | 1.29574i | −0.143834 | − | 0.0595780i | ||||
\(474\) | −18.5545 | + | 13.6525i | −0.852235 | + | 0.627082i | ||||
\(475\) | 3.32039 | − | 16.6927i | 0.152350 | − | 0.765915i | ||||
\(476\) | 1.63172 | + | 0.508478i | 0.0747899 | + | 0.0233060i | ||||
\(477\) | −7.84913 | + | 11.7471i | −0.359387 | + | 0.537861i | ||||
\(478\) | −27.7743 | − | 10.0564i | −1.27037 | − | 0.459968i | ||||
\(479\) | 35.2640i | 1.61125i | 0.592424 | + | 0.805627i | \(0.298171\pi\) | ||||
−0.592424 | + | 0.805627i | \(0.701829\pi\) | |||||||
\(480\) | −21.4611 | − | 3.59915i | −0.979561 | − | 0.164278i | ||||
\(481\) | − | 47.2077i | − | 2.15249i | ||||||
\(482\) | 4.82009 | − | 13.3124i | 0.219549 | − | 0.606365i | ||||
\(483\) | −10.9818 | + | 16.4354i | −0.499689 | + | 0.747837i | ||||
\(484\) | −11.9921 | − | 22.8495i | −0.545098 | − | 1.03861i | ||||
\(485\) | −2.23631 | + | 11.2427i | −0.101546 | + | 0.510505i | ||||
\(486\) | 18.4982 | + | 25.1399i | 0.839093 | + | 1.14037i | ||||
\(487\) | 13.0372 | + | 5.40020i | 0.590774 | + | 0.244707i | 0.657984 | − | 0.753032i | \(-0.271410\pi\) |
−0.0672097 | + | 0.997739i | \(0.521410\pi\) | |||||||
\(488\) | 14.0665 | + | 15.8781i | 0.636759 | + | 0.718767i | ||||
\(489\) | 8.06276 | − | 3.33970i | 0.364611 | − | 0.151027i | ||||
\(490\) | 0.00833449 | − | 0.0137868i | 0.000376514 | − | 0.000622825i | ||||
\(491\) | 1.51681 | − | 1.01350i | 0.0684528 | − | 0.0457387i | −0.520873 | − | 0.853634i | \(-0.674393\pi\) |
0.589326 | + | 0.807896i | \(0.299393\pi\) | |||||||
\(492\) | −10.6375 | + | 8.59621i | −0.479574 | + | 0.387547i | ||||
\(493\) | −0.189868 | − | 0.954531i | −0.00855123 | − | 0.0429899i | ||||
\(494\) | 27.5714 | − | 30.1902i | 1.24049 | − | 1.35832i | ||||
\(495\) | −16.3437 | + | 16.3437i | −0.734593 | + | 0.734593i | ||||
\(496\) | 4.19226 | − | 0.768200i | 0.188238 | − | 0.0344932i | ||||
\(497\) | 2.96525 | + | 2.96525i | 0.133010 | + | 0.133010i | ||||
\(498\) | −14.2764 | + | 0.647276i | −0.639739 | + | 0.0290051i | ||||
\(499\) | 6.00903 | − | 1.19527i | 0.269001 | − | 0.0535076i | −0.0587467 | − | 0.998273i | \(-0.518710\pi\) |
0.327748 | + | 0.944765i | \(0.393710\pi\) | |||||||
\(500\) | −22.6859 | + | 6.69486i | −1.01454 | + | 0.299403i | ||||
\(501\) | −17.3265 | − | 25.9309i | −0.774091 | − | 1.15851i | ||||
\(502\) | 6.05443 | + | 24.5642i | 0.270223 | + | 1.09635i | ||||
\(503\) | 0.252675 | + | 0.610011i | 0.0112662 | + | 0.0271990i | 0.929413 | − | 0.369042i | \(-0.120314\pi\) |
−0.918146 | + | 0.396241i | \(0.870314\pi\) | |||||||
\(504\) | 21.8252 | + | 5.73067i | 0.972172 | + | 0.255264i | ||||
\(505\) | 8.29623 | − | 20.0289i | 0.369177 | − | 0.891273i | ||||
\(506\) | −3.16787 | + | 20.8137i | −0.140829 | + | 0.925284i | ||||
\(507\) | −13.4828 | − | 2.68189i | −0.598791 | − | 0.119107i | ||||
\(508\) | −3.90069 | + | 4.68040i | −0.173065 | + | 0.207659i | ||||
\(509\) | 0.523675 | + | 0.349909i | 0.0232115 | + | 0.0155094i | 0.567122 | − | 0.823634i | \(-0.308057\pi\) |
−0.543910 | + | 0.839143i | \(0.683057\pi\) | |||||||
\(510\) | −0.744880 | − | 1.59044i | −0.0329838 | − | 0.0704259i | ||||
\(511\) | −9.46857 | −0.418865 | ||||||||
\(512\) | 16.2393 | + | 15.7570i | 0.717684 | + | 0.696369i | ||||
\(513\) | 0.227055 | 0.0100247 | ||||||||
\(514\) | −16.1408 | − | 34.4632i | −0.711940 | − | 1.52011i | ||||
\(515\) | 12.5498 | + | 8.38549i | 0.553009 | + | 0.369509i | ||||
\(516\) | 2.17464 | − | 2.60933i | 0.0957332 | − | 0.114870i | ||||
\(517\) | −17.7348 | − | 3.52766i | −0.779974 | − | 0.155146i | ||||
\(518\) | −6.16486 | + | 40.5048i | −0.270868 | + | 1.77968i | ||||
\(519\) | 0.576450 | − | 1.39167i | 0.0253033 | − | 0.0610877i | ||||
\(520\) | −18.5104 | − | 4.86030i | −0.811735 | − | 0.213138i | ||||
\(521\) | 0.0504944 | + | 0.121904i | 0.00221220 | + | 0.00534072i | 0.924982 | − | 0.380011i | \(-0.124080\pi\) |
−0.922770 | + | 0.385352i | \(0.874080\pi\) | |||||||
\(522\) | −3.07501 | − | 12.4760i | −0.134589 | − | 0.546059i | ||||
\(523\) | 2.15403 | + | 3.22374i | 0.0941892 | + | 0.140964i | 0.875572 | − | 0.483088i | \(-0.160485\pi\) |
−0.781382 | + | 0.624053i | \(0.785485\pi\) | |||||||
\(524\) | −14.4455 | + | 4.26301i | −0.631053 | + | 0.186231i | ||||
\(525\) | 16.1676 | − | 3.21593i | 0.705611 | − | 0.140355i | ||||
\(526\) | −5.03478 | + | 0.228272i | −0.219527 | + | 0.00995313i | ||||
\(527\) | 0.243227 | + | 0.243227i | 0.0105951 | + | 0.0105951i | ||||
\(528\) | 47.1722 | − | 8.64396i | 2.05291 | − | 0.376180i | ||||
\(529\) | −9.70721 | + | 9.70721i | −0.422053 | + | 0.422053i | ||||
\(530\) | −7.01285 | + | 7.67896i | −0.304619 | + | 0.333553i | ||||
\(531\) | 5.19361 | + | 26.1101i | 0.225384 | + | 1.13308i | ||||
\(532\) | −27.5991 | + | 22.3030i | −1.19657 | + | 0.966958i | ||||
\(533\) | −10.0010 | + | 6.68246i | −0.433192 | + | 0.289450i | ||||
\(534\) | 20.0675 | − | 33.1954i | 0.868404 | − | 1.43650i | ||||
\(535\) | 6.93569 | − | 2.87286i | 0.299856 | − | 0.124204i | ||||
\(536\) | −15.6005 | − | 17.6097i | −0.673839 | − | 0.760623i | ||||
\(537\) | −41.1960 | − | 17.0639i | −1.77774 | − | 0.736363i | ||||
\(538\) | 17.0575 | + | 23.1819i | 0.735400 | + | 0.999444i | ||||
\(539\) | −0.00692661 | + | 0.0348224i | −0.000298350 | + | 0.00149991i | ||||
\(540\) | −0.0493905 | − | 0.0941074i | −0.00212543 | − | 0.00404974i | ||||
\(541\) | −6.56680 | + | 9.82791i | −0.282329 | + | 0.422535i | −0.945346 | − | 0.326070i | \(-0.894276\pi\) |
0.663017 | + | 0.748604i | \(0.269276\pi\) | |||||||
\(542\) | −1.24902 | + | 3.44961i | −0.0536498 | + | 0.148173i | ||||
\(543\) | 57.8873i | 2.48418i | ||||||||
\(544\) | −0.302041 | + | 1.80102i | −0.0129499 | + | 0.0772181i | ||||
\(545\) | − | 10.1785i | − | 0.436001i | ||||||
\(546\) | 37.2338 | + | 13.4814i | 1.59346 | + | 0.576951i | ||||
\(547\) | 3.90437 | − | 5.84330i | 0.166939 | − | 0.249841i | −0.738563 | − | 0.674185i | \(-0.764495\pi\) |
0.905501 | + | 0.424343i | \(0.139495\pi\) | |||||||
\(548\) | −12.5744 | − | 3.91843i | −0.537151 | − | 0.167387i | ||||
\(549\) | −4.40964 | + | 22.1688i | −0.188199 | + | 0.946140i | ||||
\(550\) | 14.1417 | − | 10.4055i | 0.603002 | − | 0.443694i | ||||
\(551\) | 18.6680 | + | 7.73252i | 0.795282 | + | 0.329417i | ||||
\(552\) | −18.9891 | − | 9.24609i | −0.808231 | − | 0.393540i | ||||
\(553\) | 16.2446 | − | 6.72872i | 0.690789 | − | 0.286134i | ||||
\(554\) | −30.4931 | − | 18.4339i | −1.29553 | − | 0.783181i | ||||
\(555\) | 35.0055 | − | 23.3900i | 1.48590 | − | 0.992848i | ||||
\(556\) | 8.46504 | + | 0.898390i | 0.358998 | + | 0.0381002i | ||||
\(557\) | −8.38778 | − | 42.1682i | −0.355402 | − | 1.78672i | −0.582477 | − | 0.812847i | \(-0.697916\pi\) |
0.227076 | − | 0.973877i | \(-0.427084\pi\) | |||||||
\(558\) | 3.35341 | + | 3.06252i | 0.141961 | + | 0.129647i | ||||
\(559\) | 2.11233 | − | 2.11233i | 0.0893422 | − | 0.0893422i | ||||
\(560\) | 15.2474 | + | 6.58747i | 0.644322 | + | 0.278371i | ||||
\(561\) | 2.73684 | + | 2.73684i | 0.115549 | + | 0.115549i | ||||
\(562\) | −0.822023 | − | 18.1306i | −0.0346749 | − | 0.764793i | ||||
\(563\) | −10.4779 | + | 2.08419i | −0.441592 | + | 0.0878381i | −0.410879 | − | 0.911690i | \(-0.634778\pi\) |
−0.0307136 | + | 0.999528i | \(0.509778\pi\) | |||||||
\(564\) | 8.67174 | − | 15.9328i | 0.365146 | − | 0.670893i | ||||
\(565\) | −12.7293 | − | 19.0507i | −0.535525 | − | 0.801469i | ||||
\(566\) | 15.5116 | − | 3.82321i | 0.652001 | − | 0.160701i | ||||
\(567\) | −9.07492 | − | 21.9088i | −0.381111 | − | 0.920083i | ||||
\(568\) | −2.70979 | + | 3.56845i | −0.113700 | + | 0.149729i | ||||
\(569\) | −9.56257 | + | 23.0861i | −0.400884 | + | 0.967819i | 0.586568 | + | 0.809900i | \(0.300479\pi\) |
−0.987452 | + | 0.157919i | \(0.949521\pi\) | |||||||
\(570\) | 36.0474 | + | 5.48644i | 1.50986 | + | 0.229802i | ||||
\(571\) | 20.9430 | + | 4.16583i | 0.876439 | + | 0.174335i | 0.612753 | − | 0.790274i | \(-0.290062\pi\) |
0.263685 | + | 0.964609i | \(0.415062\pi\) | |||||||
\(572\) | 42.0040 | − | 3.81668i | 1.75627 | − | 0.159584i | ||||
\(573\) | 18.5208 | + | 12.3752i | 0.773718 | + | 0.516982i | ||||
\(574\) | 9.45365 | − | 4.42760i | 0.394588 | − | 0.184804i | ||||
\(575\) | −7.73227 | −0.322458 | ||||||||
\(576\) | −2.90670 | + | 23.9347i | −0.121112 | + | 0.997278i | ||||
\(577\) | 13.5096 | 0.562413 | 0.281207 | − | 0.959647i | \(-0.409265\pi\) | ||||
0.281207 | + | 0.959647i | \(0.409265\pi\) | |||||||
\(578\) | 21.6386 | − | 10.1344i | 0.900047 | − | 0.421535i | ||||
\(579\) | 48.5431 | + | 32.4355i | 2.01738 | + | 1.34797i | ||||
\(580\) | −0.855885 | − | 9.41932i | −0.0355387 | − | 0.391116i | ||||
\(581\) | 10.6985 | + | 2.12806i | 0.443847 | + | 0.0882866i | ||||
\(582\) | 25.0547 | + | 3.81334i | 1.03855 | + | 0.158068i | ||||
\(583\) | 8.77059 | − | 21.1741i | 0.363241 | − | 0.876941i | ||||
\(584\) | −1.37092 | − | 10.0238i | −0.0567292 | − | 0.414786i | ||||
\(585\) | −7.80377 | − | 18.8400i | −0.322646 | − | 0.778937i | ||||
\(586\) | −25.0447 | + | 6.17286i | −1.03459 | + | 0.254999i | ||||
\(587\) | 7.71852 | + | 11.5516i | 0.318577 | + | 0.476785i | 0.955851 | − | 0.293853i | \(-0.0949377\pi\) |
−0.637273 | + | 0.770638i | \(0.719938\pi\) | |||||||
\(588\) | −0.0312843 | − | 0.0170271i | −0.00129014 | − | 0.000702185i | ||||
\(589\) | −7.00431 | + | 1.39324i | −0.288607 | + | 0.0574076i | ||||
\(590\) | 0.887532 | + | 19.5755i | 0.0365391 | + | 0.805909i | ||||
\(591\) | 13.7457 | + | 13.7457i | 0.565423 | + | 0.565423i | ||||
\(592\) | −43.7724 | − | 0.661785i | −1.79903 | − | 0.0271992i | ||||
\(593\) | 3.80843 | − | 3.80843i | 0.156393 | − | 0.156393i | −0.624573 | − | 0.780966i | \(-0.714727\pi\) |
0.780966 | + | 0.624573i | \(0.214727\pi\) | |||||||
\(594\) | 0.172955 | + | 0.157952i | 0.00709644 | + | 0.00648086i | ||||
\(595\) | 0.261518 | + | 1.31474i | 0.0107212 | + | 0.0538991i | ||||
\(596\) | 0.666174 | − | 6.27700i | 0.0272876 | − | 0.257116i | ||||
\(597\) | 19.3829 | − | 12.9512i | 0.793290 | − | 0.530059i | ||||
\(598\) | −15.8959 | − | 9.60948i | −0.650032 | − | 0.392961i | ||||
\(599\) | 9.18975 | − | 3.80652i | 0.375483 | − | 0.155530i | −0.186957 | − | 0.982368i | \(-0.559863\pi\) |
0.562440 | + | 0.826838i | \(0.309863\pi\) | |||||||
\(600\) | 5.74535 | + | 16.6500i | 0.234553 | + | 0.679732i | ||||
\(601\) | 28.7287 | + | 11.8998i | 1.17187 | + | 0.485404i | 0.881810 | − | 0.471605i | \(-0.156325\pi\) |
0.290059 | + | 0.957009i | \(0.406325\pi\) | |||||||
\(602\) | −2.08826 | + | 1.53656i | −0.0851110 | + | 0.0626254i | ||||
\(603\) | 4.89054 | − | 24.5864i | 0.199158 | − | 1.00124i | ||||
\(604\) | −10.1646 | + | 32.6185i | −0.413591 | + | 1.32723i | ||||
\(605\) | 11.2446 | − | 16.8287i | 0.457157 | − | 0.684183i | ||||
\(606\) | −45.0667 | − | 16.3175i | −1.83071 | − | 0.662853i | ||||
\(607\) | − | 38.5851i | − | 1.56612i | −0.621946 | − | 0.783060i | \(-0.713657\pi\) | ||
0.621946 | − | 0.783060i | \(-0.286343\pi\) | |||||||
\(608\) | −27.6067 | − | 25.9882i | −1.11960 | − | 1.05396i | ||||
\(609\) | 19.5704i | 0.793031i | ||||||||
\(610\) | −5.66421 | + | 15.6438i | −0.229337 | + | 0.633398i | ||||
\(611\) | 8.86320 | − | 13.2647i | 0.358567 | − | 0.536633i | ||||
\(612\) | −1.72299 | + | 0.904277i | −0.0696476 | + | 0.0365532i | ||||
\(613\) | −6.11185 | + | 30.7263i | −0.246855 | + | 1.24102i | 0.636114 | + | 0.771595i | \(0.280541\pi\) |
−0.882970 | + | 0.469430i | \(0.844459\pi\) | |||||||
\(614\) | −5.30129 | − | 7.20471i | −0.213942 | − | 0.290758i | ||||
\(615\) | −9.91038 | − | 4.10501i | −0.399625 | − | 0.165530i | ||||
\(616\) | −36.5383 | − | 2.21054i | −1.47217 | − | 0.0890653i | ||||
\(617\) | 29.6969 | − | 12.3009i | 1.19555 | − | 0.495214i | 0.305992 | − | 0.952034i | \(-0.401012\pi\) |
0.889559 | + | 0.456820i | \(0.151012\pi\) | |||||||
\(618\) | 17.2636 | − | 28.5572i | 0.694443 | − | 1.14874i | ||||
\(619\) | −29.9290 | + | 19.9979i | −1.20295 | + | 0.803784i | −0.985064 | − | 0.172191i | \(-0.944915\pi\) |
−0.217884 | + | 0.975975i | \(0.569915\pi\) | |||||||
\(620\) | 2.10108 | + | 2.60000i | 0.0843813 | + | 0.104419i | ||||
\(621\) | −0.0201243 | − | 0.101172i | −0.000807560 | − | 0.00405988i | ||||
\(622\) | 17.0099 | − | 18.6256i | 0.682036 | − | 0.746819i | ||||
\(623\) | −20.9356 | + | 20.9356i | −0.838766 | + | 0.838766i | ||||
\(624\) | −8.88095 | + | 41.3689i | −0.355522 | + | 1.65608i | ||||
\(625\) | −4.14010 | − | 4.14010i | −0.165604 | − | 0.165604i | ||||
\(626\) | 9.96480 | − | 0.451794i | 0.398274 | − | 0.0180573i | ||||
\(627\) | −78.8140 | + | 15.6771i | −3.14753 | + | 0.626083i | ||||
\(628\) | 1.86613 | + | 6.32349i | 0.0744667 | + | 0.252335i | ||||
\(629\) | −1.96289 | − | 2.93767i | −0.0782655 | − | 0.117133i | ||||
\(630\) | 4.23541 | + | 17.1840i | 0.168743 | + | 0.684627i | ||||
\(631\) | −15.0722 | − | 36.3874i | −0.600013 | − | 1.44856i | −0.873567 | − | 0.486703i | \(-0.838199\pi\) |
0.273554 | − | 0.961857i | \(-0.411801\pi\) | |||||||
\(632\) | 9.47525 | + | 16.2228i | 0.376905 | + | 0.645310i | ||||
\(633\) | −9.34296 | + | 22.5559i | −0.371349 | + | 0.896516i | ||||
\(634\) | −7.14092 | + | 46.9178i | −0.283602 | + | 1.86334i | ||||
\(635\) | −4.68686 | − | 0.932275i | −0.185992 | − | 0.0369962i | ||||
\(636\) | 17.6621 | + | 14.7197i | 0.700347 | + | 0.583674i | ||||
\(637\) | −0.0260454 | − | 0.0174030i | −0.00103196 | − | 0.000689532i | ||||
\(638\) | 8.84081 | + | 18.8766i | 0.350011 | + | 0.747331i | ||||
\(639\) | −4.77440 | −0.188872 | ||||||||
\(640\) | −4.76611 | + | 17.0953i | −0.188397 | + | 0.675749i | ||||
\(641\) | −26.2384 | −1.03636 | −0.518178 | − | 0.855273i | \(-0.673390\pi\) | ||||
−0.518178 | + | 0.855273i | \(0.673390\pi\) | |||||||
\(642\) | −7.03953 | − | 15.0306i | −0.277828 | − | 0.593209i | ||||
\(643\) | −38.6415 | − | 25.8194i | −1.52387 | − | 1.01822i | −0.984345 | − | 0.176251i | \(-0.943603\pi\) |
−0.539527 | − | 0.841968i | \(-0.681397\pi\) | |||||||
\(644\) | 12.3840 | + | 10.3209i | 0.487997 | + | 0.406700i | ||||
\(645\) | 2.61293 | + | 0.519745i | 0.102884 | + | 0.0204649i | ||||
\(646\) | 0.460423 | − | 3.02511i | 0.0181151 | − | 0.119021i | ||||
\(647\) | −12.2347 | + | 29.5371i | −0.480994 | + | 1.16122i | 0.478143 | + | 0.878282i | \(0.341310\pi\) |
−0.959137 | + | 0.282941i | \(0.908690\pi\) | |||||||
\(648\) | 21.8795 | − | 12.7791i | 0.859508 | − | 0.502012i | ||||
\(649\) | −16.5265 | − | 39.8984i | −0.648721 | − | 1.56615i | ||||
\(650\) | 3.70702 | + | 15.0402i | 0.145401 | + | 0.589925i | ||||
\(651\) | −3.84280 | − | 5.75115i | −0.150611 | − | 0.225406i | ||||
\(652\) | −2.01454 | − | 6.82638i | −0.0788955 | − | 0.267342i | ||||
\(653\) | 7.27084 | − | 1.44626i | 0.284530 | − | 0.0565965i | −0.0507621 | − | 0.998711i | \(-0.516165\pi\) |
0.335292 | + | 0.942114i | \(0.391165\pi\) | |||||||
\(654\) | −22.4804 | + | 1.01924i | −0.879054 | + | 0.0398554i | ||||
\(655\) | −8.35304 | − | 8.35304i | −0.326380 | − | 0.326380i | ||||
\(656\) | 6.05598 | + | 9.36692i | 0.236446 | + | 0.365717i | ||||
\(657\) | 7.62275 | − | 7.62275i | 0.297392 | − | 0.297392i | ||||
\(658\) | −9.33697 | + | 10.2238i | −0.363993 | + | 0.398567i | ||||
\(659\) | −3.26994 | − | 16.4391i | −0.127379 | − | 0.640376i | −0.990738 | − | 0.135786i | \(-0.956644\pi\) |
0.863359 | − | 0.504589i | \(-0.168356\pi\) | |||||||
\(660\) | 23.6418 | + | 29.2558i | 0.920256 | + | 1.13878i | ||||
\(661\) | 33.5942 | − | 22.4469i | 1.30666 | − | 0.873084i | 0.309690 | − | 0.950838i | \(-0.399775\pi\) |
0.996973 | + | 0.0777539i | \(0.0247748\pi\) | |||||||
\(662\) | −8.71157 | + | 14.4106i | −0.338585 | + | 0.560083i | ||||
\(663\) | −3.15486 | + | 1.30679i | −0.122525 | + | 0.0507513i | ||||
\(664\) | −0.703841 | + | 11.6339i | −0.0273143 | + | 0.451482i | ||||
\(665\) | −25.7126 | − | 10.6505i | −0.997093 | − | 0.413010i | ||||
\(666\) | −27.6456 | − | 37.5718i | −1.07125 | − | 1.45588i | ||||
\(667\) | 1.79090 | − | 9.00345i | 0.0693438 | − | 0.348615i | ||||
\(668\) | −22.5214 | + | 11.8199i | −0.871379 | + | 0.457327i | ||||
\(669\) | 16.6665 | − | 24.9432i | 0.644365 | − | 0.964360i | ||||
\(670\) | 6.28193 | − | 17.3498i | 0.242692 | − | 0.670282i | ||||
\(671\) | − | 36.6669i | − | 1.41551i | ||||||
\(672\) | 13.0223 | − | 34.3353i | 0.502347 | − | 1.32451i | ||||
\(673\) | 23.6438i | 0.911401i | 0.890133 | + | 0.455701i | \(0.150611\pi\) | ||||
−0.890133 | + | 0.455701i | \(0.849389\pi\) | |||||||
\(674\) | 40.8586 | + | 14.7939i | 1.57382 | + | 0.569839i | ||||
\(675\) | −0.0477926 | + | 0.0715267i | −0.00183954 | + | 0.00275306i | ||||
\(676\) | −3.33550 | + | 10.7037i | −0.128289 | + | 0.411682i | ||||
\(677\) | −4.38350 | + | 22.0374i | −0.168472 | + | 0.846964i | 0.800412 | + | 0.599450i | \(0.204614\pi\) |
−0.968884 | + | 0.247515i | \(0.920386\pi\) | |||||||
\(678\) | −40.8009 | + | 30.0217i | −1.56695 | + | 1.15297i | ||||
\(679\) | −17.8715 | − | 7.40262i | −0.685845 | − | 0.284086i | ||||
\(680\) | −1.35397 | + | 0.467209i | −0.0519222 | + | 0.0179167i | ||||
\(681\) | −40.3916 | + | 16.7307i | −1.54781 | + | 0.641123i | ||||
\(682\) | −6.30462 | − | 3.81131i | −0.241417 | − | 0.145943i | ||||
\(683\) | −18.4573 | + | 12.3328i | −0.706251 | + | 0.471902i | −0.856102 | − | 0.516807i | \(-0.827121\pi\) |
0.149851 | + | 0.988709i | \(0.452121\pi\) | |||||||
\(684\) | 4.26365 | − | 40.1741i | 0.163025 | − | 1.53609i | ||||
\(685\) | −2.01531 | − | 10.1317i | −0.0770011 | − | 0.387111i | ||||
\(686\) | −19.3300 | − | 17.6533i | −0.738024 | − | 0.674004i | ||||
\(687\) | 28.9639 | − | 28.9639i | 1.10504 | − | 1.10504i | ||||
\(688\) | −1.92901 | − | 1.98823i | −0.0735427 | − | 0.0758005i | ||||
\(689\) | 14.2980 | + | 14.2980i | 0.544709 | + | 0.544709i | ||||
\(690\) | −0.750285 | − | 16.5483i | −0.0285629 | − | 0.629985i | ||||
\(691\) | 31.1924 | − | 6.20456i | 1.18662 | − | 0.236033i | 0.437962 | − | 0.898993i | \(-0.355700\pi\) |
0.748654 | + | 0.662961i | \(0.230700\pi\) | |||||||
\(692\) | −1.07904 | − | 0.587286i | −0.0410188 | − | 0.0223253i | ||||
\(693\) | −21.6697 | − | 32.4310i | −0.823163 | − | 1.23195i | ||||
\(694\) | 43.4604 | − | 10.7119i | 1.64973 | − | 0.406617i | ||||
\(695\) | 2.55503 | + | 6.16839i | 0.0969179 | + | 0.233980i | ||||
\(696\) | −20.7179 | + | 2.83353i | −0.785309 | + | 0.107405i | ||||
\(697\) | −0.344493 | + | 0.831680i | −0.0130486 | + | 0.0315021i | ||||
\(698\) | 8.25717 | + | 1.25675i | 0.312538 | + | 0.0475686i | ||||
\(699\) | 25.0068 | + | 4.97416i | 0.945844 | + | 0.188140i | ||||
\(700\) | −1.21657 | − | 13.3888i | −0.0459819 | − | 0.506048i | ||||
\(701\) | −0.645283 | − | 0.431165i | −0.0243720 | − | 0.0162849i | 0.543325 | − | 0.839523i | \(-0.317165\pi\) |
−0.567697 | + | 0.823238i | \(0.692165\pi\) | |||||||
\(702\) | −0.187143 | + | 0.0876481i | −0.00706326 | + | 0.00330806i | ||||
\(703\) | 73.3537 | 2.76659 | ||||||||
\(704\) | −2.95011 | − | 39.0008i | −0.111186 | − | 1.46990i | ||||
\(705\) | 14.2275 | 0.535839 | ||||||||
\(706\) | −0.678076 | + | 0.317576i | −0.0255197 | + | 0.0119521i | ||||
\(707\) | 30.4184 | + | 20.3249i | 1.14400 | + | 0.764397i | ||||
\(708\) | 43.1456 | − | 3.92042i | 1.62151 | − | 0.147338i | ||||
\(709\) | 37.8179 | + | 7.52244i | 1.42028 | + | 0.282511i | 0.844703 | − | 0.535236i | \(-0.179777\pi\) |
0.575578 | + | 0.817747i | \(0.304777\pi\) | |||||||
\(710\) | −3.47432 | − | 0.528794i | −0.130389 | − | 0.0198453i | ||||
\(711\) | −7.66081 | + | 18.4948i | −0.287303 | + | 0.693610i | ||||
\(712\) | −25.1943 | − | 19.1320i | −0.944198 | − | 0.717001i | ||||
\(713\) | 1.24161 | + | 2.99751i | 0.0464986 | + | 0.112257i | ||||
\(714\) | 2.87756 | − | 0.709244i | 0.107690 | − | 0.0265428i | ||||
\(715\) | 18.3785 | + | 27.5054i | 0.687317 | + | 1.02864i | ||||
\(716\) | −17.3847 | + | 31.9414i | −0.649697 | + | 1.19370i | ||||
\(717\) | −50.2374 | + | 9.99283i | −1.87615 | + | 0.373189i | ||||
\(718\) | 1.41471 | + | 31.2030i | 0.0527966 | + | 1.16449i | ||||
\(719\) | −23.5486 | − | 23.5486i | −0.878215 | − | 0.878215i | 0.115135 | − | 0.993350i | \(-0.463270\pi\) |
−0.993350 | + | 0.115135i | \(0.963270\pi\) | |||||||
\(720\) | −17.5784 | + | 6.97178i | −0.655107 | + | 0.259823i | ||||
\(721\) | −18.0104 | + | 18.0104i | −0.670742 | + | 0.670742i | ||||
\(722\) | 27.0700 | + | 24.7218i | 1.00744 | + | 0.920049i | ||||
\(723\) | −4.78964 | − | 24.0792i | −0.178129 | − | 0.895514i | ||||
\(724\) | 46.9468 | + | 4.98243i | 1.74476 | + | 0.185171i | ||||
\(725\) | −6.36529 | + | 4.25315i | −0.236401 | + | 0.157958i | ||||
\(726\) | −38.2940 | − | 23.1497i | −1.42122 | − | 0.859165i | ||||
\(727\) | −30.1679 | + | 12.4960i | −1.11887 | + | 0.463449i | −0.863982 | − | 0.503522i | \(-0.832037\pi\) |
−0.254884 | + | 0.966972i | \(0.582037\pi\) | |||||||
\(728\) | 14.1382 | − | 29.0364i | 0.523998 | − | 1.07616i | ||||
\(729\) | 25.1739 | + | 10.4274i | 0.932368 | + | 0.386200i | ||||
\(730\) | 6.39132 | − | 4.70279i | 0.236553 | − | 0.174058i | ||||
\(731\) | 0.0436171 | − | 0.219278i | 0.00161324 | − | 0.00811028i | ||||
\(732\) | 35.1182 | + | 10.9435i | 1.29800 | + | 0.404484i | ||||
\(733\) | −8.07259 | + | 12.0815i | −0.298168 | + | 0.446240i | −0.950058 | − | 0.312074i | \(-0.898976\pi\) |
0.651890 | + | 0.758313i | \(0.273976\pi\) | |||||||
\(734\) | 27.3555 | + | 9.90475i | 1.00971 | + | 0.365591i | ||||
\(735\) | − | 0.0279359i | − | 0.00103043i | ||||||
\(736\) | −9.13303 | + | 14.6044i | −0.336648 | + | 0.538327i | ||||
\(737\) | 40.6657i | 1.49794i | ||||||||
\(738\) | −4.04626 | + | 11.1752i | −0.148945 | + | 0.411365i | ||||
\(739\) | −0.511163 | + | 0.765010i | −0.0188034 | + | 0.0281414i | −0.840752 | − | 0.541420i | \(-0.817887\pi\) |
0.821949 | + | 0.569561i | \(0.192887\pi\) | |||||||
\(740\) | −15.9564 | − | 30.4028i | −0.586568 | − | 1.11763i | ||||
\(741\) | 13.8314 | − | 69.5351i | 0.508109 | − | 2.55443i | ||||
\(742\) | −10.4007 | − | 14.1350i | −0.381820 | − | 0.518912i | ||||
\(743\) | 1.25045 | + | 0.517953i | 0.0458745 | + | 0.0190019i | 0.405503 | − | 0.914094i | \(-0.367096\pi\) |
−0.359628 | + | 0.933096i | \(0.617096\pi\) | |||||||
\(744\) | 5.53199 | − | 4.90081i | 0.202813 | − | 0.179673i | ||||
\(745\) | 4.57399 | − | 1.89461i | 0.167578 | − | 0.0694131i | ||||
\(746\) | −14.2523 | + | 23.5760i | −0.521815 | + | 0.863180i | ||||
\(747\) | −10.3261 | + | 6.89967i | −0.377812 | + | 0.252446i | ||||
\(748\) | 2.45515 | − | 1.98402i | 0.0897692 | − | 0.0725431i | ||||
\(749\) | 2.47149 | + | 12.4250i | 0.0903063 | + | 0.454001i | ||||
\(750\) | −27.6590 | + | 30.2862i | −1.00997 | + | 1.10590i | ||||
\(751\) | −0.132681 | + | 0.132681i | −0.00484161 | + | 0.00484161i | −0.709523 | − | 0.704682i | \(-0.751090\pi\) |
0.704682 | + | 0.709523i | \(0.251090\pi\) | |||||||
\(752\) | −12.1752 | − | 8.40417i | −0.443983 | − | 0.306469i | ||||
\(753\) | 31.0208 | + | 31.0208i | 1.13046 | + | 1.13046i | ||||
\(754\) | −18.3714 | + | 0.832940i | −0.669046 | + | 0.0303339i | ||||
\(755\) | −26.2820 | + | 5.22781i | −0.956499 | + | 0.190259i | ||||
\(756\) | 0.172017 | − | 0.0507641i | 0.00625619 | − | 0.00184627i | ||||
\(757\) | 13.3592 | + | 19.9934i | 0.485547 | + | 0.726673i | 0.990656 | − | 0.136383i | \(-0.0435476\pi\) |
−0.505109 | + | 0.863056i | \(0.668548\pi\) | |||||||
\(758\) | −7.25124 | − | 29.4199i | −0.263377 | − | 1.06858i | ||||
\(759\) | 13.9708 | + | 33.7286i | 0.507110 | + | 1.22427i | ||||
\(760\) | 7.55218 | − | 28.7624i | 0.273946 | − | 1.04332i | ||||
\(761\) | −5.79279 | + | 13.9850i | −0.209988 | + | 0.506957i | −0.993421 | − | 0.114520i | \(-0.963467\pi\) |
0.783433 | + | 0.621477i | \(0.213467\pi\) | |||||||
\(762\) | −1.58971 | + | 10.4448i | −0.0575890 | + | 0.378375i | ||||
\(763\) | 16.8464 | + | 3.35097i | 0.609882 | + | 0.121313i | ||||
\(764\) | 11.6305 | − | 13.9553i | 0.420775 | − | 0.504885i | ||||
\(765\) | −1.26898 | − | 0.847905i | −0.0458801 | − | 0.0306561i | ||||
\(766\) | 3.67065 | + | 7.83743i | 0.132626 | + | 0.283178i | ||||
\(767\) | 38.1014 | 1.37576 | ||||||||
\(768\) | 38.2340 | + | 8.81461i | 1.37965 | + | 0.318070i | ||||
\(769\) | −19.9780 | −0.720424 | −0.360212 | − | 0.932870i | \(-0.617296\pi\) | ||||
−0.360212 | + | 0.932870i | \(0.617296\pi\) | |||||||
\(770\) | −12.1770 | − | 26.0000i | −0.438830 | − | 0.936974i | ||||
\(771\) | −54.8690 | − | 36.6623i | −1.97606 | − | 1.32036i | ||||
\(772\) | 30.4835 | − | 36.5769i | 1.09712 | − | 1.31643i | ||||
\(773\) | −22.0912 | − | 4.39422i | −0.794566 | − | 0.158049i | −0.218914 | − | 0.975744i | \(-0.570252\pi\) |
−0.575652 | + | 0.817695i | \(0.695252\pi\) | |||||||
\(774\) | 0.444150 | − | 2.91819i | 0.0159646 | − | 0.104892i | ||||
\(775\) | 1.03543 | − | 2.49975i | 0.0371938 | − | 0.0897937i | ||||
\(776\) | 5.24912 | − | 19.9912i | 0.188432 | − | 0.717643i | ||||
\(777\) | 27.1881 | + | 65.6379i | 0.975368 | + | 2.35475i | ||||
\(778\) | −10.3925 | − | 42.1647i | −0.372590 | − | 1.51168i | ||||
\(779\) | −10.3835 | − | 15.5401i | −0.372029 | − | 0.556781i | ||||
\(780\) | −31.8288 | + | 9.39303i | −1.13965 | + | 0.336325i | ||||
\(781\) | 7.59625 | − | 1.51099i | 0.271815 | − | 0.0540674i | ||||
\(782\) | −1.38874 | + | 0.0629641i | −0.0496612 | + | 0.00225159i | ||||
\(783\) | −0.0722162 | − | 0.0722162i | −0.00258080 | − | 0.00258080i | ||||
\(784\) | −0.0165017 | + | 0.0239061i | −0.000589347 | + | 0.000853791i | ||||
\(785\) | −3.65654 | + | 3.65654i | −0.130507 | + | 0.130507i | ||||
\(786\) | −17.6121 | + | 19.2850i | −0.628205 | + | 0.687874i | ||||
\(787\) | 4.09490 | + | 20.5865i | 0.145968 | + | 0.733828i | 0.982552 | + | 0.185990i | \(0.0595491\pi\) |
−0.836584 | + | 0.547838i | \(0.815451\pi\) | |||||||
\(788\) | 12.3309 | − | 9.96472i | 0.439272 | − | 0.354978i | ||||
\(789\) | −7.26663 | + | 4.85541i | −0.258699 | + | 0.172857i | ||||
\(790\) | −7.62317 | + | 12.6102i | −0.271220 | + | 0.448649i | ||||
\(791\) | 35.7214 | − | 14.7963i | 1.27011 | − | 0.526096i | ||||
\(792\) | 31.1951 | − | 27.6359i | 1.10847 | − | 0.981998i | ||||
\(793\) | 29.8875 | + | 12.3798i | 1.06134 | + | 0.439620i | ||||
\(794\) | −23.9452 | − | 32.5427i | −0.849782 | − | 1.15490i | ||||
\(795\) | −3.51805 | + | 17.6864i | −0.124772 | + | 0.627273i | ||||
\(796\) | −8.83520 | − | 16.8343i | −0.313155 | − | 0.596677i | ||||
\(797\) | −8.04761 | + | 12.0441i | −0.285061 | + | 0.426624i | −0.946172 | − | 0.323664i | \(-0.895085\pi\) |
0.661111 | + | 0.750288i | \(0.270085\pi\) | |||||||
\(798\) | −20.9481 | + | 57.8557i | −0.741554 | + | 2.04807i | ||||
\(799\) | − | 1.19397i | − | 0.0422398i | ||||||
\(800\) | 13.9977 | − | 3.22642i | 0.494893 | − | 0.114071i | ||||
\(801\) | − | 33.7087i | − | 1.19104i | ||||||
\(802\) | −6.54919 | − | 2.37129i | −0.231260 | − | 0.0837333i | ||||
\(803\) | −9.71565 | + | 14.5405i | −0.342858 | + | 0.513123i | ||||
\(804\) | −38.9480 | − | 12.1370i | −1.37359 | − | 0.428039i | ||||
\(805\) | −2.46672 | + | 12.4011i | −0.0869406 | + | 0.437080i | ||||
\(806\) | 5.23525 | − | 3.85215i | 0.184404 | − | 0.135686i | ||||
\(807\) | 46.1089 | + | 19.0989i | 1.62311 | + | 0.672314i | ||||
\(808\) | −17.1125 | + | 35.1448i | −0.602016 | + | 1.23639i | ||||
\(809\) | 22.9681 | − | 9.51370i | 0.807516 | − | 0.334484i | 0.0595534 | − | 0.998225i | \(-0.481032\pi\) |
0.747962 | + | 0.663741i | \(0.231032\pi\) | |||||||
\(810\) | 17.0071 | + | 10.2812i | 0.597570 | + | 0.361246i | ||||
\(811\) | −42.7853 | + | 28.5882i | −1.50240 | + | 1.00387i | −0.513037 | + | 0.858366i | \(0.671480\pi\) |
−0.989358 | + | 0.145502i | \(0.953520\pi\) | |||||||
\(812\) | 15.8716 | + | 1.68445i | 0.556985 | + | 0.0591125i | ||||
\(813\) | 1.24112 | + | 6.23955i | 0.0435281 | + | 0.218831i | ||||
\(814\) | 55.8759 | + | 51.0289i | 1.95845 | + | 1.78856i | ||||
\(815\) | 3.94733 | − | 3.94733i | 0.138269 | − | 0.138269i | ||||
\(816\) | 1.16746 | + | 2.94360i | 0.0408694 | + | 0.103047i | ||||
\(817\) | 3.28225 | + | 3.28225i | 0.114831 | + | 0.114831i | ||||
\(818\) | −1.28315 | − | 28.3012i | −0.0448643 | − | 0.989529i | ||||
\(819\) | 33.7511 | − | 6.71351i | 1.17936 | − | 0.234589i | ||||
\(820\) | −4.18218 | + | 7.68403i | −0.146048 | + | 0.268338i | ||||
\(821\) | 23.3191 | + | 34.8995i | 0.813842 | + | 1.21800i | 0.973013 | + | 0.230750i | \(0.0741178\pi\) |
−0.159171 | + | 0.987251i | \(0.550882\pi\) | |||||||
\(822\) | −22.1751 | + | 5.46558i | −0.773444 | + | 0.190634i | ||||
\(823\) | 9.73452 | + | 23.5012i | 0.339324 | + | 0.819201i | 0.997781 | + | 0.0665823i | \(0.0212095\pi\) |
−0.658457 | + | 0.752618i | \(0.728791\pi\) | |||||||
\(824\) | −21.6741 | − | 16.4588i | −0.755053 | − | 0.573369i | ||||
\(825\) | 11.6509 | − | 28.1278i | 0.405632 | − | 0.979283i | ||||
\(826\) | −32.6914 | − | 4.97566i | −1.13748 | − | 0.173125i | ||||
\(827\) | −32.4157 | − | 6.44788i | −1.12720 | − | 0.224215i | −0.403939 | − | 0.914786i | \(-0.632359\pi\) |
−0.723265 | + | 0.690571i | \(0.757359\pi\) | |||||||
\(828\) | −18.2787 | + | 1.66089i | −0.635230 | + | 0.0577200i | ||||
\(829\) | −35.9504 | − | 24.0213i | −1.24861 | − | 0.834295i | −0.257363 | − | 0.966315i | \(-0.582854\pi\) |
−0.991247 | + | 0.132020i | \(0.957854\pi\) | |||||||
\(830\) | −8.27845 | + | 3.87720i | −0.287349 | + | 0.134580i | ||||
\(831\) | −61.7874 | −2.14338 | ||||||||
\(832\) | 32.7860 | + | 10.7632i | 1.13665 | + | 0.373145i | ||||
\(833\) | −0.00234438 | −8.12281e−5 | ||||||||
\(834\) | 13.3677 | − | 6.26074i | 0.462886 | − | 0.216792i | ||||
\(835\) | −16.5870 | − | 11.0831i | −0.574018 | − | 0.383546i | ||||
\(836\) | 5.93055 | + | 65.2678i | 0.205112 | + | 2.25734i | ||||
\(837\) | 0.0354024 | + | 0.00704198i | 0.00122369 | + | 0.000243406i | ||||
\(838\) | 44.6355 | + | 6.79356i | 1.54191 | + | 0.234680i | ||||
\(839\) | 10.8934 | − | 26.2990i | 0.376083 | − | 0.907943i | −0.616610 | − | 0.787269i | \(-0.711494\pi\) |
0.992692 | − | 0.120674i | \(-0.0385057\pi\) | |||||||
\(840\) | 28.5361 | − | 3.90281i | 0.984590 | − | 0.134660i | ||||
\(841\) | 7.61974 | + | 18.3957i | 0.262750 | + | 0.634334i | ||||
\(842\) | 28.1890 | − | 6.94786i | 0.971457 | − | 0.239439i | ||||
\(843\) | −17.4846 | − | 26.1676i | −0.602203 | − | 0.901261i | ||||
\(844\) | 17.4888 | + | 9.51859i | 0.601988 | + | 0.327643i | ||||
\(845\) | −8.62441 | + | 1.71550i | −0.296689 | + | 0.0590150i | ||||
\(846\) | −0.713980 | − | 15.7476i | −0.0245471 | − | 0.541413i | ||||
\(847\) | 24.1511 | + | 24.1511i | 0.829843 | + | 0.829843i | ||||
\(848\) | 13.4579 | − | 13.0571i | 0.462147 | − | 0.448381i | ||||
\(849\) | 19.5888 | − | 19.5888i | 0.672286 | − | 0.672286i | ||||
\(850\) | 0.856051 | + | 0.781793i | 0.0293623 | + | 0.0268153i | ||||
\(851\) | −6.50146 | − | 32.6851i | −0.222867 | − | 1.12043i | ||||
\(852\) | −0.819994 | + | 7.72636i | −0.0280925 | + | 0.264701i | ||||
\(853\) | −17.6610 | + | 11.8007i | −0.604702 | + | 0.404049i | −0.819888 | − | 0.572524i | \(-0.805964\pi\) |
0.215186 | + | 0.976573i | \(0.430964\pi\) | |||||||
\(854\) | −24.0271 | − | 14.5250i | −0.822192 | − | 0.497036i | ||||
\(855\) | 29.2745 | − | 12.1259i | 1.00117 | − | 0.414696i | ||||
\(856\) | −12.7957 | + | 4.41539i | −0.437349 | + | 0.150915i | ||||
\(857\) | −49.6011 | − | 20.5455i | −1.69434 | − | 0.701820i | −0.694498 | − | 0.719494i | \(-0.744374\pi\) |
−0.999844 | + | 0.0176747i | \(0.994374\pi\) | |||||||
\(858\) | 58.9083 | − | 43.3452i | 2.01110 | − | 1.47978i | ||||
\(859\) | −2.87816 | + | 14.4695i | −0.0982015 | + | 0.493693i | 0.900113 | + | 0.435657i | \(0.143484\pi\) |
−0.998314 | + | 0.0580359i | \(0.981516\pi\) | |||||||
\(860\) | 0.646414 | − | 2.07436i | 0.0220425 | − | 0.0707352i | ||||
\(861\) | 10.0569 | − | 15.0512i | 0.342737 | − | 0.512942i | ||||
\(862\) | −51.6021 | − | 18.6838i | −1.75757 | − | 0.636373i | ||||
\(863\) | − | 8.61085i | − | 0.293117i | −0.989202 | − | 0.146558i | \(-0.953180\pi\) | ||
0.989202 | − | 0.146558i | \(-0.0468196\pi\) | |||||||
\(864\) | 0.0786464 | + | 0.174753i | 0.00267561 | + | 0.00594523i | ||||
\(865\) | − | 0.963545i | − | 0.0327615i | ||||||
\(866\) | 3.71387 | − | 10.2572i | 0.126202 | − | 0.348554i | ||||
\(867\) | 23.0193 | − | 34.4508i | 0.781777 | − | 1.17001i | ||||
\(868\) | −4.99496 | + | 2.62151i | −0.169540 | + | 0.0889800i | ||||
\(869\) | 6.33544 | − | 31.8504i | 0.214915 | − | 1.08045i | ||||
\(870\) | −9.72009 | − | 13.2101i | −0.329542 | − | 0.447863i | ||||
\(871\) | −33.1469 | − | 13.7299i | −1.12314 | − | 0.465220i | ||||
\(872\) | −1.10831 | + | 18.3194i | −0.0375322 | + | 0.620374i | ||||
\(873\) | 20.3471 | − | 8.42806i | 0.688646 | − | 0.285247i | ||||
\(874\) | 14.9317 | − | 24.6998i | 0.505072 | − | 0.835484i | ||||
\(875\) | 26.0303 | − | 17.3929i | 0.879985 | − | 0.587987i | ||||
\(876\) | −11.0266 | − | 13.6450i | −0.372555 | − | 0.461022i | ||||
\(877\) | 5.30612 | + | 26.6757i | 0.179175 | + | 0.900774i | 0.960846 | + | 0.277083i | \(0.0893677\pi\) |
−0.781671 | + | 0.623691i | \(0.785632\pi\) | |||||||
\(878\) | −20.9957 | + | 22.9900i | −0.708571 | + | 0.775874i | ||||
\(879\) | −31.6276 | + | 31.6276i | −1.06677 | + | 1.06677i | ||||
\(880\) | 25.7614 | − | 16.6555i | 0.868418 | − | 0.561457i | ||||
\(881\) | −29.5442 | − | 29.5442i | −0.995371 | − | 0.995371i | 0.00461881 | − | 0.999989i | \(-0.498530\pi\) |
−0.999989 | + | 0.00461881i | \(0.998530\pi\) | |||||||
\(882\) | −0.0309206 | + | 0.00140191i | −0.00104115 | + | 4.72047e-5i | ||||
\(883\) | 7.22231 | − | 1.43661i | 0.243050 | − | 0.0483457i | −0.0720619 | − | 0.997400i | \(-0.522958\pi\) |
0.315112 | + | 0.949054i | \(0.397958\pi\) | |||||||
\(884\) | 0.788265 | + | 2.67108i | 0.0265122 | + | 0.0898381i | ||||
\(885\) | 18.8780 | + | 28.2530i | 0.634578 | + | 0.949713i | ||||
\(886\) | 9.91354 | + | 40.2214i | 0.333052 | + | 1.35126i | ||||
\(887\) | −7.30913 | − | 17.6458i | −0.245417 | − | 0.592488i | 0.752388 | − | 0.658721i | \(-0.228902\pi\) |
−0.997804 | + | 0.0662325i | \(0.978902\pi\) | |||||||
\(888\) | −65.5501 | + | 38.2858i | −2.19972 | + | 1.28479i | ||||
\(889\) | 3.08601 | − | 7.45028i | 0.103501 | − | 0.249874i | ||||
\(890\) | 3.73345 | − | 24.5298i | 0.125145 | − | 0.822239i | ||||
\(891\) | −42.9562 | − | 8.54452i | −1.43909 | − | 0.286252i | ||||
\(892\) | −18.7945 | − | 15.6635i | −0.629287 | − | 0.524453i | ||||
\(893\) | 20.6114 | + | 13.7721i | 0.689733 | + | 0.460865i | ||||
\(894\) | −4.64247 | − | 9.91244i | −0.155267 | − | 0.331521i | ||||
\(895\) | −28.5226 | −0.953406 | ||||||||
\(896\) | −26.7252 | − | 13.5164i | −0.892826 | − | 0.451553i | ||||
\(897\) | −32.2094 | −1.07544 | ||||||||
\(898\) | 3.67755 | + | 7.85218i | 0.122722 | + | 0.262031i | ||||
\(899\) | 2.67089 | + | 1.78463i | 0.0890791 | + | 0.0595207i | ||||
\(900\) | 11.7581 | + | 9.79933i | 0.391938 | + | 0.326644i | ||||
\(901\) | 1.48425 | + | 0.295235i | 0.0494475 | + | 0.00983572i | ||||
\(902\) | 2.90106 | − | 19.0607i | 0.0965947 | − | 0.634653i | ||||
\(903\) | −1.72045 | + | 4.15354i | −0.0572531 | + | 0.138221i | ||||
\(904\) | 20.8359 | + | 35.6737i | 0.692991 | + | 1.18649i | ||||
\(905\) | 14.1701 | + | 34.2097i | 0.471030 | + | 1.13717i | ||||
\(906\) | 14.1780 | + | 57.5231i | 0.471031 | + | 1.91108i | ||||
\(907\) | −0.812920 | − | 1.21662i | −0.0269926 | − | 0.0403973i | 0.817728 | − | 0.575605i | \(-0.195233\pi\) |
−0.844721 | + | 0.535208i | \(0.820233\pi\) | |||||||
\(908\) | 10.0921 | + | 34.1978i | 0.334919 | + | 1.13489i | ||||
\(909\) | −40.8513 | + | 8.12583i | −1.35495 | + | 0.269517i | ||||
\(910\) | 25.3041 | − | 1.14726i | 0.838824 | − | 0.0380315i | ||||
\(911\) | −14.4917 | − | 14.4917i | −0.480130 | − | 0.480130i | 0.425043 | − | 0.905173i | \(-0.360259\pi\) |
−0.905173 | + | 0.425043i | \(0.860259\pi\) | |||||||
\(912\) | −64.2811 | − | 13.7996i | −2.12856 | − | 0.456952i | ||||
\(913\) | 14.2456 | − | 14.2456i | 0.471461 | − | 0.471461i | ||||
\(914\) | −14.9975 | + | 16.4220i | −0.496072 | + | 0.543191i | ||||
\(915\) | 5.62843 | + | 28.2960i | 0.186070 | + | 0.935438i | ||||
\(916\) | −20.9969 | − | 25.9828i | −0.693755 | − | 0.858495i | ||||
\(917\) | 16.5750 | − | 11.0751i | 0.547356 | − | 0.365732i | ||||
\(918\) | −0.00800125 | + | 0.0132356i | −0.000264081 | + | 0.000436839i | ||||
\(919\) | 5.31718 | − | 2.20245i | 0.175397 | − | 0.0726520i | −0.293257 | − | 0.956034i | \(-0.594739\pi\) |
0.468654 | + | 0.883382i | \(0.344739\pi\) | |||||||
\(920\) | −13.4853 | − | 0.815853i | −0.444599 | − | 0.0268979i | ||||
\(921\) | −14.3302 | − | 5.93575i | −0.472195 | − | 0.195590i | ||||
\(922\) | −7.44848 | − | 10.1228i | −0.245303 | − | 0.333378i | ||||
\(923\) | −1.33309 | + | 6.70192i | −0.0438793 | + | 0.220596i | ||||
\(924\) | −56.2044 | + | 29.4979i | −1.84899 | + | 0.970409i | ||||
\(925\) | −15.4401 | + | 23.1078i | −0.507668 | + | 0.759779i | ||||
\(926\) | 19.3321 | − | 53.3924i | 0.635291 | − | 1.75458i | ||||
\(927\) | − | 28.9988i | − | 0.952447i | ||||||
\(928\) | 0.514786 | + | 17.0462i | 0.0168987 | + | 0.559568i | ||||
\(929\) | − | 45.4656i | − | 1.49168i | −0.666126 | − | 0.745839i | \(-0.732049\pi\) | ||
0.666126 | − | 0.745839i | \(-0.267951\pi\) | |||||||
\(930\) | 5.45035 | + | 1.97343i | 0.178724 | + | 0.0647115i | ||||
\(931\) | 0.0270416 | − | 0.0404707i | 0.000886254 | − | 0.00132637i | ||||
\(932\) | 6.18643 | − | 19.8525i | 0.202643 | − | 0.650289i | ||||
\(933\) | 8.53316 | − | 42.8991i | 0.279363 | − | 1.40445i | ||||
\(934\) | −11.5375 | + | 8.48937i | −0.377518 | + | 0.277781i | ||||
\(935\) | 2.28734 | + | 0.947446i | 0.0748039 | + | 0.0309848i | ||||
\(936\) | 11.9939 | + | 34.7581i | 0.392032 | + | 1.13610i | ||||
\(937\) | −23.3888 | + | 9.68796i | −0.764079 | + | 0.316492i | −0.730471 | − | 0.682943i | \(-0.760700\pi\) |
−0.0336074 | + | 0.999435i | \(0.510700\pi\) | |||||||
\(938\) | 26.6475 | + | 16.1091i | 0.870071 | + | 0.525980i | ||||
\(939\) | 14.3821 | − | 9.60978i | 0.469341 | − | 0.313603i | ||||
\(940\) | 1.22458 | − | 11.5386i | 0.0399414 | − | 0.376346i | ||||
\(941\) | −9.35177 | − | 47.0145i | −0.304859 | − | 1.53263i | −0.764558 | − | 0.644555i | \(-0.777043\pi\) |
0.459698 | − | 0.888075i | \(-0.347957\pi\) | |||||||
\(942\) | 8.44201 | + | 7.70970i | 0.275055 | + | 0.251196i | ||||
\(943\) | −6.00406 | + | 6.00406i | −0.195519 | + | 0.195519i | ||||
\(944\) | 0.534127 | − | 35.3287i | 0.0173843 | − | 1.14985i | ||||
\(945\) | 0.0994682 | + | 0.0994682i | 0.00323570 | + | 0.00323570i | ||||
\(946\) | 0.216879 | + | 4.78351i | 0.00705136 | + | 0.155525i | ||||
\(947\) | 19.0706 | − | 3.79337i | 0.619711 | − | 0.123268i | 0.124757 | − | 0.992187i | \(-0.460185\pi\) |
0.494954 | + | 0.868919i | \(0.335185\pi\) | |||||||
\(948\) | 28.6143 | + | 15.5739i | 0.929348 | + | 0.505815i | ||||
\(949\) | −8.57180 | − | 12.8286i | −0.278252 | − | 0.416434i | ||||
\(950\) | −23.3702 | + | 5.76015i | −0.758229 | + | 0.186884i | ||||
\(951\) | 31.4927 | + | 76.0301i | 1.02122 | + | 2.46545i | ||||
\(952\) | −0.327524 | − | 2.39476i | −0.0106151 | − | 0.0776145i | ||||
\(953\) | 11.3085 | − | 27.3010i | 0.366317 | − | 0.884367i | −0.628030 | − | 0.778189i | \(-0.716139\pi\) |
0.994347 | − | 0.106178i | \(-0.0338614\pi\) | |||||||
\(954\) | 19.7526 | + | 3.00636i | 0.639515 | + | 0.0973346i | ||||
\(955\) | 13.9746 | + | 2.77971i | 0.452206 | + | 0.0899493i | ||||
\(956\) | 3.78023 | + | 41.6028i | 0.122261 | + | 1.34553i | ||||
\(957\) | 30.0534 | + | 20.0811i | 0.971489 | + | 0.649128i | ||||
\(958\) | 45.1630 | − | 21.1520i | 1.45915 | − | 0.683390i | ||||
\(959\) | 17.4323 | 0.562920 | ||||||||
\(960\) | 8.26331 | + | 29.6443i | 0.266697 | + | 0.956766i | ||||
\(961\) | 29.8647 | 0.963377 | ||||||||
\(962\) | −60.4594 | + | 28.3161i | −1.94929 | + | 0.912946i | ||||
\(963\) | −11.9926 | − | 8.01318i | −0.386455 | − | 0.258221i | ||||
\(964\) | −19.9405 | + | 1.81189i | −0.642242 | + | 0.0583572i | ||||
\(965\) | 36.6274 | + | 7.28563i | 1.17908 | + | 0.234533i | ||||
\(966\) | 27.6361 | + | 4.20623i | 0.889176 | + | 0.135333i | ||||
\(967\) | 7.94230 | − | 19.1744i | 0.255407 | − | 0.616607i | −0.743217 | − | 0.669051i | \(-0.766701\pi\) |
0.998624 | + | 0.0524434i | \(0.0167009\pi\) | |||||||
\(968\) | −22.0705 | + | 29.0640i | −0.709373 | + | 0.934153i | ||||
\(969\) | −2.03055 | − | 4.90217i | −0.0652306 | − | 0.157481i | ||||
\(970\) | 15.7400 | − | 3.87951i | 0.505382 | − | 0.124564i | ||||
\(971\) | 13.5493 | + | 20.2780i | 0.434819 | + | 0.650753i | 0.982571 | − | 0.185888i | \(-0.0595161\pi\) |
−0.547752 | + | 0.836641i | \(0.684516\pi\) | |||||||
\(972\) | 21.1014 | − | 38.7701i | 0.676828 | − | 1.24355i | ||||
\(973\) | −11.0504 | + | 2.19807i | −0.354261 | + | 0.0704668i | ||||
\(974\) | −0.903881 | − | 19.9361i | −0.0289622 | − | 0.638793i | ||||
\(975\) | 18.9935 | + | 18.9935i | 0.608279 | + | 0.608279i | ||||
\(976\) | 11.8979 | − | 27.5390i | 0.380843 | − | 0.881503i | ||||
\(977\) | −2.62269 | + | 2.62269i | −0.0839073 | + | 0.0839073i | −0.747815 | − | 0.663907i | \(-0.768897\pi\) |
0.663907 | + | 0.747815i | \(0.268897\pi\) | |||||||
\(978\) | −9.11338 | − | 8.32284i | −0.291414 | − | 0.266135i | ||||
\(979\) | 10.6680 | + | 53.6318i | 0.340952 | + | 1.71408i | ||||
\(980\) | −0.0226561 | − | 0.00240448i | −0.000723723 | − | 7.68083e-5i | ||||
\(981\) | −16.2601 | + | 10.8646i | −0.519145 | + | 0.346882i | ||||
\(982\) | −2.20781 | − | 1.33468i | −0.0704541 | − | 0.0425913i | ||||
\(983\) | −15.6197 | + | 6.46990i | −0.498191 | + | 0.206358i | −0.617607 | − | 0.786487i | \(-0.711898\pi\) |
0.119416 | + | 0.992844i | \(0.461898\pi\) | |||||||
\(984\) | 17.3898 | + | 8.46735i | 0.554367 | + | 0.269929i | ||||
\(985\) | 11.4881 | + | 4.75853i | 0.366041 | + | 0.151619i | ||||
\(986\) | −1.10859 | + | 0.815711i | −0.0353047 | + | 0.0259775i | ||||
\(987\) | −4.68396 | + | 23.5479i | −0.149092 | + | 0.749537i | ||||
\(988\) | −55.2027 | − | 17.2023i | −1.75623 | − | 0.547277i | ||||
\(989\) | 1.17160 | − | 1.75342i | 0.0372546 | − | 0.0557555i | ||||
\(990\) | 30.7347 | + | 11.1283i | 0.976814 | + | 0.353680i | ||||
\(991\) | − | 26.6890i | − | 0.847803i | −0.905708 | − | 0.423902i | \(-0.860660\pi\) | ||
0.905708 | − | 0.423902i | \(-0.139340\pi\) | |||||||
\(992\) | −3.49843 | − | 4.90828i | −0.111075 | − | 0.155838i | ||||
\(993\) | 29.1998i | 0.926628i | ||||||||
\(994\) | 2.01901 | − | 5.57624i | 0.0640393 | − | 0.176867i | ||||
\(995\) | 8.28441 | − | 12.3985i | 0.262634 | − | 0.393059i | ||||
\(996\) | 9.39219 | + | 17.8956i | 0.297603 | + | 0.567044i | ||||
\(997\) | 9.09171 | − | 45.7071i | 0.287937 | − | 1.44756i | −0.517910 | − | 0.855435i | \(-0.673290\pi\) |
0.805847 | − | 0.592124i | \(-0.201710\pi\) | |||||||
\(998\) | −5.13512 | − | 6.97888i | −0.162549 | − | 0.220912i | ||||
\(999\) | −0.342535 | − | 0.141883i | −0.0108373 | − | 0.00448897i |
(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 | 64.2.i.a.5.3 | ✓ | 56 | |
3.2 | odd | 2 | 576.2.bd.a.325.5 | 56 | |||
4.3 | odd | 2 | 256.2.i.a.113.7 | 56 | |||
8.3 | odd | 2 | 512.2.i.a.481.1 | 56 | |||
8.5 | even | 2 | 512.2.i.b.481.7 | 56 | |||
64.13 | even | 16 | inner | 64.2.i.a.13.3 | yes | 56 | |
64.19 | odd | 16 | 512.2.i.a.33.1 | 56 | |||
64.45 | even | 16 | 512.2.i.b.33.7 | 56 | |||
64.51 | odd | 16 | 256.2.i.a.145.7 | 56 | |||
192.77 | odd | 16 | 576.2.bd.a.397.5 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.2.i.a.5.3 | ✓ | 56 | 1.1 | even | 1 | trivial | |
64.2.i.a.13.3 | yes | 56 | 64.13 | even | 16 | inner | |
256.2.i.a.113.7 | 56 | 4.3 | odd | 2 | |||
256.2.i.a.145.7 | 56 | 64.51 | odd | 16 | |||
512.2.i.a.33.1 | 56 | 64.19 | odd | 16 | |||
512.2.i.a.481.1 | 56 | 8.3 | odd | 2 | |||
512.2.i.b.33.7 | 56 | 64.45 | even | 16 | |||
512.2.i.b.481.7 | 56 | 8.5 | even | 2 | |||
576.2.bd.a.325.5 | 56 | 3.2 | odd | 2 | |||
576.2.bd.a.397.5 | 56 | 192.77 | odd | 16 |