Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.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: | \(5.76519902594\) |
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: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 415.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.415 |
Dual form | 722.2.e.e.595.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | 0.939693 | − | 0.342020i | 0.542532 | − | 0.197465i | −0.0561935 | − | 0.998420i | \(-0.517896\pi\) |
0.598725 | + | 0.800954i | \(0.295674\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0 | 0 | −0.984808 | − | 0.173648i | \(-0.944444\pi\) | ||||
0.984808 | + | 0.173648i | \(0.0555556\pi\) | |||||||
\(6\) | 0.939693 | + | 0.342020i | 0.383628 | + | 0.139629i | ||||
\(7\) | 0.500000 | + | 0.866025i | 0.188982 | + | 0.327327i | 0.944911 | − | 0.327327i | \(-0.106148\pi\) |
−0.755929 | + | 0.654654i | \(0.772814\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −1.53209 | + | 1.28558i | −0.510696 | + | 0.428525i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.00000 | − | 5.19615i | 0.904534 | − | 1.56670i | 0.0829925 | − | 0.996550i | \(-0.473552\pi\) |
0.821541 | − | 0.570149i | \(-0.193114\pi\) | |||||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | 4.69846 | + | 1.71010i | 1.30312 | + | 0.474297i | 0.898011 | − | 0.439972i | \(-0.145012\pi\) |
0.405108 | + | 0.914269i | \(0.367234\pi\) | |||||||
\(14\) | −0.173648 | + | 0.984808i | −0.0464094 | + | 0.263201i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 2.29813 | + | 1.92836i | 0.557379 | + | 0.467697i | 0.877431 | − | 0.479703i | \(-0.159256\pi\) |
−0.320051 | + | 0.947400i | \(0.603700\pi\) | |||||||
\(18\) | −2.00000 | −0.471405 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.766044 | + | 0.642788i | 0.167165 | + | 0.140268i | ||||
\(22\) | 5.63816 | − | 2.05212i | 1.20206 | − | 0.437514i | ||||
\(23\) | 0.520945 | + | 2.95442i | 0.108624 | + | 0.616040i | 0.989711 | + | 0.143084i | \(0.0457019\pi\) |
−0.881086 | + | 0.472956i | \(0.843187\pi\) | |||||||
\(24\) | −0.173648 | + | 0.984808i | −0.0354458 | + | 0.201023i | ||||
\(25\) | 4.69846 | + | 1.71010i | 0.939693 | + | 0.342020i | ||||
\(26\) | 2.50000 | + | 4.33013i | 0.490290 | + | 0.849208i | ||||
\(27\) | −2.50000 | + | 4.33013i | −0.481125 | + | 0.833333i | ||||
\(28\) | −0.766044 | + | 0.642788i | −0.144769 | + | 0.121475i | ||||
\(29\) | −6.89440 | + | 5.78509i | −1.28026 | + | 1.07426i | −0.287049 | + | 0.957916i | \(0.592674\pi\) |
−0.993208 | + | 0.116348i | \(0.962881\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.00000 | − | 3.46410i | −0.359211 | − | 0.622171i | 0.628619 | − | 0.777714i | \(-0.283621\pi\) |
−0.987829 | + | 0.155543i | \(0.950287\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 1.04189 | − | 5.90885i | 0.181370 | − | 1.02860i | ||||
\(34\) | 0.520945 | + | 2.95442i | 0.0893413 | + | 0.506679i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.53209 | − | 1.28558i | −0.255348 | − | 0.214263i | ||||
\(37\) | −2.00000 | −0.328798 | −0.164399 | − | 0.986394i | \(-0.552568\pi\) | ||||
−0.164399 | + | 0.986394i | \(0.552568\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.00000 | 0.800641 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(42\) | 0.173648 | + | 0.984808i | 0.0267945 | + | 0.151959i | ||||
\(43\) | 1.38919 | − | 7.87846i | 0.211849 | − | 1.20145i | −0.674443 | − | 0.738327i | \(-0.735616\pi\) |
0.886292 | − | 0.463127i | \(-0.153273\pi\) | |||||||
\(44\) | 5.63816 | + | 2.05212i | 0.849984 | + | 0.309369i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.50000 | + | 2.59808i | −0.221163 | + | 0.383065i | ||||
\(47\) | 0 | 0 | −0.642788 | − | 0.766044i | \(-0.722222\pi\) | ||||
0.642788 | + | 0.766044i | \(0.277778\pi\) | |||||||
\(48\) | −0.766044 | + | 0.642788i | −0.110569 | + | 0.0927784i | ||||
\(49\) | 3.00000 | − | 5.19615i | 0.428571 | − | 0.742307i | ||||
\(50\) | 2.50000 | + | 4.33013i | 0.353553 | + | 0.612372i | ||||
\(51\) | 2.81908 | + | 1.02606i | 0.394750 | + | 0.143677i | ||||
\(52\) | −0.868241 | + | 4.92404i | −0.120403 | + | 0.682841i | ||||
\(53\) | 0.520945 | + | 2.95442i | 0.0715572 | + | 0.405821i | 0.999456 | + | 0.0329883i | \(0.0105024\pi\) |
−0.927899 | + | 0.372833i | \(0.878386\pi\) | |||||||
\(54\) | −4.69846 | + | 1.71010i | −0.639380 | + | 0.232715i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.00000 | −0.133631 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.00000 | −1.18176 | ||||||||
\(59\) | −6.89440 | − | 5.78509i | −0.897574 | − | 0.753154i | 0.0721404 | − | 0.997394i | \(-0.477017\pi\) |
−0.969715 | + | 0.244240i | \(0.921461\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.73648 | − | 9.84808i | −0.222334 | − | 1.26092i | −0.867717 | − | 0.497058i | \(-0.834413\pi\) |
0.645383 | − | 0.763859i | \(-0.276698\pi\) | |||||||
\(62\) | 0.694593 | − | 3.93923i | 0.0882134 | − | 0.500283i | ||||
\(63\) | −1.87939 | − | 0.684040i | −0.236780 | − | 0.0861810i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.59627 | − | 3.85673i | 0.565761 | − | 0.474730i | ||||
\(67\) | −3.83022 | + | 3.21394i | −0.467936 | + | 0.392645i | −0.846041 | − | 0.533118i | \(-0.821020\pi\) |
0.378105 | + | 0.925763i | \(0.376576\pi\) | |||||||
\(68\) | −1.50000 | + | 2.59808i | −0.181902 | + | 0.315063i | ||||
\(69\) | 1.50000 | + | 2.59808i | 0.180579 | + | 0.312772i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.04189 | − | 5.90885i | 0.123649 | − | 0.701251i | −0.858451 | − | 0.512895i | \(-0.828573\pi\) |
0.982101 | − | 0.188356i | \(-0.0603159\pi\) | |||||||
\(72\) | −0.347296 | − | 1.96962i | −0.0409293 | − | 0.232121i | ||||
\(73\) | 6.57785 | − | 2.39414i | 0.769879 | − | 0.280213i | 0.0729331 | − | 0.997337i | \(-0.476764\pi\) |
0.696946 | + | 0.717124i | \(0.254542\pi\) | |||||||
\(74\) | −1.53209 | − | 1.28558i | −0.178102 | − | 0.149445i | ||||
\(75\) | 5.00000 | 0.577350 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.00000 | 0.683763 | ||||||||
\(78\) | 3.83022 | + | 3.21394i | 0.433687 | + | 0.363907i | ||||
\(79\) | −9.39693 | + | 3.42020i | −1.05724 | + | 0.384803i | −0.811389 | − | 0.584506i | \(-0.801288\pi\) |
−0.245847 | + | 0.969309i | \(0.579066\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.00000 | + | 5.19615i | 0.329293 | + | 0.570352i | 0.982372 | − | 0.186938i | \(-0.0598564\pi\) |
−0.653079 | + | 0.757290i | \(0.726523\pi\) | |||||||
\(84\) | −0.500000 | + | 0.866025i | −0.0545545 | + | 0.0944911i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 6.12836 | − | 5.14230i | 0.660838 | − | 0.554509i | ||||
\(87\) | −4.50000 | + | 7.79423i | −0.482451 | + | 0.835629i | ||||
\(88\) | 3.00000 | + | 5.19615i | 0.319801 | + | 0.553912i | ||||
\(89\) | −11.2763 | − | 4.10424i | −1.19529 | − | 0.435049i | −0.333710 | − | 0.942676i | \(-0.608301\pi\) |
−0.861577 | + | 0.507627i | \(0.830523\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.868241 | + | 4.92404i | 0.0910164 | + | 0.516180i | ||||
\(92\) | −2.81908 | + | 1.02606i | −0.293909 | + | 0.106974i | ||||
\(93\) | −3.06418 | − | 2.57115i | −0.317740 | − | 0.266616i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | 7.66044 | + | 6.42788i | 0.777800 | + | 0.652652i | 0.942694 | − | 0.333659i | \(-0.108284\pi\) |
−0.164893 | + | 0.986311i | \(0.552728\pi\) | |||||||
\(98\) | 5.63816 | − | 2.05212i | 0.569540 | − | 0.207296i | ||||
\(99\) | 2.08378 | + | 11.8177i | 0.209428 | + | 1.18772i | ||||
\(100\) | −0.868241 | + | 4.92404i | −0.0868241 | + | 0.492404i | ||||
\(101\) | −16.9145 | − | 6.15636i | −1.68305 | − | 0.612581i | −0.689329 | − | 0.724448i | \(-0.742095\pi\) |
−0.993723 | + | 0.111867i | \(0.964317\pi\) | |||||||
\(102\) | 1.50000 | + | 2.59808i | 0.148522 | + | 0.257248i | ||||
\(103\) | 7.00000 | − | 12.1244i | 0.689730 | − | 1.19465i | −0.282194 | − | 0.959357i | \(-0.591062\pi\) |
0.971925 | − | 0.235291i | \(-0.0756043\pi\) | |||||||
\(104\) | −3.83022 | + | 3.21394i | −0.375584 | + | 0.315153i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.50000 | + | 2.59808i | −0.145693 | + | 0.252347i | ||||
\(107\) | −4.50000 | − | 7.79423i | −0.435031 | − | 0.753497i | 0.562267 | − | 0.826956i | \(-0.309929\pi\) |
−0.997298 | + | 0.0734594i | \(0.976596\pi\) | |||||||
\(108\) | −4.69846 | − | 1.71010i | −0.452110 | − | 0.164555i | ||||
\(109\) | −1.91013 | + | 10.8329i | −0.182957 | + | 1.03760i | 0.745595 | + | 0.666400i | \(0.232166\pi\) |
−0.928552 | + | 0.371203i | \(0.878946\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.87939 | + | 0.684040i | −0.178383 | + | 0.0649262i | ||||
\(112\) | −0.766044 | − | 0.642788i | −0.0723844 | − | 0.0607377i | ||||
\(113\) | −6.00000 | −0.564433 | −0.282216 | − | 0.959351i | \(-0.591070\pi\) | ||||
−0.282216 | + | 0.959351i | \(0.591070\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −6.89440 | − | 5.78509i | −0.640129 | − | 0.537132i | ||||
\(117\) | −9.39693 | + | 3.42020i | −0.868746 | + | 0.316198i | ||||
\(118\) | −1.56283 | − | 8.86327i | −0.143870 | − | 0.815930i | ||||
\(119\) | −0.520945 | + | 2.95442i | −0.0477549 | + | 0.270832i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.5000 | − | 21.6506i | −1.13636 | − | 1.96824i | ||||
\(122\) | 5.00000 | − | 8.66025i | 0.452679 | − | 0.784063i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.06418 | − | 2.57115i | 0.275171 | − | 0.230896i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −1.00000 | − | 1.73205i | −0.0890871 | − | 0.154303i | ||||
\(127\) | 1.87939 | + | 0.684040i | 0.166768 | + | 0.0606988i | 0.424055 | − | 0.905636i | \(-0.360606\pi\) |
−0.257287 | + | 0.966335i | \(0.582828\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −1.38919 | − | 7.87846i | −0.122311 | − | 0.693660i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0 | 0 | 0.642788 | − | 0.766044i | \(-0.277778\pi\) | ||||
−0.642788 | + | 0.766044i | \(0.722222\pi\) | |||||||
\(132\) | 6.00000 | 0.522233 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −5.00000 | −0.431934 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.81908 | + | 1.02606i | −0.241734 | + | 0.0879840i | ||||
\(137\) | −1.56283 | − | 8.86327i | −0.133522 | − | 0.757240i | −0.975878 | − | 0.218318i | \(-0.929943\pi\) |
0.842356 | − | 0.538922i | \(-0.181168\pi\) | |||||||
\(138\) | −0.520945 | + | 2.95442i | −0.0443457 | + | 0.251497i | ||||
\(139\) | 3.75877 | + | 1.36808i | 0.318815 | + | 0.116039i | 0.496470 | − | 0.868054i | \(-0.334629\pi\) |
−0.177656 | + | 0.984093i | \(0.556851\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 4.59627 | − | 3.85673i | 0.385710 | − | 0.323649i | ||||
\(143\) | 22.9813 | − | 19.2836i | 1.92180 | − | 1.61258i | ||||
\(144\) | 1.00000 | − | 1.73205i | 0.0833333 | − | 0.144338i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 6.57785 | + | 2.39414i | 0.544387 | + | 0.198141i | ||||
\(147\) | 1.04189 | − | 5.90885i | 0.0859336 | − | 0.487353i | ||||
\(148\) | −0.347296 | − | 1.96962i | −0.0285476 | − | 0.161901i | ||||
\(149\) | 0 | 0 | −0.342020 | − | 0.939693i | \(-0.611111\pi\) | ||||
0.342020 | + | 0.939693i | \(0.388889\pi\) | |||||||
\(150\) | 3.83022 | + | 3.21394i | 0.312736 | + | 0.262417i | ||||
\(151\) | 10.0000 | 0.813788 | 0.406894 | − | 0.913475i | \(-0.366612\pi\) | ||||
0.406894 | + | 0.913475i | \(0.366612\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.00000 | −0.485071 | ||||||||
\(154\) | 4.59627 | + | 3.85673i | 0.370378 | + | 0.310784i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.868241 | + | 4.92404i | 0.0695149 | + | 0.394239i | ||||
\(157\) | −3.82026 | + | 21.6658i | −0.304890 | + | 1.72912i | 0.319132 | + | 0.947710i | \(0.396609\pi\) |
−0.624022 | + | 0.781407i | \(0.714503\pi\) | |||||||
\(158\) | −9.39693 | − | 3.42020i | −0.747579 | − | 0.272097i | ||||
\(159\) | 1.50000 | + | 2.59808i | 0.118958 | + | 0.206041i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.29813 | + | 1.92836i | −0.181118 | + | 0.151976i | ||||
\(162\) | 0.766044 | − | 0.642788i | 0.0601861 | − | 0.0505022i | ||||
\(163\) | −10.0000 | + | 17.3205i | −0.783260 | + | 1.35665i | 0.146772 | + | 0.989170i | \(0.453112\pi\) |
−0.930033 | + | 0.367477i | \(0.880222\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.04189 | + | 5.90885i | −0.0808663 | + | 0.458615i | ||||
\(167\) | −2.08378 | − | 11.8177i | −0.161248 | − | 0.914481i | −0.952849 | − | 0.303443i | \(-0.901864\pi\) |
0.791602 | − | 0.611037i | \(-0.209247\pi\) | |||||||
\(168\) | −0.939693 | + | 0.342020i | −0.0724989 | + | 0.0263874i | ||||
\(169\) | 9.19253 | + | 7.71345i | 0.707118 | + | 0.593342i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.00000 | 0.609994 | ||||||||
\(173\) | −4.59627 | − | 3.85673i | −0.349448 | − | 0.293221i | 0.451121 | − | 0.892463i | \(-0.351024\pi\) |
−0.800568 | + | 0.599242i | \(0.795469\pi\) | |||||||
\(174\) | −8.45723 | + | 3.07818i | −0.641141 | + | 0.233356i | ||||
\(175\) | 0.868241 | + | 4.92404i | 0.0656328 | + | 0.372222i | ||||
\(176\) | −1.04189 | + | 5.90885i | −0.0785353 | + | 0.445396i | ||||
\(177\) | −8.45723 | − | 3.07818i | −0.635685 | − | 0.231370i | ||||
\(178\) | −6.00000 | − | 10.3923i | −0.449719 | − | 0.778936i | ||||
\(179\) | 0 | 0 | −0.866025 | − | 0.500000i | \(-0.833333\pi\) | ||||
0.866025 | + | 0.500000i | \(0.166667\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.53209 | + | 1.28558i | −0.113879 | + | 0.0955561i | −0.697949 | − | 0.716147i | \(-0.745904\pi\) |
0.584070 | + | 0.811703i | \(0.301459\pi\) | |||||||
\(182\) | −2.50000 | + | 4.33013i | −0.185312 | + | 0.320970i | ||||
\(183\) | −5.00000 | − | 8.66025i | −0.369611 | − | 0.640184i | ||||
\(184\) | −2.81908 | − | 1.02606i | −0.207825 | − | 0.0756422i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.694593 | − | 3.93923i | −0.0509300 | − | 0.288838i | ||||
\(187\) | 16.9145 | − | 6.15636i | 1.23691 | − | 0.450198i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −5.00000 | −0.363696 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.00000 | 0.217072 | 0.108536 | − | 0.994092i | \(-0.465384\pi\) | ||||
0.108536 | + | 0.994092i | \(0.465384\pi\) | |||||||
\(192\) | −0.766044 | − | 0.642788i | −0.0552845 | − | 0.0463892i | ||||
\(193\) | 13.1557 | − | 4.78828i | 0.946968 | − | 0.344668i | 0.178054 | − | 0.984021i | \(-0.443020\pi\) |
0.768914 | + | 0.639353i | \(0.220798\pi\) | |||||||
\(194\) | 1.73648 | + | 9.84808i | 0.124672 | + | 0.707051i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.63816 | + | 2.05212i | 0.402725 | + | 0.146580i | ||||
\(197\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(198\) | −6.00000 | + | 10.3923i | −0.426401 | + | 0.738549i | ||||
\(199\) | 8.42649 | − | 7.07066i | 0.597338 | − | 0.501226i | −0.293251 | − | 0.956036i | \(-0.594737\pi\) |
0.890589 | + | 0.454809i | \(0.150293\pi\) | |||||||
\(200\) | −3.83022 | + | 3.21394i | −0.270838 | + | 0.227260i | ||||
\(201\) | −2.50000 | + | 4.33013i | −0.176336 | + | 0.305424i | ||||
\(202\) | −9.00000 | − | 15.5885i | −0.633238 | − | 1.09680i | ||||
\(203\) | −8.45723 | − | 3.07818i | −0.593581 | − | 0.216046i | ||||
\(204\) | −0.520945 | + | 2.95442i | −0.0364734 | + | 0.206851i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 13.1557 | − | 4.78828i | 0.916601 | − | 0.333615i | ||||
\(207\) | −4.59627 | − | 3.85673i | −0.319463 | − | 0.268061i | ||||
\(208\) | −5.00000 | −0.346688 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.83022 | − | 3.21394i | −0.263683 | − | 0.221257i | 0.501354 | − | 0.865242i | \(-0.332835\pi\) |
−0.765038 | + | 0.643985i | \(0.777280\pi\) | |||||||
\(212\) | −2.81908 | + | 1.02606i | −0.193615 | + | 0.0704701i | ||||
\(213\) | −1.04189 | − | 5.90885i | −0.0713891 | − | 0.404867i | ||||
\(214\) | 1.56283 | − | 8.86327i | 0.106833 | − | 0.605881i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −2.50000 | − | 4.33013i | −0.170103 | − | 0.294628i | ||||
\(217\) | 2.00000 | − | 3.46410i | 0.135769 | − | 0.235159i | ||||
\(218\) | −8.42649 | + | 7.07066i | −0.570714 | + | 0.478886i | ||||
\(219\) | 5.36231 | − | 4.49951i | 0.362351 | − | 0.304049i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.50000 | + | 12.9904i | 0.504505 | + | 0.873828i | ||||
\(222\) | −1.87939 | − | 0.684040i | −0.126136 | − | 0.0459098i | ||||
\(223\) | −4.51485 | + | 25.6050i | −0.302337 | + | 1.71464i | 0.333445 | + | 0.942769i | \(0.391789\pi\) |
−0.635782 | + | 0.771868i | \(0.719322\pi\) | |||||||
\(224\) | −0.173648 | − | 0.984808i | −0.0116024 | − | 0.0658002i | ||||
\(225\) | −9.39693 | + | 3.42020i | −0.626462 | + | 0.228013i | ||||
\(226\) | −4.59627 | − | 3.85673i | −0.305739 | − | 0.256546i | ||||
\(227\) | 15.0000 | 0.995585 | 0.497792 | − | 0.867296i | \(-0.334144\pi\) | ||||
0.497792 | + | 0.867296i | \(0.334144\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.0000 | −1.45380 | −0.726900 | − | 0.686743i | \(-0.759040\pi\) | ||||
−0.726900 | + | 0.686743i | \(0.759040\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.63816 | − | 2.05212i | 0.370963 | − | 0.135020i | ||||
\(232\) | −1.56283 | − | 8.86327i | −0.102605 | − | 0.581902i | ||||
\(233\) | −1.04189 | + | 5.90885i | −0.0682564 | + | 0.387101i | 0.931472 | + | 0.363812i | \(0.118525\pi\) |
−0.999729 | + | 0.0232893i | \(0.992586\pi\) | |||||||
\(234\) | −9.39693 | − | 3.42020i | −0.614296 | − | 0.223586i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 4.50000 | − | 7.79423i | 0.292925 | − | 0.507361i | ||||
\(237\) | −7.66044 | + | 6.42788i | −0.497599 | + | 0.417535i | ||||
\(238\) | −2.29813 | + | 1.92836i | −0.148966 | + | 0.124997i | ||||
\(239\) | 10.5000 | − | 18.1865i | 0.679189 | − | 1.17639i | −0.296037 | − | 0.955176i | \(-0.595665\pi\) |
0.975226 | − | 0.221213i | \(-0.0710015\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.51754 | + | 2.73616i | 0.484247 | + | 0.176252i | 0.572596 | − | 0.819838i | \(-0.305937\pi\) |
−0.0883481 | + | 0.996090i | \(0.528159\pi\) | |||||||
\(242\) | 4.34120 | − | 24.6202i | 0.279063 | − | 1.58265i | ||||
\(243\) | −2.77837 | − | 15.7569i | −0.178233 | − | 1.01081i | ||||
\(244\) | 9.39693 | − | 3.42020i | 0.601577 | − | 0.218956i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 4.00000 | 0.254000 | ||||||||
\(249\) | 4.59627 | + | 3.85673i | 0.291277 | + | 0.244410i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.04189 | + | 5.90885i | 0.0657635 | + | 0.372963i | 0.999872 | + | 0.0159750i | \(0.00508522\pi\) |
−0.934109 | + | 0.356988i | \(0.883804\pi\) | |||||||
\(252\) | 0.347296 | − | 1.96962i | 0.0218776 | − | 0.124074i | ||||
\(253\) | 16.9145 | + | 6.15636i | 1.06340 | + | 0.387047i | ||||
\(254\) | 1.00000 | + | 1.73205i | 0.0627456 | + | 0.108679i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −9.19253 | + | 7.71345i | −0.573414 | + | 0.481152i | −0.882777 | − | 0.469792i | \(-0.844329\pi\) |
0.309362 | + | 0.950944i | \(0.399884\pi\) | |||||||
\(258\) | 4.00000 | − | 6.92820i | 0.249029 | − | 0.431331i | ||||
\(259\) | −1.00000 | − | 1.73205i | −0.0621370 | − | 0.107624i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.12567 | − | 17.7265i | 0.193474 | − | 1.09725i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −22.5526 | + | 8.20848i | −1.39065 | + | 0.506157i | −0.925390 | − | 0.379015i | \(-0.876263\pi\) |
−0.465264 | + | 0.885172i | \(0.654041\pi\) | |||||||
\(264\) | 4.59627 | + | 3.85673i | 0.282881 | + | 0.237365i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −12.0000 | −0.734388 | ||||||||
\(268\) | −3.83022 | − | 3.21394i | −0.233968 | − | 0.196323i | ||||
\(269\) | −5.63816 | + | 2.05212i | −0.343764 | + | 0.125120i | −0.508132 | − | 0.861279i | \(-0.669664\pi\) |
0.164368 | + | 0.986399i | \(0.447442\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.91013 | − | 10.8329i | 0.116032 | − | 0.658051i | −0.870202 | − | 0.492695i | \(-0.836012\pi\) |
0.986234 | − | 0.165356i | \(-0.0528772\pi\) | |||||||
\(272\) | −2.81908 | − | 1.02606i | −0.170932 | − | 0.0622141i | ||||
\(273\) | 2.50000 | + | 4.33013i | 0.151307 | + | 0.262071i | ||||
\(274\) | 4.50000 | − | 7.79423i | 0.271855 | − | 0.470867i | ||||
\(275\) | 22.9813 | − | 19.2836i | 1.38583 | − | 1.16285i | ||||
\(276\) | −2.29813 | + | 1.92836i | −0.138331 | + | 0.116074i | ||||
\(277\) | −4.00000 | + | 6.92820i | −0.240337 | + | 0.416275i | −0.960810 | − | 0.277207i | \(-0.910591\pi\) |
0.720473 | + | 0.693482i | \(0.243925\pi\) | |||||||
\(278\) | 2.00000 | + | 3.46410i | 0.119952 | + | 0.207763i | ||||
\(279\) | 7.51754 | + | 2.73616i | 0.450063 | + | 0.163810i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 0 | 0 | 0.984808 | − | 0.173648i | \(-0.0555556\pi\) | ||||
−0.984808 | + | 0.173648i | \(0.944444\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.8530 | − | 14.1413i | −1.00181 | − | 0.840615i | −0.0145720 | − | 0.999894i | \(-0.504639\pi\) |
−0.987234 | + | 0.159279i | \(0.949083\pi\) | |||||||
\(284\) | 6.00000 | 0.356034 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 30.0000 | 1.77394 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1.87939 | − | 0.684040i | 0.110744 | − | 0.0403075i | ||||
\(289\) | −1.38919 | − | 7.87846i | −0.0817168 | − | 0.463439i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 9.39693 | + | 3.42020i | 0.550858 | + | 0.200496i | ||||
\(292\) | 3.50000 | + | 6.06218i | 0.204822 | + | 0.354762i | ||||
\(293\) | −10.5000 | + | 18.1865i | −0.613417 | + | 1.06247i | 0.377244 | + | 0.926114i | \(0.376872\pi\) |
−0.990660 | + | 0.136355i | \(0.956461\pi\) | |||||||
\(294\) | 4.59627 | − | 3.85673i | 0.268060 | − | 0.224929i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.00000 | − | 1.73205i | 0.0581238 | − | 0.100673i | ||||
\(297\) | 15.0000 | + | 25.9808i | 0.870388 | + | 1.50756i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.60472 | + | 14.7721i | −0.150635 | + | 0.854294i | ||||
\(300\) | 0.868241 | + | 4.92404i | 0.0501279 | + | 0.284290i | ||||
\(301\) | 7.51754 | − | 2.73616i | 0.433304 | − | 0.157710i | ||||
\(302\) | 7.66044 | + | 6.42788i | 0.440809 | + | 0.369883i | ||||
\(303\) | −18.0000 | −1.03407 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −4.59627 | − | 3.85673i | −0.262751 | − | 0.220474i | ||||
\(307\) | 18.7939 | − | 6.84040i | 1.07262 | − | 0.390402i | 0.255465 | − | 0.966818i | \(-0.417771\pi\) |
0.817157 | + | 0.576416i | \(0.195549\pi\) | |||||||
\(308\) | 1.04189 | + | 5.90885i | 0.0593671 | + | 0.336688i | ||||
\(309\) | 2.43107 | − | 13.7873i | 0.138299 | − | 0.784333i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.5000 | + | 18.1865i | 0.595400 | + | 1.03126i | 0.993490 | + | 0.113917i | \(0.0363399\pi\) |
−0.398090 | + | 0.917346i | \(0.630327\pi\) | |||||||
\(312\) | −2.50000 | + | 4.33013i | −0.141535 | + | 0.245145i | ||||
\(313\) | −14.5548 | + | 12.2130i | −0.822688 | + | 0.690318i | −0.953600 | − | 0.301076i | \(-0.902654\pi\) |
0.130912 | + | 0.991394i | \(0.458210\pi\) | |||||||
\(314\) | −16.8530 | + | 14.1413i | −0.951069 | + | 0.798041i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.00000 | − | 8.66025i | −0.281272 | − | 0.487177i | ||||
\(317\) | −8.45723 | − | 3.07818i | −0.475006 | − | 0.172888i | 0.0934130 | − | 0.995627i | \(-0.470222\pi\) |
−0.568419 | + | 0.822740i | \(0.692445\pi\) | |||||||
\(318\) | −0.520945 | + | 2.95442i | −0.0292131 | + | 0.165676i | ||||
\(319\) | 9.37700 | + | 53.1796i | 0.525011 | + | 2.97749i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −6.89440 | − | 5.78509i | −0.384808 | − | 0.322892i | ||||
\(322\) | −3.00000 | −0.167183 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 19.1511 | + | 16.0697i | 1.06231 | + | 0.891386i | ||||
\(326\) | −18.7939 | + | 6.84040i | −1.04090 | + | 0.378855i | ||||
\(327\) | 1.91013 | + | 10.8329i | 0.105630 | + | 0.599060i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.500000 | + | 0.866025i | −0.0274825 | + | 0.0476011i | −0.879440 | − | 0.476011i | \(-0.842082\pi\) |
0.851957 | + | 0.523612i | \(0.175416\pi\) | |||||||
\(332\) | −4.59627 | + | 3.85673i | −0.252253 | + | 0.211665i | ||||
\(333\) | 3.06418 | − | 2.57115i | 0.167916 | − | 0.140898i | ||||
\(334\) | 6.00000 | − | 10.3923i | 0.328305 | − | 0.568642i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.939693 | − | 0.342020i | −0.0512644 | − | 0.0186587i | ||||
\(337\) | 0.694593 | − | 3.93923i | 0.0378369 | − | 0.214584i | −0.960027 | − | 0.279906i | \(-0.909697\pi\) |
0.997864 | + | 0.0653228i | \(0.0208077\pi\) | |||||||
\(338\) | 2.08378 | + | 11.8177i | 0.113343 | + | 0.642798i | ||||
\(339\) | −5.63816 | + | 2.05212i | −0.306223 | + | 0.111456i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −24.0000 | −1.29967 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.0000 | 0.701934 | ||||||||
\(344\) | 6.12836 | + | 5.14230i | 0.330419 | + | 0.277254i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.04189 | − | 5.90885i | −0.0560123 | − | 0.317662i | ||||
\(347\) | 3.12567 | − | 17.7265i | 0.167795 | − | 0.951611i | −0.778341 | − | 0.627841i | \(-0.783939\pi\) |
0.946136 | − | 0.323769i | \(-0.104950\pi\) | |||||||
\(348\) | −8.45723 | − | 3.07818i | −0.453355 | − | 0.165008i | ||||
\(349\) | 5.00000 | + | 8.66025i | 0.267644 | + | 0.463573i | 0.968253 | − | 0.249973i | \(-0.0804216\pi\) |
−0.700609 | + | 0.713545i | \(0.747088\pi\) | |||||||
\(350\) | −2.50000 | + | 4.33013i | −0.133631 | + | 0.231455i | ||||
\(351\) | −19.1511 | + | 16.0697i | −1.02221 | + | 0.857737i | ||||
\(352\) | −4.59627 | + | 3.85673i | −0.244982 | + | 0.205564i | ||||
\(353\) | 7.50000 | − | 12.9904i | 0.399185 | − | 0.691408i | −0.594441 | − | 0.804139i | \(-0.702627\pi\) |
0.993626 | + | 0.112731i | \(0.0359599\pi\) | |||||||
\(354\) | −4.50000 | − | 7.79423i | −0.239172 | − | 0.414259i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.08378 | − | 11.8177i | 0.110440 | − | 0.626336i | ||||
\(357\) | 0.520945 | + | 2.95442i | 0.0275713 | + | 0.156365i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 16.0869 | + | 13.4985i | 0.849036 | + | 0.712426i | 0.959577 | − | 0.281446i | \(-0.0908140\pi\) |
−0.110541 | + | 0.993872i | \(0.535258\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −2.00000 | −0.105118 | ||||||||
\(363\) | −19.1511 | − | 16.0697i | −1.00517 | − | 0.843440i | ||||
\(364\) | −4.69846 | + | 1.71010i | −0.246266 | + | 0.0896336i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.73648 | − | 9.84808i | 0.0907674 | − | 0.514767i | ||||
\(367\) | 26.3114 | + | 9.57656i | 1.37344 | + | 0.499893i | 0.920184 | − | 0.391486i | \(-0.128039\pi\) |
0.453260 | + | 0.891379i | \(0.350261\pi\) | |||||||
\(368\) | −1.50000 | − | 2.59808i | −0.0781929 | − | 0.135434i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.29813 | + | 1.92836i | −0.119313 | + | 0.100116i | ||||
\(372\) | 2.00000 | − | 3.46410i | 0.103695 | − | 0.179605i | ||||
\(373\) | 11.5000 | + | 19.9186i | 0.595447 | + | 1.03135i | 0.993484 | + | 0.113975i | \(0.0363585\pi\) |
−0.398036 | + | 0.917370i | \(0.630308\pi\) | |||||||
\(374\) | 16.9145 | + | 6.15636i | 0.874626 | + | 0.318338i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −42.2862 | + | 15.3909i | −2.17785 | + | 0.792672i | ||||
\(378\) | −3.83022 | − | 3.21394i | −0.197005 | − | 0.165307i | ||||
\(379\) | 7.00000 | 0.359566 | 0.179783 | − | 0.983706i | \(-0.442460\pi\) | ||||
0.179783 | + | 0.983706i | \(0.442460\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.00000 | 0.102463 | ||||||||
\(382\) | 2.29813 | + | 1.92836i | 0.117583 | + | 0.0986636i | ||||
\(383\) | 16.9145 | − | 6.15636i | 0.864289 | − | 0.314575i | 0.128437 | − | 0.991718i | \(-0.459004\pi\) |
0.735852 | + | 0.677142i | \(0.236782\pi\) | |||||||
\(384\) | −0.173648 | − | 0.984808i | −0.00886145 | − | 0.0502558i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 13.1557 | + | 4.78828i | 0.669607 | + | 0.243717i | ||||
\(387\) | 8.00000 | + | 13.8564i | 0.406663 | + | 0.704361i | ||||
\(388\) | −5.00000 | + | 8.66025i | −0.253837 | + | 0.439658i | ||||
\(389\) | 13.7888 | − | 11.5702i | 0.699120 | − | 0.586631i | −0.222403 | − | 0.974955i | \(-0.571390\pi\) |
0.921523 | + | 0.388324i | \(0.126946\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.50000 | + | 7.79423i | −0.227575 | + | 0.394171i | ||||
\(392\) | 3.00000 | + | 5.19615i | 0.151523 | + | 0.262445i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −11.2763 | + | 4.10424i | −0.566656 | + | 0.206246i | ||||
\(397\) | 15.3209 | + | 12.8558i | 0.768933 | + | 0.645212i | 0.940436 | − | 0.339972i | \(-0.110418\pi\) |
−0.171502 | + | 0.985184i | \(0.554862\pi\) | |||||||
\(398\) | 11.0000 | 0.551380 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −5.00000 | −0.250000 | ||||||||
\(401\) | 0 | 0 | 0.642788 | − | 0.766044i | \(-0.277778\pi\) | ||||
−0.642788 | + | 0.766044i | \(0.722222\pi\) | |||||||
\(402\) | −4.69846 | + | 1.71010i | −0.234338 | + | 0.0852921i | ||||
\(403\) | −3.47296 | − | 19.6962i | −0.173001 | − | 0.981135i | ||||
\(404\) | 3.12567 | − | 17.7265i | 0.155508 | − | 0.881928i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.50000 | − | 7.79423i | −0.223331 | − | 0.386821i | ||||
\(407\) | −6.00000 | + | 10.3923i | −0.297409 | + | 0.515127i | ||||
\(408\) | −2.29813 | + | 1.92836i | −0.113775 | + | 0.0954682i | ||||
\(409\) | −24.5134 | + | 20.5692i | −1.21211 | + | 1.01708i | −0.212911 | + | 0.977072i | \(0.568295\pi\) |
−0.999199 | + | 0.0400102i | \(0.987261\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −4.50000 | − | 7.79423i | −0.221969 | − | 0.384461i | ||||
\(412\) | 13.1557 | + | 4.78828i | 0.648135 | + | 0.235902i | ||||
\(413\) | 1.56283 | − | 8.86327i | 0.0769020 | − | 0.436133i | ||||
\(414\) | −1.04189 | − | 5.90885i | −0.0512061 | − | 0.290404i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −3.83022 | − | 3.21394i | −0.187792 | − | 0.157576i | ||||
\(417\) | 4.00000 | 0.195881 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −12.0000 | −0.586238 | −0.293119 | − | 0.956076i | \(-0.594693\pi\) | ||||
−0.293119 | + | 0.956076i | \(0.594693\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.9748 | − | 5.81434i | 0.778563 | − | 0.283374i | 0.0779896 | − | 0.996954i | \(-0.475150\pi\) |
0.700573 | + | 0.713580i | \(0.252928\pi\) | |||||||
\(422\) | −0.868241 | − | 4.92404i | −0.0422653 | − | 0.239698i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.81908 | − | 1.02606i | −0.136907 | − | 0.0498299i | ||||
\(425\) | 7.50000 | + | 12.9904i | 0.363803 | + | 0.630126i | ||||
\(426\) | 3.00000 | − | 5.19615i | 0.145350 | − | 0.251754i | ||||
\(427\) | 7.66044 | − | 6.42788i | 0.370715 | − | 0.311067i | ||||
\(428\) | 6.89440 | − | 5.78509i | 0.333253 | − | 0.279633i | ||||
\(429\) | 15.0000 | − | 25.9808i | 0.724207 | − | 1.25436i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 5.63816 | + | 2.05212i | 0.271580 | + | 0.0988472i | 0.474221 | − | 0.880406i | \(-0.342730\pi\) |
−0.202640 | + | 0.979253i | \(0.564952\pi\) | |||||||
\(432\) | 0.868241 | − | 4.92404i | 0.0417733 | − | 0.236908i | ||||
\(433\) | −0.347296 | − | 1.96962i | −0.0166900 | − | 0.0946537i | 0.975325 | − | 0.220774i | \(-0.0708584\pi\) |
−0.992015 | + | 0.126121i | \(0.959747\pi\) | |||||||
\(434\) | 3.75877 | − | 1.36808i | 0.180427 | − | 0.0656700i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −11.0000 | −0.526804 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 7.00000 | 0.334473 | ||||||||
\(439\) | 21.4492 | + | 17.9981i | 1.02372 | + | 0.859000i | 0.990090 | − | 0.140434i | \(-0.0448499\pi\) |
0.0336266 | + | 0.999434i | \(0.489294\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.08378 | + | 11.8177i | 0.0992275 | + | 0.562747i | ||||
\(442\) | −2.60472 | + | 14.7721i | −0.123894 | + | 0.702638i | ||||
\(443\) | 16.9145 | + | 6.15636i | 0.803631 | + | 0.292498i | 0.710990 | − | 0.703202i | \(-0.248247\pi\) |
0.0926405 | + | 0.995700i | \(0.470469\pi\) | |||||||
\(444\) | −1.00000 | − | 1.73205i | −0.0474579 | − | 0.0821995i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −19.9172 | + | 16.7125i | −0.943105 | + | 0.791359i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.500000 | − | 0.866025i | 0.0236228 | − | 0.0409159i | ||||
\(449\) | −9.00000 | − | 15.5885i | −0.424736 | − | 0.735665i | 0.571660 | − | 0.820491i | \(-0.306300\pi\) |
−0.996396 | + | 0.0848262i | \(0.972967\pi\) | |||||||
\(450\) | −9.39693 | − | 3.42020i | −0.442975 | − | 0.161230i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | −1.04189 | − | 5.90885i | −0.0490063 | − | 0.277929i | ||||
\(453\) | 9.39693 | − | 3.42020i | 0.441506 | − | 0.160695i | ||||
\(454\) | 11.4907 | + | 9.64181i | 0.539284 | + | 0.452513i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.0000 | 0.795226 | 0.397613 | − | 0.917553i | \(-0.369839\pi\) | ||||
0.397613 | + | 0.917553i | \(0.369839\pi\) | |||||||
\(458\) | −16.8530 | − | 14.1413i | −0.787488 | − | 0.660781i | ||||
\(459\) | −14.0954 | + | 5.13030i | −0.657916 | + | 0.239462i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −2.08378 | + | 11.8177i | −0.0970512 | + | 0.550405i | 0.897048 | + | 0.441933i | \(0.145707\pi\) |
−0.994099 | + | 0.108472i | \(0.965404\pi\) | |||||||
\(462\) | 5.63816 | + | 2.05212i | 0.262311 | + | 0.0954733i | ||||
\(463\) | 2.00000 | + | 3.46410i | 0.0929479 | + | 0.160990i | 0.908750 | − | 0.417340i | \(-0.137038\pi\) |
−0.815802 | + | 0.578331i | \(0.803704\pi\) | |||||||
\(464\) | 4.50000 | − | 7.79423i | 0.208907 | − | 0.361838i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.59627 | + | 3.85673i | −0.212918 | + | 0.178659i | ||||
\(467\) | −9.00000 | + | 15.5885i | −0.416470 | + | 0.721348i | −0.995582 | − | 0.0939008i | \(-0.970066\pi\) |
0.579111 | + | 0.815249i | \(0.303400\pi\) | |||||||
\(468\) | −5.00000 | − | 8.66025i | −0.231125 | − | 0.400320i | ||||
\(469\) | −4.69846 | − | 1.71010i | −0.216955 | − | 0.0789651i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.82026 | + | 21.6658i | 0.176028 | + | 0.998306i | ||||
\(472\) | 8.45723 | − | 3.07818i | 0.389276 | − | 0.141685i | ||||
\(473\) | −36.7701 | − | 30.8538i | −1.69069 | − | 1.41866i | ||||
\(474\) | −10.0000 | −0.459315 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −3.00000 | −0.137505 | ||||||||
\(477\) | −4.59627 | − | 3.85673i | −0.210449 | − | 0.176587i | ||||
\(478\) | 19.7335 | − | 7.18242i | 0.902591 | − | 0.328516i | ||||
\(479\) | 6.25133 | + | 35.4531i | 0.285631 | + | 1.61989i | 0.703024 | + | 0.711166i | \(0.251833\pi\) |
−0.417393 | + | 0.908726i | \(0.637056\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −9.39693 | − | 3.42020i | −0.428463 | − | 0.155948i | ||||
\(482\) | 4.00000 | + | 6.92820i | 0.182195 | + | 0.315571i | ||||
\(483\) | −1.50000 | + | 2.59808i | −0.0682524 | + | 0.118217i | ||||
\(484\) | 19.1511 | − | 16.0697i | 0.870505 | − | 0.730440i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 8.00000 | − | 13.8564i | 0.362887 | − | 0.628539i | ||||
\(487\) | 1.00000 | + | 1.73205i | 0.0453143 | + | 0.0784867i | 0.887793 | − | 0.460243i | \(-0.152238\pi\) |
−0.842479 | + | 0.538730i | \(0.818904\pi\) | |||||||
\(488\) | 9.39693 | + | 3.42020i | 0.425379 | + | 0.154825i | ||||
\(489\) | −3.47296 | + | 19.6962i | −0.157053 | + | 0.890691i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 33.8289 | − | 12.3127i | 1.52668 | − | 0.555666i | 0.563873 | − | 0.825861i | \(-0.309311\pi\) |
0.962805 | + | 0.270196i | \(0.0870885\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −27.0000 | −1.21602 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.06418 | + | 2.57115i | 0.137586 | + | 0.115448i | ||||
\(497\) | 5.63816 | − | 2.05212i | 0.252906 | − | 0.0920502i | ||||
\(498\) | 1.04189 | + | 5.90885i | 0.0466882 | + | 0.264782i | ||||
\(499\) | −0.694593 | + | 3.93923i | −0.0310942 | + | 0.176344i | −0.996400 | − | 0.0847787i | \(-0.972982\pi\) |
0.965306 | + | 0.261123i | \(0.0840928\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −6.00000 | − | 10.3923i | −0.268060 | − | 0.464294i | ||||
\(502\) | −3.00000 | + | 5.19615i | −0.133897 | + | 0.231916i | ||||
\(503\) | −16.0869 | + | 13.4985i | −0.717281 | + | 0.601870i | −0.926632 | − | 0.375970i | \(-0.877309\pi\) |
0.209351 | + | 0.977841i | \(0.432865\pi\) | |||||||
\(504\) | 1.53209 | − | 1.28558i | 0.0682447 | − | 0.0572641i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 9.00000 | + | 15.5885i | 0.400099 | + | 0.692991i | ||||
\(507\) | 11.2763 | + | 4.10424i | 0.500799 | + | 0.182276i | ||||
\(508\) | −0.347296 | + | 1.96962i | −0.0154088 | + | 0.0873876i | ||||
\(509\) | −5.20945 | − | 29.5442i | −0.230905 | − | 1.30953i | −0.851069 | − | 0.525053i | \(-0.824045\pi\) |
0.620165 | − | 0.784472i | \(-0.287066\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.36231 | + | 4.49951i | 0.237215 | + | 0.199047i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −12.0000 | −0.529297 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 7.51754 | − | 2.73616i | 0.330941 | − | 0.120453i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 0.347296 | − | 1.96962i | 0.0152593 | − | 0.0865399i | ||||
\(519\) | −5.63816 | − | 2.05212i | −0.247488 | − | 0.0900781i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −18.0000 | + | 31.1769i | −0.788594 | + | 1.36589i | 0.138234 | + | 0.990400i | \(0.455857\pi\) |
−0.926828 | + | 0.375486i | \(0.877476\pi\) | |||||||
\(522\) | 13.7888 | − | 11.5702i | 0.603519 | − | 0.506413i | ||||
\(523\) | −8.42649 | + | 7.07066i | −0.368465 | + | 0.309179i | −0.808154 | − | 0.588971i | \(-0.799533\pi\) |
0.439689 | + | 0.898150i | \(0.355089\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 2.50000 | + | 4.33013i | 0.109109 | + | 0.188982i | ||||
\(526\) | −22.5526 | − | 8.20848i | −0.983341 | − | 0.357907i | ||||
\(527\) | 2.08378 | − | 11.8177i | 0.0907708 | − | 0.514787i | ||||
\(528\) | 1.04189 | + | 5.90885i | 0.0453424 | + | 0.257150i | ||||
\(529\) | 13.1557 | − | 4.78828i | 0.571987 | − | 0.208186i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 18.0000 | 0.781133 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | −9.19253 | − | 7.71345i | −0.397800 | − | 0.333794i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −0.868241 | − | 4.92404i | −0.0375023 | − | 0.212686i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.63816 | − | 2.05212i | −0.243078 | − | 0.0884732i | ||||
\(539\) | −18.0000 | − | 31.1769i | −0.775315 | − | 1.34288i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.53209 | − | 1.28558i | 0.0658696 | − | 0.0552712i | −0.609258 | − | 0.792972i | \(-0.708533\pi\) |
0.675128 | + | 0.737701i | \(0.264088\pi\) | |||||||
\(542\) | 8.42649 | − | 7.07066i | 0.361949 | − | 0.303711i | ||||
\(543\) | −1.00000 | + | 1.73205i | −0.0429141 | + | 0.0743294i | ||||
\(544\) | −1.50000 | − | 2.59808i | −0.0643120 | − | 0.111392i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −0.868241 | + | 4.92404i | −0.0371573 | + | 0.210729i | ||||
\(547\) | −7.64052 | − | 43.3315i | −0.326685 | − | 1.85272i | −0.497559 | − | 0.867430i | \(-0.665770\pi\) |
0.170874 | − | 0.985293i | \(-0.445341\pi\) | |||||||
\(548\) | 8.45723 | − | 3.07818i | 0.361275 | − | 0.131493i | ||||
\(549\) | 15.3209 | + | 12.8558i | 0.653880 | + | 0.548670i | ||||
\(550\) | 30.0000 | 1.27920 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −3.00000 | −0.127688 | ||||||||
\(553\) | −7.66044 | − | 6.42788i | −0.325755 | − | 0.273341i | ||||
\(554\) | −7.51754 | + | 2.73616i | −0.319390 | + | 0.116248i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.694593 | + | 3.93923i | −0.0294573 | + | 0.167061i | ||||
\(557\) | −22.5526 | − | 8.20848i | −0.955585 | − | 0.347805i | −0.183283 | − | 0.983060i | \(-0.558673\pi\) |
−0.772302 | + | 0.635256i | \(0.780895\pi\) | |||||||
\(558\) | 4.00000 | + | 6.92820i | 0.169334 | + | 0.293294i | ||||
\(559\) | 20.0000 | − | 34.6410i | 0.845910 | − | 1.46516i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 13.7888 | − | 11.5702i | 0.582164 | − | 0.488493i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −6.00000 | − | 10.3923i | −0.252870 | − | 0.437983i | 0.711445 | − | 0.702742i | \(-0.248041\pi\) |
−0.964315 | + | 0.264758i | \(0.914708\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −3.82026 | − | 21.6658i | −0.160578 | − | 0.910680i | ||||
\(567\) | 0.939693 | − | 0.342020i | 0.0394634 | − | 0.0143635i | ||||
\(568\) | 4.59627 | + | 3.85673i | 0.192855 | + | 0.161825i | ||||
\(569\) | 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 | \(0.526673\pi\) | |||||||
\(572\) | 22.9813 | + | 19.2836i | 0.960898 | + | 0.806289i | ||||
\(573\) | 2.81908 | − | 1.02606i | 0.117769 | − | 0.0428643i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.60472 | + | 14.7721i | −0.108624 | + | 0.616040i | ||||
\(576\) | 1.87939 | + | 0.684040i | 0.0783077 | + | 0.0285017i | ||||
\(577\) | −5.50000 | − | 9.52628i | −0.228968 | − | 0.396584i | 0.728535 | − | 0.685009i | \(-0.240202\pi\) |
−0.957503 | + | 0.288425i | \(0.906868\pi\) | |||||||
\(578\) | 4.00000 | − | 6.92820i | 0.166378 | − | 0.288175i | ||||
\(579\) | 10.7246 | − | 8.99903i | 0.445700 | − | 0.373987i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.00000 | + | 5.19615i | −0.124461 | + | 0.215573i | ||||
\(582\) | 5.00000 | + | 8.66025i | 0.207257 | + | 0.358979i | ||||
\(583\) | 16.9145 | + | 6.15636i | 0.700526 | + | 0.254970i | ||||
\(584\) | −1.21554 | + | 6.89365i | −0.0502993 | + | 0.285261i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19.7335 | + | 7.18242i | −0.815185 | + | 0.296703i | ||||
\(587\) | −9.19253 | − | 7.71345i | −0.379416 | − | 0.318368i | 0.433057 | − | 0.901367i | \(-0.357435\pi\) |
−0.812473 | + | 0.582998i | \(0.801879\pi\) | |||||||
\(588\) | 6.00000 | 0.247436 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.87939 | − | 0.684040i | 0.0772423 | − | 0.0281139i | ||||
\(593\) | −5.20945 | − | 29.5442i | −0.213926 | − | 1.21324i | −0.882760 | − | 0.469824i | \(-0.844317\pi\) |
0.668834 | − | 0.743412i | \(-0.266794\pi\) | |||||||
\(594\) | −5.20945 | + | 29.5442i | −0.213746 | + | 1.21221i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.50000 | − | 9.52628i | 0.225100 | − | 0.389885i | ||||
\(598\) | −11.4907 | + | 9.64181i | −0.469888 | + | 0.394283i | ||||
\(599\) | 18.3851 | − | 15.4269i | 0.751193 | − | 0.630326i | −0.184625 | − | 0.982809i | \(-0.559107\pi\) |
0.935818 | + | 0.352483i | \(0.114663\pi\) | |||||||
\(600\) | −2.50000 | + | 4.33013i | −0.102062 | + | 0.176777i | ||||
\(601\) | −14.0000 | − | 24.2487i | −0.571072 | − | 0.989126i | −0.996456 | − | 0.0841128i | \(-0.973194\pi\) |
0.425384 | − | 0.905013i | \(-0.360139\pi\) | |||||||
\(602\) | 7.51754 | + | 2.73616i | 0.306392 | + | 0.111518i | ||||
\(603\) | 1.73648 | − | 9.84808i | 0.0707150 | − | 0.401045i | ||||
\(604\) | 1.73648 | + | 9.84808i | 0.0706564 | + | 0.400713i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −13.7888 | − | 11.5702i | −0.560132 | − | 0.470006i | ||||
\(607\) | 22.0000 | 0.892952 | 0.446476 | − | 0.894795i | \(-0.352679\pi\) | ||||
0.446476 | + | 0.894795i | \(0.352679\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −9.00000 | −0.364698 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −1.04189 | − | 5.90885i | −0.0421159 | − | 0.238851i | ||||
\(613\) | 0.347296 | − | 1.96962i | 0.0140272 | − | 0.0795520i | −0.976991 | − | 0.213282i | \(-0.931585\pi\) |
0.991018 | + | 0.133730i | \(0.0426956\pi\) | |||||||
\(614\) | 18.7939 | + | 6.84040i | 0.758458 | + | 0.276056i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.00000 | + | 5.19615i | −0.120873 | + | 0.209359i | ||||
\(617\) | −4.59627 | + | 3.85673i | −0.185039 | + | 0.155266i | −0.730602 | − | 0.682804i | \(-0.760760\pi\) |
0.545563 | + | 0.838070i | \(0.316316\pi\) | |||||||
\(618\) | 10.7246 | − | 8.99903i | 0.431408 | − | 0.361994i | ||||
\(619\) | 5.00000 | − | 8.66025i | 0.200967 | − | 0.348085i | −0.747873 | − | 0.663842i | \(-0.768925\pi\) |
0.948840 | + | 0.315757i | \(0.102258\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −14.0954 | − | 5.13030i | −0.565628 | − | 0.205872i | ||||
\(622\) | −3.64661 | + | 20.6810i | −0.146216 | + | 0.829231i | ||||
\(623\) | −2.08378 | − | 11.8177i | −0.0834848 | − | 0.473466i | ||||
\(624\) | −4.69846 | + | 1.71010i | −0.188089 | + | 0.0684588i | ||||
\(625\) | 19.1511 | + | 16.0697i | 0.766044 | + | 0.642788i | ||||
\(626\) | −19.0000 | −0.759393 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −22.0000 | −0.877896 | ||||||||
\(629\) | −4.59627 | − | 3.85673i | −0.183265 | − | 0.153778i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −2.77837 | − | 15.7569i | −0.110605 | − | 0.627273i | −0.988833 | − | 0.149030i | \(-0.952385\pi\) |
0.878227 | − | 0.478243i | \(-0.158726\pi\) | |||||||
\(632\) | 1.73648 | − | 9.84808i | 0.0690735 | − | 0.391735i | ||||
\(633\) | −4.69846 | − | 1.71010i | −0.186747 | − | 0.0679704i | ||||
\(634\) | −4.50000 | − | 7.79423i | −0.178718 | − | 0.309548i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −2.29813 | + | 1.92836i | −0.0911269 | + | 0.0764646i | ||||
\(637\) | 22.9813 | − | 19.2836i | 0.910554 | − | 0.764045i | ||||
\(638\) | −27.0000 | + | 46.7654i | −1.06894 | + | 1.85146i | ||||
\(639\) | 6.00000 | + | 10.3923i | 0.237356 | + | 0.411113i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.04189 | + | 5.90885i | −0.0411521 | + | 0.233385i | −0.998446 | − | 0.0557321i | \(-0.982251\pi\) |
0.957294 | + | 0.289118i | \(0.0933618\pi\) | |||||||
\(642\) | −1.56283 | − | 8.86327i | −0.0616801 | − | 0.349805i | ||||
\(643\) | 20.6732 | − | 7.52444i | 0.815273 | − | 0.296735i | 0.0994728 | − | 0.995040i | \(-0.468284\pi\) |
0.715800 | + | 0.698305i | \(0.246062\pi\) | |||||||
\(644\) | −2.29813 | − | 1.92836i | −0.0905591 | − | 0.0759881i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 27.0000 | 1.06148 | 0.530740 | − | 0.847535i | \(-0.321914\pi\) | ||||
0.530740 | + | 0.847535i | \(0.321914\pi\) | |||||||
\(648\) | 0.766044 | + | 0.642788i | 0.0300931 | + | 0.0252511i | ||||
\(649\) | −50.7434 | + | 18.4691i | −1.99185 | + | 0.724975i | ||||
\(650\) | 4.34120 | + | 24.6202i | 0.170276 | + | 0.965683i | ||||
\(651\) | 0.694593 | − | 3.93923i | 0.0272232 | − | 0.154391i | ||||
\(652\) | −18.7939 | − | 6.84040i | −0.736024 | − | 0.267891i | ||||
\(653\) | −12.0000 | − | 20.7846i | −0.469596 | − | 0.813365i | 0.529799 | − | 0.848123i | \(-0.322267\pi\) |
−0.999396 | + | 0.0347583i | \(0.988934\pi\) | |||||||
\(654\) | −5.50000 | + | 9.52628i | −0.215067 | + | 0.372507i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.00000 | + | 12.1244i | −0.273096 | + | 0.473016i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −42.2862 | − | 15.3909i | −1.64724 | − | 0.599545i | −0.658953 | − | 0.752184i | \(-0.729001\pi\) |
−0.988282 | + | 0.152639i | \(0.951223\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.25743 | + | 12.8025i | 0.0878037 | + | 0.497960i | 0.996716 | + | 0.0809729i | \(0.0258027\pi\) |
−0.908913 | + | 0.416987i | \(0.863086\pi\) | |||||||
\(662\) | −0.939693 | + | 0.342020i | −0.0365222 | + | 0.0132930i | ||||
\(663\) | 11.4907 | + | 9.64181i | 0.446261 | + | 0.374457i | ||||
\(664\) | −6.00000 | −0.232845 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.00000 | 0.154997 | ||||||||
\(667\) | −20.6832 | − | 17.3553i | −0.800857 | − | 0.671999i | ||||
\(668\) | 11.2763 | − | 4.10424i | 0.436294 | − | 0.158798i | ||||
\(669\) | 4.51485 | + | 25.6050i | 0.174554 | + | 0.989947i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −56.3816 | − | 20.5212i | −2.17659 | − | 0.792212i | ||||
\(672\) | −0.500000 | − | 0.866025i | −0.0192879 | − | 0.0334077i | ||||
\(673\) | 22.0000 | − | 38.1051i | 0.848038 | − | 1.46884i | −0.0349191 | − | 0.999390i | \(-0.511117\pi\) |
0.882957 | − | 0.469454i | \(-0.155549\pi\) | |||||||
\(674\) | 3.06418 | − | 2.57115i | 0.118028 | − | 0.0990370i | ||||
\(675\) | −19.1511 | + | 16.0697i | −0.737127 | + | 0.618523i | ||||
\(676\) | −6.00000 | + | 10.3923i | −0.230769 | + | 0.399704i | ||||
\(677\) | −16.5000 | − | 28.5788i | −0.634147 | − | 1.09837i | −0.986695 | − | 0.162581i | \(-0.948018\pi\) |
0.352549 | − | 0.935793i | \(-0.385315\pi\) | |||||||
\(678\) | −5.63816 | − | 2.05212i | −0.216532 | − | 0.0788112i | ||||
\(679\) | −1.73648 | + | 9.84808i | −0.0666401 | + | 0.377935i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 14.0954 | − | 5.13030i | 0.540136 | − | 0.196594i | ||||
\(682\) | −18.3851 | − | 15.4269i | −0.704001 | − | 0.590727i | ||||
\(683\) | −36.0000 | −1.37750 | −0.688751 | − | 0.724998i | \(-0.741841\pi\) | ||||
−0.688751 | + | 0.724998i | \(0.741841\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 9.95858 | + | 8.35624i | 0.380220 | + | 0.319043i | ||||
\(687\) | −20.6732 | + | 7.52444i | −0.788733 | + | 0.287075i | ||||
\(688\) | 1.38919 | + | 7.87846i | 0.0529622 | + | 0.300364i | ||||
\(689\) | −2.60472 | + | 14.7721i | −0.0992320 | + | 0.562773i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.00000 | + | 8.66025i | 0.190209 | + | 0.329452i | 0.945319 | − | 0.326146i | \(-0.105750\pi\) |
−0.755110 | + | 0.655598i | \(0.772417\pi\) | |||||||
\(692\) | 3.00000 | − | 5.19615i | 0.114043 | − | 0.197528i | ||||
\(693\) | −9.19253 | + | 7.71345i | −0.349195 | + | 0.293010i | ||||
\(694\) | 13.7888 | − | 11.5702i | 0.523416 | − | 0.439198i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −4.50000 | − | 7.79423i | −0.170572 | − | 0.295439i | ||||
\(697\) | 0 | 0 | ||||||||
\(698\) | −1.73648 | + | 9.84808i | −0.0657268 | + | 0.372755i | ||||
\(699\) | 1.04189 | + | 5.90885i | 0.0394079 | + | 0.223493i | ||||
\(700\) | −4.69846 | + | 1.71010i | −0.177585 | + | 0.0646357i | ||||
\(701\) | 9.19253 | + | 7.71345i | 0.347197 | + | 0.291333i | 0.799663 | − | 0.600448i | \(-0.205011\pi\) |
−0.452466 | + | 0.891782i | \(0.649456\pi\) | |||||||
\(702\) | −25.0000 | −0.943564 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −6.00000 | −0.226134 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 14.0954 | − | 5.13030i | 0.530487 | − | 0.193081i | ||||
\(707\) | −3.12567 | − | 17.7265i | −0.117553 | − | 0.666675i | ||||
\(708\) | 1.56283 | − | 8.86327i | 0.0587349 | − | 0.333102i | ||||
\(709\) | 9.39693 | + | 3.42020i | 0.352909 | + | 0.128448i | 0.512391 | − | 0.858753i | \(-0.328760\pi\) |
−0.159482 | + | 0.987201i | \(0.550982\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 10.0000 | − | 17.3205i | 0.375029 | − | 0.649570i | ||||
\(712\) | 9.19253 | − | 7.71345i | 0.344505 | − | 0.289074i | ||||
\(713\) | 9.19253 | − | 7.71345i | 0.344263 | − | 0.288871i | ||||
\(714\) | −1.50000 | + | 2.59808i | −0.0561361 | + | 0.0972306i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 3.64661 | − | 20.6810i | 0.136185 | − | 0.772345i | ||||
\(718\) | 3.64661 | + | 20.6810i | 0.136090 | + | 0.771807i | ||||
\(719\) | −36.6480 | + | 13.3388i | −1.36674 | + | 0.497453i | −0.918132 | − | 0.396276i | \(-0.870302\pi\) |
−0.448609 | + | 0.893728i | \(0.648080\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.0000 | 0.521387 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 8.00000 | 0.297523 | ||||||||
\(724\) | −1.53209 | − | 1.28558i | −0.0569396 | − | 0.0477780i | ||||
\(725\) | −42.2862 | + | 15.3909i | −1.57047 | + | 0.571604i | ||||
\(726\) | −4.34120 | − | 24.6202i | −0.161117 | − | 0.913741i | ||||
\(727\) | −6.42498 | + | 36.4379i | −0.238289 | + | 1.35141i | 0.597285 | + | 0.802029i | \(0.296246\pi\) |
−0.835574 | + | 0.549377i | \(0.814865\pi\) | |||||||
\(728\) | −4.69846 | − | 1.71010i | −0.174137 | − | 0.0633805i | ||||
\(729\) | −6.50000 | − | 11.2583i | −0.240741 | − | 0.416975i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 18.3851 | − | 15.4269i | 0.679996 | − | 0.570585i | ||||
\(732\) | 7.66044 | − | 6.42788i | 0.283138 | − | 0.237581i | ||||
\(733\) | −16.0000 | + | 27.7128i | −0.590973 | + | 1.02360i | 0.403128 | + | 0.915144i | \(0.367923\pi\) |
−0.994102 | + | 0.108453i | \(0.965410\pi\) | |||||||
\(734\) | 14.0000 | + | 24.2487i | 0.516749 | + | 0.895036i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.520945 | − | 2.95442i | 0.0192023 | − | 0.108901i | ||||
\(737\) | 5.20945 | + | 29.5442i | 0.191892 | + | 1.08828i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.2567 | − | 10.2846i | −0.450870 | − | 0.378325i | 0.388888 | − | 0.921285i | \(-0.372859\pi\) |
−0.839759 | + | 0.542960i | \(0.817304\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.00000 | −0.110133 | ||||||||
\(743\) | 27.5776 | + | 23.1404i | 1.01172 | + | 0.848937i | 0.988565 | − | 0.150795i | \(-0.0481832\pi\) |
0.0231589 | + | 0.999732i | \(0.492628\pi\) | |||||||
\(744\) | 3.75877 | − | 1.36808i | 0.137803 | − | 0.0501563i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −3.99391 | + | 22.6506i | −0.146227 | + | 0.829297i | ||||
\(747\) | −11.2763 | − | 4.10424i | −0.412579 | − | 0.150166i | ||||
\(748\) | 9.00000 | + | 15.5885i | 0.329073 | + | 0.569970i | ||||
\(749\) | 4.50000 | − | 7.79423i | 0.164426 | − | 0.284795i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 30.6418 | − | 25.7115i | 1.11813 | − | 0.938226i | 0.119626 | − | 0.992819i | \(-0.461831\pi\) |
0.998509 | + | 0.0545929i | \(0.0173861\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.00000 | + | 5.19615i | 0.109326 | + | 0.189358i | ||||
\(754\) | −42.2862 | − | 15.3909i | −1.53997 | − | 0.560504i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −0.868241 | − | 4.92404i | −0.0315776 | − | 0.179086i | ||||
\(757\) | −1.87939 | + | 0.684040i | −0.0683074 | + | 0.0248619i | −0.375948 | − | 0.926641i | \(-0.622683\pi\) |
0.307640 | + | 0.951503i | \(0.400461\pi\) | |||||||
\(758\) | 5.36231 | + | 4.49951i | 0.194768 | + | 0.163430i | ||||
\(759\) | 18.0000 | 0.653359 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −21.0000 | −0.761249 | −0.380625 | − | 0.924730i | \(-0.624291\pi\) | ||||
−0.380625 | + | 0.924730i | \(0.624291\pi\) | |||||||
\(762\) | 1.53209 | + | 1.28558i | 0.0555017 | + | 0.0465715i | ||||
\(763\) | −10.3366 | + | 3.76222i | −0.374211 | + | 0.136202i | ||||
\(764\) | 0.520945 | + | 2.95442i | 0.0188471 | + | 0.106887i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 16.9145 | + | 6.15636i | 0.611145 | + | 0.222438i | ||||
\(767\) | −22.5000 | − | 38.9711i | −0.812428 | − | 1.40717i | ||||
\(768\) | 0.500000 | − | 0.866025i | 0.0180422 | − | 0.0312500i | ||||
\(769\) | 3.83022 | − | 3.21394i | 0.138121 | − | 0.115898i | −0.571109 | − | 0.820874i | \(-0.693487\pi\) |
0.709231 | + | 0.704976i | \(0.249042\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −6.00000 | + | 10.3923i | −0.216085 | + | 0.374270i | ||||
\(772\) | 7.00000 | + | 12.1244i | 0.251936 | + | 0.436365i | ||||
\(773\) | 47.9243 | + | 17.4430i | 1.72372 | + | 0.627382i | 0.998152 | − | 0.0607702i | \(-0.0193557\pi\) |
0.725566 | + | 0.688152i | \(0.241578\pi\) | |||||||
\(774\) | −2.77837 | + | 15.7569i | −0.0998665 | + | 0.566371i | ||||
\(775\) | −3.47296 | − | 19.6962i | −0.124753 | − | 0.707507i | ||||
\(776\) | −9.39693 | + | 3.42020i | −0.337330 | + | 0.122778i | ||||
\(777\) | −1.53209 | − | 1.28558i | −0.0549634 | − | 0.0461198< |