Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(143,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.i (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 10.0.288778218147.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 152.1 | ||
Root | \(1.07065 + 1.85442i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 189.152 |
Dual form | 189.2.i.b.143.5 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.59354i | − | 1.83391i | −0.398991 | − | 0.916955i | \(-0.630640\pi\) | ||
0.398991 | − | 0.916955i | \(-0.369360\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −4.72645 | −2.36322 | ||||||||
\(5\) | −0.626493 | − | 1.08512i | −0.280176 | − | 0.485279i | 0.691252 | − | 0.722614i | \(-0.257059\pi\) |
−0.971428 | + | 0.237335i | \(0.923726\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.89735 | − | 1.84393i | −0.717131 | − | 0.696938i | ||||
\(8\) | 7.07116i | 2.50003i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.81429 | + | 1.62483i | −0.889958 | + | 0.513817i | ||||
\(11\) | 0.534126 | + | 0.308378i | 0.161045 | + | 0.0929794i | 0.578357 | − | 0.815784i | \(-0.303694\pi\) |
−0.417311 | + | 0.908764i | \(0.637028\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.06343 | + | 0.613974i | 0.294944 | + | 0.170286i | 0.640169 | − | 0.768234i | \(-0.278864\pi\) |
−0.345226 | + | 0.938520i | \(0.612198\pi\) | |||||||
\(14\) | −4.78229 | + | 4.92086i | −1.27812 | + | 1.31515i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 8.88643 | 2.22161 | ||||||||
\(17\) | −2.21501 | − | 3.83652i | −0.537220 | − | 0.930492i | −0.999052 | − | 0.0435249i | \(-0.986141\pi\) |
0.461833 | − | 0.886967i | \(-0.347192\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.64679 | − | 0.950775i | −0.377800 | − | 0.218123i | 0.299061 | − | 0.954234i | \(-0.403327\pi\) |
−0.676861 | + | 0.736111i | \(0.736660\pi\) | |||||||
\(20\) | 2.96109 | + | 5.12875i | 0.662119 | + | 1.14682i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.799790 | − | 1.38528i | 0.170516 | − | 0.295342i | ||||
\(23\) | 4.11267 | − | 2.37445i | 0.857550 | − | 0.495107i | −0.00564111 | − | 0.999984i | \(-0.501796\pi\) |
0.863191 | + | 0.504877i | \(0.168462\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.71501 | − | 2.97049i | 0.343003 | − | 0.594098i | ||||
\(26\) | 1.59237 | − | 2.75806i | 0.312289 | − | 0.540900i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 8.96773 | + | 8.71522i | 1.69474 | + | 1.64702i | ||||
\(29\) | 5.07629 | − | 2.93080i | 0.942643 | − | 0.544235i | 0.0518553 | − | 0.998655i | \(-0.483487\pi\) |
0.890788 | + | 0.454419i | \(0.150153\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.48089i | 0.445580i | 0.974866 | + | 0.222790i | \(0.0715165\pi\) | ||||
−0.974866 | + | 0.222790i | \(0.928484\pi\) | |||||||
\(32\) | − | 8.90499i | − | 1.57419i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −9.95016 | + | 5.74473i | −1.70644 | + | 0.985213i | ||||
\(35\) | −0.812198 | + | 3.21405i | −0.137287 | + | 0.543274i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.33217 | − | 2.30738i | 0.219007 | − | 0.379331i | −0.735498 | − | 0.677527i | \(-0.763052\pi\) |
0.954505 | + | 0.298196i | \(0.0963849\pi\) | |||||||
\(38\) | −2.46587 | + | 4.27102i | −0.400018 | + | 0.692851i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 7.67303 | − | 4.43003i | 1.21321 | − | 0.700449i | ||||
\(41\) | 2.09966 | − | 3.63671i | 0.327911 | − | 0.567959i | −0.654186 | − | 0.756334i | \(-0.726989\pi\) |
0.982097 | + | 0.188375i | \(0.0603220\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.24637 | − | 3.89083i | −0.342568 | − | 0.593346i | 0.642340 | − | 0.766419i | \(-0.277964\pi\) |
−0.984909 | + | 0.173073i | \(0.944630\pi\) | |||||||
\(44\) | −2.52452 | − | 1.45753i | −0.380586 | − | 0.219731i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.15823 | − | 10.6664i | −0.907981 | − | 1.57267i | ||||
\(47\) | −7.61476 | −1.11073 | −0.555364 | − | 0.831608i | \(-0.687421\pi\) | ||||
−0.555364 | + | 0.831608i | \(0.687421\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.199880 | + | 6.99715i | 0.0285543 | + | 0.999592i | ||||
\(50\) | −7.70409 | − | 4.44796i | −1.08952 | − | 0.629036i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.02627 | − | 2.90192i | −0.697018 | − | 0.402424i | ||||
\(53\) | 2.67782 | − | 1.54604i | 0.367827 | − | 0.212365i | −0.304682 | − | 0.952454i | \(-0.598550\pi\) |
0.672509 | + | 0.740089i | \(0.265217\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.772786i | − | 0.104202i | ||||||
\(56\) | 13.0387 | − | 13.4165i | 1.74237 | − | 1.79285i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.60114 | − | 13.1656i | −0.998078 | − | 1.72872i | ||||
\(59\) | −3.56459 | −0.464070 | −0.232035 | − | 0.972707i | \(-0.574538\pi\) | ||||
−0.232035 | + | 0.972707i | \(0.574538\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 14.4495i | 1.85006i | 0.379890 | + | 0.925032i | \(0.375962\pi\) | ||||
−0.379890 | + | 0.925032i | \(0.624038\pi\) | |||||||
\(62\) | 6.43428 | 0.817154 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −5.32259 | −0.665324 | ||||||||
\(65\) | − | 1.53860i | − | 0.190840i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 13.6129 | 1.66308 | 0.831539 | − | 0.555467i | \(-0.187460\pi\) | ||||
0.831539 | + | 0.555467i | \(0.187460\pi\) | |||||||
\(68\) | 10.4692 | + | 18.1331i | 1.26957 | + | 2.19896i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 8.33577 | + | 2.10647i | 0.996316 | + | 0.251771i | ||||
\(71\) | 10.4095i | 1.23538i | 0.786420 | + | 0.617692i | \(0.211932\pi\) | ||||
−0.786420 | + | 0.617692i | \(0.788068\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.95016 | − | 5.74473i | 1.16458 | − | 0.672369i | 0.212181 | − | 0.977230i | \(-0.431943\pi\) |
0.952397 | + | 0.304861i | \(0.0986100\pi\) | |||||||
\(74\) | −5.98429 | − | 3.45503i | −0.695659 | − | 0.401639i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.78348 | + | 4.49379i | 0.892826 | + | 0.515473i | ||||
\(77\) | −0.444799 | − | 1.56999i | −0.0506895 | − | 0.178917i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.03185 | −0.453618 | −0.226809 | − | 0.973939i | \(-0.572829\pi\) | ||||
−0.226809 | + | 0.973939i | \(0.572829\pi\) | |||||||
\(80\) | −5.56728 | − | 9.64281i | −0.622441 | − | 1.07810i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.43196 | − | 5.44554i | −1.04159 | − | 0.601360i | ||||
\(83\) | 4.36775 | + | 7.56516i | 0.479422 | + | 0.830384i | 0.999721 | − | 0.0236001i | \(-0.00751285\pi\) |
−0.520299 | + | 0.853984i | \(0.674180\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.77538 | + | 4.80710i | −0.301032 | + | 0.521403i | ||||
\(86\) | −10.0910 | + | 5.82605i | −1.08814 | + | 0.628240i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.18059 | + | 3.77689i | −0.232451 | + | 0.402618i | ||||
\(89\) | −0.811226 | + | 1.40508i | −0.0859897 | + | 0.148939i | −0.905813 | − | 0.423679i | \(-0.860739\pi\) |
0.819823 | + | 0.572617i | \(0.194072\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.885586 | − | 3.12582i | −0.0928346 | − | 0.327675i | ||||
\(92\) | −19.4383 | + | 11.2227i | −2.02658 | + | 1.17005i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 19.7492i | 2.03697i | ||||||||
\(95\) | 2.38261i | 0.244451i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.76527 | − | 5.06063i | 0.889979 | − | 0.513829i | 0.0160431 | − | 0.999871i | \(-0.494893\pi\) |
0.873936 | + | 0.486042i | \(0.161560\pi\) | |||||||
\(98\) | 18.1474 | − | 0.518397i | 1.83316 | − | 0.0523660i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.10593 | + | 14.0399i | −0.810593 | + | 1.40399i | ||||
\(101\) | 0.856611 | − | 1.48369i | 0.0852360 | − | 0.147633i | −0.820256 | − | 0.571997i | \(-0.806169\pi\) |
0.905492 | + | 0.424364i | \(0.139502\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.41315 | + | 3.70263i | −0.631906 | + | 0.364831i | −0.781490 | − | 0.623918i | \(-0.785540\pi\) |
0.149584 | + | 0.988749i | \(0.452207\pi\) | |||||||
\(104\) | −4.34151 | + | 7.51971i | −0.425720 | + | 0.737368i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.00972 | − | 6.94503i | −0.389458 | − | 0.674561i | ||||
\(107\) | −0.131657 | − | 0.0760123i | −0.0127278 | − | 0.00734839i | 0.493623 | − | 0.869676i | \(-0.335672\pi\) |
−0.506350 | + | 0.862328i | \(0.669006\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.70051 | + | 4.67742i | 0.258662 | + | 0.448016i | 0.965884 | − | 0.258976i | \(-0.0833851\pi\) |
−0.707222 | + | 0.706992i | \(0.750052\pi\) | |||||||
\(110\) | −2.00425 | −0.191098 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −16.8607 | − | 16.3859i | −1.59318 | − | 1.54832i | ||||
\(113\) | 5.60391 | + | 3.23542i | 0.527171 | + | 0.304362i | 0.739864 | − | 0.672757i | \(-0.234890\pi\) |
−0.212693 | + | 0.977119i | \(0.568223\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.15311 | − | 2.97515i | −0.480530 | − | 0.277434i | ||||
\(116\) | −23.9928 | + | 13.8523i | −2.22768 | + | 1.28615i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.24490i | 0.851062i | ||||||||
\(119\) | −2.87159 | + | 11.3635i | −0.263238 | + | 1.04169i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.30981 | − | 9.19685i | −0.482710 | − | 0.836078i | ||||
\(122\) | 37.4752 | 3.39285 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 11.7258i | − | 1.05301i | ||||||
\(125\) | −10.5627 | −0.944757 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.93175 | −0.260151 | −0.130075 | − | 0.991504i | \(-0.541522\pi\) | ||||
−0.130075 | + | 0.991504i | \(0.541522\pi\) | |||||||
\(128\) | − | 4.00562i | − | 0.354050i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.99042 | −0.349983 | ||||||||
\(131\) | −8.11382 | − | 14.0535i | −0.708908 | − | 1.22786i | −0.965263 | − | 0.261281i | \(-0.915855\pi\) |
0.256355 | − | 0.966583i | \(-0.417478\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.37138 | + | 4.84051i | 0.118914 | + | 0.419726i | ||||
\(134\) | − | 35.3055i | − | 3.04993i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 27.1286 | − | 15.6627i | 2.32626 | − | 1.34307i | ||||
\(137\) | 15.0711 | + | 8.70129i | 1.28761 | + | 0.743402i | 0.978227 | − | 0.207536i | \(-0.0665445\pi\) |
0.309382 | + | 0.950938i | \(0.399878\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.45273 | − | 3.14813i | −0.462494 | − | 0.267021i | 0.250598 | − | 0.968091i | \(-0.419373\pi\) |
−0.713092 | + | 0.701070i | \(0.752706\pi\) | |||||||
\(140\) | 3.83881 | − | 15.1911i | 0.324439 | − | 1.28388i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 26.9975 | 2.26558 | ||||||||
\(143\) | 0.378672 | + | 0.655879i | 0.0316661 | + | 0.0548474i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.36052 | − | 3.67225i | −0.528212 | − | 0.304963i | ||||
\(146\) | −14.8992 | − | 25.8061i | −1.23306 | − | 2.13573i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.29642 | + | 10.9057i | −0.517563 | + | 0.896445i | ||||
\(149\) | 9.20319 | − | 5.31346i | 0.753954 | − | 0.435296i | −0.0731665 | − | 0.997320i | \(-0.523310\pi\) |
0.827121 | + | 0.562024i | \(0.189977\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.74465 | + | 8.21798i | −0.386114 | + | 0.668770i | −0.991923 | − | 0.126841i | \(-0.959516\pi\) |
0.605809 | + | 0.795610i | \(0.292850\pi\) | |||||||
\(152\) | 6.72308 | − | 11.6447i | 0.545314 | − | 0.944511i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.07183 | + | 1.15360i | −0.328117 | + | 0.0929600i | ||||
\(155\) | 2.69205 | − | 1.55426i | 0.216231 | − | 0.124841i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 23.8116i | − | 1.90037i | −0.311688 | − | 0.950185i | \(-0.600894\pi\) | ||
0.311688 | − | 0.950185i | \(-0.399106\pi\) | |||||||
\(158\) | 10.4568i | 0.831895i | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −9.66295 | + | 5.57891i | −0.763924 | + | 0.441051i | ||||
\(161\) | −12.1815 | − | 3.07829i | −0.960035 | − | 0.242603i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.41101 | + | 7.64009i | −0.345497 | + | 0.598418i | −0.985444 | − | 0.170001i | \(-0.945623\pi\) |
0.639947 | + | 0.768419i | \(0.278956\pi\) | |||||||
\(164\) | −9.92392 | + | 17.1887i | −0.774928 | + | 1.34221i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 19.6205 | − | 11.3279i | 1.52285 | − | 0.879217i | ||||
\(167\) | −11.0335 | + | 19.1106i | −0.853800 | + | 1.47883i | 0.0239535 | + | 0.999713i | \(0.492375\pi\) |
−0.877754 | + | 0.479112i | \(0.840959\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.74607 | − | 9.95249i | −0.442005 | − | 0.765576i | ||||
\(170\) | 12.4674 | + | 7.19806i | 0.956206 | + | 0.552066i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 10.6174 | + | 18.3898i | 0.809566 | + | 1.40221i | ||||
\(173\) | −4.06750 | −0.309246 | −0.154623 | − | 0.987974i | \(-0.549416\pi\) | ||||
−0.154623 | + | 0.987974i | \(0.549416\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −8.73135 | + | 2.47371i | −0.660028 | + | 0.186995i | ||||
\(176\) | 4.74647 | + | 2.74038i | 0.357779 | + | 0.206564i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.64414 | + | 2.10395i | 0.273140 | + | 0.157697i | ||||
\(179\) | 7.20787 | − | 4.16146i | 0.538741 | − | 0.311042i | −0.205827 | − | 0.978588i | \(-0.565989\pi\) |
0.744569 | + | 0.667546i | \(0.232655\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.6701i | 0.941763i | 0.882196 | + | 0.470881i | \(0.156064\pi\) | ||||
−0.882196 | + | 0.470881i | \(0.843936\pi\) | |||||||
\(182\) | −8.10693 | + | 2.29680i | −0.600926 | + | 0.170250i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 16.7901 | + | 29.0813i | 1.23778 | + | 2.14390i | ||||
\(185\) | −3.33837 | −0.245442 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 2.73225i | − | 0.199802i | ||||||
\(188\) | 35.9908 | 2.62490 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.17941 | 0.448301 | ||||||||
\(191\) | − | 3.80050i | − | 0.274995i | −0.990502 | − | 0.137497i | \(-0.956094\pi\) | ||
0.990502 | − | 0.137497i | \(-0.0439059\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.78897 | 0.488680 | 0.244340 | − | 0.969690i | \(-0.421429\pi\) | ||||
0.244340 | + | 0.969690i | \(0.421429\pi\) | |||||||
\(194\) | −13.1250 | − | 22.7331i | −0.942317 | − | 1.63214i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.944723 | − | 33.0717i | −0.0674802 | − | 2.36226i | ||||
\(197\) | − | 6.41453i | − | 0.457017i | −0.973542 | − | 0.228508i | \(-0.926615\pi\) | ||
0.973542 | − | 0.228508i | \(-0.0733848\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.8921 | + | 8.02063i | −0.984788 | + | 0.568568i | −0.903712 | − | 0.428140i | \(-0.859169\pi\) |
−0.0810756 | + | 0.996708i | \(0.525836\pi\) | |||||||
\(200\) | 21.0048 | + | 12.1271i | 1.48526 | + | 0.857518i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.84802 | − | 2.22166i | −0.270746 | − | 0.156315i | ||||
\(203\) | −15.0357 | − | 3.79955i | −1.05530 | − | 0.266676i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.26168 | −0.367491 | ||||||||
\(206\) | 9.60292 | + | 16.6327i | 0.669067 | + | 1.15886i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 9.45013 | + | 5.45604i | 0.655249 | + | 0.378308i | ||||
\(209\) | −0.586396 | − | 1.01567i | −0.0405619 | − | 0.0702552i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.06070 | + | 7.03333i | −0.279550 | + | 0.484194i | −0.971273 | − | 0.237968i | \(-0.923519\pi\) |
0.691723 | + | 0.722163i | \(0.256852\pi\) | |||||||
\(212\) | −12.6566 | + | 7.30728i | −0.869257 | + | 0.501866i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.197141 | + | 0.341458i | −0.0134763 | + | 0.0233416i | ||||
\(215\) | −2.81467 | + | 4.87515i | −0.191959 | + | 0.332483i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.57457 | − | 4.70711i | 0.310542 | − | 0.319540i | ||||
\(218\) | 12.1311 | − | 7.00388i | 0.821620 | − | 0.474363i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 3.65253i | 0.246254i | ||||||||
\(221\) | − | 5.43985i | − | 0.365924i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.96205 | − | 4.01954i | 0.466213 | − | 0.269168i | −0.248440 | − | 0.968647i | \(-0.579918\pi\) |
0.714653 | + | 0.699479i | \(0.246585\pi\) | |||||||
\(224\) | −16.4201 | + | 16.8959i | −1.09712 | + | 1.12890i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 8.39118 | − | 14.5340i | 0.558173 | − | 0.966784i | ||||
\(227\) | 10.4117 | − | 18.0336i | 0.691048 | − | 1.19693i | −0.280447 | − | 0.959870i | \(-0.590483\pi\) |
0.971495 | − | 0.237061i | \(-0.0761840\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.21276 | − | 3.00959i | 0.344469 | − | 0.198879i | −0.317777 | − | 0.948165i | \(-0.602936\pi\) |
0.662247 | + | 0.749286i | \(0.269603\pi\) | |||||||
\(230\) | −7.71617 | + | 13.3648i | −0.508789 | + | 0.881248i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 20.7241 | + | 35.8952i | 1.36061 | + | 2.35664i | ||||
\(233\) | −18.2156 | − | 10.5168i | −1.19335 | − | 0.688978i | −0.234282 | − | 0.972169i | \(-0.575274\pi\) |
−0.959064 | + | 0.283191i | \(0.908607\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.77059 | + | 8.26291i | 0.311199 | + | 0.539013i | ||||
\(236\) | 16.8478 | 1.09670 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 29.4718 | + | 7.44759i | 1.91037 | + | 0.482755i | ||||
\(239\) | 7.51079 | + | 4.33636i | 0.485832 | + | 0.280496i | 0.722844 | − | 0.691011i | \(-0.242835\pi\) |
−0.237011 | + | 0.971507i | \(0.576168\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.33797 | + | 4.23658i | 0.472680 | + | 0.272902i | 0.717361 | − | 0.696702i | \(-0.245350\pi\) |
−0.244681 | + | 0.969604i | \(0.578683\pi\) | |||||||
\(242\) | −23.8524 | + | 13.7712i | −1.53329 | + | 0.885246i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 68.2946i | − | 4.37211i | ||||||
\(245\) | 7.46750 | − | 4.60055i | 0.477081 | − | 0.293919i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.16750 | − | 2.02217i | −0.0742864 | − | 0.128668i | ||||
\(248\) | −17.5427 | −1.11396 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 27.3948i | 1.73260i | ||||||||
\(251\) | 23.4435 | 1.47974 | 0.739871 | − | 0.672749i | \(-0.234887\pi\) | ||||
0.739871 | + | 0.672749i | \(0.234887\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.92891 | 0.184139 | ||||||||
\(254\) | 7.60361i | 0.477093i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −21.0339 | −1.31462 | ||||||||
\(257\) | 12.2585 | + | 21.2324i | 0.764665 | + | 1.32444i | 0.940423 | + | 0.340005i | \(0.110429\pi\) |
−0.175758 | + | 0.984433i | \(0.556238\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.78223 | + | 1.92150i | −0.421427 | + | 0.119396i | ||||
\(260\) | 7.27212i | 0.450998i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −36.4484 | + | 21.0435i | −2.25179 | + | 1.30007i | ||||
\(263\) | −9.14036 | − | 5.27719i | −0.563619 | − | 0.325406i | 0.190978 | − | 0.981594i | \(-0.438834\pi\) |
−0.754597 | + | 0.656189i | \(0.772167\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.35527 | − | 1.93716i | −0.206112 | − | 0.118999i | ||||
\(266\) | 12.5541 | − | 3.55673i | 0.769739 | − | 0.218077i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −64.3406 | −3.93023 | ||||||||
\(269\) | 1.14451 | + | 1.98235i | 0.0697821 | + | 0.120866i | 0.898805 | − | 0.438348i | \(-0.144436\pi\) |
−0.829023 | + | 0.559214i | \(0.811103\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −20.9239 | − | 12.0804i | −1.27103 | − | 0.733831i | −0.295851 | − | 0.955234i | \(-0.595603\pi\) |
−0.975182 | + | 0.221403i | \(0.928936\pi\) | |||||||
\(272\) | −19.6836 | − | 34.0929i | −1.19349 | − | 2.06719i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 22.5672 | − | 39.0875i | 1.36333 | − | 2.36136i | ||||
\(275\) | 1.83207 | − | 1.05774i | 0.110478 | − | 0.0637844i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 5.68551 | − | 9.84760i | 0.341609 | − | 0.591685i | −0.643122 | − | 0.765763i | \(-0.722361\pi\) |
0.984732 | + | 0.174079i | \(0.0556947\pi\) | |||||||
\(278\) | −8.16481 | + | 14.1419i | −0.489693 | + | 0.848173i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −22.7271 | − | 5.74318i | −1.35820 | − | 0.343221i | ||||
\(281\) | −17.6382 | + | 10.1834i | −1.05221 | + | 0.607492i | −0.923267 | − | 0.384160i | \(-0.874491\pi\) |
−0.128941 | + | 0.991652i | \(0.541158\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 12.1611i | − | 0.722903i | −0.932391 | − | 0.361451i | \(-0.882281\pi\) | ||
0.932391 | − | 0.361451i | \(-0.117719\pi\) | |||||||
\(284\) | − | 49.2001i | − | 2.91949i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.70105 | − | 0.982101i | 0.100585 | − | 0.0580729i | ||||
\(287\) | −10.6896 | + | 3.02851i | −0.630988 | + | 0.178767i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.31257 | + | 2.27345i | −0.0772103 | + | 0.133732i | ||||
\(290\) | −9.52411 | + | 16.4962i | −0.559275 | + | 0.968693i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −47.0289 | + | 27.1522i | −2.75216 | + | 1.58896i | ||||
\(293\) | 13.4674 | − | 23.3262i | 0.786773 | − | 1.36273i | −0.141161 | − | 0.989987i | \(-0.545083\pi\) |
0.927934 | − | 0.372745i | \(-0.121583\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.23319 | + | 3.86799i | 0.130021 | + | 0.225203i | ||||
\(296\) | 16.3159 | + | 9.41996i | 0.948340 | + | 0.547524i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −13.7807 | − | 23.8688i | −0.798293 | − | 1.38268i | ||||
\(299\) | 5.83140 | 0.337239 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.91224 | + | 11.5244i | −0.167859 | + | 0.664256i | ||||
\(302\) | 21.3137 | + | 12.3054i | 1.22646 | + | 0.708099i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −14.6341 | − | 8.44899i | −0.839322 | − | 0.484583i | ||||
\(305\) | 15.6793 | − | 9.05248i | 0.897797 | − | 0.518343i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.3700i | 1.21965i | 0.792536 | + | 0.609825i | \(0.208760\pi\) | ||||
−0.792536 | + | 0.609825i | \(0.791240\pi\) | |||||||
\(308\) | 2.10232 | + | 7.42048i | 0.119791 | + | 0.422821i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.03103 | − | 6.98195i | −0.228947 | − | 0.396548i | ||||
\(311\) | −16.2312 | −0.920385 | −0.460192 | − | 0.887819i | \(-0.652220\pi\) | ||||
−0.460192 | + | 0.887819i | \(0.652220\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.0805i | 0.795880i | 0.917412 | + | 0.397940i | \(0.130275\pi\) | ||||
−0.917412 | + | 0.397940i | \(0.869725\pi\) | |||||||
\(314\) | −61.7562 | −3.48511 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 19.0563 | 1.07200 | ||||||||
\(317\) | 20.2968i | 1.13998i | 0.821651 | + | 0.569991i | \(0.193053\pi\) | ||||
−0.821651 | + | 0.569991i | \(0.806947\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.61517 | 0.202411 | ||||||||
\(320\) | 3.33456 | + | 5.77563i | 0.186408 | + | 0.322868i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −7.98366 | + | 31.5931i | −0.444912 | + | 1.76062i | ||||
\(323\) | 8.42392i | 0.468720i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.64761 | − | 2.10595i | 0.202333 | − | 0.116817i | ||||
\(326\) | 19.8149 | + | 11.4401i | 1.09744 | + | 0.633610i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 25.7158 | + | 14.8470i | 1.41991 | + | 0.819788i | ||||
\(329\) | 14.4479 | + | 14.0410i | 0.796537 | + | 0.774108i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.4682 | 1.45482 | 0.727411 | − | 0.686202i | \(-0.240723\pi\) | ||||
0.727411 | + | 0.686202i | \(0.240723\pi\) | |||||||
\(332\) | −20.6439 | − | 35.7563i | −1.13298 | − | 1.96238i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 49.5642 | + | 28.6159i | 2.71203 | + | 1.56579i | ||||
\(335\) | −8.52836 | − | 14.7716i | −0.465954 | − | 0.807057i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.73659 | + | 3.00785i | −0.0945979 | + | 0.163848i | −0.909441 | − | 0.415834i | \(-0.863490\pi\) |
0.814843 | + | 0.579682i | \(0.196823\pi\) | |||||||
\(338\) | −25.8122 | + | 14.9027i | −1.40400 | + | 0.810598i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 13.1177 | − | 22.7205i | 0.711407 | − | 1.23219i | ||||
\(341\) | −0.765051 | + | 1.32511i | −0.0414298 | + | 0.0717585i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 12.5230 | − | 13.6446i | 0.676177 | − | 0.736739i | ||||
\(344\) | 27.5127 | − | 15.8844i | 1.48338 | − | 0.856432i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 10.5492i | 0.567130i | ||||||||
\(347\) | − | 9.40810i | − | 0.505053i | −0.967590 | − | 0.252527i | \(-0.918738\pi\) | ||
0.967590 | − | 0.252527i | \(-0.0812615\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.3253 | − | 7.11603i | 0.659759 | − | 0.380912i | −0.132426 | − | 0.991193i | \(-0.542277\pi\) |
0.792185 | + | 0.610281i | \(0.208943\pi\) | |||||||
\(350\) | 6.41566 | + | 22.6451i | 0.342931 | + | 1.21043i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.74610 | − | 4.75639i | 0.146368 | − | 0.253516i | ||||
\(353\) | −8.58262 | + | 14.8655i | −0.456807 | + | 0.791213i | −0.998790 | − | 0.0491765i | \(-0.984340\pi\) |
0.541983 | + | 0.840389i | \(0.317674\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.2956 | − | 6.52149i | 0.599506 | − | 0.346125i | ||||
\(356\) | 3.83422 | − | 6.64106i | 0.203213 | − | 0.351975i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.7929 | − | 18.6939i | −0.570424 | − | 0.988003i | ||||
\(359\) | 24.4705 | + | 14.1281i | 1.29150 | + | 0.745650i | 0.978921 | − | 0.204241i | \(-0.0654725\pi\) |
0.312583 | + | 0.949890i | \(0.398806\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.69205 | − | 13.3230i | −0.404845 | − | 0.701212i | ||||
\(362\) | 32.8605 | 1.72711 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 4.18568 | + | 14.7740i | 0.219389 | + | 0.774369i | ||||
\(365\) | −12.4674 | − | 7.19806i | −0.652574 | − | 0.376764i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.9796 | + | 11.5352i | 1.04293 | + | 0.602133i | 0.920661 | − | 0.390364i | \(-0.127651\pi\) |
0.122265 | + | 0.992498i | \(0.460984\pi\) | |||||||
\(368\) | 36.5469 | − | 21.1004i | 1.90514 | − | 1.09993i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.65820i | 0.450118i | ||||||||
\(371\) | −7.93154 | − | 2.00432i | −0.411785 | − | 0.104059i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 6.93635 | + | 12.0141i | 0.359150 | + | 0.622067i | 0.987819 | − | 0.155607i | \(-0.0497332\pi\) |
−0.628669 | + | 0.777673i | \(0.716400\pi\) | |||||||
\(374\) | −7.08619 | −0.366418 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | − | 53.8452i | − | 2.77685i | ||||||
\(377\) | 7.19773 | 0.370702 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.7814 | 1.17020 | 0.585101 | − | 0.810961i | \(-0.301055\pi\) | ||||
0.585101 | + | 0.810961i | \(0.301055\pi\) | |||||||
\(380\) | − | 11.2613i | − | 0.577693i | ||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −9.85676 | −0.504316 | ||||||||
\(383\) | 7.61598 | + | 13.1913i | 0.389158 | + | 0.674042i | 0.992337 | − | 0.123564i | \(-0.0394325\pi\) |
−0.603178 | + | 0.797606i | \(0.706099\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.42496 | + | 1.46625i | −0.0726226 | + | 0.0747268i | ||||
\(386\) | − | 17.6075i | − | 0.896196i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −41.4286 | + | 23.9188i | −2.10322 | + | 1.21429i | ||||
\(389\) | −12.2525 | − | 7.07396i | −0.621224 | − | 0.358664i | 0.156121 | − | 0.987738i | \(-0.450101\pi\) |
−0.777346 | + | 0.629074i | \(0.783434\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.2192 | − | 10.5189i | −0.921386 | − | 0.531962i | ||||
\(392\) | −49.4779 | + | 1.41338i | −2.49901 | + | 0.0713866i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −16.6363 | −0.838127 | ||||||||
\(395\) | 2.52592 | + | 4.37503i | 0.127093 | + | 0.220131i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.40688 | + | 4.85371i | 0.421929 | + | 0.243601i | 0.695902 | − | 0.718136i | \(-0.255005\pi\) |
−0.273973 | + | 0.961737i | \(0.588338\pi\) | |||||||
\(398\) | 20.8018 | + | 36.0298i | 1.04270 | + | 1.80601i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 15.2403 | − | 26.3970i | 0.762017 | − | 1.31985i | ||||
\(401\) | 7.56156 | − | 4.36567i | 0.377606 | − | 0.218011i | −0.299170 | − | 0.954200i | \(-0.596710\pi\) |
0.676776 | + | 0.736189i | \(0.263376\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.52320 | + | 2.63826i | −0.0758760 | + | 0.131421i | ||||
\(404\) | −4.04873 | + | 7.01261i | −0.201432 | + | 0.348890i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −9.85428 | + | 38.9956i | −0.489060 | + | 1.93532i | ||||
\(407\) | 1.42309 | − | 0.821622i | 0.0705400 | − | 0.0407263i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 14.8918i | 0.736353i | 0.929756 | + | 0.368176i | \(0.120018\pi\) | ||||
−0.929756 | + | 0.368176i | \(0.879982\pi\) | |||||||
\(410\) | 13.6464i | 0.673946i | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 30.3114 | − | 17.5003i | 1.49334 | − | 0.862178i | ||||
\(413\) | 6.76327 | + | 6.57283i | 0.332799 | + | 0.323428i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.47272 | − | 9.47903i | 0.268645 | − | 0.465307i | ||||
\(416\) | 5.46743 | − | 9.46987i | 0.268063 | − | 0.464299i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.63418 | + | 1.52084i | −0.128842 | + | 0.0743868i | ||||
\(419\) | −2.13859 | + | 3.70414i | −0.104477 | + | 0.180959i | −0.913524 | − | 0.406784i | \(-0.866650\pi\) |
0.809048 | + | 0.587743i | \(0.199983\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.76681 | + | 9.98841i | 0.281057 | + | 0.486805i | 0.971645 | − | 0.236443i | \(-0.0759816\pi\) |
−0.690588 | + | 0.723248i | \(0.742648\pi\) | |||||||
\(422\) | 18.2412 | + | 10.5316i | 0.887969 | + | 0.512669i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 10.9323 | + | 18.9353i | 0.530919 | + | 0.919578i | ||||
\(425\) | −15.1951 | −0.737072 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 26.6437 | − | 27.4157i | 1.28938 | − | 1.32674i | ||||
\(428\) | 0.622271 | + | 0.359268i | 0.0300786 | + | 0.0173659i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 12.6439 | + | 7.29996i | 0.609743 | + | 0.352035i | ||||
\(431\) | −14.4497 | + | 8.34254i | −0.696018 | + | 0.401846i | −0.805863 | − | 0.592103i | \(-0.798298\pi\) |
0.109845 | + | 0.993949i | \(0.464965\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.3503i | 0.593516i | 0.954953 | + | 0.296758i | \(0.0959055\pi\) | ||||
−0.954953 | + | 0.296758i | \(0.904094\pi\) | |||||||
\(434\) | −12.2081 | − | 11.8643i | −0.586007 | − | 0.569506i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −12.7638 | − | 22.1076i | −0.611276 | − | 1.05876i | ||||
\(437\) | −9.03027 | −0.431976 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 22.1346i | − | 1.05643i | −0.849112 | − | 0.528213i | \(-0.822862\pi\) | ||
0.849112 | − | 0.528213i | \(-0.177138\pi\) | |||||||
\(440\) | 5.46449 | 0.260509 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.1085 | −0.671071 | ||||||||
\(443\) | − | 4.88329i | − | 0.232012i | −0.993248 | − | 0.116006i | \(-0.962991\pi\) | ||
0.993248 | − | 0.116006i | \(-0.0370092\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.03291 | 0.0963690 | ||||||||
\(446\) | −10.4248 | − | 18.0563i | −0.493630 | − | 0.854993i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 10.0988 | + | 9.81446i | 0.477124 | + | 0.463690i | ||||
\(449\) | 12.4409i | 0.587121i | 0.955941 | + | 0.293560i | \(0.0948401\pi\) | ||||
−0.955941 | + | 0.293560i | \(0.905160\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.24296 | − | 1.29498i | 0.105617 | − | 0.0609780i | ||||
\(452\) | −26.4866 | − | 15.2920i | −1.24582 | − | 0.719277i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −46.7708 | − | 27.0031i | −2.19506 | − | 1.26732i | ||||
\(455\) | −2.83707 | + | 2.91927i | −0.133004 | + | 0.136857i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.7755 | −0.504056 | −0.252028 | − | 0.967720i | \(-0.581098\pi\) | ||||
−0.252028 | + | 0.967720i | \(0.581098\pi\) | |||||||
\(458\) | −7.80549 | − | 13.5195i | −0.364727 | − | 0.631725i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 24.3559 | + | 14.0619i | 1.13560 | + | 0.655639i | ||||
\(461\) | −0.333303 | − | 0.577297i | −0.0155235 | − | 0.0268874i | 0.858159 | − | 0.513383i | \(-0.171608\pi\) |
−0.873683 | + | 0.486496i | \(0.838275\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.7892 | + | 36.0079i | −0.966155 | + | 1.67343i | −0.259677 | + | 0.965696i | \(0.583616\pi\) |
−0.706479 | + | 0.707734i | \(0.749717\pi\) | |||||||
\(464\) | 45.1101 | − | 26.0443i | 2.09418 | − | 1.20908i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −27.2757 | + | 47.2429i | −1.26352 | + | 2.18849i | ||||
\(467\) | 19.6568 | − | 34.0465i | 0.909606 | − | 1.57548i | 0.0949943 | − | 0.995478i | \(-0.469717\pi\) |
0.814612 | − | 0.580006i | \(-0.196950\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −25.8284 | − | 25.1011i | −1.19264 | − | 1.15906i | ||||
\(470\) | 21.4302 | − | 12.3727i | 0.988500 | − | 0.570711i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 25.2057i | − | 1.16019i | ||||||
\(473\) | − | 2.77093i | − | 0.127407i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.64854 | + | 3.26119i | −0.259173 | + | 0.149633i | ||||
\(476\) | 13.5724 | − | 53.7092i | 0.622091 | − | 2.46176i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 11.2465 | − | 19.4795i | 0.514403 | − | 0.890973i | ||||
\(479\) | 19.0577 | − | 33.0088i | 0.870767 | − | 1.50821i | 0.00956182 | − | 0.999954i | \(-0.496956\pi\) |
0.861205 | − | 0.508258i | \(-0.169710\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.83335 | − | 1.63583i | 0.129189 | − | 0.0745875i | ||||
\(482\) | 10.9877 | − | 19.0313i | 0.500477 | − | 0.866852i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 25.0965 | + | 43.4685i | 1.14075 | + | 1.97584i | ||||
\(485\) | −10.9828 | − | 6.34090i | −0.498701 | − | 0.287925i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.80277 | − | 6.58659i | −0.172320 | − | 0.298467i | 0.766911 | − | 0.641754i | \(-0.221793\pi\) |
−0.939231 | + | 0.343287i | \(0.888460\pi\) | |||||||
\(488\) | −102.174 | −4.62521 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.9317 | − | 19.3673i | −0.539020 | − | 0.874923i | ||||
\(491\) | −3.33297 | − | 1.92429i | −0.150415 | − | 0.0868420i | 0.422904 | − | 0.906175i | \(-0.361011\pi\) |
−0.573318 | + | 0.819333i | \(0.694344\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −22.4881 | − | 12.9835i | −1.01281 | − | 0.584748i | ||||
\(494\) | −5.24459 | + | 3.02797i | −0.235965 | + | 0.136235i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 22.0462i | 0.989904i | ||||||||
\(497\) | 19.1944 | − | 19.7505i | 0.860986 | − | 0.885932i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.0794 | + | 27.8503i | 0.719812 | + | 1.24675i | 0.961074 | + | 0.276291i | \(0.0891053\pi\) |
−0.241262 | + | 0.970460i | \(0.577561\pi\) | |||||||
\(500\) | 49.9241 | 2.23267 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | − | 60.8017i | − | 2.71371i | ||||||
\(503\) | −0.425693 | −0.0189807 | −0.00949035 | − | 0.999955i | \(-0.503021\pi\) | ||||
−0.00949035 | + | 0.999955i | \(0.503021\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.14664 | −0.0955243 | ||||||||
\(506\) | − | 7.59624i | − | 0.337694i | ||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 13.8568 | 0.614794 | ||||||||
\(509\) | 12.8963 | + | 22.3370i | 0.571617 | + | 0.990071i | 0.996400 | + | 0.0847751i | \(0.0270172\pi\) |
−0.424783 | + | 0.905295i | \(0.639649\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −29.4718 | − | 7.44759i | −1.30376 | − | 0.329462i | ||||
\(512\) | 46.5411i | 2.05684i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 55.0670 | − | 31.7929i | 2.42890 | − | 1.40233i | ||||
\(515\) | 8.03558 | + | 4.63934i | 0.354090 | + | 0.204434i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.06724 | − | 2.34822i | −0.178877 | − | 0.103275i | ||||
\(518\) | 4.98347 | + | 17.5900i | 0.218961 | + | 0.772859i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 10.8797 | 0.477106 | ||||||||
\(521\) | −9.07174 | − | 15.7127i | −0.397440 | − | 0.688386i | 0.595969 | − | 0.803007i | \(-0.296768\pi\) |
−0.993409 | + | 0.114621i | \(0.963435\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.0723 | + | 6.96997i | 0.527887 | + | 0.304776i | 0.740155 | − | 0.672436i | \(-0.234752\pi\) |
−0.212269 | + | 0.977211i | \(0.568085\pi\) | |||||||
\(524\) | 38.3495 | + | 66.4234i | 1.67531 | + | 2.90172i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.6866 | + | 23.7059i | −0.596764 | + | 1.03363i | ||||
\(527\) | 9.51796 | − | 5.49520i | 0.414609 | − | 0.239375i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −0.223990 | + | 0.387962i | −0.00973870 | + | 0.0168679i | ||||
\(530\) | −5.02411 | + | 8.70202i | −0.218234 | + | 0.377992i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −6.48177 | − | 22.8784i | −0.281020 | − | 0.991906i | ||||
\(533\) | 4.46569 | − | 2.57827i | 0.193431 | − | 0.111677i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.190485i | 0.00823537i | ||||||||
\(536\) | 96.2587i | 4.15774i | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.14131 | − | 2.96834i | 0.221658 | − | 0.127974i | ||||
\(539\) | −2.05100 | + | 3.79900i | −0.0883430 | + | 0.163634i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.8576 | + | 25.7341i | −0.638779 | + | 1.10640i | 0.346922 | + | 0.937894i | \(0.387227\pi\) |
−0.985701 | + | 0.168503i | \(0.946107\pi\) | |||||||
\(542\) | −31.3310 | + | 54.2668i | −1.34578 | + | 2.33096i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −34.1641 | + | 19.7247i | −1.46478 | + | 0.845688i | ||||
\(545\) | 3.38370 | − | 5.86074i | 0.144942 | − | 0.251046i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.13516 | − | 15.8226i | −0.390591 | − | 0.676524i | 0.601937 | − | 0.798544i | \(-0.294396\pi\) |
−0.992528 | + | 0.122020i | \(0.961063\pi\) | |||||||
\(548\) | −71.2327 | − | 41.1262i | −3.04291 | − | 1.75683i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.74330 | − | 4.75154i | −0.116975 | − | 0.202606i | ||||
\(551\) | −11.1461 | −0.474841 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 7.64983 | + | 7.43442i | 0.325304 | + | 0.316144i | ||||
\(554\) | −25.5401 | − | 14.7456i | −1.08510 | − | 0.626481i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 25.7720 | + | 14.8795i | 1.09298 | + | 0.631031i | ||||
\(557\) | −0.359456 | + | 0.207532i | −0.0152307 | + | 0.00879343i | −0.507596 | − | 0.861595i | \(-0.669466\pi\) |
0.492365 | + | 0.870389i | \(0.336132\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 5.51686i | − | 0.233338i | ||||||
\(560\) | −7.21754 | + | 28.5614i | −0.304997 | + | 1.20694i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 26.4111 | + | 45.7454i | 1.11409 | + | 1.92965i | ||||
\(563\) | −3.65925 | −0.154219 | −0.0771095 | − | 0.997023i | \(-0.524569\pi\) | ||||
−0.0771095 | + | 0.997023i | \(0.524569\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | − | 8.10786i | − | 0.341100i | ||||||
\(566\) | −31.5403 | −1.32574 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −73.6074 | −3.08850 | ||||||||
\(569\) | 35.1828i | 1.47494i | 0.675380 | + | 0.737470i | \(0.263980\pi\) | ||||
−0.675380 | + | 0.737470i | \(0.736020\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.0536 | −0.420730 | −0.210365 | − | 0.977623i | \(-0.567465\pi\) | ||||
−0.210365 | + | 0.977623i | \(0.567465\pi\) | |||||||
\(572\) | −1.78977 | − | 3.09998i | −0.0748342 | − | 0.129617i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 7.85456 | + | 27.7239i | 0.327843 | + | 1.15717i | ||||
\(575\) | − | 16.2888i | − | 0.679292i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.0597672 | − | 0.0345066i | 0.00248814 | − | 0.00143653i | −0.498755 | − | 0.866743i | \(-0.666209\pi\) |
0.501244 | + | 0.865306i | \(0.332876\pi\) | |||||||
\(578\) | 5.89627 | + | 3.40421i | 0.245253 | + | 0.141597i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 30.0627 | + | 17.3567i | 1.24828 | + | 0.720697i | ||||
\(581\) | 5.66244 | − | 22.4076i | 0.234918 | − | 0.929622i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.90706 | 0.0789823 | ||||||||
\(584\) | 40.6219 | + | 70.3591i | 1.68094 | + | 2.91148i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −60.4974 | − | 34.9282i | −2.49913 | − | 1.44287i | ||||
\(587\) | −11.4799 | − | 19.8838i | −0.473827 | − | 0.820693i | 0.525724 | − | 0.850655i | \(-0.323795\pi\) |
−0.999551 | + | 0.0299626i | \(0.990461\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.35877 | − | 4.08550i | 0.0971913 | − | 0.168340i | ||||
\(590\) | 10.0318 | − | 5.79186i | 0.413003 | − | 0.238447i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 11.8382 | − | 20.5044i | 0.486547 | − | 0.842725i | ||||
\(593\) | 14.3970 | − | 24.9363i | 0.591213 | − | 1.02401i | −0.402856 | − | 0.915263i | \(-0.631982\pi\) |
0.994069 | − | 0.108748i | \(-0.0346843\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 14.1298 | − | 4.00316i | 0.579265 | − | 0.164114i | ||||
\(596\) | −43.4984 | + | 25.1138i | −1.78176 | + | 1.02870i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | − | 15.1240i | − | 0.618465i | ||||||
\(599\) | 38.2885i | 1.56442i | 0.623012 | + | 0.782212i | \(0.285909\pi\) | ||||
−0.623012 | + | 0.782212i | \(0.714091\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −26.7618 | + | 15.4509i | −1.09164 | + | 0.630257i | −0.934012 | − | 0.357242i | \(-0.883717\pi\) |
−0.157625 | + | 0.987499i | \(0.550384\pi\) | |||||||
\(602\) | 29.8890 | + | 7.55302i | 1.21819 | + | 0.307838i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 22.4254 | − | 38.8419i | 0.912475 | − | 1.58045i | ||||
\(605\) | −6.65311 | + | 11.5235i | −0.270487 | + | 0.468498i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 28.7339 | − | 16.5895i | 1.16627 | − | 0.673349i | 0.213475 | − | 0.976949i | \(-0.431522\pi\) |
0.952800 | + | 0.303600i | \(0.0981886\pi\) | |||||||
\(608\) | −8.46664 | + | 14.6647i | −0.343368 | + | 0.594730i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −23.4780 | − | 40.6650i | −0.950595 | − | 1.64648i | ||||
\(611\) | −8.09780 | − | 4.67527i | −0.327602 | − | 0.189141i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.01164 | − | 3.48426i | −0.0812492 | − | 0.140728i | 0.822538 | − | 0.568711i | \(-0.192558\pi\) |
−0.903787 | + | 0.427983i | \(0.859224\pi\) | |||||||
\(614\) | 55.4239 | 2.23673 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.1016 | − | 3.14524i | 0.447298 | − | 0.126725i | ||||
\(617\) | −27.1191 | − | 15.6572i | −1.09177 | − | 0.630336i | −0.157726 | − | 0.987483i | \(-0.550416\pi\) |
−0.934048 | + | 0.357147i | \(0.883749\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.0646 | + | 6.96550i | 0.484917 | + | 0.279967i | 0.722463 | − | 0.691409i | \(-0.243010\pi\) |
−0.237546 | + | 0.971376i | \(0.576343\pi\) | |||||||
\(620\) | −12.7238 | + | 7.34612i | −0.511002 | + | 0.295027i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 42.0962i | 1.68790i | ||||||||
\(623\) | 4.13005 | − | 1.17010i | 0.165467 | − | 0.0468790i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.95762 | − | 3.39069i | −0.0783047 | − | 0.135628i | ||||
\(626\) | 36.5185 | 1.45957 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 112.544i | 4.49100i | ||||||||
\(629\) | −11.8031 | −0.470620 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.61815 | −0.183846 | −0.0919229 | − | 0.995766i | \(-0.529301\pi\) | ||||
−0.0919229 | + | 0.995766i | \(0.529301\pi\) | |||||||
\(632\) | − | 28.5098i | − | 1.13406i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 52.6406 | 2.09063 | ||||||||
\(635\) | 1.83672 | + | 3.18129i | 0.0728879 | + | 0.126246i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.08351 | + | 7.56373i | −0.161794 | + | 0.299686i | ||||
\(638\) | − | 9.37609i | − | 0.371203i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.34657 | + | 2.50949i | −0.171813 | + | 0.0991964i | ||||
\(641\) | −36.7821 | − | 21.2362i | −1.45281 | − | 0.838779i | −0.454167 | − | 0.890917i | \(-0.650063\pi\) |
−0.998640 | + | 0.0521380i | \(0.983396\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.13514 | + | 1.81008i | 0.123638 | + | 0.0713825i | 0.560544 | − | 0.828125i | \(-0.310592\pi\) |
−0.436905 | + | 0.899507i | \(0.643926\pi\) | |||||||
\(644\) | 57.5751 | + | 14.5494i | 2.26878 | + | 0.573325i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 21.8478 | 0.859589 | ||||||||
\(647\) | 6.00617 | + | 10.4030i | 0.236127 | + | 0.408984i | 0.959600 | − | 0.281369i | \(-0.0907886\pi\) |
−0.723473 | + | 0.690353i | \(0.757455\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.90394 | − | 1.09924i | −0.0747361 | − | 0.0431489i | ||||
\(650\) | −5.46186 | − | 9.46022i | −0.214232 | − | 0.371060i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 20.8484 | − | 36.1105i | 0.816486 | − | 1.41420i | ||||
\(653\) | −39.9950 | + | 23.0911i | −1.56512 | + | 0.903625i | −0.568400 | + | 0.822752i | \(0.692437\pi\) |
−0.996724 | + | 0.0808728i | \(0.974229\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.1665 | + | 17.6089i | −0.397238 | + | 0.688036i | ||||
\(656\) | 18.6584 | − | 32.3174i | 0.728490 | − | 1.26178i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 36.4160 | − | 37.4711i | 1.41964 | − | 1.46078i | ||||
\(659\) | 16.3479 | − | 9.43847i | 0.636824 | − | 0.367671i | −0.146566 | − | 0.989201i | \(-0.546822\pi\) |
0.783390 | + | 0.621530i | \(0.213489\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 3.32787i | − | 0.129439i | −0.997903 | − | 0.0647195i | \(-0.979385\pi\) | ||
0.997903 | − | 0.0647195i | \(-0.0206153\pi\) | |||||||
\(662\) | − | 68.6463i | − | 2.66801i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −53.4944 | + | 30.8850i | −2.07599 | + | 1.19857i | ||||
\(665\) | 4.39336 | − | 4.52066i | 0.170367 | − | 0.175304i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 13.9181 | − | 24.1068i | 0.538909 | − | 0.933418i | ||||
\(668\) | 52.1494 | − | 90.3254i | 2.01772 | − | 3.49480i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −38.3106 | + | 22.1187i | −1.48007 | + | 0.854518i | ||||
\(671\) | −4.45589 | + | 7.71783i | −0.172018 | + | 0.297944i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.3678 | − | 28.3499i | −0.630934 | − | 1.09281i | −0.987361 | − | 0.158487i | \(-0.949339\pi\) |
0.356427 | − | 0.934323i | \(-0.383995\pi\) | |||||||
\(674\) | 7.80099 | + | 4.50390i | 0.300483 | + | 0.173484i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 27.1585 | + | 47.0399i | 1.04456 | + | 1.80923i | ||||
\(677\) | 33.8456 | 1.30079 | 0.650396 | − | 0.759596i | \(-0.274603\pi\) | ||||
0.650396 | + | 0.759596i | \(0.274603\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −25.9622 | − | 6.56071i | −0.996339 | − | 0.251777i | ||||
\(680\) | −33.9917 | − | 19.6251i | −1.30352 | − | 0.752590i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 3.43672 | + | 1.98419i | 0.131599 | + | 0.0759785i | ||||
\(683\) | 4.79617 | − | 2.76907i | 0.183520 | − | 0.105956i | −0.405425 | − | 0.914128i | \(-0.632877\pi\) |
0.588946 | + | 0.808173i | \(0.299543\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 21.8052i | − | 0.833133i | ||||||
\(686\) | −35.3878 | − | 32.4788i | −1.35111 | − | 1.24005i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −19.9622 | − | 34.5756i | −0.761052 | − | 1.31818i | ||||
\(689\) | 3.79691 | 0.144651 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.2510i | 0.542134i | 0.962561 | + | 0.271067i | \(0.0873764\pi\) | ||||
−0.962561 | + | 0.271067i | \(0.912624\pi\) | |||||||
\(692\) | 19.2248 | 0.730818 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −24.4003 | −0.926222 | ||||||||
\(695\) | 7.88913i | 0.299252i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −18.6031 | −0.704642 | ||||||||
\(698\) | −18.4557 | − | 31.9662i | −0.698559 | − | 1.20994i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 41.2683 | − | 11.6919i | 1.55979 | − | 0.441910i | ||||
\(701\) | 18.6105i | 0.702908i | 0.936205 | + | 0.351454i | \(0.114313\pi\) | ||||
−0.936205 | + | 0.351454i | \(0.885687\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.38760 | + | 2.53318i | −0.165482 | + | 0.0955408i | ||||
\(704\) | −2.84293 | − | 1.64137i | −0.107147 | − | 0.0618614i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 38.5544 | + | 22.2594i | 1.45101 | + | 0.837743i | ||||
\(707\) | −4.36111 | + | 1.23556i | −0.164017 | + | 0.0464681i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.4947 | −0.506803 | −0.253401 | − | 0.967361i | \(-0.581549\pi\) | ||||
−0.253401 | + | 0.967361i | \(0.581549\pi\) | |||||||
\(710\) | −16.9137 | − | 29.2955i | −0.634762 | − | 1.09944i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −9.93557 | − | 5.73630i | −0.372351 | − | 0.214977i | ||||
\(713\) | 5.89074 | + | 10.2031i | 0.220610 | + | 0.382107i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.474470 | − | 0.821807i | 0.0177442 | − | 0.0307338i | ||||
\(716\) | −34.0676 | + | 19.6689i | −1.27317 | + | 0.735063i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 36.6417 | − | 63.4652i | 1.36745 | − | 2.36850i | ||||
\(719\) | −18.8692 | + | 32.6824i | −0.703702 | + | 1.21885i | 0.263456 | + | 0.964671i | \(0.415137\pi\) |
−0.967158 | + | 0.254176i | \(0.918196\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.9954 | + | 4.80017i | 0.707424 | + | 0.178768i | ||||
\(722\) | −34.5538 | + | 19.9496i | −1.28596 | + | 0.742449i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | − | 59.8847i | − | 2.22560i | ||||||
\(725\) | − | 20.1054i | − | 0.746697i | ||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.98480 | + | 1.14592i | −0.0736121 | + | 0.0424999i | −0.536354 | − | 0.843993i | \(-0.680199\pi\) |
0.462742 | + | 0.886493i | \(0.346866\pi\) | |||||||
\(728\) | 22.1031 | − | 6.26211i | 0.819197 | − | 0.232089i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −18.6685 | + | 32.3347i | −0.690950 | + | 1.19676i | ||||
\(731\) | −9.95149 | + | 17.2365i | −0.368069 | + | 0.637514i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −21.4678 | + | 12.3944i | −0.792930 | + | 0.457798i | −0.840993 | − | 0.541046i | \(-0.818028\pi\) |
0.0480633 | + | 0.998844i | \(0.484695\pi\) | |||||||
\(734\) | 29.9170 | − | 51.8178i | 1.10426 | − | 1.91263i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −21.1444 | − | 36.6232i | −0.779394 | − | 1.34995i | ||||
\(737\) | 7.27099 | + | 4.19791i | 0.267830 | + | 0.154632i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.10081 | + | 14.0310i | 0.297993 | + | 0.516139i | 0.975677 | − | 0.219214i | \(-0.0703494\pi\) |
−0.677684 | + | 0.735354i | \(0.737016\pi\) | |||||||
\(740\) | 15.7786 | 0.580035 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.19828 | + | 20.5708i | −0.190835 | + | 0.755177i | ||||
\(743\) | 18.8312 | + | 10.8722i | 0.690848 | + | 0.398862i | 0.803930 | − | 0.594724i | \(-0.202739\pi\) |
−0.113081 | + | 0.993586i | \(0.536072\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.5315 | − | 6.65769i | −0.422480 | − | 0.243919i | ||||
\(746\) | 31.1591 | − | 17.9897i | 1.14081 | − | 0.658649i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.9138i | 0.472176i | ||||||||
\(749\) | 0.109639 | + | 0.386988i | 0.00400612 | + | 0.0141402i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.78997 | + | 6.56443i | 0.138298 | + | 0.239539i | 0.926853 | − | 0.375426i | \(-0.122503\pi\) |
−0.788554 | + | 0.614965i | \(0.789170\pi\) | |||||||
\(752\) | −67.6680 | −2.46760 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 18.6676i | − | 0.679834i | ||||||
\(755\) | 11.8900 | 0.432720 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 10.3436 | 0.375944 | 0.187972 | − | 0.982174i | \(-0.439809\pi\) | ||||
0.187972 | + | 0.982174i | \(0.439809\pi\) | |||||||
\(758\) | − | 59.0844i | − | 2.14604i | ||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −16.8478 | −0.611135 | ||||||||
\(761\) | 17.2169 | + | 29.8206i | 0.624114 | + | 1.08100i | 0.988711 | + | 0.149832i | \(0.0478732\pi\) |
−0.364598 | + | 0.931165i | \(0.618793\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.50100 | − | 13.8542i | 0.126745 | − | 0.501557i | ||||
\(764\) | 17.9629i | 0.649874i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 34.2121 | − | 19.7523i | 1.23613 | − | 0.713681i | ||||
\(767\) | −3.79070 | − | 2.18856i | −0.136874 | − | 0.0790245i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 12.9344 | + | 7.46765i | 0.466425 | + | 0.269290i | 0.714742 | − | 0.699388i | \(-0.246544\pi\) |
−0.248317 | + | 0.968679i | \(0.579877\pi\) | |||||||
\(770\) | 3.80277 | + | 3.69569i | 0.137042 | + | 0.133183i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −32.0877 | −1.15486 | ||||||||
\(773\) | 19.9924 | + | 34.6278i | 0.719076 | + | 1.24548i | 0.961366 | + | 0.275272i | \(0.0887680\pi\) |
−0.242290 | + | 0.970204i | \(0.577899\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 7.36945 | + | 4.25476i | 0.264719 | + | 0.152835i | ||||
\(776\) | 35.7845 | + | 61.9806i | 1.28459 | + | 2.22497i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −18.3466 | + | 31.7772i | −0.657758 | + | 1.13927i | ||||
\(779\) | −6.91539 | + | 3.99260i | −0.247770 | + | 0.143050i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.21007 | + | 5.56000i | −0.114865 | + | 0.198952i | ||||
\(782\) | −27.2811 | + | 47.2523i | −0.975571 | + | 1.68974i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 1.77622 | + | 62.1796i | 0.0634364 | + | 2.22070i | ||||
\(785\) | −25.8383 | + | 14.9178i | −0.922209 | + | 0.532438i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.24117i | 0.0798892i | 0.999202 | + | 0.0399446i | \(0.0127181\pi\) | ||||
−0.999202 | + | 0.0399446i | \(0.987282\pi\) | |||||||
\(788\) | 30.3180i | 1.08003i | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 11.3468 | − | 6.55108i | 0.403701 | − | 0.233077i | ||||
\(791\) | −4.66671 | − | 16.4719i | −0.165929 | − | 0.585674i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.87159 | + | 15.3660i | −0.315039 | + | 0.545664i | ||||
\(794\) | 12.5883 | − | 21.8036i | 0.446742 | − | 0.773780i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 65.6605 | − | 37.9091i | 2.32727 | − | 1.34365i | ||||
\(797\) | −22.1077 | + | 38.2916i | −0.783094 | + | 1.35636i | 0.147037 | + | 0.989131i | \(0.453026\pi\) |
−0.930131 | + | 0.367227i | \(0.880307\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.8668 | + | 29.2142i | 0.596705 | + | 1.03352i | ||||
\(800\) | −26.4522 | − | 15.2722i | −0.935226 | − | 0.539953i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −11.3225 | − | 19.6112i | −0.399812 | − | 0.692495i | ||||
\(803\) | 7.08619 | 0.250066 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.29130 | + | 15.1468i | 0.151249 | + | 0.533856i | ||||
\(806\) | 6.84243 | + | 3.95048i | 0.241014 | + | 0.139150i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 10.4914 | + | 6.05723i | 0.369087 | + | 0.213093i | ||||
\(809\) | 4.31478 | − | 2.49114i | 0.151699 | − | 0.0875837i | −0.422229 | − | 0.906489i | \(-0.638752\pi\) |
0.573928 | + | 0.818906i | \(0.305419\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 36.5749i | − | 1.28432i | −0.766571 | − | 0.642160i | \(-0.778039\pi\) | ||
0.766571 | − | 0.642160i | \(-0.221961\pi\) | |||||||
\(812\) | 71.0653 | + | 17.9584i | 2.49390 | + | 0.630215i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.13091 | − | 3.69084i | −0.0746883 | − | 0.129364i | ||||
\(815\) | 11.0539 | 0.387200 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 8.54318i | 0.298888i | ||||||||
\(818\) | 38.6225 | 1.35040 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 24.8690 | 0.868465 | ||||||||
\(821\) | 40.2294i | 1.40402i | 0.712169 | + | 0.702008i | \(0.247713\pi\) | ||||
−0.712169 | + | 0.702008i | \(0.752287\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −35.8032 | −1.24802 | −0.624011 | − | 0.781416i | \(-0.714498\pi\) | ||||
−0.624011 | + | 0.781416i | \(0.714498\pi\) | |||||||
\(824\) | −26.1819 | − | 45.3483i | −0.912089 | − | 1.57978i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 17.0469 | − | 17.5408i | 0.593138 | − | 0.610323i | ||||
\(827\) | − | 32.0733i | − | 1.11530i | −0.830077 | − | 0.557648i | \(-0.811704\pi\) | ||
0.830077 | − | 0.557648i | \(-0.188296\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.0640 | + | 8.11986i | −0.488463 | + | 0.282014i | −0.723937 | − | 0.689866i | \(-0.757669\pi\) |
0.235474 | + | 0.971881i | \(0.424336\pi\) | |||||||
\(830\) | −24.5842 | − | 14.1937i | −0.853332 | − | 0.492671i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.66023 | − | 3.26793i | −0.196233 | − | 0.113295i | ||||
\(833\) | 26.4019 | − | 16.2656i | 0.914773 | − | 0.563570i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 27.6497 | 0.956857 | ||||||||
\(836\) | 2.77157 | + | 4.80050i | 0.0958568 | + | 0.166029i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.60684 | + | 5.54651i | 0.331863 | + | 0.191601i | ||||
\(839\) | −1.35145 | − | 2.34077i | −0.0466571 | − | 0.0808125i | 0.841754 | − | 0.539862i | \(-0.181523\pi\) |
−0.888411 | + | 0.459049i | \(0.848190\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.67914 | − | 4.64041i | 0.0923842 | − | 0.160014i | ||||
\(842\) | 25.9053 | − | 14.9565i | 0.892757 | − | 0.515434i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 19.1927 | − | 33.2427i | 0.660639 | − | 1.14426i | ||||
\(845\) | −7.19974 | + | 12.4703i | −0.247679 | + | 0.428992i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.88375 | + | 27.2405i | −0.236528 | + | 0.935996i | ||||
\(848\) | 23.7962 | − | 13.7388i | 0.817166 | − | 0.471791i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 39.4092i | 1.35172i | ||||||||
\(851\) | − | 12.6526i | − | 0.433727i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 41.3187 | − | 23.8554i | 1.41473 | − | 0.816793i | 0.418897 | − | 0.908034i | \(-0.362417\pi\) |
0.995829 | + | 0.0912411i | \(0.0290834\pi\) | |||||||
\(854\) | −71.1037 | − | 69.1015i | −2.43312 | − | 2.36461i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.537495 | − | 0.930969i | 0.0183712 | − | 0.0318199i | ||||
\(857\) | −8.93973 | + | 15.4841i | −0.305375 | + | 0.528926i | −0.977345 | − | 0.211653i | \(-0.932115\pi\) |
0.671969 | + | 0.740579i | \(0.265449\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 29.1901 | − | 16.8529i | 0.995953 | − | 0.575014i | 0.0889047 | − | 0.996040i | \(-0.471663\pi\) |
0.907048 | + | 0.421026i | \(0.138330\pi\) | |||||||
\(860\) | 13.3034 | − | 23.0422i | 0.453642 | − | 0.785731i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 21.6367 | + | 37.4759i | 0.736950 | + | 1.27643i | ||||
\(863\) | −16.4318 | − | 9.48693i | −0.559347 | − | 0.322939i | 0.193537 | − | 0.981093i | \(-0.438004\pi\) |
−0.752883 | + | 0.658154i | \(0.771338\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2.54826 | + | 4.41371i | 0.0866434 | + | 0.150071i | ||||
\(866\) | 32.0309 | 1.08846 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −21.6215 | + | 22.2479i | −0.733881 | + | 0.755144i | ||||
\(869\) | −2.15351 | − | 1.24333i | −0.0730530 | − | 0.0421772i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 14.4764 | + | 8.35795i | 0.490514 | + | 0.283198i | ||||
\(872\) | −33.0748 | + | 19.0957i | −1.12005 | + | 0.646663i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 23.4204i | 0.792206i | ||||||||
\(875\) | 20.0411 | + | 19.4768i | 0.677514 | + | 0.658437i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.6188 | − | 32.2487i | −0.628712 | − | 1.08896i | −0.987810 | − | 0.155662i | \(-0.950249\pi\) |
0.359098 | − | 0.933300i | \(-0.383084\pi\) | |||||||
\(878\) | −57.4070 | −1.93739 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | − | 6.86730i | − | 0.231497i | ||||||
\(881\) | −4.71527 | −0.158862 | −0.0794308 | − | 0.996840i | \(-0.525310\pi\) | ||||
−0.0794308 | + | 0.996840i | \(0.525310\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.1766 | 1.01552 | 0.507762 | − | 0.861497i | \(-0.330473\pi\) | ||||
0.507762 | + | 0.861497i | \(0.330473\pi\) | |||||||
\(884\) | 25.7112i | 0.864760i | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −12.6650 | −0.425490 | ||||||||
\(887\) | −19.2217 | − | 33.2930i | −0.645402 | − | 1.11787i | −0.984208 | − | 0.177013i | \(-0.943356\pi\) |
0.338806 | − | 0.940856i | \(-0.389977\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.56255 | + | 5.40592i | 0.186562 | + | 0.181309i | ||||
\(890\) | − | 5.27243i | − | 0.176732i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −32.9058 | + | 18.9981i | −1.10177 | + | 0.636105i | ||||
\(893\) | 12.5399 | + | 7.23993i | 0.419632 | + | 0.242275i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −9.03135 | − | 5.21425i | −0.301885 | − | 0.174293i | ||||
\(896\) | −7.38607 | + | 7.60007i | −0.246751 | + | 0.253901i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 32.2659 | 1.07673 | ||||||||
\(899\) | 7.27098 | + | 12.5937i | 0.242501 | + | 0.420023i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −11.8628 | − | 6.84900i | −0.395208 | − | 0.228173i | ||||
\(902\) | −3.35857 | − | 5.81721i | −0.111828 | − | 0.193692i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −22.8781 | + | 39.6261i | −0.760916 | + | 1.31794i | ||||
\(905\) | 13.7486 | − | 7.93774i | 0.457018 | − | 0.263859i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −21.7951 | + | 37.7503i | −0.723695 | + | 1.25348i | 0.235814 | + | 0.971798i | \(0.424224\pi\) |
−0.959509 | + | 0.281678i | \(0.909109\pi\) | |||||||
\(908\) | −49.2103 | + | 85.2348i | −1.63310 | + | 2.82862i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 7.57123 | + | 7.35804i | 0.250984 | + | 0.243917i | ||||
\(911\) | 1.67736 | − | 0.968423i | 0.0555734 | − | 0.0320853i | −0.471956 | − | 0.881622i | \(-0.656452\pi\) |
0.527529 | + | 0.849537i | \(0.323119\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.38766i | 0.178306i | ||||||||
\(914\) | 27.9467i | 0.924393i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −24.6379 | + | 14.2247i | −0.814058 | + | 0.469997i | ||||
\(917\) | −10.5189 | + | 41.6258i | −0.347366 | + | 1.37460i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.61421 | − | 7.99205i | 0.152209 | − | 0.263634i | −0.779830 | − | 0.625991i | \(-0.784695\pi\) |
0.932039 | + | 0.362357i | \(0.118028\pi\) | |||||||
\(920\) | 21.0377 | − | 36.4384i | 0.693594 | − | 1.20134i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.49724 | + | 0.864434i | −0.0493091 | + | 0.0284686i | ||||
\(923\) | −6.39118 | + | 11.0698i | −0.210368 | + | 0.364368i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.56937 | − | 7.91438i | −0.150240 | − | 0.260223i | ||||
\(926\) | 93.3880 | + | 53.9176i | 3.06892 | + | 1.77184i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −26.0987 | − | 45.2043i | −0.856732 | − | 1.48390i | ||||
\(929\) | −53.3699 | −1.75101 | −0.875504 | − | 0.483211i | \(-0.839471\pi\) | ||||
−0.875504 | + | 0.483211i | \(0.839471\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.32355 | − | 11.7129i | 0.207246 | − | 0.383874i | ||||
\(932\) | 86.0952 | + | 49.7071i | 2.82014 | + | 1.62821i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −88.3010 | − | 50.9806i | −2.88930 | − | 1.66814i | ||||
\(935\) | −2.96481 | + | 1.71173i | −0.0969595 | + | 0.0559796i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 28.6378i | 0.935555i | 0.883846 | + | 0.467778i | \(0.154945\pi\) | ||||
−0.883846 | + | 0.467778i | \(0.845055\pi\) | |||||||
\(938\) | −65.1008 | + | 66.9870i | −2.12562 | + | 2.18720i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −22.5480 | − | 39.0542i | −0.735433 | − | 1.27381i | ||||
\(941\) | 1.37662 | 0.0448764 | 0.0224382 | − | 0.999748i | \(-0.492857\pi\) | ||||
0.0224382 | + | 0.999748i | \(0.492857\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 19.9421i | − | 0.649404i | ||||||
\(944\) | −31.6764 | −1.03098 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −7.18651 | −0.233653 | ||||||||
\(947\) | − | 54.2801i | − | 1.76387i | −0.471374 | − | 0.881933i | \(-0.656242\pi\) | ||
0.471374 | − | 0.881933i | \(-0.343758\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 14.1085 | 0.457980 | ||||||||
\(950\) | 8.45802 | + | 14.6497i | 0.274414 | + | 0.475300i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −80.3533 | − | 20.3055i | −2.60427 | − | 0.658104i | ||||
\(953\) | 11.2998i | 0.366036i | 0.983110 | + | 0.183018i | \(0.0585867\pi\) | ||||
−0.983110 | + | 0.183018i | \(0.941413\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.12399 | + | 2.38099i | −0.133449 | + | 0.0770469i | ||||
\(956\) | −35.4994 | − | 20.4956i | −1.14813 | − | 0.662874i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −85.6097 | − | 49.4268i | −2.76592 | − | 1.59691i | ||||
\(959\) | −12.5506 | − | 44.2994i | −0.405280 | − | 1.43050i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 24.8452 | 0.801458 | ||||||||
\(962\) | −4.24260 | − | 7.34839i | −0.136787 | − | 0.236922i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −34.6825 | − | 20.0240i | −1.11705 | − | 0.644928i | ||||
\(965\) | −4.25324 | − | 7.36682i | −0.136917 | − | 0.237146i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 5.93412 | − | 10.2782i | 0.190829 | − | 0.330525i | −0.754696 | − | 0.656074i | \(-0.772216\pi\) |
0.945525 | + | 0.325549i | \(0.105549\pi\) | |||||||
\(968\) | 65.0324 | − | 37.5465i | 2.09022 | − | 1.20679i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −16.4454 | + | 28.4842i | −0.528029 | + | 0.914573i | ||||
\(971\) | 28.0837 | − | 48.6424i | 0.901249 | − | 1.56101i | 0.0753736 | − | 0.997155i | \(-0.475985\pi\) |
0.825875 | − | 0.563853i | \(-0.190682\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.54081 | + | 16.0275i | 0.145572 | + | 0.513819i | ||||
\(974\) | −17.0826 | + | 9.86263i | −0.547361 | + | 0.316019i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 128.404i | 4.11011i | ||||||||
\(977\) | − | 21.6651i | − | 0.693129i | −0.938026 | − | 0.346565i | \(-0.887348\pi\) | ||
0.938026 | − | 0.346565i | \(-0.112652\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.866594 | + | 0.500328i | −0.0276964 | + | 0.0159906i | ||||
\(980\) | −35.2948 | + | 21.7443i | −1.12745 | + | 0.694596i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −4.99072 | + | 8.64419i | −0.159260 | + | 0.275847i | ||||
\(983\) | 9.70006 | − | 16.8010i | 0.309384 | − | 0.535869i | −0.668844 | − | 0.743403i | \(-0.733211\pi\) |
0.978228 | + | 0.207534i | \(0.0665438\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.96052 | + | 4.01866i | −0.221781 | + | 0.128045i | ||||
\(986\) | −33.6733 | + | 58.3238i | −1.07238 | + | 1.85741i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 5.51814 | + | 9.55771i | 0.175556 | + | 0.304071i | ||||
\(989\) | −18.4771 | − | 10.6678i | −0.587539 | − | 0.339216i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −12.6630 | − | 21.9330i | −0.402254 | − | 0.696725i | 0.591743 | − | 0.806126i | \(-0.298440\pi\) |
−0.993998 | + | 0.109402i | \(0.965107\pi\) | |||||||
\(992\) | 22.0923 | 0.701430 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −51.2238 | − | 49.7814i | −1.62472 | − | 1.57897i | ||||
\(995\) | 17.4066 | + | 10.0497i | 0.551828 | + | 0.318598i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.82016 | + | 2.78292i | 0.152656 | + | 0.0881360i | 0.574382 | − | 0.818587i | \(-0.305242\pi\) |
−0.421726 | + | 0.906723i | \(0.638576\pi\) | |||||||
\(998\) | 72.2309 | − | 41.7025i | 2.28643 | − | 1.32007i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))