Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(92,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.92");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.w (of order \(7\), degree \(6\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(162\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 547.17 | ||
Character | \(\chi\) | \(=\) | 637.547 |
Dual form | 637.2.w.a.92.17 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{6}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258756 | + | 0.324470i | 0.182968 | + | 0.229435i | 0.864854 | − | 0.502024i | \(-0.167411\pi\) |
−0.681885 | + | 0.731459i | \(0.738840\pi\) | |||||||
\(3\) | −2.07294 | + | 0.998275i | −1.19681 | + | 0.576354i | −0.922765 | − | 0.385362i | \(-0.874077\pi\) |
−0.274047 | + | 0.961716i | \(0.588362\pi\) | |||||||
\(4\) | 0.406716 | − | 1.78194i | 0.203358 | − | 0.890969i | ||||
\(5\) | 2.95478 | − | 1.42295i | 1.32142 | − | 0.636362i | 0.365725 | − | 0.930723i | \(-0.380821\pi\) |
0.955694 | + | 0.294361i | \(0.0951069\pi\) | |||||||
\(6\) | −0.860297 | − | 0.414297i | −0.351215 | − | 0.169136i | ||||
\(7\) | 2.39153 | − | 1.13164i | 0.903912 | − | 0.427719i | ||||
\(8\) | 1.43125 | − | 0.689256i | 0.506025 | − | 0.243689i | ||||
\(9\) | 1.43005 | − | 1.79323i | 0.476685 | − | 0.597744i | ||||
\(10\) | 1.22627 | + | 0.590542i | 0.387782 | + | 0.186746i | ||||
\(11\) | −3.15323 | − | 3.95403i | −0.950736 | − | 1.19218i | −0.981267 | − | 0.192651i | \(-0.938291\pi\) |
0.0305317 | − | 0.999534i | \(-0.490280\pi\) | |||||||
\(12\) | 0.935767 | + | 4.09986i | 0.270133 | + | 1.18353i | ||||
\(13\) | −0.623490 | − | 0.781831i | −0.172925 | − | 0.216841i | ||||
\(14\) | 0.986006 | + | 0.483160i | 0.263521 | + | 0.129130i | ||||
\(15\) | −4.70459 | + | 5.89937i | −1.21472 | + | 1.52321i | ||||
\(16\) | −2.69953 | − | 1.30002i | −0.674882 | − | 0.325006i | ||||
\(17\) | 0.170956 | + | 0.749007i | 0.0414629 | + | 0.181661i | 0.991419 | − | 0.130723i | \(-0.0417297\pi\) |
−0.949956 | + | 0.312384i | \(0.898873\pi\) | |||||||
\(18\) | 0.951886 | 0.224362 | ||||||||
\(19\) | −6.19624 | −1.42151 | −0.710757 | − | 0.703438i | \(-0.751647\pi\) | ||||
−0.710757 | + | 0.703438i | \(0.751647\pi\) | |||||||
\(20\) | −1.33385 | − | 5.84398i | −0.298258 | − | 1.30675i | ||||
\(21\) | −3.82780 | + | 4.73322i | −0.835295 | + | 1.03287i | ||||
\(22\) | 0.467046 | − | 2.04626i | 0.0995745 | − | 0.436264i | ||||
\(23\) | −1.18560 | + | 5.19447i | −0.247215 | + | 1.08312i | 0.687069 | + | 0.726592i | \(0.258897\pi\) |
−0.934284 | + | 0.356529i | \(0.883960\pi\) | |||||||
\(24\) | −2.27884 | + | 2.85757i | −0.465165 | + | 0.583299i | ||||
\(25\) | 3.58851 | − | 4.49985i | 0.717702 | − | 0.899970i | ||||
\(26\) | 0.0923491 | − | 0.404608i | 0.0181111 | − | 0.0793501i | ||||
\(27\) | 0.361643 | − | 1.58446i | 0.0695982 | − | 0.304930i | ||||
\(28\) | −1.04384 | − | 4.72181i | −0.197267 | − | 0.892337i | ||||
\(29\) | −1.36221 | − | 5.96821i | −0.252955 | − | 1.10827i | −0.928612 | − | 0.371053i | \(-0.878997\pi\) |
0.675656 | − | 0.737217i | \(-0.263860\pi\) | |||||||
\(30\) | −3.13151 | −0.571734 | ||||||||
\(31\) | 6.89540 | 1.23845 | 0.619225 | − | 0.785213i | \(-0.287447\pi\) | ||||
0.619225 | + | 0.785213i | \(0.287447\pi\) | |||||||
\(32\) | −0.983682 | − | 4.30979i | −0.173892 | − | 0.761871i | ||||
\(33\) | 10.4837 | + | 5.04867i | 1.82497 | + | 0.878861i | ||||
\(34\) | −0.198795 | + | 0.249281i | −0.0340930 | + | 0.0427513i | ||||
\(35\) | 5.45617 | − | 6.74676i | 0.922262 | − | 1.14041i | ||||
\(36\) | −2.61380 | − | 3.27761i | −0.435634 | − | 0.546268i | ||||
\(37\) | 0.332101 | + | 1.45503i | 0.0545970 | + | 0.239205i | 0.994862 | − | 0.101238i | \(-0.0322802\pi\) |
−0.940265 | + | 0.340443i | \(0.889423\pi\) | |||||||
\(38\) | −1.60332 | − | 2.01049i | −0.260092 | − | 0.326145i | ||||
\(39\) | 2.07294 | + | 0.998275i | 0.331936 | + | 0.159852i | ||||
\(40\) | 3.24827 | − | 4.07320i | 0.513596 | − | 0.644030i | ||||
\(41\) | 2.62159 | − | 1.26249i | 0.409423 | − | 0.197168i | −0.217824 | − | 0.975988i | \(-0.569896\pi\) |
0.627247 | + | 0.778820i | \(0.284182\pi\) | |||||||
\(42\) | −2.52626 | − | 0.0172569i | −0.389810 | − | 0.00266280i | ||||
\(43\) | −0.824865 | − | 0.397234i | −0.125791 | − | 0.0605776i | 0.369930 | − | 0.929060i | \(-0.379382\pi\) |
−0.495721 | + | 0.868482i | \(0.665096\pi\) | |||||||
\(44\) | −8.32831 | + | 4.01070i | −1.25554 | + | 0.604636i | ||||
\(45\) | 1.67382 | − | 7.33351i | 0.249519 | − | 1.09321i | ||||
\(46\) | −1.99223 | + | 0.959409i | −0.293739 | + | 0.141457i | ||||
\(47\) | 7.89617 | + | 9.90148i | 1.15177 | + | 1.44428i | 0.875511 | + | 0.483198i | \(0.160525\pi\) |
0.276264 | + | 0.961082i | \(0.410904\pi\) | |||||||
\(48\) | 6.89374 | 0.995026 | ||||||||
\(49\) | 4.43879 | − | 5.41269i | 0.634113 | − | 0.773241i | ||||
\(50\) | 2.38862 | 0.337801 | ||||||||
\(51\) | −1.10210 | − | 1.38199i | −0.154324 | − | 0.193517i | ||||
\(52\) | −1.64676 | + | 0.793037i | −0.228364 | + | 0.109974i | ||||
\(53\) | 1.30515 | − | 5.71823i | 0.179276 | − | 0.785460i | −0.802689 | − | 0.596398i | \(-0.796598\pi\) |
0.981965 | − | 0.189062i | \(-0.0605447\pi\) | |||||||
\(54\) | 0.607688 | − | 0.292647i | 0.0826959 | − | 0.0398242i | ||||
\(55\) | −14.9435 | − | 7.19641i | −2.01498 | − | 0.970364i | ||||
\(56\) | 2.64289 | − | 3.26803i | 0.353171 | − | 0.436709i | ||||
\(57\) | 12.8444 | − | 6.18555i | 1.70128 | − | 0.819296i | ||||
\(58\) | 1.58403 | − | 1.98631i | 0.207993 | − | 0.260815i | ||||
\(59\) | −4.68764 | − | 2.25745i | −0.610278 | − | 0.293895i | 0.103103 | − | 0.994671i | \(-0.467123\pi\) |
−0.713381 | + | 0.700776i | \(0.752837\pi\) | |||||||
\(60\) | 8.59888 | + | 10.7827i | 1.11011 | + | 1.39204i | ||||
\(61\) | 2.78252 | + | 12.1910i | 0.356265 | + | 1.56090i | 0.762413 | + | 0.647091i | \(0.224015\pi\) |
−0.406148 | + | 0.913808i | \(0.633128\pi\) | |||||||
\(62\) | 1.78423 | + | 2.23735i | 0.226597 | + | 0.284144i | ||||
\(63\) | 1.39072 | − | 5.90687i | 0.175214 | − | 0.744195i | ||||
\(64\) | −2.59240 | + | 3.25076i | −0.324050 | + | 0.406345i | ||||
\(65\) | −2.95478 | − | 1.42295i | −0.366496 | − | 0.176495i | ||||
\(66\) | 1.07457 | + | 4.70801i | 0.132271 | + | 0.579516i | ||||
\(67\) | −4.44870 | −0.543495 | −0.271748 | − | 0.962369i | \(-0.587602\pi\) | ||||
−0.271748 | + | 0.962369i | \(0.587602\pi\) | |||||||
\(68\) | 1.40422 | 0.170286 | ||||||||
\(69\) | −2.72782 | − | 11.9514i | −0.328391 | − | 1.43878i | ||||
\(70\) | 3.60094 | + | 0.0245981i | 0.430395 | + | 0.00294004i | ||||
\(71\) | −0.427188 | + | 1.87163i | −0.0506979 | + | 0.222122i | −0.993930 | − | 0.110011i | \(-0.964911\pi\) |
0.943232 | + | 0.332133i | \(0.107768\pi\) | |||||||
\(72\) | 0.810776 | − | 3.55224i | 0.0955509 | − | 0.418636i | ||||
\(73\) | 5.56802 | − | 6.98207i | 0.651687 | − | 0.817190i | −0.340723 | − | 0.940164i | \(-0.610672\pi\) |
0.992410 | + | 0.122974i | \(0.0392432\pi\) | |||||||
\(74\) | −0.386180 | + | 0.484255i | −0.0448925 | + | 0.0562935i | ||||
\(75\) | −2.94668 | + | 12.9102i | −0.340253 | + | 1.49075i | ||||
\(76\) | −2.52011 | + | 11.0413i | −0.289076 | + | 1.26653i | ||||
\(77\) | −12.0156 | − | 5.88784i | −1.36930 | − | 0.670982i | ||||
\(78\) | 0.212476 | + | 0.930917i | 0.0240581 | + | 0.105406i | ||||
\(79\) | −4.91714 | −0.553222 | −0.276611 | − | 0.960982i | \(-0.589211\pi\) | ||||
−0.276611 | + | 0.960982i | \(0.589211\pi\) | |||||||
\(80\) | −9.82639 | −1.09862 | ||||||||
\(81\) | 2.36321 | + | 10.3539i | 0.262578 | + | 1.15043i | ||||
\(82\) | 1.08799 | + | 0.523950i | 0.120149 | + | 0.0578606i | ||||
\(83\) | 6.11915 | − | 7.67317i | 0.671664 | − | 0.842240i | −0.322893 | − | 0.946435i | \(-0.604655\pi\) |
0.994557 | + | 0.104196i | \(0.0332269\pi\) | |||||||
\(84\) | 6.87748 | + | 8.74598i | 0.750394 | + | 0.954265i | ||||
\(85\) | 1.57094 | + | 1.96989i | 0.170392 | + | 0.213665i | ||||
\(86\) | −0.0845484 | − | 0.370431i | −0.00911709 | − | 0.0399446i | ||||
\(87\) | 8.78169 | + | 11.0119i | 0.941496 | + | 1.18060i | ||||
\(88\) | −7.23841 | − | 3.48584i | −0.771618 | − | 0.371591i | ||||
\(89\) | 8.82599 | − | 11.0674i | 0.935553 | − | 1.17315i | −0.0491301 | − | 0.998792i | \(-0.515645\pi\) |
0.984683 | − | 0.174354i | \(-0.0557837\pi\) | |||||||
\(90\) | 2.81262 | − | 1.35449i | 0.296476 | − | 0.142775i | ||||
\(91\) | −2.37584 | − | 1.16420i | −0.249056 | − | 0.122042i | ||||
\(92\) | 8.77402 | + | 4.22534i | 0.914755 | + | 0.440523i | ||||
\(93\) | −14.2937 | + | 6.88350i | −1.48219 | + | 0.713786i | ||||
\(94\) | −1.16955 | + | 5.12414i | −0.120630 | + | 0.528515i | ||||
\(95\) | −18.3085 | + | 8.81692i | −1.87842 | + | 0.904597i | ||||
\(96\) | 6.34147 | + | 7.95195i | 0.647224 | + | 0.811593i | ||||
\(97\) | 14.7499 | 1.49762 | 0.748812 | − | 0.662783i | \(-0.230625\pi\) | ||||
0.748812 | + | 0.662783i | \(0.230625\pi\) | |||||||
\(98\) | 2.90482 | + | 0.0396876i | 0.293431 | + | 0.00400906i | ||||
\(99\) | −11.5998 | −1.16582 | ||||||||
\(100\) | −6.55895 | − | 8.22466i | −0.655895 | − | 0.822466i | ||||
\(101\) | 12.0656 | − | 5.81047i | 1.20057 | − | 0.578164i | 0.276731 | − | 0.960947i | \(-0.410749\pi\) |
0.923838 | + | 0.382784i | \(0.125035\pi\) | |||||||
\(102\) | 0.163239 | − | 0.715195i | 0.0161630 | − | 0.0708149i | ||||
\(103\) | −1.78529 | + | 0.859749i | −0.175909 | + | 0.0847135i | −0.519766 | − | 0.854309i | \(-0.673981\pi\) |
0.343857 | + | 0.939022i | \(0.388267\pi\) | |||||||
\(104\) | −1.43125 | − | 0.689256i | −0.140346 | − | 0.0675871i | ||||
\(105\) | −4.57519 | + | 19.4324i | −0.446493 | + | 1.89641i | ||||
\(106\) | 2.19311 | − | 1.05615i | 0.213014 | − | 0.102582i | ||||
\(107\) | 1.10479 | − | 1.38536i | 0.106804 | − | 0.133928i | −0.725557 | − | 0.688162i | \(-0.758418\pi\) |
0.832360 | + | 0.554235i | \(0.186989\pi\) | |||||||
\(108\) | −2.67633 | − | 1.28885i | −0.257530 | − | 0.124020i | ||||
\(109\) | 5.64542 | + | 7.07913i | 0.540733 | + | 0.678058i | 0.974866 | − | 0.222791i | \(-0.0715167\pi\) |
−0.434133 | + | 0.900849i | \(0.642945\pi\) | |||||||
\(110\) | −1.53171 | − | 6.71084i | −0.146042 | − | 0.639853i | ||||
\(111\) | −2.14094 | − | 2.68466i | −0.203209 | − | 0.254816i | ||||
\(112\) | −7.92715 | − | 0.0541505i | −0.749045 | − | 0.00511674i | ||||
\(113\) | −5.12945 | + | 6.43213i | −0.482538 | + | 0.605084i | −0.962191 | − | 0.272374i | \(-0.912191\pi\) |
0.479653 | + | 0.877458i | \(0.340763\pi\) | |||||||
\(114\) | 5.33060 | + | 2.56708i | 0.499257 | + | 0.240429i | ||||
\(115\) | 3.88826 | + | 17.0356i | 0.362582 | + | 1.58858i | ||||
\(116\) | −11.1890 | −1.03887 | ||||||||
\(117\) | −2.29363 | −0.212046 | ||||||||
\(118\) | −0.480482 | − | 2.10513i | −0.0442319 | − | 0.193793i | ||||
\(119\) | 1.25645 | + | 1.59781i | 0.115179 | + | 0.146471i | ||||
\(120\) | −2.66729 | + | 11.6862i | −0.243489 | + | 1.06680i | ||||
\(121\) | −3.24374 | + | 14.2117i | −0.294885 | + | 1.29198i | ||||
\(122\) | −3.23563 | + | 4.05735i | −0.292940 | + | 0.367335i | ||||
\(123\) | −4.17408 | + | 5.23413i | −0.376364 | + | 0.471946i | ||||
\(124\) | 2.80447 | − | 12.2872i | 0.251849 | − | 1.10342i | ||||
\(125\) | 0.551359 | − | 2.41566i | 0.0493151 | − | 0.216064i | ||||
\(126\) | 2.27646 | − | 1.07719i | 0.202803 | − | 0.0959638i | ||||
\(127\) | −1.28624 | − | 5.63537i | −0.114135 | − | 0.500059i | −0.999389 | − | 0.0349505i | \(-0.988873\pi\) |
0.885254 | − | 0.465108i | \(-0.153985\pi\) | |||||||
\(128\) | −10.5668 | −0.933985 | ||||||||
\(129\) | 2.10644 | 0.185462 | ||||||||
\(130\) | −0.302864 | − | 1.32694i | −0.0265630 | − | 0.116380i | ||||
\(131\) | 4.15183 | + | 1.99942i | 0.362747 | + | 0.174690i | 0.606375 | − | 0.795179i | \(-0.292623\pi\) |
−0.243627 | + | 0.969869i | \(0.578337\pi\) | |||||||
\(132\) | 13.2603 | − | 16.6279i | 1.15416 | − | 1.44727i | ||||
\(133\) | −14.8185 | + | 7.01190i | −1.28492 | + | 0.608009i | ||||
\(134\) | −1.15113 | − | 1.44347i | −0.0994424 | − | 0.124697i | ||||
\(135\) | −1.18603 | − | 5.19634i | −0.102077 | − | 0.447230i | ||||
\(136\) | 0.760939 | + | 0.954187i | 0.0652500 | + | 0.0818209i | ||||
\(137\) | 4.65077 | + | 2.23970i | 0.397342 | + | 0.191350i | 0.621875 | − | 0.783117i | \(-0.286371\pi\) |
−0.224532 | + | 0.974467i | \(0.572085\pi\) | |||||||
\(138\) | 3.17202 | − | 3.97759i | 0.270021 | − | 0.338595i | ||||
\(139\) | −19.3356 | + | 9.31153i | −1.64002 | + | 0.789793i | −0.640257 | + | 0.768161i | \(0.721172\pi\) |
−0.999766 | + | 0.0216328i | \(0.993114\pi\) | |||||||
\(140\) | −9.80320 | − | 12.4666i | −0.828522 | − | 1.05362i | ||||
\(141\) | −26.2527 | − | 12.6426i | −2.21087 | − | 1.06470i | ||||
\(142\) | −0.717827 | + | 0.345687i | −0.0602387 | + | 0.0290094i | ||||
\(143\) | −1.12538 | + | 4.93059i | −0.0941087 | + | 0.412317i | ||||
\(144\) | −6.19172 | + | 2.98177i | −0.515977 | + | 0.248481i | ||||
\(145\) | −12.5175 | − | 15.6964i | −1.03952 | − | 1.30352i | ||||
\(146\) | 3.70623 | 0.306730 | ||||||||
\(147\) | −3.79799 | + | 15.6513i | −0.313253 | + | 1.29090i | ||||
\(148\) | 2.72784 | 0.224227 | ||||||||
\(149\) | 7.01154 | + | 8.79219i | 0.574408 | + | 0.720284i | 0.981148 | − | 0.193260i | \(-0.0619060\pi\) |
−0.406740 | + | 0.913544i | \(0.633335\pi\) | |||||||
\(150\) | −4.95146 | + | 2.38450i | −0.404285 | + | 0.194693i | ||||
\(151\) | −3.81536 | + | 16.7162i | −0.310490 | + | 1.36034i | 0.543218 | + | 0.839591i | \(0.317206\pi\) |
−0.853708 | + | 0.520752i | \(0.825652\pi\) | |||||||
\(152\) | −8.86839 | + | 4.27079i | −0.719321 | + | 0.346407i | ||||
\(153\) | 1.58762 | + | 0.764558i | 0.128352 | + | 0.0618108i | ||||
\(154\) | −1.19868 | − | 5.42221i | −0.0965921 | − | 0.436934i | ||||
\(155\) | 20.3744 | − | 9.81180i | 1.63651 | − | 0.788103i | ||||
\(156\) | 2.62196 | − | 3.28784i | 0.209925 | − | 0.263238i | ||||
\(157\) | 5.38859 | + | 2.59501i | 0.430057 | + | 0.207104i | 0.636374 | − | 0.771381i | \(-0.280434\pi\) |
−0.206317 | + | 0.978485i | \(0.566148\pi\) | |||||||
\(158\) | −1.27234 | − | 1.59547i | −0.101222 | − | 0.126929i | ||||
\(159\) | 3.00287 | + | 13.1564i | 0.238143 | + | 1.04337i | ||||
\(160\) | −9.03918 | − | 11.3348i | −0.714610 | − | 0.896092i | ||||
\(161\) | 3.04286 | + | 13.7644i | 0.239811 | + | 1.08478i | ||||
\(162\) | −2.74803 | + | 3.44592i | −0.215906 | + | 0.270737i | ||||
\(163\) | 17.1827 | + | 8.27474i | 1.34585 | + | 0.648128i | 0.961435 | − | 0.275032i | \(-0.0886884\pi\) |
0.384416 | + | 0.923160i | \(0.374403\pi\) | |||||||
\(164\) | −1.18344 | − | 5.18498i | −0.0924110 | − | 0.404879i | ||||
\(165\) | 38.1610 | 2.97083 | ||||||||
\(166\) | 4.07308 | 0.316133 | ||||||||
\(167\) | 1.27620 | + | 5.59138i | 0.0987550 | + | 0.432674i | 1.00000 | 0.000636464i | \(-0.000202593\pi\) | |
−0.901245 | + | 0.433310i | \(0.857345\pi\) | |||||||
\(168\) | −2.21616 | + | 9.41277i | −0.170980 | + | 0.726211i | ||||
\(169\) | −0.222521 | + | 0.974928i | −0.0171170 | + | 0.0749945i | ||||
\(170\) | −0.232682 | + | 1.01944i | −0.0178459 | + | 0.0781878i | ||||
\(171\) | −8.86096 | + | 11.1113i | −0.677614 | + | 0.849701i | ||||
\(172\) | −1.04333 | + | 1.30830i | −0.0795533 | + | 0.0997567i | ||||
\(173\) | 3.05692 | − | 13.3933i | 0.232413 | − | 1.01827i | −0.715217 | − | 0.698902i | \(-0.753672\pi\) |
0.947631 | − | 0.319368i | \(-0.103471\pi\) | |||||||
\(174\) | −1.30071 | + | 5.69879i | −0.0986067 | + | 0.432024i | ||||
\(175\) | 3.48981 | − | 14.8224i | 0.263805 | − | 1.12047i | ||||
\(176\) | 3.37191 | + | 14.7733i | 0.254167 | + | 1.11358i | ||||
\(177\) | 11.9707 | 0.899776 | ||||||||
\(178\) | 5.87484 | 0.440338 | ||||||||
\(179\) | −3.43318 | − | 15.0417i | −0.256608 | − | 1.12427i | −0.924851 | − | 0.380329i | \(-0.875811\pi\) |
0.668243 | − | 0.743943i | \(-0.267046\pi\) | |||||||
\(180\) | −12.3871 | − | 5.96531i | −0.923279 | − | 0.444628i | ||||
\(181\) | −11.5249 | + | 14.4517i | −0.856637 | + | 1.07419i | 0.139828 | + | 0.990176i | \(0.455345\pi\) |
−0.996465 | + | 0.0840128i | \(0.973226\pi\) | |||||||
\(182\) | −0.237015 | − | 1.07214i | −0.0175687 | − | 0.0794720i | ||||
\(183\) | −17.9380 | − | 22.4935i | −1.32601 | − | 1.66277i | ||||
\(184\) | 1.88342 | + | 8.25179i | 0.138847 | + | 0.608330i | ||||
\(185\) | 3.05172 | + | 3.82673i | 0.224367 | + | 0.281347i | ||||
\(186\) | −5.93209 | − | 2.85674i | −0.434962 | − | 0.209467i | ||||
\(187\) | 2.42253 | − | 3.03776i | 0.177153 | − | 0.222143i | ||||
\(188\) | 20.8553 | − | 10.0434i | 1.52103 | − | 0.732490i | ||||
\(189\) | −0.928159 | − | 4.19853i | −0.0675137 | − | 0.305398i | ||||
\(190\) | −7.59828 | − | 3.65914i | −0.551237 | − | 0.265462i | ||||
\(191\) | 11.6578 | − | 5.61410i | 0.843529 | − | 0.406222i | 0.0383574 | − | 0.999264i | \(-0.487787\pi\) |
0.805172 | + | 0.593042i | \(0.202073\pi\) | |||||||
\(192\) | 2.12873 | − | 9.32656i | 0.153628 | − | 0.673087i | ||||
\(193\) | 3.73622 | − | 1.79927i | 0.268939 | − | 0.129514i | −0.294555 | − | 0.955635i | \(-0.595171\pi\) |
0.563493 | + | 0.826121i | \(0.309457\pi\) | |||||||
\(194\) | 3.81663 | + | 4.78590i | 0.274018 | + | 0.343607i | ||||
\(195\) | 7.54558 | 0.540350 | ||||||||
\(196\) | −7.83975 | − | 10.1111i | −0.559982 | − | 0.722219i | ||||
\(197\) | −10.5859 | −0.754217 | −0.377109 | − | 0.926169i | \(-0.623082\pi\) | ||||
−0.377109 | + | 0.926169i | \(0.623082\pi\) | |||||||
\(198\) | −3.00152 | − | 3.76379i | −0.213309 | − | 0.267481i | ||||
\(199\) | 1.50836 | − | 0.726387i | 0.106925 | − | 0.0514922i | −0.379657 | − | 0.925127i | \(-0.623958\pi\) |
0.486582 | + | 0.873635i | \(0.338244\pi\) | |||||||
\(200\) | 2.03452 | − | 8.91383i | 0.143863 | − | 0.630303i | ||||
\(201\) | 9.22188 | − | 4.44102i | 0.650461 | − | 0.313246i | ||||
\(202\) | 5.00737 | + | 2.41142i | 0.352317 | + | 0.169667i | ||||
\(203\) | −10.0116 | − | 12.7316i | −0.702677 | − | 0.893584i | ||||
\(204\) | −2.91085 | + | 1.40179i | −0.203800 | + | 0.0981451i | ||||
\(205\) | 5.94976 | − | 7.46077i | 0.415550 | − | 0.521083i | ||||
\(206\) | −0.740917 | − | 0.356807i | −0.0516221 | − | 0.0248599i | ||||
\(207\) | 7.61941 | + | 9.55444i | 0.529586 | + | 0.664079i | ||||
\(208\) | 0.666728 | + | 2.92113i | 0.0462293 | + | 0.202544i | ||||
\(209\) | 19.5382 | + | 24.5001i | 1.35148 | + | 1.69471i | ||||
\(210\) | −7.48909 | + | 3.54374i | −0.516797 | + | 0.244541i | ||||
\(211\) | 11.7776 | − | 14.7687i | 0.810806 | − | 1.01672i | −0.188594 | − | 0.982055i | \(-0.560393\pi\) |
0.999399 | − | 0.0346627i | \(-0.0110357\pi\) | |||||||
\(212\) | −9.65871 | − | 4.65139i | −0.663363 | − | 0.319459i | ||||
\(213\) | −0.982870 | − | 4.30624i | −0.0673452 | − | 0.295058i | ||||
\(214\) | 0.735378 | 0.0502694 | ||||||||
\(215\) | −3.00254 | −0.204771 | ||||||||
\(216\) | −0.574496 | − | 2.51703i | −0.0390895 | − | 0.171262i | ||||
\(217\) | 16.4905 | − | 7.80310i | 1.11945 | − | 0.529709i | ||||
\(218\) | −0.836179 | + | 3.66354i | −0.0566332 | + | 0.248126i | ||||
\(219\) | −4.57213 | + | 20.0318i | −0.308956 | + | 1.35363i | ||||
\(220\) | −18.9013 | + | 23.7015i | −1.27433 | + | 1.59795i | ||||
\(221\) | 0.479008 | − | 0.600657i | 0.0322216 | − | 0.0404046i | ||||
\(222\) | 0.317109 | − | 1.38934i | 0.0212829 | − | 0.0932467i | ||||
\(223\) | 1.30483 | − | 5.71682i | 0.0873776 | − | 0.382826i | −0.912264 | − | 0.409603i | \(-0.865667\pi\) |
0.999641 | + | 0.0267768i | \(0.00852434\pi\) | |||||||
\(224\) | −7.22963 | − | 9.19381i | −0.483050 | − | 0.614287i | ||||
\(225\) | −2.93751 | − | 12.8701i | −0.195834 | − | 0.858004i | ||||
\(226\) | −3.41431 | −0.227117 | ||||||||
\(227\) | −20.5925 | −1.36677 | −0.683387 | − | 0.730057i | \(-0.739494\pi\) | ||||
−0.683387 | + | 0.730057i | \(0.739494\pi\) | |||||||
\(228\) | −5.79823 | − | 25.4037i | −0.383997 | − | 1.68240i | ||||
\(229\) | 21.2986 | + | 10.2569i | 1.40745 | + | 0.677793i | 0.974658 | − | 0.223701i | \(-0.0718138\pi\) |
0.432793 | + | 0.901493i | \(0.357528\pi\) | |||||||
\(230\) | −4.52143 | + | 5.66969i | −0.298134 | + | 0.373848i | ||||
\(231\) | 30.7852 | + | 0.210295i | 2.02552 | + | 0.0138364i | ||||
\(232\) | −6.06329 | − | 7.60312i | −0.398074 | − | 0.499169i | ||||
\(233\) | −3.39982 | − | 14.8956i | −0.222729 | − | 0.975842i | −0.955413 | − | 0.295272i | \(-0.904590\pi\) |
0.732684 | − | 0.680569i | \(-0.238268\pi\) | |||||||
\(234\) | −0.593491 | − | 0.744215i | −0.0387977 | − | 0.0486508i | ||||
\(235\) | 37.4208 | + | 18.0209i | 2.44106 | + | 1.17555i | ||||
\(236\) | −5.92917 | + | 7.43494i | −0.385956 | + | 0.483973i | ||||
\(237\) | 10.1929 | − | 4.90866i | 0.662103 | − | 0.318852i | ||||
\(238\) | −0.193327 | + | 0.821125i | −0.0125315 | + | 0.0532256i | ||||
\(239\) | −19.9247 | − | 9.59522i | −1.28882 | − | 0.620663i | −0.341178 | − | 0.939999i | \(-0.610826\pi\) |
−0.947642 | + | 0.319336i | \(0.896540\pi\) | |||||||
\(240\) | 20.3695 | − | 9.80944i | 1.31485 | − | 0.633196i | ||||
\(241\) | −3.10157 | + | 13.5889i | −0.199790 | + | 0.875335i | 0.771272 | + | 0.636506i | \(0.219621\pi\) |
−0.971062 | + | 0.238830i | \(0.923236\pi\) | |||||||
\(242\) | −5.45063 | + | 2.62488i | −0.350380 | + | 0.168734i | ||||
\(243\) | −12.1949 | − | 15.2919i | −0.782303 | − | 0.980977i | ||||
\(244\) | 22.8553 | 1.46316 | ||||||||
\(245\) | 5.41368 | − | 22.3095i | 0.345867 | − | 1.42530i | ||||
\(246\) | −2.77839 | −0.177144 | ||||||||
\(247\) | 3.86329 | + | 4.84441i | 0.245815 | + | 0.308243i | ||||
\(248\) | 9.86907 | − | 4.75269i | 0.626686 | − | 0.301796i | ||||
\(249\) | −5.02469 | + | 22.0146i | −0.318427 | + | 1.39512i | ||||
\(250\) | 0.926479 | − | 0.446169i | 0.0585957 | − | 0.0282182i | ||||
\(251\) | 9.05520 | + | 4.36075i | 0.571559 | + | 0.275248i | 0.697258 | − | 0.716820i | \(-0.254403\pi\) |
−0.125699 | + | 0.992068i | \(0.540117\pi\) | |||||||
\(252\) | −9.96004 | − | 4.88060i | −0.627424 | − | 0.307449i | ||||
\(253\) | 24.2776 | − | 11.6915i | 1.52632 | − | 0.735036i | ||||
\(254\) | 1.49569 | − | 1.87553i | 0.0938479 | − | 0.117682i | ||||
\(255\) | −5.22295 | − | 2.51524i | −0.327074 | − | 0.157510i | ||||
\(256\) | 2.45056 | + | 3.07291i | 0.153160 | + | 0.192057i | ||||
\(257\) | 3.56554 | + | 15.6216i | 0.222412 | + | 0.974451i | 0.955656 | + | 0.294485i | \(0.0951482\pi\) |
−0.733244 | + | 0.679966i | \(0.761995\pi\) | |||||||
\(258\) | 0.545055 | + | 0.683478i | 0.0339337 | + | 0.0425515i | ||||
\(259\) | 2.44079 | + | 3.10392i | 0.151664 | + | 0.192868i | ||||
\(260\) | −3.73736 | + | 4.68651i | −0.231781 | + | 0.290645i | ||||
\(261\) | −12.6504 | − | 6.09212i | −0.783041 | − | 0.377093i | ||||
\(262\) | 0.425562 | + | 1.86451i | 0.0262913 | + | 0.115190i | ||||
\(263\) | −6.75499 | −0.416531 | −0.208265 | − | 0.978072i | \(-0.566782\pi\) | ||||
−0.208265 | + | 0.978072i | \(0.566782\pi\) | |||||||
\(264\) | 18.4846 | 1.13765 | ||||||||
\(265\) | −4.28032 | − | 18.7533i | −0.262938 | − | 1.15201i | ||||
\(266\) | −6.10952 | − | 2.99377i | −0.374599 | − | 0.183560i | ||||
\(267\) | −7.24739 | + | 31.7529i | −0.443533 | + | 1.94325i | ||||
\(268\) | −1.80936 | + | 7.92731i | −0.110524 | + | 0.484237i | ||||
\(269\) | −2.72836 | + | 3.42126i | −0.166351 | + | 0.208598i | −0.858019 | − | 0.513618i | \(-0.828305\pi\) |
0.691668 | + | 0.722216i | \(0.256876\pi\) | |||||||
\(270\) | 1.37916 | − | 1.72942i | 0.0839333 | − | 0.105249i | ||||
\(271\) | −7.01062 | + | 30.7155i | −0.425865 | + | 1.86584i | 0.0701724 | + | 0.997535i | \(0.477645\pi\) |
−0.496037 | + | 0.868301i | \(0.665212\pi\) | |||||||
\(272\) | 0.512227 | − | 2.24421i | 0.0310583 | − | 0.136075i | ||||
\(273\) | 6.08717 | + | 0.0415816i | 0.368412 | + | 0.00251663i | ||||
\(274\) | 0.476703 | + | 2.08857i | 0.0287987 | + | 0.126175i | ||||
\(275\) | −29.1079 | −1.75528 | ||||||||
\(276\) | −22.4061 | −1.34869 | ||||||||
\(277\) | 1.04145 | + | 4.56290i | 0.0625747 | + | 0.274158i | 0.996530 | − | 0.0832315i | \(-0.0265241\pi\) |
−0.933956 | + | 0.357389i | \(0.883667\pi\) | |||||||
\(278\) | −8.02452 | − | 3.86441i | −0.481279 | − | 0.231772i | ||||
\(279\) | 9.86080 | − | 12.3651i | 0.590351 | − | 0.740276i | ||||
\(280\) | 3.15893 | − | 13.4170i | 0.188782 | − | 0.801821i | ||||
\(281\) | −13.5750 | − | 17.0225i | −0.809818 | − | 1.01548i | −0.999435 | − | 0.0336217i | \(-0.989296\pi\) |
0.189616 | − | 0.981858i | \(-0.439276\pi\) | |||||||
\(282\) | −2.69089 | − | 11.7896i | −0.160240 | − | 0.702059i | ||||
\(283\) | 9.61416 | + | 12.0558i | 0.571502 | + | 0.716641i | 0.980637 | − | 0.195832i | \(-0.0627409\pi\) |
−0.409135 | + | 0.912474i | \(0.634169\pi\) | |||||||
\(284\) | 3.16139 | + | 1.52245i | 0.187594 | + | 0.0903406i | ||||
\(285\) | 29.1508 | − | 36.5539i | 1.72674 | − | 2.16527i | ||||
\(286\) | −1.89103 | + | 0.910672i | −0.111819 | + | 0.0538491i | ||||
\(287\) | 4.84091 | − | 5.98597i | 0.285750 | − | 0.353340i | ||||
\(288\) | −9.13518 | − | 4.39927i | −0.538295 | − | 0.259229i | ||||
\(289\) | 14.7847 | − | 7.11993i | 0.869687 | − | 0.418819i | ||||
\(290\) | 1.85404 | − | 8.12310i | 0.108873 | − | 0.477005i | ||||
\(291\) | −30.5756 | + | 14.7244i | −1.79237 | + | 0.863162i | ||||
\(292\) | −10.1770 | − | 12.7616i | −0.595565 | − | 0.746815i | ||||
\(293\) | −11.4466 | −0.668718 | −0.334359 | − | 0.942446i | \(-0.608520\pi\) | ||||
−0.334359 | + | 0.942446i | \(0.608520\pi\) | |||||||
\(294\) | −6.06113 | + | 2.81754i | −0.353493 | + | 0.164322i | ||||
\(295\) | −17.0632 | −0.993457 | ||||||||
\(296\) | 1.47821 | + | 1.85361i | 0.0859190 | + | 0.107739i | ||||
\(297\) | −7.40535 | + | 3.56623i | −0.429702 | + | 0.206934i | ||||
\(298\) | −1.03852 | + | 4.55007i | −0.0601601 | + | 0.263579i | ||||
\(299\) | 4.80041 | − | 2.31176i | 0.277615 | − | 0.133692i | ||||
\(300\) | 21.8068 | + | 10.5016i | 1.25902 | + | 0.606310i | ||||
\(301\) | −2.42221 | − | 0.0165462i | −0.139614 | − | 0.000953705i | ||||
\(302\) | −6.41115 | + | 3.08745i | −0.368920 | + | 0.177663i | ||||
\(303\) | −19.2107 | + | 24.0895i | −1.10363 | + | 1.38391i | ||||
\(304\) | 16.7269 | + | 8.05526i | 0.959354 | + | 0.462001i | ||||
\(305\) | 25.5689 | + | 32.0624i | 1.46407 | + | 1.83589i | ||||
\(306\) | 0.162731 | + | 0.712970i | 0.00930269 | + | 0.0407578i | ||||
\(307\) | 9.27745 | + | 11.6336i | 0.529492 | + | 0.663962i | 0.972594 | − | 0.232509i | \(-0.0746936\pi\) |
−0.443102 | + | 0.896471i | \(0.646122\pi\) | |||||||
\(308\) | −15.3787 | + | 19.0163i | −0.876282 | + | 1.08356i | ||||
\(309\) | 2.84252 | − | 3.56441i | 0.161706 | − | 0.202772i | ||||
\(310\) | 8.45564 | + | 4.07202i | 0.480248 | + | 0.231275i | ||||
\(311\) | −2.89520 | − | 12.6847i | −0.164172 | − | 0.719283i | −0.988255 | − | 0.152814i | \(-0.951166\pi\) |
0.824083 | − | 0.566469i | \(-0.191691\pi\) | |||||||
\(312\) | 3.65497 | 0.206922 | ||||||||
\(313\) | −33.1322 | −1.87274 | −0.936371 | − | 0.351013i | \(-0.885837\pi\) | ||||
−0.936371 | + | 0.351013i | \(0.885837\pi\) | |||||||
\(314\) | 0.552329 | + | 2.41991i | 0.0311698 | + | 0.136564i | ||||
\(315\) | −4.29588 | − | 19.4324i | −0.242046 | − | 1.09489i | ||||
\(316\) | −1.99988 | + | 8.76205i | −0.112502 | + | 0.492904i | ||||
\(317\) | −1.06994 | + | 4.68773i | −0.0600941 | + | 0.263289i | −0.996046 | − | 0.0888383i | \(-0.971685\pi\) |
0.935952 | + | 0.352128i | \(0.114542\pi\) | |||||||
\(318\) | −3.49186 | + | 4.37866i | −0.195814 | + | 0.245543i | ||||
\(319\) | −19.3031 | + | 24.2054i | −1.08077 | + | 1.35524i | ||||
\(320\) | −3.03430 | + | 13.2941i | −0.169623 | + | 0.743166i | ||||
\(321\) | −0.907186 | + | 3.97464i | −0.0506342 | + | 0.221843i | ||||
\(322\) | −3.67877 | + | 4.54894i | −0.205010 | + | 0.253502i | ||||
\(323\) | −1.05928 | − | 4.64103i | −0.0589401 | − | 0.258234i | ||||
\(324\) | 19.4111 | 1.07840 | ||||||||
\(325\) | −5.75552 | −0.319259 | ||||||||
\(326\) | 1.76122 | + | 7.71641i | 0.0975450 | + | 0.427373i | ||||
\(327\) | −18.7695 | − | 9.03893i | −1.03796 | − | 0.499854i | ||||
\(328\) | 2.88198 | − | 3.61389i | 0.159131 | − | 0.199544i | ||||
\(329\) | 30.0888 | + | 14.7440i | 1.65885 | + | 0.812865i | ||||
\(330\) | 9.87439 | + | 12.3821i | 0.543567 | + | 0.681612i | ||||
\(331\) | −0.673520 | − | 2.95088i | −0.0370200 | − | 0.162195i | 0.953039 | − | 0.302847i | \(-0.0979372\pi\) |
−0.990059 | + | 0.140652i | \(0.955080\pi\) | |||||||
\(332\) | −11.1844 | − | 14.0247i | −0.613821 | − | 0.769708i | ||||
\(333\) | 3.08413 | + | 1.48524i | 0.169009 | + | 0.0813905i | ||||
\(334\) | −1.48401 | + | 1.86089i | −0.0812015 | + | 0.101823i | ||||
\(335\) | −13.1449 | + | 6.33027i | −0.718185 | + | 0.345859i | ||||
\(336\) | 16.4866 | − | 7.80122i | 0.899415 | − | 0.425592i | ||||
\(337\) | 10.6106 | + | 5.10981i | 0.577998 | + | 0.278349i | 0.699956 | − | 0.714186i | \(-0.253203\pi\) |
−0.121958 | + | 0.992535i | \(0.538917\pi\) | |||||||
\(338\) | −0.373914 | + | 0.180067i | −0.0203382 | + | 0.00979438i | ||||
\(339\) | 4.21201 | − | 18.4540i | 0.228765 | − | 1.00228i | ||||
\(340\) | 4.14915 | − | 1.99813i | 0.225019 | − | 0.108364i | ||||
\(341\) | −21.7428 | − | 27.2646i | −1.17744 | − | 1.47646i | ||||
\(342\) | −5.89811 | −0.318933 | ||||||||
\(343\) | 4.49027 | − | 17.9677i | 0.242452 | − | 0.970163i | ||||
\(344\) | −1.45439 | −0.0784153 | ||||||||
\(345\) | −25.0663 | − | 31.4322i | −1.34953 | − | 1.69225i | ||||
\(346\) | 5.13671 | − | 2.47371i | 0.276151 | − | 0.132987i | ||||
\(347\) | 5.48035 | − | 24.0110i | 0.294201 | − | 1.28898i | −0.584417 | − | 0.811453i | \(-0.698677\pi\) |
0.878618 | − | 0.477525i | \(-0.158466\pi\) | |||||||
\(348\) | 23.1942 | − | 11.1697i | 1.24334 | − | 0.598760i | ||||
\(349\) | 24.4767 | + | 11.7873i | 1.31021 | + | 0.630962i | 0.952973 | − | 0.303054i | \(-0.0980063\pi\) |
0.357232 | + | 0.934016i | \(0.383721\pi\) | |||||||
\(350\) | 5.71244 | − | 2.70305i | 0.305343 | − | 0.144484i | ||||
\(351\) | −1.46426 | + | 0.705152i | −0.0781565 | + | 0.0376382i | ||||
\(352\) | −13.9393 | + | 17.4793i | −0.742965 | + | 0.931649i | ||||
\(353\) | −1.26805 | − | 0.610659i | −0.0674913 | − | 0.0325021i | 0.399834 | − | 0.916588i | \(-0.369068\pi\) |
−0.467325 | + | 0.884086i | \(0.654782\pi\) | |||||||
\(354\) | 3.09750 | + | 3.88415i | 0.164631 | + | 0.206440i | ||||
\(355\) | 1.40099 | + | 6.13814i | 0.0743568 | + | 0.325779i | ||||
\(356\) | −16.1318 | − | 20.2287i | −0.854985 | − | 1.07212i | ||||
\(357\) | −4.19960 | − | 2.05788i | −0.222266 | − | 0.108914i | ||||
\(358\) | 3.99224 | − | 5.00611i | 0.210996 | − | 0.264581i | ||||
\(359\) | −10.8982 | − | 5.24831i | −0.575186 | − | 0.276995i | 0.123593 | − | 0.992333i | \(-0.460558\pi\) |
−0.698779 | + | 0.715338i | \(0.746273\pi\) | |||||||
\(360\) | −2.65899 | − | 11.6498i | −0.140141 | − | 0.613998i | ||||
\(361\) | 19.3933 | 1.02070 | ||||||||
\(362\) | −7.67129 | −0.403194 | ||||||||
\(363\) | −7.46316 | − | 32.6982i | −0.391714 | − | 1.71621i | ||||
\(364\) | −3.04083 | + | 3.76010i | −0.159383 | + | 0.197083i | ||||
\(365\) | 6.51715 | − | 28.5535i | 0.341123 | − | 1.49456i | ||||
\(366\) | 2.65691 | − | 11.6407i | 0.138879 | − | 0.608468i | ||||
\(367\) | −6.26537 | + | 7.85652i | −0.327050 | + | 0.410107i | −0.917987 | − | 0.396610i | \(-0.870187\pi\) |
0.590938 | + | 0.806717i | \(0.298758\pi\) | |||||||
\(368\) | 9.95351 | − | 12.4813i | 0.518862 | − | 0.650633i | ||||
\(369\) | 1.48508 | − | 6.50655i | 0.0773100 | − | 0.338717i | ||||
\(370\) | −0.452009 | + | 1.98038i | −0.0234988 | + | 0.102955i | ||||
\(371\) | −3.34968 | − | 15.1523i | −0.173906 | − | 0.786666i | ||||
\(372\) | 6.45249 | + | 28.2702i | 0.334546 | + | 1.46574i | ||||
\(373\) | −24.1044 | −1.24808 | −0.624039 | − | 0.781393i | \(-0.714509\pi\) | ||||
−0.624039 | + | 0.781393i | \(0.714509\pi\) | |||||||
\(374\) | 1.61251 | 0.0833808 | ||||||||
\(375\) | 1.26856 | + | 5.55793i | 0.0655082 | + | 0.287010i | ||||
\(376\) | 18.1261 | + | 8.72906i | 0.934781 | + | 0.450167i | ||||
\(377\) | −3.81682 | + | 4.78614i | −0.196576 | + | 0.246499i | ||||
\(378\) | 1.12213 | − | 1.38756i | 0.0577162 | − | 0.0713682i | ||||
\(379\) | 12.8250 | + | 16.0821i | 0.658778 | + | 0.826081i | 0.993210 | − | 0.116339i | \(-0.0371158\pi\) |
−0.334432 | + | 0.942420i | \(0.608544\pi\) | |||||||
\(380\) | 8.26485 | + | 36.2107i | 0.423978 | + | 1.85757i | ||||
\(381\) | 8.29194 | + | 10.3978i | 0.424809 | + | 0.532694i | ||||
\(382\) | 4.83814 | + | 2.32993i | 0.247541 | + | 0.119209i | ||||
\(383\) | 23.0905 | − | 28.9546i | 1.17987 | − | 1.47951i | 0.336906 | − | 0.941538i | \(-0.390620\pi\) |
0.842964 | − | 0.537971i | \(-0.180809\pi\) | |||||||
\(384\) | 21.9044 | − | 10.5486i | 1.11780 | − | 0.538306i | ||||
\(385\) | −43.8815 | − | 0.299755i | −2.23641 | − | 0.0152770i | ||||
\(386\) | 1.55058 | + | 0.746719i | 0.0789223 | + | 0.0380070i | ||||
\(387\) | −1.89193 | + | 0.911107i | −0.0961724 | + | 0.0463142i | ||||
\(388\) | 5.99901 | − | 26.2834i | 0.304554 | − | 1.33434i | ||||
\(389\) | 6.21452 | − | 2.99275i | 0.315089 | − | 0.151739i | −0.269655 | − | 0.962957i | \(-0.586910\pi\) |
0.584743 | + | 0.811218i | \(0.301195\pi\) | |||||||
\(390\) | 1.95247 | + | 2.44832i | 0.0988670 | + | 0.123975i | ||||
\(391\) | −4.09338 | −0.207011 | ||||||||
\(392\) | 2.62231 | − | 10.8064i | 0.132447 | − | 0.545805i | ||||
\(393\) | −10.6025 | −0.534824 | ||||||||
\(394\) | −2.73918 | − | 3.43482i | −0.137998 | − | 0.173044i | ||||
\(395\) | −14.5291 | + | 6.99684i | −0.731038 | + | 0.352049i | ||||
\(396\) | −4.71782 | + | 20.6701i | −0.237079 | + | 1.03871i | ||||
\(397\) | −13.5776 | + | 6.53864i | −0.681441 | + | 0.328165i | −0.742382 | − | 0.669977i | \(-0.766304\pi\) |
0.0609410 | + | 0.998141i | \(0.480590\pi\) | |||||||
\(398\) | 0.625988 | + | 0.301460i | 0.0313779 | + | 0.0151108i | ||||
\(399\) | 23.7180 | − | 29.3281i | 1.18738 | − | 1.46824i | ||||
\(400\) | −15.5372 | + | 7.48232i | −0.776860 | + | 0.374116i | ||||
\(401\) | −13.7418 | + | 17.2317i | −0.686234 | + | 0.860510i | −0.995912 | − | 0.0903312i | \(-0.971207\pi\) |
0.309678 | + | 0.950842i | \(0.399779\pi\) | |||||||
\(402\) | 3.82720 | + | 1.84308i | 0.190883 | + | 0.0919246i | ||||
\(403\) | −4.29921 | − | 5.39104i | −0.214159 | − | 0.268547i | ||||
\(404\) | −5.44665 | − | 23.8633i | −0.270981 | − | 1.18724i | ||||
\(405\) | 21.7158 | + | 27.2308i | 1.07907 | + | 1.35311i | ||||
\(406\) | 1.54046 | − | 6.54286i | 0.0764518 | − | 0.324716i | ||||
\(407\) | 4.70603 | − | 5.90118i | 0.233269 | − | 0.292511i | ||||
\(408\) | −2.52992 | − | 1.21835i | −0.125250 | − | 0.0603171i | ||||
\(409\) | −4.36153 | − | 19.1091i | −0.215664 | − | 0.944884i | −0.960641 | − | 0.277794i | \(-0.910397\pi\) |
0.744977 | − | 0.667090i | \(-0.232460\pi\) | |||||||
\(410\) | 3.96034 | 0.195587 | ||||||||
\(411\) | −11.8766 | −0.585830 | ||||||||
\(412\) | 0.805915 | + | 3.53094i | 0.0397046 | + | 0.173957i | ||||
\(413\) | −13.7652 | − | 0.0940305i | −0.677342 | − | 0.00462694i | ||||
\(414\) | −1.12856 | + | 4.94454i | −0.0554657 | + | 0.243011i | ||||
\(415\) | 7.16223 | − | 31.3798i | 0.351580 | − | 1.54037i | ||||
\(416\) | −2.75622 | + | 3.45619i | −0.135135 | + | 0.169453i | ||||
\(417\) | 30.7860 | − | 38.6045i | 1.50760 | − | 1.89047i | ||||
\(418\) | −2.89392 | + | 12.6791i | −0.141546 | + | 0.620156i | ||||
\(419\) | −5.68098 | + | 24.8900i | −0.277534 | + | 1.21596i | 0.623366 | + | 0.781930i | \(0.285765\pi\) |
−0.900900 | + | 0.434026i | \(0.857093\pi\) | |||||||
\(420\) | 32.7665 | + | 16.0562i | 1.59884 | + | 0.783461i | ||||
\(421\) | −3.89438 | − | 17.0624i | −0.189801 | − | 0.831571i | −0.976721 | − | 0.214516i | \(-0.931183\pi\) |
0.786920 | − | 0.617055i | \(-0.211674\pi\) | |||||||
\(422\) | 7.83953 | 0.381623 | ||||||||
\(423\) | 29.0476 | 1.41234 | ||||||||
\(424\) | −2.07332 | − | 9.08382i | −0.100689 | − | 0.441149i | ||||
\(425\) | 3.98390 | + | 1.91854i | 0.193247 | + | 0.0930631i | ||||
\(426\) | 1.14292 | − | 1.43318i | 0.0553747 | − | 0.0694377i | ||||
\(427\) | 20.4503 | + | 26.0063i | 0.989658 | + | 1.25853i | ||||
\(428\) | −2.01929 | − | 2.53211i | −0.0976060 | − | 0.122394i | ||||
\(429\) | −2.58925 | − | 11.3443i | −0.125010 | − | 0.547706i | ||||
\(430\) | −0.776926 | − | 0.974235i | −0.0374667 | − | 0.0469818i | ||||
\(431\) | 2.85461 | + | 1.37471i | 0.137502 | + | 0.0662174i | 0.501370 | − | 0.865233i | \(-0.332830\pi\) |
−0.363868 | + | 0.931451i | \(0.618544\pi\) | |||||||
\(432\) | −3.03610 | + | 3.80715i | −0.146075 | + | 0.183172i | ||||
\(433\) | −29.8973 | + | 14.3978i | −1.43677 | + | 0.691912i | −0.980243 | − | 0.197797i | \(-0.936621\pi\) |
−0.456528 | + | 0.889709i | \(0.650907\pi\) | |||||||
\(434\) | 6.79890 | + | 3.33158i | 0.326358 | + | 0.159921i | ||||
\(435\) | 41.6173 | + | 20.0419i | 1.99540 | + | 0.960933i | ||||
\(436\) | 14.9107 | − | 7.18059i | 0.714091 | − | 0.343888i | ||||
\(437\) | 7.34628 | − | 32.1861i | 0.351420 | − | 1.53967i | ||||
\(438\) | −7.68280 | + | 3.69984i | −0.367098 | + | 0.176785i | ||||
\(439\) | 8.21384 | + | 10.2998i | 0.392025 | + | 0.491584i | 0.938203 | − | 0.346085i | \(-0.112489\pi\) |
−0.546178 | + | 0.837669i | \(0.683918\pi\) | |||||||
\(440\) | −26.3481 | −1.25610 | ||||||||
\(441\) | −3.35849 | − | 15.7002i | −0.159928 | − | 0.747629i | ||||
\(442\) | 0.318842 | 0.0151658 | ||||||||
\(443\) | 7.10300 | + | 8.90688i | 0.337474 | + | 0.423178i | 0.921392 | − | 0.388634i | \(-0.127053\pi\) |
−0.583919 | + | 0.811812i | \(0.698481\pi\) | |||||||
\(444\) | −5.65465 | + | 2.72314i | −0.268358 | + | 0.129234i | ||||
\(445\) | 10.3305 | − | 45.2608i | 0.489712 | − | 2.14557i | ||||
\(446\) | 2.19257 | − | 1.05589i | 0.103821 | − | 0.0499976i | ||||
\(447\) | −23.3115 | − | 11.2262i | −1.10260 | − | 0.530983i | ||||
\(448\) | −2.52109 | + | 10.7079i | −0.119111 | + | 0.505903i | ||||
\(449\) | −32.0070 | + | 15.4138i | −1.51050 | + | 0.727420i | −0.991832 | − | 0.127553i | \(-0.959288\pi\) |
−0.518672 | + | 0.854973i | \(0.673573\pi\) | |||||||
\(450\) | 3.41585 | − | 4.28334i | 0.161025 | − | 0.201919i | ||||
\(451\) | −13.2584 | − | 6.38491i | −0.624314 | − | 0.300654i | ||||
\(452\) | 9.37543 | + | 11.7564i | 0.440983 | + | 0.552975i | ||||
\(453\) | −8.77834 | − | 38.4604i | −0.412442 | − | 1.80703i | ||||
\(454\) | −5.32844 | − | 6.68166i | −0.250076 | − | 0.313586i | ||||
\(455\) | −8.67670 | − | 0.0592707i | −0.406770 | − | 0.00277866i | ||||
\(456\) | 14.1202 | − | 17.7062i | 0.661239 | − | 0.829168i | ||||
\(457\) | 25.9559 | + | 12.4997i | 1.21416 | + | 0.584711i | 0.927681 | − | 0.373374i | \(-0.121799\pi\) |
0.286484 | + | 0.958085i | \(0.407513\pi\) | |||||||
\(458\) | 2.18310 | + | 9.56479i | 0.102010 | + | 0.446933i | ||||
\(459\) | 1.24860 | 0.0582796 | ||||||||
\(460\) | 31.9378 | 1.48911 | ||||||||
\(461\) | 3.60008 | + | 15.7730i | 0.167673 | + | 0.734622i | 0.986924 | + | 0.161187i | \(0.0515322\pi\) |
−0.819251 | + | 0.573435i | \(0.805611\pi\) | |||||||
\(462\) | 7.89764 | + | 10.0433i | 0.367432 | + | 0.467257i | ||||
\(463\) | 0.281743 | − | 1.23440i | 0.0130937 | − | 0.0573673i | −0.967959 | − | 0.251108i | \(-0.919205\pi\) |
0.981053 | + | 0.193741i | \(0.0620621\pi\) | |||||||
\(464\) | −4.08151 | + | 17.8823i | −0.189479 | + | 0.830163i | ||||
\(465\) | −32.4400 | + | 40.6785i | −1.50437 | + | 1.88642i | ||||
\(466\) | 3.95345 | − | 4.95747i | 0.183140 | − | 0.229650i | ||||
\(467\) | 0.310324 | − | 1.35962i | 0.0143601 | − | 0.0629156i | −0.967240 | − | 0.253863i | \(-0.918299\pi\) |
0.981600 | + | 0.190947i | \(0.0611560\pi\) | |||||||
\(468\) | −0.932856 | + | 4.08711i | −0.0431213 | + | 0.188927i | ||||
\(469\) | −10.6392 | + | 5.03432i | −0.491271 | + | 0.232463i | ||||
\(470\) | 3.83562 | + | 16.8049i | 0.176924 | + | 0.775154i | ||||
\(471\) | −13.7608 | −0.634062 | ||||||||
\(472\) | −8.26516 | −0.380435 | ||||||||
\(473\) | 1.03032 | + | 4.51411i | 0.0473740 | + | 0.207559i | ||||
\(474\) | 4.23020 | + | 2.03716i | 0.194300 | + | 0.0935698i | ||||
\(475\) | −22.2353 | + | 27.8821i | −1.02022 | + | 1.27932i | ||||
\(476\) | 3.35822 | − | 1.58906i | 0.153924 | − | 0.0728347i | ||||
\(477\) | −8.38768 | − | 10.5178i | −0.384046 | − | 0.481578i | ||||
\(478\) | −2.04227 | − | 8.94779i | −0.0934114 | − | 0.409262i | ||||
\(479\) | 11.2425 | + | 14.0976i | 0.513682 | + | 0.644137i | 0.969254 | − | 0.246062i | \(-0.0791367\pi\) |
−0.455572 | + | 0.890199i | \(0.650565\pi\) | |||||||
\(480\) | 30.0529 | + | 14.4727i | 1.37172 | + | 0.660586i | ||||
\(481\) | 0.930525 | − | 1.16684i | 0.0424283 | − | 0.0532034i | ||||
\(482\) | −5.21173 | + | 2.50984i | −0.237388 | + | 0.114320i | ||||
\(483\) | −20.0483 | − | 25.4951i | −0.912229 | − | 1.16007i | ||||
\(484\) | 24.0052 | + | 11.5603i | 1.09114 | + | 0.525468i | ||||
\(485\) | 43.5827 | − | 20.9883i | 1.97899 | − | 0.953031i | ||||
\(486\) | 1.80627 | − | 7.91376i | 0.0819338 | − | 0.358976i | ||||
\(487\) | 16.9738 | − | 8.17414i | 0.769155 | − | 0.370405i | −0.00779358 | − | 0.999970i | \(-0.502481\pi\) |
0.776949 | + | 0.629564i | \(0.216767\pi\) | |||||||
\(488\) | 12.3852 | + | 15.5306i | 0.560652 | + | 0.703036i | ||||
\(489\) | −43.8791 | −1.98428 | ||||||||
\(490\) | 8.63959 | − | 4.01614i | 0.390297 | − | 0.181431i | ||||
\(491\) | 32.3399 | 1.45948 | 0.729740 | − | 0.683725i | \(-0.239641\pi\) | ||||
0.729740 | + | 0.683725i | \(0.239641\pi\) | |||||||
\(492\) | 7.62923 | + | 9.56676i | 0.343952 | + | 0.431303i | ||||
\(493\) | 4.23736 | − | 2.04060i | 0.190841 | − | 0.0919042i | ||||
\(494\) | −0.572217 | + | 2.50704i | −0.0257452 | + | 0.112797i | ||||
\(495\) | −34.2749 | + | 16.5059i | −1.54054 | + | 0.741885i | ||||
\(496\) | −18.6143 | − | 8.96419i | −0.835808 | − | 0.402504i | ||||
\(497\) | 1.09638 | + | 4.95948i | 0.0491795 | + | 0.222463i | ||||
\(498\) | −8.44325 | + | 4.06606i | −0.378351 | + | 0.182204i | ||||
\(499\) | −4.15094 | + | 5.20512i | −0.185822 | + | 0.233013i | −0.866013 | − | 0.500022i | \(-0.833325\pi\) |
0.680191 | + | 0.733035i | \(0.261897\pi\) | |||||||
\(500\) | −4.08032 | − | 1.96498i | −0.182477 | − | 0.0878764i | ||||
\(501\) | −8.22721 | − | 10.3166i | −0.367565 | − | 0.460911i | ||||
\(502\) | 0.928156 | + | 4.06652i | 0.0414256 | + | 0.181497i | ||||
\(503\) | −10.2232 | − | 12.8195i | −0.455831 | − | 0.571594i | 0.499807 | − | 0.866137i | \(-0.333404\pi\) |
−0.955638 | + | 0.294542i | \(0.904833\pi\) | |||||||
\(504\) | −2.08086 | − | 9.41279i | −0.0926890 | − | 0.419279i | ||||
\(505\) | 27.3831 | − | 34.3374i | 1.21853 | − | 1.52799i | ||||
\(506\) | 10.0755 | + | 4.85211i | 0.447911 | + | 0.215703i | ||||
\(507\) | −0.511974 | − | 2.24310i | −0.0227376 | − | 0.0996197i | ||||
\(508\) | −10.5650 | −0.468747 | ||||||||
\(509\) | −28.2616 | −1.25267 | −0.626337 | − | 0.779552i | \(-0.715447\pi\) | ||||
−0.626337 | + | 0.779552i | \(0.715447\pi\) | |||||||
\(510\) | −0.535351 | − | 2.34553i | −0.0237057 | − | 0.103862i | ||||
\(511\) | 5.41487 | − | 22.9988i | 0.239540 | − | 1.01741i | ||||
\(512\) | −5.06565 | + | 22.1941i | −0.223872 | + | 0.980848i | ||||
\(513\) | −2.24082 | + | 9.81769i | −0.0989348 | + | 0.433462i | ||||
\(514\) | −4.14615 | + | 5.19911i | −0.182879 | + | 0.229323i | ||||
\(515\) | −4.05176 | + | 5.08074i | −0.178542 | + | 0.223884i | ||||
\(516\) | 0.856724 | − | 3.75355i | 0.0377152 | − | 0.165241i | ||||
\(517\) | 14.2523 | − | 62.4434i | 0.626815 | − | 2.74626i | ||||
\(518\) | −0.375558 | + | 1.59512i | −0.0165011 | + | 0.0700857i | ||||
\(519\) | 7.03333 | + | 30.8150i | 0.308729 | + | 1.35263i | ||||
\(520\) | −5.20982 | −0.228466 | ||||||||
\(521\) | 13.3776 | 0.586084 | 0.293042 | − | 0.956100i | \(-0.405332\pi\) | ||||
0.293042 | + | 0.956100i | \(0.405332\pi\) | |||||||
\(522\) | −1.29666 | − | 5.68106i | −0.0567535 | − | 0.248653i | ||||
\(523\) | 15.3683 | + | 7.40096i | 0.672007 | + | 0.323621i | 0.738586 | − | 0.674160i | \(-0.235494\pi\) |
−0.0665787 | + | 0.997781i | \(0.521208\pi\) | |||||||
\(524\) | 5.25146 | − | 6.58512i | 0.229411 | − | 0.287672i | ||||
\(525\) | 7.56267 | + | 34.2097i | 0.330062 | + | 1.49303i | ||||
\(526\) | −1.74790 | − | 2.19179i | −0.0762119 | − | 0.0955667i | ||||
\(527\) | 1.17881 | + | 5.16471i | 0.0513498 | + | 0.224978i | ||||
\(528\) | −21.7376 | − | 27.2581i | −0.946006 | − | 1.18625i | ||||
\(529\) | −4.85456 | − | 2.33783i | −0.211068 | − | 0.101645i | ||||
\(530\) | 4.97733 | − | 6.24137i | 0.216201 | − | 0.271108i | ||||
\(531\) | −10.7517 | + | 5.17775i | −0.466584 | + | 0.224695i | ||||
\(532\) | 6.46787 | + | 29.2574i | 0.280418 | + | 1.26847i | ||||
\(533\) | −2.62159 | − | 1.26249i | −0.113554 | − | 0.0546845i | ||||
\(534\) | −12.1782 | + | 5.86470i | −0.527001 | + | 0.253790i | ||||
\(535\) | 1.29311 | − | 5.66548i | 0.0559060 | − | 0.244940i | ||||
\(536\) | −6.36722 | + | 3.06629i | −0.275022 | + | 0.132444i | ||||
\(537\) | 22.1326 | + | 27.7533i | 0.955090 | + | 1.19765i | ||||
\(538\) | −1.81608 | −0.0782967 | ||||||||
\(539\) | −35.3985 | − | 0.483638i | −1.52472 | − | 0.0208318i | ||||
\(540\) | −9.74193 | −0.419226 | ||||||||
\(541\) | −10.7530 | − | 13.4839i | −0.462309 | − | 0.579717i | 0.494960 | − | 0.868916i | \(-0.335183\pi\) |
−0.957269 | + | 0.289199i | \(0.906611\pi\) | |||||||
\(542\) | −11.7803 | + | 5.67310i | −0.506008 | + | 0.243681i | ||||
\(543\) | 9.46356 | − | 41.4625i | 0.406120 | − | 1.77933i | ||||
\(544\) | 3.05990 | − | 1.47357i | 0.131192 | − | 0.0631788i | ||||
\(545\) | 26.7542 | + | 12.8842i | 1.14603 | + | 0.551897i | ||||
\(546\) | 1.56160 | + | 1.98587i | 0.0668304 | + | 0.0849872i | ||||
\(547\) | −9.51115 | + | 4.58033i | −0.406667 | + | 0.195841i | −0.626024 | − | 0.779804i | \(-0.715319\pi\) |
0.219356 | + | 0.975645i | \(0.429604\pi\) | |||||||
\(548\) | 5.88254 | − | 7.37647i | 0.251290 | − | 0.315107i | ||||
\(549\) | 25.8405 | + | 12.4441i | 1.10284 | + | 0.531102i | ||||
\(550\) | −7.53187 | − | 9.44466i | −0.321160 | − | 0.402722i | ||||
\(551\) | 8.44055 | + | 36.9805i | 0.359579 | + | 1.57542i | ||||
\(552\) | −12.1418 | − | 15.2253i | −0.516788 | − | 0.648031i | ||||
\(553\) | −11.7595 | + | 5.56443i | −0.500064 | + | 0.236624i | ||||
\(554\) | −1.21104 | + | 1.51860i | −0.0514522 | + | 0.0645191i | ||||
\(555\) | −10.1461 | − | 4.88613i | −0.430680 | − | 0.207405i | ||||
\(556\) | 8.72848 | + | 38.2420i | 0.370170 | + | 1.62182i | ||||
\(557\) | −41.5895 | −1.76220 | −0.881101 | − | 0.472928i | \(-0.843197\pi\) | ||||
−0.881101 | + | 0.472928i | \(0.843197\pi\) | |||||||
\(558\) | 6.56364 | 0.277861 | ||||||||
\(559\) | 0.203725 | + | 0.892576i | 0.00861664 | + | 0.0377520i | ||||
\(560\) | −23.5001 | + | 11.1199i | −0.993059 | + | 0.469902i | ||||
\(561\) | −1.98924 | + | 8.71545i | −0.0839859 | + | 0.367966i | ||||
\(562\) | 2.01068 | − | 8.80939i | 0.0848156 | − | 0.371601i | ||||
\(563\) | 4.62499 | − | 5.79955i | 0.194920 | − | 0.244422i | −0.674761 | − | 0.738036i | \(-0.735753\pi\) |
0.869681 | + | 0.493615i | \(0.164325\pi\) | |||||||
\(564\) | −33.2058 | + | 41.6387i | −1.39821 | + | 1.75331i | ||||
\(565\) | −6.00383 | + | 26.3045i | −0.252583 | + | 1.10664i | ||||
\(566\) | −1.42402 | + | 6.23902i | −0.0598558 | + | 0.262245i | ||||
\(567\) | 17.3685 | + | 22.0873i | 0.729409 | + | 0.927578i | ||||
\(568\) | 0.678619 | + | 2.97323i | 0.0284742 | + | 0.124754i | ||||
\(569\) | −35.5673 | −1.49106 | −0.745530 | − | 0.666472i | \(-0.767804\pi\) | ||||
−0.745530 | + | 0.666472i | \(0.767804\pi\) | |||||||
\(570\) | 19.4036 | 0.812727 | ||||||||
\(571\) | 1.73556 | + | 7.60397i | 0.0726308 | + | 0.318216i | 0.998172 | − | 0.0604294i | \(-0.0192470\pi\) |
−0.925542 | + | 0.378646i | \(0.876390\pi\) | |||||||
\(572\) | 8.32831 | + | 4.01070i | 0.348224 | + | 0.167696i | ||||
\(573\) | −18.5615 | + | 23.2754i | −0.775418 | + | 0.972343i | ||||
\(574\) | 3.19488 | + | 0.0218243i | 0.133352 | + | 0.000910930i | ||||
\(575\) | 19.1198 | + | 23.9754i | 0.797350 | + | 0.999845i | ||||
\(576\) | 2.12210 | + | 9.29754i | 0.0884210 | + | 0.387398i | ||||
\(577\) | −21.8657 | − | 27.4187i | −0.910279 | − | 1.14145i | −0.989491 | − | 0.144596i | \(-0.953812\pi\) |
0.0792114 | − | 0.996858i | \(-0.474760\pi\) | |||||||
\(578\) | 6.13584 | + | 2.95486i | 0.255217 | + | 0.122906i | ||||
\(579\) | −5.94878 | + | 7.45954i | −0.247223 | + | 0.310008i | ||||
\(580\) | −33.0611 | + | 15.9214i | −1.37279 | + | 0.661100i | ||||
\(581\) | 5.95084 | − | 25.2752i | 0.246883 | − | 1.04859i | ||||
\(582\) | −12.6893 | − | 6.11083i | −0.525987 | − | 0.253302i | ||||
\(583\) | −26.7255 | + | 12.8703i | −1.10686 | + | 0.533034i | ||||
\(584\) | 3.15681 | − | 13.8309i | 0.130630 | − | 0.572327i | ||||
\(585\) | −6.77718 | + | 3.26372i | −0.280202 | + | 0.134938i | ||||
\(586\) | −2.96188 | − | 3.71409i | −0.122354 | − | 0.153427i | ||||
\(587\) | 41.3757 | 1.70776 | 0.853879 | − | 0.520471i | \(-0.174244\pi\) | ||||
0.853879 | + | 0.520471i | \(0.174244\pi\) | |||||||
\(588\) | 26.3449 | + | 13.1334i | 1.08645 | + | 0.541613i | ||||
\(589\) | −42.7255 | −1.76047 | ||||||||
\(590\) | −4.41521 | − | 5.53649i | −0.181771 | − | 0.227934i | ||||
\(591\) | 21.9440 | − | 10.5677i | 0.902656 | − | 0.434696i | ||||
\(592\) | 0.995057 | − | 4.35963i | 0.0408966 | − | 0.179180i | ||||
\(593\) | 3.25025 | − | 1.56524i | 0.133472 | − | 0.0642767i | −0.365956 | − | 0.930632i | \(-0.619258\pi\) |
0.499428 | + | 0.866356i | \(0.333544\pi\) | |||||||
\(594\) | −3.07332 | − | 1.48003i | −0.126100 | − | 0.0607264i | ||||
\(595\) | 5.98614 | + | 2.93331i | 0.245408 | + | 0.120254i | ||||
\(596\) | 18.5188 | − | 8.91821i | 0.758561 | − | 0.365304i | ||||
\(597\) | −2.40160 | + | 3.01151i | −0.0982909 | + | 0.123253i | ||||
\(598\) | 1.99223 | + | 0.959409i | 0.0814685 | + | 0.0392331i | ||||
\(599\) | −2.76242 | − | 3.46397i | −0.112870 | − | 0.141534i | 0.722187 | − | 0.691697i | \(-0.243137\pi\) |
−0.835057 | + | 0.550163i | \(0.814565\pi\) | |||||||
\(600\) | 4.68101 | + | 20.5088i | 0.191101 | + | 0.837270i | ||||
\(601\) | −2.83698 | − | 3.55746i | −0.115723 | − | 0.145112i | 0.720596 | − | 0.693355i | \(-0.243868\pi\) |
−0.836319 | + | 0.548243i | \(0.815297\pi\) | |||||||
\(602\) | −0.621393 | − | 0.790216i | −0.0253261 | − | 0.0322068i | ||||
\(603\) | −6.36188 | + | 7.97755i | −0.259076 | + | 0.324871i | ||||
\(604\) | 28.2354 | + | 13.5975i | 1.14888 | + | 0.553273i | ||||
\(605\) | 10.6380 | + | 46.6083i | 0.432498 | + | 1.89490i | ||||
\(606\) | −12.7872 | −0.519446 | ||||||||
\(607\) | 15.7737 | 0.640236 | 0.320118 | − | 0.947378i | \(-0.396277\pi\) | ||||
0.320118 | + | 0.947378i | \(0.396277\pi\) | |||||||
\(608\) | 6.09513 | + | 26.7045i | 0.247190 | + | 1.08301i | ||||
\(609\) | 33.4631 | + | 16.3975i | 1.35599 | + | 0.664461i | ||||
\(610\) | −3.78718 | + | 16.5927i | −0.153338 | + | 0.671819i | ||||
\(611\) | 2.81811 | − | 12.3469i | 0.114009 | − | 0.499504i | ||||
\(612\) | 2.00811 | − | 2.51808i | 0.0811728 | − | 0.101788i | ||||
\(613\) | −6.61502 | + | 8.29497i | −0.267178 | + | 0.335031i | −0.897264 | − | 0.441495i | \(-0.854448\pi\) |
0.630086 | + | 0.776526i | \(0.283020\pi\) | |||||||
\(614\) | −1.37414 | + | 6.02051i | −0.0554559 | + | 0.242968i | ||||
\(615\) | −4.88560 | + | 21.4052i | −0.197006 | + | 0.863142i | ||||
\(616\) | −21.2556 | − | 0.145197i | −0.856411 | − | 0.00585016i | ||||
\(617\) | −8.90012 | − | 38.9940i | −0.358305 | − | 1.56984i | −0.757414 | − | 0.652935i | \(-0.773538\pi\) |
0.399109 | − | 0.916904i | \(-0.369320\pi\) | |||||||
\(618\) | 1.89207 | 0.0761101 | ||||||||
\(619\) | −36.3724 | −1.46193 | −0.730964 | − | 0.682416i | \(-0.760929\pi\) | ||||
−0.730964 | + | 0.682416i | \(0.760929\pi\) | |||||||
\(620\) | −9.19743 | − | 40.2966i | −0.369377 | − | 1.61835i | ||||
\(621\) | 7.80167 | + | 3.75709i | 0.313070 | + | 0.150767i | ||||
\(622\) | 3.36666 | − | 4.22165i | 0.134991 | − | 0.169273i | ||||
\(623\) | 8.58323 | − | 36.4559i | 0.343880 | − | 1.46057i | ||||
\(624\) | −4.29818 | − | 5.38974i | −0.172065 | − | 0.215762i | ||||
\(625\) | 4.59541 | + | 20.1338i | 0.183816 | + | 0.805351i | ||||
\(626\) | −8.57316 | − | 10.7504i | −0.342652 | − | 0.429673i | ||||
\(627\) | −64.9593 | − | 31.2827i | −2.59422 | − | 1.24931i | ||||
\(628\) | 6.81577 | − | 8.54671i | 0.271979 | − | 0.341051i | ||||
\(629\) | −1.03305 | + | 0.497492i | −0.0411905 | + | 0.0198363i | ||||
\(630\) | 5.19366 | − | 6.42215i | 0.206920 | − | 0.255865i | ||||
\(631\) | −7.09408 | − | 3.41633i | −0.282411 | − | 0.136002i | 0.287316 | − | 0.957836i | \(-0.407237\pi\) |
−0.569727 | + | 0.821834i | \(0.692951\pi\) | |||||||
\(632\) | −7.03768 | + | 3.38917i | −0.279944 | + | 0.134814i | ||||
\(633\) | −9.67111 | + | 42.3719i | −0.384392 | + | 1.68413i | ||||
\(634\) | −1.79789 | + | 0.865816i | −0.0714032 | + | 0.0343859i | ||||
\(635\) | −11.8194 | − | 14.8211i | −0.469038 | − | 0.588156i | ||||
\(636\) | 24.6653 | 0.978042 | ||||||||
\(637\) | −6.99935 | − | 0.0956298i | −0.277324 | − | 0.00378899i | ||||
\(638\) | −12.8487 | −0.508686 | ||||||||
\(639\) | 2.74537 | + | 3.44259i | 0.108605 | + | 0.136187i | ||||
\(640\) | −31.2227 | + | 15.0361i | −1.23419 | + | 0.594352i | ||||
\(641\) | 6.14095 | − | 26.9053i | 0.242553 | − | 1.06269i | −0.696131 | − | 0.717915i | \(-0.745097\pi\) |
0.938684 | − | 0.344779i | \(-0.112046\pi\) | |||||||
\(642\) | −1.52439 | + | 0.734109i | −0.0601630 | + | 0.0289730i | ||||
\(643\) | −37.5777 | − | 18.0965i | −1.48192 | − | 0.713655i | −0.494122 | − | 0.869393i | \(-0.664510\pi\) |
−0.987799 | + | 0.155737i | \(0.950225\pi\) | |||||||
\(644\) | 25.7649 | + | 0.176000i | 1.01528 | + | 0.00693538i | ||||
\(645\) | 6.22408 | − | 2.99736i | 0.245073 | − | 0.118021i | ||||
\(646\) | 1.23178 | − | 1.54460i | 0.0484637 | − | 0.0607715i | ||||
\(647\) | 5.56408 | + | 2.67952i | 0.218747 | + | 0.105343i | 0.540048 | − | 0.841634i | \(-0.318406\pi\) |
−0.321302 | + | 0.946977i | \(0.604120\pi\) | |||||||
\(648\) | 10.5188 | + | 13.1902i | 0.413218 | + | 0.518159i | ||||
\(649\) | 5.85520 | + | 25.6533i | 0.229837 | + | 1.00698i | ||||
\(650\) | −1.48928 | − | 1.86750i | −0.0584143 | − | 0.0732492i | ||||
\(651\) | −26.3942 | + | 32.6374i | −1.03447 | + | 1.27916i | ||||
\(652\) | 21.7336 | − | 27.2530i | 0.851152 | − | 1.06731i | ||||
\(653\) | 20.0212 | + | 9.64168i | 0.783488 | + | 0.377308i | 0.782468 | − | 0.622691i | \(-0.213961\pi\) |
0.00102086 | + | 0.999999i | \(0.499675\pi\) | |||||||
\(654\) | −1.92387 | − | 8.42904i | −0.0752294 | − | 0.329601i | ||||
\(655\) | 15.1128 | 0.590507 | ||||||||
\(656\) | −8.71832 | −0.340393 | ||||||||
\(657\) | −4.55791 | − | 19.9695i | −0.177821 | − | 0.779084i | ||||
\(658\) | 3.00167 | + | 13.5780i | 0.117017 | + | 0.529327i | ||||
\(659\) | 1.06072 | − | 4.64732i | 0.0413198 | − | 0.181034i | −0.950057 | − | 0.312077i | \(-0.898975\pi\) |
0.991377 | + | 0.131043i | \(0.0418325\pi\) | |||||||
\(660\) | 15.5207 | − | 68.0005i | 0.604141 | − | 2.64692i | ||||
\(661\) | −21.5493 | + | 27.0220i | −0.838172 | + | 1.05103i | 0.159785 | + | 0.987152i | \(0.448920\pi\) |
−0.997957 | + | 0.0638829i | \(0.979652\pi\) | |||||||
\(662\) | 0.783196 | − | 0.982097i | 0.0304398 | − | 0.0381703i | ||||
\(663\) | −0.393334 | + | 1.72331i | −0.0152758 | + | 0.0669277i | ||||
\(664\) | 3.46928 | − | 15.1999i | 0.134634 | − | 0.589871i | ||||
\(665\) | −33.8077 | + | 41.8045i | −1.31101 | + | 1.62111i | ||||
\(666\) | 0.316122 | + | 1.38502i | 0.0122495 | + | 0.0536685i | ||||
\(667\) | 32.6167 | 1.26292 | ||||||||
\(668\) | 10.4825 | 0.405582 | ||||||||
\(669\) | 3.00213 | + | 13.1532i | 0.116069 | + | 0.508532i | ||||
\(670\) | −5.45532 | − | 2.62714i | −0.210757 | − | 0.101495i | ||||
\(671\) | 39.4297 | − | 49.4433i | 1.52217 | − | 1.90874i | ||||
\(672\) | 24.1645 | + | 11.8410i | 0.932167 | + | 0.456778i | ||||
\(673\) | 15.6063 | + | 19.5696i | 0.601577 | + | 0.754354i | 0.985623 | − | 0.168960i | \(-0.0540409\pi\) |
−0.384046 | + | 0.923314i | \(0.625469\pi\) | |||||||
\(674\) | 1.08759 | + | 4.76503i | 0.0418923 | + | 0.183542i | ||||
\(675\) | −5.83208 | − | 7.31319i | −0.224477 | − | 0.281485i | ||||
\(676\) | 1.64676 | + | 0.793037i | 0.0633369 | + | 0.0305014i | ||||
\(677\) | −18.2604 | + | 22.8978i | −0.701805 | + | 0.880036i | −0.997157 | − | 0.0753528i | \(-0.975992\pi\) |
0.295352 | + | 0.955389i | \(0.404563\pi\) | |||||||
\(678\) | 7.07766 | − | 3.40842i | 0.271816 | − | 0.130900i | ||||
\(679\) | 35.2747 | − | 16.6915i | 1.35372 | − | 0.640562i | ||||
\(680\) | 3.60617 | + | 1.73664i | 0.138290 | + | 0.0665971i | ||||
\(681\) | 42.6870 | − | 20.5570i | 1.63577 | − | 0.787746i | ||||
\(682\) | 3.22047 | − | 14.1098i | 0.123318 | − | 0.540292i | ||||
\(683\) | 39.2224 | − | 18.8885i | 1.50080 | − | 0.722748i | 0.510268 | − | 0.860016i | \(-0.329546\pi\) |
0.990534 | + | 0.137268i | \(0.0438321\pi\) | |||||||
\(684\) | 16.1957 | + | 20.3088i | 0.619260 | + | 0.776527i | ||||
\(685\) | 16.9290 | 0.646824 | ||||||||
\(686\) | 6.99186 | − | 3.19229i | 0.266951 | − | 0.121882i | ||||
\(687\) | −54.3899 | −2.07510 | ||||||||
\(688\) | 1.71033 | + | 2.14469i | 0.0652058 | + | 0.0817655i | ||||
\(689\) | −5.28444 | + | 2.54485i | −0.201321 | + | 0.0969512i | ||||
\(690\) | 3.71273 | − | 16.2665i | 0.141341 | − | 0.619257i | ||||
\(691\) | −23.9400 | + | 11.5289i | −0.910720 | + | 0.438579i | −0.829749 | − | 0.558137i | \(-0.811516\pi\) |
−0.0809708 | + | 0.996716i | \(0.525802\pi\) | |||||||
\(692\) | −22.6226 | − | 10.8945i | −0.859984 | − | 0.414147i | ||||
\(693\) | −27.7412 | + | 13.1268i | −1.05380 | + | 0.498645i | ||||
\(694\) | 9.20893 | − | 4.43479i | 0.349566 | − | 0.168342i | ||||
\(695\) | −43.8826 | + | 55.0271i | −1.66456 | + | 2.08730i | ||||
\(696\) | 20.1588 | + | 9.70798i | 0.764118 | + | 0.367980i | ||||
\(697\) | 1.39379 | + | 1.74776i | 0.0527936 | + | 0.0662011i | ||||
\(698\) | 2.50885 | + | 10.9920i | 0.0949614 | + | 0.416053i | ||||
\(699\) | 21.9175 | + | 27.4837i | 0.828996 | + | 1.03953i | ||||
\(700\) | −24.9932 | − | 12.2471i | −0.944656 | − | 0.462898i | ||||
\(701\) | −2.85189 | + | 3.57616i | −0.107714 | + | 0.135070i | −0.832766 | − | 0.553625i | \(-0.813244\pi\) |
0.725052 | + | 0.688694i | \(0.241816\pi\) | |||||||
\(702\) | −0.607688 | − | 0.292647i | −0.0229357 | − | 0.0110453i | ||||
\(703\) | −2.05777 | − | 9.01570i | −0.0776104 | − | 0.340033i | ||||
\(704\) | 21.0281 | 0.792525 | ||||||||
\(705\) | −95.5608 | −3.59903 | ||||||||
\(706\) | −0.129974 | − | 0.569455i | −0.00489165 | − | 0.0214317i | ||||
\(707\) | 22.2798 | − | 27.5498i | 0.837917 | − | 1.03612i | ||||
\(708\) | 4.86869 | − | 21.3311i | 0.182977 | − | 0.801672i | ||||
\(709\) | 7.12975 | − | 31.2375i | 0.267763 | − | 1.17315i | −0.644845 | − | 0.764313i | \(-0.723078\pi\) |
0.912608 | − | 0.408835i | \(-0.134065\pi\) | |||||||
\(710\) | −1.62913 | + | 2.04286i | −0.0611401 | + | 0.0766673i | ||||
\(711\) | −7.03179 | + | 8.81758i | −0.263713 | + | 0.330685i | ||||
\(712\) | 5.00394 | − | 21.9237i | 0.187530 | − | 0.821625i | ||||
\(713\) | −8.17521 | + | 35.8179i | −0.306164 | + | 1.34139i | ||||
\(714\) | −0.418953 | − | 1.89513i | −0.0156789 | − | 0.0709236i | ||||
\(715\) | 3.69074 | + | 16.1702i | 0.138026 | + | 0.604731i | ||||
\(716\) | −28.1998 | −1.05387 | ||||||||
\(717\) | 50.8813 | 1.90020 | ||||||||
\(718\) | −1.11706 | − | 4.89418i | −0.0416885 | − | 0.182649i | ||||
\(719\) | 21.4765 | + | 10.3425i | 0.800938 | + | 0.385712i | 0.789136 | − | 0.614219i | \(-0.210529\pi\) |
0.0118026 | + | 0.999930i | \(0.496243\pi\) | |||||||
\(720\) | −14.0523 | + | 17.6210i | −0.523697 | + | 0.656696i | ||||
\(721\) | −3.29663 | + | 4.07641i | −0.122773 | + | 0.151813i | ||||
\(722\) | 5.01815 | + | 6.29256i | 0.186756 | + | 0.234185i | ||||
\(723\) | −7.13605 | − | 31.2651i | −0.265393 | − | 1.16276i | ||||
\(724\) | 21.0647 | + | 26.4144i | 0.782865 | + | 0.981682i | ||||
\(725\) | −31.7444 | − | 15.2873i | −1.17896 | − | 0.567755i | ||||
\(726\) | 8.67846 | − | 10.8825i | 0.322088 | − | 0.403886i | ||||
\(727\) | −6.44305 | + | 3.10281i | −0.238960 | + | 0.115077i | −0.549531 | − | 0.835473i | \(-0.685194\pi\) |
0.310572 | + | 0.950550i | \(0.399479\pi\) | |||||||
\(728\) | −4.20287 | − | 0.0287099i | −0.155769 | − | 0.00106406i | ||||
\(729\) | 11.8396 | + | 5.70163i | 0.438502 | + | 0.211171i | ||||
\(730\) | 10.9511 | − | 5.27378i | 0.405319 | − | 0.195191i | ||||
\(731\) | 0.156515 | − | 0.685739i | 0.00578893 | − | 0.0253630i | ||||
\(732\) | −47.3777 | + | 22.8159i | −1.75113 | + | 0.843300i | ||||
\(733\) | −21.5164 | − | 26.9807i | −0.794725 | − | 0.996554i | −0.999841 | − | 0.0178159i | \(-0.994329\pi\) |
0.205116 | − | 0.978738i | \(-0.434243\pi\) | |||||||
\(734\) | −4.17041 | −0.153933 | ||||||||
\(735\) | 11.0488 | + | 51.6505i | 0.407540 | + | 1.90516i | ||||
\(736\) | 23.5533 | 0.868188 | ||||||||
\(737\) | 14.0278 | + | 17.5903i | 0.516720 | + | 0.647946i | ||||
\(738\) | 2.49545 | − | 1.20175i | 0.0918589 | − | 0.0442369i | ||||
\(739\) | −0.573816 | + | 2.51405i | −0.0211082 | + | 0.0924810i | −0.984385 | − | 0.176030i | \(-0.943674\pi\) |
0.963277 | + | 0.268511i | \(0.0865316\pi\) | |||||||
\(740\) | 8.06018 | − | 3.88158i | 0.296298 | − | 0.142690i | ||||
\(741\) | −12.8444 | − | 6.18555i | −0.471852 | − | 0.227232i | ||||
\(742\) | 4.04971 | − | 5.00761i | 0.148669 | − | 0.183835i | ||||
\(743\) | 42.9052 | − | 20.6620i | 1.57404 | − | 0.758017i | 0.575813 | − | 0.817581i | \(-0.304686\pi\) |
0.998224 | + | 0.0595648i | \(0.0189713\pi\) | |||||||
\(744\) | −15.7135 | + | 19.7041i | −0.576084 | + | 0.722387i | ||||
\(745\) | 33.2284 | + | 16.0020i | 1.21739 | + | 0.586266i | ||||
\(746\) | −6.23717 | − | 7.82116i | −0.228359 | − | 0.286353i | ||||
\(747\) | −5.00905 | − | 21.9461i | −0.183272 | − | 0.802966i | ||||
\(748\) | −4.42782 | − | 5.55231i | −0.161897 | − | 0.203013i | ||||
\(749\) | 1.07440 | − | 4.56334i | 0.0392577 | − | 0.166741i | ||||
\(750\) | −1.47514 | + | 1.84976i | −0.0538643 | + | 0.0675437i | ||||
\(751\) | 7.21698 | + | 3.47551i | 0.263351 | + | 0.126823i | 0.560901 | − | 0.827883i | \(-0.310455\pi\) |
−0.297549 | + | 0.954706i | \(0.596169\pi\) | |||||||
\(752\) | −8.44376 | − | 36.9945i | −0.307912 | − | 1.34905i | ||||
\(753\) | −23.1241 | −0.842689 | ||||||||
\(754\) | −2.54058 | −0.0925226 | ||||||||
\(755\) | 12.5127 | + | 54.8217i | 0.455384 | + | 1.99517i | ||||
\(756\) | −7.85902 | − | 0.0536851i | −0.285830 | − | 0.00195251i | ||||
\(757\) | −2.90450 | + | 12.7254i | −0.105566 | + | 0.462514i | 0.894320 | + | 0.447427i | \(0.147660\pi\) |
−0.999886 | + | 0.0150866i | \(0.995198\pi\) | |||||||
\(758\) | −1.89960 | + | 8.32268i | −0.0689965 | + | 0.302294i | ||||
\(759\) | −38.6546 | + | 48.4714i | −1.40307 | + | 1.75940i | ||||
\(760\) | −20.1270 | + | 25.2385i | −0.730084 | + | 0.915497i | ||||
\(761\) | 0.160779 | − | 0.704421i | 0.00582825 | − | 0.0255352i | −0.971930 | − | 0.235269i | \(-0.924403\pi\) |
0.977758 | + | 0.209734i | \(0.0672599\pi\) | |||||||
\(762\) | −1.22817 | + | 5.38098i | −0.0444920 | + | 0.194932i | ||||
\(763\) | 21.5122 | + | 10.5413i | 0.778793 | + | 0.381622i | ||||
\(764\) | −5.26257 | − | 23.0568i | −0.190393 | − | 0.834167i | ||||
\(765\) | 5.77900 | 0.208940 | ||||||||
\(766\) | 15.3697 | 0.555330 | ||||||||
\(767\) | 1.15775 | + | 5.07244i | 0.0418040 | + | 0.183155i | ||||
\(768\) | −8.14747 | − | 3.92361i | −0.293996 | − | 0.141581i | ||||
\(769\) | −16.7216 | + | 20.9683i | −0.602997 | + | 0.756135i | −0.985842 | − | 0.167678i | \(-0.946373\pi\) |
0.382845 | + | 0.923813i | \(0.374944\pi\) | |||||||
\(770\) | −11.2574 | − | 14.3158i | −0.405687 | − | 0.515906i | ||||
\(771\) | −22.9858 | − | 28.8233i | −0.827815 | − | 1.03805i | ||||
\(772\) | −1.68660 | − | 7.38949i | −0.0607022 | − | 0.265954i | ||||
\(773\) | 11.3736 | + | 14.2620i | 0.409080 | + | 0.512970i | 0.943103 | − | 0.332500i | \(-0.107892\pi\) |
−0.534023 | + | 0.845470i | \(0.679321\pi\) | |||||||
\(774\) | −0.785177 | − | 0.378121i | −0.0282226 | − | 0.0135913i | ||||
\(775\) | 24.7442 | − | 31.0283i | 0.888838 | − | 1.11457i | ||||
\(776\) | 21.1108 | − | 10.1664i | 0.757834 | − | 0.364954i | ||||
\(777\) | −8.15818 | − | 3.99765i | −0.292673 | − | 0.143415i | ||||
\(778\) | 2.57911 | + | 1.24203i | 0.0924654 | + | 0.0445290i | ||||
\(779\) | −16.2440 | + | 7.82269i | −0.582001 | + | 0.280277i | ||||
\(780\) | 3.06891 | − | 13.4458i | 0.109884 | − | 0.481435i | ||||
\(781\) | 8.74752 | − | 4.21258i | 0.313011 | − | 0.150738i | ||||
\(782\) | −1.05919 | − | 1.32818i | −0.0378765 | − | 0.0474956i | ||||
\(783\) | −9.94904 | −0.355550 | ||||||||
\(784\) | −19.0193 | + | 8.84117i | −0.679259 | + | 0.315756i | ||||
\(785\) | 19.6147 | 0.700078 | ||||||||
\(786\) | −2.74346 | − | 3.44018i | −0.0978558 | − | 0.122707i | ||||
\(787\) | 35.7430 | − | 17.2129i | 1.27410 | − | 0.613574i | 0.330232 | − | 0.943900i | \(-0.392873\pi\) |
0.943867 | + | 0.330326i | \(0.107159\pi\) | |||||||
\(788\) | −4.30547 | + | 18.8635i | −0.153376 | + | 0.671984i | ||||
\(789\) | 14.0027 | − | 6.74334i | 0.498509 | − | 0.240069i | ||||
\(790\) | −6.02976 | − | 2.90378i | −0.214529 | − | 0.103312i | ||||
\(791\) | −4.98837 | + | 21.1873i | −0.177366 | + | 0.753333i | ||||
\(792\) | −16.6022 | + | 7.99522i | −0.589935 | + | 0.284098i | ||||
\(793\) | 7.79644 | − | 9.77643i | 0.276860 | − | 0.347171i | ||||
\(794\) | −5.63489 | − | 2.71362i | −0.199975 | − | 0.0963028i | ||||
\(795\) | 27.5938 | + | 34.6015i | 0.978651 | + | 1.22719i | ||||
\(796\) | −0.680903 | − | 2.98323i | −0.0241340 | − | 0.105738i | ||||
\(797\) | 16.5304 | + | 20.7285i | 0.585537 | + | 0.734241i | 0.983046 | − | 0.183358i | \(-0.0586967\pi\) |
−0.397509 | + | 0.917598i | \(0.630125\pi\) | |||||||
\(798\) | 15.6533 | + | 0.106928i | 0.554120 | + | 0.00378521i | ||||
\(799\) | −6.06639 | + | 7.60701i | −0.214613 | + | 0.269117i | ||||
\(800\) | −22.9234 | − | 11.0393i | −0.810464 | − | 0.390299i | ||||
\(801\) | −7.22484 | − | 31.6541i | −0.255277 | − | 1.11844i | ||||
\(802\) | −9.14696 | −0.322990 | ||||||||
\(803\) | −45.1646 | −1.59382 | ||||||||
\(804\) | −4.16295 | − | 18.2391i | −0.146816 | − | 0.643242i | ||||
\(805\) | 28.5770 | + | 36.3409i | 1.00721 | + | 1.28085i | ||||
\(806\) | 0.636784 | − | 2.78993i | 0.0224298 | − | 0.0982712i | ||||
\(807\) | 2.24037 | − | 9.81572i | 0.0788649 | − | 0.345530i | ||||
\(808\) | 13.2640 | − | 16.6325i | 0.466626 | − | 0.585130i | ||||
\(809\) | −14.8361 | + | 18.6039i | −0.521611 | + | 0.654079i | −0.970950 | − | 0.239282i | \(-0.923088\pi\) |
0.449339 | + | 0.893361i | \(0.351659\pi\) | |||||||
\(810\) | −3.21647 | + | 14.0923i | −0.113015 | + | 0.495152i | ||||
\(811\) | 7.82855 | − | 34.2991i | 0.274898 | − | 1.20441i | −0.629256 | − | 0.777198i | \(-0.716640\pi\) |
0.904154 | − | 0.427207i | \(-0.140502\pi\) | |||||||
\(812\) | −26.7588 | + | 12.6619i | −0.939051 | + | 0.444347i | ||||
\(813\) | −16.1300 | − | 70.6700i | −0.565702 | − | 2.47850i | ||||
\(814\) | 3.13247 | 0.109793 | ||||||||
\(815\) | 62.5456 | 2.19088 | ||||||||
\(816\) | 1.17853 | + | 5.16346i | 0.0412567 | + | 0.180757i | ||||
\(817\) | 5.11105 | + | 2.46135i | 0.178813 | + | 0.0861119i | ||||
\(818\) | 5.07176 | − | 6.35979i | 0.177330 | − | 0.222365i | ||||
\(819\) | −5.48527 | + | 2.59556i | −0.191671 | + | 0.0906962i | ||||
\(820\) | −10.8748 | − | 13.6365i | −0.379763 | − | 0.476208i | ||||
\(821\) | −7.38406 | − | 32.3517i | −0.257705 | − | 1.12908i | −0.923698 | − | 0.383122i | \(-0.874849\pi\) |
0.665992 | − | 0.745959i | \(-0.268008\pi\) | |||||||
\(822\) | −3.07315 | − | 3.85360i | −0.107188 | − | 0.134410i | ||||
\(823\) | 22.4686 | + | 10.8203i | 0.783206 | + | 0.377172i | 0.782359 | − | 0.622828i | \(-0.214016\pi\) |
0.000846741 | 1.00000i | \(0.499730\pi\) | ||||||||
\(824\) | −1.96261 | + | 2.46104i | −0.0683708 | + | 0.0857343i | ||||
\(825\) | 60.3390 | − | 29.0577i | 2.10073 | − | 1.01166i | ||||
\(826\) | −3.53133 | − | 4.49073i | −0.122871 | − | 0.156253i | ||||
\(827\) | 41.4775 | + | 19.9745i | 1.44231 | + | 0.694581i | 0.981242 | − | 0.192781i | \(-0.0617508\pi\) |
0.461072 | + | 0.887363i | \(0.347465\pi\) | |||||||
\(828\) | 20.1244 | − | 9.69138i | 0.699370 | − | 0.336799i | ||||
\(829\) | 3.55881 | − | 15.5921i | 0.123602 | − | 0.541538i | −0.874772 | − | 0.484535i | \(-0.838989\pi\) |
0.998374 | − | 0.0570022i | \(-0.0181542\pi\) | |||||||
\(830\) | 12.0351 | − | 5.79579i | 0.417744 | − | 0.201175i | ||||
\(831\) | −6.71389 | − | 8.41895i | −0.232902 | − | 0.292050i | ||||
\(832\) | 4.15788 | 0.144149 | ||||||||
\(833\) | 4.81298 | + | 2.39935i | 0.166760 | + | 0.0831327i | ||||
\(834\) | 20.4921 | 0.709583 | ||||||||
\(835\) | 11.7271 | + | 14.7053i | 0.405834 | + | 0.508899i | ||||
\(836\) | 51.6041 | − | 24.8512i | 1.78477 | − | 0.859498i | ||||
\(837\) | 2.49367 | − | 10.9255i | 0.0861939 | − | 0.377640i | ||||
\(838\) | −9.54605 | + | 4.59714i | −0.329763 | + | 0.158805i | ||||
\(839\) | −9.92628 | − | 4.78024i | −0.342693 | − | 0.165032i | 0.254618 | − | 0.967042i | \(-0.418050\pi\) |
−0.597312 | + | 0.802009i | \(0.703764\pi\) | |||||||
\(840\) | 6.84562 | + | 30.9662i | 0.236196 | + | 1.06843i | ||||
\(841\) | −7.63587 | + | 3.67724i | −0.263306 | + | 0.126801i | ||||
\(842\) | 4.52855 | − | 5.67862i | 0.156064 | − | 0.195698i | ||||
\(843\) | 45.1334 | + | 21.7351i | 1.55448 | + | 0.748596i | ||||
\(844\) | −21.5267 | − | 26.9937i | −0.740981 | − | 0.929160i | ||||
\(845\) | 0.729771 | + | 3.19734i | 0.0251049 | + | 0.109992i | ||||
\(846\) | 7.51626 | + | 9.42509i | 0.258414 | + | 0.324041i | ||||
\(847\) | 8.32508 | + | 37.6585i | 0.286053 | + | 1.29396i | ||||
\(848\) | −10.9571 | + | 13.7398i | −0.376269 | + | 0.471827i | ||||
\(849\) | −31.9645 | − | 15.3933i | −1.09702 | − | 0.528297i | ||||
\(850\) | 0.408349 | + | 1.78909i | 0.0140062 | + | 0.0613653i | ||||
\(851\) | −7.95184 | −0.272585 | ||||||||
\(852\) | −8.07319 | −0.276583 | ||||||||
\(853\) | −3.43766 | − | 15.0614i | −0.117703 | − | 0.515692i | −0.999064 | − | 0.0432485i | \(-0.986229\pi\) |
0.881361 | − | 0.472443i | \(-0.156628\pi\) | |||||||
\(854\) | −3.14663 | + | 13.3648i | −0.107675 | + | 0.457334i | ||||
\(855\) | −10.3714 | + | 45.4401i | −0.354695 | + | 1.55402i | ||||
\(856\) | 0.626364 | − | 2.74428i | 0.0214087 | − | 0.0937975i | ||||
\(857\) | 33.3180 | − | 41.7794i | 1.13812 | − | 1.42716i | 0.249581 | − | 0.968354i | \(-0.419707\pi\) |
0.888538 | − | 0.458803i | \(-0.151722\pi\) | |||||||
\(858\) | 3.01089 | − | 3.77553i | 0.102790 | − | 0.128895i | ||||
\(859\) | 6.15312 | − | 26.9586i | 0.209942 | − | 0.919814i | −0.754663 | − | 0.656113i | \(-0.772199\pi\) |
0.964604 | − | 0.263701i | \(-0.0849434\pi\) | |||||||
\(860\) | −1.22118 | + | 5.35034i | −0.0416419 | + | 0.182445i | ||||
\(861\) | −4.05927 | + | 17.2411i | −0.138340 | + | 0.587575i | ||||
\(862\) | 0.292597 | + | 1.28195i | 0.00996590 | + | 0.0436635i | ||||
\(863\) | −12.9724 | −0.441584 | −0.220792 | − | 0.975321i | \(-0.570864\pi\) | ||||
−0.220792 | + | 0.975321i | \(0.570864\pi\) | |||||||
\(864\) | −7.18444 | −0.244420 | ||||||||
\(865\) | −10.0254 | − | 43.9240i | −0.340873 | − | 1.49346i | ||||
\(866\) | −12.4078 | − | 5.97526i | −0.421633 | − | 0.203048i | ||||
\(867\) | −23.5401 | + | 29.5184i | −0.799464 | + | 1.00250i | ||||
\(868\) | −7.19769 | − | 32.5587i | −0.244305 | − | 1.10512i | ||||
\(869\) | 15.5049 | + | 19.4425i | 0.525968 | + | 0.659543i | ||||
\(870\) | 4.26577 | + | 18.6895i | 0.144623 | + | 0.633635i | ||||
\(871\) | 2.77372 | + | 3.47813i | 0.0939839 | + | 0.117852i | ||||
\(872\) | 12.9594 | + | 6.24090i | 0.438859 | + | 0.211344i | ||||
\(873\) | 21.0931 | − | 26.4500i | 0.713895 | − | 0.895196i | ||||
\(874\) | 12.3443 | − | 5.94472i | 0.417554 | − | 0.201083i | ||||
\(875\) | −1.41507 | − | 6.40106i | −0.0478380 | − | 0.216395i | ||||
\(876\) | 33.8359 | + | 16.2945i | 1.14321 | + | 0.550541i | ||||
\(877\) | −4.23619 | + | 2.04004i | −0.143046 | + | 0.0688873i | −0.504037 | − | 0.863682i | \(-0.668153\pi\) |
0.360991 | + | 0.932569i | \(0.382438\pi\) | |||||||
\(878\) | −1.21660 | + | 5.33029i | −0.0410584 | + | 0.179889i | ||||
\(879\) | 23.7281 | − | 11.4269i | 0.800330 | − | 0.385419i | ||||
\(880\) | 30.9849 | + | 38.8538i | 1.04450 | + | 1.30976i | ||||
\(881\) | −34.1524 | −1.15062 | −0.575311 | − | 0.817935i | \(-0.695119\pi\) | ||||
−0.575311 | + | 0.817935i | \(0.695119\pi\) | |||||||
\(882\) | 4.22522 | − | 5.15226i | 0.142271 | − | 0.173486i | ||||
\(883\) | 1.20694 | 0.0406167 | 0.0203083 | − | 0.999794i | \(-0.493535\pi\) | ||||
0.0203083 | + | 0.999794i | \(0.493535\pi\) | |||||||
\(884\) | −0.875514 | − | 1.09786i | −0.0294467 | − | 0.0369250i | ||||
\(885\) | 35.3709 | − | 17.0337i | 1.18898 | − | 0.572583i | ||||
\(886\) | −1.05207 | + | 4.60942i | −0.0353450 | + | 0.154857i | ||||
\(887\) | 29.7819 | − | 14.3422i | 0.999978 | − | 0.481564i | 0.139047 | − | 0.990286i | \(-0.455596\pi\) |
0.860931 | + | 0.508722i | \(0.169882\pi\) | |||||||
\(888\) | −4.91465 | − | 2.36677i | −0.164925 | − | 0.0794236i | ||||
\(889\) | −9.45328 | − | 12.0216i | −0.317053 | − | 0.403191i | ||||
\(890\) | 17.3589 | − | 8.35959i | 0.581870 | − | 0.280214i | ||||
\(891\) | 33.4878 | − | 41.9924i | 1.12188 | − | 1.40680i | ||||
\(892\) | −9.65632 | − | 4.65024i | −0.323317 | − | 0.155702i | ||||
\(893\) | −48.9265 | − | 61.3519i | −1.63726 | − | 2.05306i | ||||
\(894\) | −2.38942 | − | 10.4688i | −0.0799143 | − | 0.350127i | ||||
\(895\) | −31.5479 | − | 39.5598i | −1.05453 | − | 1.32234i | ||||
\(896\) | −25.2708 | + | 11.9578i | −0.844240 | + | 0.399483i | ||||
\(897\) | −7.64319 | + | 9.58426i | −0.255199 | + | 0.320009i | ||||
\(898\) | −13.2833 | − | 6.39691i | −0.443270 | − | 0.213468i | ||||
\(899\) | −9.39295 | − | 41.1532i | −0.313273 | − | 1.37254i | ||||
\(900\) | −24.1284 | −0.804280 | ||||||||
\(901\) | 4.50612 | 0.150121 | ||||||||
\(902\) | −1.35898 | − | 5.95409i | −0.0452492 | − | 0.198250i | ||||
\(903\) | 5.03761 | − | 2.38373i | 0.167641 | − | 0.0793256i | ||||
\(904\) | −2.90817 | + | 12.7415i | −0.0967242 | + | 0.423776i | ||||
\(905\) | −13.4894 | + | 59.1010i | −0.448404 | + | 1.96458i | ||||
\(906\) | 10.2078 | − | 12.8002i | 0.339132 | − | 0.425258i | ||||
\(907\) | 30.8828 | − | 38.7258i | 1.02545 | − | 1.28587i | 0.0678683 | − | 0.997694i | \(-0.478380\pi\) |
0.957578 | − | 0.288175i | \(-0.0930484\pi\) | |||||||
\(908\) | −8.37530 | + | 36.6946i | −0.277944 | + | 1.21775i | ||||
\(909\) | 6.83490 | − | 29.9457i | 0.226699 | − | 0.993235i | ||||
\(910\) | −2.22592 | − | 2.83067i | −0.0737885 | − | 0.0938357i | ||||
\(911\) | −1.11499 | − | 4.88511i | −0.0369414 | − | 0.161851i | 0.953093 | − | 0.302678i | \(-0.0978808\pi\) |
−0.990034 | + | 0.140828i | \(0.955024\pi\) | |||||||
\(912\) | −42.7152 | −1.41444 | ||||||||
\(913\) | −49.6350 | −1.64268 | ||||||||
\(914\) | 2.66047 | + | 11.6563i | 0.0880006 | + | 0.385556i | ||||
\(915\) | −85.0099 | − | 40.9386i | −2.81034 | − | 1.35339i | ||||
\(916\) | 26.9396 | − | 33.7812i | 0.890109 | − | 1.11616i | ||||
\(917\) | 12.1918 | + | 0.0832827i | 0.402610 | + | 0.00275024i | ||||
\(918\) | 0.323083 | + | 0.405133i | 0.0106633 | + | 0.0133714i | ||||
\(919\) | 1.86482 | + | 8.17032i | 0.0615148 | + | 0.269514i | 0.996327 | − | 0.0856281i | \(-0.0272897\pi\) |
−0.934812 | + | 0.355142i | \(0.884433\pi\) | |||||||
\(920\) | 17.3070 | + | 21.7022i | 0.570593 | + | 0.715501i | ||||
\(921\) | −30.8451 | − | 14.8542i | −1.01638 | − | 0.489463i | ||||
\(922\) | −4.18632 | + | 5.24948i | −0.137869 | + | 0.172883i | ||||
\(923\) | 1.72965 | − | 0.832956i | 0.0569321 | − | 0.0274171i | ||||
\(924\) | 12.8956 | − | 54.7719i | 0.424233 | − | 1.80186i | ||||
\(925\) | 7.73915 | + | 3.72698i | 0.254462 | + | 0.122542i | ||||
\(926\) | 0.473428 | − | 0.227991i | 0.0155578 | − | 0.00749225i | ||||
\(927\) | −1.01133 | + | 4.43092i | −0.0332164 | + | 0.145531i | ||||
\(928\) | −24.3818 | + | 11.7416i | −0.800371 | + | 0.385439i | ||||
\(929\) | 11.2246 | + | 14.0752i | 0.368266 | + | 0.461791i | 0.931092 | − | 0.364784i | \(-0.118857\pi\) |
−0.562826 | + | 0.826575i | \(0.690286\pi\) | |||||||
\(930\) | −21.5930 | −0.708064 | ||||||||
\(931\) | −27.5038 | + | 33.5383i | −0.901400 | + | 1.09917i | ||||
\(932\) | −27.9258 | −0.914739 | ||||||||
\(933\) | 18.6644 | + | 23.4044i | 0.611045 | + | 0.766226i | ||||
\(934\) | 0.521453 | − | 0.251119i | 0.0170625 | − | 0.00821686i | ||||
\(935\) | 2.83548 | − | 12.4231i | 0.0927302 | − | 0.406278i | ||||
\(936\) | −3.28277 | + | 1.58090i | −0.107301 | + | 0.0516732i | ||||
\(937\) | 44.5646 | + | 21.4612i | 1.45586 | + | 0.701106i | 0.983602 | − | 0.180354i | \(-0.0577242\pi\) |
0.472260 | + | 0.881459i | \(0.343438\pi\) | |||||||
\(938\) | −4.38644 | − | 2.14943i | −0.143222 | − | 0.0701815i | ||||
\(939\) | 68.6810 | − | 33.0750i | 2.24132 | − | 1.07936i | ||||
\(940\) | 47.3317 | − | 59.3521i | 1.54379 | − | 1.93585i | ||||
\(941\) | −12.2218 | − | 5.88571i | −0.398419 | − | 0.191869i | 0.223935 | − | 0.974604i | \(-0.428110\pi\) |
−0.622355 | + | 0.782735i | \(0.713824\pi\) | |||||||
\(942\) | −3.56068 | − | 4.46496i | −0.116013 | − | 0.145476i | ||||
\(943\) | 3.44980 | + | 15.1146i | 0.112341 | + | 0.492198i | ||||
\(944\) | 9.71967 | + | 12.1881i | 0.316348 | + | 0.396688i | ||||
\(945\) | −8.71680 | − | 11.0850i | −0.283557 | − | 0.360596i | ||||
\(946\) | −1.19809 | + | 1.50236i | −0.0389534 | + | 0.0488460i | ||||
\(947\) | −6.48609 | − | 3.12354i | −0.210770 | − | 0.101501i | 0.325521 | − | 0.945535i | \(-0.394460\pi\) |
−0.536290 | + | 0.844034i | \(0.680175\pi\) | |||||||
\(948\) | −4.60130 | − | 20.1596i | −0.149443 | − | 0.654754i | ||||
\(949\) | −8.93041 | −0.289893 | ||||||||
\(950\) | −14.8004 | −0.480189 | ||||||||
\(951\) | −2.46172 | − | 10.7855i | −0.0798267 | − | 0.349743i | ||||
\(952\) | 2.89960 | + | 1.42086i | 0.0939766 | + | 0.0460502i | ||||
\(953\) | 9.02740 | − | 39.5516i | 0.292426 | − | 1.28120i | −0.588712 | − | 0.808343i | \(-0.700365\pi\) |
0.881138 | − | 0.472860i | \(-0.156778\pi\) | |||||||
\(954\) | 1.24235 | − | 5.44311i | 0.0402227 | − | 0.176227i | ||||
\(955\) | 26.4577 | − | 33.1769i | 0.856151 | − | 1.07358i | ||||
\(956\) | −25.2018 | + | 31.6020i | −0.815083 | + | 1.02208i | ||||
\(957\) | 15.8506 | − | 69.4461i | 0.512378 | − | 2.24487i | ||||
\(958\) | −1.66520 | + | 7.29570i | −0.0538000 | + | 0.235713i | ||||
\(959\) | 13.6570 | + | 0.0932911i | 0.441007 | + | 0.00301253i | ||||
\(960\) | −6.98129 | − | 30.5870i | −0.225320 | − | 0.987192i | ||||
\(961\) | 16.5465 | 0.533759 | ||||||||
\(962\) | 0.619385 | 0.0199698 | ||||||||
\(963\) | −0.904363 | − | 3.96227i | −0.0291427 | − | 0.127683i | ||||
\(964\) | 22.9531 | + | 11.0536i | 0.739268 | + | 0.356013i | ||||
\(965\) | 8.47944 | − | 10.6329i | 0.272963 | − | 0.342285i | ||||
\(966\) | 3.08478 | − | 13.1021i | 0.0992511 | − | 0.421553i | ||||
\(967\) | 10.7668 | + | 13.5011i | 0.346235 | + | 0.434166i | 0.924207 | − | 0.381891i | \(-0.124727\pi\) |
−0.577972 | + | 0.816057i | \(0.696156\pi\) | |||||||
\(968\) | 5.15291 | + | 22.5764i | 0.165621 | + | 0.725633i | ||||
\(969\) | 6.82885 | + | 8.56311i | 0.219374 | + | 0.275087i | ||||
\(970\) | 18.0874 | + | 8.71043i | 0.580751 | + | 0.279675i | ||||
\(971\) | 14.4178 | − | 18.0794i | 0.462689 | − | 0.580194i | −0.494675 | − | 0.869078i | \(-0.664713\pi\) |
0.957364 | + | 0.288884i | \(0.0932842\pi\) | |||||||
\(972\) | −32.2091 | + | 15.5111i | −1.03311 | + | 0.497519i | ||||
\(973\) | −35.7043 | + | 44.1497i | −1.14463 | + | 1.41537i | ||||
\(974\) | 7.04434 | + | 3.39237i | 0.225715 | + | 0.108699i | ||||
\(975\) | 11.9309 | − | 5.74560i | 0.382093 | − | 0.184006i | ||||
\(976\) | 8.33712 | − | 36.5273i | 0.266865 | − | 1.16921i | ||||
\(977\) | 5.65567 | − | 2.72363i | 0.180941 | − | 0.0871366i | −0.341220 | − | 0.939983i | \(-0.610840\pi\) |
0.522161 | + | 0.852847i | \(0.325126\pi\) | |||||||
\(978\) | −11.3540 | − | 14.2375i | −0.363061 | − | 0.455264i | ||||
\(979\) | −71.5914 | −2.28807 | ||||||||
\(980\) | −37.5523 | − | 18.7205i | −1.19956 | − | 0.598003i | ||||
\(981\) | 20.7678 | 0.663064 | ||||||||
\(982\) | 8.36816 | + | 10.4933i | 0.267039 | + | 0.334856i | ||||
\(983\) | −23.9605 | + | 11.5388i | −0.764221 | + | 0.368029i | −0.775040 | − | 0.631912i | \(-0.782270\pi\) |
0.0108194 | + | 0.999941i | \(0.496556\pi\) | |||||||
\(984\) | −2.36651 | + | 10.3684i | −0.0754417 | + | 0.330532i | ||||
\(985\) | −31.2792 | + | 15.0633i | −0.996637 | + | 0.479955i | ||||
\(986\) | 1.75856 | + | 0.846877i | 0.0560039 | + | 0.0269701i | ||||
\(987\) | −77.0908 | − | 0.526609i | −2.45383 | − | 0.0167622i | ||||
\(988\) | 10.2037 | − | 4.91384i | 0.324623 | − | 0.156330i | ||||
\(989\) | 3.04138 | − | 3.81377i | 0.0967103 | − | 0.121271i | ||||
\(990\) | −14.2245 | − | 6.85016i | −0.452085 | − | 0.217713i | ||||
\(991\) | 13.9280 | + | 17.4652i | 0.442438 | + | 0.554800i | 0.952184 | − | 0.305525i | \(-0.0988320\pi\) |
−0.509746 | + | 0.860325i | \(0.670261\pi\) | |||||||
\(992\) | −6.78288 | − | 29.7177i | −0.215357 | − | 0.943539i | ||||
\(993\) | 4.34196 | + | 5.44464i | 0.137788 | + | 0.172781i | ||||
\(994\) | −1.32551 | + | 1.63904i | −0.0420426 | + | 0.0519872i | ||||
\(995\) | 3.42326 | − | 4.29263i | 0.108525 | − | 0.136086i | ||||
\(996\) | 37.1850 | + | 17.9074i | 1.17825 | + | 0.567417i | ||||
\(997\) | 2.82639 | + | 12.3832i | 0.0895127 | + | 0.392181i | 0.999761 | − | 0.0218830i | \(-0.00696613\pi\) |
−0.910248 | + | 0.414064i | \(0.864109\pi\) | |||||||
\(998\) | −2.76299 | −0.0874609 | ||||||||
\(999\) | 2.42554 | 0.0767406 |
(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 | 637.2.w.a.547.17 | yes | 162 | |
49.43 | even | 7 | inner | 637.2.w.a.92.17 | ✓ | 162 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.w.a.92.17 | ✓ | 162 | 49.43 | even | 7 | inner | |
637.2.w.a.547.17 | yes | 162 | 1.1 | even | 1 | trivial |