Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(53,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bf (of order \(8\), degree \(4\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 53.1 | ||
Character | \(\chi\) | \(=\) | 416.53 |
Dual form | 416.2.bf.a.157.1 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41213 | − | 0.0766792i | −0.998529 | − | 0.0542204i | ||||
\(3\) | 2.98623 | − | 1.23694i | 1.72410 | − | 0.714146i | 0.724407 | − | 0.689373i | \(-0.242114\pi\) |
0.999693 | − | 0.0247726i | \(-0.00788619\pi\) | |||||||
\(4\) | 1.98824 | + | 0.216563i | 0.994120 | + | 0.108281i | ||||
\(5\) | −1.24588 | + | 3.00782i | −0.557175 | + | 1.34514i | 0.354819 | + | 0.934935i | \(0.384542\pi\) |
−0.911994 | + | 0.410204i | \(0.865458\pi\) | |||||||
\(6\) | −4.31180 | + | 1.51774i | −1.76028 | + | 0.619614i | ||||
\(7\) | 2.81433 | + | 2.81433i | 1.06372 | + | 1.06372i | 0.997827 | + | 0.0658916i | \(0.0209891\pi\) |
0.0658916 | + | 0.997827i | \(0.479011\pi\) | |||||||
\(8\) | −2.79105 | − | 0.458272i | −0.986787 | − | 0.162024i | ||||
\(9\) | 5.26623 | − | 5.26623i | 1.75541 | − | 1.75541i | ||||
\(10\) | 1.98999 | − | 4.15191i | 0.629289 | − | 1.31295i | ||||
\(11\) | −2.28952 | − | 0.948348i | −0.690315 | − | 0.285938i | 0.00981654 | − | 0.999952i | \(-0.496875\pi\) |
−0.700131 | + | 0.714014i | \(0.746875\pi\) | |||||||
\(12\) | 6.20521 | − | 1.81262i | 1.79129 | − | 0.523259i | ||||
\(13\) | −0.382683 | − | 0.923880i | −0.106137 | − | 0.256238i | ||||
\(14\) | −3.75841 | − | 4.19002i | −1.00448 | − | 1.11983i | ||||
\(15\) | 10.5231i | 2.71706i | ||||||||
\(16\) | 3.90620 | + | 0.861157i | 0.976550 | + | 0.215289i | ||||
\(17\) | 5.03098i | 1.22019i | 0.792328 | + | 0.610095i | \(0.208869\pi\) | ||||
−0.792328 | + | 0.610095i | \(0.791131\pi\) | |||||||
\(18\) | −7.84043 | + | 7.03281i | −1.84801 | + | 1.65765i | ||||
\(19\) | −0.451597 | − | 1.09025i | −0.103603 | − | 0.250121i | 0.863574 | − | 0.504222i | \(-0.168220\pi\) |
−0.967178 | + | 0.254101i | \(0.918220\pi\) | |||||||
\(20\) | −3.12849 | + | 5.71046i | −0.699552 | + | 1.27690i | ||||
\(21\) | 11.8854 | + | 4.92309i | 2.59361 | + | 1.07431i | ||||
\(22\) | 3.16038 | + | 1.51475i | 0.673796 | + | 0.322946i | ||||
\(23\) | −3.29411 | + | 3.29411i | −0.686870 | + | 0.686870i | −0.961539 | − | 0.274669i | \(-0.911432\pi\) |
0.274669 | + | 0.961539i | \(0.411432\pi\) | |||||||
\(24\) | −8.90158 | + | 2.08385i | −1.81703 | + | 0.425364i | ||||
\(25\) | −3.95924 | − | 3.95924i | −0.791848 | − | 0.791848i | ||||
\(26\) | 0.469558 | + | 1.33398i | 0.0920878 | + | 0.261616i | ||||
\(27\) | 5.50136 | − | 13.2815i | 1.05874 | − | 2.55602i | ||||
\(28\) | 4.98609 | + | 6.20505i | 0.942283 | + | 1.17264i | ||||
\(29\) | 6.38189 | − | 2.64347i | 1.18509 | − | 0.490879i | 0.298935 | − | 0.954273i | \(-0.403368\pi\) |
0.886152 | + | 0.463394i | \(0.153368\pi\) | |||||||
\(30\) | 0.806905 | − | 14.8600i | 0.147320 | − | 2.71306i | ||||
\(31\) | −2.68063 | −0.481455 | −0.240727 | − | 0.970593i | \(-0.577386\pi\) | ||||
−0.240727 | + | 0.970593i | \(0.577386\pi\) | |||||||
\(32\) | −5.45004 | − | 1.51559i | −0.963441 | − | 0.267922i | ||||
\(33\) | −8.01006 | −1.39437 | ||||||||
\(34\) | 0.385771 | − | 7.10441i | 0.0661592 | − | 1.21840i | ||||
\(35\) | −11.9713 | + | 4.95869i | −2.02353 | + | 0.838172i | ||||
\(36\) | 11.6110 | − | 9.33006i | 1.93517 | − | 1.55501i | ||||
\(37\) | 2.87519 | − | 6.94132i | 0.472678 | − | 1.14115i | −0.490296 | − | 0.871556i | \(-0.663112\pi\) |
0.962975 | − | 0.269591i | \(-0.0868885\pi\) | |||||||
\(38\) | 0.554115 | + | 1.57421i | 0.0898893 | + | 0.255370i | ||||
\(39\) | −2.28556 | − | 2.28556i | −0.365983 | − | 0.365983i | ||||
\(40\) | 4.85572 | − | 7.82404i | 0.767757 | − | 1.23709i | ||||
\(41\) | 5.68170 | − | 5.68170i | 0.887332 | − | 0.887332i | −0.106934 | − | 0.994266i | \(-0.534103\pi\) |
0.994266 | + | 0.106934i | \(0.0341033\pi\) | |||||||
\(42\) | −16.4063 | − | 7.86343i | −2.53154 | − | 1.21335i | ||||
\(43\) | −2.51795 | − | 1.04297i | −0.383984 | − | 0.159051i | 0.182337 | − | 0.983236i | \(-0.441634\pi\) |
−0.566321 | + | 0.824185i | \(0.691634\pi\) | |||||||
\(44\) | −4.34673 | − | 2.38137i | −0.655294 | − | 0.359005i | ||||
\(45\) | 9.27879 | + | 22.4010i | 1.38320 | + | 3.33934i | ||||
\(46\) | 4.90431 | − | 4.39913i | 0.723102 | − | 0.648617i | ||||
\(47\) | − | 2.66003i | − | 0.388006i | −0.981001 | − | 0.194003i | \(-0.937853\pi\) | ||
0.981001 | − | 0.194003i | \(-0.0621471\pi\) | |||||||
\(48\) | 12.7300 | − | 2.26011i | 1.83742 | − | 0.326219i | ||||
\(49\) | 8.84095i | 1.26299i | ||||||||
\(50\) | 5.28738 | + | 5.89457i | 0.747749 | + | 0.833618i | ||||
\(51\) | 6.22300 | + | 15.0236i | 0.871394 | + | 2.10373i | ||||
\(52\) | −0.560789 | − | 1.91977i | −0.0777674 | − | 0.266224i | ||||
\(53\) | −4.80489 | − | 1.99025i | −0.660002 | − | 0.273382i | 0.0274375 | − | 0.999624i | \(-0.491265\pi\) |
−0.687439 | + | 0.726242i | \(0.741265\pi\) | |||||||
\(54\) | −8.78707 | + | 18.3334i | −1.19577 | + | 2.49485i | ||||
\(55\) | 5.70493 | − | 5.70493i | 0.769252 | − | 0.769252i | ||||
\(56\) | −6.56523 | − | 9.14469i | −0.877316 | − | 1.22201i | ||||
\(57\) | −2.69714 | − | 2.69714i | −0.357245 | − | 0.357245i | ||||
\(58\) | −9.21478 | + | 3.24357i | −1.20996 | + | 0.425901i | ||||
\(59\) | 4.29152 | − | 10.3607i | 0.558709 | − | 1.34884i | −0.352080 | − | 0.935970i | \(-0.614525\pi\) |
0.910789 | − | 0.412873i | \(-0.135475\pi\) | |||||||
\(60\) | −2.27891 | + | 20.9225i | −0.294207 | + | 2.70108i | ||||
\(61\) | −7.28600 | + | 3.01796i | −0.932877 | + | 0.386410i | −0.796769 | − | 0.604284i | \(-0.793459\pi\) |
−0.136108 | + | 0.990694i | \(0.543459\pi\) | |||||||
\(62\) | 3.78540 | + | 0.205548i | 0.480746 | + | 0.0261047i | ||||
\(63\) | 29.6419 | 3.73452 | ||||||||
\(64\) | 7.57997 | + | 2.55812i | 0.947497 | + | 0.319766i | ||||
\(65\) | 3.25564 | 0.403813 | ||||||||
\(66\) | 11.3113 | + | 0.614206i | 1.39232 | + | 0.0756035i | ||||
\(67\) | 7.16645 | − | 2.96844i | 0.875521 | − | 0.362653i | 0.100763 | − | 0.994910i | \(-0.467872\pi\) |
0.774758 | + | 0.632258i | \(0.217872\pi\) | |||||||
\(68\) | −1.08952 | + | 10.0028i | −0.132124 | + | 1.21302i | ||||
\(69\) | −5.76236 | + | 13.9116i | −0.693707 | + | 1.67476i | ||||
\(70\) | 17.2854 | − | 6.08438i | 2.06600 | − | 0.727223i | ||||
\(71\) | −4.87700 | − | 4.87700i | −0.578794 | − | 0.578794i | 0.355777 | − | 0.934571i | \(-0.384216\pi\) |
−0.934571 | + | 0.355777i | \(0.884216\pi\) | |||||||
\(72\) | −17.1117 | + | 12.2850i | −2.01663 | + | 1.44780i | ||||
\(73\) | −4.84461 | + | 4.84461i | −0.567018 | + | 0.567018i | −0.931292 | − | 0.364274i | \(-0.881317\pi\) |
0.364274 | + | 0.931292i | \(0.381317\pi\) | |||||||
\(74\) | −4.59241 | + | 9.58161i | −0.533857 | + | 1.11384i | ||||
\(75\) | −16.7205 | − | 6.92587i | −1.93072 | − | 0.799731i | ||||
\(76\) | −0.661775 | − | 2.26548i | −0.0759108 | − | 0.259868i | ||||
\(77\) | −3.77449 | − | 9.11243i | −0.430143 | − | 1.03846i | ||||
\(78\) | 3.05226 | + | 3.40277i | 0.345600 | + | 0.385288i | ||||
\(79\) | 1.23125i | 0.138526i | 0.997598 | + | 0.0692630i | \(0.0220648\pi\) | ||||
−0.997598 | + | 0.0692630i | \(0.977935\pi\) | |||||||
\(80\) | −7.45687 | + | 10.6763i | −0.833703 | + | 1.19364i | ||||
\(81\) | − | 24.1236i | − | 2.68040i | ||||||
\(82\) | −8.45898 | + | 7.58765i | −0.934138 | + | 0.837915i | ||||
\(83\) | −0.0450971 | − | 0.108874i | −0.00495005 | − | 0.0119505i | 0.921385 | − | 0.388651i | \(-0.127059\pi\) |
−0.926335 | + | 0.376700i | \(0.877059\pi\) | |||||||
\(84\) | 22.5649 | + | 12.3622i | 2.46203 | + | 1.34883i | ||||
\(85\) | −15.1323 | − | 6.26799i | −1.64133 | − | 0.679860i | ||||
\(86\) | 3.47571 | + | 1.66589i | 0.374795 | + | 0.179637i | ||||
\(87\) | 15.7880 | − | 15.7880i | 1.69265 | − | 1.69265i | ||||
\(88\) | 5.95556 | + | 3.69611i | 0.634865 | + | 0.394007i | ||||
\(89\) | −2.37318 | − | 2.37318i | −0.251556 | − | 0.251556i | 0.570052 | − | 0.821609i | \(-0.306923\pi\) |
−0.821609 | + | 0.570052i | \(0.806923\pi\) | |||||||
\(90\) | −11.3852 | − | 32.3446i | −1.20010 | − | 3.40943i | ||||
\(91\) | 1.52311 | − | 3.67710i | 0.159665 | − | 0.385465i | ||||
\(92\) | −7.26287 | + | 5.83610i | −0.757206 | + | 0.608456i | ||||
\(93\) | −8.00496 | + | 3.31576i | −0.830076 | + | 0.343829i | ||||
\(94\) | −0.203969 | + | 3.75632i | −0.0210378 | + | 0.387435i | ||||
\(95\) | 3.84192 | 0.394172 | ||||||||
\(96\) | −18.1498 | + | 2.21545i | −1.85240 | + | 0.226113i | ||||
\(97\) | −5.42571 | −0.550898 | −0.275449 | − | 0.961316i | \(-0.588826\pi\) | ||||
−0.275449 | + | 0.961316i | \(0.588826\pi\) | |||||||
\(98\) | 0.677918 | − | 12.4846i | 0.0684800 | − | 1.26114i | ||||
\(99\) | −17.0513 | + | 7.06289i | −1.71372 | + | 0.709847i | ||||
\(100\) | −7.01450 | − | 8.72935i | −0.701450 | − | 0.872935i | ||||
\(101\) | 1.71982 | − | 4.15201i | 0.171128 | − | 0.413140i | −0.814926 | − | 0.579565i | \(-0.803222\pi\) |
0.986054 | + | 0.166425i | \(0.0532224\pi\) | |||||||
\(102\) | −7.63570 | − | 21.6926i | −0.756047 | − | 2.14788i | ||||
\(103\) | −5.04947 | − | 5.04947i | −0.497539 | − | 0.497539i | 0.413132 | − | 0.910671i | \(-0.364435\pi\) |
−0.910671 | + | 0.413132i | \(0.864435\pi\) | |||||||
\(104\) | 0.644702 | + | 2.75397i | 0.0632183 | + | 0.270049i | ||||
\(105\) | −29.6156 | + | 29.6156i | −2.89018 | + | 2.89018i | ||||
\(106\) | 6.63253 | + | 3.17893i | 0.644208 | + | 0.308765i | ||||
\(107\) | 1.05578 | + | 0.437319i | 0.102066 | + | 0.0422772i | 0.433132 | − | 0.901330i | \(-0.357408\pi\) |
−0.331066 | + | 0.943608i | \(0.607408\pi\) | |||||||
\(108\) | 13.8143 | − | 25.2154i | 1.32928 | − | 2.42635i | ||||
\(109\) | 4.72303 | + | 11.4024i | 0.452384 | + | 1.09215i | 0.971413 | + | 0.237396i | \(0.0762937\pi\) |
−0.519029 | + | 0.854757i | \(0.673706\pi\) | |||||||
\(110\) | −8.49356 | + | 7.61867i | −0.809830 | + | 0.726411i | ||||
\(111\) | − | 24.2848i | − | 2.30501i | ||||||
\(112\) | 8.56977 | + | 13.4169i | 0.809767 | + | 1.26778i | ||||
\(113\) | 15.2252i | 1.43227i | 0.697964 | + | 0.716133i | \(0.254089\pi\) | ||||
−0.697964 | + | 0.716133i | \(0.745911\pi\) | |||||||
\(114\) | 3.60191 | + | 4.01554i | 0.337350 | + | 0.376090i | ||||
\(115\) | −5.80403 | − | 14.0122i | −0.541229 | − | 1.30664i | ||||
\(116\) | 13.2612 | − | 3.87377i | 1.23127 | − | 0.359670i | ||||
\(117\) | −6.88066 | − | 2.85006i | −0.636117 | − | 0.263488i | ||||
\(118\) | −6.85465 | + | 14.3016i | −0.631022 | + | 1.31656i | ||||
\(119\) | −14.1588 | + | 14.1588i | −1.29794 | + | 1.29794i | ||||
\(120\) | 4.82245 | − | 29.3706i | 0.440228 | − | 2.68116i | ||||
\(121\) | −3.43566 | − | 3.43566i | −0.312333 | − | 0.312333i | ||||
\(122\) | 10.5202 | − | 3.70308i | 0.952456 | − | 0.335261i | ||||
\(123\) | 9.93895 | − | 23.9947i | 0.896165 | − | 2.16353i | ||||
\(124\) | −5.32973 | − | 0.580523i | −0.478624 | − | 0.0521325i | ||||
\(125\) | 1.80233 | − | 0.746548i | 0.161205 | − | 0.0667733i | ||||
\(126\) | −41.8582 | − | 2.27292i | −3.72903 | − | 0.202487i | ||||
\(127\) | −4.37941 | −0.388609 | −0.194305 | − | 0.980941i | \(-0.562245\pi\) | ||||
−0.194305 | + | 0.980941i | \(0.562245\pi\) | |||||||
\(128\) | −10.5078 | − | 4.19364i | −0.928765 | − | 0.370669i | ||||
\(129\) | −8.80926 | −0.775612 | ||||||||
\(130\) | −4.59740 | − | 0.249640i | −0.403219 | − | 0.0218949i | ||||
\(131\) | −13.8357 | + | 5.73093i | −1.20883 | + | 0.500714i | −0.893842 | − | 0.448381i | \(-0.852001\pi\) |
−0.314988 | + | 0.949096i | \(0.602001\pi\) | |||||||
\(132\) | −15.9259 | − | 1.73468i | −1.38617 | − | 0.150985i | ||||
\(133\) | 1.79739 | − | 4.33927i | 0.155853 | − | 0.376263i | ||||
\(134\) | −10.3476 | + | 3.64231i | −0.893896 | + | 0.314648i | ||||
\(135\) | 33.0942 | + | 33.0942i | 2.84830 | + | 2.84830i | ||||
\(136\) | 2.30556 | − | 14.0417i | 0.197700 | − | 1.20407i | ||||
\(137\) | 6.40347 | − | 6.40347i | 0.547085 | − | 0.547085i | −0.378512 | − | 0.925597i | \(-0.623564\pi\) |
0.925597 | + | 0.378512i | \(0.123564\pi\) | |||||||
\(138\) | 9.20395 | − | 19.2031i | 0.783492 | − | 1.63468i | ||||
\(139\) | 11.2427 | + | 4.65688i | 0.953594 | + | 0.394992i | 0.804580 | − | 0.593844i | \(-0.202390\pi\) |
0.149013 | + | 0.988835i | \(0.452390\pi\) | |||||||
\(140\) | −24.8758 | + | 7.26653i | −2.10239 | + | 0.614134i | ||||
\(141\) | −3.29029 | − | 7.94346i | −0.277092 | − | 0.668960i | ||||
\(142\) | 6.51301 | + | 7.26094i | 0.546560 | + | 0.609325i | ||||
\(143\) | 2.47815i | 0.207234i | ||||||||
\(144\) | 25.1060 | − | 16.0359i | 2.09217 | − | 1.33632i | ||||
\(145\) | 22.4890i | 1.86761i | ||||||||
\(146\) | 7.21271 | − | 6.46975i | 0.596928 | − | 0.535440i | ||||
\(147\) | 10.9357 | + | 26.4011i | 0.901961 | + | 2.17753i | ||||
\(148\) | 7.21980 | − | 13.1784i | 0.593464 | − | 1.08325i | ||||
\(149\) | 2.69314 | + | 1.11554i | 0.220631 | + | 0.0913883i | 0.490261 | − | 0.871576i | \(-0.336901\pi\) |
−0.269630 | + | 0.962964i | \(0.586901\pi\) | |||||||
\(150\) | 23.0805 | + | 11.0624i | 1.88452 | + | 0.903239i | ||||
\(151\) | −4.19802 | + | 4.19802i | −0.341630 | + | 0.341630i | −0.856980 | − | 0.515350i | \(-0.827662\pi\) |
0.515350 | + | 0.856980i | \(0.327662\pi\) | |||||||
\(152\) | 0.760800 | + | 3.24990i | 0.0617090 | + | 0.263602i | ||||
\(153\) | 26.4943 | + | 26.4943i | 2.14193 | + | 2.14193i | ||||
\(154\) | 4.63135 | + | 13.1574i | 0.373205 | + | 1.06025i | ||||
\(155\) | 3.33974 | − | 8.06285i | 0.268254 | − | 0.647623i | ||||
\(156\) | −4.04928 | − | 5.03921i | −0.324202 | − | 0.403460i | ||||
\(157\) | 14.2653 | − | 5.90890i | 1.13850 | − | 0.471582i | 0.267837 | − | 0.963464i | \(-0.413691\pi\) |
0.870662 | + | 0.491883i | \(0.163691\pi\) | |||||||
\(158\) | 0.0944110 | − | 1.73868i | 0.00751093 | − | 0.138322i | ||||
\(159\) | −16.8103 | −1.33314 | ||||||||
\(160\) | 11.3487 | − | 14.5045i | 0.897197 | − | 1.14668i | ||||
\(161\) | −18.5415 | −1.46127 | ||||||||
\(162\) | −1.84978 | + | 34.0658i | −0.145332 | + | 2.67646i | ||||
\(163\) | −6.27570 | + | 2.59948i | −0.491551 | + | 0.203607i | −0.614669 | − | 0.788785i | \(-0.710710\pi\) |
0.123119 | + | 0.992392i | \(0.460710\pi\) | |||||||
\(164\) | 12.5270 | − | 10.0661i | 0.978196 | − | 0.786033i | ||||
\(165\) | 9.97958 | − | 24.0928i | 0.776909 | − | 1.87563i | ||||
\(166\) | 0.0553348 | + | 0.157203i | 0.00429481 | + | 0.0122013i | ||||
\(167\) | 16.5953 | + | 16.5953i | 1.28418 | + | 1.28418i | 0.938267 | + | 0.345913i | \(0.112431\pi\) |
0.345913 | + | 0.938267i | \(0.387569\pi\) | |||||||
\(168\) | −30.9167 | − | 19.1874i | −2.38527 | − | 1.48034i | ||||
\(169\) | −0.707107 | + | 0.707107i | −0.0543928 | + | 0.0543928i | ||||
\(170\) | 20.8882 | + | 10.0116i | 1.60205 | + | 0.767853i | ||||
\(171\) | −8.11972 | − | 3.36330i | −0.620931 | − | 0.257198i | ||||
\(172\) | −4.78042 | − | 2.61897i | −0.364504 | − | 0.199694i | ||||
\(173\) | 2.99935 | + | 7.24108i | 0.228036 | + | 0.550529i | 0.995938 | − | 0.0900388i | \(-0.0286991\pi\) |
−0.767902 | + | 0.640568i | \(0.778699\pi\) | |||||||
\(174\) | −23.5054 | + | 21.0841i | −1.78194 | + | 1.59838i | ||||
\(175\) | − | 22.2853i | − | 1.68461i | ||||||
\(176\) | −8.12663 | − | 5.67607i | −0.612568 | − | 0.427850i | ||||
\(177\) | − | 36.2476i | − | 2.72454i | ||||||
\(178\) | 3.16927 | + | 3.53322i | 0.237547 | + | 0.264826i | ||||
\(179\) | −6.59756 | − | 15.9279i | −0.493124 | − | 1.19051i | −0.953122 | − | 0.302587i | \(-0.902150\pi\) |
0.459997 | − | 0.887920i | \(-0.347850\pi\) | |||||||
\(180\) | 13.5972 | + | 46.5480i | 1.01348 | + | 3.46948i | ||||
\(181\) | −2.64475 | − | 1.09549i | −0.196582 | − | 0.0814271i | 0.282220 | − | 0.959350i | \(-0.408929\pi\) |
−0.478803 | + | 0.877923i | \(0.658929\pi\) | |||||||
\(182\) | −2.43279 | + | 5.07577i | −0.180330 | + | 0.376241i | ||||
\(183\) | −18.0246 | + | 18.0246i | −1.33242 | + | 1.33242i | ||||
\(184\) | 10.7036 | − | 7.68444i | 0.789083 | − | 0.566505i | ||||
\(185\) | 17.2961 | + | 17.2961i | 1.27164 | + | 1.27164i | ||||
\(186\) | 11.5583 | − | 4.06849i | 0.847497 | − | 0.298316i | ||||
\(187\) | 4.77112 | − | 11.5185i | 0.348899 | − | 0.842316i | ||||
\(188\) | 0.576064 | − | 5.28878i | 0.0420138 | − | 0.385724i | ||||
\(189\) | 52.8612 | − | 21.8958i | 3.84508 | − | 1.59269i | ||||
\(190\) | −5.42530 | − | 0.294595i | −0.393593 | − | 0.0213722i | ||||
\(191\) | −16.3917 | −1.18606 | −0.593032 | − | 0.805179i | \(-0.702069\pi\) | ||||
−0.593032 | + | 0.805179i | \(0.702069\pi\) | |||||||
\(192\) | 25.7998 | − | 1.73680i | 1.86194 | − | 0.125343i | ||||
\(193\) | −7.28239 | −0.524198 | −0.262099 | − | 0.965041i | \(-0.584415\pi\) | ||||
−0.262099 | + | 0.965041i | \(0.584415\pi\) | |||||||
\(194\) | 7.66183 | + | 0.416039i | 0.550087 | + | 0.0298699i | ||||
\(195\) | 9.72209 | − | 4.02702i | 0.696214 | − | 0.288381i | ||||
\(196\) | −1.91462 | + | 17.5779i | −0.136759 | + | 1.25557i | ||||
\(197\) | −7.07961 | + | 17.0917i | −0.504401 | + | 1.21773i | 0.442663 | + | 0.896688i | \(0.354034\pi\) |
−0.947064 | + | 0.321044i | \(0.895966\pi\) | |||||||
\(198\) | 24.6203 | − | 8.66626i | 1.74969 | − | 0.615884i | ||||
\(199\) | −11.5241 | − | 11.5241i | −0.816920 | − | 0.816920i | 0.168740 | − | 0.985661i | \(-0.446030\pi\) |
−0.985661 | + | 0.168740i | \(0.946030\pi\) | |||||||
\(200\) | 9.23605 | + | 12.8649i | 0.653087 | + | 0.909684i | ||||
\(201\) | 17.7289 | − | 17.7289i | 1.25050 | − | 1.25050i | ||||
\(202\) | −2.74698 | + | 5.73131i | −0.193277 | + | 0.403254i | ||||
\(203\) | 25.4004 | + | 10.5212i | 1.78276 | + | 0.738442i | ||||
\(204\) | 9.11925 | + | 31.2183i | 0.638475 | + | 2.18572i | ||||
\(205\) | 10.0108 | + | 24.1683i | 0.699186 | + | 1.68798i | ||||
\(206\) | 6.74334 | + | 7.51772i | 0.469831 | + | 0.523784i | ||||
\(207\) | 34.6951i | 2.41147i | ||||||||
\(208\) | −0.699233 | − | 3.93841i | −0.0484831 | − | 0.273080i | ||||
\(209\) | 2.92442i | 0.202286i | ||||||||
\(210\) | 44.0920 | − | 39.5502i | 3.04264 | − | 2.72923i | ||||
\(211\) | −3.16194 | − | 7.63359i | −0.217677 | − | 0.525518i | 0.776888 | − | 0.629639i | \(-0.216797\pi\) |
−0.994565 | + | 0.104121i | \(0.966797\pi\) | |||||||
\(212\) | −9.12225 | − | 4.99765i | −0.626519 | − | 0.343240i | ||||
\(213\) | −20.5964 | − | 8.53130i | −1.41124 | − | 0.584555i | ||||
\(214\) | −1.45737 | − | 0.698509i | −0.0996238 | − | 0.0477491i | ||||
\(215\) | 6.27413 | − | 6.27413i | 0.427892 | − | 0.427892i | ||||
\(216\) | −21.4411 | + | 34.5482i | −1.45888 | + | 2.35071i | ||||
\(217\) | −7.54418 | − | 7.54418i | −0.512132 | − | 0.512132i | ||||
\(218\) | −5.79522 | − | 16.4639i | −0.392502 | − | 1.11507i | ||||
\(219\) | −8.47463 | + | 20.4596i | −0.572662 | + | 1.38253i | ||||
\(220\) | 12.5782 | − | 10.1073i | 0.848025 | − | 0.681433i | ||||
\(221\) | 4.64801 | − | 1.92527i | 0.312659 | − | 0.129508i | ||||
\(222\) | −1.86214 | + | 34.2934i | −0.124979 | + | 2.30162i | ||||
\(223\) | −7.05196 | −0.472234 | −0.236117 | − | 0.971725i | \(-0.575875\pi\) | ||||
−0.236117 | + | 0.971725i | \(0.575875\pi\) | |||||||
\(224\) | −11.0729 | − | 19.6036i | −0.739836 | − | 1.30982i | ||||
\(225\) | −41.7005 | −2.78004 | ||||||||
\(226\) | 1.16746 | − | 21.5000i | 0.0776580 | − | 1.43016i | ||||
\(227\) | 3.19053 | − | 1.32156i | 0.211763 | − | 0.0877151i | −0.274281 | − | 0.961650i | \(-0.588440\pi\) |
0.486043 | + | 0.873935i | \(0.338440\pi\) | |||||||
\(228\) | −4.77847 | − | 5.94667i | −0.316462 | − | 0.393828i | ||||
\(229\) | −6.59378 | + | 15.9188i | −0.435729 | + | 1.05194i | 0.541680 | + | 0.840585i | \(0.317789\pi\) |
−0.977409 | + | 0.211358i | \(0.932211\pi\) | |||||||
\(230\) | 7.12162 | + | 20.2321i | 0.469586 | + | 1.33406i | ||||
\(231\) | −22.5430 | − | 22.5430i | −1.48322 | − | 1.48322i | ||||
\(232\) | −19.0236 | + | 4.45342i | −1.24896 | + | 0.292381i | ||||
\(233\) | −12.1049 | + | 12.1049i | −0.793018 | + | 0.793018i | −0.981984 | − | 0.188965i | \(-0.939487\pi\) |
0.188965 | + | 0.981984i | \(0.439487\pi\) | |||||||
\(234\) | 9.49787 | + | 4.55227i | 0.620895 | + | 0.297591i | ||||
\(235\) | 8.00090 | + | 3.31408i | 0.521921 | + | 0.216187i | ||||
\(236\) | 10.7763 | − | 19.6701i | 0.701478 | − | 1.28041i | ||||
\(237\) | 1.52297 | + | 3.67678i | 0.0989277 | + | 0.238833i | ||||
\(238\) | 21.0799 | − | 18.9085i | 1.36640 | − | 1.22566i | ||||
\(239\) | − | 4.78738i | − | 0.309670i | −0.987940 | − | 0.154835i | \(-0.950515\pi\) | ||
0.987940 | − | 0.154835i | \(-0.0494846\pi\) | |||||||
\(240\) | −9.06206 | + | 41.1054i | −0.584953 | + | 2.65334i | ||||
\(241\) | 19.6957i | 1.26871i | 0.773041 | + | 0.634355i | \(0.218734\pi\) | ||||
−0.773041 | + | 0.634355i | \(0.781266\pi\) | |||||||
\(242\) | 4.58816 | + | 5.11505i | 0.294938 | + | 0.328808i | ||||
\(243\) | −13.3353 | − | 32.1942i | −0.855459 | − | 2.06526i | ||||
\(244\) | −15.1399 | + | 4.42256i | −0.969233 | + | 0.283125i | ||||
\(245\) | −26.5920 | − | 11.0148i | −1.69890 | − | 0.703708i | ||||
\(246\) | −15.8750 | + | 33.1217i | −1.01215 | + | 2.11176i | ||||
\(247\) | −0.834442 | + | 0.834442i | −0.0530943 | + | 0.0530943i | ||||
\(248\) | 7.48178 | + | 1.22846i | 0.475093 | + | 0.0780070i | ||||
\(249\) | −0.269341 | − | 0.269341i | −0.0170688 | − | 0.0170688i | ||||
\(250\) | −2.60237 | + | 0.916024i | −0.164588 | + | 0.0579344i | ||||
\(251\) | 3.39654 | − | 8.19996i | 0.214387 | − | 0.517577i | −0.779701 | − | 0.626152i | \(-0.784629\pi\) |
0.994088 | + | 0.108575i | \(0.0346288\pi\) | |||||||
\(252\) | 58.9351 | + | 6.41932i | 3.71256 | + | 0.404379i | ||||
\(253\) | 10.6659 | − | 4.41795i | 0.670558 | − | 0.277754i | ||||
\(254\) | 6.18430 | + | 0.335810i | 0.388038 | + | 0.0210706i | ||||
\(255\) | −52.9416 | −3.31533 | ||||||||
\(256\) | 14.5168 | + | 6.72771i | 0.907301 | + | 0.420482i | ||||
\(257\) | 24.4356 | 1.52425 | 0.762125 | − | 0.647430i | \(-0.224156\pi\) | ||||
0.762125 | + | 0.647430i | \(0.224156\pi\) | |||||||
\(258\) | 12.4399 | + | 0.675487i | 0.774471 | + | 0.0420540i | ||||
\(259\) | 27.6270 | − | 11.4435i | 1.71666 | − | 0.711062i | ||||
\(260\) | 6.47300 | + | 0.705051i | 0.401439 | + | 0.0437254i | ||||
\(261\) | 19.6874 | − | 47.5296i | 1.21862 | − | 2.94201i | ||||
\(262\) | 19.9773 | − | 7.03193i | 1.23420 | − | 0.434434i | ||||
\(263\) | −14.0555 | − | 14.0555i | −0.866699 | − | 0.866699i | 0.125407 | − | 0.992105i | \(-0.459976\pi\) |
−0.992105 | + | 0.125407i | \(0.959976\pi\) | |||||||
\(264\) | 22.3565 | + | 3.67079i | 1.37595 | + | 0.225921i | ||||
\(265\) | 11.9726 | − | 11.9726i | 0.735473 | − | 0.735473i | ||||
\(266\) | −2.87088 | + | 5.98981i | −0.176025 | + | 0.367259i | ||||
\(267\) | −10.0223 | − | 4.15138i | −0.613356 | − | 0.254061i | ||||
\(268\) | 14.8915 | − | 4.34999i | 0.909641 | − | 0.265718i | ||||
\(269\) | −8.73781 | − | 21.0949i | −0.532754 | − | 1.28618i | −0.929693 | − | 0.368336i | \(-0.879927\pi\) |
0.396939 | − | 0.917845i | \(-0.370073\pi\) | |||||||
\(270\) | −44.1958 | − | 49.2711i | −2.68967 | − | 2.99855i | ||||
\(271\) | 13.8283i | 0.840008i | 0.907522 | + | 0.420004i | \(0.137971\pi\) | ||||
−0.907522 | + | 0.420004i | \(0.862029\pi\) | |||||||
\(272\) | −4.33246 | + | 19.6520i | −0.262694 | + | 1.19158i | ||||
\(273\) | − | 12.8647i | − | 0.778605i | ||||||
\(274\) | −9.53356 | + | 8.55153i | −0.575943 | + | 0.516617i | ||||
\(275\) | 5.31000 | + | 12.8195i | 0.320205 | + | 0.773044i | ||||
\(276\) | −14.4697 | + | 26.4116i | −0.870973 | + | 1.58979i | ||||
\(277\) | 7.98404 | + | 3.30710i | 0.479714 | + | 0.198704i | 0.609419 | − | 0.792849i | \(-0.291403\pi\) |
−0.129704 | + | 0.991553i | \(0.541403\pi\) | |||||||
\(278\) | −15.5191 | − | 7.43822i | −0.930775 | − | 0.446115i | ||||
\(279\) | −14.1168 | + | 14.1168i | −0.845150 | + | 0.845150i | ||||
\(280\) | 35.6851 | − | 8.35385i | 2.13259 | − | 0.499238i | ||||
\(281\) | 20.4757 | + | 20.4757i | 1.22148 | + | 1.22148i | 0.967107 | + | 0.254371i | \(0.0818685\pi\) |
0.254371 | + | 0.967107i | \(0.418132\pi\) | |||||||
\(282\) | 4.03723 | + | 11.4695i | 0.240414 | + | 0.683000i | ||||
\(283\) | 7.02096 | − | 16.9501i | 0.417353 | − | 1.00758i | −0.565759 | − | 0.824571i | \(-0.691417\pi\) |
0.983112 | − | 0.183007i | \(-0.0585832\pi\) | |||||||
\(284\) | −8.64048 | − | 10.7528i | −0.512718 | − | 0.638063i | ||||
\(285\) | 11.4728 | − | 4.75221i | 0.679592 | − | 0.281496i | ||||
\(286\) | 0.190023 | − | 3.49948i | 0.0112363 | − | 0.206929i | ||||
\(287\) | 31.9804 | 1.88774 | ||||||||
\(288\) | −36.6826 | + | 20.7197i | −2.16155 | + | 1.22092i | ||||
\(289\) | −8.31071 | −0.488865 | ||||||||
\(290\) | 1.72444 | − | 31.7575i | 0.101263 | − | 1.86487i | ||||
\(291\) | −16.2024 | + | 6.71126i | −0.949802 | + | 0.393421i | ||||
\(292\) | −10.6814 | + | 8.58308i | −0.625082 | + | 0.502287i | ||||
\(293\) | 7.62665 | − | 18.4124i | 0.445554 | − | 1.07566i | −0.528417 | − | 0.848985i | \(-0.677214\pi\) |
0.973970 | − | 0.226676i | \(-0.0727859\pi\) | |||||||
\(294\) | −13.4182 | − | 38.1204i | −0.782568 | − | 2.22323i | ||||
\(295\) | 25.8163 | + | 25.8163i | 1.50308 | + | 1.50308i | ||||
\(296\) | −11.2058 | + | 18.0560i | −0.651326 | + | 1.04948i | ||||
\(297\) | −25.1909 | + | 25.1909i | −1.46172 | + | 1.46172i | ||||
\(298\) | −3.71754 | − | 1.78179i | −0.215351 | − | 0.103217i | ||||
\(299\) | 4.30396 | + | 1.78276i | 0.248905 | + | 0.103100i | ||||
\(300\) | −31.7445 | − | 17.3913i | −1.83277 | − | 1.00409i | ||||
\(301\) | −4.15109 | − | 10.0216i | −0.239265 | − | 0.577636i | ||||
\(302\) | 6.25007 | − | 5.60627i | 0.359651 | − | 0.322604i | ||||
\(303\) | − | 14.5261i | − | 0.834505i | ||||||
\(304\) | −0.825150 | − | 4.64764i | −0.0473256 | − | 0.266560i | ||||
\(305\) | − | 25.6750i | − | 1.47015i | ||||||
\(306\) | −35.3819 | − | 39.4450i | −2.02265 | − | 2.25492i | ||||
\(307\) | −3.91358 | − | 9.44823i | −0.223360 | − | 0.539239i | 0.771982 | − | 0.635644i | \(-0.219265\pi\) |
−0.995342 | + | 0.0964054i | \(0.969265\pi\) | |||||||
\(308\) | −5.53119 | − | 18.9351i | −0.315169 | − | 1.07893i | ||||
\(309\) | −21.3247 | − | 8.83300i | −1.21312 | − | 0.502492i | ||||
\(310\) | −5.33441 | + | 11.1297i | −0.302974 | + | 0.632126i | ||||
\(311\) | 11.1550 | − | 11.1550i | 0.632544 | − | 0.632544i | −0.316161 | − | 0.948705i | \(-0.602394\pi\) |
0.948705 | + | 0.316161i | \(0.102394\pi\) | |||||||
\(312\) | 5.33172 | + | 7.42653i | 0.301849 | + | 0.420445i | ||||
\(313\) | −0.338915 | − | 0.338915i | −0.0191566 | − | 0.0191566i | 0.697464 | − | 0.716620i | \(-0.254312\pi\) |
−0.716620 | + | 0.697464i | \(0.754312\pi\) | |||||||
\(314\) | −20.5977 | + | 7.25030i | −1.16239 | + | 0.409158i | ||||
\(315\) | −36.9302 | + | 89.1574i | −2.08078 | + | 5.02345i | ||||
\(316\) | −0.266642 | + | 2.44801i | −0.0149998 | + | 0.137711i | ||||
\(317\) | −25.8141 | + | 10.6926i | −1.44987 | + | 0.600554i | −0.962168 | − | 0.272458i | \(-0.912164\pi\) |
−0.487699 | + | 0.873012i | \(0.662164\pi\) | |||||||
\(318\) | 23.7384 | + | 1.28900i | 1.33118 | + | 0.0722836i | ||||
\(319\) | −17.1184 | −0.958445 | ||||||||
\(320\) | −17.1381 | + | 19.6121i | −0.958050 | + | 1.09635i | ||||
\(321\) | 3.69374 | 0.206164 | ||||||||
\(322\) | 26.1830 | + | 1.42174i | 1.45912 | + | 0.0792307i | ||||
\(323\) | 5.48503 | − | 2.27197i | 0.305195 | − | 0.126416i | ||||
\(324\) | 5.22427 | − | 47.9635i | 0.290237 | − | 2.66464i | ||||
\(325\) | −2.14273 | + | 5.17300i | −0.118857 | + | 0.286946i | ||||
\(326\) | 9.06145 | − | 3.18960i | 0.501867 | − | 0.176655i | ||||
\(327\) | 28.2081 | + | 28.2081i | 1.55991 | + | 1.55991i | ||||
\(328\) | −18.4617 | + | 13.2542i | −1.01938 | + | 0.731839i | ||||
\(329\) | 7.48622 | − | 7.48622i | 0.412729 | − | 0.412729i | ||||
\(330\) | −15.9399 | + | 33.2571i | −0.877464 | + | 1.83074i | ||||
\(331\) | −5.33866 | − | 2.21135i | −0.293439 | − | 0.121547i | 0.231107 | − | 0.972928i | \(-0.425765\pi\) |
−0.524547 | + | 0.851382i | \(0.675765\pi\) | |||||||
\(332\) | −0.0660859 | − | 0.226234i | −0.00362694 | − | 0.0124162i | ||||
\(333\) | −21.4132 | − | 51.6960i | −1.17344 | − | 2.83292i | ||||
\(334\) | −22.1622 | − | 24.7072i | −1.21266 | − | 1.35192i | ||||
\(335\) | 25.2537i | 1.37976i | ||||||||
\(336\) | 42.1872 | + | 29.4658i | 2.30150 | + | 1.60749i | ||||
\(337\) | 15.0228i | 0.818345i | 0.912457 | + | 0.409172i | \(0.134183\pi\) | ||||
−0.912457 | + | 0.409172i | \(0.865817\pi\) | |||||||
\(338\) | 1.05275 | − | 0.944309i | 0.0572620 | − | 0.0513636i | ||||
\(339\) | 18.8326 | + | 45.4659i | 1.02285 | + | 2.46937i | ||||
\(340\) | −28.7292 | − | 15.7394i | −1.55806 | − | 0.853587i | ||||
\(341\) | 6.13733 | + | 2.54217i | 0.332355 | + | 0.137666i | ||||
\(342\) | 11.2082 | + | 5.37204i | 0.606072 | + | 0.290487i | ||||
\(343\) | −5.18106 | + | 5.18106i | −0.279751 | + | 0.279751i | ||||
\(344\) | 6.54977 | + | 4.06489i | 0.353140 | + | 0.219164i | ||||
\(345\) | −34.6643 | − | 34.6643i | −1.86626 | − | 1.86626i | ||||
\(346\) | −3.68024 | − | 10.4554i | −0.197851 | − | 0.562083i | ||||
\(347\) | 5.43101 | − | 13.1116i | 0.291552 | − | 0.703869i | −0.708446 | − | 0.705765i | \(-0.750603\pi\) |
0.999998 | + | 0.00189580i | \(0.000603454\pi\) | |||||||
\(348\) | 34.8094 | − | 27.9712i | 1.86598 | − | 1.49942i | ||||
\(349\) | 21.4996 | − | 8.90544i | 1.15085 | − | 0.476697i | 0.276031 | − | 0.961149i | \(-0.410981\pi\) |
0.874818 | + | 0.484452i | \(0.160981\pi\) | |||||||
\(350\) | −1.70882 | + | 31.4698i | −0.0913401 | + | 1.68213i | ||||
\(351\) | −14.3758 | −0.767321 | ||||||||
\(352\) | 11.0406 | + | 8.63851i | 0.588469 | + | 0.460434i | ||||
\(353\) | 34.0510 | 1.81235 | 0.906176 | − | 0.422900i | \(-0.138988\pi\) | ||||
0.906176 | + | 0.422900i | \(0.138988\pi\) | |||||||
\(354\) | −2.77944 | + | 51.1865i | −0.147726 | + | 2.72053i | ||||
\(355\) | 20.7453 | − | 8.59299i | 1.10105 | − | 0.456069i | ||||
\(356\) | −4.20451 | − | 5.23239i | −0.222839 | − | 0.277316i | ||||
\(357\) | −24.7680 | + | 59.7951i | −1.31086 | + | 3.16469i | ||||
\(358\) | 8.09529 | + | 22.9982i | 0.427849 | + | 1.21549i | ||||
\(359\) | 10.3817 | + | 10.3817i | 0.547927 | + | 0.547927i | 0.925841 | − | 0.377914i | \(-0.123359\pi\) |
−0.377914 | + | 0.925841i | \(0.623359\pi\) | |||||||
\(360\) | −15.6319 | − | 66.7745i | −0.823871 | − | 3.51933i | ||||
\(361\) | 12.4503 | − | 12.4503i | 0.655280 | − | 0.655280i | ||||
\(362\) | 3.65073 | + | 1.74977i | 0.191878 | + | 0.0919661i | ||||
\(363\) | −14.5094 | − | 6.00997i | −0.761544 | − | 0.315442i | ||||
\(364\) | 3.82463 | − | 6.98112i | 0.200465 | − | 0.365910i | ||||
\(365\) | −8.53591 | − | 20.6075i | −0.446790 | − | 1.07865i | ||||
\(366\) | 26.8353 | − | 24.0711i | 1.40270 | − | 1.25822i | ||||
\(367\) | 34.1426i | 1.78223i | 0.453780 | + | 0.891114i | \(0.350075\pi\) | ||||
−0.453780 | + | 0.891114i | \(0.649925\pi\) | |||||||
\(368\) | −15.7042 | + | 10.0307i | −0.818638 | + | 0.522887i | ||||
\(369\) | − | 59.8422i | − | 3.11526i | ||||||
\(370\) | −23.0982 | − | 25.7507i | −1.20082 | − | 1.33871i | ||||
\(371\) | −7.92133 | − | 19.1238i | −0.411255 | − | 0.992857i | ||||
\(372\) | −16.6339 | + | 4.85896i | −0.862426 | + | 0.251925i | ||||
\(373\) | 3.74850 | + | 1.55268i | 0.194090 | + | 0.0803946i | 0.477611 | − | 0.878571i | \(-0.341503\pi\) |
−0.283522 | + | 0.958966i | \(0.591503\pi\) | |||||||
\(374\) | −7.62068 | + | 15.8998i | −0.394056 | + | 0.822159i | ||||
\(375\) | 4.45872 | − | 4.45872i | 0.230248 | − | 0.230248i | ||||
\(376\) | −1.21902 | + | 7.42430i | −0.0628661 | + | 0.382879i | ||||
\(377\) | −4.88449 | − | 4.88449i | −0.251564 | − | 0.251564i | ||||
\(378\) | −76.3260 | + | 26.8664i | −3.92578 | + | 1.38186i | ||||
\(379\) | 6.21125 | − | 14.9953i | 0.319050 | − | 0.770256i | −0.680254 | − | 0.732976i | \(-0.738131\pi\) |
0.999305 | − | 0.0372799i | \(-0.0118693\pi\) | |||||||
\(380\) | 7.63865 | + | 0.832016i | 0.391855 | + | 0.0426815i | ||||
\(381\) | −13.0779 | + | 5.41705i | −0.670001 | + | 0.277524i | ||||
\(382\) | 23.1473 | + | 1.25691i | 1.18432 | + | 0.0643089i | ||||
\(383\) | 28.7391 | 1.46850 | 0.734249 | − | 0.678880i | \(-0.237534\pi\) | ||||
0.734249 | + | 0.678880i | \(0.237534\pi\) | |||||||
\(384\) | −36.5659 | + | 0.474285i | −1.86600 | + | 0.0242032i | ||||
\(385\) | 32.1111 | 1.63654 | ||||||||
\(386\) | 10.2837 | + | 0.558408i | 0.523427 | + | 0.0284222i | ||||
\(387\) | −18.7526 | + | 7.76759i | −0.953249 | + | 0.394849i | ||||
\(388\) | −10.7876 | − | 1.17501i | −0.547658 | − | 0.0596519i | ||||
\(389\) | −6.72659 | + | 16.2394i | −0.341052 | + | 0.823372i | 0.656558 | + | 0.754275i | \(0.272012\pi\) |
−0.997610 | + | 0.0690965i | \(0.977988\pi\) | |||||||
\(390\) | −14.0377 | + | 4.94121i | −0.710826 | + | 0.250208i | ||||
\(391\) | −16.5726 | − | 16.5726i | −0.838112 | − | 0.838112i | ||||
\(392\) | 4.05156 | − | 24.6756i | 0.204635 | − | 1.24631i | ||||
\(393\) | −34.2278 | + | 34.2278i | −1.72656 | + | 1.72656i | ||||
\(394\) | 11.3079 | − | 23.5929i | 0.569685 | − | 1.18859i | ||||
\(395\) | −3.70337 | − | 1.53398i | −0.186337 | − | 0.0771832i | ||||
\(396\) | −35.4317 | + | 10.3500i | −1.78051 | + | 0.520109i | ||||
\(397\) | 7.41312 | + | 17.8969i | 0.372054 | + | 0.898218i | 0.993402 | + | 0.114683i | \(0.0365853\pi\) |
−0.621348 | + | 0.783535i | \(0.713415\pi\) | |||||||
\(398\) | 15.3899 | + | 17.1572i | 0.771425 | + | 0.860012i | ||||
\(399\) | − | 15.1813i | − | 0.760017i | ||||||
\(400\) | −12.0561 | − | 18.8751i | −0.602803 | − | 0.943756i | ||||
\(401\) | − | 14.3453i | − | 0.716370i | −0.933651 | − | 0.358185i | \(-0.883396\pi\) | ||
0.933651 | − | 0.358185i | \(-0.116604\pi\) | |||||||
\(402\) | −26.3950 | + | 23.6761i | −1.31646 | + | 1.18086i | ||||
\(403\) | 1.02583 | + | 2.47658i | 0.0511003 | + | 0.123367i | ||||
\(404\) | 4.31858 | − | 7.88274i | 0.214857 | − | 0.392181i | ||||
\(405\) | 72.5595 | + | 30.0551i | 3.60551 | + | 1.49345i | ||||
\(406\) | −35.0620 | − | 16.8050i | −1.74010 | − | 0.834018i | ||||
\(407\) | −13.1656 | + | 13.1656i | −0.652594 | + | 0.652594i | ||||
\(408\) | −10.4838 | − | 44.7836i | −0.519026 | − | 2.21712i | ||||
\(409\) | 2.93002 | + | 2.93002i | 0.144880 | + | 0.144880i | 0.775826 | − | 0.630946i | \(-0.217333\pi\) |
−0.630946 | + | 0.775826i | \(0.717333\pi\) | |||||||
\(410\) | −12.2834 | − | 34.8964i | −0.606634 | − | 1.72341i | ||||
\(411\) | 11.2015 | − | 27.0429i | 0.552531 | − | 1.33393i | ||||
\(412\) | −8.94604 | − | 11.1331i | −0.440740 | − | 0.548488i | ||||
\(413\) | 41.2361 | − | 17.0806i | 2.02910 | − | 0.840480i | ||||
\(414\) | 2.66039 | − | 48.9941i | 0.130751 | − | 2.40793i | ||||
\(415\) | 0.383660 | 0.0188331 | ||||||||
\(416\) | 0.685416 | + | 5.61518i | 0.0336053 | + | 0.275307i | ||||
\(417\) | 39.3336 | 1.92617 | ||||||||
\(418\) | 0.224242 | − | 4.12967i | 0.0109680 | − | 0.201989i | ||||
\(419\) | 22.5931 | − | 9.35836i | 1.10374 | − | 0.457186i | 0.244965 | − | 0.969532i | \(-0.421223\pi\) |
0.858779 | + | 0.512346i | \(0.171223\pi\) | |||||||
\(420\) | −65.2965 | + | 52.4693i | −3.18614 | + | 2.56024i | ||||
\(421\) | −5.67597 | + | 13.7030i | −0.276630 | + | 0.667844i | −0.999738 | − | 0.0228913i | \(-0.992713\pi\) |
0.723108 | + | 0.690735i | \(0.242713\pi\) | |||||||
\(422\) | 3.87974 | + | 11.0221i | 0.188863 | + | 0.536548i | ||||
\(423\) | −14.0083 | − | 14.0083i | −0.681109 | − | 0.681109i | ||||
\(424\) | 12.4986 | + | 7.75684i | 0.606987 | + | 0.376705i | ||||
\(425\) | 19.9188 | − | 19.9188i | 0.966206 | − | 0.966206i | ||||
\(426\) | 28.4307 | + | 13.6266i | 1.37747 | + | 0.660213i | ||||
\(427\) | −28.9988 | − | 12.0117i | −1.40335 | − | 0.581286i | ||||
\(428\) | 2.00444 | + | 1.09814i | 0.0968882 | + | 0.0530805i | ||||
\(429\) | 3.06532 | + | 7.40033i | 0.147995 | + | 0.357291i | ||||
\(430\) | −9.34100 | + | 8.37881i | −0.450463 | + | 0.404062i | ||||
\(431\) | − | 12.3254i | − | 0.593695i | −0.954925 | − | 0.296848i | \(-0.904065\pi\) | ||
0.954925 | − | 0.296848i | \(-0.0959354\pi\) | |||||||
\(432\) | 32.9269 | − | 47.1425i | 1.58419 | − | 2.26815i | ||||
\(433\) | 27.8891i | 1.34026i | 0.742243 | + | 0.670131i | \(0.233762\pi\) | ||||
−0.742243 | + | 0.670131i | \(0.766238\pi\) | |||||||
\(434\) | 10.0749 | + | 11.2319i | 0.483611 | + | 0.539147i | ||||
\(435\) | 27.8175 | + | 67.1574i | 1.33375 | + | 3.21995i | ||||
\(436\) | 6.92119 | + | 23.6936i | 0.331465 | + | 1.13472i | ||||
\(437\) | 5.07902 | + | 2.10380i | 0.242962 | + | 0.100638i | ||||
\(438\) | 13.5361 | − | 28.2418i | 0.646781 | − | 1.34945i | ||||
\(439\) | −16.3895 | + | 16.3895i | −0.782230 | + | 0.782230i | −0.980207 | − | 0.197977i | \(-0.936563\pi\) |
0.197977 | + | 0.980207i | \(0.436563\pi\) | |||||||
\(440\) | −18.5372 | + | 13.3084i | −0.883725 | + | 0.634451i | ||||
\(441\) | 46.5585 | + | 46.5585i | 2.21707 | + | 2.21707i | ||||
\(442\) | −6.71124 | + | 2.36233i | −0.319221 | + | 0.112365i | ||||
\(443\) | −15.2525 | + | 36.8227i | −0.724667 | + | 1.74950i | −0.0650697 | + | 0.997881i | \(0.520727\pi\) |
−0.659597 | + | 0.751619i | \(0.729273\pi\) | |||||||
\(444\) | 5.25918 | − | 48.2840i | 0.249590 | − | 2.29146i | ||||
\(445\) | 10.0948 | − | 4.18140i | 0.478539 | − | 0.198217i | ||||
\(446\) | 9.95830 | + | 0.540739i | 0.471539 | + | 0.0256047i | ||||
\(447\) | 9.42218 | 0.445654 | ||||||||
\(448\) | 14.1332 | + | 28.5320i | 0.667729 | + | 1.34801i | ||||
\(449\) | −31.4242 | −1.48300 | −0.741501 | − | 0.670952i | \(-0.765886\pi\) | ||||
−0.741501 | + | 0.670952i | \(0.765886\pi\) | |||||||
\(450\) | 58.8867 | + | 3.19757i | 2.77595 | + | 0.150735i | ||||
\(451\) | −18.3966 | + | 7.62011i | −0.866260 | + | 0.358817i | ||||
\(452\) | −3.29721 | + | 30.2713i | −0.155088 | + | 1.42384i | ||||
\(453\) | −7.34357 | + | 17.7289i | −0.345031 | + | 0.832978i | ||||
\(454\) | −4.60679 | + | 1.62157i | −0.216207 | + | 0.0761042i | ||||
\(455\) | 9.16247 | + | 9.16247i | 0.429543 | + | 0.429543i | ||||
\(456\) | 6.29185 | + | 8.76390i | 0.294643 | + | 0.410407i | ||||
\(457\) | −4.52894 | + | 4.52894i | −0.211855 | + | 0.211855i | −0.805055 | − | 0.593200i | \(-0.797864\pi\) |
0.593200 | + | 0.805055i | \(0.297864\pi\) | |||||||
\(458\) | 10.5319 | − | 21.9738i | 0.492125 | − | 1.02677i | ||||
\(459\) | 66.8187 | + | 27.6772i | 3.11883 | + | 1.29186i | ||||
\(460\) | −8.50530 | − | 29.1165i | −0.396561 | − | 1.35756i | ||||
\(461\) | −6.62676 | − | 15.9984i | −0.308639 | − | 0.745120i | −0.999750 | − | 0.0223714i | \(-0.992878\pi\) |
0.691111 | − | 0.722749i | \(-0.257122\pi\) | |||||||
\(462\) | 30.1051 | + | 33.5623i | 1.40062 | + | 1.56146i | ||||
\(463\) | − | 6.20003i | − | 0.288140i | −0.989568 | − | 0.144070i | \(-0.953981\pi\) | ||
0.989568 | − | 0.144070i | \(-0.0460190\pi\) | |||||||
\(464\) | 27.2054 | − | 4.83010i | 1.26298 | − | 0.224232i | ||||
\(465\) | − | 28.2086i | − | 1.30814i | ||||||
\(466\) | 18.0219 | − | 16.1655i | 0.834850 | − | 0.748854i | ||||
\(467\) | 3.69171 | + | 8.91258i | 0.170832 | + | 0.412425i | 0.985988 | − | 0.166817i | \(-0.0533488\pi\) |
−0.815156 | + | 0.579242i | \(0.803349\pi\) | |||||||
\(468\) | −13.0632 | − | 7.15670i | −0.603846 | − | 0.330819i | ||||
\(469\) | 28.5230 | + | 11.8146i | 1.31707 | + | 0.545547i | ||||
\(470\) | −11.0442 | − | 5.29343i | −0.509432 | − | 0.244168i | ||||
\(471\) | 35.2907 | − | 35.2907i | 1.62611 | − | 1.62611i | ||||
\(472\) | −16.7259 | + | 26.9505i | −0.769871 | + | 1.24050i | ||||
\(473\) | 4.77579 | + | 4.77579i | 0.219591 | + | 0.219591i | ||||
\(474\) | −1.86871 | − | 5.30888i | −0.0858325 | − | 0.243845i | ||||
\(475\) | −2.52859 | + | 6.10455i | −0.116019 | + | 0.280096i | ||||
\(476\) | −31.2175 | + | 25.0849i | −1.43085 | + | 1.14977i | ||||
\(477\) | −35.7847 | + | 14.8225i | −1.63847 | + | 0.678677i | ||||
\(478\) | −0.367093 | + | 6.76042i | −0.0167904 | + | 0.309214i | ||||
\(479\) | 7.58274 | 0.346464 | 0.173232 | − | 0.984881i | \(-0.444579\pi\) | ||||
0.173232 | + | 0.984881i | \(0.444579\pi\) | |||||||
\(480\) | 15.9488 | − | 57.3515i | 0.727958 | − | 2.61772i | ||||
\(481\) | −7.51324 | −0.342574 | ||||||||
\(482\) | 1.51025 | − | 27.8129i | 0.0687900 | − | 1.26684i | ||||
\(483\) | −55.3690 | + | 22.9346i | −2.51938 | + | 1.04356i | ||||
\(484\) | −6.08688 | − | 7.57495i | −0.276676 | − | 0.344316i | ||||
\(485\) | 6.75979 | − | 16.3196i | 0.306946 | − | 0.741034i | ||||
\(486\) | 16.3626 | + | 46.4851i | 0.742221 | + | 2.10861i | ||||
\(487\) | −21.0479 | − | 21.0479i | −0.953772 | − | 0.953772i | 0.0452060 | − | 0.998978i | \(-0.485606\pi\) |
−0.998978 | + | 0.0452060i | \(0.985606\pi\) | |||||||
\(488\) | 21.7187 | − | 5.08432i | 0.983158 | − | 0.230156i | ||||
\(489\) | −15.5253 | + | 15.5253i | −0.702077 | + | 0.702077i | ||||
\(490\) | 36.7069 | + | 17.5934i | 1.65825 | + | 0.794788i | ||||
\(491\) | −27.2676 | − | 11.2946i | −1.23057 | − | 0.509719i | −0.329814 | − | 0.944046i | \(-0.606986\pi\) |
−0.900755 | + | 0.434327i | \(0.856986\pi\) | |||||||
\(492\) | 24.9574 | − | 45.5549i | 1.12517 | − | 2.05377i | ||||
\(493\) | 13.2992 | + | 32.1071i | 0.598967 | + | 1.44603i | ||||
\(494\) | 1.24233 | − | 1.11436i | 0.0558950 | − | 0.0501374i | ||||
\(495\) | − | 60.0869i | − | 2.70070i | ||||||
\(496\) | −10.4711 | − | 2.30844i | −0.470165 | − | 0.103652i | ||||
\(497\) | − | 27.4510i | − | 1.23135i | ||||||
\(498\) | 0.359692 | + | 0.400998i | 0.0161182 | + | 0.0179691i | ||||
\(499\) | 1.62725 | + | 3.92854i | 0.0728459 | + | 0.175866i | 0.956108 | − | 0.293013i | \(-0.0946581\pi\) |
−0.883262 | + | 0.468879i | \(0.844658\pi\) | |||||||
\(500\) | 3.74513 | − | 1.09400i | 0.167487 | − | 0.0489252i | ||||
\(501\) | 70.0845 | + | 29.0300i | 3.13114 | + | 1.29696i | ||||
\(502\) | −5.42513 | + | 11.3190i | −0.242135 | + | 0.505192i | ||||
\(503\) | 5.43931 | − | 5.43931i | 0.242527 | − | 0.242527i | −0.575368 | − | 0.817895i | \(-0.695141\pi\) |
0.817895 | + | 0.575368i | \(0.195141\pi\) | |||||||
\(504\) | −82.7320 | − | 13.5840i | −3.68518 | − | 0.605081i | ||||
\(505\) | 10.3458 | + | 10.3458i | 0.460382 | + | 0.460382i | ||||
\(506\) | −15.4004 | + | 5.42089i | −0.684632 | + | 0.240988i | ||||
\(507\) | −1.23694 | + | 2.98623i | −0.0549343 | + | 0.132623i | ||||
\(508\) | −8.70731 | − | 0.948416i | −0.386325 | − | 0.0420791i | ||||
\(509\) | −13.0802 | + | 5.41799i | −0.579769 | + | 0.240148i | −0.653242 | − | 0.757149i | \(-0.726592\pi\) |
0.0734731 | + | 0.997297i | \(0.476592\pi\) | |||||||
\(510\) | 74.7605 | + | 4.05952i | 3.31045 | + | 0.179758i | ||||
\(511\) | −27.2687 | −1.20630 | ||||||||
\(512\) | −19.9838 | − | 10.6136i | −0.883168 | − | 0.469057i | ||||
\(513\) | −16.9645 | −0.749002 | ||||||||
\(514\) | −34.5063 | − | 1.87370i | −1.52201 | − | 0.0826455i | ||||
\(515\) | 21.4789 | − | 8.89687i | 0.946476 | − | 0.392043i | ||||
\(516\) | −17.5149 | − | 1.90776i | −0.771052 | − | 0.0839843i | ||||
\(517\) | −2.52264 | + | 6.09018i | −0.110945 | + | 0.267846i | ||||
\(518\) | −39.8904 | + | 14.0413i | −1.75268 | + | 0.616938i | ||||
\(519\) | 17.9135 | + | 17.9135i | 0.786315 | + | 0.786315i | ||||
\(520\) | −9.08668 | − | 1.49197i | −0.398477 | − | 0.0654272i | ||||
\(521\) | −4.78754 | + | 4.78754i | −0.209746 | + | 0.209746i | −0.804160 | − | 0.594413i | \(-0.797384\pi\) |
0.594413 | + | 0.804160i | \(0.297384\pi\) | |||||||
\(522\) | −31.4458 | + | 65.6085i | −1.37634 | + | 2.87161i | ||||
\(523\) | 15.8038 | + | 6.54613i | 0.691050 | + | 0.286242i | 0.700438 | − | 0.713714i | \(-0.252988\pi\) |
−0.00938762 | + | 0.999956i | \(0.502988\pi\) | |||||||
\(524\) | −28.7498 | + | 8.39818i | −1.25594 | + | 0.366876i | ||||
\(525\) | −27.5654 | − | 66.5489i | −1.20305 | − | 2.90443i | ||||
\(526\) | 18.7705 | + | 20.9260i | 0.818431 | + | 0.912416i | ||||
\(527\) | − | 13.4862i | − | 0.587467i | ||||||
\(528\) | −31.2889 | − | 6.89792i | −1.36168 | − | 0.300194i | ||||
\(529\) | 1.29767i | 0.0564204i | ||||||||
\(530\) | −17.8250 | + | 15.9889i | −0.774268 | + | 0.694513i | ||||
\(531\) | −31.9614 | − | 77.1617i | −1.38701 | − | 3.34853i | ||||
\(532\) | 4.51336 | − | 8.23828i | 0.195679 | − | 0.357175i | ||||
\(533\) | −7.42350 | − | 3.07491i | −0.321547 | − | 0.133189i | ||||
\(534\) | 13.8345 | + | 6.63081i | 0.598679 | + | 0.286943i | ||||
\(535\) | −2.63075 | + | 2.63075i | −0.113737 | + | 0.113737i | ||||
\(536\) | −21.3623 | + | 5.00089i | −0.922711 | + | 0.216006i | ||||
\(537\) | −39.4036 | − | 39.4036i | −1.70039 | − | 1.70039i | ||||
\(538\) | 10.7214 | + | 30.4589i | 0.462233 | + | 1.31318i | ||||
\(539\) | 8.38430 | − | 20.2415i | 0.361138 | − | 0.871863i | ||||
\(540\) | 58.6323 | + | 72.9663i | 2.52313 | + | 3.13997i | ||||
\(541\) | −30.0551 | + | 12.4492i | −1.29217 | + | 0.535234i | −0.919632 | − | 0.392782i | \(-0.871513\pi\) |
−0.372539 | + | 0.928017i | \(0.621513\pi\) | |||||||
\(542\) | 1.06034 | − | 19.5274i | 0.0455456 | − | 0.838773i | ||||
\(543\) | −9.25287 | −0.397079 | ||||||||
\(544\) | 7.62491 | − | 27.4190i | 0.326915 | − | 1.17558i | ||||
\(545\) | −40.1807 | −1.72115 | ||||||||
\(546\) | −0.986453 | + | 18.1666i | −0.0422163 | + | 0.777459i | ||||
\(547\) | 25.3753 | − | 10.5108i | 1.08497 | − | 0.449409i | 0.232720 | − | 0.972544i | \(-0.425238\pi\) |
0.852250 | + | 0.523135i | \(0.175238\pi\) | |||||||
\(548\) | 14.1184 | − | 11.3449i | 0.603107 | − | 0.484629i | ||||
\(549\) | −22.4765 | + | 54.2630i | −0.959273 | + | 2.31589i | ||||
\(550\) | −6.51544 | − | 18.5100i | −0.277819 | − | 0.789268i | ||||
\(551\) | −5.76408 | − | 5.76408i | −0.245558 | − | 0.245558i | ||||
\(552\) | 22.4584 | − | 36.1872i | 0.955891 | − | 1.54023i | ||||
\(553\) | −3.46514 | + | 3.46514i | −0.147353 | + | 0.147353i | ||||
\(554\) | −11.0209 | − | 5.28227i | −0.468235 | − | 0.224422i | ||||
\(555\) | 73.0444 | + | 30.2560i | 3.10056 | + | 1.28429i | ||||
\(556\) | 21.3447 | + | 11.6938i | 0.905217 | + | 0.495925i | ||||
\(557\) | −1.93473 | − | 4.67085i | −0.0819771 | − | 0.197910i | 0.877576 | − | 0.479437i | \(-0.159159\pi\) |
−0.959553 | + | 0.281527i | \(0.909159\pi\) | |||||||
\(558\) | 21.0173 | − | 18.8523i | 0.889731 | − | 0.798083i | ||||
\(559\) | 2.72541i | 0.115273i | ||||||||
\(560\) | −51.0327 | + | 9.06044i | −2.15652 | + | 0.382874i | ||||
\(561\) | − | 40.2984i | − | 1.70140i | ||||||
\(562\) | −27.3444 | − | 30.4845i | −1.15345 | − | 1.28591i | ||||
\(563\) | −4.40787 | − | 10.6416i | −0.185770 | − | 0.448488i | 0.803367 | − | 0.595484i | \(-0.203040\pi\) |
−0.989137 | + | 0.146996i | \(0.953040\pi\) | |||||||
\(564\) | −4.82163 | − | 16.5061i | −0.203027 | − | 0.695031i | ||||
\(565\) | −45.7947 | − | 18.9688i | −1.92660 | − | 0.798022i | ||||
\(566\) | −11.2142 | + | 23.3974i | −0.471370 | + | 0.983467i | ||||
\(567\) | 67.8919 | − | 67.8919i | 2.85119 | − | 2.85119i | ||||
\(568\) | 11.3770 | + | 15.8470i | 0.477368 | + | 0.664924i | ||||
\(569\) | −2.52239 | − | 2.52239i | −0.105744 | − | 0.105744i | 0.652255 | − | 0.757999i | \(-0.273823\pi\) |
−0.757999 | + | 0.652255i | \(0.773823\pi\) | |||||||
\(570\) | −16.5656 | + | 5.83102i | −0.693856 | + | 0.244235i | ||||
\(571\) | −8.71735 | + | 21.0455i | −0.364810 | + | 0.880729i | 0.629773 | + | 0.776779i | \(0.283148\pi\) |
−0.994583 | + | 0.103949i | \(0.966852\pi\) | |||||||
\(572\) | −0.536675 | + | 4.92717i | −0.0224395 | + | 0.206015i | ||||
\(573\) | −48.9495 | + | 20.2755i | −2.04489 | + | 0.847023i | ||||
\(574\) | −45.1606 | − | 2.45223i | −1.88497 | − | 0.102354i | ||||
\(575\) | 26.0844 | 1.08779 | ||||||||
\(576\) | 53.3895 | − | 26.4462i | 2.22456 | − | 1.10193i | ||||
\(577\) | 22.8350 | 0.950633 | 0.475316 | − | 0.879815i | \(-0.342334\pi\) | ||||
0.475316 | + | 0.879815i | \(0.342334\pi\) | |||||||
\(578\) | 11.7358 | + | 0.637259i | 0.488146 | + | 0.0265065i | ||||
\(579\) | −21.7469 | + | 9.00785i | −0.903770 | + | 0.374354i | ||||
\(580\) | −4.87029 | + | 44.7136i | −0.202228 | + | 1.85663i | ||||
\(581\) | 0.179490 | − | 0.433327i | 0.00744649 | − | 0.0179774i | ||||
\(582\) | 23.3946 | − | 8.23480i | 0.969737 | − | 0.341344i | ||||
\(583\) | 9.11341 | + | 9.11341i | 0.377439 | + | 0.377439i | ||||
\(584\) | 15.7417 | − | 11.3014i | 0.651396 | − | 0.467656i | ||||
\(585\) | 17.1450 | − | 17.1450i | 0.708857 | − | 0.708857i | ||||
\(586\) | −12.1817 | + | 25.4159i | −0.503221 | + | 1.04992i | ||||
\(587\) | −39.1161 | − | 16.2024i | −1.61449 | − | 0.668746i | −0.621125 | − | 0.783711i | \(-0.713324\pi\) |
−0.993369 | + | 0.114966i | \(0.963324\pi\) | |||||||
\(588\) | 16.0253 | + | 54.8600i | 0.660872 | + | 2.26239i | ||||
\(589\) | 1.21056 | + | 2.92256i | 0.0498803 | + | 0.120422i | ||||
\(590\) | −34.4765 | − | 38.4356i | −1.41937 | − | 1.58237i | ||||
\(591\) | 59.7967i | 2.45971i | ||||||||
\(592\) | 17.2086 | − | 24.6382i | 0.707271 | − | 1.01262i | ||||
\(593\) | 36.7908i | 1.51082i | 0.655254 | + | 0.755408i | \(0.272562\pi\) | ||||
−0.655254 | + | 0.755408i | \(0.727438\pi\) | |||||||
\(594\) | 37.5045 | − | 33.6413i | 1.53883 | − | 1.38032i | ||||
\(595\) | −24.9471 | − | 60.2275i | −1.02273 | − | 2.46909i | ||||
\(596\) | 5.11303 | + | 2.80119i | 0.209438 | + | 0.114741i | ||||
\(597\) | −48.6681 | − | 20.1590i | −1.99185 | − | 0.825052i | ||||
\(598\) | −5.94107 | − | 2.84752i | −0.242948 | − | 0.116444i | ||||
\(599\) | 20.7087 | − | 20.7087i | 0.846135 | − | 0.846135i | −0.143513 | − | 0.989648i | \(-0.545840\pi\) |
0.989648 | + | 0.143513i | \(0.0458400\pi\) | |||||||
\(600\) | 43.4940 | + | 26.9930i | 1.77563 | + | 1.10199i | ||||
\(601\) | −28.0329 | − | 28.0329i | −1.14349 | − | 1.14349i | −0.987808 | − | 0.155680i | \(-0.950243\pi\) |
−0.155680 | − | 0.987808i | \(-0.549757\pi\) | |||||||
\(602\) | 5.09344 | + | 14.4702i | 0.207593 | + | 0.589760i | ||||
\(603\) | 22.1077 | − | 53.3726i | 0.900294 | − | 2.17350i | ||||
\(604\) | −9.25582 | + | 7.43755i | −0.376614 | + | 0.302629i | ||||
\(605\) | 14.6143 | − | 6.05343i | 0.594155 | − | 0.246107i | ||||
\(606\) | −1.11385 | + | 20.5128i | −0.0452472 | + | 0.833277i | ||||
\(607\) | −2.89763 | −0.117611 | −0.0588056 | − | 0.998269i | \(-0.518729\pi\) | ||||
−0.0588056 | + | 0.998269i | \(0.518729\pi\) | |||||||
\(608\) | 0.808845 | + | 6.62635i | 0.0328030 | + | 0.268734i | ||||
\(609\) | 88.8654 | 3.60101 | ||||||||
\(610\) | −1.96874 | + | 36.2565i | −0.0797120 | + | 1.46798i | ||||
\(611\) | −2.45755 | + | 1.01795i | −0.0994218 | + | 0.0411819i | ||||
\(612\) | 46.9393 | + | 58.4146i | 1.89741 | + | 2.36127i | ||||
\(613\) | −2.68520 | + | 6.48264i | −0.108454 | + | 0.261832i | −0.968784 | − | 0.247906i | \(-0.920258\pi\) |
0.860330 | + | 0.509738i | \(0.170258\pi\) | |||||||
\(614\) | 4.80202 | + | 13.6422i | 0.193794 | + | 0.550556i | ||||
\(615\) | 59.7892 | + | 59.7892i | 2.41093 | + | 2.41093i | ||||
\(616\) | 6.35884 | + | 27.1630i | 0.256205 | + | 1.09443i | ||||
\(617\) | −14.2576 | + | 14.2576i | −0.573990 | + | 0.573990i | −0.933241 | − | 0.359251i | \(-0.883032\pi\) |
0.359251 | + | 0.933241i | \(0.383032\pi\) | |||||||
\(618\) | 29.4361 | + | 14.1085i | 1.18409 | + | 0.567529i | ||||
\(619\) | −37.4055 | − | 15.4939i | −1.50345 | − | 0.622751i | −0.529259 | − | 0.848460i | \(-0.677530\pi\) |
−0.974195 | + | 0.225709i | \(0.927530\pi\) | |||||||
\(620\) | 8.38632 | − | 15.3076i | 0.336803 | − | 0.614769i | ||||
\(621\) | 25.6285 | + | 61.8727i | 1.02844 | + | 2.48287i | ||||
\(622\) | −16.6078 | + | 14.8970i | −0.665911 | + | 0.597317i | ||||
\(623\) | − | 13.3578i | − | 0.535170i | ||||||
\(624\) | −6.95963 | − | 10.8961i | −0.278608 | − | 0.436193i | ||||
\(625\) | − | 21.6449i | − | 0.865795i | ||||||
\(626\) | 0.452606 | + | 0.504581i | 0.0180898 | + | 0.0201671i | ||||
\(627\) | 3.61732 | + | 8.73298i | 0.144462 | + | 0.348762i | ||||
\(628\) | 29.6426 | − | 8.65898i | 1.18287 | − | 0.345531i | ||||
\(629\) | 34.9216 | + | 14.4650i | 1.39242 | + | 0.576758i | ||||
\(630\) | 58.9869 | − | 123.070i | 2.35009 | − | 4.90324i | ||||
\(631\) | 2.35802 | − | 2.35802i | 0.0938714 | − | 0.0938714i | −0.658612 | − | 0.752483i | \(-0.728856\pi\) |
0.752483 | + | 0.658612i | \(0.228856\pi\) | |||||||
\(632\) | 0.564245 | − | 3.43647i | 0.0224445 | − | 0.136696i | ||||
\(633\) | −18.8845 | − | 18.8845i | −0.750593 | − | 0.750593i | ||||
\(634\) | 37.2729 | − | 13.1199i | 1.48030 | − | 0.521059i | ||||
\(635\) | 5.45622 | − | 13.1725i | 0.216523 | − | 0.522734i | ||||
\(636\) | −33.4229 | − | 3.64048i | −1.32530 | − | 0.144354i | ||||
\(637\) | 8.16798 | − | 3.38329i | 0.323627 | − | 0.134051i | ||||
\(638\) | 24.1734 | + | 1.31262i | 0.957035 | + | 0.0519673i | ||||
\(639\) | −51.3668 | −2.03204 | ||||||||
\(640\) | 25.7052 | − | 26.3808i | 1.01609 | − | 1.04279i | ||||
\(641\) | 33.0315 | 1.30467 | 0.652333 | − | 0.757932i | \(-0.273790\pi\) | ||||
0.652333 | + | 0.757932i | \(0.273790\pi\) | |||||||
\(642\) | −5.21605 | − | 0.283233i | −0.205861 | − | 0.0111783i | ||||
\(643\) | −32.9748 | + | 13.6586i | −1.30040 | + | 0.538643i | −0.922068 | − | 0.387028i | \(-0.873502\pi\) |
−0.378331 | + | 0.925671i | \(0.623502\pi\) | |||||||
\(644\) | −36.8649 | − | 4.01539i | −1.45268 | − | 0.158228i | ||||
\(645\) | 10.9753 | − | 26.4967i | 0.432152 | − | 1.04331i | ||||
\(646\) | −7.91980 | + | 2.78774i | −0.311600 | + | 0.109682i | ||||
\(647\) | 22.1855 | + | 22.1855i | 0.872201 | + | 0.872201i | 0.992712 | − | 0.120511i | \(-0.0384534\pi\) |
−0.120511 | + | 0.992712i | \(0.538453\pi\) | |||||||
\(648\) | −11.0552 | + | 67.3303i | −0.434288 | + | 2.64498i | ||||
\(649\) | −19.6510 | + | 19.6510i | −0.771370 | + | 0.771370i | ||||
\(650\) | 3.42248 | − | 7.14066i | 0.134241 | − | 0.280080i | ||||
\(651\) | −31.8603 | − | 13.1970i | −1.24870 | − | 0.517230i | ||||
\(652\) | −13.0405 | + | 3.80931i | −0.510707 | + | 0.149184i | ||||
\(653\) | −1.15931 | − | 2.79883i | −0.0453675 | − | 0.109527i | 0.899571 | − | 0.436774i | \(-0.143879\pi\) |
−0.944939 | + | 0.327247i | \(0.893879\pi\) | |||||||
\(654\) | −37.6706 | − | 41.9966i | −1.47304 | − | 1.64220i | ||||
\(655\) | − | 48.7554i | − | 1.90503i | ||||||
\(656\) | 27.0867 | − | 17.3010i | 1.05756 | − | 0.675491i | ||||
\(657\) | 51.0256i | 1.99070i | ||||||||
\(658\) | −11.1456 | + | 9.99750i | −0.434500 | + | 0.389743i | ||||
\(659\) | 10.1074 | + | 24.4013i | 0.393727 | + | 0.950541i | 0.989121 | + | 0.147107i | \(0.0469961\pi\) |
−0.595394 | + | 0.803434i | \(0.703004\pi\) | |||||||
\(660\) | 25.0594 | − | 45.7412i | 0.975437 | − | 1.78047i | ||||
\(661\) | −38.7561 | − | 16.0533i | −1.50744 | − | 0.624400i | −0.532409 | − | 0.846487i | \(-0.678713\pi\) |
−0.975027 | + | 0.222087i | \(0.928713\pi\) | |||||||
\(662\) | 7.36933 | + | 3.53208i | 0.286417 | + | 0.137278i | ||||
\(663\) | 11.4986 | − | 11.4986i | 0.446569 | − | 0.446569i | ||||
\(664\) | 0.0759746 | + | 0.324540i | 0.00294839 | + | 0.0125946i | ||||
\(665\) | 10.8124 | + | 10.8124i | 0.419288 | + | 0.419288i | ||||
\(666\) | 26.2743 | + | 74.6436i | 1.01811 | + | 2.89238i | ||||
\(667\) | −12.3148 | + | 29.7305i | −0.476831 | + | 1.15117i | ||||
\(668\) | 29.4015 | + | 36.5893i | 1.13758 | + | 1.41568i | ||||
\(669\) | −21.0588 | + | 8.72282i | −0.814179 | + | 0.337244i | ||||
\(670\) | 1.93644 | − | 35.6616i | 0.0748110 | − | 1.37773i | ||||
\(671\) | 19.5435 | 0.754468 | ||||||||
\(672\) | −57.3145 | − | 44.8445i | −2.21096 | − | 1.72991i | ||||
\(673\) | 27.6438 | 1.06559 | 0.532795 | − | 0.846244i | \(-0.321142\pi\) | ||||
0.532795 | + | 0.846244i | \(0.321142\pi\) | |||||||
\(674\) | 1.15194 | − | 21.2142i | 0.0443710 | − | 0.817141i | ||||
\(675\) | −74.3658 | + | 30.8033i | −2.86234 | + | 1.18562i | ||||
\(676\) | −1.55903 | + | 1.25277i | −0.0599627 | + | 0.0481833i | ||||
\(677\) | −7.13997 | + | 17.2374i | −0.274411 | + | 0.662488i | −0.999662 | − | 0.0259972i | \(-0.991724\pi\) |
0.725251 | + | 0.688485i | \(0.241724\pi\) | |||||||
\(678\) | −23.1078 | − | 65.6480i | −0.887451 | − | 2.52119i | ||||
\(679\) | −15.2698 | − | 15.2698i | −0.586000 | − | 0.586000i | ||||
\(680\) | 39.3626 | + | 24.4290i | 1.50949 | + | 0.936810i | ||||
\(681\) | 7.89297 | − | 7.89297i | 0.302459 | − | 0.302459i | ||||
\(682\) | −8.47180 | − | 4.06049i | −0.324402 | − | 0.155484i | ||||
\(683\) | 37.7391 | + | 15.6320i | 1.44405 | + | 0.598144i | 0.960776 | − | 0.277327i | \(-0.0894485\pi\) |
0.483271 | + | 0.875471i | \(0.339449\pi\) | |||||||
\(684\) | −15.4156 | − | 8.44548i | −0.589430 | − | 0.322921i | ||||
\(685\) | 11.2825 | + | 27.2384i | 0.431083 | + | 1.04073i | ||||
\(686\) | 7.71363 | − | 6.91907i | 0.294508 | − | 0.264171i | ||||
\(687\) | 55.6932i | 2.12483i | ||||||||
\(688\) | −8.93746 | − | 6.24240i | −0.340737 | − | 0.237989i | ||||
\(689\) | 5.20077i | 0.198134i | ||||||||
\(690\) | 46.2926 | + | 51.6087i | 1.76233 | + | 1.96471i | ||||
\(691\) | 12.2904 | + | 29.6715i | 0.467547 | + | 1.12876i | 0.965231 | + | 0.261400i | \(0.0841842\pi\) |
−0.497683 | + | 0.867359i | \(0.665816\pi\) | |||||||
\(692\) | 4.39529 | + | 15.0465i | 0.167084 | + | 0.571984i | ||||
\(693\) | −67.8655 | − | 28.1108i | −2.57800 | − | 1.06784i | ||||
\(694\) | −8.67471 | + | 18.0989i | −0.329287 | + | 0.687026i | ||||
\(695\) | −28.0141 | + | 28.0141i | −1.06264 | + | 1.06264i | ||||
\(696\) | −51.3003 | + | 36.8300i | −1.94453 | + | 1.39604i | ||||
\(697\) | 28.5845 | + | 28.5845i | 1.08271 | + | 1.08271i | ||||
\(698\) | −31.0432 | + | 10.9271i | −1.17500 | + | 0.413596i | ||||
\(699\) | −21.1750 | + | 51.1210i | −0.800912 | + | 1.93357i | ||||
\(700\) | 4.82615 | − | 44.3085i | 0.182411 | − | 1.67470i | ||||
\(701\) | 47.3958 | − | 19.6320i | 1.79012 | − | 0.741490i | 0.800218 | − | 0.599709i | \(-0.204717\pi\) |
0.989898 | − | 0.141782i | \(-0.0452831\pi\) | |||||||
\(702\) | 20.3005 | + | 1.10232i | 0.766192 | + | 0.0416045i | ||||
\(703\) | −8.86621 | −0.334396 | ||||||||
\(704\) | −14.9285 | − | 13.0453i | −0.562638 | − | 0.491664i | ||||
\(705\) | 27.9918 | 1.05423 | ||||||||
\(706\) | −48.0846 | − | 2.61101i | −1.80969 | − | 0.0982665i | ||||
\(707\) | 16.5253 | − | 6.84499i | 0.621497 | − | 0.257432i | ||||
\(708\) | 7.84988 | − | 72.0690i | 0.295017 | − | 2.70852i | ||||
\(709\) | 4.83578 | − | 11.6746i | 0.181612 | − | 0.438449i | −0.806687 | − | 0.590978i | \(-0.798742\pi\) |
0.988299 | + | 0.152529i | \(0.0487418\pi\) | |||||||
\(710\) | −29.9541 | + | 10.5437i | −1.12416 | + | 0.395699i | ||||
\(711\) | 6.48402 | + | 6.48402i | 0.243170 | + | 0.243170i | ||||
\(712\) | 5.53611 | + | 7.71123i | 0.207475 | + | 0.288991i | ||||
\(713\) | 8.83028 | − | 8.83028i | 0.330697 | − | 0.330697i | ||||
\(714\) | 39.5607 | − | 82.5395i | 1.48052 | − | 3.08896i | ||||
\(715\) | −7.45384 | − | 3.08748i | −0.278758 | − | 0.115465i | ||||
\(716\) | −9.66814 | − | 33.0973i | −0.361315 | − | 1.23690i | ||||
\(717\) | −5.92168 | − | 14.2962i | −0.221149 | − | 0.533902i | ||||
\(718\) | −13.8643 | − | 15.4564i | −0.517412 | − | 0.576829i | ||||
\(719\) | 13.4962i | 0.503325i | 0.967815 | + | 0.251662i | \(0.0809773\pi\) | ||||
−0.967815 | + | 0.251662i | \(0.919023\pi\) | |||||||
\(720\) | 16.9540 | + | 95.4932i | 0.631840 | + | 3.55882i | ||||
\(721\) | − | 28.4218i | − | 1.05848i | ||||||
\(722\) | −18.5362 | + | 16.6268i | −0.689846 | + | 0.618787i | ||||
\(723\) | 24.3623 | + | 58.8158i | 0.906044 | + | 2.18738i | ||||
\(724\) | −5.02115 | − | 2.75085i | −0.186610 | − | 0.102235i | ||||
\(725\) | −35.7336 | − | 14.8013i | −1.32711 | − | 0.549708i | ||||
\(726\) | 20.0283 | + | 9.59945i | 0.743320 | + | 0.356269i | ||||
\(727\) | 21.8851 | − | 21.8851i | 0.811673 | − | 0.811673i | −0.173211 | − | 0.984885i | \(-0.555414\pi\) |
0.984885 | + | 0.173211i | \(0.0554144\pi\) | |||||||
\(728\) | −5.93619 | + | 9.56500i | −0.220010 | + | 0.354503i | ||||
\(729\) | −28.4705 | − | 28.4705i | −1.05446 | − | 1.05446i | ||||
\(730\) | 10.4737 | + | 29.7551i | 0.387648 | + | 1.10128i | ||||
\(731\) | 5.24715 | − | 12.6677i | 0.194073 | − | 0.468533i | ||||
\(732\) | −39.7408 | + | 31.9339i | −1.46886 | + | 1.18031i | ||||
\(733\) | 0.332272 | − | 0.137632i | 0.0122728 | − | 0.00508355i | −0.376539 | − | 0.926401i | \(-0.622886\pi\) |
0.388811 | + | 0.921317i | \(0.372886\pi\) | |||||||
\(734\) | 2.61803 | − | 48.2138i | 0.0966331 | − | 1.77961i | ||||
\(735\) | −93.0344 | −3.43163 | ||||||||
\(736\) | 22.9456 | − | 12.9605i | 0.845785 | − | 0.477731i | ||||
\(737\) | −19.2228 | −0.708081 | ||||||||
\(738\) | −4.58866 | + | 84.5052i | −0.168911 | + | 3.11068i | ||||
\(739\) | 39.4456 | − | 16.3389i | 1.45103 | − | 0.601037i | 0.488587 | − | 0.872515i | \(-0.337513\pi\) |
0.962445 | + | 0.271478i | \(0.0875126\pi\) | |||||||
\(740\) | 30.6432 | + | 38.1346i | 1.12647 | + | 1.40185i | ||||
\(741\) | −1.45968 | + | 3.52399i | −0.0536228 | + | 0.129457i | ||||
\(742\) | 9.71957 | + | 27.6127i | 0.356817 | + | 1.01369i | ||||
\(743\) | 3.84570 | + | 3.84570i | 0.141085 | + | 0.141085i | 0.774122 | − | 0.633037i | \(-0.218192\pi\) |
−0.633037 | + | 0.774122i | \(0.718192\pi\) | |||||||
\(744\) | 23.8618 | − | 5.58603i | 0.874816 | − | 0.204794i | ||||
\(745\) | −6.71067 | + | 6.71067i | −0.245860 | + | 0.245860i | ||||
\(746\) | −5.17432 | − | 2.48002i | −0.189445 | − | 0.0908000i | ||||
\(747\) | −0.810848 | − | 0.335864i | −0.0296674 | − | 0.0122886i | ||||
\(748\) | 11.9806 | − | 21.8683i | 0.438054 | − | 0.799584i | ||||
\(749\) | 1.74056 | + | 4.20208i | 0.0635987 | + | 0.153541i | ||||
\(750\) | −6.63820 | + | 5.95442i | −0.242393 | + | 0.217425i | ||||
\(751\) | − | 28.6037i | − | 1.04376i | −0.853018 | − | 0.521882i | \(-0.825230\pi\) | ||
0.853018 | − | 0.521882i | \(-0.174770\pi\) | |||||||
\(752\) | 2.29071 | − | 10.3906i | 0.0835335 | − | 0.378907i | ||||
\(753\) | − | 28.6883i | − | 1.04546i | ||||||
\(754\) | 6.52301 | + | 7.27209i | 0.237554 | + | 0.264834i | ||||
\(755\) | −7.39667 | − | 17.8571i | −0.269192 | − | 0.649888i | ||||
\(756\) | 109.843 | − | 32.0864i | 3.99493 | − | 1.16697i | ||||
\(757\) | 12.8251 | + | 5.31232i | 0.466135 | + | 0.193079i | 0.603374 | − | 0.797459i | \(-0.293823\pi\) |
−0.137239 | + | 0.990538i | \(0.543823\pi\) | |||||||
\(758\) | −9.92094 | + | 20.6991i | −0.360345 | + | 0.751824i | ||||
\(759\) | 26.3860 | − | 26.3860i | 0.957752 | − | 0.957752i | ||||
\(760\) | −10.7230 | − | 1.76064i | −0.388964 | − | 0.0638652i | ||||
\(761\) | 28.3230 | + | 28.3230i | 1.02671 | + | 1.02671i | 0.999633 | + | 0.0270756i | \(0.00861949\pi\) |
0.0270756 | + | 0.999633i | \(0.491381\pi\) | |||||||
\(762\) | 18.8831 | − | 6.64679i | 0.684063 | − | 0.240788i | ||||
\(763\) | −18.7980 | + | 45.3824i | −0.680533 | + | 1.64295i | ||||
\(764\) | −32.5907 | − | 3.54984i | −1.17909 | − | 0.128429i | ||||
\(765\) | −112.699 | + | 46.6813i | −4.07463 | + | 1.68777i | ||||
\(766\) | −40.5834 | − | 2.20369i | −1.46634 | − | 0.0796226i | ||||
\(767\) | −11.2143 | −0.404925 | ||||||||
\(768\) | 51.6723 | + | 2.13409i | 1.86456 | + | 0.0770074i | ||||
\(769\) | 45.4051 | 1.63735 | 0.818675 | − | 0.574257i | \(-0.194709\pi\) | ||||
0.818675 | + | 0.574257i | \(0.194709\pi\) | |||||||
\(770\) | −45.3452 | − | 2.46226i |