Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(185,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.185");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.u (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 425.4 | ||
Character | \(\chi\) | \(=\) | 546.425 |
Dual form | 546.2.u.a.185.4 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | + | 0.500000i | −0.612372 | + | 0.353553i | ||||
\(3\) | −1.51699 | + | 0.835899i | −0.875837 | + | 0.482606i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −0.699535 | + | 1.21163i | −0.312842 | + | 0.541858i | −0.978976 | − | 0.203974i | \(-0.934614\pi\) |
0.666135 | + | 0.745831i | \(0.267948\pi\) | |||||||
\(6\) | 0.895807 | − | 1.48241i | 0.365712 | − | 0.605190i | ||||
\(7\) | 1.97618 | − | 1.75918i | 0.746925 | − | 0.664908i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 1.60255 | − | 2.53611i | 0.534182 | − | 0.845369i | ||||
\(10\) | − | 1.39907i | − | 0.442425i | ||||||
\(11\) | 1.26560i | 0.381592i | 0.981630 | + | 0.190796i | \(0.0611068\pi\) | ||||
−0.981630 | + | 0.190796i | \(0.938893\pi\) | |||||||
\(12\) | −0.0345880 | + | 1.73171i | −0.00998470 | + | 0.499900i | ||||
\(13\) | −3.58555 | + | 0.379286i | −0.994452 | + | 0.105195i | ||||
\(14\) | −0.831830 | + | 2.51159i | −0.222316 | + | 0.671249i | ||||
\(15\) | 0.0483911 | − | 2.42278i | 0.0124945 | − | 0.625558i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 3.43402 | − | 5.94790i | 0.832873 | − | 1.44258i | −0.0628771 | − | 0.998021i | \(-0.520028\pi\) |
0.895750 | − | 0.444557i | \(-0.146639\pi\) | |||||||
\(18\) | −0.119792 | + | 2.99761i | −0.0282354 | + | 0.706543i | ||||
\(19\) | − | 4.61200i | − | 1.05807i | −0.848601 | − | 0.529033i | \(-0.822555\pi\) | ||
0.848601 | − | 0.529033i | \(-0.177445\pi\) | |||||||
\(20\) | 0.699535 | + | 1.21163i | 0.156421 | + | 0.270929i | ||||
\(21\) | −1.52735 | + | 4.32055i | −0.333296 | + | 0.942822i | ||||
\(22\) | −0.632798 | − | 1.09604i | −0.134913 | − | 0.233676i | ||||
\(23\) | 2.17983 | − | 1.25852i | 0.454525 | − | 0.262420i | −0.255214 | − | 0.966885i | \(-0.582146\pi\) |
0.709739 | + | 0.704464i | \(0.248813\pi\) | |||||||
\(24\) | −0.835899 | − | 1.51699i | −0.170627 | − | 0.309655i | ||||
\(25\) | 1.52130 | + | 2.63497i | 0.304260 | + | 0.526994i | ||||
\(26\) | 2.91553 | − | 2.12124i | 0.571783 | − | 0.416010i | ||||
\(27\) | −0.311127 | + | 5.18683i | −0.0598763 | + | 0.998206i | ||||
\(28\) | −0.535407 | − | 2.59101i | −0.101182 | − | 0.489655i | ||||
\(29\) | 4.55247 | + | 2.62837i | 0.845372 | + | 0.488076i | 0.859087 | − | 0.511830i | \(-0.171032\pi\) |
−0.0137143 | + | 0.999906i | \(0.504366\pi\) | |||||||
\(30\) | 1.16948 | + | 2.12238i | 0.213517 | + | 0.387492i | ||||
\(31\) | 4.41277 | − | 2.54772i | 0.792558 | − | 0.457583i | −0.0483045 | − | 0.998833i | \(-0.515382\pi\) |
0.840862 | + | 0.541249i | \(0.182048\pi\) | |||||||
\(32\) | 0.866025 | + | 0.500000i | 0.153093 | + | 0.0883883i | ||||
\(33\) | −1.05791 | − | 1.91990i | −0.184158 | − | 0.334212i | ||||
\(34\) | 6.86805i | 1.17786i | ||||||||
\(35\) | 0.749072 | + | 3.62501i | 0.126616 | + | 0.612738i | ||||
\(36\) | −1.39506 | − | 2.65590i | −0.232510 | − | 0.442650i | ||||
\(37\) | 3.45697 | + | 5.98766i | 0.568323 | + | 0.984365i | 0.996732 | + | 0.0807796i | \(0.0257410\pi\) |
−0.428409 | + | 0.903585i | \(0.640926\pi\) | |||||||
\(38\) | 2.30600 | + | 3.99411i | 0.374083 | + | 0.647931i | ||||
\(39\) | 5.12221 | − | 3.57253i | 0.820210 | − | 0.572062i | ||||
\(40\) | −1.21163 | − | 0.699535i | −0.191576 | − | 0.110606i | ||||
\(41\) | −3.22591 | + | 5.58745i | −0.503803 | + | 0.872613i | 0.496187 | + | 0.868216i | \(0.334733\pi\) |
−0.999990 | + | 0.00439709i | \(0.998600\pi\) | |||||||
\(42\) | −0.837549 | − | 4.50539i | −0.129237 | − | 0.695196i | ||||
\(43\) | 6.08396 | + | 10.5377i | 0.927796 | + | 1.60699i | 0.787002 | + | 0.616951i | \(0.211632\pi\) |
0.140794 | + | 0.990039i | \(0.455034\pi\) | |||||||
\(44\) | 1.09604 | + | 0.632798i | 0.165234 | + | 0.0953979i | ||||
\(45\) | 1.95179 | + | 3.71579i | 0.290955 | + | 0.553917i | ||||
\(46\) | −1.25852 | + | 2.17983i | −0.185559 | + | 0.321398i | ||||
\(47\) | 1.58414 | − | 2.74382i | 0.231071 | − | 0.400227i | −0.727053 | − | 0.686582i | \(-0.759110\pi\) |
0.958124 | + | 0.286355i | \(0.0924437\pi\) | |||||||
\(48\) | 1.48241 | + | 0.895807i | 0.213967 | + | 0.129299i | ||||
\(49\) | 0.810561 | − | 6.95291i | 0.115794 | − | 0.993273i | ||||
\(50\) | −2.63497 | − | 1.52130i | −0.372641 | − | 0.215144i | ||||
\(51\) | −0.237552 | + | 11.8934i | −0.0332639 | + | 1.66541i | ||||
\(52\) | −1.46430 | + | 3.29482i | −0.203062 | + | 0.456909i | ||||
\(53\) | 0.444106 | − | 0.256405i | 0.0610026 | − | 0.0352199i | −0.469188 | − | 0.883098i | \(-0.655454\pi\) |
0.530191 | + | 0.847878i | \(0.322120\pi\) | |||||||
\(54\) | −2.32397 | − | 4.64749i | −0.316252 | − | 0.632443i | ||||
\(55\) | −1.53343 | − | 0.885329i | −0.206768 | − | 0.119378i | ||||
\(56\) | 1.75918 | + | 1.97618i | 0.235081 | + | 0.264078i | ||||
\(57\) | 3.85517 | + | 6.99639i | 0.510629 | + | 0.926694i | ||||
\(58\) | −5.25674 | −0.690244 | ||||||||
\(59\) | 7.18719 | − | 12.4486i | 0.935693 | − | 1.62067i | 0.162300 | − | 0.986742i | \(-0.448109\pi\) |
0.773393 | − | 0.633926i | \(-0.218558\pi\) | |||||||
\(60\) | −2.07399 | − | 1.25330i | −0.267751 | − | 0.161800i | ||||
\(61\) | − | 3.07454i | − | 0.393654i | −0.980438 | − | 0.196827i | \(-0.936936\pi\) | ||
0.980438 | − | 0.196827i | \(-0.0630638\pi\) | |||||||
\(62\) | −2.54772 | + | 4.41277i | −0.323560 | + | 0.560423i | ||||
\(63\) | −1.29456 | − | 7.83097i | −0.163099 | − | 0.986610i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 2.04866 | − | 4.60968i | 0.254105 | − | 0.571760i | ||||
\(66\) | 1.87613 | + | 1.13373i | 0.230935 | + | 0.139552i | ||||
\(67\) | −0.624480 | −0.0762924 | −0.0381462 | − | 0.999272i | \(-0.512145\pi\) | ||||
−0.0381462 | + | 0.999272i | \(0.512145\pi\) | |||||||
\(68\) | −3.43402 | − | 5.94790i | −0.416437 | − | 0.721289i | ||||
\(69\) | −2.25479 | + | 3.73129i | −0.271444 | + | 0.449194i | ||||
\(70\) | −2.46122 | − | 2.76481i | −0.294172 | − | 0.330458i | ||||
\(71\) | 3.78894 | − | 2.18755i | 0.449665 | − | 0.259614i | −0.258024 | − | 0.966139i | \(-0.583071\pi\) |
0.707689 | + | 0.706524i | \(0.249738\pi\) | |||||||
\(72\) | 2.53611 | + | 1.60255i | 0.298883 | + | 0.188862i | ||||
\(73\) | −7.24349 | + | 4.18203i | −0.847786 | + | 0.489470i | −0.859903 | − | 0.510457i | \(-0.829476\pi\) |
0.0121171 | + | 0.999927i | \(0.496143\pi\) | |||||||
\(74\) | −5.98766 | − | 3.45697i | −0.696051 | − | 0.401865i | ||||
\(75\) | −4.51037 | − | 2.72558i | −0.520813 | − | 0.314723i | ||||
\(76\) | −3.99411 | − | 2.30600i | −0.458156 | − | 0.264517i | ||||
\(77\) | 2.22641 | + | 2.50104i | 0.253723 | + | 0.285020i | ||||
\(78\) | −2.64970 | + | 5.65501i | −0.300020 | + | 0.640303i | ||||
\(79\) | 7.13902 | − | 12.3651i | 0.803203 | − | 1.39119i | −0.114295 | − | 0.993447i | \(-0.536461\pi\) |
0.917498 | − | 0.397741i | \(-0.130206\pi\) | |||||||
\(80\) | 1.39907 | 0.156421 | ||||||||
\(81\) | −3.86369 | − | 8.12846i | −0.429298 | − | 0.903163i | ||||
\(82\) | − | 6.45183i | − | 0.712485i | ||||||
\(83\) | 3.52068 | 0.386444 | 0.193222 | − | 0.981155i | \(-0.438106\pi\) | ||||
0.193222 | + | 0.981155i | \(0.438106\pi\) | |||||||
\(84\) | 2.97803 | + | 3.48301i | 0.324930 | + | 0.380027i | ||||
\(85\) | 4.80444 | + | 8.32154i | 0.521115 | + | 0.902597i | ||||
\(86\) | −10.5377 | − | 6.08396i | −1.13631 | − | 0.656051i | ||||
\(87\) | −9.10312 | − | 0.181820i | −0.975957 | − | 0.0194932i | ||||
\(88\) | −1.26560 | −0.134913 | ||||||||
\(89\) | 7.94368 | + | 13.7588i | 0.842028 | + | 1.45844i | 0.888177 | + | 0.459501i | \(0.151972\pi\) |
−0.0461496 | + | 0.998935i | \(0.514695\pi\) | |||||||
\(90\) | −3.54819 | − | 2.24208i | −0.374012 | − | 0.236336i | ||||
\(91\) | −6.41845 | + | 7.05716i | −0.672836 | + | 0.739792i | ||||
\(92\) | − | 2.51705i | − | 0.262420i | ||||||
\(93\) | −4.56452 | + | 7.55351i | −0.473319 | + | 0.783262i | ||||
\(94\) | 3.16829i | 0.326784i | ||||||||
\(95\) | 5.58804 | + | 3.22626i | 0.573321 | + | 0.331007i | ||||
\(96\) | −1.73171 | − | 0.0345880i | −0.176741 | − | 0.00353012i | ||||
\(97\) | −2.18746 | + | 1.26293i | −0.222102 | + | 0.128231i | −0.606923 | − | 0.794760i | \(-0.707597\pi\) |
0.384821 | + | 0.922991i | \(0.374263\pi\) | |||||||
\(98\) | 2.77449 | + | 6.42668i | 0.280266 | + | 0.649193i | ||||
\(99\) | 3.20969 | + | 2.02818i | 0.322586 | + | 0.203839i | ||||
\(100\) | 3.04260 | 0.304260 | ||||||||
\(101\) | 8.43460 | 0.839274 | 0.419637 | − | 0.907692i | \(-0.362157\pi\) | ||||
0.419637 | + | 0.907692i | \(0.362157\pi\) | |||||||
\(102\) | −5.74099 | − | 10.4188i | −0.568443 | − | 1.03161i | ||||
\(103\) | −10.2521 | − | 5.91907i | −1.01017 | − | 0.583224i | −0.0989308 | − | 0.995094i | \(-0.531542\pi\) |
−0.911242 | + | 0.411871i | \(0.864876\pi\) | |||||||
\(104\) | −0.379286 | − | 3.58555i | −0.0371920 | − | 0.351592i | ||||
\(105\) | −4.16648 | − | 4.87297i | −0.406606 | − | 0.475553i | ||||
\(106\) | −0.256405 | + | 0.444106i | −0.0249042 | + | 0.0431354i | ||||
\(107\) | 1.80672 | − | 1.04311i | 0.174663 | − | 0.100841i | −0.410120 | − | 0.912032i | \(-0.634513\pi\) |
0.584783 | + | 0.811190i | \(0.301180\pi\) | |||||||
\(108\) | 4.33636 | + | 2.86286i | 0.417267 | + | 0.275479i | ||||
\(109\) | −7.90043 | − | 13.6840i | −0.756724 | − | 1.31068i | −0.944513 | − | 0.328475i | \(-0.893465\pi\) |
0.187788 | − | 0.982210i | \(-0.439868\pi\) | |||||||
\(110\) | 1.77066 | 0.168826 | ||||||||
\(111\) | −10.2493 | − | 6.19356i | −0.972819 | − | 0.587867i | ||||
\(112\) | −2.51159 | − | 0.831830i | −0.237322 | − | 0.0786005i | ||||
\(113\) | −10.6760 | + | 6.16378i | −1.00431 | + | 0.579840i | −0.909521 | − | 0.415657i | \(-0.863552\pi\) |
−0.0947910 | + | 0.995497i | \(0.530218\pi\) | |||||||
\(114\) | −6.83687 | − | 4.13146i | −0.640331 | − | 0.386947i | ||||
\(115\) | 3.52152i | 0.328384i | ||||||||
\(116\) | 4.55247 | − | 2.62837i | 0.422686 | − | 0.244038i | ||||
\(117\) | −4.78410 | + | 9.70116i | −0.442290 | + | 0.896872i | ||||
\(118\) | 14.3744i | 1.32327i | ||||||||
\(119\) | −3.67720 | − | 17.7952i | −0.337088 | − | 1.63128i | ||||
\(120\) | 2.42278 | + | 0.0483911i | 0.221168 | + | 0.00441748i | ||||
\(121\) | 9.39827 | 0.854388 | ||||||||
\(122\) | 1.53727 | + | 2.66263i | 0.139178 | + | 0.241063i | ||||
\(123\) | 0.223156 | − | 11.1727i | 0.0201213 | − | 1.00741i | ||||
\(124\) | − | 5.09543i | − | 0.457583i | ||||||
\(125\) | −11.2522 | −1.00642 | ||||||||
\(126\) | 5.03660 | + | 6.13454i | 0.448696 | + | 0.546509i | ||||
\(127\) | 4.41803 | − | 7.65224i | 0.392036 | − | 0.679027i | −0.600682 | − | 0.799488i | \(-0.705104\pi\) |
0.992718 | + | 0.120461i | \(0.0384374\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | −18.0378 | − | 10.9001i | −1.58814 | − | 0.959701i | ||||
\(130\) | 0.530647 | + | 5.01643i | 0.0465408 | + | 0.439970i | ||||
\(131\) | 8.68707 | − | 15.0464i | 0.758993 | − | 1.31461i | −0.184372 | − | 0.982857i | \(-0.559025\pi\) |
0.943365 | − | 0.331757i | \(-0.107642\pi\) | |||||||
\(132\) | −2.19164 | − | 0.0437744i | −0.190758 | − | 0.00381008i | ||||
\(133\) | −8.11335 | − | 9.11414i | −0.703517 | − | 0.790296i | ||||
\(134\) | 0.540816 | − | 0.312240i | 0.0467194 | − | 0.0269734i | ||||
\(135\) | −6.06688 | − | 4.00534i | −0.522154 | − | 0.344725i | ||||
\(136\) | 5.94790 | + | 3.43402i | 0.510029 | + | 0.294465i | ||||
\(137\) | −6.13476 | − | 3.54190i | −0.524128 | − | 0.302605i | 0.214494 | − | 0.976725i | \(-0.431190\pi\) |
−0.738622 | + | 0.674120i | \(0.764523\pi\) | |||||||
\(138\) | 0.0870596 | − | 4.35878i | 0.00741101 | − | 0.371044i | ||||
\(139\) | 1.93885 | − | 1.11939i | 0.164451 | − | 0.0949457i | −0.415516 | − | 0.909586i | \(-0.636399\pi\) |
0.579967 | + | 0.814640i | \(0.303066\pi\) | |||||||
\(140\) | 3.51388 | + | 1.16379i | 0.296977 | + | 0.0983581i | ||||
\(141\) | −0.109585 | + | 5.48654i | −0.00922870 | + | 0.462050i | ||||
\(142\) | −2.18755 | + | 3.78894i | −0.183575 | + | 0.317961i | ||||
\(143\) | −0.480022 | − | 4.53785i | −0.0401415 | − | 0.379474i | ||||
\(144\) | −2.99761 | − | 0.119792i | −0.249801 | − | 0.00998271i | ||||
\(145\) | −6.36923 | + | 3.67727i | −0.528935 | + | 0.305381i | ||||
\(146\) | 4.18203 | − | 7.24349i | 0.346107 | − | 0.599475i | ||||
\(147\) | 4.58231 | + | 11.2251i | 0.377943 | + | 0.925829i | ||||
\(148\) | 6.91395 | 0.568323 | ||||||||
\(149\) | 9.99843i | 0.819103i | 0.912287 | + | 0.409552i | \(0.134315\pi\) | ||||
−0.912287 | + | 0.409552i | \(0.865685\pi\) | |||||||
\(150\) | 5.26889 | + | 0.105238i | 0.430203 | + | 0.00859261i | ||||
\(151\) | 3.60495 | + | 6.24397i | 0.293367 | + | 0.508127i | 0.974604 | − | 0.223937i | \(-0.0718909\pi\) |
−0.681237 | + | 0.732063i | \(0.738558\pi\) | |||||||
\(152\) | 4.61200 | 0.374083 | ||||||||
\(153\) | −9.58134 | − | 18.2409i | −0.774606 | − | 1.47469i | ||||
\(154\) | −3.17865 | − | 1.05276i | −0.256143 | − | 0.0848339i | ||||
\(155\) | 7.12887i | 0.572605i | ||||||||
\(156\) | −0.532794 | − | 6.22223i | −0.0426576 | − | 0.498177i | ||||
\(157\) | −5.32283 | + | 3.07314i | −0.424808 | + | 0.245263i | −0.697132 | − | 0.716942i | \(-0.745541\pi\) |
0.272324 | + | 0.962206i | \(0.412208\pi\) | |||||||
\(158\) | 14.2780i | 1.13590i | ||||||||
\(159\) | −0.459378 | + | 0.760192i | −0.0364310 | + | 0.0602871i | ||||
\(160\) | −1.21163 | + | 0.699535i | −0.0957878 | + | 0.0553031i | ||||
\(161\) | 2.09375 | − | 6.32178i | 0.165011 | − | 0.498226i | ||||
\(162\) | 7.41028 | + | 5.10761i | 0.582207 | + | 0.401292i | ||||
\(163\) | −13.7896 | −1.08009 | −0.540044 | − | 0.841637i | \(-0.681593\pi\) | ||||
−0.540044 | + | 0.841637i | \(0.681593\pi\) | |||||||
\(164\) | 3.22591 | + | 5.58745i | 0.251902 | + | 0.436306i | ||||
\(165\) | 3.06626 | + | 0.0612435i | 0.238708 | + | 0.00476780i | ||||
\(166\) | −3.04900 | + | 1.76034i | −0.236648 | + | 0.136629i | ||||
\(167\) | −7.46828 | + | 12.9354i | −0.577913 | + | 1.00097i | 0.417805 | + | 0.908537i | \(0.362799\pi\) |
−0.995718 | + | 0.0924384i | \(0.970534\pi\) | |||||||
\(168\) | −4.32055 | − | 1.52735i | −0.333338 | − | 0.117838i | ||||
\(169\) | 12.7123 | − | 2.71989i | 0.977868 | − | 0.209222i | ||||
\(170\) | −8.32154 | − | 4.80444i | −0.638233 | − | 0.368484i | ||||
\(171\) | −11.6965 | − | 7.39095i | −0.894457 | − | 0.565200i | ||||
\(172\) | 12.1679 | 0.927796 | ||||||||
\(173\) | 5.48732 | 0.417193 | 0.208597 | − | 0.978002i | \(-0.433110\pi\) | ||||
0.208597 | + | 0.978002i | \(0.433110\pi\) | |||||||
\(174\) | 7.97445 | − | 4.39410i | 0.604541 | − | 0.333116i | ||||
\(175\) | 7.64175 | + | 2.53093i | 0.577662 | + | 0.191320i | ||||
\(176\) | 1.09604 | − | 0.632798i | 0.0826170 | − | 0.0476989i | ||||
\(177\) | −0.497181 | + | 24.8922i | −0.0373704 | + | 1.87101i | ||||
\(178\) | −13.7588 | − | 7.94368i | −1.03127 | − | 0.595404i | ||||
\(179\) | − | 6.22348i | − | 0.465164i | −0.972577 | − | 0.232582i | \(-0.925283\pi\) | ||
0.972577 | − | 0.232582i | \(-0.0747175\pi\) | |||||||
\(180\) | 4.19386 | + | 0.167598i | 0.312592 | + | 0.0124920i | ||||
\(181\) | 10.2706i | 0.763407i | 0.924285 | + | 0.381704i | \(0.124663\pi\) | ||||
−0.924285 | + | 0.381704i | \(0.875337\pi\) | |||||||
\(182\) | 2.02996 | − | 9.32091i | 0.150470 | − | 0.690911i | ||||
\(183\) | 2.57000 | + | 4.66406i | 0.189980 | + | 0.344777i | ||||
\(184\) | 1.25852 | + | 2.17983i | 0.0927795 | + | 0.160699i | ||||
\(185\) | −9.67310 | −0.711181 | ||||||||
\(186\) | 0.176241 | − | 8.82379i | 0.0129226 | − | 0.646992i | ||||
\(187\) | 7.52764 | + | 4.34609i | 0.550476 | + | 0.317817i | ||||
\(188\) | −1.58414 | − | 2.74382i | −0.115536 | − | 0.200113i | ||||
\(189\) | 8.50973 | + | 10.7974i | 0.618992 | + | 0.785397i | ||||
\(190\) | −6.45252 | −0.468115 | ||||||||
\(191\) | − | 9.71283i | − | 0.702796i | −0.936226 | − | 0.351398i | \(-0.885706\pi\) | ||
0.936226 | − | 0.351398i | \(-0.114294\pi\) | |||||||
\(192\) | 1.51699 | − | 0.835899i | 0.109480 | − | 0.0603258i | ||||
\(193\) | 5.46485 | 0.393368 | 0.196684 | − | 0.980467i | \(-0.436983\pi\) | ||||
0.196684 | + | 0.980467i | \(0.436983\pi\) | |||||||
\(194\) | 1.26293 | − | 2.18746i | 0.0906729 | − | 0.157050i | ||||
\(195\) | 0.745416 | + | 8.70534i | 0.0533804 | + | 0.623402i | ||||
\(196\) | −5.61612 | − | 4.17842i | −0.401151 | − | 0.298459i | ||||
\(197\) | −22.5837 | − | 13.0387i | −1.60902 | − | 0.928971i | −0.989589 | − | 0.143923i | \(-0.954028\pi\) |
−0.619435 | − | 0.785048i | \(-0.712638\pi\) | |||||||
\(198\) | −3.79376 | − | 0.151609i | −0.269611 | − | 0.0107744i | ||||
\(199\) | 11.8705 | + | 6.85344i | 0.841478 | + | 0.485828i | 0.857766 | − | 0.514040i | \(-0.171852\pi\) |
−0.0162883 | + | 0.999867i | \(0.505185\pi\) | |||||||
\(200\) | −2.63497 | + | 1.52130i | −0.186321 | + | 0.107572i | ||||
\(201\) | 0.947333 | − | 0.522002i | 0.0668197 | − | 0.0368192i | ||||
\(202\) | −7.30458 | + | 4.21730i | −0.513948 | + | 0.296728i | ||||
\(203\) | 13.6203 | − | 2.81449i | 0.955956 | − | 0.197539i | ||||
\(204\) | 10.1812 | + | 6.15244i | 0.712830 | + | 0.430757i | ||||
\(205\) | −4.51328 | − | 7.81723i | −0.315221 | − | 0.545979i | ||||
\(206\) | 11.8381 | 0.824803 | ||||||||
\(207\) | 0.301523 | − | 7.54512i | 0.0209573 | − | 0.524422i | ||||
\(208\) | 2.12124 | + | 2.91553i | 0.147082 | + | 0.202156i | ||||
\(209\) | 5.83693 | 0.403749 | ||||||||
\(210\) | 6.04476 | + | 2.13688i | 0.417128 | + | 0.147459i | ||||
\(211\) | 6.43745 | − | 11.1500i | 0.443172 | − | 0.767597i | −0.554751 | − | 0.832017i | \(-0.687186\pi\) |
0.997923 | + | 0.0644199i | \(0.0205197\pi\) | |||||||
\(212\) | − | 0.512809i | − | 0.0352199i | ||||||
\(213\) | −3.91924 | + | 6.48567i | −0.268542 | + | 0.444391i | ||||
\(214\) | −1.04311 | + | 1.80672i | −0.0713057 | + | 0.123505i | ||||
\(215\) | −17.0238 | −1.16101 | ||||||||
\(216\) | −5.18683 | − | 0.311127i | −0.352919 | − | 0.0211695i | ||||
\(217\) | 4.23853 | − | 12.7976i | 0.287730 | − | 0.868759i | ||||
\(218\) | 13.6840 | + | 7.90043i | 0.926794 | + | 0.535085i | ||||
\(219\) | 7.49258 | − | 12.3989i | 0.506302 | − | 0.837843i | ||||
\(220\) | −1.53343 | + | 0.885329i | −0.103384 | + | 0.0596889i | ||||
\(221\) | −10.0569 | + | 22.6290i | −0.676500 | + | 1.52219i | ||||
\(222\) | 11.9729 | + | 0.239140i | 0.803570 | + | 0.0160500i | ||||
\(223\) | 17.8707 | + | 10.3176i | 1.19671 | + | 0.690919i | 0.959820 | − | 0.280618i | \(-0.0905393\pi\) |
0.236888 | + | 0.971537i | \(0.423873\pi\) | |||||||
\(224\) | 2.59101 | − | 0.535407i | 0.173119 | − | 0.0357734i | ||||
\(225\) | 9.12053 | + | 0.364481i | 0.608035 | + | 0.0242987i | ||||
\(226\) | 6.16378 | − | 10.6760i | 0.410009 | − | 0.710156i | ||||
\(227\) | −9.10254 | + | 15.7661i | −0.604157 | + | 1.04643i | 0.388027 | + | 0.921648i | \(0.373157\pi\) |
−0.992184 | + | 0.124783i | \(0.960177\pi\) | |||||||
\(228\) | 7.98663 | + | 0.159520i | 0.528928 | + | 0.0105645i | ||||
\(229\) | −16.0335 | − | 9.25697i | −1.05953 | − | 0.611717i | −0.134225 | − | 0.990951i | \(-0.542854\pi\) |
−0.925301 | + | 0.379233i | \(0.876188\pi\) | |||||||
\(230\) | −1.76076 | − | 3.04973i | −0.116101 | − | 0.201093i | ||||
\(231\) | −5.46808 | − | 1.93301i | −0.359773 | − | 0.127183i | ||||
\(232\) | −2.62837 | + | 4.55247i | −0.172561 | + | 0.298884i | ||||
\(233\) | 9.27681 | + | 5.35597i | 0.607744 | + | 0.350881i | 0.772082 | − | 0.635523i | \(-0.219215\pi\) |
−0.164338 | + | 0.986404i | \(0.552549\pi\) | |||||||
\(234\) | −0.707428 | − | 10.7935i | −0.0462460 | − | 0.705593i | ||||
\(235\) | 2.21633 | + | 3.83879i | 0.144577 | + | 0.250415i | ||||
\(236\) | −7.18719 | − | 12.4486i | −0.467847 | − | 0.810334i | ||||
\(237\) | −0.493849 | + | 24.7254i | −0.0320789 | + | 1.60608i | ||||
\(238\) | 12.0821 | + | 13.5725i | 0.783169 | + | 0.879774i | ||||
\(239\) | 3.88709i | 0.251435i | 0.992066 | + | 0.125718i | \(0.0401233\pi\) | ||||
−0.992066 | + | 0.125718i | \(0.959877\pi\) | |||||||
\(240\) | −2.12238 | + | 1.16948i | −0.136999 | + | 0.0754897i | ||||
\(241\) | −5.35649 | − | 3.09257i | −0.345042 | − | 0.199210i | 0.317458 | − | 0.948272i | \(-0.397171\pi\) |
−0.662499 | + | 0.749063i | \(0.730504\pi\) | |||||||
\(242\) | −8.13914 | + | 4.69913i | −0.523204 | + | 0.302072i | ||||
\(243\) | 12.6558 | + | 9.10119i | 0.811868 | + | 0.583842i | ||||
\(244\) | −2.66263 | − | 1.53727i | −0.170457 | − | 0.0984136i | ||||
\(245\) | 7.85734 | + | 5.84591i | 0.501987 | + | 0.373481i | ||||
\(246\) | 5.39307 | + | 9.78739i | 0.343850 | + | 0.624021i | ||||
\(247\) | 1.74927 | + | 16.5366i | 0.111303 | + | 1.05220i | ||||
\(248\) | 2.54772 | + | 4.41277i | 0.161780 | + | 0.280211i | ||||
\(249\) | −5.34085 | + | 2.94293i | −0.338463 | + | 0.186501i | ||||
\(250\) | 9.74466 | − | 5.62608i | 0.616307 | − | 0.355825i | ||||
\(251\) | −0.889061 | − | 1.53990i | −0.0561171 | − | 0.0971976i | 0.836602 | − | 0.547811i | \(-0.184539\pi\) |
−0.892719 | + | 0.450613i | \(0.851205\pi\) | |||||||
\(252\) | −7.42910 | − | 2.79437i | −0.467989 | − | 0.176029i | ||||
\(253\) | 1.59278 | + | 2.75878i | 0.100137 | + | 0.173443i | ||||
\(254\) | 8.83605i | 0.554423i | ||||||||
\(255\) | −14.2443 | − | 8.60770i | −0.892011 | − | 0.539035i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 6.01246 | + | 10.4139i | 0.375047 | + | 0.649600i | 0.990334 | − | 0.138703i | \(-0.0442933\pi\) |
−0.615287 | + | 0.788303i | \(0.710960\pi\) | |||||||
\(258\) | 21.0713 | + | 0.420864i | 1.31184 | + | 0.0262019i | ||||
\(259\) | 17.3650 | + | 5.75123i | 1.07901 | + | 0.357364i | ||||
\(260\) | −2.96777 | − | 4.07903i | −0.184053 | − | 0.252971i | ||||
\(261\) | 13.9614 | − | 7.33347i | 0.864188 | − | 0.453930i | ||||
\(262\) | 17.3741i | 1.07338i | ||||||||
\(263\) | 1.89489i | 0.116844i | 0.998292 | + | 0.0584219i | \(0.0186069\pi\) | ||||
−0.998292 | + | 0.0584219i | \(0.981393\pi\) | |||||||
\(264\) | 1.91990 | − | 1.05791i | 0.118162 | − | 0.0651099i | ||||
\(265\) | 0.717456i | 0.0440730i | ||||||||
\(266\) | 11.5834 | + | 3.83640i | 0.710226 | + | 0.235225i | ||||
\(267\) | −23.5515 | − | 14.2320i | −1.44133 | − | 0.870984i | ||||
\(268\) | −0.312240 | + | 0.540816i | −0.0190731 | + | 0.0330356i | ||||
\(269\) | −12.4864 | + | 21.6270i | −0.761306 | + | 1.31862i | 0.180871 | + | 0.983507i | \(0.442108\pi\) |
−0.942177 | + | 0.335115i | \(0.891225\pi\) | |||||||
\(270\) | 7.25674 | + | 0.435288i | 0.441631 | + | 0.0264908i | ||||
\(271\) | 6.91993 | − | 3.99522i | 0.420356 | − | 0.242693i | −0.274874 | − | 0.961480i | \(-0.588636\pi\) |
0.695230 | + | 0.718788i | \(0.255303\pi\) | |||||||
\(272\) | −6.86805 | −0.416437 | ||||||||
\(273\) | 3.83768 | − | 16.0709i | 0.232267 | − | 0.972652i | ||||
\(274\) | 7.08381 | 0.427948 | ||||||||
\(275\) | −3.33481 | + | 1.92535i | −0.201097 | + | 0.116103i | ||||
\(276\) | 2.10400 | + | 3.81835i | 0.126646 | + | 0.229837i | ||||
\(277\) | 8.28352 | − | 14.3475i | 0.497708 | − | 0.862056i | −0.502288 | − | 0.864700i | \(-0.667508\pi\) |
0.999997 | + | 0.00264429i | \(0.000841705\pi\) | |||||||
\(278\) | −1.11939 | + | 1.93885i | −0.0671367 | + | 0.116284i | ||||
\(279\) | 0.610395 | − | 15.2741i | 0.0365434 | − | 0.914437i | ||||
\(280\) | −3.62501 | + | 0.749072i | −0.216636 | + | 0.0447656i | ||||
\(281\) | 1.18198i | 0.0705110i | 0.999378 | + | 0.0352555i | \(0.0112245\pi\) | ||||
−0.999378 | + | 0.0352555i | \(0.988776\pi\) | |||||||
\(282\) | −2.64837 | − | 4.80628i | −0.157708 | − | 0.286210i | ||||
\(283\) | − | 32.8544i | − | 1.95299i | −0.215542 | − | 0.976495i | \(-0.569152\pi\) | ||
0.215542 | − | 0.976495i | \(-0.430848\pi\) | |||||||
\(284\) | − | 4.37510i | − | 0.259614i | ||||||
\(285\) | −11.1739 | − | 0.223180i | −0.661882 | − | 0.0132200i | ||||
\(286\) | 2.68464 | + | 3.68989i | 0.158746 | + | 0.218187i | ||||
\(287\) | 3.45435 | + | 16.7168i | 0.203904 | + | 0.986759i | ||||
\(288\) | 2.65590 | − | 1.39506i | 0.156500 | − | 0.0822047i | ||||
\(289\) | −15.0850 | − | 26.1281i | −0.887356 | − | 1.53695i | ||||
\(290\) | 3.67727 | − | 6.36923i | 0.215937 | − | 0.374014i | ||||
\(291\) | 2.26268 | − | 3.74435i | 0.132641 | − | 0.219497i | ||||
\(292\) | 8.36406i | 0.489470i | ||||||||
\(293\) | −2.82022 | − | 4.88477i | −0.164759 | − | 0.285371i | 0.771811 | − | 0.635852i | \(-0.219351\pi\) |
−0.936570 | + | 0.350481i | \(0.886018\pi\) | |||||||
\(294\) | −9.58094 | − | 7.43005i | −0.558772 | − | 0.433329i | ||||
\(295\) | 10.0554 | + | 17.4164i | 0.585447 | + | 1.01402i | ||||
\(296\) | −5.98766 | + | 3.45697i | −0.348025 | + | 0.200933i | ||||
\(297\) | −6.56443 | − | 0.393761i | −0.380907 | − | 0.0228483i | ||||
\(298\) | −4.99921 | − | 8.65889i | −0.289597 | − | 0.501596i | ||||
\(299\) | −7.33853 | + | 5.33927i | −0.424398 | + | 0.308778i | ||||
\(300\) | −4.61561 | + | 2.54331i | −0.266482 | + | 0.146838i | ||||
\(301\) | 30.5608 | + | 10.1216i | 1.76149 | + | 0.583402i | ||||
\(302\) | −6.24397 | − | 3.60495i | −0.359300 | − | 0.207442i | ||||
\(303\) | −12.7952 | + | 7.05047i | −0.735068 | + | 0.405039i | ||||
\(304\) | −3.99411 | + | 2.30600i | −0.229078 | + | 0.132258i | ||||
\(305\) | 3.72520 | + | 2.15075i | 0.213305 | + | 0.123151i | ||||
\(306\) | 17.4181 | + | 11.0064i | 0.995727 | + | 0.629192i | ||||
\(307\) | 25.4559i | 1.45284i | 0.687249 | + | 0.726422i | \(0.258818\pi\) | ||||
−0.687249 | + | 0.726422i | \(0.741182\pi\) | |||||||
\(308\) | 3.27917 | − | 0.677609i | 0.186848 | − | 0.0386103i | ||||
\(309\) | 20.5002 | + | 0.409458i | 1.16621 | + | 0.0232933i | ||||
\(310\) | −3.56443 | − | 6.17378i | −0.202446 | − | 0.350647i | ||||
\(311\) | −7.30444 | − | 12.6517i | −0.414197 | − | 0.717410i | 0.581147 | − | 0.813798i | \(-0.302604\pi\) |
−0.995344 | + | 0.0963890i | \(0.969271\pi\) | |||||||
\(312\) | 3.57253 | + | 5.12221i | 0.202255 | + | 0.289988i | ||||
\(313\) | −9.58723 | − | 5.53519i | −0.541902 | − | 0.312868i | 0.203947 | − | 0.978982i | \(-0.434623\pi\) |
−0.745850 | + | 0.666114i | \(0.767956\pi\) | |||||||
\(314\) | 3.07314 | − | 5.32283i | 0.173427 | − | 0.300385i | ||||
\(315\) | 10.3938 | + | 3.90952i | 0.585626 | + | 0.220276i | ||||
\(316\) | −7.13902 | − | 12.3651i | −0.401601 | − | 0.695594i | ||||
\(317\) | 13.3841 | + | 7.72732i | 0.751727 | + | 0.434010i | 0.826318 | − | 0.563205i | \(-0.190432\pi\) |
−0.0745906 | + | 0.997214i | \(0.523765\pi\) | |||||||
\(318\) | 0.0177370 | − | 0.888034i | 0.000994644 | − | 0.0497985i | ||||
\(319\) | −3.32645 | + | 5.76159i | −0.186246 | + | 0.322587i | ||||
\(320\) | 0.699535 | − | 1.21163i | 0.0391052 | − | 0.0677322i | ||||
\(321\) | −1.86885 | + | 3.09263i | −0.104309 | + | 0.172614i | ||||
\(322\) | 1.34764 | + | 6.52169i | 0.0751012 | + | 0.363440i | ||||
\(323\) | −27.4318 | − | 15.8377i | −1.52634 | − | 0.881235i | ||||
\(324\) | −8.97130 | − | 0.718182i | −0.498406 | − | 0.0398990i | ||||
\(325\) | −6.45410 | − | 8.87080i | −0.358009 | − | 0.492064i | ||||
\(326\) | 11.9422 | − | 6.89482i | 0.661417 | − | 0.381869i | ||||
\(327\) | 23.4233 | + | 14.1545i | 1.29531 | + | 0.782747i | ||||
\(328\) | −5.58745 | − | 3.22591i | −0.308515 | − | 0.178121i | ||||
\(329\) | −1.69632 | − | 8.20907i | −0.0935213 | − | 0.452581i | ||||
\(330\) | −2.68608 | + | 1.48009i | −0.147864 | + | 0.0814763i | ||||
\(331\) | −0.993316 | −0.0545976 | −0.0272988 | − | 0.999627i | \(-0.508691\pi\) | ||||
−0.0272988 | + | 0.999627i | \(0.508691\pi\) | |||||||
\(332\) | 1.76034 | − | 3.04900i | 0.0966111 | − | 0.167335i | ||||
\(333\) | 20.7253 | + | 0.828239i | 1.13574 | + | 0.0453872i | ||||
\(334\) | − | 14.9366i | − | 0.817293i | ||||||
\(335\) | 0.436846 | − | 0.756639i | 0.0238674 | − | 0.0413396i | ||||
\(336\) | 4.50539 | − | 0.837549i | 0.245789 | − | 0.0456920i | ||||
\(337\) | 16.8178 | 0.916123 | 0.458061 | − | 0.888921i | \(-0.348544\pi\) | ||||
0.458061 | + | 0.888921i | \(0.348544\pi\) | |||||||
\(338\) | −9.64922 | + | 8.71164i | −0.524848 | + | 0.473851i | ||||
\(339\) | 11.0431 | − | 18.2745i | 0.599780 | − | 0.992533i | ||||
\(340\) | 9.60888 | 0.521115 | ||||||||
\(341\) | 3.22438 | + | 5.58479i | 0.174610 | + | 0.302433i | ||||
\(342\) | 13.8250 | + | 0.552483i | 0.747569 | + | 0.0298749i | ||||
\(343\) | −10.6296 | − | 15.1661i | −0.573946 | − | 0.818893i | ||||
\(344\) | −10.5377 | + | 6.08396i | −0.568157 | + | 0.328025i | ||||
\(345\) | −2.94364 | − | 5.34213i | −0.158480 | − | 0.287611i | ||||
\(346\) | −4.75216 | + | 2.74366i | −0.255478 | + | 0.147500i | ||||
\(347\) | −7.63572 | − | 4.40848i | −0.409907 | − | 0.236660i | 0.280843 | − | 0.959754i | \(-0.409386\pi\) |
−0.690750 | + | 0.723094i | \(0.742719\pi\) | |||||||
\(348\) | −4.70902 | + | 7.79263i | −0.252430 | + | 0.417729i | ||||
\(349\) | −11.1058 | − | 6.41193i | −0.594479 | − | 0.343223i | 0.172388 | − | 0.985029i | \(-0.444852\pi\) |
−0.766866 | + | 0.641807i | \(0.778185\pi\) | |||||||
\(350\) | −7.88342 | + | 1.62903i | −0.421386 | + | 0.0870753i | ||||
\(351\) | −0.851731 | − | 18.7156i | −0.0454620 | − | 0.998966i | ||||
\(352\) | −0.632798 | + | 1.09604i | −0.0337282 | + | 0.0584190i | ||||
\(353\) | 34.4686 | 1.83458 | 0.917289 | − | 0.398222i | \(-0.130373\pi\) | ||||
0.917289 | + | 0.398222i | \(0.130373\pi\) | |||||||
\(354\) | −12.0155 | − | 21.8059i | −0.638618 | − | 1.15897i | ||||
\(355\) | 6.12107i | 0.324872i | ||||||||
\(356\) | 15.8874 | 0.842028 | ||||||||
\(357\) | 20.4533 | + | 23.9214i | 1.08250 | + | 1.26606i | ||||
\(358\) | 3.11174 | + | 5.38969i | 0.164460 | + | 0.284854i | ||||
\(359\) | −24.1704 | − | 13.9548i | −1.27567 | − | 0.736506i | −0.299617 | − | 0.954060i | \(-0.596859\pi\) |
−0.976048 | + | 0.217554i | \(0.930192\pi\) | |||||||
\(360\) | −3.71579 | + | 1.95179i | −0.195839 | + | 0.102868i | ||||
\(361\) | −2.27057 | −0.119504 | ||||||||
\(362\) | −5.13530 | − | 8.89460i | −0.269905 | − | 0.467490i | ||||
\(363\) | −14.2571 | + | 7.85600i | −0.748305 | + | 0.412333i | ||||
\(364\) | 2.90246 | + | 9.08712i | 0.152130 | + | 0.476294i | ||||
\(365\) | − | 11.7019i | − | 0.612506i | ||||||
\(366\) | −4.55772 | − | 2.75419i | −0.238236 | − | 0.143964i | ||||
\(367\) | 3.39933i | 0.177444i | 0.996056 | + | 0.0887219i | \(0.0282782\pi\) | ||||
−0.996056 | + | 0.0887219i | \(0.971722\pi\) | |||||||
\(368\) | −2.17983 | − | 1.25852i | −0.113631 | − | 0.0656050i | ||||
\(369\) | 9.00069 | + | 17.1354i | 0.468557 | + | 0.892034i | ||||
\(370\) | 8.37715 | − | 4.83655i | 0.435507 | − | 0.251440i | ||||
\(371\) | 0.426570 | − | 1.28796i | 0.0221464 | − | 0.0668677i | ||||
\(372\) | 4.25927 | + | 7.72975i | 0.220833 | + | 0.400769i | ||||
\(373\) | 8.44346 | 0.437186 | 0.218593 | − | 0.975816i | \(-0.429853\pi\) | ||||
0.218593 | + | 0.975816i | \(0.429853\pi\) | |||||||
\(374\) | −8.69218 | −0.449462 | ||||||||
\(375\) | 17.0695 | − | 9.40567i | 0.881464 | − | 0.485707i | ||||
\(376\) | 2.74382 | + | 1.58414i | 0.141502 | + | 0.0816960i | ||||
\(377\) | −17.3200 | − | 7.69746i | −0.892025 | − | 0.396439i | ||||
\(378\) | −12.7684 | − | 5.09598i | −0.656734 | − | 0.262109i | ||||
\(379\) | −12.2942 | + | 21.2942i | −0.631512 | + | 1.09381i | 0.355730 | + | 0.934589i | \(0.384232\pi\) |
−0.987243 | + | 0.159223i | \(0.949101\pi\) | |||||||
\(380\) | 5.58804 | − | 3.22626i | 0.286661 | − | 0.165504i | ||||
\(381\) | −0.305621 | + | 15.3014i | −0.0156575 | + | 0.783916i | ||||
\(382\) | 4.85641 | + | 8.41156i | 0.248476 | + | 0.430373i | ||||
\(383\) | −24.6588 | −1.26001 | −0.630003 | − | 0.776592i | \(-0.716947\pi\) | ||||
−0.630003 | + | 0.776592i | \(0.716947\pi\) | |||||||
\(384\) | −0.895807 | + | 1.48241i | −0.0457139 | + | 0.0756488i | ||||
\(385\) | −4.58779 | + | 0.948022i | −0.233816 | + | 0.0483157i | ||||
\(386\) | −4.73270 | + | 2.73242i | −0.240888 | + | 0.139077i | ||||
\(387\) | 36.4747 | + | 1.45763i | 1.85411 | + | 0.0740953i | ||||
\(388\) | 2.52586i | 0.128231i | ||||||||
\(389\) | 3.13636 | − | 1.81078i | 0.159020 | − | 0.0918101i | −0.418378 | − | 0.908273i | \(-0.637401\pi\) |
0.577398 | + | 0.816463i | \(0.304068\pi\) | |||||||
\(390\) | −4.99822 | − | 7.16633i | −0.253095 | − | 0.362881i | ||||
\(391\) | − | 17.2872i | − | 0.874251i | ||||||
\(392\) | 6.95291 | + | 0.810561i | 0.351175 | + | 0.0409395i | ||||
\(393\) | −0.600937 | + | 30.0869i | −0.0303132 | + | 1.51768i | ||||
\(394\) | 26.0774 | 1.31376 | ||||||||
\(395\) | 9.98799 | + | 17.2997i | 0.502550 | + | 0.870443i | ||||
\(396\) | 3.36130 | − | 1.76558i | 0.168912 | − | 0.0887239i | ||||
\(397\) | − | 14.0275i | − | 0.704018i | −0.935997 | − | 0.352009i | \(-0.885499\pi\) | ||
0.935997 | − | 0.352009i | \(-0.114501\pi\) | |||||||
\(398\) | −13.7069 | −0.687064 | ||||||||
\(399\) | 19.9264 | + | 7.04417i | 0.997568 | + | 0.352649i | ||||
\(400\) | 1.52130 | − | 2.63497i | 0.0760651 | − | 0.131749i | ||||
\(401\) | −27.6911 | + | 15.9875i | −1.38283 | + | 0.798376i | −0.992494 | − | 0.122296i | \(-0.960974\pi\) |
−0.390335 | + | 0.920673i | \(0.627641\pi\) | |||||||
\(402\) | −0.559414 | + | 0.925734i | −0.0279010 | + | 0.0461714i | ||||
\(403\) | −14.8559 | + | 10.8087i | −0.740025 | + | 0.538418i | ||||
\(404\) | 4.21730 | − | 7.30458i | 0.209819 | − | 0.363416i | ||||
\(405\) | 12.5515 | + | 1.00479i | 0.623688 | + | 0.0499282i | ||||
\(406\) | −10.3883 | + | 9.24756i | −0.515560 | + | 0.458949i | ||||
\(407\) | −7.57795 | + | 4.37513i | −0.375625 | + | 0.216867i | ||||
\(408\) | −11.8934 | − | 0.237552i | −0.588813 | − | 0.0117606i | ||||
\(409\) | −0.481903 | − | 0.278227i | −0.0238286 | − | 0.0137574i | 0.488038 | − | 0.872822i | \(-0.337713\pi\) |
−0.511867 | + | 0.859065i | \(0.671046\pi\) | |||||||
\(410\) | 7.81723 | + | 4.51328i | 0.386066 | + | 0.222895i | ||||
\(411\) | 12.2671 | + | 0.245015i | 0.605090 | + | 0.0120857i | ||||
\(412\) | −10.2521 | + | 5.91907i | −0.505087 | + | 0.291612i | ||||
\(413\) | −7.69615 | − | 37.2442i | −0.378703 | − | 1.83267i | ||||
\(414\) | 3.51143 | + | 6.68502i | 0.172577 | + | 0.328551i | ||||
\(415\) | −2.46284 | + | 4.26576i | −0.120896 | + | 0.209398i | ||||
\(416\) | −3.29482 | − | 1.46430i | −0.161542 | − | 0.0717933i | ||||
\(417\) | −2.00552 | + | 3.31879i | −0.0982107 | + | 0.162522i | ||||
\(418\) | −5.05493 | + | 2.91847i | −0.247245 | + | 0.142747i | ||||
\(419\) | −7.69809 | + | 13.3335i | −0.376076 | + | 0.651383i | −0.990488 | − | 0.137603i | \(-0.956060\pi\) |
0.614411 | + | 0.788986i | \(0.289394\pi\) | |||||||
\(420\) | −6.30335 | + | 1.17179i | −0.307572 | + | 0.0571775i | ||||
\(421\) | 5.44197 | 0.265225 | 0.132613 | − | 0.991168i | \(-0.457663\pi\) | ||||
0.132613 | + | 0.991168i | \(0.457663\pi\) | |||||||
\(422\) | 12.8749i | 0.626740i | ||||||||
\(423\) | −4.41995 | − | 8.41465i | −0.214905 | − | 0.409135i | ||||
\(424\) | 0.256405 | + | 0.444106i | 0.0124521 | + | 0.0215677i | ||||
\(425\) | 20.8967 | 1.01364 | ||||||||
\(426\) | 0.151326 | − | 7.57638i | 0.00733176 | − | 0.367077i | ||||
\(427\) | −5.40867 | − | 6.07584i | −0.261744 | − | 0.294030i | ||||
\(428\) | − | 2.08622i | − | 0.100841i | ||||||
\(429\) | 4.52138 | + | 6.48265i | 0.218294 | + | 0.312985i | ||||
\(430\) | 14.7430 | − | 8.51189i | 0.710972 | − | 0.410480i | ||||
\(431\) | 22.8528i | 1.10078i | 0.834907 | + | 0.550391i | \(0.185521\pi\) | ||||
−0.834907 | + | 0.550391i | \(0.814479\pi\) | |||||||
\(432\) | 4.64749 | − | 2.32397i | 0.223602 | − | 0.111812i | ||||
\(433\) | −6.71928 | + | 3.87938i | −0.322908 | + | 0.186431i | −0.652688 | − | 0.757627i | \(-0.726359\pi\) |
0.329780 | + | 0.944058i | \(0.393025\pi\) | |||||||
\(434\) | 2.72813 | + | 13.2023i | 0.130954 | + | 0.633732i | ||||
\(435\) | 6.58825 | − | 10.9024i | 0.315883 | − | 0.522732i | ||||
\(436\) | −15.8009 | −0.756724 | ||||||||
\(437\) | −5.80431 | − | 10.0534i | −0.277658 | − | 0.480918i | ||||
\(438\) | −0.289296 | + | 14.4841i | −0.0138231 | + | 0.692077i | ||||
\(439\) | −36.0776 | + | 20.8294i | −1.72189 | + | 0.994134i | −0.806865 | + | 0.590736i | \(0.798838\pi\) |
−0.915025 | + | 0.403398i | \(0.867829\pi\) | |||||||
\(440\) | 0.885329 | − | 1.53343i | 0.0422064 | − | 0.0731036i | ||||
\(441\) | −16.3344 | − | 13.1980i | −0.777827 | − | 0.628478i | ||||
\(442\) | −2.60495 | − | 24.6257i | −0.123905 | − | 1.17133i | ||||
\(443\) | 22.4612 | + | 12.9680i | 1.06716 | + | 0.616127i | 0.927405 | − | 0.374059i | \(-0.122034\pi\) |
0.139758 | + | 0.990186i | \(0.455368\pi\) | |||||||
\(444\) | −10.4884 | + | 5.77936i | −0.497759 | + | 0.274276i | ||||
\(445\) | −22.2275 | −1.05369 | ||||||||
\(446\) | −20.6353 | −0.977108 | ||||||||
\(447\) | −8.35767 | − | 15.1676i | −0.395304 | − | 0.717401i | ||||
\(448\) | −1.97618 | + | 1.75918i | −0.0933656 | + | 0.0831135i | ||||
\(449\) | −5.20037 | + | 3.00244i | −0.245421 | + | 0.141694i | −0.617666 | − | 0.786441i | \(-0.711921\pi\) |
0.372245 | + | 0.928135i | \(0.378588\pi\) | |||||||
\(450\) | −8.08085 | + | 4.24461i | −0.380935 | + | 0.200093i | ||||
\(451\) | −7.07145 | − | 4.08270i | −0.332982 | − | 0.192247i | ||||
\(452\) | 12.3276i | 0.579840i | ||||||||
\(453\) | −10.6880 | − | 6.45869i | −0.502167 | − | 0.303456i | ||||
\(454\) | − | 18.2051i | − | 0.854407i | ||||||
\(455\) | −4.06074 | − | 12.7135i | −0.190371 | − | 0.596019i | ||||
\(456\) | −6.99639 | + | 3.85517i | −0.327636 | + | 0.180535i | ||||
\(457\) | 14.8245 | + | 25.6767i | 0.693460 | + | 1.20111i | 0.970697 | + | 0.240306i | \(0.0772478\pi\) |
−0.277237 | + | 0.960801i | \(0.589419\pi\) | |||||||
\(458\) | 18.5139 | 0.865099 | ||||||||
\(459\) | 29.7824 | + | 19.6622i | 1.39012 | + | 0.917755i | ||||
\(460\) | 3.04973 | + | 1.76076i | 0.142194 | + | 0.0820960i | ||||
\(461\) | 3.80284 | + | 6.58672i | 0.177116 | + | 0.306774i | 0.940892 | − | 0.338708i | \(-0.109990\pi\) |
−0.763775 | + | 0.645482i | \(0.776657\pi\) | |||||||
\(462\) | 5.70200 | − | 1.06000i | 0.265281 | − | 0.0493156i | ||||
\(463\) | −13.7605 | −0.639506 | −0.319753 | − | 0.947501i | \(-0.603600\pi\) | ||||
−0.319753 | + | 0.947501i | \(0.603600\pi\) | |||||||
\(464\) | − | 5.25674i | − | 0.244038i | ||||||
\(465\) | −5.95901 | − | 10.8145i | −0.276343 | − | 0.501509i | ||||
\(466\) | −10.7119 | −0.496221 | ||||||||
\(467\) | 8.10576 | − | 14.0396i | 0.375090 | − | 0.649675i | −0.615250 | − | 0.788332i | \(-0.710945\pi\) |
0.990341 | + | 0.138657i | \(0.0442785\pi\) | |||||||
\(468\) | 6.00940 | + | 8.99373i | 0.277785 | + | 0.415735i | ||||
\(469\) | −1.23408 | + | 1.09857i | −0.0569847 | + | 0.0507274i | ||||
\(470\) | −3.83879 | − | 2.21633i | −0.177070 | − | 0.102232i | ||||
\(471\) | 5.50588 | − | 9.11128i | 0.253697 | − | 0.419826i | ||||
\(472\) | 12.4486 | + | 7.18719i | 0.572993 | + | 0.330817i | ||||
\(473\) | −13.3365 | + | 7.69984i | −0.613214 | + | 0.354039i | ||||
\(474\) | −11.9350 | − | 21.6597i | −0.548192 | − | 0.994864i | ||||
\(475\) | 12.1525 | − | 7.01625i | 0.557595 | − | 0.321927i | ||||
\(476\) | −17.2497 | − | 5.71305i | −0.790638 | − | 0.261857i | ||||
\(477\) | 0.0614307 | − | 1.53720i | 0.00281272 | − | 0.0703836i | ||||
\(478\) | −1.94355 | − | 3.36632i | −0.0888958 | − | 0.153972i | ||||
\(479\) | 7.66898 | 0.350405 | 0.175202 | − | 0.984532i | \(-0.443942\pi\) | ||||
0.175202 | + | 0.984532i | \(0.443942\pi\) | |||||||
\(480\) | 1.25330 | − | 2.07399i | 0.0572049 | − | 0.0946643i | ||||
\(481\) | −14.6662 | − | 20.1578i | −0.668720 | − | 0.919118i | ||||
\(482\) | 6.18514 | 0.281725 | ||||||||
\(483\) | 2.10815 | + | 11.3403i | 0.0959241 | + | 0.516000i | ||||
\(484\) | 4.69913 | − | 8.13914i | 0.213597 | − | 0.369961i | ||||
\(485\) | − | 3.53385i | − | 0.160464i | ||||||
\(486\) | −15.5108 | − | 1.55398i | −0.703585 | − | 0.0704899i | ||||
\(487\) | −0.626367 | + | 1.08490i | −0.0283834 | + | 0.0491615i | −0.879868 | − | 0.475218i | \(-0.842369\pi\) |
0.851485 | + | 0.524379i | \(0.175703\pi\) | |||||||
\(488\) | 3.07454 | 0.139178 | ||||||||
\(489\) | 20.9188 | − | 11.5267i | 0.945982 | − | 0.521258i | ||||
\(490\) | −9.72761 | − | 1.13403i | −0.439449 | − | 0.0512303i | ||||
\(491\) | −1.78584 | − | 1.03105i | −0.0805938 | − | 0.0465308i | 0.459162 | − | 0.888353i | \(-0.348150\pi\) |
−0.539755 | + | 0.841822i | \(0.681483\pi\) | |||||||
\(492\) | −9.56423 | − | 5.77959i | −0.431189 | − | 0.260564i | ||||
\(493\) | 31.2666 | − | 18.0518i | 1.40818 | − | 0.813011i | ||||
\(494\) | −9.78318 | − | 13.4464i | −0.440166 | − | 0.604984i | ||||
\(495\) | −4.70269 | + | 2.47017i | −0.211370 | + | 0.111026i | ||||
\(496\) | −4.41277 | − | 2.54772i | −0.198139 | − | 0.114396i | ||||
\(497\) | 3.63933 | − | 10.9884i | 0.163246 | − | 0.492898i | ||||
\(498\) | 3.15385 | − | 5.21908i | 0.141327 | − | 0.233872i | ||||
\(499\) | −6.12234 | + | 10.6042i | −0.274074 | + | 0.474710i | −0.969901 | − | 0.243500i | \(-0.921705\pi\) |
0.695827 | + | 0.718209i | \(0.255038\pi\) | |||||||
\(500\) | −5.62608 | + | 9.74466i | −0.251606 | + | 0.435795i | ||||
\(501\) | 0.516626 | − | 25.8657i | 0.0230812 | − | 1.15560i | ||||
\(502\) | 1.53990 | + | 0.889061i | 0.0687291 | + | 0.0396808i | ||||
\(503\) | −19.8446 | − | 34.3719i | −0.884828 | − | 1.53257i | −0.845911 | − | 0.533324i | \(-0.820943\pi\) |
−0.0389171 | − | 0.999242i | \(-0.512391\pi\) | |||||||
\(504\) | 7.83097 | − | 1.29456i | 0.348819 | − | 0.0576641i | ||||
\(505\) | −5.90030 | + | 10.2196i | −0.262560 | + | 0.454767i | ||||
\(506\) | −2.75878 | − | 1.59278i | −0.122643 | − | 0.0708078i | ||||
\(507\) | −17.0109 | + | 14.7522i | −0.755481 | + | 0.655170i | ||||
\(508\) | −4.41803 | − | 7.65224i | −0.196018 | − | 0.339513i | ||||
\(509\) | −11.4006 | − | 19.7465i | −0.505325 | − | 0.875248i | −0.999981 | − | 0.00615918i | \(-0.998039\pi\) |
0.494657 | − | 0.869089i | \(-0.335294\pi\) | |||||||
\(510\) | 16.6398 | + | 0.332352i | 0.736821 | + | 0.0147168i | ||||
\(511\) | −6.95747 | + | 21.0070i | −0.307781 | + | 0.929297i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 23.9217 | + | 1.43492i | 1.05617 | + | 0.0633531i | ||||
\(514\) | −10.4139 | − | 6.01246i | −0.459337 | − | 0.265198i | ||||
\(515\) | 14.3435 | − | 8.28120i | 0.632048 | − | 0.364913i | ||||
\(516\) | −18.4587 | + | 10.1712i | −0.812598 | + | 0.447760i | ||||
\(517\) | 3.47256 | + | 2.00489i | 0.152723 | + | 0.0881748i | ||||
\(518\) | −17.9141 | + | 3.70178i | −0.787101 | + | 0.162647i | ||||
\(519\) | −8.32424 | + | 4.58684i | −0.365393 | + | 0.201340i | ||||
\(520\) | 4.60968 | + | 2.04866i | 0.202148 | + | 0.0898398i | ||||
\(521\) | −1.95101 | − | 3.37925i | −0.0854752 | − | 0.148047i | 0.820118 | − | 0.572194i | \(-0.193908\pi\) |
−0.905594 | + | 0.424146i | \(0.860574\pi\) | |||||||
\(522\) | −8.42417 | + | 13.3317i | −0.368716 | + | 0.583511i | ||||
\(523\) | −6.73834 | + | 3.89038i | −0.294647 | + | 0.170115i | −0.640036 | − | 0.768345i | \(-0.721080\pi\) |
0.345389 | + | 0.938460i | \(0.387747\pi\) | |||||||
\(524\) | −8.68707 | − | 15.0464i | −0.379496 | − | 0.657307i | ||||
\(525\) | −13.7081 | + | 2.54833i | −0.598271 | + | 0.111218i | ||||
\(526\) | −0.947444 | − | 1.64102i | −0.0413105 | − | 0.0715520i | ||||
\(527\) | − | 34.9957i | − | 1.52444i | ||||||
\(528\) | −1.13373 | + | 1.87613i | −0.0493392 | + | 0.0816480i | ||||
\(529\) | −8.33224 | + | 14.4319i | −0.362271 | + | 0.627472i | ||||
\(530\) | −0.358728 | − | 0.621335i | −0.0155821 | − | 0.0269891i | ||||
\(531\) | −20.0531 | − | 38.1769i | −0.870232 | − | 1.65674i | ||||
\(532\) | −11.9498 | + | 2.46930i | −0.518087 | + | 0.107058i | ||||
\(533\) | 9.44743 | − | 21.2576i | 0.409213 | − | 0.920769i | ||||
\(534\) | 27.5122 | + | 0.549512i | 1.19057 | + | 0.0237797i | ||||
\(535\) | 2.91877i | 0.126190i | ||||||||
\(536\) | − | 0.624480i | − | 0.0269734i | ||||||
\(537\) | 5.20219 | + | 9.44098i | 0.224491 | + | 0.407408i | ||||
\(538\) | − | 24.9727i | − | 1.07665i | ||||||
\(539\) | 8.79958 | + | 1.02584i | 0.379025 | + | 0.0441862i | ||||
\(540\) | −6.50216 | + | 3.25140i | −0.279809 | + | 0.139918i | ||||
\(541\) | −2.23765 | + | 3.87573i | −0.0962042 | + | 0.166631i | −0.910111 | − | 0.414366i | \(-0.864004\pi\) |
0.813906 | + | 0.580996i | \(0.197337\pi\) | |||||||
\(542\) | −3.99522 | + | 6.91993i | −0.171610 | + | 0.297237i | ||||
\(543\) | −8.58518 | − | 15.5804i | −0.368425 | − | 0.668621i | ||||
\(544\) | 5.94790 | − | 3.43402i | 0.255014 | − | 0.147233i | ||||
\(545\) | 22.1065 | 0.946939 | ||||||||
\(546\) | 4.71190 | + | 15.8366i | 0.201651 | + | 0.677744i | ||||
\(547\) | −35.3736 | −1.51246 | −0.756232 | − | 0.654304i | \(-0.772962\pi\) | ||||
−0.756232 | + | 0.654304i | \(0.772962\pi\) | |||||||
\(548\) | −6.13476 | + | 3.54190i | −0.262064 | + | 0.151303i | ||||
\(549\) | −7.79736 | − | 4.92709i | −0.332783 | − | 0.210283i | ||||
\(550\) | 1.92535 | − | 3.33481i | 0.0820973 | − | 0.142197i | ||||
\(551\) | 12.1221 | − | 20.9960i | 0.516417 | − | 0.894460i | ||||
\(552\) | −3.73129 | − | 2.25479i | −0.158814 | − | 0.0959701i | ||||
\(553\) | −7.64456 | − | 36.9946i | −0.325080 | − | 1.57317i | ||||
\(554\) | 16.5670i | 0.703866i | ||||||||
\(555\) | 14.6740 | − | 8.08573i | 0.622879 | − | 0.343220i | ||||
\(556\) | − | 2.23879i | − | 0.0949457i | ||||||
\(557\) | 20.8010i | 0.881368i | 0.897662 | + | 0.440684i | \(0.145264\pi\) | ||||
−0.897662 | + | 0.440684i | \(0.854736\pi\) | |||||||
\(558\) | 7.10844 | + | 13.5330i | 0.300924 | + | 0.572896i | ||||
\(559\) | −25.8111 | − | 35.4760i | −1.09170 | − | 1.50047i | ||||
\(560\) | 2.76481 | − | 2.46122i | 0.116835 | − | 0.104005i | ||||
\(561\) | −15.0523 | − | 0.300645i | −0.635508 | − | 0.0126932i | ||||
\(562\) | −0.590990 | − | 1.02362i | −0.0249294 | − | 0.0431790i | ||||
\(563\) | −12.0960 | + | 20.9508i | −0.509784 | + | 0.882972i | 0.490151 | + | 0.871637i | \(0.336941\pi\) |
−0.999936 | + | 0.0113351i | \(0.996392\pi\) | |||||||
\(564\) | 4.69669 | + | 2.83817i | 0.197766 | + | 0.119509i | ||||
\(565\) | − | 17.2471i | − | 0.725592i | ||||||
\(566\) | 16.4272 | + | 28.4527i | 0.690486 | + | 1.19596i | ||||
\(567\) | −21.9348 | − | 9.26637i | −0.921174 | − | 0.389151i | ||||
\(568\) | 2.18755 | + | 3.78894i | 0.0917875 | + | 0.158981i | ||||
\(569\) | 30.3762 | − | 17.5377i | 1.27344 | − | 0.735219i | 0.297804 | − | 0.954627i | \(-0.403746\pi\) |
0.975633 | + | 0.219408i | \(0.0704125\pi\) | |||||||
\(570\) | 9.78843 | − | 5.39365i | 0.409992 | − | 0.225915i | ||||
\(571\) | 10.1633 | + | 17.6034i | 0.425321 | + | 0.736678i | 0.996450 | − | 0.0841821i | \(-0.0268277\pi\) |
−0.571129 | + | 0.820860i | \(0.693494\pi\) | |||||||
\(572\) | −4.16991 | − | 1.85322i | −0.174353 | − | 0.0774868i | ||||
\(573\) | 8.11894 | + | 14.7343i | 0.339174 | + | 0.615535i | ||||
\(574\) | −11.3499 | − | 12.7500i | −0.473737 | − | 0.532173i | ||||
\(575\) | 6.63234 | + | 3.82919i | 0.276588 | + | 0.159688i | ||||
\(576\) | −1.60255 | + | 2.53611i | −0.0667728 | + | 0.105671i | ||||
\(577\) | −12.8575 | + | 7.42329i | −0.535266 | + | 0.309036i | −0.743158 | − | 0.669116i | \(-0.766673\pi\) |
0.207892 | + | 0.978152i | \(0.433340\pi\) | |||||||
\(578\) | 26.1281 | + | 15.0850i | 1.08678 | + | 0.627455i | ||||
\(579\) | −8.29015 | + | 4.56806i | −0.344527 | + | 0.189842i | ||||
\(580\) | 7.35455i | 0.305381i | ||||||||
\(581\) | 6.95748 | − | 6.19351i | 0.288645 | − | 0.256950i | ||||
\(582\) | −0.0873643 | + | 4.37404i | −0.00362137 | + | 0.181310i | ||||
\(583\) | 0.324505 | + | 0.562058i | 0.0134396 | + | 0.0232781i | ||||
\(584\) | −4.18203 | − | 7.24349i | −0.173054 | − | 0.299738i | ||||
\(585\) | −8.40757 | − | 12.5829i | −0.347610 | − | 0.520237i | ||||
\(586\) | 4.88477 | + | 2.82022i | 0.201788 | + | 0.116502i | ||||
\(587\) | −10.5944 | + | 18.3500i | −0.437276 | + | 0.757384i | −0.997478 | − | 0.0709716i | \(-0.977390\pi\) |
0.560202 | + | 0.828356i | \(0.310723\pi\) | |||||||
\(588\) | 12.0124 | + | 1.64414i | 0.495381 | + | 0.0678032i | ||||
\(589\) | −11.7501 | − | 20.3517i | −0.484154 | − | 0.838578i | ||||
\(590\) | −17.4164 | − | 10.0554i | −0.717024 | − | 0.413974i | ||||
\(591\) | 45.1585 | + | 0.901967i | 1.85757 | + | 0.0371020i | ||||
\(592\) | 3.45697 | − | 5.98766i | 0.142081 | − | 0.246091i | ||||
\(593\) | −12.5747 | + | 21.7800i | −0.516381 | + | 0.894397i | 0.483439 | + | 0.875378i | \(0.339388\pi\) |
−0.999819 | + | 0.0190190i | \(0.993946\pi\) | |||||||
\(594\) | 5.88184 | − | 2.94121i | 0.241335 | − | 0.120679i | ||||
\(595\) | 24.1335 | + | 7.99295i | 0.989378 | + | 0.327679i | ||||
\(596\) | 8.65889 | + | 4.99921i | 0.354682 | + | 0.204776i | ||||
\(597\) | −23.7363 | − | 0.474094i | −0.971461 | − | 0.0194034i | ||||
\(598\) | 3.68572 | − | 8.29321i | 0.150720 | − | 0.339134i | ||||
\(599\) | −27.8317 | + | 16.0687i | −1.13717 | + | 0.656547i | −0.945729 | − | 0.324956i | \(-0.894650\pi\) |
−0.191444 | + | 0.981503i | \(0.561317\pi\) | |||||||
\(600\) | 2.72558 | − | 4.51037i | 0.111271 | − | 0.184135i | ||||
\(601\) | 15.0678 | + | 8.69938i | 0.614627 | + | 0.354855i | 0.774774 | − | 0.632238i | \(-0.217864\pi\) |
−0.160147 | + | 0.987093i | \(0.551197\pi\) | |||||||
\(602\) | −31.5272 | + | 6.51479i | −1.28495 | + | 0.265523i | ||||
\(603\) | −1.00076 | + | 1.58375i | −0.0407540 | + | 0.0644952i | ||||
\(604\) | 7.20991 | 0.293367 | ||||||||
\(605\) | −6.57442 | + | 11.3872i | −0.267288 | + | 0.462957i | ||||
\(606\) | 7.55577 | − | 12.5035i | 0.306932 | − | 0.507920i | ||||
\(607\) | 29.3529i | 1.19140i | 0.803208 | + | 0.595698i | \(0.203125\pi\) | ||||
−0.803208 | + | 0.595698i | \(0.796875\pi\) | |||||||
\(608\) | 2.30600 | − | 3.99411i | 0.0935207 | − | 0.161983i | ||||
\(609\) | −18.3093 | + | 15.6547i | −0.741928 | + | 0.634362i | ||||
\(610\) | −4.30150 | −0.174162 | ||||||||
\(611\) | −4.63933 | + | 10.4389i | −0.187687 | + | 0.422314i | ||||
\(612\) | −20.5877 | − | 0.822741i | −0.832209 | − | 0.0332573i | ||||
\(613\) | −34.8285 | −1.40671 | −0.703355 | − | 0.710839i | \(-0.748316\pi\) | ||||
−0.703355 | + | 0.710839i | \(0.748316\pi\) | |||||||
\(614\) | −12.7279 | − | 22.0454i | −0.513658 | − | 0.889682i | ||||
\(615\) | 13.3810 | + | 8.08606i | 0.539575 | + | 0.326061i | ||||
\(616\) | −2.50104 | + | 2.22641i | −0.100770 | + | 0.0897047i | ||||
\(617\) | 15.1344 | − | 8.73785i | 0.609288 | − | 0.351773i | −0.163399 | − | 0.986560i | \(-0.552246\pi\) |
0.772687 | + | 0.634787i | \(0.218912\pi\) | |||||||
\(618\) | −17.9584 | + | 9.89549i | −0.722393 | + | 0.398055i | ||||
\(619\) | −20.5117 | + | 11.8425i | −0.824436 | + | 0.475989i | −0.851944 | − | 0.523633i | \(-0.824576\pi\) |
0.0275075 | + | 0.999622i | \(0.491243\pi\) | |||||||
\(620\) | 6.17378 | + | 3.56443i | 0.247945 | + | 0.143151i | ||||
\(621\) | 5.84954 | + | 11.6979i | 0.234734 | + | 0.469422i | ||||
\(622\) | 12.6517 | + | 7.30444i | 0.507285 | + | 0.292881i | ||||
\(623\) | 39.9024 | + | 13.2156i | 1.59866 | + | 0.529471i | ||||
\(624\) | −5.65501 | − | 2.64970i | −0.226381 | − | 0.106073i | ||||
\(625\) | 0.264780 | − | 0.458612i | 0.0105912 | − | 0.0183445i | ||||
\(626\) | 11.0704 | 0.442461 | ||||||||
\(627\) | −8.85460 | + | 4.87908i | −0.353619 | + | 0.194852i | ||||
\(628\) | 6.14628i | 0.245263i | ||||||||
\(629\) | 47.4853 | 1.89336 | ||||||||
\(630\) | −10.9561 | + | 1.81117i | −0.436501 | + | 0.0721589i | ||||
\(631\) | 3.58972 | + | 6.21757i | 0.142904 | + | 0.247518i | 0.928589 | − | 0.371109i | \(-0.121023\pi\) |
−0.785685 | + | 0.618627i | \(0.787689\pi\) | |||||||
\(632\) | 12.3651 | + | 7.13902i | 0.491859 | + | 0.283975i | ||||
\(633\) | −0.445317 | + | 22.2955i | −0.0176998 | + | 0.886168i | ||||
\(634\) | −15.4546 | −0.613782 | ||||||||
\(635\) | 6.18113 | + | 10.7060i | 0.245291 | + | 0.424856i | ||||
\(636\) | 0.428656 | + | 0.777929i | 0.0169973 | + | 0.0308469i | ||||
\(637\) | −0.269164 | + | 25.2374i | −0.0106647 | + | 0.999943i | ||||
\(638\) | − | 6.65291i | − | 0.263391i | ||||||
\(639\) | 0.524104 | − | 13.1148i | 0.0207332 | − | 0.518814i | ||||
\(640\) | 1.39907i | 0.0553031i | ||||||||
\(641\) | −24.6906 | − | 14.2551i | −0.975221 | − | 0.563044i | −0.0743968 | − | 0.997229i | \(-0.523703\pi\) |
−0.900824 | + | 0.434185i | \(0.857036\pi\) | |||||||
\(642\) | 0.0721583 | − | 3.61273i | 0.00284786 | − | 0.142583i | ||||
\(643\) | 39.1207 | − | 22.5863i | 1.54277 | − | 0.890718i | 0.544106 | − | 0.839016i | \(-0.316869\pi\) |
0.998663 | − | 0.0517020i | \(-0.0164646\pi\) | |||||||
\(644\) | −4.42794 | − | 4.97413i | −0.174485 | − | 0.196008i | ||||
\(645\) | 25.8250 | − | 14.2302i | 1.01686 | − | 0.560312i | ||||
\(646\) | 31.6755 | 1.24625 | ||||||||
\(647\) | −17.9381 | −0.705220 | −0.352610 | − | 0.935770i | \(-0.614706\pi\) | ||||
−0.352610 | + | 0.935770i | \(0.614706\pi\) | |||||||
\(648\) | 8.12846 | − | 3.86369i | 0.319316 | − | 0.151780i | ||||
\(649\) | 15.7549 | + | 9.09609i | 0.618433 | + | 0.357053i | ||||
\(650\) | 10.0248 | + | 4.45529i | 0.393206 | + | 0.174751i | ||||
\(651\) | 4.26767 | + | 22.9569i | 0.167263 | + | 0.899752i | ||||
\(652\) | −6.89482 | + | 11.9422i | −0.270022 | + | 0.467692i | ||||
\(653\) | −24.5311 | + | 14.1630i | −0.959977 | + | 0.554243i | −0.896166 | − | 0.443719i | \(-0.853659\pi\) |
−0.0638110 | + | 0.997962i | \(0.520325\pi\) | |||||||
\(654\) | −27.3624 | − | 0.546520i | −1.06996 | − | 0.0213706i | ||||
\(655\) | 12.1538 | + | 21.0510i | 0.474889 | + | 0.822532i | ||||
\(656\) | 6.45183 | 0.251902 | ||||||||
\(657\) | −1.00195 | + | 25.0722i | −0.0390899 | + | 0.978158i | ||||
\(658\) | 5.57359 | + | 6.26110i | 0.217281 | + | 0.244083i | ||||
\(659\) | 33.6960 | − | 19.4544i | 1.31261 | − | 0.757836i | 0.330082 | − | 0.943952i | \(-0.392924\pi\) |
0.982528 | + | 0.186116i | \(0.0595902\pi\) | |||||||
\(660\) | 1.58617 | − | 2.62484i | 0.0617415 | − | 0.102172i | ||||
\(661\) | 14.1995i | 0.552296i | 0.961115 | + | 0.276148i | \(0.0890581\pi\) | ||||
−0.961115 | + | 0.276148i | \(0.910942\pi\) | |||||||
\(662\) | 0.860237 | − | 0.496658i | 0.0334340 | − | 0.0193032i | ||||
\(663\) | −3.65925 | − | 42.7346i | −0.142114 | − | 1.65967i | ||||
\(664\) | 3.52068i | 0.136629i | ||||||||
\(665\) | 16.7185 | − | 3.45472i | 0.648317 | − | 0.133968i | ||||
\(666\) | −18.3628 | + | 9.64538i | −0.711543 | + | 0.373751i | ||||
\(667\) | 13.2315 | 0.512324 | ||||||||
\(668\) | 7.46828 | + | 12.9354i | 0.288957 | + | 0.500487i | ||||
\(669\) | −35.7342 | − | 0.713732i | −1.38156 | − | 0.0275945i | ||||
\(670\) | 0.873692i | 0.0337537i | ||||||||
\(671\) | 3.89112 | 0.150215 | ||||||||
\(672\) | −3.48301 | + | 2.97803i | −0.134360 | + | 0.114880i | ||||
\(673\) | 10.7809 | − | 18.6731i | 0.415574 | − | 0.719795i | −0.579915 | − | 0.814677i | \(-0.696914\pi\) |
0.995489 | + | 0.0948822i | \(0.0302475\pi\) | |||||||
\(674\) | −14.5646 | + | 8.40889i | −0.561008 | + | 0.323898i | ||||
\(675\) | −14.1405 | + | 7.07092i | −0.544267 | + | 0.272160i | ||||
\(676\) | 4.00065 | − | 12.3691i | 0.153871 | − | 0.475735i | ||||
\(677\) | −20.3440 | + | 35.2368i | −0.781883 | + | 1.35426i | 0.148960 | + | 0.988843i | \(0.452407\pi\) |
−0.930844 | + | 0.365418i | \(0.880926\pi\) | |||||||
\(678\) | −0.426386 | + | 21.3477i | −0.0163753 | + | 0.819854i | ||||
\(679\) | −2.10108 | + | 6.34390i | −0.0806321 | + | 0.243457i | ||||
\(680\) | −8.32154 | + | 4.80444i | −0.319116 | + | 0.184242i | ||||
\(681\) | 0.629678 | − | 31.5258i | 0.0241293 | − | 1.20807i | ||||
\(682\) | −5.58479 | − | 3.22438i | −0.213853 | − | 0.123468i | ||||
\(683\) | 31.3548 | + | 18.1027i | 1.19976 | + | 0.692681i | 0.960501 | − | 0.278275i | \(-0.0897626\pi\) |
0.239258 | + | 0.970956i | \(0.423096\pi\) | |||||||
\(684\) | −12.2490 | + | 6.43402i | −0.468353 | + | 0.246011i | ||||
\(685\) | 8.58296 | − | 4.95537i | 0.327938 | − | 0.189335i | ||||
\(686\) | 16.7886 | + | 7.81943i | 0.640991 | + | 0.298547i | ||||
\(687\) | 32.0607 | + | 0.640360i | 1.22319 | + | 0.0244313i | ||||
\(688\) | 6.08396 | − | 10.5377i | 0.231949 | − | 0.401747i | ||||
\(689\) | −1.49511 | + | 1.08779i | −0.0569592 | + | 0.0414416i | ||||
\(690\) | 5.22033 | + | 3.15461i | 0.198735 | + | 0.120094i | ||||
\(691\) | −7.19174 | + | 4.15215i | −0.273587 | + | 0.157955i | −0.630516 | − | 0.776176i | \(-0.717157\pi\) |
0.356930 | + | 0.934131i | \(0.383824\pi\) | |||||||
\(692\) | 2.74366 | − | 4.75216i | 0.104298 | − | 0.180650i | ||||
\(693\) | 9.91085 | − | 1.63838i | 0.376482 | − | 0.0622371i | ||||
\(694\) | 8.81697 | 0.334688 | ||||||||
\(695\) | 3.13222i | 0.118812i | ||||||||
\(696\) | 0.181820 | − | 9.10312i | 0.00689187 | − | 0.345053i | ||||
\(697\) | 22.1557 | + | 38.3749i | 0.839208 | + | 1.45355i | ||||
\(698\) | 12.8239 | 0.485390 | ||||||||
\(699\) | −18.5499 | − | 0.370505i | −0.701623 | − | 0.0140138i | ||||
\(700\) | 6.01272 | − | 5.35249i | 0.227260 | − | 0.202305i | ||||
\(701\) | − | 48.0958i | − | 1.81655i | −0.418371 | − | 0.908276i | \(-0.637399\pi\) | ||
0.418371 | − | 0.908276i | \(-0.362601\pi\) | |||||||
\(702\) | 10.0954 | + | 15.7823i | 0.381028 | + | 0.595666i | ||||
\(703\) | 27.6151 | − | 15.9436i | 1.04152 | − | 0.601323i | ||||
\(704\) | − | 1.26560i | − | 0.0476989i | ||||||
\(705\) | −6.57100 | − | 3.97080i | −0.247478 | − | 0.149549i | ||||
\(706\) | −29.8507 | + | 17.2343i | −1.12345 | + | 0.648621i | ||||
\(707\) | 16.6683 | − | 14.8380i | 0.626875 | − | 0.558040i | ||||
\(708\) | 21.3087 | + | 12.8767i | 0.800830 | + | 0.483935i | ||||
\(709\) | −31.4206 | −1.18003 | −0.590013 | − | 0.807394i | \(-0.700877\pi\) | ||||
−0.590013 | + | 0.807394i | \(0.700877\pi\) | |||||||
\(710\) | −3.06053 | − | 5.30100i | −0.114860 | − | 0.198943i | ||||
\(711\) | −19.9187 | − | 37.9211i | −0.747011 | − | 1.42215i | ||||
\(712\) | −13.7588 | + | 7.94368i | −0.515635 | + | 0.297702i | ||||
\(713\) | 6.41272 | − | 11.1072i | 0.240158 | − | 0.415966i | ||||
\(714\) | −29.6738 | − | 10.4899i | −1.11051 | − | 0.392576i | ||||
\(715\) | 5.83399 | + | 2.59278i | 0.218179 | + | 0.0969644i | ||||
\(716\) | −5.38969 | − | 3.11174i | −0.201422 | − | 0.116291i | ||||
\(717\) | −3.24922 | − | 5.89670i | −0.121344 | − | 0.220216i | ||||
\(718\) | 27.9096 | 1.04158 | ||||||||
\(719\) | 25.3643 | 0.945931 | 0.472965 | − | 0.881081i | \(-0.343184\pi\) | ||||
0.472965 | + | 0.881081i | \(0.343184\pi\) | |||||||
\(720\) | 2.24208 | − | 3.54819i | 0.0835572 | − | 0.132233i | ||||
\(721\) | −30.6728 | + | 6.33823i | −1.14231 | + | 0.236048i | ||||
\(722\) | 1.96637 | − | 1.13529i | 0.0731809 | − | 0.0422510i | ||||
\(723\) | 10.7108 | + | 0.213932i | 0.398341 | + | 0.00795621i | ||||
\(724\) | 8.89460 | + | 5.13530i | 0.330565 | + | 0.190852i | ||||
\(725\) | 15.9942i | 0.594009i | ||||||||
\(726\) | 8.41903 | − | 13.9321i | 0.312460 | − | 0.517067i | ||||
\(727\) | − | 2.55940i | − | 0.0949230i | −0.998873 | − | 0.0474615i | \(-0.984887\pi\) | ||
0.998873 | − | 0.0474615i | \(-0.0151132\pi\) | |||||||
\(728\) | −7.05716 | − | 6.41845i | −0.261556 | − | 0.237883i | ||||
\(729\) | −26.8064 | − | 3.22752i | −0.992830 | − | 0.119538i | ||||
\(730\) | 5.85095 | + | 10.1341i | 0.216554 | + | 0.375082i | ||||
\(731\) | 83.5699 | 3.09095 | ||||||||
\(732\) | 5.32420 | + | 0.106342i | 0.196788 | + | 0.00393052i | ||||
\(733\) | 41.4839 | + | 23.9507i | 1.53224 | + | 0.884641i | 0.999258 | + | 0.0385160i | \(0.0122631\pi\) |
0.532985 | + | 0.846125i | \(0.321070\pi\) | |||||||
\(734\) | −1.69967 | − | 2.94391i | −0.0627359 | − | 0.108662i | ||||
\(735\) | −16.8061 | − | 2.30027i | −0.619904 | − | 0.0848466i | ||||
\(736\) | 2.51705 | 0.0927795 | ||||||||
\(737\) | − | 0.790340i | − | 0.0291125i | ||||||
\(738\) | −16.3625 | − | 10.3394i | −0.602313 | − | 0.380597i | ||||
\(739\) | 1.30533 | 0.0480174 | 0.0240087 | − | 0.999712i | \(-0.492357\pi\) | ||||
0.0240087 | + | 0.999712i | \(0.492357\pi\) | |||||||
\(740\) | −4.83655 | + | 8.37715i | −0.177795 | + | 0.307950i | ||||
\(741\) | −16.4765 | − | 23.6237i | −0.605280 | − | 0.867837i | ||||
\(742\) | 0.274561 | + | 1.32869i | 0.0100795 | + | 0.0487779i | ||||
\(743\) | −4.26349 | − | 2.46153i | −0.156412 | − | 0.0903046i | 0.419751 | − | 0.907639i | \(-0.362117\pi\) |
−0.576163 | + | 0.817335i | \(0.695451\pi\) | |||||||
\(744\) | −7.55351 | − | 4.56452i | −0.276925 | − | 0.167344i | ||||
\(745\) | −12.1144 | − | 6.99425i | −0.443837 | − | 0.256250i | ||||
\(746\) | −7.31225 | + | 4.22173i | −0.267721 | + | 0.154569i | ||||
\(747\) | 5.64205 | − | 8.92882i | 0.206432 | − | 0.326688i | ||||
\(748\) | 7.52764 | − | 4.34609i | 0.275238 | − | 0.158909i | ||||
\(749\) | 1.73538 | − | 5.23973i | 0.0634095 | − | 0.191456i | ||||
\(750\) | −10.0798 | + | 16.6803i | −0.368061 | + | 0.609078i | ||||
\(751\) | 23.3939 | + | 40.5194i | 0.853656 | + | 1.47858i | 0.877886 | + | 0.478869i | \(0.158953\pi\) |
−0.0242306 | + | 0.999706i | \(0.507714\pi\) | |||||||
\(752\) | −3.16829 | −0.115536 | ||||||||
\(753\) | 2.63590 | + | 1.59285i | 0.0960576 | + | 0.0580468i | ||||
\(754\) | 18.8483 | − | 1.99381i | 0.686414 | − | 0.0726101i | ||||
\(755\) | −10.0872 | −0.367110 | ||||||||
\(756\) | 13.6057 | − | 1.97093i | 0.494835 | − | 0.0716821i | ||||
\(757\) | −2.63180 | + | 4.55840i | −0.0956542 | + | 0.165678i | −0.909881 | − | 0.414868i | \(-0.863828\pi\) |
0.814227 | + | 0.580546i | \(0.197161\pi\) | |||||||
\(758\) | − | 24.5885i | − | 0.893093i | ||||||
\(759\) | −4.72230 | − | 2.85365i | −0.171409 | − | 0.103581i | ||||
\(760\) | −3.22626 | + | 5.58804i | −0.117029 | + | 0.202700i | ||||
\(761\) | −12.7328 | −0.461562 | −0.230781 | − | 0.973006i | \(-0.574128\pi\) | ||||
−0.230781 | + | 0.973006i | \(0.574128\pi\) | |||||||
\(762\) | −7.38604 | − | 13.4042i | −0.267568 | − | 0.485585i | ||||
\(763\) | −39.6852 | − | 13.1436i | −1.43670 | − | 0.475831i | ||||
\(764\) | −8.41156 | − | 4.85641i | −0.304319 | − | 0.175699i | ||||
\(765\) | 28.8037 | + | 1.15107i | 1.04140 | + | 0.0416171i | ||||
\(766\) | 21.3552 | − | 12.3294i | 0.771593 | − | 0.445480i | ||||
\(767\) | −21.0485 | + | 47.3610i | −0.760016 | + | 1.71011i | ||||
\(768\) | 0.0345880 | − | 1.73171i | 0.00124809 | − | 0.0624875i | ||||
\(769\) | 28.1406 | + | 16.2470i | 1.01478 | + | 0.585881i | 0.912586 | − | 0.408884i | \(-0.134082\pi\) |
0.102189 | + | 0.994765i | \(0.467415\pi\) | |||||||
\(770\) | 3.49914 | − | 3.11491i | 0.126100 | − | 0.112254i | ||||
\(771\) | −17.8258 | − | 10.7720i | −0.641981 | − | 0.387944i | ||||
\(772\) | 2.73242 | − | 4.73270i | 0.0983421 | − | 0.170334i | ||||
\(773\) | −6.15935 | + | 10.6683i | −0.221537 | + | 0.383713i | −0.955275 | − | 0.295720i | \(-0.904441\pi\) |
0.733738 | + | 0.679432i | \(0.237774\pi\) | |||||||
\(774\) | −32.3168 | + | 16.9750i | −1.16160 | + | 0.610154i | ||||
\(775\) | 13.4263 | + | 7.75169i | 0.482288 | + | 0.278449i | ||||
\(776\) | −1.26293 | − | 2.18746i | −0.0453365 | − | 0.0785251i | ||||
\(777\) | −31.1500 | + | 5.79077i | −1.11750 | + | 0.207743i | ||||
\(778\) | −1.81078 | + | 3.13636i | −0.0649195 | + | 0.112444i | ||||
\(779\) | 25.7693 | + | 14.8779i | 0.923282 | + | 0.533057i | ||||
\(780\) | 7.91175 | + | 3.70712i | 0.283286 | + | 0.132736i | ||||
\(781\) | 2.76855 | + | 4.79527i | 0.0990666 | + | 0.171588i | ||||
\(782\) | 8.64360 | + | 14.9711i | 0.309094 | + | 0.535367i | ||||
\(783\) | −15.0493 | + | 22.7951i | −0.537818 | + | 0.814632i | ||||
\(784\) | −6.42668 | + | 2.77449i | −0.229524 | + | 0.0990889i | ||||
\(785\) | − | 8.59907i | − | 0.306914i | ||||||
\(786\) | −14.5230 | − | 26.3565i | −0.518019 | − | 0.940104i | ||||
\(787\) | 27.8133 | + | 16.0580i | 0.991437 | + | 0.572407i | 0.905704 | − | 0.423912i | \(-0.139343\pi\) |
0.0857336 | + | 0.996318i | \(0.472677\pi\) | |||||||
\(788\) | −22.5837 | + | 13.0387i | −0.804512 | + | 0.464485i | ||||
\(789\) | −1.58393 | − | 2.87454i | −0.0563896 | − | 0.102336i | ||||
\(790\) | −17.2997 | − | 9.98799i | −0.615496 | − | 0.355357i | ||||
\(791\) | −10.2544 | + | 30.9617i | −0.364606 | + | 1.10087i | ||||
\(792\) | −2.02818 | + | 3.20969i | −0.0720681 | + | 0.114051i | ||||
\(793\) | 1.16613 | + | 11.0239i | 0.0414104 | + | 0.391470i | ||||
\(794\) | 7.01373 | + | 12.1481i | 0.248908 | + | 0.431121i | ||||
\(795\) | −0.599720 | − | 1.08838i | −0.0212699 | − | 0.0386007i | ||||
\(796\) | 11.8705 | − | 6.85344i | 0.420739 | − | 0.242914i | ||||
\(797\) | −8.26661 | − | 14.3182i | −0.292819 | − | 0.507177i | 0.681657 | − | 0.731672i | \(-0.261260\pi\) |
−0.974475 | + | 0.224496i | \(0.927927\pi\) | |||||||
\(798\) | −20.7789 | + | 3.86278i | −0.735564 | + | 0.136741i | ||||
\(799\) | −10.8800 | − | 18.8447i | −0.384906 | − | 0.666676i | ||||
\(800\) | 3.04260i | 0.107572i | ||||||||
\(801\) | 47.6240 | + | 1.90319i | 1.68271 | + | 0.0672457i | ||||
\(802\) | 15.9875 | − | 27.6911i | 0.564537 | − | 0.977807i | ||||
\(803\) | −5.29276 | − | 9.16733i | −0.186777 | − | 0.323508i | ||||
\(804\) | 0.0215995 | − | 1.08142i | 0.000761756 | − | 0.0381386i | ||||
\(805\) | 6.19500 | + | 6.95916i | 0.218345 | + | 0.245278i | ||||
\(806\) | 7.46125 | − | 16.7885i | 0.262811 | − | 0.591350i | ||||
\(807\) | 0.863756 | − | 43.2454i | 0.0304057 | − | 1.52231i | ||||
\(808\) | 8.43460i | 0.296728i | ||||||||
\(809\) | 8.09557i | 0.284625i | 0.989822 | + | 0.142313i | \(0.0454538\pi\) | ||||
−0.989822 | + | 0.142313i | \(0.954546\pi\) | |||||||
\(810\) | −11.3723 | + | 5.40557i | −0.399582 | + | 0.189932i | ||||
\(811\) | − | 19.7787i | − | 0.694525i | −0.937768 | − | 0.347263i | \(-0.887111\pi\) | ||
0.937768 | − | 0.347263i | \(-0.112889\pi\) | |||||||
\(812\) | 4.37271 | − | 13.2027i | 0.153452 | − | 0.463326i | ||||
\(813\) | −7.15790 | + | 11.8451i | −0.251038 | + | 0.415426i | ||||
\(814\) | 4.37513 | − | 7.57795i | 0.153348 | − | 0.265607i | ||||
\(815\) | 9.64634 | − | 16.7080i | 0.337897 | − | 0.585254i | ||||
\(816\) | 10.4188 | − | 5.74099i | 0.364731 | − | 0.200975i | ||||
\(817\) | 48.6001 | − | 28.0593i | 1.70030 | − | 0.981669i | ||||
\(818\) | 0.556454 | 0.0194559 | ||||||||
\(819\) | 7.61186 | + | 27.5873i | 0.265980 | + | 0.963979i | ||||
\(820\) | −9.02656 | −0.315221 | ||||||||
\(821\) | 19.5328 | − | 11.2772i | 0.681698 | − | 0.393579i | −0.118796 | − | 0.992919i | \(-0.537904\pi\) |
0.800495 | + | 0.599340i | \(0.204570\pi\) | |||||||
\(822\) | −10.7461 | + | 5.92134i | −0.374813 | + | 0.206531i | ||||
\(823\) | 18.8937 | − | 32.7249i | 0.658595 | − | 1.14072i | −0.322385 | − | 0.946609i | \(-0.604485\pi\) |
0.980980 | − | 0.194111i | \(-0.0621821\pi\) | |||||||
\(824\) | 5.91907 | − | 10.2521i | 0.206201 | − | 0.357150i | ||||
\(825\) | 3.44949 | − | 5.70831i | 0.120096 | − | 0.198738i | ||||
\(826\) | 25.2872 | + | 28.4064i | 0.879853 | + | 0.988383i | ||||
\(827\) | 6.55062i | 0.227788i | 0.993493 | + | 0.113894i | \(0.0363323\pi\) | ||||
−0.993493 | + | 0.113894i | \(0.963668\pi\) | |||||||
\(828\) | −6.38350 | − | 4.03368i | −0.221842 | − | 0.140180i | ||||
\(829\) | − | 9.11327i | − | 0.316517i | −0.987398 | − | 0.158258i | \(-0.949412\pi\) | ||
0.987398 | − | 0.158258i | \(-0.0505879\pi\) | |||||||
\(830\) | − | 4.92567i | − | 0.170973i | ||||||
\(831\) | −0.573021 | + | 28.6892i | −0.0198779 | + | 0.995218i | ||||
\(832\) | 3.58555 | − | 0.379286i | 0.124306 | − | 0.0131494i | ||||
\(833\) | −38.5718 | − | 28.6976i | −1.33643 | − | 0.994313i | ||||
\(834\) | 0.0774352 | − | 3.87692i | 0.00268136 | − | 0.134247i | ||||
\(835\) | −10.4487 | − | 18.0976i | −0.361591 | − | 0.626293i | ||||
\(836\) | 2.91847 | − | 5.05493i | 0.100937 | − | 0.174828i | ||||
\(837\) | 11.8416 | + | 23.6810i | 0.409307 | + | 0.818534i | ||||
\(838\) | − | 15.3962i | − | 0.531852i | ||||||
\(839\) | −9.49359 | − | 16.4434i | −0.327755 | − | 0.567688i | 0.654311 | − | 0.756226i | \(-0.272959\pi\) |
−0.982066 | + | 0.188537i | \(0.939625\pi\) | |||||||
\(840\) | 4.87297 | − | 4.16648i | 0.168133 | − | 0.143757i | ||||
\(841\) | −0.683344 | − | 1.18359i | −0.0235636 | − | 0.0408133i | ||||
\(842\) | −4.71289 | + | 2.72099i | −0.162417 | + | 0.0937714i | ||||
\(843\) | −0.988015 | − | 1.79306i | −0.0340291 | − | 0.0617562i | ||||
\(844\) | −6.43745 | − | 11.1500i | −0.221586 | − | 0.383798i | ||||
\(845\) | −5.59719 | + | 17.3053i | −0.192549 | + | 0.595319i | ||||
\(846\) | 8.03512 | + | 5.07733i | 0.276253 | + | 0.174562i | ||||
\(847\) | 18.5726 | − | 16.5333i | 0.638164 | − | 0.568089i | ||||
\(848\) | −0.444106 | − | 0.256405i | −0.0152506 | − | 0.00880497i | ||||
\(849\) | 27.4629 | + | 49.8399i | 0.942525 | + | 1.71050i | ||||
\(850\) | −18.0971 | + | 10.4484i | −0.620726 | + | 0.358376i | ||||
\(851\) | 15.0712 | + | 8.70137i | 0.516634 | + | 0.298279i | ||||
\(852\) | 3.65714 | + | 6.63700i | 0.125291 | + | 0.227380i | ||||
\(853\) | − | 46.7396i | − | 1.60033i | −0.599779 | − | 0.800166i | \(-0.704745\pi\) | ||
0.599779 | − | 0.800166i | \(-0.295255\pi\) | |||||||
\(854\) | 7.72197 | + | 2.55749i | 0.264240 | + | 0.0875156i | ||||
\(855\) | 17.1372 | − | 9.00165i | 0.586081 | − | 0.307850i | ||||
\(856\) | 1.04311 | + | 1.80672i | 0.0356528 | + | 0.0617525i | ||||
\(857\) | 1.41497 | + | 2.45080i | 0.0483345 | + | 0.0837177i | 0.889180 | − | 0.457557i | \(-0.151275\pi\) |
−0.840846 | + | 0.541274i | \(0.817942\pi\) | |||||||
\(858\) | −7.15695 | − | 3.35345i | −0.244334 | − | 0.114485i | ||||
\(859\) | 19.7715 | + | 11.4151i | 0.674595 | + | 0.389478i | 0.797815 | − | 0.602902i | \(-0.205989\pi\) |
−0.123221 | + | 0.992379i | \(0.539322\pi\) | |||||||
\(860\) | −8.51189 | + | 14.7430i | −0.290253 | + | 0.502733i | ||||
\(861\) | −19.2138 | − | 22.4718i | −0.654803 | − | 0.765835i | ||||
\(862\) | −11.4264 | − | 19.7911i | −0.389185 | − | 0.674089i | ||||
\(863\) | −40.5300 | − | 23.4000i | −1.37966 | − | 0.796546i | −0.387540 | − | 0.921853i | \(-0.626675\pi\) |
−0.992118 | + | 0.125307i | \(0.960008\pi\) | |||||||
\(864\) | −2.86286 | + | 4.33636i | −0.0973964 | + | 0.147526i | ||||
\(865\) | −3.83857 | + | 6.64860i | −0.130515 | + | 0.226059i | ||||
\(866\) | 3.87938 | − | 6.71928i | 0.131827 | − | 0.228330i | ||||
\(867\) | 44.7244 | + | 27.0266i | 1.51892 | + | 0.917871i | ||||
\(868\) | −8.96379 | − | 10.0695i | −0.304251 | − | 0.341781i | ||||
\(869\) | 15.6493 | + | 9.03512i | 0.530865 | + | 0.306495i | ||||
\(870\) | −0.254379 | + | 12.7359i | −0.00862426 | + | 0.431788i | ||||
\(871\) | 2.23910 | − | 0.236856i | 0.0758691 | − | 0.00802557i | ||||
\(872\) | 13.6840 | − | 7.90043i | 0.463397 | − | 0.267542i | ||||
\(873\) | −0.302579 | + | 7.57152i | −0.0102407 | + | 0.256257i | ||||
\(874\) | 10.0534 | + | 5.80431i | 0.340060 | + | 0.196334i | ||||
\(875\) | −22.2363 | + | 19.7946i | −0.751724 | + | 0.669180i | ||||
\(876\) | −6.99151 | − | 12.6882i | −0.236221 | − | 0.428696i | ||||
\(877\) | −19.1627 | −0.647079 | −0.323540 | − | 0.946215i | \(-0.604873\pi\) | ||||
−0.323540 | + | 0.946215i | \(0.604873\pi\) | |||||||
\(878\) | 20.8294 | − | 36.0776i | 0.702959 | − | 1.21756i | ||||
\(879\) | 8.36143 | + | 5.05275i | 0.282024 | + | 0.170425i | ||||
\(880\) | 1.77066i | 0.0596889i | ||||||||
\(881\) | −22.6060 | + | 39.1548i | −0.761616 | + | 1.31916i | 0.180401 | + | 0.983593i | \(0.442260\pi\) |
−0.942017 | + | 0.335564i | \(0.891073\pi\) | |||||||
\(882\) | 20.7450 | + | 3.26265i | 0.698521 | + | 0.109859i | ||||
\(883\) | −29.3707 | −0.988402 | −0.494201 | − | 0.869348i | \(-0.664539\pi\) | ||||
−0.494201 | + | 0.869348i | \(0.664539\pi\) | |||||||
\(884\) | 14.5688 | + | 20.0240i | 0.490002 | + | 0.673480i | ||||
\(885\) | −29.8124 | − | 18.0154i | −1.00213 | − | 0.605580i | ||||
\(886\) | −25.9359 | −0.871335 | ||||||||
\(887\) | 4.82797 | + | 8.36228i | 0.162107 | + | 0.280778i | 0.935624 | − | 0.352998i | \(-0.114838\pi\) |
−0.773517 | + | 0.633776i | \(0.781504\pi\) | |||||||
\(888\) | 6.19356 | − | 10.2493i | 0.207842 | − | 0.343944i | ||||
\(889\) | −4.73088 | − | 22.8943i | −0.158669 | − | 0.767850i | ||||
\(890\) | 19.2496 | − | 11.1138i | 0.645248 | − | 0.372534i | ||||
\(891\) | 10.2874 | − | 4.88987i | 0.344639 | − | 0.163817i | ||||
\(892\) | 17.8707 | − | 10.3176i | 0.598354 | − | 0.345460i | ||||
\(893\) | −12.6545 | − | 7.30608i | −0.423466 | − | 0.244488i | ||||
\(894\) | 14.8217 | + | 8.95666i | 0.495713 | + | 0.299556i | ||||
\(895\) | 7.54055 | + | 4.35354i | 0.252053 | + | 0.145523i | ||||
\(896\) | 0.831830 | − | 2.51159i | 0.0277895 | − | 0.0839062i | ||||
\(897\) | 6.66942 | − | 14.2339i | 0.222685 | − | 0.475256i | ||||
\(898\) | 3.00244 | − | 5.20037i | 0.100193 | − | 0.173539i | ||||
\(899\) | 26.7854 | 0.893342 | ||||||||
\(900\) | 4.87591 | − | 7.71637i | 0.162530 | − | 0.257212i | ||||
\(901\) | − | 3.52200i | − | 0.117335i | ||||||
\(902\) | 8.16541 | 0.271878 | ||||||||
\(903\) | −54.8212 | + | 10.1912i | −1.82434 | + | 0.339143i | ||||
\(904\) | −6.16378 | − | 10.6760i | −0.205004 | − | 0.355078i | ||||
\(905\) | −12.4442 | − | 7.18464i | −0.413658 | − | 0.238826i | ||||
\(906\) | 12.4854 | + | 0.249376i | 0.414801 | + | 0.00828498i | ||||
\(907\) | 17.2899 | 0.574102 | 0.287051 | − | 0.957915i | \(-0.407325\pi\) | ||||
0.287051 | + | 0.957915i | \(0.407325\pi\) | |||||||
\(908\) | 9.10254 | + | 15.7661i | 0.302078 | + | 0.523215i | ||||
\(909\) | 13.5168 | − | 21.3911i | 0.448325 | − | 0.709496i | ||||
\(910\) | 9.87347 | + | 8.97986i | 0.327302 | + | 0.297679i | ||||
\(911\) | 27.9182i | 0.924970i | 0.886627 | + | 0.462485i | \(0.153042\pi\) | ||||
−0.886627 | + | 0.462485i | \(0.846958\pi\) | |||||||
\(912\) | 4.13146 | − | 6.83687i | 0.136806 | − | 0.226391i | ||||
\(913\) | 4.45575i | 0.147464i | ||||||||
\(914\) | −25.6767 | − | 14.8245i | −0.849311 | − | 0.490350i | ||||
\(915\) | −7.44892 | − | 0.148780i | −0.246254 | − | 0.00491852i | ||||
\(916\) | −16.0335 | + | 9.25697i | −0.529763 | + | 0.305859i | ||||
\(917\) | −9.30223 | − | 45.0166i | −0.307187 | − | 1.48658i | ||||
\(918\) | −35.6234 | − | 2.13683i | −1.17575 | − | 0.0705260i | ||||
\(919\) | −12.6451 | −0.417122 | −0.208561 | − | 0.978009i | \(-0.566878\pi\) | ||||
−0.208561 | + | 0.978009i | \(0.566878\pi\) | |||||||
\(920\) | −3.52152 | −0.116101 | ||||||||
\(921\) | −21.2785 | − | 38.6165i | −0.701152 | − | 1.27246i | ||||
\(922\) | −6.58672 | − | 3.80284i | −0.216922 | − | 0.125240i | ||||
\(923\) | −12.7557 | + | 9.28065i | −0.419860 | + | 0.305476i | ||||
\(924\) | −4.40808 | + | 3.76899i | −0.145015 | + | 0.123991i | ||||
\(925\) | −10.5182 | + | 18.2181i | −0.345836 | + | 0.599006i | ||||
\(926\) | 11.9170 | − | 6.88026i | 0.391616 | − | 0.226099i | ||||
\(927\) | −31.4409 | + | 16.5149i | −1.03266 | + | 0.542422i | ||||
\(928\) | 2.62837 | + | 4.55247i | 0.0862805 | + | 0.149442i | ||||
\(929\) | −21.2060 | −0.695746 | −0.347873 | − | 0.937542i | \(-0.613096\pi\) | ||||
−0.347873 | + | 0.937542i | \(0.613096\pi\) | |||||||
\(930\) | 10.5679 | + | 6.38609i | 0.346535 | + | 0.209408i | ||||
\(931\) | −32.0669 | − | 3.73831i | −1.05095 | − | 0.122518i | ||||
\(932\) | 9.27681 | − | 5.35597i | 0.303872 | − | 0.175441i | ||||
\(933\) | 21.6563 | + | 13.0867i | 0.708995 | + | 0.428440i | ||||
\(934\) | 16.2115i | 0.530457i | ||||||||
\(935\) | −10.5317 | + | 6.08048i | −0.344424 | + | 0.198853i | ||||
\(936\) | −9.70116 | − | 4.78410i | −0.317092 | − | 0.156373i | ||||
\(937\) | 44.9305i | 1.46782i | 0.679249 | + | 0.733908i | \(0.262306\pi\) | ||||
−0.679249 | + | 0.733908i | \(0.737694\pi\) | |||||||
\(938\) | 0.519461 | − | 1.56843i | 0.0169610 | − | 0.0512112i | ||||
\(939\) | 19.1706 | + | 0.382902i | 0.625610 | + | 0.0124956i | ||||
\(940\) | 4.43266 | 0.144577 | ||||||||
\(941\) | 12.0246 | + | 20.8273i | 0.391992 | + | 0.678950i | 0.992712 | − | 0.120510i | \(-0.0384529\pi\) |
−0.600720 | + | 0.799459i | \(0.705120\pi\) | |||||||
\(942\) | −0.212587 | + | 10.6435i | −0.00692647 | + | 0.346785i | ||||
\(943\) | 16.2395i | 0.528832i | ||||||||
\(944\) | −14.3744 | −0.467847 | ||||||||
\(945\) | −19.0353 | + | 2.75747i | −0.619220 | + | 0.0897006i | ||||
\(946\) | 7.69984 | − | 13.3365i | 0.250343 | − | 0.433608i | ||||
\(947\) | −6.23984 | + | 3.60257i | −0.202768 | + | 0.117068i | −0.597946 | − | 0.801537i | \(-0.704016\pi\) |
0.395178 | + | 0.918604i | \(0.370683\pi\) | |||||||
\(948\) | 21.1659 | + | 12.7904i | 0.687435 | + | 0.415412i | ||||
\(949\) | 24.3857 | − | 17.7422i | 0.791593 | − | 0.575937i | ||||
\(950\) | −7.01625 | + | 12.1525i | −0.227637 | + | 0.394279i | ||||
\(951\) | −26.7629 | − | 0.534545i | −0.867846 | − | 0.0173338i | ||||
\(952\) | 17.7952 | − | 3.67720i | 0.576745 | − | 0.119179i | ||||
\(953\) | 50.9766 | − | 29.4313i | 1.65129 | − | 0.953374i | 0.674751 | − | 0.738046i | \(-0.264251\pi\) |
0.976542 | − | 0.215329i | \(-0.0690822\pi\) | |||||||
\(954\) | 0.715400 | + | 1.36197i | 0.0231619 | + | 0.0440954i | ||||
\(955\) | 11.7684 | + | 6.79447i | 0.380815 | + | 0.219864i | ||||
\(956\) | 3.36632 | + | 1.94355i | 0.108875 | + | 0.0628588i | ||||
\(957\) | 0.230111 | − | 11.5209i | 0.00743843 | − | 0.372417i | ||||
\(958\) | −6.64153 | + | 3.83449i | −0.214578 | + | 0.123887i | ||||
\(959\) | −18.3542 | + | 3.79272i | −0.592689 | + | 0.122473i | ||||
\(960\) | −0.0483911 | + | 2.42278i | −0.00156181 | + | 0.0781948i | ||||
\(961\) | −2.51828 | + | 4.36179i | −0.0812348 | + | 0.140703i | ||||
\(962\) | 22.7802 | + | 10.1241i | 0.734463 | + | 0.326414i | ||||
\(963\) | 0.249914 | − | 6.25368i | 0.00805337 | − | 0.201522i | ||||
\(964\) | −5.35649 | + | 3.09257i | −0.172521 | + | 0.0996050i | ||||
\(965\) | −3.82285 | + | 6.62138i | −0.123062 | + | 0.213150i | ||||
\(966\) | −7.49584 | − | 8.76688i | −0.241175 | − | 0.282070i | ||||
\(967\) | −8.84170 | −0.284330 | −0.142165 | − | 0.989843i | \(-0.545406\pi\) | ||||
−0.142165 | + | 0.989843i | \(0.545406\pi\) | |||||||
\(968\) | 9.39827i | 0.302072i | ||||||||
\(969\) | 54.8526 | + | 1.09559i | 1.76212 | + | 0.0351955i | ||||
\(970\) | 1.76692 | + | 3.06040i | 0.0567325 | + | 0.0982636i | ||||
\(971\) | −7.23120 | −0.232060 | −0.116030 | − | 0.993246i | \(-0.537017\pi\) | ||||
−0.116030 | + | 0.993246i | \(0.537017\pi\) | |||||||
\(972\) | 14.2097 | − | 6.40962i | 0.455778 | − | 0.205589i | ||||
\(973\) | 1.86229 | − | 5.62290i | 0.0597022 | − | 0.180262i | ||||
\(974\) | − | 1.25273i | − | 0.0401402i | ||||||
\(975\) | 17.2059 | + | 8.06199i | 0.551031 | + | 0.258190i | ||||
\(976\) | −2.66263 | + | 1.53727i | −0.0852287 | + | 0.0492068i | ||||
\(977\) | − | 54.1097i | − | 1.73112i | −0.500802 | − | 0.865562i | \(-0.666961\pi\) | ||
0.500802 | − | 0.865562i | \(-0.333039\pi\) | |||||||
\(978\) | −12.3529 | + | 20.4419i | −0.395001 | + | 0.653659i | ||||
\(979\) | −17.4131 | + | 10.0535i | −0.556527 | + | 0.321311i | ||||
\(980\) | 8.99138 | − | 3.88171i | 0.287219 | − | 0.123997i | ||||
\(981\) | −47.3648 | − | 1.89282i | −1.51224 | − | 0.0604332i | ||||
\(982\) | 2.06211 | 0.0658045 | ||||||||
\(983\) | −9.49650 | − | 16.4484i | −0.302891 | − | 0.524623i | 0.673898 | − | 0.738824i | \(-0.264619\pi\) |
−0.976790 | + | 0.214201i | \(0.931285\pi\) | |||||||
\(984\) | 11.1727 | + | 0.223156i | 0.356172 | + | 0.00711395i | ||||
\(985\) | 31.5962 | − | 18.2421i | 1.00674 | − | 0.581241i | ||||
\(986\) | −18.0518 | + | 31.2666i | −0.574886 | + | 0.995731i | ||||
\(987\) | 9.43526 | + | 11.0352i | 0.300328 | + | 0.351253i | ||||
\(988\) | 15.1957 | + | 6.75337i | 0.483440 | + | 0.214853i | ||||
\(989\) | 26.5240 | + | 15.3136i | 0.843413 | + | 0.486945i | ||||
\(990\) | 2.83756 | − | 4.49058i | 0.0901837 | − | 0.142720i | ||||
\(991\) | −8.84808 | −0.281068 | −0.140534 | − | 0.990076i | \(-0.544882\pi\) | ||||
−0.140534 | + | 0.990076i | \(0.544882\pi\) | |||||||
\(992\) | 5.09543 | 0.161780 | ||||||||
\(993\) | 1.50685 | − | 0.830311i | 0.0478186 | − | 0.0263491i | ||||
\(994\) | 2.34246 | + | 11.3359i | 0.0742982 | + | 0.359554i | ||||
\(995\) | −16.6077 | + | 9.58845i | −0.526499 | + | 0.303974i | ||||
\(996\) | −0.121773 | + | 6.09678i | −0.00385853 | + | 0.193184i | ||||
\(997\) | −27.6724 | − | 15.9767i | −0.876393 | − | 0.505986i | −0.00692544 | − | 0.999976i | \(-0.502204\pi\) |
−0.869467 | + | 0.493990i | \(0.835538\pi\) | |||||||
\(998\) | − | 12.2447i | − | 0.387599i | ||||||
\(999\) | −32.1325 | + | 16.0678i | −1.01663 | + | 0.508363i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.u.a.425.4 | yes | 76 | |
3.2 | odd | 2 | inner | 546.2.u.a.425.35 | yes | 76 | |
7.3 | odd | 6 | 546.2.bb.a.269.4 | yes | 76 | ||
13.3 | even | 3 | 546.2.bb.a.341.10 | yes | 76 | ||
21.17 | even | 6 | 546.2.bb.a.269.29 | yes | 76 | ||
39.29 | odd | 6 | 546.2.bb.a.341.23 | yes | 76 | ||
91.3 | odd | 6 | inner | 546.2.u.a.185.35 | yes | 76 | |
273.185 | even | 6 | inner | 546.2.u.a.185.4 | ✓ | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.4 | ✓ | 76 | 273.185 | even | 6 | inner | |
546.2.u.a.185.35 | yes | 76 | 91.3 | odd | 6 | inner | |
546.2.u.a.425.4 | yes | 76 | 1.1 | even | 1 | trivial | |
546.2.u.a.425.35 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.bb.a.269.4 | yes | 76 | 7.3 | odd | 6 | ||
546.2.bb.a.269.29 | yes | 76 | 21.17 | even | 6 | ||
546.2.bb.a.341.10 | yes | 76 | 13.3 | even | 3 | ||
546.2.bb.a.341.23 | yes | 76 | 39.29 | odd | 6 |