Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(125,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, 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("378.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.m (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: | \(3.01834519640\) |
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: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 251.6 | ||
Root | \(1.40917 - 1.00709i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.251 |
Dual form | 378.2.m.a.125.6 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.17468 | − | 2.03460i | −0.525332 | − | 0.909902i | −0.999565 | − | 0.0295026i | \(-0.990608\pi\) |
0.474232 | − | 0.880400i | \(-0.342726\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.55364 | + | 2.14154i | 0.587222 | + | 0.809426i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 2.34936i | − | 0.742932i | ||||||
\(11\) | 4.91614 | + | 2.83834i | 1.48227 | + | 0.855790i | 0.999798 | − | 0.0201197i | \(-0.00640473\pi\) |
0.482475 | + | 0.875910i | \(0.339738\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.48943 | − | 0.859925i | 0.413094 | − | 0.238500i | −0.279024 | − | 0.960284i | \(-0.590011\pi\) |
0.692118 | + | 0.721784i | \(0.256678\pi\) | |||||||
\(14\) | 0.274725 | + | 2.63145i | 0.0734234 | + | 0.703284i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.76883 | 0.429004 | 0.214502 | − | 0.976724i | \(-0.431187\pi\) | ||||
0.214502 | + | 0.976724i | \(0.431187\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 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 | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.83834 | + | 4.91614i | 0.605135 | + | 1.04812i | ||||
\(23\) | 3.18272 | − | 1.83755i | 0.663644 | − | 0.383155i | −0.130020 | − | 0.991511i | \(-0.541504\pi\) |
0.793664 | + | 0.608356i | \(0.208171\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.259741 | + | 0.449885i | −0.0519482 | + | 0.0899769i | ||||
\(26\) | 1.71985 | 0.337290 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.07781 | + | 2.41626i | −0.203686 | + | 0.456631i | ||||
\(29\) | −3.59886 | − | 2.07781i | −0.668292 | − | 0.385839i | 0.127137 | − | 0.991885i | \(-0.459421\pi\) |
−0.795429 | + | 0.606046i | \(0.792755\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.24879 | + | 4.18509i | −1.30192 | + | 0.751665i | −0.980734 | − | 0.195350i | \(-0.937416\pi\) |
−0.321188 | + | 0.947015i | \(0.604082\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.53185 | + | 0.884414i | 0.262710 | + | 0.151676i | ||||
\(35\) | 2.53215 | − | 5.67667i | 0.428012 | − | 0.959532i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −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 | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.03460 | − | 1.17468i | 0.321699 | − | 0.185733i | ||||
\(41\) | −3.99709 | − | 6.92317i | −0.624241 | − | 1.08122i | −0.988687 | − | 0.149993i | \(-0.952075\pi\) |
0.364446 | − | 0.931225i | \(-0.381258\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.76053 | − | 3.04933i | 0.268478 | − | 0.465018i | −0.699991 | − | 0.714152i | \(-0.746813\pi\) |
0.968469 | + | 0.249134i | \(0.0801459\pi\) | |||||||
\(44\) | 5.67667i | 0.855790i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.67509 | 0.541863 | ||||||||
\(47\) | −5.90494 | + | 10.2277i | −0.861324 | + | 1.49186i | 0.00932669 | + | 0.999957i | \(0.497031\pi\) |
−0.870651 | + | 0.491901i | \(0.836302\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.17238 | + | 6.65438i | −0.310340 | + | 0.950626i | ||||
\(50\) | −0.449885 | + | 0.259741i | −0.0636233 | + | 0.0367329i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.48943 | + | 0.859925i | 0.206547 | + | 0.119250i | ||||
\(53\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 13.3365i | − | 1.79830i | ||||||
\(56\) | −2.14154 | + | 1.55364i | −0.286175 | + | 0.207614i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.07781 | − | 3.59886i | −0.272829 | − | 0.472554i | ||||
\(59\) | −1.11483 | − | 1.93094i | −0.145139 | − | 0.251387i | 0.784286 | − | 0.620399i | \(-0.213029\pi\) |
−0.929425 | + | 0.369012i | \(0.879696\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.79396 | + | 4.49985i | 0.997915 | + | 0.576146i | 0.907631 | − | 0.419770i | \(-0.137889\pi\) |
0.0902842 | + | 0.995916i | \(0.471222\pi\) | |||||||
\(62\) | −8.37019 | −1.06301 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −3.49921 | − | 2.02027i | −0.434024 | − | 0.250584i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.43562 | − | 9.41477i | −0.664067 | − | 1.15020i | −0.979537 | − | 0.201262i | \(-0.935496\pi\) |
0.315470 | − | 0.948935i | \(-0.397838\pi\) | |||||||
\(68\) | 0.884414 | + | 1.53185i | 0.107251 | + | 0.185764i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.03124 | − | 3.65007i | 0.601348 | − | 0.436266i | ||||
\(71\) | − | 4.52106i | − | 0.536551i | −0.963342 | − | 0.268276i | \(-0.913546\pi\) | ||
0.963342 | − | 0.268276i | \(-0.0864538\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 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 | 0 | ||||||||
\(76\) | 0.986680 | − | 0.569660i | 0.113180 | − | 0.0653445i | ||||
\(77\) | 1.55953 | + | 14.9379i | 0.177724 | + | 1.70233i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.51422 | − | 11.2830i | 0.732907 | − | 1.26943i | −0.222729 | − | 0.974880i | \(-0.571497\pi\) |
0.955636 | − | 0.294551i | \(-0.0951701\pi\) | |||||||
\(80\) | 2.34936 | 0.262666 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 7.99419i | − | 0.882810i | ||||||
\(83\) | 6.27298 | − | 10.8651i | 0.688549 | − | 1.19260i | −0.283758 | − | 0.958896i | \(-0.591581\pi\) |
0.972307 | − | 0.233707i | \(-0.0750855\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.07781 | − | 3.59886i | −0.225370 | − | 0.390352i | ||||
\(86\) | 3.04933 | − | 1.76053i | 0.328817 | − | 0.189843i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.83834 | + | 4.91614i | −0.302568 | + | 0.524062i | ||||
\(89\) | 1.16106 | 0.123072 | 0.0615360 | − | 0.998105i | \(-0.480400\pi\) | ||||
0.0615360 | + | 0.998105i | \(0.480400\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.15561 | + | 1.85366i | 0.435626 | + | 0.194317i | ||||
\(92\) | 3.18272 | + | 1.83755i | 0.331822 | + | 0.191577i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −10.2277 | + | 5.90494i | −1.05490 | + | 0.609048i | ||||
\(95\) | −2.31806 | + | 1.33834i | −0.237828 | + | 0.137310i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.97536 | − | 2.29517i | −0.403636 | − | 0.233039i | 0.284416 | − | 0.958701i | \(-0.408200\pi\) |
−0.688052 | + | 0.725662i | \(0.741534\pi\) | |||||||
\(98\) | −5.20853 | + | 4.67667i | −0.526141 | + | 0.472415i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.519482 | −0.0519482 | ||||||||
\(101\) | −3.31155 | + | 5.73577i | −0.329511 | + | 0.570730i | −0.982415 | − | 0.186711i | \(-0.940217\pi\) |
0.652904 | + | 0.757441i | \(0.273551\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.07471 | + | 2.92989i | −0.500026 | + | 0.288690i | −0.728724 | − | 0.684807i | \(-0.759886\pi\) |
0.228698 | + | 0.973497i | \(0.426553\pi\) | |||||||
\(104\) | 0.859925 | + | 1.48943i | 0.0843225 | + | 0.146051i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.71563i | 0.455878i | 0.973675 | + | 0.227939i | \(0.0731986\pi\) | ||||
−0.973675 | + | 0.227939i | \(0.926801\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 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 | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.63145 | + | 0.274725i | −0.248649 | + | 0.0259591i | ||||
\(113\) | −5.91693 | + | 3.41614i | −0.556618 | + | 0.321363i | −0.751787 | − | 0.659406i | \(-0.770808\pi\) |
0.195169 | + | 0.980770i | \(0.437474\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.47736 | − | 4.31705i | −0.697267 | − | 0.402567i | ||||
\(116\) | − | 4.15561i | − | 0.385839i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 2.22966i | − | 0.205257i | ||||||
\(119\) | 2.74813 | + | 3.78802i | 0.251921 | + | 0.347247i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.6123 | + | 18.3810i | 0.964754 | + | 1.67100i | ||||
\(122\) | 4.49985 | + | 7.79396i | 0.407397 | + | 0.705632i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.24879 | − | 4.18509i | −0.650961 | − | 0.375832i | ||||
\(125\) | −10.5263 | −0.941504 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −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 | 0 | ||||||||
\(130\) | −2.02027 | − | 3.49921i | −0.177189 | − | 0.306901i | ||||
\(131\) | −3.73653 | − | 6.47185i | −0.326462 | − | 0.565448i | 0.655345 | − | 0.755329i | \(-0.272523\pi\) |
−0.981807 | + | 0.189881i | \(0.939190\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.43990 | − | 1.77010i | 0.211566 | − | 0.153487i | ||||
\(134\) | − | 10.8712i | − | 0.939133i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.76883i | 0.151676i | ||||||||
\(137\) | −6.91772 | − | 3.99395i | −0.591021 | − | 0.341226i | 0.174480 | − | 0.984661i | \(-0.444175\pi\) |
−0.765501 | + | 0.643435i | \(0.777509\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 17.9792 | − | 10.3803i | 1.52498 | − | 0.880446i | 0.525415 | − | 0.850846i | \(-0.323910\pi\) |
0.999562 | − | 0.0295993i | \(-0.00942312\pi\) | |||||||
\(140\) | 6.18222 | − | 0.645428i | 0.522493 | − | 0.0545486i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.26053 | − | 3.91535i | 0.189699 | − | 0.328569i | ||||
\(143\) | 9.76302 | 0.816425 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.76302i | 0.810774i | ||||||||
\(146\) | −2.67117 | + | 4.62660i | −0.221068 | + | 0.382900i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.59886 | − | 7.96547i | −0.378024 | − | 0.654757i | ||||
\(149\) | 1.03726 | − | 0.598865i | 0.0849760 | − | 0.0490609i | −0.456910 | − | 0.889513i | \(-0.651044\pi\) |
0.541886 | + | 0.840452i | \(0.317710\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.61229 | + | 13.1849i | −0.619480 | + | 1.07297i | 0.370101 | + | 0.928991i | \(0.379323\pi\) |
−0.989581 | + | 0.143979i | \(0.954010\pi\) | |||||||
\(152\) | 1.13932 | 0.0924111 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.11835 | + | 13.7163i | −0.493030 | + | 1.10529i | ||||
\(155\) | 17.0300 | + | 9.83228i | 1.36788 | + | 0.789748i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.68358 | − | 5.01347i | 0.693025 | − | 0.400118i | −0.111719 | − | 0.993740i | \(-0.535636\pi\) |
0.804744 | + | 0.593621i | \(0.202302\pi\) | |||||||
\(158\) | 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 | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 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 | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 10.8651 | − | 6.27298i | 0.843297 | − | 0.486878i | ||||
\(167\) | −8.57472 | − | 14.8518i | −0.663532 | − | 1.14927i | −0.979681 | − | 0.200561i | \(-0.935723\pi\) |
0.316150 | − | 0.948709i | \(-0.397610\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.02106 | + | 8.69673i | −0.386235 | + | 0.668979i | ||||
\(170\) | − | 4.15561i | − | 0.318721i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.52106 | 0.268478 | ||||||||
\(173\) | −0.993738 | + | 1.72121i | −0.0755525 | + | 0.130861i | −0.901326 | − | 0.433140i | \(-0.857405\pi\) |
0.825774 | + | 0.564001i | \(0.190739\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.36699 | + | 0.142715i | −0.103335 | + | 0.0107882i | ||||
\(176\) | −4.91614 | + | 2.83834i | −0.370568 | + | 0.213948i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.00551 | + | 0.580529i | 0.0753659 | + | 0.0435125i | ||||
\(179\) | 8.31122i | 0.621210i | 0.950539 | + | 0.310605i | \(0.100532\pi\) | ||||
−0.950539 | + | 0.310605i | \(0.899468\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 15.4541i | − | 1.14870i | −0.818611 | − | 0.574348i | \(-0.805256\pi\) | ||
0.818611 | − | 0.574348i | \(-0.194744\pi\) | |||||||
\(182\) | 2.67203 | + | 3.68312i | 0.198064 | + | 0.273011i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.83755 | + | 3.18272i | 0.135466 | + | 0.234634i | ||||
\(185\) | 10.8044 | + | 18.7137i | 0.794354 | + | 1.37586i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.69581 | + | 5.02053i | 0.635901 | + | 0.367137i | ||||
\(188\) | −11.8099 | −0.861324 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.67667 | −0.194186 | ||||||||
\(191\) | −10.6851 | − | 6.16904i | −0.773146 | − | 0.446376i | 0.0608498 | − | 0.998147i | \(-0.480619\pi\) |
−0.833996 | + | 0.551771i | \(0.813952\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.19694 | − | 3.80521i | −0.158139 | − | 0.273905i | 0.776058 | − | 0.630661i | \(-0.217216\pi\) |
−0.934198 | + | 0.356756i | \(0.883883\pi\) | |||||||
\(194\) | −2.29517 | − | 3.97536i | −0.164784 | − | 0.285414i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.84905 | + | 1.44585i | −0.489218 | + | 0.103275i | ||||
\(197\) | 10.8865i | 0.775632i | 0.921737 | + | 0.387816i | \(0.126770\pi\) | ||||
−0.921737 | + | 0.387816i | \(0.873230\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 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 | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −5.73577 | + | 3.31155i | −0.403567 | + | 0.233000i | ||||
\(203\) | −1.14165 | − | 10.9353i | −0.0801282 | − | 0.767506i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.39060 | + | 16.2650i | −0.655868 | + | 1.13600i | ||||
\(206\) | −5.85977 | −0.408270 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.71985i | 0.119250i | ||||||||
\(209\) | 3.23377 | − | 5.60106i | 0.223685 | − | 0.387433i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.15561 | + | 8.92978i | 0.354927 | + | 0.614751i | 0.987105 | − | 0.160071i | \(-0.0511724\pi\) |
−0.632179 | + | 0.774823i | \(0.717839\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.35782 | + | 4.08386i | −0.161177 | + | 0.279167i | ||||
\(215\) | −8.27223 | −0.564161 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −20.2246 | − | 9.02143i | −1.37293 | − | 0.612415i | ||||
\(218\) | 3.66908 | + | 2.11835i | 0.248502 | + | 0.143473i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 11.5498 | − | 6.66826i | 0.778686 | − | 0.449574i | ||||
\(221\) | 2.63455 | − | 1.52106i | 0.177219 | − | 0.102318i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.24329 | − | 3.60456i | −0.418081 | − | 0.241379i | 0.276175 | − | 0.961107i | \(-0.410933\pi\) |
−0.694256 | + | 0.719728i | \(0.744267\pi\) | |||||||
\(224\) | −2.41626 | − | 1.07781i | −0.161443 | − | 0.0720139i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.83228 | −0.454477 | ||||||||
\(227\) | −6.37800 | + | 11.0470i | −0.423323 | + | 0.733217i | −0.996262 | − | 0.0863812i | \(-0.972470\pi\) |
0.572939 | + | 0.819598i | \(0.305803\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.89208 | − | 2.24709i | 0.257196 | − | 0.148492i | −0.365859 | − | 0.930670i | \(-0.619225\pi\) |
0.623055 | + | 0.782178i | \(0.285891\pi\) | |||||||
\(230\) | −4.31705 | − | 7.47736i | −0.284658 | − | 0.493042i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.07781 | − | 3.59886i | 0.136415 | − | 0.236277i | ||||
\(233\) | 2.15403i | 0.141115i | 0.997508 | + | 0.0705577i | \(0.0224779\pi\) | ||||
−0.997508 | + | 0.0705577i | \(0.977522\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 27.7456 | 1.80993 | ||||||||
\(236\) | 1.11483 | − | 1.93094i | 0.0725693 | − | 0.125694i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.485942 | + | 4.65458i | 0.0314989 | + | 0.301712i | ||||
\(239\) | 8.78317 | − | 5.07096i | 0.568136 | − | 0.328013i | −0.188269 | − | 0.982118i | \(-0.560288\pi\) |
0.756404 | + | 0.654104i | \(0.226954\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.13490 | + | 5.27404i | 0.588431 | + | 0.339731i | 0.764477 | − | 0.644651i | \(-0.222997\pi\) |
−0.176046 | + | 0.984382i | \(0.556331\pi\) | |||||||
\(242\) | 21.2246i | 1.36437i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.99970i | 0.576146i | ||||||||
\(245\) | 16.0909 | − | 3.39682i | 1.02801 | − | 0.217015i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.979729 | − | 1.69694i | −0.0623387 | − | 0.107974i | ||||
\(248\) | −4.18509 | − | 7.24879i | −0.265754 | − | 0.460299i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.11608 | − | 5.26317i | −0.576551 | − | 0.332872i | ||||
\(251\) | 29.3005 | 1.84943 | 0.924714 | − | 0.380662i | \(-0.124304\pi\) | ||||
0.924714 | + | 0.380662i | \(0.124304\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 20.8623 | 1.31160 | ||||||||
\(254\) | −5.78217 | − | 3.33834i | −0.362805 | − | 0.209466i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 3.81430 | + | 6.60656i | 0.237930 | + | 0.412106i | 0.960120 | − | 0.279588i | \(-0.0901979\pi\) |
−0.722190 | + | 0.691694i | \(0.756865\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −14.2900 | − | 19.6973i | −0.887937 | − | 1.22393i | ||||
\(260\) | − | 4.04054i | − | 0.250584i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 7.47305i | − | 0.461687i | ||||||
\(263\) | 10.5531 | + | 6.09281i | 0.650729 | + | 0.375699i | 0.788736 | − | 0.614733i | \(-0.210736\pi\) |
−0.138006 | + | 0.990431i | \(0.544069\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 2.99806 | − | 0.313000i | 0.183823 | − | 0.0191913i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.43562 | − | 9.41477i | 0.332034 | − | 0.575099i | ||||
\(269\) | −2.77433 | −0.169154 | −0.0845771 | − | 0.996417i | \(-0.526954\pi\) | ||||
−0.0845771 | + | 0.996417i | \(0.526954\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 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 | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.99395 | − | 6.91772i | −0.241283 | − | 0.417915i | ||||
\(275\) | −2.55385 | + | 1.47446i | −0.154003 | + | 0.0889135i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.04054 | + | 8.73047i | −0.302857 | + | 0.524563i | −0.976782 | − | 0.214236i | \(-0.931274\pi\) |
0.673925 | + | 0.738800i | \(0.264607\pi\) | |||||||
\(278\) | 20.7606 | 1.24514 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 5.67667 | + | 2.53215i | 0.339246 | + | 0.151325i | ||||
\(281\) | −4.21999 | − | 2.43641i | −0.251743 | − | 0.145344i | 0.368819 | − | 0.929501i | \(-0.379762\pi\) |
−0.620562 | + | 0.784157i | \(0.713096\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.44030 | + | 1.40891i | −0.145061 | + | 0.0837508i | −0.570774 | − | 0.821107i | \(-0.693357\pi\) |
0.425713 | + | 0.904858i | \(0.360023\pi\) | |||||||
\(284\) | 3.91535 | − | 2.26053i | 0.232333 | − | 0.134138i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.45502 | + | 4.88151i | 0.499956 | + | 0.288650i | ||||
\(287\) | 8.61618 | − | 19.3161i | 0.508597 | − | 1.14019i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −13.8712 | −0.815956 | ||||||||
\(290\) | −4.88151 | + | 8.45502i | −0.286652 | + | 0.496496i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.62660 | + | 2.67117i | −0.270751 | + | 0.156318i | ||||
\(293\) | 4.05694 | + | 7.02683i | 0.237009 | + | 0.410512i | 0.959855 | − | 0.280498i | \(-0.0904995\pi\) |
−0.722846 | + | 0.691010i | \(0.757166\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.61914 | + | 4.53648i | −0.152492 | + | 0.264124i | ||||
\(296\) | − | 9.19773i | − | 0.534607i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.19773 | 0.0693826 | ||||||||
\(299\) | 3.16030 | − | 5.47381i | 0.182765 | − | 0.316558i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 9.26549 | − | 0.967324i | 0.534054 | − | 0.0557556i | ||||
\(302\) | −13.1849 | + | 7.61229i | −0.758705 | + | 0.438038i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.986680 | + | 0.569660i | 0.0565900 | + | 0.0326722i | ||||
\(305\) | − | 21.1435i | − | 1.21067i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 10.8996i | 0.622074i | 0.950398 | + | 0.311037i | \(0.100676\pi\) | ||||
−0.950398 | + | 0.311037i | \(0.899324\pi\) | |||||||
\(308\) | −12.1568 | + | 8.81952i | −0.692699 | + | 0.502539i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 9.83228 | + | 17.0300i | 0.558436 | + | 0.967240i | ||||
\(311\) | −4.11819 | − | 7.13291i | −0.233521 | − | 0.404470i | 0.725321 | − | 0.688411i | \(-0.241691\pi\) |
−0.958842 | + | 0.283941i | \(0.908358\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −29.2736 | − | 16.9011i | −1.65464 | − | 0.955308i | −0.975127 | − | 0.221648i | \(-0.928857\pi\) |
−0.679516 | − | 0.733661i | \(-0.737810\pi\) | |||||||
\(314\) | 10.0269 | 0.565853 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.0284 | 0.732907 | ||||||||
\(317\) | −5.82913 | − | 3.36545i | −0.327396 | − | 0.189022i | 0.327288 | − | 0.944925i | \(-0.393865\pi\) |
−0.654685 | + | 0.755902i | \(0.727199\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.7950 | − | 20.4296i | −0.660394 | − | 1.14384i | ||||
\(320\) | 1.17468 | + | 2.03460i | 0.0656665 | + | 0.113738i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 5.70979 | + | 7.87036i | 0.318194 | + | 0.438598i | ||||
\(323\) | − | 2.01526i | − | 0.112132i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.893431i | 0.0495586i | ||||||||
\(326\) | 10.3950 | + | 6.00158i | 0.575728 | + | 0.332397i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.92317 | − | 3.99709i | 0.382268 | − | 0.220703i | ||||
\(329\) | −31.0771 | + | 3.24447i | −1.71334 | + | 0.178874i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.0284 | − | 27.7621i | 0.881002 | − | 1.52594i | 0.0307744 | − | 0.999526i | \(-0.490203\pi\) |
0.850228 | − | 0.526415i | \(-0.176464\pi\) | |||||||
\(332\) | 12.5460 | 0.688549 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | − | 17.1494i | − | 0.938375i | ||||||
\(335\) | −12.7702 | + | 22.1187i | −0.697712 | + | 1.20847i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.1123 | − | 20.9791i | −0.659799 | − | 1.14280i | −0.980668 | − | 0.195681i | \(-0.937308\pi\) |
0.320869 | − | 0.947124i | \(-0.396025\pi\) | |||||||
\(338\) | −8.69673 | + | 5.02106i | −0.473040 | + | 0.273110i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.07781 | − | 3.59886i | 0.112685 | − | 0.195176i | ||||
\(341\) | −47.5148 | −2.57307 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.6257 | + | 5.68629i | −0.951700 | + | 0.307031i | ||||
\(344\) | 3.04933 | + | 1.76053i | 0.164409 | + | 0.0949214i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.72121 | + | 0.993738i | −0.0925326 | + | 0.0534237i | ||||
\(347\) | −19.7453 | + | 11.3999i | −1.05998 | + | 0.611981i | −0.925427 | − | 0.378926i | \(-0.876294\pi\) |
−0.134554 | + | 0.990906i | \(0.542960\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.46389 | − | 1.42253i | −0.131889 | − | 0.0761461i | 0.432604 | − | 0.901584i | \(-0.357595\pi\) |
−0.564493 | + | 0.825438i | \(0.690928\pi\) | |||||||
\(350\) | −1.25521 | − | 0.559901i | −0.0670936 | − | 0.0299279i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.67667 | −0.302568 | ||||||||
\(353\) | 3.57212 | − | 6.18709i | 0.190125 | − | 0.329306i | −0.755167 | − | 0.655533i | \(-0.772444\pi\) |
0.945291 | + | 0.326227i | \(0.105777\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.19856 | + | 5.31079i | −0.488209 | + | 0.281868i | ||||
\(356\) | 0.580529 | + | 1.00551i | 0.0307680 | + | 0.0532917i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.15561 | + | 7.19773i | −0.219631 | + | 0.380412i | ||||
\(359\) | 11.6037i | 0.612421i | 0.951964 | + | 0.306210i | \(0.0990611\pi\) | ||||
−0.951964 | + | 0.306210i | \(0.900939\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.7019 | 0.931682 | ||||||||
\(362\) | 7.72706 | − | 13.3837i | 0.406125 | − | 0.703429i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.472486 | + | 4.52570i | 0.0247650 | + | 0.237211i | ||||
\(365\) | 10.8695 | − | 6.27554i | 0.568938 | − | 0.328477i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.78525 | + | 3.91747i | 0.354187 | + | 0.204490i | 0.666528 | − | 0.745480i | \(-0.267780\pi\) |
−0.312341 | + | 0.949970i | \(0.601113\pi\) | |||||||
\(368\) | 3.67509i | 0.191577i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 21.6088i | 1.12339i | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.8339 | − | 22.2289i | −0.664512 | − | 1.15097i | −0.979417 | − | 0.201845i | \(-0.935306\pi\) |
0.314905 | − | 0.949123i | \(-0.398027\pi\) | |||||||
\(374\) | 5.02053 | + | 8.69581i | 0.259605 | + | 0.449650i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.2277 | − | 5.90494i | −0.527451 | − | 0.304524i | ||||
\(377\) | −7.14702 | −0.368091 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −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 | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −6.16904 | − | 10.6851i | −0.315636 | − | 0.546697i | ||||
\(383\) | −0.763322 | − | 1.32211i | −0.0390040 | − | 0.0675568i | 0.845864 | − | 0.533398i | \(-0.179085\pi\) |
−0.884868 | + | 0.465841i | \(0.845752\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 28.5607 | − | 20.7202i | 1.45559 | − | 1.05600i | ||||
\(386\) | − | 4.39388i | − | 0.223643i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 4.59035i | − | 0.233039i | ||||||
\(389\) | −12.8948 | − | 7.44483i | −0.653794 | − | 0.377468i | 0.136115 | − | 0.990693i | \(-0.456538\pi\) |
−0.789908 | + | 0.613225i | \(0.789872\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.62969 | − | 3.25030i | 0.284706 | − | 0.164375i | ||||
\(392\) | −6.65438 | − | 2.17238i | −0.336097 | − | 0.109722i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −5.44325 | + | 9.42799i | −0.274227 | + | 0.474975i | ||||
\(395\) | −30.6085 | −1.54008 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 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 | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.259741 | − | 0.449885i | −0.0129871 | − | 0.0224942i | ||||
\(401\) | 33.0592 | − | 19.0868i | 1.65090 | − | 0.953147i | 0.674196 | − | 0.738552i | \(-0.264490\pi\) |
0.976703 | − | 0.214595i | \(-0.0688431\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −7.19773 | + | 12.4668i | −0.358544 | + | 0.621017i | ||||
\(404\) | −6.62310 | −0.329511 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.47894 | − | 10.0411i | 0.222286 | − | 0.498329i | ||||
\(407\) | −45.2173 | − | 26.1062i | −2.24134 | − | 1.29404i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.03355 | − | 3.48347i | 0.298340 | − | 0.172247i | −0.343357 | − | 0.939205i | \(-0.611564\pi\) |
0.641697 | + | 0.766958i | \(0.278231\pi\) | |||||||
\(410\) | −16.2650 | + | 9.39060i | −0.803271 | + | 0.463769i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.07471 | − | 2.92989i | −0.250013 | − | 0.144345i | ||||
\(413\) | 2.40314 | − | 5.38745i | 0.118251 | − | 0.265099i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −29.4750 | −1.44687 | ||||||||
\(416\) | −0.859925 | + | 1.48943i | −0.0421613 | + | 0.0730255i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.60106 | − | 3.23377i | 0.273957 | − | 0.158169i | ||||
\(419\) | 17.4232 | + | 30.1778i | 0.851177 | + | 1.47428i | 0.880146 | + | 0.474702i | \(0.157444\pi\) |
−0.0289690 | + | 0.999580i | \(0.509222\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.84597 | − | 4.92936i | 0.138704 | − | 0.240242i | −0.788302 | − | 0.615288i | \(-0.789040\pi\) |
0.927006 | + | 0.375046i | \(0.122373\pi\) | |||||||
\(422\) | 10.3112i | 0.501942i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.459437 | + | 0.795769i | −0.0222860 | + | 0.0386005i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.47244 | + | 23.6822i | 0.119650 | + | 1.14606i | ||||
\(428\) | −4.08386 | + | 2.35782i | −0.197401 | + | 0.113969i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −7.16396 | − | 4.13611i | −0.345477 | − | 0.199461i | ||||
\(431\) | − | 30.2936i | − | 1.45919i | −0.683880 | − | 0.729595i | \(-0.739709\pi\) | ||
0.683880 | − | 0.729595i | \(-0.260291\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 23.6094i | 1.13459i | 0.823513 | + | 0.567297i | \(0.192011\pi\) | ||||
−0.823513 | + | 0.567297i | \(0.807989\pi\) | |||||||
\(434\) | −13.0043 | − | 17.9251i | −0.624226 | − | 0.860432i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.11835 | + | 3.66908i | 0.101450 | + | 0.175717i | ||||
\(437\) | −2.09355 | − | 3.62614i | −0.100148 | − | 0.173462i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.6681 | + | 12.5101i | 1.03416 | + | 0.597075i | 0.918175 | − | 0.396175i | \(-0.129663\pi\) |
0.115989 | + | 0.993250i | \(0.462996\pi\) | |||||||
\(440\) | 13.3365 | 0.635794 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.04212 | 0.144699 | ||||||||
\(443\) | 19.9446 | + | 11.5150i | 0.947595 | + | 0.547094i | 0.892333 | − | 0.451377i | \(-0.149067\pi\) |
0.0552622 | + | 0.998472i | \(0.482401\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.36387 | − | 2.36229i | −0.0646537 | − | 0.111983i | ||||
\(446\) | −3.60456 | − | 6.24329i | −0.170681 | − | 0.295628i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.55364 | − | 2.14154i | −0.0734028 | − | 0.101178i | ||||
\(449\) | 15.9028i | 0.750501i | 0.926923 | + | 0.375251i | \(0.122443\pi\) | ||||
−0.926923 | + | 0.375251i | \(0.877557\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 45.3804i | − | 2.13688i | ||||||
\(452\) | −5.91693 | − | 3.41614i | −0.278309 | − | 0.160682i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −11.0470 | + | 6.37800i | −0.518462 | + | 0.299334i | ||||
\(455\) | −1.11004 | − | 10.6325i | −0.0520394 | − | 0.498458i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.83307 | − | 4.90702i | 0.132525 | − | 0.229541i | −0.792124 | − | 0.610360i | \(-0.791025\pi\) |
0.924649 | + | 0.380819i | \(0.124358\pi\) | |||||||
\(458\) | 4.49418 | 0.209999 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 8.63411i | − | 0.402567i | ||||||
\(461\) | 15.7292 | − | 27.2438i | 0.732582 | − | 1.26887i | −0.223194 | − | 0.974774i | \(-0.571648\pi\) |
0.955776 | − | 0.294095i | \(-0.0950183\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.55148 | + | 7.88340i | 0.211525 | + | 0.366373i | 0.952192 | − | 0.305500i | \(-0.0988236\pi\) |
−0.740667 | + | 0.671873i | \(0.765490\pi\) | |||||||
\(464\) | 3.59886 | − | 2.07781i | 0.167073 | − | 0.0964597i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.07702 | + | 1.86545i | −0.0498918 | + | 0.0864152i | ||||
\(467\) | 30.3032 | 1.40226 | 0.701132 | − | 0.713032i | \(-0.252678\pi\) | ||||
0.701132 | + | 0.713032i | \(0.252678\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.7171 | − | 26.2678i | 0.541045 | − | 1.21293i | ||||
\(470\) | 24.0284 | + | 13.8728i | 1.10835 | + | 0.639906i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.93094 | − | 1.11483i | 0.0888788 | − | 0.0513142i | ||||
\(473\) | 17.3100 | − | 9.99395i | 0.795916 | − | 0.459522i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 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 | −0.807835 | − | 0.589409i | \(-0.799361\pi\) |
0.914361 | + | 0.404901i | \(0.132694\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.6994 | + | 7.90935i | −0.624639 | + | 0.360636i | ||||
\(482\) | 5.27404 | + | 9.13490i | 0.240226 | + | 0.416083i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.6123 | + | 18.3810i | −0.482377 | + | 0.835501i | ||||
\(485\) | 10.7844i | 0.489693i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −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 | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 15.6335 | + | 5.10370i | 0.706250 | + | 0.230562i | ||||
\(491\) | 17.7437 | − | 10.2443i | 0.800762 | − | 0.462320i | −0.0429758 | − | 0.999076i | \(-0.513684\pi\) |
0.843737 | + | 0.536756i | \(0.180351\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.36577 | − | 3.67528i | −0.286700 | − | 0.165526i | ||||
\(494\) | − | 1.95946i | − | 0.0881602i | ||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 8.37019i | − | 0.375832i | ||||||
\(497\) | 9.68203 | − | 7.02412i | 0.434298 | − | 0.315075i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.12598 | + | 8.87845i | 0.229470 | + | 0.397454i | 0.957651 | − | 0.287931i | \(-0.0929673\pi\) |
−0.728181 | + | 0.685385i | \(0.759634\pi\) | |||||||
\(500\) | −5.26317 | − | 9.11608i | −0.235376 | − | 0.407683i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 25.3749 | + | 14.6502i | 1.13254 | + | 0.653872i | ||||
\(503\) | 14.5521 | 0.648845 | 0.324422 | − | 0.945912i | \(-0.394830\pi\) | ||||
0.324422 | + | 0.945912i | \(0.394830\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.5600 | 0.692412 | ||||||||
\(506\) | 18.0673 | + | 10.4311i | 0.803188 | + | 0.463721i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.33834 | − | 5.78217i | −0.148115 | − | 0.256542i | ||||
\(509\) | 16.6617 | + | 28.8589i | 0.738517 | + | 1.27915i | 0.953163 | + | 0.302457i | \(0.0978068\pi\) |
−0.214646 | + | 0.976692i | \(0.568860\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −11.4408 | + | 8.30010i | −0.506113 | + | 0.367175i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 7.62860i | 0.336483i | ||||||||
\(515\) | 11.9223 | + | 6.88335i | 0.525360 | + | 0.303317i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −58.0591 | + | 33.5204i | −2.55343 | + | 1.47423i | ||||
\(518\) | −2.52685 | − | 24.2034i | −0.111023 | − | 1.06343i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.02027 | − | 3.49921i | 0.0885947 | − | 0.153451i | ||||
\(521\) | 6.53925 | 0.286490 | 0.143245 | − | 0.989687i | \(-0.454246\pi\) | ||||
0.143245 | + | 0.989687i | \(0.454246\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 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 | 0 | ||||||||
\(526\) | 6.09281 | + | 10.5531i | 0.265659 | + | 0.460135i | ||||
\(527\) | −12.8219 | + | 7.40271i | −0.558530 | + | 0.322467i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.74685 | + | 8.22178i | −0.206385 | + | 0.357469i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.75290 | + | 1.22797i | 0.119353 | + | 0.0532391i | ||||
\(533\) | −11.9068 | − | 6.87440i | −0.515741 | − | 0.297763i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.59445 | − | 5.53936i | 0.414804 | − | 0.239487i | ||||
\(536\) | 9.41477 | − | 5.43562i | 0.406656 | − | 0.234783i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.40264 | − | 1.38717i | −0.103585 | − | 0.0598050i | ||||
\(539\) | −29.5671 | + | 26.5479i | −1.27354 | + | 1.14350i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 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 | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −1.53185 | + | 0.884414i | −0.0656775 | + | 0.0379189i | ||||
\(545\) | −4.97675 | − | 8.61999i | −0.213181 | − | 0.369240i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −6.91456 | + | 11.9764i | −0.295645 | + | 0.512073i | −0.975135 | − | 0.221612i | \(-0.928868\pi\) |
0.679489 | + | 0.733685i | \(0.262201\pi\) | |||||||
\(548\) | − | 7.98789i | − | 0.341226i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.94893 | −0.125743 | ||||||||
\(551\) | −2.36729 | + | 4.10026i | −0.100850 | + | 0.174677i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 34.2837 | − | 3.57924i | 1.45789 | − | 0.152205i | ||||
\(554\) | −8.73047 | + | 5.04054i | −0.370922 | + | 0.214152i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17.9792 | + | 10.3803i | 0.762488 | + | 0.440223i | ||||
\(557\) | 27.8233i | 1.17891i | 0.807800 | + | 0.589456i | \(0.200658\pi\) | ||||
−0.807800 | + | 0.589456i | \(0.799342\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 6.05569i | − | 0.256128i | ||||||
\(560\) | 3.65007 | + | 5.03124i | 0.154243 | + | 0.212609i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −2.43641 | − | 4.21999i | −0.102774 | − | 0.178009i | ||||
\(563\) | −12.2650 | − | 21.2436i | −0.516909 | − | 0.895312i | −0.999807 | − | 0.0196359i | \(-0.993749\pi\) |
0.482898 | − | 0.875676i | \(-0.339584\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.9010 | + | 8.02574i | 0.584819 | + | 0.337645i | ||||
\(566\) | −2.81781 | −0.118441 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.52106 | 0.189699 | ||||||||
\(569\) | 23.4762 | + | 13.5540i | 0.984172 | + | 0.568212i | 0.903527 | − | 0.428531i | \(-0.140969\pi\) |
0.0806449 | + | 0.996743i | \(0.474302\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.9177 | + | 25.8382i | 0.624287 | + | 1.08130i | 0.988678 | + | 0.150051i | \(0.0479438\pi\) |
−0.364391 | + | 0.931246i | \(0.618723\pi\) | |||||||
\(572\) | 4.88151 | + | 8.45502i | 0.204106 | + | 0.353522i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 17.1199 | − | 12.4201i | 0.714570 | − | 0.518406i | ||||
\(575\) | 1.90915i | 0.0796169i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 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 | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −8.45502 | + | 4.88151i | −0.351076 | + | 0.202694i | ||||
\(581\) | 33.0141 | − | 3.44670i | 1.36965 | − | 0.142993i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −5.34234 | −0.221068 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 8.11389i | 0.335182i | ||||||||
\(587\) | −4.95928 | + | 8.58973i | −0.204692 | + | 0.354536i | −0.950034 | − | 0.312145i | \(-0.898952\pi\) |
0.745343 | + | 0.666681i | \(0.232286\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.76816 | + | 8.25870i | 0.196469 | + | 0.340294i | ||||
\(590\) | −4.53648 | + | 2.61914i | −0.186764 | + | 0.107828i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.59886 | − | 7.96547i | 0.189012 | − | 0.327379i | ||||
\(593\) | 4.69872 | 0.192953 | 0.0964766 | − | 0.995335i | \(-0.469243\pi\) | ||||
0.0964766 | + | 0.995335i | \(0.469243\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.47894 | − | 10.0411i | 0.183619 | − | 0.411643i | ||||
\(596\) | 1.03726 | + | 0.598865i | 0.0424880 | + | 0.0245305i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5.47381 | − | 3.16030i | 0.223841 | − | 0.129234i | ||||
\(599\) | −12.7309 | + | 7.35019i | −0.520170 | + | 0.300320i | −0.737004 | − | 0.675888i | \(-0.763760\pi\) |
0.216834 | + | 0.976208i | \(0.430427\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 16.2923 | + | 9.40634i | 0.664575 | + | 0.383693i | 0.794018 | − | 0.607894i | \(-0.207986\pi\) |
−0.129443 | + | 0.991587i | \(0.541319\pi\) | |||||||
\(602\) | 8.50781 | + | 3.79502i | 0.346752 | + | 0.154673i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −15.2246 | −0.619480 | ||||||||
\(605\) | 24.9321 | − | 43.1836i | 1.01363 | − | 1.75566i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.9051 | − | 6.29608i | 0.442625 | − | 0.255550i | −0.262085 | − | 0.965045i | \(-0.584410\pi\) |
0.704711 | + | 0.709495i | \(0.251077\pi\) | |||||||
\(608\) | 0.569660 | + | 0.986680i | 0.0231028 | + | 0.0400152i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10.5718 | − | 18.3108i | 0.428038 | − | 0.741383i | ||||
\(611\) | 20.3112i | 0.821704i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −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 | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −14.9379 | + | 1.55953i | −0.601864 | + | 0.0628351i | ||||
\(617\) | 3.25158 | − | 1.87730i | 0.130904 | − | 0.0755772i | −0.433118 | − | 0.901337i | \(-0.642587\pi\) |
0.564022 | + | 0.825760i | \(0.309253\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.56902 | + | 5.52468i | 0.384611 | + | 0.222055i | 0.679823 | − | 0.733376i | \(-0.262057\pi\) |
−0.295211 | + | 0.955432i | \(0.595390\pi\) | |||||||
\(620\) | 19.6646i | 0.789748i | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 8.23637i | − | 0.330248i | ||||||
\(623\) | 1.80387 | + | 2.48645i | 0.0722706 | + | 0.0996176i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.6638 | + | 23.6664i | 0.546551 | + | 0.946654i | ||||
\(626\) | −16.9011 | − | 29.2736i | −0.675505 | − | 1.17001i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.68358 | + | 5.01347i | 0.346513 | + | 0.200059i | ||||
\(629\) | −16.2692 | −0.648696 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 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 | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.36545 | − | 5.82913i | −0.133659 | − | 0.231504i | ||||
\(635\) | 7.84294 | + | 13.5844i | 0.311238 | + | 0.539080i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.48665 | + | 11.7793i | 0.0985245 | + | 0.466714i | ||||
\(638\) | − | 23.5900i | − | 0.933938i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.34936i | 0.0928665i | ||||||||
\(641\) | 22.6669 | + | 13.0868i | 0.895290 | + | 0.516896i | 0.875669 | − | 0.482912i | \(-0.160421\pi\) |
0.0196208 | + | 0.999807i | \(0.493754\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 9.50955 | − | 5.49034i | 0.375020 | − | 0.216518i | −0.300629 | − | 0.953741i | \(-0.597197\pi\) |
0.675649 | + | 0.737223i | \(0.263863\pi\) | |||||||
\(644\) | 1.00964 | + | 9.67082i | 0.0397854 | + | 0.381084i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.00763 | − | 1.74527i | 0.0396447 | − | 0.0686666i | ||||
\(647\) | −32.0126 | −1.25855 | −0.629273 | − | 0.777185i | \(-0.716647\pi\) | ||||
−0.629273 | + | 0.777185i | \(0.716647\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 12.6570i | − | 0.496833i | ||||||
\(650\) | −0.446715 | + | 0.773734i | −0.0175216 | + | 0.0303483i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.00158 | + | 10.3950i | 0.235040 | + | 0.407101i | ||||
\(653\) | −19.3686 | + | 11.1825i | −0.757952 | + | 0.437604i | −0.828560 | − | 0.559900i | \(-0.810839\pi\) |
0.0706080 | + | 0.997504i | \(0.477506\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −8.77843 | + | 15.2047i | −0.343002 | + | 0.594097i | ||||
\(656\) | 7.99419 | 0.312121 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −28.5358 | − | 12.7288i | −1.11244 | − | 0.496219i | ||||
\(659\) | 19.2546 | + | 11.1166i | 0.750053 | + | 0.433043i | 0.825713 | − | 0.564091i | \(-0.190773\pi\) |
−0.0756603 | + | 0.997134i | \(0.524106\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.13646 | + | 5.27494i | −0.355367 | + | 0.205171i | −0.667047 | − | 0.745016i | \(-0.732442\pi\) |
0.311679 | + | 0.950187i | \(0.399108\pi\) | |||||||
\(662\) | 27.7621 | − | 16.0284i | 1.07900 | − | 0.622963i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.8651 | + | 6.27298i | 0.421649 | + | 0.243439i | ||||
\(665\) | −6.46754 | − | 2.88493i | −0.250801 | − | 0.111873i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.2723 | −0.591344 | ||||||||
\(668\) | 8.57472 | − | 14.8518i | 0.331766 | − | 0.574635i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −22.1187 | + | 12.7702i | −0.854519 | + | 0.493357i | ||||
\(671\) | 25.5442 | + | 44.2438i | 0.986121 | + | 1.70801i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 9.93562 | − | 17.2090i | 0.382990 | − | 0.663358i | −0.608498 | − | 0.793555i | \(-0.708228\pi\) |
0.991488 | + | 0.130197i | \(0.0415610\pi\) | |||||||
\(674\) | − | 24.2246i | − | 0.933096i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −10.0421 | −0.386235 | ||||||||
\(677\) | 7.96449 | − | 13.7949i | 0.306100 | − | 0.530181i | −0.671405 | − | 0.741090i | \(-0.734309\pi\) |
0.977506 | + | 0.210909i | \(0.0676424\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.26108 | − | 12.0793i | −0.0483960 | − | 0.463560i | ||||
\(680\) | 3.59886 | − | 2.07781i | 0.138010 | − | 0.0796802i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −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 | 0 | ||||||||
\(685\) | 18.7664i | 0.717028i | ||||||||
\(686\) | −18.1075 | − | 3.88839i | −0.691346 | − | 0.148459i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.76053 | + | 3.04933i | 0.0671196 | + | 0.116254i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.139477 | + | 0.0805273i | 0.00530597 | + | 0.00306340i | 0.502651 | − | 0.864490i | \(-0.332358\pi\) |
−0.497345 | + | 0.867553i | \(0.665692\pi\) | |||||||
\(692\) | −1.98748 | −0.0755525 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −22.7999 | −0.865471 | ||||||||
\(695\) | −42.2396 | − | 24.3870i | −1.60224 | − | 0.925053i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.07017 | − | 12.2459i | −0.267802 | − | 0.463847i | ||||
\(698\) | −1.42253 | − | 2.46389i | −0.0538434 | − | 0.0932595i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.807090 | − | 1.11249i | −0.0305051 | − | 0.0420482i | ||||
\(701\) | 9.98234i | 0.377028i | 0.982071 | + | 0.188514i | \(0.0603670\pi\) | ||||
−0.982071 | + | 0.188514i | \(0.939633\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 10.4792i | 0.395229i | ||||||||
\(704\) | −4.91614 | − | 2.83834i | −0.185284 | − | 0.106974i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.18709 | − | 3.57212i | 0.232854 | − | 0.134438i | ||||
\(707\) | −17.4283 | + | 1.81953i | −0.655460 | + | 0.0684306i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 12.1962 | − | 21.1244i | 0.458036 | − | 0.793342i | −0.540821 | − | 0.841138i | \(-0.681886\pi\) |
0.998857 | + | 0.0477959i | \(0.0152197\pi\) | |||||||
\(710\) | −10.6216 | −0.398621 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 1.16106i | 0.0435125i | ||||||||
\(713\) | −15.3806 | + | 26.6400i | −0.576008 | + | 0.997676i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.4684 | − | 19.8639i | −0.428894 | − | 0.742867i | ||||
\(716\) | −7.19773 | + | 4.15561i | −0.268992 | + | 0.155302i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.80186 | + | 10.0491i | −0.216523 | + | 0.375030i | ||||
\(719\) | 16.2692 | 0.606739 | 0.303370 | − | 0.952873i | \(-0.401888\pi\) | ||||
0.303370 | + | 0.952873i | \(0.401888\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −14.1588 | − | 6.31570i | −0.527300 | − | 0.235209i | ||||
\(722\) | 15.3303 | + | 8.85097i | 0.570536 | + | 0.329399i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 13.3837 | − | 7.72706i | 0.497400 | − | 0.287174i | ||||
\(725\) | 1.86955 | − | 1.07938i | 0.0694332 | − | 0.0400873i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 20.6626 | + | 11.9296i | 0.766335 | + | 0.442444i | 0.831566 | − | 0.555427i | \(-0.187445\pi\) |
−0.0652306 | + | 0.997870i | \(0.520778\pi\) | |||||||
\(728\) | −1.85366 | + | 4.15561i | −0.0687013 | + | 0.154017i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.5511 | 0.464536 | ||||||||
\(731\) | 3.11408 | − | 5.39374i | 0.115178 | − | 0.199495i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.6259 | − | 6.13486i | 0.392476 | − | 0.226596i | −0.290756 | − | 0.956797i | \(-0.593907\pi\) |
0.683233 | + | 0.730201i | \(0.260574\pi\) | |||||||
\(734\) | 3.91747 | + | 6.78525i | 0.144596 | + | 0.250448i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.83755 | + | 3.18272i | −0.0677329 | + | 0.117317i | ||||
\(737\) | − | 61.7125i | − | 2.27321i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 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 | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −43.9160 | + | 25.3549i | −1.61112 | + | 0.930182i | −0.622011 | + | 0.783008i | \(0.713684\pi\) |
−0.989111 | + | 0.147173i | \(0.952982\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.43690 | − | 1.40695i | −0.0892813 | − | 0.0515466i | ||||
\(746\) | − | 25.6677i | − | 0.939762i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 10.0411i | 0.367137i | ||||||||
\(749\) | −10.0987 | + | 7.32642i | −0.368999 | + | 0.267701i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.3683 | + | 28.3508i | 0.597289 | + | 1.03454i | 0.993219 | + | 0.116255i | \(0.0370890\pi\) |
−0.395930 | + | 0.918281i | \(0.629578\pi\) | |||||||
\(752\) | −5.90494 | − | 10.2277i | −0.215331 | − | 0.372964i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −6.18951 | − | 3.57351i | −0.225408 | − | 0.130140i | ||||
\(755\) | 35.7680 | 1.30173 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −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 | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.33834 | − | 2.31806i | −0.0485465 | − | 0.0840850i | ||||
\(761\) | −21.8509 | − | 37.8469i | −0.792096 | − | 1.37195i | −0.924667 | − | 0.380777i | \(-0.875657\pi\) |
0.132571 | − | 0.991174i | \(-0.457677\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.58231 | + | 9.07305i | 0.238296 | + | 0.328466i | ||||
\(764\) | − | 12.3381i | − | 0.446376i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 1.52664i | − | 0.0551599i | ||||||
\(767\) | −3.32093 | − | 1.91734i | −0.119912 | − | 0.0692311i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −37.0864 | + | 21.4118i | −1.33737 | + | 0.772131i | −0.986417 | − | 0.164262i | \(-0.947476\pi\) |
−0.350953 | + | 0.936393i | \(0.614142\pi\) | |||||||
\(770\) | 35.0944 | − | 3.66388i | 1.26471 | − | 0.132037i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.19694 | − | 3.80521i | 0.0790696 | − | 0.136953i | ||||
\(773\) | 21.6051 | 0.777080 | 0.388540 | − | 0.921432i | \(-0.372980\pi\) | ||||
0.388540 | + | 0.921432i | \(0.372980\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 4.34816i | − | 0.156191i | ||||||
\(776\) | 2.29517 | − | 3.97536i | 0.0823919 | − | 0.142707i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7.44483 | − | 12.8948i | −0.266910 | − | 0.462302i | ||||
\(779\) | −7.88771 | + | 4.55397i | −0.282606 | + | 0.163163i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.8323 | − | 22.2262i | 0.459175 | − | 0.795315i | ||||
\(782\) | 6.50061 | 0.232461 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.67667 | − | 5.20853i | −0.167024 | − | 0.186019i | ||||
\(785\) | −20.4008 | − | 11.7784i | −0.728137 | − | 0.420390i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −44.4307 | + | 25.6521i | −1.58378 | + | 0.914398i | −0.589484 | + | 0.807780i | \(0.700669\pi\) |
−0.994300 | + | 0.106618i | \(0.965998\pi\) | |||||||
\(788\) | −9.42799 | + | 5.44325i | −0.335858 | + | 0.193908i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −26.5077 | − | 15.3042i | −0.943102 | − | 0.544500i | ||||
\(791\) | −16.5086 | − | 7.36387i | −0.586978 | − | 0.261829i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 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 | 0.881510 | − | 0.472166i | \(-0.156528\pi\) |
−0.849662 | + | 0.527327i | \(0.823194\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10.4448 | + | 18.0910i | −0.369512 | + | 0.640013i | ||||
\(800\) | − | 0.519482i | − | 0.0183665i | ||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 38.1735 | 1.34795 | ||||||||
\(803\) | −15.1634 | + | 26.2637i | −0.535103 | + | 0.926826i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.37201 | − | 22.7202i | −0.0836023 | − | 0.800783i | ||||
\(806\) | −12.4668 | + | 7.19773i | −0.439125 | + | 0.253529i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −5.73577 | − | 3.31155i | −0.201784 | − | 0.116500i | ||||
\(809\) | 40.6883i | 1.43052i | 0.698857 | + | 0.715262i | \(0.253692\pi\) | ||||
−0.698857 | + | 0.715262i | \(0.746308\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 0.378710i | − | 0.0132983i | −0.999978 | − | 0.00664916i | \(-0.997883\pi\) | ||
0.999978 | − | 0.00664916i | \(-0.00211651\pi\) | |||||||
\(812\) | 8.89940 | − | 6.45634i | 0.312308 | − | 0.226573i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −26.1062 | − | 45.2173i | −0.915023 | − | 1.58487i | ||||
\(815\) | −14.0999 | − | 24.4217i | −0.493896 | − | 0.855453i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.47416 | − | 2.00581i | −0.121545 | − | 0.0701743i | ||||
\(818\) | 6.96694 | 0.243593 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −18.7812 | −0.655868 | ||||||||
\(821\) | −11.4968 | − | 6.63771i | −0.401243 | − | 0.231658i | 0.285777 | − | 0.958296i | \(-0.407748\pi\) |
−0.687020 | + | 0.726638i | \(0.741082\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.8711 | − | 24.0255i | −0.483517 | − | 0.837476i | 0.516304 | − | 0.856405i | \(-0.327308\pi\) |
−0.999821 | + | 0.0189295i | \(0.993974\pi\) | |||||||
\(824\) | −2.92989 | − | 5.07471i | −0.102067 | − | 0.176786i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.77491 | − | 3.46410i | 0.166140 | − | 0.120531i | ||||
\(827\) | 27.7183i | 0.963859i | 0.876210 | + | 0.481929i | \(0.160064\pi\) | ||||
−0.876210 | + | 0.481929i | \(0.839936\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 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 | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.48943 | + | 0.859925i | −0.0516368 | + | 0.0298125i | ||||
\(833\) | −3.84257 | + | 11.7705i | −0.133137 | + | 0.407822i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −20.1451 | + | 34.8923i | −0.697149 | + | 1.20750i | ||||
\(836\) | 6.46754 | 0.223685 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 34.8463i | 1.20375i | ||||||||
\(839\) | 1.92438 | − | 3.33313i | 0.0664370 | − | 0.115072i | −0.830894 | − | 0.556431i | \(-0.812170\pi\) |
0.897331 | + | 0.441359i | \(0.145504\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.86545 | − | 10.1593i | −0.202257 | − | 0.350319i | ||||
\(842\) | 4.92936 | − | 2.84597i | 0.169877 | − | 0.0980785i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −5.15561 | + | 8.92978i | −0.177463 | + | 0.307376i | ||||
\(845\) | 23.5925 | 0.811608 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −22.8760 | + | 51.2842i | −0.786028 | + | 1.76215i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.795769 | + | 0.459437i | −0.0272946 | + | 0.0157586i | ||||
\(851\) | −29.2738 | + | 16.9013i | −1.00349 | + | 0.579368i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −26.3470 | − | 15.2114i | −0.902103 | − | 0.520830i | −0.0242213 | − | 0.999707i | \(-0.507711\pi\) |
−0.877882 | + | 0.478877i | \(0.841044\pi\) | |||||||
\(854\) | −9.69992 | + | 21.7456i | −0.331924 | + | 0.744121i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.71563 | −0.161177 | ||||||||
\(857\) | −19.4657 | + | 33.7156i | −0.664937 | + | 1.15170i | 0.314366 | + | 0.949302i | \(0.398208\pi\) |
−0.979303 | + | 0.202402i | \(0.935125\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 11.5922 | − | 6.69275i | 0.395520 | − | 0.228354i | −0.289029 | − | 0.957320i | \(-0.593332\pi\) |
0.684549 | + | 0.728967i | \(0.259999\pi\) | |||||||
\(860\) | −4.13611 | − | 7.16396i | −0.141040 | − | 0.244289i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15.1468 | − | 26.2350i | 0.515901 | − | 0.893567i | ||||
\(863\) | − | 21.7219i | − | 0.739424i | −0.929146 | − | 0.369712i | \(-0.879456\pi\) | ||
0.929146 | − | 0.369712i | \(-0.120544\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 4.66929 | 0.158761 | ||||||||
\(866\) | −11.8047 | + | 20.4463i | −0.401139 | + | 0.694794i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.29950 | − | 22.0257i | −0.0780502 | − | 0.747602i | ||||
\(869\) | 64.0496 | − | 36.9791i | 2.17273 | − | 1.25443i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −16.1920 | − | 9.34845i | −0.548645 | − | 0.316760i | ||||
\(872\) | 4.23669i | 0.143473i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 4.18711i | − | 0.141631i | ||||||
\(875\) | −16.3542 | − | 22.5426i | −0.552872 | − | 0.762078i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.196152 | − | 0.339746i | −0.00662360 | − | 0.0114724i | 0.862695 | − | 0.505725i | \(-0.168775\pi\) |
−0.869318 | + | 0.494253i | \(0.835442\pi\) | |||||||
\(878\) | 12.5101 | + | 21.6681i | 0.422196 | + | 0.731265i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 11.5498 | + | 6.66826i | 0.389343 | + | 0.224787i | ||||
\(881\) | −43.3363 | −1.46004 | −0.730018 | − | 0.683427i | \(-0.760489\pi\) | ||||
−0.730018 | + | 0.683427i | \(0.760489\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 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 | 0 | ||||||||
\(886\) | 11.5150 | + | 19.9446i | 0.386854 | + | 0.670051i | ||||
\(887\) | 5.72215 | + | 9.91105i | 0.192131 | + | 0.332781i | 0.945956 | − | 0.324294i | \(-0.105127\pi\) |
−0.753825 | + | 0.657075i | \(0.771793\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −10.3732 | − | 14.2984i | −0.347905 | − | 0.479551i | ||||
\(890\) | − | 2.72774i | − | 0.0914341i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 7.20913i | − | 0.241379i | ||||||
\(893\) | 11.6526 | + | 6.72762i | 0.389939 | + | 0.225131i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.9100 | − | 9.76302i | 0.565240 | − | 0.326342i | ||||
\(896\) | −0.274725 | − | 2.63145i | −0.00917793 | − | 0.0879106i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −7.95142 | + | 13.7723i | −0.265342 | + | 0.459586i | ||||
\(899\) | 34.7832 | 1.16009 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0 | 0 | ||||||||
\(902\) | 22.6902 | − | 39.3006i | 0.755501 | − | 1.30857i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3.41614 | − | 5.91693i | −0.113619 | − | 0.196794i | ||||
\(905\) | −31.4430 | + | 18.1536i | −1.04520 | + | 0.603447i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.9446 | − | 46.6694i | 0.894680 | − | 1.54963i | 0.0604797 | − | 0.998169i | \(-0.480737\pi\) |
0.834200 | − | 0.551462i | \(-0.185930\pi\) | |||||||
\(908\) | −12.7560 | −0.423323 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.35492 | − | 9.76302i | 0.144364 | − | 0.323641i | ||||
\(911\) | 7.00460 | + | 4.04411i | 0.232073 | + | 0.133987i | 0.611528 | − | 0.791223i | \(-0.290555\pi\) |
−0.379455 | + | 0.925210i | \(0.623889\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 61.6777 | − | 35.6097i | 2.04124 | − | 1.17851i | ||||
\(914\) | 4.90702 | − | 2.83307i | 0.162310 | − | 0.0937096i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.89208 | + | 2.24709i | 0.128598 | + | 0.0742460i | ||||
\(917\) | 8.05450 | − | 18.0569i | 0.265983 | − | 0.596290i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 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 | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 27.2438 | − | 15.7292i | 0.897226 | − | 0.518014i | ||||
\(923\) | −3.88777 | − | 6.73382i | −0.127968 | − | 0.221646i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.38903 | − | 4.13792i | 0.0785507 | − | 0.136054i | ||||
\(926\) | 9.10296i | 0.299142i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.15561 | 0.136415 | ||||||||
\(929\) | −5.42618 | + | 9.39842i | −0.178027 | + | 0.308352i | −0.941205 | − | 0.337837i | \(-0.890305\pi\) |
0.763177 | + | 0.646189i | \(0.223638\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.58147 | + | 2.47504i | 0.248473 | + | 0.0811161i | ||||
\(932\) | −1.86545 | + | 1.07702i | −0.0611048 | + | 0.0352789i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 26.2433 | + | 15.1516i | 0.858708 | + | 0.495775i | ||||
\(935\) | − | 23.5900i | − | 0.771477i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 0.458120i | − | 0.0149661i | −0.999972 | − | 0.00748306i | \(-0.997618\pi\) | ||
0.999972 | − | 0.00748306i | \(-0.00238195\pi\) | |||||||
\(938\) | 23.2812 | − | 16.8900i | 0.760158 | − | 0.551479i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 13.8728 | + | 24.0284i | 0.452482 | + | 0.783721i | ||||
\(941\) | 3.68890 | + | 6.38937i | 0.120255 | + | 0.208287i | 0.919868 | − | 0.392228i | \(-0.128296\pi\) |
−0.799613 | + | 0.600515i | \(0.794962\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.4433 | − | 14.6897i | −0.828548 | − | 0.478362i | ||||
\(944\) | 2.22966 | 0.0725693 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 19.9879 | 0.649862 | ||||||||
\(947\) | 10.3846 | + | 5.99552i | 0.337453 | + | 0.194828i | 0.659145 | − | 0.752016i | \(-0.270918\pi\) |
−0.321692 | + | 0.946844i | \(0.604252\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.59401 | + | 7.95706i | 0.149128 | + | 0.258297i | ||||
\(950\) | 0.295928 | + | 0.512563i | 0.00960118 | + | 0.0166297i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −3.78802 | + | 2.74813i | −0.122770 | + | 0.0890674i | ||||
\(953\) | 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 | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 4.03816 | − | 2.33143i | 0.130467 | − | 0.0753251i | ||||
\(959\) | −2.19448 | − | 21.0197i | −0.0708633 | − | 0.678763i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.5300 | − | 33.8270i | 0.630000 | − | 1.09119i | ||||
\(962\) | −15.8187 | −0.510016 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 10.5481i | 0.339731i | ||||||||
\(965\) | −5.16140 | + | 8.93981i | −0.166151 | + | 0.287783i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.37560 | − | 5.84671i | −0.108552 | − | 0.188018i | 0.806632 | − | 0.591054i | \(-0.201288\pi\) |
−0.915184 | + | 0.403037i | \(0.867955\pi\) | |||||||
\(968\) | −18.3810 | + | 10.6123i | −0.590789 | + | 0.341092i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.39218 | + | 9.33953i | −0.173133 | + | 0.299874i | ||||
\(971\) | 6.40724 | 0.205618 | 0.102809 | − | 0.994701i | \(-0.467217\pi\) | ||||
0.102809 | + | 0.994701i | \(0.467217\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 50.1631 | + | 22.3759i | 1.60816 | + | 0.717338i | ||||
\(974\) | −16.8720 | − | 9.74105i | −0.540613 | − | 0.312123i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −7.79396 | + | 4.49985i | −0.249479 | + | 0.144037i | ||||
\(977\) | −11.7769 | + | 6.79937i | −0.376775 | + | 0.217531i | −0.676414 | − | 0.736521i | \(-0.736467\pi\) |
0.299639 | + | 0.954053i | \(0.403134\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 5.70793 | + | 3.29547i | 0.182426 | + | 0.105324i | ||||
\(980\) | 10.9872 | + | 12.2367i | 0.350972 | + | 0.390887i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 20.4886 | 0.653819 | ||||||||
\(983\) | −11.3849 | + | 19.7192i | −0.363122 | + | 0.628946i | −0.988473 | − | 0.151398i | \(-0.951623\pi\) |
0.625351 | + | 0.780344i | \(0.284956\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 22.1497 | − | 12.7882i | 0.705749 | − | 0.407464i | ||||
\(986\) | −3.67528 | − | 6.36577i | −0.117045 | − | 0.202728i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.979729 | − | 1.69694i | 0.0311693 | − | 0.0539869i | ||||
\(989\) | − | 12.9402i | − | 0.411475i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −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 | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 11.8969 | − | 1.24205i | 0.377348 | − | 0.0393954i | ||||
\(995\) | 56.0869 | − | 32.3818i | 1.77807 | − | 1.02657i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −16.7263 | − | 9.65694i | −0.529728 | − | 0.305838i | 0.211178 | − | 0.977448i | \(-0.432270\pi\) |
−0.740906 | + | 0.671609i | \(0.765603\pi\) | |||||||
\(998\) | 10.2520i | 0.324520i | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))