Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [143,2,Mod(14,143)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(143, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("143.14");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 143 = 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 143.h (of order \(5\), degree \(4\), 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: | \(1.14186074890\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 92.5 | ||
Character | \(\chi\) | \(=\) | 143.92 |
Dual form | 143.2.h.c.14.5 |
$q$-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 \(\left(\mathbb{Z}/143\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.203919 | + | 0.148156i | 0.144192 | + | 0.104762i | 0.657543 | − | 0.753417i | \(-0.271596\pi\) |
−0.513350 | + | 0.858179i | \(0.671596\pi\) | |||||||
\(3\) | 0.947227 | − | 2.91527i | 0.546882 | − | 1.68313i | −0.169591 | − | 0.985515i | \(-0.554245\pi\) |
0.716473 | − | 0.697615i | \(-0.245755\pi\) | |||||||
\(4\) | −0.598401 | − | 1.84169i | −0.299201 | − | 0.920845i | ||||
\(5\) | −1.49221 | + | 1.08415i | −0.667337 | + | 0.484848i | −0.869133 | − | 0.494579i | \(-0.835322\pi\) |
0.201796 | + | 0.979428i | \(0.435322\pi\) | |||||||
\(6\) | 0.625071 | − | 0.454140i | 0.255184 | − | 0.185402i | ||||
\(7\) | 0.992247 | + | 3.05382i | 0.375034 | + | 1.15424i | 0.943456 | + | 0.331499i | \(0.107554\pi\) |
−0.568422 | + | 0.822737i | \(0.692446\pi\) | |||||||
\(8\) | 0.306612 | − | 0.943653i | 0.108404 | − | 0.333632i | ||||
\(9\) | −5.17449 | − | 3.75949i | −1.72483 | − | 1.25316i | ||||
\(10\) | −0.464913 | −0.147018 | ||||||||
\(11\) | 3.18285 | − | 0.932455i | 0.959665 | − | 0.281146i | ||||
\(12\) | −5.93584 | −1.71353 | ||||||||
\(13\) | −0.809017 | − | 0.587785i | −0.224381 | − | 0.163022i | ||||
\(14\) | −0.250103 | + | 0.769738i | −0.0668429 | + | 0.205721i | ||||
\(15\) | 1.74714 | + | 5.37713i | 0.451108 | + | 1.38837i | ||||
\(16\) | −2.93094 | + | 2.12945i | −0.732735 | + | 0.532363i | ||||
\(17\) | 4.91855 | − | 3.57354i | 1.19292 | − | 0.866710i | 0.199353 | − | 0.979928i | \(-0.436116\pi\) |
0.993570 | + | 0.113218i | \(0.0361158\pi\) | |||||||
\(18\) | −0.498186 | − | 1.53326i | −0.117424 | − | 0.361393i | ||||
\(19\) | −1.04960 | + | 3.23035i | −0.240796 | + | 0.741093i | 0.755504 | + | 0.655144i | \(0.227392\pi\) |
−0.996300 | + | 0.0859486i | \(0.972608\pi\) | |||||||
\(20\) | 2.88962 | + | 2.09943i | 0.646138 | + | 0.469446i | ||||
\(21\) | 9.84259 | 2.14783 | ||||||||
\(22\) | 0.787191 | + | 0.281412i | 0.167830 | + | 0.0599972i | ||||
\(23\) | 7.01119 | 1.46193 | 0.730967 | − | 0.682412i | \(-0.239069\pi\) | ||||
0.730967 | + | 0.682412i | \(0.239069\pi\) | |||||||
\(24\) | −2.46057 | − | 1.78771i | −0.502262 | − | 0.364914i | ||||
\(25\) | −0.493784 | + | 1.51971i | −0.0987569 | + | 0.303942i | ||||
\(26\) | −0.0778900 | − | 0.239721i | −0.0152755 | − | 0.0470131i | ||||
\(27\) | −8.42170 | + | 6.11872i | −1.62076 | + | 1.17755i | ||||
\(28\) | 5.03043 | − | 3.65482i | 0.950662 | − | 0.690696i | ||||
\(29\) | 1.18771 | + | 3.65539i | 0.220552 | + | 0.678789i | 0.998713 | + | 0.0507236i | \(0.0161528\pi\) |
−0.778161 | + | 0.628065i | \(0.783847\pi\) | |||||||
\(30\) | −0.440378 | + | 1.35535i | −0.0804017 | + | 0.247451i | ||||
\(31\) | −3.96029 | − | 2.87732i | −0.711290 | − | 0.516782i | 0.172300 | − | 0.985045i | \(-0.444880\pi\) |
−0.883589 | + | 0.468262i | \(0.844880\pi\) | |||||||
\(32\) | −2.89759 | −0.512227 | ||||||||
\(33\) | 0.296527 | − | 10.1621i | 0.0516187 | − | 1.76899i | ||||
\(34\) | 1.53242 | 0.262809 | ||||||||
\(35\) | −4.79145 | − | 3.48119i | −0.809903 | − | 0.588429i | ||||
\(36\) | −3.82739 | + | 11.7795i | −0.637898 | + | 1.96325i | ||||
\(37\) | 0.477278 | + | 1.46891i | 0.0784640 | + | 0.241487i | 0.982593 | − | 0.185773i | \(-0.0594789\pi\) |
−0.904129 | + | 0.427260i | \(0.859479\pi\) | |||||||
\(38\) | −0.692628 | + | 0.503224i | −0.112359 | + | 0.0816337i | ||||
\(39\) | −2.47987 | + | 1.80173i | −0.397098 | + | 0.288508i | ||||
\(40\) | 0.565537 | + | 1.74054i | 0.0894192 | + | 0.275204i | ||||
\(41\) | −1.69912 | + | 5.22934i | −0.265357 | + | 0.816686i | 0.726253 | + | 0.687427i | \(0.241260\pi\) |
−0.991611 | + | 0.129259i | \(0.958740\pi\) | |||||||
\(42\) | 2.00709 | + | 1.45823i | 0.309700 | + | 0.225010i | ||||
\(43\) | −6.07661 | −0.926674 | −0.463337 | − | 0.886182i | \(-0.653348\pi\) | ||||
−0.463337 | + | 0.886182i | \(0.653348\pi\) | |||||||
\(44\) | −3.62191 | − | 5.30384i | −0.546024 | − | 0.799584i | ||||
\(45\) | 11.7973 | 1.75864 | ||||||||
\(46\) | 1.42971 | + | 1.03875i | 0.210800 | + | 0.153155i | ||||
\(47\) | −1.32057 | + | 4.06429i | −0.192625 | + | 0.592838i | 0.807371 | + | 0.590043i | \(0.200889\pi\) |
−0.999996 | + | 0.00279416i | \(0.999111\pi\) | |||||||
\(48\) | 3.43165 | + | 10.5615i | 0.495316 | + | 1.52443i | ||||
\(49\) | −2.67815 | + | 1.94579i | −0.382593 | + | 0.277970i | ||||
\(50\) | −0.325846 | + | 0.236741i | −0.0460815 | + | 0.0334802i | ||||
\(51\) | −5.75882 | − | 17.7238i | −0.806397 | − | 2.48183i | ||||
\(52\) | −0.598401 | + | 1.84169i | −0.0829833 | + | 0.255396i | ||||
\(53\) | −1.82705 | − | 1.32743i | −0.250965 | − | 0.182337i | 0.455189 | − | 0.890395i | \(-0.349572\pi\) |
−0.706154 | + | 0.708058i | \(0.749572\pi\) | |||||||
\(54\) | −2.62386 | −0.357063 | ||||||||
\(55\) | −3.73855 | + | 4.84212i | −0.504107 | + | 0.652911i | ||||
\(56\) | 3.18598 | 0.425745 | ||||||||
\(57\) | 8.42311 | + | 6.11975i | 1.11567 | + | 0.810581i | ||||
\(58\) | −0.299370 | + | 0.921368i | −0.0393093 | + | 0.120981i | ||||
\(59\) | −0.741585 | − | 2.28236i | −0.0965461 | − | 0.297138i | 0.891107 | − | 0.453792i | \(-0.149929\pi\) |
−0.987654 | + | 0.156654i | \(0.949929\pi\) | |||||||
\(60\) | 8.85752 | − | 6.43536i | 1.14350 | − | 0.830802i | ||||
\(61\) | 1.14241 | − | 0.830012i | 0.146271 | − | 0.106272i | −0.512243 | − | 0.858841i | \(-0.671185\pi\) |
0.658514 | + | 0.752568i | \(0.271185\pi\) | |||||||
\(62\) | −0.381287 | − | 1.17348i | −0.0484234 | − | 0.149032i | ||||
\(63\) | 6.34643 | − | 19.5323i | 0.799575 | − | 2.46084i | ||||
\(64\) | 5.27100 | + | 3.82961i | 0.658875 | + | 0.478701i | ||||
\(65\) | 1.84447 | 0.228779 | ||||||||
\(66\) | 1.56604 | − | 2.02831i | 0.192766 | − | 0.249668i | ||||
\(67\) | −15.7025 | −1.91836 | −0.959181 | − | 0.282794i | \(-0.908739\pi\) | ||||
−0.959181 | + | 0.282794i | \(0.908739\pi\) | |||||||
\(68\) | −9.52461 | − | 6.92003i | −1.15503 | − | 0.839177i | ||||
\(69\) | 6.64120 | − | 20.4395i | 0.799506 | − | 2.46063i | ||||
\(70\) | −0.461308 | − | 1.41976i | −0.0551369 | − | 0.169694i | ||||
\(71\) | 3.62190 | − | 2.63146i | 0.429840 | − | 0.312297i | −0.351745 | − | 0.936096i | \(-0.614412\pi\) |
0.781585 | + | 0.623799i | \(0.214412\pi\) | |||||||
\(72\) | −5.13421 | + | 3.73022i | −0.605072 | + | 0.439611i | ||||
\(73\) | 0.860955 | + | 2.64975i | 0.100767 | + | 0.310129i | 0.988714 | − | 0.149817i | \(-0.0478685\pi\) |
−0.887947 | + | 0.459947i | \(0.847869\pi\) | |||||||
\(74\) | −0.120301 | + | 0.370250i | −0.0139848 | + | 0.0430406i | ||||
\(75\) | 3.96264 | + | 2.87903i | 0.457566 | + | 0.332441i | ||||
\(76\) | 6.57738 | 0.754478 | ||||||||
\(77\) | 6.00572 | + | 8.79463i | 0.684416 | + | 1.00224i | ||||
\(78\) | −0.772630 | −0.0874831 | ||||||||
\(79\) | 7.17961 | + | 5.21629i | 0.807769 | + | 0.586878i | 0.913183 | − | 0.407550i | \(-0.133617\pi\) |
−0.105414 | + | 0.994428i | \(0.533617\pi\) | |||||||
\(80\) | 2.06492 | − | 6.35518i | 0.230865 | − | 0.710530i | ||||
\(81\) | 3.93100 | + | 12.0984i | 0.436778 | + | 1.34426i | ||||
\(82\) | −1.12124 | + | 0.814627i | −0.123820 | + | 0.0899605i | ||||
\(83\) | −7.23835 | + | 5.25897i | −0.794512 | + | 0.577247i | −0.909299 | − | 0.416144i | \(-0.863381\pi\) |
0.114787 | + | 0.993390i | \(0.463381\pi\) | |||||||
\(84\) | −5.88982 | − | 18.1270i | −0.642632 | − | 1.97782i | ||||
\(85\) | −3.46525 | + | 10.6649i | −0.375859 | + | 1.15677i | ||||
\(86\) | −1.23913 | − | 0.900284i | −0.133619 | − | 0.0970801i | ||||
\(87\) | 11.7815 | 1.26311 | ||||||||
\(88\) | 0.0959839 | − | 3.28941i | 0.0102319 | − | 0.350652i | ||||
\(89\) | 0.928281 | 0.0983976 | 0.0491988 | − | 0.998789i | \(-0.484333\pi\) | ||||
0.0491988 | + | 0.998789i | \(0.484333\pi\) | |||||||
\(90\) | 2.40569 | + | 1.74783i | 0.253582 | + | 0.184238i | ||||
\(91\) | 0.992247 | − | 3.05382i | 0.104016 | − | 0.320127i | ||||
\(92\) | −4.19551 | − | 12.9124i | −0.437412 | − | 1.34622i | ||||
\(93\) | −12.1395 | + | 8.81983i | −1.25880 | + | 0.914574i | ||||
\(94\) | −0.871436 | + | 0.633135i | −0.0898818 | + | 0.0653029i | ||||
\(95\) | −1.93597 | − | 5.95829i | −0.198626 | − | 0.611308i | ||||
\(96\) | −2.74468 | + | 8.44726i | −0.280128 | + | 0.862145i | ||||
\(97\) | −8.68068 | − | 6.30689i | −0.881390 | − | 0.640367i | 0.0522290 | − | 0.998635i | \(-0.483367\pi\) |
−0.933619 | + | 0.358268i | \(0.883367\pi\) | |||||||
\(98\) | −0.834405 | −0.0842877 | ||||||||
\(99\) | −19.9752 | − | 7.14090i | −2.00758 | − | 0.717687i | ||||
\(100\) | 3.09432 | 0.309432 | ||||||||
\(101\) | −9.18181 | − | 6.67097i | −0.913624 | − | 0.663787i | 0.0283049 | − | 0.999599i | \(-0.490989\pi\) |
−0.941929 | + | 0.335813i | \(0.890989\pi\) | |||||||
\(102\) | 1.45155 | − | 4.46742i | 0.143725 | − | 0.442341i | ||||
\(103\) | 3.65584 | + | 11.2515i | 0.360221 | + | 1.10865i | 0.952920 | + | 0.303222i | \(0.0980623\pi\) |
−0.592699 | + | 0.805424i | \(0.701938\pi\) | |||||||
\(104\) | −0.802719 | + | 0.583210i | −0.0787131 | + | 0.0571884i | ||||
\(105\) | −14.6872 | + | 10.6709i | −1.43332 | + | 1.04137i | ||||
\(106\) | −0.175904 | − | 0.541377i | −0.0170853 | − | 0.0525832i | ||||
\(107\) | 3.17202 | − | 9.76246i | 0.306650 | − | 0.943773i | −0.672406 | − | 0.740183i | \(-0.734739\pi\) |
0.979056 | − | 0.203590i | \(-0.0652610\pi\) | |||||||
\(108\) | 16.3083 | + | 11.8487i | 1.56927 | + | 1.14014i | ||||
\(109\) | 17.0997 | 1.63786 | 0.818929 | − | 0.573895i | \(-0.194568\pi\) | ||||
0.818929 | + | 0.573895i | \(0.194568\pi\) | |||||||
\(110\) | −1.47975 | + | 0.433511i | −0.141088 | + | 0.0413336i | ||||
\(111\) | 4.73435 | 0.449365 | ||||||||
\(112\) | −9.41118 | − | 6.83762i | −0.889273 | − | 0.646094i | ||||
\(113\) | −2.37168 | + | 7.29927i | −0.223109 | + | 0.686658i | 0.775369 | + | 0.631508i | \(0.217564\pi\) |
−0.998478 | + | 0.0551499i | \(0.982436\pi\) | |||||||
\(114\) | 0.810955 | + | 2.49586i | 0.0759529 | + | 0.233759i | ||||
\(115\) | −10.4622 | + | 7.60121i | −0.975603 | + | 0.708817i | ||||
\(116\) | 6.02136 | − | 4.37478i | 0.559070 | − | 0.406188i | ||||
\(117\) | 1.97648 | + | 6.08297i | 0.182725 | + | 0.562371i | ||||
\(118\) | 0.186922 | − | 0.575287i | 0.0172076 | − | 0.0529594i | ||||
\(119\) | 15.7934 | + | 11.4745i | 1.44777 | + | 1.05187i | ||||
\(120\) | 5.60984 | 0.512106 | ||||||||
\(121\) | 9.26106 | − | 5.93573i | 0.841914 | − | 0.539612i | ||||
\(122\) | 0.355930 | 0.0322244 | ||||||||
\(123\) | 13.6355 | + | 9.90675i | 1.22947 | + | 0.893262i | ||||
\(124\) | −2.92929 | + | 9.01542i | −0.263058 | + | 0.809609i | ||||
\(125\) | −3.76064 | − | 11.5741i | −0.336362 | − | 1.03522i | ||||
\(126\) | 4.18798 | − | 3.04274i | 0.373094 | − | 0.271069i | ||||
\(127\) | −8.75209 | + | 6.35877i | −0.776622 | + | 0.564249i | −0.903963 | − | 0.427610i | \(-0.859356\pi\) |
0.127341 | + | 0.991859i | \(0.459356\pi\) | |||||||
\(128\) | 2.29829 | + | 7.07341i | 0.203142 | + | 0.625207i | ||||
\(129\) | −5.75593 | + | 17.7149i | −0.506782 | + | 1.55971i | ||||
\(130\) | 0.376123 | + | 0.273269i | 0.0329881 | + | 0.0239673i | ||||
\(131\) | 0.802380 | 0.0701043 | 0.0350521 | − | 0.999385i | \(-0.488840\pi\) | ||||
0.0350521 | + | 0.999385i | \(0.488840\pi\) | |||||||
\(132\) | −18.8929 | + | 5.53490i | −1.64441 | + | 0.481751i | ||||
\(133\) | −10.9064 | −0.945702 | ||||||||
\(134\) | −3.20203 | − | 2.32641i | −0.276613 | − | 0.200971i | ||||
\(135\) | 5.93330 | − | 18.2608i | 0.510657 | − | 1.57164i | ||||
\(136\) | −1.86409 | − | 5.73709i | −0.159845 | − | 0.491952i | ||||
\(137\) | 8.20593 | − | 5.96196i | 0.701080 | − | 0.509365i | −0.179204 | − | 0.983812i | \(-0.557352\pi\) |
0.880284 | + | 0.474447i | \(0.157352\pi\) | |||||||
\(138\) | 4.38249 | − | 3.18407i | 0.373062 | − | 0.271046i | ||||
\(139\) | −6.13238 | − | 18.8735i | −0.520142 | − | 1.60083i | −0.773727 | − | 0.633519i | \(-0.781610\pi\) |
0.253586 | − | 0.967313i | \(-0.418390\pi\) | |||||||
\(140\) | −3.54407 | + | 10.9075i | −0.299528 | + | 0.921854i | ||||
\(141\) | 10.5976 | + | 7.69961i | 0.892480 | + | 0.648425i | ||||
\(142\) | 1.12844 | 0.0946964 | ||||||||
\(143\) | −3.12306 | − | 1.11646i | −0.261164 | − | 0.0933630i | ||||
\(144\) | 23.1717 | 1.93098 | ||||||||
\(145\) | −5.73531 | − | 4.16695i | −0.476292 | − | 0.346046i | ||||
\(146\) | −0.217010 | + | 0.667888i | −0.0179599 | + | 0.0552748i | ||||
\(147\) | 3.13568 | + | 9.65064i | 0.258627 | + | 0.795971i | ||||
\(148\) | 2.41967 | − | 1.75799i | 0.198896 | − | 0.144506i | ||||
\(149\) | 0.522667 | − | 0.379740i | 0.0428185 | − | 0.0311095i | −0.566170 | − | 0.824288i | \(-0.691575\pi\) |
0.608989 | + | 0.793179i | \(0.291575\pi\) | |||||||
\(150\) | 0.381512 | + | 1.17417i | 0.0311504 | + | 0.0958709i | ||||
\(151\) | 1.43776 | − | 4.42497i | 0.117003 | − | 0.360099i | −0.875356 | − | 0.483478i | \(-0.839373\pi\) |
0.992360 | + | 0.123379i | \(0.0393732\pi\) | |||||||
\(152\) | 2.72651 | + | 1.98092i | 0.221149 | + | 0.160674i | ||||
\(153\) | −38.8856 | −3.14372 | ||||||||
\(154\) | −0.0782941 | + | 2.68317i | −0.00630912 | + | 0.216216i | ||||
\(155\) | 9.02905 | 0.725231 | ||||||||
\(156\) | 4.80219 | + | 3.48900i | 0.384483 | + | 0.279343i | ||||
\(157\) | −2.15944 | + | 6.64609i | −0.172342 | + | 0.530416i | −0.999502 | − | 0.0315514i | \(-0.989955\pi\) |
0.827160 | + | 0.561967i | \(0.189955\pi\) | |||||||
\(158\) | 0.691234 | + | 2.12740i | 0.0549916 | + | 0.169247i | ||||
\(159\) | −5.60046 | + | 4.06897i | −0.444145 | + | 0.322690i | ||||
\(160\) | 4.32382 | − | 3.14144i | 0.341828 | − | 0.248353i | ||||
\(161\) | 6.95683 | + | 21.4109i | 0.548275 | + | 1.68742i | ||||
\(162\) | −0.990838 | + | 3.04949i | −0.0778476 | + | 0.239590i | ||||
\(163\) | −7.36401 | − | 5.35026i | −0.576794 | − | 0.419065i | 0.260773 | − | 0.965400i | \(-0.416023\pi\) |
−0.837567 | + | 0.546335i | \(0.816023\pi\) | |||||||
\(164\) | 10.6476 | 0.831436 | ||||||||
\(165\) | 10.5748 | + | 15.4855i | 0.823247 | + | 1.20554i | ||||
\(166\) | −2.25518 | −0.175036 | ||||||||
\(167\) | −7.74160 | − | 5.62460i | −0.599063 | − | 0.435245i | 0.246483 | − | 0.969147i | \(-0.420725\pi\) |
−0.845546 | + | 0.533902i | \(0.820725\pi\) | |||||||
\(168\) | 3.01785 | − | 9.28799i | 0.232832 | − | 0.716584i | ||||
\(169\) | 0.309017 | + | 0.951057i | 0.0237705 | + | 0.0731582i | ||||
\(170\) | −2.28670 | + | 1.66138i | −0.175382 | + | 0.127422i | ||||
\(171\) | 17.5756 | − | 12.7694i | 1.34404 | − | 0.976502i | ||||
\(172\) | 3.63625 | + | 11.1912i | 0.277262 | + | 0.853323i | ||||
\(173\) | −1.45508 | + | 4.47829i | −0.110628 | + | 0.340478i | −0.991010 | − | 0.133787i | \(-0.957286\pi\) |
0.880382 | + | 0.474265i | \(0.157286\pi\) | |||||||
\(174\) | 2.40246 | + | 1.74549i | 0.182130 | + | 0.132325i | ||||
\(175\) | −5.13088 | −0.387858 | ||||||||
\(176\) | −7.34312 | + | 9.51069i | −0.553508 | + | 0.716895i | ||||
\(177\) | −7.35615 | −0.552922 | ||||||||
\(178\) | 0.189294 | + | 0.137530i | 0.0141882 | + | 0.0103083i | ||||
\(179\) | −0.734289 | + | 2.25991i | −0.0548833 | + | 0.168914i | −0.974741 | − | 0.223339i | \(-0.928304\pi\) |
0.919857 | + | 0.392253i | \(0.128304\pi\) | |||||||
\(180\) | −7.05951 | − | 21.7269i | −0.526185 | − | 1.61943i | ||||
\(181\) | 8.88408 | − | 6.45466i | 0.660349 | − | 0.479771i | −0.206432 | − | 0.978461i | \(-0.566185\pi\) |
0.866781 | + | 0.498690i | \(0.166185\pi\) | |||||||
\(182\) | 0.654779 | − | 0.475724i | 0.0485354 | − | 0.0352630i | ||||
\(183\) | −1.33758 | − | 4.11665i | −0.0988768 | − | 0.304311i | ||||
\(184\) | 2.14971 | − | 6.61614i | 0.158479 | − | 0.487748i | ||||
\(185\) | −2.30472 | − | 1.67448i | −0.169447 | − | 0.123110i | ||||
\(186\) | −3.78217 | −0.277322 | ||||||||
\(187\) | 12.3228 | − | 15.9604i | 0.901135 | − | 1.16714i | ||||
\(188\) | 8.27539 | 0.603545 | ||||||||
\(189\) | −27.0419 | − | 19.6471i | −1.96701 | − | 1.42911i | ||||
\(190\) | 0.487974 | − | 1.50183i | 0.0354014 | − | 0.108954i | ||||
\(191\) | −0.826491 | − | 2.54368i | −0.0598028 | − | 0.184054i | 0.916692 | − | 0.399594i | \(-0.130849\pi\) |
−0.976495 | + | 0.215540i | \(0.930849\pi\) | |||||||
\(192\) | 16.1572 | − | 11.7389i | 1.16604 | − | 0.847180i | ||||
\(193\) | 9.66618 | − | 7.02289i | 0.695787 | − | 0.505519i | −0.182770 | − | 0.983156i | \(-0.558507\pi\) |
0.878557 | + | 0.477637i | \(0.158507\pi\) | |||||||
\(194\) | −0.835753 | − | 2.57218i | −0.0600036 | − | 0.184672i | ||||
\(195\) | 1.74714 | − | 5.37713i | 0.125115 | − | 0.385064i | ||||
\(196\) | 5.18615 | + | 3.76796i | 0.370440 | + | 0.269140i | ||||
\(197\) | 4.24305 | 0.302305 | 0.151152 | − | 0.988510i | \(-0.451702\pi\) | ||||
0.151152 | + | 0.988510i | \(0.451702\pi\) | |||||||
\(198\) | −3.01535 | − | 4.41560i | −0.214291 | − | 0.313803i | ||||
\(199\) | −17.9236 | −1.27057 | −0.635287 | − | 0.772276i | \(-0.719118\pi\) | ||||
−0.635287 | + | 0.772276i | \(0.719118\pi\) | |||||||
\(200\) | 1.28268 | + | 0.931922i | 0.0906992 | + | 0.0658969i | ||||
\(201\) | −14.8738 | + | 45.7769i | −1.04912 | + | 3.22885i | ||||
\(202\) | −0.884000 | − | 2.72067i | −0.0621980 | − | 0.191426i | ||||
\(203\) | −9.98440 | + | 7.25409i | −0.700768 | + | 0.509138i | ||||
\(204\) | −29.1957 | + | 21.2119i | −2.04411 | + | 1.48513i | ||||
\(205\) | −3.13397 | − | 9.64538i | −0.218886 | − | 0.673663i | ||||
\(206\) | −0.921482 | + | 2.83603i | −0.0642027 | + | 0.197596i | ||||
\(207\) | −36.2793 | − | 26.3585i | −2.52159 | − | 1.83204i | ||||
\(208\) | 3.62284 | 0.251199 | ||||||||
\(209\) | −0.328576 | + | 11.2604i | −0.0227281 | + | 0.778899i | ||||
\(210\) | −4.57595 | −0.315770 | ||||||||
\(211\) | 18.0048 | + | 13.0812i | 1.23950 | + | 0.900550i | 0.997565 | − | 0.0697421i | \(-0.0222176\pi\) |
0.241936 | + | 0.970292i | \(0.422218\pi\) | |||||||
\(212\) | −1.35141 | + | 4.15921i | −0.0928151 | + | 0.285655i | ||||
\(213\) | −4.24065 | − | 13.0514i | −0.290565 | − | 0.894266i | ||||
\(214\) | 2.09320 | − | 1.52080i | 0.143088 | − | 0.103960i | ||||
\(215\) | 9.06758 | − | 6.58798i | 0.618404 | − | 0.449297i | ||||
\(216\) | 3.19176 | + | 9.82323i | 0.217172 | + | 0.668386i | ||||
\(217\) | 4.85724 | − | 14.9490i | 0.329731 | − | 1.01481i | ||||
\(218\) | 3.48696 | + | 2.53342i | 0.236166 | + | 0.171585i | ||||
\(219\) | 8.54024 | 0.577096 | ||||||||
\(220\) | 11.1548 | + | 3.98773i | 0.752059 | + | 0.268853i | ||||
\(221\) | −6.07966 | −0.408962 | ||||||||
\(222\) | 0.965423 | + | 0.701421i | 0.0647950 | + | 0.0470763i | ||||
\(223\) | 0.531120 | − | 1.63462i | 0.0355664 | − | 0.109462i | −0.931697 | − | 0.363236i | \(-0.881672\pi\) |
0.967264 | + | 0.253774i | \(0.0816719\pi\) | |||||||
\(224\) | −2.87513 | − | 8.84874i | −0.192103 | − | 0.591231i | ||||
\(225\) | 8.26841 | − | 6.00735i | 0.551228 | − | 0.400490i | ||||
\(226\) | −1.56506 | + | 1.13708i | −0.104106 | + | 0.0756375i | ||||
\(227\) | −7.45546 | − | 22.9455i | −0.494836 | − | 1.52295i | −0.817212 | − | 0.576338i | \(-0.804481\pi\) |
0.322375 | − | 0.946612i | \(-0.395519\pi\) | |||||||
\(228\) | 6.23028 | − | 19.1748i | 0.412610 | − | 1.26988i | ||||
\(229\) | −3.08058 | − | 2.23817i | −0.203570 | − | 0.147903i | 0.481329 | − | 0.876540i | \(-0.340154\pi\) |
−0.684900 | + | 0.728637i | \(0.740154\pi\) | |||||||
\(230\) | −3.25960 | −0.214931 | ||||||||
\(231\) | 31.3275 | − | 9.17777i | 2.06120 | − | 0.603853i | ||||
\(232\) | 3.81358 | 0.250374 | ||||||||
\(233\) | 7.34568 | + | 5.33695i | 0.481231 | + | 0.349635i | 0.801802 | − | 0.597589i | \(-0.203875\pi\) |
−0.320571 | + | 0.947225i | \(0.603875\pi\) | |||||||
\(234\) | −0.498186 | + | 1.53326i | −0.0325674 | + | 0.100232i | ||||
\(235\) | −2.43575 | − | 7.49647i | −0.158891 | − | 0.489016i | ||||
\(236\) | −3.75964 | + | 2.73154i | −0.244732 | + | 0.177808i | ||||
\(237\) | 22.0076 | − | 15.9895i | 1.42955 | − | 1.03863i | ||||
\(238\) | 1.52054 | + | 4.67975i | 0.0985621 | + | 0.303343i | ||||
\(239\) | −3.15771 | + | 9.71843i | −0.204255 | + | 0.628633i | 0.795488 | + | 0.605970i | \(0.207215\pi\) |
−0.999743 | + | 0.0226637i | \(0.992785\pi\) | |||||||
\(240\) | −16.5711 | − | 12.0396i | −1.06966 | − | 0.777153i | ||||
\(241\) | 18.0160 | 1.16051 | 0.580257 | − | 0.814434i | \(-0.302952\pi\) | ||||
0.580257 | + | 0.814434i | \(0.302952\pi\) | |||||||
\(242\) | 2.76791 | + | 0.161671i | 0.177928 | + | 0.0103926i | ||||
\(243\) | 7.76420 | 0.498074 | ||||||||
\(244\) | −2.21225 | − | 1.60729i | −0.141624 | − | 0.102896i | ||||
\(245\) | 1.88683 | − | 5.80706i | 0.120545 | − | 0.370999i | ||||
\(246\) | 1.31279 | + | 4.04035i | 0.0837003 | + | 0.257603i | ||||
\(247\) | 2.74790 | − | 1.99646i | 0.174845 | − | 0.127032i | ||||
\(248\) | −3.92946 | + | 2.85492i | −0.249521 | + | 0.181288i | ||||
\(249\) | 8.47493 | + | 26.0831i | 0.537077 | + | 1.65295i | ||||
\(250\) | 0.947897 | − | 2.91733i | 0.0599503 | − | 0.184508i | ||||
\(251\) | −7.91714 | − | 5.75214i | −0.499725 | − | 0.363072i | 0.309187 | − | 0.951001i | \(-0.399943\pi\) |
−0.808912 | + | 0.587930i | \(0.799943\pi\) | |||||||
\(252\) | −39.7701 | −2.50528 | ||||||||
\(253\) | 22.3156 | − | 6.53762i | 1.40297 | − | 0.411017i | ||||
\(254\) | −2.72680 | −0.171095 | ||||||||
\(255\) | 27.8087 | + | 20.2042i | 1.74145 | + | 1.26524i | ||||
\(256\) | 3.44739 | − | 10.6100i | 0.215462 | − | 0.663123i | ||||
\(257\) | −1.33960 | − | 4.12285i | −0.0835617 | − | 0.257177i | 0.900543 | − | 0.434768i | \(-0.143170\pi\) |
−0.984104 | + | 0.177591i | \(0.943170\pi\) | |||||||
\(258\) | −3.79831 | + | 2.75963i | −0.236472 | + | 0.171807i | ||||
\(259\) | −4.01221 | + | 2.91504i | −0.249307 | + | 0.181132i | ||||
\(260\) | −1.10373 | − | 3.39695i | −0.0684507 | − | 0.210670i | ||||
\(261\) | 7.59660 | − | 23.3799i | 0.470218 | − | 1.44718i | ||||
\(262\) | 0.163620 | + | 0.118877i | 0.0101085 | + | 0.00734425i | ||||
\(263\) | 10.7766 | 0.664514 | 0.332257 | − | 0.943189i | \(-0.392190\pi\) | ||||
0.332257 | + | 0.943189i | \(0.392190\pi\) | |||||||
\(264\) | −9.49858 | − | 3.39564i | −0.584597 | − | 0.208987i | ||||
\(265\) | 4.16549 | 0.255884 | ||||||||
\(266\) | −2.22401 | − | 1.61584i | −0.136363 | − | 0.0990735i | ||||
\(267\) | 0.879293 | − | 2.70619i | 0.0538119 | − | 0.165616i | ||||
\(268\) | 9.39637 | + | 28.9191i | 0.573975 | + | 1.76651i | ||||
\(269\) | −7.83476 | + | 5.69228i | −0.477694 | + | 0.347065i | −0.800432 | − | 0.599423i | \(-0.795397\pi\) |
0.322739 | + | 0.946488i | \(0.395397\pi\) | |||||||
\(270\) | 3.91536 | − | 2.84467i | 0.238281 | − | 0.173121i | ||||
\(271\) | 5.45763 | + | 16.7969i | 0.331527 | + | 1.02034i | 0.968407 | + | 0.249373i | \(0.0802246\pi\) |
−0.636880 | + | 0.770963i | \(0.719775\pi\) | |||||||
\(272\) | −6.80630 | + | 20.9476i | −0.412692 | + | 1.27014i | ||||
\(273\) | −7.96282 | − | 5.78533i | −0.481932 | − | 0.350144i | ||||
\(274\) | 2.55664 | 0.154452 | ||||||||
\(275\) | −0.154578 | + | 5.29744i | −0.00932140 | + | 0.319448i | ||||
\(276\) | −41.6173 | −2.50507 | ||||||||
\(277\) | 4.40091 | + | 3.19745i | 0.264425 | + | 0.192116i | 0.712096 | − | 0.702083i | \(-0.247746\pi\) |
−0.447671 | + | 0.894199i | \(0.647746\pi\) | |||||||
\(278\) | 1.54571 | − | 4.75721i | 0.0927056 | − | 0.285319i | ||||
\(279\) | 9.67524 | + | 29.7773i | 0.579241 | + | 1.78272i | ||||
\(280\) | −4.75415 | + | 3.45410i | −0.284115 | + | 0.206422i | ||||
\(281\) | 22.8192 | − | 16.5791i | 1.36128 | − | 0.989026i | 0.362915 | − | 0.931822i | \(-0.381782\pi\) |
0.998363 | − | 0.0572036i | \(-0.0182184\pi\) | |||||||
\(282\) | 1.02031 | + | 3.14019i | 0.0607586 | + | 0.186996i | ||||
\(283\) | −6.01313 | + | 18.5065i | −0.357443 | + | 1.10010i | 0.597136 | + | 0.802140i | \(0.296305\pi\) |
−0.954579 | + | 0.297957i | \(0.903695\pi\) | |||||||
\(284\) | −7.01368 | − | 5.09574i | −0.416186 | − | 0.302376i | ||||
\(285\) | −19.2038 | −1.13754 | ||||||||
\(286\) | −0.471441 | − | 0.690366i | −0.0278769 | − | 0.0408222i | ||||
\(287\) | −17.6554 | −1.04217 | ||||||||
\(288\) | 14.9936 | + | 10.8935i | 0.883504 | + | 0.641904i | ||||
\(289\) | 6.16869 | − | 18.9853i | 0.362864 | − | 1.11678i | ||||
\(290\) | −0.552181 | − | 1.69944i | −0.0324252 | − | 0.0997944i | ||||
\(291\) | −26.6088 | + | 19.3324i | −1.55984 | + | 1.13329i | ||||
\(292\) | 4.36482 | − | 3.17122i | 0.255431 | − | 0.185582i | ||||
\(293\) | 6.13456 | + | 18.8802i | 0.358385 | + | 1.10299i | 0.954021 | + | 0.299740i | \(0.0968999\pi\) |
−0.595636 | + | 0.803254i | \(0.703100\pi\) | |||||||
\(294\) | −0.790372 | + | 2.43251i | −0.0460954 | + | 0.141867i | ||||
\(295\) | 3.58103 | + | 2.60177i | 0.208496 | + | 0.151481i | ||||
\(296\) | 1.53248 | 0.0890736 | ||||||||
\(297\) | −21.0996 | + | 27.3278i | −1.22432 | + | 1.58572i | ||||
\(298\) | 0.162842 | 0.00943319 | ||||||||
\(299\) | −5.67217 | − | 4.12108i | −0.328030 | − | 0.238328i | ||||
\(300\) | 2.93102 | − | 9.02076i | 0.169223 | − | 0.520814i | ||||
\(301\) | −6.02950 | − | 18.5569i | −0.347534 | − | 1.06960i | ||||
\(302\) | 0.948770 | − | 0.689322i | 0.0545956 | − | 0.0396660i | ||||
\(303\) | −28.1449 | + | 20.4485i | −1.61688 | + | 1.17473i | ||||
\(304\) | −3.80255 | − | 11.7030i | −0.218091 | − | 0.671215i | ||||
\(305\) | −0.804860 | + | 2.47710i | −0.0460861 | + | 0.141839i | ||||
\(306\) | −7.92951 | − | 5.76113i | −0.453300 | − | 0.329342i | ||||
\(307\) | −28.6421 | −1.63469 | −0.817345 | − | 0.576149i | \(-0.804555\pi\) | ||||
−0.817345 | + | 0.576149i | \(0.804555\pi\) | |||||||
\(308\) | 12.6031 | − | 16.3234i | 0.718131 | − | 0.930112i | ||||
\(309\) | 36.2641 | 2.06299 | ||||||||
\(310\) | 1.84119 | + | 1.33770i | 0.104573 | + | 0.0759765i | ||||
\(311\) | −8.70834 | + | 26.8015i | −0.493805 | + | 1.51978i | 0.325006 | + | 0.945712i | \(0.394634\pi\) |
−0.818811 | + | 0.574063i | \(0.805366\pi\) | |||||||
\(312\) | 0.939854 | + | 2.89257i | 0.0532088 | + | 0.163760i | ||||
\(313\) | −1.40337 | + | 1.01961i | −0.0793234 | + | 0.0576318i | −0.626740 | − | 0.779228i | \(-0.715611\pi\) |
0.547417 | + | 0.836860i | \(0.315611\pi\) | |||||||
\(314\) | −1.42501 | + | 1.03533i | −0.0804178 | + | 0.0584269i | ||||
\(315\) | 11.7058 | + | 36.0268i | 0.659548 | + | 2.02988i | ||||
\(316\) | 5.31050 | − | 16.3440i | 0.298739 | − | 0.919424i | ||||
\(317\) | −3.91151 | − | 2.84188i | −0.219692 | − | 0.159616i | 0.472496 | − | 0.881333i | \(-0.343353\pi\) |
−0.692188 | + | 0.721717i | \(0.743353\pi\) | |||||||
\(318\) | −1.74488 | −0.0978480 | ||||||||
\(319\) | 7.18878 | + | 10.5271i | 0.402494 | + | 0.589402i | ||||
\(320\) | −12.0173 | −0.671789 | ||||||||
\(321\) | −25.4556 | − | 18.4945i | −1.42079 | − | 1.03226i | ||||
\(322\) | −1.75352 | + | 5.39678i | −0.0977199 | + | 0.300751i | ||||
\(323\) | 6.38124 | + | 19.6394i | 0.355062 | + | 1.09277i | ||||
\(324\) | 19.9292 | − | 14.4794i | 1.10718 | − | 0.804410i | ||||
\(325\) | 1.29274 | − | 0.939234i | 0.0717085 | − | 0.0520993i | ||||
\(326\) | −0.708987 | − | 2.18204i | −0.0392672 | − | 0.120852i | ||||
\(327\) | 16.1973 | − | 49.8503i | 0.895715 | − | 2.75673i | ||||
\(328\) | 4.41372 | + | 3.20675i | 0.243707 | + | 0.177063i | ||||
\(329\) | −13.7219 | −0.756515 | ||||||||
\(330\) | −0.137859 | + | 4.72449i | −0.00758891 | + | 0.260075i | ||||
\(331\) | −0.708422 | −0.0389384 | −0.0194692 | − | 0.999810i | \(-0.506198\pi\) | ||||
−0.0194692 | + | 0.999810i | \(0.506198\pi\) | |||||||
\(332\) | 14.0168 | + | 10.1838i | 0.769273 | + | 0.558909i | ||||
\(333\) | 3.05268 | − | 9.39517i | 0.167286 | − | 0.514852i | ||||
\(334\) | −0.745341 | − | 2.29392i | −0.0407833 | − | 0.125518i | ||||
\(335\) | 23.4314 | − | 17.0239i | 1.28019 | − | 0.930114i | ||||
\(336\) | −28.8480 | + | 20.9593i | −1.57379 | + | 1.14342i | ||||
\(337\) | 1.27882 | + | 3.93580i | 0.0696618 | + | 0.214397i | 0.979827 | − | 0.199849i | \(-0.0640453\pi\) |
−0.910165 | + | 0.414246i | \(0.864045\pi\) | |||||||
\(338\) | −0.0778900 | + | 0.239721i | −0.00423666 | + | 0.0130391i | ||||
\(339\) | 19.0328 | + | 13.8281i | 1.03372 | + | 0.751042i | ||||
\(340\) | 21.7151 | 1.17767 | ||||||||
\(341\) | −15.2880 | − | 5.46528i | −0.827891 | − | 0.295962i | ||||
\(342\) | 5.47586 | 0.296100 | ||||||||
\(343\) | 9.58466 | + | 6.96366i | 0.517523 | + | 0.376002i | ||||
\(344\) | −1.86316 | + | 5.73421i | −0.100455 | + | 0.309168i | ||||
\(345\) | 12.2495 | + | 37.7001i | 0.659491 | + | 2.02971i | ||||
\(346\) | −0.960203 | + | 0.697628i | −0.0516208 | + | 0.0375047i | ||||
\(347\) | 2.78201 | − | 2.02125i | 0.149346 | − | 0.108506i | −0.510603 | − | 0.859817i | \(-0.670578\pi\) |
0.659949 | + | 0.751310i | \(0.270578\pi\) | |||||||
\(348\) | −7.05004 | − | 21.6978i | −0.377922 | − | 1.16312i | ||||
\(349\) | 2.90042 | − | 8.92659i | 0.155256 | − | 0.477829i | −0.842931 | − | 0.538022i | \(-0.819172\pi\) |
0.998187 | + | 0.0601930i | \(0.0191716\pi\) | |||||||
\(350\) | −1.04628 | − | 0.760169i | −0.0559262 | − | 0.0406328i | ||||
\(351\) | 10.4098 | 0.555633 | ||||||||
\(352\) | −9.22261 | + | 2.70188i | −0.491567 | + | 0.144011i | ||||
\(353\) | 6.22558 | 0.331354 | 0.165677 | − | 0.986180i | \(-0.447019\pi\) | ||||
0.165677 | + | 0.986180i | \(0.447019\pi\) | |||||||
\(354\) | −1.50006 | − | 1.08985i | −0.0797271 | − | 0.0579251i | ||||
\(355\) | −2.55172 | + | 7.85339i | −0.135431 | + | 0.416814i | ||||
\(356\) | −0.555485 | − | 1.70961i | −0.0294406 | − | 0.0906089i | ||||
\(357\) | 48.4113 | − | 35.1728i | 2.56220 | − | 1.86154i | ||||
\(358\) | −0.484553 | + | 0.352049i | −0.0256094 | + | 0.0186064i | ||||
\(359\) | 9.44738 | + | 29.0760i | 0.498614 | + | 1.53457i | 0.811249 | + | 0.584701i | \(0.198788\pi\) |
−0.312635 | + | 0.949873i | \(0.601212\pi\) | |||||||
\(360\) | 3.61718 | − | 11.1325i | 0.190642 | − | 0.586737i | ||||
\(361\) | 6.03784 | + | 4.38675i | 0.317781 | + | 0.230882i | ||||
\(362\) | 2.76793 | 0.145479 | ||||||||
\(363\) | −8.53190 | − | 32.6209i | −0.447809 | − | 1.71215i | ||||
\(364\) | −6.21795 | −0.325909 | ||||||||
\(365\) | −4.15746 | − | 3.02057i | −0.217611 | − | 0.158104i | ||||
\(366\) | 0.337147 | − | 1.03763i | 0.0176230 | − | 0.0542379i | ||||
\(367\) | −10.1805 | − | 31.3324i | −0.531419 | − | 1.63554i | −0.751263 | − | 0.660004i | \(-0.770555\pi\) |
0.219844 | − | 0.975535i | \(-0.429445\pi\) | |||||||
\(368\) | −20.5494 | + | 14.9300i | −1.07121 | + | 0.778280i | ||||
\(369\) | 28.4517 | − | 20.6714i | 1.48114 | − | 1.07611i | ||||
\(370\) | −0.221893 | − | 0.682915i | −0.0115357 | − | 0.0355031i | ||||
\(371\) | 2.24085 | − | 6.89664i | 0.116339 | − | 0.358056i | ||||
\(372\) | 23.5077 | + | 17.0793i | 1.21882 | + | 0.885521i | ||||
\(373\) | −21.6720 | −1.12213 | −0.561066 | − | 0.827771i | \(-0.689608\pi\) | ||||
−0.561066 | + | 0.827771i | \(0.689608\pi\) | |||||||
\(374\) | 4.87747 | − | 1.42892i | 0.252208 | − | 0.0738875i | ||||
\(375\) | −37.3036 | −1.92635 | ||||||||
\(376\) | 3.43038 | + | 2.49232i | 0.176908 | + | 0.128531i | ||||
\(377\) | 1.18771 | − | 3.65539i | 0.0611701 | − | 0.188262i | ||||
\(378\) | −2.60352 | − | 8.01281i | −0.133911 | − | 0.412135i | ||||
\(379\) | −5.14859 | + | 3.74067i | −0.264465 | + | 0.192145i | −0.712113 | − | 0.702065i | \(-0.752262\pi\) |
0.447648 | + | 0.894210i | \(0.352262\pi\) | |||||||
\(380\) | −9.81484 | + | 7.13090i | −0.503490 | + | 0.365807i | ||||
\(381\) | 10.2473 | + | 31.5379i | 0.524984 | + | 1.61573i | ||||
\(382\) | 0.208323 | − | 0.641153i | 0.0106587 | − | 0.0328042i | ||||
\(383\) | −28.5504 | − | 20.7431i | −1.45886 | − | 1.05992i | −0.983658 | − | 0.180047i | \(-0.942375\pi\) |
−0.475202 | − | 0.879877i | \(-0.657625\pi\) | |||||||
\(384\) | 22.7979 | 1.16340 | ||||||||
\(385\) | −18.4965 | − | 6.61230i | −0.942670 | − | 0.336994i | ||||
\(386\) | 3.01160 | 0.153286 | ||||||||
\(387\) | 31.4433 | + | 22.8449i | 1.59836 | + | 1.16127i | ||||
\(388\) | −6.42079 | + | 19.7612i | −0.325966 | + | 1.00322i | ||||
\(389\) | −10.2383 | − | 31.5102i | −0.519101 | − | 1.59763i | −0.775693 | − | 0.631110i | \(-0.782600\pi\) |
0.256592 | − | 0.966520i | \(-0.417400\pi\) | |||||||
\(390\) | 1.15293 | − | 0.837650i | 0.0583807 | − | 0.0424160i | ||||
\(391\) | 34.4849 | − | 25.0548i | 1.74398 | − | 1.26707i | ||||
\(392\) | 1.01500 | + | 3.12385i | 0.0512653 | + | 0.157778i | ||||
\(393\) | 0.760036 | − | 2.33915i | 0.0383388 | − | 0.117995i | ||||
\(394\) | 0.865238 | + | 0.628632i | 0.0435901 | + | 0.0316700i | ||||
\(395\) | −16.3687 | −0.823601 | ||||||||
\(396\) | −1.19815 | + | 41.0612i | −0.0602094 | + | 2.06340i | ||||
\(397\) | −10.2548 | −0.514674 | −0.257337 | − | 0.966322i | \(-0.582845\pi\) | ||||
−0.257337 | + | 0.966322i | \(0.582845\pi\) | |||||||
\(398\) | −3.65497 | − | 2.65549i | −0.183207 | − | 0.133108i | ||||
\(399\) | −10.3308 | + | 31.7950i | −0.517188 | + | 1.59174i | ||||
\(400\) | −1.78890 | − | 5.50567i | −0.0894450 | − | 0.275284i | ||||
\(401\) | 18.0550 | − | 13.1177i | 0.901624 | − | 0.655068i | −0.0372585 | − | 0.999306i | \(-0.511862\pi\) |
0.938883 | + | 0.344237i | \(0.111862\pi\) | |||||||
\(402\) | −9.81515 | + | 7.13112i | −0.489535 | + | 0.355668i | ||||
\(403\) | 1.51270 | + | 4.65560i | 0.0753528 | + | 0.231912i | ||||
\(404\) | −6.79146 | + | 20.9020i | −0.337888 | + | 1.03991i | ||||
\(405\) | −18.9824 | − | 13.7915i | −0.943243 | − | 0.685306i | ||||
\(406\) | −3.11074 | −0.154384 | ||||||||
\(407\) | 2.88880 | + | 4.23028i | 0.143192 | + | 0.209687i | ||||
\(408\) | −18.4909 | −0.915435 | ||||||||
\(409\) | −22.4546 | − | 16.3142i | −1.11031 | − | 0.806687i | −0.127597 | − | 0.991826i | \(-0.540727\pi\) |
−0.982712 | + | 0.185139i | \(0.940727\pi\) | |||||||
\(410\) | 0.789941 | − | 2.43119i | 0.0390124 | − | 0.120068i | ||||
\(411\) | −9.60782 | − | 29.5698i | −0.473919 | − | 1.45857i | ||||
\(412\) | 18.5342 | − | 13.4659i | 0.913112 | − | 0.663415i | ||||
\(413\) | 6.23410 | − | 4.52934i | 0.306760 | − | 0.222874i | ||||
\(414\) | −3.49288 | − | 10.7500i | −0.171666 | − | 0.528332i | ||||
\(415\) | 5.09960 | − | 15.6950i | 0.250330 | − | 0.770435i | ||||
\(416\) | 2.34420 | + | 1.70316i | 0.114934 | + | 0.0835045i | ||||
\(417\) | −60.8301 | −2.97886 | ||||||||
\(418\) | −1.73530 | + | 2.24753i | −0.0848762 | + | 0.109930i | ||||
\(419\) | 35.9414 | 1.75585 | 0.877926 | − | 0.478797i | \(-0.158927\pi\) | ||||
0.877926 | + | 0.478797i | \(0.158927\pi\) | |||||||
\(420\) | 28.4413 | + | 20.6638i | 1.38779 | + | 1.00829i | ||||
\(421\) | 0.0569580 | − | 0.175299i | 0.00277596 | − | 0.00854354i | −0.949659 | − | 0.313286i | \(-0.898570\pi\) |
0.952435 | + | 0.304742i | \(0.0985703\pi\) | |||||||
\(422\) | 1.73345 | + | 5.33502i | 0.0843832 | + | 0.259705i | ||||
\(423\) | 22.1129 | − | 16.0660i | 1.07517 | − | 0.781154i | ||||
\(424\) | −1.81283 | + | 1.31710i | −0.0880389 | + | 0.0639640i | ||||
\(425\) | 3.00204 | + | 9.23933i | 0.145620 | + | 0.448174i | ||||
\(426\) | 1.06889 | − | 3.28970i | 0.0517878 | − | 0.159386i | ||||
\(427\) | 3.66826 | + | 2.66515i | 0.177520 | + | 0.128976i | ||||
\(428\) | −19.8776 | −0.960818 | ||||||||
\(429\) | −6.21303 | + | 8.04702i | −0.299968 | + | 0.388514i | ||||
\(430\) | 2.82510 | 0.136238 | ||||||||
\(431\) | −18.9486 | − | 13.7670i | −0.912723 | − | 0.663132i | 0.0289792 | − | 0.999580i | \(-0.490774\pi\) |
−0.941702 | + | 0.336448i | \(0.890774\pi\) | |||||||
\(432\) | 11.6540 | − | 35.8672i | 0.560701 | − | 1.72566i | ||||
\(433\) | −10.5213 | − | 32.3811i | −0.505620 | − | 1.55614i | −0.799726 | − | 0.600365i | \(-0.795022\pi\) |
0.294107 | − | 0.955773i | \(-0.404978\pi\) | |||||||
\(434\) | 3.20527 | − | 2.32876i | 0.153858 | − | 0.111784i | ||||
\(435\) | −17.5804 | + | 12.7729i | −0.842916 | + | 0.612414i | ||||
\(436\) | −10.2325 | − | 31.4924i | −0.490048 | − | 1.50821i | ||||
\(437\) | −7.35898 | + | 22.6486i | −0.352028 | + | 1.08343i | ||||
\(438\) | 1.74151 | + | 1.26528i | 0.0832128 | + | 0.0604576i | ||||
\(439\) | −20.9143 | −0.998184 | −0.499092 | − | 0.866549i | \(-0.666333\pi\) | ||||
−0.499092 | + | 0.866549i | \(0.666333\pi\) | |||||||
\(440\) | 3.42300 | + | 5.01255i | 0.163185 | + | 0.238964i | ||||
\(441\) | 21.1732 | 1.00825 | ||||||||
\(442\) | −1.23976 | − | 0.900736i | −0.0589692 | − | 0.0428437i | ||||
\(443\) | 5.72541 | − | 17.6210i | 0.272022 | − | 0.837199i | −0.717970 | − | 0.696074i | \(-0.754928\pi\) |
0.989992 | − | 0.141124i | \(-0.0450717\pi\) | |||||||
\(444\) | −2.83304 | − | 8.71921i | −0.134450 | − | 0.413795i | ||||
\(445\) | −1.38519 | + | 1.00640i | −0.0656643 | + | 0.0477079i | ||||
\(446\) | 0.350484 | − | 0.254641i | 0.0165959 | − | 0.0120576i | ||||
\(447\) | −0.611958 | − | 1.88341i | −0.0289446 | − | 0.0890823i | ||||
\(448\) | −6.46480 | + | 19.8966i | −0.305433 | + | 0.940027i | ||||
\(449\) | 5.10124 | + | 3.70627i | 0.240742 | + | 0.174910i | 0.701614 | − | 0.712557i | \(-0.252463\pi\) |
−0.460872 | + | 0.887467i | \(0.652463\pi\) | |||||||
\(450\) | 2.57611 | 0.121439 | ||||||||
\(451\) | −0.531904 | + | 18.2286i | −0.0250464 | + | 0.858349i | ||||
\(452\) | 14.8622 | 0.699059 | ||||||||
\(453\) | −11.5381 | − | 8.38290i | −0.542106 | − | 0.393863i | ||||
\(454\) | 1.87920 | − | 5.78360i | 0.0881954 | − | 0.271438i | ||||
\(455\) | 1.83017 | + | 5.63269i | 0.0857998 | + | 0.264065i | ||||
\(456\) | 8.35754 | − | 6.07211i | 0.391378 | − | 0.284353i | ||||
\(457\) | −31.1919 | + | 22.6622i | −1.45909 | + | 1.06009i | −0.475496 | + | 0.879718i | \(0.657731\pi\) |
−0.983598 | + | 0.180376i | \(0.942269\pi\) | |||||||
\(458\) | −0.296590 | − | 0.912810i | −0.0138587 | − | 0.0426528i | ||||
\(459\) | −19.5571 | + | 60.1905i | −0.912846 | + | 2.80945i | ||||
\(460\) | 20.2597 | + | 14.7195i | 0.944611 | + | 0.686300i | ||||
\(461\) | 19.3870 | 0.902941 | 0.451471 | − | 0.892286i | \(-0.350900\pi\) | ||||
0.451471 | + | 0.892286i | \(0.350900\pi\) | |||||||
\(462\) | 7.74799 | + | 2.76982i | 0.360469 | + | 0.128864i | ||||
\(463\) | −36.0570 | −1.67571 | −0.837855 | − | 0.545892i | \(-0.816191\pi\) | ||||
−0.837855 | + | 0.545892i | \(0.816191\pi\) | |||||||
\(464\) | −11.2651 | − | 8.18455i | −0.522968 | − | 0.379958i | ||||
\(465\) | 8.55256 | − | 26.3221i | 0.396616 | − | 1.22066i | ||||
\(466\) | 0.707223 | + | 2.17661i | 0.0327615 | + | 0.100829i | ||||
\(467\) | 16.3206 | − | 11.8576i | 0.755226 | − | 0.548704i | −0.142216 | − | 0.989836i | \(-0.545423\pi\) |
0.897442 | + | 0.441132i | \(0.145423\pi\) | |||||||
\(468\) | 10.0202 | − | 7.28012i | 0.463185 | − | 0.336524i | ||||
\(469\) | −15.5807 | − | 47.9525i | −0.719451 | − | 2.21424i | ||||
\(470\) | 0.613949 | − | 1.88954i | 0.0283194 | − | 0.0871581i | ||||
\(471\) | 17.3296 | + | 12.5907i | 0.798507 | + | 0.580149i | ||||
\(472\) | −2.38114 | −0.109601 | ||||||||
\(473\) | −19.3409 | + | 5.66617i | −0.889297 | + | 0.260531i | ||||
\(474\) | 6.85669 | 0.314938 | ||||||||
\(475\) | −4.39092 | − | 3.19019i | −0.201469 | − | 0.146376i | ||||
\(476\) | 11.6818 | − | 35.9528i | 0.535434 | − | 1.64790i | ||||
\(477\) | 4.46361 | + | 13.7376i | 0.204375 | + | 0.629000i | ||||
\(478\) | −2.08376 | + | 1.51394i | −0.0953088 | + | 0.0692459i | ||||
\(479\) | 4.53567 | − | 3.29536i | 0.207240 | − | 0.150569i | −0.479324 | − | 0.877638i | \(-0.659118\pi\) |
0.686564 | + | 0.727069i | \(0.259118\pi\) | |||||||
\(480\) | −5.06249 | − | 15.5807i | −0.231070 | − | 0.711160i | ||||
\(481\) | 0.477278 | − | 1.46891i | 0.0217620 | − | 0.0669765i | ||||
\(482\) | 3.67380 | + | 2.66917i | 0.167337 | + | 0.121578i | ||||
\(483\) | 69.0083 | 3.13999 | ||||||||
\(484\) | −16.4736 | − | 13.5040i | −0.748800 | − | 0.613820i | ||||
\(485\) | 19.7910 | 0.898665 | ||||||||
\(486\) | 1.58327 | + | 1.15031i | 0.0718184 | + | 0.0521791i | ||||
\(487\) | −7.55044 | + | 23.2379i | −0.342143 | + | 1.05301i | 0.620953 | + | 0.783848i | \(0.286746\pi\) |
−0.963096 | + | 0.269160i | \(0.913254\pi\) | |||||||
\(488\) | −0.432966 | − | 1.33253i | −0.0195995 | − | 0.0603209i | ||||
\(489\) | −22.5728 | + | 16.4001i | −1.02078 | + | 0.741639i | ||||
\(490\) | 1.24511 | − | 0.904624i | 0.0562483 | − | 0.0408667i | ||||
\(491\) | −3.40525 | − | 10.4803i | −0.153677 | − | 0.472968i | 0.844348 | − | 0.535796i | \(-0.179988\pi\) |
−0.998024 | + | 0.0628273i | \(0.979988\pi\) | |||||||
\(492\) | 10.0857 | − | 31.0405i | 0.454698 | − | 1.39942i | ||||
\(493\) | 18.9045 | + | 13.7349i | 0.851414 | + | 0.618589i | ||||
\(494\) | 0.856135 | 0.0385194 | ||||||||
\(495\) | 37.5490 | − | 11.0004i | 1.68770 | − | 0.494433i | ||||
\(496\) | 17.7345 | 0.796302 | ||||||||
\(497\) | 11.6298 | + | 8.44957i | 0.521669 | + | 0.379015i | ||||
\(498\) | −2.13617 | + | 6.57445i | −0.0957240 | + | 0.294608i | ||||
\(499\) | 7.14198 | + | 21.9808i | 0.319719 | + | 0.983994i | 0.973768 | + | 0.227542i | \(0.0730690\pi\) |
−0.654049 | + | 0.756452i | \(0.726931\pi\) | |||||||
\(500\) | −19.0655 | + | 13.8519i | −0.852633 | + | 0.619474i | ||||
\(501\) | −23.7303 | + | 17.2411i | −1.06019 | + | 0.770274i | ||||
\(502\) | −0.762241 | − | 2.34594i | −0.0340205 | − | 0.104704i | ||||
\(503\) | −6.18482 | + | 19.0349i | −0.275767 | + | 0.848725i | 0.713248 | + | 0.700912i | \(0.247223\pi\) |
−0.989015 | + | 0.147813i | \(0.952777\pi\) | |||||||
\(504\) | −16.4858 | − | 11.9777i | −0.734337 | − | 0.533527i | ||||
\(505\) | 20.9335 | 0.931531 | ||||||||
\(506\) | 5.51915 | + | 1.97303i | 0.245356 | + | 0.0877120i | ||||
\(507\) | 3.06529 | 0.136134 | ||||||||
\(508\) | 16.9481 | + | 12.3135i | 0.751952 | + | 0.546325i | ||||
\(509\) | 7.67235 | − | 23.6131i | 0.340071 | − | 1.04663i | −0.624099 | − | 0.781345i | \(-0.714534\pi\) |
0.964170 | − | 0.265286i | \(-0.0854662\pi\) | |||||||
\(510\) | 2.67735 | + | 8.24004i | 0.118555 | + | 0.364875i | ||||
\(511\) | −7.23757 | + | 5.25841i | −0.320171 | + | 0.232618i | ||||
\(512\) | 14.3089 | − | 10.3960i | 0.632371 | − | 0.459444i | ||||
\(513\) | −10.9262 | − | 33.6272i | −0.482401 | − | 1.48468i | ||||
\(514\) | 0.337655 | − | 1.03920i | 0.0148933 | − | 0.0458370i | ||||
\(515\) | −17.6537 | − | 12.8261i | −0.777914 | − | 0.565187i | ||||
\(516\) | 36.0698 | 1.58788 | ||||||||
\(517\) | −0.413400 | + | 14.1674i | −0.0181813 | + | 0.623081i | ||||
\(518\) | −1.25004 | −0.0549238 | ||||||||
\(519\) | 11.6771 | + | 8.48392i | 0.512568 | + | 0.372403i | ||||
\(520\) | 0.565537 | − | 1.74054i | 0.0248004 | − | 0.0763278i | ||||
\(521\) | 6.23865 | + | 19.2006i | 0.273320 | + | 0.841193i | 0.989659 | + | 0.143440i | \(0.0458165\pi\) |
−0.716339 | + | 0.697753i | \(0.754183\pi\) | |||||||
\(522\) | 5.01296 | − | 3.64213i | 0.219411 | − | 0.159412i | ||||
\(523\) | −7.54216 | + | 5.47970i | −0.329796 | + | 0.239611i | −0.740344 | − | 0.672228i | \(-0.765337\pi\) |
0.410548 | + | 0.911839i | \(0.365337\pi\) | |||||||
\(524\) | −0.480145 | − | 1.47773i | −0.0209752 | − | 0.0645551i | ||||
\(525\) | −4.86011 | + | 14.9579i | −0.212113 | + | 0.652816i | ||||
\(526\) | 2.19755 | + | 1.59661i | 0.0958178 | + | 0.0696157i | ||||
\(527\) | −29.7611 | −1.29641 | ||||||||
\(528\) | 20.7706 | + | 30.4159i | 0.903924 | + | 1.32368i | ||||
\(529\) | 26.1568 | 1.13725 | ||||||||
\(530\) | 0.849422 | + | 0.617141i | 0.0368965 | + | 0.0268069i | ||||
\(531\) | −4.74319 | + | 14.5980i | −0.205837 | + | 0.633501i | ||||
\(532\) | 6.52639 | + | 20.0862i | 0.282955 | + | 0.870845i | ||||
\(533\) | 4.44834 | − | 3.23191i | 0.192679 | − | 0.139990i | ||||
\(534\) | 0.580241 | − | 0.421570i | 0.0251095 | − | 0.0182431i | ||||
\(535\) | 5.85070 | + | 18.0066i | 0.252948 | + | 0.778493i | ||||
\(536\) | −4.81456 | + | 14.8177i | −0.207957 | + | 0.640026i | ||||
\(537\) | 5.89270 | + | 4.28130i | 0.254289 | + | 0.184752i | ||||
\(538\) | −2.44100 | −0.105239 | ||||||||
\(539\) | −6.70979 | + | 8.69042i | −0.289011 | + | 0.374323i | ||||
\(540\) | −37.1813 | −1.60003 | ||||||||
\(541\) | 6.35208 | + | 4.61506i | 0.273097 | + | 0.198417i | 0.715901 | − | 0.698202i | \(-0.246016\pi\) |
−0.442804 | + | 0.896619i | \(0.646016\pi\) | |||||||
\(542\) | −1.37564 | + | 4.23377i | −0.0590886 | + | 0.181856i | ||||
\(543\) | −10.4018 | − | 32.0135i | −0.446385 | − | 1.37383i | ||||
\(544\) | −14.2520 | + | 10.3547i | −0.611048 | + | 0.443952i | ||||
\(545\) | −25.5164 | + | 18.5387i | −1.09300 | + | 0.794113i | ||||
\(546\) | −0.766639 | − | 2.35947i | −0.0328091 | − | 0.100976i | ||||
\(547\) | 0.721488 | − | 2.22051i | 0.0308486 | − | 0.0949422i | −0.934447 | − | 0.356103i | \(-0.884105\pi\) |
0.965295 | + | 0.261161i | \(0.0841053\pi\) | |||||||
\(548\) | −15.8905 | − | 11.5451i | −0.678809 | − | 0.493184i | ||||
\(549\) | −9.03182 | −0.385469 | ||||||||
\(550\) | −0.816368 | + | 1.05735i | −0.0348100 | + | 0.0450854i | ||||
\(551\) | −13.0548 | −0.556153 | ||||||||
\(552\) | −17.2515 | − | 12.5340i | −0.734274 | − | 0.533481i | ||||
\(553\) | −8.80567 | + | 27.1011i | −0.374455 | + | 1.15246i | ||||
\(554\) | 0.423708 | + | 1.30404i | 0.0180016 | + | 0.0554033i | ||||
\(555\) | −7.06465 | + | 5.13277i | −0.299878 | + | 0.217874i | ||||
\(556\) | −31.0896 | + | 22.5879i | −1.31849 | + | 0.957940i | ||||
\(557\) | 11.8471 | + | 36.4616i | 0.501978 | + | 1.54493i | 0.805793 | + | 0.592198i | \(0.201740\pi\) |
−0.303815 | + | 0.952731i | \(0.598260\pi\) | |||||||
\(558\) | −2.43872 | + | 7.50559i | −0.103239 | + | 0.317737i | ||||
\(559\) | 4.91608 | + | 3.57174i | 0.207928 | + | 0.151069i | ||||
\(560\) | 21.4565 | 0.906702 | ||||||||
\(561\) | −34.8561 | − | 51.0424i | −1.47163 | − | 2.15501i | ||||
\(562\) | 7.10954 | 0.299898 | ||||||||
\(563\) | −26.3975 | − | 19.1789i | −1.11252 | − | 0.808294i | −0.129463 | − | 0.991584i | \(-0.541325\pi\) |
−0.983059 | + | 0.183290i | \(0.941325\pi\) | |||||||
\(564\) | 7.83868 | − | 24.1250i | 0.330068 | − | 1.01584i | ||||
\(565\) | −4.37449 | − | 13.4633i | −0.184036 | − | 0.566406i | ||||
\(566\) | −3.96803 | + | 2.88294i | −0.166789 | + | 0.121179i | ||||
\(567\) | −33.0458 | + | 24.0092i | −1.38779 | + | 1.00829i | ||||
\(568\) | −1.37267 | − | 4.22465i | −0.0575960 | − | 0.177262i | ||||
\(569\) | −2.26827 | + | 6.98103i | −0.0950909 | + | 0.292660i | −0.987277 | − | 0.159007i | \(-0.949171\pi\) |
0.892186 | + | 0.451667i | \(0.149171\pi\) | |||||||
\(570\) | −3.91601 | − | 2.84515i | −0.164024 | − | 0.119170i | ||||
\(571\) | 36.5717 | 1.53048 | 0.765239 | − | 0.643747i | \(-0.222621\pi\) | ||||
0.765239 | + | 0.643747i | \(0.222621\pi\) | |||||||
\(572\) | −0.187328 | + | 6.41980i | −0.00783257 | + | 0.268425i | ||||
\(573\) | −8.19837 | −0.342492 | ||||||||
\(574\) | −3.60027 | − | 2.61575i | −0.150272 | − | 0.109179i | ||||
\(575\) | −3.46202 | + | 10.6550i | −0.144376 | + | 0.444344i | ||||
\(576\) | −12.8774 | − | 39.6325i | −0.536558 | − | 1.65135i | ||||
\(577\) | 33.9736 | − | 24.6833i | 1.41434 | − | 1.02758i | 0.421668 | − | 0.906750i | \(-0.361445\pi\) |
0.992673 | − | 0.120829i | \(-0.0385551\pi\) | |||||||
\(578\) | 4.07069 | − | 2.95753i | 0.169318 | − | 0.123017i | ||||
\(579\) | −11.3175 | − | 34.8318i | −0.470340 | − | 1.44756i | ||||
\(580\) | −4.24221 | + | 13.0562i | −0.176148 | + | 0.542128i | ||||
\(581\) | −23.2422 | − | 16.8864i | −0.964248 | − | 0.700567i | ||||
\(582\) | −8.29025 | −0.343642 | ||||||||
\(583\) | −7.05301 | − | 2.52137i | −0.292106 | − | 0.104425i | ||||
\(584\) | 2.76442 | 0.114393 | ||||||||
\(585\) | −9.54420 | − | 6.93427i | −0.394604 | − | 0.286697i | ||||
\(586\) | −1.54626 | + | 4.75890i | −0.0638754 | + | 0.196588i | ||||
\(587\) | −0.424035 | − | 1.30505i | −0.0175018 | − | 0.0538650i | 0.941924 | − | 0.335826i | \(-0.109015\pi\) |
−0.959426 | + | 0.281961i | \(0.909015\pi\) | |||||||
\(588\) | 15.8971 | − | 11.5499i | 0.655585 | − | 0.476310i | ||||
\(589\) | 13.4515 | − | 9.77308i | 0.554259 | − | 0.402693i | ||||
\(590\) | 0.344773 | + | 1.06110i | 0.0141941 | + | 0.0436848i | ||||
\(591\) | 4.01914 | − | 12.3696i | 0.165325 | − | 0.508819i | ||||
\(592\) | −4.52684 | − | 3.28894i | −0.186052 | − | 0.135175i | ||||
\(593\) | 37.5996 | 1.54403 | 0.772015 | − | 0.635605i | \(-0.219249\pi\) | ||||
0.772015 | + | 0.635605i | \(0.219249\pi\) | |||||||
\(594\) | −8.35136 | + | 2.44664i | −0.342661 | + | 0.100387i | ||||
\(595\) | −36.0072 | −1.47615 | ||||||||
\(596\) | −1.01213 | − | 0.735353i | −0.0414583 | − | 0.0301212i | ||||
\(597\) | −16.9778 | + | 52.2522i | −0.694854 | + | 2.13854i | ||||
\(598\) | −0.546102 | − | 1.68073i | −0.0223318 | − | 0.0687301i | ||||
\(599\) | −9.36717 | + | 6.80565i | −0.382732 | + | 0.278071i | −0.762471 | − | 0.647023i | \(-0.776014\pi\) |
0.379739 | + | 0.925094i | \(0.376014\pi\) | |||||||
\(600\) | 3.93179 | − | 2.85661i | 0.160515 | − | 0.116621i | ||||
\(601\) | −0.608357 | − | 1.87233i | −0.0248154 | − | 0.0763740i | 0.937882 | − | 0.346955i | \(-0.112784\pi\) |
−0.962697 | + | 0.270581i | \(0.912784\pi\) | |||||||
\(602\) | 1.51978 | − | 4.67740i | 0.0619416 | − | 0.190637i | ||||
\(603\) | 81.2522 | + | 59.0332i | 3.30885 | + | 2.40402i | ||||
\(604\) | −9.00977 | −0.366602 | ||||||||
\(605\) | −7.38420 | + | 18.8978i | −0.300210 | + | 0.768303i | ||||
\(606\) | −8.76883 | −0.356210 | ||||||||
\(607\) | 25.5722 | + | 18.5793i | 1.03794 | + | 0.754109i | 0.969883 | − | 0.243572i | \(-0.0783192\pi\) |
0.0680596 | + | 0.997681i | \(0.478319\pi\) | |||||||
\(608\) | 3.04133 | − | 9.36024i | 0.123342 | − | 0.379608i | ||||
\(609\) | 11.6901 | + | 35.9785i | 0.473707 | + | 1.45792i | ||||
\(610\) | −0.531123 | + | 0.385883i | −0.0215045 | + | 0.0156240i | ||||
\(611\) | 3.45729 | − | 2.51187i | 0.139867 | − | 0.101619i | ||||
\(612\) | 23.2692 | + | 71.6153i | 0.940602 | + | 2.89488i | ||||
\(613\) | −4.71264 | + | 14.5040i | −0.190342 | + | 0.585812i | −0.999999 | − | 0.00109050i | \(-0.999653\pi\) |
0.809657 | + | 0.586903i | \(0.199653\pi\) | |||||||
\(614\) | −5.84066 | − | 4.24348i | −0.235710 | − | 0.171253i | ||||
\(615\) | −31.0874 | −1.25357 | ||||||||
\(616\) | 10.1405 | − | 2.97079i | 0.408572 | − | 0.119696i | ||||
\(617\) | 28.2471 | 1.13719 | 0.568593 | − | 0.822619i | \(-0.307488\pi\) | ||||
0.568593 | + | 0.822619i | \(0.307488\pi\) | |||||||
\(618\) | 7.39493 | + | 5.37273i | 0.297468 | + | 0.216123i | ||||
\(619\) | 0.516947 | − | 1.59100i | 0.0207779 | − | 0.0639477i | −0.940130 | − | 0.340816i | \(-0.889297\pi\) |
0.960908 | + | 0.276868i | \(0.0892966\pi\) | |||||||
\(620\) | −5.40299 | − | 16.6287i | −0.216989 | − | 0.667825i | ||||
\(621\) | −59.0461 | + | 42.8995i | −2.36944 | + | 1.72150i | ||||
\(622\) | −5.74659 | + | 4.17514i | −0.230417 | + | 0.167408i | ||||
\(623\) | 0.921084 | + | 2.83480i | 0.0369024 | + | 0.113574i | ||||
\(624\) | 3.43165 | − | 10.5615i | 0.137376 | − | 0.422800i | ||||
\(625\) | 11.6960 | + | 8.49764i | 0.467840 | + | 0.339906i | ||||
\(626\) | −0.437236 | −0.0174754 | ||||||||
\(627\) | 32.5159 | + | 11.6241i | 1.29856 | + | 0.464220i | ||||
\(628\) | 13.5322 | 0.539995 | ||||||||
\(629\) | 7.59672 | + | 5.51934i | 0.302901 | + | 0.220070i | ||||
\(630\) | −2.95054 | + | 9.08082i | −0.117552 | + | 0.361789i | ||||
\(631\) | −1.79204 | − | 5.51533i | −0.0713399 | − | 0.219562i | 0.909029 | − | 0.416732i | \(-0.136825\pi\) |
−0.980369 | + | 0.197171i | \(0.936825\pi\) | |||||||
\(632\) | 7.12372 | − | 5.17568i | 0.283366 | − | 0.205878i | ||||
\(633\) | 55.1900 | − | 40.0978i | 2.19360 | − | 1.59375i | ||||
\(634\) | −0.376590 | − | 1.15902i | −0.0149563 | − | 0.0460307i | ||||
\(635\) | 6.16607 | − | 18.9772i | 0.244693 | − | 0.753088i | ||||
\(636\) | 10.8451 | + | 7.87943i | 0.430036 | + | 0.312440i | ||||
\(637\) | 3.31038 | 0.131162 | ||||||||
\(638\) | −0.0937171 | + | 3.21172i | −0.00371030 | + | 0.127153i | ||||
\(639\) | −28.6344 | −1.13276 | ||||||||
\(640\) | −11.0982 | − | 8.06331i | −0.438695 | − | 0.318730i | ||||
\(641\) | 7.94639 | − | 24.4565i | 0.313863 | − | 0.965972i | −0.662356 | − | 0.749189i | \(-0.730444\pi\) |
0.976220 | − | 0.216783i | \(-0.0695565\pi\) | |||||||
\(642\) | −2.45079 | − | 7.54277i | −0.0967251 | − | 0.297689i | ||||
\(643\) | 5.00001 | − | 3.63272i | 0.197181 | − | 0.143261i | −0.484814 | − | 0.874617i | \(-0.661113\pi\) |
0.681995 | + | 0.731357i | \(0.261113\pi\) | |||||||
\(644\) | 35.2693 | − | 25.6247i | 1.38981 | − | 1.00975i | ||||
\(645\) | −10.6167 | − | 32.6747i | −0.418031 | − | 1.28657i | ||||
\(646\) | −1.60844 | + | 4.95026i | −0.0632831 | + | 0.194765i | ||||
\(647\) | −8.92601 | − | 6.48513i | −0.350918 | − | 0.254957i | 0.398336 | − | 0.917239i | \(-0.369588\pi\) |
−0.749254 | + | 0.662283i | \(0.769588\pi\) | |||||||
\(648\) | 12.6220 | 0.495838 | ||||||||
\(649\) | −4.48855 | − | 6.57292i | −0.176191 | − | 0.258010i | ||||
\(650\) | 0.402767 | 0.0157978 | ||||||||
\(651\) | −38.9795 | − | 28.3203i | −1.52773 | − | 1.10996i | ||||
\(652\) | −5.44690 | + | 16.7638i | −0.213317 | + | 0.656522i | ||||
\(653\) | −5.45584 | − | 16.7914i | −0.213504 | − | 0.657096i | −0.999256 | − | 0.0385558i | \(-0.987724\pi\) |
0.785753 | − | 0.618541i | \(-0.212276\pi\) | |||||||
\(654\) | 10.6885 | − | 7.76568i | 0.417955 | − | 0.303662i | ||||
\(655\) | −1.19732 | + | 0.869903i | −0.0467831 | + | 0.0339899i | ||||
\(656\) | −6.15562 | − | 18.9451i | −0.240337 | − | 0.739681i | ||||
\(657\) | 5.50668 | − | 16.9478i | 0.214836 | − | 0.661198i | ||||
\(658\) | −2.79816 | − | 2.03298i | −0.109084 | − | 0.0792539i | ||||
\(659\) | 29.1242 | 1.13452 | 0.567260 | − | 0.823539i | \(-0.308004\pi\) | ||||
0.567260 | + | 0.823539i | \(0.308004\pi\) | |||||||
\(660\) | 22.1915 | − | 28.7420i | 0.863801 | − | 1.11878i | ||||
\(661\) | −22.3098 | −0.867752 | −0.433876 | − | 0.900973i | \(-0.642854\pi\) | ||||
−0.433876 | + | 0.900973i | \(0.642854\pi\) | |||||||
\(662\) | −0.144460 | − | 0.104957i | −0.00561462 | − | 0.00407926i | ||||
\(663\) | −5.75882 | + | 17.7238i | −0.223654 | + | 0.688337i | ||||
\(664\) | 2.74328 | + | 8.44295i | 0.106460 | + | 0.327650i | ||||
\(665\) | 16.2746 | − | 11.8242i | 0.631102 | − | 0.458522i | ||||
\(666\) | 2.01445 | − | 1.46358i | 0.0780582 | − | 0.0567126i | ||||
\(667\) | 8.32725 | + | 25.6286i | 0.322432 | + | 0.992345i | ||||
\(668\) | −5.72619 | + | 17.6234i | −0.221553 | + | 0.681870i | ||||
\(669\) | −4.26226 | − | 3.09671i | −0.164789 | − | 0.119726i | ||||
\(670\) | 7.30028 | 0.282034 | ||||||||
\(671\) | 2.86218 | − | 3.70705i | 0.110493 | − | 0.143109i | ||||
\(672\) | −28.5198 | −1.10018 | ||||||||
\(673\) | −10.8549 | − | 7.88655i | −0.418426 | − | 0.304004i | 0.358578 | − | 0.933500i | \(-0.383262\pi\) |
−0.777004 | + | 0.629496i | \(0.783262\pi\) | |||||||
\(674\) | −0.322336 | + | 0.992048i | −0.0124159 | + | 0.0382123i | ||||
\(675\) | −5.14019 | − | 15.8199i | −0.197846 | − | 0.608907i | ||||
\(676\) | 1.56663 | − | 1.13823i | 0.0602552 | − | 0.0437780i | ||||
\(677\) | 30.1453 | − | 21.9018i | 1.15858 | − | 0.841756i | 0.168981 | − | 0.985619i | \(-0.445952\pi\) |
0.989598 | + | 0.143863i | \(0.0459524\pi\) | |||||||
\(678\) | 1.83243 | + | 5.63963i | 0.0703740 | + | 0.216589i | ||||
\(679\) | 10.6467 | − | 32.7672i | 0.408584 | − | 1.25749i | ||||
\(680\) | 9.00151 | + | 6.53998i | 0.345192 | + | 0.250797i | ||||
\(681\) | −73.9544 | −2.83394 | ||||||||
\(682\) | −2.30779 | − | 3.37947i | −0.0883700 | − | 0.129407i | ||||
\(683\) | 28.2710 | 1.08176 | 0.540881 | − | 0.841099i | \(-0.318091\pi\) | ||||
0.540881 | + | 0.841099i | \(0.318091\pi\) | |||||||
\(684\) | −34.0346 | − | 24.7276i | −1.30134 | − | 0.945482i | ||||
\(685\) | −5.78129 | + | 17.7930i | −0.220892 | + | 0.679835i | ||||
\(686\) | 0.922786 | + | 2.84004i | 0.0352321 | + | 0.108433i | ||||
\(687\) | −9.44287 | + | 6.86065i | −0.360268 | + | 0.261750i | ||||
\(688\) | 17.8102 | − | 12.9398i | 0.679006 | − | 0.493327i | ||||
\(689\) | 0.697873 | + | 2.14783i | 0.0265868 | + | 0.0818259i | ||||
\(690\) | −3.08758 | + | 9.50259i | −0.117542 | + | 0.361757i | ||||
\(691\) | 15.0930 | + | 10.9657i | 0.574164 | + | 0.417155i | 0.836616 | − | 0.547790i | \(-0.184531\pi\) |
−0.262451 | + | 0.964945i | \(0.584531\pi\) | |||||||
\(692\) | 9.11834 | 0.346627 | ||||||||
\(693\) | 1.98673 | − | 68.0861i | 0.0754697 | − | 2.58638i | ||||
\(694\) | 0.866763 | 0.0329019 | ||||||||
\(695\) | 29.6126 | + | 21.5148i | 1.12327 | + | 0.816104i | ||||
\(696\) | 3.61233 | − | 11.1176i | 0.136925 | − | 0.421412i | ||||
\(697\) | 10.3301 | + | 31.7926i | 0.391279 | + | 1.20423i | ||||
\(698\) | 1.91398 | − | 1.39058i | 0.0724450 | − | 0.0526344i | ||||
\(699\) | 22.5167 | − | 16.3593i | 0.851658 | − | 0.618766i | ||||
\(700\) | 3.07033 | + | 9.44950i | 0.116047 | + | 0.357157i | ||||
\(701\) | 9.81840 | − | 30.2179i | 0.370836 | − | 1.14131i | −0.575410 | − | 0.817865i | \(-0.695157\pi\) |
0.946245 | − | 0.323450i | \(-0.104843\pi\) | |||||||
\(702\) | 2.12275 | + | 1.54227i | 0.0801181 | + | 0.0582092i | ||||
\(703\) | −5.24604 | −0.197858 | ||||||||
\(704\) | 20.3477 | + | 7.27409i | 0.766884 | + | 0.274153i | ||||
\(705\) | −24.1614 | −0.909972 | ||||||||
\(706\) | 1.26951 | + | 0.922355i | 0.0477787 | + | 0.0347133i | ||||
\(707\) | 11.2613 | − | 34.6588i | 0.423526 | − | 1.30348i | ||||
\(708\) | 4.40193 | + | 13.5477i | 0.165435 | + | 0.509155i | ||||
\(709\) | −32.2946 | + | 23.4634i | −1.21285 | + | 0.881187i | −0.995486 | − | 0.0949035i | \(-0.969746\pi\) |
−0.217364 | + | 0.976091i | \(0.569746\pi\) | |||||||
\(710\) | −1.68387 | + | 1.22340i | −0.0631944 | + | 0.0459134i | ||||
\(711\) | −17.5402 | − | 53.9832i | −0.657810 | − | 2.02453i | ||||
\(712\) | 0.284622 | − | 0.875975i | 0.0106666 | − | 0.0328286i | ||||
\(713\) | −27.7664 | − | 20.1735i | −1.03986 | − | 0.755502i | ||||
\(714\) | 15.0830 | 0.564468 | ||||||||
\(715\) | 5.87068 | − | 1.71989i | 0.219551 | − | 0.0643202i | ||||
\(716\) | 4.60145 | 0.171964 | ||||||||
\(717\) | 25.3408 | + | 18.4111i | 0.946368 | + | 0.687576i | ||||
\(718\) | −2.38128 | + | 7.32883i | −0.0888686 | + | 0.273510i | ||||
\(719\) | 14.6619 | + | 45.1247i | 0.546796 | + | 1.68287i | 0.716681 | + | 0.697402i | \(0.245661\pi\) |
−0.169884 | + | 0.985464i | \(0.554339\pi\) | |||||||
\(720\) | −34.5771 | + | 25.1217i | −1.28861 | + | 0.936232i | ||||
\(721\) | −30.7327 | + | 22.3286i | −1.14454 | + | 0.831560i | ||||
\(722\) | 0.581307 | + | 1.78908i | 0.0216340 | + | 0.0665827i | ||||
\(723\) | 17.0653 | − | 52.5215i | 0.634664 | − | 1.95330i | ||||
\(724\) | −17.2037 | − | 12.4992i | −0.639372 | − | 0.464531i | ||||
\(725\) | −6.14161 | −0.228094 | ||||||||
\(726\) | 3.09316 | − | 7.91607i | 0.114798 | − | 0.293793i | ||||
\(727\) | 32.5058 | 1.20557 | 0.602786 | − | 0.797903i | \(-0.294057\pi\) | ||||
0.602786 | + | 0.797903i | \(0.294057\pi\) | |||||||
\(728\) | −2.57751 | − | 1.87267i | −0.0955290 | − | 0.0694059i | ||||
\(729\) | −4.43855 | + | 13.6604i | −0.164391 | + | 0.505942i | ||||
\(730\) | −0.400269 | − | 1.23190i | −0.0148146 | − | 0.0455947i | ||||
\(731\) | −29.8881 | + | 21.7150i | −1.10545 | + | 0.803158i | ||||
\(732\) | −6.78118 | + | 4.92681i | −0.250640 | + | 0.182100i | ||||
\(733\) | 3.73487 | + | 11.4947i | 0.137950 | + | 0.424568i | 0.996037 | − | 0.0889369i | \(-0.0283469\pi\) |
−0.858087 | + | 0.513505i | \(0.828347\pi\) | |||||||
\(734\) | 2.56607 | − | 7.89757i | 0.0947156 | − | 0.291504i | ||||
\(735\) | −15.1419 | − | 11.0012i | −0.558516 | − | 0.405786i | ||||
\(736\) | −20.3156 | −0.748843 | ||||||||
\(737\) | −49.9786 | + | 14.6418i | −1.84098 | + | 0.539339i | ||||
\(738\) | 8.86441 | 0.326304 | ||||||||
\(739\) | −7.25046 | − | 5.26777i | −0.266712 | − | 0.193778i | 0.446389 | − | 0.894839i | \(-0.352710\pi\) |
−0.713101 | + | 0.701061i | \(0.752710\pi\) | |||||||
\(740\) | −1.70472 | + | 5.24660i | −0.0626668 | + | 0.192869i | ||||
\(741\) | −3.21734 | − | 9.90196i | −0.118192 | − | 0.363758i | ||||
\(742\) | 1.47873 | − | 1.07436i | 0.0542858 | − | 0.0394410i | ||||
\(743\) | −27.2485 | + | 19.7972i | −0.999651 | + | 0.726289i | −0.962013 | − | 0.273002i | \(-0.911983\pi\) |
−0.0376379 | + | 0.999291i | \(0.511983\pi\) | |||||||
\(744\) | 4.60076 | + | 14.1597i | 0.168672 | + | 0.519120i | ||||
\(745\) | −0.368232 | + | 1.13330i | −0.0134910 | + | 0.0415210i | ||||
\(746\) | −4.41932 | − | 3.21082i | −0.161803 | − | 0.117557i | ||||
\(747\) | 57.2257 | 2.09378 | ||||||||
\(748\) | −36.7680 | − | 13.1442i | −1.34437 | − | 0.480598i | ||||
\(749\) | 32.9602 | 1.20434 | ||||||||
\(750\) | −7.60691 | − | 5.52674i | −0.277765 | − | 0.201808i | ||||
\(751\) | 8.65591 | − | 26.6402i | 0.315859 | − | 0.972113i | −0.659541 | − | 0.751669i | \(-0.729249\pi\) |
0.975400 | − | 0.220444i | \(-0.0707508\pi\) | |||||||
\(752\) | −4.78420 | − | 14.7243i | −0.174462 | − | 0.536939i | ||||
\(753\) | −24.2683 | + | 17.6320i | −0.884388 | + | 0.642545i | ||||
\(754\) | 0.783762 | − | 0.569437i | 0.0285429 | − | 0.0207377i | ||||
\(755\) | 2.65191 | + | 8.16173i | 0.0965128 | + | 0.297036i | ||||
\(756\) | −20.0019 | + | 61.5596i | −0.727463 | + | 2.23890i | ||||
\(757\) | 9.60309 | + | 6.97705i | 0.349030 | + | 0.253585i | 0.748462 | − | 0.663178i | \(-0.230793\pi\) |
−0.399432 | + | 0.916763i | \(0.630793\pi\) | |||||||
\(758\) | −1.60409 | −0.0582633 | ||||||||
\(759\) | 2.07901 | − | 71.2484i | 0.0754632 | − | 2.58615i | ||||
\(760\) | −6.21615 | −0.225483 | ||||||||
\(761\) | 11.0413 | + | 8.02200i | 0.400248 | + | 0.290797i | 0.769642 | − | 0.638476i | \(-0.220435\pi\) |
−0.369394 | + | 0.929273i | \(0.620435\pi\) | |||||||
\(762\) | −2.58290 | + | 7.94935i | −0.0935687 | + | 0.287975i | ||||
\(763\) | 16.9672 | + | 52.2195i | 0.614252 | + | 1.89047i | ||||
\(764\) | −4.19009 | + | 3.04428i | −0.151592 | + | 0.110138i | ||||
\(765\) | 58.0255 | − | 42.1580i | 2.09792 | − | 1.52423i | ||||
\(766\) | −2.74876 | − | 8.45982i | −0.0993168 | − | 0.305666i | ||||
\(767\) | −0.741585 | + | 2.28236i | −0.0267771 | + | 0.0824114i | ||||
\(768\) | −27.6654 | − | 20.1001i | −0.998290 | − | 0.725300i | ||||
\(769\) | −34.5268 | −1.24507 | −0.622535 | − | 0.782592i | \(-0.713897\pi\) | ||||
−0.622535 | + | 0.782592i | \(0.713897\pi\) | |||||||
\(770\) | −2.79214 | − | 4.08874i | −0.100622 | − | 0.147348i | ||||
\(771\) | −13.2881 | −0.478560 | ||||||||
\(772\) | −18.7182 | − | 13.5996i | −0.673684 | − | 0.489460i | ||||
\(773\) | 6.67846 | − | 20.5542i | 0.240208 | − | 0.739283i | −0.756180 | − | 0.654364i | \(-0.772937\pi\) |
0.996388 | − | 0.0849197i | \(-0.0270634\pi\) | |||||||
\(774\) | 3.02728 | + | 9.31702i | 0.108813 | + | 0.334893i | ||||
\(775\) | 6.32823 | − | 4.59773i | 0.227317 | − | 0.165155i | ||||
\(776\) | −8.61311 | + | 6.25779i | −0.309193 | + | 0.224642i | ||||
\(777\) | 4.69765 | + | 14.4579i | 0.168527 | + | 0.518673i | ||||
\(778\) | 2.58063 | − | 7.94237i | 0.0925202 | − | 0.284748i | ||||
\(779\) | −15.1092 | − | 10.9775i | −0.541343 | − | 0.393309i | ||||
\(780\) | −10.9485 | −0.392019 | ||||||||
\(781\) | 9.07423 | − | 11.7528i | 0.324701 | − | 0.420548i | ||||
\(782\) | 10.7441 | 0.384209 | ||||||||
\(783\) | −32.3688 | − | 23.5173i | −1.15677 | − | 0.840440i | ||||
\(784\) | 3.70603 | − | 11.4060i | 0.132358 | − | 0.407357i | ||||
\(785\) | −3.98304 | − | 12.2585i | −0.142161 | − | 0.437526i | ||||
\(786\) | 0.501544 | − | 0.364393i | 0.0178895 | − | 0.0129975i | ||||
\(787\) | −11.9429 | + | 8.67705i | −0.425720 | + | 0.309303i | −0.779935 | − | 0.625860i | \(-0.784748\pi\) |
0.354215 | + | 0.935164i | \(0.384748\pi\) | |||||||
\(788\) | −2.53905 | − | 7.81439i | −0.0904498 | − | 0.278376i | ||||
\(789\) | 10.2079 | − | 31.4167i | 0.363411 | − | 1.11846i | ||||
\(790\) | −3.33789 | − | 2.42512i | −0.118757 | − | 0.0862819i | ||||
\(791\) | −24.6440 | −0.876238 | ||||||||
\(792\) | −12.8631 | + | 16.6601i | −0.457072 | + | 0.591992i | ||||
\(793\) | −1.41210 | −0.0501451 | ||||||||
\(794\) | −2.09115 | − | 1.51931i | −0.0742121 | − | 0.0539182i | ||||
\(795\) | 3.94567 | − | 12.1435i | 0.139938 | − | 0.430686i | ||||
\(796\) | 10.7255 | + | 33.0098i | 0.380156 | + | 1.17000i | ||||
\(797\) | −32.3585 | + | 23.5098i | −1.14620 | + | 0.832761i | −0.987971 | − | 0.154642i | \(-0.950578\pi\) |
−0.158227 | + | 0.987403i | \(0.550578\pi\) | |||||||
\(798\) | −6.81725 | + | 4.95302i | −0.241328 | + | 0.175335i | ||||
\(799\) | 8.02861 | + | 24.7095i | 0.284032 | + | 0.874160i | ||||
\(800\) | 1.43079 | − | 4.40351i | 0.0505859 | − | 0.155688i | ||||
\(801\) | −4.80338 | − | 3.48986i | −0.169719 | − | 0.123308i | ||||
\(802\) | 5.62522 | 0.198633 | ||||||||
\(803\) | 5.21106 | + | 7.63094i | 0.183894 | + | 0.269290i | ||||
\(804\) | 93.2073 | 3.28717 | ||||||||
\(805\) | −33.5938 | − | 24.4073i | −1.18403 | − | 0.860245i | ||||
\(806\) | −0.381287 | + | 1.17348i | −0.0134302 | + | 0.0413340i | ||||
\(807\) | 9.17323 | + | 28.2323i | 0.322913 | + | 0.993824i | ||||
\(808\) | −9.11033 | + | 6.61904i | −0.320500 | + | 0.232857i | ||||
\(809\) | −24.6279 | + | 17.8932i | −0.865872 | + | 0.629093i | −0.929476 | − | 0.368882i | \(-0.879740\pi\) |
0.0636041 | + | 0.997975i | \(0.479740\pi\) | |||||||
\(810\) | −1.82757 | − | 5.62470i | −0.0642144 | − | 0.197632i | ||||
\(811\) | −12.9581 | + | 39.8811i | −0.455022 | + | 1.40041i | 0.416087 | + | 0.909325i | \(0.363401\pi\) |
−0.871109 | + | 0.491089i | \(0.836599\pi\) | |||||||
\(812\) | 19.3345 | + | 14.0473i | 0.678507 | + | 0.492964i | ||||
\(813\) | 54.1369 | 1.89866 | ||||||||
\(814\) | −0.0376600 | + | 1.29062i | −0.00131998 | + | 0.0452364i | ||||
\(815\) | 16.7892 | 0.588098 | ||||||||
\(816\) | 54.6208 | + | 39.6843i | 1.91211 | + | 1.38923i | ||||
\(817\) | 6.37803 | − | 19.6296i | 0.223139 | − | 0.686752i | ||||
\(818\) | −2.16187 | − | 6.65356i | −0.0755881 | − | 0.232636i | ||||
\(819\) | −16.6152 | + | 12.0716i | −0.580581 | + | 0.421817i | ||||
\(820\) | −15.8884 | + | 11.5436i | −0.554848 | + | 0.403121i | ||||
\(821\) | −0.266405 | − | 0.819912i | −0.00929762 | − | 0.0286151i | 0.946300 | − | 0.323290i | \(-0.104789\pi\) |
−0.955598 | + | 0.294674i | \(0.904789\pi\) | |||||||
\(822\) | 2.42172 | − | 7.45329i | 0.0844672 | − | 0.259963i | ||||
\(823\) | 26.4028 | + | 19.1828i | 0.920344 | + | 0.668669i | 0.943610 | − | 0.331061i | \(-0.107406\pi\) |
−0.0232659 | + | 0.999729i | \(0.507406\pi\) | |||||||
\(824\) | 11.7385 | 0.408929 | ||||||||
\(825\) | 15.2970 | + | 5.46852i | 0.532575 | + | 0.190389i | ||||
\(826\) | 1.94230 | 0.0675811 | ||||||||
\(827\) | 1.11516 | + | 0.810215i | 0.0387781 | + | 0.0281739i | 0.607005 | − | 0.794698i | \(-0.292371\pi\) |
−0.568227 | + | 0.822872i | \(0.692371\pi\) | |||||||
\(828\) | −26.8345 | + | 82.5882i | −0.932565 | + | 2.87014i | ||||
\(829\) | 5.58973 | + | 17.2034i | 0.194139 | + | 0.597499i | 0.999986 | + | 0.00537442i | \(0.00171074\pi\) |
−0.805846 | + | 0.592125i | \(0.798289\pi\) | |||||||
\(830\) | 3.36520 | − | 2.44496i | 0.116808 | − | 0.0848659i | ||||
\(831\) | 13.4901 | − | 9.80112i | 0.467966 | − | 0.339997i | ||||
\(832\) | −2.01334 | − | 6.19644i | −0.0698001 | − | 0.214823i | ||||
\(833\) | −6.21927 | + | 19.1410i | −0.215485 | + | 0.663195i | ||||
\(834\) | −12.4044 | − | 9.01232i | −0.429529 | − | 0.312071i | ||||
\(835\) | 17.6500 | 0.610805 | ||||||||
\(836\) | 20.9348 | − | 6.13311i | 0.724046 | − | 0.212118i | ||||
\(837\) | 50.9579 | 1.76136 | ||||||||
\(838\) | 7.32912 | + | 5.32492i | 0.253180 | + | 0.183946i | ||||
\(839\) | 10.7474 | − | 33.0772i | 0.371042 | − | 1.14195i | −0.575068 | − | 0.818106i | \(-0.695024\pi\) |
0.946110 | − | 0.323845i | \(-0.104976\pi\) | |||||||
\(840\) | 5.56634 | + | 17.1314i | 0.192057 | + | 0.591091i | ||||
\(841\) | 11.5103 | − | 8.36271i | 0.396906 | − | 0.288369i | ||||
\(842\) | 0.0375863 | − | 0.0273081i | 0.00129531 | − | 0.000941098i | ||||
\(843\) | −26.7175 | − | 82.2281i | −0.920201 | − | 2.83209i | ||||
\(844\) | 13.3175 | − | 40.9871i | 0.458407 | − | 1.41083i | ||||
\(845\) | −1.49221 | − | 1.08415i | −0.0513336 | − | 0.0372960i | ||||
\(846\) | 6.88950 | 0.236866 | ||||||||
\(847\) | 27.3159 | + | 22.3919i | 0.938586 | + | 0.769395i | ||||
\(848\) | 8.18169 | 0.280960 | ||||||||
\(849\) | 48.2556 | + | 35.0597i | 1.65613 | + | 1.20325i | ||||
\(850\) | −0.756687 | + | 2.32884i | −0.0259541 | + | 0.0798786i | ||||
\(851\) | 3.34629 | + | 10.2988i | 0.114709 | + | 0.353039i | ||||
\(852\) | −21.4990 | + | 15.6199i | −0.736543 | + | 0.535130i | ||||
\(853\) | 4.59667 | − | 3.33968i | 0.157387 | − | 0.114348i | −0.506304 | − | 0.862355i | \(-0.668989\pi\) |
0.663691 | + | 0.748006i | \(0.268989\pi\) | |||||||
\(854\) | 0.353171 | + | 1.08695i | 0.0120853 | + | 0.0371946i | ||||
\(855\) | −12.3825 | + | 38.1093i | −0.423472 | + | 1.30331i | ||||
\(856\) | −8.23980 | − | 5.98657i | −0.281631 | − | 0.204617i | ||||
\(857\) | −56.3706 | −1.92558 | −0.962792 | − | 0.270244i | \(-0.912896\pi\) | ||||
−0.962792 | + | 0.270244i | \(0.912896\pi\) | |||||||
\(858\) | −2.45916 | + | 0.720442i | −0.0839545 | + | 0.0245955i | ||||
\(859\) | −21.8633 | −0.745966 | −0.372983 | − | 0.927838i | \(-0.621665\pi\) | ||||
−0.372983 | + | 0.927838i | \(0.621665\pi\) | |||||||
\(860\) | −17.5591 | − | 12.7574i | −0.598759 | − | 0.435024i | ||||
\(861\) | −16.7237 | + | 51.4703i | −0.569942 | + | 1.75410i | ||||
\(862\) | −1.82432 | − | 5.61469i | −0.0621367 | − | 0.191237i | ||||
\(863\) | −0.781041 | + | 0.567459i | −0.0265869 | + | 0.0193165i | −0.600999 | − | 0.799249i | \(-0.705231\pi\) |
0.574412 | + | 0.818566i | \(0.305231\pi\) | |||||||
\(864\) | 24.4027 | − | 17.7296i | 0.830195 | − | 0.603172i | ||||
\(865\) | −2.68386 | − | 8.26008i | −0.0912541 | − | 0.280851i | ||||
\(866\) | 2.65196 | − | 8.16190i | 0.0901173 | − | 0.277353i | ||||
\(867\) | −49.5040 | − | 35.9667i | −1.68124 | − | 1.22149i | ||||
\(868\) | −30.4381 | −1.03314 | ||||||||
\(869\) | 27.7156 | + | 9.90800i | 0.940186 | + | 0.336106i | ||||
\(870\) | −5.47735 | −0.185700 | ||||||||
\(871\) | 12.7036 | + | 9.22968i | 0.430444 | + | 0.312736i | ||||
\(872\) | 5.24298 | − | 16.1362i | 0.177550 | − | 0.546441i | ||||
\(873\) | 21.2074 | + | 65.2698i | 0.717763 | + | 2.20905i | ||||
\(874\) | −4.85615 | + | 3.52820i | −0.164262 | + | 0.119343i | ||||
\(875\) | 31.6136 | − | 22.9686i | 1.06874 | − | 0.776482i | ||||
\(876\) | −5.11049 | − | 15.7285i | −0.172667 | − | 0.531416i | ||||
\(877\) | 12.6517 | − | 38.9381i | 0.427219 | − | 1.31484i | −0.473634 | − | 0.880722i | \(-0.657058\pi\) |
0.900853 | − | 0.434123i | \(-0.142942\pi\) | |||||||
\(878\) | −4.26481 | − | 3.09857i | −0.143931 | − | 0.104572i | ||||
\(879\) | 60.8517 | 2.05248 | ||||||||
\(880\) | 0.646418 | − | 22.1530i | 0.0217908 | − | 0.746778i | ||||
\(881\) | 22.1828 | 0.747359 | 0.373680 | − | 0.927558i | \(-0.378096\pi\) | ||||
0.373680 | + | 0.927558i | \(0.378096\pi\) | |||||||
\(882\) | 4.31762 | + | 3.13694i | 0.145382 | + | 0.105626i | ||||
\(883\) | 11.2957 | − | 34.7646i | 0.380131 | − | 1.16992i | −0.559820 | − | 0.828614i | \(-0.689130\pi\) |
0.939951 | − | 0.341309i | \(-0.110870\pi\) | |||||||
\(884\) | 3.63808 | + | 11.1969i | 0.122362 | + | 0.376591i | ||||
\(885\) | 10.9769 | − | 7.97520i | 0.368985 | − | 0.268083i | ||||
\(886\) | 3.77817 | − | 2.74500i | 0.126930 | − | 0.0922200i | ||||
\(887\) | −9.33350 | − | 28.7255i | −0.313388 | − | 0.964510i | −0.976413 | − | 0.215912i | \(-0.930728\pi\) |
0.663025 | − | 0.748598i | \(-0.269272\pi\) | |||||||
\(888\) | 1.45161 | − | 4.46759i | 0.0487128 | − | 0.149922i | ||||
\(889\) | −28.1028 | − | 20.4179i | −0.942537 | − | 0.684793i | ||||
\(890\) | −0.431570 | −0.0144663 | ||||||||
\(891\) | 23.7930 | + | 34.8418i | 0.797095 | + | 1.16725i | ||||
\(892\) | −3.32829 | −0.111439 | ||||||||
\(893\) | −11.7430 | − | 8.53179i | −0.392964 | − | 0.285505i | ||||
\(894\) | 0.154248 | − | 0.474728i | 0.00515884 | − | 0.0158773i | ||||
\(895\) | −1.35438 | − | 4.16834i | −0.0452718 | − | 0.139332i | ||||
\(896\) | −19.3205 | + | 14.0371i | −0.645451 | + | 0.468948i | ||||
\(897\) | −17.3869 | + | 12.6323i | −0.580531 | + | 0.421780i | ||||
\(898\) | 0.491134 | + | 1.51155i | 0.0163893 | + | 0.0504412i | ||||
\(899\) | 5.81406 | − | 17.8938i | 0.193910 | − | 0.596792i | ||||
\(900\) | −16.0115 | − | 11.6330i | −0.533717 | − | 0.387768i | ||||
\(901\) | −13.7301 | −0.457416 | ||||||||
\(902\) | −2.80913 | + | 3.63834i | −0.0935337 | + | 0.121143i | ||||
\(903\) | −59.8096 | −1.99034 | ||||||||
\(904\) | 6.16080 | + | 4.47608i | 0.204905 | + | 0.148872i | ||||
\(905\) | −6.25907 | + | 19.2634i | −0.208058 | + | 0.640338i | ||||
\(906\) | −1.11086 | − | 3.41886i | −0.0369057 | − | 0.113584i | ||||
\(907\) | −5.87254 | + | 4.26665i | −0.194994 | + | 0.141672i | −0.680999 | − | 0.732285i | \(-0.738454\pi\) |
0.486004 | + | 0.873957i | \(0.338454\pi\) | |||||||
\(908\) | −37.7972 | + | 27.4613i | −1.25434 | + | 0.911335i | ||||
\(909\) | 22.4317 | + | 69.0377i | 0.744013 | + | 2.28984i | ||||
\(910\) | −0.461308 | + | 1.41976i | −0.0152922 | + | 0.0470646i | ||||
\(911\) | −5.89659 | − | 4.28413i | −0.195363 | − | 0.141939i | 0.485804 | − | 0.874068i | \(-0.338527\pi\) |
−0.681166 | + | 0.732129i | \(0.738527\pi\) | |||||||
\(912\) | −37.7193 | −1.24901 | ||||||||
\(913\) | −18.1348 | + | 23.4879i | −0.600175 | + | 0.777337i | ||||
\(914\) | −9.71814 | −0.321447 | ||||||||
\(915\) | 6.45903 | + | 4.69276i | 0.213529 | + | 0.155138i | ||||
\(916\) | −2.27859 | + | 7.01279i | −0.0752869 | + | 0.231709i | ||||
\(917\) | 0.796159 | + | 2.45033i | 0.0262915 | + | 0.0809169i | ||||
\(918\) | −12.9056 | + | 9.37647i | −0.425949 | + | 0.309470i | ||||
\(919\) | −9.28436 | + | 6.74548i | −0.306263 | + | 0.222513i | −0.730291 | − | 0.683136i | \(-0.760616\pi\) |
0.424028 | + | 0.905649i | \(0.360616\pi\) | |||||||
\(920\) | 3.96509 | + | 12.2033i | 0.130725 | + | 0.402330i | ||||
\(921\) | −27.1306 | + | 83.4993i | −0.893982 | + | 2.75139i | ||||
\(922\) | 3.95337 | + | 2.87229i | 0.130197 | + | 0.0945938i | ||||
\(923\) | −4.47691 | −0.147359 | ||||||||
\(924\) | −35.6490 | − | 52.2035i | −1.17277 | − | 1.71737i | ||||
\(925\) | −2.46799 | −0.0811471 | ||||||||
\(926\) | −7.35270 | − | 5.34205i | −0.241625 | − | 0.175551i | ||||
\(927\) | 23.3828 | − | 71.9650i | 0.767993 | − | 2.36364i | ||||
\(928\) | −3.44150 | − | 10.5918i | −0.112973 | − | 0.347694i | ||||
\(929\) | −31.3665 | + | 22.7891i | −1.02910 | + | 0.747686i | −0.968129 | − | 0.250454i | \(-0.919420\pi\) |
−0.0609724 | + | 0.998139i | \(0.519420\pi\) | |||||||
\(930\) | 5.64379 | − | 4.10045i | 0.185067 | − | 0.134459i | ||||
\(931\) | −3.47459 | − | 10.6937i | −0.113875 | − | 0.350471i | ||||
\(932\) | 5.43334 | − | 16.7221i | 0.177975 | − | 0.547751i | ||||
\(933\) | 69.8848 | + | 50.7743i | 2.28793 | + | 1.66228i | ||||
\(934\) | 5.08484 | 0.166381 | ||||||||
\(935\) | −1.08479 | + | 37.1761i | −0.0354763 | + | 1.21579i | ||||
\(936\) | 6.34623 | 0.207433 | ||||||||
\(937\) | 18.5124 | + | 13.4501i | 0.604774 | + | 0.439394i | 0.847570 | − | 0.530683i | \(-0.178065\pi\) |
−0.242796 | + | 0.970077i | \(0.578065\pi\) | |||||||
\(938\) | 3.92724 | − | 12.0868i | 0.128229 | − | 0.394648i | ||||
\(939\) | 1.64312 | + | 5.05701i | 0.0536213 | + | 0.165029i | ||||
\(940\) | −12.3486 | + | 8.97180i | −0.402768 | + | 0.292628i | ||||
\(941\) | −21.8709 | + | 15.8901i | −0.712970 | + | 0.518003i | −0.884130 | − | 0.467240i | \(-0.845248\pi\) |
0.171161 | + | 0.985243i | \(0.445248\pi\) | |||||||
\(942\) | 1.66845 | + | 5.13496i | 0.0543611 | + | 0.167306i | ||||
\(943\) | −11.9128 | + | 36.6639i | −0.387935 | + | 1.19394i | ||||
\(944\) | 7.03372 | + | 5.11030i | 0.228928 | + | 0.166326i | ||||
\(945\) | 61.6526 | 2.00556 | ||||||||
\(946\) | −4.78345 | − | 1.71003i | −0.155523 | − | 0.0555979i | ||||
\(947\) | −23.2276 | −0.754797 | −0.377399 | − | 0.926051i | \(-0.623181\pi\) | ||||
−0.377399 | + | 0.926051i | \(0.623181\pi\) | |||||||
\(948\) | −42.6170 | − | 30.9630i | −1.38414 | − | 1.00563i | ||||
\(949\) | 0.860955 | − | 2.64975i | 0.0279478 | − | 0.0860144i | ||||
\(950\) | −0.422746 | − | 1.30108i | −0.0137157 | − | 0.0422126i | ||||
\(951\) | −11.9899 | + | 8.71118i | −0.388800 | + | 0.282479i | ||||
\(952\) | 15.6704 | − | 11.3852i | 0.507881 | − | 0.368997i | ||||
\(953\) | −14.3890 | − | 44.2849i | −0.466107 | − | 1.43453i | −0.857585 | − | 0.514342i | \(-0.828036\pi\) |
0.391479 | − | 0.920187i | \(-0.371964\pi\) | |||||||
\(954\) | −1.12509 | + | 3.46266i | −0.0364260 | + | 0.112108i | ||||
\(955\) | 3.99104 | + | 2.89966i | 0.129147 | + | 0.0938307i | ||||
\(956\) | 19.7879 | 0.639987 | ||||||||
\(957\) | 37.4986 | − | 10.9857i | 1.21216 | − | 0.355117i | ||||
\(958\) | 1.41313 | 0.0456563 | ||||||||
\(959\) | 26.3491 | + | 19.1437i | 0.850856 | + | 0.618183i | ||||
\(960\) | −11.3831 | + | 35.0337i | −0.367389 | + | 1.13071i | ||||
\(961\) | −2.17459 | − | 6.69269i | −0.0701479 | − | 0.215893i | ||||
\(962\) | 0.314953 | − | 0.228827i | 0.0101545 | − | 0.00737767i | ||||
\(963\) | −53.1154 | + | 38.5906i | −1.71162 | + | 1.24356i | ||||
\(964\) | −10.7808 | − | 33.1799i | −0.347226 | − | 1.06865i | ||||
\(965\) | −6.81008 | + | 20.9593i | −0.219224 | + | 0.674702i | ||||
\(966\) | 14.0721 | + | 10.2240i | 0.452762 | + | 0.328951i | ||||
\(967\) | −14.0562 | −0.452015 | −0.226008 | − | 0.974126i | \(-0.572567\pi\) | ||||
−0.226008 | + | 0.974126i | \(0.572567\pi\) | |||||||
\(968\) | −2.76172 | − | 10.5592i | −0.0887651 | − | 0.339385i | ||||
\(969\) | 63.2986 | 2.03345 | ||||||||
\(970\) | 4.03576 | + | 2.93215i | 0.129581 | + | 0.0941458i | ||||
\(971\) | 3.08022 | − | 9.47993i | 0.0988488 | − | 0.304225i | −0.889389 | − | 0.457152i | \(-0.848870\pi\) |
0.988238 | + | 0.152926i | \(0.0488697\pi\) | |||||||
\(972\) | −4.64611 | − | 14.2992i | −0.149024 | − | 0.458649i | ||||
\(973\) | 51.5516 | − | 37.4544i | 1.65267 | − | 1.20073i | ||||
\(974\) | −4.98249 | + | 3.61999i | −0.159649 | + | 0.115992i | ||||
\(975\) | −1.51359 | − | 4.65836i | −0.0484738 | − | 0.149187i | ||||
\(976\) | −1.58087 | + | 4.86543i | −0.0506025 | + | 0.155738i | ||||
\(977\) | 21.2982 | + | 15.4740i | 0.681389 | + | 0.495058i | 0.873818 | − | 0.486253i | \(-0.161637\pi\) |
−0.192429 | + | 0.981311i | \(0.561637\pi\) | |||||||
\(978\) | −7.03279 | −0.224884 | ||||||||
\(979\) | 2.95458 | − | 0.865580i | 0.0944287 | − | 0.0276641i | ||||
\(980\) | −11.8239 | −0.377700 | ||||||||
\(981\) | −88.4824 | − | 64.2862i | −2.82502 | − | 2.05250i | ||||
\(982\) | 0.858318 | − | 2.64163i | 0.0273900 | − | 0.0842979i | ||||
\(983\) | −1.82042 | − | 5.60269i | −0.0580625 | − | 0.178698i | 0.917819 | − | 0.396999i | \(-0.129948\pi\) |
−0.975881 | + | 0.218301i | \(0.929948\pi\) | |||||||
\(984\) | 13.5293 | − | 9.82964i | 0.431299 | − | 0.313357i | ||||
\(985\) | −6.33153 | + | 4.60012i | −0.201739 | + | 0.146572i | ||||
\(986\) | 1.82007 | + | 5.60160i | 0.0579629 | + | 0.178391i | ||||
\(987\) | −12.9978 | + | 40.0031i | −0.413725 | + | 1.27331i | ||||
\(988\) | −5.32121 | − | 3.86609i | −0.169290 | − | 0.122997i | ||||
\(989\) | −42.6043 | −1.35474 | ||||||||
\(990\) | 9.28671 | + | 3.31990i | 0.295151 | + | 0.105513i | ||||
\(991\) | 6.05897 | 0.192470 | 0.0962348 | − | 0.995359i | \(-0.469320\pi\) | ||||
0.0962348 | + | 0.995359i | \(0.469320\pi\) | |||||||
\(992\) | 11.4753 | + | 8.33731i | 0.364342 | + | 0.264710i | ||||
\(993\) | −0.671037 | + | 2.06524i | −0.0212947 | + | 0.0655384i | ||||
\(994\) | 1.11969 | + | 3.44605i | 0.0355144 | + | 0.109302i | ||||
\(995\) | 26.7458 | − | 19.4320i | 0.847900 | − | 0.616036i | ||||
\(996\) | 42.9656 | − | 31.2164i | 1.36142 | − | 0.989129i | ||||
\(997\) | −1.63747 | − | 5.03960i | −0.0518591 | − | 0.159606i | 0.921773 | − | 0.387730i | \(-0.126741\pi\) |
−0.973632 | + | 0.228124i | \(0.926741\pi\) | |||||||
\(998\) | −1.80019 | + | 5.54042i | −0.0569840 | + | 0.175379i | ||||
\(999\) | −13.0073 | − | 9.45038i | −0.411534 | − | 0.298997i |
(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 | 143.2.h.c.92.5 | yes | 28 | |
11.3 | even | 5 | inner | 143.2.h.c.14.5 | ✓ | 28 | |
11.5 | even | 5 | 1573.2.a.s.1.7 | 14 | |||
11.6 | odd | 10 | 1573.2.a.r.1.8 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
143.2.h.c.14.5 | ✓ | 28 | 11.3 | even | 5 | inner | |
143.2.h.c.92.5 | yes | 28 | 1.1 | even | 1 | trivial | |
1573.2.a.r.1.8 | 14 | 11.6 | odd | 10 | |||
1573.2.a.s.1.7 | 14 | 11.5 | even | 5 |