Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [547,2,Mod(4,547)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(547, base_ring=CyclotomicField(546))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("547.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 547.o (of order \(273\), degree \(144\), 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: | \(4.36781699056\) |
Analytic rank: | \(0\) |
Dimension: | \(6480\) |
Relative dimension: | \(45\) over \(\Q(\zeta_{273})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{273}]$ |
Embedding invariants
Embedding label | 4.11 | ||
Character | \(\chi\) | \(=\) | 547.4 |
Dual form | 547.2.o.a.137.11 |
$q$-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 \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{273}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.82406 | − | 0.0209916i | −1.28981 | − | 0.0148433i | −0.636108 | − | 0.771600i | \(-0.719457\pi\) |
−0.653697 | + | 0.756756i | \(0.726783\pi\) | |||||||
\(3\) | −0.585104 | + | 2.56351i | −0.337810 | + | 1.48004i | 0.465802 | + | 0.884889i | \(0.345766\pi\) |
−0.803612 | + | 0.595153i | \(0.797091\pi\) | |||||||
\(4\) | 1.32728 | + | 0.0305533i | 0.663642 | + | 0.0152766i | ||||
\(5\) | −1.34163 | + | 2.52090i | −0.599993 | + | 1.12738i | 0.379365 | + | 0.925247i | \(0.376142\pi\) |
−0.979358 | + | 0.202132i | \(0.935213\pi\) | |||||||
\(6\) | 1.12108 | − | 4.66371i | 0.457678 | − | 1.90395i | ||||
\(7\) | −0.483254 | − | 1.19083i | −0.182653 | − | 0.450092i | 0.807538 | − | 0.589816i | \(-0.200800\pi\) |
−0.990190 | + | 0.139724i | \(0.955378\pi\) | |||||||
\(8\) | 1.22578 | + | 0.0423345i | 0.433380 | + | 0.0149675i | ||||
\(9\) | −3.52632 | − | 1.69819i | −1.17544 | − | 0.566062i | ||||
\(10\) | 2.50012 | − | 4.57011i | 0.790608 | − | 1.44519i | ||||
\(11\) | −4.19869 | − | 4.37130i | −1.26595 | − | 1.31800i | −0.925985 | − | 0.377561i | \(-0.876763\pi\) |
−0.339969 | − | 0.940437i | \(-0.610417\pi\) | |||||||
\(12\) | −0.854923 | + | 3.38463i | −0.246795 | + | 0.977057i | ||||
\(13\) | 4.43866 | + | 0.669020i | 1.23106 | + | 0.185553i | 0.732176 | − | 0.681115i | \(-0.238505\pi\) |
0.498885 | + | 0.866668i | \(0.333743\pi\) | |||||||
\(14\) | 0.856487 | + | 2.18229i | 0.228906 | + | 0.583242i | ||||
\(15\) | −5.67735 | − | 4.91425i | −1.46589 | − | 1.26886i | ||||
\(16\) | −4.88747 | − | 0.225133i | −1.22187 | − | 0.0562832i | ||||
\(17\) | 1.03622 | − | 6.15233i | 0.251320 | − | 1.49216i | −0.519151 | − | 0.854683i | \(-0.673752\pi\) |
0.770471 | − | 0.637475i | \(-0.220021\pi\) | |||||||
\(18\) | 6.39657 | + | 3.17162i | 1.50769 | + | 0.747557i | ||||
\(19\) | −0.803415 | + | 0.433529i | −0.184316 | + | 0.0994584i | −0.564429 | − | 0.825482i | \(-0.690904\pi\) |
0.380113 | + | 0.924940i | \(0.375885\pi\) | |||||||
\(20\) | −1.85774 | + | 3.30496i | −0.415403 | + | 0.739011i | ||||
\(21\) | 3.33546 | − | 0.542065i | 0.727857 | − | 0.118288i | ||||
\(22\) | 7.56691 | + | 8.06166i | 1.61327 | + | 1.71875i | ||||
\(23\) | −3.89912 | − | 0.913584i | −0.813023 | − | 0.190496i | −0.199220 | − | 0.979955i | \(-0.563841\pi\) |
−0.613803 | + | 0.789459i | \(0.710361\pi\) | |||||||
\(24\) | −0.825736 | + | 3.11754i | −0.168553 | + | 0.636364i | ||||
\(25\) | −1.76218 | − | 2.61687i | −0.352436 | − | 0.523374i | ||||
\(26\) | −8.08233 | − | 1.31351i | −1.58508 | − | 0.257600i | ||||
\(27\) | 1.49830 | − | 1.87881i | 0.288348 | − | 0.361577i | ||||
\(28\) | −0.605031 | − | 1.59534i | −0.114340 | − | 0.301490i | ||||
\(29\) | −2.04301 | − | 1.16391i | −0.379377 | − | 0.216132i | 0.293380 | − | 0.955996i | \(-0.405220\pi\) |
−0.672757 | + | 0.739863i | \(0.734890\pi\) | |||||||
\(30\) | 10.2527 | + | 9.08307i | 1.87187 | + | 1.65833i | ||||
\(31\) | 6.95289 | + | 2.50048i | 1.24878 | + | 0.449100i | 0.877569 | − | 0.479450i | \(-0.159164\pi\) |
0.371207 | + | 0.928550i | \(0.378944\pi\) | |||||||
\(32\) | 6.46135 | + | 0.372186i | 1.14222 | + | 0.0657938i | ||||
\(33\) | 13.6625 | − | 8.20572i | 2.37834 | − | 1.42843i | ||||
\(34\) | −2.01927 | + | 11.2005i | −0.346302 | + | 1.92086i | ||||
\(35\) | 3.65031 | + | 0.379416i | 0.617015 | + | 0.0641331i | ||||
\(36\) | −4.62854 | − | 2.36172i | −0.771424 | − | 0.393619i | ||||
\(37\) | −3.02909 | + | 2.44426i | −0.497979 | + | 0.401834i | −0.843959 | − | 0.536408i | \(-0.819781\pi\) |
0.345980 | + | 0.938242i | \(0.387546\pi\) | |||||||
\(38\) | 1.47458 | − | 0.773918i | 0.239208 | − | 0.125546i | ||||
\(39\) | −4.31211 | + | 10.9871i | −0.690491 | + | 1.75934i | ||||
\(40\) | −1.75126 | + | 3.03328i | −0.276899 | + | 0.479603i | ||||
\(41\) | −2.40457 | − | 4.16484i | −0.375531 | − | 0.650438i | 0.614876 | − | 0.788624i | \(-0.289206\pi\) |
−0.990406 | + | 0.138186i | \(0.955873\pi\) | |||||||
\(42\) | −6.09546 | + | 0.918742i | −0.940550 | + | 0.141765i | ||||
\(43\) | 0.0164151 | − | 0.167282i | 0.00250328 | − | 0.0255102i | −0.993887 | − | 0.110406i | \(-0.964785\pi\) |
0.996390 | + | 0.0848961i | \(0.0270558\pi\) | |||||||
\(44\) | −5.43930 | − | 5.93024i | −0.820006 | − | 0.894018i | ||||
\(45\) | 9.01195 | − | 6.61116i | 1.34342 | − | 0.985534i | ||||
\(46\) | 7.09306 | + | 1.74828i | 1.04581 | + | 0.257770i | ||||
\(47\) | −0.355226 | + | 0.0286768i | −0.0518150 | + | 0.00418294i | −0.106347 | − | 0.994329i | \(-0.533915\pi\) |
0.0545319 | + | 0.998512i | \(0.482633\pi\) | |||||||
\(48\) | 3.43681 | − | 12.3973i | 0.496061 | − | 1.78940i | ||||
\(49\) | 3.83589 | − | 3.72709i | 0.547984 | − | 0.532441i | ||||
\(50\) | 3.15939 | + | 4.81032i | 0.446805 | + | 0.680281i | ||||
\(51\) | 15.1652 | + | 6.25611i | 2.12356 | + | 0.876030i | ||||
\(52\) | 5.87092 | + | 1.02359i | 0.814150 | + | 0.141947i | ||||
\(53\) | 3.56384 | − | 1.23554i | 0.489531 | − | 0.169715i | −0.0716144 | − | 0.997432i | \(-0.522815\pi\) |
0.561145 | + | 0.827717i | \(0.310361\pi\) | |||||||
\(54\) | −2.77243 | + | 3.39561i | −0.377280 | + | 0.462084i | ||||
\(55\) | 16.6527 | − | 4.71982i | 2.24545 | − | 0.636421i | ||||
\(56\) | −0.541951 | − | 1.48016i | −0.0724213 | − | 0.197795i | ||||
\(57\) | −0.641274 | − | 2.31322i | −0.0849388 | − | 0.306394i | ||||
\(58\) | 3.70213 | + | 2.16592i | 0.486114 | + | 0.284400i | ||||
\(59\) | −8.91486 | + | 3.79827i | −1.16062 | + | 0.494492i | −0.884458 | − | 0.466620i | \(-0.845472\pi\) |
−0.276158 | + | 0.961112i | \(0.589061\pi\) | |||||||
\(60\) | −7.38531 | − | 6.69607i | −0.953439 | − | 0.864459i | ||||
\(61\) | −1.88000 | + | 0.878854i | −0.240709 | + | 0.112526i | −0.540088 | − | 0.841609i | \(-0.681609\pi\) |
0.299378 | + | 0.954134i | \(0.403221\pi\) | |||||||
\(62\) | −12.6300 | − | 4.70698i | −1.60401 | − | 0.597787i | ||||
\(63\) | −0.318146 | + | 5.01991i | −0.0400826 | + | 0.632449i | ||||
\(64\) | −2.01608 | − | 0.139424i | −0.252010 | − | 0.0174280i | ||||
\(65\) | −7.64154 | + | 10.2918i | −0.947817 | + | 1.27654i | ||||
\(66\) | −25.0935 | + | 14.6809i | −3.08880 | + | 1.80710i | ||||
\(67\) | −6.72930 | − | 6.53843i | −0.822115 | − | 0.798797i | 0.159993 | − | 0.987118i | \(-0.448853\pi\) |
−0.982107 | + | 0.188321i | \(0.939695\pi\) | |||||||
\(68\) | 1.56333 | − | 8.13422i | 0.189582 | − | 0.986419i | ||||
\(69\) | 4.62337 | − | 9.46089i | 0.556589 | − | 1.13896i | ||||
\(70\) | −6.65042 | − | 0.768704i | −0.794877 | − | 0.0918777i | ||||
\(71\) | 14.7267 | − | 2.91831i | 1.74773 | − | 0.346339i | 0.785562 | − | 0.618782i | \(-0.212374\pi\) |
0.962172 | + | 0.272443i | \(0.0878316\pi\) | |||||||
\(72\) | −4.25061 | − | 2.23089i | −0.500939 | − | 0.262913i | ||||
\(73\) | 8.25677 | − | 7.14697i | 0.966381 | − | 0.836490i | −0.0201941 | − | 0.999796i | \(-0.506428\pi\) |
0.986575 | + | 0.163307i | \(0.0522160\pi\) | |||||||
\(74\) | 5.57655 | − | 4.39489i | 0.648260 | − | 0.510896i | ||||
\(75\) | 7.73942 | − | 2.98622i | 0.893672 | − | 0.344819i | ||||
\(76\) | −1.07961 | + | 0.550869i | −0.123839 | + | 0.0631890i | ||||
\(77\) | −3.17645 | + | 7.11239i | −0.361990 | + | 0.810532i | ||||
\(78\) | 8.09619 | − | 19.9506i | 0.916713 | − | 2.25896i | ||||
\(79\) | −6.30247 | − | 4.51286i | −0.709084 | − | 0.507736i | 0.169377 | − | 0.985551i | \(-0.445825\pi\) |
−0.878460 | + | 0.477815i | \(0.841429\pi\) | |||||||
\(80\) | 7.12469 | − | 12.0188i | 0.796565 | − | 1.34374i | ||||
\(81\) | −3.38118 | − | 4.23987i | −0.375687 | − | 0.471096i | ||||
\(82\) | 4.29865 | + | 7.64739i | 0.474707 | + | 0.844513i | ||||
\(83\) | −5.22418 | − | 3.30357i | −0.573429 | − | 0.362614i | 0.216059 | − | 0.976380i | \(-0.430679\pi\) |
−0.789488 | + | 0.613766i | \(0.789654\pi\) | |||||||
\(84\) | 4.44366 | − | 0.617565i | 0.484844 | − | 0.0673819i | ||||
\(85\) | 14.1192 | + | 10.8663i | 1.53144 | + | 1.17862i | ||||
\(86\) | −0.0334536 | + | 0.304788i | −0.00360740 | + | 0.0328661i | ||||
\(87\) | 4.17906 | − | 4.55626i | 0.448042 | − | 0.488482i | ||||
\(88\) | −4.96163 | − | 5.53602i | −0.528912 | − | 0.590142i | ||||
\(89\) | 0.418554 | + | 4.83752i | 0.0443666 | + | 0.512776i | 0.984906 | + | 0.173091i | \(0.0553754\pi\) |
−0.940539 | + | 0.339685i | \(0.889680\pi\) | |||||||
\(90\) | −16.5771 | + | 11.8700i | −1.74738 | + | 1.25121i | ||||
\(91\) | −1.34831 | − | 5.60900i | −0.141341 | − | 0.587983i | ||||
\(92\) | −5.14733 | − | 1.33172i | −0.536646 | − | 0.138841i | ||||
\(93\) | −10.4782 | + | 16.3607i | −1.08654 | + | 1.69653i | ||||
\(94\) | 0.648555 | − | 0.0448514i | 0.0668933 | − | 0.00462607i | ||||
\(95\) | −0.0150002 | − | 2.60696i | −0.00153899 | − | 0.267469i | ||||
\(96\) | −4.73466 | + | 16.3460i | −0.483229 | + | 1.66830i | ||||
\(97\) | −1.89774 | − | 14.2562i | −0.192686 | − | 1.44750i | −0.773671 | − | 0.633587i | \(-0.781582\pi\) |
0.580985 | − | 0.813914i | \(-0.302667\pi\) | |||||||
\(98\) | −7.07513 | + | 6.71791i | −0.714696 | + | 0.678612i | ||||
\(99\) | 7.38265 | + | 22.5448i | 0.741984 | + | 2.26584i | ||||
\(100\) | −2.25896 | − | 3.52717i | −0.225896 | − | 0.352717i | ||||
\(101\) | 9.66519 | + | 13.0173i | 0.961722 | + | 1.29527i | 0.955407 | + | 0.295291i | \(0.0954166\pi\) |
0.00631469 | + | 0.999980i | \(0.497990\pi\) | |||||||
\(102\) | −27.5310 | − | 11.7299i | −2.72597 | − | 1.16143i | ||||
\(103\) | −3.19409 | − | 6.93639i | −0.314723 | − | 0.683463i | 0.684227 | − | 0.729269i | \(-0.260140\pi\) |
−0.998950 | + | 0.0458059i | \(0.985414\pi\) | |||||||
\(104\) | 5.41251 | + | 1.00798i | 0.530740 | + | 0.0988407i | ||||
\(105\) | −3.10845 | + | 9.13560i | −0.303353 | + | 0.891543i | ||||
\(106\) | −6.52659 | + | 2.17890i | −0.633919 | + | 0.211633i | ||||
\(107\) | −2.91051 | + | 0.717377i | −0.281370 | + | 0.0693514i | −0.377475 | − | 0.926020i | \(-0.623208\pi\) |
0.0961052 | + | 0.995371i | \(0.469361\pi\) | |||||||
\(108\) | 2.04608 | − | 2.44794i | 0.196884 | − | 0.235553i | ||||
\(109\) | 5.28793 | + | 10.2178i | 0.506492 | + | 0.978684i | 0.994389 | + | 0.105783i | \(0.0337348\pi\) |
−0.487897 | + | 0.872901i | \(0.662236\pi\) | |||||||
\(110\) | −30.4746 | + | 8.25968i | −2.90564 | + | 0.787529i | ||||
\(111\) | −4.49355 | − | 9.19524i | −0.426509 | − | 0.872773i | ||||
\(112\) | 2.09380 | + | 5.92895i | 0.197845 | + | 0.560233i | ||||
\(113\) | −0.370990 | − | 12.8918i | −0.0348998 | − | 1.21276i | −0.812104 | − | 0.583513i | \(-0.801678\pi\) |
0.777204 | − | 0.629249i | \(-0.216637\pi\) | |||||||
\(114\) | 1.12116 | + | 4.23291i | 0.105007 | + | 0.396449i | ||||
\(115\) | 7.53422 | − | 8.60360i | 0.702569 | − | 0.802290i | ||||
\(116\) | −2.67609 | − | 1.60726i | −0.248469 | − | 0.149230i | ||||
\(117\) | −14.5160 | − | 9.89684i | −1.34200 | − | 0.914963i | ||||
\(118\) | 16.3410 | − | 6.74113i | 1.50431 | − | 0.620572i | ||||
\(119\) | −7.82714 | + | 1.73917i | −0.717513 | + | 0.159430i | ||||
\(120\) | −6.75116 | − | 6.26416i | −0.616294 | − | 0.571837i | ||||
\(121\) | −1.03634 | + | 25.7164i | −0.0942125 | + | 2.33786i | ||||
\(122\) | 3.44768 | − | 1.56362i | 0.312138 | − | 0.141563i | ||||
\(123\) | 12.0835 | − | 3.72727i | 1.08953 | − | 0.336077i | ||||
\(124\) | 9.15206 | + | 3.53128i | 0.821879 | + | 0.317119i | ||||
\(125\) | −5.24082 | + | 0.544736i | −0.468753 | + | 0.0487227i | ||||
\(126\) | 0.685693 | − | 9.14993i | 0.0610864 | − | 0.815141i | ||||
\(127\) | −3.24893 | + | 8.87337i | −0.288296 | + | 0.787384i | 0.708374 | + | 0.705838i | \(0.249429\pi\) |
−0.996670 | + | 0.0815468i | \(0.974014\pi\) | |||||||
\(128\) | −9.22762 | − | 0.744930i | −0.815614 | − | 0.0658432i | ||||
\(129\) | 0.419224 | + | 0.139957i | 0.0369106 | + | 0.0123226i | ||||
\(130\) | 14.1547 | − | 18.6125i | 1.24145 | − | 1.63242i | ||||
\(131\) | −19.0736 | − | 4.00836i | −1.66647 | − | 0.350212i | −0.725373 | − | 0.688356i | \(-0.758333\pi\) |
−0.941094 | + | 0.338144i | \(0.890201\pi\) | |||||||
\(132\) | 18.3848 | − | 10.4739i | 1.60019 | − | 0.911634i | ||||
\(133\) | 0.904514 | + | 0.747227i | 0.0784313 | + | 0.0647928i | ||||
\(134\) | 12.1374 | + | 12.0678i | 1.04851 | + | 1.04250i | ||||
\(135\) | 2.72613 | + | 6.29773i | 0.234628 | + | 0.542022i | ||||
\(136\) | 1.53064 | − | 7.49755i | 0.131251 | − | 0.642910i | ||||
\(137\) | 4.42654 | − | 0.101896i | 0.378185 | − | 0.00870559i | 0.166495 | − | 0.986042i | \(-0.446755\pi\) |
0.211690 | + | 0.977337i | \(0.432103\pi\) | |||||||
\(138\) | −8.63191 | + | 17.1602i | −0.734797 | + | 1.46077i | ||||
\(139\) | −1.47239 | − | 0.667768i | −0.124886 | − | 0.0566394i | 0.349619 | − | 0.936892i | \(-0.386311\pi\) |
−0.474506 | + | 0.880252i | \(0.657373\pi\) | |||||||
\(140\) | 4.83341 | + | 0.615122i | 0.408497 | + | 0.0519873i | ||||
\(141\) | 0.134331 | − | 0.927403i | 0.0113127 | − | 0.0781014i | ||||
\(142\) | −26.9236 | + | 5.01403i | −2.25938 | + | 0.420768i | ||||
\(143\) | −15.7121 | − | 22.2117i | −1.31391 | − | 1.85744i | ||||
\(144\) | 16.8525 | + | 9.09373i | 1.40437 | + | 0.757811i | ||||
\(145\) | 5.67504 | − | 3.58868i | 0.471287 | − | 0.298024i | ||||
\(146\) | −15.2109 | + | 12.8632i | −1.25886 | + | 1.06456i | ||||
\(147\) | 7.31003 | + | 12.0141i | 0.602921 | + | 0.990903i | ||||
\(148\) | −4.09514 | + | 3.15168i | −0.336618 | + | 0.259067i | ||||
\(149\) | −1.33597 | + | 1.35923i | −0.109447 | + | 0.111353i | −0.765730 | − | 0.643162i | \(-0.777622\pi\) |
0.656283 | + | 0.754515i | \(0.272128\pi\) | |||||||
\(150\) | −14.1799 | + | 5.28459i | −1.15778 | + | 0.431485i | ||||
\(151\) | −1.02183 | − | 3.38164i | −0.0831551 | − | 0.275194i | 0.905735 | − | 0.423845i | \(-0.139320\pi\) |
−0.988890 | + | 0.148651i | \(0.952507\pi\) | |||||||
\(152\) | −1.00317 | + | 0.497401i | −0.0813675 | + | 0.0403445i | ||||
\(153\) | −14.1018 | + | 19.9354i | −1.14007 | + | 1.61168i | ||||
\(154\) | 5.94334 | − | 12.9067i | 0.478928 | − | 1.04005i | ||||
\(155\) | −15.6316 | + | 14.1728i | −1.25556 | + | 1.13839i | ||||
\(156\) | −6.05909 | + | 14.4512i | −0.485115 | + | 1.15702i | ||||
\(157\) | −2.69087 | − | 3.21937i | −0.214755 | − | 0.256934i | 0.649067 | − | 0.760731i | \(-0.275159\pi\) |
−0.863822 | + | 0.503797i | \(0.831936\pi\) | |||||||
\(158\) | 11.4014 | + | 8.36402i | 0.907043 | + | 0.665406i | ||||
\(159\) | 1.08211 | + | 9.85885i | 0.0858170 | + | 0.781858i | ||||
\(160\) | −9.60695 | + | 15.7891i | −0.759496 | + | 1.24823i | ||||
\(161\) | 0.796341 | + | 5.08469i | 0.0627605 | + | 0.400730i | ||||
\(162\) | 6.07847 | + | 7.80475i | 0.477570 | + | 0.613199i | ||||
\(163\) | 1.96848 | − | 6.25369i | 0.154184 | − | 0.489827i | −0.844791 | − | 0.535096i | \(-0.820275\pi\) |
0.998975 | + | 0.0452694i | \(0.0144146\pi\) | |||||||
\(164\) | −3.06430 | − | 5.60139i | −0.239282 | − | 0.437395i | ||||
\(165\) | 2.35576 | + | 45.4509i | 0.183395 | + | 3.53835i | ||||
\(166\) | 9.45988 | + | 6.13558i | 0.734229 | + | 0.476213i | ||||
\(167\) | −0.0557832 | + | 3.23134i | −0.00431664 | + | 0.250048i | 0.989845 | + | 0.142149i | \(0.0454013\pi\) |
−0.994162 | + | 0.107899i | \(0.965588\pi\) | |||||||
\(168\) | 4.11150 | − | 0.523249i | 0.317209 | − | 0.0403695i | ||||
\(169\) | 6.83163 | + | 2.10728i | 0.525510 | + | 0.162098i | ||||
\(170\) | −25.5261 | − | 20.1172i | −1.95776 | − | 1.54292i | ||||
\(171\) | 3.56931 | − | 0.164414i | 0.272952 | − | 0.0125730i | ||||
\(172\) | 0.0268985 | − | 0.221529i | 0.00205099 | − | 0.0168914i | ||||
\(173\) | 14.5030 | − | 9.64538i | 1.10264 | − | 0.733324i | 0.136320 | − | 0.990665i | \(-0.456473\pi\) |
0.966321 | + | 0.257340i | \(0.0828462\pi\) | |||||||
\(174\) | −7.71850 | + | 8.22316i | −0.585138 | + | 0.623396i | ||||
\(175\) | −2.26467 | + | 3.36307i | −0.171193 | + | 0.254224i | ||||
\(176\) | 19.5369 | + | 22.3099i | 1.47265 | + | 1.68167i | ||||
\(177\) | −4.52077 | − | 25.0757i | −0.339802 | − | 1.88481i | ||||
\(178\) | −0.661920 | − | 8.83271i | −0.0496130 | − | 0.662040i | ||||
\(179\) | 13.0841 | + | 3.70838i | 0.977949 | + | 0.277177i | 0.723817 | − | 0.689992i | \(-0.242386\pi\) |
0.254132 | + | 0.967170i | \(0.418210\pi\) | |||||||
\(180\) | 12.1634 | − | 8.49954i | 0.906607 | − | 0.633518i | ||||
\(181\) | −5.30189 | − | 25.9704i | −0.394087 | − | 1.93036i | −0.365607 | − | 0.930769i | \(-0.619139\pi\) |
−0.0284794 | − | 0.999594i | \(-0.509067\pi\) | |||||||
\(182\) | 2.34165 | + | 10.2595i | 0.173575 | + | 0.760481i | ||||
\(183\) | −1.15295 | − | 5.33362i | −0.0852289 | − | 0.394272i | ||||
\(184\) | −4.74080 | − | 1.28492i | −0.349497 | − | 0.0947259i | ||||
\(185\) | −2.09783 | − | 10.9153i | −0.154236 | − | 0.802509i | ||||
\(186\) | 19.4562 | − | 29.6230i | 1.42660 | − | 2.17207i | ||||
\(187\) | −31.2444 | + | 21.3021i | −2.28482 | + | 1.55776i | ||||
\(188\) | −0.472361 | + | 0.0272089i | −0.0344505 | + | 0.00198441i | ||||
\(189\) | −2.96141 | − | 0.876283i | −0.215411 | − | 0.0637402i | ||||
\(190\) | −0.0273630 | + | 4.75557i | −0.00198512 | + | 0.345005i | ||||
\(191\) | −0.918445 | − | 14.4918i | −0.0664563 | − | 1.04859i | −0.882412 | − | 0.470477i | \(-0.844082\pi\) |
0.815956 | − | 0.578114i | \(-0.196211\pi\) | |||||||
\(192\) | 1.53703 | − | 5.08666i | 0.110926 | − | 0.367098i | ||||
\(193\) | −0.0916862 | − | 0.544367i | −0.00659971 | − | 0.0391844i | 0.982616 | − | 0.185647i | \(-0.0594382\pi\) |
−0.989216 | + | 0.146463i | \(0.953211\pi\) | |||||||
\(194\) | 3.16232 | + | 26.0441i | 0.227042 | + | 1.86986i | ||||
\(195\) | −21.9121 | − | 25.6109i | −1.56916 | − | 1.83404i | ||||
\(196\) | 5.20519 | − | 4.82971i | 0.371799 | − | 0.344979i | ||||
\(197\) | −12.1238 | + | 17.5644i | −0.863786 | + | 1.25141i | 0.102705 | + | 0.994712i | \(0.467250\pi\) |
−0.966491 | + | 0.256699i | \(0.917365\pi\) | |||||||
\(198\) | −12.9931 | − | 41.2780i | −0.923383 | − | 2.93350i | ||||
\(199\) | 14.5862 | − | 15.1858i | 1.03399 | − | 1.07649i | 0.0369691 | − | 0.999316i | \(-0.488230\pi\) |
0.997017 | − | 0.0771775i | \(-0.0245908\pi\) | |||||||
\(200\) | −2.04927 | − | 3.28232i | −0.144905 | − | 0.232095i | ||||
\(201\) | 20.6987 | − | 13.4249i | 1.45997 | − | 0.946923i | ||||
\(202\) | −17.3566 | − | 23.9473i | −1.22121 | − | 1.68492i | ||||
\(203\) | −0.398728 | + | 2.99534i | −0.0279852 | + | 0.210232i | ||||
\(204\) | 19.9374 | + | 8.76698i | 1.39590 | + | 0.613811i | ||||
\(205\) | 13.7252 | − | 0.474022i | 0.958607 | − | 0.0331071i | ||||
\(206\) | 5.68061 | + | 12.7194i | 0.395787 | + | 0.886206i | ||||
\(207\) | 12.1981 | + | 9.84303i | 0.847828 | + | 0.684138i | ||||
\(208\) | −21.5432 | − | 4.26910i | −1.49375 | − | 0.296009i | ||||
\(209\) | 5.26838 | + | 1.69172i | 0.364422 | + | 0.117018i | ||||
\(210\) | 5.86177 | − | 16.5986i | 0.404500 | − | 1.14541i | ||||
\(211\) | 16.4957 | − | 1.90670i | 1.13561 | − | 0.131262i | 0.473589 | − | 0.880746i | \(-0.342958\pi\) |
0.662023 | + | 0.749483i | \(0.269698\pi\) | |||||||
\(212\) | 4.76798 | − | 1.53103i | 0.327466 | − | 0.105152i | ||||
\(213\) | −1.13553 | + | 39.4595i | −0.0778051 | + | 2.70372i | ||||
\(214\) | 5.32401 | − | 1.24744i | 0.363942 | − | 0.0852734i | ||||
\(215\) | 0.399678 | + | 0.265810i | 0.0272578 | + | 0.0181281i | ||||
\(216\) | 1.91613 | − | 2.23959i | 0.130376 | − | 0.152385i | ||||
\(217\) | −0.382357 | − | 9.48809i | −0.0259561 | − | 0.644093i | ||||
\(218\) | −9.43102 | − | 18.7488i | −0.638749 | − | 1.26983i | ||||
\(219\) | 13.4902 | + | 25.3480i | 0.911586 | + | 1.71286i | ||||
\(220\) | 22.2470 | − | 5.75575i | 1.49990 | − | 0.388053i | ||||
\(221\) | 8.71545 | − | 26.6148i | 0.586264 | − | 1.79031i | ||||
\(222\) | 8.00349 | + | 16.8670i | 0.537159 | + | 1.13204i | ||||
\(223\) | −17.2772 | − | 22.7185i | −1.15697 | − | 1.52134i | −0.812907 | − | 0.582394i | \(-0.802116\pi\) |
−0.344062 | − | 0.938947i | \(-0.611803\pi\) | |||||||
\(224\) | −2.67926 | − | 7.87424i | −0.179016 | − | 0.526120i | ||||
\(225\) | 1.77008 | + | 12.2204i | 0.118006 | + | 0.814695i | ||||
\(226\) | 0.406087 | + | 23.5233i | 0.0270125 | + | 1.56475i | ||||
\(227\) | 7.02456 | − | 11.2512i | 0.466236 | − | 0.746772i | −0.528533 | − | 0.848912i | \(-0.677258\pi\) |
0.994770 | + | 0.102141i | \(0.0325693\pi\) | |||||||
\(228\) | −0.780476 | − | 3.08989i | −0.0516883 | − | 0.204633i | ||||
\(229\) | −0.530057 | − | 5.40168i | −0.0350272 | − | 0.356953i | −0.996599 | − | 0.0824004i | \(-0.973741\pi\) |
0.961572 | − | 0.274552i | \(-0.0885297\pi\) | |||||||
\(230\) | −13.9235 | + | 15.5353i | −0.918086 | + | 1.02437i | ||||
\(231\) | −16.3741 | − | 12.3043i | −1.07734 | − | 0.809566i | ||||
\(232\) | −2.45501 | − | 1.51319i | −0.161179 | − | 0.0993457i | ||||
\(233\) | −5.75524 | − | 7.04889i | −0.377038 | − | 0.461788i | 0.550873 | − | 0.834589i | \(-0.314295\pi\) |
−0.927911 | + | 0.372801i | \(0.878397\pi\) | |||||||
\(234\) | 26.2703 | + | 18.3571i | 1.71734 | + | 1.20004i | ||||
\(235\) | 0.404289 | − | 0.933961i | 0.0263729 | − | 0.0609249i | ||||
\(236\) | −11.9486 | + | 4.76900i | −0.777788 | + | 0.310436i | ||||
\(237\) | 15.2564 | − | 13.5159i | 0.991006 | − | 0.877955i | ||||
\(238\) | 14.3137 | − | 3.00805i | 0.927818 | − | 0.194983i | ||||
\(239\) | 6.71372 | − | 14.1489i | 0.434275 | − | 0.915215i | −0.561848 | − | 0.827240i | \(-0.689909\pi\) |
0.996123 | − | 0.0879742i | \(-0.0280393\pi\) | |||||||
\(240\) | 26.6415 | + | 25.2964i | 1.71970 | + | 1.63288i | ||||
\(241\) | −0.595529 | + | 0.821662i | −0.0383614 | + | 0.0529279i | −0.828441 | − | 0.560076i | \(-0.810772\pi\) |
0.790080 | + | 0.613004i | \(0.210039\pi\) | |||||||
\(242\) | 2.43017 | − | 46.8866i | 0.156217 | − | 3.01398i | ||||
\(243\) | 19.3426 | − | 9.31491i | 1.24083 | − | 0.597552i | ||||
\(244\) | −2.52215 | + | 1.10905i | −0.161464 | + | 0.0709996i | ||||
\(245\) | 4.24929 | + | 14.6702i | 0.271477 | + | 0.937247i | ||||
\(246\) | −22.1193 | + | 6.54512i | −1.41028 | + | 0.417301i | ||||
\(247\) | −3.85612 | + | 1.38679i | −0.245359 | + | 0.0882391i | ||||
\(248\) | 8.41688 | + | 3.35940i | 0.534472 | + | 0.213322i | ||||
\(249\) | 11.5254 | − | 11.4593i | 0.730394 | − | 0.726204i | ||||
\(250\) | 9.57101 | − | 0.883618i | 0.605324 | − | 0.0558849i | ||||
\(251\) | −2.63019 | + | 1.97646i | −0.166016 | + | 0.124753i | −0.680503 | − | 0.732745i | \(-0.738239\pi\) |
0.514487 | + | 0.857498i | \(0.327982\pi\) | |||||||
\(252\) | −0.575644 | + | 6.65312i | −0.0362622 | + | 0.419107i | ||||
\(253\) | 12.3777 | + | 20.8801i | 0.778177 | + | 1.31272i | ||||
\(254\) | 6.11251 | − | 16.1174i | 0.383533 | − | 1.01129i | ||||
\(255\) | −36.1171 | + | 29.8367i | −2.26174 | + | 1.86844i | ||||
\(256\) | 20.8408 | + | 1.92407i | 1.30255 | + | 0.120254i | ||||
\(257\) | 24.9653 | − | 15.3878i | 1.55729 | − | 0.959864i | 0.566560 | − | 0.824021i | \(-0.308274\pi\) |
0.990730 | − | 0.135843i | \(-0.0433742\pi\) | |||||||
\(258\) | −0.761752 | − | 0.264091i | −0.0474246 | − | 0.0164416i | ||||
\(259\) | 4.37452 | + | 2.42593i | 0.271820 | + | 0.150740i | ||||
\(260\) | −10.4569 | + | 13.4267i | −0.648512 | + | 0.832688i | ||||
\(261\) | 5.22776 | + | 7.57372i | 0.323590 | + | 0.468801i | ||||
\(262\) | 34.7072 | + | 7.71187i | 2.14422 | + | 0.476441i | ||||
\(263\) | −24.4881 | + | 4.26950i | −1.51000 | + | 0.263268i | −0.865333 | − | 0.501197i | \(-0.832893\pi\) |
−0.644665 | + | 0.764465i | \(0.723003\pi\) | |||||||
\(264\) | 17.0947 | − | 9.48003i | 1.05211 | − | 0.583456i | ||||
\(265\) | −1.66666 | + | 10.6417i | −0.102382 | + | 0.653715i | ||||
\(266\) | −1.63420 | − | 1.38197i | −0.100199 | − | 0.0847343i | ||||
\(267\) | −12.6459 | − | 1.75749i | −0.773918 | − | 0.107556i | ||||
\(268\) | −8.73192 | − | 8.88396i | −0.533387 | − | 0.542674i | ||||
\(269\) | −26.3571 | − | 12.3213i | −1.60702 | − | 0.751242i | −0.607933 | − | 0.793988i | \(-0.708001\pi\) |
−0.999086 | + | 0.0427460i | \(0.986389\pi\) | |||||||
\(270\) | −4.84043 | − | 11.5447i | −0.294579 | − | 0.702586i | ||||
\(271\) | −12.7326 | + | 24.6029i | −0.773448 | + | 1.49452i | 0.0932277 | + | 0.995645i | \(0.470282\pi\) |
−0.866676 | + | 0.498872i | \(0.833748\pi\) | |||||||
\(272\) | −6.44958 | + | 29.8360i | −0.391063 | + | 1.80908i | ||||
\(273\) | 15.1676 | − | 0.174551i | 0.917986 | − | 0.0105643i | ||||
\(274\) | −8.07641 | + | 0.0929448i | −0.487914 | + | 0.00561500i | ||||
\(275\) | −4.04027 | + | 18.6905i | −0.243637 | + | 1.12708i | ||||
\(276\) | 6.42559 | − | 12.4160i | 0.386775 | − | 0.747357i | ||||
\(277\) | −0.152802 | − | 0.364441i | −0.00918099 | − | 0.0218971i | 0.917564 | − | 0.397588i | \(-0.130153\pi\) |
−0.926745 | + | 0.375691i | \(0.877405\pi\) | |||||||
\(278\) | 2.67171 | + | 1.24896i | 0.160238 | + | 0.0749075i | ||||
\(279\) | −20.2718 | − | 20.6248i | −1.21364 | − | 1.23477i | ||||
\(280\) | 4.45843 | + | 0.619617i | 0.266442 | + | 0.0370292i | ||||
\(281\) | 5.95139 | + | 5.03283i | 0.355030 | + | 0.300234i | 0.805544 | − | 0.592535i | \(-0.201873\pi\) |
−0.450514 | + | 0.892769i | \(0.648759\pi\) | |||||||
\(282\) | −0.264495 | + | 1.68882i | −0.0157505 | + | 0.100568i | ||||
\(283\) | 24.1825 | − | 13.4107i | 1.43750 | − | 0.797181i | 0.442475 | − | 0.896781i | \(-0.354100\pi\) |
0.995028 | + | 0.0995993i | \(0.0317561\pi\) | |||||||
\(284\) | 19.6356 | − | 3.42348i | 1.16516 | − | 0.203146i | ||||
\(285\) | 6.69174 | + | 1.48689i | 0.396385 | + | 0.0880758i | ||||
\(286\) | 28.1935 | + | 40.8453i | 1.66712 | + | 2.41523i | ||||
\(287\) | −3.79760 | + | 4.87611i | −0.224165 | + | 0.287828i | ||||
\(288\) | −22.1527 | − | 12.2850i | −1.30536 | − | 0.723902i | ||||
\(289\) | −20.7153 | − | 7.18175i | −1.21854 | − | 0.422456i | ||||
\(290\) | −10.4270 | + | 6.42684i | −0.612292 | + | 0.377397i | ||||
\(291\) | 37.6564 | + | 3.47652i | 2.20745 | + | 0.203797i | ||||
\(292\) | 11.1774 | − | 9.23379i | 0.654110 | − | 0.540367i | ||||
\(293\) | 9.27104 | − | 24.4457i | 0.541620 | − | 1.42814i | −0.332815 | − | 0.942992i | \(-0.607998\pi\) |
0.874435 | − | 0.485143i | \(-0.161232\pi\) | |||||||
\(294\) | −13.0817 | − | 22.0678i | −0.762943 | − | 1.28702i | ||||
\(295\) | 2.38536 | − | 27.5693i | 0.138881 | − | 1.60515i | ||||
\(296\) | −3.81648 | + | 2.86790i | −0.221828 | + | 0.166693i | ||||
\(297\) | −14.5038 | + | 1.33902i | −0.841594 | + | 0.0776979i | ||||
\(298\) | 2.46542 | − | 2.45128i | 0.142818 | − | 0.141999i | ||||
\(299\) | −16.6957 | − | 6.66368i | −0.965535 | − | 0.385370i | ||||
\(300\) | 10.3637 | − | 3.72710i | 0.598346 | − | 0.215184i | ||||
\(301\) | −0.207137 | + | 0.0612920i | −0.0119392 | + | 0.00353281i | ||||
\(302\) | 1.79289 | + | 6.18977i | 0.103169 | + | 0.356181i | ||||
\(303\) | −39.0251 | + | 17.1603i | −2.24193 | + | 0.985834i | ||||
\(304\) | 4.02427 | − | 1.93799i | 0.230808 | − | 0.111151i | ||||
\(305\) | 0.306755 | − | 5.91838i | 0.0175647 | − | 0.338885i | ||||
\(306\) | 26.1411 | − | 36.0673i | 1.49439 | − | 2.06183i | ||||
\(307\) | −13.1770 | − | 12.5117i | −0.752052 | − | 0.714082i | 0.212736 | − | 0.977110i | \(-0.431762\pi\) |
−0.964788 | + | 0.263028i | \(0.915279\pi\) | |||||||
\(308\) | −4.43336 | + | 9.34310i | −0.252614 | + | 0.532373i | ||||
\(309\) | 19.6504 | − | 4.12957i | 1.11787 | − | 0.234923i | ||||
\(310\) | 28.8105 | − | 25.5239i | 1.63633 | − | 1.44966i | ||||
\(311\) | −12.7947 | + | 5.10669i | −0.725519 | + | 0.289574i | −0.704005 | − | 0.710195i | \(-0.748607\pi\) |
−0.0215139 | + | 0.999769i | \(0.506849\pi\) | |||||||
\(312\) | −5.75085 | + | 13.2852i | −0.325578 | + | 0.752128i | ||||
\(313\) | 19.1644 | + | 13.3917i | 1.08324 | + | 0.756943i | 0.971558 | − | 0.236802i | \(-0.0760992\pi\) |
0.111678 | + | 0.993744i | \(0.464378\pi\) | |||||||
\(314\) | 4.84073 | + | 5.92881i | 0.273178 | + | 0.334582i | ||||
\(315\) | −12.2278 | − | 7.53685i | −0.688961 | − | 0.424653i | ||||
\(316\) | −8.22729 | − | 6.18241i | −0.462821 | − | 0.347788i | ||||
\(317\) | 12.5152 | − | 13.9640i | 0.702924 | − | 0.784299i | −0.281603 | − | 0.959531i | \(-0.590866\pi\) |
0.984527 | + | 0.175232i | \(0.0560676\pi\) | |||||||
\(318\) | −1.76688 | − | 18.0058i | −0.0990819 | − | 1.00972i | ||||
\(319\) | 3.49016 | + | 13.8175i | 0.195411 | + | 0.773631i | ||||
\(320\) | 3.05630 | − | 4.89528i | 0.170852 | − | 0.273654i | ||||
\(321\) | −0.136049 | − | 7.88086i | −0.00759351 | − | 0.439867i | ||||
\(322\) | −1.34584 | − | 9.29150i | −0.0750007 | − | 0.517795i | ||||
\(323\) | 1.83470 | + | 5.39210i | 0.102085 | + | 0.300025i | ||||
\(324\) | −4.35824 | − | 5.73081i | −0.242125 | − | 0.318378i | ||||
\(325\) | −6.07098 | − | 12.7943i | −0.336757 | − | 0.709701i | ||||
\(326\) | −3.72191 | + | 11.3658i | −0.206137 | + | 0.629492i | ||||
\(327\) | −29.2873 | + | 7.57721i | −1.61959 | + | 0.419020i | ||||
\(328\) | −2.77117 | − | 5.20699i | −0.153012 | − | 0.287508i | ||||
\(329\) | 0.205813 | + | 0.409156i | 0.0113469 | + | 0.0225575i | ||||
\(330\) | −3.34295 | − | 82.9546i | −0.184024 | − | 4.56650i | ||||
\(331\) | −22.5847 | + | 26.3972i | −1.24137 | + | 1.45092i | −0.394691 | + | 0.918814i | \(0.629148\pi\) |
−0.846678 | + | 0.532105i | \(0.821401\pi\) | |||||||
\(332\) | −6.83304 | − | 4.54440i | −0.375012 | − | 0.249406i | ||||
\(333\) | 14.8323 | − | 3.47529i | 0.812807 | − | 0.190445i | ||||
\(334\) | 0.169583 | − | 5.89298i | 0.00927916 | − | 0.322450i | ||||
\(335\) | 25.5109 | − | 8.19174i | 1.39381 | − | 0.447563i | ||||
\(336\) | −16.4240 | + | 1.89841i | −0.896003 | + | 0.103567i | ||||
\(337\) | 1.95974 | − | 5.54934i | 0.106754 | − | 0.302292i | −0.877360 | − | 0.479833i | \(-0.840697\pi\) |
0.984113 | + | 0.177542i | \(0.0568144\pi\) | |||||||
\(338\) | −12.4171 | − | 3.98721i | −0.675400 | − | 0.216876i | ||||
\(339\) | 33.2654 | + | 6.59203i | 1.80673 | + | 0.358030i | ||||
\(340\) | 18.4081 | + | 14.8541i | 0.998321 | + | 0.805575i | ||||
\(341\) | −18.2627 | − | 40.8919i | −0.988979 | − | 2.21442i | ||||
\(342\) | −6.51409 | + | 0.224975i | −0.352242 | + | 0.0121653i | ||||
\(343\) | −14.5271 | − | 6.38792i | −0.784390 | − | 0.344915i | ||||
\(344\) | 0.0272031 | − | 0.204356i | 0.00146670 | − | 0.0110182i | ||||
\(345\) | 17.6471 | + | 24.3480i | 0.950088 | + | 1.31085i | ||||
\(346\) | −26.6568 | + | 17.2893i | −1.43308 | + | 0.929479i | ||||
\(347\) | −8.31598 | − | 13.3197i | −0.446425 | − | 0.715040i | 0.546014 | − | 0.837776i | \(-0.316145\pi\) |
−0.992439 | + | 0.122736i | \(0.960833\pi\) | |||||||
\(348\) | 5.68601 | − | 5.91976i | 0.304802 | − | 0.317332i | ||||
\(349\) | 5.00008 | + | 15.8848i | 0.267648 | + | 0.850292i | 0.987698 | + | 0.156371i | \(0.0499794\pi\) |
−0.720050 | + | 0.693922i | \(0.755881\pi\) | |||||||
\(350\) | 4.20149 | − | 6.08691i | 0.224579 | − | 0.325359i | ||||
\(351\) | 7.90741 | − | 7.33701i | 0.422066 | − | 0.391620i | ||||
\(352\) | −25.5023 | − | 29.8072i | −1.35928 | − | 1.58873i | ||||
\(353\) | 3.87637 | + | 31.9248i | 0.206318 | + | 1.69918i | 0.616642 | + | 0.787243i | \(0.288492\pi\) |
−0.410324 | + | 0.911940i | \(0.634584\pi\) | |||||||
\(354\) | 7.71978 | + | 45.8345i | 0.410301 | + | 2.43608i | ||||
\(355\) | −12.4009 | + | 41.0397i | −0.658173 | + | 2.17816i | ||||
\(356\) | 0.407738 | + | 6.43355i | 0.0216101 | + | 0.340977i | ||||
\(357\) | 0.121307 | − | 21.0825i | 0.00642023 | − | 1.11581i | ||||
\(358\) | −23.7883 | − | 7.03897i | −1.25725 | − | 0.372021i | ||||
\(359\) | 1.47004 | − | 0.0846770i | 0.0775856 | − | 0.00446908i | −0.0186703 | − | 0.999826i | \(-0.505943\pi\) |
0.0962560 | + | 0.995357i | \(0.469313\pi\) | |||||||
\(360\) | 11.3266 | − | 7.72233i | 0.596963 | − | 0.407003i | ||||
\(361\) | −9.97299 | + | 15.1843i | −0.524894 | + | 0.799175i | ||||
\(362\) | 9.12581 | + | 47.4828i | 0.479642 | + | 2.49564i | ||||
\(363\) | −65.3179 | − | 17.7035i | −3.42830 | − | 0.929190i | ||||
\(364\) | −1.61821 | − | 7.48593i | −0.0848175 | − | 0.392369i | ||||
\(365\) | 6.93929 | + | 30.4030i | 0.363219 | + | 1.59137i | ||||
\(366\) | 1.99110 | + | 9.75304i | 0.104076 | + | 0.509800i | ||||
\(367\) | −8.18160 | + | 5.71713i | −0.427076 | + | 0.298432i | −0.766551 | − | 0.642183i | \(-0.778029\pi\) |
0.339475 | + | 0.940615i | \(0.389750\pi\) | |||||||
\(368\) | 18.8512 | + | 5.34294i | 0.982686 | + | 0.278520i | ||||
\(369\) | 1.40661 | + | 18.7700i | 0.0732254 | + | 0.977125i | ||||
\(370\) | 3.59744 | + | 19.9542i | 0.187022 | + | 1.03737i | ||||
\(371\) | −3.19356 | − | 3.64685i | −0.165802 | − | 0.189335i | ||||
\(372\) | −14.4074 | + | 21.3952i | −0.746988 | + | 1.10929i | ||||
\(373\) | −14.2641 | + | 15.1967i | −0.738565 | + | 0.786855i | −0.983155 | − | 0.182772i | \(-0.941493\pi\) |
0.244590 | + | 0.969626i | \(0.421347\pi\) | |||||||
\(374\) | 57.4389 | − | 38.2004i | 2.97010 | − | 1.97530i | ||||
\(375\) | 1.66999 | − | 13.7536i | 0.0862380 | − | 0.710234i | ||||
\(376\) | −0.436644 | + | 0.0201132i | −0.0225182 | + | 0.00103726i | ||||
\(377\) | −8.28952 | − | 6.53300i | −0.426932 | − | 0.336467i | ||||
\(378\) | 5.38339 | + | 1.66056i | 0.276892 | + | 0.0854098i | ||||
\(379\) | −36.5918 | + | 4.65685i | −1.87960 | + | 0.239207i | −0.980212 | − | 0.197951i | \(-0.936571\pi\) |
−0.899385 | + | 0.437158i | \(0.855985\pi\) | |||||||
\(380\) | 0.0597417 | − | 3.46064i | 0.00306468 | − | 0.177527i | ||||
\(381\) | −20.8460 | − | 13.5205i | −1.06797 | − | 0.692676i | ||||
\(382\) | 1.37109 | + | 26.4532i | 0.0701512 | + | 1.35346i | ||||
\(383\) | 11.0333 | + | 20.1684i | 0.563777 | + | 1.03056i | 0.991922 | + | 0.126847i | \(0.0404858\pi\) |
−0.428145 | + | 0.903710i | \(0.640833\pi\) | |||||||
\(384\) | 7.30875 | − | 23.2192i | 0.372973 | − | 1.18490i | ||||
\(385\) | −13.6680 | − | 17.5497i | −0.696585 | − | 0.894414i | ||||
\(386\) | 0.155814 | + | 0.994882i | 0.00793072 | + | 0.0506382i | ||||
\(387\) | −0.341961 | + | 0.562013i | −0.0173828 | + | 0.0285688i | ||||
\(388\) | −2.08326 | − | 18.9801i | −0.105761 | − | 0.963566i | ||||
\(389\) | −5.98300 | − | 4.38912i | −0.303350 | − | 0.222537i | 0.429268 | − | 0.903177i | \(-0.358772\pi\) |
−0.732618 | + | 0.680640i | \(0.761702\pi\) | |||||||
\(390\) | 39.4313 | + | 47.1759i | 1.99668 | + | 2.38884i | ||||
\(391\) | −9.66101 | + | 23.0420i | −0.488578 | + | 1.16528i | ||||
\(392\) | 4.85975 | − | 4.40621i | 0.245455 | − | 0.222547i | ||||
\(393\) | 21.4355 | − | 46.5500i | 1.08128 | − | 2.34814i | ||||
\(394\) | 22.4833 | − | 31.7840i | 1.13269 | − | 1.60125i | ||||
\(395\) | 19.8320 | − | 9.83332i | 0.997857 | − | 0.494768i | ||||
\(396\) | 9.11006 | + | 30.1489i | 0.457798 | + | 1.51504i | ||||
\(397\) | 6.82619 | − | 2.54400i | 0.342596 | − | 0.127680i | −0.172036 | − | 0.985091i | \(-0.555035\pi\) |
0.514633 | + | 0.857411i | \(0.327928\pi\) | |||||||
\(398\) | −26.9248 | + | 27.3937i | −1.34962 | + | 1.37312i | ||||
\(399\) | −2.44476 | + | 1.88152i | −0.122391 | + | 0.0941939i | ||||
\(400\) | 8.02347 | + | 13.1866i | 0.401173 | + | 0.659330i | ||||
\(401\) | −18.7213 | + | 15.8318i | −0.934897 | + | 0.790603i | −0.978029 | − | 0.208467i | \(-0.933153\pi\) |
0.0431324 | + | 0.999069i | \(0.486266\pi\) | |||||||
\(402\) | −38.0374 | + | 24.0534i | −1.89713 | + | 1.19968i | ||||
\(403\) | 29.1886 | + | 15.7504i | 1.45399 | + | 0.784583i | ||||
\(404\) | 12.4307 | + | 17.5730i | 0.618452 | + | 0.874288i | ||||
\(405\) | 15.2245 | − | 2.83530i | 0.756514 | − | 0.140887i | ||||
\(406\) | 0.790181 | − | 5.45531i | 0.0392160 | − | 0.270742i | ||||
\(407\) | 23.4028 | + | 2.97835i | 1.16003 | + | 0.147632i | ||||
\(408\) | 18.3244 | + | 8.31064i | 0.907195 | + | 0.411438i | ||||
\(409\) | −16.5040 | + | 32.8099i | −0.816072 | + | 1.62235i | −0.0337838 | + | 0.999429i | \(0.510756\pi\) |
−0.782288 | + | 0.622917i | \(0.785948\pi\) | |||||||
\(410\) | −25.0455 | + | 0.576532i | −1.23691 | + | 0.0284729i | ||||
\(411\) | −2.32877 | + | 11.4071i | −0.114870 | + | 0.562670i | ||||
\(412\) | −4.02754 | − | 9.30415i | −0.198423 | − | 0.458383i | ||||
\(413\) | 8.83124 | + | 8.78057i | 0.434557 | + | 0.432064i | ||||
\(414\) | −22.0435 | − | 18.2103i | −1.08338 | − | 0.894989i | ||||
\(415\) | 15.3369 | − | 8.73747i | 0.752857 | − | 0.428906i | ||||
\(416\) | 28.4307 | + | 5.97477i | 1.39393 | + | 0.292937i | ||||
\(417\) | 2.57333 | − | 3.38376i | 0.126016 | − | 0.165704i | ||||
\(418\) | −9.57433 | − | 3.19638i | −0.468296 | − | 0.156340i | ||||
\(419\) | 8.36842 | + | 0.675569i | 0.408824 | + | 0.0330037i | 0.283168 | − | 0.959070i | \(-0.408614\pi\) |
0.125656 | + | 0.992074i | \(0.459897\pi\) | |||||||
\(420\) | −4.40492 | + | 12.0306i | −0.214938 | + | 0.587031i | ||||
\(421\) | 0.186790 | − | 2.49254i | 0.00910358 | − | 0.121479i | −0.990800 | − | 0.135331i | \(-0.956790\pi\) |
0.999904 | + | 0.0138519i | \(0.00440935\pi\) | |||||||
\(422\) | −30.1292 | + | 3.13166i | −1.46667 | + | 0.152447i | ||||
\(423\) | 1.30134 | + | 0.502116i | 0.0632732 | + | 0.0244137i | ||||
\(424\) | 4.42080 | − | 1.36364i | 0.214693 | − | 0.0662240i | ||||
\(425\) | −17.9258 | + | 8.12986i | −0.869531 | + | 0.394356i | ||||
\(426\) | 2.89959 | − | 71.9526i | 0.140486 | − | 3.48611i | ||||
\(427\) | 1.95508 | + | 1.81405i | 0.0946132 | + | 0.0877882i | ||||
\(428\) | −3.88500 | + | 0.863237i | −0.187788 | + | 0.0417261i | ||||
\(429\) | 66.1331 | − | 27.2818i | 3.19294 | − | 1.31718i | ||||
\(430\) | −0.723456 | − | 0.493244i | −0.0348881 | − | 0.0237863i | ||||
\(431\) | 18.4198 | + | 11.0629i | 0.887251 | + | 0.532882i | 0.884198 | − | 0.467113i | \(-0.154706\pi\) |
0.00305298 | + | 0.999995i | \(0.499028\pi\) | |||||||
\(432\) | −7.74589 | + | 8.84532i | −0.372674 | + | 0.425571i | ||||
\(433\) | 2.76446 | + | 10.4371i | 0.132851 | + | 0.501576i | 0.999994 | + | 0.00351543i | \(0.00111900\pi\) |
−0.867142 | + | 0.498060i | \(0.834046\pi\) | |||||||
\(434\) | 0.498272 | + | 17.3149i | 0.0239178 | + | 0.831140i | ||||
\(435\) | 5.87912 | + | 16.6478i | 0.281882 | + | 0.798199i | ||||
\(436\) | 6.70640 | + | 13.7234i | 0.321178 | + | 0.657233i | ||||
\(437\) | 3.52868 | − | 0.956396i | 0.168800 | − | 0.0457506i | ||||
\(438\) | −24.0749 | − | 46.5195i | −1.15034 | − | 2.22279i | ||||
\(439\) | 12.3496 | − | 14.7752i | 0.589416 | − | 0.705181i | −0.386755 | − | 0.922182i | \(-0.626404\pi\) |
0.976171 | + | 0.217001i | \(0.0696276\pi\) | |||||||
\(440\) | 20.6124 | − | 5.08050i | 0.982657 | − | 0.242203i | ||||
\(441\) | −19.8559 | + | 6.62886i | −0.945517 | + | 0.315660i | ||||
\(442\) | −16.4562 | + | 48.3640i | −0.782741 | + | 2.30044i | ||||
\(443\) | 11.4092 | + | 2.12476i | 0.542068 | + | 0.100950i | 0.447023 | − | 0.894523i | \(-0.352484\pi\) |
0.0950453 | + | 0.995473i | \(0.469700\pi\) | |||||||
\(444\) | −5.68328 | − | 12.3420i | −0.269716 | − | 0.585725i | ||||
\(445\) | −12.7564 | − | 5.43501i | −0.604713 | − | 0.257644i | ||||
\(446\) | 31.0378 | + | 41.8025i | 1.46968 | + | 1.97941i | ||||
\(447\) | −2.70272 | − | 4.22006i | −0.127834 | − | 0.199602i | ||||
\(448\) | 0.808248 | + | 2.46819i | 0.0381861 | + | 0.116611i | ||||
\(449\) | −16.1228 | + | 15.3088i | −0.760884 | + | 0.722468i | −0.966641 | − | 0.256135i | \(-0.917551\pi\) |
0.205757 | + | 0.978603i | \(0.434034\pi\) | |||||||
\(450\) | −2.97221 | − | 22.3279i | −0.140111 | − | 1.05255i | ||||
\(451\) | −8.10972 | + | 27.9980i | −0.381872 | + | 1.31837i | ||||
\(452\) | −0.0985209 | − | 17.1225i | −0.00463403 | − | 0.805373i | ||||
\(453\) | 9.26674 | − | 0.640850i | 0.435389 | − | 0.0301098i | ||||
\(454\) | −13.0494 | + | 20.3755i | −0.612439 | + | 0.956269i | ||||
\(455\) | 15.9486 | + | 4.12623i | 0.747683 | + | 0.193441i | ||||
\(456\) | −0.688134 | − | 2.86266i | −0.0322248 | − | 0.134056i | ||||
\(457\) | 17.1927 | − | 12.3107i | 0.804240 | − | 0.575873i | −0.103877 | − | 0.994590i | \(-0.533125\pi\) |
0.908116 | + | 0.418718i | \(0.137520\pi\) | |||||||
\(458\) | 0.853467 | + | 9.86411i | 0.0398799 | + | 0.460920i | ||||
\(459\) | −10.0065 | − | 11.1649i | −0.467063 | − | 0.521133i | ||||
\(460\) | 10.2629 | − | 11.1892i | 0.478511 | − | 0.521700i | ||||
\(461\) | 0.548462 | − | 4.99690i | 0.0255444 | − | 0.232729i | −0.974423 | − | 0.224720i | \(-0.927853\pi\) |
0.999968 | − | 0.00800946i | \(-0.00254952\pi\) | |||||||
\(462\) | 29.6091 | + | 22.7876i | 1.37754 | + | 1.06017i | ||||
\(463\) | −1.39005 | + | 0.193184i | −0.0646009 | + | 0.00897801i | −0.169881 | − | 0.985465i | \(-0.554338\pi\) |
0.105280 | + | 0.994443i | \(0.466426\pi\) | |||||||
\(464\) | 9.72310 | + | 6.14852i | 0.451384 | + | 0.285438i | ||||
\(465\) | −27.1860 | − | 48.3644i | −1.26072 | − | 2.24284i | ||||
\(466\) | 10.3499 | + | 12.9784i | 0.479452 | + | 0.601213i | ||||
\(467\) | 3.38317 | − | 5.70713i | 0.156555 | − | 0.264095i | −0.771742 | − | 0.635936i | \(-0.780614\pi\) |
0.928296 | + | 0.371841i | \(0.121274\pi\) | |||||||
\(468\) | −18.9645 | − | 13.5794i | −0.876633 | − | 0.627709i | ||||
\(469\) | −4.53421 | + | 11.1732i | −0.209371 | + | 0.515930i | ||||
\(470\) | −0.757052 | + | 1.69511i | −0.0349202 | + | 0.0781898i | ||||
\(471\) | 9.82732 | − | 5.01440i | 0.452819 | − | 0.231051i | ||||
\(472\) | −11.0885 | + | 4.27845i | −0.510389 | + | 0.196932i | ||||
\(473\) | −0.800162 | + | 0.630610i | −0.0367915 | + | 0.0289955i | ||||
\(474\) | −28.1122 | + | 24.3336i | −1.29124 | + | 1.11768i | ||||
\(475\) | 2.55025 | + | 1.33848i | 0.117014 | + | 0.0614135i | ||||
\(476\) | −10.4420 | + | 2.06923i | −0.478607 | + | 0.0948431i | ||||
\(477\) | −14.6654 | − | 1.69514i | −0.671483 | − | 0.0776150i | ||||
\(478\) | −12.5432 | + | 25.6675i | −0.573715 | + | 1.17400i | ||||
\(479\) | −3.76768 | + | 19.6038i | −0.172150 | + | 0.895719i | 0.787882 | + | 0.615827i | \(0.211178\pi\) |
−0.960031 | + | 0.279892i | \(0.909701\pi\) | |||||||
\(480\) | −34.8543 | − | 33.8657i | −1.59087 | − | 1.54575i | ||||
\(481\) | −15.0803 | + | 8.82272i | −0.687604 | + | 0.402281i | ||||
\(482\) | 1.10353 | − | 1.48626i | 0.0502643 | − | 0.0676972i | ||||
\(483\) | −13.5006 | − | 0.933646i | −0.614298 | − | 0.0424824i | ||||
\(484\) | −2.16124 | + | 34.1014i | −0.0982380 | + | 1.55006i | ||||
\(485\) | 38.4846 | + | 14.3425i | 1.74749 | + | 0.651261i | ||||
\(486\) | −35.4776 | + | 16.5849i | −1.60930 | + | 0.752307i | ||||
\(487\) | −22.8143 | − | 20.6851i | −1.03381 | − | 0.937332i | −0.0357388 | − | 0.999361i | \(-0.511378\pi\) |
−0.998074 | + | 0.0620289i | \(0.980243\pi\) | |||||||
\(488\) | −2.34168 | + | 0.997696i | −0.106003 | + | 0.0451636i | ||||
\(489\) | 14.8796 | + | 8.70528i | 0.672879 | + | 0.393666i | ||||
\(490\) | −7.44300 | − | 26.8486i | −0.336241 | − | 1.21290i | ||||
\(491\) | 3.54387 | + | 9.67890i | 0.159933 | + | 0.436803i | 0.993250 | − | 0.115992i | \(-0.0370047\pi\) |
−0.833318 | + | 0.552795i | \(0.813561\pi\) | |||||||
\(492\) | 16.1521 | − | 4.57796i | 0.728195 | − | 0.206390i | ||||
\(493\) | −9.27774 | + | 11.3632i | −0.417849 | + | 0.511772i | ||||
\(494\) | 7.06291 | − | 2.44863i | 0.317775 | − | 0.110169i | ||||
\(495\) | −66.7378 | − | 11.6357i | −2.99964 | − | 0.522988i | ||||
\(496\) | −33.4191 | − | 13.7864i | −1.50056 | − | 0.619026i | ||||
\(497\) | −10.5919 | − | 16.1267i | −0.475113 | − | 0.723381i | ||||
\(498\) | −21.2636 | + | 20.6605i | −0.952845 | + | 0.925820i | ||||
\(499\) | 3.47814 | − | 12.5464i | 0.155703 | − | 0.561656i | −0.843977 | − | 0.536379i | \(-0.819792\pi\) |
0.999680 | − | 0.0252775i | \(-0.00804694\pi\) | |||||||
\(500\) | −6.97270 | + | 0.562895i | −0.311829 | + | 0.0251734i | ||||
\(501\) | −8.25092 | − | 2.03367i | −0.368624 | − | 0.0908576i | ||||
\(502\) | 4.83911 | − | 3.54996i | 0.215980 | − | 0.158443i | ||||
\(503\) | −9.19711 | − | 10.0272i | −0.410079 | − | 0.447092i | 0.497191 | − | 0.867641i | \(-0.334365\pi\) |
−0.907270 | + | 0.420549i | \(0.861837\pi\) | |||||||
\(504\) | −0.602493 | + | 6.13985i | −0.0268372 | + | 0.273491i | ||||
\(505\) | −45.7824 | + | 6.90058i | −2.03729 | + | 0.307072i | ||||
\(506\) | −22.1393 | − | 38.3464i | −0.984212 | − | 1.70471i | ||||
\(507\) | −9.39924 | + | 16.2800i | −0.417435 | + | 0.723019i | ||||
\(508\) | −4.58336 | + | 11.6782i | −0.203354 | + | 0.518137i | ||||
\(509\) | 3.03895 | − | 1.59496i | 0.134699 | − | 0.0706954i | −0.396027 | − | 0.918239i | \(-0.629612\pi\) |
0.530726 | + | 0.847543i | \(0.321919\pi\) | |||||||
\(510\) | 66.5060 | − | 53.6657i | 2.94494 | − | 2.37636i | ||||
\(511\) | −12.5010 | − | 6.37862i | −0.553009 | − | 0.282173i | ||||
\(512\) | −19.5584 | − | 2.03291i | −0.864366 | − | 0.0898429i | ||||
\(513\) | −0.389239 | + | 2.15902i | −0.0171853 | + | 0.0953232i | ||||
\(514\) | −45.8611 | + | 27.5442i | −2.02285 | + | 1.21492i | ||||
\(515\) | 21.7712 | + | 1.25406i | 0.959354 | + | 0.0552606i | ||||
\(516\) | 0.552153 | + | 0.198572i | 0.0243072 | + | 0.00874165i | ||||
\(517\) | 1.61684 | + | 1.43239i | 0.0711085 | + | 0.0629966i | ||||
\(518\) | −7.92847 | − | 4.51688i | −0.348357 | − | 0.198460i | ||||
\(519\) | 16.2403 | + | 42.8220i | 0.712868 | + | 1.87968i | ||||
\(520\) | −9.80258 | + | 12.2920i | −0.429871 | + | 0.539042i | ||||
\(521\) | −1.61050 | − | 0.261732i | −0.0705573 | − | 0.0114667i | 0.125030 | − | 0.992153i | \(-0.460097\pi\) |
−0.195587 | + | 0.980686i | \(0.562661\pi\) | |||||||
\(522\) | −9.37676 | − | 13.9247i | −0.410410 | − | 0.609466i | ||||
\(523\) | −3.02724 | + | 11.4292i | −0.132372 | + | 0.499765i | 0.867625 | + | 0.497219i | \(0.165646\pi\) |
−0.999997 | + | 0.00254576i | \(0.999190\pi\) | |||||||
\(524\) | −25.1936 | − | 5.90299i | −1.10059 | − | 0.257873i | ||||
\(525\) | −7.29620 | − | 7.77324i | −0.318432 | − | 0.339252i | ||||
\(526\) | 44.7573 | − | 7.27377i | 1.95151 | − | 0.317152i | ||||
\(527\) | 22.5885 | − | 40.1854i | 0.983970 | − | 1.75050i | ||||
\(528\) | −68.6227 | + | 37.0293i | −2.98642 | + | 1.61149i | ||||
\(529\) | −6.23755 | − | 3.09277i | −0.271198 | − | 0.134468i | ||||
\(530\) | 3.26347 | − | 19.3761i | 0.141756 | − | 0.841645i | ||||
\(531\) | 37.8868 | + | 1.74519i | 1.64415 | + | 0.0757347i | ||||
\(532\) | 1.17772 | + | 1.01942i | 0.0510605 | + | 0.0441974i | ||||
\(533\) | −7.88670 | − | 20.0950i | −0.341611 | − | 0.870411i | ||||
\(534\) | 23.0300 | + | 3.47122i | 0.996606 | + | 0.150214i | ||||
\(535\) | 2.09638 | − | 8.29955i | 0.0906346 | − | 0.358821i | ||||
\(536\) | −7.97186 | − | 8.29959i | −0.344332 | − | 0.358488i | ||||
\(537\) | −17.1620 | + | 31.3713i | −0.740595 | + | 1.35377i | ||||
\(538\) | 47.8182 | + | 23.0280i | 2.06159 | + | 0.992810i | ||||
\(539\) | −32.3980 | − | 1.11892i | −1.39548 | − | 0.0481953i | ||||
\(540\) | 3.42593 | + | 8.44217i | 0.147429 | + | 0.363293i | ||||
\(541\) | 7.68602 | − | 31.9741i | 0.330448 | − | 1.37467i | −0.522484 | − | 0.852649i | \(-0.674994\pi\) |
0.852932 | − | 0.522023i | \(-0.174822\pi\) | |||||||
\(542\) | 23.7414 | − | 44.6098i | 1.01978 | − | 1.91616i | ||||
\(543\) | 69.6775 | + | 1.60393i | 2.99015 | + | 0.0688313i | ||||
\(544\) | 8.98518 | − | 39.3666i | 0.385236 | − | 1.68783i | ||||
\(545\) | −32.8523 | − | 0.378071i | −1.40724 | − | 0.0161948i | ||||
\(546\) | −27.6703 | −1.18418 | ||||||||
\(547\) | −20.5912 | − | 11.0907i | −0.880416 | − | 0.474203i | ||||
\(548\) | 5.87839 | 0.251112 | ||||||||
\(549\) | 8.12194 | + | 0.0934687i | 0.346636 | + | 0.00398915i | ||||
\(550\) | 7.76204 | − | 34.0077i | 0.330974 | − | 1.45009i | ||||
\(551\) | 2.14597 | + | 0.0493989i | 0.0914214 | + | 0.00210447i | ||||
\(552\) | 6.06778 | − | 11.4013i | 0.258262 | − | 0.485271i | ||||
\(553\) | −2.32836 | + | 9.68604i | −0.0990119 | + | 0.411892i | ||||
\(554\) | 0.271070 | + | 0.667969i | 0.0115167 | + | 0.0283793i | ||||
\(555\) | 29.2089 | + | 1.00878i | 1.23985 | + | 0.0428203i | ||||
\(556\) | −1.93387 | − | 0.931305i | −0.0820145 | − | 0.0394961i | ||||
\(557\) | 3.69944 | − | 6.76240i | 0.156750 | − | 0.286532i | −0.787151 | − | 0.616761i | \(-0.788445\pi\) |
0.943901 | + | 0.330229i | \(0.107126\pi\) | |||||||
\(558\) | 36.5441 | + | 38.0464i | 1.54703 | + | 1.61063i | ||||
\(559\) | 0.184776 | − | 0.731525i | 0.00781518 | − | 0.0309402i | ||||
\(560\) | −17.7554 | − | 2.67619i | −0.750301 | − | 0.113090i | ||||
\(561\) | −36.3269 | − | 92.5593i | −1.53372 | − | 3.90786i | ||||
\(562\) | −10.7500 | − | 9.30512i | −0.453463 | − | 0.392513i | ||||
\(563\) | 25.5404 | + | 1.17647i | 1.07640 | + | 0.0495825i | 0.576966 | − | 0.816768i | \(-0.304237\pi\) |
0.499436 | + | 0.866351i | \(0.333541\pi\) | |||||||
\(564\) | 0.206630 | − | 1.22682i | 0.00870070 | − | 0.0516585i | ||||
\(565\) | 32.9967 | + | 16.3608i | 1.38818 | + | 0.688304i | ||||
\(566\) | −44.3919 | + | 23.9542i | −1.86593 | + | 1.00687i | ||||
\(567\) | −3.41500 | + | 6.07535i | −0.143416 | + | 0.255141i | ||||
\(568\) | 18.1753 | − | 2.95377i | 0.762617 | − | 0.123937i | ||||
\(569\) | −23.7968 | − | 25.3527i | −0.997613 | − | 1.06284i | −0.998024 | − | 0.0628397i | \(-0.979984\pi\) |
0.000411062 | − | 1.00000i | \(-0.499869\pi\) | |||||||
\(570\) | −12.1749 | − | 2.85265i | −0.509952 | − | 0.119484i | ||||
\(571\) | 10.7608 | − | 40.6271i | 0.450326 | − | 1.70019i | −0.235036 | − | 0.971987i | \(-0.575521\pi\) |
0.685362 | − | 0.728203i | \(-0.259644\pi\) | |||||||
\(572\) | −20.1757 | − | 29.9613i | −0.843590 | − | 1.25275i | ||||
\(573\) | 37.6872 | + | 6.12477i | 1.57441 | + | 0.255866i | ||||
\(574\) | 7.02941 | − | 8.81460i | 0.293402 | − | 0.367914i | ||||
\(575\) | 4.48023 | + | 11.8134i | 0.186838 | + | 0.492653i | ||||
\(576\) | 6.87258 | + | 3.91533i | 0.286357 | + | 0.163139i | ||||
\(577\) | 22.2230 | + | 19.6878i | 0.925155 | + | 0.819616i | 0.983911 | − | 0.178657i | \(-0.0571751\pi\) |
−0.0587567 | + | 0.998272i | \(0.518714\pi\) | |||||||
\(578\) | 37.6351 | + | 13.5348i | 1.56541 | + | 0.562973i | ||||
\(579\) | 1.44913 | + | 0.0834729i | 0.0602240 | + | 0.00346902i | ||||
\(580\) | 7.64204 | − | 4.58981i | 0.317318 | − | 0.190581i | ||||
\(581\) | −1.40939 | + | 7.81759i | −0.0584714 | + | 0.324328i | ||||
\(582\) | −68.6145 | − | 7.13185i | −2.84416 | − | 0.295625i | ||||
\(583\) | −20.3644 | − | 10.3909i | −0.843407 | − | 0.430349i | ||||
\(584\) | 10.4236 | − | 8.41109i | 0.431330 | − | 0.348053i | ||||
\(585\) | 44.4240 | − | 23.3155i | 1.83670 | − | 0.963977i | ||||
\(586\) | −17.4241 | + | 44.3959i | −0.719783 | + | 1.83398i | ||||
\(587\) | −14.9018 | + | 25.8107i | −0.615063 | + | 1.06532i | 0.375311 | + | 0.926899i | \(0.377536\pi\) |
−0.990373 | + | 0.138421i | \(0.955797\pi\) | |||||||
\(588\) | 9.33542 | + | 16.1694i | 0.384986 | + | 0.666816i | ||||
\(589\) | −6.67009 | + | 1.00535i | −0.274836 | + | 0.0414249i | ||||
\(590\) | −4.92977 | + | 50.2380i | −0.202955 | + | 2.06827i | ||||
\(591\) | −37.9327 | − | 41.3565i | −1.56034 | − | 1.70118i | ||||
\(592\) | 15.3549 | − | 11.2643i | 0.631081 | − | 0.462960i | ||||
\(593\) | −29.9231 | − | 7.37538i | −1.22879 | − | 0.302871i | −0.429088 | − | 0.903263i | \(-0.641165\pi\) |
−0.799706 | + | 0.600392i | \(0.795011\pi\) | |||||||
\(594\) | 26.4839 | − | 2.13800i | 1.08665 | − | 0.0877231i | ||||
\(595\) | 6.11681 | − | 22.0647i | 0.250765 | − | 0.904566i | ||||
\(596\) | −1.81474 | + | 1.76327i | −0.0743347 | + | 0.0722263i | ||||
\(597\) | 30.3945 | + | 46.2771i | 1.24397 | + | 1.89399i | ||||
\(598\) | 30.3140 | + | 12.5054i | 1.23963 | + | 0.511384i | ||||
\(599\) | 11.8038 | + | 2.05799i | 0.482289 | + | 0.0840871i | 0.407678 | − | 0.913126i | \(-0.366338\pi\) |
0.0746108 | + | 0.997213i | \(0.476229\pi\) | |||||||
\(600\) | 9.61328 | − | 3.33282i | 0.392460 | − | 0.136062i | ||||
\(601\) | −1.72116 | + | 2.10804i | −0.0702076 | + | 0.0859888i | −0.808515 | − | 0.588476i | \(-0.799728\pi\) |
0.738307 | + | 0.674465i | \(0.235626\pi\) | |||||||
\(602\) | 0.379117 | − | 0.107452i | 0.0154517 | − | 0.00437942i | ||||
\(603\) | 12.6262 | + | 34.4842i | 0.514178 | + | 1.40431i | ||||
\(604\) | −1.25293 | − | 4.51962i | −0.0509812 | − | 0.183901i | ||||
\(605\) | −63.4381 | − | 37.1143i | −2.57913 | − | 1.50891i | ||||
\(606\) | 71.5444 | − | 30.4822i | 2.90629 | − | 1.23826i | ||||
\(607\) | −27.7653 | − | 25.1741i | −1.12696 | − | 1.02178i | −0.999552 | − | 0.0299324i | \(-0.990471\pi\) |
−0.127405 | − | 0.991851i | \(-0.540665\pi\) | |||||||
\(608\) | −5.35250 | + | 2.50216i | −0.217072 | + | 0.101476i | ||||
\(609\) | −7.44528 | − | 2.77473i | −0.301698 | − | 0.112438i | ||||
\(610\) | −0.683775 | + | 10.7890i | −0.0276852 | + | 0.436836i | ||||
\(611\) | −1.59591 | − | 0.110367i | −0.0645636 | − | 0.00446495i | ||||
\(612\) | −19.3262 | + | 26.0290i | −0.781216 | + | 1.05216i | ||||
\(613\) | 6.05372 | − | 3.54172i | 0.244508 | − | 0.143049i | −0.377630 | − | 0.925957i | \(-0.623261\pi\) |
0.622137 | + | 0.782908i | \(0.286264\pi\) | |||||||
\(614\) | 23.7730 | + | 23.0988i | 0.959401 | + | 0.932190i | ||||
\(615\) | −6.81549 | + | 35.4619i | −0.274827 | + | 1.42996i | ||||
\(616\) | −4.19474 | + | 8.58377i | −0.169011 | + | 0.345850i | ||||
\(617\) | −26.1538 | − | 3.02304i | −1.05291 | − | 0.121703i | −0.429083 | − | 0.903265i | \(-0.641163\pi\) |
−0.623828 | + | 0.781562i | \(0.714423\pi\) | |||||||
\(618\) | −35.9301 | + | 7.12009i | −1.44532 | + | 0.286412i | ||||
\(619\) | −38.5808 | − | 20.2488i | −1.55069 | − | 0.813867i | −0.550908 | − | 0.834566i | \(-0.685718\pi\) |
−0.999786 | + | 0.0206991i | \(0.993411\pi\) | |||||||
\(620\) | −21.1806 | + | 18.3337i | −0.850635 | + | 0.736301i | ||||
\(621\) | −7.55852 | + | 5.95689i | −0.303313 | + | 0.239042i | ||||
\(622\) | 23.4454 | − | 9.04633i | 0.940076 | − | 0.362725i | ||||
\(623\) | 5.55840 | − | 2.83618i | 0.222693 | − | 0.113629i | ||||
\(624\) | 23.5489 | − | 52.7283i | 0.942710 | − | 2.11082i | ||||
\(625\) | 11.5896 | − | 28.5591i | 0.463585 | − | 1.14236i | ||||
\(626\) | −34.6759 | − | 24.8295i | −1.38593 | − | 0.992387i | ||||
\(627\) | −7.41928 | + | 12.5157i | −0.296297 | + | 0.499829i | ||||
\(628\) | −3.47318 | − | 4.35524i | −0.138595 | − | 0.173793i | ||||
\(629\) | 11.8991 | + | 21.1687i | 0.474448 | + | 0.844052i | ||||
\(630\) | 22.1461 | + | 14.0043i | 0.882322 | + | 0.557947i | ||||
\(631\) | −0.459346 | + | 0.0638383i | −0.0182863 | + | 0.00254136i | −0.146791 | − | 0.989168i | \(-0.546894\pi\) |
0.128505 | + | 0.991709i | \(0.458982\pi\) | |||||||
\(632\) | −7.53442 | − | 5.79860i | −0.299703 | − | 0.230656i | ||||
\(633\) | −4.76388 | + | 43.4025i | −0.189347 | + | 1.72510i | ||||
\(634\) | −23.1216 | + | 25.2085i | −0.918277 | + | 1.00116i | ||||
\(635\) | −18.0100 | − | 20.0950i | −0.714706 | − | 0.797444i | ||||
\(636\) | 1.13505 | + | 13.1186i | 0.0450076 | + | 0.520185i | ||||
\(637\) | 19.5197 | − | 13.9770i | 0.773398 | − | 0.553788i | ||||
\(638\) | −6.07621 | − | 25.2772i | −0.240559 | − | 1.00073i | ||||
\(639\) | −56.8868 | − | 14.7177i | −2.25041 | − | 0.582225i | ||||
\(640\) | 14.2579 | − | 22.2625i | 0.563593 | − | 0.880001i | ||||
\(641\) | −12.4696 | + | 0.862344i | −0.492518 | + | 0.0340606i | −0.313115 | − | 0.949715i | \(-0.601373\pi\) |
−0.179403 | + | 0.983776i | \(0.557417\pi\) | |||||||
\(642\) | 0.0827296 | + | 14.3780i | 0.00326508 | + | 0.567455i | ||||
\(643\) | −8.56840 | + | 29.5815i | −0.337905 | + | 1.16658i | 0.594177 | + | 0.804334i | \(0.297478\pi\) |
−0.932082 | + | 0.362248i | \(0.882009\pi\) | |||||||
\(644\) | 0.901617 | + | 6.77316i | 0.0355287 | + | 0.266900i | ||||
\(645\) | −0.915260 | + | 0.869050i | −0.0360383 | + | 0.0342188i | ||||
\(646\) | −3.23341 | − | 9.87403i | −0.127217 | − | 0.388489i | ||||
\(647\) | 20.3650 | + | 31.7982i | 0.800632 | + | 1.25012i | 0.964617 | + | 0.263654i | \(0.0849276\pi\) |
−0.163985 | + | 0.986463i | \(0.552435\pi\) | |||||||
\(648\) | −3.96510 | − | 5.34030i | −0.155764 | − | 0.209787i | ||||
\(649\) | 54.0342 | + | 23.0218i | 2.12103 | + | 0.903685i | ||||
\(650\) | 10.8053 | + | 23.4650i | 0.423817 | + | 0.920374i | ||||
\(651\) | 24.5465 | + | 4.57134i | 0.962053 | + | 0.179165i | ||||
\(652\) | 2.80381 | − | 8.24028i | 0.109806 | − | 0.322714i | ||||
\(653\) | 6.77650 | − | 2.26233i | 0.265185 | − | 0.0885318i | −0.180966 | − | 0.983489i | \(-0.557923\pi\) |
0.446151 | + | 0.894958i | \(0.352794\pi\) | |||||||
\(654\) | 53.5808 | − | 13.2065i | 2.09518 | − | 0.516415i | ||||
\(655\) | 35.6943 | − | 42.7048i | 1.39469 | − | 1.66862i | ||||
\(656\) | 10.8146 | + | 20.8969i | 0.422240 | + | 0.815886i | ||||
\(657\) | −41.2529 | + | 11.1810i | −1.60943 | + | 0.436211i | ||||
\(658\) | −0.366827 | − | 0.750645i | −0.0143004 | − | 0.0292632i | ||||
\(659\) | 0.217463 | + | 0.615785i | 0.00847116 | + | 0.0239876i | 0.947089 | − | 0.320972i | \(-0.104010\pi\) |
−0.938617 | + | 0.344960i | \(0.887892\pi\) | |||||||
\(660\) | 1.73808 | + | 60.3982i | 0.0676549 | + | 2.35100i | ||||
\(661\) | 2.95313 | + | 11.1494i | 0.114863 | + | 0.433663i | 0.999466 | − | 0.0326833i | \(-0.0104053\pi\) |
−0.884602 | + | 0.466346i | \(0.845570\pi\) | |||||||
\(662\) | 41.7500 | − | 47.6759i | 1.62266 | − | 1.85298i | ||||
\(663\) | 63.1278 | + | 37.9145i | 2.45168 | + | 1.47248i | ||||
\(664\) | −6.26386 | − | 4.27063i | −0.243085 | − | 0.165733i | ||||
\(665\) | −3.09720 | + | 1.27769i | −0.120104 | + | 0.0495466i | ||||
\(666\) | −27.1280 | + | 6.02779i | −1.05119 | + | 0.233572i | ||||
\(667\) | 6.90260 | + | 6.40468i | 0.267270 | + | 0.247990i | ||||
\(668\) | −0.172768 | + | 4.28720i | −0.00668460 | + | 0.165877i | ||||
\(669\) | 68.3479 | − | 30.9977i | 2.64248 | − | 1.19844i | ||||
\(670\) | −46.7054 | + | 14.4067i | −1.80439 | + | 0.556580i | ||||
\(671\) | 11.7353 | + | 4.52801i | 0.453036 | + | 0.174802i | ||||
\(672\) | 21.7533 | − | 2.26106i | 0.839152 | − | 0.0872223i | ||||
\(673\) | 0.652557 | − | 8.70777i | 0.0251542 | − | 0.335660i | −0.970402 | − | 0.241494i | \(-0.922363\pi\) |
0.995557 | − | 0.0941659i | \(-0.0300184\pi\) | |||||||
\(674\) | −3.69116 | + | 10.0812i | −0.142178 | + | 0.388313i | ||||
\(675\) | −7.55688 | − | 0.610055i | −0.290865 | − | 0.0234810i | ||||
\(676\) | 9.00313 | + | 3.00569i | 0.346274 | + | 0.115603i | ||||
\(677\) | 0.0463842 | − | 0.0609922i | 0.00178269 | − | 0.00234412i | −0.795081 | − | 0.606504i | \(-0.792572\pi\) |
0.796863 | + | 0.604159i | \(0.206491\pi\) | |||||||
\(678\) | −60.5397 | − | 12.7226i | −2.32501 | − | 0.488607i | ||||
\(679\) | −16.0597 | + | 9.14927i | −0.616314 | + | 0.351117i | ||||
\(680\) | 16.8470 | + | 13.9175i | 0.646053 | + | 0.533711i | ||||
\(681\) | 24.7326 | + | 24.5907i | 0.947754 | + | 0.942316i | ||||
\(682\) | 32.4538 | + | 74.9727i | 1.24272 | + | 2.87085i | ||||
\(683\) | −5.52727 | + | 27.0744i | −0.211495 | + | 1.03597i | 0.725926 | + | 0.687773i | \(0.241412\pi\) |
−0.937421 | + | 0.348199i | \(0.886793\pi\) | |||||||
\(684\) | 4.74251 | − | 0.109170i | 0.181335 | − | 0.00417421i | ||||
\(685\) | −5.68189 | + | 11.2956i | −0.217094 | + | 0.431581i | ||||
\(686\) | 26.3642 | + | 11.9569i | 1.00659 | + | 0.456517i | ||||
\(687\) | 14.1574 | + | 1.80174i | 0.540138 | + | 0.0687405i | ||||
\(688\) | −0.117889 | + | 0.813890i | −0.00449447 | + | 0.0310293i | ||||
\(689\) | 16.6453 | − | 3.09988i | 0.634134 | − | 0.118096i | ||||
\(690\) | −31.6783 | − | 44.7827i | −1.20597 | − | 1.70485i | ||||
\(691\) | −14.8626 | − | 8.01997i | −0.565400 | − | 0.305094i | 0.167013 | − | 0.985955i | \(-0.446588\pi\) |
−0.732413 | + | 0.680860i | \(0.761606\pi\) | |||||||
\(692\) | 19.5443 | − | 12.3590i | 0.742961 | − | 0.469820i | ||||
\(693\) | 23.2793 | − | 19.6863i | 0.884309 | − | 0.747822i | ||||
\(694\) | 14.8893 | + | 24.4705i | 0.565188 | + | 0.928889i | ||||
\(695\) | 3.65877 | − | 2.81584i | 0.138785 | − | 0.106811i | ||||
\(696\) | 5.31551 | − | 5.40806i | 0.201484 | − | 0.204992i | ||||
\(697\) | −28.1151 | + | 10.4780i | −1.06494 | + | 0.396883i | ||||
\(698\) | −8.78699 | − | 29.0797i | −0.332593 | − | 1.10068i | ||||
\(699\) | 21.4373 | − | 10.6293i | 0.810833 | − | 0.402036i | ||||
\(700\) | −3.10861 | + | 4.39456i | −0.117494 | + | 0.166099i | ||||
\(701\) | −9.84197 | + | 21.3731i | −0.371726 | + | 0.807252i | 0.627856 | + | 0.778330i | \(0.283933\pi\) |
−0.999582 | + | 0.0289223i | \(0.990792\pi\) | |||||||
\(702\) | −14.5776 | + | 13.2171i | −0.550196 | + | 0.498849i | ||||
\(703\) | 1.37396 | − | 3.27695i | 0.0518197 | − | 0.123593i | ||||
\(704\) | 7.85544 | + | 9.39830i | 0.296063 | + | 0.354212i | ||||
\(705\) | 2.15767 | + | 1.58286i | 0.0812624 | + | 0.0596140i | ||||
\(706\) | −6.40057 | − | 58.3140i | −0.240889 | − | 2.19468i | ||||
\(707\) | 10.8307 | − | 17.8003i | 0.407330 | − | 0.669448i | ||||
\(708\) | −5.23420 | − | 33.4207i | −0.196713 | − | 1.25603i | ||||
\(709\) | 6.25191 | + | 8.02744i | 0.234795 | + | 0.301477i | 0.891818 | − | 0.452394i | \(-0.149430\pi\) |
−0.657023 | + | 0.753871i | \(0.728184\pi\) | |||||||
\(710\) | 23.4815 | − | 74.5986i | 0.881246 | − | 2.79963i | ||||
\(711\) | 14.5609 | + | 26.6166i | 0.546075 | + | 0.998199i | ||||
\(712\) | 0.308262 | + | 5.94747i | 0.0115526 | + | 0.222891i | ||||
\(713\) | −24.8258 | − | 16.1017i | −0.929732 | − | 0.603015i | ||||
\(714\) | −0.663827 | + | 38.4533i | −0.0248431 | + | 1.43908i | ||||
\(715\) | 77.0732 | − | 9.80870i | 2.88237 | − | 0.366825i | ||||
\(716\) | 17.2530 | + | 5.32184i | 0.644774 | + | 0.198886i | ||||
\(717\) | 32.3425 | + | 25.4893i | 1.20785 | + | 0.951913i | ||||
\(718\) | −2.68321 | + | 0.123597i | −0.100137 | + | 0.00461262i | ||||
\(719\) | −2.07051 | + | 17.0522i | −0.0772170 | + | 0.635939i | 0.901799 | + | 0.432156i | \(0.142247\pi\) |
−0.979016 | + | 0.203783i | \(0.934676\pi\) | |||||||
\(720\) | −45.5341 | + | 30.2830i | −1.69695 | + | 1.12858i | ||||
\(721\) | −6.71652 | + | 7.15566i | −0.250136 | + | 0.266491i | ||||
\(722\) | 18.5101 | − | 27.4878i | 0.688874 | − | 1.02299i | ||||
\(723\) | −1.75789 | − | 2.00740i | −0.0653766 | − | 0.0746560i | ||||
\(724\) | −6.24364 | − | 34.6321i | −0.232043 | − | 1.28709i | ||||
\(725\) | 0.554351 | + | 7.39730i | 0.0205881 | + | 0.274729i | ||||
\(726\) | 118.772 | + | 33.6633i | 4.40805 | + | 1.24936i | ||||
\(727\) | 23.6355 | − | 16.5160i | 0.876590 | − | 0.612543i | −0.0457365 | − | 0.998954i | \(-0.514563\pi\) |
0.922327 | + | 0.386410i | \(0.126285\pi\) | |||||||
\(728\) | −1.41528 | − | 6.93250i | −0.0524537 | − | 0.256935i | ||||
\(729\) | 8.94121 | + | 39.1740i | 0.331156 | + | 1.45089i | ||||
\(730\) | −12.0195 | − | 55.6026i | −0.444861 | − | 2.05794i | ||||
\(731\) | −1.01216 | − | 0.274332i | −0.0374362 | − | 0.0101465i | ||||
\(732\) | −1.36734 | − | 7.11445i | −0.0505383 | − | 0.262958i | ||||
\(733\) | 2.96371 | − | 4.51239i | 0.109467 | − | 0.166669i | −0.776941 | − | 0.629574i | \(-0.783230\pi\) |
0.886408 | + | 0.462905i | \(0.153193\pi\) | |||||||
\(734\) | 15.0437 | − | 10.2566i | 0.555274 | − | 0.378580i | ||||
\(735\) | −40.0935 | + | 2.30946i | −1.47887 | + | 0.0851859i | ||||
\(736\) | −24.8536 | − | 7.35419i | −0.916115 | − | 0.271079i | ||||
\(737\) | −0.327217 | + | 56.8687i | −0.0120532 | + | 2.09479i | ||||
\(738\) | −2.17174 | − | 34.2671i | −0.0799427 | − | 1.26139i | ||||
\(739\) | −7.72764 | + | 25.5739i | −0.284266 | + | 0.940752i | 0.691581 | + | 0.722299i | \(0.256914\pi\) |
−0.975847 | + | 0.218453i | \(0.929899\pi\) | |||||||
\(740\) | −2.45092 | − | 14.5518i | −0.0900976 | − | 0.534935i | ||||
\(741\) | −1.29880 | − | 10.6966i | −0.0477128 | − | 0.392950i | ||||
\(742\) | 5.74870 | + | 6.71911i | 0.211041 | + | 0.246666i | ||||
\(743\) | 1.56144 | − | 1.44881i | 0.0572838 | − | 0.0531516i | −0.651011 | − | 0.759068i | \(-0.725655\pi\) |
0.708295 | + | 0.705916i | \(0.249465\pi\) | |||||||
\(744\) | −13.5366 | + | 19.6111i | −0.496275 | + | 0.718979i | ||||
\(745\) | −1.63411 | − | 5.19142i | −0.0598693 | − | 0.190199i | ||||
\(746\) | 26.3375 | − | 27.4202i | 0.964284 | − | 1.00393i | ||||
\(747\) | 12.8121 | + | 20.5211i | 0.468769 | + | 0.750827i | ||||
\(748\) | −42.1211 | + | 27.3193i | −1.54010 | + | 0.998893i | ||||
\(749\) | 2.26079 | + | 3.11925i | 0.0826075 | + | 0.113975i | ||||
\(750\) | −3.33488 | + | 25.0524i | −0.121772 | + | 0.914783i | ||||
\(751\) | 14.2267 | + | 6.25585i | 0.519141 | + | 0.228279i | 0.645576 | − | 0.763696i | \(-0.276617\pi\) |
−0.126435 | + | 0.991975i | \(0.540354\pi\) | |||||||
\(752\) | 1.74261 | − | 0.0601841i | 0.0635465 | − | 0.00219469i | ||||
\(753\) | −3.52773 | − | 7.89894i | −0.128558 | − | 0.287853i | ||||
\(754\) | 14.9835 | + | 12.0906i | 0.545665 | + | 0.440313i | ||||
\(755\) | 9.89568 | + | 1.96098i | 0.360141 | + | 0.0713672i | ||||
\(756\) | −3.90386 | − | 1.25356i | −0.141982 | − | 0.0455914i | ||||
\(757\) | 14.7752 | − | 41.8385i | 0.537012 | − | 1.52065i | −0.289190 | − | 0.957272i | \(-0.593386\pi\) |
0.826202 | − | 0.563374i | \(-0.190497\pi\) | |||||||
\(758\) | 66.8435 | − | 7.72626i | 2.42786 | − | 0.280630i | ||||
\(759\) | −60.7686 | + | 19.5132i | −2.20576 | + | 0.708285i | ||||
\(760\) | 0.0919775 | − | 3.19620i | 0.00333637 | − | 0.115939i | ||||
\(761\) | −27.4082 | + | 6.42187i | −0.993545 | + | 0.232793i | −0.692971 | − | 0.720966i | \(-0.743698\pi\) |
−0.300574 | + | 0.953758i | \(0.597178\pi\) | |||||||
\(762\) | 37.7405 | + | 25.0998i | 1.36720 | + | 0.909270i | ||||
\(763\) | 9.61222 | − | 11.2348i | 0.347986 | − | 0.406727i | ||||
\(764\) | −0.776265 | − | 19.2628i | −0.0280843 | − | 0.696904i | ||||
\(765\) | −31.3356 | − | 62.2951i | −1.13294 | − | 2.25228i | ||||
\(766\) | −19.7021 | − | 37.0200i | −0.711865 | − | 1.33759i | ||||
\(767\) | −42.1111 | + | 10.8950i | −1.52054 | + | 0.393395i | ||||
\(768\) | −17.1264 | + | 52.2997i | −0.617995 | + | 1.88720i | ||||
\(769\) | 8.55433 | + | 18.0279i | 0.308477 | + | 0.650102i | 0.997189 | − | 0.0749338i | \(-0.0238746\pi\) |
−0.688711 | + | 0.725036i | \(0.741823\pi\) | |||||||
\(770\) | 24.5628 | + | 32.2986i | 0.885183 | + | 1.16396i | ||||
\(771\) | 24.8394 | + | 73.0021i | 0.894571 | + | 2.62911i | ||||
\(772\) | −0.105061 | − | 0.725330i | −0.00378124 | − | 0.0261052i | ||||
\(773\) | 0.673402 | + | 39.0079i | 0.0242206 | + | 1.40302i | 0.724562 | + | 0.689209i | \(0.242042\pi\) |
−0.700342 | + | 0.713808i | \(0.746969\pi\) | |||||||
\(774\) | 0.635554 | − | 1.01797i | 0.0228445 | − | 0.0365901i | ||||
\(775\) | −5.70881 | − | 22.6011i | −0.205067 | − | 0.811855i | ||||
\(776\) | −1.72268 | − | 17.5554i | −0.0618407 | − | 0.630202i | ||||
\(777\) | −8.77845 | + | 9.79470i | −0.314925 | + | 0.351383i | ||||
\(778\) | 10.8212 | + | 8.13162i | 0.387959 | + | 0.291533i | ||||
\(779\) | 3.73745 | + | 2.30364i | 0.133908 | + | 0.0825366i | ||||
\(780\) | −28.3010 | − | 34.6625i | −1.01334 | − | 1.24112i | ||||
\(781\) | −74.5896 | − | 52.1217i | −2.66903 | − | 1.86506i | ||||
\(782\) | 18.1060 | − | 41.8272i | 0.647468 | − | 1.49574i | ||||
\(783\) | −5.24781 | + | 2.09454i | −0.187541 | + | 0.0748527i | ||||
\(784\) | −19.5869 | + | 17.3525i | −0.699532 | + | 0.619731i | ||||
\(785\) | 11.7258 | − | 2.46421i | 0.418513 | − | 0.0879515i | ||||
\(786\) | −40.0768 | + | 84.4600i | −1.42949 | + | 3.01259i | ||||
\(787\) | 15.8492 | + | 15.0490i | 0.564963 | + | 0.536439i | 0.916656 | − | 0.399676i | \(-0.130877\pi\) |
−0.351693 | + | 0.936115i | \(0.614394\pi\) | |||||||
\(788\) | −16.6284 | + | 22.9425i | −0.592362 | + | 0.817293i | ||||
\(789\) | 3.38318 | − | 65.2734i | 0.120444 | − | 2.32380i | ||||
\(790\) | −36.3812 | + | 17.5203i | −1.29438 | + | 0.623343i | ||||
\(791\) | −15.1727 | + | 6.67182i | −0.539480 | + | 0.237223i | ||||
\(792\) | 8.09511 | + | 27.9476i | 0.287647 | + | 0.993073i | ||||
\(793\) | −8.93264 | + | 2.64317i | −0.317208 | + | 0.0938619i | ||||
\(794\) | −12.5048 | + | 4.49712i | −0.443778 | + | 0.159597i | ||||
\(795\) | −26.3049 | − | 10.4990i | −0.932940 | − | 0.372361i | ||||
\(796\) | 19.8240 | − | 19.7102i | 0.702642 | − | 0.698611i | ||||
\(797\) | 22.1772 | − | 2.04745i | 0.785558 | − | 0.0725245i | 0.308302 | − | 0.951289i | \(-0.400239\pi\) |
0.477256 | + | 0.878764i | \(0.341631\pi\) | |||||||
\(798\) | 4.49888 | − | 3.38069i | 0.159259 | − | 0.119675i | ||||
\(799\) | −0.191663 | + | 2.21518i | −0.00678054 | + | 0.0783674i | ||||
\(800\) | −10.4121 | − | 17.5644i | −0.368123 | − | 0.620994i | ||||
\(801\) | 6.73905 | − | 17.7694i | 0.238113 | − | 0.627852i | ||||
\(802\) | 34.4811 | − | 28.4852i | 1.21757 | − | 1.00585i | ||||
\(803\) | −65.9092 | − | 6.08489i | −2.32589 | − | 0.214731i | ||||
\(804\) | 27.8832 | − | 17.1863i | 0.983364 | − | 0.606114i | ||||
\(805\) | −13.8864 | − | 4.81426i | −0.489431 | − | 0.169680i | ||||
\(806\) | −52.9111 | − | 29.3424i | −1.86372 | − | 1.03354i | ||||
\(807\) | 47.0074 | − | 60.3573i | 1.65474 | − | 2.12468i | ||||
\(808\) | 11.2963 | + | 16.3656i | 0.397404 | + | 0.575739i | ||||
\(809\) | 10.3052 | + | 2.28980i | 0.362312 | + | 0.0805050i | 0.394296 | − | 0.918983i | \(-0.370988\pi\) |
−0.0319838 | + | 0.999488i | \(0.510183\pi\) | |||||||
\(810\) | −27.8300 | + | 4.85216i | −0.977847 | + | 0.170488i | ||||
\(811\) | 9.67441 | − | 5.36504i | 0.339715 | − | 0.188392i | −0.305884 | − | 0.952069i | \(-0.598952\pi\) |
0.645599 | + | 0.763677i | \(0.276608\pi\) | |||||||
\(812\) | −0.620743 | + | 3.96348i | −0.0217838 | + | 0.139091i | ||||
\(813\) | −55.6197 | − | 47.0352i | −1.95067 | − | 1.64960i | ||||
\(814\) | −42.6256 | − | 5.92396i | −1.49403 | − | 0.207635i | ||||
\(815\) | 13.1239 | + | 13.3525i | 0.459711 | + | 0.467716i | ||||
\(816\) | −72.7112 | − | 33.9907i | −2.54540 | − | 1.18991i | ||||
\(817\) | 0.0593334 | + | 0.141513i | 0.00207581 | + | 0.00495092i | ||||
\(818\) | 30.7931 | − | 59.5008i | 1.07665 | − | 2.08040i | ||||
\(819\) | −4.77056 | + | 22.0688i | −0.166697 | + | 0.771146i | ||||
\(820\) | 18.2317 | − | 0.209813i | 0.636678 | − | 0.00732700i | ||||
\(821\) | 47.6604 | − | 0.548484i | 1.66336 | − | 0.0191422i | 0.825291 | − | 0.564708i | \(-0.191011\pi\) |
0.838068 | + | 0.545566i | \(0.183685\pi\) | |||||||
\(822\) | 4.48728 | − | 20.7583i | 0.156512 | − | 0.724030i | ||||
\(823\) | 6.24282 | − | 12.0629i | 0.217611 | − | 0.420485i | −0.754066 | − | 0.656799i | \(-0.771910\pi\) |
0.971677 | + | 0.236314i | \(0.0759393\pi\) | |||||||
\(824\) | −3.62162 | − | 8.63773i | −0.126165 | − | 0.300910i | ||||
\(825\) | −45.5492 | − | 21.2931i | −1.58582 | − | 0.741331i | ||||
\(826\) | −15.9244 | − | 16.2017i | −0.554081 | − | 0.563728i | ||||
\(827\) | 34.2567 | + | 4.76088i | 1.19122 | + | 0.165552i | 0.705596 | − | 0.708615i | \(-0.250680\pi\) |
0.485626 | + | 0.874167i | \(0.338592\pi\) | |||||||
\(828\) | 15.8896 | + | 13.4372i | 0.552203 | + | 0.466974i | ||||
\(829\) | −0.897866 | + | 5.73293i | −0.0311842 | + | 0.199113i | −0.998520 | − | 0.0543852i | \(-0.982680\pi\) |
0.967336 | + | 0.253498i | \(0.0815812\pi\) | |||||||
\(830\) | −28.1588 | + | 15.6157i | −0.977405 | + | 0.542030i | ||||
\(831\) | 1.02365 | − | 0.178474i | 0.0355101 | − | 0.00619119i | ||||
\(832\) | −8.85541 | − | 1.96765i | −0.307006 | − | 0.0682161i | ||||
\(833\) | −18.9554 | − | 27.4617i | −0.656767 | − | 0.951492i | ||||
\(834\) | −4.76494 | + | 6.11817i | −0.164996 | + | 0.211855i | ||||
\(835\) | −8.07103 | − | 4.47587i | −0.279309 | − | 0.154894i | ||||
\(836\) | 6.94095 | + | 2.40635i | 0.240058 | + | 0.0832254i | ||||
\(837\) | 15.1155 | − | 9.31669i | 0.522467 | − | 0.322032i | ||||
\(838\) | −15.2503 | − | 1.40794i | −0.526814 | − | 0.0486366i | ||||
\(839\) | 9.01991 | − | 7.45143i | 0.311402 | − | 0.257252i | −0.468067 | − | 0.883693i | \(-0.655049\pi\) |
0.779469 | + | 0.626441i | \(0.215489\pi\) | |||||||
\(840\) | −4.19703 | + | 11.0667i | −0.144811 | + | 0.381836i | ||||
\(841\) | −11.9689 | − | 20.1905i | −0.412719 | − | 0.696223i | ||||
\(842\) | −0.393038 | + | 4.54262i | −0.0135450 | + | 0.156549i | ||||
\(843\) | −16.3839 | + | 12.3117i | −0.564291 | + | 0.424037i | ||||
\(844\) | 21.9528 | − | 2.02673i | 0.755645 | − | 0.0697629i | ||||
\(845\) | −14.4777 | + | 14.3947i | −0.498049 | + | 0.495191i | ||||
\(846\) | −2.36318 | − | 0.943206i | −0.0812477 | − | 0.0324281i | ||||
\(847\) | 31.1248 | − | 11.1935i | 1.06946 | − | 0.384612i | ||||
\(848\) | −17.6963 | + | 5.23635i | −0.607694 | + | 0.179817i | ||||
\(849\) | 20.2290 | + | 69.8388i | 0.694259 | + | 2.39686i | ||||
\(850\) | 32.8685 | − | 14.4531i | 1.12738 | − | 0.495736i | ||||
\(851\) | 14.0438 | − | 6.76315i | 0.481416 | − | 0.231838i | ||||
\(852\) | −2.71278 | + | 52.3392i | −0.0929385 | + | 1.79311i | ||||
\(853\) | −24.4254 | + | 33.7002i | −0.836309 | + | 1.15387i | 0.149954 | + | 0.988693i | \(0.452087\pi\) |
−0.986264 | + | 0.165178i | \(0.947180\pi\) | |||||||
\(854\) | −3.52811 | − | 3.34998i | −0.120730 | − | 0.114634i | ||||
\(855\) | −4.37421 | + | 9.21845i | −0.149595 | + | 0.315264i | ||||
\(856\) | −3.59803 | + | 0.756134i | −0.122978 | + | 0.0258441i | ||||
\(857\) | 19.2071 | − | 17.0160i | 0.656102 | − | 0.581256i | −0.267992 | − | 0.963421i | \(-0.586360\pi\) |
0.924094 | + | 0.382165i | \(0.124822\pi\) | |||||||
\(858\) | −121.203 | + | 48.3755i | −4.13782 | + | 1.65151i | ||||
\(859\) | 2.78494 | − | 6.43359i | 0.0950210 | − | 0.219511i | −0.863612 | − | 0.504158i | \(-0.831803\pi\) |
0.958633 | + | 0.284647i | \(0.0918762\pi\) | |||||||
\(860\) | 0.522364 | + | 0.365017i | 0.0178125 | + | 0.0124470i | ||||
\(861\) | −10.2780 | − | 12.5882i | −0.350272 | − | 0.429005i | ||||
\(862\) | −33.3666 | − | 20.5661i | −1.13647 | − | 0.700484i | ||||
\(863\) | −29.3368 | − | 22.0452i | −0.998636 | − | 0.750426i | −0.0301632 | − | 0.999545i | \(-0.509603\pi\) |
−0.968473 | + | 0.249119i | \(0.919859\pi\) | |||||||
\(864\) | 10.3803 | − | 11.5820i | 0.353146 | − | 0.394028i | ||||
\(865\) | 4.85745 | + | 49.5010i | 0.165158 | + | 1.68308i | ||||
\(866\) | −4.82345 | − | 19.0960i | −0.163907 | − | 0.648907i | ||||
\(867\) | 30.5311 | − | 48.9016i | 1.03689 | − | 1.66079i | ||||
\(868\) | −0.217604 | − | 12.6051i | −0.00738596 | − | 0.427844i | ||||
\(869\) | 6.73508 | + | 46.4981i | 0.228472 | + | 1.57734i | ||||
\(870\) | −10.3744 | − | 30.4899i | −0.351725 | − | 1.03371i | ||||
\(871\) | −25.4947 | − | 33.5239i | −0.863855 | − | 1.13591i | ||||
\(872\) | 6.04930 | + | 12.7486i | 0.204855 | + | 0.431723i | ||||
\(873\) | −17.5177 | + | 53.4948i | −0.592885 | + | 1.81052i | ||||
\(874\) | −6.45660 | + | 1.67045i | −0.218398 | + | 0.0565038i | ||||
\(875\) | 3.18134 | + | 5.97769i | 0.107549 | + | 0.202083i | ||||
\(876\) | 17.1309 | + | 34.0562i | 0.578800 | + | 1.15065i | ||||
\(877\) | 0.0944679 | + | 2.34420i | 0.00318995 | + | 0.0791579i | 1.00000 | 0.000655403i | \(-0.000208621\pi\) | |
−0.996810 | + | 0.0798133i | \(0.974568\pi\) | |||||||
\(878\) | −22.8366 | + | 26.6916i | −0.770699 | + | 0.900797i | ||||
\(879\) | 57.2423 | + | 38.0697i | 1.93074 | + | 1.28406i | ||||
\(880\) | −82.4521 | + | 19.3189i | −2.77946 | + | 0.651242i | ||||
\(881\) | 0.0621694 | − | 2.16038i | 0.00209454 | − | 0.0727850i | −0.997876 | − | 0.0651386i | \(-0.979251\pi\) |
0.999971 | − | 0.00764638i | \(-0.00243394\pi\) | |||||||
\(882\) | 36.3574 | − | 11.6746i | 1.22422 | − | 0.393105i | ||||
\(883\) | −23.8007 | + | 2.75106i | −0.800956 | + | 0.0925804i | −0.505557 | − | 0.862793i | \(-0.668713\pi\) |
−0.295400 | + | 0.955374i | \(0.595453\pi\) | |||||||
\(884\) | 12.3810 | − | 35.0591i | 0.416419 | − | 1.17917i | ||||
\(885\) | 69.2785 | + | 22.2458i | 2.32877 | + | 0.747785i | ||||
\(886\) | −20.7665 | − | 4.11519i | −0.697664 | − | 0.138252i | ||||
\(887\) | −10.0237 | − | 8.08844i | −0.336563 | − | 0.271583i | 0.444839 | − | 0.895611i | \(-0.353261\pi\) |
−0.781402 | + | 0.624027i | \(0.785495\pi\) | |||||||
\(888\) | −5.11885 | − | 11.4616i | −0.171777 | − | 0.384626i | ||||
\(889\) | 12.1367 | − | 0.419163i | 0.407053 | − | 0.0140583i | ||||
\(890\) | 23.1544 | + | 10.1816i | 0.776138 | + | 0.341287i | ||||
\(891\) | −4.33720 | + | 32.5821i | −0.145302 | + | 1.09154i | ||||
\(892\) | −22.2377 | − | 30.6817i | −0.744572 | − | 1.02730i | ||||
\(893\) | 0.272961 | − | 0.177040i | 0.00913431 | − | 0.00592442i | ||||
\(894\) | 4.84134 | + | 7.75438i | 0.161919 | + | 0.259345i | ||||
\(895\) | −26.9024 | + | 28.0083i | −0.899247 | + | 0.936215i | ||||
\(896\) | 3.57220 | + | 11.3485i | 0.119339 | + | 0.379128i | ||||
\(897\) | 26.8511 | − | 38.9005i | 0.896532 | − | 1.29885i | ||||
\(898\) | 29.7304 | − | 27.5858i | 0.992115 | − | 0.920548i | ||||
\(899\) | −11.2945 | − | 13.2010i | −0.376691 | − | 0.440279i | ||||
\(900\) | 1.97603 | + | 16.2741i | 0.0658676 | + | 0.542469i | ||||
\(901\) | −3.90855 | − | 23.2062i | −0.130213 | − | 0.773110i | ||||
\(902\) | 15.3803 | − | 50.8998i | 0.512109 | − | 1.69478i | ||||
\(903\) | −0.0359258 | − | 0.566860i | −0.00119554 | − | 0.0188639i | ||||
\(904\) | 0.0910169 | − | 15.8183i | 0.00302718 | − | 0.526109i | ||||
\(905\) | 72.5818 | + | 21.4770i | 2.41270 | + | 0.713920i | ||||
\(906\) | −16.9165 | + | 0.974425i | −0.562015 | + | 0.0323731i | ||||
\(907\) | 3.57162 | − | 2.43509i | 0.118594 | − | 0.0808557i | −0.502571 | − | 0.864536i | \(-0.667612\pi\) |
0.621164 | + | 0.783680i | \(0.286660\pi\) | |||||||
\(908\) | 9.66735 | − | 14.7190i | 0.320822 | − | 0.488466i | ||||
\(909\) | −11.9767 | − | 62.3165i | −0.397243 | − | 2.06691i | ||||
\(910\) | −29.0046 | − | 7.86128i | −0.961495 | − | 0.260599i | ||||
\(911\) | 7.20203 | + | 33.3169i | 0.238614 | + | 1.10384i | 0.925994 | + | 0.377539i | \(0.123230\pi\) |
−0.687380 | + | 0.726298i | \(0.741239\pi\) | |||||||
\(912\) | 2.61343 | + | 11.4502i | 0.0865392 | + | 0.379153i | ||||
\(913\) | 7.49382 | + | 36.7072i | 0.248009 | + | 1.21483i | ||||
\(914\) | −31.6189 | + | 22.0946i | −1.04586 | + | 0.730826i | ||||
\(915\) | 14.9923 | + | 4.24924i | 0.495631 | + | 0.140475i | ||||
\(916\) | −0.538498 | − | 7.18575i | −0.0177925 | − | 0.237424i | ||||
\(917\) | 4.44411 | + | 24.6505i | 0.146757 | + | 0.814031i | ||||
\(918\) | 18.0181 | + | 20.5755i | 0.594685 | + | 0.679093i | ||||
\(919\) | −28.8482 | + | 42.8400i | −0.951613 | + | 1.41316i | −0.0413437 | + | 0.999145i | \(0.513164\pi\) |
−0.910269 | + | 0.414017i | \(0.864126\pi\) | |||||||
\(920\) | 9.59955 | − | 10.2272i | 0.316488 | − | 0.337181i | ||||
\(921\) | 39.7838 | − | 26.4587i | 1.31092 | − | 0.871845i | ||||
\(922\) | −1.10532 | + | 9.10314i | −0.0364018 | + | 0.299796i | ||||
\(923\) | 67.3190 | − | 3.10093i | 2.21583 | − | 0.102068i | ||||
\(924\) | −21.3571 | − | 16.8316i | −0.702599 | − | 0.553720i | ||||
\(925\) | 11.7341 | + | 3.61949i | 0.385815 | + | 0.119008i | ||||
\(926\) | 2.53958 | − | 0.323199i | 0.0834558 | − | 0.0106210i | ||||
\(927\) | −0.515896 | + | 29.8841i | −0.0169442 | + | 0.981523i | ||||
\(928\) | −12.7674 | − | 8.28080i | −0.419110 | − | 0.271830i | ||||
\(929\) | −2.25855 | − | 43.5754i | −0.0741006 | − | 1.42966i | −0.734429 | − | 0.678686i | \(-0.762550\pi\) |
0.660328 | − | 0.750977i | \(-0.270417\pi\) | |||||||
\(930\) | 48.5736 | + | 88.7902i | 1.59279 | + | 2.91155i | ||||
\(931\) | −1.46601 | + | 4.65737i | −0.0480465 | + | 0.152639i | ||||
\(932\) | −7.42347 | − | 9.53172i | −0.243164 | − | 0.312222i | ||||
\(933\) | −5.60483 | − | 35.7872i | −0.183494 | − | 1.17162i | ||||
\(934\) | −6.29091 | + | 10.3391i | −0.205845 | + | 0.338307i | ||||
\(935\) | −11.7821 | − | 107.343i | −0.385315 | − | 3.51051i | ||||
\(936\) | −17.3745 | − | 12.7459i | −0.567903 | − | 0.416613i | ||||
\(937\) | −22.7229 | − | 27.1858i | −0.742324 | − | 0.888121i | 0.254555 | − | 0.967058i | \(-0.418071\pi\) |
−0.996880 | + | 0.0789368i | \(0.974847\pi\) | |||||||
\(938\) | 8.50522 | − | 20.2854i | 0.277705 | − | 0.662341i | ||||
\(939\) | −45.5429 | + | 41.2926i | −1.48623 | + | 1.34753i | ||||
\(940\) | 0.565141 | − | 1.22728i | 0.0184329 | − | 0.0400294i | ||||
\(941\) | −17.1820 | + | 24.2897i | −0.560117 | + | 0.791822i | −0.994027 | − | 0.109134i | \(-0.965192\pi\) |
0.433910 | + | 0.900956i | \(0.357134\pi\) | |||||||
\(942\) | −18.0309 | + | 8.94027i | −0.587478 | + | 0.291290i | ||||
\(943\) | 5.57079 | + | 18.4360i | 0.181410 | + | 0.600359i | ||||
\(944\) | 44.4263 | − | 16.5569i | 1.44595 | − | 0.538881i | ||||
\(945\) | 6.18212 | − | 6.28976i | 0.201104 | − | 0.204606i | ||||
\(946\) | 1.47278 | − | 1.13347i | 0.0478842 | − | 0.0368524i | ||||
\(947\) | 5.92239 | + | 9.73347i | 0.192452 | + | 0.316295i | 0.935749 | − | 0.352666i | \(-0.114725\pi\) |
−0.743298 | + | 0.668961i | \(0.766739\pi\) | |||||||
\(948\) | 20.6625 | − | 17.4734i | 0.671086 | − | 0.567509i | ||||
\(949\) | 41.4304 | − | 26.1990i | 1.34489 | − | 0.850456i | ||||
\(950\) | −4.62372 | − | 2.49499i | −0.150013 | − | 0.0809483i | ||||
\(951\) | 28.4742 | + | 40.2533i | 0.923341 | + | 1.30530i | ||||
\(952\) | −9.66800 | + | 1.80049i | −0.313342 | + | 0.0583542i | ||||
\(953\) | −0.790291 | + | 5.45607i | −0.0256000 | + | 0.176739i | −0.998519 | − | 0.0544079i | \(-0.982673\pi\) |
0.972919 | + | 0.231147i | \(0.0742480\pi\) | |||||||
\(954\) | 26.7150 | + | 3.39988i | 0.864931 | + | 0.110075i | ||||
\(955\) | 37.7646 | + | 17.1273i | 1.22203 | + | 0.554226i | ||||
\(956\) | 9.34331 | − | 18.5745i | 0.302184 | − | 0.600741i | ||||
\(957\) | −37.4634 | + | 0.862384i | −1.21102 | + | 0.0278769i | ||||
\(958\) | 7.28399 | − | 35.6794i | 0.235335 | − | 1.15275i | ||||
\(959\) | −2.26048 | − | 5.22202i | −0.0729948 | − | 0.168628i | ||||
\(960\) | 10.7608 | + | 10.6991i | 0.347304 | + | 0.345312i | ||||
\(961\) | 18.1907 | + | 15.0275i | 0.586796 | + | 0.484758i | ||||
\(962\) | 27.6926 | − | 15.7766i | 0.892847 | − | 0.508658i | ||||
\(963\) | 11.4816 | + | 2.41289i | 0.369991 | + | 0.0777543i | ||||
\(964\) | −0.815540 | + | 1.07238i | −0.0262668 | + | 0.0345391i | ||||
\(965\) | 1.49530 | + | 0.499205i | 0.0481354 | + | 0.0160700i | ||||
\(966\) | 24.6063 | + | 1.98643i | 0.791694 | + | 0.0639122i | ||||
\(967\) | 3.12144 | − | 8.52517i | 0.100379 | − | 0.274151i | −0.878787 | − | 0.477214i | \(-0.841647\pi\) |
0.979166 | + | 0.203063i | \(0.0650898\pi\) | |||||||
\(968\) | −2.35902 | + | 31.4789i | −0.0758217 | + | 1.01177i | ||||
\(969\) | −14.8962 | + | 1.54832i | −0.478534 | + | 0.0497393i | ||||
\(970\) | −69.8971 | − | 26.9695i | −2.24426 | − | 0.865938i | ||||
\(971\) | −11.4627 | + | 3.53576i | −0.367854 | + | 0.113468i | −0.473171 | − | 0.880971i | \(-0.656891\pi\) |
0.105317 | + | 0.994439i | \(0.466414\pi\) | |||||||
\(972\) | 25.9577 | − | 11.7725i | 0.832594 | − | 0.377605i | ||||
\(973\) | −0.0836626 | + | 2.07607i | −0.00268210 | + | 0.0665557i | ||||
\(974\) | 41.1804 | + | 38.2098i | 1.31950 | + | 1.22432i | ||||
\(975\) | 36.3505 | − | 8.07699i | 1.16415 | − | 0.258671i | ||||
\(976\) | 9.38631 | − | 3.87213i | 0.300448 | − | 0.123944i | ||||
\(977\) | −41.5763 | − | 28.3463i | −1.33014 | − | 0.906877i | −0.330823 | − | 0.943693i | \(-0.607326\pi\) |
−0.999322 | + | 0.0368157i | \(0.988279\pi\) | |||||||
\(978\) | −26.9586 | − | 16.1913i | −0.862040 | − | 0.517741i | ||||
\(979\) | 19.3889 | − | 22.1409i | 0.619671 | − | 0.707626i | ||||
\(980\) | 5.19179 | + | 19.6014i | 0.165846 | + | 0.626144i | ||||
\(981\) | −1.29529 | − | 45.0110i | −0.0413553 | − | 1.43709i | ||||
\(982\) | −6.26105 | − | 17.7293i | −0.199798 | − | 0.565764i | ||||
\(983\) | −14.0390 | − | 28.7282i | −0.447774 | − | 0.916289i | −0.996758 | − | 0.0804558i | \(-0.974362\pi\) |
0.548984 | − | 0.835833i | \(-0.315015\pi\) | |||||||
\(984\) | 14.9696 | − | 4.05728i | 0.477212 | − | 0.129341i | ||||
\(985\) | −28.0124 | − | 54.1277i | −0.892549 | − | 1.72465i | ||||
\(986\) | 17.1617 | − | 20.5324i | 0.546540 | − | 0.653883i | ||||
\(987\) | −1.16930 | + | 0.288206i | −0.0372191 | + | 0.00917369i | ||||
\(988\) | −5.16054 | + | 1.72284i | −0.164179 | + | 0.0548109i | ||||
\(989\) | −0.216831 | + | 0.637256i | −0.00689481 | + | 0.0202636i | ||||
\(990\) | 121.490 | + | 22.6252i | 3.86119 | + | 0.719077i | ||||
\(991\) | −18.7654 | − | 40.7515i | −0.596102 | − | 1.29451i | −0.935319 | − | 0.353806i | \(-0.884887\pi\) |
0.339217 | − | 0.940708i | \(-0.389838\pi\) | |||||||
\(992\) | 43.9944 | + | 18.7443i | 1.39682 | + | 0.595131i | ||||
\(993\) | −54.4549 | − | 73.3412i | −1.72807 | − | 2.32741i | ||||
\(994\) | 18.9818 | + | 29.6384i | 0.602066 | + | 0.940073i | ||||
\(995\) | 18.7127 | + | 57.1439i | 0.593232 | + | 1.81158i | ||||
\(996\) | 15.6476 | − | 14.8576i | 0.495814 | − | 0.470781i | ||||
\(997\) | −1.53765 | − | 11.5512i | −0.0486978 | − | 0.365830i | −0.998582 | − | 0.0532286i | \(-0.983049\pi\) |
0.949885 | − | 0.312601i | \(-0.101200\pi\) | |||||||
\(998\) | −6.60771 | + | 22.8125i | −0.209163 | + | 0.722116i | ||||
\(999\) | 0.0538181 | + | 9.35333i | 0.00170273 | + | 0.295926i |
(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 | 547.2.o.a.4.11 | ✓ | 6480 | |
547.137 | even | 273 | inner | 547.2.o.a.137.11 | yes | 6480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
547.2.o.a.4.11 | ✓ | 6480 | 1.1 | even | 1 | trivial | |
547.2.o.a.137.11 | yes | 6480 | 547.137 | even | 273 | inner |