Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(28,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.e (of order \(9\), degree \(6\), 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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 28.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.28 |
Dual form | 361.2.e.e.245.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(3\) | 1.53209 | − | 1.28558i | 0.884552 | − | 0.742227i | −0.0825579 | − | 0.996586i | \(-0.526309\pi\) |
0.967110 | + | 0.254359i | \(0.0818645\pi\) | |||||||
\(4\) | 1.87939 | − | 0.684040i | 0.939693 | − | 0.342020i | ||||
\(5\) | −2.81908 | − | 1.02606i | −1.26073 | − | 0.458868i | −0.376716 | − | 0.926329i | \(-0.622947\pi\) |
−0.884014 | + | 0.467461i | \(0.845169\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.500000 | − | 0.866025i | 0.188982 | − | 0.327327i | −0.755929 | − | 0.654654i | \(-0.772814\pi\) |
0.944911 | + | 0.327327i | \(0.106148\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.173648 | − | 0.984808i | 0.0578827 | − | 0.328269i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.50000 | − | 2.59808i | −0.452267 | − | 0.783349i | 0.546259 | − | 0.837616i | \(-0.316051\pi\) |
−0.998526 | + | 0.0542666i | \(0.982718\pi\) | |||||||
\(12\) | 2.00000 | − | 3.46410i | 0.577350 | − | 1.00000i | ||||
\(13\) | 3.06418 | + | 2.57115i | 0.849850 | + | 0.713109i | 0.959757 | − | 0.280833i | \(-0.0906107\pi\) |
−0.109907 | + | 0.993942i | \(0.535055\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.63816 | + | 2.05212i | −1.45577 | + | 0.529855i | ||||
\(16\) | 3.06418 | − | 2.57115i | 0.766044 | − | 0.642788i | ||||
\(17\) | −0.520945 | − | 2.95442i | −0.126348 | − | 0.716553i | −0.980498 | − | 0.196527i | \(-0.937034\pi\) |
0.854151 | − | 0.520026i | \(-0.174078\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −6.00000 | −1.34164 | ||||||||
\(21\) | −0.347296 | − | 1.96962i | −0.0757863 | − | 0.429805i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.06418 | + | 2.57115i | 0.612836 | + | 0.514230i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.00000 | + | 3.46410i | 0.384900 | + | 0.666667i | ||||
\(28\) | 0.347296 | − | 1.96962i | 0.0656328 | − | 0.372222i | ||||
\(29\) | −1.04189 | + | 5.90885i | −0.193474 | + | 1.09725i | 0.721101 | + | 0.692830i | \(0.243636\pi\) |
−0.914575 | + | 0.404416i | \(0.867475\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.00000 | + | 3.46410i | −0.359211 | + | 0.622171i | −0.987829 | − | 0.155543i | \(-0.950287\pi\) |
0.628619 | + | 0.777714i | \(0.283621\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −5.63816 | − | 2.05212i | −0.981477 | − | 0.357228i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.29813 | + | 1.92836i | −0.388455 | + | 0.325953i | ||||
\(36\) | −0.347296 | − | 1.96962i | −0.0578827 | − | 0.328269i | ||||
\(37\) | −2.00000 | −0.328798 | −0.164399 | − | 0.986394i | \(-0.552568\pi\) | ||||
−0.164399 | + | 0.986394i | \(0.552568\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 8.00000 | 1.28103 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.59627 | − | 3.85673i | 0.717816 | − | 0.602319i | −0.208964 | − | 0.977923i | \(-0.567009\pi\) |
0.926780 | + | 0.375604i | \(0.122565\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.939693 | + | 0.342020i | 0.143302 | + | 0.0521576i | 0.412675 | − | 0.910878i | \(-0.364594\pi\) |
−0.269374 | + | 0.963036i | \(0.586817\pi\) | |||||||
\(44\) | −4.59627 | − | 3.85673i | −0.692913 | − | 0.581423i | ||||
\(45\) | −1.50000 | + | 2.59808i | −0.223607 | + | 0.387298i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.520945 | + | 2.95442i | −0.0759876 | + | 0.430947i | 0.922952 | + | 0.384914i | \(0.125769\pi\) |
−0.998940 | + | 0.0460327i | \(0.985342\pi\) | |||||||
\(48\) | 1.38919 | − | 7.87846i | 0.200512 | − | 1.13716i | ||||
\(49\) | 3.00000 | + | 5.19615i | 0.428571 | + | 0.742307i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.59627 | − | 3.85673i | −0.643606 | − | 0.540050i | ||||
\(52\) | 7.51754 | + | 2.73616i | 1.04250 | + | 0.379437i | ||||
\(53\) | 11.2763 | − | 4.10424i | 1.54892 | − | 0.563761i | 0.580756 | − | 0.814077i | \(-0.302757\pi\) |
0.968164 | + | 0.250316i | \(0.0805347\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.56283 | + | 8.86327i | 0.210732 | + | 1.19512i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.04189 | + | 5.90885i | 0.135642 | + | 0.769266i | 0.974410 | + | 0.224777i | \(0.0721654\pi\) |
−0.838768 | + | 0.544489i | \(0.816724\pi\) | |||||||
\(60\) | −9.19253 | + | 7.71345i | −1.18675 | + | 0.995802i | ||||
\(61\) | 0.939693 | − | 0.342020i | 0.120315 | − | 0.0437912i | −0.281161 | − | 0.959661i | \(-0.590719\pi\) |
0.401476 | + | 0.915869i | \(0.368497\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.766044 | − | 0.642788i | −0.0965125 | − | 0.0809836i | ||||
\(64\) | 4.00000 | − | 6.92820i | 0.500000 | − | 0.866025i | ||||
\(65\) | −6.00000 | − | 10.3923i | −0.744208 | − | 1.28901i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.694593 | − | 3.93923i | 0.0848580 | − | 0.481254i | −0.912529 | − | 0.409012i | \(-0.865874\pi\) |
0.997387 | − | 0.0722419i | \(-0.0230154\pi\) | |||||||
\(68\) | −3.00000 | − | 5.19615i | −0.363803 | − | 0.630126i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.63816 | + | 2.05212i | 0.669126 | + | 0.243542i | 0.654172 | − | 0.756346i | \(-0.273017\pi\) |
0.0149545 | + | 0.999888i | \(0.495240\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.36231 | + | 4.49951i | −0.627611 | + | 0.526628i | −0.900186 | − | 0.435506i | \(-0.856569\pi\) |
0.272575 | + | 0.962135i | \(0.412125\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 8.00000 | 0.923760 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −3.00000 | −0.341882 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.12836 | + | 5.14230i | −0.689494 | + | 0.578554i | −0.918763 | − | 0.394809i | \(-0.870811\pi\) |
0.229269 | + | 0.973363i | \(0.426366\pi\) | |||||||
\(80\) | −11.2763 | + | 4.10424i | −1.26073 | + | 0.458868i | ||||
\(81\) | 10.3366 | + | 3.76222i | 1.14851 | + | 0.418025i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.00000 | + | 10.3923i | −0.658586 | + | 1.14070i | 0.322396 | + | 0.946605i | \(0.395512\pi\) |
−0.980982 | + | 0.194099i | \(0.937822\pi\) | |||||||
\(84\) | −2.00000 | − | 3.46410i | −0.218218 | − | 0.377964i | ||||
\(85\) | −1.56283 | + | 8.86327i | −0.169513 | + | 0.961357i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 6.00000 | + | 10.3923i | 0.643268 | + | 1.11417i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −9.19253 | − | 7.71345i | −0.974407 | − | 0.817624i | 0.00882955 | − | 0.999961i | \(-0.497189\pi\) |
−0.983236 | + | 0.182337i | \(0.941634\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.75877 | − | 1.36808i | 0.394026 | − | 0.143414i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.38919 | + | 7.87846i | 0.144052 | + | 0.816958i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.38919 | − | 7.87846i | −0.141050 | − | 0.799937i | −0.970454 | − | 0.241287i | \(-0.922431\pi\) |
0.829403 | − | 0.558650i | \(-0.188680\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.81908 | + | 1.02606i | −0.283328 | + | 0.103123i | ||||
\(100\) | 7.51754 | + | 2.73616i | 0.751754 | + | 0.273616i | ||||
\(101\) | 4.59627 | + | 3.85673i | 0.457346 | + | 0.383759i | 0.842153 | − | 0.539238i | \(-0.181288\pi\) |
−0.384808 | + | 0.922997i | \(0.625732\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.00000 | + | 12.1244i | 0.689730 | + | 1.19465i | 0.971925 | + | 0.235291i | \(0.0756043\pi\) |
−0.282194 | + | 0.959357i | \(0.591062\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.04189 | + | 5.90885i | −0.101678 | + | 0.576644i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.00000 | + | 15.5885i | −0.870063 | + | 1.50699i | −0.00813215 | + | 0.999967i | \(0.502589\pi\) |
−0.861931 | + | 0.507026i | \(0.830745\pi\) | |||||||
\(108\) | 6.12836 | + | 5.14230i | 0.589701 | + | 0.494818i | ||||
\(109\) | −15.0351 | − | 5.47232i | −1.44010 | − | 0.524153i | −0.500292 | − | 0.865857i | \(-0.666774\pi\) |
−0.939808 | + | 0.341703i | \(0.888996\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.06418 | + | 2.57115i | −0.290839 | + | 0.244043i | ||||
\(112\) | −0.694593 | − | 3.93923i | −0.0656328 | − | 0.372222i | ||||
\(113\) | −6.00000 | −0.564433 | −0.282216 | − | 0.959351i | \(-0.591070\pi\) | ||||
−0.282216 | + | 0.959351i | \(0.591070\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 2.08378 | + | 11.8177i | 0.193474 | + | 1.09725i | ||||
\(117\) | 3.06418 | − | 2.57115i | 0.283283 | − | 0.237703i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −2.81908 | − | 1.02606i | −0.258424 | − | 0.0940588i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | − | 1.73205i | 0.0909091 | − | 0.157459i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.08378 | − | 11.8177i | 0.187888 | − | 1.06557i | ||||
\(124\) | −1.38919 | + | 7.87846i | −0.124753 | + | 0.707507i | ||||
\(125\) | 1.50000 | + | 2.59808i | 0.134164 | + | 0.232379i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.53209 | − | 1.28558i | −0.135951 | − | 0.114076i | 0.572276 | − | 0.820061i | \(-0.306060\pi\) |
−0.708227 | + | 0.705984i | \(0.750505\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.87939 | − | 0.684040i | 0.165471 | − | 0.0602264i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.60472 | − | 14.7721i | −0.227576 | − | 1.29065i | −0.857700 | − | 0.514151i | \(-0.828107\pi\) |
0.630124 | − | 0.776495i | \(-0.283004\pi\) | |||||||
\(132\) | −12.0000 | −1.04447 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.08378 | − | 11.8177i | −0.179343 | − | 1.01711i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.81908 | − | 1.02606i | 0.240850 | − | 0.0876623i | −0.218775 | − | 0.975775i | \(-0.570206\pi\) |
0.459625 | + | 0.888113i | \(0.347984\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.95858 | − | 8.35624i | −0.844676 | − | 0.708767i | 0.113935 | − | 0.993488i | \(-0.463655\pi\) |
−0.958610 | + | 0.284721i | \(0.908099\pi\) | |||||||
\(140\) | −3.00000 | + | 5.19615i | −0.253546 | + | 0.439155i | ||||
\(141\) | 3.00000 | + | 5.19615i | 0.252646 | + | 0.437595i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.08378 | − | 11.8177i | 0.174254 | − | 0.988245i | ||||
\(144\) | −2.00000 | − | 3.46410i | −0.166667 | − | 0.288675i | ||||
\(145\) | 9.00000 | − | 15.5885i | 0.747409 | − | 1.29455i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 11.2763 | + | 4.10424i | 0.930054 | + | 0.338512i | ||||
\(148\) | −3.75877 | + | 1.36808i | −0.308969 | + | 0.112456i | ||||
\(149\) | 16.0869 | − | 13.4985i | 1.31789 | − | 1.10584i | 0.331146 | − | 0.943580i | \(-0.392565\pi\) |
0.986747 | − | 0.162264i | \(-0.0518795\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 10.0000 | 0.813788 | 0.406894 | − | 0.913475i | \(-0.366612\pi\) | ||||
0.406894 | + | 0.913475i | \(0.366612\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.00000 | −0.242536 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 9.19253 | − | 7.71345i | 0.738362 | − | 0.619559i | ||||
\(156\) | 15.0351 | − | 5.47232i | 1.20377 | − | 0.438136i | ||||
\(157\) | −13.1557 | − | 4.78828i | −1.04994 | − | 0.382147i | −0.241299 | − | 0.970451i | \(-0.577574\pi\) |
−0.808640 | + | 0.588304i | \(0.799796\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 12.0000 | − | 20.7846i | 0.951662 | − | 1.64833i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −10.0000 | − | 17.3205i | −0.783260 | − | 1.35665i | −0.930033 | − | 0.367477i | \(-0.880222\pi\) |
0.146772 | − | 0.989170i | \(-0.453112\pi\) | |||||||
\(164\) | 6.00000 | − | 10.3923i | 0.468521 | − | 0.811503i | ||||
\(165\) | 13.7888 | + | 11.5702i | 1.07346 | + | 0.900737i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −16.9145 | + | 6.15636i | −1.30888 | + | 0.476394i | −0.899879 | − | 0.436140i | \(-0.856345\pi\) |
−0.409002 | + | 0.912534i | \(0.634123\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.520945 | + | 2.95442i | 0.0400727 | + | 0.227263i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.00000 | 0.152499 | ||||||||
\(173\) | 3.12567 | + | 17.7265i | 0.237640 | + | 1.34772i | 0.836982 | + | 0.547231i | \(0.184318\pi\) |
−0.599342 | + | 0.800493i | \(0.704571\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.75877 | − | 1.36808i | 0.284136 | − | 0.103417i | ||||
\(176\) | −11.2763 | − | 4.10424i | −0.849984 | − | 0.309369i | ||||
\(177\) | 9.19253 | + | 7.71345i | 0.690953 | + | 0.579779i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.00000 | − | 15.5885i | −0.672692 | − | 1.16514i | −0.977138 | − | 0.212607i | \(-0.931805\pi\) |
0.304446 | − | 0.952529i | \(-0.401529\pi\) | |||||||
\(180\) | −1.04189 | + | 5.90885i | −0.0776578 | + | 0.440419i | ||||
\(181\) | −0.347296 | + | 1.96962i | −0.0258143 | + | 0.146400i | −0.994991 | − | 0.0999676i | \(-0.968126\pi\) |
0.969176 | + | 0.246368i | \(0.0792372\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.00000 | − | 1.73205i | 0.0739221 | − | 0.128037i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.63816 | + | 2.05212i | 0.414525 | + | 0.150875i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.89440 | + | 5.78509i | −0.504168 | + | 0.423048i | ||||
\(188\) | 1.04189 | + | 5.90885i | 0.0759876 | + | 0.430947i | ||||
\(189\) | 4.00000 | 0.290957 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.00000 | 0.217072 | 0.108536 | − | 0.994092i | \(-0.465384\pi\) | ||||
0.108536 | + | 0.994092i | \(0.465384\pi\) | |||||||
\(192\) | −2.77837 | − | 15.7569i | −0.200512 | − | 1.13716i | ||||
\(193\) | 3.06418 | − | 2.57115i | 0.220564 | − | 0.185075i | −0.525810 | − | 0.850602i | \(-0.676238\pi\) |
0.746374 | + | 0.665527i | \(0.231793\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −22.5526 | − | 8.20848i | −1.61503 | − | 0.587822i | ||||
\(196\) | 9.19253 | + | 7.71345i | 0.656610 | + | 0.550961i | ||||
\(197\) | −9.00000 | + | 15.5885i | −0.641223 | + | 1.11063i | 0.343937 | + | 0.938993i | \(0.388239\pi\) |
−0.985160 | + | 0.171639i | \(0.945094\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.91013 | − | 10.8329i | 0.135406 | − | 0.767923i | −0.839171 | − | 0.543868i | \(-0.816959\pi\) |
0.974576 | − | 0.224055i | \(-0.0719296\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.00000 | − | 6.92820i | −0.282138 | − | 0.488678i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.59627 | + | 3.85673i | 0.322595 | + | 0.270689i | ||||
\(204\) | −11.2763 | − | 4.10424i | −0.789500 | − | 0.287354i | ||||
\(205\) | −16.9145 | + | 6.15636i | −1.18136 | + | 0.429979i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 16.0000 | 1.10940 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.43107 | − | 13.7873i | −0.167362 | − | 0.949157i | −0.946595 | − | 0.322424i | \(-0.895502\pi\) |
0.779233 | − | 0.626734i | \(-0.215609\pi\) | |||||||
\(212\) | 18.3851 | − | 15.4269i | 1.26269 | − | 1.05952i | ||||
\(213\) | 11.2763 | − | 4.10424i | 0.772640 | − | 0.281218i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −2.29813 | − | 1.92836i | −0.156731 | − | 0.131513i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.00000 | + | 3.46410i | 0.135769 | + | 0.235159i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.43107 | + | 13.7873i | −0.164277 | + | 0.931660i | ||||
\(220\) | 9.00000 | + | 15.5885i | 0.606780 | + | 1.05097i | ||||
\(221\) | 6.00000 | − | 10.3923i | 0.403604 | − | 0.699062i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −9.39693 | − | 3.42020i | −0.629265 | − | 0.229034i | 0.00764652 | − | 0.999971i | \(-0.497566\pi\) |
−0.636911 | + | 0.770937i | \(0.719788\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.06418 | − | 2.57115i | 0.204279 | − | 0.171410i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −12.0000 | −0.796468 | −0.398234 | − | 0.917284i | \(-0.630377\pi\) | ||||
−0.398234 | + | 0.917284i | \(0.630377\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.00000 | 0.330409 | 0.165205 | − | 0.986259i | \(-0.447172\pi\) | ||||
0.165205 | + | 0.986259i | \(0.447172\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.59627 | + | 3.85673i | −0.302412 | + | 0.253754i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 19.7335 | + | 7.18242i | 1.29279 | + | 0.470536i | 0.894641 | − | 0.446786i | \(-0.147431\pi\) |
0.398146 | + | 0.917322i | \(0.369654\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.50000 | − | 7.79423i | 0.293548 | − | 0.508439i | ||||
\(236\) | 6.00000 | + | 10.3923i | 0.390567 | + | 0.676481i | ||||
\(237\) | −2.77837 | + | 15.7569i | −0.180475 | + | 1.02352i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.50000 | − | 12.9904i | −0.485135 | − | 0.840278i | 0.514719 | − | 0.857359i | \(-0.327896\pi\) |
−0.999854 | + | 0.0170808i | \(0.994563\pi\) | |||||||
\(240\) | −12.0000 | + | 20.7846i | −0.774597 | + | 1.34164i | ||||
\(241\) | 7.66044 | + | 6.42788i | 0.493453 | + | 0.414056i | 0.855262 | − | 0.518196i | \(-0.173396\pi\) |
−0.361809 | + | 0.932252i | \(0.617841\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 9.39693 | − | 3.42020i | 0.602813 | − | 0.219406i | ||||
\(244\) | 1.53209 | − | 1.28558i | 0.0980819 | − | 0.0823005i | ||||
\(245\) | −3.12567 | − | 17.7265i | −0.199692 | − | 1.13251i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.16756 | + | 23.6354i | 0.264108 | + | 1.49783i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −19.7335 | + | 7.18242i | −1.24557 | + | 0.453351i | −0.878903 | − | 0.477001i | \(-0.841724\pi\) |
−0.366668 | + | 0.930352i | \(0.619501\pi\) | |||||||
\(252\) | −1.87939 | − | 0.684040i | −0.118390 | − | 0.0430905i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 9.00000 | + | 15.5885i | 0.563602 | + | 0.976187i | ||||
\(256\) | 2.77837 | − | 15.7569i | 0.173648 | − | 0.984808i | ||||
\(257\) | 0 | 0 | −0.984808 | − | 0.173648i | \(-0.944444\pi\) | ||||
0.984808 | + | 0.173648i | \(0.0555556\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.00000 | + | 1.73205i | −0.0621370 | + | 0.107624i | ||||
\(260\) | −18.3851 | − | 15.4269i | −1.14019 | − | 0.956736i | ||||
\(261\) | 5.63816 | + | 2.05212i | 0.348993 | + | 0.127023i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 6.89440 | − | 5.78509i | 0.425127 | − | 0.356724i | −0.404982 | − | 0.914324i | \(-0.632722\pi\) |
0.830109 | + | 0.557601i | \(0.188278\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −36.0000 | −2.21146 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −24.0000 | −1.46878 | ||||||||
\(268\) | −1.38919 | − | 7.87846i | −0.0848580 | − | 0.481254i | ||||
\(269\) | −18.3851 | + | 15.4269i | −1.12096 | + | 0.940595i | −0.998652 | − | 0.0518977i | \(-0.983473\pi\) |
−0.122305 | + | 0.992493i | \(0.539029\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.0351 | + | 5.47232i | 0.913316 | + | 0.332420i | 0.755576 | − | 0.655061i | \(-0.227357\pi\) |
0.157740 | + | 0.987481i | \(0.449579\pi\) | |||||||
\(272\) | −9.19253 | − | 7.71345i | −0.557379 | − | 0.467697i | ||||
\(273\) | 4.00000 | − | 6.92820i | 0.242091 | − | 0.419314i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 2.08378 | − | 11.8177i | 0.125657 | − | 0.712634i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.50000 | + | 16.4545i | 0.570800 | + | 0.988654i | 0.996484 | + | 0.0837823i | \(0.0267000\pi\) |
−0.425684 | + | 0.904872i | \(0.639967\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.06418 | + | 2.57115i | 0.183448 | + | 0.153931i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 5.63816 | − | 2.05212i | 0.336344 | − | 0.122419i | −0.168326 | − | 0.985731i | \(-0.553836\pi\) |
0.504670 | + | 0.863312i | \(0.331614\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.25743 | − | 12.8025i | −0.134190 | − | 0.761030i | −0.975420 | − | 0.220353i | \(-0.929279\pi\) |
0.841230 | − | 0.540677i | \(-0.181832\pi\) | |||||||
\(284\) | 12.0000 | 0.712069 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −1.04189 | − | 5.90885i | −0.0615008 | − | 0.348788i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.51754 | − | 2.73616i | 0.442208 | − | 0.160951i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −12.2567 | − | 10.2846i | −0.718501 | − | 0.602894i | ||||
\(292\) | −7.00000 | + | 12.1244i | −0.409644 | + | 0.709524i | ||||
\(293\) | −6.00000 | − | 10.3923i | −0.350524 | − | 0.607125i | 0.635818 | − | 0.771839i | \(-0.280663\pi\) |
−0.986341 | + | 0.164714i | \(0.947330\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.12567 | − | 17.7265i | 0.181983 | − | 1.03208i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.00000 | − | 10.3923i | 0.348155 | − | 0.603023i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 15.0351 | − | 5.47232i | 0.868051 | − | 0.315945i | ||||
\(301\) | 0.766044 | − | 0.642788i | 0.0441541 | − | 0.0370497i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 12.0000 | 0.689382 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3.00000 | −0.171780 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.3209 | + | 12.8558i | −0.874409 | + | 0.733717i | −0.965022 | − | 0.262170i | \(-0.915562\pi\) |
0.0906125 | + | 0.995886i | \(0.471118\pi\) | |||||||
\(308\) | −5.63816 | + | 2.05212i | −0.321264 | + | 0.116930i | ||||
\(309\) | 26.3114 | + | 9.57656i | 1.49680 | + | 0.544792i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.50000 | − | 2.59808i | 0.0850572 | − | 0.147323i | −0.820358 | − | 0.571850i | \(-0.806226\pi\) |
0.905416 | + | 0.424526i | \(0.139559\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.73648 | + | 9.84808i | −0.0981518 | + | 0.556646i | 0.895584 | + | 0.444892i | \(0.146758\pi\) |
−0.993736 | + | 0.111754i | \(0.964353\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.50000 | + | 2.59808i | 0.0845154 | + | 0.146385i | ||||
\(316\) | −8.00000 | + | 13.8564i | −0.450035 | + | 0.779484i | ||||
\(317\) | −4.59627 | − | 3.85673i | −0.258152 | − | 0.216615i | 0.504521 | − | 0.863399i | \(-0.331669\pi\) |
−0.762673 | + | 0.646784i | \(0.776114\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 16.9145 | − | 6.15636i | 0.947028 | − | 0.344690i | ||||
\(320\) | −18.3851 | + | 15.4269i | −1.02776 | + | 0.862390i | ||||
\(321\) | 6.25133 | + | 35.4531i | 0.348915 | + | 1.97880i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 22.0000 | 1.22222 | ||||||||
\(325\) | 2.77837 | + | 15.7569i | 0.154116 | + | 0.874037i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −30.0702 | + | 10.9446i | −1.66288 | + | 0.605240i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 2.29813 | + | 1.92836i | 0.126700 | + | 0.106314i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −14.0000 | − | 24.2487i | −0.769510 | − | 1.33283i | −0.937829 | − | 0.347097i | \(-0.887167\pi\) |
0.168320 | − | 0.985732i | \(-0.446166\pi\) | |||||||
\(332\) | −4.16756 | + | 23.6354i | −0.228724 | + | 1.29716i | ||||
\(333\) | −0.347296 | + | 1.96962i | −0.0190317 | + | 0.107934i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −6.00000 | + | 10.3923i | −0.327815 | + | 0.567792i | ||||
\(336\) | −6.12836 | − | 5.14230i | −0.334329 | − | 0.280536i | ||||
\(337\) | 30.0702 | + | 10.9446i | 1.63803 | + | 0.596193i | 0.986692 | − | 0.162598i | \(-0.0519875\pi\) |
0.651334 | + | 0.758791i | \(0.274210\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.19253 | + | 7.71345i | −0.499270 | + | 0.418937i | ||||
\(340\) | 3.12567 | + | 17.7265i | 0.169513 | + | 0.961357i | ||||
\(341\) | 12.0000 | 0.649836 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.0000 | 0.701934 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −19.7335 | − | 7.18242i | −1.05935 | − | 0.385573i | −0.247167 | − | 0.968973i | \(-0.579500\pi\) |
−0.812185 | + | 0.583400i | \(0.801722\pi\) | |||||||
\(348\) | 18.3851 | + | 15.4269i | 0.985543 | + | 0.826969i | ||||
\(349\) | −8.50000 | + | 14.7224i | −0.454995 | + | 0.788074i | −0.998688 | − | 0.0512103i | \(-0.983692\pi\) |
0.543693 | + | 0.839284i | \(0.317025\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.77837 | + | 15.7569i | −0.148298 | + | 0.841042i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.00000 | + | 5.19615i | 0.159674 | + | 0.276563i | 0.934751 | − | 0.355303i | \(-0.115622\pi\) |
−0.775077 | + | 0.631867i | \(0.782289\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −13.7888 | − | 11.5702i | −0.731834 | − | 0.614081i | ||||
\(356\) | −22.5526 | − | 8.20848i | −1.19529 | − | 0.435049i | ||||
\(357\) | −5.63816 | + | 2.05212i | −0.298403 | + | 0.108610i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.60472 | + | 14.7721i | 0.137472 | + | 0.779642i | 0.973106 | + | 0.230356i | \(0.0739892\pi\) |
−0.835634 | + | 0.549286i | \(0.814900\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −0.694593 | − | 3.93923i | −0.0364567 | − | 0.206756i | ||||
\(364\) | 6.12836 | − | 5.14230i | 0.321213 | − | 0.269530i | ||||
\(365\) | 19.7335 | − | 7.18242i | 1.03290 | − | 0.375945i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.12836 | + | 5.14230i | 0.319898 | + | 0.268426i | 0.788569 | − | 0.614947i | \(-0.210823\pi\) |
−0.468671 | + | 0.883373i | \(0.655267\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.00000 | − | 5.19615i | −0.156174 | − | 0.270501i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.08378 | − | 11.8177i | 0.108184 | − | 0.613544i | ||||
\(372\) | 8.00000 | + | 13.8564i | 0.414781 | + | 0.718421i | ||||
\(373\) | −2.00000 | + | 3.46410i | −0.103556 | + | 0.179364i | −0.913147 | − | 0.407630i | \(-0.866355\pi\) |
0.809591 | + | 0.586994i | \(0.199689\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 5.63816 | + | 2.05212i | 0.291153 | + | 0.105971i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −18.3851 | + | 15.4269i | −0.946879 | + | 0.794526i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.0000 | 1.74646 | 0.873231 | − | 0.487306i | \(-0.162020\pi\) | ||||
0.873231 | + | 0.487306i | \(0.162020\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.00000 | −0.204926 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −9.19253 | + | 7.71345i | −0.469717 | + | 0.394139i | −0.846691 | − | 0.532085i | \(-0.821409\pi\) |
0.376975 | + | 0.926224i | \(0.376964\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8.45723 | + | 3.07818i | 0.431021 | + | 0.156879i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.500000 | − | 0.866025i | 0.0254164 | − | 0.0440225i | ||||
\(388\) | −8.00000 | − | 13.8564i | −0.406138 | − | 0.703452i | ||||
\(389\) | 2.60472 | − | 14.7721i | 0.132065 | − | 0.748976i | −0.844794 | − | 0.535091i | \(-0.820277\pi\) |
0.976859 | − | 0.213885i | \(-0.0686117\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0 | 0 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −22.9813 | − | 19.2836i | −1.15925 | − | 0.972730i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 22.5526 | − | 8.20848i | 1.13475 | − | 0.413014i | ||||
\(396\) | −4.59627 | + | 3.85673i | −0.230971 | + | 0.193808i | ||||
\(397\) | −1.21554 | − | 6.89365i | −0.0610061 | − | 0.345983i | −0.999998 | − | 0.00204319i | \(-0.999350\pi\) |
0.938992 | − | 0.343939i | \(-0.111761\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 16.0000 | 0.800000 | ||||||||
\(401\) | −2.08378 | − | 11.8177i | −0.104059 | − | 0.590147i | −0.991592 | − | 0.129403i | \(-0.958694\pi\) |
0.887533 | − | 0.460744i | \(-0.152417\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −15.0351 | + | 5.47232i | −0.748951 | + | 0.272596i | ||||
\(404\) | 11.2763 | + | 4.10424i | 0.561017 | + | 0.204194i | ||||
\(405\) | −25.2795 | − | 21.2120i | −1.25615 | − | 1.05403i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.00000 | + | 5.19615i | 0.148704 | + | 0.257564i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.694593 | − | 3.93923i | 0.0343454 | − | 0.194782i | −0.962808 | − | 0.270188i | \(-0.912914\pi\) |
0.997153 | + | 0.0754057i | \(0.0240252\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 3.00000 | − | 5.19615i | 0.147979 | − | 0.256307i | ||||
\(412\) | 21.4492 | + | 17.9981i | 1.05673 | + | 0.886700i | ||||
\(413\) | 5.63816 | + | 2.05212i | 0.277436 | + | 0.100978i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 27.5776 | − | 23.1404i | 1.35373 | − | 1.13592i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −26.0000 | −1.27323 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | 2.08378 | + | 11.8177i | 0.101678 | + | 0.576644i | ||||
\(421\) | −6.12836 | + | 5.14230i | −0.298678 | + | 0.250620i | −0.779794 | − | 0.626037i | \(-0.784676\pi\) |
0.481116 | + | 0.876657i | \(0.340232\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.81908 | + | 1.02606i | 0.137068 | + | 0.0498888i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.00000 | − | 10.3923i | 0.291043 | − | 0.504101i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.173648 | − | 0.984808i | 0.00840342 | − | 0.0476582i | ||||
\(428\) | −6.25133 | + | 35.4531i | −0.302170 | + | 1.71369i | ||||
\(429\) | −12.0000 | − | 20.7846i | −0.579365 | − | 1.00349i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 18.3851 | + | 15.4269i | 0.885577 | + | 0.743088i | 0.967318 | − | 0.253566i | \(-0.0816035\pi\) |
−0.0817406 | + | 0.996654i | \(0.526048\pi\) | |||||||
\(432\) | 15.0351 | + | 5.47232i | 0.723376 | + | 0.263287i | ||||
\(433\) | 1.87939 | − | 0.684040i | 0.0903175 | − | 0.0328729i | −0.296466 | − | 0.955043i | \(-0.595808\pi\) |
0.386784 | + | 0.922170i | \(0.373586\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.25133 | − | 35.4531i | −0.299729 | − | 1.69985i | ||||
\(436\) | −32.0000 | −1.53252 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.73648 | + | 9.84808i | 0.0828778 | + | 0.470023i | 0.997794 | + | 0.0663803i | \(0.0211450\pi\) |
−0.914917 | + | 0.403643i | \(0.867744\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.63816 | − | 2.05212i | 0.268484 | − | 0.0977200i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.29813 | − | 1.92836i | −0.109188 | − | 0.0916193i | 0.586559 | − | 0.809906i | \(-0.300482\pi\) |
−0.695747 | + | 0.718287i | \(0.744927\pi\) | |||||||
\(444\) | −4.00000 | + | 6.92820i | −0.189832 | + | 0.328798i | ||||
\(445\) | 18.0000 | + | 31.1769i | 0.853282 | + | 1.47793i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 7.29322 | − | 41.3619i | 0.344958 | − | 1.95635i | ||||
\(448\) | −4.00000 | − | 6.92820i | −0.188982 | − | 0.327327i | ||||
\(449\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.9145 | − | 6.15636i | −0.796471 | − | 0.289892i | ||||
\(452\) | −11.2763 | + | 4.10424i | −0.530393 | + | 0.193047i | ||||
\(453\) | 15.3209 | − | 12.8558i | 0.719838 | − | 0.604016i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −12.0000 | −0.562569 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −37.0000 | −1.73079 | −0.865393 | − | 0.501093i | \(-0.832931\pi\) | ||||
−0.865393 | + | 0.501093i | \(0.832931\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 9.19253 | − | 7.71345i | 0.429071 | − | 0.360033i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −8.45723 | − | 3.07818i | −0.393893 | − | 0.143365i | 0.137478 | − | 0.990505i | \(-0.456100\pi\) |
−0.531370 | + | 0.847140i | \(0.678323\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.5000 | − | 26.8468i | 0.720346 | − | 1.24768i | −0.240515 | − | 0.970645i | \(-0.577316\pi\) |
0.960861 | − | 0.277031i | \(-0.0893503\pi\) | |||||||
\(464\) | 12.0000 | + | 20.7846i | 0.557086 | + | 0.964901i | ||||
\(465\) | 4.16756 | − | 23.6354i | 0.193266 | − | 1.09606i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 13.5000 | + | 23.3827i | 0.624705 | + | 1.08202i | 0.988598 | + | 0.150581i | \(0.0481143\pi\) |
−0.363892 | + | 0.931441i | \(0.618552\pi\) | |||||||
\(468\) | 4.00000 | − | 6.92820i | 0.184900 | − | 0.320256i | ||||
\(469\) | −3.06418 | − | 2.57115i | −0.141491 | − | 0.118725i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −26.3114 | + | 9.57656i | −1.21237 | + | 0.441265i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.520945 | − | 2.95442i | −0.0239531 | − | 0.135845i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −6.00000 | −0.275010 | ||||||||
\(477\) | −2.08378 | − | 11.8177i | −0.0954096 | − | 0.541095i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 11.2763 | − | 4.10424i | 0.515228 | − | 0.187528i | −0.0713027 | − | 0.997455i | \(-0.522716\pi\) |
0.586531 | + | 0.809927i | \(0.300493\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.12836 | − | 5.14230i | −0.279429 | − | 0.234469i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.694593 | − | 3.93923i | 0.0315724 | − | 0.179056i | ||||
\(485\) | −4.16756 | + | 23.6354i | −0.189239 | + | 1.07323i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1.00000 | − | 1.73205i | 0.0453143 | − | 0.0784867i | −0.842479 | − | 0.538730i | \(-0.818904\pi\) |
0.887793 | + | 0.460243i | \(0.152238\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −37.5877 | − | 13.6808i | −1.69977 | − | 0.618667i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.19253 | − | 7.71345i | 0.414853 | − | 0.348103i | −0.411348 | − | 0.911478i | \(-0.634942\pi\) |
0.826201 | + | 0.563375i | \(0.190497\pi\) | |||||||
\(492\) | −4.16756 | − | 23.6354i | −0.187888 | − | 1.06557i | ||||
\(493\) | 18.0000 | 0.810679 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 9.00000 | 0.404520 | ||||||||
\(496\) | 2.77837 | + | 15.7569i | 0.124753 | + | 0.707507i | ||||
\(497\) | 4.59627 | − | 3.85673i | 0.206171 | − | 0.172998i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.69846 | − | 1.71010i | −0.210332 | − | 0.0765546i | 0.234705 | − | 0.972067i | \(-0.424587\pi\) |
−0.445038 | + | 0.895512i | \(0.646810\pi\) | |||||||
\(500\) | 4.59627 | + | 3.85673i | 0.205551 | + | 0.172478i | ||||
\(501\) | −18.0000 | + | 31.1769i | −0.804181 | + | 1.39288i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.08378 | − | 11.8177i | 0.0929111 | − | 0.526925i | −0.902456 | − | 0.430781i | \(-0.858238\pi\) |
0.995367 | − | 0.0961437i | \(-0.0306508\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.00000 | − | 15.5885i | −0.400495 | − | 0.693677i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 4.59627 | + | 3.85673i | 0.204127 | + | 0.171283i | ||||
\(508\) | −3.75877 | − | 1.36808i | −0.166768 | − | 0.0606988i | ||||
\(509\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.21554 | + | 6.89365i | 0.0537722 | + | 0.304957i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.29322 | − | 41.3619i | −0.321378 | − | 1.82262i | ||||
\(516\) | 3.06418 | − | 2.57115i | 0.134893 | − | 0.113189i | ||||
\(517\) | 8.45723 | − | 3.07818i | 0.371949 | − | 0.135378i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 27.5776 | + | 23.1404i | 1.21052 | + | 1.01575i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.59863 | + | 37.4227i | −0.288538 | + | 1.63638i | 0.403829 | + | 0.914835i | \(0.367679\pi\) |
−0.692367 | + | 0.721546i | \(0.743432\pi\) | |||||||
\(524\) | −15.0000 | − | 25.9808i | −0.655278 | − | 1.13497i | ||||
\(525\) | 4.00000 | − | 6.92820i | 0.174574 | − | 0.302372i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 11.2763 | + | 4.10424i | 0.491204 | + | 0.178784i | ||||
\(528\) | −22.5526 | + | 8.20848i | −0.981477 | + | 0.357228i | ||||
\(529\) | −17.6190 | + | 14.7841i | −0.766044 | + | 0.642788i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.00000 | 0.260378 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 24.0000 | 1.03956 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 41.3664 | − | 34.7105i | 1.78843 | − | 1.50067i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −33.8289 | − | 12.3127i | −1.45983 | − | 0.531333i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 9.00000 | − | 15.5885i | 0.387657 | − | 0.671442i | ||||
\(540\) | −12.0000 | − | 20.7846i | −0.516398 | − | 0.894427i | ||||
\(541\) | −4.34120 | + | 24.6202i | −0.186643 | + | 1.05850i | 0.737183 | + | 0.675693i | \(0.236155\pi\) |
−0.923826 | + | 0.382812i | \(0.874956\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.00000 | + | 3.46410i | 0.0858282 | + | 0.148659i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 36.7701 | + | 30.8538i | 1.57506 | + | 1.32163i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.3114 | + | 9.57656i | −1.12499 | + | 0.409464i | −0.836472 | − | 0.548009i | \(-0.815386\pi\) |
−0.288522 | + | 0.957473i | \(0.593164\pi\) | |||||||
\(548\) | 4.59627 | − | 3.85673i | 0.196343 | − | 0.164751i | ||||
\(549\) | −0.173648 | − | 0.984808i | −0.00741112 | − | 0.0420306i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.38919 | + | 7.87846i | 0.0590742 | + | 0.335026i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 11.2763 | − | 4.10424i | 0.478653 | − | 0.174215i | ||||
\(556\) | −24.4320 | − | 8.89252i | −1.03615 | − | 0.377127i | ||||
\(557\) | 16.0869 | + | 13.4985i | 0.681625 | + | 0.571951i | 0.916481 | − | 0.400079i | \(-0.131017\pi\) |
−0.234856 | + | 0.972030i | \(0.575462\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.00000 | + | 3.46410i | 0.0845910 | + | 0.146516i | ||||
\(560\) | −2.08378 | + | 11.8177i | −0.0880557 | + | 0.499389i | ||||
\(561\) | −3.12567 | + | 17.7265i | −0.131966 | + | 0.748415i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.00000 | − | 5.19615i | 0.126435 | − | 0.218992i | −0.795858 | − | 0.605483i | \(-0.792980\pi\) |
0.922293 | + | 0.386492i | \(0.126313\pi\) | |||||||
\(564\) | 9.19253 | + | 7.71345i | 0.387075 | + | 0.324795i | ||||
\(565\) | 16.9145 | + | 6.15636i | 0.711597 | + | 0.259000i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 8.42649 | − | 7.07066i | 0.353879 | − | 0.296940i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 24.0000 | 1.00613 | 0.503066 | − | 0.864248i | \(-0.332205\pi\) | ||||
0.503066 | + | 0.864248i | \(0.332205\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.00000 | −0.167395 | −0.0836974 | − | 0.996491i | \(-0.526673\pi\) | ||||
−0.0836974 | + | 0.996491i | \(0.526673\pi\) | |||||||
\(572\) | −4.16756 | − | 23.6354i | −0.174254 | − | 0.988245i | ||||
\(573\) | 4.59627 | − | 3.85673i | 0.192012 | − | 0.161117i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −6.12836 | − | 5.14230i | −0.255348 | − | 0.214263i | ||||
\(577\) | −5.50000 | + | 9.52628i | −0.228968 | + | 0.396584i | −0.957503 | − | 0.288425i | \(-0.906868\pi\) |
0.728535 | + | 0.685009i | \(0.240202\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.38919 | − | 7.87846i | 0.0577326 | − | 0.327418i | ||||
\(580\) | 6.25133 | − | 35.4531i | 0.259573 | − | 1.47211i | ||||
\(581\) | 6.00000 | + | 10.3923i | 0.248922 | + | 0.431145i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −27.5776 | − | 23.1404i | −1.14215 | − | 0.958376i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −11.2763 | + | 4.10424i | −0.466218 | + | 0.169690i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 7.81417 | + | 44.3163i | 0.322525 | + | 1.82913i | 0.526524 | + | 0.850160i | \(0.323495\pi\) |
−0.203999 | + | 0.978971i | \(0.565394\pi\) | |||||||
\(588\) | 24.0000 | 0.989743 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.25133 | + | 35.4531i | 0.257146 | + | 1.45834i | ||||
\(592\) | −6.12836 | + | 5.14230i | −0.251874 | + | 0.211347i | ||||
\(593\) | 39.4671 | − | 14.3648i | 1.62072 | − | 0.589894i | 0.637200 | − | 0.770698i | \(-0.280092\pi\) |
0.983519 | + | 0.180805i | \(0.0578702\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.89440 | + | 5.78509i | 0.282643 | + | 0.237166i | ||||
\(596\) | 21.0000 | − | 36.3731i | 0.860194 | − | 1.48990i | ||||
\(597\) | −11.0000 | − | 19.0526i | −0.450200 | − | 0.779769i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 6.25133 | − | 35.4531i | 0.255423 | − | 1.44857i | −0.539563 | − | 0.841945i | \(-0.681411\pi\) |
0.794986 | − | 0.606628i | \(-0.207478\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 13.0000 | − | 22.5167i | 0.530281 | − | 0.918474i | −0.469095 | − | 0.883148i | \(-0.655420\pi\) |
0.999376 | − | 0.0353259i | \(-0.0112469\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −3.75877 | − | 1.36808i | −0.153069 | − | 0.0557125i | ||||
\(604\) | 18.7939 | − | 6.84040i | 0.764711 | − | 0.278332i | ||||
\(605\) | −4.59627 | + | 3.85673i | −0.186865 | + | 0.156798i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −32.0000 | −1.29884 | −0.649420 | − | 0.760430i | \(-0.724988\pi\) | ||||
−0.649420 | + | 0.760430i | \(0.724988\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 12.0000 | 0.486265 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −9.19253 | + | 7.71345i | −0.371890 | + | 0.312053i | ||||
\(612\) | −5.63816 | + | 2.05212i | −0.227909 | + | 0.0829521i | ||||
\(613\) | −27.2511 | − | 9.91858i | −1.10066 | − | 0.400608i | −0.273101 | − | 0.961985i | \(-0.588049\pi\) |
−0.827560 | + | 0.561377i | \(0.810272\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −18.0000 | + | 31.1769i | −0.725830 | + | 1.25717i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.56283 | − | 8.86327i | 0.0629173 | − | 0.356822i | −0.937054 | − | 0.349186i | \(-0.886458\pi\) |
0.999971 | − | 0.00763607i | \(-0.00243066\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −22.0000 | − | 38.1051i | −0.884255 | − | 1.53157i | −0.846566 | − | 0.532284i | \(-0.821334\pi\) |
−0.0376891 | − | 0.999290i | \(-0.512000\pi\) | |||||||
\(620\) | 12.0000 | − | 20.7846i | 0.481932 | − | 0.834730i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −11.2763 | + | 4.10424i | −0.451776 | + | 0.164433i | ||||
\(624\) | 24.5134 | − | 20.5692i | 0.981322 | − | 0.823427i | ||||
\(625\) | −5.03580 | − | 28.5594i | −0.201432 | − | 1.14238i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −28.0000 | −1.11732 | ||||||||
\(629\) | 1.04189 | + | 5.90885i | 0.0415428 | + | 0.235601i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.3366 | + | 3.76222i | −0.411494 | + | 0.149772i | −0.539468 | − | 0.842006i | \(-0.681375\pi\) |
0.127974 | + | 0.991778i | \(0.459153\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −21.4492 | − | 17.9981i | −0.852531 | − | 0.715358i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3.00000 | + | 5.19615i | 0.119051 | + | 0.206203i | ||||
\(636\) | 8.33511 | − | 47.2708i | 0.330509 | − | 1.87441i | ||||
\(637\) | −4.16756 | + | 23.6354i | −0.165125 | + | 0.936468i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.00000 | − | 5.19615i | 0.118678 | − | 0.205557i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 0 | 0 | 0.342020 | − | 0.939693i | \(-0.388889\pi\) | ||||
−0.342020 | + | 0.939693i | \(0.611111\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.95858 | + | 8.35624i | −0.392728 | + | 0.329538i | −0.817675 | − | 0.575680i | \(-0.804737\pi\) |
0.424947 | + | 0.905218i | \(0.360293\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.00000 | −0.236250 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 27.0000 | 1.06148 | 0.530740 | − | 0.847535i | \(-0.321914\pi\) | ||||
0.530740 | + | 0.847535i | \(0.321914\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.7888 | − | 11.5702i | 0.541258 | − | 0.454169i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 7.51754 | + | 2.73616i | 0.294636 | + | 0.107239i | ||||
\(652\) | −30.6418 | − | 25.7115i | −1.20002 | − | 1.00694i | ||||
\(653\) | 19.5000 | − | 33.7750i | 0.763094 | − | 1.32172i | −0.178154 | − | 0.984003i | \(-0.557013\pi\) |
0.941248 | − | 0.337715i | \(-0.109654\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.81417 | + | 44.3163i | −0.305325 | + | 1.73158i | ||||
\(656\) | 4.16756 | − | 23.6354i | 0.162716 | − | 0.922807i | ||||
\(657\) | 3.50000 | + | 6.06218i | 0.136548 | + | 0.236508i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 22.9813 | + | 19.2836i | 0.895226 | + | 0.751184i | 0.969251 | − | 0.246073i | \(-0.0791402\pi\) |
−0.0740257 | + | 0.997256i | \(0.523585\pi\) | |||||||
\(660\) | 33.8289 | + | 12.3127i | 1.31679 | + | 0.479272i | ||||
\(661\) | 30.0702 | − | 10.9446i | 1.16959 | − | 0.425697i | 0.317078 | − | 0.948399i | \(-0.397298\pi\) |
0.852515 | + | 0.522702i | \(0.175076\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −4.16756 | − | 23.6354i | −0.161854 | − | 0.917922i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −27.5776 | + | 23.1404i | −1.06701 | + | 0.895327i | ||||
\(669\) | −18.7939 | + | 6.84040i | −0.726612 | + | 0.264465i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.29813 | − | 1.92836i | −0.0887185 | − | 0.0744436i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.00000 | − | 8.66025i | −0.192736 | − | 0.333828i | 0.753420 | − | 0.657539i | \(-0.228403\pi\) |
−0.946156 | + | 0.323711i | \(0.895069\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.77837 | + | 15.7569i | −0.106940 | + | 0.606484i | ||||
\(676\) | 3.00000 | + | 5.19615i | 0.115385 | + | 0.199852i | ||||
\(677\) | −21.0000 | + | 36.3731i | −0.807096 | + | 1.39793i | 0.107772 | + | 0.994176i | \(0.465628\pi\) |
−0.914867 | + | 0.403755i | \(0.867705\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −7.51754 | − | 2.73616i | −0.288497 | − | 0.105004i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −18.3851 | + | 15.4269i | −0.704517 | + | 0.591160i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −36.0000 | −1.37750 | −0.688751 | − | 0.724998i | \(-0.741841\pi\) | ||||
−0.688751 | + | 0.724998i | \(0.741841\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −9.00000 | −0.343872 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7.66044 | − | 6.42788i | 0.292264 | − | 0.245239i | ||||
\(688\) | 3.75877 | − | 1.36808i | 0.143302 | − | 0.0521576i | ||||
\(689\) | 45.1052 | + | 16.4170i | 1.71837 | + | 0.625437i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.50000 | + | 14.7224i | −0.323355 | + | 0.560068i | −0.981178 | − | 0.193105i | \(-0.938144\pi\) |
0.657823 | + | 0.753173i | \(0.271478\pi\) | |||||||
\(692\) | 18.0000 | + | 31.1769i | 0.684257 | + | 1.18517i | ||||
\(693\) | −0.520945 | + | 2.95442i | −0.0197890 | + | 0.112229i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 19.5000 | + | 33.7750i | 0.739677 | + | 1.28116i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −13.7888 | − | 11.5702i | −0.522288 | − | 0.438252i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 39.4671 | − | 14.3648i | 1.49278 | − | 0.543328i | ||||
\(700\) | 6.12836 | − | 5.14230i | 0.231630 | − | 0.194361i | ||||
\(701\) | 1.04189 | + | 5.90885i | 0.0393516 | + | 0.223174i | 0.998141 | − | 0.0609428i | \(-0.0194107\pi\) |
−0.958790 | + | 0.284117i | \(0.908300\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −24.0000 | −0.904534 | ||||||||
\(705\) | −3.12567 | − | 17.7265i | −0.117719 | − | 0.667620i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.63816 | − | 2.05212i | 0.212045 | − | 0.0771779i | ||||
\(708\) | 22.5526 | + | 8.20848i | 0.847579 | + | 0.308494i | ||||
\(709\) | 19.9172 | + | 16.7125i | 0.748004 | + | 0.627650i | 0.934974 | − | 0.354715i | \(-0.115422\pi\) |
−0.186970 | + | 0.982366i | \(0.559867\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.00000 | + | 6.92820i | 0.150012 | + | 0.259828i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −18.0000 | + | 31.1769i | −0.673162 | + | 1.16595i | ||||
\(716\) | −27.5776 | − | 23.1404i | −1.03062 | − | 0.864796i | ||||
\(717\) | −28.1908 | − | 10.2606i | −1.05280 | − | 0.383189i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 11.4907 | − | 9.64181i | 0.428530 | − | 0.359579i | −0.402867 | − | 0.915259i | \(-0.631986\pi\) |
0.831397 | + | 0.555680i | \(0.187542\pi\) | |||||||
\(720\) | 2.08378 | + | 11.8177i | 0.0776578 | + | 0.440419i | ||||
\(721\) | 14.0000 | 0.521387 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 20.0000 | 0.743808 | ||||||||
\(724\) | 0.694593 | + | 3.93923i | 0.0258143 | + | 0.146400i | ||||
\(725\) | −18.3851 | + | 15.4269i | −0.682804 | + | 0.572941i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.8542 | + | 6.49838i | 0.662174 | + | 0.241012i | 0.651175 | − | 0.758928i | \(-0.274276\pi\) |
0.0109994 | + | 0.999940i | \(0.496499\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −6.50000 | + | 11.2583i | −0.240741 | + | 0.416975i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.520945 | − | 2.95442i | 0.0192678 | − | 0.109273i | ||||
\(732\) | 0.694593 | − | 3.93923i | 0.0256729 | − | 0.145598i | ||||
\(733\) | 11.0000 | + | 19.0526i | 0.406294 | + | 0.703722i | 0.994471 | − | 0.105010i | \(-0.0334875\pi\) |
−0.588177 | + | 0.808732i | \(0.700154\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −27.5776 | − | 23.1404i | −1.01722 | − | 0.853545i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −11.2763 | + | 4.10424i | −0.415368 | + | 0.151182i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.91013 | + | 10.8329i | 0.0702653 | + | 0.398494i | 0.999574 | + | 0.0291901i | \(0.00929280\pi\) |
−0.929309 | + | 0.369304i | \(0.879596\pi\) | |||||||
\(740\) | 12.0000 | 0.441129 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 4.16756 | + | 23.6354i | 0.152893 | + | 0.867098i | 0.960687 | + | 0.277634i | \(0.0895501\pi\) |
−0.807794 | + | 0.589465i | \(0.799339\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −59.2006 | + | 21.5473i | −2.16894 | + | 0.789431i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 9.19253 | + | 7.71345i | 0.336337 | + | 0.282220i | ||||
\(748\) | −9.00000 | + | 15.5885i | −0.329073 | + | 0.569970i | ||||
\(749\) | 9.00000 | + | 15.5885i | 0.328853 | + | 0.569590i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −5.55674 | + | 31.5138i | −0.202768 | + | 1.14996i | 0.698145 | + | 0.715957i | \(0.254009\pi\) |
−0.900913 | + | 0.434000i | \(0.857102\pi\) | |||||||
\(752\) | 6.00000 | + | 10.3923i | 0.218797 | + | 0.378968i | ||||
\(753\) | −21.0000 | + | 36.3731i | −0.765283 | + | 1.32551i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −28.1908 | − | 10.2606i | −1.02597 | − | 0.373422i | ||||
\(756\) | 7.51754 | − | 2.73616i | 0.273410 | − | 0.0995132i | ||||
\(757\) | −19.1511 | + | 16.0697i | −0.696059 | + | 0.584063i | −0.920649 | − | 0.390390i | \(-0.872340\pi\) |
0.224590 | + | 0.974453i | \(0.427896\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 33.0000 | 1.19625 | 0.598125 | − | 0.801403i | \(-0.295913\pi\) | ||||
0.598125 | + | 0.801403i | \(0.295913\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.2567 | + | 10.2846i | −0.443723 | + | 0.372328i | ||||
\(764\) | 5.63816 | − | 2.05212i | 0.203981 | − | 0.0742431i | ||||
\(765\) | 8.45723 | + | 3.07818i | 0.305772 | + | 0.111292i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −12.0000 | + | 20.7846i | −0.433295 | + | 0.750489i | ||||
\(768\) | −16.0000 | − | 27.7128i | −0.577350 | − | 1.00000i | ||||
\(769\) | 3.99391 | − | 22.6506i | 0.144024 | − | 0.816801i | −0.824122 | − | 0.566413i | \(-0.808331\pi\) |
0.968146 | − | 0.250388i | \(-0.0805581\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.00000 | − | 6.92820i | 0.143963 | − | 0.249351i | ||||
\(773\) | 4.59627 | + | 3.85673i | 0.165316 | + | 0.138717i | 0.721693 | − | 0.692213i | \(-0.243364\pi\) |
−0.556377 | + | 0.830930i | \(0.687809\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −15.0351 | + | 5.47232i | −0.540076 | + | 0.196572i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0.694593 | + | 3.93923i | 0.0249184 | + | 0.141319i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −48.0000 | −1.71868 | ||||||||
\(781\) | −3.12567 | − | 17.7265i | −0.111845 | − | 0.634305i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −22.5526 | + | 8.20848i | −0.805965 | + | 0.293347i | ||||
\(784\) | 22.5526 | + | 8.20848i | 0.805451 | + | 0.293160i | ||||
\(785\) | 32.1739 | + | 26.9971i | 1.14833 | + | 0.963567i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.00000 | − | 3.46410i | −0.0712923 | − | 0.123482i | 0.828176 | − | 0.560469i | \(-0.189379\pi\) |
−0.899468 | + | 0.436987i | \(0.856046\pi\) | |||||||
\(788\) | −6.25133 | + | 35.4531i | −0.222695 | + | 1.26296i | ||||
\(789\) | 3.12567 | − | 17.7265i | 0.111277 | − | 0.631082i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.00000 | + | 5.19615i | −0.106668 | + | 0.184754i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.75877 | + | 1.36808i | 0.133478 | + | 0.0485820i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −55.1552 | + | 46.2807i | −1.95615 | + | 1.64141i | ||||
\(796\) | −3.82026 | − | 21.6658i | −0.135406 | − | 0.767923i | ||||
\(797\) | 12.0000 | 0.425062 | 0.212531 | − | 0.977154i | \(-0.431829\pi\) | ||||
0.212531 | + | 0.977154i | \(0.431829\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.00000 | 0.318397 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.19253 | + | 7.71345i | −0.324802 | + | 0.272541i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 19.7335 | + | 7.18242i | 0.696382 | + | 0.253462i | ||||
\(804\) | −12.2567 | − | 10.2846i | −0.432261 | − | 0.362710i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.33511 | + | 47.2708i | −0.293410 | + | 1.66401i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 4.50000 | + | 7.79423i | 0.158212 | + | 0.274030i | 0.934224 | − | 0.356687i | \(-0.116094\pi\) |
−0.776012 | + | 0.630718i | \(0.782761\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.2567 | + | 10.2846i | 0.430391 | + | 0.361141i | 0.832099 | − | 0.554627i | \(-0.187139\pi\) |
−0.401708 | + | 0.915768i | \(0.631583\pi\) | |||||||
\(812\) | 11.2763 | + | 4.10424i | 0.395721 | + | 0.144031i | ||||
\(813\) | 30.0702 | − | 10.9446i | 1.05461 | − | 0.383845i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 10.4189 | + | 59.0885i | 0.364958 | + | 2.06978i | ||||
\(816\) | −24.0000 | −0.840168 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.694593 | − | 3.93923i | −0.0242710 | − | 0.137648i | ||||
\(820\) | −27.5776 | + | 23.1404i | −0.963052 | + | 0.808096i | ||||
\(821\) | −31.0099 | + | 11.2867i | −1.08225 | + | 0.393907i | −0.820745 | − | 0.571294i | \(-0.806441\pi\) |
−0.261506 | + | 0.965202i | \(0.584219\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −37.5362 | − | 31.4966i | −1.30843 | − | 1.09790i | −0.988622 | − | 0.150419i | \(-0.951938\pi\) |
−0.319807 | − | 0.947483i | \(-0.603618\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12.0000 | − | 20.7846i | −0.417786 | − | 0.723627i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −2.08378 | + | 11.8177i | −0.0724601 | + | 0.410941i | 0.926904 | + | 0.375297i | \(0.122459\pi\) |
−0.999365 | + | 0.0356441i | \(0.988652\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.00000 | + | 13.8564i | −0.277851 | + | 0.481253i | −0.970851 | − | 0.239686i | \(-0.922956\pi\) |
0.692999 | + | 0.720938i | \(0.256289\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 35.7083 | + | 12.9968i | 1.23871 | + | 0.450853i | ||||
\(832\) | 30.0702 | − | 10.9446i | 1.04250 | − | 0.379437i | ||||
\(833\) | 13.7888 | − | 11.5702i | 0.477754 | − | 0.400883i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 54.0000 | 1.86875 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −16.0000 | −0.553041 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −13.7888 | + | 11.5702i | −0.476042 | + | 0.399447i | −0.848993 | − | 0.528404i | \(-0.822791\pi\) |
0.372951 | + | 0.927851i | \(0.378346\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −6.57785 | − | 2.39414i | −0.226822 | − | 0.0825566i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 6.00000 | − | 10.3923i | 0.206651 | − | 0.357930i | ||||
\(844\) | −14.0000 | − | 24.2487i | −0.481900 | − | 0.834675i | ||||
\(845\) | 1.56283 | − | 8.86327i | 0.0537631 | − | 0.304906i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1.00000 | − | 1.73205i | −0.0343604 | − | 0.0595140i | ||||
\(848\) | 24.0000 | − | 41.5692i | 0.824163 | − | 1.42749i | ||||
\(849\) | −19.9172 | − | 16.7125i | −0.683555 | − | 0.573571i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0 | 0 | ||||||||
\(852\) | 18.3851 | − | 15.4269i | 0.629862 | − | 0.528517i | ||||
\(853\) | 4.51485 | + | 25.6050i | 0.154586 | + | 0.876699i | 0.959164 | + | 0.282852i | \(0.0912804\pi\) |
−0.804578 | + | 0.593847i | \(0.797608\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −3.12567 | − | 17.7265i | −0.106771 | − | 0.605527i | −0.990498 | − | 0.137525i | \(-0.956085\pi\) |
0.883728 | − | 0.468002i | \(-0.155026\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 46.0449 | − | 16.7590i | 1.57103 | − | 0.571809i | 0.597803 | − | 0.801643i | \(-0.296040\pi\) |
0.973230 | + | 0.229834i | \(0.0738182\pi\) | |||||||
\(860\) | −5.63816 | − | 2.05212i | −0.192260 | − | 0.0699767i | ||||
\(861\) | −9.19253 | − | 7.71345i | −0.313281 | − | 0.262874i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 9.00000 | + | 15.5885i | 0.306364 | + | 0.530637i | 0.977564 | − | 0.210639i | \(-0.0675543\pi\) |
−0.671200 | + | 0.741276i | \(0.734221\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.37700 | − | 53.1796i | 0.318828 | − | 1.80816i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.00000 | − | 13.8564i | 0.271694 | − | 0.470588i | ||||
\(868\) | 6.12836 | + | 5.14230i | 0.208010 | + | 0.174541i | ||||
\(869\) | 22.5526 | + | 8.20848i | 0.765045 | + | 0.278454i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.2567 | − | 10.2846i | 0.415303 | − | 0.348480i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.00000 | −0.270759 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 3.00000 | 0.101419 | ||||||||
\(876\) | 4.86215 | + | 27.5746i | 0.164277 | + | 0.931660i | ||||
\(877\) | 16.8530 | − | 14.1413i | 0.569085 | − | 0.477519i | −0.312257 | − | 0.949998i | \(-0.601085\pi\) |
0.881342 | + | 0.472479i | \(0.156641\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −22.5526 | − | 8.20848i | −0.760681 | − | 0.276865i | ||||
\(880\) | 27.5776 | + | 23.1404i | 0.929641 | + | 0.780061i | ||||
\(881\) | 13.5000 | − | 23.3827i | 0.454827 | − | 0.787783i | −0.543852 | − | 0.839181i | \(-0.683035\pi\) |
0.998678 | + | 0.0513987i | \(0.0163679\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8.16146 | − | 46.2860i | 0.274655 | − | 1.55765i | −0.465400 | − | 0.885100i | \(-0.654090\pi\) |
0.740055 | − | 0.672546i | \(-0.234799\pi\) | |||||||
\(884\) | 4.16756 | − | 23.6354i | 0.140170 | − | 0.794944i | ||||
\(885\) | −18.0000 | − | 31.1769i | −0.605063 | − | 1.04800i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −13.7888 | − | 11.5702i | −0.462983 | − | 0.388489i | 0.381244 | − | 0.924474i | \(-0.375496\pi\) |
−0.844227 | + | 0.535986i | \(0.819940\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.87939 | + | 0.684040i | −0.0630326 | + | 0.0229420i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −5.73039 | − | 32.4987i | −0.191975 | − | 1.08875i | ||||
\(892\) | −20.0000 | −0.669650 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.37700 | + | 53.1796i | 0.313439 | + | 1.77760i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −18.3851 | − | 15.4269i | −0.613176 | − | 0.514516i | ||||
\(900\) | 4.00000 | − | 6.92820i | 0.133333 | − | 0.230940i | ||||
\(901\) | −18.0000 | − | 31.1769i | −0.599667 | − | 1.03865i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.347296 | − | 1.96962i | 0.0115573 | − | 0.0655447i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 3.00000 | − | 5.19615i | 0.0997234 | − | 0.172726i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.51754 | + | 2.73616i | 0.249616 | + | 0.0908527i | 0.463798 | − | 0.885941i | \(-0.346486\pi\) |
−0.214182 | + | 0.976794i | \(0.568709\pi\) | |||||||
\(908\) | −22.5526 | + | 8.20848i | −0.748435 | + | 0.272408i | ||||
\(909\) | 4.59627 | − | 3.85673i | 0.152449 | − | 0.127920i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 6.00000 | 0.198789 | 0.0993944 | − | 0.995048i | \(-0.468309\pi\) | ||||
0.0993944 | + | 0.995048i | \(0.468309\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 36.0000 | 1.19143 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −4.59627 | + | 3.85673i | −0.151948 | + | 0.127499i | ||||
\(916\) | 9.39693 | − | 3.42020i | 0.310483 | − | 0.113007i | ||||
\(917\) | −14.0954 | − | 5.13030i | −0.465471 | − | 0.169418i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.0000 | + | 17.3205i | −0.329870 | + | 0.571351i | −0.982486 | − | 0.186338i | \(-0.940338\pi\) |
0.652616 | + | 0.757689i | \(0.273671\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.94593 | + | 39.3923i | −0.228876 | + | 1.29802i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 12.0000 | + | 20.7846i | 0.394985 | + | 0.684134i | ||||
\(924\) | −6.00000 | + | 10.3923i | −0.197386 | + | 0.341882i | ||||
\(925\) | −6.12836 | − | 5.14230i | −0.201499 | − | 0.169078i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 13.1557 | − | 4.78828i | 0.432090 | − | 0.157268i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −3.12567 | − | 17.7265i | −0.102550 | − | 0.581589i | −0.992171 | − | 0.124889i | \(-0.960142\pi\) |
0.889621 | − | 0.456700i | \(-0.150969\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 42.0000 | 1.37576 | ||||||||
\(933\) | −1.04189 | − | 5.90885i | −0.0341099 | − | 0.193447i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 25.3717 | − | 9.23454i | 0.829743 | − | 0.302002i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −5.36231 | − | 4.49951i | −0.175179 | − | 0.146993i | 0.550982 | − | 0.834517i | \(-0.314253\pi\) |
−0.726162 | + | 0.687524i | \(0.758698\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.0000 | + | 17.3205i | 0.326338 | + | 0.565233i | ||||
\(940\) | 3.12567 | − | 17.7265i | 0.101948 | − | 0.578176i | ||||
\(941\) | 3.12567 | − | 17.7265i | 0.101894 | − | 0.577869i | −0.890522 | − | 0.454941i | \(-0.849660\pi\) |
0.992416 | − | 0.122928i | \(-0.0392284\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0 | 0 | ||||||||
\(944\) | 18.3851 | + | 15.4269i | 0.598383 | + | 0.502103i | ||||
\(945\) | −11.2763 | − | 4.10424i | −0.366818 | − | 0.133511i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −27.5776 | + | 23.1404i | −0.896152 | + | 0.751960i | −0.969434 | − | 0.245351i | \(-0.921097\pi\) |
0.0732828 | + | 0.997311i | \(0.476652\pi\) | |||||||
\(948\) | 5.55674 | + | 31.5138i | 0.180475 | + | 1.02352i | ||||
\(949\) | −28.0000 | −0.908918 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −12.0000 | −0.389127 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 36.7701 | − | 30.8538i | 1.19110 | − | 0.999453i | 0.191262 | − | 0.981539i | \(-0.438742\pi\) |
0.999840 | − | 0.0179138i | \(-0.00570243\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.45723 | − | 3.07818i | −0.273670 | − | 0.0996076i | ||||
\(956\) | −22.9813 | − | 19.2836i | −0.743269 | − | 0.623677i | ||||
\(957\) | 18.0000 | − | 31.1769i | 0.581857 | − | 1.00781i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0.520945 | − | 2.95442i | 0.0168222 | − | 0.0954033i | ||||
\(960\) | −8.33511 | + | 47.2708i | −0.269015 | + | 1.52566i | ||||
\(961\) | 7.50000 | + | 12.9904i | 0.241935 | + | 0.419045i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 13.7888 | + | 11.5702i | 0.444338 | + | 0.372844i | ||||
\(964\) | 18.7939 | + | 6.84040i | 0.605309 | + | 0.220315i | ||||
\(965\) | −11.2763 | + | 4.10424i | −0.362997 | + | 0.132120i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −6.94593 | − | 39.3923i | −0.223366 | − | 1.26677i | −0.865784 | − | 0.500417i | \(-0.833180\pi\) |
0.642418 | − | 0.766354i | \(-0.277931\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −10.4189 | − | 59.0885i | −0.334358 | − | 1.89624i | −0.433479 | − | 0.901164i | \(-0.642714\pi\) |
0.0991209 | − | 0.995075i | \(-0.468397\pi\) | |||||||
\(972\) | 15.3209 | − | 12.8558i | 0.491418 | − | 0.412348i | ||||
\(973\) | −12.2160 | + | 4.44626i | −0.391627 | + | 0.142541i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 24.5134 | + | 20.5692i | 0.785058 | + | 0.658742i | ||||
\(976\) | 2.00000 | − | 3.46410i | 0.0640184 | − | 0.110883i | ||||
\(977\) | 12.0000 | + | 20.7846i | 0.383914 | + | 0.664959i | 0.991618 | − | 0.129205i | \(-0.0412426\pi\) |
−0.607704 | + | 0.794164i | \(0.707909\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.25133 | + | 35.4531i | −0.199794 | + | 1.13309i | ||||
\(980\) | −18.0000 | − | 31.1769i | −0.574989 | − | 0.995910i | ||||
\(981\) | −8.00000 | + | 13.8564i | −0.255420 | + | 0.442401i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −33.8289 | − | 12.3127i | −1.07898 | − | 0.392715i | −0.259449 | − | 0.965757i | \(-0.583541\pi\) |
−0.819526 | + | 0.573042i | \(0.805763\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 41.3664 | − | 34.7105i | 1.31804 | − | 1.10597i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.00000 | 0.190982 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0 | 0 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 26.0455 | − | 21.8548i | 0.827363 | − | 0.694240i | −0.127321 | − | 0.991862i | \(-0.540638\pi\) |
0.954684 | + | 0.297622i | \(0.0961934\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −52.6228 | − | 19.1531i | −1.66993 | − | 0.607806i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −16.5000 | + | 28.5788i | −0.523085 | + | 0.906010i | ||||
\(996\) | 24.0000 | + | 41.5692i | 0.760469 | + | 1.31717i | ||||
\(997\) | 2.95202 | − | 16.7417i | 0.0934914 | − | 0.530216i | −0.901708 | − | 0.432346i | \(-0.857686\pi\) |
0.995199 | − | 0.0978700i | \(-0.0312029\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.00000 | − | 6.92820i | −0.126554 | − | 0.219199i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))