Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [3332,1,Mod(135,3332)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3332, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 32, 21]))
N = Newforms(chi, 1, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("3332.135");
S:= CuspForms(chi, 1);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 3332 = 2^{2} \cdot 7^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 1 \) |
Character orbit: | \([\chi]\) | \(=\) | 3332.cc (of order \(42\), degree \(12\), 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: | \(1.66288462209\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{42})\) |
Coefficient field: | \(\Q(\zeta_{84})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{24} + x^{22} - x^{18} - x^{16} + x^{12} - x^{8} - x^{6} + x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Projective image: | \(D_{42}\) |
Projective field: | Galois closure of \(\mathbb{Q}[x]/(x^{42} - \cdots)\) |
Embedding invariants
Embedding label | 1563.2 | ||
Root | \(0.997204 + 0.0747301i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 3332.1563 |
Dual form | 3332.1.cc.c.1019.2 |
$q$-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 \(\left(\mathbb{Z}/3332\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(885\) | \(1667\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{21}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.988831 | − | 0.149042i | 0.988831 | − | 0.149042i | ||||
\(3\) | 0.930874 | + | 0.634659i | 0.930874 | + | 0.634659i | 0.930874 | − | 0.365341i | \(-0.119048\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(4\) | 0.955573 | − | 0.294755i | 0.955573 | − | 0.294755i | ||||
\(5\) | 0 | 0 | 0.0747301 | − | 0.997204i | \(-0.476190\pi\) | ||||
−0.0747301 | + | 0.997204i | \(0.523810\pi\) | |||||||
\(6\) | 1.01507 | + | 0.488831i | 1.01507 | + | 0.488831i | ||||
\(7\) | −0.433884 | − | 0.900969i | −0.433884 | − | 0.900969i | ||||
\(8\) | 0.900969 | − | 0.433884i | 0.900969 | − | 0.433884i | ||||
\(9\) | 0.0983929 | + | 0.250701i | 0.0983929 | + | 0.250701i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.108903 | − | 0.277479i | 0.108903 | − | 0.277479i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
0.974928 | + | 0.222521i | \(0.0714286\pi\) | |||||||
\(12\) | 1.07659 | + | 0.332083i | 1.07659 | + | 0.332083i | ||||
\(13\) | 1.23305 | + | 1.54620i | 1.23305 | + | 1.54620i | 0.733052 | + | 0.680173i | \(0.238095\pi\) |
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(14\) | −0.563320 | − | 0.826239i | −0.563320 | − | 0.826239i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.826239 | − | 0.563320i | 0.826239 | − | 0.563320i | ||||
\(17\) | −0.733052 | + | 0.680173i | −0.733052 | + | 0.680173i | ||||
\(18\) | 0.134659 | + | 0.233236i | 0.134659 | + | 0.233236i | ||||
\(19\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.167917 | − | 1.11406i | 0.167917 | − | 1.11406i | ||||
\(22\) | 0.0663300 | − | 0.290611i | 0.0663300 | − | 0.290611i | ||||
\(23\) | −1.14625 | − | 1.06356i | −1.14625 | − | 1.06356i | −0.997204 | − | 0.0747301i | \(-0.976190\pi\) |
−0.149042 | − | 0.988831i | \(-0.547619\pi\) | |||||||
\(24\) | 1.11406 | + | 0.167917i | 1.11406 | + | 0.167917i | ||||
\(25\) | −0.988831 | − | 0.149042i | −0.988831 | − | 0.149042i | ||||
\(26\) | 1.44973 | + | 1.34515i | 1.44973 | + | 1.34515i | ||||
\(27\) | 0.183183 | − | 0.802576i | 0.183183 | − | 0.802576i | ||||
\(28\) | −0.680173 | − | 0.733052i | −0.680173 | − | 0.733052i | ||||
\(29\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.433884 | + | 0.751509i | 0.433884 | + | 0.751509i | 0.997204 | − | 0.0747301i | \(-0.0238095\pi\) |
−0.563320 | + | 0.826239i | \(0.690476\pi\) | |||||||
\(32\) | 0.733052 | − | 0.680173i | 0.733052 | − | 0.680173i | ||||
\(33\) | 0.277479 | − | 0.189182i | 0.277479 | − | 0.189182i | ||||
\(34\) | −0.623490 | + | 0.781831i | −0.623490 | + | 0.781831i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.167917 | + | 0.210561i | 0.167917 | + | 0.210561i | ||||
\(37\) | 0 | 0 | −0.955573 | − | 0.294755i | \(-0.904762\pi\) | ||||
0.955573 | + | 0.294755i | \(0.0952381\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.166507 | + | 2.22188i | 0.166507 | + | 2.22188i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(42\) | − | 1.12664i | − | 1.12664i | ||||||
\(43\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(44\) | 0.0222759 | − | 0.297251i | 0.0222759 | − | 0.297251i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.29196 | − | 0.880843i | −1.29196 | − | 0.880843i | ||||
\(47\) | 0 | 0 | 0.988831 | − | 0.149042i | \(-0.0476190\pi\) | ||||
−0.988831 | + | 0.149042i | \(0.952381\pi\) | |||||||
\(48\) | 1.12664 | 1.12664 | ||||||||
\(49\) | −0.623490 | + | 0.781831i | −0.623490 | + | 0.781831i | ||||
\(50\) | −1.00000 | −1.00000 | ||||||||
\(51\) | −1.11406 | + | 0.167917i | −1.11406 | + | 0.167917i | ||||
\(52\) | 1.63402 | + | 1.11406i | 1.63402 | + | 1.11406i | ||||
\(53\) | 0.142820 | − | 0.0440542i | 0.142820 | − | 0.0440542i | −0.222521 | − | 0.974928i | \(-0.571429\pi\) |
0.365341 | + | 0.930874i | \(0.380952\pi\) | |||||||
\(54\) | 0.0615190 | − | 0.820914i | 0.0615190 | − | 0.820914i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.781831 | − | 0.623490i | −0.781831 | − | 0.623490i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0 | 0 | −0.0747301 | − | 0.997204i | \(-0.523810\pi\) | ||||
0.0747301 | + | 0.997204i | \(0.476190\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0 | 0 | −0.955573 | − | 0.294755i | \(-0.904762\pi\) | ||||
0.955573 | + | 0.294755i | \(0.0952381\pi\) | |||||||
\(62\) | 0.541044 | + | 0.678448i | 0.541044 | + | 0.678448i | ||||
\(63\) | 0.183183 | − | 0.197424i | 0.183183 | − | 0.197424i | ||||
\(64\) | 0.623490 | − | 0.781831i | 0.623490 | − | 0.781831i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.246184 | − | 0.228425i | 0.246184 | − | 0.228425i | ||||
\(67\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(68\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(69\) | −0.392012 | − | 1.71752i | −0.392012 | − | 1.71752i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.443797 | + | 1.94440i | −0.443797 | + | 1.94440i | −0.149042 | + | 0.988831i | \(0.547619\pi\) |
−0.294755 | + | 0.955573i | \(0.595238\pi\) | |||||||
\(72\) | 0.197424 | + | 0.183183i | 0.197424 | + | 0.183183i | ||||
\(73\) | 0 | 0 | −0.988831 | − | 0.149042i | \(-0.952381\pi\) | ||||
0.988831 | + | 0.149042i | \(0.0476190\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.825886 | − | 0.766310i | −0.825886 | − | 0.766310i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.297251 | + | 0.0222759i | −0.297251 | + | 0.0222759i | ||||
\(78\) | 0.495802 | + | 2.17225i | 0.495802 | + | 2.17225i | ||||
\(79\) | −0.930874 | + | 1.61232i | −0.930874 | + | 1.61232i | −0.149042 | + | 0.988831i | \(0.547619\pi\) |
−0.781831 | + | 0.623490i | \(0.785714\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.877306 | − | 0.814021i | 0.877306 | − | 0.814021i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(84\) | −0.167917 | − | 1.11406i | −0.167917 | − | 1.11406i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.0222759 | − | 0.297251i | −0.0222759 | − | 0.297251i | ||||
\(89\) | −0.603718 | − | 1.53825i | −0.603718 | − | 1.53825i | −0.826239 | − | 0.563320i | \(-0.809524\pi\) |
0.222521 | − | 0.974928i | \(-0.428571\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.858075 | − | 1.78181i | 0.858075 | − | 1.78181i | ||||
\(92\) | −1.40881 | − | 0.678448i | −1.40881 | − | 0.678448i | ||||
\(93\) | −0.0730607 | + | 0.974928i | −0.0730607 | + | 0.974928i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.11406 | − | 0.167917i | 1.11406 | − | 0.167917i | ||||
\(97\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(98\) | −0.500000 | + | 0.866025i | −0.500000 | + | 0.866025i | ||||
\(99\) | 0.0802795 | 0.0802795 | ||||||||
\(100\) | −0.988831 | + | 0.149042i | −0.988831 | + | 0.149042i | ||||
\(101\) | −1.03030 | − | 0.702449i | −1.03030 | − | 0.702449i | −0.0747301 | − | 0.997204i | \(-0.523810\pi\) |
−0.955573 | + | 0.294755i | \(0.904762\pi\) | |||||||
\(102\) | −1.07659 | + | 0.332083i | −1.07659 | + | 0.332083i | ||||
\(103\) | 0 | 0 | 0.0747301 | − | 0.997204i | \(-0.476190\pi\) | ||||
−0.0747301 | + | 0.997204i | \(0.523810\pi\) | |||||||
\(104\) | 1.78181 | + | 0.858075i | 1.78181 | + | 0.858075i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.134659 | − | 0.0648483i | 0.134659 | − | 0.0648483i | ||||
\(107\) | −0.215372 | − | 0.548760i | −0.215372 | − | 0.548760i | 0.781831 | − | 0.623490i | \(-0.214286\pi\) |
−0.997204 | + | 0.0747301i | \(0.976190\pi\) | |||||||
\(108\) | −0.0615190 | − | 0.820914i | −0.0615190 | − | 0.820914i | ||||
\(109\) | 0 | 0 | 0.365341 | − | 0.930874i | \(-0.380952\pi\) | ||||
−0.365341 | + | 0.930874i | \(0.619048\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.866025 | − | 0.500000i | −0.866025 | − | 0.500000i | ||||
\(113\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.266310 | + | 0.461262i | −0.266310 | + | 0.461262i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.930874 | + | 0.365341i | 0.930874 | + | 0.365341i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.667917 | + | 0.619736i | 0.667917 | + | 0.619736i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.636119 | + | 0.590232i | 0.636119 | + | 0.590232i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0.151712 | − | 0.222521i | 0.151712 | − | 0.222521i | ||||
\(127\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.500000 | − | 0.866025i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.29196 | − | 0.880843i | 1.29196 | − | 0.880843i | 0.294755 | − | 0.955573i | \(-0.404762\pi\) |
0.997204 | + | 0.0747301i | \(0.0238095\pi\) | |||||||
\(132\) | 0.209389 | − | 0.262566i | 0.209389 | − | 0.262566i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.365341 | + | 0.930874i | −0.365341 | + | 0.930874i | ||||
\(137\) | −0.123490 | − | 1.64786i | −0.123490 | − | 1.64786i | −0.623490 | − | 0.781831i | \(-0.714286\pi\) |
0.500000 | − | 0.866025i | \(-0.333333\pi\) | |||||||
\(138\) | −0.643616 | − | 1.63991i | −0.643616 | − | 1.63991i | ||||
\(139\) | −1.67738 | + | 0.807782i | −1.67738 | + | 0.807782i | −0.680173 | + | 0.733052i | \(0.738095\pi\) |
−0.997204 | + | 0.0747301i | \(0.976190\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.149042 | + | 1.98883i | −0.149042 | + | 1.98883i | ||||
\(143\) | 0.563320 | − | 0.173761i | 0.563320 | − | 0.173761i | ||||
\(144\) | 0.222521 | + | 0.151712i | 0.222521 | + | 0.151712i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.07659 | + | 0.332083i | −1.07659 | + | 0.332083i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.63402 | + | 0.246289i | −1.63402 | + | 0.246289i | −0.900969 | − | 0.433884i | \(-0.857143\pi\) |
−0.733052 | + | 0.680173i | \(0.761905\pi\) | |||||||
\(150\) | −0.930874 | − | 0.634659i | −0.930874 | − | 0.634659i | ||||
\(151\) | 0 | 0 | 0.955573 | − | 0.294755i | \(-0.0952381\pi\) | ||||
−0.955573 | + | 0.294755i | \(0.904762\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.242647 | − | 0.116853i | −0.242647 | − | 0.116853i | ||||
\(154\) | −0.290611 | + | 0.0663300i | −0.290611 | + | 0.0663300i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.814021 | + | 2.07409i | 0.814021 | + | 2.07409i | ||||
\(157\) | 0.0546039 | + | 0.728639i | 0.0546039 | + | 0.728639i | 0.955573 | + | 0.294755i | \(0.0952381\pi\) |
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(158\) | −0.680173 | + | 1.73305i | −0.680173 | + | 1.73305i | ||||
\(159\) | 0.160907 | + | 0.0496332i | 0.160907 | + | 0.0496332i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.460898 | + | 1.49419i | −0.460898 | + | 1.49419i | ||||
\(162\) | 0.746184 | − | 0.935685i | 0.746184 | − | 0.935685i | ||||
\(163\) | 0 | 0 | −0.563320 | − | 0.826239i | \(-0.690476\pi\) | ||||
0.563320 | + | 0.826239i | \(0.309524\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.302705 | + | 1.32624i | 0.302705 | + | 1.32624i | 0.866025 | + | 0.500000i | \(0.166667\pi\) |
−0.563320 | + | 0.826239i | \(0.690476\pi\) | |||||||
\(168\) | −0.332083 | − | 1.07659i | −0.332083 | − | 1.07659i | ||||
\(169\) | −0.647791 | + | 2.83816i | −0.647791 | + | 2.83816i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 0 | 0 | −0.733052 | − | 0.680173i | \(-0.761905\pi\) | ||||
0.733052 | + | 0.680173i | \(0.238095\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.294755 | + | 0.955573i | 0.294755 | + | 0.955573i | ||||
\(176\) | −0.0663300 | − | 0.290611i | −0.0663300 | − | 0.290611i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.826239 | − | 1.43109i | −0.826239 | − | 1.43109i | ||||
\(179\) | 0 | 0 | 0.733052 | − | 0.680173i | \(-0.238095\pi\) | ||||
−0.733052 | + | 0.680173i | \(0.761905\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0 | 0 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(182\) | 0.582926 | − | 1.88980i | 0.582926 | − | 1.88980i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.49419 | − | 0.460898i | −1.49419 | − | 0.460898i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.0730607 | + | 0.974928i | 0.0730607 | + | 0.974928i | ||||
\(187\) | 0.108903 | + | 0.277479i | 0.108903 | + | 0.277479i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.802576 | + | 0.183183i | −0.802576 | + | 0.183183i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0 | 0 | 0.0747301 | − | 0.997204i | \(-0.476190\pi\) | ||||
−0.0747301 | + | 0.997204i | \(0.523810\pi\) | |||||||
\(192\) | 1.07659 | − | 0.332083i | 1.07659 | − | 0.332083i | ||||
\(193\) | 0 | 0 | −0.826239 | − | 0.563320i | \(-0.809524\pi\) | ||||
0.826239 | + | 0.563320i | \(0.190476\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.365341 | + | 0.930874i | −0.365341 | + | 0.930874i | ||||
\(197\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(198\) | 0.0793829 | − | 0.0119650i | 0.0793829 | − | 0.0119650i | ||||
\(199\) | −1.64786 | − | 1.12349i | −1.64786 | − | 1.12349i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
−0.781831 | − | 0.623490i | \(-0.785714\pi\) | |||||||
\(200\) | −0.955573 | + | 0.294755i | −0.955573 | + | 0.294755i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.12349 | − | 0.541044i | −1.12349 | − | 0.541044i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −1.01507 | + | 0.488831i | −1.01507 | + | 0.488831i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.153853 | − | 0.392012i | 0.153853 | − | 0.392012i | ||||
\(208\) | 1.88980 | + | 0.582926i | 1.88980 | + | 0.582926i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.21572 | − | 1.52446i | 1.21572 | − | 1.52446i | 0.433884 | − | 0.900969i | \(-0.357143\pi\) |
0.781831 | − | 0.623490i | \(-0.214286\pi\) | |||||||
\(212\) | 0.123490 | − | 0.0841939i | 0.123490 | − | 0.0841939i | ||||
\(213\) | −1.64715 | + | 1.52833i | −1.64715 | + | 1.52833i | ||||
\(214\) | −0.294755 | − | 0.510531i | −0.294755 | − | 0.510531i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −0.183183 | − | 0.802576i | −0.183183 | − | 0.802576i | ||||
\(217\) | 0.488831 | − | 0.716983i | 0.488831 | − | 0.716983i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.95557 | − | 0.294755i | −1.95557 | − | 0.294755i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(224\) | −0.930874 | − | 0.365341i | −0.930874 | − | 0.365341i | ||||
\(225\) | −0.0599289 | − | 0.262566i | −0.0599289 | − | 0.262566i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.997204 | + | 1.72721i | 0.997204 | + | 1.72721i | 0.563320 | + | 0.826239i | \(0.309524\pi\) |
0.433884 | + | 0.900969i | \(0.357143\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.367711 | − | 0.250701i | 0.367711 | − | 0.250701i | −0.365341 | − | 0.930874i | \(-0.619048\pi\) |
0.733052 | + | 0.680173i | \(0.238095\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.290841 | − | 0.167917i | −0.290841 | − | 0.167917i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0 | 0 | −0.955573 | − | 0.294755i | \(-0.904762\pi\) | ||||
0.955573 | + | 0.294755i | \(0.0952381\pi\) | |||||||
\(234\) | −0.194588 | + | 0.495802i | −0.194588 | + | 0.495802i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.88980 | + | 0.910080i | −1.88980 | + | 0.910080i | ||||
\(238\) | 0.974928 | + | 0.222521i | 0.974928 | + | 0.222521i | ||||
\(239\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0 | 0 | 0.955573 | − | 0.294755i | \(-0.0952381\pi\) | ||||
−0.955573 | + | 0.294755i | \(0.904762\pi\) | |||||||
\(242\) | 0.752824 | + | 0.513267i | 0.752824 | + | 0.513267i | ||||
\(243\) | 0.519266 | − | 0.0782667i | 0.519266 | − | 0.0782667i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0.716983 | + | 0.488831i | 0.716983 | + | 0.488831i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(252\) | 0.116853 | − | 0.242647i | 0.116853 | − | 0.242647i | ||||
\(253\) | −0.419945 | + | 0.202235i | −0.419945 | + | 0.202235i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.365341 | − | 0.930874i | 0.365341 | − | 0.930874i | ||||
\(257\) | 0.955573 | + | 0.294755i | 0.955573 | + | 0.294755i | 0.733052 | − | 0.680173i | \(-0.238095\pi\) |
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.14625 | − | 1.06356i | 1.14625 | − | 1.06356i | ||||
\(263\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(264\) | 0.167917 | − | 0.290841i | 0.167917 | − | 0.290841i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0.414278 | − | 1.81507i | 0.414278 | − | 1.81507i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0 | 0 | −0.988831 | − | 0.149042i | \(-0.952381\pi\) | ||||
0.988831 | + | 0.149042i | \(0.0476190\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | −0.733052 | − | 0.680173i | \(-0.761905\pi\) | ||||
0.733052 | + | 0.680173i | \(0.238095\pi\) | |||||||
\(272\) | −0.222521 | + | 0.974928i | −0.222521 | + | 0.974928i | ||||
\(273\) | 1.92960 | − | 1.11406i | 1.92960 | − | 1.11406i | ||||
\(274\) | −0.367711 | − | 1.61105i | −0.367711 | − | 1.61105i | ||||
\(275\) | −0.149042 | + | 0.258149i | −0.149042 | + | 0.258149i | ||||
\(276\) | −0.880843 | − | 1.52566i | −0.880843 | − | 1.52566i | ||||
\(277\) | 0 | 0 | 0.733052 | − | 0.680173i | \(-0.238095\pi\) | ||||
−0.733052 | + | 0.680173i | \(0.761905\pi\) | |||||||
\(278\) | −1.53825 | + | 1.04876i | −1.53825 | + | 1.04876i | ||||
\(279\) | −0.145713 | + | 0.182718i | −0.145713 | + | 0.182718i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.623490 | − | 0.781831i | −0.623490 | − | 0.781831i | 0.365341 | − | 0.930874i | \(-0.380952\pi\) |
−0.988831 | + | 0.149042i | \(0.952381\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.108903 | + | 0.277479i | −0.108903 | + | 0.277479i | −0.974928 | − | 0.222521i | \(-0.928571\pi\) |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(284\) | 0.149042 | + | 1.98883i | 0.149042 | + | 1.98883i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.531130 | − | 0.255779i | 0.531130 | − | 0.255779i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0.242647 | + | 0.116853i | 0.242647 | + | 0.116853i | ||||
\(289\) | 0.0747301 | − | 0.997204i | 0.0747301 | − | 0.997204i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.730682 | 0.730682 | 0.365341 | − | 0.930874i | \(-0.380952\pi\) | ||||
0.365341 | + | 0.930874i | \(0.380952\pi\) | |||||||
\(294\) | −1.01507 | + | 0.488831i | −1.01507 | + | 0.488831i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.202749 | − | 0.138232i | −0.202749 | − | 0.138232i | ||||
\(298\) | −1.57906 | + | 0.487076i | −1.57906 | + | 0.487076i | ||||
\(299\) | 0.231095 | − | 3.08375i | 0.231095 | − | 3.08375i | ||||
\(300\) | −1.01507 | − | 0.488831i | −1.01507 | − | 0.488831i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −0.513267 | − | 1.30778i | −0.513267 | − | 1.30778i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.257353 | − | 0.0793829i | −0.257353 | − | 0.0793829i | ||||
\(307\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(308\) | −0.277479 | + | 0.108903i | −0.277479 | + | 0.108903i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.26968 | − | 1.17809i | 1.26968 | − | 1.17809i | 0.294755 | − | 0.955573i | \(-0.404762\pi\) |
0.974928 | − | 0.222521i | \(-0.0714286\pi\) | |||||||
\(312\) | 1.11406 | + | 1.92960i | 1.11406 | + | 1.92960i | ||||
\(313\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(314\) | 0.162592 | + | 0.712362i | 0.162592 | + | 0.712362i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.414278 | + | 1.81507i | −0.414278 | + | 1.81507i | ||||
\(317\) | 0 | 0 | −0.733052 | − | 0.680173i | \(-0.761905\pi\) | ||||
0.733052 | + | 0.680173i | \(0.238095\pi\) | |||||||
\(318\) | 0.166507 | + | 0.0250969i | 0.166507 | + | 0.0250969i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.147791 | − | 0.647514i | 0.147791 | − | 0.647514i | ||||
\(322\) | −0.233052 | + | 1.54620i | −0.233052 | + | 1.54620i | ||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 0.598393 | − | 1.03645i | 0.598393 | − | 1.03645i | ||||
\(325\) | −0.988831 | − | 1.71271i | −0.988831 | − | 1.71271i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0 | 0 | −0.955573 | − | 0.294755i | \(-0.904762\pi\) | ||||
0.955573 | + | 0.294755i | \(0.0952381\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.496990 | + | 1.26631i | 0.496990 | + | 1.26631i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.488831 | − | 1.01507i | −0.488831 | − | 1.01507i | ||||
\(337\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(338\) | −0.217550 | + | 2.90301i | −0.217550 | + | 2.90301i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.255779 | − | 0.0385525i | 0.255779 | − | 0.0385525i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.974928 | + | 0.222521i | 0.974928 | + | 0.222521i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.86323 | − | 0.574730i | 1.86323 | − | 0.574730i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.997204 | − | 0.0747301i | \(-0.0238095\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.400969 | + | 0.193096i | 0.400969 | + | 0.193096i | 0.623490 | − | 0.781831i | \(-0.285714\pi\) |
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(350\) | 0.433884 | + | 0.900969i | 0.433884 | + | 0.900969i | ||||
\(351\) | 1.46682 | − | 0.706381i | 1.46682 | − | 0.706381i | ||||
\(352\) | −0.108903 | − | 0.277479i | −0.108903 | − | 0.277479i | ||||
\(353\) | −0.0747301 | − | 0.997204i | −0.0747301 | − | 0.997204i | −0.900969 | − | 0.433884i | \(-0.857143\pi\) |
0.826239 | − | 0.563320i | \(-0.190476\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −1.03030 | − | 1.29196i | −1.03030 | − | 1.29196i | ||||
\(357\) | 0.634659 | + | 0.930874i | 0.634659 | + | 0.930874i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 0 | 0 | 0.826239 | − | 0.563320i | \(-0.190476\pi\) | ||||
−0.826239 | + | 0.563320i | \(0.809524\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.500000 | − | 0.866025i | −0.500000 | − | 0.866025i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.228425 | + | 1.00080i | 0.228425 | + | 1.00080i | ||||
\(364\) | 0.294755 | − | 1.95557i | 0.294755 | − | 1.95557i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.582926 | − | 0.0878620i | −0.582926 | − | 0.0878620i | −0.149042 | − | 0.988831i | \(-0.547619\pi\) |
−0.433884 | + | 0.900969i | \(0.642857\pi\) | |||||||
\(368\) | −1.54620 | − | 0.233052i | −1.54620 | − | 0.233052i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −0.101659 | − | 0.109562i | −0.101659 | − | 0.109562i | ||||
\(372\) | 0.217550 | + | 0.953150i | 0.217550 | + | 0.953150i | ||||
\(373\) | −0.988831 | + | 1.71271i | −0.988831 | + | 1.71271i | −0.365341 | + | 0.930874i | \(0.619048\pi\) |
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(374\) | 0.149042 | + | 0.258149i | 0.149042 | + | 0.258149i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −0.766310 | + | 0.300754i | −0.766310 | + | 0.300754i | ||||
\(379\) | −1.07992 | − | 1.35417i | −1.07992 | − | 1.35417i | −0.930874 | − | 0.365341i | \(-0.880952\pi\) |
−0.149042 | − | 0.988831i | \(-0.547619\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 0 | 0 | −0.365341 | − | 0.930874i | \(-0.619048\pi\) | ||||
0.365341 | + | 0.930874i | \(0.380952\pi\) | |||||||
\(384\) | 1.01507 | − | 0.488831i | 1.01507 | − | 0.488831i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 1.21135 | + | 0.825886i | 1.21135 | + | 0.825886i | 0.988831 | − | 0.149042i | \(-0.0476190\pi\) |
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.56366 | 1.56366 | ||||||||
\(392\) | −0.222521 | + | 0.974928i | −0.222521 | + | 0.974928i | ||||
\(393\) | 1.76169 | 1.76169 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0.0767129 | − | 0.0236628i | 0.0767129 | − | 0.0236628i | ||||
\(397\) | 0 | 0 | 0.0747301 | − | 0.997204i | \(-0.476190\pi\) | ||||
−0.0747301 | + | 0.997204i | \(0.523810\pi\) | |||||||
\(398\) | −1.79690 | − | 0.865341i | −1.79690 | − | 0.865341i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.900969 | + | 0.433884i | −0.900969 | + | 0.433884i | ||||
\(401\) | 0 | 0 | −0.365341 | − | 0.930874i | \(-0.619048\pi\) | ||||
0.365341 | + | 0.930874i | \(0.380952\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.626980 | + | 1.59752i | −0.626980 | + | 1.59752i | ||||
\(404\) | −1.19158 | − | 0.367554i | −1.19158 | − | 0.367554i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | −0.930874 | + | 0.634659i | −0.930874 | + | 0.634659i | ||||
\(409\) | −0.109562 | + | 0.101659i | −0.109562 | + | 0.101659i | −0.733052 | − | 0.680173i | \(-0.761905\pi\) |
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0.930874 | − | 1.61232i | 0.930874 | − | 1.61232i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0.0937086 | − | 0.410564i | 0.0937086 | − | 0.410564i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.95557 | + | 0.294755i | 1.95557 | + | 0.294755i | ||||
\(417\) | −2.07409 | − | 0.312619i | −2.07409 | − | 0.312619i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −0.414278 | + | 1.81507i | −0.414278 | + | 1.81507i | 0.149042 | + | 0.988831i | \(0.452381\pi\) |
−0.563320 | + | 0.826239i | \(0.690476\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.400969 | − | 1.75676i | −0.400969 | − | 1.75676i | −0.623490 | − | 0.781831i | \(-0.714286\pi\) |
0.222521 | − | 0.974928i | \(-0.428571\pi\) | |||||||
\(422\) | 0.974928 | − | 1.68862i | 0.974928 | − | 1.68862i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.109562 | − | 0.101659i | 0.109562 | − | 0.101659i | ||||
\(425\) | 0.826239 | − | 0.563320i | 0.826239 | − | 0.563320i | ||||
\(426\) | −1.40097 | + | 1.75676i | −1.40097 | + | 1.75676i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −0.367554 | − | 0.460898i | −0.367554 | − | 0.460898i | ||||
\(429\) | 0.634659 | + | 0.195766i | 0.634659 | + | 0.195766i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −0.129436 | − | 1.72721i | −0.129436 | − | 1.72721i | −0.563320 | − | 0.826239i | \(-0.690476\pi\) |
0.433884 | − | 0.900969i | \(-0.357143\pi\) | |||||||
\(432\) | −0.300754 | − | 0.766310i | −0.300754 | − | 0.766310i | ||||
\(433\) | 1.12349 | − | 0.541044i | 1.12349 | − | 0.541044i | 0.222521 | − | 0.974928i | \(-0.428571\pi\) |
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(434\) | 0.376510 | − | 0.781831i | 0.376510 | − | 0.781831i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.84095 | − | 0.277479i | 1.84095 | − | 0.277479i | 0.866025 | − | 0.500000i | \(-0.166667\pi\) |
0.974928 | + | 0.222521i | \(0.0714286\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.257353 | − | 0.0793829i | −0.257353 | − | 0.0793829i | ||||
\(442\) | −1.97766 | −1.97766 | ||||||||
\(443\) | 0 | 0 | 0.988831 | − | 0.149042i | \(-0.0476190\pi\) | ||||
−0.988831 | + | 0.149042i | \(0.952381\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.67738 | − | 0.807782i | −1.67738 | − | 0.807782i | ||||
\(448\) | −0.974928 | − | 0.222521i | −0.974928 | − | 0.222521i | ||||
\(449\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(450\) | −0.0983929 | − | 0.250701i | −0.0983929 | − | 0.250701i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.24349 | + | 1.55929i | 1.24349 | + | 1.55929i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.03030 | + | 0.702449i | −1.03030 | + | 0.702449i | −0.955573 | − | 0.294755i | \(-0.904762\pi\) |
−0.0747301 | + | 0.997204i | \(0.523810\pi\) | |||||||
\(458\) | 0.326239 | − | 0.302705i | 0.326239 | − | 0.302705i | ||||
\(459\) | 0.411608 | + | 0.712926i | 0.411608 | + | 0.712926i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −0.0332580 | − | 0.145713i | −0.0332580 | − | 0.145713i | 0.955573 | − | 0.294755i | \(-0.0952381\pi\) |
−0.988831 | + | 0.149042i | \(0.952381\pi\) | |||||||
\(462\) | −0.312619 | − | 0.122694i | −0.312619 | − | 0.122694i | ||||
\(463\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 0 | 0 | −0.733052 | − | 0.680173i | \(-0.761905\pi\) | ||||
0.733052 | + | 0.680173i | \(0.238095\pi\) | |||||||
\(468\) | −0.118519 | + | 0.519266i | −0.118519 | + | 0.519266i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.411608 | + | 0.712926i | −0.411608 | + | 0.712926i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −1.73305 | + | 1.18157i | −1.73305 | + | 1.18157i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.997204 | + | 0.0747301i | 0.997204 | + | 0.0747301i | ||||
\(477\) | 0.0250969 | + | 0.0314705i | 0.0250969 | + | 0.0314705i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.571270 | + | 1.45557i | −0.571270 | + | 1.45557i | 0.294755 | + | 0.955573i | \(0.404762\pi\) |
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.37734 | + | 1.09839i | −1.37734 | + | 1.09839i | ||||
\(484\) | 0.820914 | + | 0.395331i | 0.820914 | + | 0.395331i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0.501801 | − | 0.154785i | 0.501801 | − | 0.154785i | ||||
\(487\) | 1.43109 | + | 0.975699i | 1.43109 | + | 0.975699i | 0.997204 | + | 0.0747301i | \(0.0238095\pi\) |
0.433884 | + | 0.900969i | \(0.357143\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.781831 | + | 0.376510i | 0.781831 | + | 0.376510i | ||||
\(497\) | 1.94440 | − | 0.443797i | 1.94440 | − | 0.443797i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.680173 | − | 1.73305i | −0.680173 | − | 1.73305i | −0.680173 | − | 0.733052i | \(-0.738095\pi\) |
− | 1.00000i | \(-0.5\pi\) | ||||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.559929 | + | 1.42668i | −0.559929 | + | 1.42668i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −0.367554 | − | 0.460898i | −0.367554 | − | 0.460898i | 0.563320 | − | 0.826239i | \(-0.309524\pi\) |
−0.930874 | + | 0.365341i | \(0.880952\pi\) | |||||||
\(504\) | 0.0793829 | − | 0.257353i | 0.0793829 | − | 0.257353i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −0.385113 | + | 0.262566i | −0.385113 | + | 0.262566i | ||||
\(507\) | −2.40427 | + | 2.23084i | −2.40427 | + | 2.23084i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −0.623490 | + | 1.07992i | −0.623490 | + | 1.07992i | 0.365341 | + | 0.930874i | \(0.380952\pi\) |
−0.988831 | + | 0.149042i | \(0.952381\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0.222521 | − | 0.974928i | 0.222521 | − | 0.974928i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.988831 | + | 0.149042i | 0.988831 | + | 0.149042i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0 | 0 | 0.826239 | − | 0.563320i | \(-0.190476\pi\) | ||||
−0.826239 | + | 0.563320i | \(0.809524\pi\) | |||||||
\(524\) | 0.974928 | − | 1.22252i | 0.974928 | − | 1.22252i | ||||
\(525\) | −0.332083 | + | 1.07659i | −0.332083 | + | 1.07659i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.829215 | − | 0.255779i | −0.829215 | − | 0.255779i | ||||
\(528\) | 0.122694 | − | 0.312619i | 0.122694 | − | 0.312619i | ||||
\(529\) | 0.107988 | + | 1.44100i | 0.107988 | + | 1.44100i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0.139129 | − | 1.85654i | 0.139129 | − | 1.85654i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.149042 | + | 0.258149i | 0.149042 | + | 0.258149i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 0 | 0 | 0.988831 | − | 0.149042i | \(-0.0476190\pi\) | ||||
−0.988831 | + | 0.149042i | \(0.952381\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.0747301 | + | 0.997204i | −0.0747301 | + | 0.997204i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.74201 | − | 1.38921i | 1.74201 | − | 1.38921i | ||||
\(547\) | 1.22563 | − | 0.590232i | 1.22563 | − | 0.590232i | 0.294755 | − | 0.955573i | \(-0.404762\pi\) |
0.930874 | + | 0.365341i | \(0.119048\pi\) | |||||||
\(548\) | −0.603718 | − | 1.53825i | −0.603718 | − | 1.53825i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.108903 | + | 0.277479i | −0.108903 | + | 0.277479i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.09839 | − | 1.37734i | −1.09839 | − | 1.37734i | ||||
\(553\) | 1.85654 | + | 0.139129i | 1.85654 | + | 0.139129i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.36476 | + | 1.26631i | −1.36476 | + | 1.26631i | ||||
\(557\) | 0.0747301 | + | 0.129436i | 0.0747301 | + | 0.129436i | 0.900969 | − | 0.433884i | \(-0.142857\pi\) |
−0.826239 | + | 0.563320i | \(0.809524\pi\) | |||||||
\(558\) | −0.116853 | + | 0.202395i | −0.116853 | + | 0.202395i | ||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.0747301 | + | 0.327414i | −0.0747301 | + | 0.327414i | ||||
\(562\) | −0.733052 | − | 0.680173i | −0.733052 | − | 0.680173i | ||||
\(563\) | 0 | 0 | −0.988831 | − | 0.149042i | \(-0.952381\pi\) | ||||
0.988831 | + | 0.149042i | \(0.0476190\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −0.0663300 | + | 0.290611i | −0.0663300 | + | 0.290611i | ||||
\(567\) | −1.11406 | − | 0.437235i | −1.11406 | − | 0.437235i | ||||
\(568\) | 0.443797 | + | 1.94440i | 0.443797 | + | 1.94440i | ||||
\(569\) | 0.988831 | − | 1.71271i | 0.988831 | − | 1.71271i | 0.365341 | − | 0.930874i | \(-0.380952\pi\) |
0.623490 | − | 0.781831i | \(-0.285714\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.636119 | − | 0.590232i | 0.636119 | − | 0.590232i | −0.294755 | − | 0.955573i | \(-0.595238\pi\) |
0.930874 | + | 0.365341i | \(0.119048\pi\) | |||||||
\(572\) | 0.487076 | − | 0.332083i | 0.487076 | − | 0.332083i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.974928 | + | 1.22252i | 0.974928 | + | 1.22252i | ||||
\(576\) | 0.257353 | + | 0.0793829i | 0.257353 | + | 0.0793829i | ||||
\(577\) | −0.698220 | + | 1.77904i | −0.698220 | + | 1.77904i | −0.0747301 | + | 0.997204i | \(0.523810\pi\) |
−0.623490 | + | 0.781831i | \(0.714286\pi\) | |||||||
\(578\) | −0.0747301 | − | 0.997204i | −0.0747301 | − | 0.997204i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.00332936 | − | 0.0444272i | 0.00332936 | − | 0.0444272i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.722521 | − | 0.108903i | 0.722521 | − | 0.108903i | ||||
\(587\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(588\) | −0.930874 | + | 0.634659i | −0.930874 | + | 0.634659i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 0.142820 | − | 1.90580i | 0.142820 | − | 1.90580i | −0.222521 | − | 0.974928i | \(-0.571429\pi\) |
0.365341 | − | 0.930874i | \(-0.380952\pi\) | |||||||
\(594\) | −0.221087 | − | 0.106470i | −0.221087 | − | 0.106470i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −1.48883 | + | 0.716983i | −1.48883 | + | 0.716983i | ||||
\(597\) | −0.820914 | − | 2.09165i | −0.820914 | − | 2.09165i | ||||
\(598\) | −0.231095 | − | 3.08375i | −0.231095 | − | 3.08375i | ||||
\(599\) | 0 | 0 | 0.365341 | − | 0.930874i | \(-0.380952\pi\) | ||||
−0.365341 | + | 0.930874i | \(0.619048\pi\) | |||||||
\(600\) | −1.07659 | − | 0.332083i | −1.07659 | − | 0.332083i | ||||
\(601\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.702449 | − | 1.21668i | −0.702449 | − | 1.21668i | ||||
\(607\) | −0.866025 | + | 1.50000i | −0.866025 | + | 1.50000i | 1.00000i | \(0.5\pi\) | ||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −0.266310 | − | 0.0401398i | −0.266310 | − | 0.0401398i | ||||
\(613\) | 1.44973 | + | 0.218511i | 1.44973 | + | 0.218511i | 0.826239 | − | 0.563320i | \(-0.190476\pi\) |
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.258149 | + | 0.149042i | −0.258149 | + | 0.149042i | ||||
\(617\) | 0 | 0 | −0.222521 | − | 0.974928i | \(-0.571429\pi\) | ||||
0.222521 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.866025 | + | 1.50000i | 0.866025 | + | 1.50000i | 0.866025 | + | 0.500000i | \(0.166667\pi\) |
1.00000i | \(0.5\pi\) | |||||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.06356 | + | 0.725124i | −1.06356 | + | 0.725124i | ||||
\(622\) | 1.07992 | − | 1.35417i | 1.07992 | − | 1.35417i | ||||
\(623\) | −1.12397 | + | 1.21135i | −1.12397 | + | 1.21135i | ||||
\(624\) | 1.38921 | + | 1.74201i | 1.38921 | + | 1.74201i | ||||
\(625\) | 0.955573 | + | 0.294755i | 0.955573 | + | 0.294755i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.266948 | + | 0.680173i | 0.266948 | + | 0.680173i | ||||
\(629\) | 0 | 0 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0 | 0 | −0.900969 | − | 0.433884i | \(-0.857143\pi\) | ||||
0.900969 | + | 0.433884i | \(0.142857\pi\) | |||||||
\(632\) | −0.139129 | + | 1.85654i | −0.139129 | + | 1.85654i | ||||
\(633\) | 2.09919 | − | 0.647514i | 2.09919 | − | 0.647514i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0.168388 | 0.168388 | ||||||||
\(637\) | −1.97766 | −1.97766 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.531130 | + | 0.0800550i | −0.531130 | + | 0.0800550i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0 | 0 | 0.955573 | − | 0.294755i | \(-0.0952381\pi\) | ||||
−0.955573 | + | 0.294755i | \(0.904762\pi\) | |||||||
\(642\) | 0.0496332 | − | 0.662309i | 0.0496332 | − | 0.662309i | ||||
\(643\) | 1.22563 | + | 0.590232i | 1.22563 | + | 0.590232i | 0.930874 | − | 0.365341i | \(-0.119048\pi\) |
0.294755 | + | 0.955573i | \(0.404762\pi\) | |||||||
\(644\) | 1.56366i | 1.56366i | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0 | 0 | −0.0747301 | − | 0.997204i | \(-0.523810\pi\) | ||||
0.0747301 | + | 0.997204i | \(0.476190\pi\) | |||||||
\(648\) | 0.437235 | − | 1.11406i | 0.437235 | − | 1.11406i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −1.23305 | − | 1.54620i | −1.23305 | − | 1.54620i | ||||
\(651\) | 0.910080 | − | 0.357180i | 0.910080 | − | 0.357180i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0 | 0 | 0.826239 | − | 0.563320i | \(-0.190476\pi\) | ||||
−0.826239 | + | 0.563320i | \(0.809524\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0 | 0 | 0.222521 | − | 0.974928i | \(-0.428571\pi\) | ||||
−0.222521 | + | 0.974928i | \(0.571429\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.78181 | + | 0.268565i | 1.78181 | + | 0.268565i | 0.955573 | − | 0.294755i | \(-0.0952381\pi\) |
0.826239 | + | 0.563320i | \(0.190476\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.63332 | − | 1.51550i | −1.63332 | − | 1.51550i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 0.680173 | + | 1.17809i | 0.680173 | + | 1.17809i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0 | 0 | ||||||||
\(672\) | −0.634659 | − | 0.930874i | −0.634659 | − | 0.930874i | ||||
\(673\) | 0 | 0 | −0.623490 | − | 0.781831i | \(-0.714286\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.300754 | + | 0.766310i | −0.300754 | + | 0.766310i | ||||
\(676\) | 0.217550 | + | 2.90301i | 0.217550 | + | 2.90301i | ||||
\(677\) | 0 | 0 | −0.365341 | − | 0.930874i | \(-0.619048\pi\) | ||||
0.365341 | + | 0.930874i | \(0.380952\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.167917 | + | 2.24070i | −0.167917 | + | 2.24070i | ||||
\(682\) | 0.247176 | − | 0.0762438i | 0.247176 | − | 0.0762438i | ||||
\(683\) | −1.64786 | − | 1.12349i | −1.64786 | − | 1.12349i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
−0.781831 | − | 0.623490i | \(-0.785714\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0.997204 | + | 0.0747301i | 0.997204 | + | 0.0747301i | ||||
\(687\) | 0.501402 | 0.501402 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 0.244221 | + | 0.166507i | 0.244221 | + | 0.166507i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.0648483 | − | 0.865341i | 0.0648483 | − | 0.865341i | −0.866025 | − | 0.500000i | \(-0.833333\pi\) |
0.930874 | − | 0.365341i | \(-0.119048\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −0.0348320 | − | 0.0723293i | −0.0348320 | − | 0.0723293i | ||||
\(694\) | 1.75676 | − | 0.846011i | 1.75676 | − | 0.846011i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0 | 0 | ||||||||
\(698\) | 0.425270 | + | 0.131178i | 0.425270 | + | 0.131178i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.563320 | + | 0.826239i | 0.563320 | + | 0.826239i | ||||
\(701\) | −0.0931869 | + | 0.116853i | −0.0931869 | + | 0.116853i | −0.826239 | − | 0.563320i | \(-0.809524\pi\) |
0.733052 | + | 0.680173i | \(0.238095\pi\) | |||||||
\(702\) | 1.34515 | − | 0.917109i | 1.34515 | − | 0.917109i | ||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −0.149042 | − | 0.258149i | −0.149042 | − | 0.258149i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.222521 | − | 0.974928i | −0.222521 | − | 0.974928i | ||||
\(707\) | −0.185853 | + | 1.23305i | −0.185853 | + | 1.23305i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0 | 0 | −0.733052 | − | 0.680173i | \(-0.761905\pi\) | ||||
0.733052 | + | 0.680173i | \(0.238095\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.495802 | − | 0.0747301i | −0.495802 | − | 0.0747301i | ||||
\(712\) | −1.21135 | − | 1.12397i | −1.21135 | − | 1.12397i | ||||
\(713\) | 0.301938 | − | 1.32288i | 0.301938 | − | 1.32288i | ||||
\(714\) | 0.766310 | + | 0.825886i | 0.766310 | + | 0.825886i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.246289 | − | 0.167917i | 0.246289 | − | 0.167917i | −0.433884 | − | 0.900969i | \(-0.642857\pi\) |
0.680173 | + | 0.733052i | \(0.261905\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −0.623490 | − | 0.781831i | −0.623490 | − | 0.781831i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0.375035 | + | 0.955573i | 0.375035 | + | 0.955573i | ||||
\(727\) | 0 | 0 | 0.900969 | − | 0.433884i | \(-0.142857\pi\) | ||||
−0.900969 | + | 0.433884i | \(0.857143\pi\) | |||||||
\(728\) | − | 1.97766i | − | 1.97766i | ||||||
\(729\) | −0.545223 | − | 0.262566i | −0.545223 | − | 0.262566i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0 | 0 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 0.988831 | − | 0.149042i | 0.988831 | − | 0.149042i | 0.365341 | − | 0.930874i | \(-0.380952\pi\) |
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(734\) | −0.589510 | −0.589510 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.56366 | −1.56366 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0 | 0 | 0.955573 | − | 0.294755i | \(-0.0952381\pi\) | ||||
−0.955573 | + | 0.294755i | \(0.904762\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.116853 | − | 0.0931869i | −0.116853 | − | 0.0931869i | ||||
\(743\) | 1.01507 | − | 0.488831i | 1.01507 | − | 0.488831i | 0.149042 | − | 0.988831i | \(-0.452381\pi\) |
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(744\) | 0.357180 | + | 0.910080i | 0.357180 | + | 0.910080i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −0.722521 | + | 1.84095i | −0.722521 | + | 1.84095i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.185853 | + | 0.233052i | 0.185853 | + | 0.233052i | ||||
\(749\) | −0.400969 | + | 0.432142i | −0.400969 | + | 0.432142i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.53825 | + | 1.04876i | −1.53825 | + | 1.04876i | −0.563320 | + | 0.826239i | \(0.690476\pi\) |
−0.974928 | + | 0.222521i | \(0.928571\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.712926 | + | 0.411608i | −0.712926 | + | 0.411608i | ||||
\(757\) | −0.222521 | + | 0.974928i | −0.222521 | + | 0.974928i | 0.733052 | + | 0.680173i | \(0.238095\pi\) |
−0.955573 | + | 0.294755i | \(0.904762\pi\) | |||||||
\(758\) | −1.26968 | − | 1.17809i | −1.26968 | − | 1.17809i | ||||
\(759\) | −0.519266 | − | 0.0782667i | −0.519266 | − | 0.0782667i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −1.07473 | − | 0.997204i | −1.07473 | − | 0.997204i | −0.0747301 | − | 0.997204i | \(-0.523810\pi\) |
−1.00000 | \(\pi\) | |||||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0.930874 | − | 0.634659i | 0.930874 | − | 0.634659i | ||||
\(769\) | 0.623490 | − | 0.781831i | 0.623490 | − | 0.781831i | −0.365341 | − | 0.930874i | \(-0.619048\pi\) |
0.988831 | + | 0.149042i | \(0.0476190\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.702449 | + | 0.880843i | 0.702449 | + | 0.880843i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 0.535628 | − | 1.36476i | 0.535628 | − | 1.36476i | −0.365341 | − | 0.930874i | \(-0.619048\pi\) |
0.900969 | − | 0.433884i | \(-0.142857\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.317031 | − | 0.807782i | −0.317031 | − | 0.807782i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.32091 | + | 0.636119i | 1.32091 | + | 0.636119i | ||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.491201 | + | 0.334895i | 0.491201 | + | 0.334895i | ||||
\(782\) | 1.54620 | − | 0.233052i | 1.54620 | − | 0.233052i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.0747301 | + | 0.997204i | −0.0747301 | + | 0.997204i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 1.74201 | − | 0.262566i | 1.74201 | − | 0.262566i | ||||
\(787\) | 1.61105 | + | 1.09839i | 1.61105 | + | 1.09839i | 0.930874 | + | 0.365341i | \(0.119048\pi\) |
0.680173 | + | 0.733052i | \(0.261905\pi\) |