Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(79,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.i (of order \(6\), degree \(2\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 70) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 79.3 | ||
Root | \(-0.258819 - 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 490.79 |
Dual form | 490.2.i.c.459.3 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | −2.12132 | + | 1.22474i | −1.22474 | + | 0.707107i | −0.965926 | − | 0.258819i | \(-0.916667\pi\) |
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.81431 | − | 1.30701i | −0.811386 | − | 0.584511i | ||||
\(6\) | −2.44949 | −1.00000 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 1.50000 | − | 2.59808i | 0.500000 | − | 0.866025i | ||||
\(10\) | −0.917738 | − | 2.03906i | −0.290214 | − | 0.644807i | ||||
\(11\) | −2.44949 | − | 4.24264i | −0.738549 | − | 1.27920i | −0.953149 | − | 0.302502i | \(-0.902178\pi\) |
0.214600 | − | 0.976702i | \(-0.431155\pi\) | |||||||
\(12\) | −2.12132 | − | 1.22474i | −0.612372 | − | 0.353553i | ||||
\(13\) | 0.449490i | 0.124666i | 0.998055 | + | 0.0623330i | \(0.0198541\pi\) | ||||
−0.998055 | + | 0.0623330i | \(0.980146\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 5.44949 | + | 0.550510i | 1.40705 | + | 0.142141i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.73205 | − | 1.00000i | 0.420084 | − | 0.242536i | −0.275029 | − | 0.961436i | \(-0.588688\pi\) |
0.695113 | + | 0.718900i | \(0.255354\pi\) | |||||||
\(18\) | 2.59808 | − | 1.50000i | 0.612372 | − | 0.353553i | ||||
\(19\) | 3.22474 | − | 5.58542i | 0.739807 | − | 1.28138i | −0.212775 | − | 0.977101i | \(-0.568250\pi\) |
0.952582 | − | 0.304282i | \(-0.0984166\pi\) | |||||||
\(20\) | 0.224745 | − | 2.22474i | 0.0502545 | − | 0.497468i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 4.89898i | − | 1.04447i | ||||||
\(23\) | −5.97469 | − | 3.44949i | −1.24581 | − | 0.719268i | −0.275538 | − | 0.961290i | \(-0.588856\pi\) |
−0.970271 | + | 0.242022i | \(0.922189\pi\) | |||||||
\(24\) | −1.22474 | − | 2.12132i | −0.250000 | − | 0.433013i | ||||
\(25\) | 1.58346 | + | 4.74264i | 0.316693 | + | 0.948528i | ||||
\(26\) | −0.224745 | + | 0.389270i | −0.0440761 | + | 0.0763420i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.89898 | 0.538327 | 0.269163 | − | 0.963095i | \(-0.413253\pi\) | ||||
0.269163 | + | 0.963095i | \(0.413253\pi\) | |||||||
\(30\) | 4.44414 | + | 3.20150i | 0.811386 | + | 0.584511i | ||||
\(31\) | 0.449490 | + | 0.778539i | 0.0807307 | + | 0.139830i | 0.903564 | − | 0.428453i | \(-0.140941\pi\) |
−0.822833 | + | 0.568283i | \(0.807608\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 10.3923 | + | 6.00000i | 1.80907 | + | 1.04447i | ||||
\(34\) | 2.00000 | 0.342997 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 3.00000 | 0.500000 | ||||||||
\(37\) | −1.73205 | − | 1.00000i | −0.284747 | − | 0.164399i | 0.350823 | − | 0.936442i | \(-0.385902\pi\) |
−0.635571 | + | 0.772043i | \(0.719235\pi\) | |||||||
\(38\) | 5.58542 | − | 3.22474i | 0.906075 | − | 0.523123i | ||||
\(39\) | −0.550510 | − | 0.953512i | −0.0881522 | − | 0.152684i | ||||
\(40\) | 1.30701 | − | 1.81431i | 0.206656 | − | 0.286868i | ||||
\(41\) | −10.8990 | −1.70213 | −0.851067 | − | 0.525057i | \(-0.824044\pi\) | ||||
−0.851067 | + | 0.525057i | \(0.824044\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 8.89898i | − | 1.35708i | −0.734563 | − | 0.678541i | \(-0.762613\pi\) | ||
0.734563 | − | 0.678541i | \(-0.237387\pi\) | |||||||
\(44\) | 2.44949 | − | 4.24264i | 0.369274 | − | 0.639602i | ||||
\(45\) | −6.11717 | + | 2.75321i | −0.911894 | + | 0.410425i | ||||
\(46\) | −3.44949 | − | 5.97469i | −0.508600 | − | 0.880920i | ||||
\(47\) | 0.778539 | + | 0.449490i | 0.113562 | + | 0.0655648i | 0.555705 | − | 0.831380i | \(-0.312448\pi\) |
−0.442143 | + | 0.896944i | \(0.645782\pi\) | |||||||
\(48\) | − | 2.44949i | − | 0.353553i | ||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −1.00000 | + | 4.89898i | −0.141421 | + | 0.692820i | ||||
\(51\) | −2.44949 | + | 4.24264i | −0.342997 | + | 0.594089i | ||||
\(52\) | −0.389270 | + | 0.224745i | −0.0539820 | + | 0.0311665i | ||||
\(53\) | 0.953512 | − | 0.550510i | 0.130975 | − | 0.0756184i | −0.433081 | − | 0.901355i | \(-0.642574\pi\) |
0.564056 | + | 0.825737i | \(0.309240\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.10102 | + | 10.8990i | −0.148462 | + | 1.46962i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 15.7980i | 2.09249i | ||||||||
\(58\) | 2.51059 | + | 1.44949i | 0.329657 | + | 0.190327i | ||||
\(59\) | −3.22474 | − | 5.58542i | −0.419826 | − | 0.727160i | 0.576096 | − | 0.817382i | \(-0.304576\pi\) |
−0.995922 | + | 0.0902223i | \(0.971242\pi\) | |||||||
\(60\) | 2.24799 | + | 4.99465i | 0.290214 | + | 0.644807i | ||||
\(61\) | −4.22474 | + | 7.31747i | −0.540923 | + | 0.936906i | 0.457928 | + | 0.888989i | \(0.348592\pi\) |
−0.998851 | + | 0.0479172i | \(0.984742\pi\) | |||||||
\(62\) | 0.898979i | 0.114171i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0.587486 | − | 0.815515i | 0.0728687 | − | 0.101152i | ||||
\(66\) | 6.00000 | + | 10.3923i | 0.738549 | + | 1.27920i | ||||
\(67\) | −6.92820 | + | 4.00000i | −0.846415 | + | 0.488678i | −0.859440 | − | 0.511237i | \(-0.829187\pi\) |
0.0130248 | + | 0.999915i | \(0.495854\pi\) | |||||||
\(68\) | 1.73205 | + | 1.00000i | 0.210042 | + | 0.121268i | ||||
\(69\) | 16.8990 | 2.03440 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.8990 | −1.29347 | −0.646735 | − | 0.762714i | \(-0.723866\pi\) | ||||
−0.646735 | + | 0.762714i | \(0.723866\pi\) | |||||||
\(72\) | 2.59808 | + | 1.50000i | 0.306186 | + | 0.176777i | ||||
\(73\) | 5.97469 | − | 3.44949i | 0.699285 | − | 0.403732i | −0.107796 | − | 0.994173i | \(-0.534379\pi\) |
0.807081 | + | 0.590441i | \(0.201046\pi\) | |||||||
\(74\) | −1.00000 | − | 1.73205i | −0.116248 | − | 0.201347i | ||||
\(75\) | −9.16756 | − | 8.12132i | −1.05858 | − | 0.937769i | ||||
\(76\) | 6.44949 | 0.739807 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 1.10102i | − | 0.124666i | ||||||
\(79\) | −1.44949 | + | 2.51059i | −0.163080 | + | 0.282463i | −0.935972 | − | 0.352075i | \(-0.885476\pi\) |
0.772892 | + | 0.634538i | \(0.218810\pi\) | |||||||
\(80\) | 2.03906 | − | 0.917738i | 0.227974 | − | 0.102606i | ||||
\(81\) | 4.50000 | + | 7.79423i | 0.500000 | + | 0.866025i | ||||
\(82\) | −9.43879 | − | 5.44949i | −1.04234 | − | 0.601795i | ||||
\(83\) | − | 2.44949i | − | 0.268866i | −0.990923 | − | 0.134433i | \(-0.957079\pi\) | ||
0.990923 | − | 0.134433i | \(-0.0429214\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.44949 | − | 0.449490i | −0.482615 | − | 0.0487540i | ||||
\(86\) | 4.44949 | − | 7.70674i | 0.479801 | − | 0.831039i | ||||
\(87\) | −6.14966 | + | 3.55051i | −0.659313 | + | 0.380655i | ||||
\(88\) | 4.24264 | − | 2.44949i | 0.452267 | − | 0.261116i | ||||
\(89\) | −5.00000 | + | 8.66025i | −0.529999 | + | 0.917985i | 0.469389 | + | 0.882992i | \(0.344474\pi\) |
−0.999388 | + | 0.0349934i | \(0.988859\pi\) | |||||||
\(90\) | −6.67423 | − | 0.674235i | −0.703526 | − | 0.0710706i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | − | 6.89898i | − | 0.719268i | ||||||
\(93\) | −1.90702 | − | 1.10102i | −0.197749 | − | 0.114171i | ||||
\(94\) | 0.449490 | + | 0.778539i | 0.0463613 | + | 0.0803002i | ||||
\(95\) | −13.1509 | + | 5.91894i | −1.34925 | + | 0.607270i | ||||
\(96\) | 1.22474 | − | 2.12132i | 0.125000 | − | 0.216506i | ||||
\(97\) | − | 3.79796i | − | 0.385624i | −0.981236 | − | 0.192812i | \(-0.938239\pi\) | ||
0.981236 | − | 0.192812i | \(-0.0617608\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −14.6969 | −1.47710 | ||||||||
\(100\) | −3.31552 | + | 3.74264i | −0.331552 | + | 0.374264i | ||||
\(101\) | −4.22474 | − | 7.31747i | −0.420378 | − | 0.728116i | 0.575599 | − | 0.817732i | \(-0.304769\pi\) |
−0.995976 | + | 0.0896167i | \(0.971436\pi\) | |||||||
\(102\) | −4.24264 | + | 2.44949i | −0.420084 | + | 0.242536i | ||||
\(103\) | 2.68556 | + | 1.55051i | 0.264616 | + | 0.152776i | 0.626439 | − | 0.779471i | \(-0.284512\pi\) |
−0.361822 | + | 0.932247i | \(0.617845\pi\) | |||||||
\(104\) | −0.449490 | −0.0440761 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.10102 | 0.106941 | ||||||||
\(107\) | 6.92820 | + | 4.00000i | 0.669775 | + | 0.386695i | 0.795991 | − | 0.605308i | \(-0.206950\pi\) |
−0.126217 | + | 0.992003i | \(0.540283\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.44949 | − | 2.51059i | −0.138836 | − | 0.240471i | 0.788220 | − | 0.615393i | \(-0.211003\pi\) |
−0.927056 | + | 0.374922i | \(0.877669\pi\) | |||||||
\(110\) | −6.40300 | + | 8.88828i | −0.610502 | + | 0.847465i | ||||
\(111\) | 4.89898 | 0.464991 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 0.202041i | − | 0.0190064i | −0.999955 | − | 0.00950321i | \(-0.996975\pi\) | ||
0.999955 | − | 0.00950321i | \(-0.00302501\pi\) | |||||||
\(114\) | −7.89898 | + | 13.6814i | −0.739807 | + | 1.28138i | ||||
\(115\) | 6.33145 | + | 14.0674i | 0.590411 | + | 1.31179i | ||||
\(116\) | 1.44949 | + | 2.51059i | 0.134582 | + | 0.233102i | ||||
\(117\) | 1.16781 | + | 0.674235i | 0.107964 | + | 0.0623330i | ||||
\(118\) | − | 6.44949i | − | 0.593724i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.550510 | + | 5.44949i | −0.0502545 | + | 0.497468i | ||||
\(121\) | −6.50000 | + | 11.2583i | −0.590909 | + | 1.02348i | ||||
\(122\) | −7.31747 | + | 4.22474i | −0.662493 | + | 0.382490i | ||||
\(123\) | 23.1202 | − | 13.3485i | 2.08468 | − | 1.20359i | ||||
\(124\) | −0.449490 | + | 0.778539i | −0.0403654 | + | 0.0699149i | ||||
\(125\) | 3.32577 | − | 10.6742i | 0.297465 | − | 0.954733i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 5.10102i | − | 0.452642i | −0.974053 | − | 0.226321i | \(-0.927330\pi\) | ||
0.974053 | − | 0.226321i | \(-0.0726699\pi\) | |||||||
\(128\) | −0.866025 | − | 0.500000i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 10.8990 | + | 18.8776i | 0.959602 | + | 1.66208i | ||||
\(130\) | 0.916536 | − | 0.412514i | 0.0803855 | − | 0.0361798i | ||||
\(131\) | 0.775255 | − | 1.34278i | 0.0677344 | − | 0.117319i | −0.830169 | − | 0.557511i | \(-0.811756\pi\) |
0.897904 | + | 0.440192i | \(0.145090\pi\) | |||||||
\(132\) | 12.0000i | 1.04447i | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −8.00000 | −0.691095 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.00000 | + | 1.73205i | 0.0857493 | + | 0.148522i | ||||
\(137\) | 15.4135 | − | 8.89898i | 1.31686 | − | 0.760291i | 0.333640 | − | 0.942700i | \(-0.391723\pi\) |
0.983223 | + | 0.182409i | \(0.0583896\pi\) | |||||||
\(138\) | 14.6349 | + | 8.44949i | 1.24581 | + | 0.719268i | ||||
\(139\) | −6.44949 | −0.547039 | −0.273519 | − | 0.961867i | \(-0.588188\pi\) | ||||
−0.273519 | + | 0.961867i | \(0.588188\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.20204 | −0.185445 | ||||||||
\(142\) | −9.43879 | − | 5.44949i | −0.792086 | − | 0.457311i | ||||
\(143\) | 1.90702 | − | 1.10102i | 0.159473 | − | 0.0920720i | ||||
\(144\) | 1.50000 | + | 2.59808i | 0.125000 | + | 0.216506i | ||||
\(145\) | −5.25966 | − | 3.78899i | −0.436791 | − | 0.314658i | ||||
\(146\) | 6.89898 | 0.570964 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 2.00000i | − | 0.164399i | ||||||
\(149\) | 7.89898 | − | 13.6814i | 0.647110 | − | 1.12083i | −0.336700 | − | 0.941612i | \(-0.609311\pi\) |
0.983810 | − | 0.179215i | \(-0.0573557\pi\) | |||||||
\(150\) | −3.87868 | − | 11.6170i | −0.316693 | − | 0.948528i | ||||
\(151\) | 9.79796 | + | 16.9706i | 0.797347 | + | 1.38104i | 0.921338 | + | 0.388762i | \(0.127097\pi\) |
−0.123992 | + | 0.992283i | \(0.539570\pi\) | |||||||
\(152\) | 5.58542 | + | 3.22474i | 0.453038 | + | 0.261561i | ||||
\(153\) | − | 6.00000i | − | 0.485071i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.202041 | − | 2.00000i | 0.0162283 | − | 0.160644i | ||||
\(156\) | 0.550510 | − | 0.953512i | 0.0440761 | − | 0.0763420i | ||||
\(157\) | 7.31747 | − | 4.22474i | 0.583998 | − | 0.337171i | −0.178723 | − | 0.983899i | \(-0.557196\pi\) |
0.762721 | + | 0.646728i | \(0.223863\pi\) | |||||||
\(158\) | −2.51059 | + | 1.44949i | −0.199732 | + | 0.115315i | ||||
\(159\) | −1.34847 | + | 2.33562i | −0.106941 | + | 0.185226i | ||||
\(160\) | 2.22474 | + | 0.224745i | 0.175882 | + | 0.0177676i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 9.00000i | 0.707107i | ||||||||
\(163\) | −14.6349 | − | 8.44949i | −1.14630 | − | 0.661815i | −0.198315 | − | 0.980138i | \(-0.563547\pi\) |
−0.947982 | + | 0.318323i | \(0.896880\pi\) | |||||||
\(164\) | −5.44949 | − | 9.43879i | −0.425534 | − | 0.737046i | ||||
\(165\) | −11.0129 | − | 24.4687i | −0.857349 | − | 1.90489i | ||||
\(166\) | 1.22474 | − | 2.12132i | 0.0950586 | − | 0.164646i | ||||
\(167\) | 4.89898i | 0.379094i | 0.981872 | + | 0.189547i | \(0.0607020\pi\) | ||||
−0.981872 | + | 0.189547i | \(0.939298\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.7980 | 0.984458 | ||||||||
\(170\) | −3.62863 | − | 2.61401i | −0.278303 | − | 0.200486i | ||||
\(171\) | −9.67423 | − | 16.7563i | −0.739807 | − | 1.28138i | ||||
\(172\) | 7.70674 | − | 4.44949i | 0.587634 | − | 0.339270i | ||||
\(173\) | 15.8028 | + | 9.12372i | 1.20146 | + | 0.693664i | 0.960880 | − | 0.276965i | \(-0.0893286\pi\) |
0.240581 | + | 0.970629i | \(0.422662\pi\) | |||||||
\(174\) | −7.10102 | −0.538327 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.89898 | 0.369274 | ||||||||
\(177\) | 13.6814 | + | 7.89898i | 1.02836 | + | 0.593724i | ||||
\(178\) | −8.66025 | + | 5.00000i | −0.649113 | + | 0.374766i | ||||
\(179\) | −2.89898 | − | 5.02118i | −0.216680 | − | 0.375301i | 0.737111 | − | 0.675772i | \(-0.236189\pi\) |
−0.953791 | + | 0.300471i | \(0.902856\pi\) | |||||||
\(180\) | −5.44294 | − | 3.92102i | −0.405693 | − | 0.292256i | ||||
\(181\) | 14.2474 | 1.05900 | 0.529502 | − | 0.848309i | \(-0.322379\pi\) | ||||
0.529502 | + | 0.848309i | \(0.322379\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 20.6969i | − | 1.52996i | ||||||
\(184\) | 3.44949 | − | 5.97469i | 0.254300 | − | 0.440460i | ||||
\(185\) | 1.83548 | + | 4.07812i | 0.134947 | + | 0.299829i | ||||
\(186\) | −1.10102 | − | 1.90702i | −0.0807307 | − | 0.139830i | ||||
\(187\) | −8.48528 | − | 4.89898i | −0.620505 | − | 0.358249i | ||||
\(188\) | 0.898979i | 0.0655648i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −14.3485 | − | 1.44949i | −1.04095 | − | 0.105157i | ||||
\(191\) | 8.34847 | − | 14.4600i | 0.604074 | − | 1.04629i | −0.388123 | − | 0.921608i | \(-0.626876\pi\) |
0.992197 | − | 0.124679i | \(-0.0397902\pi\) | |||||||
\(192\) | 2.12132 | − | 1.22474i | 0.153093 | − | 0.0883883i | ||||
\(193\) | −15.2385 | + | 8.79796i | −1.09689 | + | 0.633291i | −0.935403 | − | 0.353584i | \(-0.884963\pi\) |
−0.161489 | + | 0.986874i | \(0.551630\pi\) | |||||||
\(194\) | 1.89898 | − | 3.28913i | 0.136339 | − | 0.236146i | ||||
\(195\) | −0.247449 | + | 2.44949i | −0.0177202 | + | 0.175412i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.10102i | 0.648421i | 0.945985 | + | 0.324210i | \(0.105099\pi\) | ||||
−0.945985 | + | 0.324210i | \(0.894901\pi\) | |||||||
\(198\) | −12.7279 | − | 7.34847i | −0.904534 | − | 0.522233i | ||||
\(199\) | 3.55051 | + | 6.14966i | 0.251689 | + | 0.435938i | 0.963991 | − | 0.265935i | \(-0.0856807\pi\) |
−0.712302 | + | 0.701873i | \(0.752347\pi\) | |||||||
\(200\) | −4.74264 | + | 1.58346i | −0.335355 | + | 0.111968i | ||||
\(201\) | 9.79796 | − | 16.9706i | 0.691095 | − | 1.19701i | ||||
\(202\) | − | 8.44949i | − | 0.594504i | ||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.89898 | −0.342997 | ||||||||
\(205\) | 19.7742 | + | 14.2450i | 1.38109 | + | 0.994917i | ||||
\(206\) | 1.55051 | + | 2.68556i | 0.108029 | + | 0.187112i | ||||
\(207\) | −17.9241 | + | 10.3485i | −1.24581 | + | 0.719268i | ||||
\(208\) | −0.389270 | − | 0.224745i | −0.0269910 | − | 0.0155833i | ||||
\(209\) | −31.5959 | −2.18554 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0000 | 0.826114 | 0.413057 | − | 0.910705i | \(-0.364461\pi\) | ||||
0.413057 | + | 0.910705i | \(0.364461\pi\) | |||||||
\(212\) | 0.953512 | + | 0.550510i | 0.0654875 | + | 0.0378092i | ||||
\(213\) | 23.1202 | − | 13.3485i | 1.58417 | − | 0.914622i | ||||
\(214\) | 4.00000 | + | 6.92820i | 0.273434 | + | 0.473602i | ||||
\(215\) | −11.6310 | + | 16.1455i | −0.793230 | + | 1.10112i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 2.89898i | − | 0.196344i | ||||||
\(219\) | −8.44949 | + | 14.6349i | −0.570964 | + | 0.988938i | ||||
\(220\) | −9.98930 | + | 4.49598i | −0.673479 | + | 0.303119i | ||||
\(221\) | 0.449490 | + | 0.778539i | 0.0302360 | + | 0.0523702i | ||||
\(222\) | 4.24264 | + | 2.44949i | 0.284747 | + | 0.164399i | ||||
\(223\) | 4.00000i | 0.267860i | 0.990991 | + | 0.133930i | \(0.0427597\pi\) | ||||
−0.990991 | + | 0.133930i | \(0.957240\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 14.6969 | + | 3.00000i | 0.979796 | + | 0.200000i | ||||
\(226\) | 0.101021 | − | 0.174973i | 0.00671978 | − | 0.0116390i | ||||
\(227\) | −6.36396 | + | 3.67423i | −0.422391 | + | 0.243868i | −0.696100 | − | 0.717945i | \(-0.745083\pi\) |
0.273709 | + | 0.961813i | \(0.411750\pi\) | |||||||
\(228\) | −13.6814 | + | 7.89898i | −0.906075 | + | 0.523123i | ||||
\(229\) | 7.57321 | − | 13.1172i | 0.500452 | − | 0.866808i | −0.499548 | − | 0.866286i | \(-0.666500\pi\) |
1.00000 | 0.000522089i | \(-0.000166186\pi\) | ||||||||
\(230\) | −1.55051 | + | 15.3485i | −0.102238 | + | 1.01205i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.89898i | 0.190327i | ||||||||
\(233\) | 8.83523 | + | 5.10102i | 0.578815 | + | 0.334179i | 0.760662 | − | 0.649148i | \(-0.224874\pi\) |
−0.181847 | + | 0.983327i | \(0.558208\pi\) | |||||||
\(234\) | 0.674235 | + | 1.16781i | 0.0440761 | + | 0.0763420i | ||||
\(235\) | −0.825027 | − | 1.83307i | −0.0538188 | − | 0.119576i | ||||
\(236\) | 3.22474 | − | 5.58542i | 0.209913 | − | 0.363580i | ||||
\(237\) | − | 7.10102i | − | 0.461261i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 25.7980 | 1.66873 | 0.834366 | − | 0.551211i | \(-0.185834\pi\) | ||||
0.834366 | + | 0.551211i | \(0.185834\pi\) | |||||||
\(240\) | −3.20150 | + | 4.44414i | −0.206656 | + | 0.286868i | ||||
\(241\) | −10.3485 | − | 17.9241i | −0.666604 | − | 1.15459i | −0.978848 | − | 0.204589i | \(-0.934414\pi\) |
0.312244 | − | 0.950002i | \(-0.398919\pi\) | |||||||
\(242\) | −11.2583 | + | 6.50000i | −0.723713 | + | 0.417836i | ||||
\(243\) | −19.0919 | − | 11.0227i | −1.22474 | − | 0.707107i | ||||
\(244\) | −8.44949 | −0.540923 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 26.6969 | 1.70213 | ||||||||
\(247\) | 2.51059 | + | 1.44949i | 0.159745 | + | 0.0922288i | ||||
\(248\) | −0.778539 | + | 0.449490i | −0.0494373 | + | 0.0285426i | ||||
\(249\) | 3.00000 | + | 5.19615i | 0.190117 | + | 0.329293i | ||||
\(250\) | 8.21731 | − | 7.58128i | 0.519709 | − | 0.479482i | ||||
\(251\) | −1.55051 | −0.0978673 | −0.0489337 | − | 0.998802i | \(-0.515582\pi\) | ||||
−0.0489337 | + | 0.998802i | \(0.515582\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 33.7980i | 2.12486i | ||||||||
\(254\) | 2.55051 | − | 4.41761i | 0.160033 | − | 0.277186i | ||||
\(255\) | 9.98930 | − | 4.49598i | 0.625554 | − | 0.281549i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −17.9241 | − | 10.3485i | −1.11807 | − | 0.645520i | −0.177165 | − | 0.984181i | \(-0.556693\pi\) |
−0.940908 | + | 0.338661i | \(0.890026\pi\) | |||||||
\(258\) | 21.7980i | 1.35708i | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1.00000 | + | 0.101021i | 0.0620174 | + | 0.00626503i | ||||
\(261\) | 4.34847 | − | 7.53177i | 0.269163 | − | 0.466205i | ||||
\(262\) | 1.34278 | − | 0.775255i | 0.0829573 | − | 0.0478954i | ||||
\(263\) | 8.48528 | − | 4.89898i | 0.523225 | − | 0.302084i | −0.215028 | − | 0.976608i | \(-0.568984\pi\) |
0.738253 | + | 0.674524i | \(0.235651\pi\) | |||||||
\(264\) | −6.00000 | + | 10.3923i | −0.369274 | + | 0.639602i | ||||
\(265\) | −2.44949 | − | 0.247449i | −0.150471 | − | 0.0152007i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | − | 24.4949i | − | 1.49906i | ||||||
\(268\) | −6.92820 | − | 4.00000i | −0.423207 | − | 0.244339i | ||||
\(269\) | −7.57321 | − | 13.1172i | −0.461747 | − | 0.799769i | 0.537301 | − | 0.843390i | \(-0.319444\pi\) |
−0.999048 | + | 0.0436212i | \(0.986111\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.00000 | + | 10.3923i | −0.364474 | + | 0.631288i | −0.988692 | − | 0.149963i | \(-0.952085\pi\) |
0.624218 | + | 0.781251i | \(0.285418\pi\) | |||||||
\(272\) | 2.00000i | 0.121268i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 17.7980 | 1.07521 | ||||||||
\(275\) | 16.2426 | − | 18.3351i | 0.979468 | − | 1.10565i | ||||
\(276\) | 8.44949 | + | 14.6349i | 0.508600 | + | 0.880920i | ||||
\(277\) | −4.41761 | + | 2.55051i | −0.265429 | + | 0.153245i | −0.626808 | − | 0.779173i | \(-0.715639\pi\) |
0.361380 | + | 0.932419i | \(0.382306\pi\) | |||||||
\(278\) | −5.58542 | − | 3.22474i | −0.334991 | − | 0.193407i | ||||
\(279\) | 2.69694 | 0.161461 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −18.0000 | −1.07379 | −0.536895 | − | 0.843649i | \(-0.680403\pi\) | ||||
−0.536895 | + | 0.843649i | \(0.680403\pi\) | |||||||
\(282\) | −1.90702 | − | 1.10102i | −0.113562 | − | 0.0655648i | ||||
\(283\) | −24.4630 | + | 14.1237i | −1.45417 | + | 0.839568i | −0.998715 | − | 0.0506878i | \(-0.983859\pi\) |
−0.455460 | + | 0.890256i | \(0.650525\pi\) | |||||||
\(284\) | −5.44949 | − | 9.43879i | −0.323368 | − | 0.560089i | ||||
\(285\) | 20.6480 | − | 28.6624i | 1.22308 | − | 1.69782i | ||||
\(286\) | 2.20204 | 0.130209 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 3.00000i | 0.176777i | ||||||||
\(289\) | −6.50000 | + | 11.2583i | −0.382353 | + | 0.662255i | ||||
\(290\) | −2.66050 | − | 5.91119i | −0.156230 | − | 0.347117i | ||||
\(291\) | 4.65153 | + | 8.05669i | 0.272678 | + | 0.472291i | ||||
\(292\) | 5.97469 | + | 3.44949i | 0.349642 | + | 0.201866i | ||||
\(293\) | 6.24745i | 0.364980i | 0.983208 | + | 0.182490i | \(0.0584157\pi\) | ||||
−0.983208 | + | 0.182490i | \(0.941584\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.44949 | + | 14.3485i | −0.0843926 | + | 0.835400i | ||||
\(296\) | 1.00000 | − | 1.73205i | 0.0581238 | − | 0.100673i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 13.6814 | − | 7.89898i | 0.792544 | − | 0.457576i | ||||
\(299\) | 1.55051 | − | 2.68556i | 0.0896683 | − | 0.155310i | ||||
\(300\) | 2.44949 | − | 12.0000i | 0.141421 | − | 0.692820i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 19.5959i | 1.12762i | ||||||||
\(303\) | 17.9241 | + | 10.3485i | 1.02971 | + | 0.594504i | ||||
\(304\) | 3.22474 | + | 5.58542i | 0.184952 | + | 0.320346i | ||||
\(305\) | 17.2290 | − | 7.75442i | 0.986530 | − | 0.444017i | ||||
\(306\) | 3.00000 | − | 5.19615i | 0.171499 | − | 0.297044i | ||||
\(307\) | 4.24745i | 0.242415i | 0.992627 | + | 0.121207i | \(0.0386766\pi\) | ||||
−0.992627 | + | 0.121207i | \(0.961323\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.59592 | −0.432117 | ||||||||
\(310\) | 1.17497 | − | 1.63103i | 0.0667340 | − | 0.0926363i | ||||
\(311\) | −6.00000 | − | 10.3923i | −0.340229 | − | 0.589294i | 0.644246 | − | 0.764818i | \(-0.277171\pi\) |
−0.984475 | + | 0.175525i | \(0.943838\pi\) | |||||||
\(312\) | 0.953512 | − | 0.550510i | 0.0539820 | − | 0.0311665i | ||||
\(313\) | 15.2385 | + | 8.79796i | 0.861332 | + | 0.497290i | 0.864458 | − | 0.502705i | \(-0.167662\pi\) |
−0.00312637 | + | 0.999995i | \(0.500995\pi\) | |||||||
\(314\) | 8.44949 | 0.476832 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.89898 | −0.163080 | ||||||||
\(317\) | −22.9453 | − | 13.2474i | −1.28873 | − | 0.744051i | −0.310305 | − | 0.950637i | \(-0.600431\pi\) |
−0.978428 | + | 0.206586i | \(0.933765\pi\) | |||||||
\(318\) | −2.33562 | + | 1.34847i | −0.130975 | + | 0.0756184i | ||||
\(319\) | −7.10102 | − | 12.2993i | −0.397581 | − | 0.688630i | ||||
\(320\) | 1.81431 | + | 1.30701i | 0.101423 | + | 0.0730639i | ||||
\(321\) | −19.5959 | −1.09374 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 12.8990i | − | 0.717718i | ||||||
\(324\) | −4.50000 | + | 7.79423i | −0.250000 | + | 0.433013i | ||||
\(325\) | −2.13177 | + | 0.711751i | −0.118249 | + | 0.0394808i | ||||
\(326\) | −8.44949 | − | 14.6349i | −0.467974 | − | 0.810555i | ||||
\(327\) | 6.14966 | + | 3.55051i | 0.340077 | + | 0.196344i | ||||
\(328\) | − | 10.8990i | − | 0.601795i | ||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 2.69694 | − | 26.6969i | 0.148462 | − | 1.46962i | ||||
\(331\) | −5.34847 | + | 9.26382i | −0.293978 | + | 0.509186i | −0.974747 | − | 0.223313i | \(-0.928313\pi\) |
0.680768 | + | 0.732499i | \(0.261646\pi\) | |||||||
\(332\) | 2.12132 | − | 1.22474i | 0.116423 | − | 0.0672166i | ||||
\(333\) | −5.19615 | + | 3.00000i | −0.284747 | + | 0.164399i | ||||
\(334\) | −2.44949 | + | 4.24264i | −0.134030 | + | 0.232147i | ||||
\(335\) | 17.7980 | + | 1.79796i | 0.972406 | + | 0.0982330i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 29.5959i | − | 1.61219i | −0.591785 | − | 0.806096i | \(-0.701576\pi\) | ||
0.591785 | − | 0.806096i | \(-0.298424\pi\) | |||||||
\(338\) | 11.0834 | + | 6.39898i | 0.602855 | + | 0.348059i | ||||
\(339\) | 0.247449 | + | 0.428594i | 0.0134396 | + | 0.0232780i | ||||
\(340\) | −1.83548 | − | 4.07812i | −0.0995426 | − | 0.221167i | ||||
\(341\) | 2.20204 | − | 3.81405i | 0.119247 | − | 0.206542i | ||||
\(342\) | − | 19.3485i | − | 1.04625i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 8.89898 | 0.479801 | ||||||||
\(345\) | −30.6600 | − | 22.0871i | −1.65068 | − | 1.18913i | ||||
\(346\) | 9.12372 | + | 15.8028i | 0.490494 | + | 0.849561i | ||||
\(347\) | 16.5420 | − | 9.55051i | 0.888019 | − | 0.512698i | 0.0147253 | − | 0.999892i | \(-0.495313\pi\) |
0.873294 | + | 0.487193i | \(0.161979\pi\) | |||||||
\(348\) | −6.14966 | − | 3.55051i | −0.329657 | − | 0.190327i | ||||
\(349\) | 3.55051 | 0.190054 | 0.0950272 | − | 0.995475i | \(-0.469706\pi\) | ||||
0.0950272 | + | 0.995475i | \(0.469706\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 4.24264 | + | 2.44949i | 0.226134 | + | 0.130558i | ||||
\(353\) | −11.3458 | + | 6.55051i | −0.603877 | + | 0.348648i | −0.770565 | − | 0.637361i | \(-0.780026\pi\) |
0.166688 | + | 0.986010i | \(0.446693\pi\) | |||||||
\(354\) | 7.89898 | + | 13.6814i | 0.419826 | + | 0.727160i | ||||
\(355\) | 19.7742 | + | 14.2450i | 1.04950 | + | 0.756048i | ||||
\(356\) | −10.0000 | −0.529999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 5.79796i | − | 0.306432i | ||||||
\(359\) | 5.79796 | − | 10.0424i | 0.306005 | − | 0.530015i | −0.671480 | − | 0.741023i | \(-0.734341\pi\) |
0.977484 | + | 0.211007i | \(0.0676744\pi\) | |||||||
\(360\) | −2.75321 | − | 6.11717i | −0.145107 | − | 0.322403i | ||||
\(361\) | −11.2980 | − | 19.5686i | −0.594629 | − | 1.02993i | ||||
\(362\) | 12.3387 | + | 7.12372i | 0.648505 | + | 0.374415i | ||||
\(363\) | − | 31.8434i | − | 1.67134i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −15.3485 | − | 1.55051i | −0.803376 | − | 0.0811574i | ||||
\(366\) | 10.3485 | − | 17.9241i | 0.540923 | − | 0.936906i | ||||
\(367\) | 27.7128 | − | 16.0000i | 1.44660 | − | 0.835193i | 0.448320 | − | 0.893873i | \(-0.352022\pi\) |
0.998277 | + | 0.0586798i | \(0.0186891\pi\) | |||||||
\(368\) | 5.97469 | − | 3.44949i | 0.311452 | − | 0.179817i | ||||
\(369\) | −16.3485 | + | 28.3164i | −0.851067 | + | 1.47409i | ||||
\(370\) | −0.449490 | + | 4.44949i | −0.0233679 | + | 0.231318i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | − | 2.20204i | − | 0.114171i | ||||||
\(373\) | 21.3882 | + | 12.3485i | 1.10744 | + | 0.639380i | 0.938165 | − | 0.346190i | \(-0.112525\pi\) |
0.169273 | + | 0.985569i | \(0.445858\pi\) | |||||||
\(374\) | −4.89898 | − | 8.48528i | −0.253320 | − | 0.438763i | ||||
\(375\) | 6.01820 | + | 26.7167i | 0.310779 | + | 1.37964i | ||||
\(376\) | −0.449490 | + | 0.778539i | −0.0231807 | + | 0.0401501i | ||||
\(377\) | 1.30306i | 0.0671111i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.30306 | −0.0669338 | −0.0334669 | − | 0.999440i | \(-0.510655\pi\) | ||||
−0.0334669 | + | 0.999440i | \(0.510655\pi\) | |||||||
\(380\) | −11.7014 | − | 8.42953i | −0.600269 | − | 0.432426i | ||||
\(381\) | 6.24745 | + | 10.8209i | 0.320066 | + | 0.554371i | ||||
\(382\) | 14.4600 | − | 8.34847i | 0.739837 | − | 0.427145i | ||||
\(383\) | −14.6349 | − | 8.44949i | −0.747811 | − | 0.431749i | 0.0770916 | − | 0.997024i | \(-0.475437\pi\) |
−0.824902 | + | 0.565275i | \(0.808770\pi\) | |||||||
\(384\) | 2.44949 | 0.125000 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −17.5959 | −0.895609 | ||||||||
\(387\) | −23.1202 | − | 13.3485i | −1.17527 | − | 0.678541i | ||||
\(388\) | 3.28913 | − | 1.89898i | 0.166980 | − | 0.0964061i | ||||
\(389\) | 11.4495 | + | 19.8311i | 0.580512 | + | 1.00548i | 0.995419 | + | 0.0956125i | \(0.0304810\pi\) |
−0.414906 | + | 0.909864i | \(0.636186\pi\) | |||||||
\(390\) | −1.43904 | + | 1.99760i | −0.0728687 | + | 0.101152i | ||||
\(391\) | −13.7980 | −0.697793 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 3.79796i | 0.191582i | ||||||||
\(394\) | −4.55051 | + | 7.88171i | −0.229251 | + | 0.397075i | ||||
\(395\) | 5.91119 | − | 2.66050i | 0.297424 | − | 0.133864i | ||||
\(396\) | −7.34847 | − | 12.7279i | −0.369274 | − | 0.639602i | ||||
\(397\) | 15.0242 | + | 8.67423i | 0.754044 | + | 0.435347i | 0.827153 | − | 0.561977i | \(-0.189959\pi\) |
−0.0731094 | + | 0.997324i | \(0.523292\pi\) | |||||||
\(398\) | 7.10102i | 0.355942i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.89898 | − | 1.00000i | −0.244949 | − | 0.0500000i | ||||
\(401\) | −14.6969 | + | 25.4558i | −0.733930 | + | 1.27120i | 0.221261 | + | 0.975215i | \(0.428983\pi\) |
−0.955191 | + | 0.295990i | \(0.904351\pi\) | |||||||
\(402\) | 16.9706 | − | 9.79796i | 0.846415 | − | 0.488678i | ||||
\(403\) | −0.349945 | + | 0.202041i | −0.0174320 | + | 0.0100644i | ||||
\(404\) | 4.22474 | − | 7.31747i | 0.210189 | − | 0.364058i | ||||
\(405\) | 2.02270 | − | 20.0227i | 0.100509 | − | 0.994936i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.79796i | 0.485667i | ||||||||
\(408\) | −4.24264 | − | 2.44949i | −0.210042 | − | 0.121268i | ||||
\(409\) | −7.24745 | − | 12.5529i | −0.358363 | − | 0.620703i | 0.629324 | − | 0.777143i | \(-0.283332\pi\) |
−0.987688 | + | 0.156439i | \(0.949998\pi\) | |||||||
\(410\) | 10.0024 | + | 22.2237i | 0.493984 | + | 1.09755i | ||||
\(411\) | −21.7980 | + | 37.7552i | −1.07521 | + | 1.86233i | ||||
\(412\) | 3.10102i | 0.152776i | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −20.6969 | −1.01720 | ||||||||
\(415\) | −3.20150 | + | 4.44414i | −0.157155 | + | 0.218154i | ||||
\(416\) | −0.224745 | − | 0.389270i | −0.0110190 | − | 0.0190855i | ||||
\(417\) | 13.6814 | − | 7.89898i | 0.669983 | − | 0.386815i | ||||
\(418\) | −27.3629 | − | 15.7980i | −1.33836 | − | 0.772703i | ||||
\(419\) | 6.44949 | 0.315078 | 0.157539 | − | 0.987513i | \(-0.449644\pi\) | ||||
0.157539 | + | 0.987513i | \(0.449644\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −23.7980 | −1.15984 | −0.579921 | − | 0.814673i | \(-0.696917\pi\) | ||||
−0.579921 | + | 0.814673i | \(0.696917\pi\) | |||||||
\(422\) | 10.3923 | + | 6.00000i | 0.505889 | + | 0.292075i | ||||
\(423\) | 2.33562 | − | 1.34847i | 0.113562 | − | 0.0655648i | ||||
\(424\) | 0.550510 | + | 0.953512i | 0.0267351 | + | 0.0463066i | ||||
\(425\) | 7.48528 | + | 6.63103i | 0.363089 | + | 0.321652i | ||||
\(426\) | 26.6969 | 1.29347 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 8.00000i | 0.386695i | ||||||||
\(429\) | −2.69694 | + | 4.67123i | −0.130209 | + | 0.225529i | ||||
\(430\) | −18.1455 | + | 8.16693i | −0.875055 | + | 0.393844i | ||||
\(431\) | −8.89898 | − | 15.4135i | −0.428649 | − | 0.742441i | 0.568105 | − | 0.822956i | \(-0.307677\pi\) |
−0.996753 | + | 0.0805149i | \(0.974344\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 19.7980i | 0.951429i | 0.879600 | + | 0.475715i | \(0.157810\pi\) | ||||
−0.879600 | + | 0.475715i | \(0.842190\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 15.7980 | + | 1.59592i | 0.757454 | + | 0.0765184i | ||||
\(436\) | 1.44949 | − | 2.51059i | 0.0694180 | − | 0.120235i | ||||
\(437\) | −38.5337 | + | 22.2474i | −1.84332 | + | 1.06424i | ||||
\(438\) | −14.6349 | + | 8.44949i | −0.699285 | + | 0.403732i | ||||
\(439\) | 18.6969 | − | 32.3840i | 0.892356 | − | 1.54561i | 0.0553132 | − | 0.998469i | \(-0.482384\pi\) |
0.837043 | − | 0.547137i | \(-0.184282\pi\) | |||||||
\(440\) | −10.8990 | − | 1.10102i | −0.519588 | − | 0.0524891i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.898979i | 0.0427601i | ||||||||
\(443\) | −8.48528 | − | 4.89898i | −0.403148 | − | 0.232758i | 0.284693 | − | 0.958619i | \(-0.408108\pi\) |
−0.687841 | + | 0.725861i | \(0.741442\pi\) | |||||||
\(444\) | 2.44949 | + | 4.24264i | 0.116248 | + | 0.201347i | ||||
\(445\) | 20.3906 | − | 9.17738i | 0.966606 | − | 0.435049i | ||||
\(446\) | −2.00000 | + | 3.46410i | −0.0947027 | + | 0.164030i | ||||
\(447\) | 38.6969i | 1.83030i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 10.0000 | 0.471929 | 0.235965 | − | 0.971762i | \(-0.424175\pi\) | ||||
0.235965 | + | 0.971762i | \(0.424175\pi\) | |||||||
\(450\) | 11.2279 | + | 9.94655i | 0.529289 | + | 0.468885i | ||||
\(451\) | 26.6969 | + | 46.2405i | 1.25711 | + | 2.17738i | ||||
\(452\) | 0.174973 | − | 0.101021i | 0.00823002 | − | 0.00475161i | ||||
\(453\) | −41.5692 | − | 24.0000i | −1.95309 | − | 1.12762i | ||||
\(454\) | −7.34847 | −0.344881 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −15.7980 | −0.739807 | ||||||||
\(457\) | 8.31031 | + | 4.79796i | 0.388740 | + | 0.224439i | 0.681614 | − | 0.731712i | \(-0.261278\pi\) |
−0.292874 | + | 0.956151i | \(0.594612\pi\) | |||||||
\(458\) | 13.1172 | − | 7.57321i | 0.612926 | − | 0.353873i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −9.01702 | + | 12.5169i | −0.420421 | + | 0.583604i | ||||
\(461\) | 2.65153 | 0.123494 | 0.0617470 | − | 0.998092i | \(-0.480333\pi\) | ||||
0.0617470 | + | 0.998092i | \(0.480333\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 35.5959i | 1.65428i | 0.561994 | + | 0.827141i | \(0.310034\pi\) | ||||
−0.561994 | + | 0.827141i | \(0.689966\pi\) | |||||||
\(464\) | −1.44949 | + | 2.51059i | −0.0672909 | + | 0.116551i | ||||
\(465\) | 2.02090 | + | 4.49009i | 0.0937168 | + | 0.208223i | ||||
\(466\) | 5.10102 | + | 8.83523i | 0.236300 | + | 0.409284i | ||||
\(467\) | −4.80688 | − | 2.77526i | −0.222436 | − | 0.128423i | 0.384642 | − | 0.923066i | \(-0.374325\pi\) |
−0.607078 | + | 0.794642i | \(0.707658\pi\) | |||||||
\(468\) | 1.34847i | 0.0623330i | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0.202041 | − | 2.00000i | 0.00931946 | − | 0.0922531i | ||||
\(471\) | −10.3485 | + | 17.9241i | −0.476832 | + | 0.825898i | ||||
\(472\) | 5.58542 | − | 3.22474i | 0.257090 | − | 0.148431i | ||||
\(473\) | −37.7552 | + | 21.7980i | −1.73598 | + | 1.00227i | ||||
\(474\) | 3.55051 | − | 6.14966i | 0.163080 | − | 0.282463i | ||||
\(475\) | 31.5959 | + | 6.44949i | 1.44972 | + | 0.295923i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 3.30306i | − | 0.151237i | ||||||
\(478\) | 22.3417 | + | 12.8990i | 1.02189 | + | 0.589986i | ||||
\(479\) | 19.3485 | + | 33.5125i | 0.884054 | + | 1.53123i | 0.846794 | + | 0.531921i | \(0.178530\pi\) |
0.0372602 | + | 0.999306i | \(0.488137\pi\) | |||||||
\(480\) | −4.99465 | + | 2.24799i | −0.227974 | + | 0.102606i | ||||
\(481\) | 0.449490 | − | 0.778539i | 0.0204950 | − | 0.0354983i | ||||
\(482\) | − | 20.6969i | − | 0.942720i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −13.0000 | −0.590909 | ||||||||
\(485\) | −4.96396 | + | 6.89069i | −0.225402 | + | 0.312890i | ||||
\(486\) | −11.0227 | − | 19.0919i | −0.500000 | − | 0.866025i | ||||
\(487\) | −31.7805 | + | 18.3485i | −1.44011 | + | 0.831449i | −0.997856 | − | 0.0654410i | \(-0.979155\pi\) |
−0.442255 | + | 0.896890i | \(0.645821\pi\) | |||||||
\(488\) | −7.31747 | − | 4.22474i | −0.331246 | − | 0.191245i | ||||
\(489\) | 41.3939 | 1.87190 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −19.5959 | −0.884351 | −0.442176 | − | 0.896928i | \(-0.645793\pi\) | ||||
−0.442176 | + | 0.896928i | \(0.645793\pi\) | |||||||
\(492\) | 23.1202 | + | 13.3485i | 1.04234 | + | 0.601795i | ||||
\(493\) | 5.02118 | − | 2.89898i | 0.226143 | − | 0.130563i | ||||
\(494\) | 1.44949 | + | 2.51059i | 0.0652156 | + | 0.112957i | ||||
\(495\) | 26.6648 | + | 19.2090i | 1.19850 | + | 0.863381i | ||||
\(496\) | −0.898979 | −0.0403654 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 6.00000i | 0.268866i | ||||||||
\(499\) | 12.8990 | − | 22.3417i | 0.577438 | − | 1.00015i | −0.418334 | − | 0.908293i | \(-0.637386\pi\) |
0.995772 | − | 0.0918583i | \(-0.0292807\pi\) | |||||||
\(500\) | 10.9070 | − | 2.45692i | 0.487778 | − | 0.109877i | ||||
\(501\) | −6.00000 | − | 10.3923i | −0.268060 | − | 0.464294i | ||||
\(502\) | −1.34278 | − | 0.775255i | −0.0599313 | − | 0.0346013i | ||||
\(503\) | 4.00000i | 0.178351i | 0.996016 | + | 0.0891756i | \(0.0284232\pi\) | ||||
−0.996016 | + | 0.0891756i | \(0.971577\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −1.89898 | + | 18.7980i | −0.0845035 | + | 0.836498i | ||||
\(506\) | −16.8990 | + | 29.2699i | −0.751251 | + | 1.30121i | ||||
\(507\) | −27.1486 | + | 15.6742i | −1.20571 | + | 0.696117i | ||||
\(508\) | 4.41761 | − | 2.55051i | 0.196000 | − | 0.113161i | ||||
\(509\) | −18.2247 | + | 31.5662i | −0.807798 | + | 1.39915i | 0.106588 | + | 0.994303i | \(0.466007\pi\) |
−0.914386 | + | 0.404843i | \(0.867326\pi\) | |||||||
\(510\) | 10.8990 | + | 1.10102i | 0.482615 | + | 0.0487540i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −10.3485 | − | 17.9241i | −0.456451 | − | 0.790597i | ||||
\(515\) | −2.84592 | − | 6.32316i | −0.125406 | − | 0.278632i | ||||
\(516\) | −10.8990 | + | 18.8776i | −0.479801 | + | 0.831039i | ||||
\(517\) | − | 4.40408i | − | 0.193691i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −44.6969 | −1.96198 | ||||||||
\(520\) | 0.815515 | + | 0.587486i | 0.0357627 | + | 0.0257630i | ||||
\(521\) | −1.65153 | − | 2.86054i | −0.0723549 | − | 0.125322i | 0.827578 | − | 0.561351i | \(-0.189718\pi\) |
−0.899933 | + | 0.436028i | \(0.856385\pi\) | |||||||
\(522\) | 7.53177 | − | 4.34847i | 0.329657 | − | 0.190327i | ||||
\(523\) | 0.992836 | + | 0.573214i | 0.0434137 | + | 0.0250649i | 0.521550 | − | 0.853221i | \(-0.325354\pi\) |
−0.478136 | + | 0.878286i | \(0.658687\pi\) | |||||||
\(524\) | 1.55051 | 0.0677344 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.79796 | 0.427211 | ||||||||
\(527\) | 1.55708 | + | 0.898979i | 0.0678274 | + | 0.0391602i | ||||
\(528\) | −10.3923 | + | 6.00000i | −0.452267 | + | 0.261116i | ||||
\(529\) | 12.2980 | + | 21.3007i | 0.534694 | + | 0.926117i | ||||
\(530\) | −1.99760 | − | 1.43904i | −0.0867700 | − | 0.0625080i | ||||
\(531\) | −19.3485 | −0.839652 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 4.89898i | − | 0.212198i | ||||||
\(534\) | 12.2474 | − | 21.2132i | 0.529999 | − | 0.917985i | ||||
\(535\) | −7.34190 | − | 16.3125i | −0.317418 | − | 0.705249i | ||||
\(536\) | −4.00000 | − | 6.92820i | −0.172774 | − | 0.299253i | ||||
\(537\) | 12.2993 | + | 7.10102i | 0.530755 | + | 0.306432i | ||||
\(538\) | − | 15.1464i | − | 0.653009i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.7980 | − | 25.6308i | 0.636214 | − | 1.10195i | −0.350043 | − | 0.936734i | \(-0.613833\pi\) |
0.986257 | − | 0.165221i | \(-0.0528338\pi\) | |||||||
\(542\) | −10.3923 | + | 6.00000i | −0.446388 | + | 0.257722i | ||||
\(543\) | −30.2234 | + | 17.4495i | −1.29701 | + | 0.748829i | ||||
\(544\) | −1.00000 | + | 1.73205i | −0.0428746 | + | 0.0742611i | ||||
\(545\) | −0.651531 | + | 6.44949i | −0.0279085 | + | 0.276266i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.6969i | 0.457368i | 0.973501 | + | 0.228684i | \(0.0734423\pi\) | ||||
−0.973501 | + | 0.228684i | \(0.926558\pi\) | |||||||
\(548\) | 15.4135 | + | 8.89898i | 0.658431 | + | 0.380146i | ||||
\(549\) | 12.6742 | + | 21.9524i | 0.540923 | + | 0.936906i | ||||
\(550\) | 23.2341 | − | 7.75736i | 0.990705 | − | 0.330775i | ||||
\(551\) | 9.34847 | − | 16.1920i | 0.398258 | − | 0.689803i | ||||
\(552\) | 16.8990i | 0.719268i | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −5.10102 | −0.216722 | ||||||||
\(555\) | −8.88828 | − | 6.40300i | −0.377287 | − | 0.271792i | ||||
\(556\) | −3.22474 | − | 5.58542i | −0.136760 | − | 0.236875i | ||||
\(557\) | −14.4600 | + | 8.34847i | −0.612689 | + | 0.353736i | −0.774017 | − | 0.633165i | \(-0.781756\pi\) |
0.161328 | + | 0.986901i | \(0.448422\pi\) | |||||||
\(558\) | 2.33562 | + | 1.34847i | 0.0988746 | + | 0.0570853i | ||||
\(559\) | 4.00000 | 0.169182 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 24.0000 | 1.01328 | ||||||||
\(562\) | −15.5885 | − | 9.00000i | −0.657559 | − | 0.379642i | ||||
\(563\) | −12.1637 | + | 7.02270i | −0.512638 | + | 0.295972i | −0.733917 | − | 0.679239i | \(-0.762310\pi\) |
0.221279 | + | 0.975210i | \(0.428977\pi\) | |||||||
\(564\) | −1.10102 | − | 1.90702i | −0.0463613 | − | 0.0803002i | ||||
\(565\) | −0.264069 | + | 0.366566i | −0.0111095 | + | 0.0154215i | ||||
\(566\) | −28.2474 | −1.18733 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 10.8990i | − | 0.457311i | ||||||
\(569\) | 7.10102 | − | 12.2993i | 0.297690 | − | 0.515615i | −0.677917 | − | 0.735139i | \(-0.737117\pi\) |
0.975607 | + | 0.219524i | \(0.0704504\pi\) | |||||||
\(570\) | 32.2130 | − | 14.4984i | 1.34925 | − | 0.607270i | ||||
\(571\) | 10.4495 | + | 18.0990i | 0.437298 | + | 0.757422i | 0.997480 | − | 0.0709477i | \(-0.0226023\pi\) |
−0.560183 | + | 0.828369i | \(0.689269\pi\) | |||||||
\(572\) | 1.90702 | + | 1.10102i | 0.0797367 | + | 0.0460360i | ||||
\(573\) | 40.8990i | 1.70858i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.89898 | − | 33.7980i | 0.287707 | − | 1.40947i | ||||
\(576\) | −1.50000 | + | 2.59808i | −0.0625000 | + | 0.108253i | ||||
\(577\) | 40.2658 | − | 23.2474i | 1.67629 | − | 0.967804i | 0.712290 | − | 0.701885i | \(-0.247658\pi\) |
0.963995 | − | 0.265919i | \(-0.0856753\pi\) | |||||||
\(578\) | −11.2583 | + | 6.50000i | −0.468285 | + | 0.270364i | ||||
\(579\) | 21.5505 | − | 37.3266i | 0.895609 | − | 1.55124i | ||||
\(580\) | 0.651531 | − | 6.44949i | 0.0270533 | − | 0.267800i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 9.30306i | 0.385624i | ||||||||
\(583\) | −4.67123 | − | 2.69694i | −0.193463 | − | 0.111696i | ||||
\(584\) | 3.44949 | + | 5.97469i | 0.142741 | + | 0.247234i | ||||
\(585\) | −1.23754 | − | 2.74961i | −0.0511660 | − | 0.113682i | ||||
\(586\) | −3.12372 | + | 5.41045i | −0.129040 | + | 0.223504i | ||||
\(587\) | − | 33.1464i | − | 1.36810i | −0.729435 | − | 0.684050i | \(-0.760217\pi\) | ||
0.729435 | − | 0.684050i | \(-0.239783\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.79796 | 0.238901 | ||||||||
\(590\) | −8.42953 | + | 11.7014i | −0.347038 | + | 0.481739i | ||||
\(591\) | −11.1464 | − | 19.3062i | −0.458503 | − | 0.794150i | ||||
\(592\) | 1.73205 | − | 1.00000i | 0.0711868 | − | 0.0410997i | ||||
\(593\) | −0.953512 | − | 0.550510i | −0.0391560 | − | 0.0226067i | 0.480294 | − | 0.877107i | \(-0.340530\pi\) |
−0.519450 | + | 0.854501i | \(0.673863\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 15.7980 | 0.647110 | ||||||||
\(597\) | −15.0635 | − | 8.69694i | −0.616510 | − | 0.355942i | ||||
\(598\) | 2.68556 | − | 1.55051i | 0.109821 | − | 0.0634051i | ||||
\(599\) | −11.4495 | − | 19.8311i | −0.467813 | − | 0.810277i | 0.531510 | − | 0.847052i | \(-0.321625\pi\) |
−0.999324 | + | 0.0367753i | \(0.988291\pi\) | |||||||
\(600\) | 8.12132 | − | 9.16756i | 0.331552 | − | 0.374264i | ||||
\(601\) | 19.3939 | 0.791093 | 0.395546 | − | 0.918446i | \(-0.370555\pi\) | ||||
0.395546 | + | 0.918446i | \(0.370555\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 24.0000i | 0.977356i | ||||||||
\(604\) | −9.79796 | + | 16.9706i | −0.398673 | + | 0.690522i | ||||
\(605\) | 26.5078 | − | 11.9306i | 1.07769 | − | 0.485047i | ||||
\(606\) | 10.3485 | + | 17.9241i | 0.420378 | + | 0.728116i | ||||
\(607\) | 21.9917 | + | 12.6969i | 0.892617 | + | 0.515353i | 0.874798 | − | 0.484488i | \(-0.160994\pi\) |
0.0178196 | + | 0.999841i | \(0.494328\pi\) | |||||||
\(608\) | 6.44949i | 0.261561i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 18.7980 | + | 1.89898i | 0.761107 | + | 0.0768874i | ||||
\(611\) | −0.202041 | + | 0.349945i | −0.00817371 | + | 0.0141573i | ||||
\(612\) | 5.19615 | − | 3.00000i | 0.210042 | − | 0.121268i | ||||
\(613\) | 7.10318 | − | 4.10102i | 0.286895 | − | 0.165639i | −0.349646 | − | 0.936882i | \(-0.613698\pi\) |
0.636541 | + | 0.771243i | \(0.280365\pi\) | |||||||
\(614\) | −2.12372 | + | 3.67840i | −0.0857065 | + | 0.148448i | ||||
\(615\) | −59.3939 | − | 6.00000i | −2.39499 | − | 0.241943i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 9.59592i | − | 0.386317i | −0.981168 | − | 0.193159i | \(-0.938127\pi\) | ||
0.981168 | − | 0.193159i | \(-0.0618732\pi\) | |||||||
\(618\) | −6.57826 | − | 3.79796i | −0.264616 | − | 0.152776i | ||||
\(619\) | −23.2247 | − | 40.2264i | −0.933481 | − | 1.61684i | −0.777320 | − | 0.629106i | \(-0.783421\pi\) |
−0.156161 | − | 0.987732i | \(-0.549912\pi\) | |||||||
\(620\) | 1.83307 | − | 0.825027i | 0.0736179 | − | 0.0331339i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 12.0000i | − | 0.481156i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 1.10102 | 0.0440761 | ||||||||
\(625\) | −19.9853 | + | 15.0196i | −0.799411 | + | 0.600784i | ||||
\(626\) | 8.79796 | + | 15.2385i | 0.351637 | + | 0.609053i | ||||
\(627\) | 67.0251 | − | 38.6969i | 2.67672 | − | 1.54541i | ||||
\(628\) | 7.31747 | + | 4.22474i | 0.291999 | + | 0.168586i | ||||
\(629\) | −4.00000 | −0.159490 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6.49490 | 0.258558 | 0.129279 | − | 0.991608i | \(-0.458734\pi\) | ||||
0.129279 | + | 0.991608i | \(0.458734\pi\) | |||||||
\(632\) | −2.51059 | − | 1.44949i | −0.0998659 | − | 0.0576576i | ||||
\(633\) | −25.4558 | + | 14.6969i | −1.01178 | + | 0.584151i | ||||
\(634\) | −13.2474 | − | 22.9453i | −0.526123 | − | 0.911272i | ||||
\(635\) | −6.66707 | + | 9.25485i | −0.264575 | + | 0.367267i | ||||
\(636\) | −2.69694 | −0.106941 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | − | 14.2020i | − | 0.562264i | ||||||
\(639\) | −16.3485 | + | 28.3164i | −0.646735 | + | 1.12018i | ||||
\(640\) | 0.917738 | + | 2.03906i | 0.0362768 | + | 0.0806008i | ||||
\(641\) | −3.10102 | − | 5.37113i | −0.122483 | − | 0.212147i | 0.798263 | − | 0.602309i | \(-0.205752\pi\) |
−0.920746 | + | 0.390162i | \(0.872419\pi\) | |||||||
\(642\) | −16.9706 | − | 9.79796i | −0.669775 | − | 0.386695i | ||||
\(643\) | 9.14643i | 0.360700i | 0.983603 | + | 0.180350i | \(0.0577230\pi\) | ||||
−0.983603 | + | 0.180350i | \(0.942277\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.89898 | − | 48.4949i | 0.192897 | − | 1.90948i | ||||
\(646\) | 6.44949 | − | 11.1708i | 0.253752 | − | 0.439511i | ||||
\(647\) | 19.3062 | − | 11.1464i | 0.759004 | − | 0.438211i | −0.0699339 | − | 0.997552i | \(-0.522279\pi\) |
0.828938 | + | 0.559340i | \(0.188945\pi\) | |||||||
\(648\) | −7.79423 | + | 4.50000i | −0.306186 | + | 0.176777i | ||||
\(649\) | −15.7980 | + | 27.3629i | −0.620124 | + | 1.07409i | ||||
\(650\) | −2.20204 | − | 0.449490i | −0.0863712 | − | 0.0176304i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 16.8990i | − | 0.661815i | ||||||
\(653\) | −34.4660 | − | 19.8990i | −1.34876 | − | 0.778707i | −0.360687 | − | 0.932687i | \(-0.617458\pi\) |
−0.988074 | + | 0.153980i | \(0.950791\pi\) | |||||||
\(654\) | 3.55051 | + | 6.14966i | 0.138836 | + | 0.240471i | ||||
\(655\) | −3.16158 | + | 1.42296i | −0.123533 | + | 0.0555997i | ||||
\(656\) | 5.44949 | − | 9.43879i | 0.212767 | − | 0.368523i | ||||
\(657\) | − | 20.6969i | − | 0.807464i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −7.10102 | −0.276616 | −0.138308 | − | 0.990389i | \(-0.544166\pi\) | ||||
−0.138308 | + | 0.990389i | \(0.544166\pi\) | |||||||
\(660\) | 15.6841 | − | 21.7718i | 0.610502 | − | 0.847465i | ||||
\(661\) | −6.47219 | − | 11.2102i | −0.251739 | − | 0.436025i | 0.712266 | − | 0.701910i | \(-0.247669\pi\) |
−0.964005 | + | 0.265885i | \(0.914336\pi\) | |||||||
\(662\) | −9.26382 | + | 5.34847i | −0.360049 | + | 0.207874i | ||||
\(663\) | −1.90702 | − | 1.10102i | −0.0740627 | − | 0.0427601i | ||||
\(664\) | 2.44949 | 0.0950586 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −6.00000 | −0.232495 | ||||||||
\(667\) | −17.3205 | − | 10.0000i | −0.670653 | − | 0.387202i | ||||
\(668\) | −4.24264 | + | 2.44949i | −0.164153 | + | 0.0947736i | ||||
\(669\) | −4.89898 | − | 8.48528i | −0.189405 | − | 0.328060i | ||||
\(670\) | 14.5145 | + | 10.4561i | 0.560744 | + | 0.403953i | ||||
\(671\) | 41.3939 | 1.59799 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 1.79796i | − | 0.0693062i | −0.999399 | − | 0.0346531i | \(-0.988967\pi\) | ||
0.999399 | − | 0.0346531i | \(-0.0110326\pi\) | |||||||
\(674\) | 14.7980 | − | 25.6308i | 0.569996 | − | 0.987262i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.39898 | + | 11.0834i | 0.246115 | + | 0.426283i | ||||
\(677\) | 27.3235 | + | 15.7753i | 1.05013 | + | 0.606292i | 0.922685 | − | 0.385554i | \(-0.125989\pi\) |
0.127444 | + | 0.991846i | \(0.459323\pi\) | |||||||
\(678\) | 0.494897i | 0.0190064i | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0.449490 | − | 4.44949i | 0.0172371 | − | 0.170630i | ||||
\(681\) | 9.00000 | − | 15.5885i | 0.344881 | − | 0.597351i | ||||
\(682\) | 3.81405 | − | 2.20204i | 0.146047 | − | 0.0843205i | ||||
\(683\) | 30.8270 | − | 17.7980i | 1.17956 | − | 0.681020i | 0.223648 | − | 0.974670i | \(-0.428203\pi\) |
0.955913 | + | 0.293650i | \(0.0948700\pi\) | |||||||
\(684\) | 9.67423 | − | 16.7563i | 0.369904 | − | 0.640692i | ||||
\(685\) | −39.5959 | − | 4.00000i | −1.51288 | − | 0.152832i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 37.1010i | 1.41549i | ||||||||
\(688\) | 7.70674 | + | 4.44949i | 0.293817 | + | 0.169635i | ||||
\(689\) | 0.247449 | + | 0.428594i | 0.00942705 | + | 0.0163281i | ||||
\(690\) | −15.5088 | − | 34.4580i | −0.590411 | − | 1.31179i | ||||
\(691\) | 6.57321 | − | 11.3851i | 0.250057 | − | 0.433111i | −0.713484 | − | 0.700671i | \(-0.752884\pi\) |
0.963541 | + | 0.267560i | \(0.0862174\pi\) | |||||||
\(692\) | 18.2474i | 0.693664i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.1010 | 0.725065 | ||||||||
\(695\) | 11.7014 | + | 8.42953i | 0.443859 | + | 0.319750i | ||||
\(696\) | −3.55051 | − | 6.14966i | −0.134582 | − | 0.233102i | ||||
\(697\) | −18.8776 | + | 10.8990i | −0.715040 | + | 0.412828i | ||||
\(698\) | 3.07483 | + | 1.77526i | 0.116384 | + | 0.0671944i | ||||
\(699\) | −24.9898 | −0.945201 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 40.6969 | 1.53710 | 0.768551 | − | 0.639788i | \(-0.220978\pi\) | ||||
0.768551 | + | 0.639788i | \(0.220978\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.1708 | + | 6.44949i | −0.421316 | + | 0.243247i | ||||
\(704\) | 2.44949 | + | 4.24264i | 0.0923186 | + | 0.159901i | ||||
\(705\) | 3.99519 | + | 2.87808i | 0.150468 | + | 0.108395i | ||||
\(706\) | −13.1010 | −0.493063 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 15.7980i | 0.593724i | ||||||||
\(709\) | 20.1464 | − | 34.8946i | 0.756615 | − | 1.31050i | −0.187952 | − | 0.982178i | \(-0.560185\pi\) |
0.944567 | − | 0.328317i | \(-0.106482\pi\) | |||||||
\(710\) | 10.0024 | + | 22.2237i | 0.375384 | + | 0.834039i | ||||
\(711\) | 4.34847 | + | 7.53177i | 0.163080 | + | 0.282463i | ||||
\(712\) | −8.66025 | − | 5.00000i | −0.324557 | − | 0.187383i | ||||
\(713\) | − | 6.20204i | − | 0.232268i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −4.89898 | − | 0.494897i | −0.183211 | − | 0.0185081i | ||||
\(716\) | 2.89898 | − | 5.02118i | 0.108340 | − | 0.187650i | ||||
\(717\) | −54.7257 | + | 31.5959i | −2.04377 | + | 1.17997i | ||||
\(718\) | 10.0424 | − | 5.79796i | 0.374778 | − | 0.216378i | ||||
\(719\) | 22.2474 | − | 38.5337i | 0.829690 | − | 1.43706i | −0.0685918 | − | 0.997645i | \(-0.521851\pi\) |
0.898282 | − | 0.439420i | \(-0.144816\pi\) | |||||||
\(720\) | 0.674235 | − | 6.67423i | 0.0251272 | − | 0.248734i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 22.5959i | − | 0.840933i | ||||||
\(723\) | 43.9048 | + | 25.3485i | 1.63284 | + | 0.942720i | ||||
\(724\) | 7.12372 | + | 12.3387i | 0.264751 | + | 0.458562i | ||||
\(725\) | 4.59043 | + | 13.7488i | 0.170484 | + | 0.510618i | ||||
\(726\) | 15.9217 | − | 27.5772i | 0.590909 | − | 1.02348i | ||||
\(727\) | − | 6.69694i | − | 0.248376i | −0.992259 | − | 0.124188i | \(-0.960367\pi\) | ||
0.992259 | − | 0.124188i | \(-0.0396325\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | −12.5169 | − | 9.01702i | −0.463272 | − | 0.333735i | ||||
\(731\) | −8.89898 | − | 15.4135i | −0.329141 | − | 0.570088i | ||||
\(732\) | 17.9241 | − | 10.3485i | 0.662493 | − | 0.382490i | ||||
\(733\) | −37.7945 | − | 21.8207i | −1.39597 | − | 0.805965i | −0.402004 | − | 0.915638i | \(-0.631686\pi\) |
−0.993968 | + | 0.109673i | \(0.965020\pi\) | |||||||
\(734\) | 32.0000 | 1.18114 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.89898 | 0.254300 | ||||||||
\(737\) | 33.9411 | + | 19.5959i | 1.25024 | + | 0.721825i | ||||
\(738\) | −28.3164 | + | 16.3485i | −1.04234 | + | 0.601795i | ||||
\(739\) | −22.2474 | − | 38.5337i | −0.818386 | − | 1.41749i | −0.906871 | − | 0.421408i | \(-0.861536\pi\) |
0.0884855 | − | 0.996077i | \(-0.471797\pi\) | |||||||
\(740\) | −2.61401 | + | 3.62863i | −0.0960931 | + | 0.133391i | ||||
\(741\) | −7.10102 | −0.260863 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 15.3031i | 0.561415i | 0.959793 | + | 0.280707i | \(0.0905691\pi\) | ||||
−0.959793 | + | 0.280707i | \(0.909431\pi\) | |||||||
\(744\) | 1.10102 | − | 1.90702i | 0.0403654 | − | 0.0699149i | ||||
\(745\) | −32.2130 | + | 14.4984i | −1.18019 | + | 0.531180i | ||||
\(746\) | 12.3485 | + | 21.3882i | 0.452110 | + | 0.783077i | ||||
\(747\) | −6.36396 | − | 3.67423i | −0.232845 | − | 0.134433i | ||||
\(748\) | − | 9.79796i | − | 0.358249i | ||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −8.14643 | + | 26.1464i | −0.297465 | + | 0.954733i | ||||
\(751\) | 11.1010 | − | 19.2275i | 0.405082 | − | 0.701623i | −0.589249 | − | 0.807951i | \(-0.700576\pi\) |
0.994331 | + | 0.106329i | \(0.0339096\pi\) | |||||||
\(752\) | −0.778539 | + | 0.449490i | −0.0283904 | + | 0.0163912i | ||||
\(753\) | 3.28913 | − | 1.89898i | 0.119863 | − | 0.0692027i | ||||
\(754\) | −0.651531 | + | 1.12848i | −0.0237274 | + | 0.0410970i | ||||
\(755\) | 4.40408 | − | 43.5959i | 0.160281 | − | 1.58662i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 32.2020i | − | 1.17040i | −0.810888 | − | 0.585202i | \(-0.801015\pi\) | ||
0.810888 | − | 0.585202i | \(-0.198985\pi\) | |||||||
\(758\) | −1.12848 | − | 0.651531i | −0.0409884 | − | 0.0236647i | ||||
\(759\) | −41.3939 | − | 71.6963i | −1.50250 | − | 2.60241i | ||||
\(760\) | −5.91894 | − | 13.1509i | −0.214703 | − | 0.477033i | ||||
\(761\) | 15.4495 | − | 26.7593i | 0.560044 | − | 0.970024i | −0.437448 | − | 0.899244i | \(-0.644118\pi\) |
0.997492 | − | 0.0707804i | \(-0.0225489\pi\) | |||||||
\(762\) | 12.4949i | 0.452642i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 16.6969 | 0.604074 | ||||||||
\(765\) | −7.84204 | + | 10.8859i | −0.283530 | + | 0.393580i | ||||
\(766\) | −8.44949 | − | 14.6349i | −0.305292 | − | 0.528782i | ||||
\(767\) | 2.51059 | − | 1.44949i | 0.0906521 | − | 0.0523380i | ||||
\(768\) | 2.12132 | + | 1.22474i | 0.0765466 | + | 0.0441942i | ||||
\(769\) | 11.3031 | 0.407599 | 0.203799 | − | 0.979013i | \(-0.434671\pi\) | ||||
0.203799 | + | 0.979013i | \(0.434671\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 50.6969 | 1.82581 | ||||||||
\(772\) | −15.2385 | − | 8.79796i | −0.548446 | − | 0.316645i | ||||
\(773\) | 11.5601 | − | 6.67423i | 0.415788 | − | 0.240056i | −0.277485 | − | 0.960730i | \(-0.589501\pi\) |
0.693274 | + | 0.720674i | \(0.256168\pi\) | |||||||
\(774\) | −13.3485 | − | 23.1202i | −0.479801 | − | 0.831039i | ||||
\(775\) | −2.98058 | + | 3.36456i | −0.107066 | + | 0.120858i | ||||
\(776\) | 3.79796 | 0.136339 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 22.8990i | 0.820968i | ||||||||
\(779\) | −35.1464 | + | 60.8754i | −1.25925 | + | 2.18109i | ||||
\(780\) | −2.24504 | + | 1.01045i | −0.0803855 | + | 0.0361798i | ||||
\(781\) | 26.6969 | + | 46.2405i | 0.955292 | + | 1.65461i | ||||
\(782\) | −11.9494 | − | 6.89898i | −0.427309 | − | 0.246707i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −18.7980 | − | 1.89898i | −0.670928 | − | 0.0677775i | ||||
\(786\) | −1.89898 | + | 3.28913i | −0.0677344 | + | 0.117319i | ||||
\(787\) | 39.4479 | − | 22.7753i | 1.40617 | − | 0.811850i | 0.411150 | − | 0.911568i | \(-0.365127\pi\) |
0.995016 | + | 0.0997176i | \(0.0317939\pi\) | |||||||
\(788\) | −7.88171 | + | 4.55051i | −0.280774 | + | 0.162105i | ||||
\(789\) | −12.0000 | + | 20.7846i | −0.427211 | + | 0.739952i | ||||
\(790\) | 6.44949 | + | 0.651531i | 0.229463 | + | 0.0231804i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | − | 14.6969i | − | 0.522233i | ||||||
\(793\) | −3.28913 | − | 1.89898i | −0.116800 | − | 0.0674347i | ||||
\(794\) | 8.67423 | + | 15.0242i | 0.307837 | + | 0.533189i | ||||
\(795\) | 5.49921 | − | 2.47508i | 0.195037 | − | 0.0877821i | ||||
\(796\) | −3.55051 | + | 6.14966i | −0.125844 | + | 0.217969i | ||||
\(797\) | 52.9444i | 1.87539i | 0.347464 | + | 0.937693i | \(0.387043\pi\) | ||||
−0.347464 | + | 0.937693i | \(0.612957\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.79796 | 0.0636072 | ||||||||
\(800\) | −3.74264 | − | 3.31552i | −0.132322 | − | 0.117221i | ||||
\(801\) | 15.0000 | + | 25.9808i | 0.529999 | + | 0.917985i | ||||
\(802\) | −25.4558 | + | 14.6969i | −0.898877 | + | 0.518967i | ||||
\(803\) | −29.2699 | − | 16.8990i | −1.03291 | − | 0.596352i | ||||
\(804\) | 19.5959 | 0.691095 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −0.404082 | −0.0142332 | ||||||||
\(807\) | 32.1304 | + | 18.5505i | 1.13104 | + | 0.653009i | ||||
\(808\) | 7.31747 | − | 4.22474i | 0.257428 | − | 0.148626i | ||||
\(809\) | 4.20204 | + | 7.27815i | 0.147736 | + | 0.255886i | 0.930390 | − | 0.366570i | \(-0.119468\pi\) |
−0.782654 | + | 0.622456i | \(0.786135\pi\) | |||||||
\(810\) | 11.7631 | − | 16.3288i | 0.413312 | − | 0.573736i | ||||
\(811\) | −38.9444 | −1.36752 | −0.683761 | − | 0.729706i | \(-0.739657\pi\) | ||||
−0.683761 | + | 0.729706i | \(0.739657\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 29.3939i | − | 1.03089i | ||||||
\(814\) | −4.89898 | + | 8.48528i | −0.171709 | + | 0.297409i | ||||
\(815\) | 15.5088 | + | 34.4580i | 0.543251 | + | 1.20701i | ||||
\(816\) | −2.44949 | − | 4.24264i | −0.0857493 | − | 0.148522i | ||||
\(817\) | −49.7046 | − | 28.6969i | −1.73894 | − | 1.00398i | ||||
\(818\) | − | 14.4949i | − | 0.506802i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.44949 | + | 24.2474i | −0.0855399 | + | 0.846758i | ||||
\(821\) | −13.8990 | + | 24.0737i | −0.485078 | + | 0.840179i | −0.999853 | − | 0.0171459i | \(-0.994542\pi\) |
0.514775 | + | 0.857325i | \(0.327875\pi\) | |||||||
\(822\) | −37.7552 | + | 21.7980i | −1.31686 | + | 0.760291i | ||||
\(823\) | −33.9411 | + | 19.5959i | −1.18311 | + | 0.683071i | −0.956733 | − | 0.290968i | \(-0.906023\pi\) |
−0.226381 | + | 0.974039i | \(0.572689\pi\) | |||||||
\(824\) | −1.55051 | + | 2.68556i | −0.0540146 | + | 0.0935560i | ||||
\(825\) | −12.0000 | + | 58.7878i | −0.417786 | + | 2.04673i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 23.5959i | 0.820510i | 0.911971 | + | 0.410255i | \(0.134560\pi\) | ||||
−0.911971 | + | 0.410255i | \(0.865440\pi\) | |||||||
\(828\) | −17.9241 | − | 10.3485i | −0.622905 | − | 0.359634i | ||||
\(829\) | 19.8207 | + | 34.3304i | 0.688400 | + | 1.19234i | 0.972355 | + | 0.233506i | \(0.0750200\pi\) |
−0.283955 | + | 0.958838i | \(0.591647\pi\) | |||||||
\(830\) | −4.99465 | + | 2.24799i | −0.173367 | + | 0.0780288i | ||||
\(831\) | 6.24745 | − | 10.8209i | 0.216722 | − | 0.375373i | ||||
\(832\) | − | 0.449490i | − | 0.0155833i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 15.7980 | 0.547039 | ||||||||
\(835\) | 6.40300 | − | 8.88828i | 0.221585 | − | 0.307592i | ||||
\(836\) | −15.7980 | − | 27.3629i | −0.546384 | − | 0.946365i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.58542 | + | 3.22474i | 0.192945 | + | 0.111397i | ||||
\(839\) | −27.1010 | −0.935631 | −0.467816 | − | 0.883826i | \(-0.654959\pi\) | ||||
−0.467816 | + | 0.883826i | \(0.654959\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.5959 | −0.710204 | ||||||||
\(842\) | −20.6096 | − | 11.8990i | −0.710255 | − | 0.410066i | ||||
\(843\) | 38.1838 | − | 22.0454i | 1.31512 | − | 0.759284i | ||||
\(844\) | 6.00000 | + | 10.3923i | 0.206529 | + | 0.357718i | ||||
\(845\) | −23.2195 | − | 16.7270i | −0.798775 | − | 0.575427i | ||||
\(846\) | 2.69694 | 0.0927227 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.10102i | 0.0378092i | ||||||||
\(849\) | 34.5959 | − | 59.9219i | 1.18733 | − | 2.05651i | ||||
\(850\) | 3.16693 | + | 9.48528i | 0.108625 | + | 0.325342i | ||||
\(851\) | 6.89898 | + | 11.9494i | 0.236494 | + | 0.409620i | ||||
\(852\) | 23.1202 | + | 13.3485i | 0.792086 | + | 0.457311i | ||||
\(853\) | − | 29.8434i | − | 1.02182i | −0.859635 | − | 0.510909i | \(-0.829309\pi\) | ||
0.859635 | − | 0.510909i | \(-0.170691\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −4.34847 | + | 43.0454i | −0.148715 | + | 1.47212i | ||||
\(856\) | −4.00000 | + | 6.92820i | −0.136717 | + | 0.236801i | ||||
\(857\) | 21.8168 | − | 12.5959i | 0.745247 | − | 0.430268i | −0.0787272 | − | 0.996896i | \(-0.525086\pi\) |
0.823974 | + | 0.566628i | \(0.191752\pi\) | |||||||
\(858\) | −4.67123 | + | 2.69694i | −0.159473 | + | 0.0920720i | ||||
\(859\) | −14.8207 | + | 25.6701i | −0.505674 | + | 0.875854i | 0.494304 | + | 0.869289i | \(0.335423\pi\) |
−0.999978 | + | 0.00656478i | \(0.997910\pi\) | |||||||
\(860\) | −19.7980 | − | 2.00000i | −0.675105 | − | 0.0681994i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 17.7980i | − | 0.606201i | ||||||
\(863\) | 11.5994 | + | 6.69694i | 0.394849 | + | 0.227966i | 0.684259 | − | 0.729239i | \(-0.260126\pi\) |
−0.289410 | + | 0.957205i | \(0.593459\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.7464 | − | 37.2076i | −0.569394 | − | 1.26510i | ||||
\(866\) | −9.89898 | + | 17.1455i | −0.336381 | + | 0.582629i | ||||
\(867\) | − | 31.8434i | − | 1.08146i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 14.2020 | 0.481771 | ||||||||
\(870\) | 12.8835 | + | 9.28108i | 0.436791 | + | 0.314658i | ||||
\(871\) | −1.79796 | − | 3.11416i | −0.0609215 | − | 0.105519i | ||||
\(872\) | 2.51059 | − | 1.44949i | 0.0850193 | − | 0.0490859i | ||||
\(873\) | −9.86739 | − | 5.69694i | −0.333960 | − | 0.192812i | ||||
\(874\) | −44.4949 | −1.50506 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −16.8990 | −0.570964 | ||||||||
\(877\) | −16.7956 | − | 9.69694i | −0.567147 | − | 0.327442i | 0.188862 | − | 0.982004i | \(-0.439520\pi\) |
−0.756009 | + | 0.654561i | \(0.772853\pi\) | |||||||
\(878\) | 32.3840 | − | 18.6969i | 1.09291 | − | 0.630991i | ||||
\(879\) | −7.65153 | − | 13.2528i | −0.258080 | − | 0.447007i | ||||
\(880\) | −8.88828 | − | 6.40300i | −0.299624 | − | 0.215845i | ||||
\(881\) | 27.7980 | 0.936537 | 0.468269 | − | 0.883586i | \(-0.344878\pi\) | ||||
0.468269 | + | 0.883586i | \(0.344878\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 41.7980i | − | 1.40661i | −0.710887 | − | 0.703307i | \(-0.751706\pi\) | ||
0.710887 | − | 0.703307i | \(-0.248294\pi\) | |||||||
\(884\) | −0.449490 | + | 0.778539i | −0.0151180 | + | 0.0261851i | ||||
\(885\) | −14.4984 | − | 32.2130i | −0.487358 | − | 1.08283i | ||||
\(886\) | −4.89898 | − | 8.48528i | −0.164584 | − | 0.285069i | ||||
\(887\) | 23.1202 | + | 13.3485i | 0.776301 | + | 0.448198i | 0.835118 | − | 0.550071i | \(-0.185399\pi\) |
−0.0588166 | + | 0.998269i | \(0.518733\pi\) | |||||||
\(888\) | 4.89898i | 0.164399i | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 22.2474 | + | 2.24745i | 0.745736 | + | 0.0753347i | ||||
\(891\) | 22.0454 | − | 38.1838i | 0.738549 | − | 1.27920i | ||||
\(892\) | −3.46410 | + | 2.00000i | −0.115987 | + | 0.0669650i | ||||
\(893\) | 5.02118 | − | 2.89898i | 0.168027 | − | 0.0970106i | ||||
\(894\) | −19.3485 | + | 33.5125i | −0.647110 | + | 1.12083i | ||||
\(895\) | −1.30306 | + | 12.8990i | −0.0435565 | + | 0.431165i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.59592i | 0.253620i | ||||||||
\(898\) | 8.66025 | + | 5.00000i | 0.288996 | + | 0.166852i | ||||
\(899\) | 1.30306 | + | 2.25697i | 0.0434595 | + | 0.0752741i | ||||
\(900\) | 4.75039 | + | 14.2279i | 0.158346 | + | 0.474264i | ||||
\(901\) | 1.10102 | − | 1.90702i | 0.0366803 | − | 0.0635322i | ||||
\(902\) | 53.3939i | 1.77782i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.202041 | 0.00671978 | ||||||||
\(905\) | −25.8493 | − | 18.6215i | −0.859261 | − | 0.619000i | ||||
\(906\) | −24.0000 | − | 41.5692i | −0.797347 | − | 1.38104i | ||||
\(907\) | −19.2275 | + | 11.1010i | −0.638440 | + | 0.368603i | −0.784013 | − | 0.620744i | \(-0.786831\pi\) |
0.145574 | + | 0.989347i | \(0.453497\pi\) | |||||||
\(908\) | −6.36396 | − | 3.67423i | −0.211195 | − | 0.121934i | ||||
\(909\) | −25.3485 | −0.840756 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 3.59592 | 0.119138 | 0.0595690 | − | 0.998224i | \(-0.481027\pi\) | ||||
0.0595690 | + | 0.998224i | \(0.481027\pi\) | |||||||
\(912\) | −13.6814 | − | 7.89898i | −0.453038 | − | 0.261561i | ||||
\(913\) | −10.3923 | + | 6.00000i | −0.343935 | + | 0.198571i | ||||
\(914\) | 4.79796 | + | 8.31031i | 0.158702 | + | 0.274881i | ||||
\(915\) | −27.0510 | + | 37.5507i | −0.894280 | + | 1.24139i | ||||
\(916\) | 15.1464 | 0.500452 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8.55051 | + | 14.8099i | −0.282055 | + | 0.488534i | −0.971891 | − | 0.235432i | \(-0.924350\pi\) |
0.689836 | + | 0.723966i | \(0.257683\pi\) | |||||||
\(920\) | −14.0674 | + | 6.33145i | −0.463789 | + | 0.208742i | ||||
\(921\) | −5.20204 | − | 9.01020i | −0.171413 | − | 0.296896i | ||||
\(922\) | 2.29629 | + | 1.32577i | 0.0756244 | + | 0.0436618i | ||||
\(923\) | − | 4.89898i | − | 0.161252i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.00000 | − | 9.79796i | 0.0657596 | − | 0.322155i | ||||
\(926\) | −17.7980 | + | 30.8270i | −0.584877 | + | 1.01304i | ||||
\(927\) | 8.05669 | − | 4.65153i | 0.264616 | − | 0.152776i | ||||
\(928\) | −2.51059 | + | 1.44949i | −0.0824142 | + | 0.0475818i | ||||
\(929\) | 20.1464 | − | 34.8946i | 0.660983 | − | 1.14486i | −0.319375 | − | 0.947628i | \(-0.603473\pi\) |
0.980358 | − | 0.197227i | \(-0.0631938\pi\) | |||||||
\(930\) | −0.494897 | + | 4.89898i | −0.0162283 | + | 0.160644i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 10.2020i | 0.334179i | ||||||||
\(933\) | 25.4558 | + | 14.6969i | 0.833387 | + | 0.481156i | ||||
\(934\) | −2.77526 | − | 4.80688i | −0.0908091 | − | 0.157286i | ||||
\(935\) | 8.99196 | + | 19.9786i | 0.294068 | + | 0.653370i | ||||
\(936\) | −0.674235 | + | 1.16781i | −0.0220380 | + | 0.0381710i | ||||
\(937\) | − | 50.8990i | − | 1.66280i | −0.555677 | − | 0.831399i | \(-0.687541\pi\) | ||
0.555677 | − | 0.831399i | \(-0.312459\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −43.1010 | −1.40655 | ||||||||
\(940\) | 1.17497 | − | 1.63103i | 0.0383234 | − | 0.0531983i | ||||
\(941\) | 12.2247 | + | 21.1739i | 0.398515 | + | 0.690249i | 0.993543 | − | 0.113456i | \(-0.0361922\pi\) |
−0.595028 | + | 0.803705i | \(0.702859\pi\) | |||||||
\(942\) | −17.9241 | + | 10.3485i | −0.583998 | + | 0.337171i | ||||
\(943\) | 65.1180 | + | 37.5959i | 2.12054 | + | 1.22429i | ||||
\(944\) | 6.44949 | 0.209913 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −43.5959 | −1.41743 | ||||||||
\(947\) | 38.1838 | + | 22.0454i | 1.24081 | + | 0.716379i | 0.969258 | − | 0.246046i | \(-0.0791313\pi\) |
0.271547 | + | 0.962425i | \(0.412465\pi\) | |||||||
\(948\) | 6.14966 | − | 3.55051i | 0.199732 | − | 0.115315i | ||||
\(949\) | 1.55051 | + | 2.68556i | 0.0503317 | + | 0.0871770i | ||||
\(950\) | 24.1381 | + | 21.3834i | 0.783144 | + | 0.693768i | ||||
\(951\) | 64.8990 | 2.10449 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 21.7980i | − | 0.706105i | −0.935603 | − | 0.353053i | \(-0.885144\pi\) | ||
0.935603 | − | 0.353053i | \(-0.114856\pi\) | |||||||
\(954\) | 1.65153 | − | 2.86054i | 0.0534703 | − | 0.0926132i | ||||
\(955\) | −34.0460 | + | 15.3234i | −1.10170 | + | 0.495854i | ||||
\(956\) | 12.8990 | + | 22.3417i | 0.417183 | + | 0.722582i | ||||
\(957\) | 30.1271 | + | 17.3939i | 0.973870 | + | 0.562264i | ||||
\(958\) | 38.6969i | 1.25024i | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −5.44949 | − | 0.550510i | −0.175882 | − | 0.0177676i | ||||
\(961\) | 15.0959 | − | 26.1469i | 0.486965 | − | 0.843448i | ||||
\(962\) | 0.778539 | − | 0.449490i | 0.0251011 | − | 0.0144921i | ||||
\(963\) | 20.7846 | − | 12.0000i | 0.669775 | − | 0.386695i | ||||
\(964\) | 10.3485 | − | 17.9241i | 0.333302 | − | 0.577296i | ||||
\(965\) | 39.1464 | + | 3.95459i | 1.26017 | + | 0.127303i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.2929i | 1.03847i | 0.854632 | + | 0.519234i | \(0.173783\pi\) | ||||
−0.854632 | + | 0.519234i | \(0.826217\pi\) | |||||||
\(968\) | −11.2583 | − | 6.50000i | −0.361856 | − | 0.208918i | ||||
\(969\) | 15.7980 | + | 27.3629i | 0.507504 | + | 0.879022i | ||||
\(970\) | −7.74426 | + | 3.48553i | −0.248653 | + | 0.111914i | ||||
\(971\) | 7.22474 | − | 12.5136i | 0.231853 | − | 0.401581i | −0.726500 | − | 0.687166i | \(-0.758854\pi\) |
0.958353 | + | 0.285585i | \(0.0921878\pi\) | |||||||
\(972\) | − | 22.0454i | − | 0.707107i | ||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −36.6969 | −1.17585 | ||||||||
\(975\) | 3.65045 | − | 4.12072i | 0.116908 | − | 0.131969i | ||||
\(976\) | −4.22474 | − | 7.31747i | −0.135231 | − | 0.234227i | ||||
\(977\) | 25.4558 | − | 14.6969i | 0.814405 | − | 0.470197i | −0.0340785 | − | 0.999419i | \(-0.510850\pi\) |
0.848483 | + | 0.529222i | \(0.177516\pi\) | |||||||
\(978\) | 35.8481 | + | 20.6969i | 1.14630 | + | 0.661815i | ||||
\(979\) | 48.9898 | 1.56572 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.69694 | −0.277672 | ||||||||
\(982\) | −16.9706 | − | 9.79796i | −0.541552 | − | 0.312665i | ||||
\(983\) | 36.9766 | − | 21.3485i | 1.17937 | − | 0.680910i | 0.223502 | − | 0.974703i | \(-0.428251\pi\) |
0.955869 | + | 0.293793i | \(0.0949176\pi\) | |||||||
\(984\) | 13.3485 | + | 23.1202i | 0.425534 | + | 0.737046i | ||||
\(985\) | 11.8951 | − | 16.5121i | 0.379009 | − | 0.526119i | ||||
\(986\) | 5.79796 | 0.184645 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.89898i | 0.0922288i | ||||||||
\(989\) | −30.6969 | + | 53.1687i | −0.976106 | + | 1.69066i | ||||
\(990\) | 13.4879 | + | 29.9679i | 0.428675 | + | 0.952443i | ||||
\(991\) | −30.3485 | − | 52.5651i | −0.964051 | − | 1.66979i | −0.712144 | − | 0.702034i | \(-0.752276\pi\) |
−0.251907 | − | 0.967751i | \(-0.581058\pi\) | |||||||
\(992\) | −0.778539 | − | 0.449490i | −0.0247186 | − | 0.0142713i | ||||
\(993\) | − | 26.2020i | − | 0.831497i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 1.59592 | − | 15.7980i | 0.0505940 | − | 0.500829i | ||||
\(996\) | −3.00000 | + | 5.19615i | −0.0950586 | + | 0.164646i | ||||
\(997\) | 36.9373 | − | 21.3258i | 1.16982 | − | 0.675394i | 0.216180 | − | 0.976354i | \(-0.430640\pi\) |
0.953637 | + | 0.300960i | \(0.0973070\pi\) | |||||||
\(998\) | 22.3417 | − | 12.8990i | 0.707214 | − | 0.408310i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))