Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,3,Mod(5,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([15, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.z (of order \(18\), 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: | \(4.65941252056\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.20 | ||
Character | \(\chi\) | \(=\) | 171.101 |
Dual form | 171.3.z.a.149.20 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0813552 | + | 0.0143451i | −0.0406776 | + | 0.00717256i | −0.193950 | − | 0.981011i | \(-0.562130\pi\) |
0.153272 | + | 0.988184i | \(0.451019\pi\) | |||||||
\(3\) | −2.99886 | + | 0.0828090i | −0.999619 | + | 0.0276030i | ||||
\(4\) | −3.75236 | + | 1.36575i | −0.938089 | + | 0.341437i | ||||
\(5\) | 2.22603 | + | 2.65288i | 0.445207 | + | 0.530577i | 0.941245 | − | 0.337724i | \(-0.109657\pi\) |
−0.496038 | + | 0.868301i | \(0.665212\pi\) | |||||||
\(6\) | 0.242785 | − | 0.0497559i | 0.0404641 | − | 0.00829265i | ||||
\(7\) | 0.0220072 | + | 0.0381176i | 0.00314389 | + | 0.00544538i | 0.867593 | − | 0.497275i | \(-0.165666\pi\) |
−0.864449 | + | 0.502720i | \(0.832333\pi\) | |||||||
\(8\) | 0.571852 | − | 0.330159i | 0.0714815 | − | 0.0412699i | ||||
\(9\) | 8.98629 | − | 0.496664i | 0.998476 | − | 0.0551849i | ||||
\(10\) | −0.219155 | − | 0.183893i | −0.0219155 | − | 0.0183893i | ||||
\(11\) | − | 11.7619i | − | 1.06926i | −0.845086 | − | 0.534630i | \(-0.820451\pi\) | ||
0.845086 | − | 0.534630i | \(-0.179549\pi\) | |||||||
\(12\) | 11.1397 | − | 4.40641i | 0.928307 | − | 0.367201i | ||||
\(13\) | −15.9886 | − | 13.4160i | −1.22989 | − | 1.03200i | −0.998246 | − | 0.0591997i | \(-0.981145\pi\) |
−0.231644 | − | 0.972801i | \(-0.574410\pi\) | |||||||
\(14\) | −0.00233720 | − | 0.00278537i | −0.000166943 | − | 0.000198955i | ||||
\(15\) | −6.89524 | − | 7.77129i | −0.459683 | − | 0.518086i | ||||
\(16\) | 12.1940 | − | 10.2320i | 0.762126 | − | 0.639499i | ||||
\(17\) | −13.8561 | − | 16.5131i | −0.815066 | − | 0.971358i | 0.184869 | − | 0.982763i | \(-0.440814\pi\) |
−0.999935 | + | 0.0114055i | \(0.996369\pi\) | |||||||
\(18\) | −0.723956 | + | 0.169316i | −0.0402198 | + | 0.00940642i | ||||
\(19\) | 18.9551 | + | 1.30543i | 0.997637 | + | 0.0687068i | ||||
\(20\) | −11.9760 | − | 6.91437i | −0.598802 | − | 0.345719i | ||||
\(21\) | −0.0691530 | − | 0.112487i | −0.00329300 | − | 0.00535652i | ||||
\(22\) | 0.168725 | + | 0.956889i | 0.00766934 | + | 0.0434950i | ||||
\(23\) | 4.89066 | + | 13.4370i | 0.212638 | + | 0.584217i | 0.999456 | − | 0.0329670i | \(-0.0104956\pi\) |
−0.786819 | + | 0.617184i | \(0.788273\pi\) | |||||||
\(24\) | −1.68756 | + | 1.03745i | −0.0703151 | + | 0.0432273i | ||||
\(25\) | 2.25864 | − | 12.8094i | 0.0903455 | − | 0.512375i | ||||
\(26\) | 1.49321 | + | 0.862104i | 0.0574311 | + | 0.0331578i | ||||
\(27\) | −26.9075 | + | 2.23357i | −0.996572 | + | 0.0827248i | ||||
\(28\) | −0.134638 | − | 0.112975i | −0.00480850 | − | 0.00403481i | ||||
\(29\) | −3.51262 | − | 9.65086i | −0.121125 | − | 0.332788i | 0.864281 | − | 0.503010i | \(-0.167774\pi\) |
−0.985406 | + | 0.170221i | \(0.945552\pi\) | |||||||
\(30\) | 0.672444 | + | 0.533321i | 0.0224148 | + | 0.0177774i | ||||
\(31\) | 23.9072 | 0.771201 | 0.385600 | − | 0.922666i | \(-0.373994\pi\) | ||||
0.385600 | + | 0.922666i | \(0.373994\pi\) | |||||||
\(32\) | −2.54304 | + | 3.03068i | −0.0794701 | + | 0.0947088i | ||||
\(33\) | 0.973988 | + | 35.2722i | 0.0295148 | + | 1.06885i | ||||
\(34\) | 1.36415 | + | 1.14466i | 0.0401220 | + | 0.0336664i | ||||
\(35\) | −0.0521328 | + | 0.143234i | −0.00148951 | + | 0.00409239i | ||||
\(36\) | −33.0414 | + | 14.1367i | −0.917818 | + | 0.392685i | ||||
\(37\) | 17.0672 | 0.461275 | 0.230638 | − | 0.973040i | \(-0.425919\pi\) | ||||
0.230638 | + | 0.973040i | \(0.425919\pi\) | |||||||
\(38\) | −1.56082 | + | 0.165710i | −0.0410743 | + | 0.00436078i | ||||
\(39\) | 49.0584 | + | 38.9087i | 1.25791 | + | 0.997658i | ||||
\(40\) | 2.14884 | + | 0.782113i | 0.0537209 | + | 0.0195528i | ||||
\(41\) | −67.8256 | + | 11.9595i | −1.65428 | + | 0.291695i | −0.921387 | − | 0.388645i | \(-0.872943\pi\) |
−0.732896 | + | 0.680340i | \(0.761832\pi\) | |||||||
\(42\) | 0.00723959 | + | 0.00815939i | 0.000172371 | + | 0.000194271i | ||||
\(43\) | 21.2979 | + | 7.75181i | 0.495300 | + | 0.180275i | 0.577579 | − | 0.816335i | \(-0.303998\pi\) |
−0.0822788 | + | 0.996609i | \(0.526220\pi\) | |||||||
\(44\) | 16.0637 | + | 44.1347i | 0.365085 | + | 1.00306i | ||||
\(45\) | 21.3214 | + | 22.7340i | 0.473808 | + | 0.505200i | ||||
\(46\) | −0.590636 | − | 1.02301i | −0.0128399 | − | 0.0222394i | ||||
\(47\) | −17.5583 | − | 48.2412i | −0.373582 | − | 1.02641i | −0.973966 | − | 0.226696i | \(-0.927208\pi\) |
0.600384 | − | 0.799712i | \(-0.295015\pi\) | |||||||
\(48\) | −35.7208 | + | 31.6941i | −0.744183 | + | 0.660293i | ||||
\(49\) | 24.4990 | − | 42.4336i | 0.499980 | − | 0.865991i | ||||
\(50\) | 1.07451i | 0.0214902i | ||||||||
\(51\) | 42.9199 | + | 48.3730i | 0.841568 | + | 0.948489i | ||||
\(52\) | 78.3177 | + | 28.5053i | 1.50611 | + | 0.548179i | ||||
\(53\) | −74.6852 | − | 13.1690i | −1.40915 | − | 0.248472i | −0.583255 | − | 0.812289i | \(-0.698221\pi\) |
−0.825900 | + | 0.563817i | \(0.809332\pi\) | |||||||
\(54\) | 2.15702 | − | 0.567703i | 0.0399448 | − | 0.0105130i | ||||
\(55\) | 31.2029 | − | 26.1823i | 0.567325 | − | 0.476042i | ||||
\(56\) | 0.0251698 | + | 0.0145318i | 0.000449460 | + | 0.000259496i | ||||
\(57\) | −56.9517 | − | 2.34514i | −0.999153 | − | 0.0411429i | ||||
\(58\) | 0.424213 | + | 0.734758i | 0.00731402 | + | 0.0126682i | ||||
\(59\) | 8.00985 | − | 22.0069i | 0.135760 | − | 0.372998i | −0.853120 | − | 0.521715i | \(-0.825292\pi\) |
0.988880 | + | 0.148718i | \(0.0475145\pi\) | |||||||
\(60\) | 36.4870 | + | 19.7435i | 0.608117 | + | 0.329058i | ||||
\(61\) | −79.1954 | − | 66.4528i | −1.29829 | − | 1.08939i | −0.990439 | − | 0.137955i | \(-0.955947\pi\) |
−0.307847 | − | 0.951436i | \(-0.599608\pi\) | |||||||
\(62\) | −1.94498 | + | 0.342952i | −0.0313706 | + | 0.00553148i | ||||
\(63\) | 0.216695 | + | 0.331606i | 0.00343960 | + | 0.00526358i | ||||
\(64\) | −31.6729 | + | 54.8591i | −0.494889 | + | 0.857173i | ||||
\(65\) | − | 72.2803i | − | 1.11200i | ||||||
\(66\) | −0.585222 | − | 2.85560i | −0.00886700 | − | 0.0432667i | ||||
\(67\) | −17.4126 | + | 98.7519i | −0.259890 | + | 1.47391i | 0.523312 | + | 0.852141i | \(0.324696\pi\) |
−0.783202 | + | 0.621768i | \(0.786415\pi\) | |||||||
\(68\) | 74.5458 | + | 43.0390i | 1.09626 | + | 0.632927i | ||||
\(69\) | −15.7791 | − | 39.8906i | −0.228683 | − | 0.578125i | ||||
\(70\) | 0.00218657 | − | 0.0124007i | 3.12367e−5 | − | 0.000177152i | ||||
\(71\) | −26.6257 | + | 4.69483i | −0.375010 | + | 0.0661243i | −0.357976 | − | 0.933731i | \(-0.616533\pi\) |
−0.0170332 | + | 0.999855i | \(0.505422\pi\) | |||||||
\(72\) | 4.97485 | − | 3.25092i | 0.0690951 | − | 0.0451517i | ||||
\(73\) | 13.6125 | + | 4.95454i | 0.186473 | + | 0.0678705i | 0.433569 | − | 0.901121i | \(-0.357254\pi\) |
−0.247096 | + | 0.968991i | \(0.579476\pi\) | |||||||
\(74\) | −1.38850 | + | 0.244831i | −0.0187636 | + | 0.00330852i | ||||
\(75\) | −5.71260 | + | 38.6005i | −0.0761680 | + | 0.514673i | ||||
\(76\) | −72.9092 | + | 20.9894i | −0.959332 | + | 0.276177i | ||||
\(77\) | 0.448335 | − | 0.258846i | 0.00582253 | − | 0.00336164i | ||||
\(78\) | −4.54931 | − | 2.46167i | −0.0583244 | − | 0.0315599i | ||||
\(79\) | 11.2958 | − | 9.47831i | 0.142985 | − | 0.119979i | −0.568490 | − | 0.822690i | \(-0.692472\pi\) |
0.711475 | + | 0.702712i | \(0.248028\pi\) | |||||||
\(80\) | 54.2886 | + | 9.57254i | 0.678607 | + | 0.119657i | ||||
\(81\) | 80.5066 | − | 8.92634i | 0.993909 | − | 0.110202i | ||||
\(82\) | 5.34641 | − | 1.94593i | 0.0652001 | − | 0.0237309i | ||||
\(83\) | −20.4151 | + | 11.7867i | −0.245966 | + | 0.142008i | −0.617916 | − | 0.786245i | \(-0.712023\pi\) |
0.371950 | + | 0.928253i | \(0.378689\pi\) | |||||||
\(84\) | 0.413115 | + | 0.327646i | 0.00491804 | + | 0.00390054i | ||||
\(85\) | 12.9631 | − | 73.5174i | 0.152507 | − | 0.864910i | ||||
\(86\) | −1.84390 | − | 0.325129i | −0.0214407 | − | 0.00378057i | ||||
\(87\) | 11.3330 | + | 28.6507i | 0.130265 | + | 0.329318i | ||||
\(88\) | −3.88329 | − | 6.72605i | −0.0441283 | − | 0.0764324i | ||||
\(89\) | 45.4505 | + | 124.874i | 0.510680 | + | 1.40308i | 0.880530 | + | 0.473990i | \(0.157187\pi\) |
−0.369851 | + | 0.929091i | \(0.620591\pi\) | |||||||
\(90\) | −2.06073 | − | 1.54367i | −0.0228970 | − | 0.0171519i | ||||
\(91\) | 0.159522 | − | 0.904695i | 0.00175299 | − | 0.00994171i | ||||
\(92\) | −36.7030 | − | 43.7410i | −0.398946 | − | 0.475446i | ||||
\(93\) | −71.6943 | + | 1.97973i | −0.770907 | + | 0.0212874i | ||||
\(94\) | 2.12049 | + | 3.67279i | 0.0225584 | + | 0.0390723i | ||||
\(95\) | 38.7316 | + | 53.1916i | 0.407701 | + | 0.559912i | ||||
\(96\) | 7.37526 | − | 9.29917i | 0.0768256 | − | 0.0968663i | ||||
\(97\) | −5.95791 | − | 33.7890i | −0.0614218 | − | 0.348340i | −0.999995 | − | 0.00325929i | \(-0.998963\pi\) |
0.938573 | − | 0.345081i | \(-0.112149\pi\) | |||||||
\(98\) | −1.38441 | + | 3.80363i | −0.0141266 | + | 0.0388126i | ||||
\(99\) | −5.84170 | − | 105.696i | −0.0590071 | − | 1.06763i | ||||
\(100\) | 9.01914 | + | 51.1501i | 0.0901914 | + | 0.511501i | ||||
\(101\) | −58.2444 | − | 10.2701i | −0.576677 | − | 0.101684i | −0.122300 | − | 0.992493i | \(-0.539027\pi\) |
−0.454377 | + | 0.890809i | \(0.650138\pi\) | |||||||
\(102\) | −4.18568 | − | 3.31970i | −0.0410360 | − | 0.0325461i | ||||
\(103\) | 47.4208 | − | 82.1353i | 0.460397 | − | 0.797430i | −0.538584 | − | 0.842572i | \(-0.681041\pi\) |
0.998981 | + | 0.0451415i | \(0.0143739\pi\) | |||||||
\(104\) | −13.5725 | − | 2.39320i | −0.130505 | − | 0.0230115i | ||||
\(105\) | 0.144478 | − | 0.433855i | 0.00137598 | − | 0.00413195i | ||||
\(106\) | 6.26494 | 0.0591032 | ||||||||
\(107\) | −113.906 | − | 65.7637i | −1.06454 | − | 0.614614i | −0.137858 | − | 0.990452i | \(-0.544022\pi\) |
−0.926685 | + | 0.375838i | \(0.877355\pi\) | |||||||
\(108\) | 97.9159 | − | 45.1299i | 0.906629 | − | 0.417870i | ||||
\(109\) | −12.5460 | − | 71.1520i | −0.115101 | − | 0.652770i | −0.986700 | − | 0.162551i | \(-0.948028\pi\) |
0.871599 | − | 0.490219i | \(-0.163083\pi\) | |||||||
\(110\) | −2.16293 | + | 2.57768i | −0.0196630 | + | 0.0234334i | ||||
\(111\) | −51.1820 | + | 1.41332i | −0.461099 | + | 0.0127326i | ||||
\(112\) | 0.658376 | + | 0.239629i | 0.00587835 | + | 0.00213955i | ||||
\(113\) | 163.590 | − | 94.4490i | 1.44770 | − | 0.835832i | 0.449359 | − | 0.893351i | \(-0.351652\pi\) |
0.998344 | + | 0.0575192i | \(0.0183190\pi\) | |||||||
\(114\) | 4.66696 | − | 0.626190i | 0.0409383 | − | 0.00549289i | ||||
\(115\) | −24.7600 | + | 42.8856i | −0.215304 | + | 0.372918i | ||||
\(116\) | 26.3612 | + | 31.4161i | 0.227252 | + | 0.270829i | ||||
\(117\) | −150.341 | − | 112.619i | −1.28497 | − | 0.962556i | ||||
\(118\) | −0.335952 | + | 1.90528i | −0.00284705 | + | 0.0161464i | ||||
\(119\) | 0.324505 | − | 0.891569i | 0.00272693 | − | 0.00749218i | ||||
\(120\) | −6.50882 | − | 2.16750i | −0.0542402 | − | 0.0180625i | ||||
\(121\) | −17.3416 | −0.143319 | ||||||||
\(122\) | 7.39623 | + | 4.27022i | 0.0606248 | + | 0.0350018i | ||||
\(123\) | 202.409 | − | 41.4814i | 1.64560 | − | 0.337247i | ||||
\(124\) | −89.7084 | + | 32.6512i | −0.723455 | + | 0.263316i | ||||
\(125\) | 113.988 | − | 65.8109i | 0.911902 | − | 0.526487i | ||||
\(126\) | −0.0223862 | − | 0.0238693i | −0.000177668 | − | 0.000189439i | ||||
\(127\) | −97.7063 | + | 35.5622i | −0.769341 | + | 0.280017i | −0.696721 | − | 0.717343i | \(-0.745358\pi\) |
−0.0726200 | + | 0.997360i | \(0.523136\pi\) | |||||||
\(128\) | 7.20230 | − | 19.7881i | 0.0562679 | − | 0.154595i | ||||
\(129\) | −64.5113 | − | 21.4829i | −0.500088 | − | 0.166534i | ||||
\(130\) | 1.03687 | + | 5.88038i | 0.00797592 | + | 0.0452337i | ||||
\(131\) | 47.6562 | − | 130.934i | 0.363788 | − | 0.999499i | −0.613891 | − | 0.789391i | \(-0.710396\pi\) |
0.977678 | − | 0.210107i | \(-0.0673814\pi\) | |||||||
\(132\) | −51.8276 | − | 131.024i | −0.392633 | − | 0.992603i | ||||
\(133\) | 0.367389 | + | 0.751252i | 0.00276233 | + | 0.00564851i | ||||
\(134\) | − | 8.28377i | − | 0.0618192i | ||||||
\(135\) | −65.8223 | − | 66.4104i | −0.487573 | − | 0.491929i | ||||
\(136\) | −13.3756 | − | 4.86832i | −0.0983500 | − | 0.0357965i | ||||
\(137\) | −104.886 | + | 124.999i | −0.765595 | + | 0.912400i | −0.998188 | − | 0.0601738i | \(-0.980835\pi\) |
0.232593 | + | 0.972574i | \(0.425279\pi\) | |||||||
\(138\) | 1.85595 | + | 3.01896i | 0.0134489 | + | 0.0218765i | ||||
\(139\) | 111.440 | + | 93.5090i | 0.801724 | + | 0.672726i | 0.948617 | − | 0.316426i | \(-0.102483\pi\) |
−0.146893 | + | 0.989152i | \(0.546927\pi\) | |||||||
\(140\) | − | 0.608665i | − | 0.00434760i | ||||||
\(141\) | 56.6498 | + | 143.214i | 0.401771 | + | 1.01570i | ||||
\(142\) | 2.09879 | − | 0.763897i | 0.0147802 | − | 0.00537956i | ||||
\(143\) | −157.797 | + | 188.055i | −1.10348 | + | 1.31507i | ||||
\(144\) | 104.497 | − | 98.0039i | 0.725674 | − | 0.680583i | ||||
\(145\) | 17.7834 | − | 30.8017i | 0.122644 | − | 0.212426i | ||||
\(146\) | −1.17852 | − | 0.207805i | −0.00807206 | − | 0.00142332i | ||||
\(147\) | −69.9552 | + | 129.281i | −0.475886 | + | 0.879462i | ||||
\(148\) | −64.0422 | + | 23.3094i | −0.432717 | + | 0.157496i | ||||
\(149\) | 196.376 | − | 34.6263i | 1.31796 | − | 0.232391i | 0.529935 | − | 0.848038i | \(-0.322216\pi\) |
0.788022 | + | 0.615647i | \(0.211105\pi\) | |||||||
\(150\) | −0.0889790 | − | 3.22230i | −0.000593193 | − | 0.0214820i | ||||
\(151\) | 66.9154 | − | 115.901i | 0.443148 | − | 0.767555i | −0.554773 | − | 0.832002i | \(-0.687195\pi\) |
0.997921 | + | 0.0644465i | \(0.0205282\pi\) | |||||||
\(152\) | 11.2705 | − | 5.51169i | 0.0741481 | − | 0.0362611i | ||||
\(153\) | −132.716 | − | 141.509i | −0.867428 | − | 0.924898i | ||||
\(154\) | −0.0327612 | + | 0.0274899i | −0.000212735 | + | 0.000178506i | ||||
\(155\) | 53.2183 | + | 63.4231i | 0.343344 | + | 0.409181i | ||||
\(156\) | −237.224 | − | 78.9979i | −1.52067 | − | 0.506397i | ||||
\(157\) | 53.6271 | − | 44.9985i | 0.341574 | − | 0.286615i | −0.455822 | − | 0.890071i | \(-0.650655\pi\) |
0.797396 | + | 0.603456i | \(0.206210\pi\) | |||||||
\(158\) | −0.783006 | + | 0.933150i | −0.00495573 | + | 0.00590601i | ||||
\(159\) | 225.061 | + | 33.3074i | 1.41548 | + | 0.209480i | ||||
\(160\) | −13.7010 | −0.0856310 | ||||||||
\(161\) | −0.404556 | + | 0.482131i | −0.00251277 | + | 0.00299460i | ||||
\(162\) | −6.42159 | + | 1.88108i | −0.0396394 | + | 0.0116116i | ||||
\(163\) | −48.4343 | − | 83.8907i | −0.297143 | − | 0.514667i | 0.678338 | − | 0.734750i | \(-0.262701\pi\) |
−0.975481 | + | 0.220083i | \(0.929367\pi\) | |||||||
\(164\) | 238.172 | − | 137.509i | 1.45227 | − | 0.838469i | ||||
\(165\) | −91.4049 | + | 81.1009i | −0.553969 | + | 0.491521i | ||||
\(166\) | 1.49180 | − | 1.25177i | 0.00898673 | − | 0.00754076i | ||||
\(167\) | 12.4764 | + | 34.2786i | 0.0747090 | + | 0.205261i | 0.971426 | − | 0.237344i | \(-0.0762767\pi\) |
−0.896717 | + | 0.442605i | \(0.854054\pi\) | |||||||
\(168\) | −0.0766839 | − | 0.0414944i | −0.000456452 | − | 0.000246991i | ||||
\(169\) | 46.2987 | + | 262.573i | 0.273957 | + | 1.55369i | ||||
\(170\) | 6.16698i | 0.0362763i | ||||||||
\(171\) | 170.984 | + | 2.31664i | 0.999908 | + | 0.0135476i | ||||
\(172\) | −90.5044 | −0.526188 | ||||||||
\(173\) | −149.717 | + | 26.3992i | −0.865416 | + | 0.152596i | −0.588696 | − | 0.808354i | \(-0.700359\pi\) |
−0.276720 | + | 0.960951i | \(0.589247\pi\) | |||||||
\(174\) | −1.33300 | − | 2.16831i | −0.00766091 | − | 0.0124615i | ||||
\(175\) | 0.537969 | − | 0.195805i | 0.00307411 | − | 0.00111888i | ||||
\(176\) | −120.347 | − | 143.424i | −0.683792 | − | 0.814911i | ||||
\(177\) | −22.1980 | + | 66.6588i | −0.125413 | + | 0.376603i | ||||
\(178\) | −5.48897 | − | 9.50717i | −0.0308369 | − | 0.0534111i | ||||
\(179\) | −180.707 | + | 104.331i | −1.00953 | + | 0.582855i | −0.911055 | − | 0.412284i | \(-0.864731\pi\) |
−0.0984789 | + | 0.995139i | \(0.531398\pi\) | |||||||
\(180\) | −111.054 | − | 56.1865i | −0.616968 | − | 0.312147i | ||||
\(181\) | −85.2312 | − | 71.5175i | −0.470891 | − | 0.395124i | 0.376229 | − | 0.926527i | \(-0.377221\pi\) |
−0.847119 | + | 0.531403i | \(0.821665\pi\) | |||||||
\(182\) | 0.0758900i | 0.000416978i | ||||||||
\(183\) | 242.999 | + | 192.724i | 1.32786 | + | 1.05314i | ||||
\(184\) | 7.23308 | + | 6.06928i | 0.0393102 | + | 0.0329852i | ||||
\(185\) | 37.9921 | + | 45.2773i | 0.205363 | + | 0.244742i | ||||
\(186\) | 5.80431 | − | 1.18953i | 0.0312060 | − | 0.00639530i | ||||
\(187\) | −194.225 | + | 162.974i | −1.03863 | + | 0.871518i | ||||
\(188\) | 131.770 | + | 157.038i | 0.700906 | + | 0.835308i | ||||
\(189\) | −0.677297 | − | 0.976494i | −0.00358358 | − | 0.00516663i | ||||
\(190\) | −3.91405 | − | 3.77181i | −0.0206003 | − | 0.0198516i | ||||
\(191\) | 242.124 | + | 139.790i | 1.26766 | + | 0.731886i | 0.974545 | − | 0.224190i | \(-0.0719736\pi\) |
0.293119 | + | 0.956076i | \(0.405307\pi\) | |||||||
\(192\) | 90.4396 | − | 167.137i | 0.471040 | − | 0.870507i | ||||
\(193\) | 38.2004 | + | 216.646i | 0.197930 | + | 1.12252i | 0.908184 | + | 0.418571i | \(0.137469\pi\) |
−0.710254 | + | 0.703945i | \(0.751420\pi\) | |||||||
\(194\) | 0.969415 | + | 2.66344i | 0.00499698 | + | 0.0137291i | ||||
\(195\) | 5.98546 | + | 216.758i | 0.0306947 | + | 1.11158i | ||||
\(196\) | −33.9756 | + | 192.685i | −0.173345 | + | 0.983089i | ||||
\(197\) | −21.1452 | − | 12.2082i | −0.107336 | − | 0.0619706i | 0.445371 | − | 0.895346i | \(-0.353072\pi\) |
−0.552707 | + | 0.833376i | \(0.686405\pi\) | |||||||
\(198\) | 1.99147 | + | 8.51508i | 0.0100579 | + | 0.0430055i | ||||
\(199\) | 192.939 | + | 161.895i | 0.969542 | + | 0.813542i | 0.982479 | − | 0.186374i | \(-0.0596736\pi\) |
−0.0129367 | + | 0.999916i | \(0.504118\pi\) | |||||||
\(200\) | −2.93752 | − | 8.07078i | −0.0146876 | − | 0.0403539i | ||||
\(201\) | 44.0404 | − | 297.585i | 0.219107 | − | 1.48052i | ||||
\(202\) | 4.88581 | 0.0241872 | ||||||||
\(203\) | 0.290565 | − | 0.346281i | 0.00143135 | − | 0.00170582i | ||||
\(204\) | −227.116 | − | 122.895i | −1.11331 | − | 0.602426i | ||||
\(205\) | −182.709 | − | 153.311i | −0.891265 | − | 0.747860i | ||||
\(206\) | −2.67969 | + | 7.36239i | −0.0130082 | + | 0.0357398i | ||||
\(207\) | 50.6226 | + | 118.320i | 0.244554 | + | 0.571592i | ||||
\(208\) | −332.237 | −1.59729 | ||||||||
\(209\) | 15.3543 | − | 222.947i | 0.0734655 | − | 1.06673i | ||||
\(210\) | −0.00553033 | + | 0.0373689i | −2.63349e−5 | + | 0.000177947i | ||||
\(211\) | −164.394 | − | 59.8346i | −0.779120 | − | 0.283576i | −0.0783141 | − | 0.996929i | \(-0.524954\pi\) |
−0.700806 | + | 0.713352i | \(0.747176\pi\) | |||||||
\(212\) | 298.231 | − | 52.5862i | 1.40675 | − | 0.248048i | ||||
\(213\) | 79.4579 | − | 16.2840i | 0.373042 | − | 0.0764505i | ||||
\(214\) | 10.2102 | + | 3.71622i | 0.0477114 | + | 0.0173655i | ||||
\(215\) | 26.8452 | + | 73.7567i | 0.124862 | + | 0.343054i | ||||
\(216\) | −14.6497 | + | 10.1610i | −0.0678225 | + | 0.0470417i | ||||
\(217\) | 0.526132 | + | 0.911287i | 0.00242457 | + | 0.00419948i | ||||
\(218\) | 2.04137 | + | 5.60861i | 0.00936407 | + | 0.0257276i | ||||
\(219\) | −41.2322 | − | 13.7307i | −0.188275 | − | 0.0626974i | ||||
\(220\) | −81.3260 | + | 140.861i | −0.369663 | + | 0.640276i | ||||
\(221\) | 449.914i | 2.03581i | ||||||||
\(222\) | 4.14365 | − | 0.849193i | 0.0186651 | − | 0.00382519i | ||||
\(223\) | 107.720 | + | 39.2068i | 0.483048 | + | 0.175815i | 0.572054 | − | 0.820216i | \(-0.306147\pi\) |
−0.0890058 | + | 0.996031i | \(0.528369\pi\) | |||||||
\(224\) | −0.171488 | − | 0.0302379i | −0.000765570 | − | 0.000134991i | ||||
\(225\) | 13.9348 | − | 116.230i | 0.0619324 | − | 0.516580i | ||||
\(226\) | −11.9541 | + | 10.0306i | −0.0528941 | + | 0.0443834i | ||||
\(227\) | −94.6250 | − | 54.6318i | −0.416850 | − | 0.240669i | 0.276879 | − | 0.960905i | \(-0.410700\pi\) |
−0.693729 | + | 0.720236i | \(0.744033\pi\) | |||||||
\(228\) | 216.906 | − | 68.9818i | 0.951343 | − | 0.302552i | ||||
\(229\) | 114.385 | + | 198.120i | 0.499496 | + | 0.865153i | 1.00000 | 0.000581476i | \(-0.000185089\pi\) | |
−0.500503 | + | 0.865735i | \(0.666852\pi\) | |||||||
\(230\) | 1.39916 | − | 3.84415i | 0.00608329 | − | 0.0167137i | ||||
\(231\) | −1.32306 | + | 0.813369i | −0.00572752 | + | 0.00352108i | ||||
\(232\) | −5.19502 | − | 4.35914i | −0.0223923 | − | 0.0187894i | ||||
\(233\) | −187.313 | + | 33.0283i | −0.803917 | + | 0.141752i | −0.560484 | − | 0.828165i | \(-0.689385\pi\) |
−0.243433 | + | 0.969918i | \(0.578274\pi\) | |||||||
\(234\) | 13.8466 | + | 7.00549i | 0.0591734 | + | 0.0299380i | ||||
\(235\) | 88.8928 | − | 153.967i | 0.378267 | − | 0.655178i | ||||
\(236\) | 93.5171i | 0.396259i | ||||||||
\(237\) | −33.0896 | + | 29.3595i | −0.139619 | + | 0.123880i | ||||
\(238\) | −0.0136105 | + | 0.0771889i | −5.71869e−5 | + | 0.000324323i | ||||
\(239\) | 313.191 | + | 180.821i | 1.31042 | + | 0.756572i | 0.982166 | − | 0.188016i | \(-0.0602058\pi\) |
0.328256 | + | 0.944589i | \(0.393539\pi\) | |||||||
\(240\) | −163.596 | − | 24.2111i | −0.681652 | − | 0.100880i | ||||
\(241\) | −33.5206 | + | 190.105i | −0.139090 | + | 0.788817i | 0.832834 | + | 0.553522i | \(0.186717\pi\) |
−0.971924 | + | 0.235295i | \(0.924394\pi\) | |||||||
\(242\) | 1.41083 | − | 0.248767i | 0.00582987 | − | 0.00102796i | ||||
\(243\) | −240.689 | + | 33.4355i | −0.990489 | + | 0.137595i | ||||
\(244\) | 387.927 | + | 141.194i | 1.58987 | + | 0.578664i | ||||
\(245\) | 167.107 | − | 29.4655i | 0.682070 | − | 0.120267i | ||||
\(246\) | −15.8720 | + | 6.27831i | −0.0645202 | + | 0.0255216i | ||||
\(247\) | −285.551 | − | 275.174i | −1.15608 | − | 1.11406i | ||||
\(248\) | 13.6714 | − | 7.89319i | 0.0551266 | − | 0.0318274i | ||||
\(249\) | 60.2460 | − | 37.0371i | 0.241952 | − | 0.148744i | ||||
\(250\) | −8.32943 | + | 6.98923i | −0.0333177 | + | 0.0279569i | ||||
\(251\) | −166.114 | − | 29.2903i | −0.661807 | − | 0.116694i | −0.167351 | − | 0.985897i | \(-0.553521\pi\) |
−0.494456 | + | 0.869203i | \(0.664633\pi\) | |||||||
\(252\) | −1.26601 | − | 0.948353i | −0.00502383 | − | 0.00376330i | ||||
\(253\) | 158.044 | − | 57.5234i | 0.624680 | − | 0.227365i | ||||
\(254\) | 7.43877 | − | 4.29477i | 0.0292865 | − | 0.0169086i | ||||
\(255\) | −32.7866 | + | 221.542i | −0.128575 | + | 0.868790i | ||||
\(256\) | 43.6974 | − | 247.820i | 0.170693 | − | 0.968049i | ||||
\(257\) | −205.814 | − | 36.2906i | −0.800835 | − | 0.141209i | −0.241771 | − | 0.970333i | \(-0.577728\pi\) |
−0.559064 | + | 0.829125i | \(0.688839\pi\) | |||||||
\(258\) | 5.55650 | + | 0.822323i | 0.0215368 | + | 0.00318730i | ||||
\(259\) | 0.375601 | + | 0.650561i | 0.00145020 | + | 0.00251182i | ||||
\(260\) | 98.7166 | + | 271.222i | 0.379679 | + | 1.04316i | ||||
\(261\) | −36.3587 | − | 84.9808i | −0.139305 | − | 0.325597i | ||||
\(262\) | −1.99881 | + | 11.3358i | −0.00762905 | + | 0.0432665i | ||||
\(263\) | −91.4955 | − | 109.040i | −0.347892 | − | 0.414601i | 0.563516 | − | 0.826105i | \(-0.309448\pi\) |
−0.911408 | + | 0.411504i | \(0.865004\pi\) | |||||||
\(264\) | 12.2024 | + | 19.8489i | 0.0462212 | + | 0.0751852i | ||||
\(265\) | −131.316 | − | 227.446i | −0.495532 | − | 0.858287i | ||||
\(266\) | −0.0406658 | − | 0.0558480i | −0.000152879 | − | 0.000209955i | ||||
\(267\) | −146.640 | − | 370.716i | −0.549214 | − | 1.38845i | ||||
\(268\) | −69.5317 | − | 394.334i | −0.259447 | − | 1.47139i | ||||
\(269\) | 152.776 | − | 419.747i | 0.567939 | − | 1.56040i | −0.239777 | − | 0.970828i | \(-0.577074\pi\) |
0.807716 | − | 0.589572i | \(-0.200703\pi\) | |||||||
\(270\) | 6.30765 | + | 4.45860i | 0.0233617 | + | 0.0165133i | ||||
\(271\) | −55.0137 | − | 311.998i | −0.203002 | − | 1.15128i | −0.900552 | − | 0.434748i | \(-0.856837\pi\) |
0.697550 | − | 0.716536i | \(-0.254274\pi\) | |||||||
\(272\) | −337.923 | − | 59.5850i | −1.24237 | − | 0.219063i | ||||
\(273\) | −0.403467 | + | 2.72626i | −0.00147790 | + | 0.00998631i | ||||
\(274\) | 6.73994 | − | 11.6739i | 0.0245983 | − | 0.0426055i | ||||
\(275\) | −150.662 | − | 26.5658i | −0.547862 | − | 0.0966029i | ||||
\(276\) | 113.689 | + | 128.134i | 0.411918 | + | 0.464252i | ||||
\(277\) | 139.987 | 0.505369 | 0.252684 | − | 0.967549i | \(-0.418687\pi\) | ||||
0.252684 | + | 0.967549i | \(0.418687\pi\) | |||||||
\(278\) | −10.4076 | − | 6.00883i | −0.0374374 | − | 0.0216145i | ||||
\(279\) | 214.837 | − | 11.8739i | 0.770026 | − | 0.0425587i | ||||
\(280\) | 0.0174777 | + | 0.0991207i | 6.24202e−5 | + | 0.000354002i | ||||
\(281\) | −29.9588 | + | 35.7035i | −0.106615 | + | 0.127059i | −0.816713 | − | 0.577044i | \(-0.804206\pi\) |
0.710098 | + | 0.704103i | \(0.248651\pi\) | |||||||
\(282\) | −6.66318 | − | 10.8386i | −0.0236283 | − | 0.0384347i | ||||
\(283\) | 448.371 | + | 163.194i | 1.58435 | + | 0.576657i | 0.976144 | − | 0.217122i | \(-0.0696670\pi\) |
0.608207 | + | 0.793779i | \(0.291889\pi\) | |||||||
\(284\) | 93.4972 | − | 53.9806i | 0.329215 | − | 0.190073i | ||||
\(285\) | −120.555 | − | 156.307i | −0.423000 | − | 0.548445i | ||||
\(286\) | 10.1400 | − | 17.5629i | 0.0354544 | − | 0.0614088i | ||||
\(287\) | −1.94852 | − | 2.32216i | −0.00678927 | − | 0.00809114i | ||||
\(288\) | −21.3473 | + | 28.4976i | −0.0741225 | + | 0.0989501i | ||||
\(289\) | −30.5054 | + | 173.005i | −0.105555 | + | 0.598633i | ||||
\(290\) | −1.00492 | + | 2.76099i | −0.00346523 | + | 0.00952064i | ||||
\(291\) | 20.6650 | + | 100.835i | 0.0710136 | + | 0.346512i | ||||
\(292\) | −57.8456 | −0.198101 | ||||||||
\(293\) | −392.328 | − | 226.511i | −1.33900 | − | 0.773074i | −0.352344 | − | 0.935871i | \(-0.614615\pi\) |
−0.986660 | + | 0.162796i | \(0.947949\pi\) | |||||||
\(294\) | 3.83667 | − | 11.5212i | 0.0130499 | − | 0.0391877i | ||||
\(295\) | 76.2119 | − | 27.7389i | 0.258345 | − | 0.0940300i | ||||
\(296\) | 9.75991 | − | 5.63488i | 0.0329727 | − | 0.0190368i | ||||
\(297\) | 26.2710 | + | 316.482i | 0.0884544 | + | 1.06560i | ||||
\(298\) | −15.4795 | + | 5.63406i | −0.0519445 | + | 0.0189063i | ||||
\(299\) | 102.076 | − | 280.451i | 0.341391 | − | 0.937965i | ||||
\(300\) | −31.2828 | − | 152.645i | −0.104276 | − | 0.508816i | ||||
\(301\) | 0.173227 | + | 0.982421i | 0.000575506 | + | 0.00326386i | ||||
\(302\) | −3.78130 | + | 10.3890i | −0.0125209 | + | 0.0344008i | ||||
\(303\) | 175.517 | + | 25.9753i | 0.579264 | + | 0.0857270i | ||||
\(304\) | 244.496 | − | 178.030i | 0.804263 | − | 0.585625i | ||||
\(305\) | − | 358.023i | − | 1.17384i | ||||||
\(306\) | 12.8271 | + | 9.60869i | 0.0419188 | + | 0.0314010i | ||||
\(307\) | −29.1824 | − | 10.6215i | −0.0950567 | − | 0.0345978i | 0.294054 | − | 0.955789i | \(-0.404995\pi\) |
−0.389111 | + | 0.921191i | \(0.627218\pi\) | |||||||
\(308\) | −1.32879 | + | 1.58359i | −0.00431426 | + | 0.00514154i | ||||
\(309\) | −135.407 | + | 250.239i | −0.438210 | + | 0.809835i | ||||
\(310\) | −5.23940 | − | 4.39638i | −0.0169013 | − | 0.0141819i | ||||
\(311\) | 232.601i | 0.747913i | 0.927446 | + | 0.373957i | \(0.121999\pi\) | ||||
−0.927446 | + | 0.373957i | \(0.878001\pi\) | |||||||
\(312\) | 40.9002 | + | 6.05294i | 0.131090 | + | 0.0194005i | ||||
\(313\) | 92.3186 | − | 33.6012i | 0.294947 | − | 0.107352i | −0.190308 | − | 0.981724i | \(-0.560949\pi\) |
0.485256 | + | 0.874372i | \(0.338727\pi\) | |||||||
\(314\) | −3.71734 | + | 4.43015i | −0.0118387 | + | 0.0141088i | ||||
\(315\) | −0.397341 | + | 1.31303i | −0.00126140 | + | 0.00416836i | ||||
\(316\) | −29.4410 | + | 50.9932i | −0.0931676 | + | 0.161371i | ||||
\(317\) | 256.420 | + | 45.2137i | 0.808895 | + | 0.142630i | 0.562776 | − | 0.826609i | \(-0.309733\pi\) |
0.246119 | + | 0.969240i | \(0.420844\pi\) | |||||||
\(318\) | −18.7877 | + | 0.518793i | −0.0590807 | + | 0.00163143i | ||||
\(319\) | −113.512 | + | 41.3150i | −0.355837 | + | 0.129514i | ||||
\(320\) | −216.040 | + | 38.0936i | −0.675124 | + | 0.119043i | ||||
\(321\) | 347.034 | + | 187.784i | 1.08110 | + | 0.584996i | ||||
\(322\) | 0.0259965 | − | 0.0450273i | 8.07345e−5 | − | 0.000139836i | ||||
\(323\) | −241.087 | − | 331.095i | −0.746401 | − | 1.02506i | ||||
\(324\) | −289.899 | + | 143.446i | −0.894749 | + | 0.442736i | ||||
\(325\) | −207.963 | + | 174.502i | −0.639886 | + | 0.536928i | ||||
\(326\) | 5.14381 | + | 6.13015i | 0.0157785 | + | 0.0188041i | ||||
\(327\) | 43.5157 | + | 212.336i | 0.133076 | + | 0.649344i | ||||
\(328\) | −34.8377 | + | 29.2323i | −0.106213 | + | 0.0891229i | ||||
\(329\) | 1.45243 | − | 1.73094i | 0.00441468 | − | 0.00526121i | ||||
\(330\) | 6.27286 | − | 7.90920i | 0.0190087 | − | 0.0239673i | ||||
\(331\) | 579.730 | 1.75145 | 0.875726 | − | 0.482809i | \(-0.160383\pi\) | ||||
0.875726 | + | 0.482809i | \(0.160383\pi\) | |||||||
\(332\) | 60.5073 | − | 72.1098i | 0.182251 | − | 0.217198i | ||||
\(333\) | 153.371 | − | 8.47666i | 0.460572 | − | 0.0254554i | ||||
\(334\) | −1.50675 | − | 2.60977i | −0.00451123 | − | 0.00781368i | ||||
\(335\) | −300.738 | + | 173.631i | −0.897727 | + | 0.518303i | ||||
\(336\) | −1.99422 | − | 0.664094i | −0.00593517 | − | 0.00197647i | ||||
\(337\) | 67.0667 | − | 56.2756i | 0.199011 | − | 0.166990i | −0.537836 | − | 0.843049i | \(-0.680758\pi\) |
0.736847 | + | 0.676059i | \(0.236314\pi\) | |||||||
\(338\) | −7.53328 | − | 20.6975i | −0.0222878 | − | 0.0612353i | ||||
\(339\) | −482.763 | + | 296.786i | −1.42408 | + | 0.875474i | ||||
\(340\) | 51.7639 | + | 293.568i | 0.152247 | + | 0.863435i | ||||
\(341\) | − | 281.194i | − | 0.824615i | ||||||
\(342\) | −13.9437 | + | 2.26432i | −0.0407710 | + | 0.00662082i | ||||
\(343\) | 4.31333 | 0.0125753 | ||||||||
\(344\) | 14.7386 | − | 2.59881i | 0.0428447 | − | 0.00755468i | ||||
\(345\) | 70.7004 | − | 130.658i | 0.204929 | − | 0.378719i | ||||
\(346\) | 11.8016 | − | 4.29542i | 0.0341086 | − | 0.0124145i | ||||
\(347\) | −108.116 | − | 128.848i | −0.311573 | − | 0.371318i | 0.587419 | − | 0.809283i | \(-0.300144\pi\) |
−0.898992 | + | 0.437964i | \(0.855700\pi\) | |||||||
\(348\) | −81.6551 | − | 92.0295i | −0.234641 | − | 0.264452i | ||||
\(349\) | −312.973 | − | 542.085i | −0.896771 | − | 1.55325i | −0.831597 | − | 0.555380i | \(-0.812573\pi\) |
−0.0651745 | − | 0.997874i | \(-0.520760\pi\) | |||||||
\(350\) | −0.0409577 | + | 0.0236470i | −0.000117022 | + | 6.75627e-5i | ||||
\(351\) | 460.177 | + | 325.279i | 1.31105 | + | 0.926721i | ||||
\(352\) | 35.6465 | + | 29.9110i | 0.101268 | + | 0.0849743i | ||||
\(353\) | 94.6096i | 0.268016i | 0.990980 | + | 0.134008i | \(0.0427848\pi\) | ||||
−0.990980 | + | 0.134008i | \(0.957215\pi\) | |||||||
\(354\) | 0.849697 | − | 5.74147i | 0.00240027 | − | 0.0162188i | ||||
\(355\) | −71.7245 | − | 60.1840i | −0.202041 | − | 0.169532i | ||||
\(356\) | −341.093 | − | 406.499i | −0.958127 | − | 1.14185i | ||||
\(357\) | −0.899313 | + | 2.70056i | −0.00251908 | + | 0.00756460i | ||||
\(358\) | 13.2048 | − | 11.0801i | 0.0368849 | − | 0.0309501i | ||||
\(359\) | 103.308 | + | 123.118i | 0.287767 | + | 0.342948i | 0.890490 | − | 0.455003i | \(-0.150362\pi\) |
−0.602723 | + | 0.797951i | \(0.705917\pi\) | |||||||
\(360\) | 19.6985 | + | 5.96104i | 0.0547181 | + | 0.0165584i | ||||
\(361\) | 357.592 | + | 49.4891i | 0.990559 | + | 0.137089i | ||||
\(362\) | 7.95993 | + | 4.59567i | 0.0219888 | + | 0.0126952i | ||||
\(363\) | 52.0049 | − | 1.43604i | 0.143264 | − | 0.00395603i | ||||
\(364\) | 0.637000 | + | 3.61261i | 0.00175000 | + | 0.00992475i | ||||
\(365\) | 17.1581 | + | 47.1414i | 0.0470084 | + | 0.129154i | ||||
\(366\) | −22.5338 | − | 12.1933i | −0.0615679 | − | 0.0333150i | ||||
\(367\) | 112.802 | − | 639.731i | 0.307362 | − | 1.74314i | −0.304812 | − | 0.952413i | \(-0.598594\pi\) |
0.612174 | − | 0.790723i | \(-0.290295\pi\) | |||||||
\(368\) | 197.124 | + | 113.810i | 0.535663 | + | 0.309265i | ||||
\(369\) | −603.561 | + | 141.158i | −1.63567 | + | 0.382542i | ||||
\(370\) | −3.74037 | − | 3.13854i | −0.0101091 | − | 0.00848254i | ||||
\(371\) | −1.14164 | − | 3.13664i | −0.00307720 | − | 0.00845455i | ||||
\(372\) | 266.319 | − | 105.345i | 0.715911 | − | 0.283185i | ||||
\(373\) | 298.007 | 0.798948 | 0.399474 | − | 0.916745i | \(-0.369193\pi\) | ||||
0.399474 | + | 0.916745i | \(0.369193\pi\) | |||||||
\(374\) | 13.4633 | − | 16.0449i | 0.0359982 | − | 0.0429009i | ||||
\(375\) | −336.383 | + | 206.797i | −0.897022 | + | 0.551458i | ||||
\(376\) | −25.9680 | − | 21.7898i | −0.0690639 | − | 0.0579515i | ||||
\(377\) | −73.3141 | + | 201.429i | −0.194467 | + | 0.534294i | ||||
\(378\) | 0.0691095 | + | 0.0697269i | 0.000182829 | + | 0.000184463i | ||||
\(379\) | 231.155 | 0.609908 | 0.304954 | − | 0.952367i | \(-0.401359\pi\) | ||||
0.304954 | + | 0.952367i | \(0.401359\pi\) | |||||||
\(380\) | −217.981 | − | 146.697i | −0.573634 | − | 0.386043i | ||||
\(381\) | 290.062 | − | 114.737i | 0.761318 | − | 0.301146i | ||||
\(382\) | −21.7033 | − | 7.89937i | −0.0568150 | − | 0.0206790i | ||||
\(383\) | −434.087 | + | 76.5412i | −1.13339 | + | 0.199847i | −0.708711 | − | 0.705499i | \(-0.750723\pi\) |
−0.424675 | + | 0.905346i | \(0.639612\pi\) | |||||||
\(384\) | −19.9600 | + | 59.9382i | −0.0519792 | + | 0.156089i | ||||
\(385\) | 1.68470 | + | 0.613180i | 0.00437584 | + | 0.00159267i | ||||
\(386\) | −6.21561 | − | 17.0772i | −0.0161026 | − | 0.0442416i | ||||
\(387\) | 195.239 | + | 59.0820i | 0.504494 | + | 0.152667i | ||||
\(388\) | 68.5035 | + | 118.651i | 0.176555 | + | 0.305803i | ||||
\(389\) | −78.8849 | − | 216.734i | −0.202789 | − | 0.557158i | 0.796055 | − | 0.605224i | \(-0.206916\pi\) |
−0.998844 | + | 0.0480661i | \(0.984694\pi\) | |||||||
\(390\) | −3.59637 | − | 17.5486i | −0.00922147 | − | 0.0449963i | ||||
\(391\) | 154.120 | − | 266.944i | 0.394170 | − | 0.682722i | ||||
\(392\) | − | 32.3543i | − | 0.0825365i | ||||||
\(393\) | −132.072 | + | 396.600i | −0.336060 | + | 1.00916i | ||||
\(394\) | 1.89540 | + | 0.689870i | 0.00481067 | + | 0.00175094i | ||||
\(395\) | 50.2897 | + | 8.86744i | 0.127316 | + | 0.0224492i | ||||
\(396\) | 166.273 | + | 388.629i | 0.419882 | + | 0.981387i | ||||
\(397\) | −246.352 | + | 206.714i | −0.620535 | + | 0.520691i | −0.897972 | − | 0.440053i | \(-0.854960\pi\) |
0.277437 | + | 0.960744i | \(0.410515\pi\) | |||||||
\(398\) | −18.0190 | − | 10.4033i | −0.0452738 | − | 0.0261389i | ||||
\(399\) | −1.16396 | − | 2.22248i | −0.00291719 | − | 0.00557011i | ||||
\(400\) | −103.523 | − | 179.308i | −0.258809 | − | 0.448270i | ||||
\(401\) | −83.4537 | + | 229.287i | −0.208114 | + | 0.571788i | −0.999203 | − | 0.0399124i | \(-0.987292\pi\) |
0.791089 | + | 0.611701i | \(0.209514\pi\) | |||||||
\(402\) | 0.685970 | + | 24.8418i | 0.00170639 | + | 0.0617956i | ||||
\(403\) | −382.242 | − | 320.739i | −0.948492 | − | 0.795879i | ||||
\(404\) | 232.580 | − | 41.0101i | 0.575693 | − | 0.101510i | ||||
\(405\) | 202.891 | + | 193.705i | 0.500966 | + | 0.478283i | ||||
\(406\) | −0.0186715 | + | 0.0323400i | −4.59889e−5 | + | 7.96551e-5i | ||||
\(407\) | − | 200.742i | − | 0.493224i | ||||||
\(408\) | 40.5146 | + | 13.4918i | 0.0993006 | + | 0.0330681i | ||||
\(409\) | −48.1364 | + | 272.995i | −0.117693 | + | 0.667470i | 0.867689 | + | 0.497108i | \(0.165605\pi\) |
−0.985382 | + | 0.170362i | \(0.945506\pi\) | |||||||
\(410\) | 17.0636 | + | 9.85169i | 0.0416186 | + | 0.0240285i | ||||
\(411\) | 304.189 | − | 383.539i | 0.740118 | − | 0.933185i | ||||
\(412\) | −65.7640 | + | 372.966i | −0.159621 | + | 0.905257i | ||||
\(413\) | 1.01512 | − | 0.178994i | 0.00245793 | − | 0.000433399i | ||||
\(414\) | −5.81572 | − | 8.89973i | −0.0140476 | − | 0.0214969i | ||||
\(415\) | −76.7135 | − | 27.9214i | −0.184852 | − | 0.0672806i | ||||
\(416\) | 81.3193 | − | 14.3388i | 0.195479 | − | 0.0344682i | ||||
\(417\) | −341.935 | − | 271.192i | −0.819988 | − | 0.650340i | ||||
\(418\) | 1.94906 | + | 18.3582i | 0.00466281 | + | 0.0439191i | ||||
\(419\) | −217.272 | + | 125.442i | −0.518550 | + | 0.299385i | −0.736341 | − | 0.676610i | \(-0.763448\pi\) |
0.217791 | + | 0.975995i | \(0.430115\pi\) | |||||||
\(420\) | 0.0504029 | + | 1.82530i | 0.000120007 | + | 0.00434595i | ||||
\(421\) | 133.556 | − | 112.066i | 0.317234 | − | 0.266191i | −0.470240 | − | 0.882538i | \(-0.655833\pi\) |
0.787474 | + | 0.616347i | \(0.211388\pi\) | |||||||
\(422\) | 14.2327 | + | 2.50960i | 0.0337267 | + | 0.00594692i | ||||
\(423\) | −181.744 | − | 424.788i | −0.429655 | − | 1.00423i | ||||
\(424\) | −47.0568 | + | 17.1273i | −0.110983 | + | 0.0403945i | ||||
\(425\) | −242.818 | + | 140.191i | −0.571337 | + | 0.329861i | ||||
\(426\) | −6.23071 | + | 2.46462i | −0.0146261 | + | 0.00578549i | ||||
\(427\) | 0.790153 | − | 4.48118i | 0.00185048 | − | 0.0104946i | ||||
\(428\) | 517.233 | + | 91.2022i | 1.20849 | + | 0.213089i | ||||
\(429\) | 457.639 | − | 577.019i | 1.06676 | − | 1.34503i | ||||
\(430\) | −3.24205 | − | 5.61539i | −0.00753965 | − | 0.0130590i | ||||
\(431\) | 146.044 | + | 401.254i | 0.338850 | + | 0.930983i | 0.985721 | + | 0.168384i | \(0.0538549\pi\) |
−0.646871 | + | 0.762599i | \(0.723923\pi\) | |||||||
\(432\) | −305.256 | + | 302.553i | −0.706611 | + | 0.700354i | ||||
\(433\) | 80.0112 | − | 453.766i | 0.184783 | − | 1.04796i | −0.741450 | − | 0.671008i | \(-0.765862\pi\) |
0.926233 | − | 0.376951i | \(-0.123027\pi\) | |||||||
\(434\) | −0.0558760 | − | 0.0665905i | −0.000128747 | − | 0.000153434i | ||||
\(435\) | −50.7792 | + | 93.8426i | −0.116734 | + | 0.215730i | ||||
\(436\) | 144.253 | + | 249.853i | 0.330855 | + | 0.573057i | ||||
\(437\) | 75.1620 | + | 261.084i | 0.171995 | + | 0.597446i | ||||
\(438\) | 3.55142 | + | 0.525585i | 0.00810827 | + | 0.00119997i | ||||
\(439\) | 115.676 | + | 656.033i | 0.263500 | + | 1.49438i | 0.773273 | + | 0.634073i | \(0.218618\pi\) |
−0.509774 | + | 0.860309i | \(0.670271\pi\) | |||||||
\(440\) | 9.19911 | − | 25.2743i | 0.0209071 | − | 0.0574417i | ||||
\(441\) | 199.080 | − | 393.488i | 0.451429 | − | 0.892263i | ||||
\(442\) | −6.45407 | − | 36.6029i | −0.0146020 | − | 0.0828119i | ||||
\(443\) | 685.886 | + | 120.940i | 1.54828 | + | 0.273003i | 0.881474 | − | 0.472232i | \(-0.156552\pi\) |
0.666802 | + | 0.745235i | \(0.267663\pi\) | |||||||
\(444\) | 190.123 | − | 75.2050i | 0.428205 | − | 0.169381i | ||||
\(445\) | −230.103 | + | 398.549i | −0.517084 | + | 0.895616i | ||||
\(446\) | −9.32599 | − | 1.64442i | −0.0209103 | − | 0.00368705i | ||||
\(447\) | −586.035 | + | 120.101i | −1.31104 | + | 0.268682i | ||||
\(448\) | −2.78813 | −0.00622350 | ||||||||
\(449\) | 294.636 | + | 170.108i | 0.656205 | + | 0.378860i | 0.790829 | − | 0.612037i | \(-0.209650\pi\) |
−0.134625 | + | 0.990897i | \(0.542983\pi\) | |||||||
\(450\) | 0.533670 | + | 9.65585i | 0.00118593 | + | 0.0214574i | ||||
\(451\) | 140.666 | + | 797.756i | 0.311898 | + | 1.76886i | ||||
\(452\) | −484.857 | + | 577.830i | −1.07269 | + | 1.27838i | ||||
\(453\) | −191.072 | + | 353.111i | −0.421793 | + | 0.779495i | ||||
\(454\) | 8.48194 | + | 3.08717i | 0.0186827 | + | 0.00679994i | ||||
\(455\) | 2.75515 | − | 1.59069i | 0.00605528 | − | 0.00349602i | ||||
\(456\) | −33.3422 | + | 17.4621i | −0.0731190 | + | 0.0382940i | ||||
\(457\) | −389.390 | + | 674.442i | −0.852056 | + | 1.47580i | 0.0272937 | + | 0.999627i | \(0.491311\pi\) |
−0.879350 | + | 0.476177i | \(0.842022\pi\) | |||||||
\(458\) | −12.1478 | − | 14.4772i | −0.0265237 | − | 0.0316097i | ||||
\(459\) | 409.716 | + | 413.376i | 0.892628 | + | 0.900602i | ||||
\(460\) | 34.3375 | − | 194.738i | 0.0746468 | − | 0.423343i | ||||
\(461\) | −212.478 | + | 583.779i | −0.460907 | + | 1.26633i | 0.463897 | + | 0.885889i | \(0.346451\pi\) |
−0.924804 | + | 0.380443i | \(0.875771\pi\) | |||||||
\(462\) | 0.0959697 | − | 0.0851512i | 0.000207727 | − | 0.000184310i | ||||
\(463\) | 256.288 | 0.553538 | 0.276769 | − | 0.960937i | \(-0.410736\pi\) | ||||
0.276769 | + | 0.960937i | \(0.410736\pi\) | |||||||
\(464\) | −141.580 | − | 81.7415i | −0.305130 | − | 0.176167i | ||||
\(465\) | −164.846 | − | 185.790i | −0.354508 | − | 0.399548i | ||||
\(466\) | 14.7651 | − | 5.37404i | 0.0316847 | − | 0.0115323i | ||||
\(467\) | 327.747 | − | 189.225i | 0.701813 | − | 0.405192i | −0.106209 | − | 0.994344i | \(-0.533871\pi\) |
0.808022 | + | 0.589152i | \(0.200538\pi\) | |||||||
\(468\) | 717.943 | + | 217.259i | 1.53407 | + | 0.464229i | ||||
\(469\) | −4.14739 | + | 1.50953i | −0.00884305 | + | 0.00321861i | ||||
\(470\) | −5.02322 | + | 13.8012i | −0.0106877 | + | 0.0293642i | ||||
\(471\) | −157.094 | + | 139.385i | −0.333533 | + | 0.295934i | ||||
\(472\) | −2.68532 | − | 15.2292i | −0.00568924 | − | 0.0322653i | ||||
\(473\) | 91.1757 | − | 250.503i | 0.192761 | − | 0.529605i | ||||
\(474\) | 2.27085 | − | 2.86322i | 0.00479082 | − | 0.00604055i | ||||
\(475\) | 59.5344 | − | 239.854i | 0.125336 | − | 0.504957i | ||||
\(476\) | 3.78868i | 0.00795941i | ||||||||
\(477\) | −677.683 | − | 81.2471i | −1.42072 | − | 0.170329i | ||||
\(478\) | −28.0736 | − | 10.2180i | −0.0587314 | − | 0.0213765i | ||||
\(479\) | −39.6886 | + | 47.2991i | −0.0828573 | + | 0.0987455i | −0.805880 | − | 0.592078i | \(-0.798308\pi\) |
0.723023 | + | 0.690824i | \(0.242752\pi\) | |||||||
\(480\) | 41.0872 | − | 1.13456i | 0.0855983 | − | 0.00236367i | ||||
\(481\) | −272.880 | − | 228.973i | −0.567318 | − | 0.476036i | ||||
\(482\) | − | 15.9469i | − | 0.0330848i | ||||||
\(483\) | 1.17328 | − | 1.47934i | 0.00242915 | − | 0.00306282i | ||||
\(484\) | 65.0718 | − | 23.6842i | 0.134446 | − | 0.0489343i | ||||
\(485\) | 76.3758 | − | 91.0212i | 0.157476 | − | 0.187673i | ||||
\(486\) | 19.1016 | − | 6.17286i | 0.0393038 | − | 0.0127014i | ||||
\(487\) | 108.628 | − | 188.149i | 0.223056 | − | 0.386344i | −0.732679 | − | 0.680575i | \(-0.761730\pi\) |
0.955734 | + | 0.294231i | \(0.0950635\pi\) | |||||||
\(488\) | −67.2281 | − | 11.8541i | −0.137762 | − | 0.0242912i | ||||
\(489\) | 152.195 | + | 247.565i | 0.311236 | + | 0.506269i | ||||
\(490\) | −13.1723 | + | 4.79434i | −0.0268823 | + | 0.00978437i | ||||
\(491\) | −592.771 | + | 104.522i | −1.20727 | + | 0.212875i | −0.740840 | − | 0.671681i | \(-0.765572\pi\) |
−0.466433 | + | 0.884556i | \(0.654461\pi\) | |||||||
\(492\) | −702.858 | + | 432.092i | −1.42857 | + | 0.878236i | ||||
\(493\) | −110.694 | + | 191.728i | −0.224531 | + | 0.388900i | ||||
\(494\) | 27.1785 | + | 18.2905i | 0.0550172 | + | 0.0370254i | ||||
\(495\) | 267.394 | − | 250.779i | 0.540190 | − | 0.506625i | ||||
\(496\) | 291.525 | − | 244.618i | 0.587752 | − | 0.493182i | ||||
\(497\) | −0.764913 | − | 0.911588i | −0.00153906 | − | 0.00183418i | ||||
\(498\) | −4.37003 | + | 3.87740i | −0.00877515 | + | 0.00778594i | ||||
\(499\) | −226.487 | + | 190.045i | −0.453881 | + | 0.380852i | −0.840874 | − | 0.541231i | \(-0.817958\pi\) |
0.386993 | + | 0.922083i | \(0.373514\pi\) | |||||||
\(500\) | −337.842 | + | 402.624i | −0.675684 | + | 0.805249i | ||||
\(501\) | −40.2535 | − | 101.764i | −0.0803463 | − | 0.203121i | ||||
\(502\) | 13.9344 | 0.0277577 | ||||||||
\(503\) | 28.7107 | − | 34.2160i | 0.0570788 | − | 0.0680239i | −0.736750 | − | 0.676166i | \(-0.763640\pi\) |
0.793828 | + | 0.608142i | \(0.208085\pi\) | |||||||
\(504\) | 0.233400 | + | 0.118086i | 0.000463095 | + | 0.000234297i | ||||
\(505\) | −102.409 | − | 177.377i | −0.202790 | − | 0.351242i | ||||
\(506\) | −12.0325 | + | 6.94699i | −0.0237797 | + | 0.0137292i | ||||
\(507\) | −160.587 | − | 783.585i | −0.316739 | − | 1.54553i | ||||
\(508\) | 318.060 | − | 266.884i | 0.626102 | − | 0.525362i | ||||
\(509\) | −306.650 | − | 842.514i | −0.602456 | − | 1.65523i | −0.746282 | − | 0.665630i | \(-0.768163\pi\) |
0.143826 | − | 0.989603i | \(-0.454059\pi\) | |||||||
\(510\) | −0.510681 | − | 18.4939i | −0.00100134 | − | 0.0362625i | ||||
\(511\) | 0.110718 | + | 0.627912i | 0.000216669 | + | 0.00122879i | ||||
\(512\) | 105.021i | 0.205119i | ||||||||
\(513\) | −512.949 | + | 7.21177i | −0.999901 | + | 0.0140580i | ||||
\(514\) | 17.2647 | 0.0335889 | ||||||||
\(515\) | 323.456 | − | 57.0340i | 0.628070 | − | 0.110746i | ||||
\(516\) | 271.410 | − | 7.49457i | 0.525988 | − | 0.0145244i | ||||
\(517\) | −567.406 | + | 206.519i | −1.09750 | + | 0.399457i | ||||
\(518\) | −0.0398895 | − | 0.0475384i | −7.70067e−5 | − | 9.17730e-5i | ||||
\(519\) | 446.794 | − | 91.5652i | 0.860874 | − | 0.176426i | ||||
\(520\) | −23.8640 | − | 41.3337i | −0.0458923 | − | 0.0794878i | ||||
\(521\) | 563.384 | − | 325.270i | 1.08135 | − | 0.624318i | 0.150090 | − | 0.988672i | \(-0.452043\pi\) |
0.931261 | + | 0.364354i | \(0.118710\pi\) | |||||||
\(522\) | 4.17703 | + | 6.39206i | 0.00800197 | + | 0.0122453i | ||||
\(523\) | −131.408 | − | 110.265i | −0.251259 | − | 0.210831i | 0.508455 | − | 0.861088i | \(-0.330217\pi\) |
−0.759714 | + | 0.650257i | \(0.774661\pi\) | |||||||
\(524\) | 556.399i | 1.06183i | ||||||||
\(525\) | −1.59708 | + | 0.631739i | −0.00304205 | + | 0.00120331i | ||||
\(526\) | 9.00783 | + | 7.55847i | 0.0171252 | + | 0.0143697i | ||||
\(527\) | −331.261 | − | 394.782i | −0.628579 | − | 0.749112i | ||||
\(528\) | 372.781 | + | 420.143i | 0.706025 | + | 0.795726i | ||||
\(529\) | 248.603 | − | 208.603i | 0.469950 | − | 0.394335i | ||||
\(530\) | 13.9460 | + | 16.6202i | 0.0263132 | + | 0.0313588i | ||||
\(531\) | 61.0487 | − | 201.738i | 0.114969 | − | 0.379921i | ||||
\(532\) | −2.40460 | − | 2.31721i | −0.00451992 | − | 0.00435565i | ||||
\(533\) | 1244.88 | + | 718.734i | 2.33562 | + | 1.34847i | ||||
\(534\) | 17.2479 | + | 28.0561i | 0.0322995 | + | 0.0525395i | ||||
\(535\) | −79.0954 | − | 448.572i | −0.147842 | − | 0.838453i | ||||
\(536\) | 22.6464 | + | 62.2204i | 0.0422507 | + | 0.116083i | ||||
\(537\) | 533.274 | − | 327.838i | 0.993061 | − | 0.610499i | ||||
\(538\) | −6.40776 | + | 36.3402i | −0.0119103 | + | 0.0675469i | ||||
\(539\) | −499.098 | − | 288.154i | −0.925971 | − | 0.534609i | ||||
\(540\) | 337.689 | + | 159.299i | 0.625349 | + | 0.294998i | ||||
\(541\) | −496.266 | − | 416.417i | −0.917313 | − | 0.769717i | 0.0561833 | − | 0.998420i | \(-0.482107\pi\) |
−0.973496 | + | 0.228704i | \(0.926551\pi\) | |||||||
\(542\) | 8.95130 | + | 24.5935i | 0.0165153 | + | 0.0453754i | ||||
\(543\) | 261.518 | + | 207.413i | 0.481618 | + | 0.381976i | ||||
\(544\) | 85.2826 | 0.156770 | ||||||||
\(545\) | 160.830 | − | 191.670i | 0.295101 | − | 0.351688i | ||||
\(546\) | −0.00628438 | − | 0.227583i | −1.15098e−5 | − | 0.000416819i | ||||
\(547\) | 168.097 | + | 141.050i | 0.307307 | + | 0.257861i | 0.783378 | − | 0.621546i | \(-0.213495\pi\) |
−0.476071 | + | 0.879407i | \(0.657940\pi\) | |||||||
\(548\) | 222.855 | − | 612.289i | 0.406669 | − | 1.11732i | ||||
\(549\) | −744.677 | − | 557.830i | −1.35642 | − | 1.01608i | ||||
\(550\) | 12.6382 | 0.0229786 | ||||||||
\(551\) | −53.9836 | − | 187.518i | −0.0979739 | − | 0.340324i | ||||
\(552\) | −22.1936 | − | 17.6019i | −0.0402057 | − | 0.0318875i | ||||
\(553\) | 0.609880 | + | 0.221978i | 0.00110286 | + | 0.000401407i | ||||
\(554\) | −11.3887 | + | 2.00813i | −0.0205572 | + | 0.00362479i | ||||
\(555\) | −117.682 | − | 132.634i | −0.212040 | − | 0.238980i | ||||
\(556\) | −545.871 | − | 198.681i | −0.981782 | − | 0.357340i | ||||
\(557\) | −343.329 | − | 943.288i | −0.616389 | − | 1.69351i | −0.715655 | − | 0.698454i | \(-0.753872\pi\) |
0.0992661 | − | 0.995061i | \(-0.468351\pi\) | |||||||
\(558\) | −17.3078 | + | 4.04786i | −0.0310175 | + | 0.00725424i | ||||
\(559\) | −236.525 | − | 409.673i | −0.423121 | − | 0.732868i | ||||
\(560\) | 0.829858 | + | 2.28002i | 0.00148189 | + | 0.00407146i | ||||
\(561\) | 568.956 | − | 504.819i | 1.01418 | − | 0.899855i | ||||
\(562\) | 1.92513 | − | 3.33443i | 0.00342551 | − | 0.00593315i | ||||
\(563\) | 72.9961i | 0.129656i | 0.997896 | + | 0.0648278i | \(0.0206498\pi\) | ||||
−0.997896 | + | 0.0648278i | \(0.979350\pi\) | |||||||
\(564\) | −408.165 | − | 460.022i | −0.723696 | − | 0.815642i | ||||
\(565\) | 614.720 | + | 223.740i | 1.08800 | + | 0.396000i | ||||
\(566\) | −38.8184 | − | 6.84473i | −0.0685837 | − | 0.0120932i | ||||
\(567\) | 2.11198 | + | 2.87228i | 0.00372483 | + | 0.00506575i | ||||
\(568\) | −13.6759 | + | 11.4755i | −0.0240773 | + | 0.0202033i | ||||
\(569\) | 484.989 | + | 280.009i | 0.852354 | + | 0.492107i | 0.861444 | − | 0.507852i | \(-0.169560\pi\) |
−0.00909041 | + | 0.999959i | \(0.502894\pi\) | |||||||
\(570\) | 12.0500 | + | 10.9870i | 0.0211404 | + | 0.0192754i | ||||
\(571\) | −174.520 | − | 302.277i | −0.305639 | − | 0.529383i | 0.671764 | − | 0.740765i | \(-0.265537\pi\) |
−0.977403 | + | 0.211382i | \(0.932203\pi\) | |||||||
\(572\) | 335.276 | − | 921.163i | 0.586146 | − | 1.61042i | ||||
\(573\) | −737.671 | − | 399.161i | −1.28738 | − | 0.696616i | ||||
\(574\) | 0.191834 | + | 0.160968i | 0.000334205 | + | 0.000280432i | ||||
\(575\) | 183.166 | − | 32.2970i | 0.318549 | − | 0.0561688i | ||||
\(576\) | −257.375 | + | 508.710i | −0.446832 | + | 0.883177i | ||||
\(577\) | −225.027 | + | 389.758i | −0.389995 | + | 0.675491i | −0.992448 | − | 0.122663i | \(-0.960857\pi\) |
0.602453 | + | 0.798154i | \(0.294190\pi\) | |||||||
\(578\) | − | 14.5125i | − | 0.0251081i | ||||||
\(579\) | −132.498 | − | 646.526i | −0.228839 | − | 1.11662i | ||||
\(580\) | −24.6623 | + | 139.867i | −0.0425212 | + | 0.241149i | ||||
\(581\) | −0.898561 | − | 0.518784i | −0.00154658 | − | 0.000892916i | ||||
\(582\) | −3.12769 | − | 7.90701i | −0.00537404 | − | 0.0135859i | ||||
\(583\) | −154.892 | + | 878.438i | −0.265681 | + | 1.50675i | ||||
\(584\) | 9.42012 | − | 1.66102i | 0.0161303 | − | 0.00284422i | ||||
\(585\) | −35.8991 | − | 649.532i | −0.0613659 | − | 1.11031i | ||||
\(586\) | 35.1672 | + | 12.7998i | 0.0600124 | + | 0.0218427i | ||||
\(587\) | 48.5606 | − | 8.56254i | 0.0827267 | − | 0.0145870i | −0.132132 | − | 0.991232i | \(-0.542182\pi\) |
0.214858 | + | 0.976645i | \(0.431071\pi\) | |||||||
\(588\) | 85.9320 | − | 580.649i | 0.146143 | − | 0.987499i | ||||
\(589\) | 453.164 | + | 31.2092i | 0.769378 | + | 0.0529867i | ||||
\(590\) | −5.80232 | + | 3.34997i | −0.00983444 | + | 0.00567791i | ||||
\(591\) | 64.4225 | + | 34.8597i | 0.109006 | + | 0.0589842i | ||||
\(592\) | 208.117 | − | 174.631i | 0.351550 | − | 0.294985i | ||||
\(593\) | 163.808 | + | 28.8837i | 0.276236 | + | 0.0487078i | 0.310050 | − | 0.950720i | \(-0.399654\pi\) |
−0.0338140 | + | 0.999428i | \(0.510765\pi\) | |||||||
\(594\) | −6.67725 | − | 25.3706i | −0.0112412 | − | 0.0427114i | ||||
\(595\) | 3.08759 | − | 1.12379i | 0.00518923 | − | 0.00188872i | ||||
\(596\) | −689.581 | + | 398.130i | −1.15701 | + | 0.668003i | ||||
\(597\) | −592.002 | − | 469.523i | −0.991629 | − | 0.786470i | ||||
\(598\) | −4.28130 | + | 24.2805i | −0.00715937 | + | 0.0406028i | ||||
\(599\) | 686.282 | + | 121.010i | 1.14571 | + | 0.202020i | 0.714103 | − | 0.700040i | \(-0.246835\pi\) |
0.431610 | + | 0.902061i | \(0.357946\pi\) | |||||||
\(600\) | 9.47754 | + | 23.9598i | 0.0157959 | + | 0.0399331i | ||||
\(601\) | −319.376 | − | 553.175i | −0.531408 | − | 0.920425i | −0.999328 | − | 0.0366543i | \(-0.988330\pi\) |
0.467920 | − | 0.883771i | \(-0.345003\pi\) | |||||||
\(602\) | −0.0281859 | − | 0.0774401i | −4.68204e−5 | − | 0.000128638i | ||||
\(603\) | −107.428 | + | 896.061i | −0.178156 | + | 1.48600i | ||||
\(604\) | −92.7993 | + | 526.291i | −0.153641 | + | 0.871343i | ||||
\(605\) | −38.6030 | − | 46.0052i | −0.0638066 | − | 0.0760417i | ||||
\(606\) | −14.6518 | + | 0.404589i | −0.0241780 | + | 0.000667638i | ||||
\(607\) | 299.129 | + | 518.106i | 0.492799 | + | 0.853553i | 0.999966 | − | 0.00829528i | \(-0.00264050\pi\) |
−0.507167 | + | 0.861848i | \(0.669307\pi\) | |||||||
\(608\) | −52.1600 | + | 54.1271i | −0.0857895 | + | 0.0890249i | ||||
\(609\) | −0.842687 | + | 1.06251i | −0.00138372 | + | 0.00174468i | ||||
\(610\) | 5.13587 | + | 29.1270i | 0.00841947 | + | 0.0477492i | ||||
\(611\) | −366.471 | + | 1006.87i | −0.599789 | + | 1.64791i | ||||
\(612\) | 691.266 | + | 349.737i | 1.12952 | + | 0.571465i | ||||
\(613\) | 98.9401 | + | 561.117i | 0.161403 | + | 0.915363i | 0.952696 | + | 0.303925i | \(0.0982973\pi\) |
−0.791293 | + | 0.611437i | \(0.790592\pi\) | |||||||
\(614\) | 2.52651 | + | 0.445492i | 0.00411483 | + | 0.000725556i | ||||
\(615\) | 560.615 | + | 444.629i | 0.911569 | + | 0.722974i | ||||
\(616\) | 0.170921 | − | 0.296043i | 0.000277469 | − | 0.000480590i | ||||
\(617\) | 1090.76 | + | 192.331i | 1.76785 | + | 0.311720i | 0.960485 | − | 0.278331i | \(-0.0897814\pi\) |
0.807366 | + | 0.590051i | \(0.200892\pi\) | |||||||
\(618\) | 7.42634 | − | 22.3007i | 0.0120167 | − | 0.0360852i | ||||
\(619\) | −809.161 | −1.30721 | −0.653604 | − | 0.756837i | \(-0.726744\pi\) | ||||
−0.653604 | + | 0.756837i | \(0.726744\pi\) | |||||||
\(620\) | −286.314 | − | 165.303i | −0.461797 | − | 0.266618i | ||||
\(621\) | −161.608 | − | 350.632i | −0.260238 | − | 0.564624i | ||||
\(622\) | −3.33669 | − | 18.9233i | −0.00536445 | − | 0.0304233i | ||||
\(623\) | −3.75967 | + | 4.48060i | −0.00603478 | + | 0.00719197i | ||||
\(624\) | 996.332 | − | 27.5122i | 1.59669 | − | 0.0440901i | ||||
\(625\) | 122.765 | + | 44.6830i | 0.196425 | + | 0.0714928i | ||||
\(626\) | −7.02858 | + | 4.05795i | −0.0112278 | + | 0.00648235i | ||||
\(627\) | −27.5833 | + | 669.859i | −0.0439925 | + | 1.06836i | ||||
\(628\) | −139.772 | + | 242.092i | −0.222566 | + | 0.385496i | ||||
\(629\) | −236.485 | − | 281.832i | −0.375970 | − | 0.448063i | ||||
\(630\) | 0.0134902 | − | 0.112522i | 2.14130e−5 | − | 0.000178606i | ||||
\(631\) | −17.1269 | + | 97.1317i | −0.0271425 | + | 0.153933i | −0.995367 | − | 0.0961506i | \(-0.969347\pi\) |
0.968224 | + | 0.250084i | \(0.0804581\pi\) | |||||||
\(632\) | 3.33019 | − | 9.14961i | 0.00526928 | − | 0.0144772i | ||||
\(633\) | 497.950 | + | 165.822i | 0.786650 | + | 0.261962i | ||||
\(634\) | −21.5097 | −0.0339269 | ||||||||
\(635\) | −311.840 | − | 180.041i | −0.491086 | − | 0.283529i | ||||
\(636\) | −889.998 | + | 182.395i | −1.39937 | + | 0.286784i | ||||
\(637\) | −960.993 | + | 349.773i | −1.50862 | + | 0.549094i | ||||
\(638\) | 8.64213 | − | 4.98954i | 0.0135457 | − | 0.00782059i | ||||
\(639\) | −236.934 | + | 55.4131i | −0.370789 | + | 0.0867185i | ||||
\(640\) | 68.5282 | − | 24.9422i | 0.107075 | − | 0.0389722i | ||||
\(641\) | 412.391 | − | 1133.04i | 0.643356 | − | 1.76761i | 0.00243784 | − | 0.999997i | \(-0.499224\pi\) |
0.640918 | − | 0.767609i | \(-0.278554\pi\) | |||||||
\(642\) | −30.9268 | − | 10.2989i | −0.0481726 | − | 0.0160419i | ||||
\(643\) | −193.960 | − | 1100.00i | −0.301649 | − | 1.71074i | −0.638874 | − | 0.769311i | \(-0.720600\pi\) |
0.337225 | − | 0.941424i | \(-0.390512\pi\) | |||||||
\(644\) | 0.859571 | − | 2.36165i | 0.00133474 | − | 0.00366716i | ||||
\(645\) | −86.6127 | − | 218.963i | −0.134283 | − | 0.339477i | ||||
\(646\) | 24.3633 | + | 23.4779i | 0.0377141 | + | 0.0363435i | ||||
\(647\) | − | 532.011i | − | 0.822273i | −0.911574 | − | 0.411137i | \(-0.865132\pi\) | ||
0.911574 | − | 0.411137i | \(-0.134868\pi\) | |||||||
\(648\) | 43.0908 | − | 31.6845i | 0.0664981 | − | 0.0488959i | ||||
\(649\) | −258.842 | − | 94.2108i | −0.398832 | − | 0.145163i | ||||
\(650\) | 14.4156 | − | 17.1799i | 0.0221779 | − | 0.0264306i | ||||
\(651\) | −1.65326 | − | 2.68925i | −0.00253956 | − | 0.00413095i | ||||
\(652\) | 296.316 | + | 248.639i | 0.454473 | + | 0.381348i | ||||
\(653\) | 676.691i | 1.03628i | 0.855296 | + | 0.518140i | \(0.173375\pi\) | ||||
−0.855296 | + | 0.518140i | \(0.826625\pi\) | |||||||
\(654\) | −6.58621 | − | 16.6504i | −0.0100707 | − | 0.0254593i | ||||
\(655\) | 453.438 | − | 165.038i | 0.692272 | − | 0.251966i | ||||
\(656\) | −704.697 | + | 839.826i | −1.07423 | + | 1.28022i | ||||
\(657\) | 124.787 | + | 37.7621i | 0.189934 | + | 0.0574766i | ||||
\(658\) | −0.0933321 | + | 0.161656i | −0.000141842 | + | 0.000245678i | ||||
\(659\) | 885.432 | + | 156.126i | 1.34360 | + | 0.236913i | 0.798772 | − | 0.601634i | \(-0.205484\pi\) |
0.544829 | + | 0.838547i | \(0.316595\pi\) | |||||||
\(660\) | 232.220 | − | 429.156i | 0.351849 | − | 0.650236i | ||||
\(661\) | −777.004 | + | 282.806i | −1.17550 | + | 0.427846i | −0.854610 | − | 0.519271i | \(-0.826204\pi\) |
−0.320888 | + | 0.947117i | \(0.603981\pi\) | |||||||
\(662\) | −47.1641 | + | 8.31630i | −0.0712448 | + | 0.0125624i | ||||
\(663\) | −37.2569 | − | 1349.23i | −0.0561945 | − | 2.03504i | ||||
\(664\) | −7.78296 | + | 13.4805i | −0.0117213 | + | 0.0203019i | ||||
\(665\) | −1.17516 | + | 2.64695i | −0.00176716 | + | 0.00398038i | ||||
\(666\) | −12.3559 | + | 2.88974i | −0.0185524 | + | 0.00433895i | ||||
\(667\) | 112.499 | − | 94.3982i | 0.168665 | − | 0.141527i | ||||
\(668\) | −93.6318 | − | 111.586i | −0.140167 | − | 0.167045i | ||||
\(669\) | −326.283 | − | 108.655i | −0.487717 | − | 0.162415i | ||||
\(670\) | 21.9759 | − | 18.4399i | 0.0327998 | − | 0.0275223i | ||||
\(671\) | −781.609 | + | 931.486i | −1.16484 | + | 1.38821i | ||||
\(672\) | 0.516771 | + | 0.0764785i | 0.000769005 | + | 0.000113807i | ||||
\(673\) | 205.010 | 0.304621 | 0.152310 | − | 0.988333i | \(-0.451329\pi\) | ||||
0.152310 | + | 0.988333i | \(0.451329\pi\) | |||||||
\(674\) | −4.64894 | + | 5.54039i | −0.00689754 | + | 0.00822017i | ||||
\(675\) | −32.1636 | + | 349.712i | −0.0476497 | + | 0.518092i | ||||
\(676\) | −532.337 | − | 922.035i | −0.787481 | − | 1.36396i | ||||
\(677\) | −260.930 | + | 150.648i | −0.385421 | + | 0.222523i | −0.680174 | − | 0.733051i | \(-0.738096\pi\) |
0.294753 | + | 0.955573i | \(0.404762\pi\) | |||||||
\(678\) | 35.0179 | − | 31.0704i | 0.0516488 | − | 0.0458265i | ||||
\(679\) | 1.15684 | − | 0.970704i | 0.00170374 | − | 0.00142961i | ||||
\(680\) | −16.8594 | − | 46.3210i | −0.0247933 | − | 0.0681191i | ||||
\(681\) | 288.291 | + | 155.997i | 0.423335 | + | 0.229071i | ||||
\(682\) | 4.03376 | + | 22.8766i | 0.00591460 | + | 0.0335433i | ||||
\(683\) | 802.869i | 1.17550i | 0.809041 | + | 0.587752i | \(0.199987\pi\) | ||||
−0.809041 | + | 0.587752i | \(0.800013\pi\) | |||||||
\(684\) | −644.758 | + | 224.828i | −0.942629 | + | 0.328696i | ||||
\(685\) | −565.088 | −0.824947 | ||||||||
\(686\) | −0.350912 | + | 0.0618752i | −0.000511533 | + | 9.01971e-5i | ||||
\(687\) | −359.429 | − | 584.662i | −0.523187 | − | 0.851036i | ||||
\(688\) | 339.023 | − | 123.394i | 0.492767 | − | 0.179352i | ||||
\(689\) | 1017.43 | + | 1212.53i | 1.47668 | + | 1.75984i | ||||
\(690\) | −3.87754 | + | 11.6439i | −0.00561962 | + | 0.0168752i | ||||
\(691\) | −103.472 | − | 179.219i | −0.149743 | − | 0.259362i | 0.781390 | − | 0.624043i | \(-0.214511\pi\) |
−0.931132 | + | 0.364682i | \(0.881178\pi\) | |||||||
\(692\) | 525.737 | − | 303.535i | 0.759736 | − | 0.438634i | ||||
\(693\) | 3.90030 | − | 2.54874i | 0.00562814 | − | 0.00367783i | ||||
\(694\) | 10.6441 | + | 8.93148i | 0.0153374 | + | 0.0128696i | ||||
\(695\) | 503.791i | 0.724879i | ||||||||
\(696\) | 15.9401 | + | 12.6422i | 0.0229024 | + | 0.0181641i | ||||
\(697\) | 1137.29 | + | 954.298i | 1.63169 | + | 1.36915i | ||||
\(698\) | 33.2383 | + | 39.6118i | 0.0476193 | + | 0.0567505i | ||||
\(699\) | 558.989 | − | 114.558i | 0.799698 | − | 0.163889i | ||||
\(700\) | −1.75123 | + | 1.46946i | −0.00250176 | + | 0.00209923i | ||||
\(701\) | 286.338 | + | 341.244i | 0.408471 | + | 0.486796i | 0.930583 | − | 0.366080i | \(-0.119300\pi\) |
−0.522113 | + | 0.852877i | \(0.674856\pi\) | |||||||
\(702\) | −42.1040 | − | 19.8618i | −0.0599772 | − | 0.0282932i | ||||
\(703\) | 323.510 | + | 22.2800i | 0.460185 | + | 0.0316927i | ||||
\(704\) | 645.245 | + | 372.532i | 0.916541 | + | 0.529165i | ||||
\(705\) | −253.827 | + | 469.085i | −0.360038 | + | 0.665369i | ||||
\(706\) | −1.35719 | − | 7.69699i | −0.00192236 | − | 0.0109022i | ||||
\(707\) | −0.890327 | − | 2.44615i | −0.00125930 | − | 0.00345990i | ||||
\(708\) | −7.74405 | − | 280.444i | −0.0109379 | − | 0.396108i | ||||
\(709\) | 3.79633 | − | 21.5301i | 0.00535449 | − | 0.0303668i | −0.982013 | − | 0.188811i | \(-0.939537\pi\) |
0.987368 | + | 0.158444i | \(0.0506478\pi\) | |||||||
\(710\) | 6.69851 | + | 3.86739i | 0.00943452 | + | 0.00544702i | ||||
\(711\) | 96.7998 | − | 90.7850i | 0.136146 | − | 0.127686i | ||||
\(712\) | 67.2193 | + | 56.4037i | 0.0944092 | + | 0.0792187i | ||||
\(713\) | 116.922 | + | 321.241i | 0.163986 | + | 0.450549i | ||||
\(714\) | 0.0344240 | − | 0.232605i | 4.82128e−5 | − | 0.000325778i | ||||
\(715\) | −850.152 | −1.18902 | ||||||||
\(716\) | 535.586 | − | 638.287i | 0.748025 | − | 0.891462i | ||||
\(717\) | −954.188 | − | 516.321i | −1.33081 | − | 0.720113i | ||||
\(718\) | −10.1708 | − | 8.53434i | −0.0141655 | − | 0.0118863i | ||||
\(719\) | 62.4823 | − | 171.669i | 0.0869016 | − | 0.238760i | −0.888628 | − | 0.458629i | \(-0.848341\pi\) |
0.975529 | + | 0.219869i | \(0.0705629\pi\) | |||||||
\(720\) | 492.607 | + | 59.0584i | 0.684176 | + | 0.0820255i | ||||
\(721\) | 4.17440 | 0.00578974 | ||||||||
\(722\) | −29.8019 | + | 1.10350i | −0.0412768 | + | 0.00152839i | ||||
\(723\) | 84.7812 | − | 572.873i | 0.117263 | − | 0.792356i | ||||
\(724\) | 417.493 | + | 151.955i | 0.576647 | + | 0.209882i | ||||
\(725\) | −131.555 | + | 23.1967i | −0.181455 | + | 0.0319955i | ||||
\(726\) | −4.21027 | + | 0.862846i | −0.00579927 | + | 0.00118849i | ||||
\(727\) | 56.5810 | + | 20.5938i | 0.0778280 | + | 0.0283271i | 0.380641 | − | 0.924723i | \(-0.375703\pi\) |
−0.302813 | + | 0.953050i | \(0.597926\pi\) | |||||||
\(728\) | −0.207470 | − | 0.570020i | −0.000284987 | − | 0.000782994i | ||||
\(729\) | 719.022 | − | 120.199i | 0.986313 | − | 0.164883i | ||||
\(730\) | −2.07215 | − | 3.58906i | −0.00283856 | − | 0.00491652i | ||||
\(731\) | −167.100 | − | 459.104i | −0.228591 | − | 0.628049i | ||||
\(732\) | −1175.03 | − | 391.297i | −1.60523 | − | 0.534558i | ||||
\(733\) | −722.971 | + | 1252.22i | −0.986317 | + | 1.70835i | −0.350388 | + | 0.936605i | \(0.613950\pi\) |
−0.635930 | + | 0.771747i | \(0.719383\pi\) | |||||||
\(734\) | 53.6636i | 0.0731112i | ||||||||
\(735\) | −498.690 | + | 102.201i | −0.678490 | + | 0.139049i | ||||
\(736\) | −53.1604 | − | 19.3488i | −0.0722288 | − | 0.0262891i | ||||
\(737\) | 1161.51 | + | 204.805i | 1.57599 | + | 0.277890i | ||||
\(738\) | 47.0779 | − | 20.1421i | 0.0637912 | − | 0.0272928i | ||||
\(739\) | −429.969 | + | 360.787i | −0.581825 | + | 0.488210i | −0.885546 | − | 0.464552i | \(-0.846216\pi\) |
0.303721 | + | 0.952761i | \(0.401771\pi\) | |||||||
\(740\) | −204.397 | − | 118.009i | −0.276213 | − | 0.159471i | ||||
\(741\) | 879.114 | + | 801.560i | 1.18639 | + | 1.08173i | ||||
\(742\) | 0.137874 | + | 0.238805i | 0.000185814 | + | 0.000321839i | ||||
\(743\) | −24.1989 | + | 66.4858i | −0.0325691 | + | 0.0894829i | −0.954911 | − | 0.296891i | \(-0.904050\pi\) |
0.922342 | + | 0.386374i | \(0.126272\pi\) | |||||||
\(744\) | −40.3449 | + | 24.8026i | −0.0542271 | + | 0.0333369i | ||||
\(745\) | 528.999 | + | 443.883i | 0.710065 | + | 0.595816i | ||||
\(746\) | −24.2445 | + | 4.27495i | −0.0324993 | + | 0.00573050i | ||||
\(747\) | −177.602 | + | 116.058i | −0.237754 | + | 0.155365i | ||||
\(748\) | 506.220 | − | 876.798i | 0.676764 | − | 1.17219i | ||||
\(749\) | − | 5.78911i | − | 0.00772912i | ||||||
\(750\) | 24.4000 | − | 21.6494i | 0.0325333 | − | 0.0288659i | ||||
\(751\) | 149.440 | − | 847.515i | 0.198988 | − | 1.12852i | −0.707636 | − | 0.706577i | \(-0.750238\pi\) |
0.906624 | − | 0.421939i | \(-0.138650\pi\) | |||||||
\(752\) | −707.710 | − | 408.597i | −0.941104 | − | 0.543346i | ||||
\(753\) | 500.576 | + | 74.0817i | 0.664776 | + | 0.0983821i | ||||
\(754\) | 3.07496 | − | 17.4390i | 0.00407820 | − | 0.0231286i | ||||
\(755\) | 456.428 | − | 80.4805i | 0.604540 | − | 0.106597i | ||||
\(756\) | 3.87510 | + | 2.73914i | 0.00512580 | + | 0.00362320i | ||||
\(757\) | 647.382 | + | 235.628i | 0.855194 | + | 0.311265i | 0.732156 | − | 0.681137i | \(-0.238514\pi\) |
0.123038 | + | 0.992402i | \(0.460736\pi\) | |||||||
\(758\) | −18.8057 | + | 3.31595i | −0.0248096 | + | 0.00437460i | ||||
\(759\) | −469.188 | + | 185.592i | −0.618166 | + | 0.244521i | ||||
\(760\) | 39.7104 | + | 17.6302i | 0.0522506 | + | 0.0231976i | ||||
\(761\) | 160.525 | − | 92.6794i | 0.210940 | − | 0.121786i | −0.390808 | − | 0.920472i | \(-0.627804\pi\) |
0.601748 | + | 0.798686i | \(0.294471\pi\) | |||||||
\(762\) | −21.9522 | + | 13.4954i | −0.0288086 | + | 0.0177105i | ||||
\(763\) | 2.43604 | − | 2.04408i | 0.00319271 | − | 0.00267901i | ||||
\(764\) | −1099.45 | − | 193.863i | −1.43907 | − | 0.253748i | ||||
\(765\) | 79.9766 | − | 667.086i | 0.104545 | − | 0.872008i | ||||
\(766\) | 34.2172 | − | 12.4541i | 0.0446700 | − | 0.0162586i | ||||
\(767\) | −423.310 | + | 244.398i | −0.551904 | + | 0.318642i | ||||
\(768\) | −110.521 | + | 746.797i | −0.143907 | + | 0.972392i | ||||
\(769\) | −98.4484 | + | 558.329i | −0.128021 | + | 0.726045i | 0.851446 | + | 0.524442i | \(0.175726\pi\) |
−0.979467 | + | 0.201603i | \(0.935385\pi\) | |||||||
\(770\) | −0.145855 | − | 0.0257182i | −0.000189422 | − | 3.34002e-5i | ||||
\(771\) | 620.213 | + | 91.7872i | 0.804427 | + | 0.119050i | ||||
\(772\) | −439.225 | − | 760.759i | −0.568944 | − | 0.985440i | ||||
\(773\) | −480.026 | − | 1318.86i | −0.620991 | − | 1.70616i | −0.704549 | − | 0.709655i | \(-0.748851\pi\) |
0.0835582 | − | 0.996503i | \(-0.473372\pi\) | |||||||
\(774\) | −16.7313 | − | 2.00590i | −0.0216166 | − | 0.00259160i | ||||
\(775\) | 53.9977 | − | 306.236i | 0.0696745 | − | 0.395144i | ||||
\(776\) | −14.5628 | − | 17.3553i | −0.0187665 | − | 0.0223650i | ||||
\(777\) | −1.18025 | − | 1.91983i | −0.00151898 | − | 0.00247083i | ||||
\(778\) | 9.52677 | + | 16.5009i | 0.0122452 | + | 0.0212093i | ||||
\(779\) | −1301.25 | + | 138.152i | −1.67042 | + | 0.177345i | ||||
\(780\) | −318.497 | − | 805.180i | −0.408329 | − | 1.03228i | ||||
\(781\) | 55.2199 | + | 313.168i | 0.0707042 | + | 0.400983i | ||||
\(782\) | −8.70915 | + | 23.9282i | −0.0111370 | + | 0.0305987i | ||||
\(783\) | 116.072 | + | 251.834i | 0.148240 | + | 0.321627i | ||||
\(784\) | −135.438 | − | 768.109i | −0.172753 | − | 0.979731i | ||||
\(785\) | 238.752 | + | 42.0984i | 0.304142 | + | 0.0536285i | ||||
\(786\) | 5.05544 | − | 34.1600i | 0.00643186 | − | 0.0434606i | ||||
\(787\) | 90.3676 | − | 156.521i | 0.114825 | − | 0.198883i | −0.802885 | − | 0.596135i | \(-0.796702\pi\) |
0.917710 | + | 0.397251i | \(0.130036\pi\) | |||||||
\(788\) | 96.0178 | + | 16.9305i | 0.121850 | + | 0.0214854i | ||||
\(789\) | 283.412 | + | 319.419i | 0.359203 | + | 0.404840i | ||||
\(790\) | −4.21854 | −0.00533992 | ||||||||
\(791\) | 7.20035 | + | 4.15712i | 0.00910284 | + | 0.00525553i | ||||
\(792\) | −38.2369 | − | 58.5135i | −0.0482789 | − | 0.0738807i | ||||
\(793\) | 374.690 | + | 2124.97i | 0.472497 | + | 2.67966i | ||||
\(794\) | 17.0767 | − | 20.3512i | 0.0215072 | − | 0.0256313i | ||||
\(795\) | 412.632 | + | 671.204i | 0.519034 | + | 0.844281i | ||||
\(796\) | −945.083 | − | 343.982i | −1.18729 | − | 0.432138i | ||||
\(797\) | −8.29822 | + | 4.79098i | −0.0104118 | + | 0.00601126i | −0.505197 | − | 0.863004i | \(-0.668580\pi\) |
0.494785 | + | 0.869015i | \(0.335247\pi\) | |||||||
\(798\) | 0.126576 | + | 0.164113i | 0.000158616 | + | 0.000205655i | ||||
\(799\) | −553.320 | + | 958.378i | −0.692515 | + | 1.19947i | ||||
\(800\) | 33.0773 | + | 39.4200i | 0.0413466 | + | 0.0492750i | ||||
\(801\) | 470.452 | + | 1099.58i | 0.587331 | + | 1.37276i | ||||
\(802\) | 3.50024 | − | 19.8509i | 0.00436439 | − | 0.0247517i | ||||
\(803\) | 58.2747 | − | 160.108i | 0.0725712 | − | 0.199388i | ||||
\(804\) | 241.170 | + | 1176.79i | 0.299963 | + | 1.46367i | ||||
\(805\) | −2.17960 | −0.00270757 | ||||||||
\(806\) | 35.6984 | + | 20.6105i | 0.0442909 | + | 0.0255713i | ||||
\(807\) | −423.393 | + | 1271.41i | −0.524651 | + | 1.57548i | ||||
\(808\) | −36.6979 | + | 13.3570i | −0.0454182 | + | 0.0165309i | ||||
\(809\) | −458.728 | + | 264.847i | −0.567031 | + | 0.327375i | −0.755963 | − | 0.654615i | \(-0.772831\pi\) |
0.188932 | + | 0.981990i | \(0.439497\pi\) | |||||||
\(810\) | −19.2850 | − | 12.8484i | −0.0238086 | − | 0.0158622i | ||||
\(811\) | −1086.41 | + | 395.420i | −1.33959 | + | 0.487570i | −0.909683 | − | 0.415304i | \(-0.863675\pi\) |
−0.429906 | + | 0.902874i | \(0.641453\pi\) | |||||||
\(812\) | −0.617370 | + | 1.69621i | −0.000760308 | + | 0.00208893i | ||||
\(813\) | 190.814 | + | 931.082i | 0.234704 | + | 1.14524i | ||||
\(814\) | 2.87967 | + | 16.3314i | 0.00353767 | + | 0.0200632i | ||||
\(815\) | 114.736 | − | 315.234i | 0.140780 | − | 0.386791i | ||||
\(816\) | 1018.32 | + | 150.704i | 1.24794 | + | 0.184686i | ||||
\(817\) | 393.585 | + | 174.739i | 0.481744 | + | 0.213879i | ||||
\(818\) | − | 22.9001i | − | 0.0279952i | ||||||
\(819\) | 0.984182 | − | 8.20908i | 0.00120169 | − | 0.0100233i | ||||
\(820\) | 894.975 | + | 325.744i | 1.09143 | + | 0.397249i | ||||
\(821\) | 843.712 | − | 1005.50i | 1.02766 | − | 1.22472i | 0.0535730 | − | 0.998564i | \(-0.482939\pi\) |
0.974091 | − | 0.226158i | \(-0.0726165\pi\) | |||||||
\(822\) | −19.2454 | + | 35.5665i | −0.0234129 | + | 0.0432683i | ||||
\(823\) | −643.982 | − | 540.365i | −0.782481 | − | 0.656579i | 0.161391 | − | 0.986890i | \(-0.448402\pi\) |
−0.943872 | + | 0.330311i | \(0.892846\pi\) | |||||||
\(824\) | − | 62.6257i | − | 0.0760021i | ||||||
\(825\) | 454.014 | + | 67.1909i | 0.550320 | + | 0.0814435i | ||||
\(826\) | −0.0800180 | + | 0.0291242i | −9.68740e−5 | + | 3.52593e-5i | ||||
\(827\) | −51.7505 | + | 61.6739i | −0.0625762 | + | 0.0745754i | −0.796425 | − | 0.604738i | \(-0.793278\pi\) |
0.733848 | + | 0.679313i | \(0.237722\pi\) | |||||||
\(828\) | −351.549 | − | 374.840i | −0.424576 | − | 0.452705i | ||||
\(829\) | 223.158 | − | 386.520i | 0.269189 | − | 0.466249i | −0.699464 | − | 0.714668i | \(-0.746578\pi\) |
0.968653 | + | 0.248419i | \(0.0799111\pi\) | |||||||
\(830\) | 6.64158 | + | 1.17109i | 0.00800190 | + | 0.00141095i | ||||
\(831\) | −419.801 | + | 11.5922i | −0.505176 | + | 0.0139497i | ||||
\(832\) | 1242.39 | − | 452.194i | 1.49326 | − | 0.543503i | ||||
\(833\) | −1040.17 | + | 183.410i | −1.24870 | + | 0.220180i | ||||
\(834\) | 31.7085 | + | 17.1578i | 0.0380197 | + | 0.0205729i | ||||
\(835\) | −63.1644 | + | 109.404i | −0.0756459 | + | 0.131023i | ||||
\(836\) | 246.875 | + | 857.549i | 0.295305 | + | 1.02578i | ||||
\(837\) | −643.283 | + | 53.3985i | −0.768557 | + | 0.0637974i | ||||
\(838\) | 15.8768 | − | 13.3222i | 0.0189460 | − | 0.0158976i | ||||
\(839\) | 1.46891 | + | 1.75058i | 0.00175079 | + | 0.00208651i | 0.766919 | − | 0.641744i | \(-0.221789\pi\) |
−0.765168 | + | 0.643830i | \(0.777344\pi\) | |||||||
\(840\) | −0.0606211 | − | 0.295801i | −7.21679e−5 | − | 0.000352145i | ||||
\(841\) | 563.443 | − | 472.785i | 0.669968 | − | 0.562170i | ||||
\(842\) | −9.25784 | + | 11.0331i | −0.0109951 | + | 0.0131034i | ||||
\(843\) | 86.8857 | − | 109.551i | 0.103067 | − | 0.129953i | ||||
\(844\) | 698.585 | 0.827707 | ||||||||
\(845\) | −593.513 | + | 707.322i | −0.702383 | + | 0.837067i | ||||
\(846\) | 20.8795 | + | 31.9516i | 0.0246802 | + | 0.0377678i | ||||
\(847\) | −0.381640 | − | 0.661020i | −0.000450579 | − | 0.000780425i | ||||
\(848\) | −1045.46 | + | 603.595i | −1.23285 | + | 0.711787i | ||||
\(849\) | −1358.12 | − | 452.266i | −1.59966 | − | 0.532704i | ||||
\(850\) | 17.7435 | − | 14.8885i | 0.0208747 | − | 0.0175159i | ||||
\(851\) | 83.4699 | + | 229.332i | 0.0980845 | + | 0.269485i | ||||
\(852\) | −275.915 | + | 169.623i | −0.323843 | + | 0.199087i | ||||
\(853\) | −173.425 | − | 983.543i | −0.203312 | − | 1.15304i | −0.900074 | − | 0.435737i | \(-0.856488\pi\) |
0.696762 | − | 0.717302i | \(-0.254623\pi\) | |||||||
\(854\) | 0.375902i | 0.000440167i | ||||||||
\(855\) | 374.471 | + | 458.759i | 0.437978 | + | 0.536560i | ||||
\(856\) | −86.8500 | −0.101460 | ||||||||
\(857\) | −529.375 | + | 93.3431i | −0.617707 | + | 0.108918i | −0.473741 | − | 0.880664i | \(-0.657097\pi\) |
−0.143966 | + | 0.989583i | \(0.545986\pi\) | |||||||
\(858\) | −28.9539 | + | 53.5083i | −0.0337458 | + | 0.0623640i | ||||
\(859\) | 1129.86 | − | 411.236i | 1.31532 | − | 0.478738i | 0.413365 | − | 0.910565i | \(-0.364353\pi\) |
0.901956 | + | 0.431828i | \(0.142131\pi\) | |||||||
\(860\) | −201.466 | − | 240.098i | −0.234263 | − | 0.279183i | ||||
\(861\) | 6.03563 | + | 6.80246i | 0.00701003 | + | 0.00790065i | ||||
\(862\) | −17.6375 | − | 30.5491i | −0.0204611 | − | 0.0354397i | ||||
\(863\) | −22.1872 | + | 12.8098i | −0.0257094 | + | 0.0148433i | −0.512800 | − | 0.858508i | \(-0.671392\pi\) |
0.487090 | + | 0.873352i | \(0.338058\pi\) | |||||||
\(864\) | 61.6576 | − | 87.2280i | 0.0713630 | − | 0.100958i | ||||
\(865\) | −403.309 | − | 338.417i | −0.466253 | − | 0.391233i | ||||
\(866\) | 38.0640i | 0.0439538i | ||||||||
\(867\) | 77.1551 | − | 521.343i | 0.0889909 | − | 0.601319i | ||||
\(868\) | −3.21882 | − | 2.70091i | −0.00370832 | − | 0.00311165i | ||||
\(869\) | −111.483 | − | 132.860i | −0.128288 | − | 0.152888i | ||||
\(870\) | 2.78497 | − | 8.36302i | 0.00320111 | − | 0.00961266i | ||||
\(871\) | 1603.26 | − | 1345.29i | 1.84071 | − | 1.54454i | ||||
\(872\) | −30.6659 | − | 36.5462i | −0.0351674 | − | 0.0419108i | ||||
\(873\) | −70.3213 | − | 300.679i | −0.0805513 | − | 0.344420i | ||||
\(874\) | −9.86010 | − | 20.1623i | −0.0112816 | − | 0.0230690i | ||||
\(875\) | 5.01711 | + | 2.89663i | 0.00573384 | + | 0.00331043i | ||||
\(876\) | 173.471 | − | 4.79013i | 0.198026 | − | 0.00546819i | ||||
\(877\) | 71.1865 | + | 403.719i | 0.0811704 | + | 0.460340i | 0.998117 | + | 0.0613314i | \(0.0195347\pi\) |
−0.916947 | + | 0.399009i | \(0.869354\pi\) | |||||||
\(878\) | −18.8218 | − | 51.7123i | −0.0214371 | − | 0.0588979i | ||||
\(879\) | 1195.29 | + | 646.785i | 1.35983 | + | 0.735819i | ||||
\(880\) | 112.591 | − | 638.535i | 0.127944 | − | 0.725608i | ||||
\(881\) | 260.724 | + | 150.529i | 0.295941 | + | 0.170861i | 0.640618 | − | 0.767860i | \(-0.278678\pi\) |
−0.344677 | + | 0.938721i | \(0.612012\pi\) | |||||||
\(882\) | −10.5516 | + | 34.8681i | −0.0119632 | + | 0.0395330i | ||||
\(883\) | 207.061 | + | 173.745i | 0.234497 | + | 0.196766i | 0.752462 | − | 0.658635i | \(-0.228866\pi\) |
−0.517965 | + | 0.855402i | \(0.673310\pi\) | |||||||
\(884\) | −614.469 | − | 1688.24i | −0.695101 | − | 1.90977i | ||||
\(885\) | −226.252 | + | 89.4959i | −0.255651 | + | 0.101125i | ||||
\(886\) | −57.5353 | −0.0649383 | ||||||||
\(887\) | 710.831 | − | 847.135i | 0.801387 | − | 0.955056i | −0.198298 | − | 0.980142i | \(-0.563541\pi\) |
0.999685 | + | 0.0250856i | \(0.00798584\pi\) | |||||||
\(888\) | −28.8019 | + | 17.7064i | −0.0324346 | + | 0.0199397i | ||||
\(889\) | −3.50579 | − | 2.94171i | −0.00394352 | − | 0.00330901i | ||||
\(890\) | 13.0028 | − | 35.7249i | 0.0146099 | − | 0.0401403i | ||||
\(891\) | −104.990 | − | 946.909i | −0.117834 | − | 1.06275i | ||||
\(892\) | −457.750 | −0.513172 | ||||||||
\(893\) | −269.845 | − | 937.337i | −0.302178 | − | 1.04965i | ||||
\(894\) | 45.9541 | − | 18.1776i | 0.0514028 | − | 0.0203329i | ||||
\(895\) | −679.037 | − | 247.149i | −0.758701 | − | 0.276145i | ||||
\(896\) | 0.912780 | − | 0.160948i | 0.00101873 | − | 0.000179629i | ||||
\(897\) | −282.887 | + | 849.487i | −0.315371 | + | 0.947031i | ||||
\(898\) | −26.4104 | − | 9.61259i | −0.0294102 | − | 0.0107044i | ||||
\(899\) | −83.9771 | − | 230.725i | −0.0934117 | − | 0.256646i | ||||
\(900\) | 106.453 | + | 455.170i | 0.118281 | + | 0.505744i | ||||
\(901\) | 817.386 | + | 1415.75i | 0.907199 | + | 1.57131i | ||||
\(902\) | −22.8878 | − | 62.8838i | −0.0253745 | − | 0.0697159i | ||||
\(903\) | −0.600838 | − | 2.93180i | −0.000665379 | − | 0.00324673i | ||||
\(904\) | 62.3664 | − | 108.022i | 0.0689894 | − | 0.119493i | ||||
\(905\) | − | 385.309i | − | 0.425756i | ||||||
\(906\) | 10.4793 | − | 31.4684i | 0.0115665 | − | 0.0347333i | ||||
\(907\) | 827.870 | + | 301.320i | 0.912756 | + | 0.332216i | 0.755353 | − | 0.655318i | \(-0.227465\pi\) |
0.157403 | + | 0.987534i | \(0.449688\pi\) | |||||||
\(908\) | 429.680 | + | 75.7642i | 0.473216 | + | 0.0834407i | ||||
\(909\) | −528.501 | − | 63.3617i | −0.581410 | − | 0.0697049i | ||||
\(910\) | −0.201328 | + | 0.168934i | −0.000221239 | + | 0.000185642i | ||||
\(911\) | −886.142 | − | 511.614i | −0.972714 | − | 0.561596i | −0.0726511 | − | 0.997357i | \(-0.523146\pi\) |
−0.900062 | + | 0.435761i | \(0.856479\pi\) | |||||||
\(912\) | −718.466 | + | 554.133i | −0.787791 | + | 0.607602i | ||||
\(913\) | 138.633 | + | 240.120i | 0.151844 | + | 0.263001i | ||||
\(914\) | 22.0039 | − | 60.4552i | 0.0240743 | − | 0.0661436i | ||||
\(915\) | 29.6475 | + | 1073.66i | 0.0324016 | + | 1.17340i | ||||
\(916\) | −699.794 | − | 587.197i | −0.763967 | − | 0.641045i | ||||
\(917\) | 6.03969 | − | 1.06496i | 0.00658635 | − | 0.00116135i | ||||
\(918\) | −39.2625 | − | 27.7529i | −0.0427696 | − | 0.0302319i | ||||
\(919\) | 829.182 | − | 1436.18i | 0.902265 | − | 1.56277i | 0.0777186 | − | 0.996975i | \(-0.475236\pi\) |
0.824547 | − | 0.565794i | \(-0.191430\pi\) | |||||||
\(920\) | 32.6989i | 0.0355423i | ||||||||
\(921\) | 88.3934 | + | 29.4359i | 0.0959755 | + | 0.0319608i | ||||
\(922\) | 8.91183 | − | 50.5415i | 0.00966576 | − | 0.0548172i | ||||
\(923\) | 488.693 | + | 282.147i | 0.529461 | + | 0.305684i | ||||
\(924\) | 3.85373 | − | 4.85901i | 0.00417070 | − | 0.00525867i | ||||
\(925\) | 38.5486 | − | 218.620i | 0.0416741 | − | 0.236346i | ||||
\(926\) | −20.8504 | + | 3.67648i | −0.0225166 | + | 0.00397028i | ||||
\(927\) | 385.344 | − | 761.644i | 0.415689 | − | 0.821622i | ||||
\(928\) | 38.1814 | + | 13.8969i | 0.0411438 | + | 0.0149751i | ||||
\(929\) | −92.3772 | + | 16.2886i | −0.0994373 | + | 0.0175335i | −0.223145 | − | 0.974785i | \(-0.571632\pi\) |
0.123708 | + | 0.992319i | \(0.460521\pi\) | |||||||
\(930\) | 16.0763 | + | 12.7502i | 0.0172863 | + | 0.0137099i | ||||
\(931\) | 519.776 | − | 772.351i | 0.558298 | − | 0.829593i | ||||
\(932\) | 657.756 | − | 379.756i | 0.705747 | − | 0.407463i | ||||
\(933\) | −19.2615 | − | 697.537i | −0.0206446 | − | 0.747628i | ||||
\(934\) | −23.9494 | + | 20.0960i | −0.0256418 | + | 0.0215160i | ||||
\(935\) | −864.702 | − | 152.470i | −0.924815 | − | 0.163070i | ||||
\(936\) | −123.155 | − | 14.7650i | −0.131576 | − | 0.0157746i | ||||
\(937\) | 739.232 | − | 269.058i | 0.788935 | − | 0.287149i | 0.0840417 | − | 0.996462i | \(-0.473217\pi\) |
0.704893 | + | 0.709313i | \(0.250995\pi\) | |||||||
\(938\) | 0.315758 | − | 0.182303i | 0.000336628 | − | 0.000194353i | ||||
\(939\) | −274.068 | + | 108.410i | −0.291872 | + | 0.115453i | ||||
\(940\) | −123.278 | + | 699.143i | −0.131147 | + | 0.743770i | ||||
\(941\) | 1071.45 | + | 188.925i | 1.13863 | + | 0.200771i | 0.711006 | − | 0.703186i | \(-0.248240\pi\) |
0.427623 | + | 0.903957i | \(0.359351\pi\) | |||||||
\(942\) | 10.7809 | − | 13.5932i | 0.0114447 | − | 0.0144302i | ||||
\(943\) | −492.412 | − | 852.883i | −0.522176 | − | 0.904435i | ||||
\(944\) | −127.502 | − | 350.309i | −0.135066 | − | 0.371090i | ||||
\(945\) | 1.08284 | − | 3.97050i | 0.00114586 | − | 0.00420159i | ||||
\(946\) | −3.82412 | + | 21.6877i | −0.00404241 | + | 0.0229257i | ||||
\(947\) | −1008.06 | − | 1201.35i | −1.06447 | − | 1.26859i | −0.961765 | − | 0.273877i | \(-0.911694\pi\) |
−0.102707 | − | 0.994712i | \(-0.532750\pi\) | |||||||
\(948\) | 84.0665 | − | 155.359i | 0.0886778 | − | 0.163881i | ||||
\(949\) | −151.174 | − | 261.841i | −0.159298 | − | 0.275913i | ||||
\(950\) | −1.40270 | + | 20.3674i | −0.00147652 | + | 0.0214394i | ||||
\(951\) | −772.711 | − | 114.356i | −0.812524 | − | 0.120248i | ||||
\(952\) | −0.108791 | − | 0.616984i | −0.000114276 | − | 0.000648093i | ||||
\(953\) | 387.024 | − | 1063.34i | 0.406112 | − | 1.11578i | −0.553105 | − | 0.833111i | \(-0.686557\pi\) |
0.959217 | − | 0.282671i | \(-0.0912206\pi\) | |||||||
\(954\) | 56.2986 | − | 3.11157i | 0.0590132 | − | 0.00326161i | ||||
\(955\) | 168.129 | + | 953.505i | 0.176051 | + | 0.998434i | ||||
\(956\) | −1422.16 | − | 250.765i | −1.48761 | − | 0.262307i | ||||
\(957\) | 336.985 | − | 133.298i | 0.352127 | − | 0.139287i | ||||
\(958\) | 2.55037 | − | 4.41736i | 0.00266218 | − | 0.00461103i | ||||
\(959\) | −7.07292 | − | 1.24715i | −0.00737531 | − | 0.00130047i | ||||
\(960\) | 644.718 | − | 132.127i | 0.671581 | − | 0.137633i | ||||
\(961\) | −389.445 | −0.405249 | ||||||||
\(962\) | 25.4848 | + | 14.7137i | 0.0264915 | + | 0.0152949i | ||||
\(963\) | −1056.26 | − | 534.399i | −1.09684 | − | 0.554931i | ||||
\(964\) | −133.854 | − | 759.123i | −0.138852 | − | 0.787472i | ||||
\(965\) | −489.700 | + | 583.602i | −0.507461 | + | 0.604769i | ||||
\(966\) | −0.0742312 | + | 0.137183i | −7.68439e−5 | + | 0.000142012i | ||||
\(967\) | −455.292 | − | 165.713i | −0.470829 | − | 0.171368i | 0.0956987 | − | 0.995410i | \(-0.469491\pi\) |
−0.566528 | + | 0.824042i | \(0.691714\pi\) | |||||||
\(968\) | −9.91683 | + | 5.72548i | −0.0102447 | + | 0.00591475i | ||||
\(969\) | 750.404 | + | 972.943i | 0.774411 | + | 1.00407i | ||||
\(970\) | −4.90786 | + | 8.50067i | −0.00505965 | + | 0.00876357i | ||||
\(971\) | 927.860 | + | 1105.78i | 0.955571 | + | 1.13881i | 0.990235 | + | 0.139406i | \(0.0445194\pi\) |
−0.0346642 | + | 0.999399i | \(0.511036\pi\) | |||||||
\(972\) | 857.486 | − | 454.182i | 0.882187 | − | 0.467265i | ||||
\(973\) | −1.11186 | + | 6.30569i | −0.00114272 | + | 0.00648067i | ||||
\(974\) | −6.13843 | + | 16.8652i | −0.00630229 | + | 0.0173154i | ||||
\(975\) | 609.201 | − | 540.527i | 0.624821 | − | 0.554386i | ||||
\(976\) | −1645.65 | −1.68612 | ||||||||
\(977\) | 114.674 | + | 66.2070i | 0.117374 | + | 0.0677656i | 0.557537 | − | 0.830152i | \(-0.311746\pi\) |
−0.440164 | + | 0.897917i | \(0.645080\pi\) | |||||||
\(978\) | −15.9332 | − | 17.9575i | −0.0162916 | − | 0.0183614i | ||||
\(979\) | 1468.75 | − | 534.583i | 1.50026 | − | 0.546050i | ||||
\(980\) | −586.803 | + | 338.791i | −0.598779 | + | 0.345705i | ||||
\(981\) | −148.081 | − | 633.161i | −0.150949 | − | 0.645424i | ||||
\(982\) | 46.7257 | − | 17.0067i | 0.0475821 | − | 0.0173185i | ||||
\(983\) | 458.488 | − | 1259.68i | 0.466417 | − | 1.28147i | −0.454164 | − | 0.890918i | \(-0.650062\pi\) |
0.920581 | − | 0.390551i | \(-0.127716\pi\) | |||||||
\(984\) | 102.053 | − | 90.5484i | 0.103712 | − | 0.0920207i | ||||
\(985\) | −14.6831 | − | 83.2718i | −0.0149067 | − | 0.0845399i | ||||
\(986\) | 6.25518 | − | 17.1860i | 0.00634399 | − | 0.0174300i | ||||
\(987\) | −4.21229 | + | 5.31111i | −0.00426777 | + | 0.00538106i | ||||
\(988\) | 1447.31 | + | 642.559i | 1.46489 | + | 0.650364i | ||||
\(989\) | 324.091i | 0.327696i | ||||||||
\(990\) | −18.1564 | + | 24.2380i | −0.0183398 | + | 0.0244828i | ||||
\(991\) | −817.034 | − | 297.376i | −0.824454 | − | 0.300077i | −0.104874 | − | 0.994486i | \(-0.533444\pi\) |
−0.719581 | + | 0.694409i | \(0.755666\pi\) | |||||||
\(992\) | −60.7971 | + | 72.4552i | −0.0612874 | + | 0.0730395i | ||||
\(993\) | −1738.53 | + | 48.0069i | −1.75078 | + | 0.0483453i | ||||
\(994\) | 0.0753065 | + | 0.0631897i | 7.57611e−5 | + | 6.35711e-5i | ||||
\(995\) | 872.228i | 0.876611i | ||||||||
\(996\) | −175.481 | + | 221.257i | −0.176186 | + | 0.222146i | ||||
\(997\) | −463.640 | + | 168.751i | −0.465035 | + | 0.169259i | −0.563902 | − | 0.825842i | \(-0.690700\pi\) |
0.0988671 | + | 0.995101i | \(0.468478\pi\) | |||||||
\(998\) | 15.6997 | − | 18.7101i | 0.0157311 | − | 0.0187476i | ||||
\(999\) | −459.234 | + | 38.1208i | −0.459694 | + | 0.0381589i |
(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 | 171.3.z.a.101.20 | ✓ | 228 | |
9.5 | odd | 6 | 171.3.bf.a.158.20 | yes | 228 | ||
19.16 | even | 9 | 171.3.bf.a.92.20 | yes | 228 | ||
171.149 | odd | 18 | inner | 171.3.z.a.149.20 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.3.z.a.101.20 | ✓ | 228 | 1.1 | even | 1 | trivial | |
171.3.z.a.149.20 | yes | 228 | 171.149 | odd | 18 | inner | |
171.3.bf.a.92.20 | yes | 228 | 19.16 | even | 9 | ||
171.3.bf.a.158.20 | yes | 228 | 9.5 | odd | 6 |