Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(699,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.699");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.c (of order \(2\), degree \(1\), not 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 140) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 699.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 700.699 |
Dual form | 700.2.c.c.699.2 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | − | 0.366025i | −0.965926 | − | 0.258819i | ||||
\(3\) | 1.73205i | 1.00000i | 0.866025 | + | 0.500000i | \(0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(4\) | 1.73205 | + | 1.00000i | 0.866025 | + | 0.500000i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.633975 | − | 2.36603i | 0.258819 | − | 0.965926i | ||||
\(7\) | −2.00000 | − | 1.73205i | −0.755929 | − | 0.654654i | ||||
\(8\) | −2.00000 | − | 2.00000i | −0.707107 | − | 0.707107i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − | 0.267949i | − | 0.0807897i | −0.999184 | − | 0.0403949i | \(-0.987138\pi\) | ||
0.999184 | − | 0.0403949i | \(-0.0128616\pi\) | |||||||
\(12\) | −1.73205 | + | 3.00000i | −0.500000 | + | 0.866025i | ||||
\(13\) | −0.464102 | −0.128719 | −0.0643593 | − | 0.997927i | \(-0.520500\pi\) | ||||
−0.0643593 | + | 0.997927i | \(0.520500\pi\) | |||||||
\(14\) | 2.09808 | + | 3.09808i | 0.560734 | + | 0.827996i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.00000 | + | 3.46410i | 0.500000 | + | 0.866025i | ||||
\(17\) | 6.46410 | 1.56777 | 0.783887 | − | 0.620903i | \(-0.213234\pi\) | ||||
0.783887 | + | 0.620903i | \(0.213234\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.00000 | 1.37649 | 0.688247 | − | 0.725476i | \(-0.258380\pi\) | ||||
0.688247 | + | 0.725476i | \(0.258380\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.00000 | − | 3.46410i | 0.654654 | − | 0.755929i | ||||
\(22\) | −0.0980762 | + | 0.366025i | −0.0209099 | + | 0.0780369i | ||||
\(23\) | 1.46410 | 0.305286 | 0.152643 | − | 0.988281i | \(-0.451221\pi\) | ||||
0.152643 | + | 0.988281i | \(0.451221\pi\) | |||||||
\(24\) | 3.46410 | − | 3.46410i | 0.707107 | − | 0.707107i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.633975 | + | 0.169873i | 0.124333 | + | 0.0333148i | ||||
\(27\) | 5.19615i | 1.00000i | ||||||||
\(28\) | −1.73205 | − | 5.00000i | −0.327327 | − | 0.944911i | ||||
\(29\) | −7.92820 | −1.47223 | −0.736115 | − | 0.676856i | \(-0.763342\pi\) | ||||
−0.736115 | + | 0.676856i | \(0.763342\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.00000 | 1.07763 | 0.538816 | − | 0.842424i | \(-0.318872\pi\) | ||||
0.538816 | + | 0.842424i | \(0.318872\pi\) | |||||||
\(32\) | −1.46410 | − | 5.46410i | −0.258819 | − | 0.965926i | ||||
\(33\) | 0.464102 | 0.0807897 | ||||||||
\(34\) | −8.83013 | − | 2.36603i | −1.51435 | − | 0.405770i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.46410i | 1.55589i | 0.628333 | + | 0.777944i | \(0.283737\pi\) | ||||
−0.628333 | + | 0.777944i | \(0.716263\pi\) | |||||||
\(38\) | −8.19615 | − | 2.19615i | −1.32959 | − | 0.356263i | ||||
\(39\) | − | 0.803848i | − | 0.128719i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.46410i | 0.541002i | 0.962720 | + | 0.270501i | \(0.0871893\pi\) | ||||
−0.962720 | + | 0.270501i | \(0.912811\pi\) | |||||||
\(42\) | −5.36603 | + | 3.63397i | −0.827996 | + | 0.560734i | ||||
\(43\) | 2.00000 | 0.304997 | 0.152499 | − | 0.988304i | \(-0.451268\pi\) | ||||
0.152499 | + | 0.988304i | \(0.451268\pi\) | |||||||
\(44\) | 0.267949 | − | 0.464102i | 0.0403949 | − | 0.0699660i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.00000 | − | 0.535898i | −0.294884 | − | 0.0790139i | ||||
\(47\) | 1.73205i | 0.252646i | 0.991989 | + | 0.126323i | \(0.0403175\pi\) | ||||
−0.991989 | + | 0.126323i | \(0.959682\pi\) | |||||||
\(48\) | −6.00000 | + | 3.46410i | −0.866025 | + | 0.500000i | ||||
\(49\) | 1.00000 | + | 6.92820i | 0.142857 | + | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 11.1962i | 1.56777i | ||||||||
\(52\) | −0.803848 | − | 0.464102i | −0.111474 | − | 0.0643593i | ||||
\(53\) | 2.00000i | 0.274721i | 0.990521 | + | 0.137361i | \(0.0438619\pi\) | ||||
−0.990521 | + | 0.137361i | \(0.956138\pi\) | |||||||
\(54\) | 1.90192 | − | 7.09808i | 0.258819 | − | 0.965926i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.535898 | + | 7.46410i | 0.0716124 | + | 0.997433i | ||||
\(57\) | 10.3923i | 1.37649i | ||||||||
\(58\) | 10.8301 | + | 2.90192i | 1.42207 | + | 0.381041i | ||||
\(59\) | −3.46410 | −0.450988 | −0.225494 | − | 0.974245i | \(-0.572400\pi\) | ||||
−0.225494 | + | 0.974245i | \(0.572400\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | − | 9.46410i | − | 1.21175i | −0.795558 | − | 0.605877i | \(-0.792822\pi\) | ||
0.795558 | − | 0.605877i | \(-0.207178\pi\) | |||||||
\(62\) | −8.19615 | − | 2.19615i | −1.04091 | − | 0.278912i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000i | 1.00000i | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.633975 | − | 0.169873i | −0.0780369 | − | 0.0209099i | ||||
\(67\) | 3.46410 | 0.423207 | 0.211604 | − | 0.977356i | \(-0.432131\pi\) | ||||
0.211604 | + | 0.977356i | \(0.432131\pi\) | |||||||
\(68\) | 11.1962 | + | 6.46410i | 1.35773 | + | 0.783887i | ||||
\(69\) | 2.53590i | 0.305286i | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 7.46410i | − | 0.885826i | −0.896565 | − | 0.442913i | \(-0.853945\pi\) | ||
0.896565 | − | 0.442913i | \(-0.146055\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 12.9282 | 1.51313 | 0.756566 | − | 0.653917i | \(-0.226876\pi\) | ||||
0.756566 | + | 0.653917i | \(0.226876\pi\) | |||||||
\(74\) | 3.46410 | − | 12.9282i | 0.402694 | − | 1.50287i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.3923 | + | 6.00000i | 1.19208 | + | 0.688247i | ||||
\(77\) | −0.464102 | + | 0.535898i | −0.0528893 | + | 0.0610713i | ||||
\(78\) | −0.294229 | + | 1.09808i | −0.0333148 | + | 0.124333i | ||||
\(79\) | 14.6603i | 1.64941i | 0.565565 | + | 0.824704i | \(0.308658\pi\) | ||||
−0.565565 | + | 0.824704i | \(0.691342\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −9.00000 | −1.00000 | ||||||||
\(82\) | 1.26795 | − | 4.73205i | 0.140022 | − | 0.522568i | ||||
\(83\) | − | 15.4641i | − | 1.69741i | −0.528870 | − | 0.848703i | \(-0.677384\pi\) | ||
0.528870 | − | 0.848703i | \(-0.322616\pi\) | |||||||
\(84\) | 8.66025 | − | 3.00000i | 0.944911 | − | 0.327327i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −2.73205 | − | 0.732051i | −0.294605 | − | 0.0789391i | ||||
\(87\) | − | 13.7321i | − | 1.47223i | ||||||
\(88\) | −0.535898 | + | 0.535898i | −0.0571270 | + | 0.0571270i | ||||
\(89\) | 2.53590i | 0.268805i | 0.990927 | + | 0.134402i | \(0.0429115\pi\) | ||||
−0.990927 | + | 0.134402i | \(0.957089\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.928203 | + | 0.803848i | 0.0973021 | + | 0.0842661i | ||||
\(92\) | 2.53590 | + | 1.46410i | 0.264386 | + | 0.152643i | ||||
\(93\) | 10.3923i | 1.07763i | ||||||||
\(94\) | 0.633975 | − | 2.36603i | 0.0653895 | − | 0.244037i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 9.46410 | − | 2.53590i | 0.965926 | − | 0.258819i | ||||
\(97\) | 13.3923 | 1.35978 | 0.679891 | − | 0.733313i | \(-0.262027\pi\) | ||||
0.679891 | + | 0.733313i | \(0.262027\pi\) | |||||||
\(98\) | 1.16987 | − | 9.83013i | 0.118175 | − | 0.992993i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 15.4641i | 1.53874i | 0.638806 | + | 0.769368i | \(0.279429\pi\) | ||||
−0.638806 | + | 0.769368i | \(0.720571\pi\) | |||||||
\(102\) | 4.09808 | − | 15.2942i | 0.405770 | − | 1.51435i | ||||
\(103\) | 6.80385i | 0.670403i | 0.942146 | + | 0.335202i | \(0.108804\pi\) | ||||
−0.942146 | + | 0.335202i | \(0.891196\pi\) | |||||||
\(104\) | 0.928203 | + | 0.928203i | 0.0910178 | + | 0.0910178i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.732051 | − | 2.73205i | 0.0711031 | − | 0.265360i | ||||
\(107\) | 2.39230 | 0.231273 | 0.115636 | − | 0.993292i | \(-0.463109\pi\) | ||||
0.115636 | + | 0.993292i | \(0.463109\pi\) | |||||||
\(108\) | −5.19615 | + | 9.00000i | −0.500000 | + | 0.866025i | ||||
\(109\) | −2.07180 | −0.198442 | −0.0992211 | − | 0.995065i | \(-0.531635\pi\) | ||||
−0.0992211 | + | 0.995065i | \(0.531635\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −16.3923 | −1.55589 | ||||||||
\(112\) | 2.00000 | − | 10.3923i | 0.188982 | − | 0.981981i | ||||
\(113\) | 5.46410i | 0.514019i | 0.966409 | + | 0.257010i | \(0.0827372\pi\) | ||||
−0.966409 | + | 0.257010i | \(0.917263\pi\) | |||||||
\(114\) | 3.80385 | − | 14.1962i | 0.356263 | − | 1.32959i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −13.7321 | − | 7.92820i | −1.27499 | − | 0.736115i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.73205 | + | 1.26795i | 0.435621 | + | 0.116724i | ||||
\(119\) | −12.9282 | − | 11.1962i | −1.18513 | − | 1.02635i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.9282 | 0.993473 | ||||||||
\(122\) | −3.46410 | + | 12.9282i | −0.313625 | + | 1.17046i | ||||
\(123\) | −6.00000 | −0.541002 | ||||||||
\(124\) | 10.3923 | + | 6.00000i | 0.933257 | + | 0.538816i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 15.4641 | 1.37222 | 0.686109 | − | 0.727499i | \(-0.259317\pi\) | ||||
0.686109 | + | 0.727499i | \(0.259317\pi\) | |||||||
\(128\) | 2.92820 | − | 10.9282i | 0.258819 | − | 0.965926i | ||||
\(129\) | 3.46410i | 0.304997i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.53590 | −0.221562 | −0.110781 | − | 0.993845i | \(-0.535335\pi\) | ||||
−0.110781 | + | 0.993845i | \(0.535335\pi\) | |||||||
\(132\) | 0.803848 | + | 0.464102i | 0.0699660 | + | 0.0403949i | ||||
\(133\) | −12.0000 | − | 10.3923i | −1.04053 | − | 0.901127i | ||||
\(134\) | −4.73205 | − | 1.26795i | −0.408787 | − | 0.109534i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.9282 | − | 12.9282i | −1.10858 | − | 1.10858i | ||||
\(137\) | − | 20.3923i | − | 1.74223i | −0.491077 | − | 0.871116i | \(-0.663397\pi\) | ||
0.491077 | − | 0.871116i | \(-0.336603\pi\) | |||||||
\(138\) | 0.928203 | − | 3.46410i | 0.0790139 | − | 0.294884i | ||||
\(139\) | 6.92820 | 0.587643 | 0.293821 | − | 0.955860i | \(-0.405073\pi\) | ||||
0.293821 | + | 0.955860i | \(0.405073\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.00000 | −0.252646 | ||||||||
\(142\) | −2.73205 | + | 10.1962i | −0.229269 | + | 0.855642i | ||||
\(143\) | 0.124356i | 0.0103991i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −17.6603 | − | 4.73205i | −1.46157 | − | 0.391627i | ||||
\(147\) | −12.0000 | + | 1.73205i | −0.989743 | + | 0.142857i | ||||
\(148\) | −9.46410 | + | 16.3923i | −0.777944 | + | 1.34744i | ||||
\(149\) | −3.07180 | −0.251651 | −0.125826 | − | 0.992052i | \(-0.540158\pi\) | ||||
−0.125826 | + | 0.992052i | \(0.540158\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 15.1962i | − | 1.23665i | −0.785924 | − | 0.618323i | \(-0.787812\pi\) | ||
0.785924 | − | 0.618323i | \(-0.212188\pi\) | |||||||
\(152\) | −12.0000 | − | 12.0000i | −0.973329 | − | 0.973329i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.830127 | − | 0.562178i | 0.0668935 | − | 0.0453016i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.803848 | − | 1.39230i | 0.0643593 | − | 0.111474i | ||||
\(157\) | −7.85641 | −0.627009 | −0.313505 | − | 0.949587i | \(-0.601503\pi\) | ||||
−0.313505 | + | 0.949587i | \(0.601503\pi\) | |||||||
\(158\) | 5.36603 | − | 20.0263i | 0.426898 | − | 1.59321i | ||||
\(159\) | −3.46410 | −0.274721 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.92820 | − | 2.53590i | −0.230775 | − | 0.199857i | ||||
\(162\) | 12.2942 | + | 3.29423i | 0.965926 | + | 0.258819i | ||||
\(163\) | −20.7846 | −1.62798 | −0.813988 | − | 0.580881i | \(-0.802708\pi\) | ||||
−0.813988 | + | 0.580881i | \(0.802708\pi\) | |||||||
\(164\) | −3.46410 | + | 6.00000i | −0.270501 | + | 0.468521i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.66025 | + | 21.1244i | −0.439321 | + | 1.63957i | ||||
\(167\) | − | 5.19615i | − | 0.402090i | −0.979582 | − | 0.201045i | \(-0.935566\pi\) | ||
0.979582 | − | 0.201045i | \(-0.0644338\pi\) | |||||||
\(168\) | −12.9282 | + | 0.928203i | −0.997433 | + | 0.0716124i | ||||
\(169\) | −12.7846 | −0.983432 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.46410 | + | 2.00000i | 0.264135 | + | 0.152499i | ||||
\(173\) | −14.3205 | −1.08877 | −0.544384 | − | 0.838836i | \(-0.683237\pi\) | ||||
−0.544384 | + | 0.838836i | \(0.683237\pi\) | |||||||
\(174\) | −5.02628 | + | 18.7583i | −0.381041 | + | 1.42207i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.928203 | − | 0.535898i | 0.0699660 | − | 0.0403949i | ||||
\(177\) | − | 6.00000i | − | 0.450988i | ||||||
\(178\) | 0.928203 | − | 3.46410i | 0.0695718 | − | 0.259645i | ||||
\(179\) | − | 6.39230i | − | 0.477783i | −0.971046 | − | 0.238892i | \(-0.923216\pi\) | ||
0.971046 | − | 0.238892i | \(-0.0767841\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.928203i | 0.0689928i | 0.999405 | + | 0.0344964i | \(0.0109827\pi\) | ||||
−0.999405 | + | 0.0344964i | \(0.989017\pi\) | |||||||
\(182\) | −0.973721 | − | 1.43782i | −0.0721770 | − | 0.106578i | ||||
\(183\) | 16.3923 | 1.21175 | ||||||||
\(184\) | −2.92820 | − | 2.92820i | −0.215870 | − | 0.215870i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 3.80385 | − | 14.1962i | 0.278912 | − | 1.04091i | ||||
\(187\) | − | 1.73205i | − | 0.126660i | ||||||
\(188\) | −1.73205 | + | 3.00000i | −0.126323 | + | 0.218797i | ||||
\(189\) | 9.00000 | − | 10.3923i | 0.654654 | − | 0.755929i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 7.19615i | − | 0.520695i | −0.965515 | − | 0.260348i | \(-0.916163\pi\) | ||
0.965515 | − | 0.260348i | \(-0.0838372\pi\) | |||||||
\(192\) | −13.8564 | −1.00000 | ||||||||
\(193\) | − | 9.46410i | − | 0.681241i | −0.940201 | − | 0.340620i | \(-0.889363\pi\) | ||
0.940201 | − | 0.340620i | \(-0.110637\pi\) | |||||||
\(194\) | −18.2942 | − | 4.90192i | −1.31345 | − | 0.351938i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.19615 | + | 13.0000i | −0.371154 | + | 0.928571i | ||||
\(197\) | 13.3205i | 0.949047i | 0.880243 | + | 0.474523i | \(0.157380\pi\) | ||||
−0.880243 | + | 0.474523i | \(0.842620\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.46410 | 0.245564 | 0.122782 | − | 0.992434i | \(-0.460818\pi\) | ||||
0.122782 | + | 0.992434i | \(0.460818\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.00000i | 0.423207i | ||||||||
\(202\) | 5.66025 | − | 21.1244i | 0.398254 | − | 1.48630i | ||||
\(203\) | 15.8564 | + | 13.7321i | 1.11290 | + | 0.963801i | ||||
\(204\) | −11.1962 | + | 19.3923i | −0.783887 | + | 1.35773i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 2.49038 | − | 9.29423i | 0.173513 | − | 0.647560i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.928203 | − | 1.60770i | −0.0643593 | − | 0.111474i | ||||
\(209\) | − | 1.60770i | − | 0.111207i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 3.19615i | − | 0.220032i | −0.993930 | − | 0.110016i | \(-0.964910\pi\) | ||
0.993930 | − | 0.110016i | \(-0.0350902\pi\) | |||||||
\(212\) | −2.00000 | + | 3.46410i | −0.137361 | + | 0.237915i | ||||
\(213\) | 12.9282 | 0.885826 | ||||||||
\(214\) | −3.26795 | − | 0.875644i | −0.223392 | − | 0.0598578i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 10.3923 | − | 10.3923i | 0.707107 | − | 0.707107i | ||||
\(217\) | −12.0000 | − | 10.3923i | −0.814613 | − | 0.705476i | ||||
\(218\) | 2.83013 | + | 0.758330i | 0.191680 | + | 0.0513606i | ||||
\(219\) | 22.3923i | 1.51313i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.00000 | −0.201802 | ||||||||
\(222\) | 22.3923 | + | 6.00000i | 1.50287 | + | 0.402694i | ||||
\(223\) | 13.7321i | 0.919566i | 0.888031 | + | 0.459783i | \(0.152073\pi\) | ||||
−0.888031 | + | 0.459783i | \(0.847927\pi\) | |||||||
\(224\) | −6.53590 | + | 13.4641i | −0.436698 | + | 0.899608i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.00000 | − | 7.46410i | 0.133038 | − | 0.496505i | ||||
\(227\) | 20.6603i | 1.37127i | 0.727946 | + | 0.685635i | \(0.240475\pi\) | ||||
−0.727946 | + | 0.685635i | \(0.759525\pi\) | |||||||
\(228\) | −10.3923 | + | 18.0000i | −0.688247 | + | 1.19208i | ||||
\(229\) | − | 8.53590i | − | 0.564068i | −0.959404 | − | 0.282034i | \(-0.908991\pi\) | ||
0.959404 | − | 0.282034i | \(-0.0910091\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.928203 | − | 0.803848i | −0.0610713 | − | 0.0528893i | ||||
\(232\) | 15.8564 | + | 15.8564i | 1.04102 | + | 1.04102i | ||||
\(233\) | − | 9.07180i | − | 0.594313i | −0.954829 | − | 0.297157i | \(-0.903962\pi\) | ||
0.954829 | − | 0.297157i | \(-0.0960383\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −6.00000 | − | 3.46410i | −0.390567 | − | 0.225494i | ||||
\(237\) | −25.3923 | −1.64941 | ||||||||
\(238\) | 13.5622 | + | 20.0263i | 0.879105 | + | 1.29811i | ||||
\(239\) | − | 23.9808i | − | 1.55119i | −0.631233 | − | 0.775593i | \(-0.717451\pi\) | ||
0.631233 | − | 0.775593i | \(-0.282549\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 16.3923i | − | 1.05592i | −0.849269 | − | 0.527961i | \(-0.822957\pi\) | ||
0.849269 | − | 0.527961i | \(-0.177043\pi\) | |||||||
\(242\) | −14.9282 | − | 4.00000i | −0.959621 | − | 0.257130i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.46410 | − | 16.3923i | 0.605877 | − | 1.04941i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 8.19615 | + | 2.19615i | 0.522568 | + | 0.140022i | ||||
\(247\) | −2.78461 | −0.177180 | ||||||||
\(248\) | −12.0000 | − | 12.0000i | −0.762001 | − | 0.762001i | ||||
\(249\) | 26.7846 | 1.69741 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 25.8564 | 1.63204 | 0.816021 | − | 0.578022i | \(-0.196175\pi\) | ||||
0.816021 | + | 0.578022i | \(0.196175\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 0.392305i | − | 0.0246640i | ||||||
\(254\) | −21.1244 | − | 5.66025i | −1.32546 | − | 0.355156i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | + | 13.8564i | −0.500000 | + | 0.866025i | ||||
\(257\) | −6.00000 | −0.374270 | −0.187135 | − | 0.982334i | \(-0.559920\pi\) | ||||
−0.187135 | + | 0.982334i | \(0.559920\pi\) | |||||||
\(258\) | 1.26795 | − | 4.73205i | 0.0789391 | − | 0.294605i | ||||
\(259\) | 16.3923 | − | 18.9282i | 1.01857 | − | 1.17614i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.46410 | + | 0.928203i | 0.214013 | + | 0.0573446i | ||||
\(263\) | −11.4641 | −0.706907 | −0.353453 | − | 0.935452i | \(-0.614993\pi\) | ||||
−0.353453 | + | 0.935452i | \(0.614993\pi\) | |||||||
\(264\) | −0.928203 | − | 0.928203i | −0.0571270 | − | 0.0571270i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 12.5885 | + | 18.5885i | 0.771848 | + | 1.13973i | ||||
\(267\) | −4.39230 | −0.268805 | ||||||||
\(268\) | 6.00000 | + | 3.46410i | 0.366508 | + | 0.211604i | ||||
\(269\) | − | 12.0000i | − | 0.731653i | −0.930683 | − | 0.365826i | \(-0.880786\pi\) | ||
0.930683 | − | 0.365826i | \(-0.119214\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.46410 | −0.574903 | −0.287452 | − | 0.957795i | \(-0.592808\pi\) | ||||
−0.287452 | + | 0.957795i | \(0.592808\pi\) | |||||||
\(272\) | 12.9282 | + | 22.3923i | 0.783887 | + | 1.35773i | ||||
\(273\) | −1.39230 | + | 1.60770i | −0.0842661 | + | 0.0973021i | ||||
\(274\) | −7.46410 | + | 27.8564i | −0.450923 | + | 1.68287i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.53590 | + | 4.39230i | −0.152643 | + | 0.264386i | ||||
\(277\) | − | 16.7846i | − | 1.00849i | −0.863561 | − | 0.504245i | \(-0.831771\pi\) | ||
0.863561 | − | 0.504245i | \(-0.168229\pi\) | |||||||
\(278\) | −9.46410 | − | 2.53590i | −0.567619 | − | 0.152093i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.92820 | −0.472957 | −0.236478 | − | 0.971637i | \(-0.575993\pi\) | ||||
−0.236478 | + | 0.971637i | \(0.575993\pi\) | |||||||
\(282\) | 4.09808 | + | 1.09808i | 0.244037 | + | 0.0653895i | ||||
\(283\) | − | 12.1244i | − | 0.720718i | −0.932814 | − | 0.360359i | \(-0.882654\pi\) | ||
0.932814 | − | 0.360359i | \(-0.117346\pi\) | |||||||
\(284\) | 7.46410 | − | 12.9282i | 0.442913 | − | 0.767148i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0455173 | − | 0.169873i | 0.00269150 | − | 0.0100448i | ||||
\(287\) | 6.00000 | − | 6.92820i | 0.354169 | − | 0.408959i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 24.7846 | 1.45792 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 23.1962i | 1.35978i | ||||||||
\(292\) | 22.3923 | + | 12.9282i | 1.31041 | + | 0.756566i | ||||
\(293\) | 20.3205 | 1.18714 | 0.593568 | − | 0.804784i | \(-0.297719\pi\) | ||||
0.593568 | + | 0.804784i | \(0.297719\pi\) | |||||||
\(294\) | 17.0263 | + | 2.02628i | 0.992993 | + | 0.118175i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 18.9282 | − | 18.9282i | 1.10018 | − | 1.10018i | ||||
\(297\) | 1.39230 | 0.0807897 | ||||||||
\(298\) | 4.19615 | + | 1.12436i | 0.243077 | + | 0.0651322i | ||||
\(299\) | −0.679492 | −0.0392960 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.00000 | − | 3.46410i | −0.230556 | − | 0.199667i | ||||
\(302\) | −5.56218 | + | 20.7583i | −0.320067 | + | 1.19451i | ||||
\(303\) | −26.7846 | −1.53874 | ||||||||
\(304\) | 12.0000 | + | 20.7846i | 0.688247 | + | 1.19208i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.73205i | 0.0988534i | 0.998778 | + | 0.0494267i | \(0.0157394\pi\) | ||||
−0.998778 | + | 0.0494267i | \(0.984261\pi\) | |||||||
\(308\) | −1.33975 | + | 0.464102i | −0.0763391 | + | 0.0264446i | ||||
\(309\) | −11.7846 | −0.670403 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.85641 | −0.445496 | −0.222748 | − | 0.974876i | \(-0.571503\pi\) | ||||
−0.222748 | + | 0.974876i | \(0.571503\pi\) | |||||||
\(312\) | −1.60770 | + | 1.60770i | −0.0910178 | + | 0.0910178i | ||||
\(313\) | −17.5359 | −0.991188 | −0.495594 | − | 0.868554i | \(-0.665050\pi\) | ||||
−0.495594 | + | 0.868554i | \(0.665050\pi\) | |||||||
\(314\) | 10.7321 | + | 2.87564i | 0.605645 | + | 0.162282i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.6603 | + | 25.3923i | −0.824704 | + | 1.42843i | ||||
\(317\) | 3.07180i | 0.172529i | 0.996272 | + | 0.0862646i | \(0.0274931\pi\) | ||||
−0.996272 | + | 0.0862646i | \(0.972507\pi\) | |||||||
\(318\) | 4.73205 | + | 1.26795i | 0.265360 | + | 0.0711031i | ||||
\(319\) | 2.12436i | 0.118941i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.14359i | 0.231273i | ||||||||
\(322\) | 3.07180 | + | 4.53590i | 0.171185 | + | 0.252776i | ||||
\(323\) | 38.7846 | 2.15803 | ||||||||
\(324\) | −15.5885 | − | 9.00000i | −0.866025 | − | 0.500000i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 28.3923 | + | 7.60770i | 1.57250 | + | 0.421351i | ||||
\(327\) | − | 3.58846i | − | 0.198442i | ||||||
\(328\) | 6.92820 | − | 6.92820i | 0.382546 | − | 0.382546i | ||||
\(329\) | 3.00000 | − | 3.46410i | 0.165395 | − | 0.190982i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.3923i | 1.45065i | 0.688405 | + | 0.725326i | \(0.258311\pi\) | ||||
−0.688405 | + | 0.725326i | \(0.741689\pi\) | |||||||
\(332\) | 15.4641 | − | 26.7846i | 0.848703 | − | 1.47000i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.90192 | + | 7.09808i | −0.104069 | + | 0.388389i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 18.0000 | + | 3.46410i | 0.981981 | + | 0.188982i | ||||
\(337\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(338\) | 17.4641 | + | 4.67949i | 0.949922 | + | 0.254531i | ||||
\(339\) | −9.46410 | −0.514019 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | − | 1.60770i | − | 0.0870616i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.0000 | − | 15.5885i | 0.539949 | − | 0.841698i | ||||
\(344\) | −4.00000 | − | 4.00000i | −0.215666 | − | 0.215666i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 19.5622 | + | 5.24167i | 1.05167 | + | 0.281794i | ||||
\(347\) | −34.2487 | −1.83857 | −0.919284 | − | 0.393596i | \(-0.871231\pi\) | ||||
−0.919284 | + | 0.393596i | \(0.871231\pi\) | |||||||
\(348\) | 13.7321 | − | 23.7846i | 0.736115 | − | 1.27499i | ||||
\(349\) | − | 5.32051i | − | 0.284800i | −0.989809 | − | 0.142400i | \(-0.954518\pi\) | ||
0.989809 | − | 0.142400i | \(-0.0454820\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 2.41154i | − | 0.128719i | ||||||
\(352\) | −1.46410 | + | 0.392305i | −0.0780369 | + | 0.0209099i | ||||
\(353\) | −7.39230 | −0.393453 | −0.196726 | − | 0.980458i | \(-0.563031\pi\) | ||||
−0.196726 | + | 0.980458i | \(0.563031\pi\) | |||||||
\(354\) | −2.19615 | + | 8.19615i | −0.116724 | + | 0.435621i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.53590 | + | 4.39230i | −0.134402 | + | 0.232792i | ||||
\(357\) | 19.3923 | − | 22.3923i | 1.02635 | − | 1.18513i | ||||
\(358\) | −2.33975 | + | 8.73205i | −0.123659 | + | 0.461503i | ||||
\(359\) | 25.3205i | 1.33637i | 0.743997 | + | 0.668183i | \(0.232928\pi\) | ||||
−0.743997 | + | 0.668183i | \(0.767072\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.0000 | 0.894737 | ||||||||
\(362\) | 0.339746 | − | 1.26795i | 0.0178567 | − | 0.0666419i | ||||
\(363\) | 18.9282i | 0.993473i | ||||||||
\(364\) | 0.803848 | + | 2.32051i | 0.0421331 | + | 0.121628i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −22.3923 | − | 6.00000i | −1.17046 | − | 0.313625i | ||||
\(367\) | 11.8756i | 0.619904i | 0.950752 | + | 0.309952i | \(0.100313\pi\) | ||||
−0.950752 | + | 0.309952i | \(0.899687\pi\) | |||||||
\(368\) | 2.92820 | + | 5.07180i | 0.152643 | + | 0.264386i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.46410 | − | 4.00000i | 0.179847 | − | 0.207670i | ||||
\(372\) | −10.3923 | + | 18.0000i | −0.538816 | + | 0.933257i | ||||
\(373\) | − | 3.60770i | − | 0.186799i | −0.995629 | − | 0.0933997i | \(-0.970227\pi\) | ||
0.995629 | − | 0.0933997i | \(-0.0297734\pi\) | |||||||
\(374\) | −0.633975 | + | 2.36603i | −0.0327820 | + | 0.122344i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.46410 | − | 3.46410i | 0.178647 | − | 0.178647i | ||||
\(377\) | 3.67949 | 0.189503 | ||||||||
\(378\) | −16.0981 | + | 10.9019i | −0.827996 | + | 0.560734i | ||||
\(379\) | 5.60770i | 0.288048i | 0.989574 | + | 0.144024i | \(0.0460042\pi\) | ||||
−0.989574 | + | 0.144024i | \(0.953996\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 26.7846i | 1.37222i | ||||||||
\(382\) | −2.63397 | + | 9.83013i | −0.134766 | + | 0.502953i | ||||
\(383\) | − | 27.4641i | − | 1.40335i | −0.712497 | − | 0.701675i | \(-0.752436\pi\) | ||
0.712497 | − | 0.701675i | \(-0.247564\pi\) | |||||||
\(384\) | 18.9282 | + | 5.07180i | 0.965926 | + | 0.258819i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.46410 | + | 12.9282i | −0.176318 | + | 0.658028i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 23.1962 | + | 13.3923i | 1.17761 | + | 0.679891i | ||||
\(389\) | 20.8564 | 1.05746 | 0.528731 | − | 0.848790i | \(-0.322668\pi\) | ||||
0.528731 | + | 0.848790i | \(0.322668\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.46410 | 0.478620 | ||||||||
\(392\) | 11.8564 | − | 15.8564i | 0.598839 | − | 0.800869i | ||||
\(393\) | − | 4.39230i | − | 0.221562i | ||||||
\(394\) | 4.87564 | − | 18.1962i | 0.245631 | − | 0.916709i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.4641 | −0.625555 | −0.312778 | − | 0.949826i | \(-0.601259\pi\) | ||||
−0.312778 | + | 0.949826i | \(0.601259\pi\) | |||||||
\(398\) | −4.73205 | − | 1.26795i | −0.237196 | − | 0.0635566i | ||||
\(399\) | 18.0000 | − | 20.7846i | 0.901127 | − | 1.04053i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −10.0718 | −0.502962 | −0.251481 | − | 0.967862i | \(-0.580918\pi\) | ||||
−0.251481 | + | 0.967862i | \(0.580918\pi\) | |||||||
\(402\) | 2.19615 | − | 8.19615i | 0.109534 | − | 0.408787i | ||||
\(403\) | −2.78461 | −0.138711 | ||||||||
\(404\) | −15.4641 | + | 26.7846i | −0.769368 | + | 1.33258i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −16.6340 | − | 24.5622i | −0.825530 | − | 1.21900i | ||||
\(407\) | 2.53590 | 0.125700 | ||||||||
\(408\) | 22.3923 | − | 22.3923i | 1.10858 | − | 1.10858i | ||||
\(409\) | 4.14359i | 0.204888i | 0.994739 | + | 0.102444i | \(0.0326662\pi\) | ||||
−0.994739 | + | 0.102444i | \(0.967334\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 35.3205 | 1.74223 | ||||||||
\(412\) | −6.80385 | + | 11.7846i | −0.335202 | + | 0.580586i | ||||
\(413\) | 6.92820 | + | 6.00000i | 0.340915 | + | 0.295241i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.679492 | + | 2.53590i | 0.0333148 | + | 0.124333i | ||||
\(417\) | 12.0000i | 0.587643i | ||||||||
\(418\) | −0.588457 | + | 2.19615i | −0.0287824 | + | 0.107417i | ||||
\(419\) | −24.2487 | −1.18463 | −0.592314 | − | 0.805708i | \(-0.701785\pi\) | ||||
−0.592314 | + | 0.805708i | \(0.701785\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 19.0000 | 0.926003 | 0.463002 | − | 0.886357i | \(-0.346772\pi\) | ||||
0.463002 | + | 0.886357i | \(0.346772\pi\) | |||||||
\(422\) | −1.16987 | + | 4.36603i | −0.0569485 | + | 0.212535i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 4.00000 | − | 4.00000i | 0.194257 | − | 0.194257i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −17.6603 | − | 4.73205i | −0.855642 | − | 0.229269i | ||||
\(427\) | −16.3923 | + | 18.9282i | −0.793279 | + | 0.916000i | ||||
\(428\) | 4.14359 | + | 2.39230i | 0.200288 | + | 0.115636i | ||||
\(429\) | −0.215390 | −0.0103991 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.5885i | 0.654533i | 0.944932 | + | 0.327266i | \(0.106127\pi\) | ||||
−0.944932 | + | 0.327266i | \(0.893873\pi\) | |||||||
\(432\) | −18.0000 | + | 10.3923i | −0.866025 | + | 0.500000i | ||||
\(433\) | −31.8564 | −1.53092 | −0.765461 | − | 0.643483i | \(-0.777489\pi\) | ||||
−0.765461 | + | 0.643483i | \(0.777489\pi\) | |||||||
\(434\) | 12.5885 | + | 18.5885i | 0.604265 | + | 0.892275i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.58846 | − | 2.07180i | −0.171856 | − | 0.0992211i | ||||
\(437\) | 8.78461 | 0.420225 | ||||||||
\(438\) | 8.19615 | − | 30.5885i | 0.391627 | − | 1.46157i | ||||
\(439\) | −39.7128 | −1.89539 | −0.947695 | − | 0.319179i | \(-0.896593\pi\) | ||||
−0.947695 | + | 0.319179i | \(0.896593\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 4.09808 | + | 1.09808i | 0.194926 | + | 0.0522302i | ||||
\(443\) | −26.0000 | −1.23530 | −0.617649 | − | 0.786454i | \(-0.711915\pi\) | ||||
−0.617649 | + | 0.786454i | \(0.711915\pi\) | |||||||
\(444\) | −28.3923 | − | 16.3923i | −1.34744 | − | 0.777944i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 5.02628 | − | 18.7583i | 0.238001 | − | 0.888233i | ||||
\(447\) | − | 5.32051i | − | 0.251651i | ||||||
\(448\) | 13.8564 | − | 16.0000i | 0.654654 | − | 0.755929i | ||||
\(449\) | −11.9282 | −0.562927 | −0.281463 | − | 0.959572i | \(-0.590820\pi\) | ||||
−0.281463 | + | 0.959572i | \(0.590820\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.928203 | 0.0437074 | ||||||||
\(452\) | −5.46410 | + | 9.46410i | −0.257010 | + | 0.445154i | ||||
\(453\) | 26.3205 | 1.23665 | ||||||||
\(454\) | 7.56218 | − | 28.2224i | 0.354911 | − | 1.32454i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 20.7846 | − | 20.7846i | 0.973329 | − | 0.973329i | ||||
\(457\) | − | 20.5359i | − | 0.960629i | −0.877096 | − | 0.480314i | \(-0.840523\pi\) | ||
0.877096 | − | 0.480314i | \(-0.159477\pi\) | |||||||
\(458\) | −3.12436 | + | 11.6603i | −0.145992 | + | 0.544848i | ||||
\(459\) | 33.5885i | 1.56777i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 27.7128i | − | 1.29071i | −0.763881 | − | 0.645357i | \(-0.776709\pi\) | ||
0.763881 | − | 0.645357i | \(-0.223291\pi\) | |||||||
\(462\) | 0.973721 | + | 1.43782i | 0.0453016 | + | 0.0668935i | ||||
\(463\) | −16.3923 | −0.761815 | −0.380908 | − | 0.924613i | \(-0.624388\pi\) | ||||
−0.380908 | + | 0.924613i | \(0.624388\pi\) | |||||||
\(464\) | −15.8564 | − | 27.4641i | −0.736115 | − | 1.27499i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.32051 | + | 12.3923i | −0.153820 | + | 0.574062i | ||||
\(467\) | 22.5167i | 1.04195i | 0.853573 | + | 0.520973i | \(0.174431\pi\) | ||||
−0.853573 | + | 0.520973i | \(0.825569\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.92820 | − | 6.00000i | −0.319915 | − | 0.277054i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | − | 13.6077i | − | 0.627009i | ||||||
\(472\) | 6.92820 | + | 6.92820i | 0.318896 | + | 0.318896i | ||||
\(473\) | − | 0.535898i | − | 0.0246406i | ||||||
\(474\) | 34.6865 | + | 9.29423i | 1.59321 | + | 0.426898i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −11.1962 | − | 32.3205i | −0.513175 | − | 1.48141i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −8.77757 | + | 32.7583i | −0.401477 | + | 1.49833i | ||||
\(479\) | 25.1769 | 1.15036 | 0.575181 | − | 0.818026i | \(-0.304932\pi\) | ||||
0.575181 | + | 0.818026i | \(0.304932\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 4.39230i | − | 0.200272i | ||||||
\(482\) | −6.00000 | + | 22.3923i | −0.273293 | + | 1.01994i | ||||
\(483\) | 4.39230 | − | 5.07180i | 0.199857 | − | 0.230775i | ||||
\(484\) | 18.9282 | + | 10.9282i | 0.860373 | + | 0.496737i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 12.7846 | 0.579326 | 0.289663 | − | 0.957129i | \(-0.406457\pi\) | ||||
0.289663 | + | 0.957129i | \(0.406457\pi\) | |||||||
\(488\) | −18.9282 | + | 18.9282i | −0.856840 | + | 0.856840i | ||||
\(489\) | − | 36.0000i | − | 1.62798i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.87564i | 0.445682i | 0.974855 | + | 0.222841i | \(0.0715330\pi\) | ||||
−0.974855 | + | 0.222841i | \(0.928467\pi\) | |||||||
\(492\) | −10.3923 | − | 6.00000i | −0.468521 | − | 0.270501i | ||||
\(493\) | −51.2487 | −2.30813 | ||||||||
\(494\) | 3.80385 | + | 1.01924i | 0.171143 | + | 0.0458577i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 12.0000 | + | 20.7846i | 0.538816 | + | 0.933257i | ||||
\(497\) | −12.9282 | + | 14.9282i | −0.579909 | + | 0.669621i | ||||
\(498\) | −36.5885 | − | 9.80385i | −1.63957 | − | 0.439321i | ||||
\(499\) | 25.5885i | 1.14550i | 0.819731 | + | 0.572748i | \(0.194123\pi\) | ||||
−0.819731 | + | 0.572748i | \(0.805877\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 9.00000 | 0.402090 | ||||||||
\(502\) | −35.3205 | − | 9.46410i | −1.57643 | − | 0.422404i | ||||
\(503\) | 15.5885i | 0.695055i | 0.937670 | + | 0.347527i | \(0.112979\pi\) | ||||
−0.937670 | + | 0.347527i | \(0.887021\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −0.143594 | + | 0.535898i | −0.00638351 | + | 0.0238236i | ||||
\(507\) | − | 22.1436i | − | 0.983432i | ||||||
\(508\) | 26.7846 | + | 15.4641i | 1.18837 | + | 0.686109i | ||||
\(509\) | 25.8564i | 1.14607i | 0.819533 | + | 0.573033i | \(0.194233\pi\) | ||||
−0.819533 | + | 0.573033i | \(0.805767\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −25.8564 | − | 22.3923i | −1.14382 | − | 0.990577i | ||||
\(512\) | 16.0000 | − | 16.0000i | 0.707107 | − | 0.707107i | ||||
\(513\) | 31.1769i | 1.37649i | ||||||||
\(514\) | 8.19615 | + | 2.19615i | 0.361517 | + | 0.0968681i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.46410 | + | 6.00000i | −0.152499 | + | 0.264135i | ||||
\(517\) | 0.464102 | 0.0204112 | ||||||||
\(518\) | −29.3205 | + | 19.8564i | −1.28827 | + | 0.872440i | ||||
\(519\) | − | 24.8038i | − | 1.08877i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 13.6077i | − | 0.596164i | −0.954540 | − | 0.298082i | \(-0.903653\pi\) | ||
0.954540 | − | 0.298082i | \(-0.0963469\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 24.2487i | 1.06032i | 0.847897 | + | 0.530161i | \(0.177869\pi\) | ||||
−0.847897 | + | 0.530161i | \(0.822131\pi\) | |||||||
\(524\) | −4.39230 | − | 2.53590i | −0.191879 | − | 0.110781i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.6603 | + | 4.19615i | 0.682820 | + | 0.182961i | ||||
\(527\) | 38.7846 | 1.68948 | ||||||||
\(528\) | 0.928203 | + | 1.60770i | 0.0403949 | + | 0.0699660i | ||||
\(529\) | −20.8564 | −0.906800 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −10.3923 | − | 30.0000i | −0.450564 | − | 1.30066i | ||||
\(533\) | − | 1.60770i | − | 0.0696370i | ||||||
\(534\) | 6.00000 | + | 1.60770i | 0.259645 | + | 0.0695718i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −6.92820 | − | 6.92820i | −0.299253 | − | 0.299253i | ||||
\(537\) | 11.0718 | 0.477783 | ||||||||
\(538\) | −4.39230 | + | 16.3923i | −0.189366 | + | 0.706722i | ||||
\(539\) | 1.85641 | − | 0.267949i | 0.0799611 | − | 0.0115414i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7.78461 | 0.334687 | 0.167343 | − | 0.985899i | \(-0.446481\pi\) | ||||
0.167343 | + | 0.985899i | \(0.446481\pi\) | |||||||
\(542\) | 12.9282 | + | 3.46410i | 0.555314 | + | 0.148796i | ||||
\(543\) | −1.60770 | −0.0689928 | ||||||||
\(544\) | −9.46410 | − | 35.3205i | −0.405770 | − | 1.51435i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 2.49038 | − | 1.68653i | 0.106578 | − | 0.0721770i | ||||
\(547\) | −21.4641 | −0.917739 | −0.458869 | − | 0.888504i | \(-0.651745\pi\) | ||||
−0.458869 | + | 0.888504i | \(0.651745\pi\) | |||||||
\(548\) | 20.3923 | − | 35.3205i | 0.871116 | − | 1.50882i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −47.5692 | −2.02652 | ||||||||
\(552\) | 5.07180 | − | 5.07180i | 0.215870 | − | 0.215870i | ||||
\(553\) | 25.3923 | − | 29.3205i | 1.07979 | − | 1.24683i | ||||
\(554\) | −6.14359 | + | 22.9282i | −0.261016 | + | 0.974126i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 12.0000 | + | 6.92820i | 0.508913 | + | 0.293821i | ||||
\(557\) | 21.8564i | 0.926086i | 0.886336 | + | 0.463043i | \(0.153242\pi\) | ||||
−0.886336 | + | 0.463043i | \(0.846758\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.928203 | −0.0392588 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.00000 | 0.126660 | ||||||||
\(562\) | 10.8301 | + | 2.90192i | 0.456841 | + | 0.122410i | ||||
\(563\) | − | 19.1769i | − | 0.808211i | −0.914712 | − | 0.404105i | \(-0.867583\pi\) | ||
0.914712 | − | 0.404105i | \(-0.132417\pi\) | |||||||
\(564\) | −5.19615 | − | 3.00000i | −0.218797 | − | 0.126323i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −4.43782 | + | 16.5622i | −0.186536 | + | 0.696160i | ||||
\(567\) | 18.0000 | + | 15.5885i | 0.755929 | + | 0.654654i | ||||
\(568\) | −14.9282 | + | 14.9282i | −0.626373 | + | 0.626373i | ||||
\(569\) | −7.07180 | −0.296465 | −0.148233 | − | 0.988953i | \(-0.547358\pi\) | ||||
−0.148233 | + | 0.988953i | \(0.547358\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.67949i | 0.279528i | 0.990185 | + | 0.139764i | \(0.0446344\pi\) | ||||
−0.990185 | + | 0.139764i | \(0.955366\pi\) | |||||||
\(572\) | −0.124356 | + | 0.215390i | −0.00519957 | + | 0.00900592i | ||||
\(573\) | 12.4641 | 0.520695 | ||||||||
\(574\) | −10.7321 | + | 7.26795i | −0.447947 | + | 0.303358i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.3923 | −0.807312 | −0.403656 | − | 0.914911i | \(-0.632261\pi\) | ||||
−0.403656 | + | 0.914911i | \(0.632261\pi\) | |||||||
\(578\) | −33.8564 | − | 9.07180i | −1.40824 | − | 0.377337i | ||||
\(579\) | 16.3923 | 0.681241 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −26.7846 | + | 30.9282i | −1.11121 | + | 1.28312i | ||||
\(582\) | 8.49038 | − | 31.6865i | 0.351938 | − | 1.31345i | ||||
\(583\) | 0.535898 | 0.0221946 | ||||||||
\(584\) | −25.8564 | − | 25.8564i | −1.06995 | − | 1.06995i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −27.7583 | − | 7.43782i | −1.14669 | − | 0.307254i | ||||
\(587\) | − | 20.5359i | − | 0.847607i | −0.905754 | − | 0.423804i | \(-0.860695\pi\) | ||
0.905754 | − | 0.423804i | \(-0.139305\pi\) | |||||||
\(588\) | −22.5167 | − | 9.00000i | −0.928571 | − | 0.371154i | ||||
\(589\) | 36.0000 | 1.48335 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −23.0718 | −0.949047 | ||||||||
\(592\) | −32.7846 | + | 18.9282i | −1.34744 | + | 0.777944i | ||||
\(593\) | 30.4641 | 1.25101 | 0.625505 | − | 0.780220i | \(-0.284893\pi\) | ||||
0.625505 | + | 0.780220i | \(0.284893\pi\) | |||||||
\(594\) | −1.90192 | − | 0.509619i | −0.0780369 | − | 0.0209099i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −5.32051 | − | 3.07180i | −0.217937 | − | 0.125826i | ||||
\(597\) | 6.00000i | 0.245564i | ||||||||
\(598\) | 0.928203 | + | 0.248711i | 0.0379571 | + | 0.0101706i | ||||
\(599\) | − | 10.1244i | − | 0.413670i | −0.978376 | − | 0.206835i | \(-0.933684\pi\) | ||
0.978376 | − | 0.206835i | \(-0.0663163\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.7846i | 0.603077i | 0.953454 | + | 0.301538i | \(0.0975001\pi\) | ||||
−0.953454 | + | 0.301538i | \(0.902500\pi\) | |||||||
\(602\) | 4.19615 | + | 6.19615i | 0.171022 | + | 0.252536i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 15.1962 | − | 26.3205i | 0.618323 | − | 1.07097i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 36.5885 | + | 9.80385i | 1.48630 | + | 0.398254i | ||||
\(607\) | − | 29.1962i | − | 1.18504i | −0.805557 | − | 0.592518i | \(-0.798134\pi\) | ||
0.805557 | − | 0.592518i | \(-0.201866\pi\) | |||||||
\(608\) | −8.78461 | − | 32.7846i | −0.356263 | − | 1.32959i | ||||
\(609\) | −23.7846 | + | 27.4641i | −0.963801 | + | 1.11290i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 0.803848i | − | 0.0325202i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 10.0000i | − | 0.403896i | −0.979396 | − | 0.201948i | \(-0.935273\pi\) | ||
0.979396 | − | 0.201948i | \(-0.0647272\pi\) | |||||||
\(614\) | 0.633975 | − | 2.36603i | 0.0255851 | − | 0.0954850i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.00000 | − | 0.143594i | 0.0805823 | − | 0.00578555i | ||||
\(617\) | 22.9282i | 0.923055i | 0.887126 | + | 0.461527i | \(0.152698\pi\) | ||||
−0.887126 | + | 0.461527i | \(0.847302\pi\) | |||||||
\(618\) | 16.0981 | + | 4.31347i | 0.647560 | + | 0.173513i | ||||
\(619\) | 0.679492 | 0.0273111 | 0.0136555 | − | 0.999907i | \(-0.495653\pi\) | ||||
0.0136555 | + | 0.999907i | \(0.495653\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 7.60770i | 0.305286i | ||||||||
\(622\) | 10.7321 | + | 2.87564i | 0.430316 | + | 0.115303i | ||||
\(623\) | 4.39230 | − | 5.07180i | 0.175974 | − | 0.203197i | ||||
\(624\) | 2.78461 | − | 1.60770i | 0.111474 | − | 0.0643593i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 23.9545 | + | 6.41858i | 0.957414 | + | 0.256538i | ||||
\(627\) | 2.78461 | 0.111207 | ||||||||
\(628\) | −13.6077 | − | 7.85641i | −0.543006 | − | 0.313505i | ||||
\(629\) | 61.1769i | 2.43928i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 38.9090i | − | 1.54894i | −0.632610 | − | 0.774471i | \(-0.718016\pi\) | ||
0.632610 | − | 0.774471i | \(-0.281984\pi\) | |||||||
\(632\) | 29.3205 | − | 29.3205i | 1.16631 | − | 1.16631i | ||||
\(633\) | 5.53590 | 0.220032 | ||||||||
\(634\) | 1.12436 | − | 4.19615i | 0.0446539 | − | 0.166651i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −6.00000 | − | 3.46410i | −0.237915 | − | 0.137361i | ||||
\(637\) | −0.464102 | − | 3.21539i | −0.0183884 | − | 0.127398i | ||||
\(638\) | 0.777568 | − | 2.90192i | 0.0307842 | − | 0.114888i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.92820 | 0.352643 | 0.176321 | − | 0.984333i | \(-0.443580\pi\) | ||||
0.176321 | + | 0.984333i | \(0.443580\pi\) | |||||||
\(642\) | 1.51666 | − | 5.66025i | 0.0598578 | − | 0.223392i | ||||
\(643\) | − | 7.05256i | − | 0.278126i | −0.990284 | − | 0.139063i | \(-0.955591\pi\) | ||
0.990284 | − | 0.139063i | \(-0.0444090\pi\) | |||||||
\(644\) | −2.53590 | − | 7.32051i | −0.0999284 | − | 0.288468i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −52.9808 | − | 14.1962i | −2.08450 | − | 0.558540i | ||||
\(647\) | − | 10.3923i | − | 0.408564i | −0.978912 | − | 0.204282i | \(-0.934514\pi\) | ||
0.978912 | − | 0.204282i | \(-0.0654859\pi\) | |||||||
\(648\) | 18.0000 | + | 18.0000i | 0.707107 | + | 0.707107i | ||||
\(649\) | 0.928203i | 0.0364352i | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 18.0000 | − | 20.7846i | 0.705476 | − | 0.814613i | ||||
\(652\) | −36.0000 | − | 20.7846i | −1.40987 | − | 0.813988i | ||||
\(653\) | 17.6077i | 0.689042i | 0.938779 | + | 0.344521i | \(0.111959\pi\) | ||||
−0.938779 | + | 0.344521i | \(0.888041\pi\) | |||||||
\(654\) | −1.31347 | + | 4.90192i | −0.0513606 | + | 0.191680i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −12.0000 | + | 6.92820i | −0.468521 | + | 0.270501i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −5.36603 | + | 3.63397i | −0.209189 | + | 0.141667i | ||||
\(659\) | − | 31.1962i | − | 1.21523i | −0.794232 | − | 0.607615i | \(-0.792126\pi\) | ||
0.794232 | − | 0.607615i | \(-0.207874\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 39.7128i | − | 1.54465i | −0.635228 | − | 0.772325i | \(-0.719094\pi\) | ||
0.635228 | − | 0.772325i | \(-0.280906\pi\) | |||||||
\(662\) | 9.66025 | − | 36.0526i | 0.375456 | − | 1.40122i | ||||
\(663\) | − | 5.19615i | − | 0.201802i | ||||||
\(664\) | −30.9282 | + | 30.9282i | −1.20025 | + | 1.20025i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −11.6077 | −0.449452 | ||||||||
\(668\) | 5.19615 | − | 9.00000i | 0.201045 | − | 0.348220i | ||||
\(669\) | −23.7846 | −0.919566 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.53590 | −0.0978973 | ||||||||
\(672\) | −23.3205 | − | 11.3205i | −0.899608 | − | 0.436698i | ||||
\(673\) | − | 13.1769i | − | 0.507933i | −0.967213 | − | 0.253966i | \(-0.918265\pi\) | ||
0.967213 | − | 0.253966i | \(-0.0817353\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −22.1436 | − | 12.7846i | −0.851677 | − | 0.491716i | ||||
\(677\) | 25.3923 | 0.975906 | 0.487953 | − | 0.872870i | \(-0.337744\pi\) | ||||
0.487953 | + | 0.872870i | \(0.337744\pi\) | |||||||
\(678\) | 12.9282 | + | 3.46410i | 0.496505 | + | 0.133038i | ||||
\(679\) | −26.7846 | − | 23.1962i | −1.02790 | − | 0.890187i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −35.7846 | −1.37127 | ||||||||
\(682\) | −0.588457 | + | 2.19615i | −0.0225332 | + | 0.0840950i | ||||
\(683\) | 7.32051 | 0.280111 | 0.140056 | − | 0.990144i | \(-0.455272\pi\) | ||||
0.140056 | + | 0.990144i | \(0.455272\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −19.3660 | + | 17.6340i | −0.739398 | + | 0.673268i | ||||
\(687\) | 14.7846 | 0.564068 | ||||||||
\(688\) | 4.00000 | + | 6.92820i | 0.152499 | + | 0.264135i | ||||
\(689\) | − | 0.928203i | − | 0.0353617i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.6410 | 0.861305 | 0.430652 | − | 0.902518i | \(-0.358283\pi\) | ||||
0.430652 | + | 0.902518i | \(0.358283\pi\) | |||||||
\(692\) | −24.8038 | − | 14.3205i | −0.942901 | − | 0.544384i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 46.7846 | + | 12.5359i | 1.77592 | + | 0.475856i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −27.4641 | + | 27.4641i | −1.04102 | + | 1.04102i | ||||
\(697\) | 22.3923i | 0.848169i | ||||||||
\(698\) | −1.94744 | + | 7.26795i | −0.0737117 | + | 0.275096i | ||||
\(699\) | 15.7128 | 0.594313 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −37.7846 | −1.42711 | −0.713553 | − | 0.700602i | \(-0.752915\pi\) | ||||
−0.713553 | + | 0.700602i | \(0.752915\pi\) | |||||||
\(702\) | −0.882686 | + | 3.29423i | −0.0333148 | + | 0.124333i | ||||
\(703\) | 56.7846i | 2.14167i | ||||||||
\(704\) | 2.14359 | 0.0807897 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.0981 | + | 2.70577i | 0.380046 | + | 0.101833i | ||||
\(707\) | 26.7846 | − | 30.9282i | 1.00734 | − | 1.16317i | ||||
\(708\) | 6.00000 | − | 10.3923i | 0.225494 | − | 0.390567i | ||||
\(709\) | −21.0000 | −0.788672 | −0.394336 | − | 0.918966i | \(-0.629025\pi\) | ||||
−0.394336 | + | 0.918966i | \(0.629025\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 5.07180 | − | 5.07180i | 0.190074 | − | 0.190074i | ||||
\(713\) | 8.78461 | 0.328986 | ||||||||
\(714\) | −34.6865 | + | 23.4904i | −1.29811 | + | 0.879105i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 6.39230 | − | 11.0718i | 0.238892 | − | 0.413772i | ||||
\(717\) | 41.5359 | 1.55119 | ||||||||
\(718\) | 9.26795 | − | 34.5885i | 0.345877 | − | 1.29083i | ||||
\(719\) | 38.5359 | 1.43715 | 0.718573 | − | 0.695451i | \(-0.244795\pi\) | ||||
0.718573 | + | 0.695451i | \(0.244795\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.7846 | − | 13.6077i | 0.438882 | − | 0.506777i | ||||
\(722\) | −23.2224 | − | 6.22243i | −0.864249 | − | 0.231575i | ||||
\(723\) | 28.3923 | 1.05592 | ||||||||
\(724\) | −0.928203 | + | 1.60770i | −0.0344964 | + | 0.0597495i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.92820 | − | 25.8564i | 0.257130 | − | 0.959621i | ||||
\(727\) | − | 13.6077i | − | 0.504681i | −0.967638 | − | 0.252341i | \(-0.918800\pi\) | ||
0.967638 | − | 0.252341i | \(-0.0812004\pi\) | |||||||
\(728\) | −0.248711 | − | 3.46410i | −0.00921785 | − | 0.128388i | ||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 12.9282 | 0.478167 | ||||||||
\(732\) | 28.3923 | + | 16.3923i | 1.04941 | + | 0.605877i | ||||
\(733\) | 11.5359 | 0.426088 | 0.213044 | − | 0.977043i | \(-0.431662\pi\) | ||||
0.213044 | + | 0.977043i | \(0.431662\pi\) | |||||||
\(734\) | 4.34679 | − | 16.2224i | 0.160443 | − | 0.598781i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.14359 | − | 8.00000i | −0.0790139 | − | 0.294884i | ||||
\(737\) | − | 0.928203i | − | 0.0341908i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 4.26795i | − | 0.156999i | −0.996914 | − | 0.0784995i | \(-0.974987\pi\) | ||
0.996914 | − | 0.0784995i | \(-0.0250129\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | − | 4.82309i | − | 0.177180i | ||||||
\(742\) | −6.19615 | + | 4.19615i | −0.227468 | + | 0.154046i | ||||
\(743\) | 30.3923 | 1.11499 | 0.557493 | − | 0.830182i | \(-0.311763\pi\) | ||||
0.557493 | + | 0.830182i | \(0.311763\pi\) | |||||||
\(744\) | 20.7846 | − | 20.7846i | 0.762001 | − | 0.762001i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −1.32051 | + | 4.92820i | −0.0483472 | + | 0.180434i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.73205 | − | 3.00000i | 0.0633300 | − | 0.109691i | ||||
\(749\) | −4.78461 | − | 4.14359i | −0.174826 | − | 0.151404i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 25.5885i | 0.933736i | 0.884327 | + | 0.466868i | \(0.154618\pi\) | ||||
−0.884327 | + | 0.466868i | \(0.845382\pi\) | |||||||
\(752\) | −6.00000 | + | 3.46410i | −0.218797 | + | 0.126323i | ||||
\(753\) | 44.7846i | 1.63204i | ||||||||
\(754\) | −5.02628 | − | 1.34679i | −0.183046 | − | 0.0490471i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 25.9808 | − | 9.00000i | 0.944911 | − | 0.327327i | ||||
\(757\) | − | 37.8564i | − | 1.37591i | −0.725751 | − | 0.687957i | \(-0.758508\pi\) | ||
0.725751 | − | 0.687957i | \(-0.241492\pi\) | |||||||
\(758\) | 2.05256 | − | 7.66025i | 0.0745523 | − | 0.278233i | ||||
\(759\) | 0.679492 | 0.0246640 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 42.2487i | 1.53151i | 0.643130 | + | 0.765757i | \(0.277636\pi\) | ||||
−0.643130 | + | 0.765757i | \(0.722364\pi\) | |||||||
\(762\) | 9.80385 | − | 36.5885i | 0.355156 | − | 1.32546i | ||||
\(763\) | 4.14359 | + | 3.58846i | 0.150008 | + | 0.129911i | ||||
\(764\) | 7.19615 | − | 12.4641i | 0.260348 | − | 0.450935i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.0526 | + | 37.5167i | −0.363214 | + | 1.35553i | ||||
\(767\) | 1.60770 | 0.0580505 | ||||||||
\(768\) | −24.0000 | − | 13.8564i | −0.866025 | − | 0.500000i | ||||
\(769\) | 18.0000i | 0.649097i | 0.945869 | + | 0.324548i | \(0.105212\pi\) | ||||
−0.945869 | + | 0.324548i | \(0.894788\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 10.3923i | − | 0.374270i | ||||||
\(772\) | 9.46410 | − | 16.3923i | 0.340620 | − | 0.589972i | ||||
\(773\) | −5.53590 | −0.199112 | −0.0995562 | − | 0.995032i | \(-0.531742\pi\) | ||||
−0.0995562 | + | 0.995032i | \(0.531742\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −26.7846 | − | 26.7846i | −0.961511 | − | 0.961511i | ||||
\(777\) | 32.7846 | + | 28.3923i | 1.17614 | + | 1.01857i | ||||
\(778\) | −28.4904 | − | 7.63397i | −1.02143 | − | 0.273691i | ||||
\(779\) | 20.7846i | 0.744686i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.00000 | −0.0715656 | ||||||||
\(782\) | −12.9282 | − | 3.46410i | −0.462312 | − | 0.123876i | ||||
\(783\) | − | 41.1962i | − | 1.47223i | ||||||
\(784\) | −22.0000 | + | 17.3205i | −0.785714 | + | 0.618590i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −1.60770 | + | 6.00000i | −0.0573446 | + | 0.214013i | ||||
\(787\) | 32.6603i | 1.16421i | 0.813113 | + | 0.582106i | \(0.197771\pi\) | ||||
−0.813113 | + | 0.582106i | \(0.802229\pi\) | |||||||
\(788\) | −13.3205 | + | 23.0718i | −0.474523 | + | 0.821899i | ||||
\(789\) | − | 19.8564i | − | 0.706907i | ||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.46410 | − | 10.9282i | 0.336505 | − | 0.388562i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.39230i | 0.155975i | ||||||||
\(794\) | 17.0263 | + | 4.56218i | 0.604240 | + | 0.161906i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.00000 | + | 3.46410i | 0.212664 | + | 0.122782i | ||||
\(797\) | 22.1769 | 0.785547 | 0.392773 | − | 0.919635i | \(-0.371516\pi\) | ||||
0.392773 | + | 0.919635i | \(0.371516\pi\) | |||||||
\(798\) | −32.1962 | + | 21.8038i | −1.13973 | + | 0.771848i | ||||
\(799\) | 11.1962i | 0.396091i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 13.7583 | + | 3.68653i | 0.485824 | + | 0.130176i | ||||
\(803\) | − | 3.46410i | − | 0.122245i | ||||||
\(804\) | −6.00000 | + | 10.3923i | −0.211604 | + | 0.366508i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 3.80385 | + | 1.01924i | 0.133985 | + | 0.0359011i | ||||
\(807\) | 20.7846 | 0.731653 | ||||||||
\(808\) | 30.9282 | − | 30.9282i | 1.08805 | − | 1.08805i | ||||
\(809\) | −7.92820 | −0.278741 | −0.139370 | − | 0.990240i | \(-0.544508\pi\) | ||||
−0.139370 | + | 0.990240i | \(0.544508\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −29.0718 | −1.02085 | −0.510424 | − | 0.859923i | \(-0.670512\pi\) | ||||
−0.510424 | + | 0.859923i | \(0.670512\pi\) | |||||||
\(812\) | 13.7321 | + | 39.6410i | 0.481901 | + | 1.39113i | ||||
\(813\) | − | 16.3923i | − | 0.574903i | ||||||
\(814\) | −3.46410 | − | 0.928203i | −0.121417 | − | 0.0325335i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −38.7846 | + | 22.3923i | −1.35773 | + | 0.783887i | ||||
\(817\) | 12.0000 | 0.419827 | ||||||||
\(818\) | 1.51666 | − | 5.66025i | 0.0530288 | − | 0.197906i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 27.7846 | 0.969690 | 0.484845 | − | 0.874600i | \(-0.338876\pi\) | ||||
0.484845 | + | 0.874600i | \(0.338876\pi\) | |||||||
\(822\) | −48.2487 | − | 12.9282i | −1.68287 | − | 0.450923i | ||||
\(823\) | 11.0718 | 0.385939 | 0.192969 | − | 0.981205i | \(-0.438188\pi\) | ||||
0.192969 | + | 0.981205i | \(0.438188\pi\) | |||||||
\(824\) | 13.6077 | − | 13.6077i | 0.474047 | − | 0.474047i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −7.26795 | − | 10.7321i | −0.252884 | − | 0.373416i | ||||
\(827\) | −14.1436 | −0.491821 | −0.245910 | − | 0.969293i | \(-0.579087\pi\) | ||||
−0.245910 | + | 0.969293i | \(0.579087\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.248711i | 0.00863810i | 0.999991 | + | 0.00431905i | \(0.00137480\pi\) | ||||
−0.999991 | + | 0.00431905i | \(0.998625\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 29.0718 | 1.00849 | ||||||||
\(832\) | − | 3.71281i | − | 0.128719i | ||||||
\(833\) | 6.46410 | + | 44.7846i | 0.223968 | + | 1.55169i | ||||
\(834\) | 4.39230 | − | 16.3923i | 0.152093 | − | 0.567619i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 1.60770 | − | 2.78461i | 0.0556033 | − | 0.0963077i | ||||
\(837\) | 31.1769i | 1.07763i | ||||||||
\(838\) | 33.1244 | + | 8.87564i | 1.14426 | + | 0.306604i | ||||
\(839\) | 4.39230 | 0.151639 | 0.0758196 | − | 0.997122i | \(-0.475843\pi\) | ||||
0.0758196 | + | 0.997122i | \(0.475843\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 33.8564 | 1.16746 | ||||||||
\(842\) | −25.9545 | − | 6.95448i | −0.894451 | − | 0.239667i | ||||
\(843\) | − | 13.7321i | − | 0.472957i | ||||||
\(844\) | 3.19615 | − | 5.53590i | 0.110016 | − | 0.190553i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −21.8564 | − | 18.9282i | −0.750995 | − | 0.650381i | ||||
\(848\) | −6.92820 | + | 4.00000i | −0.237915 | + | 0.137361i | ||||
\(849\) | 21.0000 | 0.720718 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 13.8564i | 0.474991i | ||||||||
\(852\) | 22.3923 | + | 12.9282i | 0.767148 | + | 0.442913i | ||||
\(853\) | −2.78461 | −0.0953432 | −0.0476716 | − | 0.998863i | \(-0.515180\pi\) | ||||
−0.0476716 | + | 0.998863i | \(0.515180\pi\) | |||||||
\(854\) | 29.3205 | − | 19.8564i | 1.00333 | − | 0.679472i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.78461 | − | 4.78461i | −0.163535 | − | 0.163535i | ||||
\(857\) | −57.7128 | −1.97143 | −0.985716 | − | 0.168416i | \(-0.946135\pi\) | ||||
−0.985716 | + | 0.168416i | \(0.946135\pi\) | |||||||
\(858\) | 0.294229 | + | 0.0788383i | 0.0100448 | + | 0.00269150i | ||||
\(859\) | 39.7128 | 1.35498 | 0.677492 | − | 0.735530i | \(-0.263067\pi\) | ||||
0.677492 | + | 0.735530i | \(0.263067\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 12.0000 | + | 10.3923i | 0.408959 | + | 0.354169i | ||||
\(862\) | 4.97372 | − | 18.5622i | 0.169406 | − | 0.632230i | ||||
\(863\) | −39.8564 | −1.35673 | −0.678364 | − | 0.734726i | \(-0.737311\pi\) | ||||
−0.678364 | + | 0.734726i | \(0.737311\pi\) | |||||||
\(864\) | 28.3923 | − | 7.60770i | 0.965926 | − | 0.258819i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 43.5167 | + | 11.6603i | 1.47876 | + | 0.396232i | ||||
\(867\) | 42.9282i | 1.45792i | ||||||||
\(868\) | −10.3923 | − | 30.0000i | −0.352738 | − | 1.01827i | ||||
\(869\) | 3.92820 | 0.133255 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.60770 | −0.0544747 | ||||||||
\(872\) | 4.14359 | + | 4.14359i | 0.140320 | + | 0.140320i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −12.0000 | − | 3.21539i | −0.405906 | − | 0.108762i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −22.3923 | + | 38.7846i | −0.756566 | + | 1.31041i | ||||
\(877\) | 18.3923i | 0.621064i | 0.950563 | + | 0.310532i | \(0.100507\pi\) | ||||
−0.950563 | + | 0.310532i | \(0.899493\pi\) | |||||||
\(878\) | 54.2487 | + | 14.5359i | 1.83081 | + | 0.490563i | ||||
\(879\) | 35.1962i | 1.18714i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 29.0718i | 0.979454i | 0.871876 | + | 0.489727i | \(0.162904\pi\) | ||||
−0.871876 | + | 0.489727i | \(0.837096\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.6077 | −0.794462 | −0.397231 | − | 0.917719i | \(-0.630029\pi\) | ||||
−0.397231 | + | 0.917719i | \(0.630029\pi\) | |||||||
\(884\) | −5.19615 | − | 3.00000i | −0.174766 | − | 0.100901i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 35.5167 | + | 9.51666i | 1.19321 | + | 0.319718i | ||||
\(887\) | − | 8.53590i | − | 0.286607i | −0.989679 | − | 0.143304i | \(-0.954227\pi\) | ||
0.989679 | − | 0.143304i | \(-0.0457726\pi\) | |||||||
\(888\) | 32.7846 | + | 32.7846i | 1.10018 | + | 1.10018i | ||||
\(889\) | −30.9282 | − | 26.7846i | −1.03730 | − | 0.898327i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.41154i | 0.0807897i | ||||||||
\(892\) | −13.7321 | + | 23.7846i | −0.459783 | + | 0.796368i | ||||
\(893\) | 10.3923i | 0.347765i | ||||||||
\(894\) | −1.94744 | + | 7.26795i | −0.0651322 | + | 0.243077i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −24.7846 | + | 16.7846i | −0.827996 | + | 0.560734i | ||||
\(897\) | − | 1.17691i | − | 0.0392960i | ||||||
\(898\) | 16.2942 | + | 4.36603i | 0.543745 | + | 0.145696i | ||||
\(899\) | −47.5692 | −1.58652 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.9282i | 0.430701i | ||||||||
\(902\) | −1.26795 | − | 0.339746i | −0.0422181 | − | 0.0113123i | ||||
\(903\) | 6.00000 | − | 6.92820i | 0.199667 | − | 0.230556i | ||||
\(904\) | 10.9282 | − | 10.9282i | 0.363467 | − | 0.363467i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −35.9545 | − | 9.63397i | −1.19451 | − | 0.320067i | ||||
\(907\) | 32.3923 | 1.07557 | 0.537784 | − | 0.843082i | \(-0.319261\pi\) | ||||
0.537784 | + | 0.843082i | \(0.319261\pi\) | |||||||
\(908\) | −20.6603 | + | 35.7846i | −0.685635 | + | 1.18755i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 20.2487i | 0.670870i | 0.942063 | + | 0.335435i | \(0.108883\pi\) | ||||
−0.942063 | + | 0.335435i | \(0.891117\pi\) | |||||||
\(912\) | −36.0000 | + | 20.7846i | −1.19208 | + | 0.688247i | ||||
\(913\) | −4.14359 | −0.137133 | ||||||||
\(914\) | −7.51666 | + | 28.0526i | −0.248629 | + | 0.927896i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 8.53590 | − | 14.7846i | 0.282034 | − | 0.488497i | ||||
\(917\) | 5.07180 | + | 4.39230i | 0.167485 | + | 0.145047i | ||||
\(918\) | 12.2942 | − | 45.8827i | 0.405770 | − | 1.51435i | ||||
\(919\) | − | 6.41154i | − | 0.211497i | −0.994393 | − | 0.105749i | \(-0.966276\pi\) | ||
0.994393 | − | 0.105749i | \(-0.0337239\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.00000 | −0.0988534 | ||||||||
\(922\) | −10.1436 | + | 37.8564i | −0.334061 | + | 1.24673i | ||||
\(923\) | 3.46410i | 0.114022i | ||||||||
\(924\) | −0.803848 | − | 2.32051i | −0.0264446 | − | 0.0763391i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 22.3923 | + | 6.00000i | 0.735857 | + | 0.197172i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 11.6077 | + | 43.3205i | 0.381041 | + | 1.42207i | ||||
\(929\) | − | 54.4974i | − | 1.78800i | −0.448065 | − | 0.894001i | \(-0.647887\pi\) | ||
0.448065 | − | 0.894001i | \(-0.352113\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.00000 | + | 41.5692i | 0.196642 | + | 1.36238i | ||||
\(932\) | 9.07180 | − | 15.7128i | 0.297157 | − | 0.514690i | ||||
\(933\) | − | 13.6077i | − | 0.445496i | ||||||
\(934\) | 8.24167 | − | 30.7583i | 0.269676 | − | 1.00644i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 25.3923 | 0.829530 | 0.414765 | − | 0.909928i | \(-0.363864\pi\) | ||||
0.414765 | + | 0.909928i | \(0.363864\pi\) | |||||||
\(938\) | 7.26795 | + | 10.7321i | 0.237307 | + | 0.350414i | ||||
\(939\) | − | 30.3731i | − | 0.991188i | ||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 39.0333i | − | 1.27245i | −0.771504 | − | 0.636225i | \(-0.780495\pi\) | ||
0.771504 | − | 0.636225i | \(-0.219505\pi\) | |||||||
\(942\) | −4.98076 | + | 18.5885i | −0.162282 | + | 0.605645i | ||||
\(943\) | 5.07180i | 0.165160i | ||||||||
\(944\) | −6.92820 | − | 12.0000i | −0.225494 | − | 0.390567i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.196152 | + | 0.732051i | −0.00637747 | + | 0.0238010i | ||||
\(947\) | −22.7846 | −0.740400 | −0.370200 | − | 0.928952i | \(-0.620711\pi\) | ||||
−0.370200 | + | 0.928952i | \(0.620711\pi\) | |||||||
\(948\) | −43.9808 | − | 25.3923i | −1.42843 | − | 0.824704i | ||||
\(949\) | −6.00000 | −0.194768 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −5.32051 | −0.172529 | ||||||||
\(952\) | 3.46410 | + | 48.2487i | 0.112272 | + | 1.56375i | ||||
\(953\) | 21.3205i | 0.690639i | 0.938485 | + | 0.345320i | \(0.112229\pi\) | ||||
−0.938485 | + | 0.345320i | \(0.887771\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 23.9808 | − | 41.5359i | 0.775593 | − | 1.34337i | ||||
\(957\) | −3.67949 | −0.118941 | ||||||||
\(958\) | −34.3923 | − | 9.21539i | −1.11116 | − | 0.297736i | ||||
\(959\) | −35.3205 | + | 40.7846i | −1.14056 | + | 1.31700i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.00000 | 0.161290 | ||||||||
\(962\) | −1.60770 | + | 6.00000i | −0.0518342 | + | 0.193448i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 16.3923 | − | 28.3923i | 0.527961 | − | 0.914455i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −7.85641 | + | 5.32051i | −0.252776 | + | 0.171185i | ||||
\(967\) | −31.1769 | −1.00258 | −0.501291 | − | 0.865279i | \(-0.667141\pi\) | ||||
−0.501291 | + | 0.865279i | \(0.667141\pi\) | |||||||
\(968\) | −21.8564 | − | 21.8564i | −0.702492 | − | 0.702492i | ||||
\(969\) | 67.1769i | 2.15803i | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −14.7846 | −0.474461 | −0.237230 | − | 0.971453i | \(-0.576240\pi\) | ||||
−0.237230 | + | 0.971453i | \(0.576240\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −13.8564 | − | 12.0000i | −0.444216 | − | 0.384702i | ||||
\(974\) | −17.4641 | − | 4.67949i | −0.559586 | − | 0.149941i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 32.7846 | − | 18.9282i | 1.04941 | − | 0.605877i | ||||
\(977\) | 4.24871i | 0.135928i | 0.997688 | + | 0.0679642i | \(0.0216504\pi\) | ||||
−0.997688 | + | 0.0679642i | \(0.978350\pi\) | |||||||
\(978\) | −13.1769 | + | 49.1769i | −0.421351 | + | 1.57250i | ||||
\(979\) | 0.679492 | 0.0217167 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.61474 | − | 13.4904i | 0.115351 | − | 0.430495i | ||||
\(983\) | 27.5885i | 0.879935i | 0.898014 | + | 0.439968i | \(0.145010\pi\) | ||||
−0.898014 | + | 0.439968i | \(0.854990\pi\) | |||||||
\(984\) | 12.0000 | + | 12.0000i | 0.382546 | + | 0.382546i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 70.0070 | + | 18.7583i | 2.22948 | + | 0.597387i | ||||
\(987\) | 6.00000 | + | 5.19615i | 0.190982 | + | 0.165395i | ||||
\(988\) | −4.82309 | − | 2.78461i | −0.153443 | − | 0.0885902i | ||||
\(989\) | 2.92820 | 0.0931114 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 47.1769i | − | 1.49862i | −0.662217 | − | 0.749312i | \(-0.730384\pi\) | ||
0.662217 | − | 0.749312i | \(-0.269616\pi\) | |||||||
\(992\) | −8.78461 | − | 32.7846i | −0.278912 | − | 1.04091i | ||||
\(993\) | −45.7128 | −1.45065 | ||||||||
\(994\) | 23.1244 | − | 15.6603i | 0.733460 | − | 0.496713i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 46.3923 | + | 26.7846i | 1.47000 | + | 0.848703i | ||||
\(997\) | −5.53590 | −0.175324 | −0.0876618 | − | 0.996150i | \(-0.527939\pi\) | ||||
−0.0876618 | + | 0.996150i | \(0.527939\pi\) | |||||||
\(998\) | 9.36603 | − | 34.9545i | 0.296476 | − | 1.10646i | ||||
\(999\) | −49.1769 | −1.55589 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))