Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [798,2,Mod(289,798)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(798, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 6, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("798.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 798.bp (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.37206208130\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 613.5 | ||
Character | \(\chi\) | \(=\) | 798.613 |
Dual form | 798.2.bp.e.289.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/798\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | −0.766044 | − | 0.642788i | −0.442276 | − | 0.371114i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.172004 | − | 0.975484i | 0.0769226 | − | 0.436250i | −0.921886 | − | 0.387460i | \(-0.873352\pi\) |
0.998809 | − | 0.0487897i | \(-0.0155364\pi\) | |||||||
\(6\) | 0.173648 | + | 0.984808i | 0.0708916 | + | 0.402046i | ||||
\(7\) | −1.52438 | − | 2.16246i | −0.576163 | − | 0.817335i | ||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0.173648 | + | 0.984808i | 0.0578827 | + | 0.328269i | ||||
\(10\) | −0.758792 | + | 0.636702i | −0.239951 | + | 0.201343i | ||||
\(11\) | 2.52196 | + | 4.36816i | 0.760399 | + | 1.31705i | 0.942645 | + | 0.333797i | \(0.108330\pi\) |
−0.182246 | + | 0.983253i | \(0.558337\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | 1.12356 | + | 6.37203i | 0.311619 | + | 1.76728i | 0.590580 | + | 0.806979i | \(0.298899\pi\) |
−0.278960 | + | 0.960303i | \(0.589990\pi\) | |||||||
\(14\) | −0.222260 | + | 2.63640i | −0.0594014 | + | 0.704607i | ||||
\(15\) | −0.758792 | + | 0.636702i | −0.195919 | + | 0.164396i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −0.721582 | + | 4.09229i | −0.175009 | + | 0.992527i | 0.763124 | + | 0.646252i | \(0.223665\pi\) |
−0.938133 | + | 0.346275i | \(0.887446\pi\) | |||||||
\(18\) | 0.500000 | − | 0.866025i | 0.117851 | − | 0.204124i | ||||
\(19\) | −2.32305 | − | 3.68829i | −0.532943 | − | 0.846151i | ||||
\(20\) | 0.990533 | 0.221490 | ||||||||
\(21\) | −0.222260 | + | 2.63640i | −0.0485011 | + | 0.575309i | ||||
\(22\) | 0.875867 | − | 4.96729i | 0.186735 | − | 1.05903i | ||||
\(23\) | −5.01027 | − | 1.82359i | −1.04471 | − | 0.380244i | −0.238048 | − | 0.971253i | \(-0.576507\pi\) |
−0.806665 | + | 0.591009i | \(0.798730\pi\) | |||||||
\(24\) | −0.939693 | + | 0.342020i | −0.191814 | + | 0.0698146i | ||||
\(25\) | 3.77648 | + | 1.37453i | 0.755296 | + | 0.274905i | ||||
\(26\) | 3.23516 | − | 5.60346i | 0.634467 | − | 1.09893i | ||||
\(27\) | 0.500000 | − | 0.866025i | 0.0962250 | − | 0.166667i | ||||
\(28\) | 1.86491 | − | 1.87673i | 0.352434 | − | 0.354669i | ||||
\(29\) | −5.06217 | − | 1.84248i | −0.940021 | − | 0.342140i | −0.173847 | − | 0.984773i | \(-0.555620\pi\) |
−0.766174 | + | 0.642633i | \(0.777842\pi\) | |||||||
\(30\) | 0.990533 | 0.180846 | ||||||||
\(31\) | 10.7274 | 1.92670 | 0.963351 | − | 0.268245i | \(-0.0864437\pi\) | ||||
0.963351 | + | 0.268245i | \(0.0864437\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | 0.875867 | − | 4.96729i | 0.152469 | − | 0.864694i | ||||
\(34\) | 3.18324 | − | 2.67106i | 0.545921 | − | 0.458082i | ||||
\(35\) | −2.37165 | + | 1.11506i | −0.400882 | + | 0.188479i | ||||
\(36\) | −0.939693 | + | 0.342020i | −0.156615 | + | 0.0570034i | ||||
\(37\) | 4.25963 | + | 7.37789i | 0.700279 | + | 1.21292i | 0.968369 | + | 0.249524i | \(0.0802742\pi\) |
−0.268090 | + | 0.963394i | \(0.586392\pi\) | |||||||
\(38\) | −0.591228 | + | 4.31862i | −0.0959098 | + | 0.700572i | ||||
\(39\) | 3.23516 | − | 5.60346i | 0.518041 | − | 0.897272i | ||||
\(40\) | −0.758792 | − | 0.636702i | −0.119976 | − | 0.100671i | ||||
\(41\) | 1.68326 | − | 9.54625i | 0.262881 | − | 1.49087i | −0.512119 | − | 0.858914i | \(-0.671140\pi\) |
0.775001 | − | 0.631960i | \(-0.217749\pi\) | |||||||
\(42\) | 1.86491 | − | 1.87673i | 0.287761 | − | 0.289586i | ||||
\(43\) | 5.66452 | + | 4.75310i | 0.863832 | + | 0.724841i | 0.962790 | − | 0.270251i | \(-0.0871065\pi\) |
−0.0989581 | + | 0.995092i | \(0.531551\pi\) | |||||||
\(44\) | −3.86386 | + | 3.24217i | −0.582499 | + | 0.488775i | ||||
\(45\) | 0.990533 | 0.147660 | ||||||||
\(46\) | 2.66591 | + | 4.61749i | 0.393067 | + | 0.680811i | ||||
\(47\) | 0.195247 | + | 1.10730i | 0.0284797 | + | 0.161516i | 0.995731 | − | 0.0923052i | \(-0.0294235\pi\) |
−0.967251 | + | 0.253821i | \(0.918312\pi\) | |||||||
\(48\) | 0.939693 | + | 0.342020i | 0.135633 | + | 0.0493664i | ||||
\(49\) | −2.35251 | + | 6.59285i | −0.336073 | + | 0.941836i | ||||
\(50\) | −2.00942 | − | 3.48042i | −0.284175 | − | 0.492206i | ||||
\(51\) | 3.18324 | − | 2.67106i | 0.445743 | − | 0.374023i | ||||
\(52\) | −6.08012 | + | 2.21298i | −0.843160 | + | 0.306885i | ||||
\(53\) | 1.39384 | + | 7.90487i | 0.191459 | + | 1.08582i | 0.917372 | + | 0.398031i | \(0.130306\pi\) |
−0.725913 | + | 0.687786i | \(0.758583\pi\) | |||||||
\(54\) | −0.939693 | + | 0.342020i | −0.127876 | + | 0.0465430i | ||||
\(55\) | 4.69486 | − | 1.70879i | 0.633055 | − | 0.230413i | ||||
\(56\) | −2.63494 | + | 0.238923i | −0.352109 | + | 0.0319274i | ||||
\(57\) | −0.591228 | + | 4.31862i | −0.0783100 | + | 0.572015i | ||||
\(58\) | 2.69352 | + | 4.66532i | 0.353677 | + | 0.612587i | ||||
\(59\) | −0.363360 | + | 2.06072i | −0.0473054 | + | 0.268283i | −0.999282 | − | 0.0378885i | \(-0.987937\pi\) |
0.951977 | + | 0.306171i | \(0.0990479\pi\) | |||||||
\(60\) | −0.758792 | − | 0.636702i | −0.0979596 | − | 0.0821979i | ||||
\(61\) | 4.64392 | + | 1.69025i | 0.594593 | + | 0.216414i | 0.621748 | − | 0.783217i | \(-0.286423\pi\) |
−0.0271553 | + | 0.999631i | \(0.508645\pi\) | |||||||
\(62\) | −8.21768 | − | 6.89545i | −1.04365 | − | 0.875723i | ||||
\(63\) | 1.86491 | − | 1.87673i | 0.234956 | − | 0.236446i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 6.40907 | 0.794947 | ||||||||
\(66\) | −3.86386 | + | 3.24217i | −0.475609 | + | 0.399083i | ||||
\(67\) | −1.01708 | + | 0.853433i | −0.124256 | + | 0.104263i | −0.702798 | − | 0.711389i | \(-0.748066\pi\) |
0.578542 | + | 0.815653i | \(0.303622\pi\) | |||||||
\(68\) | −4.15542 | −0.503919 | ||||||||
\(69\) | 2.66591 | + | 4.61749i | 0.320937 | + | 0.555880i | ||||
\(70\) | 2.53354 | + | 0.670283i | 0.302816 | + | 0.0801141i | ||||
\(71\) | 5.55081 | + | 4.65768i | 0.658760 | + | 0.552765i | 0.909715 | − | 0.415234i | \(-0.136300\pi\) |
−0.250955 | + | 0.967999i | \(0.580745\pi\) | |||||||
\(72\) | 0.939693 | + | 0.342020i | 0.110744 | + | 0.0403075i | ||||
\(73\) | −5.98793 | − | 5.02447i | −0.700834 | − | 0.588070i | 0.221177 | − | 0.975234i | \(-0.429010\pi\) |
−0.922011 | + | 0.387164i | \(0.873455\pi\) | |||||||
\(74\) | 1.47935 | − | 8.38983i | 0.171971 | − | 0.975298i | ||||
\(75\) | −2.00942 | − | 3.48042i | −0.232028 | − | 0.401884i | ||||
\(76\) | 3.22886 | − | 2.92822i | 0.370376 | − | 0.335890i | ||||
\(77\) | 5.60156 | − | 12.1124i | 0.638357 | − | 1.38034i | ||||
\(78\) | −6.08012 | + | 2.21298i | −0.688438 | + | 0.250571i | ||||
\(79\) | 11.2992 | − | 4.11256i | 1.27125 | − | 0.462699i | 0.383724 | − | 0.923448i | \(-0.374641\pi\) |
0.887531 | + | 0.460749i | \(0.152419\pi\) | |||||||
\(80\) | 0.172004 | + | 0.975484i | 0.0192307 | + | 0.109062i | ||||
\(81\) | −0.939693 | + | 0.342020i | −0.104410 | + | 0.0380022i | ||||
\(82\) | −7.42567 | + | 6.23087i | −0.820028 | + | 0.688085i | ||||
\(83\) | 3.13714 | + | 5.43368i | 0.344346 | + | 0.596424i | 0.985235 | − | 0.171209i | \(-0.0547675\pi\) |
−0.640889 | + | 0.767633i | \(0.721434\pi\) | |||||||
\(84\) | −2.63494 | + | 0.238923i | −0.287496 | + | 0.0260686i | ||||
\(85\) | 3.86785 | + | 1.40778i | 0.419528 | + | 0.152696i | ||||
\(86\) | −1.28404 | − | 7.28217i | −0.138462 | − | 0.785257i | ||||
\(87\) | 2.69352 | + | 4.66532i | 0.288776 | + | 0.500175i | ||||
\(88\) | 5.04392 | 0.537683 | ||||||||
\(89\) | 1.67953 | − | 1.40929i | 0.178029 | − | 0.149384i | −0.549419 | − | 0.835547i | \(-0.685151\pi\) |
0.727448 | + | 0.686163i | \(0.240706\pi\) | |||||||
\(90\) | −0.758792 | − | 0.636702i | −0.0799837 | − | 0.0671143i | ||||
\(91\) | 12.0665 | − | 12.1431i | 1.26492 | − | 1.27294i | ||||
\(92\) | 0.925860 | − | 5.25081i | 0.0965276 | − | 0.547435i | ||||
\(93\) | −8.21768 | − | 6.89545i | −0.852134 | − | 0.715025i | ||||
\(94\) | 0.562191 | − | 0.973743i | 0.0579856 | − | 0.100434i | ||||
\(95\) | −3.99744 | + | 1.63170i | −0.410129 | + | 0.167408i | ||||
\(96\) | −0.500000 | − | 0.866025i | −0.0510310 | − | 0.0883883i | ||||
\(97\) | 0.0777896 | − | 0.0283131i | 0.00789834 | − | 0.00287476i | −0.338068 | − | 0.941122i | \(-0.609773\pi\) |
0.345966 | + | 0.938247i | \(0.387551\pi\) | |||||||
\(98\) | 6.03993 | − | 3.53826i | 0.610125 | − | 0.357418i | ||||
\(99\) | −3.86386 | + | 3.24217i | −0.388333 | + | 0.325850i | ||||
\(100\) | −0.697865 | + | 3.95779i | −0.0697865 | + | 0.395779i | ||||
\(101\) | −1.55534 | − | 0.566097i | −0.154762 | − | 0.0563287i | 0.263478 | − | 0.964666i | \(-0.415130\pi\) |
−0.418239 | + | 0.908337i | \(0.637353\pi\) | |||||||
\(102\) | −4.15542 | −0.411448 | ||||||||
\(103\) | 1.16307 | 0.114600 | 0.0573002 | − | 0.998357i | \(-0.481751\pi\) | ||||
0.0573002 | + | 0.998357i | \(0.481751\pi\) | |||||||
\(104\) | 6.08012 | + | 2.21298i | 0.596204 | + | 0.217001i | ||||
\(105\) | 2.53354 | + | 0.670283i | 0.247248 | + | 0.0654129i | ||||
\(106\) | 4.01341 | − | 6.95142i | 0.389816 | − | 0.675182i | ||||
\(107\) | −0.191144 | + | 0.331071i | −0.0184786 | + | 0.0320059i | −0.875117 | − | 0.483912i | \(-0.839216\pi\) |
0.856638 | + | 0.515918i | \(0.172549\pi\) | |||||||
\(108\) | 0.939693 | + | 0.342020i | 0.0904220 | + | 0.0329109i | ||||
\(109\) | 0.893987 | − | 0.325385i | 0.0856284 | − | 0.0311662i | −0.298851 | − | 0.954300i | \(-0.596603\pi\) |
0.384479 | + | 0.923134i | \(0.374381\pi\) | |||||||
\(110\) | −4.69486 | − | 1.70879i | −0.447637 | − | 0.162927i | ||||
\(111\) | 1.47935 | − | 8.38983i | 0.140414 | − | 0.796327i | ||||
\(112\) | 2.17206 | + | 1.51068i | 0.205240 | + | 0.142746i | ||||
\(113\) | −17.7699 | −1.67165 | −0.835827 | − | 0.548993i | \(-0.815011\pi\) | ||||
−0.835827 | + | 0.548993i | \(0.815011\pi\) | |||||||
\(114\) | 3.22886 | − | 2.92822i | 0.302410 | − | 0.274253i | ||||
\(115\) | −2.64067 | + | 4.57377i | −0.246244 | + | 0.426506i | ||||
\(116\) | 0.935451 | − | 5.30521i | 0.0868545 | − | 0.492576i | ||||
\(117\) | −6.08012 | + | 2.21298i | −0.562107 | + | 0.204590i | ||||
\(118\) | 1.60295 | − | 1.34504i | 0.147564 | − | 0.123821i | ||||
\(119\) | 9.94941 | − | 4.67783i | 0.912061 | − | 0.428816i | ||||
\(120\) | 0.172004 | + | 0.975484i | 0.0157018 | + | 0.0890491i | ||||
\(121\) | −7.22055 | + | 12.5064i | −0.656414 | + | 1.13694i | ||||
\(122\) | −2.47098 | − | 4.27986i | −0.223712 | − | 0.387480i | ||||
\(123\) | −7.42567 | + | 6.23087i | −0.669550 | + | 0.561819i | ||||
\(124\) | 1.86280 | + | 10.5644i | 0.167284 | + | 0.948715i | ||||
\(125\) | 4.46673 | − | 7.73660i | 0.399517 | − | 0.691983i | ||||
\(126\) | −2.63494 | + | 0.238923i | −0.234739 | + | 0.0212849i | ||||
\(127\) | 0.520545 | + | 2.95216i | 0.0461909 | + | 0.261962i | 0.999154 | − | 0.0411245i | \(-0.0130940\pi\) |
−0.952963 | + | 0.303086i | \(0.901983\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | −1.28404 | − | 7.28217i | −0.113054 | − | 0.641160i | ||||
\(130\) | −4.90963 | − | 4.11967i | −0.430603 | − | 0.361319i | ||||
\(131\) | −8.42486 | − | 7.06930i | −0.736084 | − | 0.617648i | 0.195699 | − | 0.980664i | \(-0.437302\pi\) |
−0.931783 | + | 0.363016i | \(0.881747\pi\) | |||||||
\(132\) | 5.04392 | 0.439017 | ||||||||
\(133\) | −4.43457 | + | 10.6459i | −0.384526 | + | 0.923114i | ||||
\(134\) | 1.32771 | 0.114696 | ||||||||
\(135\) | −0.758792 | − | 0.636702i | −0.0653064 | − | 0.0547986i | ||||
\(136\) | 3.18324 | + | 2.67106i | 0.272961 | + | 0.229041i | ||||
\(137\) | 3.87695 | + | 21.9873i | 0.331231 | + | 1.87850i | 0.461680 | + | 0.887047i | \(0.347247\pi\) |
−0.130449 | + | 0.991455i | \(0.541642\pi\) | |||||||
\(138\) | 0.925860 | − | 5.25081i | 0.0788144 | − | 0.446979i | ||||
\(139\) | −1.47667 | − | 8.37464i | −0.125250 | − | 0.710328i | −0.981159 | − | 0.193201i | \(-0.938113\pi\) |
0.855909 | − | 0.517126i | \(-0.172998\pi\) | |||||||
\(140\) | −1.50995 | − | 2.14199i | −0.127614 | − | 0.181031i | ||||
\(141\) | 0.562191 | − | 0.973743i | 0.0473450 | − | 0.0820040i | ||||
\(142\) | −1.25827 | − | 7.13598i | −0.105591 | − | 0.598838i | ||||
\(143\) | −25.0005 | + | 20.9779i | −2.09064 | + | 1.75426i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −2.66802 | + | 4.62115i | −0.221567 | + | 0.383766i | ||||
\(146\) | 1.35735 | + | 7.69793i | 0.112335 | + | 0.637085i | ||||
\(147\) | 6.03993 | − | 3.53826i | 0.498165 | − | 0.291830i | ||||
\(148\) | −6.52613 | + | 5.47607i | −0.536445 | + | 0.450130i | ||||
\(149\) | −6.46847 | + | 2.35433i | −0.529918 | + | 0.192874i | −0.593102 | − | 0.805128i | \(-0.702097\pi\) |
0.0631837 | + | 0.998002i | \(0.479875\pi\) | |||||||
\(150\) | −0.697865 | + | 3.95779i | −0.0569804 | + | 0.323152i | ||||
\(151\) | 4.23448 | − | 7.33433i | 0.344597 | − | 0.596859i | −0.640684 | − | 0.767805i | \(-0.721349\pi\) |
0.985280 | + | 0.170946i | \(0.0546823\pi\) | |||||||
\(152\) | −4.35567 | + | 0.167674i | −0.353292 | + | 0.0136002i | ||||
\(153\) | −4.15542 | −0.335946 | ||||||||
\(154\) | −12.0767 | + | 5.67802i | −0.973172 | + | 0.457548i | ||||
\(155\) | 1.84516 | − | 10.4644i | 0.148207 | − | 0.840523i | ||||
\(156\) | 6.08012 | + | 2.21298i | 0.486799 | + | 0.177180i | ||||
\(157\) | −9.33805 | + | 3.39877i | −0.745258 | + | 0.271252i | −0.686609 | − | 0.727027i | \(-0.740901\pi\) |
−0.0586488 | + | 0.998279i | \(0.518679\pi\) | |||||||
\(158\) | −11.2992 | − | 4.11256i | −0.898913 | − | 0.327178i | ||||
\(159\) | 4.01341 | − | 6.95142i | 0.318284 | − | 0.551284i | ||||
\(160\) | 0.495266 | − | 0.857827i | 0.0391542 | − | 0.0678171i | ||||
\(161\) | 3.69412 | + | 13.6144i | 0.291138 | + | 1.07296i | ||||
\(162\) | 0.939693 | + | 0.342020i | 0.0738292 | + | 0.0268716i | ||||
\(163\) | −19.0152 | −1.48939 | −0.744694 | − | 0.667406i | \(-0.767404\pi\) | ||||
−0.744694 | + | 0.667406i | \(0.767404\pi\) | |||||||
\(164\) | 9.69352 | 0.756937 | ||||||||
\(165\) | −4.69486 | − | 1.70879i | −0.365494 | − | 0.133029i | ||||
\(166\) | 1.08952 | − | 6.17895i | 0.0845629 | − | 0.479580i | ||||
\(167\) | 7.68799 | − | 6.45099i | 0.594915 | − | 0.499193i | −0.294892 | − | 0.955531i | \(-0.595284\pi\) |
0.889807 | + | 0.456338i | \(0.150839\pi\) | |||||||
\(168\) | 2.17206 | + | 1.51068i | 0.167578 | + | 0.116552i | ||||
\(169\) | −27.1243 | + | 9.87244i | −2.08649 | + | 0.759419i | ||||
\(170\) | −2.05804 | − | 3.56463i | −0.157845 | − | 0.273395i | ||||
\(171\) | 3.22886 | − | 2.92822i | 0.246917 | − | 0.223926i | ||||
\(172\) | −3.69726 | + | 6.40383i | −0.281913 | + | 0.488288i | ||||
\(173\) | −4.33867 | − | 3.64058i | −0.329863 | − | 0.276788i | 0.462781 | − | 0.886473i | \(-0.346852\pi\) |
−0.792644 | + | 0.609685i | \(0.791296\pi\) | |||||||
\(174\) | 0.935451 | − | 5.30521i | 0.0709164 | − | 0.402187i | ||||
\(175\) | −2.78444 | − | 10.2618i | −0.210484 | − | 0.775720i | ||||
\(176\) | −3.86386 | − | 3.24217i | −0.291250 | − | 0.244388i | ||||
\(177\) | 1.60295 | − | 1.34504i | 0.120485 | − | 0.101099i | ||||
\(178\) | −2.19246 | −0.164332 | ||||||||
\(179\) | 0.543291 | + | 0.941008i | 0.0406075 | + | 0.0703343i | 0.885615 | − | 0.464420i | \(-0.153737\pi\) |
−0.845007 | + | 0.534755i | \(0.820404\pi\) | |||||||
\(180\) | 0.172004 | + | 0.975484i | 0.0128204 | + | 0.0727083i | ||||
\(181\) | 23.9527 | + | 8.71807i | 1.78039 | + | 0.648009i | 0.999734 | + | 0.0230469i | \(0.00733672\pi\) |
0.780655 | + | 0.624962i | \(0.214886\pi\) | |||||||
\(182\) | −17.0489 | + | 1.54591i | −1.26375 | + | 0.114590i | ||||
\(183\) | −2.47098 | − | 4.27986i | −0.182660 | − | 0.316376i | ||||
\(184\) | −4.08441 | + | 3.42722i | −0.301106 | + | 0.252658i | ||||
\(185\) | 7.92969 | − | 2.88617i | 0.583003 | − | 0.212196i | ||||
\(186\) | 1.86280 | + | 10.5644i | 0.136587 | + | 0.774623i | ||||
\(187\) | −19.6956 | + | 7.16861i | −1.44028 | + | 0.524221i | ||||
\(188\) | −1.05657 | + | 0.384561i | −0.0770585 | + | 0.0280470i | ||||
\(189\) | −2.63494 | + | 0.238923i | −0.191664 | + | 0.0173791i | ||||
\(190\) | 4.11105 | + | 1.31955i | 0.298247 | + | 0.0957305i | ||||
\(191\) | −4.71000 | − | 8.15797i | −0.340804 | − | 0.590290i | 0.643778 | − | 0.765212i | \(-0.277366\pi\) |
−0.984582 | + | 0.174922i | \(0.944033\pi\) | |||||||
\(192\) | −0.173648 | + | 0.984808i | −0.0125320 | + | 0.0710724i | ||||
\(193\) | 12.3512 | + | 10.3639i | 0.889061 | + | 0.746011i | 0.968022 | − | 0.250867i | \(-0.0807156\pi\) |
−0.0789604 | + | 0.996878i | \(0.525160\pi\) | |||||||
\(194\) | −0.0777896 | − | 0.0283131i | −0.00558497 | − | 0.00203276i | ||||
\(195\) | −4.90963 | − | 4.11967i | −0.351586 | − | 0.295016i | ||||
\(196\) | −6.90120 | − | 1.17193i | −0.492943 | − | 0.0837093i | ||||
\(197\) | 11.9800 | + | 20.7500i | 0.853542 | + | 1.47838i | 0.877991 | + | 0.478677i | \(0.158883\pi\) |
−0.0244492 | + | 0.999701i | \(0.507783\pi\) | |||||||
\(198\) | 5.04392 | 0.358456 | ||||||||
\(199\) | −6.15908 | + | 5.16808i | −0.436605 | + | 0.366355i | −0.834437 | − | 0.551103i | \(-0.814207\pi\) |
0.397832 | + | 0.917458i | \(0.369763\pi\) | |||||||
\(200\) | 3.07861 | − | 2.58326i | 0.217691 | − | 0.182664i | ||||
\(201\) | 1.32771 | 0.0936491 | ||||||||
\(202\) | 0.827578 | + | 1.43341i | 0.0582282 | + | 0.100854i | ||||
\(203\) | 3.73239 | + | 13.7554i | 0.261963 | + | 0.965441i | ||||
\(204\) | 3.18324 | + | 2.67106i | 0.222871 | + | 0.187011i | ||||
\(205\) | −9.02269 | − | 3.28399i | −0.630172 | − | 0.229364i | ||||
\(206\) | −0.890961 | − | 0.747605i | −0.0620762 | − | 0.0520881i | ||||
\(207\) | 0.925860 | − | 5.25081i | 0.0643517 | − | 0.364957i | ||||
\(208\) | −3.23516 | − | 5.60346i | −0.224318 | − | 0.388530i | ||||
\(209\) | 10.2524 | − | 19.4491i | 0.709173 | − | 1.34533i | ||||
\(210\) | −1.50995 | − | 2.14199i | −0.104197 | − | 0.147812i | ||||
\(211\) | 6.80273 | − | 2.47599i | 0.468319 | − | 0.170454i | −0.0970715 | − | 0.995277i | \(-0.530948\pi\) |
0.565391 | + | 0.824823i | \(0.308725\pi\) | |||||||
\(212\) | −7.54274 | + | 2.74533i | −0.518037 | + | 0.188550i | ||||
\(213\) | −1.25827 | − | 7.13598i | −0.0862150 | − | 0.488949i | ||||
\(214\) | 0.359233 | − | 0.130750i | 0.0245567 | − | 0.00893790i | ||||
\(215\) | 5.61090 | − | 4.70810i | 0.382660 | − | 0.321090i | ||||
\(216\) | −0.500000 | − | 0.866025i | −0.0340207 | − | 0.0589256i | ||||
\(217\) | −16.3527 | − | 23.1977i | −1.11009 | − | 1.57476i | ||||
\(218\) | −0.893987 | − | 0.325385i | −0.0605484 | − | 0.0220378i | ||||
\(219\) | 1.35735 | + | 7.69793i | 0.0917214 | + | 0.520178i | ||||
\(220\) | 2.49808 | + | 4.32681i | 0.168421 | + | 0.291713i | ||||
\(221\) | −26.8869 | −1.80861 | ||||||||
\(222\) | −6.52613 | + | 5.47607i | −0.438005 | + | 0.367530i | ||||
\(223\) | 6.32830 | + | 5.31007i | 0.423774 | + | 0.355589i | 0.829597 | − | 0.558363i | \(-0.188570\pi\) |
−0.405822 | + | 0.913952i | \(0.633015\pi\) | |||||||
\(224\) | −0.692846 | − | 2.55342i | −0.0462927 | − | 0.170608i | ||||
\(225\) | −0.697865 | + | 3.95779i | −0.0465243 | + | 0.263853i | ||||
\(226\) | 13.6126 | + | 11.4223i | 0.905494 | + | 0.759799i | ||||
\(227\) | 13.8783 | − | 24.0380i | 0.921137 | − | 1.59546i | 0.123478 | − | 0.992347i | \(-0.460595\pi\) |
0.797659 | − | 0.603108i | \(-0.206071\pi\) | |||||||
\(228\) | −4.35567 | + | 0.167674i | −0.288461 | + | 0.0111045i | ||||
\(229\) | 6.07874 | + | 10.5287i | 0.401695 | + | 0.695756i | 0.993931 | − | 0.110009i | \(-0.0350880\pi\) |
−0.592236 | + | 0.805765i | \(0.701755\pi\) | |||||||
\(230\) | 4.96283 | − | 1.80632i | 0.327240 | − | 0.119105i | ||||
\(231\) | −12.0767 | + | 5.67802i | −0.794591 | + | 0.373586i | ||||
\(232\) | −4.12672 | + | 3.46273i | −0.270932 | + | 0.227339i | ||||
\(233\) | −2.04059 | + | 11.5727i | −0.133683 | + | 0.758156i | 0.842084 | + | 0.539346i | \(0.181328\pi\) |
−0.975768 | + | 0.218810i | \(0.929783\pi\) | |||||||
\(234\) | 6.08012 | + | 2.21298i | 0.397470 | + | 0.144667i | ||||
\(235\) | 1.11374 | 0.0726522 | ||||||||
\(236\) | −2.09251 | −0.136211 | ||||||||
\(237\) | −11.2992 | − | 4.11256i | −0.733959 | − | 0.267139i | ||||
\(238\) | −10.6285 | − | 2.81193i | −0.688946 | − | 0.182270i | ||||
\(239\) | −4.17783 | + | 7.23622i | −0.270242 | + | 0.468072i | −0.968924 | − | 0.247360i | \(-0.920437\pi\) |
0.698682 | + | 0.715432i | \(0.253770\pi\) | |||||||
\(240\) | 0.495266 | − | 0.857827i | 0.0319693 | − | 0.0553725i | ||||
\(241\) | 0.658781 | + | 0.239777i | 0.0424358 | + | 0.0154454i | 0.363151 | − | 0.931730i | \(-0.381701\pi\) |
−0.320715 | + | 0.947176i | \(0.603923\pi\) | |||||||
\(242\) | 13.5702 | − | 4.93915i | 0.872325 | − | 0.317500i | ||||
\(243\) | 0.939693 | + | 0.342020i | 0.0602813 | + | 0.0219406i | ||||
\(244\) | −0.858162 | + | 4.86688i | −0.0549382 | + | 0.311570i | ||||
\(245\) | 6.02658 | + | 3.42883i | 0.385024 | + | 0.219060i | ||||
\(246\) | 9.69352 | 0.618036 | ||||||||
\(247\) | 20.8918 | − | 18.9465i | 1.32931 | − | 1.20554i | ||||
\(248\) | 5.36371 | − | 9.29022i | 0.340596 | − | 0.589929i | ||||
\(249\) | 1.08952 | − | 6.17895i | 0.0690453 | − | 0.391575i | ||||
\(250\) | −8.39471 | + | 3.05542i | −0.530928 | + | 0.193242i | ||||
\(251\) | −18.7179 | + | 15.7062i | −1.18146 | + | 0.991365i | −0.181495 | + | 0.983392i | \(0.558094\pi\) |
−0.999968 | + | 0.00797351i | \(0.997462\pi\) | |||||||
\(252\) | 2.17206 | + | 1.51068i | 0.136827 | + | 0.0951640i | ||||
\(253\) | −4.66996 | − | 26.4847i | −0.293598 | − | 1.66508i | ||||
\(254\) | 1.49885 | − | 2.59609i | 0.0940463 | − | 0.162893i | ||||
\(255\) | −2.05804 | − | 3.56463i | −0.128880 | − | 0.223226i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 1.65402 | + | 9.38041i | 0.103175 | + | 0.585134i | 0.991934 | + | 0.126758i | \(0.0404573\pi\) |
−0.888759 | + | 0.458375i | \(0.848432\pi\) | |||||||
\(258\) | −3.69726 | + | 6.40383i | −0.230181 | + | 0.398685i | ||||
\(259\) | 9.46112 | − | 20.4580i | 0.587886 | − | 1.27120i | ||||
\(260\) | 1.11292 | + | 6.31170i | 0.0690206 | + | 0.391435i | ||||
\(261\) | 0.935451 | − | 5.30521i | 0.0579030 | − | 0.328384i | ||||
\(262\) | 1.90976 | + | 10.8308i | 0.117985 | + | 0.669129i | ||||
\(263\) | 1.23371 | + | 1.03521i | 0.0760741 | + | 0.0638337i | 0.680032 | − | 0.733183i | \(-0.261966\pi\) |
−0.603958 | + | 0.797016i | \(0.706410\pi\) | |||||||
\(264\) | −3.86386 | − | 3.24217i | −0.237804 | − | 0.199542i | ||||
\(265\) | 7.95082 | 0.488415 | ||||||||
\(266\) | 10.2401 | − | 5.30472i | 0.627862 | − | 0.325253i | ||||
\(267\) | −2.19246 | −0.134177 | ||||||||
\(268\) | −1.01708 | − | 0.853433i | −0.0621281 | − | 0.0521317i | ||||
\(269\) | −7.96515 | − | 6.68356i | −0.485644 | − | 0.407504i | 0.366818 | − | 0.930293i | \(-0.380447\pi\) |
−0.852462 | + | 0.522789i | \(0.824892\pi\) | |||||||
\(270\) | 0.172004 | + | 0.975484i | 0.0104678 | + | 0.0593661i | ||||
\(271\) | 0.768520 | − | 4.35849i | 0.0466842 | − | 0.264759i | −0.952528 | − | 0.304452i | \(-0.901527\pi\) |
0.999212 | + | 0.0396924i | \(0.0126378\pi\) | |||||||
\(272\) | −0.721582 | − | 4.09229i | −0.0437523 | − | 0.248132i | ||||
\(273\) | −17.0489 | + | 1.54591i | −1.03185 | + | 0.0935626i | ||||
\(274\) | 11.1632 | − | 19.3353i | 0.674396 | − | 1.16809i | ||||
\(275\) | 3.51997 | + | 19.9628i | 0.212262 | + | 1.20380i | ||||
\(276\) | −4.08441 | + | 3.42722i | −0.245852 | + | 0.206295i | ||||
\(277\) | 4.96505 | + | 8.59971i | 0.298321 | + | 0.516707i | 0.975752 | − | 0.218879i | \(-0.0702402\pi\) |
−0.677431 | + | 0.735586i | \(0.736907\pi\) | |||||||
\(278\) | −4.25192 | + | 7.36453i | −0.255013 | + | 0.441695i | ||||
\(279\) | 1.86280 | + | 10.5644i | 0.111523 | + | 0.632477i | ||||
\(280\) | −0.220156 | + | 2.61144i | −0.0131568 | + | 0.156063i | ||||
\(281\) | −23.2006 | + | 19.4676i | −1.38403 | + | 1.16134i | −0.416342 | + | 0.909208i | \(0.636688\pi\) |
−0.967692 | + | 0.252135i | \(0.918867\pi\) | |||||||
\(282\) | −1.05657 | + | 0.384561i | −0.0629180 | + | 0.0229003i | ||||
\(283\) | −3.09343 | + | 17.5437i | −0.183886 | + | 1.04287i | 0.743493 | + | 0.668743i | \(0.233167\pi\) |
−0.927379 | + | 0.374123i | \(0.877944\pi\) | |||||||
\(284\) | −3.62303 | + | 6.27528i | −0.214987 | + | 0.372369i | ||||
\(285\) | 4.11105 | + | 1.31955i | 0.243518 | + | 0.0781636i | ||||
\(286\) | 32.6358 | 1.92979 | ||||||||
\(287\) | −23.2094 | + | 10.9122i | −1.37001 | + | 0.644124i | ||||
\(288\) | −0.173648 | + | 0.984808i | −0.0102323 | + | 0.0580304i | ||||
\(289\) | −0.251418 | − | 0.0915087i | −0.0147893 | − | 0.00538286i | ||||
\(290\) | 5.01425 | − | 1.82504i | 0.294447 | − | 0.107170i | ||||
\(291\) | −0.0777896 | − | 0.0283131i | −0.00456011 | − | 0.00165974i | ||||
\(292\) | 3.90834 | − | 6.76945i | 0.228718 | − | 0.396152i | ||||
\(293\) | 14.1976 | − | 24.5910i | 0.829433 | − | 1.43662i | −0.0690507 | − | 0.997613i | \(-0.521997\pi\) |
0.898484 | − | 0.439007i | \(-0.144670\pi\) | |||||||
\(294\) | −6.90120 | − | 1.17193i | −0.402486 | − | 0.0683484i | ||||
\(295\) | 1.94770 | + | 0.708904i | 0.113399 | + | 0.0412740i | ||||
\(296\) | 8.51926 | 0.495172 | ||||||||
\(297\) | 5.04392 | 0.292678 | ||||||||
\(298\) | 6.46847 | + | 2.35433i | 0.374709 | + | 0.136383i | ||||
\(299\) | 5.99061 | − | 33.9745i | 0.346446 | − | 1.96479i | ||||
\(300\) | 3.07861 | − | 2.58326i | 0.177744 | − | 0.149145i | ||||
\(301\) | 1.64350 | − | 19.4949i | 0.0947299 | − | 1.12367i | ||||
\(302\) | −7.95821 | + | 2.89655i | −0.457944 | + | 0.166678i | ||||
\(303\) | 0.827578 | + | 1.43341i | 0.0475431 | + | 0.0823471i | ||||
\(304\) | 3.44442 | + | 2.67133i | 0.197551 | + | 0.153211i | ||||
\(305\) | 2.44759 | − | 4.23934i | 0.140148 | − | 0.242744i | ||||
\(306\) | 3.18324 | + | 2.67106i | 0.181974 | + | 0.152694i | ||||
\(307\) | −3.55013 | + | 20.1338i | −0.202617 | + | 1.14910i | 0.698530 | + | 0.715581i | \(0.253838\pi\) |
−0.901146 | + | 0.433515i | \(0.857273\pi\) | |||||||
\(308\) | 12.9011 | + | 3.41316i | 0.735108 | + | 0.194483i | ||||
\(309\) | −0.890961 | − | 0.747605i | −0.0506850 | − | 0.0425298i | ||||
\(310\) | −8.13988 | + | 6.83017i | −0.462314 | + | 0.387928i | ||||
\(311\) | 2.77528 | 0.157372 | 0.0786859 | − | 0.996899i | \(-0.474928\pi\) | ||||
0.0786859 | + | 0.996899i | \(0.474928\pi\) | |||||||
\(312\) | −3.23516 | − | 5.60346i | −0.183155 | − | 0.317234i | ||||
\(313\) | −6.10741 | − | 34.6369i | −0.345211 | − | 1.95779i | −0.280353 | − | 0.959897i | \(-0.590451\pi\) |
−0.0648587 | − | 0.997894i | \(-0.520660\pi\) | |||||||
\(314\) | 9.33805 | + | 3.39877i | 0.526977 | + | 0.191804i | ||||
\(315\) | −1.50995 | − | 2.14199i | −0.0850762 | − | 0.120688i | ||||
\(316\) | 6.01216 | + | 10.4134i | 0.338210 | + | 0.585797i | ||||
\(317\) | 5.17997 | − | 4.34651i | 0.290936 | − | 0.244124i | −0.485624 | − | 0.874168i | \(-0.661407\pi\) |
0.776560 | + | 0.630044i | \(0.216963\pi\) | |||||||
\(318\) | −7.54274 | + | 2.74533i | −0.422976 | + | 0.153951i | ||||
\(319\) | −4.71834 | − | 26.7590i | −0.264176 | − | 1.49822i | ||||
\(320\) | −0.930796 | + | 0.338782i | −0.0520331 | + | 0.0189385i | ||||
\(321\) | 0.359233 | − | 0.130750i | 0.0200504 | − | 0.00729777i | ||||
\(322\) | 5.92129 | − | 12.8038i | 0.329980 | − | 0.713525i | ||||
\(323\) | 16.7698 | − | 6.84519i | 0.933098 | − | 0.380877i | ||||
\(324\) | −0.500000 | − | 0.866025i | −0.0277778 | − | 0.0481125i | ||||
\(325\) | −4.51541 | + | 25.6082i | −0.250470 | + | 1.42049i | ||||
\(326\) | 14.5665 | + | 12.2228i | 0.806764 | + | 0.676956i | ||||
\(327\) | −0.893987 | − | 0.325385i | −0.0494376 | − | 0.0179938i | ||||
\(328\) | −7.42567 | − | 6.23087i | −0.410014 | − | 0.344042i | ||||
\(329\) | 2.09687 | − | 2.11016i | 0.115604 | − | 0.116337i | ||||
\(330\) | 2.49808 | + | 4.32681i | 0.137515 | + | 0.238183i | ||||
\(331\) | −2.32951 | −0.128042 | −0.0640208 | − | 0.997949i | \(-0.520392\pi\) | ||||
−0.0640208 | + | 0.997949i | \(0.520392\pi\) | |||||||
\(332\) | −4.80637 | + | 4.03303i | −0.263784 | + | 0.221341i | ||||
\(333\) | −6.52613 | + | 5.47607i | −0.357630 | + | 0.300087i | ||||
\(334\) | −10.0360 | −0.549143 | ||||||||
\(335\) | 0.657568 | + | 1.13894i | 0.0359268 | + | 0.0622270i | ||||
\(336\) | −0.692846 | − | 2.55342i | −0.0377978 | − | 0.139301i | ||||
\(337\) | −7.63367 | − | 6.40541i | −0.415832 | − | 0.348925i | 0.410743 | − | 0.911751i | \(-0.365269\pi\) |
−0.826575 | + | 0.562827i | \(0.809714\pi\) | |||||||
\(338\) | 27.1243 | + | 9.87244i | 1.47537 | + | 0.536990i | ||||
\(339\) | 13.6126 | + | 11.4223i | 0.739333 | + | 0.620374i | ||||
\(340\) | −0.714751 | + | 4.05355i | −0.0387628 | + | 0.219835i | ||||
\(341\) | 27.0541 | + | 46.8591i | 1.46506 | + | 2.53756i | ||||
\(342\) | −4.35567 | + | 0.167674i | −0.235528 | + | 0.00906680i | ||||
\(343\) | 17.8429 | − | 4.96282i | 0.963428 | − | 0.267967i | ||||
\(344\) | 6.94857 | − | 2.52907i | 0.374642 | − | 0.136358i | ||||
\(345\) | 4.96283 | − | 1.80632i | 0.267190 | − | 0.0972492i | ||||
\(346\) | 0.983497 | + | 5.57769i | 0.0528731 | + | 0.299858i | ||||
\(347\) | −6.10025 | + | 2.22031i | −0.327479 | + | 0.119193i | −0.500527 | − | 0.865721i | \(-0.666860\pi\) |
0.173049 | + | 0.984913i | \(0.444638\pi\) | |||||||
\(348\) | −4.12672 | + | 3.46273i | −0.221215 | + | 0.185622i | ||||
\(349\) | 5.30197 | + | 9.18328i | 0.283808 | + | 0.491570i | 0.972319 | − | 0.233656i | \(-0.0750689\pi\) |
−0.688512 | + | 0.725225i | \(0.741736\pi\) | |||||||
\(350\) | −4.46316 | + | 9.65080i | −0.238566 | + | 0.515857i | ||||
\(351\) | 6.08012 | + | 2.21298i | 0.324533 | + | 0.118120i | ||||
\(352\) | 0.875867 | + | 4.96729i | 0.0466839 | + | 0.264757i | ||||
\(353\) | −13.8686 | − | 24.0211i | −0.738152 | − | 1.27852i | −0.953327 | − | 0.301941i | \(-0.902365\pi\) |
0.215175 | − | 0.976576i | \(-0.430968\pi\) | |||||||
\(354\) | −2.09251 | −0.111215 | ||||||||
\(355\) | 5.49826 | − | 4.61359i | 0.291817 | − | 0.244864i | ||||
\(356\) | 1.67953 | + | 1.40929i | 0.0890147 | + | 0.0746922i | ||||
\(357\) | −10.6285 | − | 2.81193i | −0.562522 | − | 0.148823i | ||||
\(358\) | 0.188683 | − | 1.07008i | 0.00997221 | − | 0.0565552i | ||||
\(359\) | −4.48238 | − | 3.76116i | −0.236571 | − | 0.198507i | 0.516793 | − | 0.856110i | \(-0.327126\pi\) |
−0.753364 | + | 0.657604i | \(0.771570\pi\) | |||||||
\(360\) | 0.495266 | − | 0.857827i | 0.0261028 | − | 0.0452114i | ||||
\(361\) | −8.20691 | + | 17.1361i | −0.431943 | + | 0.901901i | ||||
\(362\) | −12.7450 | − | 22.0749i | −0.669860 | − | 1.16023i | ||||
\(363\) | 13.5702 | − | 4.93915i | 0.712250 | − | 0.259238i | ||||
\(364\) | 14.0539 | + | 9.77460i | 0.736626 | + | 0.512328i | ||||
\(365\) | −5.93124 | + | 4.97690i | −0.310455 | + | 0.260503i | ||||
\(366\) | −0.858162 | + | 4.86688i | −0.0448568 | + | 0.254396i | ||||
\(367\) | −30.2749 | − | 11.0191i | −1.58033 | − | 0.575195i | −0.605058 | − | 0.796181i | \(-0.706850\pi\) |
−0.975277 | + | 0.220987i | \(0.929072\pi\) | |||||||
\(368\) | 5.33181 | 0.277940 | ||||||||
\(369\) | 9.69352 | 0.504625 | ||||||||
\(370\) | −7.92969 | − | 2.88617i | −0.412245 | − | 0.150045i | ||||
\(371\) | 14.9692 | − | 15.0642i | 0.777165 | − | 0.782093i | ||||
\(372\) | 5.36371 | − | 9.29022i | 0.278095 | − | 0.481675i | ||||
\(373\) | 10.6258 | − | 18.4044i | 0.550183 | − | 0.952946i | −0.448077 | − | 0.893995i | \(-0.647891\pi\) |
0.998261 | − | 0.0589510i | \(-0.0187756\pi\) | |||||||
\(374\) | 19.6956 | + | 7.16861i | 1.01844 | + | 0.370680i | ||||
\(375\) | −8.39471 | + | 3.05542i | −0.433501 | + | 0.157781i | ||||
\(376\) | 1.05657 | + | 0.384561i | 0.0544886 | + | 0.0198322i | ||||
\(377\) | 6.05267 | − | 34.3264i | 0.311729 | − | 1.76790i | ||||
\(378\) | 2.17206 | + | 1.51068i | 0.111719 | + | 0.0777011i | ||||
\(379\) | −32.9847 | −1.69431 | −0.847156 | − | 0.531344i | \(-0.821687\pi\) | ||||
−0.847156 | + | 0.531344i | \(0.821687\pi\) | |||||||
\(380\) | −2.30105 | − | 3.65337i | −0.118042 | − | 0.187414i | ||||
\(381\) | 1.49885 | − | 2.59609i | 0.0767885 | − | 0.133002i | ||||
\(382\) | −1.63577 | + | 9.27690i | −0.0836931 | + | 0.474647i | ||||
\(383\) | 20.4418 | − | 7.44021i | 1.04453 | − | 0.380177i | 0.237933 | − | 0.971282i | \(-0.423530\pi\) |
0.806595 | + | 0.591105i | \(0.201308\pi\) | |||||||
\(384\) | 0.766044 | − | 0.642788i | 0.0390920 | − | 0.0328021i | ||||
\(385\) | −10.8520 | − | 7.54762i | −0.553067 | − | 0.384662i | ||||
\(386\) | −2.79980 | − | 15.8784i | −0.142506 | − | 0.808191i | ||||
\(387\) | −3.69726 | + | 6.40383i | −0.187942 | + | 0.325525i | ||||
\(388\) | 0.0413910 | + | 0.0716913i | 0.00210131 | + | 0.00363957i | ||||
\(389\) | −10.9828 | + | 9.21569i | −0.556852 | + | 0.467254i | −0.877253 | − | 0.480028i | \(-0.840627\pi\) |
0.320402 | + | 0.947282i | \(0.396182\pi\) | |||||||
\(390\) | 1.11292 | + | 6.31170i | 0.0563550 | + | 0.319605i | ||||
\(391\) | 11.0780 | − | 19.1876i | 0.560237 | − | 0.970359i | ||||
\(392\) | 4.53332 | + | 5.33376i | 0.228967 | + | 0.269395i | ||||
\(393\) | 1.90976 | + | 10.8308i | 0.0963347 | + | 0.546341i | ||||
\(394\) | 4.16062 | − | 23.5961i | 0.209609 | − | 1.18875i | ||||
\(395\) | −2.06823 | − | 11.7295i | −0.104064 | − | 0.590177i | ||||
\(396\) | −3.86386 | − | 3.24217i | −0.194166 | − | 0.162925i | ||||
\(397\) | 0.0973557 | + | 0.0816912i | 0.00488614 | + | 0.00409996i | 0.645227 | − | 0.763991i | \(-0.276763\pi\) |
−0.640341 | + | 0.768091i | \(0.721207\pi\) | |||||||
\(398\) | 8.04011 | 0.403014 | ||||||||
\(399\) | 10.2401 | − | 5.30472i | 0.512647 | − | 0.265568i | ||||
\(400\) | −4.01884 | −0.200942 | ||||||||
\(401\) | 9.16364 | + | 7.68920i | 0.457610 | + | 0.383981i | 0.842251 | − | 0.539086i | \(-0.181230\pi\) |
−0.384641 | + | 0.923066i | \(0.625675\pi\) | |||||||
\(402\) | −1.01708 | − | 0.853433i | −0.0507274 | − | 0.0425654i | ||||
\(403\) | 12.0529 | + | 68.3554i | 0.600398 | + | 3.40502i | ||||
\(404\) | 0.287415 | − | 1.63001i | 0.0142994 | − | 0.0810960i | ||||
\(405\) | 0.172004 | + | 0.975484i | 0.00854696 | + | 0.0484722i | ||||
\(406\) | 5.98263 | − | 12.9364i | 0.296913 | − | 0.642022i | ||||
\(407\) | −21.4852 | + | 37.2135i | −1.06498 | + | 1.84460i | ||||
\(408\) | −0.721582 | − | 4.09229i | −0.0357236 | − | 0.202599i | ||||
\(409\) | 20.6197 | − | 17.3020i | 1.01958 | − | 0.855528i | 0.0300037 | − | 0.999550i | \(-0.490448\pi\) |
0.989574 | + | 0.144022i | \(0.0460037\pi\) | |||||||
\(410\) | 4.80087 | + | 8.31536i | 0.237098 | + | 0.410666i | ||||
\(411\) | 11.1632 | − | 19.3353i | 0.550642 | − | 0.953740i | ||||
\(412\) | 0.201965 | + | 1.14540i | 0.00995008 | + | 0.0564297i | ||||
\(413\) | 5.01013 | − | 2.35557i | 0.246532 | − | 0.115910i | ||||
\(414\) | −4.08441 | + | 3.42722i | −0.200738 | + | 0.168439i | ||||
\(415\) | 5.84007 | − | 2.12561i | 0.286678 | − | 0.104342i | ||||
\(416\) | −1.12356 | + | 6.37203i | −0.0550871 | + | 0.312414i | ||||
\(417\) | −4.25192 | + | 7.36453i | −0.208217 | + | 0.360643i | ||||
\(418\) | −20.3555 | + | 8.30880i | −0.995618 | + | 0.406396i | ||||
\(419\) | 4.81154 | 0.235059 | 0.117530 | − | 0.993069i | \(-0.462502\pi\) | ||||
0.117530 | + | 0.993069i | \(0.462502\pi\) | |||||||
\(420\) | −0.220156 | + | 2.61144i | −0.0107425 | + | 0.127425i | ||||
\(421\) | 5.32406 | − | 30.1942i | 0.259479 | − | 1.47158i | −0.524831 | − | 0.851207i | \(-0.675871\pi\) |
0.784309 | − | 0.620370i | \(-0.213017\pi\) | |||||||
\(422\) | −6.80273 | − | 2.47599i | −0.331152 | − | 0.120529i | ||||
\(423\) | −1.05657 | + | 0.384561i | −0.0513723 | + | 0.0186980i | ||||
\(424\) | 7.54274 | + | 2.74533i | 0.366308 | + | 0.133325i | ||||
\(425\) | −8.35000 | + | 14.4626i | −0.405035 | + | 0.701541i | ||||
\(426\) | −3.62303 | + | 6.27528i | −0.175537 | + | 0.304038i | ||||
\(427\) | −3.42401 | − | 12.6189i | −0.165700 | − | 0.610672i | ||||
\(428\) | −0.359233 | − | 0.130750i | −0.0173642 | − | 0.00632005i | ||||
\(429\) | 32.6358 | 1.57567 | ||||||||
\(430\) | −7.32451 | −0.353219 | ||||||||
\(431\) | −4.96619 | − | 1.80754i | −0.239213 | − | 0.0870664i | 0.219632 | − | 0.975583i | \(-0.429514\pi\) |
−0.458845 | + | 0.888516i | \(0.651737\pi\) | |||||||
\(432\) | −0.173648 | + | 0.984808i | −0.00835465 | + | 0.0473816i | ||||
\(433\) | −22.1928 | + | 18.6220i | −1.06652 | + | 0.894916i | −0.994733 | − | 0.102504i | \(-0.967315\pi\) |
−0.0717870 | + | 0.997420i | \(0.522870\pi\) | |||||||
\(434\) | −2.38427 | + | 28.2818i | −0.114449 | + | 1.35757i | ||||
\(435\) | 5.01425 | − | 1.82504i | 0.240415 | − | 0.0875038i | ||||
\(436\) | 0.475680 | + | 0.823903i | 0.0227810 | + | 0.0394578i | ||||
\(437\) | 4.91317 | + | 22.7156i | 0.235029 | + | 1.08663i | ||||
\(438\) | 3.90834 | − | 6.76945i | 0.186748 | − | 0.323457i | ||||
\(439\) | 10.3347 | + | 8.67185i | 0.493249 | + | 0.413885i | 0.855189 | − | 0.518317i | \(-0.173441\pi\) |
−0.361940 | + | 0.932201i | \(0.617886\pi\) | |||||||
\(440\) | 0.867575 | − | 4.92026i | 0.0413600 | − | 0.234564i | ||||
\(441\) | −6.90120 | − | 1.17193i | −0.328629 | − | 0.0558062i | ||||
\(442\) | 20.5966 | + | 17.2826i | 0.979680 | + | 0.822049i | ||||
\(443\) | 28.5805 | − | 23.9819i | 1.35790 | − | 1.13942i | 0.381278 | − | 0.924460i | \(-0.375484\pi\) |
0.976624 | − | 0.214955i | \(-0.0689605\pi\) | |||||||
\(444\) | 8.51926 | 0.404306 | ||||||||
\(445\) | −1.08585 | − | 1.88075i | −0.0514744 | − | 0.0891563i | ||||
\(446\) | −1.43451 | − | 8.13550i | −0.0679260 | − | 0.385227i | ||||
\(447\) | 6.46847 | + | 2.35433i | 0.305948 | + | 0.111356i | ||||
\(448\) | −1.11056 | + | 2.40139i | −0.0524689 | + | 0.113455i | ||||
\(449\) | 6.64980 | + | 11.5178i | 0.313823 | + | 0.543558i | 0.979187 | − | 0.202962i | \(-0.0650567\pi\) |
−0.665363 | + | 0.746520i | \(0.731723\pi\) | |||||||
\(450\) | 3.07861 | − | 2.58326i | 0.145127 | − | 0.121776i | ||||
\(451\) | 45.9447 | − | 16.7225i | 2.16345 | − | 0.787432i | ||||
\(452\) | −3.08572 | − | 17.5000i | −0.145140 | − | 0.823129i | ||||
\(453\) | −7.95821 | + | 2.89655i | −0.373909 | + | 0.136092i | ||||
\(454\) | −26.0827 | + | 9.49333i | −1.22412 | + | 0.445544i | ||||
\(455\) | −9.76988 | − | 13.8594i | −0.458019 | − | 0.649738i | ||||
\(456\) | 3.44442 | + | 2.67133i | 0.161300 | + | 0.125096i | ||||
\(457\) | −14.5416 | − | 25.1868i | −0.680228 | − | 1.17819i | −0.974911 | − | 0.222594i | \(-0.928548\pi\) |
0.294683 | − | 0.955595i | \(-0.404786\pi\) | |||||||
\(458\) | 2.11113 | − | 11.9728i | 0.0986464 | − | 0.559452i | ||||
\(459\) | 3.18324 | + | 2.67106i | 0.148581 | + | 0.124674i | ||||
\(460\) | −4.96283 | − | 1.80632i | −0.231393 | − | 0.0842203i | ||||
\(461\) | 26.3111 | + | 22.0776i | 1.22543 | + | 1.02826i | 0.998522 | + | 0.0543416i | \(0.0173060\pi\) |
0.226908 | + | 0.973916i | \(0.427138\pi\) | |||||||
\(462\) | 12.9011 | + | 3.41316i | 0.600213 | + | 0.158795i | ||||
\(463\) | −6.64026 | − | 11.5013i | −0.308599 | − | 0.534509i | 0.669457 | − | 0.742851i | \(-0.266527\pi\) |
−0.978056 | + | 0.208342i | \(0.933193\pi\) | |||||||
\(464\) | 5.38705 | 0.250087 | ||||||||
\(465\) | −8.13988 | + | 6.83017i | −0.377478 | + | 0.316742i | ||||
\(466\) | 9.00200 | − | 7.55357i | 0.417009 | − | 0.349912i | ||||
\(467\) | 8.45759 | 0.391371 | 0.195685 | − | 0.980667i | \(-0.437307\pi\) | ||||
0.195685 | + | 0.980667i | \(0.437307\pi\) | |||||||
\(468\) | −3.23516 | − | 5.60346i | −0.149545 | − | 0.259020i | ||||
\(469\) | 3.39594 | + | 0.898444i | 0.156810 | + | 0.0414863i | ||||
\(470\) | −0.853172 | − | 0.715896i | −0.0393539 | − | 0.0330218i | ||||
\(471\) | 9.33805 | + | 3.39877i | 0.430275 | + | 0.156607i | ||||
\(472\) | 1.60295 | + | 1.34504i | 0.0737819 | + | 0.0619104i | ||||
\(473\) | −6.47661 | + | 36.7307i | −0.297795 | + | 1.68888i | ||||
\(474\) | 6.01216 | + | 10.4134i | 0.276148 | + | 0.478302i | ||||
\(475\) | −3.70329 | − | 17.1218i | −0.169919 | − | 0.785603i | ||||
\(476\) | 6.33446 | + | 8.98596i | 0.290340 | + | 0.411871i | ||||
\(477\) | −7.54274 | + | 2.74533i | −0.345358 | + | 0.125700i | ||||
\(478\) | 7.85176 | − | 2.85781i | 0.359131 | − | 0.130713i | ||||
\(479\) | −3.83562 | − | 21.7529i | −0.175254 | − | 0.993914i | −0.937851 | − | 0.347039i | \(-0.887187\pi\) |
0.762597 | − | 0.646874i | \(-0.223924\pi\) | |||||||
\(480\) | −0.930796 | + | 0.338782i | −0.0424848 | + | 0.0154632i | ||||
\(481\) | −42.2262 | + | 35.4320i | −1.92535 | + | 1.61556i | ||||
\(482\) | −0.350530 | − | 0.607136i | −0.0159662 | − | 0.0276543i | ||||
\(483\) | 5.92129 | − | 12.8038i | 0.269428 | − | 0.582591i | ||||
\(484\) | −13.5702 | − | 4.93915i | −0.616827 | − | 0.224507i | ||||
\(485\) | −0.0142388 | − | 0.0807525i | −0.000646553 | − | 0.00366678i | ||||
\(486\) | −0.500000 | − | 0.866025i | −0.0226805 | − | 0.0392837i | ||||
\(487\) | −1.58675 | −0.0719025 | −0.0359512 | − | 0.999354i | \(-0.511446\pi\) | ||||
−0.0359512 | + | 0.999354i | \(0.511446\pi\) | |||||||
\(488\) | 3.78576 | − | 3.17663i | 0.171373 | − | 0.143799i | ||||
\(489\) | 14.5665 | + | 12.2228i | 0.658720 | + | 0.552732i | ||||
\(490\) | −2.41262 | − | 6.50045i | −0.108991 | − | 0.293660i | ||||
\(491\) | 2.77772 | − | 15.7532i | 0.125357 | − | 0.710933i | −0.855739 | − | 0.517408i | \(-0.826897\pi\) |
0.981095 | − | 0.193525i | \(-0.0619920\pi\) | |||||||
\(492\) | −7.42567 | − | 6.23087i | −0.334775 | − | 0.280910i | ||||
\(493\) | 11.1927 | − | 19.3864i | 0.504096 | − | 0.873119i | ||||
\(494\) | −28.1826 | + | 1.08491i | −1.26800 | + | 0.0488123i | ||||
\(495\) | 2.49808 | + | 4.32681i | 0.112280 | + | 0.194475i | ||||
\(496\) | −10.0805 | + | 3.66899i | −0.452627 | + | 0.164743i | ||||
\(497\) | 1.61051 | − | 19.1035i | 0.0722412 | − | 0.856910i | ||||
\(498\) | −4.80637 | + | 4.03303i | −0.215379 | + | 0.180724i | ||||
\(499\) | 1.78705 | − | 10.1349i | 0.0799995 | − | 0.453700i | −0.918325 | − | 0.395828i | \(-0.870458\pi\) |
0.998324 | − | 0.0578714i | \(-0.0184313\pi\) | |||||||
\(500\) | 8.39471 | + | 3.05542i | 0.375423 | + | 0.136643i | ||||
\(501\) | −10.0360 | −0.448374 | ||||||||
\(502\) | 24.4345 | 1.09056 | ||||||||
\(503\) | −30.0852 | − | 10.9501i | −1.34143 | − | 0.488241i | −0.431168 | − | 0.902272i | \(-0.641898\pi\) |
−0.910263 | + | 0.414031i | \(0.864121\pi\) | |||||||
\(504\) | −0.692846 | − | 2.55342i | −0.0308618 | − | 0.113738i | ||||
\(505\) | −0.819743 | + | 1.41984i | −0.0364781 | + | 0.0631819i | ||||
\(506\) | −13.4466 | + | 23.2902i | −0.597775 | + | 1.03538i | ||||
\(507\) | 27.1243 | + | 9.87244i | 1.20463 | + | 0.438451i | ||||
\(508\) | −2.81692 | + | 1.02527i | −0.124981 | + | 0.0454892i | ||||
\(509\) | 11.3483 | + | 4.13046i | 0.503006 | + | 0.183079i | 0.581046 | − | 0.813871i | \(-0.302644\pi\) |
−0.0780394 | + | 0.996950i | \(0.524866\pi\) | |||||||
\(510\) | −0.714751 | + | 4.05355i | −0.0316497 | + | 0.179494i | ||||
\(511\) | −1.73733 | + | 20.6079i | −0.0768552 | + | 0.911640i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −4.35567 | + | 0.167674i | −0.192308 | + | 0.00740301i | ||||
\(514\) | 4.76256 | − | 8.24899i | 0.210067 | − | 0.363847i | ||||
\(515\) | 0.200053 | − | 1.13455i | 0.00881537 | − | 0.0499944i | ||||
\(516\) | 6.94857 | − | 2.52907i | 0.305894 | − | 0.111336i | ||||
\(517\) | −4.34446 | + | 3.64543i | −0.191069 | + | 0.160326i | ||||
\(518\) | −20.3978 | + | 9.59027i | −0.896229 | + | 0.421372i | ||||
\(519\) | 0.983497 | + | 5.57769i | 0.0431707 | + | 0.244833i | ||||
\(520\) | 3.20453 | − | 5.55042i | 0.140528 | − | 0.243402i | ||||
\(521\) | 4.79077 | + | 8.29786i | 0.209887 | + | 0.363536i | 0.951679 | − | 0.307095i | \(-0.0993569\pi\) |
−0.741791 | + | 0.670631i | \(0.766024\pi\) | |||||||
\(522\) | −4.12672 | + | 3.46273i | −0.180622 | + | 0.151560i | ||||
\(523\) | 2.58288 | + | 14.6483i | 0.112942 | + | 0.640524i | 0.987749 | + | 0.156053i | \(0.0498769\pi\) |
−0.874807 | + | 0.484471i | \(0.839012\pi\) | |||||||
\(524\) | 5.49894 | − | 9.52444i | 0.240222 | − | 0.416077i | ||||
\(525\) | −4.46316 | + | 9.65080i | −0.194788 | + | 0.421196i | ||||
\(526\) | −0.279660 | − | 1.58603i | −0.0121938 | − | 0.0691543i | ||||
\(527\) | −7.74071 | + | 43.8998i | −0.337191 | + | 1.91230i | ||||
\(528\) | 0.875867 | + | 4.96729i | 0.0381172 | + | 0.216173i | ||||
\(529\) | 4.15827 | + | 3.48920i | 0.180794 | + | 0.151705i | ||||
\(530\) | −6.09068 | − | 5.11069i | −0.264562 | − | 0.221994i | ||||
\(531\) | −2.09251 | −0.0908071 | ||||||||
\(532\) | −11.2542 | − | 2.51857i | −0.487931 | − | 0.109194i | ||||
\(533\) | 62.7202 | 2.71671 | ||||||||
\(534\) | 1.67953 | + | 1.40929i | 0.0726802 | + | 0.0609859i | ||||
\(535\) | 0.290077 | + | 0.243404i | 0.0125411 | + | 0.0105233i | ||||
\(536\) | 0.230554 | + | 1.30753i | 0.00995840 | + | 0.0564769i | ||||
\(537\) | 0.188683 | − | 1.07008i | 0.00814228 | − | 0.0461772i | ||||
\(538\) | 1.80555 | + | 10.2398i | 0.0778429 | + | 0.441469i | ||||
\(539\) | −34.7316 | + | 6.35077i | −1.49599 | + | 0.273547i | ||||
\(540\) | 0.495266 | − | 0.857827i | 0.0213129 | − | 0.0369150i | ||||
\(541\) | 3.96526 | + | 22.4881i | 0.170480 | + | 0.966838i | 0.943233 | + | 0.332132i | \(0.107768\pi\) |
−0.772753 | + | 0.634707i | \(0.781121\pi\) | |||||||
\(542\) | −3.39030 | + | 2.84480i | −0.145626 | + | 0.122195i | ||||
\(543\) | −12.7450 | − | 22.0749i | −0.546939 | − | 0.947326i | ||||
\(544\) | −2.07771 | + | 3.59870i | −0.0890812 | + | 0.154293i | ||||
\(545\) | −0.163638 | − | 0.928038i | −0.00700949 | − | 0.0397528i | ||||
\(546\) | 14.0539 | + | 9.77460i | 0.601452 | + | 0.418314i | ||||
\(547\) | 13.9502 | − | 11.7056i | 0.596468 | − | 0.500496i | −0.293840 | − | 0.955855i | \(-0.594933\pi\) |
0.890308 | + | 0.455359i | \(0.150489\pi\) | |||||||
\(548\) | −20.9800 | + | 7.63611i | −0.896223 | + | 0.326198i | ||||
\(549\) | −0.858162 | + | 4.86688i | −0.0366255 | + | 0.207713i | ||||
\(550\) | 10.1354 | − | 17.5550i | 0.432173 | − | 0.748546i | ||||
\(551\) | 4.96407 | + | 22.9509i | 0.211476 | + | 0.977741i | ||||
\(552\) | 5.33181 | 0.226937 | ||||||||
\(553\) | −26.1175 | − | 18.1649i | −1.11063 | − | 0.772451i | ||||
\(554\) | 1.72434 | − | 9.77923i | 0.0732603 | − | 0.415480i | ||||
\(555\) | −7.92969 | − | 2.88617i | −0.336597 | − | 0.122511i | ||||
\(556\) | 7.99099 | − | 2.90848i | 0.338893 | − | 0.123347i | ||||
\(557\) | 6.17319 | + | 2.24686i | 0.261566 | + | 0.0952024i | 0.469475 | − | 0.882946i | \(-0.344443\pi\) |
−0.207908 | + | 0.978148i | \(0.566666\pi\) | |||||||
\(558\) | 5.36371 | − | 9.29022i | 0.227064 | − | 0.393286i | ||||
\(559\) | −23.9224 | + | 41.4349i | −1.01181 | + | 1.75251i | ||||
\(560\) | 1.84725 | − | 1.85897i | 0.0780606 | − | 0.0785556i | ||||
\(561\) | 19.6956 | + | 7.16861i | 0.831549 | + | 0.302659i | ||||
\(562\) | 30.2863 | 1.27755 | ||||||||
\(563\) | 24.2244 | 1.02093 | 0.510467 | − | 0.859897i | \(-0.329472\pi\) | ||||
0.510467 | + | 0.859897i | \(0.329472\pi\) | |||||||
\(564\) | 1.05657 | + | 0.384561i | 0.0444898 | + | 0.0161929i | ||||
\(565\) | −3.05650 | + | 17.3343i | −0.128588 | + | 0.729259i | ||||
\(566\) | 13.6466 | − | 11.4509i | 0.573609 | − | 0.481315i | ||||
\(567\) | 2.17206 | + | 1.51068i | 0.0912179 | + | 0.0634427i | ||||
\(568\) | 6.80908 | − | 2.47830i | 0.285702 | − | 0.103987i | ||||
\(569\) | −15.8434 | − | 27.4415i | −0.664188 | − | 1.15041i | −0.979505 | − | 0.201421i | \(-0.935444\pi\) |
0.315316 | − | 0.948987i | \(-0.397889\pi\) | |||||||
\(570\) | −2.30105 | − | 3.65337i | −0.0963805 | − | 0.153023i | ||||
\(571\) | 8.78211 | − | 15.2111i | 0.367520 | − | 0.636563i | −0.621657 | − | 0.783289i | \(-0.713540\pi\) |
0.989177 | + | 0.146726i | \(0.0468737\pi\) | |||||||
\(572\) | −25.0005 | − | 20.9779i | −1.04532 | − | 0.877129i | ||||
\(573\) | −1.63577 | + | 9.27690i | −0.0683352 | + | 0.387548i | ||||
\(574\) | 24.7936 | + | 6.55950i | 1.03487 | + | 0.273788i | ||||
\(575\) | −16.4146 | − | 13.7735i | −0.684536 | − | 0.574394i | ||||
\(576\) | 0.766044 | − | 0.642788i | 0.0319185 | − | 0.0267828i | ||||
\(577\) | 1.38908 | 0.0578282 | 0.0289141 | − | 0.999582i | \(-0.490795\pi\) | ||||
0.0289141 | + | 0.999582i | \(0.490795\pi\) | |||||||
\(578\) | 0.133777 | + | 0.231708i | 0.00556438 | + | 0.00963778i | ||||
\(579\) | −2.79980 | − | 15.8784i | −0.116356 | − | 0.659885i | ||||
\(580\) | −5.01425 | − | 1.82504i | −0.208205 | − | 0.0757805i | ||||
\(581\) | 6.96794 | − | 15.0670i | 0.289079 | − | 0.625083i | ||||
\(582\) | 0.0413910 | + | 0.0716913i | 0.00171571 | + | 0.00297170i | ||||
\(583\) | −31.0145 | + | 26.0243i | −1.28449 | + | 1.07782i | ||||
\(584\) | −7.34528 | + | 2.67346i | −0.303950 | + | 0.110629i | ||||
\(585\) | 1.11292 | + | 6.31170i | 0.0460137 | + | 0.260957i | ||||
\(586\) | −26.6828 | + | 9.71173i | −1.10226 | + | 0.401188i | ||||
\(587\) | 1.06194 | − | 0.386514i | 0.0438309 | − | 0.0159532i | −0.320012 | − | 0.947414i | \(-0.603687\pi\) |
0.363843 | + | 0.931460i | \(0.381465\pi\) | |||||||
\(588\) | 4.53332 | + | 5.33376i | 0.186951 | + | 0.219960i | ||||
\(589\) | −24.9203 | − | 39.5658i | −1.02682 | − | 1.63028i | ||||
\(590\) | −1.03635 | − | 1.79501i | −0.0426658 | − | 0.0738993i | ||||
\(591\) | 4.16062 | − | 23.5961i | 0.171145 | − | 0.970612i | ||||
\(592\) | −6.52613 | − | 5.47607i | −0.268222 | − | 0.225065i | ||||
\(593\) | −14.6840 | − | 5.34452i | −0.602998 | − | 0.219473i | 0.0224390 | − | 0.999748i | \(-0.492857\pi\) |
−0.625437 | + | 0.780275i | \(0.715079\pi\) | |||||||
\(594\) | −3.86386 | − | 3.24217i | −0.158536 | − | 0.133028i | ||||
\(595\) | −2.85181 | − | 10.5101i | −0.116913 | − | 0.430872i | ||||
\(596\) | −3.44180 | − | 5.96138i | −0.140982 | − | 0.244188i | ||||
\(597\) | 8.04011 | 0.329060 | ||||||||
\(598\) | −26.4274 | + | 22.1752i | −1.08070 | + | 0.906813i | ||||
\(599\) | 19.5541 | − | 16.4078i | 0.798958 | − | 0.670405i | −0.148987 | − | 0.988839i | \(-0.547601\pi\) |
0.947945 | + | 0.318434i | \(0.103157\pi\) | |||||||
\(600\) | −4.01884 | −0.164069 | ||||||||
\(601\) | −6.04790 | − | 10.4753i | −0.246699 | − | 0.427295i | 0.715909 | − | 0.698194i | \(-0.246013\pi\) |
−0.962608 | + | 0.270899i | \(0.912679\pi\) | |||||||
\(602\) | −13.7901 | + | 13.8775i | −0.562041 | + | 0.565606i | ||||
\(603\) | −1.01708 | − | 0.853433i | −0.0414188 | − | 0.0347545i | ||||
\(604\) | 7.95821 | + | 2.89655i | 0.323815 | + | 0.117859i | ||||
\(605\) | 10.9578 | + | 9.19468i | 0.445498 | + | 0.373817i | ||||
\(606\) | 0.287415 | − | 1.63001i | 0.0116754 | − | 0.0662146i | ||||
\(607\) | −13.4825 | − | 23.3523i | −0.547237 | − | 0.947842i | −0.998462 | − | 0.0554321i | \(-0.982346\pi\) |
0.451226 | − | 0.892410i | \(-0.350987\pi\) | |||||||
\(608\) | −0.921482 | − | 4.26038i | −0.0373710 | − | 0.172781i | ||||
\(609\) | 5.98263 | − | 12.9364i | 0.242428 | − | 0.524209i | ||||
\(610\) | −4.59996 | + | 1.67425i | −0.186247 | + | 0.0677883i | ||||
\(611\) | −6.83637 | + | 2.48824i | −0.276570 | + | 0.100663i | ||||
\(612\) | −0.721582 | − | 4.09229i | −0.0291682 | − | 0.165421i | ||||
\(613\) | 39.0403 | − | 14.2095i | 1.57682 | − | 0.573917i | 0.602314 | − | 0.798259i | \(-0.294246\pi\) |
0.974510 | + | 0.224342i | \(0.0720234\pi\) | |||||||
\(614\) | 15.6613 | − | 13.1414i | 0.632039 | − | 0.530344i | ||||
\(615\) | 4.80087 | + | 8.31536i | 0.193590 | + | 0.335308i | ||||
\(616\) | −7.68887 | − | 10.9073i | −0.309793 | − | 0.439467i | ||||
\(617\) | −8.20916 | − | 2.98789i | −0.330488 | − | 0.120288i | 0.171446 | − | 0.985193i | \(-0.445156\pi\) |
−0.501935 | + | 0.864906i | \(0.667378\pi\) | |||||||
\(618\) | 0.201965 | + | 1.14540i | 0.00812421 | + | 0.0460747i | ||||
\(619\) | −17.8671 | − | 30.9467i | −0.718138 | − | 1.24385i | −0.961737 | − | 0.273975i | \(-0.911661\pi\) |
0.243599 | − | 0.969876i | \(-0.421672\pi\) | |||||||
\(620\) | 10.6259 | 0.426745 | ||||||||
\(621\) | −4.08441 | + | 3.42722i | −0.163902 | + | 0.137530i | ||||
\(622\) | −2.12599 | − | 1.78392i | −0.0852444 | − | 0.0715285i | ||||
\(623\) | −5.60778 | − | 1.48362i | −0.224671 | − | 0.0594398i | ||||
\(624\) | −1.12356 | + | 6.37203i | −0.0449784 | + | 0.255085i | ||||
\(625\) | 8.61443 | + | 7.22836i | 0.344577 | + | 0.289135i | ||||
\(626\) | −17.5856 | + | 30.4591i | −0.702862 | + | 1.21739i | ||||
\(627\) | −20.3555 | + | 8.30880i | −0.812919 | + | 0.331821i | ||||
\(628\) | −4.96867 | − | 8.60599i | −0.198272 | − | 0.343417i | ||||
\(629\) | −33.2662 | + | 12.1079i | −1.32641 | + | 0.482774i | ||||
\(630\) | −0.220156 | + | 2.61144i | −0.00877121 | + | 0.104042i | ||||
\(631\) | −21.0713 | + | 17.6809i | −0.838834 | + | 0.703865i | −0.957301 | − | 0.289093i | \(-0.906646\pi\) |
0.118467 | + | 0.992958i | \(0.462202\pi\) | |||||||
\(632\) | 2.08800 | − | 11.8416i | 0.0830562 | − | 0.471035i | ||||
\(633\) | −6.80273 | − | 2.47599i | −0.270384 | − | 0.0984118i | ||||
\(634\) | −6.76197 | −0.268552 | ||||||||
\(635\) | 2.96932 | 0.117834 | ||||||||
\(636\) | 7.54274 | + | 2.74533i | 0.299089 | + | 0.108859i | ||||
\(637\) | −44.6530 | − | 7.58277i | −1.76922 | − | 0.300440i | ||||
\(638\) | −13.5859 | + | 23.5315i | −0.537872 | + | 0.931621i | ||||
\(639\) | −3.62303 | + | 6.27528i | −0.143325 | + | 0.248246i | ||||
\(640\) | 0.930796 | + | 0.338782i | 0.0367930 | + | 0.0133915i | ||||
\(641\) | 29.4209 | − | 10.7083i | 1.16205 | − | 0.422953i | 0.312223 | − | 0.950009i | \(-0.398926\pi\) |
0.849831 | + | 0.527056i | \(0.176704\pi\) | |||||||
\(642\) | −0.359233 | − | 0.130750i | −0.0141778 | − | 0.00516030i | ||||
\(643\) | −0.0462868 | + | 0.262506i | −0.00182537 | + | 0.0103522i | −0.985707 | − | 0.168470i | \(-0.946117\pi\) |
0.983881 | + | 0.178822i | \(0.0572286\pi\) | |||||||
\(644\) | −12.7661 | + | 6.00211i | −0.503053 | + | 0.236516i | ||||
\(645\) | −7.32451 | −0.288402 | ||||||||
\(646\) | −17.2464 | − | 5.53571i | −0.678552 | − | 0.217800i | ||||
\(647\) | 3.79354 | − | 6.57060i | 0.149139 | − | 0.258317i | −0.781770 | − | 0.623567i | \(-0.785683\pi\) |
0.930910 | + | 0.365250i | \(0.119016\pi\) | |||||||
\(648\) | −0.173648 | + | 0.984808i | −0.00682154 | + | 0.0386869i | ||||
\(649\) | −9.91792 | + | 3.60983i | −0.389312 | + | 0.141698i | ||||
\(650\) | 19.9196 | − | 16.7146i | 0.781312 | − | 0.655599i | ||||
\(651\) | −2.38427 | + | 28.2818i | −0.0934471 | + | 1.10845i | ||||
\(652\) | −3.30196 | − | 18.7263i | −0.129315 | − | 0.733380i | ||||
\(653\) | 4.82988 | − | 8.36560i | 0.189008 | − | 0.327371i | −0.755912 | − | 0.654673i | \(-0.772806\pi\) |
0.944920 | + | 0.327302i | \(0.106139\pi\) | |||||||
\(654\) | 0.475680 | + | 0.823903i | 0.0186006 | + | 0.0322171i | ||||
\(655\) | −8.34510 | + | 7.00237i | −0.326070 | + | 0.273605i | ||||
\(656\) | 1.68326 | + | 9.54625i | 0.0657203 | + | 0.372719i | ||||
\(657\) | 3.90834 | − | 6.76945i | 0.152479 | − | 0.264101i | ||||
\(658\) | −2.96268 | + | 0.268640i | −0.115497 | + | 0.0104727i | ||||
\(659\) | 4.61611 | + | 26.1793i | 0.179818 | + | 1.01980i | 0.932434 | + | 0.361340i | \(0.117681\pi\) |
−0.752616 | + | 0.658460i | \(0.771208\pi\) | |||||||
\(660\) | 0.867575 | − | 4.92026i | 0.0337703 | − | 0.191521i | ||||
\(661\) | −2.25218 | − | 12.7727i | −0.0875997 | − | 0.496802i | −0.996765 | − | 0.0803677i | \(-0.974391\pi\) |
0.909166 | − | 0.416435i | \(-0.136721\pi\) | |||||||
\(662\) | 1.78451 | + | 1.49738i | 0.0693569 | + | 0.0581974i | ||||
\(663\) | 20.5966 | + | 17.2826i | 0.799905 | + | 0.671200i | ||||
\(664\) | 6.27427 | 0.243489 | ||||||||
\(665\) | 9.62212 | + | 6.15699i | 0.373130 | + | 0.238758i | ||||
\(666\) | 8.51926 | 0.330115 | ||||||||
\(667\) | 22.0029 | + | 18.4626i | 0.851956 | + | 0.714876i | ||||
\(668\) | 7.68799 | + | 6.45099i | 0.297457 | + | 0.249596i | ||||
\(669\) | −1.43451 | − | 8.13550i | −0.0554613 | − | 0.314537i | ||||
\(670\) | 0.228371 | − | 1.29516i | 0.00882274 | − | 0.0500362i | ||||
\(671\) | 4.32850 | + | 24.5481i | 0.167100 | + | 0.947670i | ||||
\(672\) | −1.11056 | + | 2.40139i | −0.0428407 | + | 0.0926355i | ||||
\(673\) | 2.13134 | − | 3.69160i | 0.0821573 | − | 0.142301i | −0.822019 | − | 0.569460i | \(-0.807152\pi\) |
0.904176 | + | 0.427159i | \(0.140486\pi\) | |||||||
\(674\) | 1.73041 | + | 9.81365i | 0.0666530 | + | 0.378008i | ||||
\(675\) | 3.07861 | − | 2.58326i | 0.118496 | − | 0.0994299i | ||||
\(676\) | −14.4325 | − | 24.9979i | −0.555098 | − | 0.961458i | ||||
\(677\) | 19.6025 | − | 33.9526i | 0.753386 | − | 1.30490i | −0.192787 | − | 0.981241i | \(-0.561753\pi\) |
0.946173 | − | 0.323662i | \(-0.104914\pi\) | |||||||
\(678\) | −3.08572 | − | 17.5000i | −0.118506 | − | 0.672082i | ||||
\(679\) | −0.179807 | − | 0.125057i | −0.00690037 | − | 0.00479926i | ||||
\(680\) | 3.15310 | − | 2.64577i | 0.120916 | − | 0.101461i | ||||
\(681\) | −26.0827 | + | 9.49333i | −0.999492 | + | 0.363785i | ||||
\(682\) | 9.39579 | − | 53.2862i | 0.359784 | − | 2.04043i | ||||
\(683\) | 1.72495 | − | 2.98771i | 0.0660035 | − | 0.114321i | −0.831135 | − | 0.556070i | \(-0.812308\pi\) |
0.897139 | + | 0.441749i | \(0.145642\pi\) | |||||||
\(684\) | 3.44442 | + | 2.67133i | 0.131701 | + | 0.102141i | ||||
\(685\) | 22.1151 | 0.844975 | ||||||||
\(686\) | −16.8585 | − | 7.66748i | −0.643661 | − | 0.292746i | ||||
\(687\) | 2.11113 | − | 11.9728i | 0.0805445 | − | 0.456790i | ||||
\(688\) | −6.94857 | − | 2.52907i | −0.264912 | − | 0.0964200i | ||||
\(689\) | −48.8039 | + | 17.7632i | −1.85928 | + | 0.676723i | ||||
\(690\) | −4.96283 | − | 1.80632i | −0.188932 | − | 0.0687656i | ||||
\(691\) | 4.95647 | − | 8.58486i | 0.188553 | − | 0.326583i | −0.756215 | − | 0.654323i | \(-0.772954\pi\) |
0.944768 | + | 0.327740i | \(0.106287\pi\) | |||||||
\(692\) | 2.83187 | − | 4.90494i | 0.107651 | − | 0.186458i | ||||
\(693\) | 12.9011 | + | 3.41316i | 0.490072 | + | 0.129655i | ||||
\(694\) | 6.10025 | + | 2.22031i | 0.231562 | + | 0.0842818i | ||||
\(695\) | −8.42332 | −0.319515 | ||||||||
\(696\) | 5.38705 | 0.204196 | ||||||||
\(697\) | 37.8515 | + | 13.7768i | 1.43373 | + | 0.521834i | ||||
\(698\) | 1.84135 | − | 10.4428i | 0.0696963 | − | 0.395267i | ||||
\(699\) | 9.00200 | − | 7.55357i | 0.340487 | − | 0.285702i | ||||
\(700\) | 9.62239 | − | 4.52408i | 0.363692 | − | 0.170994i | ||||
\(701\) | 40.9377 | − | 14.9001i | 1.54620 | − | 0.562769i | 0.578674 | − | 0.815559i | \(-0.303570\pi\) |
0.967521 | + | 0.252790i | \(0.0813482\pi\) | |||||||
\(702\) | −3.23516 | − | 5.60346i | −0.122103 | − | 0.211489i | ||||
\(703\) | 17.3165 | − | 32.8499i | 0.653103 | − | 1.23896i | ||||
\(704\) | 2.52196 | − | 4.36816i | 0.0950499 | − | 0.164631i | ||||
\(705\) | −0.853172 | − | 0.715896i | −0.0321323 | − | 0.0269622i | ||||
\(706\) | −4.81652 | + | 27.3158i | −0.181272 | + | 1.02805i | ||||
\(707\) | 1.14677 | + | 4.22631i | 0.0431286 | + | 0.158947i | ||||
\(708\) | 1.60295 | + | 1.34504i | 0.0602427 | + | 0.0505496i | ||||
\(709\) | −37.4657 | + | 31.4375i | −1.40706 | + | 1.18066i | −0.449192 | + | 0.893435i | \(0.648288\pi\) |
−0.957863 | + | 0.287225i | \(0.907267\pi\) | |||||||
\(710\) | −7.17747 | −0.269366 | ||||||||
\(711\) | 6.01216 | + | 10.4134i | 0.225474 | + | 0.390532i | ||||
\(712\) | −0.380717 | − | 2.15916i | −0.0142680 | − | 0.0809178i | ||||
\(713\) | −53.7472 | − | 19.5624i | −2.01285 | − | 0.732617i | ||||
\(714\) | 6.33446 | + | 8.98596i | 0.237061 | + | 0.336291i | ||||
\(715\) | 16.1634 | + | 27.9958i | 0.604477 | + | 1.04698i | ||||
\(716\) | −0.832371 | + | 0.698442i | −0.0311072 | + | 0.0261020i | ||||
\(717\) | 7.85176 | − | 2.85781i | 0.293229 | − | 0.106727i | ||||
\(718\) | 1.01607 | + | 5.76244i | 0.0379195 | + | 0.215052i | ||||
\(719\) | −5.87287 | + | 2.13755i | −0.219021 | + | 0.0797172i | −0.449200 | − | 0.893431i | \(-0.648291\pi\) |
0.230179 | + | 0.973148i | \(0.426069\pi\) | |||||||
\(720\) | −0.930796 | + | 0.338782i | −0.0346887 | + | 0.0126257i | ||||
\(721\) | −1.77296 | − | 2.51509i | −0.0660285 | − | 0.0936669i | ||||
\(722\) | 17.3017 | − | 7.85173i | 0.643904 | − | 0.292211i | ||||
\(723\) | −0.350530 | − | 0.607136i | −0.0130363 | − | 0.0225796i | ||||
\(724\) | −4.42628 | + | 25.1027i | −0.164501 | + | 0.932934i | ||||
\(725\) | −16.5846 | − | 13.9162i | −0.615938 | − | 0.516834i | ||||
\(726\) | −13.5702 | − | 4.93915i | −0.503637 | − | 0.183309i | ||||
\(727\) | −0.699346 | − | 0.586821i | −0.0259373 | − | 0.0217640i | 0.629727 | − | 0.776817i | \(-0.283167\pi\) |
−0.655664 | + | 0.755053i | \(0.727611\pi\) | |||||||
\(728\) | −4.48294 | − | 16.5215i | −0.166149 | − | 0.612326i | ||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 7.74268 | 0.286570 | ||||||||
\(731\) | −23.5385 | + | 19.7512i | −0.870603 | + | 0.730523i | ||||
\(732\) | 3.78576 | − | 3.17663i | 0.139926 | − | 0.117412i | ||||
\(733\) | 7.37537 | 0.272415 | 0.136208 | − | 0.990680i | \(-0.456509\pi\) | ||||
0.136208 | + | 0.990680i | \(0.456509\pi\) | |||||||
\(734\) | 16.1089 | + | 27.9015i | 0.594591 | + | 1.02986i | ||||
\(735\) | −2.41262 | − | 6.50045i | −0.0889908 | − | 0.239773i | ||||
\(736\) | −4.08441 | − | 3.42722i | −0.150553 | − | 0.126329i | ||||
\(737\) | −6.29297 | − | 2.29045i | −0.231804 | − | 0.0843699i | ||||
\(738\) | −7.42567 | − | 6.23087i | −0.273343 | − | 0.229362i | ||||
\(739\) | 1.78190 | − | 10.1057i | 0.0655482 | − | 0.371743i | −0.934334 | − | 0.356399i | \(-0.884005\pi\) |
0.999882 | − | 0.0153440i | \(-0.00488435\pi\) | |||||||
\(740\) | 4.21930 | + | 7.30805i | 0.155105 | + | 0.268649i | ||||
\(741\) | −28.1826 | + | 1.08491i | −1.03531 | + | 0.0398551i | ||||
\(742\) | −21.1502 | + | 1.91779i | −0.776447 | + | 0.0704042i | ||||
\(743\) | −20.2823 | + | 7.38217i | −0.744087 | + | 0.270826i | −0.686115 | − | 0.727493i | \(-0.740686\pi\) |
−0.0579717 | + | 0.998318i | \(0.518463\pi\) | |||||||
\(744\) | −10.0805 | + | 3.66899i | −0.369568 | + | 0.134512i | ||||
\(745\) | 1.18401 | + | 6.71485i | 0.0433787 | + | 0.246013i | ||||
\(746\) | −19.9700 | + | 7.26848i | −0.731153 | + | 0.266118i | ||||
\(747\) | −4.80637 | + | 4.03303i | −0.175856 | + | 0.147561i | ||||
\(748\) | −10.4798 | − | 18.1516i | −0.383180 | − | 0.663687i | ||||
\(749\) | 1.00731 | − | 0.0913373i | 0.0368062 | − | 0.00333739i | ||||
\(750\) | 8.39471 | + | 3.05542i | 0.306531 | + | 0.111568i | ||||
\(751\) | 0.311928 | + | 1.76903i | 0.0113824 | + | 0.0645528i | 0.989970 | − | 0.141278i | \(-0.0451213\pi\) |
−0.978587 | + | 0.205831i | \(0.934010\pi\) | |||||||
\(752\) | −0.562191 | − | 0.973743i | −0.0205010 | − | 0.0355088i | ||||
\(753\) | 24.4345 | 0.890442 | ||||||||
\(754\) | −26.7012 | + | 22.4050i | −0.972401 | + | 0.815941i | ||||
\(755\) | −6.42617 | − | 5.39220i | −0.233872 | − | 0.196242i | ||||
\(756\) | −0.692846 | − | 2.55342i | −0.0251986 | − | 0.0928671i | ||||
\(757\) | −4.92890 | + | 27.9532i | −0.179144 | + | 1.01598i | 0.754107 | + | 0.656751i | \(0.228070\pi\) |
−0.933251 | + | 0.359225i | \(0.883041\pi\) | |||||||
\(758\) | 25.2678 | + | 21.2022i | 0.917767 | + | 0.770098i | ||||
\(759\) | −13.4466 | + | 23.2902i | −0.488081 | + | 0.845381i | ||||
\(760\) | −0.585630 | + | 4.27773i | −0.0212430 | + | 0.155170i | ||||
\(761\) | −3.95420 | − | 6.84887i | −0.143340 | − | 0.248271i | 0.785413 | − | 0.618972i | \(-0.212451\pi\) |
−0.928752 | + | 0.370701i | \(0.879117\pi\) | |||||||
\(762\) | −2.81692 | + | 1.02527i | −0.102046 | + | 0.0371418i | ||||
\(763\) | −2.06641 | − | 1.43720i | −0.0748091 | − | 0.0520303i | ||||
\(764\) | 7.21615 | − | 6.05507i | 0.261071 | − | 0.219065i | ||||
\(765\) | −0.714751 | + | 4.05355i | −0.0258419 | + | 0.146556i | ||||
\(766\) | −20.4418 | − | 7.44021i | −0.738593 | − | 0.268826i | ||||
\(767\) | −13.5392 | −0.488872 | ||||||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | 0.365428 | + | 0.133005i | 0.0131777 | + | 0.00479629i | 0.348601 | − | 0.937271i | \(-0.386657\pi\) |
−0.335423 | + | 0.942068i | \(0.608879\pi\) | |||||||
\(770\) | 3.46157 | + | 12.7573i | 0.124746 | + | 0.459742i | ||||
\(771\) | 4.76256 | − | 8.24899i | 0.171519 | − | 0.297080i | ||||
\(772\) | −8.06170 | + | 13.9633i | −0.290147 | + | 0.502549i | ||||
\(773\) | −9.76217 | − | 3.55314i | −0.351121 | − | 0.127797i | 0.160438 | − | 0.987046i | \(-0.448709\pi\) |
−0.511558 | + | 0.859248i | \(0.670932\pi\) | |||||||
\(774\) | 6.94857 | − | 2.52907i | 0.249761 | − | 0.0909056i | ||||
\(775\) | 40.5119 | + | 14.7451i | 1.45523 | + | 0.529660i | ||||
\(776\) | 0.0143749 | − | 0.0815243i | 0.000516030 | − | 0.00292655i | ||||
\(777\) | −20.3978 | + | 9.59027i | −0.731768 | + | 0.344049i | ||||
\(778\) | 14.3371 | 0.514009 | ||||||||
\(779\) | −39.1196 | + | 15.9680i | −1.40161 | + | 0.572114i | ||||
\(780\) | 3.20453 | − | 5.55042i | 0.114741 | − | 0.198737i | ||||
\(781\) | −6.34659 | + | 35.9933i | −0.227099 | + | 1.28794i | ||||
\(782\) | −20.8198 | + | 7.57778i | −0.744514 | + | 0.270981i | ||||
\(783\) | −4.12672 | + | 3.46273i | −0.147477 | + | 0.123748i | ||||
\(784\) | −0.0442544 | − | 6.99986i | −0.00158051 | − | 0.249995i | ||||
\(785\) | 1.70927 | + | 9.69373i | 0.0610063 | + | 0.345984i | ||||
\(786\) | 5.49894 | − | 9.52444i | 0.196141 | − | 0.339726i | ||||
\(787\) | −11.7909 | − | 20.4224i | −0.420299 | − | 0.727979i | 0.575669 | − | 0.817683i | \(-0.304742\pi\) |
−0.995969 | + | 0.0897031i | \(0.971408\pi\) | |||||||
\(788\) | −18.3545 | + | 15.4012i | −0.653851 | + | 0.548646i | ||||
\(789\) | −0.279660 | − | 1.58603i | −0.00995617 | − | 0.0564643i | ||||
\(790\) | −5.95524 | + | 10.3148i | −0.211878 | + | 0.366983i | ||||
\(791\) | 27.0882 | + | 38.4268i | 0.963145 | + | 1.36630i | ||||
\(792\) | 0.875867 | + | 4.96729i | 0.0311226 | + | 0.176505i | ||||
\(793\) | −5.55259 | + | 31.4903i | −0.197178 | + | 1.11825i | ||||
\(794\) | −0.0220688 | − | 0.125158i | −0.000783191 | − | 0.00444170i | ||||
\(795\) | −6.09068 | − | 5.11069i | −0.216014 | − | 0.181257i | ||||
\(796\) | −6.15908 | − | 5.16808i | −0.218303 | − | 0.183178i | ||||
\(797\) | −20.6407 | −0.731132 | −0.365566 | − | 0.930785i | \(-0.619125\pi\) | ||||
−0.365566 | + | 0.930785i | \(0.619125\pi\) | |||||||
\(798\) | −11.2542 | − | 2.51857i | −0.398394 | − | 0.0891563i | ||||
\(799\) | −4.67228 | −0.165293 | ||||||||
\(800\) | 3.07861 | + | 2.58326i | 0.108845 | + | 0.0913322i | ||||
\(801\) | 1.67953 | + | 1.40929i | 0.0593431 | + | 0.0497948i | ||||
\(802\) | −2.07723 | − | 11.7805i | −0.0733495 | − | 0.415985i | ||||
\(803\) | 6.84638 | − | 38.8277i | 0.241603 | − | 1.37020i | ||||
\(804\) | 0.230554 | + | 1.30753i | 0.00813100 | + | 0.0461132i | ||||
\(805\) | 13.9160 | − | 1.26183i | 0.490475 | − | 0.0444737i | ||||
\(806\) | 34.7049 | − | 60.1107i | 1.22243 | − | 2.11731i | ||||
\(807\) | 1.80555 | + | 10.2398i | 0.0635585 | + | 0.360458i | ||||
\(808\) | −1.26792 | + | 1.06391i | −0.0446054 | + | 0.0374283i | ||||
\(809\) | −13.7454 | − | 23.8077i | −0.483263 | − | 0.837035i | 0.516553 | − | 0.856255i | \(-0.327215\pi\) |
−0.999815 | + | 0.0192200i | \(0.993882\pi\) | |||||||
\(810\) | 0.495266 | − | 0.857827i | 0.0174019 | − | 0.0301410i | ||||
\(811\) | −0.350391 | − | 1.98716i | −0.0123039 | − | 0.0697788i | 0.978038 | − | 0.208429i | \(-0.0668349\pi\) |
−0.990341 | + | 0.138650i | \(0.955724\pi\) | |||||||
\(812\) | −12.8983 | + | 6.06429i | −0.452642 | + | 0.212815i | ||||
\(813\) | −3.39030 | + | 2.84480i | −0.118903 | + | 0.0997716i | ||||
\(814\) | 40.3790 | − | 14.6968i | 1.41528 | − | 0.515121i | ||||
\(815\) | −3.27070 | + | 18.5491i | −0.114568 | + | 0.649745i | ||||
\(816\) | −2.07771 | + | 3.59870i | −0.0727345 | + | 0.125980i | ||||
\(817\) | 4.37184 | − | 31.9341i | 0.152951 | − | 1.11723i | ||||
\(818\) | −26.9171 | −0.941134 | ||||||||
\(819\) | 14.0539 | + | 9.77460i | 0.491084 | + | 0.341552i | ||||
\(820\) | 1.66733 | − | 9.45588i | 0.0582256 | − | 0.330214i | ||||
\(821\) | 3.45943 | + | 1.25913i | 0.120735 | + | 0.0439439i | 0.401681 | − | 0.915780i | \(-0.368426\pi\) |
−0.280946 | + | 0.959724i | \(0.590648\pi\) | |||||||
\(822\) | −20.9800 | + | 7.63611i | −0.731763 | + | 0.266340i | ||||
\(823\) | 17.3493 | + | 6.31465i | 0.604760 | + | 0.220115i | 0.626209 | − | 0.779655i | \(-0.284606\pi\) |
−0.0214487 | + | 0.999770i | \(0.506828\pi\) | |||||||
\(824\) | 0.581534 | − | 1.00725i | 0.0202587 | − | 0.0350891i | ||||
\(825\) | 10.1354 | − | 17.5550i | 0.352868 | − | 0.611185i | ||||
\(826\) | −5.35211 | − | 1.41598i | −0.186224 | − | 0.0492681i | ||||
\(827\) | −15.3178 | − | 5.57524i | −0.532654 | − | 0.193870i | 0.0616692 | − | 0.998097i | \(-0.480358\pi\) |
−0.594323 | + | 0.804227i | \(0.702580\pi\) | |||||||
\(828\) | 5.33181 | 0.185293 | ||||||||
\(829\) | −39.0069 | −1.35477 | −0.677383 | − | 0.735630i | \(-0.736886\pi\) | ||||
−0.677383 | + | 0.735630i | \(0.736886\pi\) | |||||||
\(830\) | −5.84007 | − | 2.12561i | −0.202712 | − | 0.0737811i | ||||
\(831\) | 1.72434 | − | 9.77923i | 0.0598168 | − | 0.339238i | ||||
\(832\) | 4.95656 | − | 4.15904i | 0.171838 | − | 0.144189i | ||||
\(833\) | −25.2824 | − | 14.3844i | −0.875982 | − | 0.498391i | ||||
\(834\) | 7.99099 | − | 2.90848i | 0.276705 | − | 0.100712i | ||||
\(835\) | −4.97047 | − | 8.60911i | −0.172010 | − | 0.297931i | ||||
\(836\) | 20.9340 | + | 6.71933i | 0.724017 | + | 0.232393i | ||||
\(837\) | 5.36371 | − | 9.29022i | 0.185397 | − | 0.321117i | ||||
\(838\) | −3.68586 | − | 3.09280i | −0.127326 | − | 0.106839i | ||||
\(839\) | −3.44515 | + | 19.5384i | −0.118940 | + | 0.674540i | 0.865784 | + | 0.500417i | \(0.166820\pi\) |
−0.984724 | + | 0.174123i | \(0.944291\pi\) | |||||||
\(840\) | 1.84725 | − | 1.85897i | 0.0637362 | − | 0.0641404i | ||||
\(841\) | 0.0155511 | + | 0.0130489i | 0.000536245 | + | 0.000449963i | ||||
\(842\) | −23.4869 | + | 19.7079i | −0.809413 | + | 0.679178i | ||||
\(843\) | 30.2863 | 1.04312 | ||||||||
\(844\) | 3.61966 | + | 6.26943i | 0.124594 | + | 0.215803i | ||||
\(845\) | 4.96492 | + | 28.1574i | 0.170798 | + | 0.968646i | ||||
\(846\) | 1.05657 | + | 0.384561i | 0.0363257 | + | 0.0132215i | ||||
\(847\) | 38.0514 | − | 3.45031i | 1.30746 | − | 0.118554i | ||||
\(848\) | −4.01341 | − | 6.95142i | −0.137821 | − | 0.238713i | ||||
\(849\) | 13.6466 | − | 11.4509i | 0.468350 | − | 0.392992i | ||||
\(850\) | 15.6929 | − | 5.71174i | 0.538261 | − | 0.195911i | ||||
\(851\) | −7.88764 | − | 44.7330i | −0.270385 | − | 1.53343i | ||||
\(852\) | 6.80908 | − | 2.47830i | 0.233275 | − | 0.0849052i | ||||
\(853\) | 14.0839 | − | 5.12611i | 0.482222 | − | 0.175515i | −0.0894588 | − | 0.995991i | \(-0.528514\pi\) |
0.571681 | + | 0.820476i | \(0.306292\pi\) | |||||||
\(854\) | −5.48833 | + | 11.8676i | −0.187807 | + | 0.406099i | ||||
\(855\) | −2.30105 | − | 3.65337i | −0.0786944 | − | 0.124943i | ||||
\(856\) | 0.191144 | + | 0.331071i | 0.00653317 | + | 0.0113158i | ||||
\(857\) | 0.844723 | − | 4.79066i | 0.0288552 | − | 0.163646i | −0.966975 | − | 0.254871i | \(-0.917967\pi\) |
0.995830 | + | 0.0912248i | \(0.0290782\pi\) | |||||||
\(858\) | −25.0005 | − | 20.9779i | −0.853501 | − | 0.716173i | ||||
\(859\) | 14.3142 | + | 5.20995i | 0.488395 | + | 0.177761i | 0.574467 | − | 0.818528i | \(-0.305209\pi\) |
−0.0860721 | + | 0.996289i | \(0.527432\pi\) | |||||||
\(860\) | 5.61090 | + | 4.70810i | 0.191330 | + | 0.160545i | ||||
\(861\) | 24.7936 | + | 6.55950i | 0.844964 | + | 0.223547i | ||||
\(862\) | 2.64245 | + | 4.57686i | 0.0900023 | + | 0.155889i | ||||
\(863\) | −14.7856 | −0.503308 | −0.251654 | − | 0.967817i | \(-0.580974\pi\) | ||||
−0.251654 | + | 0.967817i | \(0.580974\pi\) | |||||||
\(864\) | 0.766044 | − | 0.642788i | 0.0260614 | − | 0.0218681i | ||||
\(865\) | −4.29760 | + | 3.60611i | −0.146123 | + | 0.122611i | ||||
\(866\) | 28.9707 | 0.984464 | ||||||||
\(867\) | 0.133777 | + | 0.231708i | 0.00454330 | + | 0.00786922i | ||||
\(868\) | 20.0056 | − | 20.1325i | 0.679035 | − | 0.683342i | ||||
\(869\) | 46.4603 | + | 38.9848i | 1.57606 | + | 1.32247i | ||||
\(870\) | −5.01425 | − | 1.82504i | −0.169999 | − | 0.0618745i | ||||
\(871\) | −6.58085 | − | 5.52199i | −0.222984 | − | 0.187105i | ||||
\(872\) | 0.165202 | − | 0.936908i | 0.00559445 | − | 0.0317277i | ||||
\(873\) | 0.0413910 | + | 0.0716913i | 0.00140087 | + | 0.00242638i | ||||
\(874\) | 10.8376 | − | 20.5593i | 0.366587 | − | 0.695427i | ||||
\(875\) | −23.5391 | + | 2.13441i | −0.795768 | + | 0.0721561i | ||||
\(876\) | −7.34528 | + | 2.67346i | −0.248174 | + | 0.0903280i | ||||
\(877\) | −9.91817 | + | 3.60992i | −0.334913 | + | 0.121898i | −0.504002 | − | 0.863702i | \(-0.668140\pi\) |
0.169089 | + | 0.985601i | \(0.445917\pi\) | |||||||
\(878\) | −2.34269 | − | 13.2860i | −0.0790619 | − | 0.448382i | ||||
\(879\) | −26.6828 | + | 9.71173i | −0.899988 | + | 0.327569i | ||||
\(880\) | −3.82728 | + | 3.21147i | −0.129018 | + | 0.108259i | ||||
\(881\) | 10.0448 | + | 17.3981i | 0.338418 | + | 0.586157i | 0.984135 | − | 0.177420i | \(-0.0567750\pi\) |
−0.645718 | + | 0.763576i | \(0.723442\pi\) | |||||||
\(882\) | 4.53332 | + | 5.33376i | 0.152645 | + | 0.179597i | ||||
\(883\) | 7.22844 | + | 2.63094i | 0.243256 | + | 0.0885381i | 0.460771 | − | 0.887519i | \(-0.347573\pi\) |
−0.217515 | + | 0.976057i | \(0.569795\pi\) | |||||||
\(884\) | −4.66887 | − | 26.4785i | −0.157031 | − | 0.890567i | ||||
\(885\) | −1.03635 | − | 1.79501i | −0.0348365 | − | 0.0603385i | ||||
\(886\) | −37.3092 | −1.25343 | ||||||||
\(887\) | −6.43578 | + | 5.40026i | −0.216092 | + | 0.181323i | −0.744408 | − | 0.667725i | \(-0.767268\pi\) |
0.528316 | + | 0.849048i | \(0.322824\pi\) | |||||||
\(888\) | −6.52613 | − | 5.47607i | −0.219003 | − | 0.183765i | ||||
\(889\) | 5.59043 | − | 5.62589i | 0.187497 | − | 0.188686i | ||||
\(890\) | −0.377113 | + | 2.13871i | −0.0126409 | + | 0.0716899i | ||||
\(891\) | −3.86386 | − | 3.24217i | −0.129444 | − | 0.108617i | ||||
\(892\) | −4.13050 | + | 7.15424i | −0.138300 | + | 0.239542i | ||||
\(893\) | 3.63047 | − | 3.29244i | 0.121489 | − | 0.110177i | ||||
\(894\) | −3.44180 | − | 5.96138i | −0.115111 | − | 0.199378i | ||||
\(895\) | 1.01139 | − | 0.368115i | 0.0338070 | − | 0.0123047i | ||||
\(896\) | 2.39432 | − | 1.12572i | 0.0799886 | − | 0.0376076i | ||||
\(897\) | −26.4274 | + | 22.1752i | −0.882386 | + | 0.740410i | ||||
\(898\) | 2.30945 | − | 13.0975i | 0.0770673 | − | 0.437071i | ||||
\(899\) | −54.3040 | − | 19.7650i | −1.81114 | − | 0.659201i | ||||
\(900\) | −4.01884 | −0.133961 | ||||||||
\(901\) | −33.3548 | −1.11121 | ||||||||
\(902\) | −45.9447 | − | 16.7225i | −1.52979 | − | 0.556798i | ||||
\(903\) | −13.7901 | + | 13.8775i | −0.458905 | + | 0.461815i | ||||
\(904\) | −8.88496 | + | 15.3892i | −0.295510 | + | 0.511838i | ||||
\(905\) | 12.6243 | − | 21.8659i | 0.419646 | − | 0.726848i | ||||
\(906\) | 7.95821 | + | 2.89655i | 0.264394 | + | 0.0962315i | ||||
\(907\) | 36.4499 | − | 13.2667i | 1.21030 | − | 0.440513i | 0.343491 | − | 0.939156i | \(-0.388390\pi\) |
0.866807 | + | 0.498643i | \(0.166168\pi\) | |||||||
\(908\) | 26.0827 | + | 9.49333i | 0.865585 | + | 0.315047i | ||||
\(909\) | 0.287415 | − | 1.63001i | 0.00953295 | − | 0.0540640i | ||||
\(910\) | −1.42448 | + | 16.8969i | −0.0472210 | + | 0.560126i | ||||
\(911\) | 29.2972 | 0.970660 | 0.485330 | − | 0.874331i | \(-0.338699\pi\) | ||||
0.485330 | + | 0.874331i | \(0.338699\pi\) | |||||||
\(912\) | −0.921482 | − | 4.26038i | −0.0305133 | − | 0.141075i | ||||
\(913\) | −15.8235 | + | 27.4070i | −0.523680 | + | 0.907041i | ||||
\(914\) | −5.05025 | + | 28.6414i | −0.167047 | + | 0.947373i | ||||
\(915\) | −4.59996 | + | 1.67425i | −0.152070 | + | 0.0553489i | ||||
\(916\) | −9.31318 | + | 7.81468i | −0.307716 | + | 0.258204i | ||||
\(917\) | −2.44439 | + | 28.9948i | −0.0807207 | + | 0.957493i | ||||
\(918\) | −0.721582 | − | 4.09229i | −0.0238158 | − | 0.135066i | ||||
\(919\) | 9.45044 | − | 16.3686i | 0.311741 | − | 0.539952i | −0.666998 | − | 0.745059i | \(-0.732421\pi\) |
0.978739 | + | 0.205108i | \(0.0657545\pi\) | |||||||
\(920\) | 2.64067 | + | 4.57377i | 0.0870603 | + | 0.150793i | ||||
\(921\) | 15.6613 | − | 13.1414i | 0.516058 | − | 0.433024i | ||||
\(922\) | −5.96424 | − | 33.8249i | −0.196422 | − | 1.11396i | ||||
\(923\) | −23.4422 | + | 40.6031i | −0.771609 | + | 1.33647i | ||||
\(924\) | −7.68887 | − | 10.9073i | −0.252945 | − | 0.358824i | ||||
\(925\) | 5.94529 | + | 33.7174i | 0.195480 | + | 1.10862i | ||||
\(926\) | −2.30614 | + | 13.0788i | −0.0757844 | + | 0.429795i | ||||
\(927\) | 0.201965 | + | 1.14540i | 0.00663339 | + | 0.0376198i | ||||
\(928\) | −4.12672 | − | 3.46273i | −0.135466 | − | 0.113670i | ||||
\(929\) | −11.3075 | − | 9.48816i | −0.370988 | − | 0.311296i | 0.438164 | − | 0.898895i | \(-0.355629\pi\) |
−0.809152 | + | 0.587599i | \(0.800073\pi\) | |||||||
\(930\) | 10.6259 | 0.348436 | ||||||||
\(931\) | 29.7813 | − | 6.63878i | 0.976043 | − | 0.217577i | ||||
\(932\) | −11.7513 | −0.384926 | ||||||||
\(933\) | −2.12599 | − | 1.78392i | −0.0696017 | − | 0.0584028i | ||||
\(934\) | −6.47889 | − | 5.43643i | −0.211996 | − | 0.177886i | ||||
\(935\) | 3.60514 | + | 20.4458i | 0.117901 | + | 0.668648i | ||||
\(936\) | −1.12356 | + | 6.37203i | −0.0367247 | + | 0.208276i | ||||
\(937\) | −7.78241 | − | 44.1362i | −0.254240 | − | 1.44187i | −0.798016 | − | 0.602637i | \(-0.794117\pi\) |
0.543776 | − | 0.839231i | \(-0.316994\pi\) | |||||||
\(938\) | −2.02393 | − | 2.87112i | −0.0660838 | − | 0.0937453i | ||||
\(939\) | −17.5856 | + | 30.4591i | −0.573884 | + | 0.993997i | ||||
\(940\) | 0.193398 | + | 1.09682i | 0.00630796 | + | 0.0357742i | ||||
\(941\) | 37.2863 | − | 31.2869i | 1.21550 | − | 1.01992i | 0.216451 | − | 0.976294i | \(-0.430552\pi\) |
0.999048 | − | 0.0436307i | \(-0.0138925\pi\) | |||||||
\(942\) | −4.96867 | − | 8.60599i | −0.161888 | − | 0.280398i | ||||
\(943\) | −25.8420 | + | 44.7597i | −0.841532 | + | 1.45758i | ||||
\(944\) | −0.363360 | − | 2.06072i | −0.0118264 | − | 0.0670706i | ||||
\(945\) | −0.220156 | + | 2.61144i | −0.00716166 | + | 0.0849501i | ||||
\(946\) | 28.5714 | − | 23.9742i | 0.928936 | − | 0.779470i | ||||
\(947\) | 12.8222 | − | 4.66690i | 0.416665 | − | 0.151654i | −0.125176 | − | 0.992135i | \(-0.539950\pi\) |
0.541841 | + | 0.840481i | \(0.317727\pi\) | |||||||
\(948\) | 2.08800 | − | 11.8416i | 0.0678151 | − | 0.384599i | ||||
\(949\) | 25.2882 | − | 43.8005i | 0.820891 | − | 1.42183i | ||||
\(950\) | −8.16881 | + | 15.4965i | −0.265031 | + | 0.502773i | ||||
\(951\) | −6.76197 | −0.219272 | ||||||||
\(952\) | 0.923584 | − | 10.9554i | 0.0299335 | − | 0.355065i | ||||
\(953\) | 6.36555 | − | 36.1009i | 0.206201 | − | 1.16942i | −0.689339 | − | 0.724439i | \(-0.742099\pi\) |
0.895539 | − | 0.444982i | \(-0.146790\pi\) | |||||||
\(954\) | 7.54274 | + | 2.74533i | 0.244205 | + | 0.0888834i | ||||
\(955\) | −8.76811 | + | 3.19133i | −0.283729 | + | 0.103269i | ||||
\(956\) | −7.85176 | − | 2.85781i | −0.253944 | − | 0.0924280i | ||||
\(957\) | −13.5859 | + | 23.5315i | −0.439170 | + | 0.760665i | ||||
\(958\) | −11.0442 | + | 19.1291i | −0.356822 | + | 0.618035i | ||||
\(959\) | 41.6368 | − | 41.9009i | 1.34452 | − | 1.35305i | ||||
\(960\) | 0.930796 | + | 0.338782i | 0.0300413 | + | 0.0109341i | ||||
\(961\) | 84.0775 | 2.71218 | ||||||||
\(962\) | 55.1224 | 1.77722 | ||||||||
\(963\) | −0.359233 | − | 0.130750i | −0.0115761 | − | 0.00421337i | ||||
\(964\) | −0.121738 | + | 0.690409i | −0.00392091 | + | 0.0222366i | ||||
\(965\) | 12.2343 | − | 10.2658i | 0.393836 | − | 0.330468i | ||||
\(966\) | −12.7661 | + | 6.00211i | −0.410741 | + | 0.193115i | ||||
\(967\) | −38.7224 | + | 14.0938i | −1.24523 | + | 0.453227i | −0.878787 | − | 0.477214i | \(-0.841647\pi\) |
−0.366443 | + | 0.930441i | \(0.619424\pi\) | |||||||
\(968\) | 7.22055 | + | 12.5064i | 0.232077 | + | 0.401970i | ||||
\(969\) | −17.2464 | − | 5.53571i | −0.554035 | − | 0.177833i | ||||
\(970\) | −0.0409991 | + | 0.0710126i | −0.00131640 | + | 0.00228008i | ||||
\(971\) | 36.0767 | + | 30.2719i | 1.15776 | + | 0.971472i | 0.999872 | − | 0.0159860i | \(-0.00508872\pi\) |
0.157883 | + | 0.987458i | \(0.449533\pi\) | |||||||
\(972\) | −0.173648 | + | 0.984808i | −0.00556977 | + | 0.0315877i | ||||
\(973\) | −15.8588 | + | 15.9594i | −0.508411 | + | 0.511636i | ||||
\(974\) | 1.21552 | + | 1.01994i | 0.0389478 | + | 0.0326811i | ||||
\(975\) | 19.9196 | − | 16.7146i | 0.637939 | − | 0.535294i | ||||
\(976\) | −4.94196 | −0.158188 | ||||||||
\(977\) | −23.6733 | − | 41.0034i | −0.757377 | − | 1.31182i | −0.944184 | − | 0.329419i | \(-0.893147\pi\) |
0.186807 | − | 0.982397i | \(-0.440186\pi\) | |||||||
\(978\) | −3.30196 | − | 18.7263i | −0.105585 | − | 0.598802i | ||||
\(979\) | 10.3917 | + | 3.78227i | 0.332120 | + | 0.120882i | ||||
\(980\) | −2.33024 | + | 6.53044i | −0.0744367 | + | 0.208607i | ||||
\(981\) | 0.475680 | + | 0.823903i | 0.0151873 | + | 0.0263052i | ||||
\(982\) | −12.2538 | + | 10.2822i | −0.391035 | + | 0.328118i | ||||
\(983\) | 11.0523 | − | 4.02272i | 0.352515 | − | 0.128305i | −0.159692 | − | 0.987167i | \(-0.551050\pi\) |
0.512207 | + | 0.858862i | \(0.328828\pi\) | |||||||
\(984\) | 1.68326 | + | 9.54625i | 0.0536604 | + | 0.304323i | ||||
\(985\) | 22.3019 | − | 8.11724i | 0.710599 | − | 0.258637i | ||||
\(986\) | −21.0355 | + | 7.65628i | −0.669906 | + | 0.243826i | ||||
\(987\) | −2.96268 | + | 0.268640i | −0.0943031 | + | 0.00855092i | ||||
\(988\) | 22.2865 | + | 17.2843i | 0.709028 | + | 0.549888i | ||||
\(989\) | −19.7131 | − | 34.1441i | −0.626839 | − | 1.08572i | ||||
\(990\) | 0.867575 | − | 4.92026i | 0.0275733 | − | 0.156376i | ||||
\(991\) | −6.93364 | − | 5.81801i | −0.220254 | − | 0.184815i | 0.525984 | − | 0.850495i | \(-0.323697\pi\) |
−0.746238 | + | 0.665680i | \(0.768142\pi\) | |||||||
\(992\) | 10.0805 | + | 3.66899i | 0.320055 | + | 0.116491i | ||||
\(993\) | 1.78451 | + | 1.49738i | 0.0566297 | + | 0.0475179i | ||||
\(994\) | −13.5132 | + | 13.5989i | −0.428614 | + | 0.431332i | ||||
\(995\) | 3.98199 | + | 6.89702i | 0.126238 | + | 0.218650i | ||||
\(996\) | 6.27427 | 0.198808 | ||||||||
\(997\) | 7.47386 | − | 6.27132i | 0.236700 | − | 0.198615i | −0.516720 | − | 0.856154i | \(-0.672847\pi\) |
0.753420 | + | 0.657540i | \(0.228403\pi\) | |||||||
\(998\) | −7.88354 | + | 6.61508i | −0.249549 | + | 0.209397i | ||||
\(999\) | 8.51926 | 0.269537 |
(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 | 798.2.bp.e.613.5 | yes | 42 | |
7.2 | even | 3 | 798.2.bq.f.499.3 | yes | 42 | ||
19.4 | even | 9 | 798.2.bq.f.403.3 | yes | 42 | ||
133.23 | even | 9 | inner | 798.2.bp.e.289.5 | ✓ | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
798.2.bp.e.289.5 | ✓ | 42 | 133.23 | even | 9 | inner | |
798.2.bp.e.613.5 | yes | 42 | 1.1 | even | 1 | trivial | |
798.2.bq.f.403.3 | yes | 42 | 19.4 | even | 9 | ||
798.2.bq.f.499.3 | yes | 42 | 7.2 | even | 3 |