Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(41,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.m (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 6x^{14} + 9x^{12} + 54x^{10} - 288x^{8} + 486x^{6} + 729x^{4} - 4374x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 41.2 | ||
Root | \(1.40917 + 1.00709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.41 |
Dual form | 126.2.m.a.83.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 | ||||
\(3\) | −1.40917 | − | 1.00709i | −0.813585 | − | 0.581446i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −1.17468 | + | 2.03460i | −0.525332 | + | 0.909902i | 0.474232 | + | 0.880400i | \(0.342726\pi\) |
−0.999565 | + | 0.0295026i | \(0.990608\pi\) | |||||||
\(6\) | 1.72392 | + | 0.167584i | 0.703789 | + | 0.0684160i | ||||
\(7\) | −2.63145 | + | 0.274725i | −0.994594 | + | 0.103836i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0.971521 | + | 2.83834i | 0.323840 | + | 0.946112i | ||||
\(10\) | − | 2.34936i | − | 0.742932i | ||||||
\(11\) | −4.91614 | + | 2.83834i | −1.48227 | + | 0.855790i | −0.999798 | − | 0.0201197i | \(-0.993595\pi\) |
−0.482475 | + | 0.875910i | \(0.660262\pi\) | |||||||
\(12\) | −1.57675 | + | 0.716830i | −0.455170 | + | 0.206931i | ||||
\(13\) | −1.48943 | − | 0.859925i | −0.413094 | − | 0.238500i | 0.279024 | − | 0.960284i | \(-0.409989\pi\) |
−0.692118 | + | 0.721784i | \(0.743322\pi\) | |||||||
\(14\) | 2.14154 | − | 1.55364i | 0.572350 | − | 0.415229i | ||||
\(15\) | 3.70436 | − | 1.68409i | 0.956462 | − | 0.434830i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.76883 | 0.429004 | 0.214502 | − | 0.976724i | \(-0.431187\pi\) | ||||
0.214502 | + | 0.976724i | \(0.431187\pi\) | |||||||
\(18\) | −2.26053 | − | 1.97231i | −0.532812 | − | 0.464878i | ||||
\(19\) | − | 1.13932i | − | 0.261378i | −0.991423 | − | 0.130689i | \(-0.958281\pi\) | ||
0.991423 | − | 0.130689i | \(-0.0417189\pi\) | |||||||
\(20\) | 1.17468 | + | 2.03460i | 0.262666 | + | 0.454951i | ||||
\(21\) | 3.98483 | + | 2.26298i | 0.869562 | + | 0.493823i | ||||
\(22\) | 2.83834 | − | 4.91614i | 0.605135 | − | 1.04812i | ||||
\(23\) | −3.18272 | − | 1.83755i | −0.663644 | − | 0.383155i | 0.130020 | − | 0.991511i | \(-0.458496\pi\) |
−0.793664 | + | 0.608356i | \(0.791829\pi\) | |||||||
\(24\) | 1.00709 | − | 1.40917i | 0.205572 | − | 0.287646i | ||||
\(25\) | −0.259741 | − | 0.449885i | −0.0519482 | − | 0.0899769i | ||||
\(26\) | 1.71985 | 0.337290 | ||||||||
\(27\) | 1.48943 | − | 4.97811i | 0.286642 | − | 0.958038i | ||||
\(28\) | −1.07781 | + | 2.41626i | −0.203686 | + | 0.456631i | ||||
\(29\) | 3.59886 | − | 2.07781i | 0.668292 | − | 0.385839i | −0.127137 | − | 0.991885i | \(-0.540579\pi\) |
0.795429 | + | 0.606046i | \(0.207245\pi\) | |||||||
\(30\) | −2.36603 | + | 3.31064i | −0.431975 | + | 0.604438i | ||||
\(31\) | 7.24879 | + | 4.18509i | 1.30192 | + | 0.751665i | 0.980734 | − | 0.195350i | \(-0.0625844\pi\) |
0.321188 | + | 0.947015i | \(0.395918\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | 9.78615 | + | 0.951321i | 1.70355 | + | 0.165604i | ||||
\(34\) | −1.53185 | + | 0.884414i | −0.262710 | + | 0.151676i | ||||
\(35\) | 2.53215 | − | 5.67667i | 0.428012 | − | 0.959532i | ||||
\(36\) | 2.94383 | + | 0.577806i | 0.490638 | + | 0.0963009i | ||||
\(37\) | −9.19773 | −1.51210 | −0.756049 | − | 0.654515i | \(-0.772873\pi\) | ||||
−0.756049 | + | 0.654515i | \(0.772873\pi\) | |||||||
\(38\) | 0.569660 | + | 0.986680i | 0.0924111 | + | 0.160061i | ||||
\(39\) | 1.23284 | + | 2.71178i | 0.197412 | + | 0.434232i | ||||
\(40\) | −2.03460 | − | 1.17468i | −0.321699 | − | 0.185733i | ||||
\(41\) | −3.99709 | + | 6.92317i | −0.624241 | + | 1.08122i | 0.364446 | + | 0.931225i | \(0.381258\pi\) |
−0.988687 | + | 0.149993i | \(0.952075\pi\) | |||||||
\(42\) | −4.58246 | + | 0.0326160i | −0.707089 | + | 0.00503276i | ||||
\(43\) | 1.76053 | + | 3.04933i | 0.268478 | + | 0.465018i | 0.968469 | − | 0.249134i | \(-0.0801459\pi\) |
−0.699991 | + | 0.714152i | \(0.746813\pi\) | |||||||
\(44\) | 5.67667i | 0.855790i | ||||||||
\(45\) | −6.91611 | − | 1.35747i | −1.03099 | − | 0.202360i | ||||
\(46\) | 3.67509 | 0.541863 | ||||||||
\(47\) | −5.90494 | − | 10.2277i | −0.861324 | − | 1.49186i | −0.870651 | − | 0.491901i | \(-0.836302\pi\) |
0.00932669 | − | 0.999957i | \(-0.497031\pi\) | |||||||
\(48\) | −0.167584 | + | 1.72392i | −0.0241887 | + | 0.248827i | ||||
\(49\) | 6.84905 | − | 1.44585i | 0.978436 | − | 0.206550i | ||||
\(50\) | 0.449885 | + | 0.259741i | 0.0636233 | + | 0.0367329i | ||||
\(51\) | −2.49258 | − | 1.78138i | −0.349031 | − | 0.249443i | ||||
\(52\) | −1.48943 | + | 0.859925i | −0.206547 | + | 0.119250i | ||||
\(53\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(54\) | 1.19917 | + | 5.05589i | 0.163186 | + | 0.688019i | ||||
\(55\) | − | 13.3365i | − | 1.79830i | ||||||
\(56\) | −0.274725 | − | 2.63145i | −0.0367117 | − | 0.351642i | ||||
\(57\) | −1.14740 | + | 1.60550i | −0.151977 | + | 0.212653i | ||||
\(58\) | −2.07781 | + | 3.59886i | −0.272829 | + | 0.472554i | ||||
\(59\) | −1.11483 | + | 1.93094i | −0.145139 | + | 0.251387i | −0.929425 | − | 0.369012i | \(-0.879696\pi\) |
0.784286 | + | 0.620399i | \(0.213029\pi\) | |||||||
\(60\) | 0.393716 | − | 4.05012i | 0.0508285 | − | 0.522868i | ||||
\(61\) | −7.79396 | + | 4.49985i | −0.997915 | + | 0.576146i | −0.907631 | − | 0.419770i | \(-0.862111\pi\) |
−0.0902842 | + | 0.995916i | \(0.528778\pi\) | |||||||
\(62\) | −8.37019 | −1.06301 | ||||||||
\(63\) | −3.33627 | − | 7.20203i | −0.420331 | − | 0.907371i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 3.49921 | − | 2.02027i | 0.434024 | − | 0.250584i | ||||
\(66\) | −8.95072 | + | 4.06921i | −1.10176 | + | 0.500885i | ||||
\(67\) | −5.43562 | + | 9.41477i | −0.664067 | + | 1.15020i | 0.315470 | + | 0.948935i | \(0.397838\pi\) |
−0.979537 | + | 0.201262i | \(0.935496\pi\) | |||||||
\(68\) | 0.884414 | − | 1.53185i | 0.107251 | − | 0.185764i | ||||
\(69\) | 2.63442 | + | 5.79472i | 0.317147 | + | 0.697602i | ||||
\(70\) | 0.645428 | + | 6.18222i | 0.0771434 | + | 0.738916i | ||||
\(71\) | − | 4.52106i | − | 0.536551i | −0.963342 | − | 0.268276i | \(-0.913546\pi\) | ||
0.963342 | − | 0.268276i | \(-0.0864538\pi\) | |||||||
\(72\) | −2.83834 | + | 0.971521i | −0.334501 | + | 0.114495i | ||||
\(73\) | 5.34234i | 0.625274i | 0.949873 | + | 0.312637i | \(0.101212\pi\) | ||||
−0.949873 | + | 0.312637i | \(0.898788\pi\) | |||||||
\(74\) | 7.96547 | − | 4.59886i | 0.925967 | − | 0.534607i | ||||
\(75\) | −0.0870571 | + | 0.895548i | −0.0100525 | + | 0.103409i | ||||
\(76\) | −0.986680 | − | 0.569660i | −0.113180 | − | 0.0653445i | ||||
\(77\) | 12.1568 | − | 8.81952i | 1.38540 | − | 1.00508i | ||||
\(78\) | −2.42356 | − | 1.73205i | −0.274414 | − | 0.196116i | ||||
\(79\) | 6.51422 | + | 11.2830i | 0.732907 | + | 1.26943i | 0.955636 | + | 0.294551i | \(0.0951701\pi\) |
−0.222729 | + | 0.974880i | \(0.571497\pi\) | |||||||
\(80\) | 2.34936 | 0.262666 | ||||||||
\(81\) | −7.11229 | + | 5.51501i | −0.790255 | + | 0.612778i | ||||
\(82\) | − | 7.99419i | − | 0.882810i | ||||||
\(83\) | 6.27298 | + | 10.8651i | 0.688549 | + | 1.19260i | 0.972307 | + | 0.233707i | \(0.0750855\pi\) |
−0.283758 | + | 0.958896i | \(0.591581\pi\) | |||||||
\(84\) | 3.95222 | − | 2.31948i | 0.431222 | − | 0.253076i | ||||
\(85\) | −2.07781 | + | 3.59886i | −0.225370 | + | 0.390352i | ||||
\(86\) | −3.04933 | − | 1.76053i | −0.328817 | − | 0.189843i | ||||
\(87\) | −7.16396 | − | 0.696415i | −0.768057 | − | 0.0746636i | ||||
\(88\) | −2.83834 | − | 4.91614i | −0.302568 | − | 0.524062i | ||||
\(89\) | 1.16106 | 0.123072 | 0.0615360 | − | 0.998105i | \(-0.480400\pi\) | ||||
0.0615360 | + | 0.998105i | \(0.480400\pi\) | |||||||
\(90\) | 6.66826 | − | 2.28245i | 0.702897 | − | 0.240591i | ||||
\(91\) | 4.15561 | + | 1.85366i | 0.435626 | + | 0.194317i | ||||
\(92\) | −3.18272 | + | 1.83755i | −0.331822 | + | 0.191577i | ||||
\(93\) | −6.00000 | − | 13.1977i | −0.622171 | − | 1.36854i | ||||
\(94\) | 10.2277 | + | 5.90494i | 1.05490 | + | 0.609048i | ||||
\(95\) | 2.31806 | + | 1.33834i | 0.237828 | + | 0.137310i | ||||
\(96\) | −0.716830 | − | 1.57675i | −0.0731611 | − | 0.160927i | ||||
\(97\) | 3.97536 | − | 2.29517i | 0.403636 | − | 0.233039i | −0.284416 | − | 0.958701i | \(-0.591800\pi\) |
0.688052 | + | 0.725662i | \(0.258466\pi\) | |||||||
\(98\) | −5.20853 | + | 4.67667i | −0.526141 | + | 0.472415i | ||||
\(99\) | −12.8323 | − | 11.1962i | −1.28969 | − | 1.12526i | ||||
\(100\) | −0.519482 | −0.0519482 | ||||||||
\(101\) | −3.31155 | − | 5.73577i | −0.329511 | − | 0.570730i | 0.652904 | − | 0.757441i | \(-0.273551\pi\) |
−0.982415 | + | 0.186711i | \(0.940217\pi\) | |||||||
\(102\) | 3.04933 | + | 0.296428i | 0.301928 | + | 0.0293507i | ||||
\(103\) | 5.07471 | + | 2.92989i | 0.500026 | + | 0.288690i | 0.728724 | − | 0.684807i | \(-0.240114\pi\) |
−0.228698 | + | 0.973497i | \(0.573447\pi\) | |||||||
\(104\) | 0.859925 | − | 1.48943i | 0.0843225 | − | 0.146051i | ||||
\(105\) | −9.28518 | + | 5.44928i | −0.906140 | + | 0.531795i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.71563i | 0.455878i | 0.973675 | + | 0.227939i | \(0.0731986\pi\) | ||||
−0.973675 | + | 0.227939i | \(0.926801\pi\) | |||||||
\(108\) | −3.56645 | − | 3.77894i | −0.343182 | − | 0.363629i | ||||
\(109\) | 4.23669 | 0.405802 | 0.202901 | − | 0.979199i | \(-0.434963\pi\) | ||||
0.202901 | + | 0.979199i | \(0.434963\pi\) | |||||||
\(110\) | 6.66826 | + | 11.5498i | 0.635794 | + | 1.10123i | ||||
\(111\) | 12.9612 | + | 9.26298i | 1.23022 | + | 0.879203i | ||||
\(112\) | 1.55364 | + | 2.14154i | 0.146806 | + | 0.202356i | ||||
\(113\) | 5.91693 | + | 3.41614i | 0.556618 | + | 0.321363i | 0.751787 | − | 0.659406i | \(-0.229192\pi\) |
−0.195169 | + | 0.980770i | \(0.562526\pi\) | |||||||
\(114\) | 0.190932 | − | 1.96410i | 0.0178824 | − | 0.183955i | ||||
\(115\) | 7.47736 | − | 4.31705i | 0.697267 | − | 0.402567i | ||||
\(116\) | − | 4.15561i | − | 0.385839i | ||||||
\(117\) | 0.993738 | − | 5.06295i | 0.0918712 | − | 0.468069i | ||||
\(118\) | − | 2.22966i | − | 0.205257i | ||||||
\(119\) | −4.65458 | + | 0.485942i | −0.426685 | + | 0.0445462i | ||||
\(120\) | 1.68409 | + | 3.70436i | 0.153736 | + | 0.338160i | ||||
\(121\) | 10.6123 | − | 18.3810i | 0.964754 | − | 1.67100i | ||||
\(122\) | 4.49985 | − | 7.79396i | 0.407397 | − | 0.705632i | ||||
\(123\) | 12.6049 | − | 5.73047i | 1.13654 | − | 0.516699i | ||||
\(124\) | 7.24879 | − | 4.18509i | 0.650961 | − | 0.375832i | ||||
\(125\) | −10.5263 | −0.941504 | ||||||||
\(126\) | 6.49031 | + | 4.56901i | 0.578203 | + | 0.407040i | ||||
\(127\) | −6.67667 | −0.592459 | −0.296229 | − | 0.955117i | \(-0.595729\pi\) | ||||
−0.296229 | + | 0.955117i | \(0.595729\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | 0.590074 | − | 6.07004i | 0.0519532 | − | 0.534437i | ||||
\(130\) | −2.02027 | + | 3.49921i | −0.177189 | + | 0.306901i | ||||
\(131\) | −3.73653 | + | 6.47185i | −0.326462 | + | 0.565448i | −0.981807 | − | 0.189881i | \(-0.939190\pi\) |
0.655345 | + | 0.755329i | \(0.272523\pi\) | |||||||
\(132\) | 5.71694 | − | 7.99939i | 0.497596 | − | 0.696258i | ||||
\(133\) | 0.313000 | + | 2.99806i | 0.0271406 | + | 0.259965i | ||||
\(134\) | − | 10.8712i | − | 0.939133i | ||||||
\(135\) | 8.37888 | + | 8.87809i | 0.721139 | + | 0.764104i | ||||
\(136\) | 1.76883i | 0.151676i | ||||||||
\(137\) | 6.91772 | − | 3.99395i | 0.591021 | − | 0.341226i | −0.174480 | − | 0.984661i | \(-0.555825\pi\) |
0.765501 | + | 0.643435i | \(0.222491\pi\) | |||||||
\(138\) | −5.17883 | − | 3.70117i | −0.440851 | − | 0.315064i | ||||
\(139\) | −17.9792 | − | 10.3803i | −1.52498 | − | 0.880446i | −0.999562 | − | 0.0295993i | \(-0.990577\pi\) |
−0.525415 | − | 0.850846i | \(-0.676090\pi\) | |||||||
\(140\) | −3.65007 | − | 5.03124i | −0.308487 | − | 0.425218i | ||||
\(141\) | −1.97915 | + | 20.3593i | −0.166675 | + | 1.71457i | ||||
\(142\) | 2.26053 | + | 3.91535i | 0.189699 | + | 0.328569i | ||||
\(143\) | 9.76302 | 0.816425 | ||||||||
\(144\) | 1.97231 | − | 2.26053i | 0.164359 | − | 0.188377i | ||||
\(145\) | 9.76302i | 0.810774i | ||||||||
\(146\) | −2.67117 | − | 4.62660i | −0.221068 | − | 0.382900i | ||||
\(147\) | −11.1076 | − | 4.86019i | −0.916139 | − | 0.400862i | ||||
\(148\) | −4.59886 | + | 7.96547i | −0.378024 | + | 0.654757i | ||||
\(149\) | −1.03726 | − | 0.598865i | −0.0849760 | − | 0.0490609i | 0.456910 | − | 0.889513i | \(-0.348956\pi\) |
−0.541886 | + | 0.840452i | \(0.682290\pi\) | |||||||
\(150\) | −0.372380 | − | 0.819096i | −0.0304047 | − | 0.0668789i | ||||
\(151\) | −7.61229 | − | 13.1849i | −0.619480 | − | 1.07297i | −0.989581 | − | 0.143979i | \(-0.954010\pi\) |
0.370101 | − | 0.928991i | \(-0.379323\pi\) | |||||||
\(152\) | 1.13932 | 0.0924111 | ||||||||
\(153\) | 1.71845 | + | 5.02053i | 0.138929 | + | 0.405886i | ||||
\(154\) | −6.11835 | + | 13.7163i | −0.493030 | + | 1.10529i | ||||
\(155\) | −17.0300 | + | 9.83228i | −1.36788 | + | 0.789748i | ||||
\(156\) | 2.96489 | + | 0.288220i | 0.237381 | + | 0.0230761i | ||||
\(157\) | −8.68358 | − | 5.01347i | −0.693025 | − | 0.400118i | 0.111719 | − | 0.993740i | \(-0.464364\pi\) |
−0.804744 | + | 0.593621i | \(0.797698\pi\) | |||||||
\(158\) | −11.2830 | − | 6.51422i | −0.897624 | − | 0.518243i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.03460 | + | 1.17468i | −0.160850 | + | 0.0928665i | ||||
\(161\) | 8.88000 | + | 3.96104i | 0.699842 | + | 0.312173i | ||||
\(162\) | 3.40192 | − | 8.33228i | 0.267280 | − | 0.654646i | ||||
\(163\) | 12.0032 | 0.940160 | 0.470080 | − | 0.882624i | \(-0.344225\pi\) | ||||
0.470080 | + | 0.882624i | \(0.344225\pi\) | |||||||
\(164\) | 3.99709 | + | 6.92317i | 0.312121 | + | 0.540609i | ||||
\(165\) | −13.4311 | + | 18.7934i | −1.04561 | + | 1.46307i | ||||
\(166\) | −10.8651 | − | 6.27298i | −0.843297 | − | 0.486878i | ||||
\(167\) | −8.57472 | + | 14.8518i | −0.663532 | + | 1.14927i | 0.316150 | + | 0.948709i | \(0.397610\pi\) |
−0.979681 | + | 0.200561i | \(0.935723\pi\) | |||||||
\(168\) | −2.26298 | + | 3.98483i | −0.174593 | + | 0.307437i | ||||
\(169\) | −5.02106 | − | 8.69673i | −0.386235 | − | 0.668979i | ||||
\(170\) | − | 4.15561i | − | 0.318721i | ||||||
\(171\) | 3.23377 | − | 1.10687i | 0.247293 | − | 0.0846447i | ||||
\(172\) | 3.52106 | 0.268478 | ||||||||
\(173\) | −0.993738 | − | 1.72121i | −0.0755525 | − | 0.130861i | 0.825774 | − | 0.564001i | \(-0.190739\pi\) |
−0.901326 | + | 0.433140i | \(0.857405\pi\) | |||||||
\(174\) | 6.55238 | − | 2.97887i | 0.496735 | − | 0.225827i | ||||
\(175\) | 0.807090 | + | 1.11249i | 0.0610103 | + | 0.0840964i | ||||
\(176\) | 4.91614 | + | 2.83834i | 0.370568 | + | 0.213948i | ||||
\(177\) | 3.51563 | − | 1.59829i | 0.264251 | − | 0.120135i | ||||
\(178\) | −1.00551 | + | 0.580529i | −0.0753659 | + | 0.0435125i | ||||
\(179\) | 8.31122i | 0.621210i | 0.950539 | + | 0.310605i | \(0.100532\pi\) | ||||
−0.950539 | + | 0.310605i | \(0.899468\pi\) | |||||||
\(180\) | −4.63366 | + | 5.31079i | −0.345373 | + | 0.395843i | ||||
\(181\) | − | 15.4541i | − | 1.14870i | −0.818611 | − | 0.574348i | \(-0.805256\pi\) | ||
0.818611 | − | 0.574348i | \(-0.194744\pi\) | |||||||
\(182\) | −4.52570 | + | 0.472486i | −0.335467 | + | 0.0350230i | ||||
\(183\) | 15.5148 | + | 1.50821i | 1.14689 | + | 0.111490i | ||||
\(184\) | 1.83755 | − | 3.18272i | 0.135466 | − | 0.234634i | ||||
\(185\) | 10.8044 | − | 18.7137i | 0.794354 | − | 1.37586i | ||||
\(186\) | 11.7950 | + | 8.42957i | 0.864853 | + | 0.618086i | ||||
\(187\) | −8.69581 | + | 5.02053i | −0.635901 | + | 0.367137i | ||||
\(188\) | −11.8099 | −0.861324 | ||||||||
\(189\) | −2.55175 | + | 13.5088i | −0.185613 | + | 0.982623i | ||||
\(190\) | −2.67667 | −0.194186 | ||||||||
\(191\) | 10.6851 | − | 6.16904i | 0.773146 | − | 0.446376i | −0.0608498 | − | 0.998147i | \(-0.519381\pi\) |
0.833996 | + | 0.551771i | \(0.186048\pi\) | |||||||
\(192\) | 1.40917 | + | 1.00709i | 0.101698 | + | 0.0726808i | ||||
\(193\) | −2.19694 | + | 3.80521i | −0.158139 | + | 0.273905i | −0.934198 | − | 0.356756i | \(-0.883883\pi\) |
0.776058 | + | 0.630661i | \(0.217216\pi\) | |||||||
\(194\) | −2.29517 | + | 3.97536i | −0.164784 | + | 0.285414i | ||||
\(195\) | −6.96559 | − | 0.677132i | −0.498816 | − | 0.0484904i | ||||
\(196\) | 2.17238 | − | 6.65438i | 0.155170 | − | 0.475313i | ||||
\(197\) | 10.8865i | 0.775632i | 0.921737 | + | 0.387816i | \(0.126770\pi\) | ||||
−0.921737 | + | 0.387816i | \(0.873230\pi\) | |||||||
\(198\) | 16.7112 | + | 3.28001i | 1.18761 | + | 0.233100i | ||||
\(199\) | 27.5665i | 1.95414i | 0.212926 | + | 0.977068i | \(0.431701\pi\) | ||||
−0.212926 | + | 0.977068i | \(0.568299\pi\) | |||||||
\(200\) | 0.449885 | − | 0.259741i | 0.0318116 | − | 0.0183665i | ||||
\(201\) | 17.1413 | − | 7.79283i | 1.20905 | − | 0.549664i | ||||
\(202\) | 5.73577 | + | 3.31155i | 0.403567 | + | 0.233000i | ||||
\(203\) | −8.89940 | + | 6.45634i | −0.624616 | + | 0.453146i | ||||
\(204\) | −2.78901 | + | 1.26795i | −0.195270 | + | 0.0887742i | ||||
\(205\) | −9.39060 | − | 16.2650i | −0.655868 | − | 1.13600i | ||||
\(206\) | −5.85977 | −0.408270 | ||||||||
\(207\) | 2.12349 | − | 10.8189i | 0.147593 | − | 0.751962i | ||||
\(208\) | 1.71985i | 0.119250i | ||||||||
\(209\) | 3.23377 | + | 5.60106i | 0.223685 | + | 0.387433i | ||||
\(210\) | 5.31656 | − | 9.36180i | 0.366877 | − | 0.646026i | ||||
\(211\) | 5.15561 | − | 8.92978i | 0.354927 | − | 0.614751i | −0.632179 | − | 0.774823i | \(-0.717839\pi\) |
0.987105 | + | 0.160071i | \(0.0511724\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −4.55313 | + | 6.37094i | −0.311976 | + | 0.436530i | ||||
\(214\) | −2.35782 | − | 4.08386i | −0.161177 | − | 0.279167i | ||||
\(215\) | −8.27223 | −0.564161 | ||||||||
\(216\) | 4.97811 | + | 1.48943i | 0.338718 | + | 0.101343i | ||||
\(217\) | −20.2246 | − | 9.02143i | −1.37293 | − | 0.612415i | ||||
\(218\) | −3.66908 | + | 2.11835i | −0.248502 | + | 0.143473i | ||||
\(219\) | 5.38024 | − | 7.52827i | 0.363563 | − | 0.508713i | ||||
\(220\) | −11.5498 | − | 6.66826i | −0.778686 | − | 0.449574i | ||||
\(221\) | −2.63455 | − | 1.52106i | −0.177219 | − | 0.102318i | ||||
\(222\) | −15.8562 | − | 1.54140i | −1.06420 | − | 0.103452i | ||||
\(223\) | 6.24329 | − | 3.60456i | 0.418081 | − | 0.241379i | −0.276175 | − | 0.961107i | \(-0.589067\pi\) |
0.694256 | + | 0.719728i | \(0.255733\pi\) | |||||||
\(224\) | −2.41626 | − | 1.07781i | −0.161443 | − | 0.0720139i | ||||
\(225\) | 1.02458 | − | 1.17430i | 0.0683053 | − | 0.0782870i | ||||
\(226\) | −6.83228 | −0.454477 | ||||||||
\(227\) | −6.37800 | − | 11.0470i | −0.423323 | − | 0.733217i | 0.572939 | − | 0.819598i | \(-0.305803\pi\) |
−0.996262 | + | 0.0863812i | \(0.972470\pi\) | |||||||
\(228\) | 0.816699 | + | 1.79643i | 0.0540872 | + | 0.118971i | ||||
\(229\) | −3.89208 | − | 2.24709i | −0.257196 | − | 0.148492i | 0.365859 | − | 0.930670i | \(-0.380775\pi\) |
−0.623055 | + | 0.782178i | \(0.714109\pi\) | |||||||
\(230\) | −4.31705 | + | 7.47736i | −0.284658 | + | 0.493042i | ||||
\(231\) | −26.0131 | + | 0.185150i | −1.71154 | + | 0.0121820i | ||||
\(232\) | 2.07781 | + | 3.59886i | 0.136415 | + | 0.236277i | ||||
\(233\) | 2.15403i | 0.141115i | 0.997508 | + | 0.0705577i | \(0.0224779\pi\) | ||||
−0.997508 | + | 0.0705577i | \(0.977522\pi\) | |||||||
\(234\) | 1.67087 | + | 4.88151i | 0.109228 | + | 0.319114i | ||||
\(235\) | 27.7456 | 1.80993 | ||||||||
\(236\) | 1.11483 | + | 1.93094i | 0.0725693 | + | 0.125694i | ||||
\(237\) | 2.18336 | − | 22.4600i | 0.141825 | − | 1.45894i | ||||
\(238\) | 3.78802 | − | 2.74813i | 0.245541 | − | 0.178135i | ||||
\(239\) | −8.78317 | − | 5.07096i | −0.568136 | − | 0.328013i | 0.188269 | − | 0.982118i | \(-0.439712\pi\) |
−0.756404 | + | 0.654104i | \(0.773046\pi\) | |||||||
\(240\) | −3.31064 | − | 2.36603i | −0.213701 | − | 0.152726i | ||||
\(241\) | −9.13490 | + | 5.27404i | −0.588431 | + | 0.339731i | −0.764477 | − | 0.644651i | \(-0.777003\pi\) |
0.176046 | + | 0.984382i | \(0.443669\pi\) | |||||||
\(242\) | 21.2246i | 1.36437i | ||||||||
\(243\) | 15.5766 | − | 0.608830i | 0.999237 | − | 0.0390564i | ||||
\(244\) | 8.99970i | 0.576146i | ||||||||
\(245\) | −5.10370 | + | 15.6335i | −0.326064 | + | 0.998789i | ||||
\(246\) | −8.05090 | + | 11.2652i | −0.513307 | + | 0.718241i | ||||
\(247\) | −0.979729 | + | 1.69694i | −0.0623387 | + | 0.107974i | ||||
\(248\) | −4.18509 | + | 7.24879i | −0.265754 | + | 0.460299i | ||||
\(249\) | 2.10251 | − | 21.6283i | 0.133241 | − | 1.37064i | ||||
\(250\) | 9.11608 | − | 5.26317i | 0.576551 | − | 0.332872i | ||||
\(251\) | 29.3005 | 1.84943 | 0.924714 | − | 0.380662i | \(-0.124304\pi\) | ||||
0.924714 | + | 0.380662i | \(0.124304\pi\) | |||||||
\(252\) | −7.90528 | − | 0.711721i | −0.497986 | − | 0.0448342i | ||||
\(253\) | 20.8623 | 1.31160 | ||||||||
\(254\) | 5.78217 | − | 3.33834i | 0.362805 | − | 0.209466i | ||||
\(255\) | 6.55238 | − | 2.97887i | 0.410326 | − | 0.186544i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 3.81430 | − | 6.60656i | 0.237930 | − | 0.412106i | −0.722190 | − | 0.691694i | \(-0.756865\pi\) |
0.960120 | + | 0.279588i | \(0.0901979\pi\) | |||||||
\(258\) | 2.52400 | + | 5.55185i | 0.157137 | + | 0.345643i | ||||
\(259\) | 24.2034 | − | 2.52685i | 1.50392 | − | 0.157011i | ||||
\(260\) | − | 4.04054i | − | 0.250584i | ||||||
\(261\) | 9.39388 | + | 8.19615i | 0.581467 | + | 0.507329i | ||||
\(262\) | − | 7.47305i | − | 0.461687i | ||||||
\(263\) | −10.5531 | + | 6.09281i | −0.650729 | + | 0.375699i | −0.788736 | − | 0.614733i | \(-0.789264\pi\) |
0.138006 | + | 0.990431i | \(0.455931\pi\) | |||||||
\(264\) | −0.951321 | + | 9.78615i | −0.0585498 | + | 0.602296i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −1.77010 | − | 2.43990i | −0.108532 | − | 0.149600i | ||||
\(267\) | −1.63613 | − | 1.16930i | −0.100129 | − | 0.0715597i | ||||
\(268\) | 5.43562 | + | 9.41477i | 0.332034 | + | 0.575099i | ||||
\(269\) | −2.77433 | −0.169154 | −0.0845771 | − | 0.996417i | \(-0.526954\pi\) | ||||
−0.0845771 | + | 0.996417i | \(0.526954\pi\) | |||||||
\(270\) | −11.6954 | − | 3.49921i | −0.711757 | − | 0.212955i | ||||
\(271\) | − | 3.20793i | − | 0.194868i | −0.995242 | − | 0.0974338i | \(-0.968937\pi\) | ||
0.995242 | − | 0.0974338i | \(-0.0310634\pi\) | |||||||
\(272\) | −0.884414 | − | 1.53185i | −0.0536255 | − | 0.0928821i | ||||
\(273\) | −3.98915 | − | 6.79722i | −0.241434 | − | 0.411386i | ||||
\(274\) | −3.99395 | + | 6.91772i | −0.241283 | + | 0.417915i | ||||
\(275\) | 2.55385 | + | 1.47446i | 0.154003 | + | 0.0889135i | ||||
\(276\) | 6.33558 | + | 0.615888i | 0.381357 | + | 0.0370721i | ||||
\(277\) | −5.04054 | − | 8.73047i | −0.302857 | − | 0.524563i | 0.673925 | − | 0.738800i | \(-0.264607\pi\) |
−0.976782 | + | 0.214236i | \(0.931274\pi\) | |||||||
\(278\) | 20.7606 | 1.24514 | ||||||||
\(279\) | −4.83634 | + | 24.6404i | −0.289544 | + | 1.47518i | ||||
\(280\) | 5.67667 | + | 2.53215i | 0.339246 | + | 0.151325i | ||||
\(281\) | 4.21999 | − | 2.43641i | 0.251743 | − | 0.145344i | −0.368819 | − | 0.929501i | \(-0.620238\pi\) |
0.620562 | + | 0.784157i | \(0.286904\pi\) | |||||||
\(282\) | −8.46568 | − | 18.6213i | −0.504124 | − | 1.10888i | ||||
\(283\) | 2.44030 | + | 1.40891i | 0.145061 | + | 0.0837508i | 0.570774 | − | 0.821107i | \(-0.306643\pi\) |
−0.425713 | + | 0.904858i | \(0.639977\pi\) | |||||||
\(284\) | −3.91535 | − | 2.26053i | −0.232333 | − | 0.134138i | ||||
\(285\) | −1.91872 | − | 4.22045i | −0.113655 | − | 0.249998i | ||||
\(286\) | −8.45502 | + | 4.88151i | −0.499956 | + | 0.288650i | ||||
\(287\) | 8.61618 | − | 19.3161i | 0.508597 | − | 1.14019i | ||||
\(288\) | −0.577806 | + | 2.94383i | −0.0340475 | + | 0.173467i | ||||
\(289\) | −13.8712 | −0.815956 | ||||||||
\(290\) | −4.88151 | − | 8.45502i | −0.286652 | − | 0.496496i | ||||
\(291\) | −7.91341 | − | 0.769270i | −0.463892 | − | 0.0450954i | ||||
\(292\) | 4.62660 | + | 2.67117i | 0.270751 | + | 0.156318i | ||||
\(293\) | 4.05694 | − | 7.02683i | 0.237009 | − | 0.410512i | −0.722846 | − | 0.691010i | \(-0.757166\pi\) |
0.959855 | + | 0.280498i | \(0.0904995\pi\) | |||||||
\(294\) | 12.0496 | − | 1.34475i | 0.702744 | − | 0.0784271i | ||||
\(295\) | −2.61914 | − | 4.53648i | −0.152492 | − | 0.264124i | ||||
\(296\) | − | 9.19773i | − | 0.534607i | ||||||
\(297\) | 6.80728 | + | 28.7006i | 0.394999 | + | 1.66538i | ||||
\(298\) | 1.19773 | 0.0693826 | ||||||||
\(299\) | 3.16030 | + | 5.47381i | 0.182765 | + | 0.316558i | ||||
\(300\) | 0.732039 | + | 0.523168i | 0.0422643 | + | 0.0302051i | ||||
\(301\) | −5.47047 | − | 7.54049i | −0.315313 | − | 0.434626i | ||||
\(302\) | 13.1849 | + | 7.61229i | 0.758705 | + | 0.438038i | ||||
\(303\) | −1.10993 | + | 11.4177i | −0.0637637 | + | 0.655931i | ||||
\(304\) | −0.986680 | + | 0.569660i | −0.0565900 | + | 0.0326722i | ||||
\(305\) | − | 21.1435i | − | 1.21067i | ||||||
\(306\) | −3.99849 | − | 3.48868i | −0.228578 | − | 0.199434i | ||||
\(307\) | 10.8996i | 0.622074i | 0.950398 | + | 0.311037i | \(0.100676\pi\) | ||||
−0.950398 | + | 0.311037i | \(0.899324\pi\) | |||||||
\(308\) | −1.55953 | − | 14.9379i | −0.0888622 | − | 0.851164i | ||||
\(309\) | −4.20046 | − | 9.23943i | −0.238956 | − | 0.525613i | ||||
\(310\) | 9.83228 | − | 17.0300i | 0.558436 | − | 0.967240i | ||||
\(311\) | −4.11819 | + | 7.13291i | −0.233521 | + | 0.404470i | −0.958842 | − | 0.283941i | \(-0.908358\pi\) |
0.725321 | + | 0.688411i | \(0.241691\pi\) | |||||||
\(312\) | −2.71178 | + | 1.23284i | −0.153524 | + | 0.0697958i | ||||
\(313\) | 29.2736 | − | 16.9011i | 1.65464 | − | 0.955308i | 0.679516 | − | 0.733661i | \(-0.262190\pi\) |
0.975127 | − | 0.221648i | \(-0.0711435\pi\) | |||||||
\(314\) | 10.0269 | 0.565853 | ||||||||
\(315\) | 18.5723 | + | 1.67209i | 1.04643 | + | 0.0942115i | ||||
\(316\) | 13.0284 | 0.732907 | ||||||||
\(317\) | 5.82913 | − | 3.36545i | 0.327396 | − | 0.189022i | −0.327288 | − | 0.944925i | \(-0.606135\pi\) |
0.654685 | + | 0.755902i | \(0.272801\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.7950 | + | 20.4296i | −0.660394 | + | 1.14384i | ||||
\(320\) | 1.17468 | − | 2.03460i | 0.0656665 | − | 0.113738i | ||||
\(321\) | 4.74909 | − | 6.64513i | 0.265068 | − | 0.370895i | ||||
\(322\) | −9.67082 | + | 1.00964i | −0.538934 | + | 0.0562651i | ||||
\(323\) | − | 2.01526i | − | 0.112132i | ||||||
\(324\) | 1.21999 | + | 8.91693i | 0.0677771 | + | 0.495385i | ||||
\(325\) | 0.893431i | 0.0495586i | ||||||||
\(326\) | −10.3950 | + | 6.00158i | −0.575728 | + | 0.332397i | ||||
\(327\) | −5.97022 | − | 4.26675i | −0.330154 | − | 0.235952i | ||||
\(328\) | −6.92317 | − | 3.99709i | −0.382268 | − | 0.220703i | ||||
\(329\) | 18.3484 | + | 25.2913i | 1.01158 | + | 1.39436i | ||||
\(330\) | 2.23499 | − | 22.9912i | 0.123032 | − | 1.26562i | ||||
\(331\) | 16.0284 | + | 27.7621i | 0.881002 | + | 1.52594i | 0.850228 | + | 0.526415i | \(0.176464\pi\) |
0.0307744 | + | 0.999526i | \(0.490203\pi\) | |||||||
\(332\) | 12.5460 | 0.688549 | ||||||||
\(333\) | −8.93579 | − | 26.1062i | −0.489678 | − | 1.43061i | ||||
\(334\) | − | 17.1494i | − | 0.938375i | ||||||
\(335\) | −12.7702 | − | 22.1187i | −0.697712 | − | 1.20847i | ||||
\(336\) | −0.0326160 | − | 4.58246i | −0.00177935 | − | 0.249994i | ||||
\(337\) | −12.1123 | + | 20.9791i | −0.659799 | + | 1.14280i | 0.320869 | + | 0.947124i | \(0.396025\pi\) |
−0.980668 | + | 0.195681i | \(0.937308\pi\) | |||||||
\(338\) | 8.69673 | + | 5.02106i | 0.473040 | + | 0.273110i | ||||
\(339\) | −4.89758 | − | 10.7728i | −0.266000 | − | 0.585100i | ||||
\(340\) | 2.07781 | + | 3.59886i | 0.112685 | + | 0.195176i | ||||
\(341\) | −47.5148 | −2.57307 | ||||||||
\(342\) | −2.24709 | + | 2.57547i | −0.121509 | + | 0.139265i | ||||
\(343\) | −17.6257 | + | 5.68629i | −0.951700 | + | 0.307031i | ||||
\(344\) | −3.04933 | + | 1.76053i | −0.164409 | + | 0.0949214i | ||||
\(345\) | −14.8846 | − | 1.44694i | −0.801357 | − | 0.0779007i | ||||
\(346\) | 1.72121 | + | 0.993738i | 0.0925326 | + | 0.0534237i | ||||
\(347\) | 19.7453 | + | 11.3999i | 1.05998 | + | 0.611981i | 0.925427 | − | 0.378926i | \(-0.123706\pi\) |
0.134554 | + | 0.990906i | \(0.457040\pi\) | |||||||
\(348\) | −4.18509 | + | 5.85596i | −0.224345 | + | 0.313913i | ||||
\(349\) | 2.46389 | − | 1.42253i | 0.131889 | − | 0.0761461i | −0.432604 | − | 0.901584i | \(-0.642405\pi\) |
0.564493 | + | 0.825438i | \(0.309072\pi\) | |||||||
\(350\) | −1.25521 | − | 0.559901i | −0.0670936 | − | 0.0299279i | ||||
\(351\) | −6.49921 | + | 6.13376i | −0.346902 | + | 0.327396i | ||||
\(352\) | −5.67667 | −0.302568 | ||||||||
\(353\) | 3.57212 | + | 6.18709i | 0.190125 | + | 0.329306i | 0.945291 | − | 0.326227i | \(-0.105777\pi\) |
−0.755167 | + | 0.655533i | \(0.772444\pi\) | |||||||
\(354\) | −2.24548 | + | 3.14197i | −0.119346 | + | 0.166994i | ||||
\(355\) | 9.19856 | + | 5.31079i | 0.488209 | + | 0.281868i | ||||
\(356\) | 0.580529 | − | 1.00551i | 0.0307680 | − | 0.0532917i | ||||
\(357\) | 7.04849 | + | 4.00283i | 0.373046 | + | 0.211852i | ||||
\(358\) | −4.15561 | − | 7.19773i | −0.219631 | − | 0.380412i | ||||
\(359\) | 11.6037i | 0.612421i | 0.951964 | + | 0.306210i | \(0.0990611\pi\) | ||||
−0.951964 | + | 0.306210i | \(0.900939\pi\) | |||||||
\(360\) | 1.35747 | − | 6.91611i | 0.0715451 | − | 0.364511i | ||||
\(361\) | 17.7019 | 0.931682 | ||||||||
\(362\) | 7.72706 | + | 13.3837i | 0.406125 | + | 0.703429i | ||||
\(363\) | −33.4660 | + | 15.2144i | −1.75651 | + | 0.798550i | ||||
\(364\) | 3.68312 | − | 2.67203i | 0.193048 | − | 0.140053i | ||||
\(365\) | −10.8695 | − | 6.27554i | −0.568938 | − | 0.328477i | ||||
\(366\) | −14.1903 | + | 6.45125i | −0.741739 | + | 0.337212i | ||||
\(367\) | −6.78525 | + | 3.91747i | −0.354187 | + | 0.204490i | −0.666528 | − | 0.745480i | \(-0.732220\pi\) |
0.312341 | + | 0.949970i | \(0.398887\pi\) | |||||||
\(368\) | 3.67509i | 0.191577i | ||||||||
\(369\) | −23.5335 | − | 4.61909i | −1.22511 | − | 0.240460i | ||||
\(370\) | 21.6088i | 1.12339i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −14.4296 | − | 1.40271i | −0.748138 | − | 0.0727272i | ||||
\(373\) | −12.8339 | + | 22.2289i | −0.664512 | + | 1.15097i | 0.314905 | + | 0.949123i | \(0.398027\pi\) |
−0.979417 | + | 0.201845i | \(0.935306\pi\) | |||||||
\(374\) | 5.02053 | − | 8.69581i | 0.259605 | − | 0.449650i | ||||
\(375\) | 14.8334 | + | 10.6010i | 0.765994 | + | 0.547434i | ||||
\(376\) | 10.2277 | − | 5.90494i | 0.527451 | − | 0.304524i | ||||
\(377\) | −7.14702 | −0.368091 | ||||||||
\(378\) | −4.54453 | − | 12.9749i | −0.233745 | − | 0.667355i | ||||
\(379\) | −15.1045 | −0.775868 | −0.387934 | − | 0.921687i | \(-0.626811\pi\) | ||||
−0.387934 | + | 0.921687i | \(0.626811\pi\) | |||||||
\(380\) | 2.31806 | − | 1.33834i | 0.118914 | − | 0.0686551i | ||||
\(381\) | 9.40856 | + | 6.72404i | 0.482015 | + | 0.344483i | ||||
\(382\) | −6.16904 | + | 10.6851i | −0.315636 | + | 0.546697i | ||||
\(383\) | −0.763322 | + | 1.32211i | −0.0390040 | + | 0.0675568i | −0.884868 | − | 0.465841i | \(-0.845752\pi\) |
0.845864 | + | 0.533398i | \(0.179085\pi\) | |||||||
\(384\) | −1.72392 | − | 0.167584i | −0.0879737 | − | 0.00855200i | ||||
\(385\) | 3.66388 | + | 35.0944i | 0.186729 | + | 1.78858i | ||||
\(386\) | − | 4.39388i | − | 0.223643i | ||||||
\(387\) | −6.94462 | + | 7.95946i | −0.353015 | + | 0.404602i | ||||
\(388\) | − | 4.59035i | − | 0.233039i | ||||||
\(389\) | 12.8948 | − | 7.44483i | 0.653794 | − | 0.377468i | −0.136115 | − | 0.990693i | \(-0.543462\pi\) |
0.789908 | + | 0.613225i | \(0.210128\pi\) | |||||||
\(390\) | 6.37094 | − | 2.89638i | 0.322605 | − | 0.146664i | ||||
\(391\) | −5.62969 | − | 3.25030i | −0.284706 | − | 0.164375i | ||||
\(392\) | 1.44585 | + | 6.84905i | 0.0730265 | + | 0.345929i | ||||
\(393\) | 11.7832 | − | 5.35691i | 0.594382 | − | 0.270220i | ||||
\(394\) | −5.44325 | − | 9.42799i | −0.274227 | − | 0.474975i | ||||
\(395\) | −30.6085 | −1.54008 | ||||||||
\(396\) | −16.1123 | + | 5.51501i | −0.809673 | + | 0.277139i | ||||
\(397\) | 28.7869i | 1.44478i | 0.691488 | + | 0.722388i | \(0.256955\pi\) | ||||
−0.691488 | + | 0.722388i | \(0.743045\pi\) | |||||||
\(398\) | −13.7832 | − | 23.8733i | −0.690892 | − | 1.19666i | ||||
\(399\) | 2.57826 | − | 4.54000i | 0.129075 | − | 0.227284i | ||||
\(400\) | −0.259741 | + | 0.449885i | −0.0129871 | + | 0.0224942i | ||||
\(401\) | −33.0592 | − | 19.0868i | −1.65090 | − | 0.953147i | −0.976703 | − | 0.214595i | \(-0.931157\pi\) |
−0.674196 | − | 0.738552i | \(-0.735510\pi\) | |||||||
\(402\) | −10.9484 | + | 15.3194i | −0.546055 | + | 0.764064i | ||||
\(403\) | −7.19773 | − | 12.4668i | −0.358544 | − | 0.621017i | ||||
\(404\) | −6.62310 | −0.329511 | ||||||||
\(405\) | −2.86619 | − | 20.9491i | −0.142422 | − | 1.04097i | ||||
\(406\) | 4.47894 | − | 10.0411i | 0.222286 | − | 0.498329i | ||||
\(407\) | 45.2173 | − | 26.1062i | 2.24134 | − | 1.29404i | ||||
\(408\) | 1.78138 | − | 2.49258i | 0.0881913 | − | 0.123401i | ||||
\(409\) | −6.03355 | − | 3.48347i | −0.298340 | − | 0.172247i | 0.343357 | − | 0.939205i | \(-0.388436\pi\) |
−0.641697 | + | 0.766958i | \(0.721769\pi\) | |||||||
\(410\) | 16.2650 | + | 9.39060i | 0.803271 | + | 0.463769i | ||||
\(411\) | −13.7705 | − | 1.33865i | −0.679250 | − | 0.0660305i | ||||
\(412\) | 5.07471 | − | 2.92989i | 0.250013 | − | 0.144345i | ||||
\(413\) | 2.40314 | − | 5.38745i | 0.118251 | − | 0.265099i | ||||
\(414\) | 3.57043 | + | 10.4311i | 0.175477 | + | 0.512663i | ||||
\(415\) | −29.4750 | −1.44687 | ||||||||
\(416\) | −0.859925 | − | 1.48943i | −0.0421613 | − | 0.0730255i | ||||
\(417\) | 14.8818 | + | 32.7344i | 0.728766 | + | 1.60301i | ||||
\(418\) | −5.60106 | − | 3.23377i | −0.273957 | − | 0.158169i | ||||
\(419\) | 17.4232 | − | 30.1778i | 0.851177 | − | 1.47428i | −0.0289690 | − | 0.999580i | \(-0.509222\pi\) |
0.880146 | − | 0.474702i | \(-0.157444\pi\) | |||||||
\(420\) | 0.0766266 | + | 10.7658i | 0.00373900 | + | 0.525319i | ||||
\(421\) | 2.84597 | + | 4.92936i | 0.138704 | + | 0.240242i | 0.927006 | − | 0.375046i | \(-0.122373\pi\) |
−0.788302 | + | 0.615288i | \(0.789040\pi\) | |||||||
\(422\) | 10.3112i | 0.501942i | ||||||||
\(423\) | 23.2928 | − | 26.6966i | 1.13253 | − | 1.29803i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.459437 | − | 0.795769i | −0.0222860 | − | 0.0386005i | ||||
\(426\) | 0.757659 | − | 7.79396i | 0.0367087 | − | 0.377619i | ||||
\(427\) | 19.2732 | − | 13.9823i | 0.932696 | − | 0.676652i | ||||
\(428\) | 4.08386 | + | 2.35782i | 0.197401 | + | 0.113969i | ||||
\(429\) | −13.7578 | − | 9.83228i | −0.664231 | − | 0.474707i | ||||
\(430\) | 7.16396 | − | 4.13611i | 0.345477 | − | 0.199461i | ||||
\(431\) | − | 30.2936i | − | 1.45919i | −0.683880 | − | 0.729595i | \(-0.739709\pi\) | ||
0.683880 | − | 0.729595i | \(-0.260291\pi\) | |||||||
\(432\) | −5.05589 | + | 1.19917i | −0.243251 | + | 0.0576950i | ||||
\(433\) | 23.6094i | 1.13459i | 0.823513 | + | 0.567297i | \(0.192011\pi\) | ||||
−0.823513 | + | 0.567297i | \(0.807989\pi\) | |||||||
\(434\) | 22.0257 | − | 2.29950i | 1.05727 | − | 0.110380i | ||||
\(435\) | 9.83228 | − | 13.7578i | 0.471422 | − | 0.659634i | ||||
\(436\) | 2.11835 | − | 3.66908i | 0.101450 | − | 0.175717i | ||||
\(437\) | −2.09355 | + | 3.62614i | −0.100148 | + | 0.173462i | ||||
\(438\) | −0.895293 | + | 9.20979i | −0.0427787 | + | 0.440061i | ||||
\(439\) | −21.6681 | + | 12.5101i | −1.03416 | + | 0.597075i | −0.918175 | − | 0.396175i | \(-0.870337\pi\) |
−0.115989 | + | 0.993250i | \(0.537004\pi\) | |||||||
\(440\) | 13.3365 | 0.635794 | ||||||||
\(441\) | 10.7578 | + | 18.0352i | 0.512277 | + | 0.858820i | ||||
\(442\) | 3.04212 | 0.144699 | ||||||||
\(443\) | −19.9446 | + | 11.5150i | −0.947595 | + | 0.547094i | −0.892333 | − | 0.451377i | \(-0.850933\pi\) |
−0.0552622 | + | 0.998472i | \(0.517599\pi\) | |||||||
\(444\) | 14.5026 | − | 6.59321i | 0.688261 | − | 0.312900i | ||||
\(445\) | −1.36387 | + | 2.36229i | −0.0646537 | + | 0.111983i | ||||
\(446\) | −3.60456 | + | 6.24329i | −0.170681 | + | 0.295628i | ||||
\(447\) | 0.858568 | + | 1.88853i | 0.0406089 | + | 0.0893242i | ||||
\(448\) | 2.63145 | − | 0.274725i | 0.124324 | − | 0.0129796i | ||||
\(449\) | 15.9028i | 0.750501i | 0.926923 | + | 0.375251i | \(0.122443\pi\) | ||||
−0.926923 | + | 0.375251i | \(0.877557\pi\) | |||||||
\(450\) | −0.300160 | + | 1.52927i | −0.0141497 | + | 0.0720904i | ||||
\(451\) | − | 45.3804i | − | 2.13688i | ||||||
\(452\) | 5.91693 | − | 3.41614i | 0.278309 | − | 0.160682i | ||||
\(453\) | −2.55140 | + | 26.2460i | −0.119875 | + | 1.23315i | ||||
\(454\) | 11.0470 | + | 6.37800i | 0.518462 | + | 0.299334i | ||||
\(455\) | −8.65298 | + | 6.27756i | −0.405658 | + | 0.294297i | ||||
\(456\) | −1.60550 | − | 1.14740i | −0.0751842 | − | 0.0537321i | ||||
\(457\) | 2.83307 | + | 4.90702i | 0.132525 | + | 0.229541i | 0.924649 | − | 0.380819i | \(-0.124358\pi\) |
−0.792124 | + | 0.610360i | \(0.791025\pi\) | |||||||
\(458\) | 4.49418 | 0.209999 | ||||||||
\(459\) | 2.63455 | − | 8.80542i | 0.122970 | − | 0.411002i | ||||
\(460\) | − | 8.63411i | − | 0.402567i | ||||||
\(461\) | 15.7292 | + | 27.2438i | 0.732582 | + | 1.26887i | 0.955776 | + | 0.294095i | \(0.0950183\pi\) |
−0.223194 | + | 0.974774i | \(0.571648\pi\) | |||||||
\(462\) | 22.4354 | − | 13.1669i | 1.04379 | − | 0.612580i | ||||
\(463\) | 4.55148 | − | 7.88340i | 0.211525 | − | 0.366373i | −0.740667 | − | 0.671873i | \(-0.765490\pi\) |
0.952192 | + | 0.305500i | \(0.0988236\pi\) | |||||||
\(464\) | −3.59886 | − | 2.07781i | −0.167073 | − | 0.0964597i | ||||
\(465\) | 33.9002 | + | 3.29547i | 1.57209 | + | 0.152824i | ||||
\(466\) | −1.07702 | − | 1.86545i | −0.0498918 | − | 0.0864152i | ||||
\(467\) | 30.3032 | 1.40226 | 0.701132 | − | 0.713032i | \(-0.252678\pi\) | ||||
0.701132 | + | 0.713032i | \(0.252678\pi\) | |||||||
\(468\) | −3.88777 | − | 3.39208i | −0.179712 | − | 0.156799i | ||||
\(469\) | 11.7171 | − | 26.2678i | 0.541045 | − | 1.21293i | ||||
\(470\) | −24.0284 | + | 13.8728i | −1.10835 | + | 0.639906i | ||||
\(471\) | 7.18761 | + | 15.8100i | 0.331188 | + | 0.728487i | ||||
\(472\) | −1.93094 | − | 1.11483i | −0.0888788 | − | 0.0513142i | ||||
\(473\) | −17.3100 | − | 9.99395i | −0.795916 | − | 0.459522i | ||||
\(474\) | 9.33917 | + | 20.5426i | 0.428962 | + | 0.943555i | ||||
\(475\) | −0.512563 | + | 0.295928i | −0.0235180 | + | 0.0135781i | ||||
\(476\) | −1.90645 | + | 4.27396i | −0.0873821 | + | 0.195897i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 10.1419 | 0.463881 | ||||||||
\(479\) | 2.33143 | + | 4.03816i | 0.106526 | + | 0.184508i | 0.914361 | − | 0.404901i | \(-0.132694\pi\) |
−0.807835 | + | 0.589409i | \(0.799361\pi\) | |||||||
\(480\) | 4.05012 | + | 0.393716i | 0.184862 | + | 0.0179706i | ||||
\(481\) | 13.6994 | + | 7.90935i | 0.624639 | + | 0.360636i | ||||
\(482\) | 5.27404 | − | 9.13490i | 0.240226 | − | 0.416083i | ||||
\(483\) | −8.52429 | − | 14.5248i | −0.387869 | − | 0.660900i | ||||
\(484\) | −10.6123 | − | 18.3810i | −0.482377 | − | 0.835501i | ||||
\(485\) | 10.7844i | 0.489693i | ||||||||
\(486\) | −13.1853 | + | 8.31554i | −0.598097 | + | 0.377201i | ||||
\(487\) | −19.4821 | −0.882818 | −0.441409 | − | 0.897306i | \(-0.645521\pi\) | ||||
−0.441409 | + | 0.897306i | \(0.645521\pi\) | |||||||
\(488\) | −4.49985 | − | 7.79396i | −0.203699 | − | 0.352816i | ||||
\(489\) | −16.9145 | − | 12.0883i | −0.764900 | − | 0.546652i | ||||
\(490\) | −3.39682 | − | 16.0909i | −0.153453 | − | 0.726912i | ||||
\(491\) | −17.7437 | − | 10.2443i | −0.800762 | − | 0.462320i | 0.0429758 | − | 0.999076i | \(-0.486316\pi\) |
−0.843737 | + | 0.536756i | \(0.819649\pi\) | |||||||
\(492\) | 1.33970 | − | 13.7814i | 0.0603984 | − | 0.621312i | ||||
\(493\) | 6.36577 | − | 3.67528i | 0.286700 | − | 0.165526i | ||||
\(494\) | − | 1.95946i | − | 0.0881602i | ||||||
\(495\) | 37.8535 | − | 12.9567i | 1.70139 | − | 0.582361i | ||||
\(496\) | − | 8.37019i | − | 0.375832i | ||||||
\(497\) | 1.24205 | + | 11.8969i | 0.0557135 | + | 0.533651i | ||||
\(498\) | 8.99332 | + | 19.7819i | 0.403000 | + | 0.886449i | ||||
\(499\) | 5.12598 | − | 8.87845i | 0.229470 | − | 0.397454i | −0.728181 | − | 0.685385i | \(-0.759634\pi\) |
0.957651 | + | 0.287931i | \(0.0929673\pi\) | |||||||
\(500\) | −5.26317 | + | 9.11608i | −0.235376 | + | 0.407683i | ||||
\(501\) | 27.0405 | − | 12.2932i | 1.20808 | − | 0.549221i | ||||
\(502\) | −25.3749 | + | 14.6502i | −1.13254 | + | 0.653872i | ||||
\(503\) | 14.5521 | 0.648845 | 0.324422 | − | 0.945912i | \(-0.394830\pi\) | ||||
0.324422 | + | 0.945912i | \(0.394830\pi\) | |||||||
\(504\) | 7.20203 | − | 3.33627i | 0.320804 | − | 0.148609i | ||||
\(505\) | 15.5600 | 0.692412 | ||||||||
\(506\) | −18.0673 | + | 10.4311i | −0.803188 | + | 0.463721i | ||||
\(507\) | −1.68290 | + | 17.3119i | −0.0747403 | + | 0.768846i | ||||
\(508\) | −3.33834 | + | 5.78217i | −0.148115 | + | 0.256542i | ||||
\(509\) | 16.6617 | − | 28.8589i | 0.738517 | − | 1.27915i | −0.214646 | − | 0.976692i | \(-0.568860\pi\) |
0.953163 | − | 0.302457i | \(-0.0978068\pi\) | |||||||
\(510\) | −4.18509 | + | 5.85596i | −0.185319 | + | 0.259306i | ||||
\(511\) | −1.46768 | − | 14.0581i | −0.0649262 | − | 0.621894i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −5.67166 | − | 1.69694i | −0.250410 | − | 0.0749218i | ||||
\(514\) | 7.62860i | 0.336483i | ||||||||
\(515\) | −11.9223 | + | 6.88335i | −0.525360 | + | 0.303317i | ||||
\(516\) | −4.96177 | − | 3.54604i | −0.218430 | − | 0.156106i | ||||
\(517\) | 58.0591 | + | 33.5204i | 2.55343 | + | 1.47423i | ||||
\(518\) | −19.6973 | + | 14.2900i | −0.865450 | + | 0.627866i | ||||
\(519\) | −0.333070 | + | 3.42626i | −0.0146202 | + | 0.150396i | ||||
\(520\) | 2.02027 | + | 3.49921i | 0.0885947 | + | 0.153451i | ||||
\(521\) | 6.53925 | 0.286490 | 0.143245 | − | 0.989687i | \(-0.454246\pi\) | ||||
0.143245 | + | 0.989687i | \(0.454246\pi\) | |||||||
\(522\) | −12.2334 | − | 2.40114i | −0.535442 | − | 0.105095i | ||||
\(523\) | − | 0.786858i | − | 0.0344069i | −0.999852 | − | 0.0172034i | \(-0.994524\pi\) | ||
0.999852 | − | 0.0172034i | \(-0.00547630\pi\) | |||||||
\(524\) | 3.73653 | + | 6.47185i | 0.163231 | + | 0.282724i | ||||
\(525\) | −0.0169434 | − | 2.38051i | −0.000739472 | − | 0.103894i | ||||
\(526\) | 6.09281 | − | 10.5531i | 0.265659 | − | 0.460135i | ||||
\(527\) | 12.8219 | + | 7.40271i | 0.558530 | + | 0.322467i | ||||
\(528\) | −4.06921 | − | 8.95072i | −0.177090 | − | 0.389530i | ||||
\(529\) | −4.74685 | − | 8.22178i | −0.206385 | − | 0.357469i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.56374 | − | 1.28831i | −0.284842 | − | 0.0559079i | ||||
\(532\) | 2.75290 | + | 1.22797i | 0.119353 | + | 0.0532391i | ||||
\(533\) | 11.9068 | − | 6.87440i | 0.515741 | − | 0.297763i | ||||
\(534\) | 2.00158 | + | 0.194575i | 0.0866167 | + | 0.00842009i | ||||
\(535\) | −9.59445 | − | 5.53936i | −0.414804 | − | 0.239487i | ||||
\(536\) | −9.41477 | − | 5.43562i | −0.406656 | − | 0.234783i | ||||
\(537\) | 8.37019 | − | 11.7119i | 0.361200 | − | 0.505407i | ||||
\(538\) | 2.40264 | − | 1.38717i | 0.103585 | − | 0.0598050i | ||||
\(539\) | −29.5671 | + | 26.5479i | −1.27354 | + | 1.14350i | ||||
\(540\) | 11.8781 | − | 2.81728i | 0.511152 | − | 0.121236i | ||||
\(541\) | 5.60454 | 0.240958 | 0.120479 | − | 0.992716i | \(-0.461557\pi\) | ||||
0.120479 | + | 0.992716i | \(0.461557\pi\) | |||||||
\(542\) | 1.60396 | + | 2.77815i | 0.0688961 | + | 0.119332i | ||||
\(543\) | −15.5638 | + | 21.7775i | −0.667905 | + | 0.934561i | ||||
\(544\) | 1.53185 | + | 0.884414i | 0.0656775 | + | 0.0379189i | ||||
\(545\) | −4.97675 | + | 8.61999i | −0.213181 | + | 0.369240i | ||||
\(546\) | 6.85331 | + | 3.89199i | 0.293295 | + | 0.166562i | ||||
\(547\) | −6.91456 | − | 11.9764i | −0.295645 | − | 0.512073i | 0.679489 | − | 0.733685i | \(-0.262201\pi\) |
−0.975135 | + | 0.221612i | \(0.928868\pi\) | |||||||
\(548\) | − | 7.98789i | − | 0.341226i | ||||||
\(549\) | −20.3441 | − | 17.7502i | −0.868264 | − | 0.757559i | ||||
\(550\) | −2.94893 | −0.125743 | ||||||||
\(551\) | −2.36729 | − | 4.10026i | −0.100850 | − | 0.174677i | ||||
\(552\) | −5.79472 | + | 2.63442i | −0.246640 | + | 0.112128i | ||||
\(553\) | −20.2415 | − | 27.9009i | −0.860758 | − | 1.18647i | ||||
\(554\) | 8.73047 | + | 5.04054i | 0.370922 | + | 0.214152i | ||||
\(555\) | −34.0717 | + | 15.4898i | −1.44626 | + | 0.657506i | ||||
\(556\) | −17.9792 | + | 10.3803i | −0.762488 | + | 0.440223i | ||||
\(557\) | 27.8233i | 1.17891i | 0.807800 | + | 0.589456i | \(0.200658\pi\) | ||||
−0.807800 | + | 0.589456i | \(0.799342\pi\) | |||||||
\(558\) | −8.13181 | − | 23.7574i | −0.344247 | − | 1.00573i | ||||
\(559\) | − | 6.05569i | − | 0.256128i | ||||||
\(560\) | −6.18222 | + | 0.645428i | −0.261246 | + | 0.0272743i | ||||
\(561\) | 17.3100 | + | 1.68272i | 0.730830 | + | 0.0710447i | ||||
\(562\) | −2.43641 | + | 4.21999i | −0.102774 | + | 0.178009i | ||||
\(563\) | −12.2650 | + | 21.2436i | −0.516909 | + | 0.895312i | 0.482898 | + | 0.875676i | \(0.339584\pi\) |
−0.999807 | + | 0.0196359i | \(0.993749\pi\) | |||||||
\(564\) | 16.6421 | + | 11.8937i | 0.700760 | + | 0.500814i | ||||
\(565\) | −13.9010 | + | 8.02574i | −0.584819 | + | 0.337645i | ||||
\(566\) | −2.81781 | −0.118441 | ||||||||
\(567\) | 17.2005 | − | 16.4664i | 0.722354 | − | 0.691523i | ||||
\(568\) | 4.52106 | 0.189699 | ||||||||
\(569\) | −23.4762 | + | 13.5540i | −0.984172 | + | 0.568212i | −0.903527 | − | 0.428531i | \(-0.859031\pi\) |
−0.0806449 | + | 0.996743i | \(0.525698\pi\) | |||||||
\(570\) | 3.77188 | + | 2.69566i | 0.157987 | + | 0.112909i | ||||
\(571\) | 14.9177 | − | 25.8382i | 0.624287 | − | 1.08130i | −0.364391 | − | 0.931246i | \(-0.618723\pi\) |
0.988678 | − | 0.150051i | \(-0.0479438\pi\) | |||||||
\(572\) | 4.88151 | − | 8.45502i | 0.204106 | − | 0.353522i | ||||
\(573\) | −21.2699 | − | 2.06767i | −0.888563 | − | 0.0863781i | ||||
\(574\) | 2.19621 | + | 21.0363i | 0.0916679 | + | 0.878038i | ||||
\(575\) | 1.90915i | 0.0796169i | ||||||||
\(576\) | −0.971521 | − | 2.83834i | −0.0404800 | − | 0.118264i | ||||
\(577\) | − | 28.1666i | − | 1.17259i | −0.810097 | − | 0.586296i | \(-0.800585\pi\) | ||
0.810097 | − | 0.586296i | \(-0.199415\pi\) | |||||||
\(578\) | 12.0129 | − | 6.93562i | 0.499669 | − | 0.288484i | ||||
\(579\) | 6.92807 | − | 3.14967i | 0.287921 | − | 0.130896i | ||||
\(580\) | 8.45502 | + | 4.88151i | 0.351076 | + | 0.202694i | ||||
\(581\) | −19.4920 | − | 26.8677i | −0.808663 | − | 1.11466i | ||||
\(582\) | 7.23785 | − | 3.29050i | 0.300018 | − | 0.136395i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −5.34234 | −0.221068 | ||||||||
\(585\) | 9.13376 | + | 7.96920i | 0.377635 | + | 0.329486i | ||||
\(586\) | 8.11389i | 0.335182i | ||||||||
\(587\) | −4.95928 | − | 8.58973i | −0.204692 | − | 0.354536i | 0.745343 | − | 0.666681i | \(-0.232286\pi\) |
−0.950034 | + | 0.312145i | \(0.898952\pi\) | |||||||
\(588\) | −9.76284 | + | 7.18936i | −0.402613 | + | 0.296484i | ||||
\(589\) | 4.76816 | − | 8.25870i | 0.196469 | − | 0.340294i | ||||
\(590\) | 4.53648 | + | 2.61914i | 0.186764 | + | 0.107828i | ||||
\(591\) | 10.9637 | − | 15.3409i | 0.450988 | − | 0.631042i | ||||
\(592\) | 4.59886 | + | 7.96547i | 0.189012 | + | 0.327379i | ||||
\(593\) | 4.69872 | 0.192953 | 0.0964766 | − | 0.995335i | \(-0.469243\pi\) | ||||
0.0964766 | + | 0.995335i | \(0.469243\pi\) | |||||||
\(594\) | −20.2456 | − | 21.4518i | −0.830686 | − | 0.880178i | ||||
\(595\) | 4.47894 | − | 10.0411i | 0.183619 | − | 0.411643i | ||||
\(596\) | −1.03726 | + | 0.598865i | −0.0424880 | + | 0.0245305i | ||||
\(597\) | 27.7621 | − | 38.8459i | 1.13623 | − | 1.58986i | ||||
\(598\) | −5.47381 | − | 3.16030i | −0.223841 | − | 0.129234i | ||||
\(599\) | 12.7309 | + | 7.35019i | 0.520170 | + | 0.300320i | 0.737004 | − | 0.675888i | \(-0.236240\pi\) |
−0.216834 | + | 0.976208i | \(0.569573\pi\) | |||||||
\(600\) | −0.895548 | − | 0.0870571i | −0.0365606 | − | 0.00355409i | ||||
\(601\) | −16.2923 | + | 9.40634i | −0.664575 | + | 0.383693i | −0.794018 | − | 0.607894i | \(-0.792014\pi\) |
0.129443 | + | 0.991587i | \(0.458681\pi\) | |||||||
\(602\) | 8.50781 | + | 3.79502i | 0.346752 | + | 0.154673i | ||||
\(603\) | −32.0031 | − | 6.28147i | −1.30327 | − | 0.255801i | ||||
\(604\) | −15.2246 | −0.619480 | ||||||||
\(605\) | 24.9321 | + | 43.1836i | 1.01363 | + | 1.75566i | ||||
\(606\) | −4.74763 | − | 10.4430i | −0.192859 | − | 0.424218i | ||||
\(607\) | −10.9051 | − | 6.29608i | −0.442625 | − | 0.255550i | 0.262085 | − | 0.965045i | \(-0.415590\pi\) |
−0.704711 | + | 0.709495i | \(0.748923\pi\) | |||||||
\(608\) | 0.569660 | − | 0.986680i | 0.0231028 | − | 0.0400152i | ||||
\(609\) | 19.0429 | − | 0.135539i | 0.771658 | − | 0.00549233i | ||||
\(610\) | 10.5718 | + | 18.3108i | 0.428038 | + | 0.741383i | ||||
\(611\) | 20.3112i | 0.821704i | ||||||||
\(612\) | 5.20713 | + | 1.02204i | 0.210486 | + | 0.0413135i | ||||
\(613\) | −9.82017 | −0.396633 | −0.198317 | − | 0.980138i | \(-0.563547\pi\) | ||||
−0.198317 | + | 0.980138i | \(0.563547\pi\) | |||||||
\(614\) | −5.44981 | − | 9.43935i | −0.219937 | − | 0.380941i | ||||
\(615\) | −3.14744 | + | 32.3774i | −0.126917 | + | 1.30558i | ||||
\(616\) | 8.81952 | + | 12.1568i | 0.355349 | + | 0.489812i | ||||
\(617\) | −3.25158 | − | 1.87730i | −0.130904 | − | 0.0755772i | 0.433118 | − | 0.901337i | \(-0.357413\pi\) |
−0.564022 | + | 0.825760i | \(0.690747\pi\) | |||||||
\(618\) | 8.25742 | + | 5.90135i | 0.332162 | + | 0.237387i | ||||
\(619\) | −9.56902 | + | 5.52468i | −0.384611 | + | 0.222055i | −0.679823 | − | 0.733376i | \(-0.737943\pi\) |
0.295211 | + | 0.955432i | \(0.404610\pi\) | |||||||
\(620\) | 19.6646i | 0.789748i | ||||||||
\(621\) | −13.8880 | + | 13.1071i | −0.557305 | + | 0.525968i | ||||
\(622\) | − | 8.23637i | − | 0.330248i | ||||||
\(623\) | −3.05527 | + | 0.318972i | −0.122407 | + | 0.0127794i | ||||
\(624\) | 1.73205 | − | 2.42356i | 0.0693375 | − | 0.0970201i | ||||
\(625\) | 13.6638 | − | 23.6664i | 0.546551 | − | 0.946654i | ||||
\(626\) | −16.9011 | + | 29.2736i | −0.675505 | + | 1.17001i | ||||
\(627\) | 1.08386 | − | 11.1496i | 0.0432852 | − | 0.445270i | ||||
\(628\) | −8.68358 | + | 5.01347i | −0.346513 | + | 0.200059i | ||||
\(629\) | −16.2692 | −0.648696 | ||||||||
\(630\) | −16.9202 | + | 7.83810i | −0.674115 | + | 0.312277i | ||||
\(631\) | 19.4921 | 0.775969 | 0.387984 | − | 0.921666i | \(-0.373171\pi\) | ||||
0.387984 | + | 0.921666i | \(0.373171\pi\) | |||||||
\(632\) | −11.2830 | + | 6.51422i | −0.448812 | + | 0.259122i | ||||
\(633\) | −16.2583 | + | 7.39139i | −0.646208 | + | 0.293781i | ||||
\(634\) | −3.36545 | + | 5.82913i | −0.133659 | + | 0.231504i | ||||
\(635\) | 7.84294 | − | 13.5844i | 0.311238 | − | 0.539080i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −11.4445 | − | 3.73617i | −0.453449 | − | 0.148032i | ||||
\(638\) | − | 23.5900i | − | 0.933938i | ||||||
\(639\) | 12.8323 | − | 4.39230i | 0.507637 | − | 0.173757i | ||||
\(640\) | 2.34936i | 0.0928665i | ||||||||
\(641\) | −22.6669 | + | 13.0868i | −0.895290 | + | 0.516896i | −0.875669 | − | 0.482912i | \(-0.839579\pi\) |
−0.0196208 | + | 0.999807i | \(0.506246\pi\) | |||||||
\(642\) | −0.790267 | + | 8.12940i | −0.0311893 | + | 0.320842i | ||||
\(643\) | −9.50955 | − | 5.49034i | −0.375020 | − | 0.216518i | 0.300629 | − | 0.953741i | \(-0.402803\pi\) |
−0.675649 | + | 0.737223i | \(0.736137\pi\) | |||||||
\(644\) | 7.87036 | − | 5.70979i | 0.310136 | − | 0.224997i | ||||
\(645\) | 11.6570 | + | 8.33092i | 0.458993 | + | 0.328029i | ||||
\(646\) | 1.00763 | + | 1.74527i | 0.0396447 | + | 0.0686666i | ||||
\(647\) | −32.0126 | −1.25855 | −0.629273 | − | 0.777185i | \(-0.716647\pi\) | ||||
−0.629273 | + | 0.777185i | \(0.716647\pi\) | |||||||
\(648\) | −5.51501 | − | 7.11229i | −0.216650 | − | 0.279397i | ||||
\(649\) | − | 12.6570i | − | 0.496833i | ||||||
\(650\) | −0.446715 | − | 0.773734i | −0.0175216 | − | 0.0303483i | ||||
\(651\) | 19.4144 | + | 33.0808i | 0.760912 | + | 1.29654i | ||||
\(652\) | 6.00158 | − | 10.3950i | 0.235040 | − | 0.407101i | ||||
\(653\) | 19.3686 | + | 11.1825i | 0.757952 | + | 0.437604i | 0.828560 | − | 0.559900i | \(-0.189161\pi\) |
−0.0706080 | + | 0.997504i | \(0.522494\pi\) | |||||||
\(654\) | 7.30374 | + | 0.710004i | 0.285599 | + | 0.0277633i | ||||
\(655\) | −8.77843 | − | 15.2047i | −0.343002 | − | 0.594097i | ||||
\(656\) | 7.99419 | 0.312121 | ||||||||
\(657\) | −15.1634 | + | 5.19020i | −0.591579 | + | 0.202489i | ||||
\(658\) | −28.5358 | − | 12.7288i | −1.11244 | − | 0.496219i | ||||
\(659\) | −19.2546 | + | 11.1166i | −0.750053 | + | 0.433043i | −0.825713 | − | 0.564091i | \(-0.809227\pi\) |
0.0756603 | + | 0.997134i | \(0.475894\pi\) | |||||||
\(660\) | 9.56002 | + | 21.0284i | 0.372123 | + | 0.818531i | ||||
\(661\) | 9.13646 | + | 5.27494i | 0.355367 | + | 0.205171i | 0.667047 | − | 0.745016i | \(-0.267558\pi\) |
−0.311679 | + | 0.950187i | \(0.600892\pi\) | |||||||
\(662\) | −27.7621 | − | 16.0284i | −1.07900 | − | 0.622963i | ||||
\(663\) | 2.18068 | + | 4.79667i | 0.0846907 | + | 0.186287i | ||||
\(664\) | −10.8651 | + | 6.27298i | −0.421649 | + | 0.243439i | ||||
\(665\) | −6.46754 | − | 2.88493i | −0.250801 | − | 0.111873i | ||||
\(666\) | 20.7917 | + | 18.1408i | 0.805664 | + | 0.702941i | ||||
\(667\) | −15.2723 | −0.591344 | ||||||||
\(668\) | 8.57472 | + | 14.8518i | 0.331766 | + | 0.574635i | ||||
\(669\) | −12.4280 | − | 1.20814i | −0.480494 | − | 0.0467093i | ||||
\(670\) | 22.1187 | + | 12.7702i | 0.854519 | + | 0.493357i | ||||
\(671\) | 25.5442 | − | 44.2438i | 0.986121 | − | 1.70801i | ||||
\(672\) | 2.31948 | + | 3.95222i | 0.0894757 | + | 0.152460i | ||||
\(673\) | 9.93562 | + | 17.2090i | 0.382990 | + | 0.663358i | 0.991488 | − | 0.130197i | \(-0.0415610\pi\) |
−0.608498 | + | 0.793555i | \(0.708228\pi\) | |||||||
\(674\) | − | 24.2246i | − | 0.933096i | ||||||
\(675\) | −2.62644 | + | 0.622947i | −0.101092 | + | 0.0239772i | ||||
\(676\) | −10.0421 | −0.386235 | ||||||||
\(677\) | 7.96449 | + | 13.7949i | 0.306100 | + | 0.530181i | 0.977506 | − | 0.210909i | \(-0.0676424\pi\) |
−0.671405 | + | 0.741090i | \(0.734309\pi\) | |||||||
\(678\) | 9.62785 | + | 6.88075i | 0.369755 | + | 0.264254i | ||||
\(679\) | −9.83041 | + | 7.13176i | −0.377256 | + | 0.273692i | ||||
\(680\) | −3.59886 | − | 2.07781i | −0.138010 | − | 0.0796802i | ||||
\(681\) | −2.13771 | + | 21.9904i | −0.0819171 | + | 0.842673i | ||||
\(682\) | 41.1490 | − | 23.7574i | 1.57568 | − | 0.909718i | ||||
\(683\) | − | 19.0269i | − | 0.728042i | −0.931391 | − | 0.364021i | \(-0.881404\pi\) | ||
0.931391 | − | 0.364021i | \(-0.118596\pi\) | |||||||
\(684\) | 0.658305 | − | 3.35397i | 0.0251709 | − | 0.128242i | ||||
\(685\) | 18.7664i | 0.717028i | ||||||||
\(686\) | 12.4212 | − | 13.7373i | 0.474243 | − | 0.524494i | ||||
\(687\) | 3.22157 | + | 7.08623i | 0.122910 | + | 0.270356i | ||||
\(688\) | 1.76053 | − | 3.04933i | 0.0671196 | − | 0.116254i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 13.6139 | − | 6.18919i | 0.518271 | − | 0.235618i | ||||
\(691\) | −0.139477 | + | 0.0805273i | −0.00530597 | + | 0.00306340i | −0.502651 | − | 0.864490i | \(-0.667642\pi\) |
0.497345 | + | 0.867553i | \(0.334308\pi\) | |||||||
\(692\) | −1.98748 | −0.0755525 | ||||||||
\(693\) | 36.8434 | + | 25.9368i | 1.39956 | + | 0.985256i | ||||
\(694\) | −22.7999 | −0.865471 | ||||||||
\(695\) | 42.2396 | − | 24.3870i | 1.60224 | − | 0.925053i | ||||
\(696\) | 0.696415 | − | 7.16396i | 0.0263976 | − | 0.271549i | ||||
\(697\) | −7.07017 | + | 12.2459i | −0.267802 | + | 0.463847i | ||||
\(698\) | −1.42253 | + | 2.46389i | −0.0538434 | + | 0.0932595i | ||||
\(699\) | 2.16932 | − | 3.03540i | 0.0820511 | − | 0.114809i | ||||
\(700\) | 1.36699 | − | 0.142715i | 0.0516674 | − | 0.00539412i | ||||
\(701\) | 9.98234i | 0.377028i | 0.982071 | + | 0.188514i | \(0.0603670\pi\) | ||||
−0.982071 | + | 0.188514i | \(0.939633\pi\) | |||||||
\(702\) | 2.56160 | − | 8.56160i | 0.0966814 | − | 0.323137i | ||||
\(703\) | 10.4792i | 0.395229i | ||||||||
\(704\) | 4.91614 | − | 2.83834i | 0.185284 | − | 0.106974i | ||||
\(705\) | −39.0983 | − | 27.9425i | −1.47253 | − | 1.05237i | ||||
\(706\) | −6.18709 | − | 3.57212i | −0.232854 | − | 0.134438i | ||||
\(707\) | 10.2899 | + | 14.1836i | 0.386993 | + | 0.533430i | ||||
\(708\) | 0.373656 | − | 3.84377i | 0.0140429 | − | 0.144458i | ||||
\(709\) | 12.1962 | + | 21.1244i | 0.458036 | + | 0.793342i | 0.998857 | − | 0.0477959i | \(-0.0152197\pi\) |
−0.540821 | + | 0.841138i | \(0.681886\pi\) | |||||||
\(710\) | −10.6216 | −0.398621 | ||||||||
\(711\) | −25.6961 | + | 29.4512i | −0.963679 | + | 1.10450i | ||||
\(712\) | 1.16106i | 0.0435125i | ||||||||
\(713\) | −15.3806 | − | 26.6400i | −0.576008 | − | 0.997676i | ||||
\(714\) | −8.10559 | + | 0.0576921i | −0.303344 | + | 0.00215907i | ||||
\(715\) | −11.4684 | + | 19.8639i | −0.428894 | + | 0.742867i | ||||
\(716\) | 7.19773 | + | 4.15561i | 0.268992 | + | 0.155302i | ||||
\(717\) | 7.27004 | + | 15.9913i | 0.271504 | + | 0.597207i | ||||
\(718\) | −5.80186 | − | 10.0491i | −0.216523 | − | 0.375030i | ||||
\(719\) | 16.2692 | 0.606739 | 0.303370 | − | 0.952873i | \(-0.401888\pi\) | ||||
0.303370 | + | 0.952873i | \(0.401888\pi\) | |||||||
\(720\) | 2.28245 | + | 6.66826i | 0.0850619 | + | 0.248512i | ||||
\(721\) | −14.1588 | − | 6.31570i | −0.527300 | − | 0.235209i | ||||
\(722\) | −15.3303 | + | 8.85097i | −0.570536 | + | 0.329399i | ||||
\(723\) | 18.1841 | + | 1.76769i | 0.676274 | + | 0.0657412i | ||||
\(724\) | −13.3837 | − | 7.72706i | −0.497400 | − | 0.287174i | ||||
\(725\) | −1.86955 | − | 1.07938i | −0.0694332 | − | 0.0400873i | ||||
\(726\) | 21.3752 | − | 29.9091i | 0.793307 | − | 1.11003i | ||||
\(727\) | −20.6626 | + | 11.9296i | −0.766335 | + | 0.442444i | −0.831566 | − | 0.555427i | \(-0.812555\pi\) |
0.0652306 | + | 0.997870i | \(0.479222\pi\) | |||||||
\(728\) | −1.85366 | + | 4.15561i | −0.0687013 | + | 0.154017i | ||||
\(729\) | −22.5632 | − | 14.8291i | −0.835673 | − | 0.549227i | ||||
\(730\) | 12.5511 | 0.464536 | ||||||||
\(731\) | 3.11408 | + | 5.39374i | 0.115178 | + | 0.199495i | ||||
\(732\) | 9.06354 | − | 12.6821i | 0.334998 | − | 0.468744i | ||||
\(733\) | −10.6259 | − | 6.13486i | −0.392476 | − | 0.226596i | 0.290756 | − | 0.956797i | \(-0.406093\pi\) |
−0.683233 | + | 0.730201i | \(0.739426\pi\) | |||||||
\(734\) | 3.91747 | − | 6.78525i | 0.144596 | − | 0.250448i | ||||
\(735\) | 22.9364 | − | 16.8904i | 0.846022 | − | 0.623011i | ||||
\(736\) | −1.83755 | − | 3.18272i | −0.0677329 | − | 0.117317i | ||||
\(737\) | − | 61.7125i | − | 2.27321i | ||||||
\(738\) | 22.6902 | − | 7.76652i | 0.835237 | − | 0.285890i | ||||
\(739\) | 41.8891 | 1.54092 | 0.770459 | − | 0.637490i | \(-0.220027\pi\) | ||||
0.770459 | + | 0.637490i | \(0.220027\pi\) | |||||||
\(740\) | −10.8044 | − | 18.7137i | −0.397177 | − | 0.687931i | ||||
\(741\) | 3.08959 | − | 1.40460i | 0.113499 | − | 0.0515992i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 43.9160 | + | 25.3549i | 1.61112 | + | 0.930182i | 0.989111 | + | 0.147173i | \(0.0470176\pi\) |
0.622011 | + | 0.783008i | \(0.286316\pi\) | |||||||
\(744\) | 13.1977 | − | 6.00000i | 0.483852 | − | 0.219971i | ||||
\(745\) | 2.43690 | − | 1.40695i | 0.0892813 | − | 0.0515466i | ||||
\(746\) | − | 25.6677i | − | 0.939762i | ||||||
\(747\) | −24.7445 | + | 28.3605i | −0.905355 | + | 1.03766i | ||||
\(748\) | 10.0411i | 0.367137i | ||||||||
\(749\) | −1.29550 | − | 12.4090i | −0.0473367 | − | 0.453413i | ||||
\(750\) | −18.1466 | − | 1.76405i | −0.662621 | − | 0.0644140i | ||||
\(751\) | 16.3683 | − | 28.3508i | 0.597289 | − | 1.03454i | −0.395930 | − | 0.918281i | \(-0.629578\pi\) |
0.993219 | − | 0.116255i | \(-0.0370890\pi\) | |||||||
\(752\) | −5.90494 | + | 10.2277i | −0.215331 | + | 0.372964i | ||||
\(753\) | −41.2893 | − | 29.5083i | −1.50467 | − | 1.07534i | ||||
\(754\) | 6.18951 | − | 3.57351i | 0.225408 | − | 0.130140i | ||||
\(755\) | 35.7680 | 1.30173 | ||||||||
\(756\) | 10.4231 | + | 8.96430i | 0.379085 | + | 0.326028i | ||||
\(757\) | −17.9255 | −0.651512 | −0.325756 | − | 0.945454i | \(-0.605619\pi\) | ||||
−0.325756 | + | 0.945454i | \(0.605619\pi\) | |||||||
\(758\) | 13.0809 | − | 7.55227i | 0.475120 | − | 0.274311i | ||||
\(759\) | −29.3985 | − | 21.0103i | −1.06710 | − | 0.762626i | ||||
\(760\) | −1.33834 | + | 2.31806i | −0.0485465 | + | 0.0840850i | ||||
\(761\) | −21.8509 | + | 37.8469i | −0.792096 | + | 1.37195i | 0.132571 | + | 0.991174i | \(0.457677\pi\) |
−0.924667 | + | 0.380777i | \(0.875657\pi\) | |||||||
\(762\) | −11.5101 | − | 1.11891i | −0.416966 | − | 0.0405337i | ||||
\(763\) | −11.1486 | + | 1.16393i | −0.403608 | + | 0.0421370i | ||||
\(764\) | − | 12.3381i | − | 0.446376i | ||||||
\(765\) | −12.2334 | − | 2.40114i | −0.442300 | − | 0.0868132i | ||||
\(766\) | − | 1.52664i | − | 0.0551599i | ||||||
\(767\) | 3.32093 | − | 1.91734i | 0.119912 | − | 0.0692311i | ||||
\(768\) | 1.57675 | − | 0.716830i | 0.0568962 | − | 0.0258664i | ||||
\(769\) | 37.0864 | + | 21.4118i | 1.33737 | + | 0.772131i | 0.986417 | − | 0.164262i | \(-0.0525242\pi\) |
0.350953 | + | 0.936393i | \(0.385858\pi\) | |||||||
\(770\) | −20.7202 | − | 28.5607i | −0.746705 | − | 1.02926i | ||||
\(771\) | −12.0284 | + | 5.46841i | −0.433193 | + | 0.196940i | ||||
\(772\) | 2.19694 | + | 3.80521i | 0.0790696 | + | 0.136953i | ||||
\(773\) | 21.6051 | 0.777080 | 0.388540 | − | 0.921432i | \(-0.372980\pi\) | ||||
0.388540 | + | 0.921432i | \(0.372980\pi\) | |||||||
\(774\) | 2.03449 | − | 10.3654i | 0.0731281 | − | 0.372577i | ||||
\(775\) | − | 4.34816i | − | 0.156191i | ||||||
\(776\) | 2.29517 | + | 3.97536i | 0.0823919 | + | 0.142707i | ||||
\(777\) | −36.6514 | − | 20.8143i | −1.31486 | − | 0.746709i | ||||
\(778\) | −7.44483 | + | 12.8948i | −0.266910 | + | 0.462302i | ||||
\(779\) | 7.88771 | + | 4.55397i | 0.282606 | + | 0.163163i | ||||
\(780\) | −4.06921 | + | 5.69381i | −0.145701 | + | 0.203871i | ||||
\(781\) | 12.8323 | + | 22.2262i | 0.459175 | + | 0.795315i | ||||
\(782\) | 6.50061 | 0.232461 | ||||||||
\(783\) | −4.98328 | − | 21.0103i | −0.178088 | − | 0.750847i | ||||
\(784\) | −4.67667 | − | 5.20853i | −0.167024 | − | 0.186019i | ||||
\(785\) | 20.4008 | − | 11.7784i | 0.728137 | − | 0.420390i | ||||
\(786\) | −7.52607 | + | 10.5308i | −0.268446 | + | 0.375621i | ||||
\(787\) | 44.4307 | + | 25.6521i | 1.58378 | + | 0.914398i | 0.994300 | + | 0.106618i | \(0.0340020\pi\) |
0.589484 | + | 0.807780i | \(0.299331\pi\) | |||||||
\(788\) | 9.42799 | + | 5.44325i | 0.335858 | + | 0.193908i | ||||
\(789\) | 21.0071 | + | 2.04212i | 0.747872 | + | 0.0727014i | ||||
\(790\) | 26.5077 | − | 15.3042i | 0.943102 | − | 0.544500i | ||||
\(791\) | −16.5086 | − | 7.36387i | −0.586978 | − | 0.261829i | ||||
\(792\) | 11.1962 | − | 12.8323i | 0.397838 | − | 0.455975i | ||||
\(793\) | 15.4781 | 0.549644 | ||||||||
\(794\) | −14.3935 | − | 24.9302i | −0.510805 | − | 0.884740i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 23.8733 | + | 13.7832i | 0.846166 | + | 0.488534i | ||||
\(797\) | 0.899094 | − | 1.55728i | 0.0318476 | − | 0.0551616i | −0.849662 | − | 0.527327i | \(-0.823194\pi\) |
0.881510 | + | 0.472166i | \(0.156528\pi\) | |||||||
\(798\) | 0.0371601 | + | 5.22089i | 0.00131545 | + | 0.184817i | ||||
\(799\) | −10.4448 | − | 18.0910i | −0.369512 | − | 0.640013i | ||||
\(800\) | − | 0.519482i | − | 0.0183665i | ||||||
\(801\) | 1.12799 | + | 3.29547i | 0.0398557 | + | 0.116440i | ||||
\(802\) | 38.1735 | 1.34795 | ||||||||
\(803\) | −15.1634 | − | 26.2637i | −0.535103 | − | 0.926826i | ||||
\(804\) | 1.82185 | − | 18.7412i | 0.0642517 | − | 0.660951i | ||||
\(805\) | −18.4903 | + | 13.4143i | −0.651697 | + | 0.472793i | ||||
\(806\) | 12.4668 | + | 7.19773i | 0.439125 | + | 0.253529i | ||||
\(807\) | 3.90951 | + | 2.79402i | 0.137621 | + | 0.0983541i | ||||
\(808\) | 5.73577 | − | 3.31155i | 0.201784 | − | 0.116500i | ||||
\(809\) | 40.6883i | 1.43052i | 0.698857 | + | 0.715262i | \(0.253692\pi\) | ||||
−0.698857 | + | 0.715262i | \(0.746308\pi\) | |||||||
\(810\) | 12.9567 | + | 16.7093i | 0.455253 | + | 0.587106i | ||||
\(811\) | − | 0.378710i | − | 0.0132983i | −0.999978 | − | 0.00664916i | \(-0.997883\pi\) | ||
0.999978 | − | 0.00664916i | \(-0.00211651\pi\) | |||||||
\(812\) | 1.14165 | + | 10.9353i | 0.0400641 | + | 0.383753i | ||||
\(813\) | −3.23068 | + | 4.52051i | −0.113305 | + | 0.158541i | ||||
\(814\) | −26.1062 | + | 45.2173i | −0.915023 | + | 1.58487i | ||||
\(815\) | −14.0999 | + | 24.4217i | −0.493896 | + | 0.855453i | ||||
\(816\) | −0.296428 | + | 3.04933i | −0.0103771 | + | 0.106748i | ||||
\(817\) | 3.47416 | − | 2.00581i | 0.121545 | − | 0.0701743i | ||||
\(818\) | 6.96694 | 0.243593 | ||||||||
\(819\) | −1.22405 | + | 13.5959i | −0.0427719 | + | 0.475079i | ||||
\(820\) | −18.7812 | −0.655868 | ||||||||
\(821\) | 11.4968 | − | 6.63771i | 0.401243 | − | 0.231658i | −0.285777 | − | 0.958296i | \(-0.592252\pi\) |
0.687020 | + | 0.726638i | \(0.258918\pi\) | |||||||
\(822\) | 12.5949 | − | 5.72596i | 0.439299 | − | 0.199716i | ||||
\(823\) | −13.8711 | + | 24.0255i | −0.483517 | + | 0.837476i | −0.999821 | − | 0.0189295i | \(-0.993974\pi\) |
0.516304 | + | 0.856405i | \(0.327308\pi\) | |||||||
\(824\) | −2.92989 | + | 5.07471i | −0.102067 | + | 0.176786i | ||||
\(825\) | −2.11388 | − | 4.64974i | −0.0735959 | − | 0.161883i | ||||
\(826\) | 0.612544 | + | 5.86724i | 0.0213131 | + | 0.204147i | ||||
\(827\) | 27.7183i | 0.963859i | 0.876210 | + | 0.481929i | \(0.160064\pi\) | ||||
−0.876210 | + | 0.481929i | \(0.839936\pi\) | |||||||
\(828\) | −8.30766 | − | 7.24842i | −0.288711 | − | 0.251900i | ||||
\(829\) | − | 42.7361i | − | 1.48429i | −0.670242 | − | 0.742143i | \(-0.733810\pi\) | ||
0.670242 | − | 0.742143i | \(-0.266190\pi\) | |||||||
\(830\) | 25.5261 | − | 14.7375i | 0.886023 | − | 0.511545i | ||||
\(831\) | −1.68943 | + | 17.3790i | −0.0586057 | + | 0.602872i | ||||
\(832\) | 1.48943 | + | 0.859925i | 0.0516368 | + | 0.0298125i | ||||
\(833\) | 12.1148 | − | 2.55746i | 0.419753 | − | 0.0886109i | ||||
\(834\) | −29.2552 | − | 20.9079i | −1.01303 | − | 0.723981i | ||||
\(835\) | −20.1451 | − | 34.8923i | −0.697149 | − | 1.20750i | ||||
\(836\) | 6.46754 | 0.223685 | ||||||||
\(837\) | 31.6305 | − | 29.8519i | 1.09331 | − | 1.03183i | ||||
\(838\) | 34.8463i | 1.20375i | ||||||||
\(839\) | 1.92438 | + | 3.33313i | 0.0664370 | + | 0.115072i | 0.897331 | − | 0.441359i | \(-0.145504\pi\) |
−0.830894 | + | 0.556431i | \(0.812170\pi\) | |||||||
\(840\) | −5.44928 | − | 9.28518i | −0.188018 | − | 0.320369i | ||||
\(841\) | −5.86545 | + | 10.1593i | −0.202257 | + | 0.350319i | ||||
\(842\) | −4.92936 | − | 2.84597i | −0.169877 | − | 0.0980785i | ||||
\(843\) | −8.40038 | − | 0.816609i | −0.289324 | − | 0.0281255i | ||||
\(844\) | −5.15561 | − | 8.92978i | −0.177463 | − | 0.307376i | ||||
\(845\) | 23.5925 | 0.811608 | ||||||||
\(846\) | −6.82382 | + | 34.7663i | −0.234608 | + | 1.19529i | ||||
\(847\) | −22.8760 | + | 51.2842i | −0.786028 | + | 1.76215i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −2.01989 | − | 4.44300i | −0.0693225 | − | 0.152483i | ||||
\(850\) | 0.795769 | + | 0.459437i | 0.0272946 | + | 0.0157586i | ||||
\(851\) | 29.2738 | + | 16.9013i | 1.00349 | + | 0.579368i | ||||
\(852\) | 3.24083 | + | 7.12860i | 0.111029 | + | 0.244222i | ||||
\(853\) | 26.3470 | − | 15.2114i | 0.902103 | − | 0.520830i | 0.0242213 | − | 0.999707i | \(-0.492289\pi\) |
0.877882 | + | 0.478877i | \(0.158956\pi\) | |||||||
\(854\) | −9.69992 | + | 21.7456i | −0.331924 | + | 0.744121i | ||||
\(855\) | −1.54660 | + | 7.87967i | −0.0528924 | + | 0.269479i | ||||
\(856\) | −4.71563 | −0.161177 | ||||||||
\(857\) | −19.4657 | − | 33.7156i | −0.664937 | − | 1.15170i | −0.979303 | − | 0.202402i | \(-0.935125\pi\) |
0.314366 | − | 0.949302i | \(-0.398208\pi\) | |||||||
\(858\) | 16.8307 | + | 1.63613i | 0.574591 | + | 0.0558565i | ||||
\(859\) | −11.5922 | − | 6.69275i | −0.395520 | − | 0.228354i | 0.289029 | − | 0.957320i | \(-0.406668\pi\) |
−0.684549 | + | 0.728967i | \(0.740001\pi\) | |||||||
\(860\) | −4.13611 | + | 7.16396i | −0.141040 | + | 0.244289i | ||||
\(861\) | −31.5948 | + | 18.5423i | −1.07675 | + | 0.631921i | ||||
\(862\) | 15.1468 | + | 26.2350i | 0.515901 | + | 0.893567i | ||||
\(863\) | − | 21.7219i | − | 0.739424i | −0.929146 | − | 0.369712i | \(-0.879456\pi\) | ||
0.929146 | − | 0.369712i | \(-0.120544\pi\) | |||||||
\(864\) | 3.77894 | − | 3.56645i | 0.128562 | − | 0.121333i | ||||
\(865\) | 4.66929 | 0.158761 | ||||||||
\(866\) | −11.8047 | − | 20.4463i | −0.401139 | − | 0.694794i | ||||
\(867\) | 19.5469 | + | 13.9697i | 0.663849 | + | 0.474434i | ||||
\(868\) | −17.9251 | + | 13.0043i | −0.608417 | + | 0.441394i | ||||
\(869\) | −64.0496 | − | 36.9791i | −2.17273 | − | 1.25443i | ||||
\(870\) | −1.63613 | + | 16.8307i | −0.0554700 | + | 0.570614i | ||||
\(871\) | 16.1920 | − | 9.34845i | 0.548645 | − | 0.316760i | ||||
\(872\) | 4.23669i | 0.143473i | ||||||||
\(873\) | 10.3766 | + | 9.05358i | 0.351195 | + | 0.306417i | ||||
\(874\) | − | 4.18711i | − | 0.141631i | ||||||
\(875\) | 27.6995 | − | 2.89185i | 0.936415 | − | 0.0977625i | ||||
\(876\) | −3.82955 | − | 8.42356i | −0.129388 | − | 0.284606i | ||||
\(877\) | −0.196152 | + | 0.339746i | −0.00662360 | + | 0.0114724i | −0.869318 | − | 0.494253i | \(-0.835442\pi\) |
0.862695 | + | 0.505725i | \(0.168775\pi\) | |||||||
\(878\) | 12.5101 | − | 21.6681i | 0.422196 | − | 0.731265i | ||||
\(879\) | −12.7936 | + | 5.81628i | −0.431518 | + | 0.196178i | ||||
\(880\) | −11.5498 | + | 6.66826i | −0.389343 | + | 0.224787i | ||||
\(881\) | −43.3363 | −1.46004 | −0.730018 | − | 0.683427i | \(-0.760489\pi\) | ||||
−0.730018 | + | 0.683427i | \(0.760489\pi\) | |||||||
\(882\) | −18.3342 | − | 10.2401i | −0.617343 | − | 0.344801i | ||||
\(883\) | 2.17403 | 0.0731618 | 0.0365809 | − | 0.999331i | \(-0.488353\pi\) | ||||
0.0365809 | + | 0.999331i | \(0.488353\pi\) | |||||||
\(884\) | −2.63455 | + | 1.52106i | −0.0886096 | + | 0.0511588i | ||||
\(885\) | −0.877852 | + | 9.03038i | −0.0295087 | + | 0.303553i | ||||
\(886\) | 11.5150 | − | 19.9446i | 0.386854 | − | 0.670051i | ||||
\(887\) | 5.72215 | − | 9.91105i | 0.192131 | − | 0.332781i | −0.753825 | − | 0.657075i | \(-0.771793\pi\) |
0.945956 | + | 0.324294i | \(0.105127\pi\) | |||||||
\(888\) | −9.26298 | + | 12.9612i | −0.310845 | + | 0.434948i | ||||
\(889\) | 17.5693 | − | 1.83425i | 0.589256 | − | 0.0615188i | ||||
\(890\) | − | 2.72774i | − | 0.0914341i | ||||||
\(891\) | 19.3116 | − | 47.2996i | 0.646963 | − | 1.58460i | ||||
\(892\) | − | 7.20913i | − | 0.241379i | ||||||
\(893\) | −11.6526 | + | 6.72762i | −0.389939 | + | 0.225131i | ||||
\(894\) | −1.68780 | − | 1.20623i | −0.0564486 | − | 0.0403423i | ||||
\(895\) | −16.9100 | − | 9.76302i | −0.565240 | − | 0.326342i | ||||
\(896\) | −2.14154 | + | 1.55364i | −0.0715438 | + | 0.0519036i | ||||
\(897\) | 1.05923 | − | 10.8962i | 0.0353668 | − | 0.363815i | ||||
\(898\) | −7.95142 | − | 13.7723i | −0.265342 | − | 0.459586i | ||||
\(899\) | 34.7832 | 1.16009 | ||||||||
\(900\) | −0.504688 | − | 1.47446i | −0.0168229 | − | 0.0491488i | ||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 22.6902 | + | 39.3006i | 0.755501 | + | 1.30857i | ||||
\(903\) | 0.114843 | + | 16.1351i | 0.00382173 | + | 0.536943i | ||||
\(904\) | −3.41614 | + | 5.91693i | −0.113619 | + | 0.196794i | ||||
\(905\) | 31.4430 | + | 18.1536i | 1.04520 | + | 0.603447i | ||||
\(906\) | −10.9134 | − | 24.0054i | −0.362575 | − | 0.797527i | ||||
\(907\) | 26.9446 | + | 46.6694i | 0.894680 | + | 1.54963i | 0.834200 | + | 0.551462i | \(0.185930\pi\) |
0.0604797 | + | 0.998169i | \(0.480737\pi\) | |||||||
\(908\) | −12.7560 | −0.423323 | ||||||||
\(909\) | 13.0628 | − | 14.9717i | 0.433266 | − | 0.496580i | ||||
\(910\) | 4.35492 | − | 9.76302i | 0.144364 | − | 0.323641i | ||||
\(911\) | −7.00460 | + | 4.04411i | −0.232073 | + | 0.133987i | −0.611528 | − | 0.791223i | \(-0.709445\pi\) |
0.379455 | + | 0.925210i | \(0.376111\pi\) | |||||||
\(912\) | 1.96410 | + | 0.190932i | 0.0650379 | + | 0.00632240i | ||||
\(913\) | −61.6777 | − | 35.6097i | −2.04124 | − | 1.17851i | ||||
\(914\) | −4.90702 | − | 2.83307i | −0.162310 | − | 0.0937096i | ||||
\(915\) | −21.2935 | + | 29.7948i | −0.703942 | + | 0.984986i | ||||
\(916\) | −3.89208 | + | 2.24709i | −0.128598 | + | 0.0742460i | ||||
\(917\) | 8.05450 | − | 18.0569i | 0.265983 | − | 0.596290i | ||||
\(918\) | 2.12112 | + | 8.94300i | 0.0700075 | + | 0.295163i | ||||
\(919\) | 25.6751 | 0.846943 | 0.423472 | − | 0.905909i | \(-0.360811\pi\) | ||||
0.423472 | + | 0.905909i | \(0.360811\pi\) | |||||||
\(920\) | 4.31705 | + | 7.47736i | 0.142329 | + | 0.246521i | ||||
\(921\) | 10.9770 | − | 15.3594i | 0.361703 | − | 0.506110i | ||||
\(922\) | −27.2438 | − | 15.7292i | −0.897226 | − | 0.518014i | ||||
\(923\) | −3.88777 | + | 6.73382i | −0.127968 | + | 0.221646i | ||||
\(924\) | −12.8462 | + | 22.6206i | −0.422609 | + | 0.744163i | ||||
\(925\) | 2.38903 | + | 4.13792i | 0.0785507 | + | 0.136054i | ||||
\(926\) | 9.10296i | 0.299142i | ||||||||
\(927\) | −3.38581 | + | 17.2502i | −0.111205 | + | 0.566570i | ||||
\(928\) | 4.15561 | 0.136415 | ||||||||
\(929\) | −5.42618 | − | 9.39842i | −0.178027 | − | 0.308352i | 0.763177 | − | 0.646189i | \(-0.223638\pi\) |
−0.941205 | + | 0.337837i | \(0.890305\pi\) | |||||||
\(930\) | −31.0062 | + | 14.0961i | −1.01673 | + | 0.462231i | ||||
\(931\) | −1.64729 | − | 7.80326i | −0.0539877 | − | 0.255742i | ||||
\(932\) | 1.86545 | + | 1.07702i | 0.0611048 | + | 0.0352789i | ||||
\(933\) | 12.9867 | − | 5.90408i | 0.425167 | − | 0.193291i | ||||
\(934\) | −26.2433 | + | 15.1516i | −0.858708 | + | 0.495775i | ||||
\(935\) | − | 23.5900i | − | 0.771477i | ||||||
\(936\) | 5.06295 | + | 0.993738i | 0.165488 | + | 0.0324814i | ||||
\(937\) | − | 0.458120i | − | 0.0149661i | −0.999972 | − | 0.00748306i | \(-0.997618\pi\) | ||
0.999972 | − | 0.00748306i | \(-0.00238195\pi\) | |||||||
\(938\) | 2.98661 | + | 28.6071i | 0.0975162 | + | 0.934056i | ||||
\(939\) | −58.2725 | − | 5.66473i | −1.90165 | − | 0.184861i | ||||
\(940\) | 13.8728 | − | 24.0284i | 0.452482 | − | 0.783721i | ||||
\(941\) | 3.68890 | − | 6.38937i | 0.120255 | − | 0.208287i | −0.799613 | − | 0.600515i | \(-0.794962\pi\) |
0.919868 | + | 0.392228i | \(0.128296\pi\) | |||||||
\(942\) | −14.1297 | − | 10.0981i | −0.460369 | − | 0.329013i | ||||
\(943\) | 25.4433 | − | 14.6897i | 0.828548 | − | 0.478362i | ||||
\(944\) | 2.22966 | 0.0725693 | ||||||||
\(945\) | −24.4876 | − | 21.0603i | −0.796583 | − | 0.685093i | ||||
\(946\) | 19.9879 | 0.649862 | ||||||||
\(947\) | −10.3846 | + | 5.99552i | −0.337453 | + | 0.194828i | −0.659145 | − | 0.752016i | \(-0.729082\pi\) |
0.321692 | + | 0.946844i | \(0.395748\pi\) | |||||||
\(948\) | −18.3593 | − | 13.1209i | −0.596282 | − | 0.426146i | ||||
\(949\) | 4.59401 | − | 7.95706i | 0.149128 | − | 0.258297i | ||||
\(950\) | 0.295928 | − | 0.512563i | 0.00960118 | − | 0.0166297i | ||||
\(951\) | −11.6036 | − | 1.12799i | −0.376271 | − | 0.0365777i | ||||
\(952\) | −0.485942 | − | 4.65458i | −0.0157495 | − | 0.150856i | ||||
\(953\) | 58.6883i | 1.90110i | 0.310572 | + | 0.950550i | \(0.399479\pi\) | ||||
−0.310572 | + | 0.950550i | \(0.600521\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 28.9866i | 0.937983i | ||||||||
\(956\) | −8.78317 | + | 5.07096i | −0.284068 | + | 0.164007i | ||||
\(957\) | 37.1957 | − | 16.9100i | 1.20237 | − | 0.546624i | ||||
\(958\) | −4.03816 | − | 2.33143i | −0.130467 | − | 0.0753251i | ||||
\(959\) | −17.1064 | + | 12.4103i | −0.552394 | + | 0.400751i | ||||
\(960\) | −3.70436 | + | 1.68409i | −0.119558 | + | 0.0543538i | ||||
\(961\) | 19.5300 | + | 33.8270i | 0.630000 | + | 1.09119i | ||||
\(962\) | −15.8187 | −0.510016 | ||||||||
\(963\) | −13.3846 | + | 4.58134i | −0.431311 | + | 0.147632i | ||||
\(964\) | 10.5481i | 0.339731i | ||||||||
\(965\) | −5.16140 | − | 8.93981i | −0.166151 | − | 0.287783i | ||||
\(966\) | 14.6446 | + | 8.31668i | 0.471184 | + | 0.267585i | ||||
\(967\) | −3.37560 | + | 5.84671i | −0.108552 | + | 0.188018i | −0.915184 | − | 0.403037i | \(-0.867955\pi\) |
0.806632 | + | 0.591054i | \(0.201288\pi\) | |||||||
\(968\) | 18.3810 | + | 10.6123i | 0.590789 | + | 0.341092i | ||||
\(969\) | −2.02956 | + | 2.83985i | −0.0651988 | + | 0.0912290i | ||||
\(970\) | −5.39218 | − | 9.33953i | −0.173133 | − | 0.299874i | ||||
\(971\) | 6.40724 | 0.205618 | 0.102809 | − | 0.994701i | \(-0.467217\pi\) | ||||
0.102809 | + | 0.994701i | \(0.467217\pi\) | |||||||
\(972\) | 7.26102 | − | 13.7941i | 0.232897 | − | 0.442446i | ||||
\(973\) | 50.1631 | + | 22.3759i | 1.60816 | + | 0.717338i | ||||
\(974\) | 16.8720 | − | 9.74105i | 0.540613 | − | 0.312123i | ||||
\(975\) | 0.899769 | − | 1.25900i | 0.0288157 | − | 0.0403201i | ||||
\(976\) | 7.79396 | + | 4.49985i | 0.249479 | + | 0.144037i | ||||
\(977\) | 11.7769 | + | 6.79937i | 0.376775 | + | 0.217531i | 0.676414 | − | 0.736521i | \(-0.263533\pi\) |
−0.299639 | + | 0.954053i | \(0.596866\pi\) | |||||||
\(978\) | 20.6925 | + | 2.01154i | 0.661674 | + | 0.0643220i | ||||
\(979\) | −5.70793 | + | 3.29547i | −0.182426 | + | 0.105324i | ||||
\(980\) | 10.9872 | + | 12.2367i | 0.350972 | + | 0.390887i | ||||
\(981\) | 4.11604 | + | 12.0252i | 0.131415 | + | 0.383934i | ||||
\(982\) | 20.4886 | 0.653819 | ||||||||
\(983\) | −11.3849 | − | 19.7192i | −0.363122 | − | 0.628946i | 0.625351 | − | 0.780344i | \(-0.284956\pi\) |
−0.988473 | + | 0.151398i | \(0.951623\pi\) | |||||||
\(984\) | 5.73047 | + | 12.6049i | 0.182681 | + | 0.401829i | ||||
\(985\) | −22.1497 | − | 12.7882i | −0.705749 | − | 0.407464i | ||||
\(986\) | −3.67528 | + | 6.36577i | −0.117045 | + | 0.202728i | ||||
\(987\) | −0.385191 | − | 54.1183i | −0.0122608 | − | 1.72261i | ||||
\(988\) | 0.979729 | + | 1.69694i | 0.0311693 | + | 0.0539869i | ||||
\(989\) | − | 12.9402i | − | 0.411475i | ||||||
\(990\) | −26.3038 | + | 30.1476i | −0.835989 | + | 0.958154i | ||||
\(991\) | −26.9905 | −0.857383 | −0.428691 | − | 0.903451i | \(-0.641025\pi\) | ||||
−0.428691 | + | 0.903451i | \(0.641025\pi\) | |||||||
\(992\) | 4.18509 | + | 7.24879i | 0.132877 | + | 0.230149i | ||||
\(993\) | 5.37223 | − | 55.2636i | 0.170483 | − | 1.75374i | ||||
\(994\) | −7.02412 | − | 9.68203i | −0.222791 | − | 0.307095i | ||||
\(995\) | −56.0869 | − | 32.3818i | −1.77807 | − | 1.02657i | ||||
\(996\) | −17.6794 | − | 12.6350i | −0.560193 | − | 0.400354i | ||||
\(997\) | 16.7263 | − | 9.65694i | 0.529728 | − | 0.305838i | −0.211178 | − | 0.977448i | \(-0.567730\pi\) |
0.740906 | + | 0.671609i | \(0.234397\pi\) | |||||||
\(998\) | 10.2520i | 0.324520i | ||||||||
\(999\) | −13.6994 | + | 45.7873i | −0.433430 | + | 1.44865i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))