Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(689,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.689");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1008.df (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: | \(8.04892052375\) |
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: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
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 | 689.7 | ||
Root | \(-1.70672 + 0.295146i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1008.689 |
Dual form | 1008.2.df.c.929.7 |
$q$-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 \(\left(\mathbb{Z}/1008\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(577\) | \(757\) | \(785\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.72571 | − | 0.148116i | 0.996337 | − | 0.0855146i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.967324 | 0.432600 | 0.216300 | − | 0.976327i | \(-0.430601\pi\) | ||||
0.216300 | + | 0.976327i | \(0.430601\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.40137 | + | 1.11060i | −0.907632 | + | 0.419767i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.95612 | − | 0.511208i | 0.985375 | − | 0.170403i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.57361i | 1.68051i | 0.542193 | + | 0.840254i | \(0.317594\pi\) | ||||
−0.542193 | + | 0.840254i | \(0.682406\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.76893 | + | 2.17600i | 1.04531 | + | 0.603512i | 0.921334 | − | 0.388772i | \(-0.127101\pi\) |
0.123980 | + | 0.992285i | \(0.460434\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.66932 | − | 0.143276i | 0.431016 | − | 0.0369937i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.97267 | + | 3.41677i | −0.478443 | + | 0.828688i | −0.999695 | − | 0.0247150i | \(-0.992132\pi\) |
0.521251 | + | 0.853403i | \(0.325465\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.86796 | + | 2.23317i | −0.887371 | + | 0.512324i | −0.873082 | − | 0.487574i | \(-0.837882\pi\) |
−0.0142896 | + | 0.999898i | \(0.504549\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.97956 | + | 2.27225i | −0.868411 | + | 0.495845i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − | 2.65334i | − | 0.553260i | −0.960976 | − | 0.276630i | \(-0.910782\pi\) | ||
0.960976 | − | 0.276630i | \(-0.0892177\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.06428 | −0.812857 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.02568 | − | 1.32004i | 0.967193 | − | 0.254042i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.61157 | − | 2.66249i | 0.856347 | − | 0.494412i | −0.00644015 | − | 0.999979i | \(-0.502050\pi\) |
0.862787 | + | 0.505567i | \(0.168717\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.34038 | − | 3.08327i | 0.959161 | − | 0.553772i | 0.0632466 | − | 0.997998i | \(-0.479855\pi\) |
0.895915 | + | 0.444226i | \(0.146521\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.825539 | + | 9.61842i | 0.143708 | + | 1.67435i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −2.32290 | + | 1.07431i | −0.392642 | + | 0.181592i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.243608 | + | 0.421942i | 0.0400490 | + | 0.0693669i | 0.885355 | − | 0.464915i | \(-0.153915\pi\) |
−0.845306 | + | 0.534282i | \(0.820582\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.82637 | + | 3.19689i | 1.09309 | + | 0.511912i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.0818856 | + | 0.141830i | −0.0127884 | + | 0.0221501i | −0.872349 | − | 0.488884i | \(-0.837404\pi\) |
0.859560 | + | 0.511034i | \(0.170737\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.35045 | + | 7.53520i | 0.663437 | + | 1.14911i | 0.979707 | + | 0.200437i | \(0.0642362\pi\) |
−0.316270 | + | 0.948669i | \(0.602430\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.85953 | − | 0.494504i | 0.426273 | − | 0.0737163i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.74500 | − | 8.21859i | 0.692130 | − | 1.19880i | −0.279009 | − | 0.960289i | \(-0.590006\pi\) |
0.971139 | − | 0.238516i | \(-0.0766609\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.53314 | − | 5.33392i | 0.647591 | − | 0.761988i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.89818 | + | 6.18852i | −0.405826 | + | 0.866567i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.74520 | + | 1.00759i | 0.239722 | + | 0.138403i | 0.615049 | − | 0.788489i | \(-0.289136\pi\) |
−0.375327 | + | 0.926892i | \(0.622470\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.39149i | 0.726988i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −6.34420 | + | 4.42670i | −0.840310 | + | 0.586331i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −0.836931 | − | 1.44961i | −0.108959 | − | 0.188723i | 0.806390 | − | 0.591384i | \(-0.201418\pi\) |
−0.915349 | + | 0.402662i | \(0.868085\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.47927 | − | 2.58611i | −0.573512 | − | 0.331117i | 0.185039 | − | 0.982731i | \(-0.440759\pi\) |
−0.758551 | + | 0.651614i | \(0.774092\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −6.53099 | + | 4.51067i | −0.822828 | + | 0.568291i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.64578 | + | 2.10489i | 0.452203 | + | 0.261080i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.72126 | − | 4.71336i | −0.332455 | − | 0.575828i | 0.650538 | − | 0.759474i | \(-0.274544\pi\) |
−0.982993 | + | 0.183645i | \(0.941210\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.393002 | − | 4.57889i | −0.0473118 | − | 0.551234i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 3.64006i | − | 0.431996i | −0.976394 | − | 0.215998i | \(-0.930700\pi\) | ||
0.976394 | − | 0.215998i | \(-0.0693005\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.15468 | − | 1.24401i | −0.252186 | − | 0.145600i | 0.368579 | − | 0.929597i | \(-0.379845\pi\) |
−0.620765 | + | 0.783997i | \(0.713178\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.01376 | + | 0.601984i | −0.809879 | + | 0.0695111i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.19005 | − | 13.3843i | −0.705422 | − | 1.52528i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.30121 | − | 3.98581i | 0.258906 | − | 0.448438i | −0.707043 | − | 0.707170i | \(-0.749971\pi\) |
0.965949 | + | 0.258732i | \(0.0833046\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.47733 | − | 3.02239i | 0.941926 | − | 0.335821i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.20979 | − | 7.29158i | −0.462085 | − | 0.800355i | 0.536980 | − | 0.843595i | \(-0.319565\pi\) |
−0.999065 | + | 0.0432405i | \(0.986232\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.90821 | + | 3.30512i | −0.206975 | + | 0.358491i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 7.56386 | − | 5.27772i | 0.810931 | − | 0.565831i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 2.05811 | + | 3.56475i | 0.218159 | + | 0.377863i | 0.954245 | − | 0.299025i | \(-0.0966615\pi\) |
−0.736086 | + | 0.676888i | \(0.763328\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −11.4673 | − | 1.03959i | −1.20210 | − | 0.108978i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 8.75925 | − | 6.11182i | 0.908292 | − | 0.633766i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.74157 | + | 2.16020i | −0.383877 | + | 0.221632i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.2669 | + | 5.92762i | −1.04245 | + | 0.601859i | −0.920526 | − | 0.390681i | \(-0.872240\pi\) |
−0.121924 | + | 0.992539i | \(0.538906\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.84928 | + | 16.4763i | 0.286363 | + | 1.65593i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.31626 | 0.528988 | 0.264494 | − | 0.964387i | \(-0.414795\pi\) | ||||
0.264494 | + | 0.964387i | \(0.414795\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.94450i | 0.881327i | 0.897672 | + | 0.440664i | \(0.145257\pi\) | ||||
−0.897672 | + | 0.440664i | \(0.854743\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.84952 | + | 2.19800i | −0.375675 | + | 0.214503i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 16.5898 | − | 9.57813i | 1.60380 | − | 0.925953i | 0.613079 | − | 0.790022i | \(-0.289931\pi\) |
0.990718 | − | 0.135931i | \(-0.0434026\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.62168 | + | 16.6652i | −0.921590 | + | 1.59624i | −0.124635 | + | 0.992203i | \(0.539776\pi\) |
−0.796955 | + | 0.604038i | \(0.793557\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.482893 | + | 0.692066i | 0.0458342 | + | 0.0656880i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.31199 | + | 4.22158i | 0.687854 | + | 0.397133i | 0.802808 | − | 0.596238i | \(-0.203339\pi\) |
−0.114953 | + | 0.993371i | \(0.536672\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 2.56664i | − | 0.239341i | ||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 12.2538 | + | 4.50580i | 1.13287 | + | 0.416561i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.942449 | − | 10.3958i | 0.0863942 | − | 0.952979i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −20.0652 | −1.82411 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.120303 | + | 0.256885i | −0.0108474 | + | 0.0231626i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.76810 | −0.784243 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.31883 | −0.294498 | −0.147249 | − | 0.989099i | \(-0.547042\pi\) | ||||
−0.147249 | + | 0.989099i | \(0.547042\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.62367 | + | 12.3592i | 0.759272 | + | 1.08816i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 18.7467 | 1.63791 | 0.818954 | − | 0.573859i | \(-0.194554\pi\) | ||||
0.818954 | + | 0.573859i | \(0.194554\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.80824 | − | 9.65842i | 0.590350 | − | 0.837491i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.86146 | − | 1.27691i | 0.418408 | − | 0.109899i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − | 16.9343i | − | 1.44680i | −0.690430 | − | 0.723399i | \(-0.742579\pi\) | ||
0.690430 | − | 0.723399i | \(-0.257421\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.5033 | − | 6.06406i | −0.890875 | − | 0.514347i | −0.0166466 | − | 0.999861i | \(-0.505299\pi\) |
−0.874229 | + | 0.485514i | \(0.838632\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.97118 | − | 14.8857i | 0.587079 | − | 1.25360i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −12.1282 | + | 21.0066i | −1.01421 | + | 1.75666i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.46088 | − | 2.57549i | 0.370456 | − | 0.213883i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 7.03282 | − | 9.87620i | 0.580058 | − | 0.814576i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | − | 8.74051i | − | 0.716051i | −0.933712 | − | 0.358025i | \(-0.883450\pi\) | ||
0.933712 | − | 0.358025i | \(-0.116550\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −22.0941 | −1.79799 | −0.898997 | − | 0.437954i | \(-0.855703\pi\) | ||||
−0.898997 | + | 0.437954i | \(0.855703\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.08478 | + | 11.1088i | −0.330235 | + | 0.898096i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 5.16588 | − | 2.98252i | 0.414934 | − | 0.239562i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.23372 | − | 0.712287i | 0.0984614 | − | 0.0568467i | −0.449961 | − | 0.893048i | \(-0.648562\pi\) |
0.548422 | + | 0.836202i | \(0.315229\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.16094 | + | 1.48032i | 0.250679 | + | 0.117397i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 2.94680 | + | 6.37165i | 0.232241 | + | 0.502157i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.72148 | + | 6.44579i | 0.291489 | + | 0.504873i | 0.974162 | − | 0.225851i | \(-0.0725161\pi\) |
−0.682673 | + | 0.730724i | \(0.739183\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.798564 | + | 9.30413i | 0.0621681 | + | 0.724325i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.24855 | + | 5.62665i | −0.251380 | + | 0.435404i | −0.963906 | − | 0.266242i | \(-0.914218\pi\) |
0.712526 | + | 0.701646i | \(0.247551\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.96991 | + | 5.14404i | 0.228455 | + | 0.395695i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −10.2926 | + | 8.57886i | −0.787092 | + | 0.656042i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 5.90938 | − | 10.2354i | 0.449282 | − | 0.778179i | −0.549057 | − | 0.835785i | \(-0.685013\pi\) |
0.998339 | + | 0.0576053i | \(0.0183465\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.75984 | − | 4.51379i | 0.737775 | − | 0.341211i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.65901 | − | 2.37763i | −0.124699 | − | 0.178714i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.10764 | − | 1.21685i | −0.157533 | − | 0.0909515i | 0.419161 | − | 0.907912i | \(-0.362324\pi\) |
−0.576694 | + | 0.816960i | \(0.695657\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 11.5342i | − | 0.857327i | −0.903464 | − | 0.428663i | \(-0.858985\pi\) | ||
0.903464 | − | 0.428663i | \(-0.141015\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.11294 | − | 3.79941i | −0.599726 | − | 0.280861i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.235648 | + | 0.408155i | 0.0173252 | + | 0.0300081i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −19.0438 | − | 10.9949i | −1.39262 | − | 0.804028i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −10.6025 | + | 8.75143i | −0.771216 | + | 0.636573i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −19.1122 | − | 11.0345i | −1.38291 | − | 0.798425i | −0.390409 | − | 0.920641i | \(-0.627666\pi\) |
−0.992503 | + | 0.122216i | \(0.961000\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.96979 | + | 17.2682i | 0.717641 | + | 1.24299i | 0.961932 | + | 0.273289i | \(0.0881116\pi\) |
−0.244291 | + | 0.969702i | \(0.578555\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 6.60331 | + | 3.09243i | 0.472873 | + | 0.221453i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 4.62560i | − | 0.329560i | −0.986330 | − | 0.164780i | \(-0.947309\pi\) | ||
0.986330 | − | 0.164780i | \(-0.0526914\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 18.1024 | + | 10.4514i | 1.28324 | + | 0.740882i | 0.977440 | − | 0.211212i | \(-0.0677412\pi\) |
0.305805 | + | 0.952094i | \(0.401075\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.39422 | − | 7.73081i | −0.380479 | − | 0.545289i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −8.11712 | + | 11.5152i | −0.569710 | + | 0.808211i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.0792099 | + | 0.137196i | −0.00553226 | + | 0.00958215i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.35641 | − | 7.84361i | −0.0942770 | − | 0.545169i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −12.4468 | − | 21.5585i | −0.860965 | − | 1.49123i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.34310 | − | 5.79042i | 0.230148 | − | 0.398629i | −0.727703 | − | 0.685892i | \(-0.759412\pi\) |
0.957852 | + | 0.287263i | \(0.0927455\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.539150 | − | 6.28168i | −0.0369420 | − | 0.430414i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.20829 | + | 7.28898i | 0.287003 | + | 0.497104i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −9.39995 | + | 13.3351i | −0.638110 | + | 0.905246i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.90260 | − | 1.82765i | −0.263714 | − | 0.123501i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −14.8697 | + | 8.58505i | −1.00025 | + | 0.577493i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.08622 | − | 4.09123i | 0.474528 | − | 0.273969i | −0.243605 | − | 0.969875i | \(-0.578330\pi\) |
0.718133 | + | 0.695905i | \(0.244997\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −12.0145 | + | 2.07770i | −0.800968 | + | 0.138513i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 10.6938 | 0.709769 | 0.354885 | − | 0.934910i | \(-0.384520\pi\) | ||||
0.354885 | + | 0.934910i | \(0.384520\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 29.2072i | − | 1.93007i | −0.262125 | − | 0.965034i | \(-0.584423\pi\) | ||
0.262125 | − | 0.965034i | \(-0.415577\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −12.6646 | − | 22.1805i | −0.833272 | − | 1.45937i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.57664 | + | 3.21967i | −0.365338 | + | 0.210928i | −0.671420 | − | 0.741077i | \(-0.734315\pi\) |
0.306082 | + | 0.952005i | \(0.400982\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.58996 | − | 7.95004i | 0.299416 | − | 0.518603i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 3.38085 | − | 7.21918i | 0.219610 | − | 0.468936i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 4.01452 | + | 2.31778i | 0.259678 | + | 0.149925i | 0.624187 | − | 0.781275i | \(-0.285430\pi\) |
−0.364510 | + | 0.931200i | \(0.618763\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.4944i | 0.676007i | 0.941145 | + | 0.338003i | \(0.109752\pi\) | ||||
−0.941145 | + | 0.338003i | \(0.890248\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 14.1817 | − | 6.47138i | 0.909758 | − | 0.415139i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.38501 | − | 5.15963i | 0.280148 | − | 0.329636i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −19.4375 | −1.23678 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −8.34486 | − | 11.9596i | −0.528834 | − | 0.757908i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 7.85271 | 0.495659 | 0.247829 | − | 0.968804i | \(-0.420283\pi\) | ||||
0.247829 | + | 0.968804i | \(0.420283\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 14.7887 | 0.929758 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.80348 | + | 5.98631i | −0.175560 | + | 0.374877i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.43136 | −0.214042 | −0.107021 | − | 0.994257i | \(-0.534131\pi\) | ||||
−0.107021 | + | 0.994257i | \(0.534131\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.05360 | − | 0.742687i | −0.0654677 | − | 0.0461483i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.2713 | − | 10.2281i | 0.759574 | − | 0.633105i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | − | 3.66132i | − | 0.225767i | −0.993608 | − | 0.112883i | \(-0.963991\pi\) | ||
0.993608 | − | 0.112883i | \(-0.0360087\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.68817 | + | 0.974668i | 0.103704 | + | 0.0598734i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.07969 | + | 5.84687i | 0.249673 | + | 0.357823i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.34303 | − | 10.9865i | 0.386741 | − | 0.669856i | −0.605268 | − | 0.796022i | \(-0.706934\pi\) |
0.992009 | + | 0.126166i | \(0.0402673\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 17.2136 | − | 9.93828i | 1.04565 | − | 0.603708i | 0.124223 | − | 0.992254i | \(-0.460356\pi\) |
0.921429 | + | 0.388547i | \(0.127023\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −19.9431 | − | 0.0955416i | −1.20701 | − | 0.00578244i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | − | 22.6527i | − | 1.36601i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.46605 | −0.448591 | −0.224296 | − | 0.974521i | \(-0.572008\pi\) | ||||
−0.224296 | + | 0.974521i | \(0.572008\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 14.2106 | − | 11.8446i | 0.850769 | − | 0.709117i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −19.2746 | + | 11.1282i | −1.14983 | + | 0.663854i | −0.948845 | − | 0.315741i | \(-0.897747\pi\) |
−0.200983 | + | 0.979595i | \(0.564414\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.0125 | + | 8.09012i | −0.832957 | + | 0.480908i | −0.854864 | − | 0.518852i | \(-0.826359\pi\) |
0.0219073 | + | 0.999760i | \(0.493026\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −6.13690 | + | 4.28205i | −0.363518 | + | 0.253647i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0.0391210 | − | 0.431528i | 0.00230924 | − | 0.0254723i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.717124 | + | 1.24210i | 0.0421838 | + | 0.0730644i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −16.8397 | + | 11.7500i | −0.987164 | + | 0.688799i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.43406 | − | 7.68002i | 0.259041 | − | 0.448672i | −0.706944 | − | 0.707269i | \(-0.749927\pi\) |
0.965985 | + | 0.258597i | \(0.0832603\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.809584 | − | 1.40224i | −0.0471358 | − | 0.0816416i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 7.35741 | + | 28.0112i | 0.426920 | + | 1.62538i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 5.77366 | − | 10.0003i | 0.333899 | − | 0.578331i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −18.8156 | − | 13.2632i | −1.08451 | − | 0.764476i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 9.17430 | − | 0.787421i | 0.527050 | − | 0.0452362i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −4.33290 | − | 2.50160i | −0.248101 | − | 0.143241i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 27.1427i | − | 1.54912i | −0.632501 | − | 0.774559i | \(-0.717972\pi\) | ||
0.632501 | − | 0.774559i | \(-0.282028\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.32482 | + | 15.4356i | 0.0753664 | + | 0.878099i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.44774 | − | 14.6319i | −0.479028 | − | 0.829700i | 0.520683 | − | 0.853750i | \(-0.325677\pi\) |
−0.999711 | + | 0.0240499i | \(0.992344\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.70433 | + | 2.13870i | 0.209381 | + | 0.120886i | 0.601024 | − | 0.799231i | \(-0.294760\pi\) |
−0.391643 | + | 0.920117i | \(0.628093\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −6.31759 | + | 4.36328i | −0.355956 | + | 0.245843i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.74123 | − | 3.31470i | −0.322460 | − | 0.186172i | 0.330029 | − | 0.943971i | \(-0.392942\pi\) |
−0.652488 | + | 0.757799i | \(0.726275\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 14.8397 | + | 25.7031i | 0.830864 | + | 1.43910i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 27.2105 | − | 18.9862i | 1.51874 | − | 1.05971i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 17.6212i | − | 0.980472i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.3180 | − | 8.84386i | −0.849691 | − | 0.490569i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −14.1358 | + | 30.1844i | −0.781712 | + | 1.66920i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.26694 | + | 25.0057i | −0.124980 | + | 1.37861i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.378896 | + | 0.656267i | −0.0208260 | + | 0.0360717i | −0.876251 | − | 0.481856i | \(-0.839963\pi\) |
0.855425 | + | 0.517927i | \(0.173296\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.935837 | + | 1.12278i | 0.0512836 | + | 0.0615279i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.63234 | − | 4.55935i | −0.143820 | − | 0.249104i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.01088 | − | 1.75089i | 0.0550660 | − | 0.0953772i | −0.837178 | − | 0.546930i | \(-0.815796\pi\) |
0.892244 | + | 0.451553i | \(0.149130\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 13.2436 | + | 6.20219i | 0.719295 | + | 0.336857i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 17.1850 | + | 29.7652i | 0.930618 | + | 1.61188i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.96188 | + | 17.8432i | −0.267916 | + | 0.963442i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.380160 | − | 4.42927i | −0.0204671 | − | 0.238464i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −18.1572 | + | 10.4831i | −0.974730 | + | 0.562761i | −0.900675 | − | 0.434494i | \(-0.856927\pi\) |
−0.0740550 | + | 0.997254i | \(0.523594\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.36406 | − | 3.09694i | 0.287132 | − | 0.165776i | −0.349516 | − | 0.936930i | \(-0.613654\pi\) |
0.636648 | + | 0.771155i | \(0.280321\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 21.8139 | + | 5.96071i | 1.16434 | + | 0.318159i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.8378 | 1.00263 | 0.501317 | − | 0.865264i | \(-0.332849\pi\) | ||||
0.501317 | + | 0.865264i | \(0.332849\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 3.52112i | − | 0.186882i | ||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.0866143 | − | 18.0796i | 0.00458411 | − | 0.956876i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −24.0735 | + | 13.8988i | −1.27055 | + | 0.733553i | −0.975092 | − | 0.221803i | \(-0.928806\pi\) |
−0.295459 | + | 0.955355i | \(0.595473\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.474089 | − | 0.821146i | 0.0249520 | − | 0.0432182i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −34.6266 | + | 2.97196i | −1.81742 | + | 0.155988i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −2.08428 | − | 1.20336i | −0.109096 | − | 0.0629866i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 21.7534i | 1.13552i | 0.823195 | + | 0.567759i | \(0.192190\pi\) | ||||
−0.823195 | + | 0.567759i | \(0.807810\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.169559 | + | 0.461128i | −0.00882690 | + | 0.0240053i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −5.30990 | − | 0.481379i | −0.275676 | − | 0.0249920i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.7312 | 0.607419 | 0.303709 | − | 0.952765i | \(-0.401775\pi\) | ||||
0.303709 | + | 0.952765i | \(0.401775\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −15.1312 | + | 1.29869i | −0.781370 | + | 0.0670642i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 23.1743 | 1.19354 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −34.8881 | −1.79208 | −0.896041 | − | 0.443971i | \(-0.853569\pi\) | ||||
−0.896041 | + | 0.443971i | \(0.853569\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −5.72732 | + | 0.491570i | −0.293420 | + | 0.0251839i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −11.8482 | −0.605416 | −0.302708 | − | 0.953083i | \(-0.597891\pi\) | ||||
−0.302708 | + | 0.953083i | \(0.597891\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.98779 | − | 12.9470i | −0.305166 | − | 0.659838i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 16.7125 | + | 20.0510i | 0.849545 | + | 1.01925i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6.35344i | 0.322132i | 0.986944 | + | 0.161066i | \(0.0514933\pi\) | ||||
−0.986944 | + | 0.161066i | \(0.948507\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.06586 | + | 5.23418i | 0.458480 | + | 0.264704i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 32.3513 | − | 2.77668i | 1.63191 | − | 0.140065i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 2.22601 | − | 3.85557i | 0.112003 | − | 0.193995i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −7.42647 | + | 4.28768i | −0.372724 | + | 0.215192i | −0.674648 | − | 0.738140i | \(-0.735704\pi\) |
0.301924 | + | 0.953332i | \(0.402371\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 10.3185 | − | 17.6760i | 0.516569 | − | 0.884907i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 23.1190i | − | 1.15451i | −0.816565 | − | 0.577254i | \(-0.804124\pi\) | ||
0.816565 | − | 0.577254i | \(-0.195876\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 26.8367 | 1.33683 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 8.20033 | − | 2.92363i | 0.407478 | − | 0.145276i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.35174 | + | 1.35778i | −0.116572 | + | 0.0673026i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.35091 | + | 0.779947i | −0.0667981 | + | 0.0385659i | −0.533027 | − | 0.846098i | \(-0.678946\pi\) |
0.466229 | + | 0.884664i | \(0.345612\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −2.50824 | − | 29.2237i | −0.123722 | − | 1.44150i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.61971 | + | 2.55154i | 0.178114 | + | 0.125553i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.07224 | − | 7.05332i | −0.199898 | − | 0.346234i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −19.0237 | − | 8.90909i | −0.931596 | − | 0.436280i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.40822 | − | 5.90321i | 0.166502 | − | 0.288391i | −0.770685 | − | 0.637216i | \(-0.780086\pi\) |
0.937188 | + | 0.348825i | \(0.113419\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.75727 | − | 11.7039i | −0.329329 | − | 0.570415i | 0.653050 | − | 0.757315i | \(-0.273489\pi\) |
−0.982379 | + | 0.186900i | \(0.940156\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 9.82541 | − | 26.7208i | 0.477728 | − | 1.29921i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 8.01750 | − | 13.8867i | 0.388906 | − | 0.673605i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 13.6285 | + | 1.23552i | 0.659529 | + | 0.0597910i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −17.8182 | + | 38.0476i | −0.860272 | + | 1.83695i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.2628 | + | 7.07990i | 0.590676 | + | 0.341027i | 0.765365 | − | 0.643597i | \(-0.222559\pi\) |
−0.174689 | + | 0.984624i | \(0.555892\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 23.4830i | − | 1.12852i | −0.825597 | − | 0.564260i | \(-0.809161\pi\) | ||
0.825597 | − | 0.564260i | \(-0.190839\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 7.31670 | − | 5.10527i | 0.350809 | − | 0.244779i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 5.92536 | + | 10.2630i | 0.283449 | + | 0.490947i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.66398 | − | 2.11540i | −0.174872 | − | 0.100963i | 0.410009 | − | 0.912081i | \(-0.365526\pi\) |
−0.584881 | + | 0.811119i | \(0.698859\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 10.6738 | − | 18.0851i | 0.508275 | − | 0.861195i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 25.8161 | + | 14.9049i | 1.22656 | + | 0.708154i | 0.966308 | − | 0.257388i | \(-0.0828618\pi\) |
0.260250 | + | 0.965541i | \(0.416195\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 1.99086 | + | 3.44827i | 0.0943757 | + | 0.163464i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.29461 | − | 15.0836i | −0.0612328 | − | 0.713428i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 8.41716i | 0.397230i | 0.980078 | + | 0.198615i | \(0.0636444\pi\) | ||||
−0.980078 | + | 0.198615i | \(0.936356\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.790505 | − | 0.456399i | −0.0372234 | − | 0.0214910i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −38.1280 | + | 3.27249i | −1.79141 | + | 0.153755i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −11.0926 | − | 1.00562i | −0.520027 | − | 0.0471441i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.94109 | − | 3.36207i | 0.0908006 | − | 0.157271i | −0.817048 | − | 0.576570i | \(-0.804391\pi\) |
0.907848 | + | 0.419299i | \(0.137724\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −5.40374 | + | 19.7756i | −0.252225 | + | 0.923047i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 17.0423 | + | 29.5181i | 0.793739 | + | 1.37480i | 0.923637 | + | 0.383269i | \(0.125202\pi\) |
−0.129898 | + | 0.991527i | \(0.541465\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.10962 | − | 10.5822i | 0.283938 | − | 0.491796i | −0.688413 | − | 0.725319i | \(-0.741692\pi\) |
0.972351 | + | 0.233523i | \(0.0750256\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 8.47304 | − | 5.91211i | 0.392928 | − | 0.274167i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 15.4057 | + | 26.6835i | 0.712893 | + | 1.23477i | 0.963767 | + | 0.266747i | \(0.0859488\pi\) |
−0.250874 | + | 0.968020i | \(0.580718\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 11.7694 | + | 8.29628i | 0.543460 | + | 0.383087i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 2.02353 | − | 1.41193i | 0.0932395 | − | 0.0650583i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −41.9983 | + | 24.2477i | −1.93108 | + | 1.11491i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.7205 | − | 9.07623i | 0.721306 | − | 0.416446i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.67412 | + | 2.08640i | 0.259800 | + | 0.0955299i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 41.7493 | 1.90758 | 0.953788 | − | 0.300481i | \(-0.0971472\pi\) | ||||
0.953788 | + | 0.300481i | \(0.0971472\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.12036i | 0.0966803i | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.02906 | + | 10.5591i | 0.274332 | + | 0.480457i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −9.93146 | + | 5.73393i | −0.450964 | + | 0.260364i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.5832 | + | 18.3306i | −0.479568 | + | 0.830637i | −0.999725 | − | 0.0234338i | \(-0.992540\pi\) |
0.520157 | + | 0.854071i | \(0.325873\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 7.37690 | + | 10.5723i | 0.333595 | + | 0.478097i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −32.3428 | − | 18.6731i | −1.45961 | − | 0.842707i | −0.460619 | − | 0.887598i | \(-0.652372\pi\) |
−0.998992 | + | 0.0448915i | \(0.985706\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 21.0089i | 0.946193i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 2.75617 | + | 15.9379i | 0.123881 | + | 0.716356i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 4.04266 | + | 8.74113i | 0.181338 | + | 0.392093i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −27.4197 | −1.22748 | −0.613738 | − | 0.789510i | \(-0.710335\pi\) | ||||
−0.613738 | + | 0.789510i | \(0.710335\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.77265 | + | 10.1911i | −0.213226 | + | 0.455305i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.2791 | −0.502909 | −0.251454 | − | 0.967869i | \(-0.580909\pi\) | ||||
−0.251454 | + | 0.967869i | \(0.580909\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.14255 | 0.228840 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 5.88710 | + | 8.43720i | 0.261455 | + | 0.374709i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 18.6333 | 0.825909 | 0.412954 | − | 0.910752i | \(-0.364497\pi\) | ||||
0.412954 | + | 0.910752i | \(0.364497\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.55578 | + | 0.594327i | 0.290010 | + | 0.0262915i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −16.4913 | + | 16.3291i | −0.728107 | + | 0.720946i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 8.65223i | 0.381263i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 45.8072 | + | 26.4468i | 2.01460 | + | 1.16313i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 8.68184 | − | 18.5385i | 0.381091 | − | 0.813749i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 7.64255 | − | 13.2373i | 0.334826 | − | 0.579936i | −0.648625 | − | 0.761108i | \(-0.724656\pi\) |
0.983451 | + | 0.181172i | \(0.0579891\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 31.5991 | − | 18.2437i | 1.38173 | − | 0.797743i | 0.389368 | − | 0.921082i | \(-0.372694\pi\) |
0.992365 | + | 0.123339i | \(0.0393602\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 16.1741 | − | 9.23507i | 0.705894 | − | 0.403051i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 24.3292i | 1.05979i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 15.9598 | 0.693903 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.21512 | − | 3.85737i | −0.139524 | − | 0.167396i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.617243 | + | 0.356365i | −0.0267358 | + | 0.0154359i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 16.0477 | − | 9.26516i | 0.693803 | − | 0.400568i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −3.81740 | − | 1.78775i | −0.164733 | − | 0.0771470i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 29.7292 | + | 25.2659i | 1.28053 | + | 1.08828i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.63647 | + | 4.56649i | 0.113351 | + | 0.196329i | 0.917119 | − | 0.398613i | \(-0.130508\pi\) |
−0.803769 | + | 0.594942i | \(0.797175\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.70839 | − | 19.9046i | −0.0733140 | − | 0.854186i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −9.30729 | + | 16.1207i | −0.398680 | + | 0.690535i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.29831 | + | 16.1051i | 0.397567 | + | 0.688606i | 0.993425 | − | 0.114484i | \(-0.0365213\pi\) |
−0.595858 | + | 0.803090i | \(0.703188\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −14.5633 | − | 5.35501i | −0.621547 | − | 0.228546i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.8916 | + | 20.5968i | −0.506599 | + | 0.877455i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.09941 | + | 12.1271i | −0.0467516 | + | 0.515697i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.467114 | + | 0.669452i | 0.0198279 | + | 0.0284167i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −23.8694 | − | 13.7810i | −1.01138 | − | 0.583920i | −0.0997845 | − | 0.995009i | \(-0.531815\pi\) |
−0.911595 | + | 0.411089i | \(0.865149\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 37.8662i | 1.60157i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −34.4924 | − | 16.1533i | −1.45627 | − | 0.681993i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 9.42577 | + | 16.3259i | 0.397249 | + | 0.688055i | 0.993385 | − | 0.114828i | \(-0.0366317\pi\) |
−0.596137 | + | 0.802883i | \(0.703298\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.07306 | + | 4.08364i | 0.297566 | + | 0.171800i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −17.0005 | + | 16.6728i | −0.713955 | + | 0.700191i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 3.87103 | + | 2.23494i | 0.162282 | + | 0.0936936i | 0.578942 | − | 0.815369i | \(-0.303466\pi\) |
−0.416659 | + | 0.909063i | \(0.636799\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.31245 | + | 16.1296i | 0.389714 | + | 0.675004i | 0.992411 | − | 0.122966i | \(-0.0392405\pi\) |
−0.602697 | + | 0.797970i | \(0.705907\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −34.6165 | − | 16.2114i | −1.44612 | − | 0.677241i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.7839i | 0.449721i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 31.9418 | + | 18.4416i | 1.32976 | + | 0.767735i | 0.985262 | − | 0.171053i | \(-0.0547170\pi\) |
0.344495 | + | 0.938788i | \(0.388050\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 19.7626 | + | 28.3231i | 0.821306 | + | 1.17707i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 18.2073 | + | 12.8344i | 0.755366 | + | 0.532459i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.61593 | + | 9.72707i | −0.232588 | + | 0.402854i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 11.8534 | + | 4.35857i | 0.490078 | + | 0.180205i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 13.2295 | + | 22.9141i | 0.546039 | + | 0.945766i | 0.998541 | + | 0.0540032i | \(0.0171981\pi\) |
−0.452502 | + | 0.891763i | \(0.649469\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −13.7709 | + | 23.8520i | −0.567422 | + | 0.982803i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.685123 | − | 7.98242i | −0.0281822 | − | 0.328353i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 17.3351 | + | 30.0254i | 0.711869 | + | 1.23299i | 0.964155 | + | 0.265341i | \(0.0854845\pi\) |
−0.252285 | + | 0.967653i | \(0.581182\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.911654 | − | 10.0561i | 0.0373742 | − | 0.412259i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 32.7874 | + | 15.3548i | 1.34190 | + | 0.628432i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −21.2079 | + | 12.2444i | −0.866530 | + | 0.500291i | −0.866193 | − | 0.499709i | \(-0.833440\pi\) |
−0.000336253 | 1.00000i | \(0.500107\pi\) | ||||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.3812 | − | 11.1898i | 0.790577 | − | 0.456440i | −0.0495885 | − | 0.998770i | \(-0.515791\pi\) |
0.840166 | + | 0.542330i | \(0.182458\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −10.4539 | − | 12.5421i | −0.425715 | − | 0.510755i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −19.4095 | −0.789109 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 32.5834i | − | 1.32252i | −0.750158 | − | 0.661259i | \(-0.770022\pi\) | ||
0.750158 | − | 0.661259i | \(-0.229978\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −12.3022 | + | 21.0742i | −0.498509 | + | 0.853969i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 35.7672 | − | 20.6502i | 1.44699 | − | 0.835418i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.86931 | − | 10.1659i | 0.237059 | − | 0.410598i | −0.722810 | − | 0.691047i | \(-0.757150\pi\) |
0.959869 | + | 0.280449i | \(0.0904832\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.116372 | + | 0.248491i | −0.00469258 | + | 0.0100201i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −38.1947 | − | 22.0517i | −1.53766 | − | 0.887770i | −0.998975 | − | 0.0452639i | \(-0.985587\pi\) |
−0.538687 | − | 0.842506i | \(-0.681080\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.94644i | 0.198814i | 0.995047 | + | 0.0994070i | \(0.0316946\pi\) | ||||
−0.995047 | + | 0.0994070i | \(0.968305\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.50253 | − | 13.3349i | −0.140552 | − | 0.535109i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −8.90128 | − | 6.27454i | −0.356622 | − | 0.251384i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.8398 | 0.473593 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −24.6727 | − | 35.3601i | −0.985333 | − | 1.41215i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.92224 | −0.0766447 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.08478 | 0.361659 | 0.180830 | − | 0.983514i | \(-0.442122\pi\) | ||||
0.180830 | + | 0.983514i | \(0.442122\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 4.91155 | − | 10.4877i | 0.195217 | − | 0.416850i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.21038 | −0.127400 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 28.6917 | − | 10.2391i | 1.13681 | − | 0.405688i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.86083 | − | 10.7605i | −0.0736133 | − | 0.425678i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 14.0821i | 0.556209i | 0.960551 | + | 0.278105i | \(0.0897062\pi\) | ||||
−0.960551 | + | 0.278105i | \(0.910294\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.33157 | + | 4.23288i | 0.289129 | + | 0.166929i | 0.637549 | − | 0.770410i | \(-0.279948\pi\) |
−0.348420 | + | 0.937339i | \(0.613282\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.34189 | + | 11.9553i | 0.328461 | + | 0.470740i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −12.1662 | + | 21.0725i | −0.478304 | + | 0.828446i | −0.999691 | − | 0.0248742i | \(-0.992081\pi\) |
0.521387 | + | 0.853320i | \(0.325415\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.07955 | − | 4.66473i | 0.317150 | − | 0.183107i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −14.2464 | + | 24.4047i | −0.558361 | + | 0.956498i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | − | 41.6446i | − | 1.62968i | −0.579686 | − | 0.814840i | \(-0.696825\pi\) | ||
0.579686 | − | 0.814840i | \(-0.303175\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.1341 | 0.708560 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.00545 | − | 2.57594i | −0.273309 | − | 0.100497i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 9.09866 | − | 5.25312i | 0.354434 | − | 0.204632i | −0.312203 | − | 0.950016i | \(-0.601067\pi\) |
0.666636 | + | 0.745383i | \(0.267733\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.8988 | + | 9.75655i | −0.657289 | + | 0.379486i | −0.791243 | − | 0.611502i | \(-0.790566\pi\) |
0.133954 | + | 0.990987i | \(0.457232\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −24.3892 | + | 17.0177i | −0.947199 | + | 0.660914i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 6.58578 | − | 9.34282i | 0.255386 | − | 0.362299i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.06450 | − | 12.2361i | −0.273539 | − | 0.473783i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 11.6228 | − | 8.10984i | 0.449362 | − | 0.313545i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 14.4140 | − | 24.9657i | 0.556445 | − | 0.963790i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −3.10277 | − | 5.37415i | −0.119603 | − | 0.207158i | 0.800007 | − | 0.599990i | \(-0.204829\pi\) |
−0.919610 | + | 0.392832i | \(0.871495\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −20.4258 | + | 5.36503i | −0.786189 | + | 0.206500i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 12.3765 | − | 21.4368i | 0.475669 | − | 0.823883i | −0.523942 | − | 0.851754i | \(-0.675539\pi\) |
0.999612 | + | 0.0278703i | \(0.00887255\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 18.0715 | − | 25.6369i | 0.693520 | − | 0.983852i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 18.4543 | − | 1.58391i | 0.707169 | − | 0.0606956i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −18.3119 | − | 10.5724i | −0.700687 | − | 0.404542i | 0.106916 | − | 0.994268i | \(-0.465902\pi\) |
−0.807603 | + | 0.589726i | \(0.799236\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 16.3810i | − | 0.625886i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −4.32605 | − | 50.4031i | −0.165049 | − | 1.92300i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 4.38503 | + | 7.59509i | 0.167056 | + | 0.289350i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.58127 | − | 3.22235i | −0.212322 | − | 0.122584i | 0.390068 | − | 0.920786i | \(-0.372451\pi\) |
−0.602390 | + | 0.798202i | \(0.705785\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −25.1407 | − | 36.4012i | −0.955017 | − | 1.38277i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −10.1601 | − | 5.86591i | −0.385393 | − | 0.222507i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.323067 | − | 0.559568i | −0.0122370 | − | 0.0211952i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −9.14675 | + | 6.38220i | −0.345962 | + | 0.241397i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 24.5717i | − | 0.928061i | −0.885819 | − | 0.464031i | \(-0.846403\pi\) | ||
0.885819 | − | 0.464031i | \(-0.153597\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.88454 | − | 1.08804i | −0.0710767 | − | 0.0410361i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.74339 | − | 14.3993i | 0.253971 | − | 0.542308i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −12.7663 | + | 5.90424i | −0.480126 | + | 0.222052i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.1370 | + | 38.3424i | −0.831373 | + | 1.43998i | 0.0655765 | + | 0.997848i | \(0.479111\pi\) |
−0.896950 | + | 0.442133i | \(0.854222\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.76508 | − | 12.9589i | 0.178704 | − | 0.485998i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −8.18098 | − | 14.1699i | −0.306380 | − | 0.530666i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.7319 | + | 20.3202i | −0.438747 | + | 0.759931i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 7.27118 | + | 3.40520i | 0.271547 | + | 0.127169i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.22433 | + | 3.85266i | 0.0829537 | + | 0.143680i | 0.904517 | − | 0.426437i | \(-0.140231\pi\) |
−0.821564 | + | 0.570117i | \(0.806898\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −9.93376 | − | 21.4790i | −0.369952 | − | 0.799921i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1.55439 | + | 18.1103i | 0.0578084 | + | 0.673530i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −18.7427 | + | 10.8211i | −0.696088 | + | 0.401886i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.4270 | − | 17.5670i | 1.12848 | − | 0.651525i | 0.184924 | − | 0.982753i | \(-0.440796\pi\) |
0.943551 | + | 0.331227i | \(0.107463\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.5150 | − | 13.2682i | 0.870925 | − | 0.491416i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −34.3280 | −1.26967 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.81725i | 0.214865i | 0.994212 | + | 0.107433i | \(0.0342630\pi\) | ||||
−0.994212 | + | 0.107433i | \(0.965737\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 6.80302 | − | 9.55349i | 0.250933 | − | 0.352386i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 26.2704 | − | 15.1672i | 0.967684 | − | 0.558693i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.51675 | − | 9.55529i | 0.202937 | − | 0.351497i | −0.746537 | − | 0.665344i | \(-0.768285\pi\) |
0.949473 | + | 0.313847i | \(0.101618\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −33.5433 | + | 2.87899i | −1.23225 | + | 0.105762i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.543196 | + | 0.313615i | 0.0199279 | + | 0.0115054i | 0.509931 | − | 0.860215i | \(-0.329671\pi\) |
−0.490003 | + | 0.871721i | \(0.663004\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 8.45491i | − | 0.309764i | ||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −16.1722 | − | 19.4027i | −0.591709 | − | 0.709909i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −29.2008 | + | 41.4253i | −1.06697 | + | 1.51365i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.47058 | −0.163134 | −0.0815668 | − | 0.996668i | \(-0.525992\pi\) | ||||
−0.0815668 | + | 0.996668i | \(0.525992\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 13.5515 | − | 1.16311i | 0.493843 | − | 0.0423861i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −21.3722 | −0.777813 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.75624 | 0.209214 | 0.104607 | − | 0.994514i | \(-0.466642\pi\) | ||||
0.104607 | + | 0.994514i | \(0.466642\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 25.5210 | − | 2.19044i | 0.926352 | − | 0.0795079i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20.9940 | −0.761032 | −0.380516 | − | 0.924774i | \(-0.624254\pi\) | ||||
−0.380516 | + | 0.924774i | \(0.624254\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.59678 | − | 50.7052i | 0.166415 | − | 1.83565i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.95131 | + | 10.7458i | −0.142860 | + | 0.388517i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | − | 7.28463i | − | 0.263033i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −34.1729 | − | 19.7298i | −1.23231 | − | 0.711473i | −0.264797 | − | 0.964304i | \(-0.585305\pi\) |
−0.967511 | + | 0.252831i | \(0.918638\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.92151 | + | 0.508238i | −0.213258 | + | 0.0183037i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −17.3164 | + | 29.9929i | −0.622829 | + | 1.07877i | 0.366128 | + | 0.930565i | \(0.380683\pi\) |
−0.988956 | + | 0.148206i | \(0.952650\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −21.7048 | + | 12.5313i | −0.779661 | + | 0.450137i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.92821 | − | 1.12560i | −0.0691742 | − | 0.0403808i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − | 0.731457i | − | 0.0262072i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 20.2883 | 0.725973 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 19.6617 | − | 19.4683i | 0.702651 | − | 0.695741i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.19340 | − | 0.689012i | 0.0425944 | − | 0.0245919i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −30.5793 | + | 17.6550i | −1.09003 | + | 0.629332i | −0.933586 | − | 0.358355i | \(-0.883338\pi\) |
−0.156449 | + | 0.987686i | \(0.550005\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.542299 | − | 6.31837i | −0.0193064 | − | 0.224940i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −22.2473 | − | 2.01687i | −0.791022 | − | 0.0717116i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.2547 | − | 19.4937i | −0.399667 | − | 0.692243i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.05766 | + | 1.43194i | 0.108444 | + | 0.0507859i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −9.60992 | + | 16.6449i | −0.340401 | + | 0.589591i | −0.984507 | − | 0.175344i | \(-0.943896\pi\) |
0.644106 | + | 0.764936i | \(0.277229\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 18.7207 | + | 32.4252i | 0.662290 | + | 1.14712i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.90635 | + | 9.48571i | 0.279357 | + | 0.335161i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 6.93361 | − | 12.0094i | 0.244682 | − | 0.423801i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.85051 | + | 6.16345i | 0.100467 | + | 0.217233i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.31894 | − | 19.8989i | 0.328042 | − | 0.700474i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 34.0157 | + | 19.6390i | 1.19593 | + | 0.690469i | 0.959645 | − | 0.281215i | \(-0.0907374\pi\) |
0.236283 | + | 0.971684i | \(0.424071\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 9.68436i | − | 0.340064i | −0.985439 | − | 0.170032i | \(-0.945613\pi\) | ||
0.985439 | − | 0.170032i | \(-0.0543871\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 28.2336 | − | 19.7002i | 0.990196 | − | 0.690915i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 3.59987 | + | 6.23517i | 0.126098 | + | 0.218408i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −33.6547 | − | 19.4306i | −1.17743 | − | 0.679790i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −34.4301 | + | 2.78901i | −1.20308 | + | 0.0974558i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 10.9919 | + | 6.34620i | 0.383621 | + | 0.221484i | 0.679393 | − | 0.733775i | \(-0.262243\pi\) |
−0.295771 | + | 0.955259i | \(0.595577\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.73837 | + | 15.1353i | 0.304600 | + | 0.527583i | 0.977172 | − | 0.212448i | \(-0.0681438\pi\) |
−0.672572 | + | 0.740032i | \(0.734810\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.35523 | − | 39.0920i | −0.116814 | − | 1.36101i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 46.9482i | 1.63255i | 0.577665 | + | 0.816274i | \(0.303964\pi\) | ||||
−0.577665 | + | 0.816274i | \(0.696036\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.99797 | − | 1.15353i | −0.0693924 | − | 0.0400637i | 0.464902 | − | 0.885362i | \(-0.346089\pi\) |
−0.534295 | + | 0.845298i | \(0.679423\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −12.8842 | + | 1.10584i | −0.446948 | + | 0.0383611i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 9.28237 | + | 26.0108i | 0.321615 | + | 0.901219i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.14240 | + | 5.44280i | −0.108747 | + | 0.188356i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 22.7690 | − | 22.5451i | 0.787013 | − | 0.779272i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 8.51664 | + | 14.7513i | 0.294027 | + | 0.509270i | 0.974758 | − | 0.223264i | \(-0.0716711\pi\) |
−0.680731 | + | 0.732533i | \(0.738338\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.322276 | + | 0.558199i | −0.0111130 | + | 0.0192482i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −31.6141 | + | 22.0589i | −1.08885 | + | 0.759749i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 2.87287 | + | 4.97595i | 0.0988296 | + | 0.171178i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 48.1838 | − | 22.2844i | 1.65562 | − | 0.765700i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −22.9832 | + | 16.0366i | −0.788781 | + | 0.550376i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.11956 | − | 0.646377i | 0.0383779 | − | 0.0221575i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.87158 | + | 1.65791i | −0.0983209 | + | 0.0567656i | −0.548354 | − | 0.836246i | \(-0.684745\pi\) |
0.450033 | + | 0.893012i | \(0.351412\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −9.95624 | + | 8.29854i | −0.340496 | + | 0.283804i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −9.49024 | −0.324180 | −0.162090 | − | 0.986776i | \(-0.551824\pi\) | ||||
−0.162090 | + | 0.986776i | \(0.551824\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 29.4569i | − | 1.00506i | −0.864561 | − | 0.502528i | \(-0.832403\pi\) | ||
0.864561 | − | 0.502528i | \(-0.167597\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.00359536 | − | 0.750485i | 0.000122529 | − | 0.0255765i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 13.4610 | − | 7.77172i | 0.458218 | − | 0.264553i | −0.253076 | − | 0.967446i | \(-0.581442\pi\) |
0.711295 | + | 0.702894i | \(0.248109\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.71629 | − | 9.90090i | 0.194360 | − | 0.336641i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 1.42152 | + | 2.03727i | 0.0482773 | + | 0.0691895i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 22.2154 | + | 12.8260i | 0.753604 | + | 0.435094i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 23.6858i | − | 0.802562i | ||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −27.3201 | + | 22.7713i | −0.924645 | + | 0.770692i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 21.0554 | − | 9.73785i | 0.711804 | − | 0.329199i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −45.4497 | −1.53473 | −0.767364 | − | 0.641212i | \(-0.778432\pi\) | ||||
−0.767364 | + | 0.641212i | \(0.778432\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 6.51436 | − | 13.9102i | 0.219724 | − | 0.469180i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −15.6912 | −0.528651 | −0.264326 | − | 0.964433i | \(-0.585149\pi\) | ||||
−0.264326 | + | 0.964433i | \(0.585149\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 10.5344 | 0.354510 | 0.177255 | − | 0.984165i | \(-0.443278\pi\) | ||||
0.177255 | + | 0.984165i | \(0.443278\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −1.60480 | − | 2.29994i | −0.0539447 | − | 0.0773117i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −0.0605481 | −0.00203301 | −0.00101650 | − | 0.999999i | \(-0.500324\pi\) | ||||
−0.00101650 | + | 0.999999i | \(0.500324\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.96973 | − | 3.68589i | 0.267296 | − | 0.123621i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 16.8456 | + | 47.2494i | 0.564350 | + | 1.58291i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 42.3856i | 1.41838i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.03877 | − | 1.17709i | −0.0681487 | − | 0.0393456i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.48245 | − | 18.1127i | 0.283221 | − | 0.604766i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 16.4184 | − | 28.4375i | 0.547583 | − | 0.948442i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −6.88542 | + | 3.97530i | −0.229386 | + | 0.132436i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −34.4347 | − | 20.1014i | −1.14592 | − | 0.668934i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | − | 11.1573i | − | 0.370880i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −24.0980 | −0.800162 | −0.400081 | − | 0.916480i | \(-0.631018\pi\) | ||||
−0.400081 | + | 0.916480i | \(0.631018\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 15.7155 | − | 2.71772i | 0.521251 | − | 0.0901410i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −22.0494 | + | 12.7302i | −0.730528 | + | 0.421771i | −0.818615 | − | 0.574342i | \(-0.805258\pi\) |
0.0880873 | + | 0.996113i | \(0.471925\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 40.6404 | − | 23.4638i | 1.34500 | − | 0.776537i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −7.84785 | − | 3.67526i | −0.259442 | − | 0.121500i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −45.0177 | + | 20.8201i | −1.48662 | + | 0.687540i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −11.4534 | − | 19.8378i | −0.377812 | − | 0.654389i | 0.612932 | − | 0.790136i | \(-0.289990\pi\) |
−0.990744 | + | 0.135747i | \(0.956657\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −4.02027 | − | 46.8404i | −0.132472 | − | 1.54344i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 7.92076 | − | 13.7192i | 0.260715 | − | 0.451572i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.990094 | − | 1.71489i | −0.0325541 | − | 0.0563853i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 4.57250 | + | 26.4410i | 0.150181 | + | 0.868437i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 14.3986 | − | 24.9392i | 0.472404 | − | 0.818228i | −0.527097 | − | 0.849805i | \(-0.676720\pi\) |
0.999501 | + | 0.0315768i | \(0.0100529\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.62246 | + | 30.7547i | −0.184269 | + | 1.00794i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −16.7455 | − | 23.9992i | −0.548224 | − | 0.785697i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −18.4215 | − | 10.6356i | −0.602447 | − | 0.347823i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 53.6825i | 1.75373i | 0.480736 | + | 0.876865i | \(0.340369\pi\) | ||||
−0.480736 | + | 0.876865i | \(0.659631\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 6.70936 | + | 3.14209i | 0.218952 | + | 0.102538i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −22.9511 | − | 39.7524i | −0.748184 | − | 1.29589i | −0.948693 | − | 0.316200i | \(-0.897593\pi\) |
0.200509 | − | 0.979692i | \(-0.435740\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.376324 | + | 0.217271i | 0.0122548 | + | 0.00707530i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −10.2560 | + | 8.46547i | −0.333629 | + | 0.275382i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 25.0440 | + | 14.4591i | 0.813820 | + | 0.469859i | 0.848281 | − | 0.529547i | \(-0.177638\pi\) |
−0.0344607 | + | 0.999406i | \(0.510971\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.41390 | − | 9.37715i | −0.175743 | − | 0.304395i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −10.3986 | − | 4.86984i | −0.337199 | − | 0.157915i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 12.8715i | − | 0.416949i | −0.978028 | − | 0.208475i | \(-0.933150\pi\) | ||
0.978028 | − | 0.208475i | \(-0.0668498\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18.4877 | − | 10.6739i | −0.598249 | − | 0.345399i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 29.4160 | + | 42.1580i | 0.950884 | + | 1.36278i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 18.8073 | + | 40.6656i | 0.607319 | + | 1.31316i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.51314 | − | 6.08494i | 0.113327 | − | 0.196288i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 44.1451 | − | 36.7950i | 1.42256 | − | 1.18570i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 9.64402 | + | 16.7039i | 0.310452 | + | 0.537719i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −3.11725 | + | 5.39923i | −0.100244 | + | 0.173627i | −0.911785 | − | 0.410668i | \(-0.865296\pi\) |
0.811541 | + | 0.584295i | \(0.198629\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.60998 | − | 30.4091i | −0.0838447 | − | 0.976881i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −19.6863 | − | 34.0977i | −0.631764 | − | 1.09425i | −0.987191 | − | 0.159544i | \(-0.948998\pi\) |
0.355426 | − | 0.934704i | \(-0.384336\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 31.9570 | + | 2.89712i | 1.02449 | + | 0.0928774i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −27.7443 | − | 12.9931i | −0.888529 | − | 0.416111i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 23.2474 | − | 13.4219i | 0.743751 | − | 0.429405i | −0.0796807 | − | 0.996820i | \(-0.525390\pi\) |
0.823431 | + | 0.567416i | \(0.192057\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −19.8685 | + | 11.4711i | −0.635001 | + | 0.366618i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −19.9235 | + | 54.1832i | −0.636108 | + | 1.72994i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −11.9691 | −0.381756 | −0.190878 | − | 0.981614i | \(-0.561134\pi\) | ||||
−0.190878 | + | 0.981614i | \(0.561134\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 4.47445i | − | 0.142568i | ||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −0.208339 | + | 43.4882i | −0.00663151 | + | 1.38424i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 19.9935 | − | 11.5432i | 0.635755 | − | 0.367053i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.40420 | − | 9.36036i | 0.171670 | − | 0.297342i | −0.767334 | − | 0.641248i | \(-0.778417\pi\) |
0.939004 | + | 0.343906i | \(0.111750\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −0.556660 | + | 1.18864i | −0.0176651 | + | 0.0377205i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 17.5109 | + | 10.1099i | 0.555132 | + | 0.320506i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 13.4700i | − | 0.426598i | −0.976987 | − | 0.213299i | \(-0.931579\pi\) | ||
0.976987 | − | 0.213299i | \(-0.0684208\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 1.78128 | + | 1.79897i | 0.0563572 | + | 0.0569170i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))