Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(197,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.g (of order \(2\), degree \(1\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 197.10 | ||
Character | \(\chi\) | \(=\) | 231.197 |
Dual form | 231.2.g.a.197.9 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.858468 | −0.607029 | −0.303514 | − | 0.952827i | \(-0.598160\pi\) | ||||
−0.303514 | + | 0.952827i | \(0.598160\pi\) | |||||||
\(3\) | 1.60964 | + | 0.639565i | 0.929329 | + | 0.369253i | ||||
\(4\) | −1.26303 | −0.631516 | ||||||||
\(5\) | 2.44714i | 1.09439i | 0.837004 | + | 0.547197i | \(0.184305\pi\) | ||||
−0.837004 | + | 0.547197i | \(0.815695\pi\) | |||||||
\(6\) | −1.38183 | − | 0.549047i | −0.564129 | − | 0.224147i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | 2.80121 | 0.990377 | ||||||||
\(9\) | 2.18191 | + | 2.05895i | 0.727304 | + | 0.686315i | ||||
\(10\) | − | 2.10079i | − | 0.664329i | ||||||
\(11\) | −3.19676 | + | 0.883578i | −0.963860 | + | 0.266409i | ||||
\(12\) | −2.03303 | − | 0.807792i | −0.586886 | − | 0.233189i | ||||
\(13\) | 5.20778i | 1.44438i | 0.691695 | + | 0.722190i | \(0.256864\pi\) | ||||
−0.691695 | + | 0.722190i | \(0.743136\pi\) | |||||||
\(14\) | 0.858468i | 0.229435i | ||||||||
\(15\) | −1.56511 | + | 3.93903i | −0.404109 | + | 1.01705i | ||||
\(16\) | 0.121314 | 0.0303285 | ||||||||
\(17\) | 0.151573 | 0.0367619 | 0.0183810 | − | 0.999831i | \(-0.494149\pi\) | ||||
0.0183810 | + | 0.999831i | \(0.494149\pi\) | |||||||
\(18\) | −1.87310 | − | 1.76754i | −0.441495 | − | 0.416613i | ||||
\(19\) | 3.38435i | 0.776422i | 0.921570 | + | 0.388211i | \(0.126907\pi\) | ||||
−0.921570 | + | 0.388211i | \(0.873093\pi\) | |||||||
\(20\) | − | 3.09082i | − | 0.691128i | ||||||
\(21\) | 0.639565 | − | 1.60964i | 0.139565 | − | 0.351253i | ||||
\(22\) | 2.74432 | − | 0.758524i | 0.585091 | − | 0.161718i | ||||
\(23\) | − | 5.75973i | − | 1.20099i | −0.799630 | − | 0.600493i | \(-0.794971\pi\) | ||
0.799630 | − | 0.600493i | \(-0.205029\pi\) | |||||||
\(24\) | 4.50895 | + | 1.79156i | 0.920386 | + | 0.365700i | ||||
\(25\) | −0.988494 | −0.197699 | ||||||||
\(26\) | − | 4.47072i | − | 0.876780i | ||||||
\(27\) | 2.19527 | + | 4.70965i | 0.422480 | + | 0.906372i | ||||
\(28\) | 1.26303i | 0.238691i | ||||||||
\(29\) | 6.48993 | 1.20515 | 0.602575 | − | 0.798062i | \(-0.294142\pi\) | ||||
0.602575 | + | 0.798062i | \(0.294142\pi\) | |||||||
\(30\) | 1.34359 | − | 3.38153i | 0.245306 | − | 0.617380i | ||||
\(31\) | −5.46192 | −0.980989 | −0.490495 | − | 0.871444i | \(-0.663184\pi\) | ||||
−0.490495 | + | 0.871444i | \(0.663184\pi\) | |||||||
\(32\) | −5.70656 | −1.00879 | ||||||||
\(33\) | −5.71076 | − | 0.622291i | −0.994115 | − | 0.108327i | ||||
\(34\) | −0.130121 | −0.0223156 | ||||||||
\(35\) | 2.44714 | 0.413642 | ||||||||
\(36\) | −2.75583 | − | 2.60052i | −0.459304 | − | 0.433419i | ||||
\(37\) | 7.70173 | 1.26616 | 0.633078 | − | 0.774088i | \(-0.281791\pi\) | ||||
0.633078 | + | 0.774088i | \(0.281791\pi\) | |||||||
\(38\) | − | 2.90535i | − | 0.471311i | ||||||
\(39\) | −3.33072 | + | 8.38268i | −0.533342 | + | 1.34230i | ||||
\(40\) | 6.85495i | 1.08386i | ||||||||
\(41\) | 2.83876 | 0.443340 | 0.221670 | − | 0.975122i | \(-0.428849\pi\) | ||||
0.221670 | + | 0.975122i | \(0.428849\pi\) | |||||||
\(42\) | −0.549047 | + | 1.38183i | −0.0847197 | + | 0.213221i | ||||
\(43\) | − | 9.44759i | − | 1.44074i | −0.693588 | − | 0.720372i | \(-0.743971\pi\) | ||
0.693588 | − | 0.720372i | \(-0.256029\pi\) | |||||||
\(44\) | 4.03761 | − | 1.11599i | 0.608693 | − | 0.168241i | ||||
\(45\) | −5.03853 | + | 5.33944i | −0.751100 | + | 0.795957i | ||||
\(46\) | 4.94454i | 0.729033i | ||||||||
\(47\) | − | 0.242178i | − | 0.0353252i | −0.999844 | − | 0.0176626i | \(-0.994378\pi\) | ||
0.999844 | − | 0.0176626i | \(-0.00562248\pi\) | |||||||
\(48\) | 0.195273 | + | 0.0775883i | 0.0281852 | + | 0.0111989i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 0.848591 | 0.120009 | ||||||||
\(51\) | 0.243979 | + | 0.0969411i | 0.0341639 | + | 0.0135745i | ||||
\(52\) | − | 6.57760i | − | 0.912149i | ||||||
\(53\) | − | 11.3416i | − | 1.55789i | −0.627091 | − | 0.778946i | \(-0.715754\pi\) | ||
0.627091 | − | 0.778946i | \(-0.284246\pi\) | |||||||
\(54\) | −1.88457 | − | 4.04308i | −0.256458 | − | 0.550194i | ||||
\(55\) | −2.16224 | − | 7.82293i | −0.291556 | − | 1.05484i | ||||
\(56\) | − | 2.80121i | − | 0.374327i | ||||||
\(57\) | −2.16451 | + | 5.44759i | −0.286696 | + | 0.721552i | ||||
\(58\) | −5.57140 | −0.731560 | ||||||||
\(59\) | 2.22046i | 0.289080i | 0.989499 | + | 0.144540i | \(0.0461702\pi\) | ||||
−0.989499 | + | 0.144540i | \(0.953830\pi\) | |||||||
\(60\) | 1.97678 | − | 4.97512i | 0.255201 | − | 0.642285i | ||||
\(61\) | − | 11.1592i | − | 1.42879i | −0.699741 | − | 0.714397i | \(-0.746701\pi\) | ||
0.699741 | − | 0.714397i | \(-0.253299\pi\) | |||||||
\(62\) | 4.68888 | 0.595489 | ||||||||
\(63\) | 2.05895 | − | 2.18191i | 0.259403 | − | 0.274895i | ||||
\(64\) | 4.65628 | 0.582035 | ||||||||
\(65\) | −12.7442 | −1.58072 | ||||||||
\(66\) | 4.90250 | + | 0.534218i | 0.603457 | + | 0.0657576i | ||||
\(67\) | −1.94205 | −0.237259 | −0.118630 | − | 0.992939i | \(-0.537850\pi\) | ||||
−0.118630 | + | 0.992939i | \(0.537850\pi\) | |||||||
\(68\) | −0.191442 | −0.0232157 | ||||||||
\(69\) | 3.68372 | − | 9.27111i | 0.443468 | − | 1.11611i | ||||
\(70\) | −2.10079 | −0.251093 | ||||||||
\(71\) | − | 7.57130i | − | 0.898548i | −0.893394 | − | 0.449274i | \(-0.851683\pi\) | ||
0.893394 | − | 0.449274i | \(-0.148317\pi\) | |||||||
\(72\) | 6.11199 | + | 5.76754i | 0.720305 | + | 0.679711i | ||||
\(73\) | 3.49122i | 0.408616i | 0.978907 | + | 0.204308i | \(0.0654945\pi\) | ||||
−0.978907 | + | 0.204308i | \(0.934506\pi\) | |||||||
\(74\) | −6.61169 | −0.768593 | ||||||||
\(75\) | −1.59112 | − | 0.632207i | −0.183727 | − | 0.0730009i | ||||
\(76\) | − | 4.27454i | − | 0.490323i | ||||||
\(77\) | 0.883578 | + | 3.19676i | 0.100693 | + | 0.364305i | ||||
\(78\) | 2.85932 | − | 7.19627i | 0.323754 | − | 0.814817i | ||||
\(79\) | 11.6311i | 1.30861i | 0.756232 | + | 0.654303i | \(0.227038\pi\) | ||||
−0.756232 | + | 0.654303i | \(0.772962\pi\) | |||||||
\(80\) | 0.296873i | 0.0331914i | ||||||||
\(81\) | 0.521482 | + | 8.98488i | 0.0579424 | + | 0.998320i | ||||
\(82\) | −2.43699 | −0.269120 | ||||||||
\(83\) | 15.6670 | 1.71968 | 0.859841 | − | 0.510562i | \(-0.170563\pi\) | ||||
0.859841 | + | 0.510562i | \(0.170563\pi\) | |||||||
\(84\) | −0.807792 | + | 2.03303i | −0.0881373 | + | 0.221822i | ||||
\(85\) | 0.370921i | 0.0402320i | ||||||||
\(86\) | 8.11046i | 0.874574i | ||||||||
\(87\) | 10.4465 | + | 4.15073i | 1.11998 | + | 0.445005i | ||||
\(88\) | −8.95480 | + | 2.47509i | −0.954585 | + | 0.263845i | ||||
\(89\) | − | 2.58238i | − | 0.273732i | −0.990590 | − | 0.136866i | \(-0.956297\pi\) | ||
0.990590 | − | 0.136866i | \(-0.0437030\pi\) | |||||||
\(90\) | 4.32542 | − | 4.58374i | 0.455939 | − | 0.483169i | ||||
\(91\) | 5.20778 | 0.545924 | ||||||||
\(92\) | 7.27472i | 0.758442i | ||||||||
\(93\) | −8.79175 | − | 3.49325i | −0.911662 | − | 0.362234i | ||||
\(94\) | 0.207902i | 0.0214434i | ||||||||
\(95\) | −8.28197 | −0.849712 | ||||||||
\(96\) | −9.18554 | − | 3.64972i | −0.937495 | − | 0.372498i | ||||
\(97\) | −5.06076 | −0.513842 | −0.256921 | − | 0.966432i | \(-0.582708\pi\) | ||||
−0.256921 | + | 0.966432i | \(0.582708\pi\) | |||||||
\(98\) | 0.858468 | 0.0867184 | ||||||||
\(99\) | −8.79429 | − | 4.65407i | −0.883860 | − | 0.467752i | ||||
\(100\) | 1.24850 | 0.124850 | ||||||||
\(101\) | 2.97195 | 0.295720 | 0.147860 | − | 0.989008i | \(-0.452762\pi\) | ||||
0.147860 | + | 0.989008i | \(0.452762\pi\) | |||||||
\(102\) | −0.209448 | − | 0.0832208i | −0.0207385 | − | 0.00824009i | ||||
\(103\) | 2.10711 | 0.207620 | 0.103810 | − | 0.994597i | \(-0.466897\pi\) | ||||
0.103810 | + | 0.994597i | \(0.466897\pi\) | |||||||
\(104\) | 14.5881i | 1.43048i | ||||||||
\(105\) | 3.93903 | + | 1.56511i | 0.384410 | + | 0.152739i | ||||
\(106\) | 9.73643i | 0.945686i | ||||||||
\(107\) | −15.5706 | −1.50527 | −0.752635 | − | 0.658438i | \(-0.771218\pi\) | ||||
−0.752635 | + | 0.658438i | \(0.771218\pi\) | |||||||
\(108\) | −2.77270 | − | 5.94844i | −0.266803 | − | 0.572388i | ||||
\(109\) | − | 4.19595i | − | 0.401899i | −0.979602 | − | 0.200950i | \(-0.935597\pi\) | ||
0.979602 | − | 0.200950i | \(-0.0644027\pi\) | |||||||
\(110\) | 1.85621 | + | 6.71573i | 0.176983 | + | 0.640320i | ||||
\(111\) | 12.3970 | + | 4.92576i | 1.17668 | + | 0.467532i | ||||
\(112\) | − | 0.121314i | − | 0.0114631i | ||||||
\(113\) | 18.7645i | 1.76521i | 0.470113 | + | 0.882606i | \(0.344213\pi\) | ||||
−0.470113 | + | 0.882606i | \(0.655787\pi\) | |||||||
\(114\) | 1.85816 | − | 4.67659i | 0.174033 | − | 0.438003i | ||||
\(115\) | 14.0949 | 1.31435 | ||||||||
\(116\) | −8.19699 | −0.761071 | ||||||||
\(117\) | −10.7225 | + | 11.3629i | −0.991300 | + | 1.05050i | ||||
\(118\) | − | 1.90620i | − | 0.175480i | ||||||
\(119\) | − | 0.151573i | − | 0.0138947i | ||||||
\(120\) | −4.38419 | + | 11.0340i | −0.400220 | + | 1.00727i | ||||
\(121\) | 9.43858 | − | 5.64918i | 0.858053 | − | 0.513562i | ||||
\(122\) | 9.57985i | 0.867319i | ||||||||
\(123\) | 4.56940 | + | 1.81557i | 0.412009 | + | 0.163705i | ||||
\(124\) | 6.89858 | 0.619511 | ||||||||
\(125\) | 9.81672i | 0.878034i | ||||||||
\(126\) | −1.76754 | + | 1.87310i | −0.157465 | + | 0.166869i | ||||
\(127\) | 0.108701i | 0.00964569i | 0.999988 | + | 0.00482284i | \(0.00153516\pi\) | ||||
−0.999988 | + | 0.00482284i | \(0.998465\pi\) | |||||||
\(128\) | 7.41586 | 0.655476 | ||||||||
\(129\) | 6.04235 | − | 15.2073i | 0.532000 | − | 1.33893i | ||||
\(130\) | 10.9405 | 0.959543 | ||||||||
\(131\) | 12.8269 | 1.12069 | 0.560347 | − | 0.828258i | \(-0.310668\pi\) | ||||
0.560347 | + | 0.828258i | \(0.310668\pi\) | |||||||
\(132\) | 7.21287 | + | 0.785974i | 0.627800 | + | 0.0684103i | ||||
\(133\) | 3.38435 | 0.293460 | ||||||||
\(134\) | 1.66719 | 0.144023 | ||||||||
\(135\) | −11.5252 | + | 5.37214i | −0.991928 | + | 0.462360i | ||||
\(136\) | 0.424589 | 0.0364082 | ||||||||
\(137\) | 17.6915i | 1.51149i | 0.654868 | + | 0.755743i | \(0.272724\pi\) | ||||
−0.654868 | + | 0.755743i | \(0.727276\pi\) | |||||||
\(138\) | −3.16236 | + | 7.95896i | −0.269198 | + | 0.677511i | ||||
\(139\) | 2.19619i | 0.186278i | 0.995653 | + | 0.0931391i | \(0.0296901\pi\) | ||||
−0.995653 | + | 0.0931391i | \(0.970310\pi\) | |||||||
\(140\) | −3.09082 | −0.261222 | ||||||||
\(141\) | 0.154888 | − | 0.389820i | 0.0130440 | − | 0.0328287i | ||||
\(142\) | 6.49972i | 0.545445i | ||||||||
\(143\) | −4.60148 | − | 16.6480i | −0.384795 | − | 1.39218i | ||||
\(144\) | 0.264697 | + | 0.249779i | 0.0220581 | + | 0.0208149i | ||||
\(145\) | 15.8818i | 1.31891i | ||||||||
\(146\) | − | 2.99710i | − | 0.248042i | ||||||
\(147\) | −1.60964 | − | 0.639565i | −0.132761 | − | 0.0527505i | ||||
\(148\) | −9.72753 | −0.799598 | ||||||||
\(149\) | −7.83843 | −0.642149 | −0.321075 | − | 0.947054i | \(-0.604044\pi\) | ||||
−0.321075 | + | 0.947054i | \(0.604044\pi\) | |||||||
\(150\) | 1.36593 | + | 0.542729i | 0.111528 | + | 0.0443137i | ||||
\(151\) | − | 8.21629i | − | 0.668632i | −0.942461 | − | 0.334316i | \(-0.891495\pi\) | ||
0.942461 | − | 0.334316i | \(-0.108505\pi\) | |||||||
\(152\) | 9.48026i | 0.768951i | ||||||||
\(153\) | 0.330720 | + | 0.312081i | 0.0267371 | + | 0.0252303i | ||||
\(154\) | −0.758524 | − | 2.74432i | −0.0611236 | − | 0.221144i | ||||
\(155\) | − | 13.3661i | − | 1.07359i | ||||||
\(156\) | 4.20680 | − | 10.5876i | 0.336814 | − | 0.847686i | ||||
\(157\) | 9.44050 | 0.753434 | 0.376717 | − | 0.926328i | \(-0.377053\pi\) | ||||
0.376717 | + | 0.926328i | \(0.377053\pi\) | |||||||
\(158\) | − | 9.98497i | − | 0.794362i | ||||||
\(159\) | 7.25371 | − | 18.2560i | 0.575257 | − | 1.44779i | ||||
\(160\) | − | 13.9648i | − | 1.10401i | ||||||
\(161\) | −5.75973 | −0.453930 | ||||||||
\(162\) | −0.447675 | − | 7.71323i | −0.0351727 | − | 0.606009i | ||||
\(163\) | −8.13501 | −0.637183 | −0.318591 | − | 0.947892i | \(-0.603210\pi\) | ||||
−0.318591 | + | 0.947892i | \(0.603210\pi\) | |||||||
\(164\) | −3.58545 | −0.279976 | ||||||||
\(165\) | 1.52283 | − | 13.9750i | 0.118552 | − | 1.08795i | ||||
\(166\) | −13.4497 | −1.04390 | ||||||||
\(167\) | 2.64732 | 0.204856 | 0.102428 | − | 0.994740i | \(-0.467339\pi\) | ||||
0.102428 | + | 0.994740i | \(0.467339\pi\) | |||||||
\(168\) | 1.79156 | − | 4.50895i | 0.138222 | − | 0.347873i | ||||
\(169\) | −14.1210 | −1.08623 | ||||||||
\(170\) | − | 0.318424i | − | 0.0244220i | ||||||
\(171\) | −6.96819 | + | 7.38435i | −0.532871 | + | 0.564695i | ||||
\(172\) | 11.9326i | 0.909853i | ||||||||
\(173\) | −3.03157 | −0.230486 | −0.115243 | − | 0.993337i | \(-0.536765\pi\) | ||||
−0.115243 | + | 0.993337i | \(0.536765\pi\) | |||||||
\(174\) | −8.96797 | − | 3.56327i | −0.679860 | − | 0.270131i | ||||
\(175\) | 0.988494i | 0.0747231i | ||||||||
\(176\) | −0.387812 | + | 0.107191i | −0.0292325 | + | 0.00807979i | ||||
\(177\) | −1.42013 | + | 3.57416i | −0.106744 | + | 0.268650i | ||||
\(178\) | 2.21689i | 0.166163i | ||||||||
\(179\) | − | 9.79967i | − | 0.732462i | −0.930524 | − | 0.366231i | \(-0.880648\pi\) | ||
0.930524 | − | 0.366231i | \(-0.119352\pi\) | |||||||
\(180\) | 6.36382 | − | 6.74389i | 0.474331 | − | 0.502660i | ||||
\(181\) | −8.03062 | −0.596911 | −0.298456 | − | 0.954424i | \(-0.596471\pi\) | ||||
−0.298456 | + | 0.954424i | \(0.596471\pi\) | |||||||
\(182\) | −4.47072 | −0.331392 | ||||||||
\(183\) | 7.13706 | − | 17.9624i | 0.527587 | − | 1.32782i | ||||
\(184\) | − | 16.1342i | − | 1.18943i | ||||||
\(185\) | 18.8472i | 1.38567i | ||||||||
\(186\) | 7.54744 | + | 2.99885i | 0.553405 | + | 0.219886i | ||||
\(187\) | −0.484544 | + | 0.133927i | −0.0354334 | + | 0.00979370i | ||||
\(188\) | 0.305878i | 0.0223084i | ||||||||
\(189\) | 4.70965 | − | 2.19527i | 0.342576 | − | 0.159683i | ||||
\(190\) | 7.10981 | 0.515800 | ||||||||
\(191\) | − | 19.1519i | − | 1.38578i | −0.721042 | − | 0.692892i | \(-0.756336\pi\) | ||
0.721042 | − | 0.692892i | \(-0.243664\pi\) | |||||||
\(192\) | 7.49495 | + | 2.97799i | 0.540901 | + | 0.214918i | ||||
\(193\) | 0.410169i | 0.0295246i | 0.999891 | + | 0.0147623i | \(0.00469916\pi\) | ||||
−0.999891 | + | 0.0147623i | \(0.995301\pi\) | |||||||
\(194\) | 4.34450 | 0.311917 | ||||||||
\(195\) | −20.5136 | − | 8.15073i | −1.46901 | − | 0.583686i | ||||
\(196\) | 1.26303 | 0.0902166 | ||||||||
\(197\) | 14.6387 | 1.04297 | 0.521483 | − | 0.853262i | \(-0.325379\pi\) | ||||
0.521483 | + | 0.853262i | \(0.325379\pi\) | |||||||
\(198\) | 7.54962 | + | 3.99537i | 0.536528 | + | 0.283939i | ||||
\(199\) | −25.7403 | −1.82468 | −0.912342 | − | 0.409430i | \(-0.865728\pi\) | ||||
−0.912342 | + | 0.409430i | \(0.865728\pi\) | |||||||
\(200\) | −2.76898 | −0.195796 | ||||||||
\(201\) | −3.12601 | − | 1.24207i | −0.220492 | − | 0.0876088i | ||||
\(202\) | −2.55132 | −0.179510 | ||||||||
\(203\) | − | 6.48993i | − | 0.455504i | ||||||
\(204\) | −0.308154 | − | 0.122440i | −0.0215751 | − | 0.00857249i | ||||
\(205\) | 6.94685i | 0.485189i | ||||||||
\(206\) | −1.80889 | −0.126031 | ||||||||
\(207\) | 11.8590 | − | 12.5672i | 0.824255 | − | 0.873482i | ||||
\(208\) | 0.631778i | 0.0438059i | ||||||||
\(209\) | −2.99033 | − | 10.8190i | −0.206846 | − | 0.748362i | ||||
\(210\) | −3.38153 | − | 1.34359i | −0.233348 | − | 0.0927168i | ||||
\(211\) | 15.4265i | 1.06200i | 0.847371 | + | 0.531001i | \(0.178184\pi\) | ||||
−0.847371 | + | 0.531001i | \(0.821816\pi\) | |||||||
\(212\) | 14.3248i | 0.983834i | ||||||||
\(213\) | 4.84234 | − | 12.1871i | 0.331792 | − | 0.835047i | ||||
\(214\) | 13.3669 | 0.913743 | ||||||||
\(215\) | 23.1196 | 1.57674 | ||||||||
\(216\) | 6.14942 | + | 13.1927i | 0.418415 | + | 0.897650i | ||||
\(217\) | 5.46192i | 0.370779i | ||||||||
\(218\) | 3.60209i | 0.243964i | ||||||||
\(219\) | −2.23286 | + | 5.61962i | −0.150883 | + | 0.379739i | ||||
\(220\) | 2.73098 | + | 9.88061i | 0.184123 | + | 0.666150i | ||||
\(221\) | 0.789361i | 0.0530982i | ||||||||
\(222\) | −10.6425 | − | 4.22861i | −0.714276 | − | 0.283806i | ||||
\(223\) | −17.9823 | −1.20419 | −0.602094 | − | 0.798426i | \(-0.705667\pi\) | ||||
−0.602094 | + | 0.798426i | \(0.705667\pi\) | |||||||
\(224\) | 5.70656i | 0.381286i | ||||||||
\(225\) | −2.15681 | − | 2.03526i | −0.143787 | − | 0.135684i | ||||
\(226\) | − | 16.1087i | − | 1.07153i | ||||||
\(227\) | 13.2902 | 0.882102 | 0.441051 | − | 0.897482i | \(-0.354606\pi\) | ||||
0.441051 | + | 0.897482i | \(0.354606\pi\) | |||||||
\(228\) | 2.73385 | − | 6.88049i | 0.181053 | − | 0.455671i | ||||
\(229\) | 19.3202 | 1.27671 | 0.638356 | − | 0.769741i | \(-0.279615\pi\) | ||||
0.638356 | + | 0.769741i | \(0.279615\pi\) | |||||||
\(230\) | −12.1000 | −0.797850 | ||||||||
\(231\) | −0.622291 | + | 5.71076i | −0.0409438 | + | 0.375740i | ||||
\(232\) | 18.1797 | 1.19355 | ||||||||
\(233\) | −4.43936 | −0.290832 | −0.145416 | − | 0.989371i | \(-0.546452\pi\) | ||||
−0.145416 | + | 0.989371i | \(0.546452\pi\) | |||||||
\(234\) | 9.20497 | − | 9.75471i | 0.601747 | − | 0.637686i | ||||
\(235\) | 0.592642 | 0.0386597 | ||||||||
\(236\) | − | 2.80452i | − | 0.182558i | ||||||
\(237\) | −7.43888 | + | 18.7220i | −0.483207 | + | 1.21613i | ||||
\(238\) | 0.130121i | 0.00843449i | ||||||||
\(239\) | 1.39522 | 0.0902494 | 0.0451247 | − | 0.998981i | \(-0.485631\pi\) | ||||
0.0451247 | + | 0.998981i | \(0.485631\pi\) | |||||||
\(240\) | −0.189869 | + | 0.477860i | −0.0122560 | + | 0.0308457i | ||||
\(241\) | − | 15.3983i | − | 0.991894i | −0.868353 | − | 0.495947i | \(-0.834821\pi\) | ||
0.868353 | − | 0.495947i | \(-0.165179\pi\) | |||||||
\(242\) | −8.10272 | + | 4.84964i | −0.520863 | + | 0.311747i | ||||
\(243\) | −4.90702 | + | 14.7960i | −0.314785 | + | 0.949163i | ||||
\(244\) | 14.0945i | 0.902306i | ||||||||
\(245\) | − | 2.44714i | − | 0.156342i | ||||||
\(246\) | −3.92268 | − | 1.55861i | −0.250101 | − | 0.0993735i | ||||
\(247\) | −17.6249 | −1.12145 | ||||||||
\(248\) | −15.3000 | −0.971550 | ||||||||
\(249\) | 25.2184 | + | 10.0201i | 1.59815 | + | 0.634998i | ||||
\(250\) | − | 8.42734i | − | 0.532992i | ||||||
\(251\) | − | 20.8877i | − | 1.31842i | −0.751958 | − | 0.659211i | \(-0.770890\pi\) | ||
0.751958 | − | 0.659211i | \(-0.229110\pi\) | |||||||
\(252\) | −2.60052 | + | 2.75583i | −0.163817 | + | 0.173601i | ||||
\(253\) | 5.08917 | + | 18.4125i | 0.319953 | + | 1.15758i | ||||
\(254\) | − | 0.0933167i | − | 0.00585521i | ||||||
\(255\) | −0.237228 | + | 0.597051i | −0.0148558 | + | 0.0373888i | ||||
\(256\) | −15.6788 | −0.979927 | ||||||||
\(257\) | 7.35614i | 0.458863i | 0.973325 | + | 0.229432i | \(0.0736867\pi\) | ||||
−0.973325 | + | 0.229432i | \(0.926313\pi\) | |||||||
\(258\) | −5.18717 | + | 13.0550i | −0.322939 | + | 0.812766i | ||||
\(259\) | − | 7.70173i | − | 0.478562i | ||||||
\(260\) | 16.0963 | 0.998250 | ||||||||
\(261\) | 14.1605 | + | 13.3624i | 0.876510 | + | 0.827113i | ||||
\(262\) | −11.0115 | −0.680293 | ||||||||
\(263\) | 0.993296 | 0.0612493 | 0.0306246 | − | 0.999531i | \(-0.490250\pi\) | ||||
0.0306246 | + | 0.999531i | \(0.490250\pi\) | |||||||
\(264\) | −15.9970 | − | 1.74317i | −0.984549 | − | 0.107285i | ||||
\(265\) | 27.7546 | 1.70495 | ||||||||
\(266\) | −2.90535 | −0.178139 | ||||||||
\(267\) | 1.65160 | − | 4.15672i | 0.101076 | − | 0.254387i | ||||
\(268\) | 2.45287 | 0.149833 | ||||||||
\(269\) | − | 13.9465i | − | 0.850333i | −0.905115 | − | 0.425167i | \(-0.860215\pi\) | ||
0.905115 | − | 0.425167i | \(-0.139785\pi\) | |||||||
\(270\) | 9.89399 | − | 4.61181i | 0.602129 | − | 0.280666i | ||||
\(271\) | − | 31.1174i | − | 1.89025i | −0.326709 | − | 0.945125i | \(-0.605940\pi\) | ||
0.326709 | − | 0.945125i | \(-0.394060\pi\) | |||||||
\(272\) | 0.0183880 | 0.00111494 | ||||||||
\(273\) | 8.38268 | + | 3.33072i | 0.507343 | + | 0.201584i | ||||
\(274\) | − | 15.1876i | − | 0.917516i | ||||||
\(275\) | 3.15998 | − | 0.873412i | 0.190554 | − | 0.0526687i | ||||
\(276\) | −4.65266 | + | 11.7097i | −0.280057 | + | 0.704842i | ||||
\(277\) | − | 8.65778i | − | 0.520195i | −0.965582 | − | 0.260098i | \(-0.916245\pi\) | ||
0.965582 | − | 0.260098i | \(-0.0837548\pi\) | |||||||
\(278\) | − | 1.88536i | − | 0.113076i | ||||||
\(279\) | −11.9174 | − | 11.2458i | −0.713478 | − | 0.673268i | ||||
\(280\) | 6.85495 | 0.409662 | ||||||||
\(281\) | −26.3528 | −1.57208 | −0.786038 | − | 0.618178i | \(-0.787871\pi\) | ||||
−0.786038 | + | 0.618178i | \(0.787871\pi\) | |||||||
\(282\) | −0.132967 | + | 0.334648i | −0.00791806 | + | 0.0199280i | ||||
\(283\) | 26.5449i | 1.57793i | 0.614436 | + | 0.788966i | \(0.289383\pi\) | ||||
−0.614436 | + | 0.788966i | \(0.710617\pi\) | |||||||
\(284\) | 9.56280i | 0.567448i | ||||||||
\(285\) | −13.3310 | − | 5.29686i | −0.789662 | − | 0.313759i | ||||
\(286\) | 3.95023 | + | 14.2918i | 0.233582 | + | 0.845093i | ||||
\(287\) | − | 2.83876i | − | 0.167567i | ||||||
\(288\) | −12.4512 | − | 11.7495i | −0.733695 | − | 0.692346i | ||||
\(289\) | −16.9770 | −0.998649 | ||||||||
\(290\) | − | 13.6340i | − | 0.800616i | ||||||
\(291\) | −8.14602 | − | 3.23669i | −0.477528 | − | 0.189738i | ||||
\(292\) | − | 4.40952i | − | 0.258048i | ||||||
\(293\) | −32.2722 | −1.88536 | −0.942682 | − | 0.333694i | \(-0.891705\pi\) | ||||
−0.942682 | + | 0.333694i | \(0.891705\pi\) | |||||||
\(294\) | 1.38183 | + | 0.549047i | 0.0805899 | + | 0.0320211i | ||||
\(295\) | −5.43378 | −0.316367 | ||||||||
\(296\) | 21.5742 | 1.25397 | ||||||||
\(297\) | −11.1791 | − | 13.1159i | −0.648678 | − | 0.761063i | ||||
\(298\) | 6.72904 | 0.389803 | ||||||||
\(299\) | 29.9954 | 1.73468 | ||||||||
\(300\) | 2.00964 | + | 0.798497i | 0.116027 | + | 0.0461013i | ||||
\(301\) | −9.44759 | −0.544550 | ||||||||
\(302\) | 7.05342i | 0.405879i | ||||||||
\(303\) | 4.78378 | + | 1.90075i | 0.274821 | + | 0.109195i | ||||
\(304\) | 0.410569i | 0.0235477i | ||||||||
\(305\) | 27.3082 | 1.56366 | ||||||||
\(306\) | −0.283912 | − | 0.267912i | −0.0162302 | − | 0.0153155i | ||||
\(307\) | 1.71093i | 0.0976479i | 0.998807 | + | 0.0488240i | \(0.0155473\pi\) | ||||
−0.998807 | + | 0.0488240i | \(0.984453\pi\) | |||||||
\(308\) | −1.11599 | − | 4.03761i | −0.0635893 | − | 0.230064i | ||||
\(309\) | 3.39170 | + | 1.34763i | 0.192947 | + | 0.0766642i | ||||
\(310\) | 11.4744i | 0.651700i | ||||||||
\(311\) | − | 7.97842i | − | 0.452415i | −0.974079 | − | 0.226207i | \(-0.927367\pi\) | ||
0.974079 | − | 0.226207i | \(-0.0726327\pi\) | |||||||
\(312\) | −9.33004 | + | 23.4816i | −0.528210 | + | 1.32939i | ||||
\(313\) | 7.94955 | 0.449335 | 0.224668 | − | 0.974435i | \(-0.427870\pi\) | ||||
0.224668 | + | 0.974435i | \(0.427870\pi\) | |||||||
\(314\) | −8.10437 | −0.457356 | ||||||||
\(315\) | 5.33944 | + | 5.03853i | 0.300844 | + | 0.283889i | ||||
\(316\) | − | 14.6905i | − | 0.826406i | ||||||
\(317\) | 9.99277i | 0.561250i | 0.959817 | + | 0.280625i | \(0.0905417\pi\) | ||||
−0.959817 | + | 0.280625i | \(0.909458\pi\) | |||||||
\(318\) | −6.22708 | + | 15.6722i | −0.349197 | + | 0.878853i | ||||
\(319\) | −20.7468 | + | 5.73436i | −1.16160 | + | 0.321063i | ||||
\(320\) | 11.3946i | 0.636975i | ||||||||
\(321\) | −25.0632 | − | 9.95844i | −1.39889 | − | 0.555826i | ||||
\(322\) | 4.94454 | 0.275549 | ||||||||
\(323\) | 0.512977i | 0.0285428i | ||||||||
\(324\) | −0.658648 | − | 11.3482i | −0.0365915 | − | 0.630455i | ||||
\(325\) | − | 5.14786i | − | 0.285552i | ||||||
\(326\) | 6.98365 | 0.386788 | ||||||||
\(327\) | 2.68358 | − | 6.75399i | 0.148403 | − | 0.373496i | ||||
\(328\) | 7.95197 | 0.439074 | ||||||||
\(329\) | −0.242178 | −0.0133517 | ||||||||
\(330\) | −1.30731 | + | 11.9971i | −0.0719648 | + | 0.660419i | ||||
\(331\) | 33.5249 | 1.84270 | 0.921348 | − | 0.388738i | \(-0.127089\pi\) | ||||
0.921348 | + | 0.388738i | \(0.127089\pi\) | |||||||
\(332\) | −19.7880 | −1.08601 | ||||||||
\(333\) | 16.8045 | + | 15.8574i | 0.920881 | + | 0.868983i | ||||
\(334\) | −2.27264 | −0.124353 | ||||||||
\(335\) | − | 4.75247i | − | 0.259655i | ||||||
\(336\) | 0.0775883 | − | 0.195273i | 0.00423279 | − | 0.0106530i | ||||
\(337\) | − | 12.1898i | − | 0.664019i | −0.943276 | − | 0.332009i | \(-0.892273\pi\) | ||
0.943276 | − | 0.332009i | \(-0.107727\pi\) | |||||||
\(338\) | 12.1224 | 0.659374 | ||||||||
\(339\) | −12.0011 | + | 30.2041i | −0.651810 | + | 1.64046i | ||||
\(340\) | − | 0.468485i | − | 0.0254072i | ||||||
\(341\) | 17.4605 | − | 4.82603i | 0.945537 | − | 0.261344i | ||||
\(342\) | 5.98197 | − | 6.33923i | 0.323468 | − | 0.342786i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | − | 26.4647i | − | 1.42688i | ||||||
\(345\) | 22.6877 | + | 9.01458i | 1.22147 | + | 0.485329i | ||||
\(346\) | 2.60251 | 0.139912 | ||||||||
\(347\) | −2.32869 | −0.125011 | −0.0625054 | − | 0.998045i | \(-0.519909\pi\) | ||||
−0.0625054 | + | 0.998045i | \(0.519909\pi\) | |||||||
\(348\) | −13.1942 | − | 5.24251i | −0.707285 | − | 0.281028i | ||||
\(349\) | 18.9275i | 1.01317i | 0.862191 | + | 0.506584i | \(0.169092\pi\) | ||||
−0.862191 | + | 0.506584i | \(0.830908\pi\) | |||||||
\(350\) | − | 0.848591i | − | 0.0453591i | ||||||
\(351\) | −24.5268 | + | 11.4325i | −1.30915 | + | 0.610222i | ||||
\(352\) | 18.2425 | − | 5.04220i | 0.972330 | − | 0.268750i | ||||
\(353\) | 21.8920i | 1.16519i | 0.812761 | + | 0.582597i | \(0.197964\pi\) | ||||
−0.812761 | + | 0.582597i | \(0.802036\pi\) | |||||||
\(354\) | 1.21914 | − | 3.06830i | 0.0647965 | − | 0.163078i | ||||
\(355\) | 18.5280 | 0.983366 | ||||||||
\(356\) | 3.26163i | 0.172866i | ||||||||
\(357\) | 0.0969411 | − | 0.243979i | 0.00513066 | − | 0.0129127i | ||||
\(358\) | 8.41271i | 0.444626i | ||||||||
\(359\) | −27.6170 | −1.45757 | −0.728786 | − | 0.684742i | \(-0.759915\pi\) | ||||
−0.728786 | + | 0.684742i | \(0.759915\pi\) | |||||||
\(360\) | −14.1140 | + | 14.9569i | −0.743872 | + | 0.788298i | ||||
\(361\) | 7.54620 | 0.397168 | ||||||||
\(362\) | 6.89403 | 0.362342 | ||||||||
\(363\) | 18.8058 | − | 3.05658i | 0.987047 | − | 0.160429i | ||||
\(364\) | −6.57760 | −0.344760 | ||||||||
\(365\) | −8.54350 | −0.447187 | ||||||||
\(366\) | −6.12694 | + | 15.4202i | −0.320260 | + | 0.806025i | ||||
\(367\) | 21.0812 | 1.10043 | 0.550214 | − | 0.835024i | \(-0.314546\pi\) | ||||
0.550214 | + | 0.835024i | \(0.314546\pi\) | |||||||
\(368\) | − | 0.698736i | − | 0.0364241i | ||||||
\(369\) | 6.19393 | + | 5.84486i | 0.322443 | + | 0.304271i | ||||
\(370\) | − | 16.1797i | − | 0.841144i | ||||||
\(371\) | −11.3416 | −0.588828 | ||||||||
\(372\) | 11.1043 | + | 4.41209i | 0.575729 | + | 0.228756i | ||||
\(373\) | − | 31.1830i | − | 1.61459i | −0.590145 | − | 0.807297i | \(-0.700929\pi\) | ||
0.590145 | − | 0.807297i | \(-0.299071\pi\) | |||||||
\(374\) | 0.415966 | − | 0.114972i | 0.0215091 | − | 0.00594506i | ||||
\(375\) | −6.27843 | + | 15.8014i | −0.324217 | + | 0.815982i | ||||
\(376\) | − | 0.678390i | − | 0.0349853i | ||||||
\(377\) | 33.7981i | 1.74069i | ||||||||
\(378\) | −4.04308 | + | 1.88457i | −0.207954 | + | 0.0969319i | ||||
\(379\) | −11.2956 | −0.580219 | −0.290109 | − | 0.956994i | \(-0.593692\pi\) | ||||
−0.290109 | + | 0.956994i | \(0.593692\pi\) | |||||||
\(380\) | 10.4604 | 0.536607 | ||||||||
\(381\) | −0.0695216 | + | 0.174971i | −0.00356170 | + | 0.00896402i | ||||
\(382\) | 16.4413i | 0.841210i | ||||||||
\(383\) | 2.15474i | 0.110102i | 0.998484 | + | 0.0550511i | \(0.0175322\pi\) | ||||
−0.998484 | + | 0.0550511i | \(0.982468\pi\) | |||||||
\(384\) | 11.9369 | + | 4.74293i | 0.609153 | + | 0.242037i | ||||
\(385\) | −7.82293 | + | 2.16224i | −0.398693 | + | 0.110198i | ||||
\(386\) | − | 0.352118i | − | 0.0179223i | ||||||
\(387\) | 19.4521 | − | 20.6138i | 0.988805 | − | 1.04786i | ||||
\(388\) | 6.39190 | 0.324500 | ||||||||
\(389\) | − | 10.8798i | − | 0.551626i | −0.961211 | − | 0.275813i | \(-0.911053\pi\) | ||
0.961211 | − | 0.275813i | \(-0.0889471\pi\) | |||||||
\(390\) | 17.6103 | + | 6.99715i | 0.891731 | + | 0.354314i | ||||
\(391\) | − | 0.873021i | − | 0.0441506i | ||||||
\(392\) | −2.80121 | −0.141482 | ||||||||
\(393\) | 20.6468 | + | 8.20365i | 1.04149 | + | 0.413820i | ||||
\(394\) | −12.5669 | −0.633110 | ||||||||
\(395\) | −28.4630 | −1.43213 | ||||||||
\(396\) | 11.1075 | + | 5.87824i | 0.558172 | + | 0.295393i | ||||
\(397\) | −33.3972 | −1.67616 | −0.838079 | − | 0.545549i | \(-0.816321\pi\) | ||||
−0.838079 | + | 0.545549i | \(0.816321\pi\) | |||||||
\(398\) | 22.0973 | 1.10764 | ||||||||
\(399\) | 5.44759 | + | 2.16451i | 0.272721 | + | 0.108361i | ||||
\(400\) | −0.119918 | −0.00599592 | ||||||||
\(401\) | − | 2.29520i | − | 0.114617i | −0.998357 | − | 0.0573085i | \(-0.981748\pi\) | ||
0.998357 | − | 0.0573085i | \(-0.0182518\pi\) | |||||||
\(402\) | 2.68358 | + | 1.06628i | 0.133845 | + | 0.0531811i | ||||
\(403\) | − | 28.4445i | − | 1.41692i | ||||||
\(404\) | −3.75366 | −0.186752 | ||||||||
\(405\) | −21.9873 | + | 1.27614i | −1.09256 | + | 0.0634118i | ||||
\(406\) | 5.57140i | 0.276504i | ||||||||
\(407\) | −24.6206 | + | 6.80508i | −1.22040 | + | 0.337315i | ||||
\(408\) | 0.683437 | + | 0.271552i | 0.0338352 | + | 0.0134438i | ||||
\(409\) | − | 0.487637i | − | 0.0241121i | −0.999927 | − | 0.0120561i | \(-0.996162\pi\) | ||
0.999927 | − | 0.0120561i | \(-0.00383765\pi\) | |||||||
\(410\) | − | 5.96365i | − | 0.294524i | ||||||
\(411\) | −11.3149 | + | 28.4770i | −0.558121 | + | 1.40467i | ||||
\(412\) | −2.66135 | −0.131115 | ||||||||
\(413\) | 2.22046 | 0.109262 | ||||||||
\(414\) | −10.1805 | + | 10.7886i | −0.500347 | + | 0.530229i | ||||
\(415\) | 38.3395i | 1.88201i | ||||||||
\(416\) | − | 29.7186i | − | 1.45707i | ||||||
\(417\) | −1.40461 | + | 3.53508i | −0.0687838 | + | 0.173114i | ||||
\(418\) | 2.56711 | + | 9.28773i | 0.125561 | + | 0.454278i | ||||
\(419\) | − | 16.5555i | − | 0.808788i | −0.914585 | − | 0.404394i | \(-0.867483\pi\) | ||
0.914585 | − | 0.404394i | \(-0.132517\pi\) | |||||||
\(420\) | −4.97512 | − | 1.97678i | −0.242761 | − | 0.0964569i | ||||
\(421\) | −1.95797 | −0.0954255 | −0.0477127 | − | 0.998861i | \(-0.515193\pi\) | ||||
−0.0477127 | + | 0.998861i | \(0.515193\pi\) | |||||||
\(422\) | − | 13.2431i | − | 0.644666i | ||||||
\(423\) | 0.498631 | − | 0.528410i | 0.0242442 | − | 0.0256922i | ||||
\(424\) | − | 31.7703i | − | 1.54290i | ||||||
\(425\) | −0.149829 | −0.00726779 | ||||||||
\(426\) | −4.15700 | + | 10.4622i | −0.201407 | + | 0.506897i | ||||
\(427\) | −11.1592 | −0.540033 | ||||||||
\(428\) | 19.6662 | 0.950603 | ||||||||
\(429\) | 3.24076 | − | 29.7404i | 0.156465 | − | 1.43588i | ||||
\(430\) | −19.8474 | −0.957128 | ||||||||
\(431\) | 15.3532 | 0.739536 | 0.369768 | − | 0.929124i | \(-0.379437\pi\) | ||||
0.369768 | + | 0.929124i | \(0.379437\pi\) | |||||||
\(432\) | 0.266318 | + | 0.571347i | 0.0128132 | + | 0.0274889i | ||||
\(433\) | 9.06597 | 0.435683 | 0.217841 | − | 0.975984i | \(-0.430098\pi\) | ||||
0.217841 | + | 0.975984i | \(0.430098\pi\) | |||||||
\(434\) | − | 4.68888i | − | 0.225074i | ||||||
\(435\) | −10.1574 | + | 25.5640i | −0.487011 | + | 1.22570i | ||||
\(436\) | 5.29962i | 0.253806i | ||||||||
\(437\) | 19.4929 | 0.932472 | ||||||||
\(438\) | 1.91684 | − | 4.82427i | 0.0915903 | − | 0.230512i | ||||
\(439\) | − | 3.83456i | − | 0.183014i | −0.995804 | − | 0.0915069i | \(-0.970832\pi\) | ||
0.995804 | − | 0.0915069i | \(-0.0291683\pi\) | |||||||
\(440\) | −6.05689 | − | 21.9137i | −0.288751 | − | 1.04469i | ||||
\(441\) | −2.18191 | − | 2.05895i | −0.103901 | − | 0.0980451i | ||||
\(442\) | − | 0.677642i | − | 0.0322321i | ||||||
\(443\) | 7.53453i | 0.357976i | 0.983851 | + | 0.178988i | \(0.0572824\pi\) | ||||
−0.983851 | + | 0.178988i | \(0.942718\pi\) | |||||||
\(444\) | −15.6579 | − | 6.22139i | −0.743090 | − | 0.295254i | ||||
\(445\) | 6.31945 | 0.299571 | ||||||||
\(446\) | 15.4373 | 0.730976 | ||||||||
\(447\) | −12.6171 | − | 5.01319i | −0.596768 | − | 0.237116i | ||||
\(448\) | − | 4.65628i | − | 0.219988i | ||||||
\(449\) | − | 11.0420i | − | 0.521102i | −0.965460 | − | 0.260551i | \(-0.916096\pi\) | ||
0.965460 | − | 0.260551i | \(-0.0839042\pi\) | |||||||
\(450\) | 1.85155 | + | 1.74720i | 0.0872830 | + | 0.0823640i | ||||
\(451\) | −9.07485 | + | 2.50827i | −0.427318 | + | 0.118110i | ||||
\(452\) | − | 23.7001i | − | 1.11476i | ||||||
\(453\) | 5.25485 | − | 13.2253i | 0.246895 | − | 0.621379i | ||||
\(454\) | −11.4092 | −0.535462 | ||||||||
\(455\) | 12.7442i | 0.597456i | ||||||||
\(456\) | −6.06325 | + | 15.2599i | −0.283938 | + | 0.714608i | ||||
\(457\) | 6.31005i | 0.295172i | 0.989049 | + | 0.147586i | \(0.0471503\pi\) | ||||
−0.989049 | + | 0.147586i | \(0.952850\pi\) | |||||||
\(458\) | −16.5857 | −0.775001 | ||||||||
\(459\) | 0.332745 | + | 0.713857i | 0.0155312 | + | 0.0333200i | ||||
\(460\) | −17.8023 | −0.830034 | ||||||||
\(461\) | 3.42269 | 0.159411 | 0.0797053 | − | 0.996818i | \(-0.474602\pi\) | ||||
0.0797053 | + | 0.996818i | \(0.474602\pi\) | |||||||
\(462\) | 0.534218 | − | 4.90250i | 0.0248541 | − | 0.228085i | ||||
\(463\) | 4.98281 | 0.231571 | 0.115785 | − | 0.993274i | \(-0.463062\pi\) | ||||
0.115785 | + | 0.993274i | \(0.463062\pi\) | |||||||
\(464\) | 0.787320 | 0.0365504 | ||||||||
\(465\) | 8.54848 | − | 21.5146i | 0.396426 | − | 0.997717i | ||||
\(466\) | 3.81105 | 0.176543 | ||||||||
\(467\) | 1.41768i | 0.0656026i | 0.999462 | + | 0.0328013i | \(0.0104429\pi\) | ||||
−0.999462 | + | 0.0328013i | \(0.989557\pi\) | |||||||
\(468\) | 13.5429 | − | 14.3517i | 0.626022 | − | 0.663409i | ||||
\(469\) | 1.94205i | 0.0896757i | ||||||||
\(470\) | −0.508765 | −0.0234676 | ||||||||
\(471\) | 15.1958 | + | 6.03782i | 0.700188 | + | 0.278208i | ||||
\(472\) | 6.21998i | 0.286298i | ||||||||
\(473\) | 8.34769 | + | 30.2017i | 0.383827 | + | 1.38868i | ||||
\(474\) | 6.38604 | − | 16.0723i | 0.293321 | − | 0.738223i | ||||
\(475\) | − | 3.34541i | − | 0.153498i | ||||||
\(476\) | 0.191442i | 0.00877473i | ||||||||
\(477\) | 23.3518 | − | 24.7464i | 1.06921 | − | 1.13306i | ||||
\(478\) | −1.19775 | −0.0547840 | ||||||||
\(479\) | 23.8833 | 1.09126 | 0.545628 | − | 0.838028i | \(-0.316291\pi\) | ||||
0.545628 | + | 0.838028i | \(0.316291\pi\) | |||||||
\(480\) | 8.93138 | − | 22.4783i | 0.407660 | − | 1.02599i | ||||
\(481\) | 40.1089i | 1.82881i | ||||||||
\(482\) | 13.2190i | 0.602108i | ||||||||
\(483\) | −9.27111 | − | 3.68372i | −0.421850 | − | 0.167615i | ||||
\(484\) | −11.9212 | + | 7.13509i | −0.541874 | + | 0.324322i | ||||
\(485\) | − | 12.3844i | − | 0.562346i | ||||||
\(486\) | 4.21252 | − | 12.7019i | 0.191084 | − | 0.576169i | ||||
\(487\) | 24.6191 | 1.11560 | 0.557799 | − | 0.829976i | \(-0.311646\pi\) | ||||
0.557799 | + | 0.829976i | \(0.311646\pi\) | |||||||
\(488\) | − | 31.2594i | − | 1.41505i | ||||||
\(489\) | −13.0945 | − | 5.20287i | −0.592152 | − | 0.235282i | ||||
\(490\) | 2.10079i | 0.0949041i | ||||||||
\(491\) | −4.71511 | −0.212790 | −0.106395 | − | 0.994324i | \(-0.533931\pi\) | ||||
−0.106395 | + | 0.994324i | \(0.533931\pi\) | |||||||
\(492\) | −5.77130 | − | 2.29313i | −0.260190 | − | 0.103382i | ||||
\(493\) | 0.983700 | 0.0443036 | ||||||||
\(494\) | 15.1305 | 0.680751 | ||||||||
\(495\) | 11.3892 | − | 21.5209i | 0.511905 | − | 0.967291i | ||||
\(496\) | −0.662608 | −0.0297520 | ||||||||
\(497\) | −7.57130 | −0.339619 | ||||||||
\(498\) | −21.6492 | − | 8.60194i | −0.970123 | − | 0.385462i | ||||
\(499\) | 13.8960 | 0.622070 | 0.311035 | − | 0.950399i | \(-0.399324\pi\) | ||||
0.311035 | + | 0.950399i | \(0.399324\pi\) | |||||||
\(500\) | − | 12.3988i | − | 0.554492i | ||||||
\(501\) | 4.26124 | + | 1.69313i | 0.190378 | + | 0.0756436i | ||||
\(502\) | 17.9315i | 0.800321i | ||||||||
\(503\) | 21.4181 | 0.954987 | 0.477494 | − | 0.878635i | \(-0.341545\pi\) | ||||
0.477494 | + | 0.878635i | \(0.341545\pi\) | |||||||
\(504\) | 5.76754 | − | 6.11199i | 0.256907 | − | 0.272250i | ||||
\(505\) | 7.27277i | 0.323634i | ||||||||
\(506\) | −4.36889 | − | 15.8065i | −0.194221 | − | 0.702686i | ||||
\(507\) | −22.7298 | − | 9.03131i | −1.00947 | − | 0.401095i | ||||
\(508\) | − | 0.137293i | − | 0.00609141i | ||||||
\(509\) | − | 1.52865i | − | 0.0677564i | −0.999426 | − | 0.0338782i | \(-0.989214\pi\) | ||
0.999426 | − | 0.0338782i | \(-0.0107858\pi\) | |||||||
\(510\) | 0.203653 | − | 0.512550i | 0.00901791 | − | 0.0226961i | ||||
\(511\) | 3.49122 | 0.154442 | ||||||||
\(512\) | −1.37194 | −0.0606317 | ||||||||
\(513\) | −15.9391 | + | 7.42956i | −0.703727 | + | 0.328023i | ||||
\(514\) | − | 6.31501i | − | 0.278543i | ||||||
\(515\) | 5.15639i | 0.227218i | ||||||||
\(516\) | −7.63169 | + | 19.2073i | −0.335966 | + | 0.845553i | ||||
\(517\) | 0.213983 | + | 0.774184i | 0.00941095 | + | 0.0340486i | ||||
\(518\) | 6.61169i | 0.290501i | ||||||||
\(519\) | −4.87975 | − | 1.93889i | −0.214197 | − | 0.0851077i | ||||
\(520\) | −35.6991 | −1.56551 | ||||||||
\(521\) | 14.5996i | 0.639621i | 0.947481 | + | 0.319811i | \(0.103619\pi\) | ||||
−0.947481 | + | 0.319811i | \(0.896381\pi\) | |||||||
\(522\) | −12.1563 | − | 11.4712i | −0.532067 | − | 0.502081i | ||||
\(523\) | 7.63979i | 0.334065i | 0.985951 | + | 0.167032i | \(0.0534184\pi\) | ||||
−0.985951 | + | 0.167032i | \(0.946582\pi\) | |||||||
\(524\) | −16.2008 | −0.707736 | ||||||||
\(525\) | −0.632207 | + | 1.59112i | −0.0275918 | + | 0.0694424i | ||||
\(526\) | −0.852713 | −0.0371801 | ||||||||
\(527\) | −0.827881 | −0.0360631 | ||||||||
\(528\) | −0.692796 | − | 0.0754928i | −0.0301501 | − | 0.00328540i | ||||
\(529\) | −10.1744 | −0.442367 | ||||||||
\(530\) | −23.8264 | −1.03495 | ||||||||
\(531\) | −4.57181 | + | 4.84486i | −0.198400 | + | 0.210249i | ||||
\(532\) | −4.27454 | −0.185325 | ||||||||
\(533\) | 14.7837i | 0.640351i | ||||||||
\(534\) | −1.41785 | + | 3.56841i | −0.0613563 | + | 0.154420i | ||||
\(535\) | − | 38.1035i | − | 1.64736i | ||||||
\(536\) | −5.44010 | −0.234976 | ||||||||
\(537\) | 6.26753 | − | 15.7740i | 0.270464 | − | 0.680698i | ||||
\(538\) | 11.9726i | 0.516177i | ||||||||
\(539\) | 3.19676 | − | 0.883578i | 0.137694 | − | 0.0380584i | ||||
\(540\) | 14.5567 | − | 6.78518i | 0.626419 | − | 0.291988i | ||||
\(541\) | − | 23.4249i | − | 1.00711i | −0.863962 | − | 0.503557i | \(-0.832025\pi\) | ||
0.863962 | − | 0.503557i | \(-0.167975\pi\) | |||||||
\(542\) | 26.7133i | 1.14744i | ||||||||
\(543\) | −12.9264 | − | 5.13611i | −0.554727 | − | 0.220411i | ||||
\(544\) | −0.864963 | −0.0370850 | ||||||||
\(545\) | 10.2681 | 0.439836 | ||||||||
\(546\) | −7.19627 | − | 2.85932i | −0.307972 | − | 0.122367i | ||||
\(547\) | 14.5891i | 0.623785i | 0.950117 | + | 0.311893i | \(0.100963\pi\) | ||||
−0.950117 | + | 0.311893i | \(0.899037\pi\) | |||||||
\(548\) | − | 22.3449i | − | 0.954528i | ||||||
\(549\) | 22.9763 | − | 24.3485i | 0.980603 | − | 1.03917i | ||||
\(550\) | −2.71274 | + | 0.749797i | −0.115672 | + | 0.0319714i | ||||
\(551\) | 21.9642i | 0.935705i | ||||||||
\(552\) | 10.3189 | − | 25.9703i | 0.439201 | − | 1.10537i | ||||
\(553\) | 11.6311 | 0.494607 | ||||||||
\(554\) | 7.43243i | 0.315774i | ||||||||
\(555\) | −12.0540 | + | 30.3373i | −0.511665 | + | 1.28775i | ||||
\(556\) | − | 2.77385i | − | 0.117638i | ||||||
\(557\) | −1.76892 | −0.0749516 | −0.0374758 | − | 0.999298i | \(-0.511932\pi\) | ||||
−0.0374758 | + | 0.999298i | \(0.511932\pi\) | |||||||
\(558\) | 10.2307 | + | 9.65416i | 0.433101 | + | 0.408693i | ||||
\(559\) | 49.2010 | 2.08098 | ||||||||
\(560\) | 0.296873 | 0.0125452 | ||||||||
\(561\) | −0.865599 | − | 0.0943228i | −0.0365456 | − | 0.00398231i | ||||
\(562\) | 22.6231 | 0.954296 | ||||||||
\(563\) | −34.9625 | −1.47349 | −0.736747 | − | 0.676168i | \(-0.763639\pi\) | ||||
−0.736747 | + | 0.676168i | \(0.763639\pi\) | |||||||
\(564\) | −0.195629 | + | 0.492355i | −0.00823747 | + | 0.0207319i | ||||
\(565\) | −45.9193 | −1.93184 | ||||||||
\(566\) | − | 22.7880i | − | 0.957851i | ||||||
\(567\) | 8.98488 | − | 0.521482i | 0.377329 | − | 0.0219002i | ||||
\(568\) | − | 21.2088i | − | 0.889902i | ||||||
\(569\) | −27.1063 | −1.13636 | −0.568178 | − | 0.822906i | \(-0.692351\pi\) | ||||
−0.568178 | + | 0.822906i | \(0.692351\pi\) | |||||||
\(570\) | 11.4443 | + | 4.54719i | 0.479348 | + | 0.190461i | ||||
\(571\) | − | 7.51053i | − | 0.314306i | −0.987574 | − | 0.157153i | \(-0.949768\pi\) | ||
0.987574 | − | 0.157153i | \(-0.0502316\pi\) | |||||||
\(572\) | 5.81182 | + | 21.0270i | 0.243005 | + | 0.879184i | ||||
\(573\) | 12.2489 | − | 30.8278i | 0.511705 | − | 1.28785i | ||||
\(574\) | 2.43699i | 0.101718i | ||||||||
\(575\) | 5.69346i | 0.237434i | ||||||||
\(576\) | 10.1596 | + | 9.58702i | 0.423316 | + | 0.399459i | ||||
\(577\) | 38.1511 | 1.58825 | 0.794126 | − | 0.607753i | \(-0.207929\pi\) | ||||
0.794126 | + | 0.607753i | \(0.207929\pi\) | |||||||
\(578\) | 14.5742 | 0.606208 | ||||||||
\(579\) | −0.262330 | + | 0.660227i | −0.0109021 | + | 0.0274381i | ||||
\(580\) | − | 20.0592i | − | 0.832912i | ||||||
\(581\) | − | 15.6670i | − | 0.649979i | ||||||
\(582\) | 6.99310 | + | 2.77859i | 0.289873 | + | 0.115176i | ||||
\(583\) | 10.0212 | + | 36.2565i | 0.415036 | + | 1.50159i | ||||
\(584\) | 9.77964i | 0.404684i | ||||||||
\(585\) | −27.8067 | − | 26.2396i | −1.14966 | − | 1.08487i | ||||
\(586\) | 27.7047 | 1.14447 | ||||||||
\(587\) | 21.8338i | 0.901177i | 0.892732 | + | 0.450589i | \(0.148786\pi\) | ||||
−0.892732 | + | 0.450589i | \(0.851214\pi\) | |||||||
\(588\) | 2.03303 | + | 0.807792i | 0.0838409 | + | 0.0333128i | ||||
\(589\) | − | 18.4850i | − | 0.761662i | ||||||
\(590\) | 4.66473 | 0.192044 | ||||||||
\(591\) | 23.5631 | + | 9.36241i | 0.969258 | + | 0.385118i | ||||
\(592\) | 0.934329 | 0.0384007 | ||||||||
\(593\) | −41.3070 | −1.69627 | −0.848137 | − | 0.529777i | \(-0.822276\pi\) | ||||
−0.848137 | + | 0.529777i | \(0.822276\pi\) | |||||||
\(594\) | 9.59691 | + | 11.2596i | 0.393766 | + | 0.461987i | ||||
\(595\) | 0.370921 | 0.0152063 | ||||||||
\(596\) | 9.90019 | 0.405528 | ||||||||
\(597\) | −41.4328 | − | 16.4626i | −1.69573 | − | 0.673770i | ||||
\(598\) | −25.7501 | −1.05300 | ||||||||
\(599\) | 19.0163i | 0.776986i | 0.921452 | + | 0.388493i | \(0.127004\pi\) | ||||
−0.921452 | + | 0.388493i | \(0.872996\pi\) | |||||||
\(600\) | −4.45707 | − | 1.77094i | −0.181959 | − | 0.0722985i | ||||
\(601\) | 27.9294i | 1.13927i | 0.821899 | + | 0.569633i | \(0.192914\pi\) | ||||
−0.821899 | + | 0.569633i | \(0.807086\pi\) | |||||||
\(602\) | 8.11046 | 0.330558 | ||||||||
\(603\) | −4.23739 | − | 3.99858i | −0.172560 | − | 0.162835i | ||||
\(604\) | 10.3774i | 0.422252i | ||||||||
\(605\) | 13.8243 | + | 23.0975i | 0.562039 | + | 0.939048i | ||||
\(606\) | −4.10672 | − | 1.63174i | −0.166824 | − | 0.0662848i | ||||
\(607\) | − | 45.3889i | − | 1.84228i | −0.389231 | − | 0.921140i | \(-0.627259\pi\) | ||
0.389231 | − | 0.921140i | \(-0.372741\pi\) | |||||||
\(608\) | − | 19.3130i | − | 0.783245i | ||||||
\(609\) | 4.15073 | − | 10.4465i | 0.168196 | − | 0.423313i | ||||
\(610\) | −23.4432 | −0.949189 | ||||||||
\(611\) | 1.26121 | 0.0510230 | ||||||||
\(612\) | −0.417710 | − | 0.394169i | −0.0168849 | − | 0.0159333i | ||||
\(613\) | 21.9987i | 0.888521i | 0.895898 | + | 0.444260i | \(0.146533\pi\) | ||||
−0.895898 | + | 0.444260i | \(0.853467\pi\) | |||||||
\(614\) | − | 1.46878i | − | 0.0592751i | ||||||
\(615\) | −4.44296 | + | 11.1820i | −0.179158 | + | 0.450900i | ||||
\(616\) | 2.47509 | + | 8.95480i | 0.0997241 | + | 0.360799i | ||||
\(617\) | − | 9.86433i | − | 0.397123i | −0.980088 | − | 0.198562i | \(-0.936373\pi\) | ||
0.980088 | − | 0.198562i | \(-0.0636270\pi\) | |||||||
\(618\) | −2.91167 | − | 1.15690i | −0.117124 | − | 0.0465374i | ||||
\(619\) | 28.5296 | 1.14670 | 0.573351 | − | 0.819310i | \(-0.305643\pi\) | ||||
0.573351 | + | 0.819310i | \(0.305643\pi\) | |||||||
\(620\) | 16.8818i | 0.677989i | ||||||||
\(621\) | 27.1263 | − | 12.6442i | 1.08854 | − | 0.507393i | ||||
\(622\) | 6.84922i | 0.274629i | ||||||||
\(623\) | −2.58238 | −0.103461 | ||||||||
\(624\) | −0.404063 | + | 1.01694i | −0.0161755 | + | 0.0407101i | ||||
\(625\) | −28.9654 | −1.15861 | ||||||||
\(626\) | −6.82444 | −0.272760 | ||||||||
\(627\) | 2.10605 | − | 19.3272i | 0.0841075 | − | 0.771853i | ||||
\(628\) | −11.9237 | −0.475806 | ||||||||
\(629\) | 1.16738 | 0.0465464 | ||||||||
\(630\) | −4.58374 | − | 4.32542i | −0.182621 | − | 0.172329i | ||||
\(631\) | 4.84996 | 0.193074 | 0.0965369 | − | 0.995329i | \(-0.469223\pi\) | ||||
0.0965369 | + | 0.995329i | \(0.469223\pi\) | |||||||
\(632\) | 32.5813i | 1.29601i | ||||||||
\(633\) | −9.86624 | + | 24.8311i | −0.392148 | + | 0.986949i | ||||
\(634\) | − | 8.57848i | − | 0.340695i | ||||||
\(635\) | −0.266007 | −0.0105562 | ||||||||
\(636\) | −9.16167 | + | 23.0579i | −0.363284 | + | 0.914305i | ||||
\(637\) | − | 5.20778i | − | 0.206340i | ||||||
\(638\) | 17.8104 | − | 4.92277i | 0.705122 | − | 0.194894i | ||||
\(639\) | 15.5889 | − | 16.5199i | 0.616687 | − | 0.653518i | ||||
\(640\) | 18.1477i | 0.717349i | ||||||||
\(641\) | − | 31.4366i | − | 1.24167i | −0.783940 | − | 0.620836i | \(-0.786793\pi\) | ||
0.783940 | − | 0.620836i | \(-0.213207\pi\) | |||||||
\(642\) | 21.5160 | + | 8.54901i | 0.849167 | + | 0.337402i | ||||
\(643\) | −17.5992 | −0.694045 | −0.347023 | − | 0.937857i | \(-0.612807\pi\) | ||||
−0.347023 | + | 0.937857i | \(0.612807\pi\) | |||||||
\(644\) | 7.27472 | 0.286664 | ||||||||
\(645\) | 37.2143 | + | 14.7865i | 1.46531 | + | 0.582217i | ||||
\(646\) | − | 0.440374i | − | 0.0173263i | ||||||
\(647\) | − | 5.27548i | − | 0.207400i | −0.994609 | − | 0.103700i | \(-0.966932\pi\) | ||
0.994609 | − | 0.103700i | \(-0.0330682\pi\) | |||||||
\(648\) | 1.46078 | + | 25.1685i | 0.0573848 | + | 0.988713i | ||||
\(649\) | −1.96195 | − | 7.09829i | −0.0770134 | − | 0.278632i | ||||
\(650\) | 4.41928i | 0.173338i | ||||||||
\(651\) | −3.49325 | + | 8.79175i | −0.136911 | + | 0.344576i | ||||
\(652\) | 10.2748 | 0.402391 | ||||||||
\(653\) | 20.2731i | 0.793348i | 0.917959 | + | 0.396674i | \(0.129836\pi\) | ||||
−0.917959 | + | 0.396674i | \(0.870164\pi\) | |||||||
\(654\) | −2.30377 | + | 5.79809i | −0.0900846 | + | 0.226723i | ||||
\(655\) | 31.3893i | 1.22648i | ||||||||
\(656\) | 0.344382 | 0.0134459 | ||||||||
\(657\) | −7.18823 | + | 7.61753i | −0.280440 | + | 0.297188i | ||||
\(658\) | 0.207902 | 0.00810485 | ||||||||
\(659\) | −4.30970 | −0.167882 | −0.0839410 | − | 0.996471i | \(-0.526751\pi\) | ||||
−0.0839410 | + | 0.996471i | \(0.526751\pi\) | |||||||
\(660\) | −1.92339 | + | 17.6509i | −0.0748678 | + | 0.687060i | ||||
\(661\) | −15.5035 | −0.603018 | −0.301509 | − | 0.953463i | \(-0.597490\pi\) | ||||
−0.301509 | + | 0.953463i | \(0.597490\pi\) | |||||||
\(662\) | −28.7801 | −1.11857 | ||||||||
\(663\) | −0.504848 | + | 1.27059i | −0.0196067 | + | 0.0493457i | ||||
\(664\) | 43.8867 | 1.70313 | ||||||||
\(665\) | 8.28197i | 0.321161i | ||||||||
\(666\) | −14.4261 | − | 13.6131i | −0.559001 | − | 0.527497i | ||||
\(667\) | − | 37.3802i | − | 1.44737i | ||||||
\(668\) | −3.34365 | −0.129370 | ||||||||
\(669\) | −28.9452 | − | 11.5009i | −1.11909 | − | 0.444650i | ||||
\(670\) | 4.07985i | 0.157618i | ||||||||
\(671\) | 9.86006 | + | 35.6734i | 0.380643 | + | 1.37716i | ||||
\(672\) | −3.64972 | + | 9.18554i | −0.140791 | + | 0.354340i | ||||
\(673\) | − | 43.5361i | − | 1.67819i | −0.543982 | − | 0.839097i | \(-0.683084\pi\) | ||
0.543982 | − | 0.839097i | \(-0.316916\pi\) | |||||||
\(674\) | 10.4645i | 0.403079i | ||||||||
\(675\) | −2.17001 | − | 4.65546i | −0.0835239 | − | 0.179189i | ||||
\(676\) | 17.8353 | 0.685973 | ||||||||
\(677\) | −45.1287 | −1.73444 | −0.867219 | − | 0.497928i | \(-0.834094\pi\) | ||||
−0.867219 | + | 0.497928i | \(0.834094\pi\) | |||||||
\(678\) | 10.3026 | − | 25.9293i | 0.395668 | − | 0.995808i | ||||
\(679\) | 5.06076i | 0.194214i | ||||||||
\(680\) | 1.03903i | 0.0398449i | ||||||||
\(681\) | 21.3925 | + | 8.49996i | 0.819763 | + | 0.325719i | ||||
\(682\) | −14.9892 | + | 4.14300i | −0.573968 | + | 0.158644i | ||||
\(683\) | 15.5761i | 0.596004i | 0.954565 | + | 0.298002i | \(0.0963202\pi\) | ||||
−0.954565 | + | 0.298002i | \(0.903680\pi\) | |||||||
\(684\) | 8.80104 | − | 9.32667i | 0.336516 | − | 0.356614i | ||||
\(685\) | −43.2936 | −1.65416 | ||||||||
\(686\) | − | 0.858468i | − | 0.0327765i | ||||||
\(687\) | 31.0986 | + | 12.3565i | 1.18649 | + | 0.471430i | ||||
\(688\) | − | 1.14613i | − | 0.0436957i | ||||||
\(689\) | 59.0647 | 2.25019 | ||||||||
\(690\) | −19.4767 | − | 7.73873i | −0.741465 | − | 0.294609i | ||||
\(691\) | 4.54246 | 0.172803 | 0.0864016 | − | 0.996260i | \(-0.472463\pi\) | ||||
0.0864016 | + | 0.996260i | \(0.472463\pi\) | |||||||
\(692\) | 3.82897 | 0.145556 | ||||||||
\(693\) | −4.65407 | + | 8.79429i | −0.176794 | + | 0.334068i | ||||
\(694\) | 1.99911 | 0.0758851 | ||||||||
\(695\) | −5.37438 | −0.203862 | ||||||||
\(696\) | 29.2628 | + | 11.6271i | 1.10920 | + | 0.440723i | ||||
\(697\) | 0.430281 | 0.0162980 | ||||||||
\(698\) | − | 16.2487i | − | 0.615022i | ||||||
\(699\) | −7.14579 | − | 2.83926i | −0.270279 | − | 0.107391i | ||||
\(700\) | − | 1.24850i | − | 0.0471889i | ||||||
\(701\) | 35.4949 | 1.34062 | 0.670312 | − | 0.742080i | \(-0.266160\pi\) | ||||
0.670312 | + | 0.742080i | \(0.266160\pi\) | |||||||
\(702\) | 21.0555 | − | 9.81444i | 0.794689 | − | 0.370422i | ||||
\(703\) | 26.0653i | 0.983072i | ||||||||
\(704\) | −14.8850 | + | 4.11418i | −0.561000 | + | 0.155059i | ||||
\(705\) | 0.953944 | + | 0.379034i | 0.0359276 | + | 0.0142752i | ||||
\(706\) | − | 18.7936i | − | 0.707307i | ||||||
\(707\) | − | 2.97195i | − | 0.111772i | ||||||
\(708\) | 1.79367 | − | 4.51427i | 0.0674103 | − | 0.169657i | ||||
\(709\) | −39.3543 | −1.47798 | −0.738990 | − | 0.673716i | \(-0.764697\pi\) | ||||
−0.738990 | + | 0.673716i | \(0.764697\pi\) | |||||||
\(710\) | −15.9057 | −0.596932 | ||||||||
\(711\) | −23.9479 | + | 25.3781i | −0.898117 | + | 0.951755i | ||||
\(712\) | − | 7.23379i | − | 0.271098i | ||||||
\(713\) | 31.4591i | 1.17815i | ||||||||
\(714\) | −0.0832208 | + | 0.209448i | −0.00311446 | + | 0.00783841i | ||||
\(715\) | 40.7401 | − | 11.2605i | 1.52359 | − | 0.421118i | ||||
\(716\) | 12.3773i | 0.462562i | ||||||||
\(717\) | 2.24581 | + | 0.892336i | 0.0838714 | + | 0.0333249i | ||||
\(718\) | 23.7083 | 0.884788 | ||||||||
\(719\) | 24.1882i | 0.902068i | 0.892507 | + | 0.451034i | \(0.148945\pi\) | ||||
−0.892507 | + | 0.451034i | \(0.851055\pi\) | |||||||
\(720\) | −0.611245 | + | 0.647750i | −0.0227798 | + | 0.0241402i | ||||
\(721\) | − | 2.10711i | − | 0.0784729i | ||||||
\(722\) | −6.47817 | −0.241093 | ||||||||
\(723\) | 9.84824 | − | 24.7859i | 0.366260 | − | 0.921796i | ||||
\(724\) | 10.1429 | 0.376959 | ||||||||
\(725\) | −6.41526 | −0.238257 | ||||||||
\(726\) | −16.1442 | + | 2.62398i | −0.599166 | + | 0.0973850i | ||||
\(727\) | −27.5666 | −1.02239 | −0.511195 | − | 0.859465i | \(-0.670797\pi\) | ||||
−0.511195 | + | 0.859465i | \(0.670797\pi\) | |||||||
\(728\) | 14.5881 | 0.540671 | ||||||||
\(729\) | −17.3616 | + | 20.6779i | −0.643021 | + | 0.765849i | ||||
\(730\) | 7.33433 | 0.271456 | ||||||||
\(731\) | − | 1.43200i | − | 0.0529646i | ||||||
\(732\) | −9.01434 | + | 22.6871i | −0.333180 | + | 0.838539i | ||||
\(733\) | 20.8387i | 0.769695i | 0.922980 | + | 0.384848i | \(0.125746\pi\) | ||||
−0.922980 | + | 0.384848i | \(0.874254\pi\) | |||||||
\(734\) | −18.0975 | −0.667991 | ||||||||
\(735\) | 1.56511 | − | 3.93903i | 0.0577298 | − | 0.145293i | ||||
\(736\) | 32.8682i | 1.21154i | ||||||||
\(737\) | 6.20828 | − | 1.71596i | 0.228685 | − | 0.0632080i | ||||
\(738\) | −5.31729 | − | 5.01762i | −0.195732 | − | 0.184701i | ||||
\(739\) | 39.4845i | 1.45246i | 0.687452 | + | 0.726230i | \(0.258729\pi\) | ||||
−0.687452 | + | 0.726230i | \(0.741271\pi\) | |||||||
\(740\) | − | 23.8046i | − | 0.875076i | ||||||
\(741\) | −28.3699 | − | 11.2723i | −1.04219 | − | 0.414098i | ||||
\(742\) | 9.73643 | 0.357436 | ||||||||
\(743\) | −18.3829 | −0.674405 | −0.337202 | − | 0.941432i | \(-0.609481\pi\) | ||||
−0.337202 | + | 0.941432i | \(0.609481\pi\) | |||||||
\(744\) | −24.6275 | − | 9.78534i | −0.902889 | − | 0.358748i | ||||
\(745\) | − | 19.1817i | − | 0.702764i | ||||||
\(746\) | 26.7696i | 0.980105i | ||||||||
\(747\) | 34.1841 | + | 32.2576i | 1.25073 | + | 1.18024i | ||||
\(748\) | 0.611994 | − | 0.169154i | 0.0223767 | − | 0.00618488i | ||||
\(749\) | 15.5706i | 0.568939i | ||||||||
\(750\) | 5.38984 | − | 13.5650i | 0.196809 | − | 0.495325i | ||||
\(751\) | −45.7526 | −1.66954 | −0.834768 | − | 0.550601i | \(-0.814399\pi\) | ||||
−0.834768 | + | 0.550601i | \(0.814399\pi\) | |||||||
\(752\) | − | 0.0293796i | − | 0.00107136i | ||||||
\(753\) | 13.3591 | − | 33.6218i | 0.486832 | − | 1.22525i | ||||
\(754\) | − | 29.0146i | − | 1.05665i | ||||||
\(755\) | 20.1064 | 0.731747 | ||||||||
\(756\) | −5.94844 | + | 2.77270i | −0.216343 | + | 0.100842i | ||||
\(757\) | −25.8349 | −0.938986 | −0.469493 | − | 0.882936i | \(-0.655563\pi\) | ||||
−0.469493 | + | 0.882936i | \(0.655563\pi\) | |||||||
\(758\) | 9.69696 | 0.352209 | ||||||||
\(759\) | −3.58423 | + | 32.8924i | −0.130099 | + | 1.19392i | ||||
\(760\) | −23.1995 | −0.841536 | ||||||||
\(761\) | −33.4984 | −1.21432 | −0.607158 | − | 0.794581i | \(-0.707690\pi\) | ||||
−0.607158 | + | 0.794581i | \(0.707690\pi\) | |||||||
\(762\) | 0.0596821 | − | 0.150207i | 0.00216206 | − | 0.00544142i | ||||
\(763\) | −4.19595 | −0.151904 | ||||||||
\(764\) | 24.1895i | 0.875144i | ||||||||
\(765\) | −0.763707 | + | 0.809317i | −0.0276119 | + | 0.0292609i | ||||
\(766\) | − | 1.84978i | − | 0.0668352i | ||||||
\(767\) | −11.5637 | −0.417541 | ||||||||
\(768\) | −25.2374 | − | 10.0276i | −0.910675 | − | 0.361841i | ||||
\(769\) | − | 35.1763i | − | 1.26849i | −0.773132 | − | 0.634245i | \(-0.781311\pi\) | ||
0.773132 | − | 0.634245i | \(-0.218689\pi\) | |||||||
\(770\) | 6.71573 | − | 1.85621i | 0.242018 | − | 0.0668933i | ||||
\(771\) | −4.70473 | + | 11.8408i | −0.169437 | + | 0.426435i | ||||
\(772\) | − | 0.518057i | − | 0.0186453i | ||||||
\(773\) | − | 41.0079i | − | 1.47495i | −0.675374 | − | 0.737475i | \(-0.736018\pi\) | ||
0.675374 | − | 0.737475i | \(-0.263982\pi\) | |||||||
\(774\) | −16.6990 | + | 17.6963i | −0.600233 | + | 0.636081i | ||||
\(775\) | 5.39907 | 0.193940 | ||||||||
\(776\) | −14.1762 | −0.508898 | ||||||||
\(777\) | 4.92576 | − | 12.3970i | 0.176711 | − | 0.444742i | ||||
\(778\) | 9.33994i | 0.334853i | ||||||||
\(779\) | 9.60735i | 0.344219i | ||||||||
\(780\) | 25.9093 | + | 10.2946i | 0.927703 | + | 0.368607i | ||||
\(781\) | 6.68984 | + | 24.2037i | 0.239381 | + | 0.866075i | ||||
\(782\) | 0.749461i | 0.0268007i | ||||||||
\(783\) | 14.2472 | + | 30.5653i | 0.509152 | + | 1.09231i | ||||
\(784\) | −0.121314 | −0.00433265 | ||||||||
\(785\) | 23.1022i | 0.824554i | ||||||||
\(786\) | −17.7246 | − | 7.04258i | −0.632216 | − | 0.251200i | ||||
\(787\) | − | 14.3616i | − | 0.511937i | −0.966685 | − | 0.255968i | \(-0.917606\pi\) | ||
0.966685 | − | 0.255968i | \(-0.0823943\pi\) | |||||||
\(788\) | −18.4892 | −0.658649 | ||||||||
\(789\) | 1.59885 | + | 0.635278i | 0.0569207 | + | 0.0226165i | ||||
\(790\) | 24.4346 | 0.869345 | ||||||||
\(791\) | 18.7645 | 0.667188 | ||||||||
\(792\) | −24.6347 | − | 13.0370i | −0.875355 | − | 0.463251i | ||||
\(793\) | 58.1149 | 2.06372 | ||||||||
\(794\) | 28.6705 | 1.01748 | ||||||||
\(795\) | 44.6750 | + | 17.7509i | 1.58446 | + | 0.629558i | ||||
\(796\) | 32.5109 | 1.15232 | ||||||||
\(797\) | − | 37.2339i | − | 1.31889i | −0.751752 | − | 0.659446i | \(-0.770791\pi\) | ||
0.751752 | − | 0.659446i | \(-0.229209\pi\) | |||||||
\(798\) | −4.67659 | − | 1.85816i | −0.165549 | − | 0.0657783i | ||||
\(799\) | − | 0.0367077i | − | 0.00129862i | ||||||
\(800\) | 5.64091 | 0.199436 | ||||||||
\(801\) | 5.31699 | − | 5.63453i | 0.187866 | − | 0.199086i | ||||
\(802\) | 1.97036i | 0.0695758i | ||||||||
\(803\) | −3.08477 | − | 11.1606i | −0.108859 | − | 0.393849i | ||||
\(804\) | 3.94826 | + | 1.56877i | 0.139244 | + | 0.0553264i | ||||
\(805\) | − | 14.0949i | − | 0.496778i | ||||||
\(806\) | 24.4187i | 0.860112i | ||||||||
\(807\) | 8.91970 | − | 22.4489i | 0.313988 | − | 0.790239i | ||||
\(808\) | 8.32505 | 0.292874 | ||||||||
\(809\) | −10.4350 | −0.366876 | −0.183438 | − | 0.983031i | \(-0.558723\pi\) | ||||
−0.183438 | + | 0.983031i | \(0.558723\pi\) | |||||||
\(810\) | 18.8754 | − | 1.09552i | 0.663213 | − | 0.0384928i | ||||
\(811\) | 22.1974i | 0.779458i | 0.920930 | + | 0.389729i | \(0.127431\pi\) | ||||
−0.920930 | + | 0.389729i | \(0.872569\pi\) | |||||||
\(812\) | 8.19699i | 0.287658i | ||||||||
\(813\) | 19.9016 | − | 50.0880i | 0.697981 | − | 1.75666i | ||||
\(814\) | 21.1360 | − | 5.84195i | 0.740817 | − | 0.204760i | ||||
\(815\) | − | 19.9075i | − | 0.697329i | ||||||
\(816\) | 0.0295981 | + | 0.0117603i | 0.00103614 | + | 0.000411694i | ||||
\(817\) | 31.9739 | 1.11863 | ||||||||
\(818\) | 0.418621i | 0.0146367i | ||||||||
\(819\) | 11.3629 | + | 10.7225i | 0.397053 | + | 0.374676i | ||||
\(820\) | − | 8.77409i | − | 0.306405i | ||||||
\(821\) | 29.0050 | 1.01228 | 0.506140 | − | 0.862451i | \(-0.331072\pi\) | ||||
0.506140 | + | 0.862451i | \(0.331072\pi\) | |||||||
\(822\) | 9.71346 | − | 24.4466i | 0.338796 | − | 0.852674i | ||||
\(823\) | −9.36373 | −0.326399 | −0.163199 | − | 0.986593i | \(-0.552181\pi\) | ||||
−0.163199 | + | 0.986593i | \(0.552181\pi\) | |||||||
\(824\) | 5.90246 | 0.205622 | ||||||||
\(825\) | 5.64505 | + | 0.615132i | 0.196535 | + | 0.0214161i | ||||
\(826\) | −1.90620 | −0.0663251 | ||||||||
\(827\) | −9.70831 | −0.337591 | −0.168795 | − | 0.985651i | \(-0.553988\pi\) | ||||
−0.168795 | + | 0.985651i | \(0.553988\pi\) | |||||||
\(828\) | −14.9783 | + | 15.8728i | −0.520530 | + | 0.551618i | ||||
\(829\) | 7.91149 | 0.274777 | 0.137389 | − | 0.990517i | \(-0.456129\pi\) | ||||
0.137389 | + | 0.990517i | \(0.456129\pi\) | |||||||
\(830\) | − | 32.9132i | − | 1.14243i | ||||||
\(831\) | 5.53721 | − | 13.9359i | 0.192084 | − | 0.483433i | ||||
\(832\) | 24.2489i | 0.840679i | ||||||||
\(833\) | −0.151573 | −0.00525170 | ||||||||
\(834\) | 1.20581 | − | 3.03475i | 0.0417538 | − | 0.105085i | ||||
\(835\) | 6.47836i | 0.224193i | ||||||||
\(836\) | 3.77689 | + | 13.6647i | 0.130626 | + | 0.472603i | ||||
\(837\) | −11.9904 | − | 25.7237i | −0.414449 | − | 0.889141i | ||||
\(838\) | 14.2123i | 0.490957i | ||||||||
\(839\) | 25.0777i | 0.865779i | 0.901447 | + | 0.432890i | \(0.142506\pi\) | ||||
−0.901447 | + | 0.432890i | \(0.857494\pi\) | |||||||
\(840\) | 11.0340 | + | 4.38419i | 0.380710 | + | 0.151269i | ||||
\(841\) | 13.1192 | 0.452385 | ||||||||
\(842\) | 1.68085 | 0.0579260 | ||||||||
\(843\) | −42.4187 | − | 16.8543i | −1.46098 | − | 0.580495i | ||||
\(844\) | − | 19.4841i | − | 0.670671i | ||||||
\(845\) | − | 34.5561i | − | 1.18877i | ||||||
\(846\) | −0.428059 | + | 0.453623i | −0.0147170 | + | 0.0155959i | ||||
\(847\) | −5.64918 | − | 9.43858i | −0.194108 | − | 0.324313i | ||||
\(848\) | − | 1.37590i | − | 0.0472486i | ||||||
\(849\) | −16.9772 | + | 42.7279i | −0.582657 | + | 1.46642i | ||||
\(850\) | 0.128624 | 0.00441176 | ||||||||
\(851\) | − | 44.3598i | − | 1.52064i | ||||||
\(852\) | −6.11603 | + | 15.3927i | −0.209532 | + | 0.527345i | ||||
\(853\) | − | 30.3301i | − | 1.03848i | −0.854628 | − | 0.519241i | \(-0.826215\pi\) | ||
0.854628 | − | 0.519241i | \(-0.173785\pi\) | |||||||
\(854\) | 9.57985 | 0.327816 | ||||||||
\(855\) | −18.0705 | − | 17.0521i | −0.617999 | − | 0.583170i | ||||
\(856\) | −43.6166 | −1.49079 | ||||||||
\(857\) | 12.8728 | 0.439726 | 0.219863 | − | 0.975531i | \(-0.429439\pi\) | ||||
0.219863 | + | 0.975531i | \(0.429439\pi\) | |||||||
\(858\) | −2.78209 | + | 25.5312i | −0.0949790 | + | 0.871620i | ||||
\(859\) | 22.0184 | 0.751259 | 0.375629 | − | 0.926770i | \(-0.377427\pi\) | ||||
0.375629 | + | 0.926770i | \(0.377427\pi\) | |||||||
\(860\) | −29.2008 | −0.995738 | ||||||||
\(861\) | 1.81557 | − | 4.56940i | 0.0618746 | − | 0.155725i | ||||
\(862\) | −13.1802 | −0.448920 | ||||||||
\(863\) | 41.5594i | 1.41470i | 0.706865 | + | 0.707349i | \(0.250109\pi\) | ||||
−0.706865 | + | 0.707349i | \(0.749891\pi\) | |||||||
\(864\) | −12.5275 | − | 26.8759i | −0.426193 | − | 0.914337i | ||||
\(865\) | − | 7.41868i | − | 0.252243i | ||||||
\(866\) | −7.78285 | −0.264472 | ||||||||
\(867\) | −27.3270 | − | 10.8579i | −0.928073 | − | 0.368754i | ||||
\(868\) | − | 6.89858i | − | 0.234153i | ||||||
\(869\) | −10.2770 | − | 37.1820i | −0.348624 | − | 1.26131i | ||||
\(870\) | 8.71983 | − | 21.9459i | 0.295630 | − | 0.744035i | ||||
\(871\) | − | 10.1138i | − | 0.342693i | ||||||
\(872\) | − | 11.7537i | − | 0.398032i | ||||||
\(873\) | −11.0421 | − | 10.4198i | −0.373720 | − | 0.352658i | ||||
\(874\) | −16.7340 | −0.566037 | ||||||||
\(875\) | 9.81672 | 0.331866 | ||||||||
\(876\) | 2.82018 | − | 7.09776i | 0.0952850 | − | 0.239811i | ||||
\(877\) | − | 25.0341i | − | 0.845341i | −0.906283 | − | 0.422671i | \(-0.861093\pi\) | ||
0.906283 | − | 0.422671i | \(-0.138907\pi\) | |||||||
\(878\) | 3.29185i | 0.111095i | ||||||||
\(879\) | −51.9468 | − | 20.6402i | −1.75212 | − | 0.696177i | ||||
\(880\) | −0.262310 | − | 0.949031i | −0.00884248 | − | 0.0319918i | ||||
\(881\) | − | 17.9254i | − | 0.603923i | −0.953320 | − | 0.301961i | \(-0.902359\pi\) | ||
0.953320 | − | 0.301961i | \(-0.0976414\pi\) | |||||||
\(882\) | 1.87310 | + | 1.76754i | 0.0630706 | + | 0.0595162i | ||||
\(883\) | −34.8036 | −1.17123 | −0.585617 | − | 0.810588i | \(-0.699148\pi\) | ||||
−0.585617 | + | 0.810588i | \(0.699148\pi\) | |||||||
\(884\) | − | 0.996988i | − | 0.0335323i | ||||||
\(885\) | −8.74646 | − | 3.47526i | −0.294009 | − | 0.116820i | ||||
\(886\) | − | 6.46815i | − | 0.217302i | ||||||
\(887\) | −24.3669 | −0.818159 | −0.409079 | − | 0.912499i | \(-0.634150\pi\) | ||||
−0.409079 | + | 0.912499i | \(0.634150\pi\) | |||||||
\(888\) | 34.7267 | + | 13.7981i | 1.16535 | + | 0.463033i | ||||
\(889\) | 0.108701 | 0.00364573 | ||||||||
\(890\) | −5.42505 | −0.181848 | ||||||||
\(891\) | −9.60590 | − | 28.2618i | −0.321810 | − | 0.946804i | ||||
\(892\) | 22.7123 | 0.760463 | ||||||||
\(893\) | 0.819613 | 0.0274273 | ||||||||
\(894\) | 10.8314 | + | 4.30366i | 0.362255 | + | 0.143936i | ||||
\(895\) | 23.9812 | 0.801602 | ||||||||
\(896\) | − | 7.41586i | − | 0.247747i | ||||||
\(897\) | 48.2819 | + | 19.1840i | 1.61209 | + | 0.640536i | ||||
\(898\) | 9.47917i | 0.316324i | ||||||||
\(899\) | −35.4475 | −1.18224 | ||||||||
\(900\) | 2.72412 | + | 2.57059i | 0.0908039 | + | 0.0856865i | ||||
\(901\) | − | 1.71909i | − | 0.0572711i | ||||||
\(902\) | 7.79047 | − | 2.15327i | 0.259394 | − | 0.0716960i | ||||
\(903\) | −15.2073 | − | 6.04235i | −0.506066 | − | 0.201077i | ||||
\(904\) | 52.5632i | 1.74823i | ||||||||
\(905\) | − | 19.6520i | − | 0.653256i | ||||||
\(906\) | −4.51113 | + | 11.3535i | −0.149872 | + | 0.377195i | ||||
\(907\) | −5.80381 | −0.192712 | −0.0963562 | − | 0.995347i | \(-0.530719\pi\) | ||||
−0.0963562 | + | 0.995347i | \(0.530719\pi\) | |||||||
\(908\) | −16.7860 | −0.557062 | ||||||||
\(909\) | 6.48453 | + | 6.11908i | 0.215078 | + | 0.202957i | ||||
\(910\) | − | 10.9405i | − | 0.362673i | ||||||
\(911\) | − | 36.4746i | − | 1.20846i | −0.796812 | − | 0.604228i | \(-0.793482\pi\) | ||
0.796812 | − | 0.604228i | \(-0.206518\pi\) | |||||||
\(912\) | −0.262586 | + | 0.660870i | −0.00869508 | + | 0.0218836i | ||||
\(913\) | −50.0838 | + | 13.8431i | −1.65753 | + | 0.458138i | ||||
\(914\) | − | 5.41698i | − | 0.179178i | ||||||
\(915\) | 43.9565 | + | 17.4654i | 1.45316 | + | 0.577388i | ||||
\(916\) | −24.4020 | −0.806264 | ||||||||
\(917\) | − | 12.8269i | − | 0.423582i | ||||||
\(918\) | −0.285651 | − | 0.612824i | −0.00942788 | − | 0.0202262i | ||||
\(919\) | − | 14.9130i | − | 0.491934i | −0.969278 | − | 0.245967i | \(-0.920895\pi\) | ||
0.969278 | − | 0.245967i | \(-0.0791055\pi\) | |||||||
\(920\) | 39.4826 | 1.30170 | ||||||||
\(921\) | −1.09425 | + | 2.75399i | −0.0360568 | + | 0.0907470i | ||||
\(922\) | −2.93827 | −0.0967669 | ||||||||
\(923\) | 39.4297 | 1.29784 | ||||||||
\(924\) | 0.785974 | − | 7.21287i | 0.0258567 | − | 0.237286i | ||||
\(925\) | −7.61312 | −0.250318 | ||||||||
\(926\) | −4.27758 | −0.140570 | ||||||||
\(927\) | 4.59753 | + | 4.33842i | 0.151003 | + | 0.142493i | ||||
\(928\) | −37.0352 | −1.21574 | ||||||||
\(929\) | 26.1737i | 0.858730i | 0.903131 | + | 0.429365i | \(0.141263\pi\) | ||||
−0.903131 | + | 0.429365i | \(0.858737\pi\) | |||||||
\(930\) | −7.33860 | + | 18.4696i | −0.240642 | + | 0.605643i | ||||
\(931\) | − | 3.38435i | − | 0.110917i | ||||||
\(932\) | 5.60705 | 0.183665 | ||||||||
\(933\) | 5.10272 | − | 12.8424i | 0.167056 | − | 0.420442i | ||||
\(934\) | − | 1.21704i | − | 0.0398227i | ||||||
\(935\) | −0.327738 | − | 1.18575i | −0.0107182 | − | 0.0387781i | ||||
\(936\) | −30.0361 | + | 31.8299i | −0.981761 | + | 1.04039i | ||||
\(937\) | − | 35.6941i | − | 1.16607i | −0.812445 | − | 0.583037i | \(-0.801864\pi\) | ||
0.812445 | − | 0.583037i | \(-0.198136\pi\) | |||||||
\(938\) | − | 1.66719i | − | 0.0544357i | ||||||
\(939\) | 12.7960 | + | 5.08426i | 0.417580 | + | 0.165919i | ||||
\(940\) | −0.748526 | −0.0244142 | ||||||||
\(941\) | 33.7819 | 1.10126 | 0.550629 | − | 0.834750i | \(-0.314388\pi\) | ||||
0.550629 | + | 0.834750i | \(0.314388\pi\) | |||||||
\(942\) | −13.0452 | − | 5.18327i | −0.425034 | − | 0.168880i | ||||
\(943\) | − | 16.3505i | − | 0.532445i | ||||||
\(944\) | 0.269374i | 0.00876736i | ||||||||
\(945\) | 5.37214 | + | 11.5252i | 0.174756 | + | 0.374914i | ||||
\(946\) | −7.16623 | − | 25.9272i | −0.232994 | − | 0.842967i | ||||
\(947\) | − | 31.3380i | − | 1.01835i | −0.860664 | − | 0.509174i | \(-0.829951\pi\) | ||
0.860664 | − | 0.509174i | \(-0.170049\pi\) | |||||||
\(948\) | 9.39554 | − | 23.6465i | 0.305153 | − | 0.768003i | ||||
\(949\) | −18.1815 | −0.590197 | ||||||||
\(950\) | 2.87193i | 0.0931776i | ||||||||
\(951\) | −6.39103 | + | 16.0848i | −0.207243 | + | 0.521586i | ||||
\(952\) | − | 0.424589i | − | 0.0137610i | ||||||
\(953\) | 10.9252 | 0.353901 | 0.176951 | − | 0.984220i | \(-0.443377\pi\) | ||||
0.176951 | + | 0.984220i | \(0.443377\pi\) | |||||||
\(954\) | −20.0468 | + | 21.2440i | −0.649039 | + | 0.687801i | ||||
\(955\) | 46.8674 | 1.51659 | ||||||||
\(956\) | −1.76221 | −0.0569940 | ||||||||
\(957\) | −37.0624 | − | 4.03863i | −1.19806 | − | 0.130550i | ||||
\(958\) | −20.5031 | −0.662424 | ||||||||
\(959\) | 17.6915 | 0.571288 | ||||||||
\(960\) | −7.28757 | + | 18.3412i | −0.235205 | + | 0.591959i | ||||
\(961\) | −1.16746 | −0.0376598 | ||||||||
\(962\) | − | 34.4323i | − | 1.11014i | ||||||
\(963\) | −33.9738 | − | 32.0591i | −1.09479 | − | 1.03309i | ||||
\(964\) | 19.4486i | 0.626397i | ||||||||
\(965\) | −1.00374 | −0.0323116 | ||||||||
\(966\) | 7.95896 | + | 3.16236i | 0.256075 | + | 0.101747i | ||||
\(967\) | 24.1608i | 0.776959i | 0.921457 | + | 0.388480i | \(0.127000\pi\) | ||||
−0.921457 | + | 0.388480i | \(0.873000\pi\) | |||||||
\(968\) | 26.4394 | − | 15.8245i | 0.849796 | − | 0.508620i | ||||
\(969\) | −0.328082 | + | 0.825710i | −0.0105395 | + | 0.0265256i | ||||
\(970\) | 10.6316i | 0.341360i | ||||||||
\(971\) | − | 55.1411i | − | 1.76956i | −0.466006 | − | 0.884781i | \(-0.654308\pi\) | ||
0.466006 | − | 0.884781i | \(-0.345692\pi\) | |||||||
\(972\) | 6.19772 | − | 18.6878i | 0.198792 | − | 0.599412i | ||||
\(973\) | 2.19619 | 0.0704065 | ||||||||
\(974\) | −21.1347 | −0.677201 | ||||||||
\(975\) | 3.29240 | − | 8.28623i | 0.105441 | − | 0.265372i | ||||
\(976\) | − | 1.35377i | − | 0.0433332i | ||||||
\(977\) | 14.5912i | 0.466815i | 0.972379 | + | 0.233408i | \(0.0749877\pi\) | ||||
−0.972379 | + | 0.233408i | \(0.925012\pi\) | |||||||
\(978\) | 11.2412 | + | 4.46650i | 0.359454 | + | 0.142823i | ||||
\(979\) | 2.28174 | + | 8.25526i | 0.0729246 | + | 0.263839i | ||||
\(980\) | 3.09082i | 0.0987325i | ||||||||
\(981\) | 8.63924 | − | 9.15520i | 0.275830 | − | 0.292303i | ||||
\(982\) | 4.04778 | 0.129170 | ||||||||
\(983\) | 57.8582i | 1.84539i | 0.385530 | + | 0.922695i | \(0.374019\pi\) | ||||
−0.385530 | + | 0.922695i | \(0.625981\pi\) | |||||||
\(984\) | 12.7998 | + | 5.08580i | 0.408044 | + | 0.162129i | ||||
\(985\) | 35.8230i | 1.14142i | ||||||||
\(986\) | −0.844475 | −0.0268936 | ||||||||
\(987\) | −0.389820 | − | 0.154888i | −0.0124081 | − | 0.00493015i | ||||
\(988\) | 22.2609 | 0.708213 | ||||||||
\(989\) | −54.4156 | −1.73031 | ||||||||
\(990\) | −9.77724 | + | 18.4750i | −0.310741 | + | 0.587174i | ||||
\(991\) | −16.5692 | −0.526337 | −0.263168 | − | 0.964750i | \(-0.584767\pi\) | ||||
−0.263168 | + | 0.964750i | \(0.584767\pi\) | |||||||
\(992\) | 31.1688 | 0.989610 | ||||||||
\(993\) | 53.9632 | + | 21.4414i | 1.71247 | + | 0.680422i | ||||
\(994\) | 6.49972 | 0.206159 | ||||||||
\(995\) | − | 62.9902i | − | 1.99692i | ||||||
\(996\) | −31.8516 | − | 12.6557i | −1.00926 | − | 0.401011i | ||||
\(997\) | 54.6399i | 1.73046i | 0.501373 | + | 0.865231i | \(0.332828\pi\) | ||||
−0.501373 | + | 0.865231i | \(0.667172\pi\) | |||||||
\(998\) | −11.9293 | −0.377614 | ||||||||
\(999\) | 16.9074 | + | 36.2724i | 0.534926 | + | 1.14761i |
(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 | 231.2.g.a.197.10 | yes | 24 | |
3.2 | odd | 2 | inner | 231.2.g.a.197.15 | yes | 24 | |
11.10 | odd | 2 | inner | 231.2.g.a.197.16 | yes | 24 | |
33.32 | even | 2 | inner | 231.2.g.a.197.9 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.g.a.197.9 | ✓ | 24 | 33.32 | even | 2 | inner | |
231.2.g.a.197.10 | yes | 24 | 1.1 | even | 1 | trivial | |
231.2.g.a.197.15 | yes | 24 | 3.2 | odd | 2 | inner | |
231.2.g.a.197.16 | yes | 24 | 11.10 | odd | 2 | inner |