Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [65,2,Mod(14,65)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(65, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("65.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 65 = 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 65.b (of order \(2\), degree \(1\), 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: | \(0.519027613138\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.350464.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 2x^{5} + 2x^{4} + 2x^{3} + 4x^{2} - 4x + 2 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 14.3 | ||
Root | \(1.45161 + 1.45161i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 65.14 |
Dual form | 65.2.b.a.14.4 |
$q$-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 \(\left(\mathbb{Z}/65\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.21432i | − | 0.858654i | −0.903149 | − | 0.429327i | \(-0.858751\pi\) | ||
0.903149 | − | 0.429327i | \(-0.141249\pi\) | |||||||
\(3\) | − | 1.31111i | − | 0.756968i | −0.925608 | − | 0.378484i | \(-0.876445\pi\) | ||
0.925608 | − | 0.378484i | \(-0.123555\pi\) | |||||||
\(4\) | 0.525428 | 0.262714 | ||||||||
\(5\) | −2.21432 | + | 0.311108i | −0.990274 | + | 0.139132i | ||||
\(6\) | −1.59210 | −0.649974 | ||||||||
\(7\) | 2.90321i | 1.09731i | 0.836049 | + | 0.548655i | \(0.184860\pi\) | ||||
−0.836049 | + | 0.548655i | \(0.815140\pi\) | |||||||
\(8\) | − | 3.06668i | − | 1.08423i | ||||||
\(9\) | 1.28100 | 0.426999 | ||||||||
\(10\) | 0.377784 | + | 2.68889i | 0.119466 | + | 0.850302i | ||||
\(11\) | 0.214320 | 0.0646198 | 0.0323099 | − | 0.999478i | \(-0.489714\pi\) | ||||
0.0323099 | + | 0.999478i | \(0.489714\pi\) | |||||||
\(12\) | − | 0.688892i | − | 0.198866i | ||||||
\(13\) | 1.00000i | 0.277350i | ||||||||
\(14\) | 3.52543 | 0.942210 | ||||||||
\(15\) | 0.407896 | + | 2.90321i | 0.105318 | + | 0.749606i | ||||
\(16\) | −2.67307 | −0.668268 | ||||||||
\(17\) | 6.42864i | 1.55917i | 0.626294 | + | 0.779587i | \(0.284571\pi\) | ||||
−0.626294 | + | 0.779587i | \(0.715429\pi\) | |||||||
\(18\) | − | 1.55554i | − | 0.366644i | ||||||
\(19\) | −2.21432 | −0.508000 | −0.254000 | − | 0.967204i | \(-0.581746\pi\) | ||||
−0.254000 | + | 0.967204i | \(0.581746\pi\) | |||||||
\(20\) | −1.16346 | + | 0.163465i | −0.260159 | + | 0.0365518i | ||||
\(21\) | 3.80642 | 0.830630 | ||||||||
\(22\) | − | 0.260253i | − | 0.0554861i | ||||||
\(23\) | − | 4.68889i | − | 0.977702i | −0.872367 | − | 0.488851i | \(-0.837416\pi\) | ||
0.872367 | − | 0.488851i | \(-0.162584\pi\) | |||||||
\(24\) | −4.02074 | −0.820731 | ||||||||
\(25\) | 4.80642 | − | 1.37778i | 0.961285 | − | 0.275557i | ||||
\(26\) | 1.21432 | 0.238148 | ||||||||
\(27\) | − | 5.61285i | − | 1.08019i | ||||||
\(28\) | 1.52543i | 0.288279i | ||||||||
\(29\) | −8.70964 | −1.61734 | −0.808669 | − | 0.588263i | \(-0.799812\pi\) | ||||
−0.808669 | + | 0.588263i | \(0.799812\pi\) | |||||||
\(30\) | 3.52543 | − | 0.495316i | 0.643652 | − | 0.0904319i | ||||
\(31\) | −5.59210 | −1.00437 | −0.502186 | − | 0.864760i | \(-0.667471\pi\) | ||||
−0.502186 | + | 0.864760i | \(0.667471\pi\) | |||||||
\(32\) | − | 2.88739i | − | 0.510423i | ||||||
\(33\) | − | 0.280996i | − | 0.0489152i | ||||||
\(34\) | 7.80642 | 1.33879 | ||||||||
\(35\) | −0.903212 | − | 6.42864i | −0.152671 | − | 1.08664i | ||||
\(36\) | 0.673071 | 0.112178 | ||||||||
\(37\) | 2.28100i | 0.374993i | 0.982265 | + | 0.187497i | \(0.0600374\pi\) | ||||
−0.982265 | + | 0.187497i | \(0.939963\pi\) | |||||||
\(38\) | 2.68889i | 0.436196i | ||||||||
\(39\) | 1.31111 | 0.209945 | ||||||||
\(40\) | 0.954067 | + | 6.79060i | 0.150851 | + | 1.07369i | ||||
\(41\) | 3.05086 | 0.476464 | 0.238232 | − | 0.971208i | \(-0.423432\pi\) | ||||
0.238232 | + | 0.971208i | \(0.423432\pi\) | |||||||
\(42\) | − | 4.62222i | − | 0.713223i | ||||||
\(43\) | − | 6.36196i | − | 0.970190i | −0.874461 | − | 0.485095i | \(-0.838785\pi\) | ||
0.874461 | − | 0.485095i | \(-0.161215\pi\) | |||||||
\(44\) | 0.112610 | 0.0169765 | ||||||||
\(45\) | −2.83654 | + | 0.398528i | −0.422846 | + | 0.0594090i | ||||
\(46\) | −5.69381 | −0.839507 | ||||||||
\(47\) | 1.09679i | 0.159983i | 0.996796 | + | 0.0799915i | \(0.0254893\pi\) | ||||
−0.996796 | + | 0.0799915i | \(0.974511\pi\) | |||||||
\(48\) | 3.50468i | 0.505858i | ||||||||
\(49\) | −1.42864 | −0.204091 | ||||||||
\(50\) | −1.67307 | − | 5.83654i | −0.236608 | − | 0.825411i | ||||
\(51\) | 8.42864 | 1.18025 | ||||||||
\(52\) | 0.525428i | 0.0728637i | ||||||||
\(53\) | 6.23506i | 0.856452i | 0.903672 | + | 0.428226i | \(0.140861\pi\) | ||||
−0.903672 | + | 0.428226i | \(0.859139\pi\) | |||||||
\(54\) | −6.81579 | −0.927512 | ||||||||
\(55\) | −0.474572 | + | 0.0666765i | −0.0639913 | + | 0.00899066i | ||||
\(56\) | 8.90321 | 1.18974 | ||||||||
\(57\) | 2.90321i | 0.384540i | ||||||||
\(58\) | 10.5763i | 1.38873i | ||||||||
\(59\) | 9.26517 | 1.20622 | 0.603112 | − | 0.797657i | \(-0.293927\pi\) | ||||
0.603112 | + | 0.797657i | \(0.293927\pi\) | |||||||
\(60\) | 0.214320 | + | 1.52543i | 0.0276686 | + | 0.196932i | ||||
\(61\) | −0.280996 | −0.0359779 | −0.0179889 | − | 0.999838i | \(-0.505726\pi\) | ||||
−0.0179889 | + | 0.999838i | \(0.505726\pi\) | |||||||
\(62\) | 6.79060i | 0.862407i | ||||||||
\(63\) | 3.71900i | 0.468550i | ||||||||
\(64\) | −8.85236 | −1.10654 | ||||||||
\(65\) | −0.311108 | − | 2.21432i | −0.0385882 | − | 0.274653i | ||||
\(66\) | −0.341219 | −0.0420012 | ||||||||
\(67\) | − | 7.76049i | − | 0.948095i | −0.880499 | − | 0.474047i | \(-0.842793\pi\) | ||
0.880499 | − | 0.474047i | \(-0.157207\pi\) | |||||||
\(68\) | 3.37778i | 0.409617i | ||||||||
\(69\) | −6.14764 | −0.740089 | ||||||||
\(70\) | −7.80642 | + | 1.09679i | −0.933046 | + | 0.131091i | ||||
\(71\) | −6.08097 | −0.721678 | −0.360839 | − | 0.932628i | \(-0.617510\pi\) | ||||
−0.360839 | + | 0.932628i | \(0.617510\pi\) | |||||||
\(72\) | − | 3.92840i | − | 0.462967i | ||||||
\(73\) | 10.2810i | 1.20330i | 0.798760 | + | 0.601650i | \(0.205490\pi\) | ||||
−0.798760 | + | 0.601650i | \(0.794510\pi\) | |||||||
\(74\) | 2.76986 | 0.321990 | ||||||||
\(75\) | −1.80642 | − | 6.30174i | −0.208588 | − | 0.727662i | ||||
\(76\) | −1.16346 | −0.133459 | ||||||||
\(77\) | 0.622216i | 0.0709081i | ||||||||
\(78\) | − | 1.59210i | − | 0.180270i | ||||||
\(79\) | 14.2351 | 1.60157 | 0.800785 | − | 0.598952i | \(-0.204416\pi\) | ||||
0.800785 | + | 0.598952i | \(0.204416\pi\) | |||||||
\(80\) | 5.91903 | − | 0.831613i | 0.661768 | − | 0.0929772i | ||||
\(81\) | −3.51606 | −0.390673 | ||||||||
\(82\) | − | 3.70471i | − | 0.409117i | ||||||
\(83\) | − | 9.52543i | − | 1.04555i | −0.852470 | − | 0.522776i | \(-0.824897\pi\) | ||
0.852470 | − | 0.522776i | \(-0.175103\pi\) | |||||||
\(84\) | 2.00000 | 0.218218 | ||||||||
\(85\) | −2.00000 | − | 14.2351i | −0.216930 | − | 1.54401i | ||||
\(86\) | −7.72546 | −0.833057 | ||||||||
\(87\) | 11.4193i | 1.22427i | ||||||||
\(88\) | − | 0.657249i | − | 0.0700630i | ||||||
\(89\) | 5.61285 | 0.594961 | 0.297480 | − | 0.954728i | \(-0.403854\pi\) | ||||
0.297480 | + | 0.954728i | \(0.403854\pi\) | |||||||
\(90\) | 0.483940 | + | 3.44446i | 0.0510118 | + | 0.363078i | ||||
\(91\) | −2.90321 | −0.304339 | ||||||||
\(92\) | − | 2.46367i | − | 0.256856i | ||||||
\(93\) | 7.33185i | 0.760278i | ||||||||
\(94\) | 1.33185 | 0.137370 | ||||||||
\(95\) | 4.90321 | − | 0.688892i | 0.503059 | − | 0.0706788i | ||||
\(96\) | −3.78568 | −0.386374 | ||||||||
\(97\) | − | 18.0415i | − | 1.83184i | −0.401366 | − | 0.915918i | \(-0.631464\pi\) | ||
0.401366 | − | 0.915918i | \(-0.368536\pi\) | |||||||
\(98\) | 1.73483i | 0.175244i | ||||||||
\(99\) | 0.274543 | 0.0275926 | ||||||||
\(100\) | 2.52543 | − | 0.723926i | 0.252543 | − | 0.0723926i | ||||
\(101\) | 3.93978 | 0.392022 | 0.196011 | − | 0.980602i | \(-0.437201\pi\) | ||||
0.196011 | + | 0.980602i | \(0.437201\pi\) | |||||||
\(102\) | − | 10.2351i | − | 1.01342i | ||||||
\(103\) | − | 2.82225i | − | 0.278084i | −0.990286 | − | 0.139042i | \(-0.955598\pi\) | ||
0.990286 | − | 0.139042i | \(-0.0444023\pi\) | |||||||
\(104\) | 3.06668 | 0.300712 | ||||||||
\(105\) | −8.42864 | + | 1.18421i | −0.822551 | + | 0.115567i | ||||
\(106\) | 7.57136 | 0.735396 | ||||||||
\(107\) | 17.1175i | 1.65481i | 0.561603 | + | 0.827407i | \(0.310185\pi\) | ||||
−0.561603 | + | 0.827407i | \(0.689815\pi\) | |||||||
\(108\) | − | 2.94914i | − | 0.283782i | ||||||
\(109\) | 16.7239 | 1.60186 | 0.800931 | − | 0.598757i | \(-0.204338\pi\) | ||||
0.800931 | + | 0.598757i | \(0.204338\pi\) | |||||||
\(110\) | 0.0809666 | + | 0.576283i | 0.00771987 | + | 0.0549464i | ||||
\(111\) | 2.99063 | 0.283858 | ||||||||
\(112\) | − | 7.76049i | − | 0.733297i | ||||||
\(113\) | − | 1.18421i | − | 0.111401i | −0.998448 | − | 0.0557005i | \(-0.982261\pi\) | ||
0.998448 | − | 0.0557005i | \(-0.0177392\pi\) | |||||||
\(114\) | 3.52543 | 0.330187 | ||||||||
\(115\) | 1.45875 | + | 10.3827i | 0.136029 | + | 0.968192i | ||||
\(116\) | −4.57628 | −0.424897 | ||||||||
\(117\) | 1.28100i | 0.118428i | ||||||||
\(118\) | − | 11.2509i | − | 1.03573i | ||||||
\(119\) | −18.6637 | −1.71090 | ||||||||
\(120\) | 8.90321 | − | 1.25088i | 0.812748 | − | 0.114190i | ||||
\(121\) | −10.9541 | −0.995824 | ||||||||
\(122\) | 0.341219i | 0.0308925i | ||||||||
\(123\) | − | 4.00000i | − | 0.360668i | ||||||
\(124\) | −2.93825 | −0.263862 | ||||||||
\(125\) | −10.2143 | + | 4.54617i | −0.913597 | + | 0.406622i | ||||
\(126\) | 4.51606 | 0.402323 | ||||||||
\(127\) | 2.30174i | 0.204246i | 0.994772 | + | 0.102123i | \(0.0325636\pi\) | ||||
−0.994772 | + | 0.102123i | \(0.967436\pi\) | |||||||
\(128\) | 4.97481i | 0.439715i | ||||||||
\(129\) | −8.34122 | −0.734403 | ||||||||
\(130\) | −2.68889 | + | 0.377784i | −0.235831 | + | 0.0331339i | ||||
\(131\) | −13.4193 | −1.17245 | −0.586224 | − | 0.810149i | \(-0.699386\pi\) | ||||
−0.586224 | + | 0.810149i | \(0.699386\pi\) | |||||||
\(132\) | − | 0.147643i | − | 0.0128507i | ||||||
\(133\) | − | 6.42864i | − | 0.557434i | ||||||
\(134\) | −9.42372 | −0.814085 | ||||||||
\(135\) | 1.74620 | + | 12.4286i | 0.150289 | + | 1.06969i | ||||
\(136\) | 19.7146 | 1.69051 | ||||||||
\(137\) | 19.1526i | 1.63631i | 0.574995 | + | 0.818157i | \(0.305004\pi\) | ||||
−0.574995 | + | 0.818157i | \(0.694996\pi\) | |||||||
\(138\) | 7.46520i | 0.635480i | ||||||||
\(139\) | −19.0923 | −1.61939 | −0.809696 | − | 0.586850i | \(-0.800368\pi\) | ||||
−0.809696 | + | 0.586850i | \(0.800368\pi\) | |||||||
\(140\) | −0.474572 | − | 3.37778i | −0.0401087 | − | 0.285475i | ||||
\(141\) | 1.43801 | 0.121102 | ||||||||
\(142\) | 7.38424i | 0.619671i | ||||||||
\(143\) | 0.214320i | 0.0179223i | ||||||||
\(144\) | −3.42419 | −0.285349 | ||||||||
\(145\) | 19.2859 | − | 2.70964i | 1.60161 | − | 0.225023i | ||||
\(146\) | 12.4844 | 1.03322 | ||||||||
\(147\) | 1.87310i | 0.154491i | ||||||||
\(148\) | 1.19850i | 0.0985160i | ||||||||
\(149\) | 3.57136 | 0.292577 | 0.146289 | − | 0.989242i | \(-0.453267\pi\) | ||||
0.146289 | + | 0.989242i | \(0.453267\pi\) | |||||||
\(150\) | −7.65233 | + | 2.19358i | −0.624810 | + | 0.179105i | ||||
\(151\) | −1.26517 | −0.102958 | −0.0514792 | − | 0.998674i | \(-0.516394\pi\) | ||||
−0.0514792 | + | 0.998674i | \(0.516394\pi\) | |||||||
\(152\) | 6.79060i | 0.550791i | ||||||||
\(153\) | 8.23506i | 0.665765i | ||||||||
\(154\) | 0.755569 | 0.0608855 | ||||||||
\(155\) | 12.3827 | − | 1.73975i | 0.994603 | − | 0.139740i | ||||
\(156\) | 0.688892 | 0.0551555 | ||||||||
\(157\) | − | 5.61285i | − | 0.447954i | −0.974594 | − | 0.223977i | \(-0.928096\pi\) | ||
0.974594 | − | 0.223977i | \(-0.0719041\pi\) | |||||||
\(158\) | − | 17.2859i | − | 1.37519i | ||||||
\(159\) | 8.17484 | 0.648307 | ||||||||
\(160\) | 0.898290 | + | 6.39361i | 0.0710160 | + | 0.505459i | ||||
\(161\) | 13.6128 | 1.07284 | ||||||||
\(162\) | 4.26962i | 0.335453i | ||||||||
\(163\) | − | 3.71900i | − | 0.291295i | −0.989337 | − | 0.145647i | \(-0.953473\pi\) | ||
0.989337 | − | 0.145647i | \(-0.0465265\pi\) | |||||||
\(164\) | 1.60300 | 0.125174 | ||||||||
\(165\) | 0.0874201 | + | 0.622216i | 0.00680565 | + | 0.0484394i | ||||
\(166\) | −11.5669 | −0.897767 | ||||||||
\(167\) | − | 7.03657i | − | 0.544506i | −0.962226 | − | 0.272253i | \(-0.912231\pi\) | ||
0.962226 | − | 0.272253i | \(-0.0877687\pi\) | |||||||
\(168\) | − | 11.6731i | − | 0.900597i | ||||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −17.2859 | + | 2.42864i | −1.32577 | + | 0.186268i | ||||
\(171\) | −2.83654 | −0.216915 | ||||||||
\(172\) | − | 3.34275i | − | 0.254882i | ||||||
\(173\) | − | 0.723926i | − | 0.0550391i | −0.999621 | − | 0.0275195i | \(-0.991239\pi\) | ||
0.999621 | − | 0.0275195i | \(-0.00876085\pi\) | |||||||
\(174\) | 13.8666 | 1.05123 | ||||||||
\(175\) | 4.00000 | + | 13.9541i | 0.302372 | + | 1.05483i | ||||
\(176\) | −0.572892 | −0.0431833 | ||||||||
\(177\) | − | 12.1476i | − | 0.913073i | ||||||
\(178\) | − | 6.81579i | − | 0.510865i | ||||||
\(179\) | 4.04149 | 0.302075 | 0.151037 | − | 0.988528i | \(-0.451739\pi\) | ||||
0.151037 | + | 0.988528i | \(0.451739\pi\) | |||||||
\(180\) | −1.49039 | + | 0.209398i | −0.111087 | + | 0.0156076i | ||||
\(181\) | 2.34122 | 0.174021 | 0.0870107 | − | 0.996207i | \(-0.472269\pi\) | ||||
0.0870107 | + | 0.996207i | \(0.472269\pi\) | |||||||
\(182\) | 3.52543i | 0.261322i | ||||||||
\(183\) | 0.368416i | 0.0272341i | ||||||||
\(184\) | −14.3793 | −1.06006 | ||||||||
\(185\) | −0.709636 | − | 5.05086i | −0.0521735 | − | 0.371346i | ||||
\(186\) | 8.90321 | 0.652815 | ||||||||
\(187\) | 1.37778i | 0.100754i | ||||||||
\(188\) | 0.576283i | 0.0420297i | ||||||||
\(189\) | 16.2953 | 1.18531 | ||||||||
\(190\) | −0.836535 | − | 5.95407i | −0.0606887 | − | 0.431953i | ||||
\(191\) | −2.10171 | −0.152074 | −0.0760372 | − | 0.997105i | \(-0.524227\pi\) | ||||
−0.0760372 | + | 0.997105i | \(0.524227\pi\) | |||||||
\(192\) | 11.6064i | 0.837619i | ||||||||
\(193\) | − | 13.5210i | − | 0.973262i | −0.873608 | − | 0.486631i | \(-0.838226\pi\) | ||
0.873608 | − | 0.486631i | \(-0.161774\pi\) | |||||||
\(194\) | −21.9081 | −1.57291 | ||||||||
\(195\) | −2.90321 | + | 0.407896i | −0.207903 | + | 0.0292100i | ||||
\(196\) | −0.750647 | −0.0536176 | ||||||||
\(197\) | 2.00000i | 0.142494i | 0.997459 | + | 0.0712470i | \(0.0226979\pi\) | ||||
−0.997459 | + | 0.0712470i | \(0.977302\pi\) | |||||||
\(198\) | − | 0.333383i | − | 0.0236925i | ||||||
\(199\) | −22.1432 | −1.56969 | −0.784845 | − | 0.619692i | \(-0.787257\pi\) | ||||
−0.784845 | + | 0.619692i | \(0.787257\pi\) | |||||||
\(200\) | −4.22522 | − | 14.7397i | −0.298768 | − | 1.04226i | ||||
\(201\) | −10.1748 | −0.717678 | ||||||||
\(202\) | − | 4.78415i | − | 0.336612i | ||||||
\(203\) | − | 25.2859i | − | 1.77472i | ||||||
\(204\) | 4.42864 | 0.310067 | ||||||||
\(205\) | −6.75557 | + | 0.949145i | −0.471829 | + | 0.0662912i | ||||
\(206\) | −3.42711 | −0.238778 | ||||||||
\(207\) | − | 6.00645i | − | 0.417477i | ||||||
\(208\) | − | 2.67307i | − | 0.185344i | ||||||
\(209\) | −0.474572 | −0.0328269 | ||||||||
\(210\) | 1.43801 | + | 10.2351i | 0.0992319 | + | 0.706286i | ||||
\(211\) | 19.6543 | 1.35306 | 0.676530 | − | 0.736415i | \(-0.263483\pi\) | ||||
0.676530 | + | 0.736415i | \(0.263483\pi\) | |||||||
\(212\) | 3.27607i | 0.225002i | ||||||||
\(213\) | 7.97280i | 0.546287i | ||||||||
\(214\) | 20.7862 | 1.42091 | ||||||||
\(215\) | 1.97926 | + | 14.0874i | 0.134984 | + | 0.960754i | ||||
\(216\) | −17.2128 | −1.17118 | ||||||||
\(217\) | − | 16.2351i | − | 1.10211i | ||||||
\(218\) | − | 20.3082i | − | 1.37544i | ||||||
\(219\) | 13.4795 | 0.910860 | ||||||||
\(220\) | −0.249353 | + | 0.0350337i | −0.0168114 | + | 0.00236197i | ||||
\(221\) | −6.42864 | −0.432437 | ||||||||
\(222\) | − | 3.63158i | − | 0.243736i | ||||||
\(223\) | 19.6686i | 1.31711i | 0.752533 | + | 0.658554i | \(0.228832\pi\) | ||||
−0.752533 | + | 0.658554i | \(0.771168\pi\) | |||||||
\(224\) | 8.38271 | 0.560093 | ||||||||
\(225\) | 6.15701 | − | 1.76494i | 0.410467 | − | 0.117662i | ||||
\(226\) | −1.43801 | −0.0956548 | ||||||||
\(227\) | 13.2716i | 0.880869i | 0.897785 | + | 0.440434i | \(0.145176\pi\) | ||||
−0.897785 | + | 0.440434i | \(0.854824\pi\) | |||||||
\(228\) | 1.52543i | 0.101024i | ||||||||
\(229\) | 2.42864 | 0.160489 | 0.0802445 | − | 0.996775i | \(-0.474430\pi\) | ||||
0.0802445 | + | 0.996775i | \(0.474430\pi\) | |||||||
\(230\) | 12.6079 | − | 1.77139i | 0.831342 | − | 0.116802i | ||||
\(231\) | 0.815792 | 0.0536752 | ||||||||
\(232\) | 26.7096i | 1.75357i | ||||||||
\(233\) | 16.1748i | 1.05965i | 0.848107 | + | 0.529825i | \(0.177742\pi\) | ||||
−0.848107 | + | 0.529825i | \(0.822258\pi\) | |||||||
\(234\) | 1.55554 | 0.101689 | ||||||||
\(235\) | −0.341219 | − | 2.42864i | −0.0222587 | − | 0.158427i | ||||
\(236\) | 4.86818 | 0.316891 | ||||||||
\(237\) | − | 18.6637i | − | 1.21234i | ||||||
\(238\) | 22.6637i | 1.46907i | ||||||||
\(239\) | 12.7763 | 0.826431 | 0.413215 | − | 0.910633i | \(-0.364406\pi\) | ||||
0.413215 | + | 0.910633i | \(0.364406\pi\) | |||||||
\(240\) | −1.09033 | − | 7.76049i | −0.0703808 | − | 0.500938i | ||||
\(241\) | −5.89829 | −0.379942 | −0.189971 | − | 0.981790i | \(-0.560839\pi\) | ||||
−0.189971 | + | 0.981790i | \(0.560839\pi\) | |||||||
\(242\) | 13.3017i | 0.855068i | ||||||||
\(243\) | − | 12.2286i | − | 0.784466i | ||||||
\(244\) | −0.147643 | −0.00945189 | ||||||||
\(245\) | 3.16346 | − | 0.444461i | 0.202106 | − | 0.0283956i | ||||
\(246\) | −4.85728 | −0.309689 | ||||||||
\(247\) | − | 2.21432i | − | 0.140894i | ||||||
\(248\) | 17.1492i | 1.08897i | ||||||||
\(249\) | −12.4889 | −0.791450 | ||||||||
\(250\) | 5.52051 | + | 12.4035i | 0.349147 | + | 0.784463i | ||||
\(251\) | −2.07313 | −0.130855 | −0.0654274 | − | 0.997857i | \(-0.520841\pi\) | ||||
−0.0654274 | + | 0.997857i | \(0.520841\pi\) | |||||||
\(252\) | 1.95407i | 0.123095i | ||||||||
\(253\) | − | 1.00492i | − | 0.0631789i | ||||||
\(254\) | 2.79505 | 0.175377 | ||||||||
\(255\) | −18.6637 | + | 2.62222i | −1.16877 | + | 0.164210i | ||||
\(256\) | −11.6637 | −0.728981 | ||||||||
\(257\) | − | 18.3970i | − | 1.14757i | −0.819005 | − | 0.573787i | \(-0.805474\pi\) | ||
0.819005 | − | 0.573787i | \(-0.194526\pi\) | |||||||
\(258\) | 10.1289i | 0.630598i | ||||||||
\(259\) | −6.62222 | −0.411484 | ||||||||
\(260\) | −0.163465 | − | 1.16346i | −0.0101376 | − | 0.0721550i | ||||
\(261\) | −11.1570 | −0.690602 | ||||||||
\(262\) | 16.2953i | 1.00673i | ||||||||
\(263\) | 11.0257i | 0.679872i | 0.940449 | + | 0.339936i | \(0.110405\pi\) | ||||
−0.940449 | + | 0.339936i | \(0.889595\pi\) | |||||||
\(264\) | −0.861725 | −0.0530355 | ||||||||
\(265\) | −1.93978 | − | 13.8064i | −0.119160 | − | 0.848122i | ||||
\(266\) | −7.80642 | −0.478643 | ||||||||
\(267\) | − | 7.35905i | − | 0.450366i | ||||||
\(268\) | − | 4.07758i | − | 0.249078i | ||||||
\(269\) | 16.1432 | 0.984268 | 0.492134 | − | 0.870519i | \(-0.336217\pi\) | ||||
0.492134 | + | 0.870519i | \(0.336217\pi\) | |||||||
\(270\) | 15.0923 | − | 2.12045i | 0.918491 | − | 0.129046i | ||||
\(271\) | 13.0114 | 0.790385 | 0.395192 | − | 0.918598i | \(-0.370678\pi\) | ||||
0.395192 | + | 0.918598i | \(0.370678\pi\) | |||||||
\(272\) | − | 17.1842i | − | 1.04195i | ||||||
\(273\) | 3.80642i | 0.230375i | ||||||||
\(274\) | 23.2573 | 1.40503 | ||||||||
\(275\) | 1.03011 | − | 0.295286i | 0.0621181 | − | 0.0178064i | ||||
\(276\) | −3.23014 | −0.194432 | ||||||||
\(277\) | − | 7.57136i | − | 0.454919i | −0.973788 | − | 0.227459i | \(-0.926958\pi\) | ||
0.973788 | − | 0.227459i | \(-0.0730419\pi\) | |||||||
\(278\) | 23.1842i | 1.39050i | ||||||||
\(279\) | −7.16346 | −0.428865 | ||||||||
\(280\) | −19.7146 | + | 2.76986i | −1.17817 | + | 0.165531i | ||||
\(281\) | 6.75557 | 0.403003 | 0.201502 | − | 0.979488i | \(-0.435418\pi\) | ||||
0.201502 | + | 0.979488i | \(0.435418\pi\) | |||||||
\(282\) | − | 1.74620i | − | 0.103985i | ||||||
\(283\) | 19.0859i | 1.13454i | 0.823532 | + | 0.567269i | \(0.192000\pi\) | ||||
−0.823532 | + | 0.567269i | \(0.808000\pi\) | |||||||
\(284\) | −3.19511 | −0.189595 | ||||||||
\(285\) | −0.903212 | − | 6.42864i | −0.0535017 | − | 0.380800i | ||||
\(286\) | 0.260253 | 0.0153891 | ||||||||
\(287\) | 8.85728i | 0.522829i | ||||||||
\(288\) | − | 3.69874i | − | 0.217950i | ||||||
\(289\) | −24.3274 | −1.43102 | ||||||||
\(290\) | −3.29036 | − | 23.4193i | −0.193217 | − | 1.37523i | ||||
\(291\) | −23.6543 | −1.38664 | ||||||||
\(292\) | 5.40192i | 0.316123i | ||||||||
\(293\) | − | 8.08742i | − | 0.472472i | −0.971696 | − | 0.236236i | \(-0.924086\pi\) | ||
0.971696 | − | 0.236236i | \(-0.0759139\pi\) | |||||||
\(294\) | 2.27454 | 0.132654 | ||||||||
\(295\) | −20.5161 | + | 2.88247i | −1.19449 | + | 0.167824i | ||||
\(296\) | 6.99508 | 0.406581 | ||||||||
\(297\) | − | 1.20294i | − | 0.0698019i | ||||||
\(298\) | − | 4.33677i | − | 0.251223i | ||||||
\(299\) | 4.68889 | 0.271166 | ||||||||
\(300\) | −0.949145 | − | 3.31111i | −0.0547989 | − | 0.191167i | ||||
\(301\) | 18.4701 | 1.06460 | ||||||||
\(302\) | 1.53633i | 0.0884057i | ||||||||
\(303\) | − | 5.16547i | − | 0.296749i | ||||||
\(304\) | 5.91903 | 0.339480 | ||||||||
\(305\) | 0.622216 | − | 0.0874201i | 0.0356280 | − | 0.00500566i | ||||
\(306\) | 10.0000 | 0.571662 | ||||||||
\(307\) | 13.4336i | 0.766694i | 0.923604 | + | 0.383347i | \(0.125229\pi\) | ||||
−0.923604 | + | 0.383347i | \(0.874771\pi\) | |||||||
\(308\) | 0.326929i | 0.0186285i | ||||||||
\(309\) | −3.70027 | −0.210501 | ||||||||
\(310\) | −2.11261 | − | 15.0366i | −0.119988 | − | 0.854020i | ||||
\(311\) | 20.2034 | 1.14563 | 0.572815 | − | 0.819684i | \(-0.305851\pi\) | ||||
0.572815 | + | 0.819684i | \(0.305851\pi\) | |||||||
\(312\) | − | 4.02074i | − | 0.227630i | ||||||
\(313\) | 15.1111i | 0.854129i | 0.904221 | + | 0.427064i | \(0.140452\pi\) | ||||
−0.904221 | + | 0.427064i | \(0.859548\pi\) | |||||||
\(314\) | −6.81579 | −0.384637 | ||||||||
\(315\) | −1.15701 | − | 8.23506i | −0.0651902 | − | 0.463993i | ||||
\(316\) | 7.47949 | 0.420754 | ||||||||
\(317\) | − | 22.2810i | − | 1.25143i | −0.780054 | − | 0.625713i | \(-0.784808\pi\) | ||
0.780054 | − | 0.625713i | \(-0.215192\pi\) | |||||||
\(318\) | − | 9.92687i | − | 0.556671i | ||||||
\(319\) | −1.86665 | −0.104512 | ||||||||
\(320\) | 19.6019 | − | 2.75404i | 1.09578 | − | 0.153955i | ||||
\(321\) | 22.4429 | 1.25264 | ||||||||
\(322\) | − | 16.5303i | − | 0.921200i | ||||||
\(323\) | − | 14.2351i | − | 0.792060i | ||||||
\(324\) | −1.84743 | −0.102635 | ||||||||
\(325\) | 1.37778 | + | 4.80642i | 0.0764257 | + | 0.266612i | ||||
\(326\) | −4.51606 | −0.250121 | ||||||||
\(327\) | − | 21.9269i | − | 1.21256i | ||||||
\(328\) | − | 9.35599i | − | 0.516598i | ||||||
\(329\) | −3.18421 | −0.175551 | ||||||||
\(330\) | 0.755569 | − | 0.106156i | 0.0415927 | − | 0.00584370i | ||||
\(331\) | 8.25581 | 0.453780 | 0.226890 | − | 0.973920i | \(-0.427144\pi\) | ||||
0.226890 | + | 0.973920i | \(0.427144\pi\) | |||||||
\(332\) | − | 5.00492i | − | 0.274681i | ||||||
\(333\) | 2.92195i | 0.160122i | ||||||||
\(334\) | −8.54464 | −0.467542 | ||||||||
\(335\) | 2.41435 | + | 17.1842i | 0.131910 | + | 0.938874i | ||||
\(336\) | −10.1748 | −0.555083 | ||||||||
\(337\) | 13.7462i | 0.748803i | 0.927267 | + | 0.374402i | \(0.122152\pi\) | ||||
−0.927267 | + | 0.374402i | \(0.877848\pi\) | |||||||
\(338\) | 1.21432i | 0.0660503i | ||||||||
\(339\) | −1.55262 | −0.0843270 | ||||||||
\(340\) | −1.05086 | − | 7.47949i | −0.0569906 | − | 0.405633i | ||||
\(341\) | −1.19850 | −0.0649023 | ||||||||
\(342\) | 3.44446i | 0.186255i | ||||||||
\(343\) | 16.1748i | 0.873359i | ||||||||
\(344\) | −19.5101 | −1.05191 | ||||||||
\(345\) | 13.6128 | − | 1.91258i | 0.732891 | − | 0.102970i | ||||
\(346\) | −0.879077 | −0.0472595 | ||||||||
\(347\) | − | 1.21924i | − | 0.0654523i | −0.999464 | − | 0.0327262i | \(-0.989581\pi\) | ||
0.999464 | − | 0.0327262i | \(-0.0104189\pi\) | |||||||
\(348\) | 6.00000i | 0.321634i | ||||||||
\(349\) | −22.5116 | −1.20502 | −0.602510 | − | 0.798112i | \(-0.705832\pi\) | ||||
−0.602510 | + | 0.798112i | \(0.705832\pi\) | |||||||
\(350\) | 16.9447 | − | 4.85728i | 0.905732 | − | 0.259632i | ||||
\(351\) | 5.61285 | 0.299592 | ||||||||
\(352\) | − | 0.618825i | − | 0.0329835i | ||||||
\(353\) | − | 14.2810i | − | 0.760101i | −0.924966 | − | 0.380050i | \(-0.875907\pi\) | ||
0.924966 | − | 0.380050i | \(-0.124093\pi\) | |||||||
\(354\) | −14.7511 | −0.784013 | ||||||||
\(355\) | 13.4652 | − | 1.89184i | 0.714659 | − | 0.100408i | ||||
\(356\) | 2.94914 | 0.156304 | ||||||||
\(357\) | 24.4701i | 1.29510i | ||||||||
\(358\) | − | 4.90766i | − | 0.259378i | ||||||
\(359\) | 12.1541 | 0.641469 | 0.320734 | − | 0.947169i | \(-0.396070\pi\) | ||||
0.320734 | + | 0.947169i | \(0.396070\pi\) | |||||||
\(360\) | 1.22216 | + | 8.69874i | 0.0644133 | + | 0.458464i | ||||
\(361\) | −14.0968 | −0.741936 | ||||||||
\(362\) | − | 2.84299i | − | 0.149424i | ||||||
\(363\) | 14.3620i | 0.753808i | ||||||||
\(364\) | −1.52543 | −0.0799541 | ||||||||
\(365\) | −3.19850 | − | 22.7654i | −0.167417 | − | 1.19160i | ||||
\(366\) | 0.447375 | 0.0233847 | ||||||||
\(367\) | 4.65725i | 0.243106i | 0.992585 | + | 0.121553i | \(0.0387875\pi\) | ||||
−0.992585 | + | 0.121553i | \(0.961212\pi\) | |||||||
\(368\) | 12.5337i | 0.653366i | ||||||||
\(369\) | 3.90813 | 0.203449 | ||||||||
\(370\) | −6.13335 | + | 0.861725i | −0.318858 | + | 0.0447989i | ||||
\(371\) | −18.1017 | −0.939794 | ||||||||
\(372\) | 3.85236i | 0.199735i | ||||||||
\(373\) | 34.9403i | 1.80914i | 0.426328 | + | 0.904569i | \(0.359807\pi\) | ||||
−0.426328 | + | 0.904569i | \(0.640193\pi\) | |||||||
\(374\) | 1.67307 | 0.0865124 | ||||||||
\(375\) | 5.96052 | + | 13.3921i | 0.307800 | + | 0.691564i | ||||
\(376\) | 3.36349 | 0.173459 | ||||||||
\(377\) | − | 8.70964i | − | 0.448569i | ||||||
\(378\) | − | 19.7877i | − | 1.01777i | ||||||
\(379\) | 17.4717 | 0.897459 | 0.448729 | − | 0.893668i | \(-0.351877\pi\) | ||||
0.448729 | + | 0.893668i | \(0.351877\pi\) | |||||||
\(380\) | 2.57628 | − | 0.361963i | 0.132161 | − | 0.0185683i | ||||
\(381\) | 3.01783 | 0.154608 | ||||||||
\(382\) | 2.55215i | 0.130579i | ||||||||
\(383\) | − | 18.6780i | − | 0.954401i | −0.878794 | − | 0.477200i | \(-0.841652\pi\) | ||
0.878794 | − | 0.477200i | \(-0.158348\pi\) | |||||||
\(384\) | 6.52251 | 0.332851 | ||||||||
\(385\) | −0.193576 | − | 1.37778i | −0.00986555 | − | 0.0702184i | ||||
\(386\) | −16.4188 | −0.835695 | ||||||||
\(387\) | − | 8.14965i | − | 0.414270i | ||||||
\(388\) | − | 9.47949i | − | 0.481248i | ||||||
\(389\) | −1.61285 | −0.0817746 | −0.0408873 | − | 0.999164i | \(-0.513018\pi\) | ||||
−0.0408873 | + | 0.999164i | \(0.513018\pi\) | |||||||
\(390\) | 0.495316 | + | 3.52543i | 0.0250813 | + | 0.178517i | ||||
\(391\) | 30.1432 | 1.52441 | ||||||||
\(392\) | 4.38118i | 0.221283i | ||||||||
\(393\) | 17.5941i | 0.887506i | ||||||||
\(394\) | 2.42864 | 0.122353 | ||||||||
\(395\) | −31.5210 | + | 4.42864i | −1.58599 | + | 0.222829i | ||||
\(396\) | 0.144252 | 0.00724895 | ||||||||
\(397\) | − | 6.57628i | − | 0.330054i | −0.986289 | − | 0.165027i | \(-0.947229\pi\) | ||
0.986289 | − | 0.165027i | \(-0.0527712\pi\) | |||||||
\(398\) | 26.8889i | 1.34782i | ||||||||
\(399\) | −8.42864 | −0.421960 | ||||||||
\(400\) | −12.8479 | + | 3.68292i | −0.642396 | + | 0.184146i | ||||
\(401\) | −21.9081 | −1.09404 | −0.547020 | − | 0.837120i | \(-0.684238\pi\) | ||||
−0.547020 | + | 0.837120i | \(0.684238\pi\) | |||||||
\(402\) | 12.3555i | 0.616237i | ||||||||
\(403\) | − | 5.59210i | − | 0.278563i | ||||||
\(404\) | 2.07007 | 0.102990 | ||||||||
\(405\) | 7.78568 | − | 1.09387i | 0.386874 | − | 0.0543550i | ||||
\(406\) | −30.7052 | −1.52387 | ||||||||
\(407\) | 0.488863i | 0.0242320i | ||||||||
\(408\) | − | 25.8479i | − | 1.27966i | ||||||
\(409\) | 10.1936 | 0.504040 | 0.252020 | − | 0.967722i | \(-0.418905\pi\) | ||||
0.252020 | + | 0.967722i | \(0.418905\pi\) | |||||||
\(410\) | 1.15257 | + | 8.20342i | 0.0569211 | + | 0.405138i | ||||
\(411\) | 25.1111 | 1.23864 | ||||||||
\(412\) | − | 1.48289i | − | 0.0730565i | ||||||
\(413\) | 26.8988i | 1.32360i | ||||||||
\(414\) | −7.29376 | −0.358469 | ||||||||
\(415\) | 2.96343 | + | 21.0923i | 0.145469 | + | 1.03538i | ||||
\(416\) | 2.88739 | 0.141566 | ||||||||
\(417\) | 25.0321i | 1.22583i | ||||||||
\(418\) | 0.576283i | 0.0281869i | ||||||||
\(419\) | −7.31756 | −0.357486 | −0.178743 | − | 0.983896i | \(-0.557203\pi\) | ||||
−0.178743 | + | 0.983896i | \(0.557203\pi\) | |||||||
\(420\) | −4.42864 | + | 0.622216i | −0.216095 | + | 0.0303610i | ||||
\(421\) | −7.86665 | −0.383397 | −0.191698 | − | 0.981454i | \(-0.561400\pi\) | ||||
−0.191698 | + | 0.981454i | \(0.561400\pi\) | |||||||
\(422\) | − | 23.8666i | − | 1.16181i | ||||||
\(423\) | 1.40498i | 0.0683125i | ||||||||
\(424\) | 19.1209 | 0.928594 | ||||||||
\(425\) | 8.85728 | + | 30.8988i | 0.429641 | + | 1.49881i | ||||
\(426\) | 9.68153 | 0.469072 | ||||||||
\(427\) | − | 0.815792i | − | 0.0394789i | ||||||
\(428\) | 8.99402i | 0.434743i | ||||||||
\(429\) | 0.280996 | 0.0135666 | ||||||||
\(430\) | 17.1066 | − | 2.40345i | 0.824955 | − | 0.115905i | ||||
\(431\) | −38.9195 | −1.87469 | −0.937343 | − | 0.348407i | \(-0.886723\pi\) | ||||
−0.937343 | + | 0.348407i | \(0.886723\pi\) | |||||||
\(432\) | 15.0035i | 0.721858i | ||||||||
\(433\) | − | 20.2034i | − | 0.970914i | −0.874260 | − | 0.485457i | \(-0.838653\pi\) | ||
0.874260 | − | 0.485457i | \(-0.161347\pi\) | |||||||
\(434\) | −19.7146 | −0.946329 | ||||||||
\(435\) | −3.55262 | − | 25.2859i | −0.170335 | − | 1.21237i | ||||
\(436\) | 8.78721 | 0.420831 | ||||||||
\(437\) | 10.3827i | 0.496672i | ||||||||
\(438\) | − | 16.3684i | − | 0.782113i | ||||||
\(439\) | −10.8889 | −0.519700 | −0.259850 | − | 0.965649i | \(-0.583673\pi\) | ||||
−0.259850 | + | 0.965649i | \(0.583673\pi\) | |||||||
\(440\) | 0.204475 | + | 1.45536i | 0.00974798 | + | 0.0693816i | ||||
\(441\) | −1.83008 | −0.0871468 | ||||||||
\(442\) | 7.80642i | 0.371314i | ||||||||
\(443\) | − | 28.6287i | − | 1.36019i | −0.733124 | − | 0.680095i | \(-0.761939\pi\) | ||
0.733124 | − | 0.680095i | \(-0.238061\pi\) | |||||||
\(444\) | 1.57136 | 0.0745735 | ||||||||
\(445\) | −12.4286 | + | 1.74620i | −0.589174 | + | 0.0827779i | ||||
\(446\) | 23.8840 | 1.13094 | ||||||||
\(447\) | − | 4.68244i | − | 0.221472i | ||||||
\(448\) | − | 25.7003i | − | 1.21422i | ||||||
\(449\) | 10.9304 | 0.515838 | 0.257919 | − | 0.966167i | \(-0.416963\pi\) | ||||
0.257919 | + | 0.966167i | \(0.416963\pi\) | |||||||
\(450\) | −2.14320 | − | 7.47658i | −0.101031 | − | 0.352449i | ||||
\(451\) | 0.653858 | 0.0307890 | ||||||||
\(452\) | − | 0.622216i | − | 0.0292666i | ||||||
\(453\) | 1.65878i | 0.0779363i | ||||||||
\(454\) | 16.1160 | 0.756361 | ||||||||
\(455\) | 6.42864 | − | 0.903212i | 0.301379 | − | 0.0423432i | ||||
\(456\) | 8.90321 | 0.416931 | ||||||||
\(457\) | 11.4064i | 0.533567i | 0.963756 | + | 0.266784i | \(0.0859609\pi\) | ||||
−0.963756 | + | 0.266784i | \(0.914039\pi\) | |||||||
\(458\) | − | 2.94914i | − | 0.137804i | ||||||
\(459\) | 36.0830 | 1.68421 | ||||||||
\(460\) | 0.766468 | + | 5.45536i | 0.0357368 | + | 0.254357i | ||||
\(461\) | −26.1334 | −1.21715 | −0.608576 | − | 0.793496i | \(-0.708259\pi\) | ||||
−0.608576 | + | 0.793496i | \(0.708259\pi\) | |||||||
\(462\) | − | 0.990632i | − | 0.0460884i | ||||||
\(463\) | − | 7.92242i | − | 0.368186i | −0.982909 | − | 0.184093i | \(-0.941065\pi\) | ||
0.982909 | − | 0.184093i | \(-0.0589348\pi\) | |||||||
\(464\) | 23.2815 | 1.08082 | ||||||||
\(465\) | −2.28100 | − | 16.2351i | −0.105779 | − | 0.752883i | ||||
\(466\) | 19.6414 | 0.909872 | ||||||||
\(467\) | − | 10.8923i | − | 0.504036i | −0.967723 | − | 0.252018i | \(-0.918906\pi\) | ||
0.967723 | − | 0.252018i | \(-0.0810942\pi\) | |||||||
\(468\) | 0.673071i | 0.0311127i | ||||||||
\(469\) | 22.5303 | 1.04035 | ||||||||
\(470\) | −2.94914 | + | 0.414349i | −0.136034 | + | 0.0191125i | ||||
\(471\) | −7.35905 | −0.339087 | ||||||||
\(472\) | − | 28.4133i | − | 1.30783i | ||||||
\(473\) | − | 1.36349i | − | 0.0626935i | ||||||
\(474\) | −22.6637 | −1.04098 | ||||||||
\(475\) | −10.6430 | + | 3.05086i | −0.488332 | + | 0.139983i | ||||
\(476\) | −9.80642 | −0.449477 | ||||||||
\(477\) | 7.98709i | 0.365704i | ||||||||
\(478\) | − | 15.5145i | − | 0.709618i | ||||||
\(479\) | 9.13182 | 0.417244 | 0.208622 | − | 0.977996i | \(-0.433102\pi\) | ||||
0.208622 | + | 0.977996i | \(0.433102\pi\) | |||||||
\(480\) | 8.38271 | − | 1.17775i | 0.382616 | − | 0.0537569i | ||||
\(481\) | −2.28100 | −0.104004 | ||||||||
\(482\) | 7.16241i | 0.326239i | ||||||||
\(483\) | − | 17.8479i | − | 0.812108i | ||||||
\(484\) | −5.75557 | −0.261617 | ||||||||
\(485\) | 5.61285 | + | 39.9496i | 0.254866 | + | 1.81402i | ||||
\(486\) | −14.8494 | −0.673584 | ||||||||
\(487\) | 16.1891i | 0.733600i | 0.930300 | + | 0.366800i | \(0.119547\pi\) | ||||
−0.930300 | + | 0.366800i | \(0.880453\pi\) | |||||||
\(488\) | 0.861725i | 0.0390084i | ||||||||
\(489\) | −4.87601 | −0.220501 | ||||||||
\(490\) | −0.539718 | − | 3.84146i | −0.0243820 | − | 0.173539i | ||||
\(491\) | 26.2636 | 1.18526 | 0.592631 | − | 0.805474i | \(-0.298089\pi\) | ||||
0.592631 | + | 0.805474i | \(0.298089\pi\) | |||||||
\(492\) | − | 2.10171i | − | 0.0947524i | ||||||
\(493\) | − | 55.9911i | − | 2.52171i | ||||||
\(494\) | −2.68889 | −0.120979 | ||||||||
\(495\) | −0.607926 | + | 0.0854124i | −0.0273242 | + | 0.00383900i | ||||
\(496\) | 14.9481 | 0.671189 | ||||||||
\(497\) | − | 17.6543i | − | 0.791905i | ||||||
\(498\) | 15.1655i | 0.679581i | ||||||||
\(499\) | −30.0306 | −1.34435 | −0.672177 | − | 0.740391i | \(-0.734641\pi\) | ||||
−0.672177 | + | 0.740391i | \(0.734641\pi\) | |||||||
\(500\) | −5.36689 | + | 2.38868i | −0.240014 | + | 0.106825i | ||||
\(501\) | −9.22570 | −0.412174 | ||||||||
\(502\) | 2.51744i | 0.112359i | ||||||||
\(503\) | − | 16.7304i | − | 0.745971i | −0.927837 | − | 0.372985i | \(-0.878334\pi\) | ||
0.927837 | − | 0.372985i | \(-0.121666\pi\) | |||||||
\(504\) | 11.4050 | 0.508018 | ||||||||
\(505\) | −8.72393 | + | 1.22570i | −0.388210 | + | 0.0545427i | ||||
\(506\) | −1.22030 | −0.0542488 | ||||||||
\(507\) | 1.31111i | 0.0582283i | ||||||||
\(508\) | 1.20940i | 0.0536583i | ||||||||
\(509\) | 11.9684 | 0.530488 | 0.265244 | − | 0.964181i | \(-0.414547\pi\) | ||||
0.265244 | + | 0.964181i | \(0.414547\pi\) | |||||||
\(510\) | 3.18421 | + | 22.6637i | 0.140999 | + | 1.00357i | ||||
\(511\) | −29.8479 | −1.32039 | ||||||||
\(512\) | 24.1131i | 1.06566i | ||||||||
\(513\) | 12.4286i | 0.548738i | ||||||||
\(514\) | −22.3398 | −0.985368 | ||||||||
\(515\) | 0.878023 | + | 6.24935i | 0.0386903 | + | 0.275379i | ||||
\(516\) | −4.38271 | −0.192938 | ||||||||
\(517\) | 0.235063i | 0.0103381i | ||||||||
\(518\) | 8.04149i | 0.353323i | ||||||||
\(519\) | −0.949145 | −0.0416628 | ||||||||
\(520\) | −6.79060 | + | 0.954067i | −0.297788 | + | 0.0418386i | ||||
\(521\) | 5.75065 | 0.251940 | 0.125970 | − | 0.992034i | \(-0.459796\pi\) | ||||
0.125970 | + | 0.992034i | \(0.459796\pi\) | |||||||
\(522\) | 13.5482i | 0.592988i | ||||||||
\(523\) | − | 20.8035i | − | 0.909674i | −0.890575 | − | 0.454837i | \(-0.849698\pi\) | ||
0.890575 | − | 0.454837i | \(-0.150302\pi\) | |||||||
\(524\) | −7.05086 | −0.308018 | ||||||||
\(525\) | 18.2953 | − | 5.24443i | 0.798472 | − | 0.228886i | ||||
\(526\) | 13.3887 | 0.583774 | ||||||||
\(527\) | − | 35.9496i | − | 1.56599i | ||||||
\(528\) | 0.751123i | 0.0326884i | ||||||||
\(529\) | 1.01429 | 0.0440996 | ||||||||
\(530\) | −16.7654 | + | 2.35551i | −0.728243 | + | 0.102317i | ||||
\(531\) | 11.8687 | 0.515056 | ||||||||
\(532\) | − | 3.37778i | − | 0.146446i | ||||||
\(533\) | 3.05086i | 0.132147i | ||||||||
\(534\) | −8.93624 | −0.386709 | ||||||||
\(535\) | −5.32540 | − | 37.9037i | −0.230237 | − | 1.63872i | ||||
\(536\) | −23.7989 | −1.02796 | ||||||||
\(537\) | − | 5.29883i | − | 0.228661i | ||||||
\(538\) | − | 19.6030i | − | 0.845145i | ||||||
\(539\) | −0.306186 | −0.0131883 | ||||||||
\(540\) | 0.917502 | + | 6.53035i | 0.0394830 | + | 0.281022i | ||||
\(541\) | 16.6222 | 0.714645 | 0.357322 | − | 0.933981i | \(-0.383690\pi\) | ||||
0.357322 | + | 0.933981i | \(0.383690\pi\) | |||||||
\(542\) | − | 15.8000i | − | 0.678667i | ||||||
\(543\) | − | 3.06959i | − | 0.131729i | ||||||
\(544\) | 18.5620 | 0.795839 | ||||||||
\(545\) | −37.0321 | + | 5.20294i | −1.58628 | + | 0.222870i | ||||
\(546\) | 4.62222 | 0.197813 | ||||||||
\(547\) | 29.9748i | 1.28163i | 0.767695 | + | 0.640815i | \(0.221404\pi\) | ||||
−0.767695 | + | 0.640815i | \(0.778596\pi\) | |||||||
\(548\) | 10.0633i | 0.429882i | ||||||||
\(549\) | −0.359955 | −0.0153625 | ||||||||
\(550\) | −0.358572 | − | 1.25088i | −0.0152896 | − | 0.0533379i | ||||
\(551\) | 19.2859 | 0.821608 | ||||||||
\(552\) | 18.8528i | 0.802430i | ||||||||
\(553\) | 41.3274i | 1.75742i | ||||||||
\(554\) | −9.19405 | −0.390618 | ||||||||
\(555\) | −6.62222 | + | 0.930409i | −0.281097 | + | 0.0394937i | ||||
\(556\) | −10.0316 | −0.425436 | ||||||||
\(557\) | 5.03657i | 0.213406i | 0.994291 | + | 0.106703i | \(0.0340294\pi\) | ||||
−0.994291 | + | 0.106703i | \(0.965971\pi\) | |||||||
\(558\) | 8.69874i | 0.368247i | ||||||||
\(559\) | 6.36196 | 0.269082 | ||||||||
\(560\) | 2.41435 | + | 17.1842i | 0.102025 | + | 0.726165i | ||||
\(561\) | 1.80642 | 0.0762673 | ||||||||
\(562\) | − | 8.20342i | − | 0.346040i | ||||||
\(563\) | 2.88247i | 0.121482i | 0.998154 | + | 0.0607408i | \(0.0193463\pi\) | ||||
−0.998154 | + | 0.0607408i | \(0.980654\pi\) | |||||||
\(564\) | 0.755569 | 0.0318152 | ||||||||
\(565\) | 0.368416 | + | 2.62222i | 0.0154994 | + | 0.110317i | ||||
\(566\) | 23.1764 | 0.974176 | ||||||||
\(567\) | − | 10.2079i | − | 0.428690i | ||||||
\(568\) | 18.6484i | 0.782468i | ||||||||
\(569\) | 4.37286 | 0.183320 | 0.0916600 | − | 0.995790i | \(-0.470783\pi\) | ||||
0.0916600 | + | 0.995790i | \(0.470783\pi\) | |||||||
\(570\) | −7.80642 | + | 1.09679i | −0.326975 | + | 0.0459394i | ||||
\(571\) | −1.58120 | −0.0661714 | −0.0330857 | − | 0.999453i | \(-0.510533\pi\) | ||||
−0.0330857 | + | 0.999453i | \(0.510533\pi\) | |||||||
\(572\) | 0.112610i | 0.00470844i | ||||||||
\(573\) | 2.75557i | 0.115116i | ||||||||
\(574\) | 10.7556 | 0.448929 | ||||||||
\(575\) | −6.46028 | − | 22.5368i | −0.269412 | − | 0.939850i | ||||
\(576\) | −11.3398 | −0.472493 | ||||||||
\(577\) | 7.61729i | 0.317112i | 0.987350 | + | 0.158556i | \(0.0506839\pi\) | ||||
−0.987350 | + | 0.158556i | \(0.949316\pi\) | |||||||
\(578\) | 29.5412i | 1.22875i | ||||||||
\(579\) | −17.7275 | −0.736728 | ||||||||
\(580\) | 10.1334 | − | 1.42372i | 0.420765 | − | 0.0591166i | ||||
\(581\) | 27.6543 | 1.14730 | ||||||||
\(582\) | 28.7239i | 1.19065i | ||||||||
\(583\) | 1.33630i | 0.0553438i | ||||||||
\(584\) | 31.5285 | 1.30466 | ||||||||
\(585\) | −0.398528 | − | 2.83654i | −0.0164771 | − | 0.117276i | ||||
\(586\) | −9.82071 | −0.405690 | ||||||||
\(587\) | 46.8243i | 1.93264i | 0.257336 | + | 0.966322i | \(0.417155\pi\) | ||||
−0.257336 | + | 0.966322i | \(0.582845\pi\) | |||||||
\(588\) | 0.984179i | 0.0405868i | ||||||||
\(589\) | 12.3827 | 0.510221 | ||||||||
\(590\) | 3.50024 | + | 24.9131i | 0.144103 | + | 1.02565i | ||||
\(591\) | 2.62222 | 0.107864 | ||||||||
\(592\) | − | 6.09726i | − | 0.250596i | ||||||
\(593\) | − | 15.9398i | − | 0.654568i | −0.944926 | − | 0.327284i | \(-0.893867\pi\) | ||
0.944926 | − | 0.327284i | \(-0.106133\pi\) | |||||||
\(594\) | −1.46076 | −0.0599357 | ||||||||
\(595\) | 41.3274 | − | 5.80642i | 1.69426 | − | 0.238040i | ||||
\(596\) | 1.87649 | 0.0768641 | ||||||||
\(597\) | 29.0321i | 1.18821i | ||||||||
\(598\) | − | 5.69381i | − | 0.232837i | ||||||
\(599\) | −18.4889 | −0.755434 | −0.377717 | − | 0.925921i | \(-0.623291\pi\) | ||||
−0.377717 | + | 0.925921i | \(0.623291\pi\) | |||||||
\(600\) | −19.3254 | + | 5.53972i | −0.788956 | + | 0.226158i | ||||
\(601\) | 20.7556 | 0.846637 | 0.423319 | − | 0.905981i | \(-0.360865\pi\) | ||||
0.423319 | + | 0.905981i | \(0.360865\pi\) | |||||||
\(602\) | − | 22.4286i | − | 0.914123i | ||||||
\(603\) | − | 9.94116i | − | 0.404835i | ||||||
\(604\) | −0.664758 | −0.0270486 | ||||||||
\(605\) | 24.2558 | − | 3.40790i | 0.986139 | − | 0.138551i | ||||
\(606\) | −6.27254 | −0.254804 | ||||||||
\(607\) | − | 36.0765i | − | 1.46430i | −0.681143 | − | 0.732150i | \(-0.738517\pi\) | ||
0.681143 | − | 0.732150i | \(-0.261483\pi\) | |||||||
\(608\) | 6.39361i | 0.259295i | ||||||||
\(609\) | −33.1526 | −1.34341 | ||||||||
\(610\) | −0.106156 | − | 0.755569i | −0.00429813 | − | 0.0305921i | ||||
\(611\) | −1.09679 | −0.0443713 | ||||||||
\(612\) | 4.32693i | 0.174906i | ||||||||
\(613\) | 9.94962i | 0.401861i | 0.979605 | + | 0.200931i | \(0.0643966\pi\) | ||||
−0.979605 | + | 0.200931i | \(0.935603\pi\) | |||||||
\(614\) | 16.3126 | 0.658325 | ||||||||
\(615\) | 1.24443 | + | 8.85728i | 0.0501803 | + | 0.357160i | ||||
\(616\) | 1.90813 | 0.0768809 | ||||||||
\(617\) | − | 2.09187i | − | 0.0842154i | −0.999113 | − | 0.0421077i | \(-0.986593\pi\) | ||
0.999113 | − | 0.0421077i | \(-0.0134073\pi\) | |||||||
\(618\) | 4.49331i | 0.180747i | ||||||||
\(619\) | −18.4681 | −0.742296 | −0.371148 | − | 0.928574i | \(-0.621036\pi\) | ||||
−0.371148 | + | 0.928574i | \(0.621036\pi\) | |||||||
\(620\) | 6.50622 | − | 0.914111i | 0.261296 | − | 0.0367116i | ||||
\(621\) | −26.3180 | −1.05611 | ||||||||
\(622\) | − | 24.5334i | − | 0.983700i | ||||||
\(623\) | 16.2953i | 0.652857i | ||||||||
\(624\) | −3.50468 | −0.140300 | ||||||||
\(625\) | 21.2034 | − | 13.2444i | 0.848137 | − | 0.529777i | ||||
\(626\) | 18.3497 | 0.733401 | ||||||||
\(627\) | 0.622216i | 0.0248489i | ||||||||
\(628\) | − | 2.94914i | − | 0.117684i | ||||||
\(629\) | −14.6637 | −0.584680 | ||||||||
\(630\) | −10.0000 | + | 1.40498i | −0.398410 | + | 0.0559758i | ||||
\(631\) | −38.6657 | −1.53926 | −0.769629 | − | 0.638492i | \(-0.779559\pi\) | ||||
−0.769629 | + | 0.638492i | \(0.779559\pi\) | |||||||
\(632\) | − | 43.6543i | − | 1.73648i | ||||||
\(633\) | − | 25.7690i | − | 1.02422i | ||||||
\(634\) | −27.0563 | −1.07454 | ||||||||
\(635\) | −0.716089 | − | 5.09679i | −0.0284171 | − | 0.202260i | ||||
\(636\) | 4.29529 | 0.170319 | ||||||||
\(637\) | − | 1.42864i | − | 0.0566048i | ||||||
\(638\) | 2.26671i | 0.0897398i | ||||||||
\(639\) | −7.78970 | −0.308156 | ||||||||
\(640\) | −1.54770 | − | 11.0158i | −0.0611783 | − | 0.435439i | ||||
\(641\) | 24.5718 | 0.970529 | 0.485265 | − | 0.874367i | \(-0.338723\pi\) | ||||
0.485265 | + | 0.874367i | \(0.338723\pi\) | |||||||
\(642\) | − | 27.2529i | − | 1.07559i | ||||||
\(643\) | 27.4938i | 1.08425i | 0.840298 | + | 0.542125i | \(0.182380\pi\) | ||||
−0.840298 | + | 0.542125i | \(0.817620\pi\) | |||||||
\(644\) | 7.15257 | 0.281851 | ||||||||
\(645\) | 18.4701 | − | 2.59502i | 0.727261 | − | 0.102179i | ||||
\(646\) | −17.2859 | −0.680105 | ||||||||
\(647\) | − | 13.7812i | − | 0.541796i | −0.962608 | − | 0.270898i | \(-0.912679\pi\) | ||
0.962608 | − | 0.270898i | \(-0.0873207\pi\) | |||||||
\(648\) | 10.7826i | 0.423581i | ||||||||
\(649\) | 1.98571 | 0.0779459 | ||||||||
\(650\) | 5.83654 | − | 1.67307i | 0.228928 | − | 0.0656232i | ||||
\(651\) | −21.2859 | −0.834261 | ||||||||
\(652\) | − | 1.95407i | − | 0.0765272i | ||||||
\(653\) | − | 2.12045i | − | 0.0829795i | −0.999139 | − | 0.0414897i | \(-0.986790\pi\) | ||
0.999139 | − | 0.0414897i | \(-0.0132104\pi\) | |||||||
\(654\) | −26.6262 | −1.04117 | ||||||||
\(655\) | 29.7146 | − | 4.17484i | 1.16104 | − | 0.163125i | ||||
\(656\) | −8.15515 | −0.318405 | ||||||||
\(657\) | 13.1699i | 0.513807i | ||||||||
\(658\) | 3.86665i | 0.150738i | ||||||||
\(659\) | −33.8894 | −1.32014 | −0.660072 | − | 0.751203i | \(-0.729474\pi\) | ||||
−0.660072 | + | 0.751203i | \(0.729474\pi\) | |||||||
\(660\) | 0.0459330 | + | 0.326929i | 0.00178794 | + | 0.0127257i | ||||
\(661\) | −37.3689 | −1.45348 | −0.726741 | − | 0.686912i | \(-0.758966\pi\) | ||||
−0.726741 | + | 0.686912i | \(0.758966\pi\) | |||||||
\(662\) | − | 10.0252i | − | 0.389640i | ||||||
\(663\) | 8.42864i | 0.327341i | ||||||||
\(664\) | −29.2114 | −1.13362 | ||||||||
\(665\) | 2.00000 | + | 14.2351i | 0.0775567 | + | 0.552012i | ||||
\(666\) | 3.54818 | 0.137489 | ||||||||
\(667\) | 40.8385i | 1.58127i | ||||||||
\(668\) | − | 3.69721i | − | 0.143049i | ||||||
\(669\) | 25.7877 | 0.997010 | ||||||||
\(670\) | 20.8671 | − | 2.93179i | 0.806167 | − | 0.113265i | ||||
\(671\) | −0.0602231 | −0.00232489 | ||||||||
\(672\) | − | 10.9906i | − | 0.423973i | ||||||
\(673\) | − | 35.4608i | − | 1.36691i | −0.729992 | − | 0.683456i | \(-0.760476\pi\) | ||
0.729992 | − | 0.683456i | \(-0.239524\pi\) | |||||||
\(674\) | 16.6923 | 0.642963 | ||||||||
\(675\) | −7.73329 | − | 26.9777i | −0.297655 | − | 1.03837i | ||||
\(676\) | −0.525428 | −0.0202088 | ||||||||
\(677\) | − | 15.3047i | − | 0.588206i | −0.955774 | − | 0.294103i | \(-0.904979\pi\) | ||
0.955774 | − | 0.294103i | \(-0.0950208\pi\) | |||||||
\(678\) | 1.88538i | 0.0724077i | ||||||||
\(679\) | 52.3783 | 2.01009 | ||||||||
\(680\) | −43.6543 | + | 6.13335i | −1.67407 | + | 0.235203i | ||||
\(681\) | 17.4005 | 0.666790 | ||||||||
\(682\) | 1.45536i | 0.0557286i | ||||||||
\(683\) | − | 13.0968i | − | 0.501135i | −0.968099 | − | 0.250567i | \(-0.919383\pi\) | ||
0.968099 | − | 0.250567i | \(-0.0806171\pi\) | |||||||
\(684\) | −1.49039 | −0.0569866 | ||||||||
\(685\) | −5.95851 | − | 42.4099i | −0.227663 | − | 1.62040i | ||||
\(686\) | 19.6414 | 0.749913 | ||||||||
\(687\) | − | 3.18421i | − | 0.121485i | ||||||
\(688\) | 17.0060i | 0.648347i | ||||||||
\(689\) | −6.23506 | −0.237537 | ||||||||
\(690\) | −2.32248 | − | 16.5303i | −0.0884154 | − | 0.629300i | ||||
\(691\) | −18.4079 | −0.700269 | −0.350135 | − | 0.936699i | \(-0.613864\pi\) | ||||
−0.350135 | + | 0.936699i | \(0.613864\pi\) | |||||||
\(692\) | − | 0.380371i | − | 0.0144595i | ||||||
\(693\) | 0.797056i | 0.0302777i | ||||||||
\(694\) | −1.48055 | −0.0562009 | ||||||||
\(695\) | 42.2766 | − | 5.93978i | 1.60364 | − | 0.225309i | ||||
\(696\) | 35.0192 | 1.32740 | ||||||||
\(697\) | 19.6128i | 0.742890i | ||||||||
\(698\) | 27.3363i | 1.03469i | ||||||||
\(699\) | 21.2070 | 0.802121 | ||||||||
\(700\) | 2.10171 | + | 7.33185i | 0.0794372 | + | 0.277118i | ||||
\(701\) | −31.3689 | −1.18479 | −0.592393 | − | 0.805649i | \(-0.701817\pi\) | ||||
−0.592393 | + | 0.805649i | \(0.701817\pi\) | |||||||
\(702\) | − | 6.81579i | − | 0.257245i | ||||||
\(703\) | − | 5.05086i | − | 0.190497i | ||||||
\(704\) | −1.89723 | −0.0715047 | ||||||||
\(705\) | −3.18421 | + | 0.447375i | −0.119924 | + | 0.0168491i | ||||
\(706\) | −17.3417 | −0.652663 | ||||||||
\(707\) | 11.4380i | 0.430171i | ||||||||
\(708\) | − | 6.38271i | − | 0.239877i | ||||||
\(709\) | −9.47949 | −0.356010 | −0.178005 | − | 0.984030i | \(-0.556964\pi\) | ||||
−0.178005 | + | 0.984030i | \(0.556964\pi\) | |||||||
\(710\) | −2.29729 | − | 16.3511i | −0.0862159 | − | 0.613644i | ||||
\(711\) | 18.2351 | 0.683868 | ||||||||
\(712\) | − | 17.2128i | − | 0.645077i | ||||||
\(713\) | 26.2208i | 0.981976i | ||||||||
\(714\) | 29.7146 | 1.11204 | ||||||||
\(715\) | −0.0666765 | − | 0.474572i | −0.00249356 | − | 0.0177480i | ||||
\(716\) | 2.12351 | 0.0793592 | ||||||||
\(717\) | − | 16.7511i | − | 0.625582i | ||||||
\(718\) | − | 14.7590i | − | 0.550799i | ||||||
\(719\) | 29.6227 | 1.10474 | 0.552370 | − | 0.833599i | \(-0.313724\pi\) | ||||
0.552370 | + | 0.833599i | \(0.313724\pi\) | |||||||
\(720\) | 7.58226 | − | 1.06529i | 0.282574 | − | 0.0397011i | ||||
\(721\) | 8.19358 | 0.305145 | ||||||||
\(722\) | 17.1180i | 0.637066i | ||||||||
\(723\) | 7.73329i | 0.287604i | ||||||||
\(724\) | 1.23014 | 0.0457178 | ||||||||
\(725\) | −41.8622 | + | 12.0000i | −1.55472 | + | 0.445669i | ||||
\(726\) | 17.4400 | 0.647260 | ||||||||
\(727\) | − | 42.6702i | − | 1.58255i | −0.611461 | − | 0.791274i | \(-0.709418\pi\) | ||
0.611461 | − | 0.791274i | \(-0.290582\pi\) | |||||||
\(728\) | 8.90321i | 0.329975i | ||||||||
\(729\) | −26.5812 | −0.984489 | ||||||||
\(730\) | −27.6445 | + | 3.88400i | −1.02317 | + | 0.143753i | ||||
\(731\) | 40.8988 | 1.51270 | ||||||||
\(732\) | 0.193576i | 0.00715478i | ||||||||
\(733\) | 26.0830i | 0.963397i | 0.876337 | + | 0.481698i | \(0.159980\pi\) | ||||
−0.876337 | + | 0.481698i | \(0.840020\pi\) | |||||||
\(734\) | 5.65539 | 0.208744 | ||||||||
\(735\) | −0.582736 | − | 4.14764i | −0.0214945 | − | 0.152988i | ||||
\(736\) | −13.5387 | −0.499042 | ||||||||
\(737\) | − | 1.66323i | − | 0.0612657i | ||||||
\(738\) | − | 4.74572i | − | 0.174693i | ||||||
\(739\) | 28.2687 | 1.03988 | 0.519941 | − | 0.854202i | \(-0.325954\pi\) | ||||
0.519941 | + | 0.854202i | \(0.325954\pi\) | |||||||
\(740\) | −0.372862 | − | 2.65386i | −0.0137067 | − | 0.0975578i | ||||
\(741\) | −2.90321 | −0.106652 | ||||||||
\(742\) | 21.9813i | 0.806958i | ||||||||
\(743\) | 20.6681i | 0.758241i | 0.925347 | + | 0.379120i | \(0.123773\pi\) | ||||
−0.925347 | + | 0.379120i | \(0.876227\pi\) | |||||||
\(744\) | 22.4844 | 0.824319 | ||||||||
\(745\) | −7.90813 | + | 1.11108i | −0.289732 | + | 0.0407068i | ||||
\(746\) | 42.4286 | 1.55342 | ||||||||
\(747\) | − | 12.2020i | − | 0.446449i | ||||||
\(748\) | 0.723926i | 0.0264694i | ||||||||
\(749\) | −49.6958 | −1.81585 | ||||||||
\(750\) | 16.2623 | − | 7.23798i | 0.593814 | − | 0.264294i | ||||
\(751\) | 2.46028 | 0.0897770 | 0.0448885 | − | 0.998992i | \(-0.485707\pi\) | ||||
0.0448885 | + | 0.998992i | \(0.485707\pi\) | |||||||
\(752\) | − | 2.93179i | − | 0.106911i | ||||||
\(753\) | 2.71810i | 0.0990530i | ||||||||
\(754\) | −10.5763 | −0.385165 | ||||||||
\(755\) | 2.80150 | − | 0.393606i | 0.101957 | − | 0.0143248i | ||||
\(756\) | 8.56199 | 0.311397 | ||||||||
\(757\) | 48.6035i | 1.76652i | 0.468880 | + | 0.883262i | \(0.344658\pi\) | ||||
−0.468880 | + | 0.883262i | \(0.655342\pi\) | |||||||
\(758\) | − | 21.2162i | − | 0.770606i | ||||||
\(759\) | −1.31756 | −0.0478244 | ||||||||
\(760\) | −2.11261 | − | 15.0366i | −0.0766324 | − | 0.545434i | ||||
\(761\) | −13.8252 | −0.501162 | −0.250581 | − | 0.968096i | \(-0.580622\pi\) | ||||
−0.250581 | + | 0.968096i | \(0.580622\pi\) | |||||||
\(762\) | − | 3.66461i | − | 0.132755i | ||||||
\(763\) | 48.5531i | 1.75774i | ||||||||
\(764\) | −1.10430 | −0.0399520 | ||||||||
\(765\) | −2.56199 | − | 18.2351i | −0.0926290 | − | 0.659290i | ||||
\(766\) | −22.6811 | −0.819500 | ||||||||
\(767\) | 9.26517i | 0.334546i | ||||||||
\(768\) | 15.2924i | 0.551816i | ||||||||
\(769\) | 38.9688 | 1.40525 | 0.702626 | − | 0.711559i | \(-0.252011\pi\) | ||||
0.702626 | + | 0.711559i | \(0.252011\pi\) | |||||||
\(770\) | −1.67307 | + | 0.235063i | −0.0602933 | + | 0.00847109i | ||||
\(771\) | −24.1204 | −0.868677 | ||||||||
\(772\) | − | 7.10430i | − | 0.255689i | ||||||
\(773\) | − | 0.445992i | − | 0.0160412i | −0.999968 | − | 0.00802061i | \(-0.997447\pi\) | ||
0.999968 | − | 0.00802061i | \(-0.00255307\pi\) | |||||||
\(774\) | −9.89628 | −0.355715 | ||||||||
\(775\) | −26.8780 | + | 7.70471i | −0.965487 | + | 0.276761i | ||||
\(776\) | −55.3274 | −1.98614 | ||||||||
\(777\) | 8.68244i | 0.311481i | ||||||||
\(778\) | 1.95851i | 0.0702161i | ||||||||
\(779\) | −6.75557 | −0.242043 | ||||||||
\(780\) | −1.52543 | + | 0.214320i | −0.0546191 | + | 0.00767388i | ||||
\(781\) | −1.30327 | −0.0466347 | ||||||||
\(782\) | − | 36.6035i | − | 1.30894i | ||||||
\(783\) | 48.8859i | 1.74704i | ||||||||
\(784\) | 3.81885 | 0.136388 | ||||||||
\(785\) | 1.74620 | + | 12.4286i | 0.0623246 | + | 0.443597i | ||||
\(786\) | 21.3649 | 0.762060 | ||||||||
\(787\) | 33.9037i | 1.20854i | 0.796781 | + | 0.604268i | \(0.206534\pi\) | ||||
−0.796781 | + | 0.604268i | \(0.793466\pi\) | |||||||
\(788\) | 1.05086i | 0.0374352i | ||||||||
\(789\) | 14.4558 | 0.514641 | ||||||||
\(790\) | 5.37778 | + | 38.2766i | 0.191333 | + | 1.36182i | ||||
\(791\) | 3.43801 | 0.122241 | ||||||||
\(792\) | − | 0.841934i | − | 0.0299168i | ||||||
\(793\) | − | 0.280996i | − | 0.00997847i | ||||||
\(794\) | −7.98571 | −0.283402 | ||||||||
\(795\) | −18.1017 | + | 2.54326i | −0.642002 | + | 0.0902000i | ||||
\(796\) | −11.6346 | −0.412379 | ||||||||
\(797\) | − | 10.2953i | − | 0.364678i | −0.983236 | − | 0.182339i | \(-0.941633\pi\) | ||
0.983236 | − | 0.182339i | \(-0.0583668\pi\) | |||||||
\(798\) | 10.2351i | 0.362317i | ||||||||
\(799\) | −7.05086 | −0.249441 | ||||||||
\(800\) | −3.97820 | − | 13.8780i | −0.140651 | − | 0.490662i | ||||
\(801\) | 7.19004 | 0.254047 | ||||||||
\(802\) | 26.6035i | 0.939402i | ||||||||
\(803\) | 2.20342i | 0.0777570i | ||||||||
\(804\) | −5.34614 | −0.188544 | ||||||||
\(805\) | −30.1432 | + | 4.23506i | −1.06241 | + | 0.149266i | ||||
\(806\) | −6.79060 | −0.239189 | ||||||||
\(807\) | − | 21.1655i | − | 0.745060i | ||||||
\(808\) | − | 12.0820i | − | 0.425044i | ||||||
\(809\) | −7.94422 | −0.279304 | −0.139652 | − | 0.990201i | \(-0.544598\pi\) | ||||
−0.139652 | + | 0.990201i | \(0.544598\pi\) | |||||||
\(810\) | −1.32831 | − | 9.45431i | −0.0466721 | − | 0.332190i | ||||
\(811\) | −8.12245 | −0.285218 | −0.142609 | − | 0.989779i | \(-0.545549\pi\) | ||||
−0.142609 | + | 0.989779i | \(0.545549\pi\) | |||||||
\(812\) | − | 13.2859i | − | 0.466244i | ||||||
\(813\) | − | 17.0593i | − | 0.598296i | ||||||
\(814\) | 0.593635 | 0.0208069 | ||||||||
\(815\) | 1.15701 | + | 8.23506i | 0.0405283 | + | 0.288462i | ||||
\(816\) | −22.5303 | −0.788720 | ||||||||
\(817\) | 14.0874i | 0.492856i | ||||||||
\(818\) | − | 12.3783i | − | 0.432796i | ||||||
\(819\) | −3.71900 | −0.129953 | ||||||||
\(820\) | −3.54956 | + | 0.498707i | −0.123956 | + | 0.0174156i | ||||
\(821\) | −22.2065 | −0.775012 | −0.387506 | − | 0.921867i | \(-0.626663\pi\) | ||||
−0.387506 | + | 0.921867i | \(0.626663\pi\) | |||||||
\(822\) | − | 30.4929i | − | 1.06356i | ||||||
\(823\) | − | 11.1175i | − | 0.387533i | −0.981048 | − | 0.193766i | \(-0.937930\pi\) | ||
0.981048 | − | 0.193766i | \(-0.0620704\pi\) | |||||||
\(824\) | −8.65491 | −0.301508 | ||||||||
\(825\) | −0.387152 | − | 1.35059i | −0.0134789 | − | 0.0470214i | ||||
\(826\) | 32.6637 | 1.13652 | ||||||||
\(827\) | 23.1570i | 0.805248i | 0.915365 | + | 0.402624i | \(0.131902\pi\) | ||||
−0.915365 | + | 0.402624i | \(0.868098\pi\) | |||||||
\(828\) | − | 3.15596i | − | 0.109677i | ||||||
\(829\) | 27.1195 | 0.941901 | 0.470950 | − | 0.882160i | \(-0.343911\pi\) | ||||
0.470950 | + | 0.882160i | \(0.343911\pi\) | |||||||
\(830\) | 25.6128 | − | 3.59856i | 0.889035 | − | 0.124908i | ||||
\(831\) | −9.92687 | −0.344359 | ||||||||
\(832\) | − | 8.85236i | − | 0.306900i | ||||||
\(833\) | − | 9.18421i | − | 0.318214i | ||||||
\(834\) | 30.3970 | 1.05256 | ||||||||
\(835\) | 2.18913 | + | 15.5812i | 0.0757580 | + | 0.539210i | ||||
\(836\) | −0.249353 | −0.00862407 | ||||||||
\(837\) | 31.3876i | 1.08492i | ||||||||
\(838\) | 8.88586i | 0.306957i | ||||||||
\(839\) | −25.3955 | −0.876749 | −0.438374 | − | 0.898792i | \(-0.644446\pi\) | ||||
−0.438374 | + | 0.898792i | \(0.644446\pi\) | |||||||
\(840\) | 3.63158 | + | 25.8479i | 0.125302 | + | 0.891838i | ||||
\(841\) | 46.8578 | 1.61578 | ||||||||
\(842\) | 9.55262i | 0.329205i | ||||||||
\(843\) | − | 8.85728i | − | 0.305061i | ||||||
\(844\) | 10.3269 | 0.355468 | ||||||||
\(845\) | 2.21432 | − | 0.311108i | 0.0761749 | − | 0.0107024i | ||||
\(846\) | 1.70610 | 0.0586568 | ||||||||
\(847\) | − | 31.8020i | − | 1.09273i | ||||||
\(848\) | − | 16.6668i | − | 0.572339i | ||||||
\(849\) | 25.0237 | 0.858810 | ||||||||
\(850\) | 37.5210 | − | 10.7556i | 1.28696 | − | 0.368913i | ||||
\(851\) | 10.6953 | 0.366632 | ||||||||
\(852\) | 4.18913i | 0.143517i | ||||||||
\(853\) | − | 25.0651i | − | 0.858214i | −0.903254 | − | 0.429107i | \(-0.858828\pi\) | ||
0.903254 | − | 0.429107i | \(-0.141172\pi\) | |||||||
\(854\) | −0.990632 | −0.0338987 | ||||||||
\(855\) | 6.28100 | − | 0.882468i | 0.214806 | − | 0.0301798i | ||||
\(856\) | 52.4939 | 1.79421 | ||||||||
\(857\) | 7.61285i | 0.260050i | 0.991511 | + | 0.130025i | \(0.0415057\pi\) | ||||
−0.991511 | + | 0.130025i | \(0.958494\pi\) | |||||||
\(858\) | − | 0.341219i | − | 0.0116490i | ||||||
\(859\) | −42.1432 | −1.43791 | −0.718954 | − | 0.695058i | \(-0.755379\pi\) | ||||
−0.718954 | + | 0.695058i | \(0.755379\pi\) | |||||||
\(860\) | 1.03996 | + | 7.40192i | 0.0354622 | + | 0.252403i | ||||
\(861\) | 11.6128 | 0.395765 | ||||||||
\(862\) | 47.2607i | 1.60971i | ||||||||
\(863\) | − | 51.5768i | − | 1.75569i | −0.478942 | − | 0.877847i | \(-0.658980\pi\) | ||
0.478942 | − | 0.877847i | \(-0.341020\pi\) | |||||||
\(864\) | −16.2065 | −0.551356 | ||||||||
\(865\) | 0.225219 | + | 1.60300i | 0.00765768 | + | 0.0545037i | ||||
\(866\) | −24.5334 | −0.833679 | ||||||||
\(867\) | 31.8959i | 1.08324i | ||||||||
\(868\) | − | 8.53035i | − | 0.289539i | ||||||
\(869\) | 3.05086 | 0.103493 | ||||||||
\(870\) | −30.7052 | + | 4.31402i | −1.04100 | + | 0.146259i | ||||
\(871\) | 7.76049 | 0.262954 | ||||||||
\(872\) | − | 51.2869i | − | 1.73679i | ||||||
\(873\) | − | 23.1111i | − | 0.782191i | ||||||
\(874\) | 12.6079 | 0.426469 | ||||||||
\(875\) | −13.1985 | − | 29.6543i | −0.446191 | − | 1.00250i | ||||
\(876\) | 7.08250 | 0.239295 | ||||||||
\(877\) | − | 34.0701i | − | 1.15046i | −0.817990 | − | 0.575232i | \(-0.804912\pi\) | ||
0.817990 | − | 0.575232i | \(-0.195088\pi\) | |||||||
\(878\) | 13.2226i | 0.446242i | ||||||||
\(879\) | −10.6035 | −0.357646 | ||||||||
\(880\) | 1.26857 | − | 0.178231i | 0.0427633 | − | 0.00600817i | ||||
\(881\) | 3.71900 | 0.125296 | 0.0626482 | − | 0.998036i | \(-0.480045\pi\) | ||||
0.0626482 | + | 0.998036i | \(0.480045\pi\) | |||||||
\(882\) | 2.22230i | 0.0748289i | ||||||||
\(883\) | 42.0163i | 1.41396i | 0.707233 | + | 0.706981i | \(0.249943\pi\) | ||||
−0.707233 | + | 0.706981i | \(0.750057\pi\) | |||||||
\(884\) | −3.37778 | −0.113607 | ||||||||
\(885\) | 3.77923 | + | 26.8988i | 0.127037 | + | 0.904192i | ||||
\(886\) | −34.7644 | −1.16793 | ||||||||
\(887\) | − | 40.3116i | − | 1.35353i | −0.736199 | − | 0.676765i | \(-0.763381\pi\) | ||
0.736199 | − | 0.676765i | \(-0.236619\pi\) | |||||||
\(888\) | − | 9.17130i | − | 0.307769i | ||||||
\(889\) | −6.68244 | −0.224122 | ||||||||
\(890\) | 2.12045 | + | 15.0923i | 0.0710775 | + | 0.505896i | ||||
\(891\) | −0.753561 | −0.0252452 | ||||||||
\(892\) | 10.3344i | 0.346023i | ||||||||
\(893\) | − | 2.42864i | − | 0.0812713i | ||||||
\(894\) | −5.68598 | −0.190168 | ||||||||
\(895\) | −8.94914 | + | 1.25734i | −0.299137 | + | 0.0420282i | ||||
\(896\) | −14.4429 | −0.482504 | ||||||||
\(897\) | − | 6.14764i | − | 0.205264i | ||||||
\(898\) | − | 13.2730i | − | 0.442926i | ||||||
\(899\) | 48.7052 | 1.62441 | ||||||||
\(900\) | 3.23506 | − | 0.927346i | 0.107835 | − | 0.0309115i | ||||
\(901\) | −40.0830 | −1.33536 | ||||||||
\(902\) | − | 0.793993i | − | 0.0264371i | ||||||
\(903\) | − | 24.2163i | − | 0.805869i | ||||||
\(904\) | −3.63158 | −0.120785 | ||||||||
\(905\) | −5.18421 | + | 0.728372i | −0.172329 | + | 0.0242119i | ||||
\(906\) | 2.01429 | 0.0669203 | ||||||||
\(907\) | 34.8419i | 1.15691i | 0.815715 | + | 0.578454i | \(0.196344\pi\) | ||||
−0.815715 | + | 0.578454i | \(0.803656\pi\) | |||||||
\(908\) | 6.97328i | 0.231416i | ||||||||
\(909\) | 5.04684 | 0.167393 | ||||||||
\(910\) | −1.09679 | − | 7.80642i | −0.0363582 | − | 0.258780i | ||||
\(911\) | 23.2672 | 0.770876 | 0.385438 | − | 0.922734i | \(-0.374050\pi\) | ||||
0.385438 | + | 0.922734i | \(0.374050\pi\) | |||||||
\(912\) | − | 7.76049i | − | 0.256976i | ||||||
\(913\) | − | 2.04149i | − | 0.0675634i | ||||||
\(914\) | 13.8510 | 0.458149 | ||||||||
\(915\) | −0.114617 | − | 0.815792i | −0.00378913 | − | 0.0269692i | ||||
\(916\) | 1.27607 | 0.0421627 | ||||||||
\(917\) | − | 38.9590i | − | 1.28654i | ||||||
\(918\) | − | 43.8163i | − | 1.44615i | ||||||
\(919\) | 3.22570 | 0.106406 | 0.0532029 | − | 0.998584i | \(-0.483057\pi\) | ||||
0.0532029 | + | 0.998584i | \(0.483057\pi\) | |||||||
\(920\) | 31.8404 | − | 4.47352i | 1.04975 | − | 0.147488i | ||||
\(921\) | 17.6128 | 0.580363 | ||||||||
\(922\) | 31.7342i | 1.04511i | ||||||||
\(923\) | − | 6.08097i | − | 0.200157i | ||||||
\(924\) | 0.428639 | 0.0141012 | ||||||||
\(925\) | 3.14272 | + | 10.9634i | 0.103332 | + | 0.360476i | ||||
\(926\) | −9.62036 | −0.316145 | ||||||||
\(927\) | − | 3.61529i | − | 0.118742i | ||||||
\(928\) | 25.1481i | 0.825527i | ||||||||
\(929\) | 39.3461 | 1.29091 | 0.645453 | − | 0.763800i | \(-0.276669\pi\) | ||||
0.645453 | + | 0.763800i | \(0.276669\pi\) | |||||||
\(930\) | −19.7146 | + | 2.76986i | −0.646466 | + | 0.0908272i | ||||
\(931\) | 3.16346 | 0.103678 | ||||||||
\(932\) | 8.49871i | 0.278384i | ||||||||
\(933\) | − | 26.4889i | − | 0.867206i | ||||||
\(934\) | −13.2268 | −0.432792 | ||||||||
\(935\) | −0.428639 | − | 3.05086i | −0.0140180 | − | 0.0997736i | ||||
\(936\) | 3.92840 | 0.128404 | ||||||||
\(937\) | − | 51.6040i | − | 1.68583i | −0.538048 | − | 0.842914i | \(-0.680838\pi\) | ||
0.538048 | − | 0.842914i | \(-0.319162\pi\) | |||||||
\(938\) | − | 27.3590i | − | 0.893305i | ||||||
\(939\) | 19.8123 | 0.646548 | ||||||||
\(940\) | −0.179286 | − | 1.27607i | −0.00584767 | − | 0.0416209i | ||||
\(941\) | 37.5081 | 1.22273 | 0.611364 | − | 0.791349i | \(-0.290621\pi\) | ||||
0.611364 | + | 0.791349i | \(0.290621\pi\) | |||||||
\(942\) | 8.93624i | 0.291158i | ||||||||
\(943\) | − | 14.3051i | − | 0.465839i | ||||||
\(944\) | −24.7665 | −0.806080 | ||||||||
\(945\) | −36.0830 | + | 5.06959i | −1.17378 | + | 0.164914i | ||||
\(946\) | −1.65572 | −0.0538320 | ||||||||
\(947\) | 38.1160i | 1.23860i | 0.785153 | + | 0.619302i | \(0.212584\pi\) | ||||
−0.785153 | + | 0.619302i | \(0.787416\pi\) | |||||||
\(948\) | − | 9.80642i | − | 0.318498i | ||||||
\(949\) | −10.2810 | −0.333735 | ||||||||
\(950\) | 3.70471 | + | 12.9240i | 0.120197 | + | 0.419308i | ||||
\(951\) | −29.2128 | −0.947290 | ||||||||
\(952\) | 57.2355i | 1.85501i | ||||||||
\(953\) | − | 28.7368i | − | 0.930877i | −0.885080 | − | 0.465439i | \(-0.845897\pi\) | ||
0.885080 | − | 0.465439i | \(-0.154103\pi\) | |||||||
\(954\) | 9.69888 | 0.314013 | ||||||||
\(955\) | 4.65386 | − | 0.653858i | 0.150595 | − | 0.0211584i | ||||
\(956\) | 6.71303 | 0.217115 | ||||||||
\(957\) | 2.44738i | 0.0791124i | ||||||||
\(958\) | − | 11.0890i | − | 0.358268i | ||||||
\(959\) | −55.6040 | −1.79555 | ||||||||
\(960\) | −3.61084 | − | 25.7003i | −0.116539 | − | 0.829473i | ||||
\(961\) | 0.271628 | 0.00876221 | ||||||||
\(962\) | 2.76986i | 0.0893038i | ||||||||
\(963\) | 21.9275i | 0.706604i | ||||||||
\(964\) | −3.09912 | −0.0998161 | ||||||||
\(965\) | 4.20648 | + | 29.9398i | 0.135411 | + | 0.963796i | ||||
\(966\) | −21.6731 | −0.697320 | ||||||||
\(967\) | − | 29.0593i | − | 0.934485i | −0.884129 | − | 0.467242i | \(-0.845248\pi\) | ||
0.884129 | − | 0.467242i | \(-0.154752\pi\) | |||||||
\(968\) | 33.5926i | 1.07971i | ||||||||
\(969\) | −18.6637 | −0.599565 | ||||||||
\(970\) | 48.5116 | − | 6.81579i | 1.55761 | − | 0.218842i | ||||
\(971\) | −39.8578 | −1.27910 | −0.639548 | − | 0.768751i | \(-0.720879\pi\) | ||||
−0.639548 | + | 0.768751i | \(0.720879\pi\) | |||||||
\(972\) | − | 6.42525i | − | 0.206090i | ||||||
\(973\) | − | 55.4291i | − | 1.77698i | ||||||
\(974\) | 19.6588 | 0.629908 | ||||||||
\(975\) | 6.30174 | − | 1.80642i | 0.201817 | − | 0.0578519i | ||||
\(976\) | 0.751123 | 0.0240429 | ||||||||
\(977\) | 12.8617i | 0.411483i | 0.978606 | + | 0.205742i | \(0.0659606\pi\) | ||||
−0.978606 | + | 0.205742i | \(0.934039\pi\) | |||||||
\(978\) | 5.92104i | 0.189334i | ||||||||
\(979\) | 1.20294 | 0.0384463 | ||||||||
\(980\) | 1.66217 | − | 0.233532i | 0.0530961 | − | 0.00745991i | ||||
\(981\) | 21.4233 | 0.683993 | ||||||||
\(982\) | − | 31.8925i | − | 1.01773i | ||||||
\(983\) | 45.4880i | 1.45084i | 0.688306 | + | 0.725420i | \(0.258355\pi\) | ||||
−0.688306 | + | 0.725420i | \(0.741645\pi\) | |||||||
\(984\) | −12.2667 | −0.391048 | ||||||||
\(985\) | −0.622216 | − | 4.42864i | −0.0198254 | − | 0.141108i | ||||
\(986\) | −67.9911 | −2.16528 | ||||||||
\(987\) | 4.17484i | 0.132887i | ||||||||
\(988\) | − | 1.16346i | − | 0.0370147i | ||||||
\(989\) | −29.8306 | −0.948557 | ||||||||
\(990\) | 0.103718 | + | 0.738216i | 0.00329637 | + | 0.0234620i | ||||
\(991\) | 8.07007 | 0.256354 | 0.128177 | − | 0.991751i | \(-0.459087\pi\) | ||||
0.128177 | + | 0.991751i | \(0.459087\pi\) | |||||||
\(992\) | 16.1466i | 0.512655i | ||||||||
\(993\) | − | 10.8243i | − | 0.343497i | ||||||
\(994\) | −21.4380 | −0.679972 | ||||||||
\(995\) | 49.0321 | − | 6.88892i | 1.55442 | − | 0.218394i | ||||
\(996\) | −6.56199 | −0.207925 | ||||||||
\(997\) | 32.8158i | 1.03929i | 0.854383 | + | 0.519643i | \(0.173935\pi\) | ||||
−0.854383 | + | 0.519643i | \(0.826065\pi\) | |||||||
\(998\) | 36.4667i | 1.15433i | ||||||||
\(999\) | 12.8029 | 0.405065 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))