Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(568,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.568");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.o (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.771147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 5x^{4} + 6x^{3} + 15x^{2} + 4x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 757.1 | ||
Root | \(-0.136945 - 0.237196i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 819.757 |
Dual form | 819.2.o.d.568.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18860 | − | 2.05872i | −0.840468 | − | 1.45573i | −0.889499 | − | 0.456936i | \(-0.848947\pi\) |
0.0490313 | − | 0.998797i | \(-0.484387\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.82555 | + | 3.16194i | −0.912773 | + | 1.58097i | ||||
\(5\) | 4.02830 | 1.80151 | 0.900754 | − | 0.434329i | \(-0.143014\pi\) | ||||
0.900754 | + | 0.434329i | \(0.143014\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.500000 | − | 0.866025i | 0.188982 | − | 0.327327i | ||||
\(8\) | 3.92498 | 1.38769 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.78804 | − | 8.29313i | −1.51411 | − | 2.62252i | ||||
\(11\) | −1.63695 | − | 2.83527i | −0.493558 | − | 0.854867i | 0.506415 | − | 0.862290i | \(-0.330970\pi\) |
−0.999972 | + | 0.00742317i | \(0.997637\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.910836 | + | 3.48861i | 0.252620 | + | 0.967565i | ||||
\(14\) | −2.37720 | −0.635334 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.01415 | − | 1.75656i | −0.253537 | − | 0.439139i | ||||
\(17\) | −0.188601 | + | 0.326667i | −0.0457426 | + | 0.0792284i | −0.887990 | − | 0.459862i | \(-0.847899\pi\) |
0.842248 | + | 0.539091i | \(0.181232\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.77389 | − | 3.07247i | 0.406958 | − | 0.704873i | −0.587589 | − | 0.809160i | \(-0.699923\pi\) |
0.994547 | + | 0.104287i | \(0.0332561\pi\) | |||||||
\(20\) | −7.35384 | + | 12.7372i | −1.64437 | + | 2.84813i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −3.89135 | + | 6.74002i | −0.829639 | + | 1.43698i | ||||
\(23\) | 0.948344 | + | 1.64258i | 0.197743 | + | 0.342502i | 0.947796 | − | 0.318876i | \(-0.103305\pi\) |
−0.750053 | + | 0.661378i | \(0.769972\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 11.2272 | 2.24543 | ||||||||
\(26\) | 6.09944 | − | 6.02172i | 1.19620 | − | 1.18096i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.82555 | + | 3.16194i | 0.344996 | + | 0.597550i | ||||
\(29\) | −4.33969 | − | 7.51657i | −0.805861 | − | 1.39579i | −0.915708 | − | 0.401844i | \(-0.868369\pi\) |
0.109847 | − | 0.993948i | \(-0.464964\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.33048 | 1.13699 | 0.568494 | − | 0.822687i | \(-0.307526\pi\) | ||||
0.568494 | + | 0.822687i | \(0.307526\pi\) | |||||||
\(32\) | 1.51415 | − | 2.62258i | 0.267666 | − | 0.463611i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.896688 | 0.153781 | ||||||||
\(35\) | 2.01415 | − | 3.48861i | 0.340453 | − | 0.589682i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.01415 | − | 3.48861i | −0.331124 | − | 0.573523i | 0.651609 | − | 0.758555i | \(-0.274094\pi\) |
−0.982733 | + | 0.185032i | \(0.940761\pi\) | |||||||
\(38\) | −8.43380 | −1.36814 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 15.8110 | 2.49994 | ||||||||
\(41\) | 3.75441 | + | 6.50282i | 0.586340 | + | 1.01557i | 0.994707 | + | 0.102752i | \(0.0327649\pi\) |
−0.408367 | + | 0.912818i | \(0.633902\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.32555 | − | 7.49207i | 0.659640 | − | 1.14253i | −0.321069 | − | 0.947056i | \(-0.604042\pi\) |
0.980709 | − | 0.195474i | \(-0.0626244\pi\) | |||||||
\(44\) | 11.9533 | 1.80202 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.25441 | − | 3.90475i | 0.332394 | − | 0.575723i | ||||
\(47\) | 12.1239 | 1.76845 | 0.884223 | − | 0.467064i | \(-0.154688\pi\) | ||||
0.884223 | + | 0.467064i | \(0.154688\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | ||||
\(50\) | −13.3446 | − | 23.1136i | −1.88722 | − | 3.26875i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −12.6935 | − | 3.48861i | −1.76028 | − | 0.483783i | ||||
\(53\) | −7.75441 | −1.06515 | −0.532575 | − | 0.846383i | \(-0.678775\pi\) | ||||
−0.532575 | + | 0.846383i | \(0.678775\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.59410 | − | 11.4213i | −0.889148 | − | 1.54005i | ||||
\(56\) | 1.96249 | − | 3.39914i | 0.262249 | − | 0.454229i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10.3163 | + | 17.8684i | −1.35460 | + | 2.34624i | ||||
\(59\) | −1.05166 | + | 1.82152i | −0.136914 | + | 0.237142i | −0.926327 | − | 0.376720i | \(-0.877052\pi\) |
0.789413 | + | 0.613862i | \(0.210385\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.87720 | + | 6.71551i | −0.496425 | + | 0.859833i | −0.999991 | − | 0.00412320i | \(-0.998688\pi\) |
0.503567 | + | 0.863956i | \(0.332021\pi\) | |||||||
\(62\) | −7.52442 | − | 13.0327i | −0.955602 | − | 1.65515i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −11.2555 | −1.40693 | ||||||||
\(65\) | 3.66912 | + | 14.0531i | 0.455098 | + | 1.74308i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.79191 | − | 4.83574i | −0.341087 | − | 0.590779i | 0.643548 | − | 0.765406i | \(-0.277462\pi\) |
−0.984635 | + | 0.174626i | \(0.944128\pi\) | |||||||
\(68\) | −0.688601 | − | 1.19269i | −0.0835052 | − | 0.144635i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −9.57608 | −1.14456 | ||||||||
\(71\) | 1.99612 | − | 3.45739i | 0.236896 | − | 0.410317i | −0.722926 | − | 0.690926i | \(-0.757203\pi\) |
0.959822 | + | 0.280609i | \(0.0905365\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.50106 | 0.877933 | 0.438966 | − | 0.898503i | \(-0.355345\pi\) | ||||
0.438966 | + | 0.898503i | \(0.355345\pi\) | |||||||
\(74\) | −4.78804 | + | 8.29313i | −0.556598 | + | 0.964056i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.47664 | + | 11.2179i | 0.742922 | + | 1.28678i | ||||
\(77\) | −3.27389 | −0.373094 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.16283 | −0.130828 | −0.0654142 | − | 0.997858i | \(-0.520837\pi\) | ||||
−0.0654142 | + | 0.997858i | \(0.520837\pi\) | |||||||
\(80\) | −4.08529 | − | 7.07593i | −0.456749 | − | 0.791113i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 8.92498 | − | 15.4585i | 0.985600 | − | 1.70711i | ||||
\(83\) | −15.1805 | −1.66627 | −0.833135 | − | 0.553069i | \(-0.813457\pi\) | ||||
−0.833135 | + | 0.553069i | \(0.813457\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.759742 | + | 1.31591i | −0.0824056 | + | 0.142731i | ||||
\(86\) | −20.5654 | −2.21762 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −6.42498 | − | 11.1284i | −0.684906 | − | 1.18629i | ||||
\(89\) | 3.17939 | + | 5.50686i | 0.337015 | + | 0.583726i | 0.983870 | − | 0.178886i | \(-0.0572495\pi\) |
−0.646855 | + | 0.762613i | \(0.723916\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 3.47664 | + | 0.955496i | 0.364451 | + | 0.100163i | ||||
\(92\) | −6.92498 | −0.721979 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −14.4104 | − | 24.9596i | −1.48632 | − | 2.57439i | ||||
\(95\) | 7.14576 | − | 12.3768i | 0.733139 | − | 1.26983i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.48585 | + | 4.30562i | −0.252400 | + | 0.437170i | −0.964186 | − | 0.265227i | \(-0.914553\pi\) |
0.711786 | + | 0.702396i | \(0.247887\pi\) | |||||||
\(98\) | −1.18860 | + | 2.05872i | −0.120067 | + | 0.207962i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −20.4957 | + | 35.4996i | −2.04957 | + | 3.54996i | ||||
\(101\) | 2.94834 | + | 5.10668i | 0.293371 | + | 0.508134i | 0.974605 | − | 0.223932i | \(-0.0718895\pi\) |
−0.681233 | + | 0.732066i | \(0.738556\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.5654 | 1.04104 | 0.520520 | − | 0.853849i | \(-0.325738\pi\) | ||||
0.520520 | + | 0.853849i | \(0.325738\pi\) | |||||||
\(104\) | 3.57502 | + | 13.6927i | 0.350559 | + | 1.34268i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.21690 | + | 15.9641i | 0.895224 | + | 1.55057i | ||||
\(107\) | −6.20275 | − | 10.7435i | −0.599642 | − | 1.03861i | −0.992874 | − | 0.119172i | \(-0.961976\pi\) |
0.393231 | − | 0.919440i | \(-0.371357\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.1316 | −1.16200 | −0.580999 | − | 0.813905i | \(-0.697338\pi\) | ||||
−0.580999 | + | 0.813905i | \(0.697338\pi\) | |||||||
\(110\) | −15.6755 | + | 27.1508i | −1.49460 | + | 2.58873i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.02830 | −0.191656 | ||||||||
\(113\) | −5.33582 | + | 9.24191i | −0.501952 | + | 0.869406i | 0.498046 | + | 0.867151i | \(0.334051\pi\) |
−0.999997 | + | 0.00225510i | \(0.999282\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.82021 | + | 6.61680i | 0.356236 | + | 0.617020i | ||||
\(116\) | 31.6893 | 2.94227 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.00000 | 0.460287 | ||||||||
\(119\) | 0.188601 | + | 0.326667i | 0.0172891 | + | 0.0299455i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.140820 | − | 0.243908i | 0.0128018 | − | 0.0221734i | ||||
\(122\) | 18.4338 | 1.66892 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −11.5566 | + | 20.0166i | −1.03781 | + | 1.79754i | ||||
\(125\) | 25.0849 | 2.24366 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.66524 | − | 6.34838i | −0.325238 | − | 0.563328i | 0.656323 | − | 0.754480i | \(-0.272111\pi\) |
−0.981560 | + | 0.191152i | \(0.938778\pi\) | |||||||
\(128\) | 10.3500 | + | 17.9267i | 0.914817 | + | 1.58451i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 24.5703 | − | 24.2573i | 2.15496 | − | 2.12750i | ||||
\(131\) | −11.4239 | −0.998113 | −0.499056 | − | 0.866570i | \(-0.666320\pi\) | ||||
−0.499056 | + | 0.866570i | \(0.666320\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.77389 | − | 3.07247i | −0.153816 | − | 0.266417i | ||||
\(134\) | −6.63695 | + | 11.4955i | −0.573345 | + | 0.993062i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.740258 | + | 1.28216i | −0.0634766 | + | 0.109945i | ||||
\(137\) | −1.59556 | + | 2.76359i | −0.136318 | + | 0.236110i | −0.926100 | − | 0.377278i | \(-0.876860\pi\) |
0.789782 | + | 0.613387i | \(0.210194\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.68860 | + | 4.65679i | −0.228044 | + | 0.394984i | −0.957228 | − | 0.289333i | \(-0.906566\pi\) |
0.729184 | + | 0.684317i | \(0.239900\pi\) | |||||||
\(140\) | 7.35384 | + | 12.7372i | 0.621513 | + | 1.07649i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −9.49039 | −0.796416 | ||||||||
\(143\) | 8.40016 | − | 8.29313i | 0.702457 | − | 0.693506i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −17.4816 | − | 30.2790i | −1.45177 | − | 2.51453i | ||||
\(146\) | −8.91577 | − | 15.4426i | −0.737875 | − | 1.27804i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 14.7077 | 1.20896 | ||||||||
\(149\) | −5.01415 | + | 8.68476i | −0.410775 | + | 0.711483i | −0.994975 | − | 0.100127i | \(-0.968075\pi\) |
0.584200 | + | 0.811610i | \(0.301408\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.71544 | −0.790631 | −0.395315 | − | 0.918545i | \(-0.629365\pi\) | ||||
−0.395315 | + | 0.918545i | \(0.629365\pi\) | |||||||
\(152\) | 6.96249 | − | 12.0594i | 0.564733 | − | 0.978146i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.89135 | + | 6.74002i | 0.313574 | + | 0.543126i | ||||
\(155\) | 25.5011 | 2.04829 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 17.5761 | 1.40272 | 0.701362 | − | 0.712805i | \(-0.252576\pi\) | ||||
0.701362 | + | 0.712805i | \(0.252576\pi\) | |||||||
\(158\) | 1.38214 | + | 2.39394i | 0.109957 | + | 0.190451i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 6.09944 | − | 10.5645i | 0.482203 | − | 0.835200i | ||||
\(161\) | 1.89669 | 0.149480 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.74559 | − | 4.75551i | 0.215052 | − | 0.372480i | −0.738237 | − | 0.674541i | \(-0.764341\pi\) |
0.953289 | + | 0.302061i | \(0.0976747\pi\) | |||||||
\(164\) | −27.4154 | −2.14078 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 18.0435 | + | 31.2523i | 1.40045 | + | 2.42565i | ||||
\(167\) | 2.21836 | + | 3.84231i | 0.171662 | + | 0.297327i | 0.939001 | − | 0.343914i | \(-0.111753\pi\) |
−0.767339 | + | 0.641241i | \(0.778420\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −11.3408 | + | 6.35510i | −0.872366 | + | 0.488854i | ||||
\(170\) | 3.61212 | 0.277037 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 15.7930 | + | 27.3542i | 1.20420 | + | 2.08574i | ||||
\(173\) | 11.0800 | − | 19.1910i | 0.842393 | − | 1.45907i | −0.0454728 | − | 0.998966i | \(-0.514479\pi\) |
0.887866 | − | 0.460102i | \(-0.152187\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.61359 | − | 9.72302i | 0.424347 | − | 0.734991i | ||||
\(176\) | −3.32021 | + | 5.75077i | −0.250270 | + | 0.433481i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.55805 | − | 13.0909i | 0.566500 | − | 0.981207i | ||||
\(179\) | −0.970242 | − | 1.68051i | −0.0725193 | − | 0.125607i | 0.827486 | − | 0.561487i | \(-0.189771\pi\) |
−0.900005 | + | 0.435880i | \(0.856437\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.50106 | −0.631879 | −0.315939 | − | 0.948779i | \(-0.602320\pi\) | ||||
−0.315939 | + | 0.948779i | \(0.602320\pi\) | |||||||
\(182\) | −2.16524 | − | 8.29313i | −0.160498 | − | 0.614727i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.72223 | + | 6.44710i | 0.274407 | + | 0.475286i | ||||
\(185\) | −8.11359 | − | 14.0531i | −0.596523 | − | 1.03321i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.23492 | 0.0903064 | ||||||||
\(188\) | −22.1327 | + | 38.3349i | −1.61419 | + | 2.79586i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −33.9738 | −2.46472 | ||||||||
\(191\) | 0.325547 | − | 0.563863i | 0.0235557 | − | 0.0407997i | −0.854007 | − | 0.520261i | \(-0.825835\pi\) |
0.877563 | + | 0.479461i | \(0.159168\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.53217 | − | 16.5102i | −0.686141 | − | 1.18843i | −0.973077 | − | 0.230481i | \(-0.925970\pi\) |
0.286936 | − | 0.957950i | \(-0.407363\pi\) | |||||||
\(194\) | 11.8187 | 0.848537 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.65109 | 0.260792 | ||||||||
\(197\) | 12.3549 | + | 21.3993i | 0.880250 | + | 1.52464i | 0.851062 | + | 0.525065i | \(0.175959\pi\) |
0.0291881 | + | 0.999574i | \(0.490708\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.57220 | + | 11.3834i | −0.465891 | + | 0.806947i | −0.999241 | − | 0.0389475i | \(-0.987599\pi\) |
0.533350 | + | 0.845895i | \(0.320933\pi\) | |||||||
\(200\) | 44.0665 | 3.11597 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.00881 | − | 12.1396i | 0.493138 | − | 0.854141i | ||||
\(203\) | −8.67939 | −0.609174 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.1239 | + | 26.1953i | 1.05630 | + | 1.82956i | ||||
\(206\) | −12.5581 | − | 21.7512i | −0.874961 | − | 1.51548i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.20421 | − | 5.13790i | 0.360847 | − | 0.356249i | ||||
\(209\) | −11.6150 | −0.803430 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.79831 | + | 16.9712i | 0.674544 | + | 1.16834i | 0.976602 | + | 0.215054i | \(0.0689929\pi\) |
−0.302058 | + | 0.953289i | \(0.597674\pi\) | |||||||
\(212\) | 14.1560 | − | 24.5190i | 0.972240 | − | 1.68397i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −14.7452 | + | 25.5394i | −1.00796 | + | 1.74584i | ||||
\(215\) | 17.4246 | − | 30.1803i | 1.18835 | − | 2.05828i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.16524 | − | 5.48236i | 0.214871 | − | 0.372167i | ||||
\(218\) | 14.4196 | + | 24.9756i | 0.976622 | + | 1.69156i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 48.1514 | 3.24636 | ||||||||
\(221\) | −1.31140 | − | 0.360416i | −0.0882142 | − | 0.0242442i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 13.9338 | + | 24.1340i | 0.933076 | + | 1.61613i | 0.778029 | + | 0.628228i | \(0.216219\pi\) |
0.155046 | + | 0.987907i | \(0.450447\pi\) | |||||||
\(224\) | −1.51415 | − | 2.62258i | −0.101168 | − | 0.175229i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 25.3687 | 1.68750 | ||||||||
\(227\) | 6.01521 | − | 10.4186i | 0.399243 | − | 0.691510i | −0.594389 | − | 0.804177i | \(-0.702606\pi\) |
0.993633 | + | 0.112667i | \(0.0359395\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.19887 | −0.607879 | −0.303939 | − | 0.952691i | \(-0.598302\pi\) | ||||
−0.303939 | + | 0.952691i | \(0.598302\pi\) | |||||||
\(230\) | 9.08141 | − | 15.7295i | 0.598811 | − | 1.03717i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −17.0332 | − | 29.5024i | −1.11829 | − | 1.93693i | ||||
\(233\) | 12.4522 | 0.815772 | 0.407886 | − | 0.913033i | \(-0.366266\pi\) | ||||
0.407886 | + | 0.913033i | \(0.366266\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 48.8385 | 3.18587 | ||||||||
\(236\) | −3.83969 | − | 6.65055i | −0.249943 | − | 0.432914i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.448344 | − | 0.776554i | 0.0290618 | − | 0.0503365i | ||||
\(239\) | 3.24559 | 0.209940 | 0.104970 | − | 0.994475i | \(-0.466525\pi\) | ||||
0.104970 | + | 0.994475i | \(0.466525\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.71302 | + | 8.16319i | −0.303592 | + | 0.525838i | −0.976947 | − | 0.213482i | \(-0.931519\pi\) |
0.673354 | + | 0.739320i | \(0.264853\pi\) | |||||||
\(242\) | −0.669517 | −0.0430382 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −14.1560 | − | 24.5190i | −0.906247 | − | 1.56967i | ||||
\(245\) | −2.01415 | − | 3.48861i | −0.128679 | − | 0.222879i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.3344 | + | 3.38989i | 0.784816 | + | 0.215694i | ||||
\(248\) | 24.8470 | 1.57779 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −29.8159 | − | 51.6427i | −1.88573 | − | 3.26617i | ||||
\(251\) | −5.99466 | + | 10.3831i | −0.378380 | + | 0.655373i | −0.990827 | − | 0.135139i | \(-0.956852\pi\) |
0.612447 | + | 0.790512i | \(0.290185\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.10477 | − | 5.37763i | 0.195195 | − | 0.338088i | ||||
\(254\) | −8.71302 | + | 15.0914i | −0.546704 | + | 0.946919i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.3485 | − | 23.1203i | 0.834282 | − | 1.44502i | ||||
\(257\) | 7.29831 | + | 12.6410i | 0.455256 | + | 0.788527i | 0.998703 | − | 0.0509168i | \(-0.0162143\pi\) |
−0.543447 | + | 0.839444i | \(0.682881\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.02830 | −0.250306 | ||||||||
\(260\) | −51.1333 | − | 14.0531i | −3.17115 | − | 0.871539i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 13.5785 | + | 23.5186i | 0.838882 | + | 1.45299i | ||||
\(263\) | 11.3266 | + | 19.6183i | 0.698429 | + | 1.20971i | 0.969011 | + | 0.247017i | \(0.0794504\pi\) |
−0.270583 | + | 0.962697i | \(0.587216\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −31.2370 | −1.91888 | ||||||||
\(266\) | −4.21690 | + | 7.30388i | −0.258555 | + | 0.447830i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 20.3871 | 1.24534 | ||||||||
\(269\) | −13.9947 | + | 24.2395i | −0.853270 | + | 1.47791i | 0.0249713 | + | 0.999688i | \(0.492051\pi\) |
−0.878241 | + | 0.478218i | \(0.841283\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.80365 | + | 6.58811i | 0.231055 | + | 0.400199i | 0.958119 | − | 0.286371i | \(-0.0924489\pi\) |
−0.727064 | + | 0.686570i | \(0.759116\pi\) | |||||||
\(272\) | 0.765079 | 0.0463897 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.58595 | 0.458284 | ||||||||
\(275\) | −18.3783 | − | 31.8321i | −1.10825 | − | 1.91955i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.44447 | − | 5.96599i | 0.206958 | − | 0.358462i | −0.743797 | − | 0.668406i | \(-0.766977\pi\) |
0.950755 | + | 0.309944i | \(0.100310\pi\) | |||||||
\(278\) | 12.7827 | 0.766656 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7.90550 | − | 13.6927i | 0.472444 | − | 0.818297i | ||||
\(281\) | −10.8062 | −0.644642 | −0.322321 | − | 0.946630i | \(-0.604463\pi\) | ||||
−0.322321 | + | 0.946630i | \(0.604463\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.81246 | + | 6.60337i | 0.226627 | + | 0.392530i | 0.956806 | − | 0.290726i | \(-0.0938968\pi\) |
−0.730179 | + | 0.683256i | \(0.760563\pi\) | |||||||
\(284\) | 7.28804 | + | 12.6233i | 0.432466 | + | 0.749052i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −27.0577 | − | 7.43634i | −1.59995 | − | 0.439720i | ||||
\(287\) | 7.50881 | 0.443231 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.42886 | + | 14.5992i | 0.495815 | + | 0.858777i | ||||
\(290\) | −41.5573 | + | 71.9793i | −2.44033 | + | 4.22677i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −13.6935 | + | 23.7179i | −0.801354 | + | 1.38799i | ||||
\(293\) | −11.1458 | + | 19.3050i | −0.651142 | + | 1.12781i | 0.331704 | + | 0.943384i | \(0.392376\pi\) |
−0.982846 | + | 0.184428i | \(0.940957\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.23638 | + | 7.33763i | −0.246652 | + | 0.427213i | ||||
\(296\) | −7.90550 | − | 13.6927i | −0.459498 | − | 0.795874i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 23.8393 | 1.38097 | ||||||||
\(299\) | −4.86653 | + | 4.80452i | −0.281439 | + | 0.277853i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.32555 | − | 7.49207i | −0.249320 | − | 0.431836i | ||||
\(302\) | 11.5478 | + | 20.0013i | 0.664500 | + | 1.15095i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.19595 | −0.412716 | ||||||||
\(305\) | −15.6185 | + | 27.0521i | −0.894314 | + | 1.54900i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −28.2448 | −1.61202 | −0.806008 | − | 0.591905i | \(-0.798376\pi\) | ||||
−0.806008 | + | 0.591905i | \(0.798376\pi\) | |||||||
\(308\) | 5.97664 | − | 10.3518i | 0.340551 | − | 0.589851i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −30.3106 | − | 52.4995i | −1.72153 | − | 2.98177i | ||||
\(311\) | 2.66177 | 0.150935 | 0.0754675 | − | 0.997148i | \(-0.475955\pi\) | ||||
0.0754675 | + | 0.997148i | \(0.475955\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −22.4826 | −1.27079 | −0.635397 | − | 0.772186i | \(-0.719163\pi\) | ||||
−0.635397 | + | 0.772186i | \(0.719163\pi\) | |||||||
\(314\) | −20.8910 | − | 36.1842i | −1.17894 | − | 2.04199i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.12280 | − | 3.67679i | 0.119417 | − | 0.206836i | ||||
\(317\) | −18.8315 | −1.05768 | −0.528842 | − | 0.848720i | \(-0.677374\pi\) | ||||
−0.528842 | + | 0.848720i | \(0.677374\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −14.2077 | + | 24.6084i | −0.795478 | + | 1.37781i | ||||
\(320\) | −45.3404 | −2.53460 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −2.25441 | − | 3.90475i | −0.125633 | − | 0.217603i | ||||
\(323\) | 0.669117 | + | 1.15894i | 0.0372306 | + | 0.0644854i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.2261 | + | 39.1672i | 0.567242 | + | 2.17260i | ||||
\(326\) | −13.0537 | −0.722976 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 14.7360 | + | 25.5235i | 0.813659 | + | 1.40930i | ||||
\(329\) | 6.06193 | − | 10.4996i | 0.334205 | − | 0.578860i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.91577 | − | 15.4426i | 0.490055 | − | 0.848800i | −0.509879 | − | 0.860246i | \(-0.670310\pi\) |
0.999934 | + | 0.0114455i | \(0.00364329\pi\) | |||||||
\(332\) | 27.7126 | − | 47.9997i | 1.52093 | − | 2.63432i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.27349 | − | 9.13395i | 0.288553 | − | 0.499788i | ||||
\(335\) | −11.2467 | − | 19.4798i | −0.614470 | − | 1.06429i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.57608 | 0.412695 | 0.206348 | − | 0.978479i | \(-0.433842\pi\) | ||||
0.206348 | + | 0.978479i | \(0.433842\pi\) | |||||||
\(338\) | 26.5630 | + | 15.7937i | 1.44484 | + | 0.859066i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −2.77389 | − | 4.80452i | −0.150435 | − | 0.260562i | ||||
\(341\) | −10.3627 | − | 17.9486i | −0.561169 | − | 0.971974i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 16.9777 | − | 29.4062i | 0.915376 | − | 1.58548i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −52.6786 | −2.83202 | ||||||||
\(347\) | 3.94407 | − | 6.83133i | 0.211729 | − | 0.366725i | −0.740527 | − | 0.672027i | \(-0.765424\pi\) |
0.952256 | + | 0.305302i | \(0.0987573\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.86693 | + | 10.1618i | 0.314050 | + | 0.543950i | 0.979235 | − | 0.202728i | \(-0.0649809\pi\) |
−0.665185 | + | 0.746678i | \(0.731648\pi\) | |||||||
\(350\) | −26.6893 | −1.42660 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −9.91431 | −0.528435 | ||||||||
\(353\) | −6.26855 | − | 10.8575i | −0.333641 | − | 0.577884i | 0.649581 | − | 0.760292i | \(-0.274944\pi\) |
−0.983223 | + | 0.182408i | \(0.941611\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.04098 | − | 13.9274i | 0.426771 | − | 0.739189i | ||||
\(356\) | −23.2165 | −1.23047 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.30646 | + | 3.99491i | −0.121900 | + | 0.211138i | ||||
\(359\) | 5.01762 | 0.264820 | 0.132410 | − | 0.991195i | \(-0.457728\pi\) | ||||
0.132410 | + | 0.991195i | \(0.457728\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.20662 | + | 5.55404i | 0.168770 | + | 0.292318i | ||||
\(362\) | 10.1044 | + | 17.5013i | 0.531074 | + | 0.919847i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.36799 | + | 9.24862i | −0.491016 | + | 0.484760i | ||||
\(365\) | 30.2165 | 1.58160 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.8549 | − | 20.5333i | −0.618821 | − | 1.07183i | −0.989701 | − | 0.143149i | \(-0.954277\pi\) |
0.370880 | − | 0.928681i | \(-0.379056\pi\) | |||||||
\(368\) | 1.92352 | − | 3.33164i | 0.100271 | − | 0.173674i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −19.2876 | + | 33.4072i | −1.00272 | + | 1.73676i | ||||
\(371\) | −3.87720 | + | 6.71551i | −0.201294 | + | 0.348652i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.97664 | − | 8.61979i | 0.257681 | − | 0.446316i | −0.707940 | − | 0.706273i | \(-0.750375\pi\) |
0.965620 | + | 0.259957i | \(0.0837084\pi\) | |||||||
\(374\) | −1.46783 | − | 2.54235i | −0.0758996 | − | 0.131462i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 47.5860 | 2.45406 | ||||||||
\(377\) | 22.2696 | − | 21.9859i | 1.14694 | − | 1.13233i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 13.9250 | + | 24.1188i | 0.715278 | + | 1.23890i | 0.962852 | + | 0.270029i | \(0.0870334\pi\) |
−0.247574 | + | 0.968869i | \(0.579633\pi\) | |||||||
\(380\) | 26.0898 | + | 45.1889i | 1.33838 | + | 2.31814i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.54778 | −0.0791914 | ||||||||
\(383\) | −3.45222 | + | 5.97942i | −0.176400 | + | 0.305534i | −0.940645 | − | 0.339392i | \(-0.889779\pi\) |
0.764245 | + | 0.644926i | \(0.223112\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −13.1882 | −0.672133 | ||||||||
\(386\) | −22.6599 | + | 39.2481i | −1.15336 | + | 1.99768i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.07608 | − | 15.7202i | −0.460768 | − | 0.798074i | ||||
\(389\) | 28.3764 | 1.43874 | 0.719370 | − | 0.694627i | \(-0.244430\pi\) | ||||
0.719370 | + | 0.694627i | \(0.244430\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.715436 | −0.0361812 | ||||||||
\(392\) | −1.96249 | − | 3.39914i | −0.0991208 | − | 0.171682i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 29.3701 | − | 50.8705i | 1.47964 | − | 2.56282i | ||||
\(395\) | −4.68422 | −0.235689 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.38360 | − | 4.12852i | 0.119630 | − | 0.207204i | −0.799991 | − | 0.600011i | \(-0.795163\pi\) |
0.919621 | + | 0.392807i | \(0.128496\pi\) | |||||||
\(398\) | 31.2469 | 1.56627 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −11.3860 | − | 19.7212i | −0.569301 | − | 0.986058i | ||||
\(401\) | −4.13307 | − | 7.15869i | −0.206396 | − | 0.357488i | 0.744181 | − | 0.667978i | \(-0.232840\pi\) |
−0.950577 | + | 0.310490i | \(0.899507\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.76603 | + | 22.0846i | 0.287226 | + | 1.10011i | ||||
\(404\) | −21.5294 | −1.07113 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.3163 | + | 17.8684i | 0.511991 | + | 0.886795i | ||||
\(407\) | −6.59410 | + | 11.4213i | −0.326857 | + | 0.566134i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.7169 | + | 18.5622i | −0.529916 | + | 0.917842i | 0.469474 | + | 0.882946i | \(0.344443\pi\) |
−0.999391 | + | 0.0348962i | \(0.988890\pi\) | |||||||
\(410\) | 35.9525 | − | 62.2715i | 1.77557 | − | 3.07537i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −19.2876 | + | 33.4072i | −0.950234 | + | 1.64585i | ||||
\(413\) | 1.05166 | + | 1.82152i | 0.0517486 | + | 0.0896312i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −61.1514 | −3.00180 | ||||||||
\(416\) | 10.5283 | + | 2.89353i | 0.516192 | + | 0.141867i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.8057 | + | 23.9121i | 0.675257 | + | 1.16958i | ||||
\(419\) | −1.14576 | − | 1.98451i | −0.0559739 | − | 0.0969496i | 0.836681 | − | 0.547691i | \(-0.184493\pi\) |
−0.892655 | + | 0.450741i | \(0.851160\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.61292 | 0.371031 | 0.185516 | − | 0.982641i | \(-0.440604\pi\) | ||||
0.185516 | + | 0.982641i | \(0.440604\pi\) | |||||||
\(422\) | 23.2926 | − | 40.3439i | 1.13386 | − | 1.96391i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −30.4359 | −1.47810 | ||||||||
\(425\) | −2.11746 | + | 3.66755i | −0.102712 | + | 0.177902i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.87720 | + | 6.71551i | 0.187631 | + | 0.324986i | ||||
\(428\) | 45.2936 | 2.18935 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −82.8435 | −3.99507 | ||||||||
\(431\) | 10.4314 | + | 18.0677i | 0.502462 | + | 0.870290i | 0.999996 | + | 0.00284520i | \(0.000905656\pi\) |
−0.497534 | + | 0.867444i | \(0.665761\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 11.6882 | − | 20.2446i | 0.561699 | − | 0.972891i | −0.435649 | − | 0.900116i | \(-0.643481\pi\) |
0.997348 | − | 0.0727749i | \(-0.0231855\pi\) | |||||||
\(434\) | −15.0488 | −0.722368 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 22.1468 | − | 38.3594i | 1.06064 | − | 1.83708i | ||||
\(437\) | 6.72903 | 0.321893 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −4.57754 | − | 7.92853i | −0.218474 | − | 0.378408i | 0.735868 | − | 0.677125i | \(-0.236775\pi\) |
−0.954342 | + | 0.298717i | \(0.903441\pi\) | |||||||
\(440\) | −25.8817 | − | 44.8285i | −1.23386 | − | 2.13711i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.816735 | + | 3.12819i | 0.0388481 | + | 0.148793i | ||||
\(443\) | −11.2632 | −0.535132 | −0.267566 | − | 0.963540i | \(-0.586219\pi\) | ||||
−0.267566 | + | 0.963540i | \(0.586219\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 12.8075 | + | 22.1833i | 0.607135 | + | 1.05159i | ||||
\(446\) | 33.1235 | − | 57.3715i | 1.56844 | − | 2.71662i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.62773 | + | 9.74752i | −0.265885 | + | 0.460527i | ||||
\(449\) | −16.8924 | + | 29.2585i | −0.797202 | + | 1.38079i | 0.124229 | + | 0.992254i | \(0.460354\pi\) |
−0.921431 | + | 0.388541i | \(0.872979\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.2915 | − | 21.2895i | 0.578785 | − | 1.00248i | ||||
\(452\) | −19.4816 | − | 33.7431i | −0.916336 | − | 1.58714i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −28.5987 | −1.34221 | ||||||||
\(455\) | 14.0049 | + | 3.84902i | 0.656562 | + | 0.180445i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.1472 | − | 29.6999i | −0.802113 | − | 1.38930i | −0.918223 | − | 0.396064i | \(-0.870376\pi\) |
0.116110 | − | 0.993236i | \(-0.462958\pi\) | |||||||
\(458\) | 10.9338 | + | 18.9379i | 0.510903 | + | 0.884909i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −27.8959 | −1.30065 | ||||||||
\(461\) | 9.66630 | − | 16.7425i | 0.450205 | − | 0.779777i | −0.548194 | − | 0.836351i | \(-0.684684\pi\) |
0.998398 | + | 0.0565741i | \(0.0180177\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.29444 | 0.292527 | 0.146264 | − | 0.989246i | \(-0.453275\pi\) | ||||
0.146264 | + | 0.989246i | \(0.453275\pi\) | |||||||
\(464\) | −8.80219 | + | 15.2458i | −0.408631 | + | 0.707770i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.8007 | − | 25.6356i | −0.685630 | − | 1.18755i | ||||
\(467\) | −24.2293 | −1.12120 | −0.560599 | − | 0.828087i | \(-0.689429\pi\) | ||||
−0.560599 | + | 0.828087i | \(0.689429\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.58383 | −0.257837 | ||||||||
\(470\) | −58.0495 | − | 100.545i | −2.67762 | − | 4.63778i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.12773 | + | 7.14944i | −0.189994 | + | 0.329080i | ||||
\(473\) | −28.3227 | −1.30228 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 19.9158 | − | 34.4951i | 0.913798 | − | 1.58275i | ||||
\(476\) | −1.37720 | −0.0631240 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.85772 | − | 6.68176i | −0.176448 | − | 0.305617i | ||||
\(479\) | −16.8149 | − | 29.1242i | −0.768291 | − | 1.33072i | −0.938489 | − | 0.345309i | \(-0.887774\pi\) |
0.170198 | − | 0.985410i | \(-0.445559\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.3358 | − | 10.2041i | 0.471273 | − | 0.465268i | ||||
\(482\) | 22.4076 | 1.02064 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.514148 | + | 0.890531i | 0.0233704 | + | 0.0404787i | ||||
\(485\) | −10.0137 | + | 17.3443i | −0.454701 | + | 0.787565i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.96249 | − | 6.86324i | 0.179558 | − | 0.311003i | −0.762171 | − | 0.647375i | \(-0.775867\pi\) |
0.941729 | + | 0.336372i | \(0.109200\pi\) | |||||||
\(488\) | −15.2180 | + | 26.3583i | −0.688885 | + | 1.19318i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −4.78804 | + | 8.29313i | −0.216302 | + | 0.374645i | ||||
\(491\) | 1.21584 | + | 2.10589i | 0.0548699 | + | 0.0950375i | 0.892156 | − | 0.451728i | \(-0.149192\pi\) |
−0.837286 | + | 0.546766i | \(0.815859\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 3.27389 | 0.147449 | ||||||||
\(494\) | −7.68180 | − | 29.4222i | −0.345621 | − | 1.32377i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.42005 | − | 11.1198i | −0.288269 | − | 0.499296i | ||||
\(497\) | −1.99612 | − | 3.45739i | −0.0895384 | − | 0.155085i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −18.5838 | −0.831926 | −0.415963 | − | 0.909381i | \(-0.636555\pi\) | ||||
−0.415963 | + | 0.909381i | \(0.636555\pi\) | |||||||
\(500\) | −45.7936 | + | 79.3169i | −2.04795 | + | 3.54716i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 28.5011 | 1.27206 | ||||||||
\(503\) | −8.72717 | + | 15.1159i | −0.389125 | + | 0.673985i | −0.992332 | − | 0.123600i | \(-0.960556\pi\) |
0.603207 | + | 0.797585i | \(0.293889\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.8768 | + | 20.5712i | 0.528511 | + | 0.915408i | ||||
\(506\) | −14.7614 | −0.656222 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 26.7643 | 1.18747 | ||||||||
\(509\) | 1.38495 | + | 2.39881i | 0.0613870 | + | 0.106325i | 0.895086 | − | 0.445894i | \(-0.147114\pi\) |
−0.833699 | + | 0.552220i | \(0.813781\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.75053 | − | 6.49611i | 0.165914 | − | 0.287371i | ||||
\(512\) | −22.0643 | −0.975115 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 17.3496 | − | 30.0503i | 0.765257 | − | 1.32546i | ||||
\(515\) | 42.5606 | 1.87544 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −19.8461 | − | 34.3744i | −0.872830 | − | 1.51179i | ||||
\(518\) | 4.78804 | + | 8.29313i | 0.210374 | + | 0.364379i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 14.4012 | + | 55.1584i | 0.631535 | + | 2.41885i | ||||
\(521\) | 26.2816 | 1.15142 | 0.575710 | − | 0.817654i | \(-0.304726\pi\) | ||||
0.575710 | + | 0.817654i | \(0.304726\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.62521 | − | 4.54700i | −0.114792 | − | 0.198826i | 0.802904 | − | 0.596108i | \(-0.203287\pi\) |
−0.917697 | + | 0.397282i | \(0.869954\pi\) | |||||||
\(524\) | 20.8549 | − | 36.1218i | 0.911051 | − | 1.57799i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 26.9256 | − | 46.6366i | 1.17401 | − | 2.03345i | ||||
\(527\) | −1.19394 | + | 2.06796i | −0.0520088 | + | 0.0900818i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.70129 | − | 16.8031i | 0.421795 | − | 0.730571i | ||||
\(530\) | 37.1284 | + | 64.3083i | 1.61275 | + | 2.79337i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 12.9533 | 0.561596 | ||||||||
\(533\) | −19.2661 | + | 19.0206i | −0.834509 | + | 0.823876i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −24.9865 | − | 43.2779i | −1.08026 | − | 1.87107i | ||||
\(536\) | −10.9582 | − | 18.9802i | −0.473323 | − | 0.819819i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 66.5363 | 2.86858 | ||||||||
\(539\) | −1.63695 | + | 2.83527i | −0.0705082 | + | 0.122124i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.111863 | −0.00480937 | −0.00240468 | − | 0.999997i | \(-0.500765\pi\) | ||||
−0.00240468 | + | 0.999997i | \(0.500765\pi\) | |||||||
\(542\) | 9.04204 | − | 15.6613i | 0.388389 | − | 0.672710i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.571141 | + | 0.989245i | 0.0244875 | + | 0.0424135i | ||||
\(545\) | −48.8697 | −2.09335 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −33.7515 | −1.44311 | −0.721555 | − | 0.692358i | \(-0.756572\pi\) | ||||
−0.721555 | + | 0.692358i | \(0.756572\pi\) | |||||||
\(548\) | −5.82555 | − | 10.0901i | −0.248855 | − | 0.431030i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −43.6889 | + | 75.6713i | −1.86290 | + | 3.22664i | ||||
\(551\) | −30.7926 | −1.31181 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.581414 | + | 1.00704i | −0.0247242 | + | 0.0428236i | ||||
\(554\) | −16.3764 | −0.695767 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.81633 | − | 17.0024i | −0.416305 | − | 0.721062i | ||||
\(557\) | 14.5073 | + | 25.1275i | 0.614696 | + | 1.06468i | 0.990438 | + | 0.137960i | \(0.0440547\pi\) |
−0.375742 | + | 0.926724i | \(0.622612\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.0767 | + | 8.26609i | 1.27211 | + | 0.349618i | ||||
\(560\) | −8.17058 | −0.345270 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 12.8442 | + | 22.2469i | 0.541801 | + | 0.938427i | ||||
\(563\) | 0.715836 | − | 1.23986i | 0.0301689 | − | 0.0522541i | −0.850547 | − | 0.525899i | \(-0.823729\pi\) |
0.880716 | + | 0.473645i | \(0.157062\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −21.4943 | + | 37.2292i | −0.904270 | + | 1.56624i | ||||
\(566\) | 9.06299 | − | 15.6976i | 0.380946 | − | 0.659818i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 7.83476 | − | 13.5702i | 0.328739 | − | 0.569393i | ||||
\(569\) | −12.2505 | − | 21.2185i | −0.513569 | − | 0.889528i | −0.999876 | − | 0.0157396i | \(-0.994990\pi\) |
0.486307 | − | 0.873788i | \(-0.338344\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −47.3735 | −1.98252 | −0.991259 | − | 0.131929i | \(-0.957883\pi\) | ||||
−0.991259 | + | 0.131929i | \(0.957883\pi\) | |||||||
\(572\) | 10.8875 | + | 41.7003i | 0.455228 | + | 1.74358i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −8.92498 | − | 15.4585i | −0.372522 | − | 0.645226i | ||||
\(575\) | 10.6472 | + | 18.4415i | 0.444020 | + | 0.769065i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 27.4055 | 1.14091 | 0.570453 | − | 0.821330i | \(-0.306768\pi\) | ||||
0.570453 | + | 0.821330i | \(0.306768\pi\) | |||||||
\(578\) | 20.0371 | − | 34.7053i | 0.833434 | − | 1.44355i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 127.654 | 5.30053 | ||||||||
\(581\) | −7.59023 | + | 13.1467i | −0.314896 | + | 0.545415i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 12.6935 | + | 21.9859i | 0.525713 | + | 0.910561i | ||||
\(584\) | 29.4415 | 1.21830 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 52.9914 | 2.18906 | ||||||||
\(587\) | 13.9479 | + | 24.1585i | 0.575693 | + | 0.997130i | 0.995966 | + | 0.0897321i | \(0.0286011\pi\) |
−0.420273 | + | 0.907398i | \(0.638066\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.2296 | − | 19.4502i | 0.462707 | − | 0.801432i | ||||
\(590\) | 20.1415 | 0.829212 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −4.08529 | + | 7.07593i | −0.167904 | + | 0.290819i | ||||
\(593\) | 16.6015 | 0.681740 | 0.340870 | − | 0.940110i | \(-0.389278\pi\) | ||||
0.340870 | + | 0.940110i | \(0.389278\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.759742 | + | 1.31591i | 0.0311464 | + | 0.0539472i | ||||
\(596\) | −18.3071 | − | 31.7089i | −0.749889 | − | 1.29885i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 15.6755 | + | 4.30815i | 0.641019 | + | 0.176173i | ||||
\(599\) | −11.7913 | −0.481778 | −0.240889 | − | 0.970553i | \(-0.577439\pi\) | ||||
−0.240889 | + | 0.970553i | \(0.577439\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.91084 | − | 11.9699i | −0.281899 | − | 0.488263i | 0.689954 | − | 0.723854i | \(-0.257631\pi\) |
−0.971852 | + | 0.235590i | \(0.924298\pi\) | |||||||
\(602\) | −10.2827 | + | 17.8102i | −0.419092 | + | 0.725888i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 17.7360 | − | 30.7196i | 0.721667 | − | 1.24996i | ||||
\(605\) | 0.567266 | − | 0.982533i | 0.0230626 | − | 0.0399457i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.5474 | − | 18.2686i | 0.428105 | − | 0.741500i | −0.568600 | − | 0.822614i | \(-0.692515\pi\) |
0.996705 | + | 0.0811147i | \(0.0258480\pi\) | |||||||
\(608\) | −5.37187 | − | 9.30435i | −0.217858 | − | 0.377341i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 74.2568 | 3.00657 | ||||||||
\(611\) | 11.0428 | + | 42.2954i | 0.446746 | + | 1.71109i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.09691 | − | 1.89991i | −0.0443039 | − | 0.0767367i | 0.843023 | − | 0.537877i | \(-0.180774\pi\) |
−0.887327 | + | 0.461141i | \(0.847440\pi\) | |||||||
\(614\) | 33.5718 | + | 58.1481i | 1.35485 | + | 2.34666i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −12.8500 | −0.517740 | ||||||||
\(617\) | −3.17405 | + | 5.49762i | −0.127783 | + | 0.221326i | −0.922817 | − | 0.385238i | \(-0.874119\pi\) |
0.795035 | + | 0.606564i | \(0.207453\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.77203 | −0.312384 | −0.156192 | − | 0.987727i | \(-0.549922\pi\) | ||||
−0.156192 | + | 0.987727i | \(0.549922\pi\) | |||||||
\(620\) | −46.5534 | + | 80.6328i | −1.86963 | + | 3.23829i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.16378 | − | 5.47983i | −0.126856 | − | 0.219721i | ||||
\(623\) | 6.35878 | 0.254759 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 44.9135 | 1.79654 | ||||||||
\(626\) | 26.7229 | + | 46.2854i | 1.06806 | + | 1.84994i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −32.0860 | + | 55.5745i | −1.28037 | + | 2.21766i | ||||
\(629\) | 1.51948 | 0.0605858 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.1312 | + | 29.6721i | −0.681983 | + | 1.18123i | 0.292392 | + | 0.956298i | \(0.405549\pi\) |
−0.974375 | + | 0.224930i | \(0.927785\pi\) | |||||||
\(632\) | −4.56408 | −0.181549 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 22.3832 | + | 38.7688i | 0.888950 | + | 1.53971i | ||||
\(635\) | −14.7647 | − | 25.5732i | −0.585918 | − | 1.01484i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.56580 | − | 2.53311i | 0.101661 | − | 0.100365i | ||||
\(638\) | 67.5491 | 2.67429 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 41.6927 | + | 72.2139i | 1.64805 | + | 2.85451i | ||||
\(641\) | −11.6093 | + | 20.1079i | −0.458540 | + | 0.794215i | −0.998884 | − | 0.0472294i | \(-0.984961\pi\) |
0.540344 | + | 0.841444i | \(0.318294\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −10.0400 | + | 17.3898i | −0.395940 | + | 0.685788i | −0.993221 | − | 0.116244i | \(-0.962915\pi\) |
0.597281 | + | 0.802032i | \(0.296248\pi\) | |||||||
\(644\) | −3.46249 | + | 5.99721i | −0.136441 | + | 0.236323i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.59063 | − | 2.75504i | 0.0625823 | − | 0.108396i | ||||
\(647\) | −8.26468 | − | 14.3148i | −0.324918 | − | 0.562775i | 0.656578 | − | 0.754258i | \(-0.272003\pi\) |
−0.981496 | + | 0.191484i | \(0.938670\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.88601 | 0.270300 | ||||||||
\(650\) | 68.4794 | − | 67.6068i | 2.68598 | − | 2.65176i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.0244 | + | 17.3628i | 0.392587 | + | 0.679980i | ||||
\(653\) | −0.463954 | − | 0.803591i | −0.0181559 | − | 0.0314470i | 0.856805 | − | 0.515641i | \(-0.172446\pi\) |
−0.874961 | + | 0.484194i | \(0.839113\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −46.0189 | −1.79811 | ||||||||
\(656\) | 7.61505 | − | 13.1896i | 0.297318 | − | 0.514969i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −28.8209 | −1.12355 | ||||||||
\(659\) | 16.1284 | − | 27.9352i | 0.628273 | − | 1.08820i | −0.359625 | − | 0.933097i | \(-0.617095\pi\) |
0.987898 | − | 0.155104i | \(-0.0495713\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.4285 | + | 19.7947i | 0.444516 | + | 0.769923i | 0.998018 | − | 0.0629238i | \(-0.0200425\pi\) |
−0.553503 | + | 0.832847i | \(0.686709\pi\) | |||||||
\(662\) | −42.3892 | −1.64750 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −59.5830 | −2.31227 | ||||||||
\(665\) | −7.14576 | − | 12.3768i | −0.277101 | − | 0.479952i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 8.23105 | − | 14.2566i | 0.318707 | − | 0.552017i | ||||
\(668\) | −16.1989 | −0.626753 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −26.7356 | + | 46.3074i | −1.03289 | + | 1.78901i | ||||
\(671\) | 25.3871 | 0.980057 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.542845 | − | 0.940235i | −0.0209251 | − | 0.0362434i | 0.855373 | − | 0.518012i | \(-0.173328\pi\) |
−0.876298 | + | 0.481769i | \(0.839994\pi\) | |||||||
\(674\) | −9.00494 | − | 15.5970i | −0.346857 | − | 0.600774i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.608649 | − | 47.4603i | 0.0234096 | − | 1.82540i | ||||
\(677\) | 8.60730 | 0.330805 | 0.165403 | − | 0.986226i | \(-0.447108\pi\) | ||||
0.165403 | + | 0.986226i | \(0.447108\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.48585 | + | 4.30562i | 0.0953982 | + | 0.165235i | ||||
\(680\) | −2.98198 | + | 5.16494i | −0.114354 | + | 0.198066i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −24.6341 | + | 42.6676i | −0.943290 | + | 1.63383i | ||||
\(683\) | 16.7310 | − | 28.9790i | 0.640196 | − | 1.10885i | −0.345193 | − | 0.938532i | \(-0.612187\pi\) |
0.985389 | − | 0.170320i | \(-0.0544801\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.42740 | + | 11.1326i | −0.245578 | + | 0.425354i | ||||
\(686\) | 1.18860 | + | 2.05872i | 0.0453810 | + | 0.0786022i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −17.5470 | −0.668972 | ||||||||
\(689\) | −7.06299 | − | 27.0521i | −0.269079 | − | 1.03060i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.34609 | + | 4.06355i | 0.0892496 | + | 0.154585i | 0.907194 | − | 0.420712i | \(-0.138220\pi\) |
−0.817945 | + | 0.575297i | \(0.804886\pi\) | |||||||
\(692\) | 40.4539 | + | 70.0683i | 1.53783 | + | 2.66360i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −18.7517 | −0.711805 | ||||||||
\(695\) | −10.8305 | + | 18.7589i | −0.410824 | + | 0.711567i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.83235 | −0.107283 | ||||||||
\(698\) | 13.9469 | − | 24.1567i | 0.527897 | − | 0.914345i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.4957 | + | 35.4996i | 0.774666 | + | 1.34176i | ||||
\(701\) | −41.4535 | −1.56568 | −0.782839 | − | 0.622224i | \(-0.786229\pi\) | ||||
−0.782839 | + | 0.622224i | \(0.786229\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.2915 | −0.539015 | ||||||||
\(704\) | 18.4246 | + | 31.9123i | 0.694403 | + | 1.20274i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −14.9016 | + | 25.8104i | −0.560830 | + | 0.971386i | ||||
\(707\) | 5.89669 | 0.221768 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.92111 | + | 3.32746i | −0.0721488 | + | 0.124965i | −0.899843 | − | 0.436214i | \(-0.856319\pi\) |
0.827694 | + | 0.561180i | \(0.189652\pi\) | |||||||
\(710\) | −38.2301 | −1.43475 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 12.4791 | + | 21.6144i | 0.467672 | + | 0.810032i | ||||
\(713\) | 6.00347 | + | 10.3983i | 0.224832 | + | 0.389420i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 33.8383 | − | 33.4072i | 1.26548 | − | 1.24936i | ||||
\(716\) | 7.08489 | 0.264775 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −5.96395 | − | 10.3299i | −0.222573 | − | 0.385507i | ||||
\(719\) | 4.45609 | − | 7.71818i | 0.166184 | − | 0.287840i | −0.770891 | − | 0.636967i | \(-0.780189\pi\) |
0.937075 | + | 0.349128i | \(0.113522\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.28270 | − | 9.14991i | 0.196738 | − | 0.340760i | ||||
\(722\) | 7.62280 | − | 13.2031i | 0.283691 | − | 0.491367i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 15.5191 | − | 26.8798i | 0.576762 | − | 0.998981i | ||||
\(725\) | −48.7225 | − | 84.3898i | −1.80951 | − | 3.13416i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 29.6815 | 1.10083 | 0.550413 | − | 0.834892i | \(-0.314470\pi\) | ||||
0.550413 | + | 0.834892i | \(0.314470\pi\) | |||||||
\(728\) | 13.6458 | + | 3.75031i | 0.505745 | + | 0.138996i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −35.9154 | − | 62.2072i | −1.32929 | − | 2.30239i | ||||
\(731\) | 1.63161 | + | 2.82603i | 0.0603472 | + | 0.104524i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.30299 | 0.195870 | 0.0979352 | − | 0.995193i | \(-0.468776\pi\) | ||||
0.0979352 | + | 0.995193i | \(0.468776\pi\) | |||||||
\(734\) | −28.1815 | + | 48.8118i | −1.04020 | + | 1.80168i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 5.74373 | 0.211717 | ||||||||
\(737\) | −9.14042 | + | 15.8317i | −0.336692 | + | 0.583167i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.4572 | + | 18.1123i | 0.384673 | + | 0.666273i | 0.991724 | − | 0.128390i | \(-0.0409810\pi\) |
−0.607051 | + | 0.794663i | \(0.707648\pi\) | |||||||
\(740\) | 59.2469 | 2.17796 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 18.4338 | 0.676726 | ||||||||
\(743\) | −0.159244 | − | 0.275818i | −0.00584209 | − | 0.0101188i | 0.863090 | − | 0.505051i | \(-0.168526\pi\) |
−0.868932 | + | 0.494932i | \(0.835193\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.1985 | + | 34.9848i | −0.740015 | + | 1.28174i | ||||
\(746\) | −23.6610 | −0.866290 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.25441 | + | 3.90475i | −0.0824292 | + | 0.142772i | ||||
\(749\) | −12.4055 | −0.453287 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −19.7940 | − | 34.2843i | −0.722295 | − | 1.25105i | −0.960078 | − | 0.279733i | \(-0.909754\pi\) |
0.237783 | − | 0.971318i | \(-0.423579\pi\) | |||||||
\(752\) | −12.2954 | − | 21.2962i | −0.448367 | − | 0.776594i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −71.7324 | − | 19.7144i | −2.61234 | − | 0.717958i | ||||
\(755\) | −39.1367 | −1.42433 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.12667 | + | 8.87966i | 0.186332 | + | 0.322737i | 0.944025 | − | 0.329875i | \(-0.107007\pi\) |
−0.757693 | + | 0.652612i | \(0.773673\pi\) | |||||||
\(758\) | 33.1025 | − | 57.3352i | 1.20234 | − | 2.08251i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 28.0470 | − | 48.5788i | 1.01737 | − | 1.76214i | ||||
\(761\) | −8.73920 | + | 15.1367i | −0.316796 | + | 0.548706i | −0.979818 | − | 0.199894i | \(-0.935940\pi\) |
0.663022 | + | 0.748600i | \(0.269274\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.06580 | + | 10.5063i | −0.219597 | + | 0.380353i | ||||
\(764\) | 1.18860 | + | 2.05872i | 0.0430021 | + | 0.0744818i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 16.4132 | 0.593035 | ||||||||
\(767\) | −7.31246 | − | 2.00971i | −0.264038 | − | 0.0725663i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −18.0283 | − | 31.2259i | −0.650117 | − | 1.12604i | −0.983094 | − | 0.183101i | \(-0.941387\pi\) |
0.332977 | − | 0.942935i | \(-0.391947\pi\) | |||||||
\(770\) | 15.6755 | + | 27.1508i | 0.564906 | + | 0.978446i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 69.6057 | 2.50516 | ||||||||
\(773\) | −5.35918 | + | 9.28237i | −0.192756 | + | 0.333864i | −0.946163 | − | 0.323691i | \(-0.895076\pi\) |
0.753406 | + | 0.657555i | \(0.228409\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 71.0734 | 2.55303 | ||||||||
\(776\) | −9.75693 | + | 16.8995i | −0.350253 | + | 0.606657i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −33.7282 | − | 58.4190i | −1.20922 | − | 2.09442i | ||||
\(779\) | 26.6396 | 0.954463 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −13.0702 | −0.467688 | ||||||||
\(782\) | 0.850368 | + | 1.47288i | 0.0304091 | + | 0.0526701i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.01415 | + | 1.75656i | −0.0362196 | + | 0.0627341i | ||||
\(785\) | 70.8016 | 2.52702 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.47905 | − | 7.75795i | 0.159661 | − | 0.276541i | −0.775085 | − | 0.631856i | \(-0.782293\pi\) |
0.934746 | + | 0.355315i | \(0.115627\pi\) | |||||||
\(788\) | −90.2178 | −3.21388 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 5.56767 | + | 9.64348i | 0.198089 | + | 0.343100i | ||||
\(791\) | 5.33582 | + | 9.24191i | 0.189720 | + | 0.328605i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −26.9593 | − | 7.40931i | −0.957352 | − | 0.263112i | ||||
\(794\) | −11.3326 | −0.402179 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −23.9957 | − | 41.5618i | −0.850506 | − | 1.47312i | ||||
\(797\) | −18.0343 | + | 31.2363i | −0.638807 | + | 1.10645i | 0.346887 | + | 0.937907i | \(0.387239\pi\) |
−0.985695 | + | 0.168540i | \(0.946095\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.28658 | + | 3.96047i | −0.0808933 | + | 0.140111i | ||||
\(800\) | 16.9996 | − | 29.4442i | 0.601027 | − | 1.04101i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −9.82515 | + | 17.0177i | −0.346938 | + | 0.600914i | ||||
\(803\) | −12.2788 | − | 21.2676i | −0.433310 | − | 0.750516i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.64042 | 0.269289 | ||||||||
\(806\) | 38.6124 | − | 38.1204i | 1.36006 | − | 1.34273i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 11.5722 | + | 20.0436i | 0.407109 | + | 0.705133i | ||||
\(809\) | 23.7647 | + | 41.1616i | 0.835522 | + | 1.44717i | 0.893605 | + | 0.448854i | \(0.148168\pi\) |
−0.0580834 | + | 0.998312i | \(0.518499\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5.34678 | −0.187751 | −0.0938755 | − | 0.995584i | \(-0.529926\pi\) | ||||
−0.0938755 | + | 0.995584i | \(0.529926\pi\) | |||||||
\(812\) | 15.8446 | − | 27.4437i | 0.556038 | − | 0.963085i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 31.3510 | 1.09885 | ||||||||
\(815\) | 11.0601 | − | 19.1566i | 0.387417 | − | 0.671026i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −15.3461 | − | 26.5802i | −0.536892 | − | 0.929924i | ||||
\(818\) | 50.9525 | 1.78151 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −110.437 | −3.85664 | ||||||||
\(821\) | −10.9349 | − | 18.9397i | −0.381629 | − | 0.661001i | 0.609666 | − | 0.792658i | \(-0.291304\pi\) |
−0.991295 | + | 0.131657i | \(0.957970\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −11.4971 | + | 19.9135i | −0.400763 | + | 0.694142i | −0.993818 | − | 0.111020i | \(-0.964588\pi\) |
0.593055 | + | 0.805162i | \(0.297922\pi\) | |||||||
\(824\) | 41.4690 | 1.44464 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 2.50000 | − | 4.33013i | 0.0869861 | − | 0.150664i | ||||
\(827\) | −21.3425 | −0.742151 | −0.371075 | − | 0.928603i | \(-0.621011\pi\) | ||||
−0.371075 | + | 0.928603i | \(0.621011\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.7154 | − | 23.7558i | −0.476357 | − | 0.825074i | 0.523276 | − | 0.852163i | \(-0.324710\pi\) |
−0.999633 | + | 0.0270890i | \(0.991376\pi\) | |||||||
\(830\) | 72.6846 | + | 125.893i | 2.52292 | + | 4.36982i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −10.2519 | − | 39.2659i | −0.355420 | − | 1.36130i | ||||
\(833\) | 0.377203 | 0.0130693 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 8.93621 | + | 15.4780i | 0.309250 | + | 0.535637i | ||||
\(836\) | 21.2038 | − | 36.7261i | 0.733349 | − | 1.27020i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −2.72370 | + | 4.71758i | −0.0940885 | + | 0.162966i | ||||
\(839\) | −2.21584 | + | 3.83794i | −0.0764992 | + | 0.132500i | −0.901737 | − | 0.432285i | \(-0.857708\pi\) |
0.825238 | + | 0.564785i | \(0.191041\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.1659 | + | 40.1245i | −0.798824 | + | 1.38360i | ||||
\(842\) | −9.04873 | − | 15.6729i | −0.311840 | − | 0.540123i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −71.5491 | −2.46282 | ||||||||
\(845\) | −45.6839 | + | 25.6002i | −1.57157 | + | 0.880674i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.140820 | − | 0.243908i | −0.00483864 | − | 0.00838078i | ||||
\(848\) | 7.86412 | + | 13.6210i | 0.270055 | + | 0.467749i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 10.0673 | 0.345304 | ||||||||
\(851\) | 3.82021 | − | 6.61680i | 0.130955 | − | 0.226821i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 43.0040 | 1.47243 | 0.736215 | − | 0.676748i | \(-0.236611\pi\) | ||||
0.736215 | + | 0.676748i | \(0.236611\pi\) | |||||||
\(854\) | 9.21690 | − | 15.9641i | 0.315396 | − | 0.546281i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −24.3457 | − | 42.1680i | −0.832119 | − | 1.44127i | ||||
\(857\) | −0.866269 | −0.0295912 | −0.0147956 | − | 0.999891i | \(-0.504710\pi\) | ||||
−0.0147956 | + | 0.999891i | \(0.504710\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.3481 | −0.523671 | −0.261835 | − | 0.965113i | \(-0.584328\pi\) | ||||
−0.261835 | + | 0.965113i | \(0.584328\pi\) | |||||||
\(860\) | 63.6188 | + | 110.191i | 2.16938 | + | 3.75748i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.7975 | − | 42.9505i | 0.844607 | − | 1.46290i | ||||
\(863\) | 37.0275 | 1.26043 | 0.630215 | − | 0.776420i | \(-0.282967\pi\) | ||||
0.630215 | + | 0.776420i | \(0.282967\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 44.6333 | − | 77.3072i | 1.51758 | − | 2.62852i | ||||
\(866\) | −55.5704 | −1.88836 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 11.5566 | + | 20.0166i | 0.392256 | + | 0.679408i | ||||
\(869\) | 1.90349 | + | 3.29693i | 0.0645713 | + | 0.111841i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 14.3270 | − | 14.1445i | 0.485452 | − | 0.479266i | ||||
\(872\) | −47.6164 | −1.61249 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −7.99814 | − | 13.8532i | −0.270541 | − | 0.468591i | ||||
\(875\) | 12.5424 | − | 21.7242i | 0.424012 | − | 0.734410i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −11.5103 | + | 19.9364i | −0.388674 | + | 0.673204i | −0.992271 | − | 0.124086i | \(-0.960400\pi\) |
0.603597 | + | 0.797289i | \(0.293734\pi\) | |||||||
\(878\) | −10.8817 | + | 18.8477i | −0.367241 | + | 0.636080i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −13.3748 | + | 23.1658i | −0.450864 | + | 0.780919i | ||||
\(881\) | 19.0084 | + | 32.9235i | 0.640410 | + | 1.10922i | 0.985341 | + | 0.170594i | \(0.0545687\pi\) |
−0.344932 | + | 0.938628i | \(0.612098\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.95620 | −0.234095 | −0.117047 | − | 0.993126i | \(-0.537343\pi\) | ||||
−0.117047 | + | 0.993126i | \(0.537343\pi\) | |||||||
\(884\) | 3.53363 | − | 3.48861i | 0.118849 | − | 0.117335i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 13.3875 | + | 23.1878i | 0.449761 | + | 0.779009i | ||||
\(887\) | −12.9066 | − | 22.3548i | −0.433360 | − | 0.750601i | 0.563800 | − | 0.825911i | \(-0.309339\pi\) |
−0.997160 | + | 0.0753098i | \(0.976005\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.33048 | −0.245857 | ||||||||
\(890\) | 30.4461 | − | 52.7342i | 1.02055 | − | 1.76765i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −101.747 | −3.40675 | ||||||||
\(893\) | 21.5064 | − | 37.2502i | 0.719684 | − | 1.24653i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.90842 | − | 6.76959i | −0.130644 | − | 0.226282i | ||||
\(896\) | 20.6999 | 0.691536 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 80.3134 | 2.68009 | ||||||||
\(899\) | −27.4724 | − | 47.5835i | −0.916255 | − | 1.58700i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.46249 | − | 2.53311i | 0.0487227 | − | 0.0843901i | ||||
\(902\) | −58.4388 | −1.94580 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −20.9430 | + | 36.2744i | −0.696554 | + | 1.20647i | ||||
\(905\) | −34.2448 | −1.13834 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.29579 | + | 2.24437i | 0.0430260 | + | 0.0745231i | 0.886736 | − | 0.462275i | \(-0.152967\pi\) |
−0.843710 | + | 0.536799i | \(0.819634\pi\) | |||||||
\(908\) | 21.9621 | + | 38.0395i | 0.728838 | + | 1.26238i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −8.72223 | − | 33.4072i | −0.289139 | − | 1.10744i | ||||
\(911\) | −36.7507 | −1.21760 | −0.608802 | − | 0.793322i | \(-0.708350\pi\) | ||||
−0.608802 | + | 0.793322i | \(0.708350\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 24.8496 | + | 43.0407i | 0.822401 | + | 1.42444i | ||||
\(914\) | −40.7624 | + | 70.6026i | −1.34830 | + | 2.33533i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 16.7930 | − | 29.0863i | 0.554856 | − | 0.961038i | ||||
\(917\) | −5.71196 | + | 9.89341i | −0.188626 | + | 0.326709i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.58141 | − | 2.73909i | 0.0521660 | − | 0.0903542i | −0.838763 | − | 0.544496i | \(-0.816721\pi\) |
0.890929 | + | 0.454142i | \(0.150054\pi\) | |||||||
\(920\) | 14.9943 | + | 25.9708i | 0.494346 | + | 0.856233i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −45.9575 | −1.51353 | ||||||||
\(923\) | 13.8796 | + | 3.81458i | 0.456853 | + | 0.125558i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −22.6132 | − | 39.1672i | −0.743517 | − | 1.28781i | ||||
\(926\) | −7.48158 | − | 12.9585i | −0.245860 | − | 0.425842i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −26.2838 | −0.862807 | ||||||||
\(929\) | 19.7964 | − | 34.2885i | 0.649500 | − | 1.12497i | −0.333742 | − | 0.942664i | \(-0.608311\pi\) |
0.983242 | − | 0.182303i | \(-0.0583553\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −3.54778 | −0.116274 | ||||||||
\(932\) | −22.7321 | + | 39.3732i | −0.744615 | + | 1.28971i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 28.7990 | + | 49.8813i | 0.942331 | + | 1.63217i | ||||
\(935\) | 4.97463 | 0.162688 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.94553 | 0.0962263 | 0.0481131 | − | 0.998842i | \(-0.484679\pi\) | ||||
0.0481131 | + | 0.998842i | \(0.484679\pi\) | |||||||
\(938\) | 6.63695 | + | 11.4955i | 0.216704 | + | 0.375342i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −89.1570 | + | 154.424i | −2.90798 | + | 5.03677i | ||||
\(941\) | −20.9893 | −0.684232 | −0.342116 | − | 0.939658i | \(-0.611144\pi\) | ||||
−0.342116 | + | 0.939658i | \(0.611144\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.12094 | + | 12.3338i | −0.231890 | + | 0.401644i | ||||
\(944\) | 4.26614 | 0.138851 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 33.6644 | + | 58.3085i | 1.09453 | + | 1.89577i | ||||
\(947\) | −3.18367 | − | 5.51427i | −0.103455 | − | 0.179190i | 0.809651 | − | 0.586912i | \(-0.199657\pi\) |
−0.913106 | + | 0.407722i | \(0.866323\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.83224 | + | 26.1683i | 0.221784 | + | 0.849457i | ||||
\(950\) | −94.6877 | −3.07207 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.740258 | + | 1.28216i | 0.0239919 | + | 0.0415552i | ||||
\(953\) | 30.2268 | − | 52.3543i | 0.979141 | − | 1.69592i | 0.313610 | − | 0.949552i | \(-0.398461\pi\) |
0.665531 | − | 0.746370i | \(-0.268205\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.31140 | − | 2.27141i | 0.0424359 | − | 0.0735011i | ||||
\(956\) | −5.92498 | + | 10.2624i | −0.191628 | + | 0.331909i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −39.9724 | + | 69.2342i | −1.29145 | + | 2.23685i | ||||
\(959\) | 1.59556 | + | 2.76359i | 0.0515234 | + | 0.0892411i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.07502 | 0.292742 | ||||||||
\(962\) | −33.2926 | − | 9.14991i | −1.07340 | − | 0.295005i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −17.2077 | − | 29.8046i | −0.554222 | − | 0.959941i | ||||
\(965\) | −38.3984 | − | 66.5080i | −1.23609 | − | 2.14097i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 48.1719 | 1.54910 | 0.774552 | − | 0.632510i | \(-0.217975\pi\) | ||||
0.774552 | + | 0.632510i | \(0.217975\pi\) | |||||||
\(968\) | 0.552717 | − | 0.957335i | 0.0177650 | − | 0.0307699i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 47.6094 | 1.52865 | ||||||||
\(971\) | 8.98264 | − | 15.5584i | 0.288267 | − | 0.499292i | −0.685130 | − | 0.728421i | \(-0.740254\pi\) |
0.973396 | + | 0.229129i | \(0.0735877\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.68860 | + | 4.65679i | 0.0861926 | + | 0.149290i | ||||
\(974\) | −18.8393 | −0.603650 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 15.7282 | 0.503448 | ||||||||
\(977\) | −1.41336 | − | 2.44801i | −0.0452174 | − | 0.0783188i | 0.842531 | − | 0.538648i | \(-0.181065\pi\) |
−0.887748 | + | 0.460329i | \(0.847731\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 10.4090 | − | 18.0289i | 0.332672 | − | 0.576205i | ||||
\(980\) | 14.7077 | 0.469820 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 2.89029 | − | 5.00613i | 0.0922328 | − | 0.159752i | ||||
\(983\) | 29.8873 | 0.953258 | 0.476629 | − | 0.879105i | \(-0.341859\pi\) | ||||
0.476629 | + | 0.879105i | \(0.341859\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 49.7692 | + | 86.2028i | 1.58578 | + | 2.74665i | ||||
\(986\) | −3.89135 | − | 6.74002i | −0.123926 | − | 0.214646i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −33.2356 | + | 32.8121i | −1.05736 | + | 1.04389i | ||||
\(989\) | 16.4084 | 0.521757 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −18.4734 | − | 31.9969i | −0.586828 | − | 1.01642i | −0.994645 | − | 0.103352i | \(-0.967043\pi\) |
0.407817 | − | 0.913064i | \(-0.366290\pi\) | |||||||
\(992\) | 9.58529 | − | 16.6022i | 0.304333 | − | 0.527121i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −4.74519 | + | 8.21892i | −0.150508 | + | 0.260688i | ||||
\(995\) | −26.4748 | + | 45.8557i | −0.839307 | + | 1.45372i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.35878 | + | 9.28168i | −0.169714 | + | 0.293954i | −0.938319 | − | 0.345770i | \(-0.887618\pi\) |
0.768605 | + | 0.639724i | \(0.220951\pi\) | |||||||
\(998\) | 22.0888 | + | 38.2589i | 0.699208 | + | 1.21106i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.o.d.757.1 | 6 | ||
3.2 | odd | 2 | 273.2.k.d.211.3 | yes | 6 | ||
13.9 | even | 3 | inner | 819.2.o.d.568.1 | 6 | ||
39.23 | odd | 6 | 3549.2.a.s.1.3 | 3 | |||
39.29 | odd | 6 | 3549.2.a.h.1.1 | 3 | |||
39.35 | odd | 6 | 273.2.k.d.22.3 | ✓ | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.k.d.22.3 | ✓ | 6 | 39.35 | odd | 6 | ||
273.2.k.d.211.3 | yes | 6 | 3.2 | odd | 2 | ||
819.2.o.d.568.1 | 6 | 13.9 | even | 3 | inner | ||
819.2.o.d.757.1 | 6 | 1.1 | even | 1 | trivial | ||
3549.2.a.h.1.1 | 3 | 39.29 | odd | 6 | |||
3549.2.a.s.1.3 | 3 | 39.23 | odd | 6 |