Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(131,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bh (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 131.7 | ||
Character | \(\chi\) | \(=\) | 273.131 |
Dual form | 273.2.bh.a.248.7 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61355 | − | 0.931585i | −1.14095 | − | 0.658730i | −0.194287 | − | 0.980945i | \(-0.562239\pi\) |
−0.946667 | + | 0.322214i | \(0.895573\pi\) | |||||||
\(3\) | −1.54166 | − | 0.789478i | −0.890079 | − | 0.455805i | ||||
\(4\) | 0.735702 | + | 1.27427i | 0.367851 | + | 0.637136i | ||||
\(5\) | 0.650945 | − | 1.12747i | 0.291112 | − | 0.504220i | −0.682961 | − | 0.730455i | \(-0.739308\pi\) |
0.974073 | + | 0.226235i | \(0.0726416\pi\) | |||||||
\(6\) | 1.75209 | + | 2.71005i | 0.715287 | + | 1.10638i | ||||
\(7\) | −0.953821 | + | 2.46784i | −0.360510 | + | 0.932755i | ||||
\(8\) | 0.984865i | 0.348202i | ||||||||
\(9\) | 1.75345 | + | 2.43422i | 0.584483 | + | 0.811406i | ||||
\(10\) | −2.10067 | + | 1.21282i | −0.664290 | + | 0.383528i | ||||
\(11\) | −3.00907 | + | 1.73729i | −0.907270 | + | 0.523813i | −0.879552 | − | 0.475803i | \(-0.842157\pi\) |
−0.0277183 | + | 0.999616i | \(0.508824\pi\) | |||||||
\(12\) | −0.128193 | − | 2.54532i | −0.0370063 | − | 0.734770i | ||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | 3.83804 | − | 3.09342i | 1.02576 | − | 0.826752i | ||||
\(15\) | −1.89365 | + | 1.22427i | −0.488939 | + | 0.316106i | ||||
\(16\) | 2.38889 | − | 4.13768i | 0.597222 | − | 1.03442i | ||||
\(17\) | −0.478360 | − | 0.828544i | −0.116019 | − | 0.200951i | 0.802167 | − | 0.597099i | \(-0.203680\pi\) |
−0.918187 | + | 0.396148i | \(0.870347\pi\) | |||||||
\(18\) | −0.561600 | − | 5.56123i | −0.132370 | − | 1.31079i | ||||
\(19\) | 6.70949 | + | 3.87373i | 1.53926 | + | 0.888694i | 0.998882 | + | 0.0472727i | \(0.0150530\pi\) |
0.540380 | + | 0.841421i | \(0.318280\pi\) | |||||||
\(20\) | 1.91561 | 0.428343 | ||||||||
\(21\) | 3.41877 | − | 3.05155i | 0.746038 | − | 0.665904i | ||||
\(22\) | 6.47373 | 1.38020 | ||||||||
\(23\) | 2.28181 | + | 1.31741i | 0.475791 | + | 0.274698i | 0.718661 | − | 0.695361i | \(-0.244755\pi\) |
−0.242870 | + | 0.970059i | \(0.578089\pi\) | |||||||
\(24\) | 0.777530 | − | 1.51833i | 0.158713 | − | 0.309928i | ||||
\(25\) | 1.65254 | + | 2.86228i | 0.330508 | + | 0.572457i | ||||
\(26\) | −0.931585 | + | 1.61355i | −0.182699 | + | 0.316444i | ||||
\(27\) | −0.781464 | − | 5.13705i | −0.150393 | − | 0.988626i | ||||
\(28\) | −3.84643 | + | 0.600165i | −0.726906 | + | 0.113420i | ||||
\(29\) | 1.37565i | 0.255452i | 0.991809 | + | 0.127726i | \(0.0407679\pi\) | ||||
−0.991809 | + | 0.127726i | \(0.959232\pi\) | |||||||
\(30\) | 4.19602 | − | 0.211330i | 0.766085 | − | 0.0385834i | ||||
\(31\) | −0.469556 | + | 0.271098i | −0.0843347 | + | 0.0486907i | −0.541574 | − | 0.840653i | \(-0.682172\pi\) |
0.457240 | + | 0.889344i | \(0.348838\pi\) | |||||||
\(32\) | −6.00336 | + | 3.46604i | −1.06125 | + | 0.612716i | ||||
\(33\) | 6.01053 | − | 0.302717i | 1.04630 | − | 0.0526962i | ||||
\(34\) | 1.78253i | 0.305702i | ||||||||
\(35\) | 2.16153 | + | 2.68183i | 0.365365 | + | 0.453312i | ||||
\(36\) | −1.81184 | + | 4.02523i | −0.301974 | + | 0.670872i | ||||
\(37\) | 1.83050 | − | 3.17052i | 0.300933 | − | 0.521231i | −0.675415 | − | 0.737438i | \(-0.736035\pi\) |
0.976348 | + | 0.216207i | \(0.0693687\pi\) | |||||||
\(38\) | −7.21741 | − | 12.5009i | −1.17082 | − | 2.02792i | ||||
\(39\) | −0.789478 | + | 1.54166i | −0.126418 | + | 0.246864i | ||||
\(40\) | 1.11041 | + | 0.641093i | 0.175571 | + | 0.101366i | ||||
\(41\) | 9.40663 | 1.46907 | 0.734534 | − | 0.678571i | \(-0.237401\pi\) | ||||
0.734534 | + | 0.678571i | \(0.237401\pi\) | |||||||
\(42\) | −8.35916 | + | 1.73896i | −1.28985 | + | 0.268328i | ||||
\(43\) | −6.05484 | −0.923354 | −0.461677 | − | 0.887048i | \(-0.652752\pi\) | ||||
−0.461677 | + | 0.887048i | \(0.652752\pi\) | |||||||
\(44\) | −4.42756 | − | 2.55625i | −0.667480 | − | 0.385370i | ||||
\(45\) | 3.88591 | − | 0.392418i | 0.579277 | − | 0.0584982i | ||||
\(46\) | −2.45455 | − | 4.25141i | −0.361904 | − | 0.626836i | ||||
\(47\) | −5.18925 | + | 8.98805i | −0.756930 | + | 1.31104i | 0.187479 | + | 0.982269i | \(0.439968\pi\) |
−0.944409 | + | 0.328773i | \(0.893365\pi\) | |||||||
\(48\) | −6.94947 | + | 4.49293i | −1.00307 | + | 0.648498i | ||||
\(49\) | −5.18045 | − | 4.70775i | −0.740064 | − | 0.672536i | ||||
\(50\) | − | 6.15793i | − | 0.870863i | ||||||
\(51\) | 0.0833526 | + | 1.65499i | 0.0116717 | + | 0.231745i | ||||
\(52\) | 1.27427 | − | 0.735702i | 0.176710 | − | 0.102023i | ||||
\(53\) | −3.90354 | + | 2.25371i | −0.536192 | + | 0.309571i | −0.743534 | − | 0.668698i | \(-0.766852\pi\) |
0.207342 | + | 0.978268i | \(0.433519\pi\) | |||||||
\(54\) | −3.52467 | + | 9.01691i | −0.479647 | + | 1.22705i | ||||
\(55\) | 4.52352i | 0.609952i | ||||||||
\(56\) | −2.43049 | − | 0.939385i | −0.324788 | − | 0.125531i | ||||
\(57\) | −7.28555 | − | 11.2690i | −0.964994 | − | 1.49261i | ||||
\(58\) | 1.28154 | − | 2.21969i | 0.168274 | − | 0.291460i | ||||
\(59\) | 1.58070 | + | 2.73786i | 0.205790 | + | 0.356438i | 0.950384 | − | 0.311079i | \(-0.100690\pi\) |
−0.744594 | + | 0.667517i | \(0.767357\pi\) | |||||||
\(60\) | −2.95322 | − | 1.51233i | −0.381259 | − | 0.195241i | ||||
\(61\) | 9.76740 | + | 5.63921i | 1.25059 | + | 0.722027i | 0.971226 | − | 0.238160i | \(-0.0765441\pi\) |
0.279361 | + | 0.960186i | \(0.409877\pi\) | |||||||
\(62\) | 1.01020 | 0.128296 | ||||||||
\(63\) | −7.67973 | + | 2.00542i | −0.967555 | + | 0.252659i | ||||
\(64\) | 3.36010 | 0.420012 | ||||||||
\(65\) | −1.12747 | − | 0.650945i | −0.139845 | − | 0.0807398i | ||||
\(66\) | −9.98032 | − | 5.11087i | −1.22849 | − | 0.629105i | ||||
\(67\) | 1.90946 | + | 3.30728i | 0.233277 | + | 0.404048i | 0.958771 | − | 0.284181i | \(-0.0917217\pi\) |
−0.725493 | + | 0.688229i | \(0.758388\pi\) | |||||||
\(68\) | 0.703861 | − | 1.21912i | 0.0853557 | − | 0.147840i | ||||
\(69\) | −2.47773 | − | 3.83244i | −0.298283 | − | 0.461371i | ||||
\(70\) | −0.989386 | − | 6.34093i | −0.118254 | − | 0.757886i | ||||
\(71\) | 16.4877i | 1.95673i | 0.206894 | + | 0.978363i | \(0.433664\pi\) | ||||
−0.206894 | + | 0.978363i | \(0.566336\pi\) | |||||||
\(72\) | −2.39738 | + | 1.72691i | −0.282534 | + | 0.203518i | ||||
\(73\) | −7.30665 | + | 4.21850i | −0.855179 | + | 0.493738i | −0.862395 | − | 0.506236i | \(-0.831036\pi\) |
0.00721618 | + | 0.999974i | \(0.497703\pi\) | |||||||
\(74\) | −5.90723 | + | 3.41054i | −0.686701 | + | 0.396467i | ||||
\(75\) | −0.287949 | − | 5.71732i | −0.0332495 | − | 0.660179i | ||||
\(76\) | 11.3996i | 1.30763i | ||||||||
\(77\) | −1.41723 | − | 9.08297i | −0.161509 | − | 1.03510i | ||||
\(78\) | 2.71005 | − | 1.75209i | 0.306853 | − | 0.198385i | ||||
\(79\) | −0.00970735 | + | 0.0168136i | −0.00109216 | + | 0.00189168i | −0.866571 | − | 0.499054i | \(-0.833681\pi\) |
0.865479 | + | 0.500946i | \(0.167014\pi\) | |||||||
\(80\) | −3.11007 | − | 5.38680i | −0.347717 | − | 0.602263i | ||||
\(81\) | −2.85084 | + | 8.53655i | −0.316760 | + | 0.948506i | ||||
\(82\) | −15.1781 | − | 8.76308i | −1.67614 | − | 0.967720i | ||||
\(83\) | 13.7006 | 1.50384 | 0.751918 | − | 0.659257i | \(-0.229129\pi\) | ||||
0.751918 | + | 0.659257i | \(0.229129\pi\) | |||||||
\(84\) | 6.40371 | + | 2.11142i | 0.698702 | + | 0.230375i | ||||
\(85\) | −1.24555 | −0.135098 | ||||||||
\(86\) | 9.76980 | + | 5.64060i | 1.05350 | + | 0.608241i | ||||
\(87\) | 1.08605 | − | 2.12079i | 0.116437 | − | 0.227373i | ||||
\(88\) | −1.71100 | − | 2.96353i | −0.182393 | − | 0.315914i | ||||
\(89\) | 0.846721 | − | 1.46656i | 0.0897523 | − | 0.155455i | −0.817654 | − | 0.575710i | \(-0.804726\pi\) |
0.907406 | + | 0.420254i | \(0.138059\pi\) | |||||||
\(90\) | −6.63569 | − | 2.98687i | −0.699463 | − | 0.314843i | ||||
\(91\) | 2.46784 | + | 0.953821i | 0.258700 | + | 0.0999876i | ||||
\(92\) | 3.87687i | 0.404192i | ||||||||
\(93\) | 0.937923 | − | 0.0472379i | 0.0972581 | − | 0.00489834i | ||||
\(94\) | 16.7463 | − | 9.66846i | 1.72724 | − | 0.997225i | ||||
\(95\) | 8.73502 | − | 5.04317i | 0.896194 | − | 0.517418i | ||||
\(96\) | 11.9915 | − | 0.603946i | 1.22388 | − | 0.0616399i | ||||
\(97\) | 13.4723i | 1.36791i | 0.729526 | + | 0.683953i | \(0.239741\pi\) | ||||
−0.729526 | + | 0.683953i | \(0.760259\pi\) | |||||||
\(98\) | 3.97326 | + | 12.4222i | 0.401360 | + | 1.25484i | ||||
\(99\) | −9.50520 | − | 4.27850i | −0.955309 | − | 0.430005i | ||||
\(100\) | −2.43155 | + | 4.21157i | −0.243155 | + | 0.421157i | ||||
\(101\) | 3.29692 | + | 5.71044i | 0.328056 | + | 0.568210i | 0.982126 | − | 0.188224i | \(-0.0602731\pi\) |
−0.654070 | + | 0.756434i | \(0.726940\pi\) | |||||||
\(102\) | 1.40727 | − | 2.74806i | 0.139341 | − | 0.272099i | ||||
\(103\) | −5.90774 | − | 3.41084i | −0.582107 | − | 0.336080i | 0.179863 | − | 0.983692i | \(-0.442434\pi\) |
−0.761970 | + | 0.647612i | \(0.775768\pi\) | |||||||
\(104\) | 0.984865 | 0.0965740 | ||||||||
\(105\) | −1.21510 | − | 5.84096i | −0.118582 | − | 0.570019i | ||||
\(106\) | 8.39808 | 0.815694 | ||||||||
\(107\) | −1.96525 | − | 1.13464i | −0.189988 | − | 0.109690i | 0.401989 | − | 0.915645i | \(-0.368319\pi\) |
−0.591977 | + | 0.805955i | \(0.701652\pi\) | |||||||
\(108\) | 5.97108 | − | 4.77514i | 0.574568 | − | 0.459488i | ||||
\(109\) | −8.52317 | − | 14.7626i | −0.816372 | − | 1.41400i | −0.908339 | − | 0.418235i | \(-0.862649\pi\) |
0.0919669 | − | 0.995762i | \(-0.470685\pi\) | |||||||
\(110\) | 4.21405 | − | 7.29894i | 0.401794 | − | 0.695927i | ||||
\(111\) | −5.32508 | + | 3.44274i | −0.505434 | + | 0.326770i | ||||
\(112\) | 7.93255 | + | 9.84200i | 0.749555 | + | 0.929981i | ||||
\(113\) | − | 14.9166i | − | 1.40324i | −0.712552 | − | 0.701619i | \(-0.752461\pi\) | ||
0.712552 | − | 0.701619i | \(-0.247539\pi\) | |||||||
\(114\) | 1.25761 | + | 24.9702i | 0.117786 | + | 2.33867i | ||||
\(115\) | 2.97067 | − | 1.71512i | 0.277017 | − | 0.159936i | ||||
\(116\) | −1.75296 | + | 1.01207i | −0.162758 | + | 0.0939684i | ||||
\(117\) | 2.43422 | − | 1.75345i | 0.225044 | − | 0.162106i | ||||
\(118\) | − | 5.89023i | − | 0.542240i | ||||||
\(119\) | 2.50098 | − | 0.390233i | 0.229265 | − | 0.0357726i | ||||
\(120\) | −1.20574 | − | 1.86499i | −0.110069 | − | 0.170250i | ||||
\(121\) | 0.536353 | − | 0.928991i | 0.0487594 | − | 0.0844537i | ||||
\(122\) | −10.5068 | − | 18.1983i | −0.951242 | − | 1.64760i | ||||
\(123\) | −14.5019 | − | 7.42633i | −1.30759 | − | 0.669610i | ||||
\(124\) | −0.690906 | − | 0.398895i | −0.0620452 | − | 0.0358218i | ||||
\(125\) | 10.8123 | 0.967082 | ||||||||
\(126\) | 14.2599 | + | 3.91848i | 1.27037 | + | 0.349086i | ||||
\(127\) | 2.91301 | 0.258488 | 0.129244 | − | 0.991613i | \(-0.458745\pi\) | ||||
0.129244 | + | 0.991613i | \(0.458745\pi\) | |||||||
\(128\) | 6.58503 | + | 3.80187i | 0.582040 | + | 0.336041i | ||||
\(129\) | 9.33452 | + | 4.78016i | 0.821859 | + | 0.420870i | ||||
\(130\) | 1.21282 | + | 2.10067i | 0.106372 | + | 0.184241i | ||||
\(131\) | 0.334792 | − | 0.579878i | 0.0292510 | − | 0.0506641i | −0.851029 | − | 0.525118i | \(-0.824021\pi\) |
0.880280 | + | 0.474454i | \(0.157354\pi\) | |||||||
\(132\) | 4.80770 | + | 7.43635i | 0.418457 | + | 0.647251i | ||||
\(133\) | −15.9594 | + | 12.8631i | −1.38385 | + | 1.11537i | ||||
\(134\) | − | 7.11529i | − | 0.614667i | ||||||
\(135\) | −6.30057 | − | 2.46286i | −0.542266 | − | 0.211970i | ||||
\(136\) | 0.816004 | − | 0.471120i | 0.0699718 | − | 0.0403982i | ||||
\(137\) | −7.40485 | + | 4.27519i | −0.632639 | + | 0.365254i | −0.781773 | − | 0.623563i | \(-0.785685\pi\) |
0.149135 | + | 0.988817i | \(0.452351\pi\) | |||||||
\(138\) | 0.427697 | + | 8.49205i | 0.0364080 | + | 0.722892i | ||||
\(139\) | − | 19.3339i | − | 1.63988i | −0.572447 | − | 0.819942i | \(-0.694006\pi\) | ||
0.572447 | − | 0.819942i | \(-0.305994\pi\) | |||||||
\(140\) | −1.82715 | + | 4.72741i | −0.154422 | + | 0.399539i | ||||
\(141\) | 15.0959 | − | 9.75974i | 1.27131 | − | 0.821918i | ||||
\(142\) | 15.3597 | − | 26.6037i | 1.28895 | − | 2.23254i | ||||
\(143\) | 1.73729 | + | 3.00907i | 0.145279 | + | 0.251631i | ||||
\(144\) | 14.2608 | − | 1.44013i | 1.18840 | − | 0.120011i | ||||
\(145\) | 1.55101 | + | 0.895475i | 0.128804 | + | 0.0743652i | ||||
\(146\) | 15.7196 | 1.30096 | ||||||||
\(147\) | 4.26984 | + | 11.3476i | 0.352171 | + | 0.935936i | ||||
\(148\) | 5.38682 | 0.442794 | ||||||||
\(149\) | −5.10781 | − | 2.94900i | −0.418448 | − | 0.241591i | 0.275965 | − | 0.961168i | \(-0.411003\pi\) |
−0.694413 | + | 0.719576i | \(0.744336\pi\) | |||||||
\(150\) | −4.86155 | + | 9.49345i | −0.396944 | + | 0.775137i | ||||
\(151\) | 4.43493 | + | 7.68152i | 0.360909 | + | 0.625113i | 0.988111 | − | 0.153744i | \(-0.0491331\pi\) |
−0.627201 | + | 0.778857i | \(0.715800\pi\) | |||||||
\(152\) | −3.81510 | + | 6.60794i | −0.309445 | + | 0.535975i | ||||
\(153\) | 1.17808 | − | 2.61724i | 0.0952419 | − | 0.211592i | ||||
\(154\) | −6.17478 | + | 15.9761i | −0.497578 | + | 1.28739i | ||||
\(155\) | 0.705880i | 0.0566977i | ||||||||
\(156\) | −2.54532 | + | 0.128193i | −0.203789 | + | 0.0102637i | ||||
\(157\) | 1.15525 | − | 0.666985i | 0.0921992 | − | 0.0532312i | −0.453192 | − | 0.891413i | \(-0.649715\pi\) |
0.545391 | + | 0.838182i | \(0.316381\pi\) | |||||||
\(158\) | 0.0313266 | − | 0.0180864i | 0.00249221 | − | 0.00143888i | ||||
\(159\) | 7.79719 | − | 0.392701i | 0.618357 | − | 0.0311432i | ||||
\(160\) | 9.02482i | 0.713474i | ||||||||
\(161\) | −5.42759 | + | 4.37458i | −0.427754 | + | 0.344765i | ||||
\(162\) | 12.5525 | − | 11.1184i | 0.986218 | − | 0.873542i | ||||
\(163\) | −10.0912 | + | 17.4785i | −0.790406 | + | 1.36902i | 0.135310 | + | 0.990803i | \(0.456797\pi\) |
−0.925716 | + | 0.378220i | \(0.876536\pi\) | |||||||
\(164\) | 6.92047 | + | 11.9866i | 0.540398 | + | 0.935997i | ||||
\(165\) | 3.57122 | − | 6.97375i | 0.278019 | − | 0.542905i | ||||
\(166\) | −22.1066 | − | 12.7633i | −1.71581 | − | 0.990622i | ||||
\(167\) | 1.90725 | 0.147587 | 0.0737936 | − | 0.997274i | \(-0.476489\pi\) | ||||
0.0737936 | + | 0.997274i | \(0.476489\pi\) | |||||||
\(168\) | 3.00537 | + | 3.36703i | 0.231869 | + | 0.259772i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 2.00975 | + | 1.16033i | 0.154141 | + | 0.0889934i | ||||
\(171\) | 2.33525 | + | 23.1247i | 0.178581 | + | 1.76839i | ||||
\(172\) | −4.45456 | − | 7.71552i | −0.339657 | − | 0.588303i | ||||
\(173\) | 8.22131 | − | 14.2397i | 0.625055 | − | 1.08263i | −0.363475 | − | 0.931604i | \(-0.618410\pi\) |
0.988530 | − | 0.151023i | \(-0.0482568\pi\) | |||||||
\(174\) | −3.72810 | + | 2.41027i | −0.282626 | + | 0.182722i | ||||
\(175\) | −8.63988 | + | 1.34810i | −0.653114 | + | 0.101906i | ||||
\(176\) | 16.6008i | 1.25133i | ||||||||
\(177\) | −0.275432 | − | 5.46878i | −0.0207027 | − | 0.411059i | ||||
\(178\) | −2.73246 | + | 1.57759i | −0.204806 | + | 0.118245i | ||||
\(179\) | 3.54889 | − | 2.04895i | 0.265256 | − | 0.153146i | −0.361474 | − | 0.932382i | \(-0.617726\pi\) |
0.626730 | + | 0.779237i | \(0.284393\pi\) | |||||||
\(180\) | 3.35892 | + | 4.66300i | 0.250359 | + | 0.347560i | ||||
\(181\) | 9.88890i | 0.735036i | 0.930016 | + | 0.367518i | \(0.119792\pi\) | ||||
−0.930016 | + | 0.367518i | \(0.880208\pi\) | |||||||
\(182\) | −3.09342 | − | 3.83804i | −0.229300 | − | 0.284495i | ||||
\(183\) | −10.6060 | − | 16.4049i | −0.784018 | − | 1.21269i | ||||
\(184\) | −1.29747 | + | 2.24728i | −0.0956506 | + | 0.165672i | ||||
\(185\) | −2.38311 | − | 4.12768i | −0.175210 | − | 0.303473i | ||||
\(186\) | −1.55739 | − | 0.797534i | −0.114194 | − | 0.0584780i | ||||
\(187\) | 2.87884 | + | 1.66210i | 0.210522 | + | 0.121545i | ||||
\(188\) | −15.2710 | −1.11375 | ||||||||
\(189\) | 13.4228 | + | 2.97130i | 0.976364 | + | 0.216130i | ||||
\(190\) | −18.7926 | −1.36336 | ||||||||
\(191\) | −18.8494 | − | 10.8827i | −1.36389 | − | 0.787444i | −0.373754 | − | 0.927528i | \(-0.621929\pi\) |
−0.990140 | + | 0.140084i | \(0.955263\pi\) | |||||||
\(192\) | −5.18014 | − | 2.65272i | −0.373844 | − | 0.191444i | ||||
\(193\) | 4.11469 | + | 7.12685i | 0.296182 | + | 0.513002i | 0.975259 | − | 0.221065i | \(-0.0709532\pi\) |
−0.679077 | + | 0.734067i | \(0.737620\pi\) | |||||||
\(194\) | 12.5506 | − | 21.7383i | 0.901082 | − | 1.56072i | ||||
\(195\) | 1.22427 | + | 1.89365i | 0.0876719 | + | 0.135607i | ||||
\(196\) | 2.18769 | − | 10.0648i | 0.156264 | − | 0.718915i | ||||
\(197\) | − | 15.9358i | − | 1.13538i | −0.823243 | − | 0.567688i | \(-0.807838\pi\) | ||
0.823243 | − | 0.567688i | \(-0.192162\pi\) | |||||||
\(198\) | 11.3514 | + | 15.7585i | 0.806706 | + | 1.11991i | ||||
\(199\) | −0.341956 | + | 0.197429i | −0.0242406 | + | 0.0139953i | −0.512071 | − | 0.858943i | \(-0.671122\pi\) |
0.487831 | + | 0.872938i | \(0.337788\pi\) | |||||||
\(200\) | −2.81896 | + | 1.62753i | −0.199331 | + | 0.115084i | ||||
\(201\) | −0.332716 | − | 6.60618i | −0.0234680 | − | 0.465964i | ||||
\(202\) | − | 12.2855i | − | 0.864402i | ||||||
\(203\) | −3.39489 | − | 1.31213i | −0.238275 | − | 0.0920933i | ||||
\(204\) | −2.04759 | + | 1.32379i | −0.143360 | + | 0.0926841i | ||||
\(205\) | 6.12320 | − | 10.6057i | 0.427663 | − | 0.740734i | ||||
\(206\) | 6.35497 | + | 11.0071i | 0.442772 | + | 0.766903i | ||||
\(207\) | 0.794190 | + | 7.86444i | 0.0552000 | + | 0.546616i | ||||
\(208\) | −4.13768 | − | 2.38889i | −0.286896 | − | 0.165640i | ||||
\(209\) | −26.9191 | −1.86204 | ||||||||
\(210\) | −3.48072 | + | 10.5567i | −0.240193 | + | 0.728479i | ||||
\(211\) | 7.31164 | 0.503354 | 0.251677 | − | 0.967811i | \(-0.419018\pi\) | ||||
0.251677 | + | 0.967811i | \(0.419018\pi\) | |||||||
\(212\) | −5.74368 | − | 3.31611i | −0.394477 | − | 0.227752i | ||||
\(213\) | 13.0167 | − | 25.4184i | 0.891887 | − | 1.74164i | ||||
\(214\) | 2.11403 | + | 3.66160i | 0.144512 | + | 0.250302i | ||||
\(215\) | −3.94137 | + | 6.82665i | −0.268799 | + | 0.465574i | ||||
\(216\) | 5.05930 | − | 0.769637i | 0.344242 | − | 0.0523671i | ||||
\(217\) | −0.221154 | − | 1.41737i | −0.0150129 | − | 0.0962171i | ||||
\(218\) | 31.7602i | 2.15107i | ||||||||
\(219\) | 14.5948 | − | 0.735058i | 0.986225 | − | 0.0496706i | ||||
\(220\) | −5.76420 | + | 3.32796i | −0.388622 | + | 0.224371i | ||||
\(221\) | −0.828544 | + | 0.478360i | −0.0557339 | + | 0.0321780i | ||||
\(222\) | 11.7995 | − | 0.594274i | 0.791930 | − | 0.0398851i | ||||
\(223\) | − | 27.1756i | − | 1.81982i | −0.414811 | − | 0.909908i | \(-0.636152\pi\) | ||
0.414811 | − | 0.909908i | \(-0.363848\pi\) | |||||||
\(224\) | −2.82750 | − | 18.1213i | −0.188920 | − | 1.21078i | ||||
\(225\) | −4.06978 | + | 9.04151i | −0.271319 | + | 0.602767i | ||||
\(226\) | −13.8961 | + | 24.0688i | −0.924356 | + | 1.60103i | ||||
\(227\) | −2.42421 | − | 4.19886i | −0.160901 | − | 0.278688i | 0.774291 | − | 0.632829i | \(-0.218107\pi\) |
−0.935192 | + | 0.354141i | \(0.884773\pi\) | |||||||
\(228\) | 8.99976 | − | 17.5744i | 0.596023 | − | 1.16389i | ||||
\(229\) | −9.08471 | − | 5.24506i | −0.600334 | − | 0.346603i | 0.168839 | − | 0.985644i | \(-0.445998\pi\) |
−0.769173 | + | 0.639040i | \(0.779332\pi\) | |||||||
\(230\) | −6.39112 | −0.421418 | ||||||||
\(231\) | −4.98592 | + | 15.1218i | −0.328049 | + | 0.994938i | ||||
\(232\) | −1.35483 | −0.0889492 | ||||||||
\(233\) | −13.1466 | − | 7.59021i | −0.861264 | − | 0.497251i | 0.00317138 | − | 0.999995i | \(-0.498991\pi\) |
−0.864435 | + | 0.502744i | \(0.832324\pi\) | |||||||
\(234\) | −5.56123 | + | 0.561600i | −0.363549 | + | 0.0367129i | ||||
\(235\) | 6.75584 | + | 11.7015i | 0.440702 | + | 0.763319i | ||||
\(236\) | −2.32585 | + | 4.02849i | −0.151400 | + | 0.262232i | ||||
\(237\) | 0.0282395 | − | 0.0182572i | 0.00183435 | − | 0.00118593i | ||||
\(238\) | −4.39900 | − | 1.70022i | −0.285145 | − | 0.110209i | ||||
\(239\) | 15.7837i | 1.02096i | 0.859888 | + | 0.510482i | \(0.170533\pi\) | ||||
−0.859888 | + | 0.510482i | \(0.829467\pi\) | |||||||
\(240\) | 0.541919 | + | 10.7600i | 0.0349807 | + | 0.694553i | ||||
\(241\) | 12.1855 | − | 7.03531i | 0.784938 | − | 0.453184i | −0.0532395 | − | 0.998582i | \(-0.516955\pi\) |
0.838177 | + | 0.545398i | \(0.183621\pi\) | |||||||
\(242\) | −1.73087 | + | 0.999317i | −0.111264 | + | 0.0642385i | ||||
\(243\) | 11.1345 | − | 10.9098i | 0.714275 | − | 0.699865i | ||||
\(244\) | 16.5951i | 1.06239i | ||||||||
\(245\) | −8.68004 | + | 2.77632i | −0.554547 | + | 0.177372i | ||||
\(246\) | 16.4812 | + | 25.4925i | 1.05081 | + | 1.62534i | ||||
\(247\) | 3.87373 | − | 6.70949i | 0.246479 | − | 0.426915i | ||||
\(248\) | −0.266995 | − | 0.462449i | −0.0169542 | − | 0.0293656i | ||||
\(249\) | −21.1217 | − | 10.8163i | −1.33853 | − | 0.685457i | ||||
\(250\) | −17.4462 | − | 10.0726i | −1.10340 | − | 0.637046i | ||||
\(251\) | −6.42266 | −0.405395 | −0.202697 | − | 0.979241i | \(-0.564971\pi\) | ||||
−0.202697 | + | 0.979241i | \(0.564971\pi\) | |||||||
\(252\) | −8.20544 | − | 8.31069i | −0.516894 | − | 0.523524i | ||||
\(253\) | −9.15487 | −0.575562 | ||||||||
\(254\) | −4.70029 | − | 2.71372i | −0.294923 | − | 0.170274i | ||||
\(255\) | 1.92021 | + | 0.983331i | 0.120248 | + | 0.0615786i | ||||
\(256\) | −10.4436 | − | 18.0889i | −0.652727 | − | 1.13056i | ||||
\(257\) | 2.09925 | − | 3.63601i | 0.130948 | − | 0.226808i | −0.793094 | − | 0.609099i | \(-0.791531\pi\) |
0.924042 | + | 0.382291i | \(0.124865\pi\) | |||||||
\(258\) | −10.6086 | − | 16.4089i | −0.660463 | − | 1.02158i | ||||
\(259\) | 6.07837 | + | 7.54150i | 0.377691 | + | 0.468606i | ||||
\(260\) | − | 1.91561i | − | 0.118801i | ||||||
\(261\) | −3.34864 | + | 2.41214i | −0.207276 | + | 0.149308i | ||||
\(262\) | −1.08041 | + | 0.623775i | −0.0667480 | + | 0.0385370i | ||||
\(263\) | −14.9641 | + | 8.63952i | −0.922725 | + | 0.532736i | −0.884503 | − | 0.466534i | \(-0.845503\pi\) |
−0.0382217 | + | 0.999269i | \(0.512169\pi\) | |||||||
\(264\) | 0.298135 | + | 5.91956i | 0.0183489 | + | 0.364324i | ||||
\(265\) | 5.86816i | 0.360478i | ||||||||
\(266\) | 37.7344 | − | 5.88776i | 2.31364 | − | 0.361002i | ||||
\(267\) | −2.46318 | + | 1.59248i | −0.150744 | + | 0.0974581i | ||||
\(268\) | −2.80958 | + | 4.86634i | −0.171623 | + | 0.297259i | ||||
\(269\) | 1.88950 | + | 3.27272i | 0.115205 | + | 0.199541i | 0.917862 | − | 0.396900i | \(-0.129914\pi\) |
−0.802657 | + | 0.596441i | \(0.796581\pi\) | |||||||
\(270\) | 7.87193 | + | 9.84347i | 0.479070 | + | 0.599055i | ||||
\(271\) | −19.2185 | − | 11.0958i | −1.16744 | − | 0.674023i | −0.214366 | − | 0.976753i | \(-0.568769\pi\) |
−0.953076 | + | 0.302730i | \(0.902102\pi\) | |||||||
\(272\) | −4.57100 | −0.277157 | ||||||||
\(273\) | −3.05155 | − | 3.41877i | −0.184688 | − | 0.206914i | ||||
\(274\) | 15.9308 | 0.962416 | ||||||||
\(275\) | −9.94523 | − | 5.74188i | −0.599720 | − | 0.346249i | ||||
\(276\) | 3.06071 | − | 5.97683i | 0.184233 | − | 0.359763i | ||||
\(277\) | 15.8011 | + | 27.3683i | 0.949396 | + | 1.64440i | 0.746701 | + | 0.665160i | \(0.231637\pi\) |
0.202695 | + | 0.979242i | \(0.435030\pi\) | |||||||
\(278\) | −18.0112 | + | 31.1963i | −1.08024 | + | 1.87103i | ||||
\(279\) | −1.48325 | − | 0.667645i | −0.0888001 | − | 0.0399708i | ||||
\(280\) | −2.64124 | + | 2.12881i | −0.157844 | + | 0.127221i | ||||
\(281\) | 27.1748i | 1.62111i | 0.585662 | + | 0.810555i | \(0.300834\pi\) | ||||
−0.585662 | + | 0.810555i | \(0.699166\pi\) | |||||||
\(282\) | −33.4501 | + | 1.68469i | −1.99193 | + | 0.100322i | ||||
\(283\) | 4.46882 | − | 2.58008i | 0.265644 | − | 0.153370i | −0.361262 | − | 0.932464i | \(-0.617654\pi\) |
0.626906 | + | 0.779095i | \(0.284321\pi\) | |||||||
\(284\) | −21.0098 | + | 12.1300i | −1.24670 | + | 0.719784i | ||||
\(285\) | −17.4479 | + | 0.878754i | −1.03353 | + | 0.0520529i | ||||
\(286\) | − | 6.47373i | − | 0.382800i | ||||||
\(287\) | −8.97224 | + | 23.2140i | −0.529615 | + | 1.37028i | ||||
\(288\) | −18.9637 | − | 8.53597i | −1.11745 | − | 0.502987i | ||||
\(289\) | 8.04234 | − | 13.9297i | 0.473079 | − | 0.819397i | ||||
\(290\) | −1.66842 | − | 2.88979i | −0.0979732 | − | 0.169695i | ||||
\(291\) | 10.6361 | − | 20.7698i | 0.623499 | − | 1.21755i | ||||
\(292\) | −10.7510 | − | 6.20711i | −0.629156 | − | 0.363244i | ||||
\(293\) | 29.2385 | 1.70813 | 0.854066 | − | 0.520164i | \(-0.174129\pi\) | ||||
0.854066 | + | 0.520164i | \(0.174129\pi\) | |||||||
\(294\) | 3.68166 | − | 22.2877i | 0.214719 | − | 1.29985i | ||||
\(295\) | 4.11580 | 0.239631 | ||||||||
\(296\) | 3.12254 | + | 1.80280i | 0.181494 | + | 0.104786i | ||||
\(297\) | 11.2760 | + | 14.1001i | 0.654302 | + | 0.818173i | ||||
\(298\) | 5.49449 | + | 9.51673i | 0.318287 | + | 0.551289i | ||||
\(299\) | 1.31741 | − | 2.28181i | 0.0761876 | − | 0.131961i | ||||
\(300\) | 7.07358 | − | 4.57317i | 0.408393 | − | 0.264032i | ||||
\(301\) | 5.77523 | − | 14.9424i | 0.332879 | − | 0.861263i | ||||
\(302\) | − | 16.5261i | − | 0.950967i | ||||||
\(303\) | −0.574477 | − | 11.4064i | −0.0330029 | − | 0.655282i | ||||
\(304\) | 32.0565 | − | 18.5078i | 1.83856 | − | 1.06150i | ||||
\(305\) | 12.7161 | − | 7.34163i | 0.728121 | − | 0.420381i | ||||
\(306\) | −4.33907 | + | 3.12558i | −0.248048 | + | 0.178677i | ||||
\(307\) | − | 4.49689i | − | 0.256651i | −0.991732 | − | 0.128326i | \(-0.959040\pi\) | ||
0.991732 | − | 0.128326i | \(-0.0409603\pi\) | |||||||
\(308\) | 10.5315 | − | 8.48830i | 0.600089 | − | 0.483666i | ||||
\(309\) | 6.41496 | + | 9.92239i | 0.364935 | + | 0.564465i | ||||
\(310\) | 0.657588 | − | 1.13898i | 0.0373485 | − | 0.0646894i | ||||
\(311\) | −0.646059 | − | 1.11901i | −0.0366346 | − | 0.0634531i | 0.847127 | − | 0.531391i | \(-0.178330\pi\) |
−0.883761 | + | 0.467938i | \(0.844997\pi\) | |||||||
\(312\) | −1.51833 | − | 0.777530i | −0.0859585 | − | 0.0440189i | ||||
\(313\) | 2.75796 | + | 1.59231i | 0.155889 | + | 0.0900025i | 0.575915 | − | 0.817509i | \(-0.304646\pi\) |
−0.420026 | + | 0.907512i | \(0.637979\pi\) | |||||||
\(314\) | −2.48541 | −0.140260 | ||||||||
\(315\) | −2.73804 | + | 9.96409i | −0.154271 | + | 0.561413i | ||||
\(316\) | −0.0285669 | −0.00160701 | ||||||||
\(317\) | 7.53152 | + | 4.34833i | 0.423012 | + | 0.244226i | 0.696365 | − | 0.717687i | \(-0.254799\pi\) |
−0.273353 | + | 0.961914i | \(0.588133\pi\) | |||||||
\(318\) | −12.9470 | − | 6.63010i | −0.726032 | − | 0.371798i | ||||
\(319\) | −2.38991 | − | 4.13944i | −0.133809 | − | 0.231764i | ||||
\(320\) | 2.18724 | − | 3.78841i | 0.122270 | − | 0.211779i | ||||
\(321\) | 2.13398 | + | 3.30075i | 0.119107 | + | 0.184230i | ||||
\(322\) | 12.8330 | − | 2.00235i | 0.715155 | − | 0.111587i | ||||
\(323\) | − | 7.41214i | − | 0.412423i | ||||||
\(324\) | −12.9753 | + | 2.64761i | −0.720848 | + | 0.147090i | ||||
\(325\) | 2.86228 | − | 1.65254i | 0.158771 | − | 0.0916665i | ||||
\(326\) | 32.5655 | − | 18.8017i | 1.80363 | − | 1.04133i | ||||
\(327\) | 1.48513 | + | 29.4878i | 0.0821280 | + | 1.63068i | ||||
\(328\) | 9.26426i | 0.511533i | ||||||||
\(329\) | −17.2314 | − | 21.3792i | −0.949999 | − | 1.17867i | ||||
\(330\) | −12.2590 | + | 7.92561i | −0.674835 | + | 0.436291i | ||||
\(331\) | 7.09976 | − | 12.2972i | 0.390238 | − | 0.675913i | −0.602242 | − | 0.798313i | \(-0.705726\pi\) |
0.992481 | + | 0.122401i | \(0.0390593\pi\) | |||||||
\(332\) | 10.0796 | + | 17.4583i | 0.553187 | + | 0.958149i | ||||
\(333\) | 10.9274 | − | 1.10351i | 0.598820 | − | 0.0604718i | ||||
\(334\) | −3.07744 | − | 1.77676i | −0.168390 | − | 0.0972202i | ||||
\(335\) | 4.97181 | 0.271639 | ||||||||
\(336\) | −4.45927 | − | 21.4356i | −0.243273 | − | 1.16941i | ||||
\(337\) | 12.1072 | 0.659520 | 0.329760 | − | 0.944065i | \(-0.393032\pi\) | ||||
0.329760 | + | 0.944065i | \(0.393032\pi\) | |||||||
\(338\) | 1.61355 | + | 0.931585i | 0.0877657 | + | 0.0506716i | ||||
\(339\) | −11.7764 | + | 22.9964i | −0.639604 | + | 1.24899i | ||||
\(340\) | −0.916350 | − | 1.58716i | −0.0496960 | − | 0.0860761i | ||||
\(341\) | 0.941952 | − | 1.63151i | 0.0510096 | − | 0.0883512i | ||||
\(342\) | 17.7746 | − | 39.4885i | 0.961141 | − | 2.13529i | ||||
\(343\) | 16.5592 | − | 8.29416i | 0.894112 | − | 0.447843i | ||||
\(344\) | − | 5.96320i | − | 0.321514i | ||||||
\(345\) | −5.93382 | + | 0.298853i | −0.319466 | + | 0.0160897i | ||||
\(346\) | −26.5310 | + | 15.3177i | −1.42632 | + | 0.823485i | ||||
\(347\) | 28.8243 | − | 16.6417i | 1.54737 | − | 0.893373i | 0.549027 | − | 0.835805i | \(-0.314999\pi\) |
0.998342 | − | 0.0575687i | \(-0.0183348\pi\) | |||||||
\(348\) | 3.50148 | − | 0.176350i | 0.187699 | − | 0.00945334i | ||||
\(349\) | − | 18.2529i | − | 0.977056i | −0.872548 | − | 0.488528i | \(-0.837534\pi\) | ||
0.872548 | − | 0.488528i | \(-0.162466\pi\) | |||||||
\(350\) | 15.1968 | + | 5.87356i | 0.812302 | + | 0.313955i | ||||
\(351\) | −5.13705 | + | 0.781464i | −0.274196 | + | 0.0417115i | ||||
\(352\) | 12.0430 | − | 20.8592i | 0.641896 | − | 1.11180i | ||||
\(353\) | 1.07945 | + | 1.86966i | 0.0574534 | + | 0.0995122i | 0.893322 | − | 0.449418i | \(-0.148369\pi\) |
−0.835868 | + | 0.548930i | \(0.815035\pi\) | |||||||
\(354\) | −4.65021 | + | 9.08075i | −0.247156 | + | 0.482637i | ||||
\(355\) | 18.5894 | + | 10.7326i | 0.986621 | + | 0.569626i | ||||
\(356\) | 2.49174 | 0.132062 | ||||||||
\(357\) | −4.16375 | − | 1.37286i | −0.220369 | − | 0.0726597i | ||||
\(358\) | −7.63508 | −0.403527 | ||||||||
\(359\) | −22.7538 | − | 13.1369i | −1.20090 | − | 0.693341i | −0.240146 | − | 0.970737i | \(-0.577195\pi\) |
−0.960756 | + | 0.277396i | \(0.910529\pi\) | |||||||
\(360\) | 0.386479 | + | 3.82710i | 0.0203692 | + | 0.201706i | ||||
\(361\) | 20.5115 | + | 35.5270i | 1.07955 | + | 1.86984i | ||||
\(362\) | 9.21235 | − | 15.9563i | 0.484190 | − | 0.838642i | ||||
\(363\) | −1.56029 | + | 1.00875i | −0.0818942 | + | 0.0529457i | ||||
\(364\) | 0.600165 | + | 3.84643i | 0.0314572 | + | 0.201608i | ||||
\(365\) | 10.9840i | 0.574931i | ||||||||
\(366\) | 1.83077 | + | 36.3506i | 0.0956961 | + | 1.90007i | ||||
\(367\) | 2.53282 | − | 1.46232i | 0.132212 | − | 0.0763327i | −0.432435 | − | 0.901665i | \(-0.642346\pi\) |
0.564647 | + | 0.825332i | \(0.309012\pi\) | |||||||
\(368\) | 10.9020 | − | 6.29428i | 0.568306 | − | 0.328112i | ||||
\(369\) | 16.4940 | + | 22.8978i | 0.858645 | + | 1.19201i | ||||
\(370\) | 8.88030i | 0.461665i | ||||||||
\(371\) | −1.83851 | − | 11.7829i | −0.0954507 | − | 0.611739i | ||||
\(372\) | 0.750226 | + | 1.16042i | 0.0388974 | + | 0.0601648i | ||||
\(373\) | −11.2076 | + | 19.4121i | −0.580306 | + | 1.00512i | 0.415137 | + | 0.909759i | \(0.363734\pi\) |
−0.995443 | + | 0.0953600i | \(0.969600\pi\) | |||||||
\(374\) | −3.09678 | − | 5.36377i | −0.160131 | − | 0.277354i | ||||
\(375\) | −16.6689 | − | 8.53608i | −0.860780 | − | 0.440801i | ||||
\(376\) | −8.85201 | − | 5.11071i | −0.456508 | − | 0.263565i | ||||
\(377\) | 1.37565 | 0.0708498 | ||||||||
\(378\) | −18.8904 | − | 17.2988i | −0.971615 | − | 0.889756i | ||||
\(379\) | −30.2646 | −1.55459 | −0.777293 | − | 0.629139i | \(-0.783408\pi\) | ||||
−0.777293 | + | 0.629139i | \(0.783408\pi\) | |||||||
\(380\) | 12.8527 | + | 7.42053i | 0.659332 | + | 0.380665i | ||||
\(381\) | −4.49088 | − | 2.29976i | −0.230075 | − | 0.117820i | ||||
\(382\) | 20.2763 | + | 35.1196i | 1.03743 | + | 1.79688i | ||||
\(383\) | 1.51228 | − | 2.61935i | 0.0772741 | − | 0.133843i | −0.824799 | − | 0.565426i | \(-0.808712\pi\) |
0.902073 | + | 0.431584i | \(0.142045\pi\) | |||||||
\(384\) | −7.15040 | − | 11.0599i | −0.364892 | − | 0.564400i | ||||
\(385\) | −11.1633 | − | 4.31463i | −0.568936 | − | 0.219894i | ||||
\(386\) | − | 15.3327i | − | 0.780416i | ||||||
\(387\) | −10.6168 | − | 14.7388i | −0.539685 | − | 0.749215i | ||||
\(388\) | −17.1674 | + | 9.91161i | −0.871543 | + | 0.503186i | ||||
\(389\) | −1.39609 | + | 0.806033i | −0.0707846 | + | 0.0408675i | −0.534975 | − | 0.844868i | \(-0.679679\pi\) |
0.464190 | + | 0.885736i | \(0.346345\pi\) | |||||||
\(390\) | −0.211330 | − | 4.19602i | −0.0107011 | − | 0.212474i | ||||
\(391\) | − | 2.52078i | − | 0.127481i | ||||||
\(392\) | 4.63650 | − | 5.10205i | 0.234179 | − | 0.257692i | ||||
\(393\) | −0.973938 | + | 0.629664i | −0.0491287 | + | 0.0317624i | ||||
\(394\) | −14.8455 | + | 25.7132i | −0.747907 | + | 1.29541i | ||||
\(395\) | 0.0126379 | + | 0.0218895i | 0.000635882 | + | 0.00110138i | ||||
\(396\) | −1.54102 | − | 15.2599i | −0.0774392 | − | 0.766840i | ||||
\(397\) | 7.52852 | + | 4.34660i | 0.377846 | + | 0.218149i | 0.676881 | − | 0.736093i | \(-0.263331\pi\) |
−0.299035 | + | 0.954242i | \(0.596665\pi\) | |||||||
\(398\) | 0.735686 | 0.0368766 | ||||||||
\(399\) | 34.7591 | − | 7.23097i | 1.74013 | − | 0.362001i | ||||
\(400\) | 15.7909 | 0.789547 | ||||||||
\(401\) | 22.2992 | + | 12.8744i | 1.11357 | + | 0.642918i | 0.939751 | − | 0.341860i | \(-0.111057\pi\) |
0.173816 | + | 0.984778i | \(0.444390\pi\) | |||||||
\(402\) | −5.61736 | + | 10.9694i | −0.280169 | + | 0.547103i | ||||
\(403\) | 0.271098 | + | 0.469556i | 0.0135044 | + | 0.0233902i | ||||
\(404\) | −4.85111 | + | 8.40236i | −0.241352 | + | 0.418033i | ||||
\(405\) | 7.76897 | + | 8.77106i | 0.386043 | + | 0.435838i | ||||
\(406\) | 4.25548 | + | 5.27982i | 0.211196 | + | 0.262033i | ||||
\(407\) | 12.7205i | 0.630530i | ||||||||
\(408\) | −1.62994 | + | 0.0820910i | −0.0806942 | + | 0.00406411i | ||||
\(409\) | −18.8027 | + | 10.8557i | −0.929732 | + | 0.536781i | −0.886727 | − | 0.462294i | \(-0.847026\pi\) |
−0.0430050 | + | 0.999075i | \(0.513693\pi\) | |||||||
\(410\) | −19.7602 | + | 11.4086i | −0.975888 | + | 0.563429i | ||||
\(411\) | 14.7909 | − | 0.744937i | 0.729583 | − | 0.0367450i | ||||
\(412\) | − | 10.0374i | − | 0.494509i | ||||||
\(413\) | −8.26429 | + | 1.28949i | −0.406659 | + | 0.0634517i | ||||
\(414\) | 6.04493 | − | 13.4295i | 0.297092 | − | 0.660026i | ||||
\(415\) | 8.91834 | − | 15.4470i | 0.437784 | − | 0.758264i | ||||
\(416\) | 3.46604 | + | 6.00336i | 0.169937 | + | 0.294339i | ||||
\(417\) | −15.2637 | + | 29.8064i | −0.747468 | + | 1.45963i | ||||
\(418\) | 43.4354 | + | 25.0775i | 2.12450 | + | 1.22658i | ||||
\(419\) | −7.03963 | −0.343908 | −0.171954 | − | 0.985105i | \(-0.555008\pi\) | ||||
−0.171954 | + | 0.985105i | \(0.555008\pi\) | |||||||
\(420\) | 6.54903 | − | 5.84558i | 0.319560 | − | 0.285235i | ||||
\(421\) | −3.33312 | −0.162446 | −0.0812231 | − | 0.996696i | \(-0.525883\pi\) | ||||
−0.0812231 | + | 0.996696i | \(0.525883\pi\) | |||||||
\(422\) | −11.7977 | − | 6.81142i | −0.574304 | − | 0.331575i | ||||
\(423\) | −30.9780 | + | 3.12831i | −1.50620 | + | 0.152103i | ||||
\(424\) | −2.21960 | − | 3.84446i | −0.107793 | − | 0.186703i | ||||
\(425\) | 1.58102 | − | 2.73841i | 0.0766907 | − | 0.132832i | ||||
\(426\) | −44.6825 | + | 28.8879i | −2.16487 | + | 1.39962i | ||||
\(427\) | −23.2330 | + | 18.7256i | −1.12432 | + | 0.906193i | ||||
\(428\) | − | 3.33902i | − | 0.161398i | ||||||
\(429\) | −0.302717 | − | 6.01053i | −0.0146153 | − | 0.290191i | ||||
\(430\) | 12.7192 | − | 7.34344i | 0.613375 | − | 0.354132i | ||||
\(431\) | 31.4183 | − | 18.1394i | 1.51337 | − | 0.873743i | 0.513490 | − | 0.858096i | \(-0.328352\pi\) |
0.999878 | − | 0.0156476i | \(-0.00498098\pi\) | |||||||
\(432\) | −23.1223 | − | 9.03841i | −1.11247 | − | 0.434860i | ||||
\(433\) | 30.5146i | 1.46644i | 0.679993 | + | 0.733219i | \(0.261983\pi\) | ||||
−0.679993 | + | 0.733219i | \(0.738017\pi\) | |||||||
\(434\) | −0.963554 | + | 2.49302i | −0.0462521 | + | 0.119669i | ||||
\(435\) | −1.68417 | − | 2.60501i | −0.0807500 | − | 0.124901i | ||||
\(436\) | 12.5410 | − | 21.7217i | 0.600606 | − | 1.04028i | ||||
\(437\) | 10.2065 | + | 17.6782i | 0.488245 | + | 0.845665i | ||||
\(438\) | −24.2342 | − | 12.4102i | −1.15796 | − | 0.592984i | ||||
\(439\) | −8.59972 | − | 4.96505i | −0.410442 | − | 0.236969i | 0.280538 | − | 0.959843i | \(-0.409487\pi\) |
−0.690980 | + | 0.722874i | \(0.742821\pi\) | |||||||
\(440\) | −4.45506 | −0.212387 | ||||||||
\(441\) | 2.37604 | − | 20.8651i | 0.113145 | − | 0.993578i | ||||
\(442\) | 1.78253 | 0.0847864 | ||||||||
\(443\) | 27.5184 | + | 15.8877i | 1.30744 | + | 0.754849i | 0.981668 | − | 0.190600i | \(-0.0610434\pi\) |
0.325769 | + | 0.945449i | \(0.394377\pi\) | |||||||
\(444\) | −8.30466 | − | 4.25277i | −0.394121 | − | 0.201828i | ||||
\(445\) | −1.10234 | − | 1.90931i | −0.0522558 | − | 0.0905098i | ||||
\(446\) | −25.3164 | + | 43.8493i | −1.19877 | + | 2.07633i | ||||
\(447\) | 5.54636 | + | 8.57887i | 0.262334 | + | 0.405767i | ||||
\(448\) | −3.20493 | + | 8.29218i | −0.151419 | + | 0.391769i | ||||
\(449\) | − | 40.0170i | − | 1.88852i | −0.329204 | − | 0.944259i | \(-0.606780\pi\) | ||
0.329204 | − | 0.944259i | \(-0.393220\pi\) | |||||||
\(450\) | 14.9897 | − | 10.7976i | 0.706623 | − | 0.509004i | ||||
\(451\) | −28.3053 | + | 16.3420i | −1.33284 | + | 0.769517i | ||||
\(452\) | 19.0079 | − | 10.9742i | 0.894054 | − | 0.516183i | ||||
\(453\) | −0.772770 | − | 15.3436i | −0.0363079 | − | 0.720905i | ||||
\(454\) | 9.03345i | 0.423961i | ||||||||
\(455\) | 2.68183 | − | 2.16153i | 0.125726 | − | 0.101334i | ||||
\(456\) | 11.0984 | − | 7.17528i | 0.519731 | − | 0.336013i | ||||
\(457\) | 5.31734 | − | 9.20991i | 0.248735 | − | 0.430821i | −0.714440 | − | 0.699697i | \(-0.753319\pi\) |
0.963175 | + | 0.268875i | \(0.0866519\pi\) | |||||||
\(458\) | 9.77244 | + | 16.9264i | 0.456636 | + | 0.790917i | ||||
\(459\) | −3.88245 | + | 3.10484i | −0.181217 | + | 0.144921i | ||||
\(460\) | 4.37106 | + | 2.52363i | 0.203802 | + | 0.117665i | ||||
\(461\) | −22.4080 | −1.04364 | −0.521822 | − | 0.853054i | \(-0.674747\pi\) | ||||
−0.521822 | + | 0.853054i | \(0.674747\pi\) | |||||||
\(462\) | 22.1322 | − | 19.7549i | 1.02968 | − | 0.919083i | ||||
\(463\) | 22.7448 | 1.05704 | 0.528521 | − | 0.848921i | \(-0.322747\pi\) | ||||
0.528521 | + | 0.848921i | \(0.322747\pi\) | |||||||
\(464\) | 5.69201 | + | 3.28628i | 0.264245 | + | 0.152562i | ||||
\(465\) | 0.557277 | − | 1.08823i | 0.0258431 | − | 0.0504654i | ||||
\(466\) | 14.1418 | + | 24.4944i | 0.655108 | + | 1.13468i | ||||
\(467\) | 3.82865 | − | 6.63141i | 0.177169 | − | 0.306865i | −0.763741 | − | 0.645523i | \(-0.776640\pi\) |
0.940910 | + | 0.338658i | \(0.109973\pi\) | |||||||
\(468\) | 4.02523 | + | 1.81184i | 0.186066 | + | 0.0837525i | ||||
\(469\) | −9.98311 | + | 1.55768i | −0.460977 | + | 0.0719270i | ||||
\(470\) | − | 25.1745i | − | 1.16122i | ||||||
\(471\) | −2.30758 | + | 0.116220i | −0.106328 | + | 0.00535513i | ||||
\(472\) | −2.69642 | + | 1.55678i | −0.124113 | + | 0.0716565i | ||||
\(473\) | 18.2195 | − | 10.5190i | 0.837732 | − | 0.483665i | ||||
\(474\) | −0.0625740 | + | 0.00315150i | −0.00287412 | + | 0.000144753i | ||||
\(475\) | 25.6060i | 1.17488i | ||||||||
\(476\) | 2.33724 | + | 2.89984i | 0.107127 | + | 0.132914i | ||||
\(477\) | −12.3307 | − | 5.55030i | −0.564582 | − | 0.254131i | ||||
\(478\) | 14.7039 | − | 25.4679i | 0.672540 | − | 1.16487i | ||||
\(479\) | −11.7971 | − | 20.4332i | −0.539024 | − | 0.933617i | −0.998957 | − | 0.0456635i | \(-0.985460\pi\) |
0.459933 | − | 0.887954i | \(-0.347874\pi\) | |||||||
\(480\) | 7.12490 | − | 13.9132i | 0.325205 | − | 0.635049i | ||||
\(481\) | −3.17052 | − | 1.83050i | −0.144563 | − | 0.0834637i | ||||
\(482\) | −26.2160 | −1.19410 | ||||||||
\(483\) | 11.8211 | − | 2.45916i | 0.537881 | − | 0.111896i | ||||
\(484\) | 1.57838 | 0.0717447 | ||||||||
\(485\) | 15.1896 | + | 8.76974i | 0.689726 | + | 0.398214i | ||||
\(486\) | −28.1294 | + | 7.23087i | −1.27598 | + | 0.327999i | ||||
\(487\) | −13.9941 | − | 24.2384i | −0.634132 | − | 1.09835i | −0.986698 | − | 0.162561i | \(-0.948024\pi\) |
0.352567 | − | 0.935787i | \(-0.385309\pi\) | |||||||
\(488\) | −5.55386 | + | 9.61957i | −0.251411 | + | 0.435457i | ||||
\(489\) | 29.3562 | − | 18.9792i | 1.32753 | − | 0.858268i | ||||
\(490\) | 16.5921 | + | 3.60647i | 0.749554 | + | 0.162923i | ||||
\(491\) | 0.562924i | 0.0254044i | 0.999919 | + | 0.0127022i | \(0.00404335\pi\) | ||||
−0.999919 | + | 0.0127022i | \(0.995957\pi\) | |||||||
\(492\) | −1.20587 | − | 23.9429i | −0.0543647 | − | 1.07943i | ||||
\(493\) | 1.13979 | − | 0.658058i | 0.0513336 | − | 0.0296374i | ||||
\(494\) | −12.5009 | + | 7.21741i | −0.562443 | + | 0.324727i | ||||
\(495\) | −11.0112 | + | 7.93176i | −0.494919 | + | 0.356506i | ||||
\(496\) | 2.59049i | 0.116317i | ||||||||
\(497\) | −40.6889 | − | 15.7263i | −1.82515 | − | 0.705420i | ||||
\(498\) | 24.0047 | + | 37.1294i | 1.07567 | + | 1.66381i | ||||
\(499\) | −0.624553 | + | 1.08176i | −0.0279589 | + | 0.0484262i | −0.879666 | − | 0.475591i | \(-0.842234\pi\) |
0.851707 | + | 0.524018i | \(0.175567\pi\) | |||||||
\(500\) | 7.95463 | + | 13.7778i | 0.355742 | + | 0.616163i | ||||
\(501\) | −2.94033 | − | 1.50573i | −0.131364 | − | 0.0672711i | ||||
\(502\) | 10.3633 | + | 5.98325i | 0.462537 | + | 0.267046i | ||||
\(503\) | 9.12488 | 0.406858 | 0.203429 | − | 0.979090i | \(-0.434791\pi\) | ||||
0.203429 | + | 0.979090i | \(0.434791\pi\) | |||||||
\(504\) | −1.97507 | − | 7.56350i | −0.0879765 | − | 0.336905i | ||||
\(505\) | 8.58447 | 0.382004 | ||||||||
\(506\) | 14.7719 | + | 8.52854i | 0.656689 | + | 0.379140i | ||||
\(507\) | 1.54166 | + | 0.789478i | 0.0684676 | + | 0.0350620i | ||||
\(508\) | 2.14311 | + | 3.71197i | 0.0950849 | + | 0.164692i | ||||
\(509\) | −6.29994 | + | 10.9118i | −0.279240 | + | 0.483658i | −0.971196 | − | 0.238282i | \(-0.923416\pi\) |
0.691956 | + | 0.721939i | \(0.256749\pi\) | |||||||
\(510\) | −2.18231 | − | 3.37550i | −0.0966341 | − | 0.149469i | ||||
\(511\) | −3.44133 | − | 22.0553i | −0.152235 | − | 0.975670i | ||||
\(512\) | 23.7090i | 1.04780i | ||||||||
\(513\) | 14.6563 | − | 37.4942i | 0.647092 | − | 1.65541i | ||||
\(514\) | −6.77451 | + | 3.91126i | −0.298811 | + | 0.172518i | ||||
\(515\) | −7.69123 | + | 4.44053i | −0.338916 | + | 0.195673i | ||||
\(516\) | 0.776191 | + | 15.4115i | 0.0341699 | + | 0.678453i | ||||
\(517\) | − | 36.0609i | − | 1.58596i | ||||||
\(518\) | −2.78222 | − | 17.8311i | −0.122244 | − | 0.783455i | ||||
\(519\) | −23.9165 | + | 15.4623i | −1.04982 | + | 0.678721i | ||||
\(520\) | 0.641093 | − | 1.11041i | 0.0281138 | − | 0.0486945i | ||||
\(521\) | −4.24345 | − | 7.34987i | −0.185909 | − | 0.322004i | 0.757974 | − | 0.652285i | \(-0.226190\pi\) |
−0.943882 | + | 0.330282i | \(0.892856\pi\) | |||||||
\(522\) | 7.65032 | − | 0.772567i | 0.334845 | − | 0.0338143i | ||||
\(523\) | 13.8668 | + | 8.00601i | 0.606354 | + | 0.350078i | 0.771537 | − | 0.636184i | \(-0.219488\pi\) |
−0.165183 | + | 0.986263i | \(0.552822\pi\) | |||||||
\(524\) | 0.985230 | 0.0430400 | ||||||||
\(525\) | 14.3841 | + | 4.74269i | 0.627773 | + | 0.206988i | ||||
\(526\) | 32.1938 | 1.40372 | ||||||||
\(527\) | 0.449234 | + | 0.259365i | 0.0195689 | + | 0.0112981i | ||||
\(528\) | 13.1059 | − | 25.5928i | 0.570363 | − | 1.11378i | ||||
\(529\) | −8.02888 | − | 13.9064i | −0.349082 | − | 0.604627i | ||||
\(530\) | 5.46669 | − | 9.46859i | 0.237458 | − | 0.411289i | ||||
\(531\) | −3.89286 | + | 8.64846i | −0.168936 | + | 0.375311i | ||||
\(532\) | −28.1324 | − | 10.8732i | −1.21970 | − | 0.471413i | ||||
\(533\) | − | 9.40663i | − | 0.407446i | ||||||
\(534\) | 5.45800 | − | 0.274889i | 0.236191 | − | 0.0118956i | ||||
\(535\) | −2.55854 | + | 1.47718i | −0.110615 | + | 0.0638639i | ||||
\(536\) | −3.25722 | + | 1.88056i | −0.140691 | + | 0.0812277i | ||||
\(537\) | −7.08879 | + | 0.357022i | −0.305904 | + | 0.0154066i | ||||
\(538\) | − | 7.04093i | − | 0.303556i | ||||||
\(539\) | 23.7671 | + | 5.16603i | 1.02372 | + | 0.222517i | ||||
\(540\) | −1.49698 | − | 9.84057i | −0.0644196 | − | 0.423471i | ||||
\(541\) | −6.56009 | + | 11.3624i | −0.282040 | + | 0.488508i | −0.971887 | − | 0.235447i | \(-0.924344\pi\) |
0.689847 | + | 0.723955i | \(0.257678\pi\) | |||||||
\(542\) | 20.6734 | + | 35.8074i | 0.887999 | + | 1.53806i | ||||
\(543\) | 7.80707 | − | 15.2453i | 0.335033 | − | 0.654240i | ||||
\(544\) | 5.74354 | + | 3.31603i | 0.246252 | + | 0.142174i | ||||
\(545\) | −22.1925 | −0.950621 | ||||||||
\(546\) | 1.73896 | + | 8.35916i | 0.0744207 | + | 0.357739i | ||||
\(547\) | −10.2040 | −0.436293 | −0.218147 | − | 0.975916i | \(-0.570001\pi\) | ||||
−0.218147 | + | 0.975916i | \(0.570001\pi\) | |||||||
\(548\) | −10.8955 | − | 6.29053i | −0.465433 | − | 0.268718i | ||||
\(549\) | 3.39956 | + | 33.6640i | 0.145090 | + | 1.43675i | ||||
\(550\) | 10.6981 | + | 18.5297i | 0.456169 | + | 0.790108i | ||||
\(551\) | −5.32890 | + | 9.22993i | −0.227019 | + | 0.393208i | ||||
\(552\) | 3.77444 | − | 2.44023i | 0.160651 | − | 0.103863i | ||||
\(553\) | −0.0322342 | − | 0.0399934i | −0.00137074 | − | 0.00170069i | ||||
\(554\) | − | 58.8803i | − | 2.50158i | ||||||
\(555\) | 0.415249 | + | 8.24490i | 0.0176264 | + | 0.349977i | ||||
\(556\) | 24.6367 | − | 14.2240i | 1.04483 | − | 0.603233i | ||||
\(557\) | 5.48064 | − | 3.16425i | 0.232222 | − | 0.134074i | −0.379375 | − | 0.925243i | \(-0.623861\pi\) |
0.611597 | + | 0.791170i | \(0.290527\pi\) | |||||||
\(558\) | 1.77134 | + | 2.45906i | 0.0749868 | + | 0.104100i | ||||
\(559\) | 6.05484i | 0.256092i | ||||||||
\(560\) | 16.2602 | − | 2.53711i | 0.687119 | − | 0.107212i | ||||
\(561\) | −3.12601 | − | 4.83518i | −0.131980 | − | 0.204142i | ||||
\(562\) | 25.3156 | − | 43.8479i | 1.06787 | − | 1.84961i | ||||
\(563\) | −5.14937 | − | 8.91897i | −0.217020 | − | 0.375890i | 0.736875 | − | 0.676029i | \(-0.236300\pi\) |
−0.953896 | + | 0.300139i | \(0.902967\pi\) | |||||||
\(564\) | 23.5427 | + | 12.0561i | 0.991326 | + | 0.507653i | ||||
\(565\) | −16.8181 | − | 9.70991i | −0.707541 | − | 0.408499i | ||||
\(566\) | −9.61425 | −0.404117 | ||||||||
\(567\) | −18.3476 | − | 15.1777i | −0.770529 | − | 0.637406i | ||||
\(568\) | −16.2381 | −0.681337 | ||||||||
\(569\) | 19.0928 | + | 11.0232i | 0.800410 | + | 0.462117i | 0.843615 | − | 0.536949i | \(-0.180423\pi\) |
−0.0432043 | + | 0.999066i | \(0.513757\pi\) | |||||||
\(570\) | 28.9718 | + | 14.8363i | 1.21349 | + | 0.621425i | ||||
\(571\) | −5.40225 | − | 9.35697i | −0.226077 | − | 0.391577i | 0.730565 | − | 0.682843i | \(-0.239257\pi\) |
−0.956642 | + | 0.291266i | \(0.905923\pi\) | |||||||
\(572\) | −2.55625 | + | 4.42756i | −0.106882 | + | 0.185126i | ||||
\(573\) | 20.4677 | + | 31.6586i | 0.855052 | + | 1.32256i | ||||
\(574\) | 36.1030 | − | 29.0987i | 1.50691 | − | 1.21456i | ||||
\(575\) | 8.70827i | 0.363160i | ||||||||
\(576\) | 5.89176 | + | 8.17921i | 0.245490 | + | 0.340800i | ||||
\(577\) | −26.0649 | + | 15.0486i | −1.08509 | + | 0.626480i | −0.932266 | − | 0.361773i | \(-0.882172\pi\) |
−0.152829 | + | 0.988253i | \(0.548838\pi\) | |||||||
\(578\) | −25.9535 | + | 14.9843i | −1.07952 | + | 0.623263i | ||||
\(579\) | −0.716970 | − | 14.2357i | −0.0297963 | − | 0.591614i | ||||
\(580\) | 2.63521i | 0.109421i | ||||||||
\(581\) | −13.0679 | + | 33.8109i | −0.542149 | + | 1.40271i | ||||
\(582\) | −36.5107 | + | 23.6047i | −1.51342 | + | 0.978446i | ||||
\(583\) | 7.83069 | − | 13.5632i | 0.324314 | − | 0.561728i | ||||
\(584\) | −4.15465 | − | 7.19606i | −0.171921 | − | 0.297775i | ||||
\(585\) | −0.392418 | − | 3.88591i | −0.0162245 | − | 0.160663i | ||||
\(586\) | −47.1779 | − | 27.2382i | −1.94890 | − | 1.12520i | ||||
\(587\) | −15.0550 | −0.621385 | −0.310693 | − | 0.950510i | \(-0.600561\pi\) | ||||
−0.310693 | + | 0.950510i | \(0.600561\pi\) | |||||||
\(588\) | −11.3186 | + | 13.7894i | −0.466773 | + | 0.568666i | ||||
\(589\) | −4.20064 | −0.173084 | ||||||||
\(590\) | −6.64106 | − | 3.83422i | −0.273408 | − | 0.157852i | ||||
\(591\) | −12.5809 | + | 24.5676i | −0.517511 | + | 1.01058i | ||||
\(592\) | −8.74574 | − | 15.1481i | −0.359448 | − | 0.622582i | ||||
\(593\) | −4.89393 | + | 8.47653i | −0.200969 | + | 0.348089i | −0.948841 | − | 0.315754i | \(-0.897743\pi\) |
0.747872 | + | 0.663843i | \(0.231076\pi\) | |||||||
\(594\) | −5.05899 | − | 33.2559i | −0.207573 | − | 1.36451i | ||||
\(595\) | 1.18803 | − | 3.07380i | 0.0487044 | − | 0.126014i | ||||
\(596\) | − | 8.67833i | − | 0.355478i | ||||||
\(597\) | 0.683047 | − | 0.0344012i | 0.0279552 | − | 0.00140795i | ||||
\(598\) | −4.25141 | + | 2.45455i | −0.173853 | + | 0.100374i | ||||
\(599\) | −17.6231 | + | 10.1747i | −0.720062 | + | 0.415728i | −0.814775 | − | 0.579777i | \(-0.803140\pi\) |
0.0947136 | + | 0.995505i | \(0.469806\pi\) | |||||||
\(600\) | 5.63079 | − | 0.283591i | 0.229876 | − | 0.0115776i | ||||
\(601\) | 4.67290i | 0.190612i | 0.995448 | + | 0.0953058i | \(0.0303829\pi\) | ||||
−0.995448 | + | 0.0953058i | \(0.969617\pi\) | |||||||
\(602\) | −23.2387 | + | 18.7302i | −0.947140 | + | 0.763385i | ||||
\(603\) | −4.70250 | + | 10.4472i | −0.191501 | + | 0.425442i | ||||
\(604\) | −6.52557 | + | 11.3026i | −0.265522 | + | 0.459897i | ||||
\(605\) | −0.698273 | − | 1.20944i | −0.0283888 | − | 0.0491709i | ||||
\(606\) | −9.69910 | + | 18.9400i | −0.393999 | + | 0.769386i | ||||
\(607\) | 40.5639 | + | 23.4196i | 1.64644 | + | 0.950572i | 0.978472 | + | 0.206381i | \(0.0661686\pi\) |
0.667967 | + | 0.744191i | \(0.267165\pi\) | |||||||
\(608\) | −53.7060 | −2.17807 | ||||||||
\(609\) | 4.19788 | + | 4.70305i | 0.170107 | + | 0.190577i | ||||
\(610\) | −27.3574 | −1.10767 | ||||||||
\(611\) | 8.98805 | + | 5.18925i | 0.363617 | + | 0.209935i | ||||
\(612\) | 4.20179 | − | 0.424318i | 0.169847 | − | 0.0171520i | ||||
\(613\) | −16.8531 | − | 29.1904i | −0.680690 | − | 1.17899i | −0.974771 | − | 0.223209i | \(-0.928347\pi\) |
0.294080 | − | 0.955781i | \(-0.404987\pi\) | |||||||
\(614\) | −4.18924 | + | 7.25597i | −0.169064 | + | 0.292827i | ||||
\(615\) | −17.8129 | + | 11.5163i | −0.718285 | + | 0.464381i | ||||
\(616\) | 8.94550 | − | 1.39578i | 0.360425 | − | 0.0562377i | ||||
\(617\) | 44.3597i | 1.78585i | 0.450202 | + | 0.892927i | \(0.351352\pi\) | ||||
−0.450202 | + | 0.892927i | \(0.648648\pi\) | |||||||
\(618\) | −1.10733 | − | 21.9864i | −0.0445434 | − | 0.884422i | ||||
\(619\) | 30.1275 | − | 17.3941i | 1.21093 | − | 0.699130i | 0.247967 | − | 0.968769i | \(-0.420238\pi\) |
0.962962 | + | 0.269639i | \(0.0869043\pi\) | |||||||
\(620\) | −0.899484 | + | 0.519317i | −0.0361242 | + | 0.0208563i | ||||
\(621\) | 4.98443 | − | 12.7513i | 0.200018 | − | 0.511692i | ||||
\(622\) | 2.40744i | 0.0965294i | ||||||||
\(623\) | 2.81162 | + | 3.48841i | 0.112645 | + | 0.139760i | ||||
\(624\) | 4.49293 | + | 6.94947i | 0.179861 | + | 0.278201i | ||||
\(625\) | −1.22448 | + | 2.12087i | −0.0489793 | + | 0.0848346i | ||||
\(626\) | −2.96674 | − | 5.13854i | −0.118575 | − | 0.205377i | ||||
\(627\) | 41.5002 | + | 21.2521i | 1.65736 | + | 0.848726i | ||||
\(628\) | 1.69984 | + | 0.981404i | 0.0678311 | + | 0.0391623i | ||||
\(629\) | −3.50256 | −0.139656 | ||||||||
\(630\) | 13.7004 | − | 13.5269i | 0.545836 | − | 0.538923i | ||||
\(631\) | 23.6044 | 0.939676 | 0.469838 | − | 0.882753i | \(-0.344312\pi\) | ||||
0.469838 | + | 0.882753i | \(0.344312\pi\) | |||||||
\(632\) | −0.0165592 | − | 0.00956043i | −0.000658688 | − | 0.000380294i | ||||
\(633\) | −11.2721 | − | 5.77238i | −0.448025 | − | 0.229432i | ||||
\(634\) | −8.10167 | − | 14.0325i | −0.321759 | − | 0.557302i | ||||
\(635\) | 1.89621 | − | 3.28433i | 0.0752488 | − | 0.130335i | ||||
\(636\) | 6.23681 | + | 9.64684i | 0.247306 | + | 0.382522i | ||||
\(637\) | −4.70775 | + | 5.18045i | −0.186528 | + | 0.205257i | ||||
\(638\) | 8.90562i | 0.352577i | ||||||||
\(639\) | −40.1346 | + | 28.9103i | −1.58770 | + | 1.14367i | ||||
\(640\) | 8.57299 | − | 4.94962i | 0.338877 | − | 0.195651i | ||||
\(641\) | 27.8316 | − | 16.0686i | 1.09928 | − | 0.634671i | 0.163250 | − | 0.986585i | \(-0.447802\pi\) |
0.936032 | + | 0.351914i | \(0.114469\pi\) | |||||||
\(642\) | −0.368361 | − | 7.31393i | −0.0145381 | − | 0.288658i | ||||
\(643\) | − | 18.7359i | − | 0.738874i | −0.929256 | − | 0.369437i | \(-0.879551\pi\) | ||
0.929256 | − | 0.369437i | \(-0.120449\pi\) | |||||||
\(644\) | −9.56749 | − | 3.69784i | −0.377012 | − | 0.145715i | ||||
\(645\) | 11.4658 | − | 7.41277i | 0.451464 | − | 0.291878i | ||||
\(646\) | −6.90504 | + | 11.9599i | −0.271675 | + | 0.470555i | ||||
\(647\) | −20.4106 | − | 35.3521i | −0.802422 | − | 1.38984i | −0.918018 | − | 0.396539i | \(-0.870211\pi\) |
0.115596 | − | 0.993296i | \(-0.463122\pi\) | |||||||
\(648\) | −8.40735 | − | 2.80769i | −0.330272 | − | 0.110297i | ||||
\(649\) | −9.51290 | − | 5.49227i | −0.373414 | − | 0.215591i | ||||
\(650\) | −6.15793 | −0.241534 | ||||||||
\(651\) | −0.778035 | + | 2.35970i | −0.0304936 | + | 0.0924839i | ||||
\(652\) | −29.6965 | −1.16301 | ||||||||
\(653\) | 13.5824 | + | 7.84181i | 0.531521 | + | 0.306874i | 0.741636 | − | 0.670803i | \(-0.234050\pi\) |
−0.210115 | + | 0.977677i | \(0.567384\pi\) | |||||||
\(654\) | 25.0740 | − | 48.9636i | 0.980472 | − | 1.91463i | ||||
\(655\) | −0.435863 | − | 0.754937i | −0.0170306 | − | 0.0294978i | ||||
\(656\) | 22.4714 | − | 38.9216i | 0.877361 | − | 1.51963i | ||||
\(657\) | −23.0806 | − | 10.3891i | −0.900459 | − | 0.405316i | ||||
\(658\) | 7.88725 | + | 50.5490i | 0.307477 | + | 1.97061i | ||||
\(659\) | − | 27.4350i | − | 1.06872i | −0.845258 | − | 0.534359i | \(-0.820553\pi\) | ||
0.845258 | − | 0.534359i | \(-0.179447\pi\) | |||||||
\(660\) | 11.5138 | − | 0.579886i | 0.448174 | − | 0.0225720i | ||||
\(661\) | −38.6444 | + | 22.3113i | −1.50309 | + | 0.867810i | −0.503098 | + | 0.864230i | \(0.667806\pi\) |
−0.999994 | + | 0.00358060i | \(0.998860\pi\) | |||||||
\(662\) | −22.9117 | + | 13.2281i | −0.890488 | + | 0.514124i | ||||
\(663\) | 1.65499 | − | 0.0833526i | 0.0642745 | − | 0.00323715i | ||||
\(664\) | 13.4932i | 0.523639i | ||||||||
\(665\) | 4.11407 | + | 26.3669i | 0.159537 | + | 1.02246i | ||||
\(666\) | −18.6600 | − | 8.39927i | −0.723061 | − | 0.325465i | ||||
\(667\) | −1.81229 | + | 3.13899i | −0.0701723 | + | 0.121542i | ||||
\(668\) | 1.40317 | + | 2.43035i | 0.0542901 | + | 0.0940332i | ||||
\(669\) | −21.4546 | + | 41.8957i | −0.829482 | + | 1.61978i | ||||
\(670\) | −8.02228 | − | 4.63166i | −0.309928 | − | 0.178937i | ||||
\(671\) | −39.1878 | −1.51283 | ||||||||
\(672\) | −9.94733 | + | 30.1692i | −0.383727 | + | 1.16380i | ||||
\(673\) | 22.0724 | 0.850828 | 0.425414 | − | 0.904999i | \(-0.360129\pi\) | ||||
0.425414 | + | 0.904999i | \(0.360129\pi\) | |||||||
\(674\) | −19.5356 | − | 11.2789i | −0.752482 | − | 0.434446i | ||||
\(675\) | 13.4123 | − | 10.7260i | 0.516240 | − | 0.412842i | ||||
\(676\) | −0.735702 | − | 1.27427i | −0.0282962 | − | 0.0490105i | ||||
\(677\) | 11.3690 | − | 19.6917i | 0.436947 | − | 0.756814i | −0.560505 | − | 0.828151i | \(-0.689393\pi\) |
0.997452 | + | 0.0713366i | \(0.0227265\pi\) | |||||||
\(678\) | 40.4249 | − | 26.1353i | 1.55251 | − | 1.00372i | ||||
\(679\) | −33.2475 | − | 12.8502i | −1.27592 | − | 0.493145i | ||||
\(680\) | − | 1.22669i | − | 0.0470416i | ||||||
\(681\) | 0.422411 | + | 8.38710i | 0.0161868 | + | 0.321394i | ||||
\(682\) | −3.03978 | + | 1.75502i | −0.116399 | + | 0.0672031i | ||||
\(683\) | 14.1921 | − | 8.19382i | 0.543046 | − | 0.313528i | −0.203267 | − | 0.979123i | \(-0.565156\pi\) |
0.746312 | + | 0.665596i | \(0.231822\pi\) | |||||||
\(684\) | −27.7492 | + | 19.9887i | −1.06102 | + | 0.764285i | ||||
\(685\) | 11.1317i | 0.425319i | ||||||||
\(686\) | −34.4459 | − | 2.04323i | −1.31515 | − | 0.0780109i | ||||
\(687\) | 9.86470 | + | 15.2583i | 0.376362 | + | 0.582140i | ||||
\(688\) | −14.4643 | + | 25.0530i | −0.551448 | + | 0.955136i | ||||
\(689\) | 2.25371 | + | 3.90354i | 0.0858594 | + | 0.148713i | ||||
\(690\) | 9.85295 | + | 5.04565i | 0.375095 | + | 0.192085i | ||||
\(691\) | 17.7667 | + | 10.2576i | 0.675878 | + | 0.390219i | 0.798300 | − | 0.602260i | \(-0.205733\pi\) |
−0.122422 | + | 0.992478i | \(0.539066\pi\) | |||||||
\(692\) | 24.1937 | 0.919708 | ||||||||
\(693\) | 19.6249 | − | 19.3764i | 0.745488 | − | 0.736048i | ||||
\(694\) | −62.0127 | −2.35397 | ||||||||
\(695\) | −21.7984 | − | 12.5853i | −0.826862 | − | 0.477389i | ||||
\(696\) | 2.08870 | + | 1.06961i | 0.0791718 | + | 0.0405435i | ||||
\(697\) | −4.49976 | − | 7.79381i | −0.170440 | − | 0.295212i | ||||
\(698\) | −17.0041 | + | 29.4520i | −0.643617 | + | 1.11478i | ||||
\(699\) | 14.2754 | + | 22.0805i | 0.539944 | + | 0.835162i | ||||
\(700\) | −8.07422 | − | 10.0178i | −0.305177 | − | 0.378636i | ||||
\(701\) | 2.09798i | 0.0792395i | 0.999215 | + | 0.0396197i | \(0.0126147\pi\) | ||||
−0.999215 | + | 0.0396197i | \(0.987385\pi\) | |||||||
\(702\) | 9.01691 | + | 3.52467i | 0.340321 | + | 0.133030i | ||||
\(703\) | 24.5635 | − | 14.1817i | 0.926429 | − | 0.534874i | ||||
\(704\) | −10.1108 | + | 5.83746i | −0.381064 | + | 0.220008i | ||||
\(705\) | −1.17718 | − | 23.3733i | −0.0443352 | − | 0.880289i | ||||
\(706\) | − | 4.02240i | − | 0.151385i | ||||||
\(707\) | −17.2371 | + | 2.68954i | −0.648268 | + | 0.101150i | ||||
\(708\) | 6.76608 | − | 4.37437i | 0.254285 | − | 0.164399i | ||||
\(709\) | −18.7002 | + | 32.3897i | −0.702300 | + | 1.21642i | 0.265357 | + | 0.964150i | \(0.414510\pi\) |
−0.967657 | + | 0.252269i | \(0.918823\pi\) | |||||||
\(710\) | −19.9966 | − | 34.6351i | −0.750459 | − | 1.29983i | ||||
\(711\) | −0.0579494 | + | 0.00585201i | −0.00217327 | + | 0.000219468i | ||||
\(712\) | 1.44437 | + | 0.833906i | 0.0541300 | + | 0.0312520i | ||||
\(713\) | −1.42859 | −0.0535010 | ||||||||
\(714\) | 5.43949 | + | 6.09408i | 0.203568 | + | 0.228065i | ||||
\(715\) | 4.52352 | 0.169170 | ||||||||
\(716\) | 5.22184 | + | 3.01483i | 0.195149 | + | 0.112670i | ||||
\(717\) | 12.4609 | − | 24.3332i | 0.465361 | − | 0.908740i | ||||
\(718\) | 24.4763 | + | 42.3943i | 0.913449 | + | 1.58214i | ||||
\(719\) | −1.74183 | + | 3.01694i | −0.0649594 | + | 0.112513i | −0.896676 | − | 0.442687i | \(-0.854025\pi\) |
0.831717 | + | 0.555200i | \(0.187358\pi\) | |||||||
\(720\) | 7.65930 | − | 17.0161i | 0.285445 | − | 0.634152i | ||||
\(721\) | 14.0523 | − | 11.3260i | 0.523336 | − | 0.421803i | ||||
\(722\) | − | 76.4328i | − | 2.84453i | ||||||
\(723\) | −24.3402 | + | 1.22588i | −0.905221 | + | 0.0455909i | ||||
\(724\) | −12.6012 | + | 7.27528i | −0.468318 | + | 0.270384i | ||||
\(725\) | −3.93751 | + | 2.27332i | −0.146236 | + | 0.0844291i | ||||
\(726\) | 3.45735 | − | 0.174127i | 0.128314 | − | 0.00646248i | ||||
\(727\) | − | 1.79727i | − | 0.0666572i | −0.999444 | − | 0.0333286i | \(-0.989389\pi\) | ||
0.999444 | − | 0.0333286i | \(-0.0106108\pi\) | |||||||
\(728\) | −0.939385 | + | 2.43049i | −0.0348159 | + | 0.0900799i | ||||
\(729\) | −25.7786 | + | 8.02884i | −0.954764 | + | 0.297365i | ||||
\(730\) | 10.2326 | − | 17.7233i | 0.378724 | − | 0.655970i | ||||
\(731\) | 2.89639 | + | 5.01670i | 0.107127 | + | 0.185549i | ||||
\(732\) | 13.1015 | − | 25.5841i | 0.484244 | − | 0.945614i | ||||
\(733\) | −21.2295 | − | 12.2569i | −0.784129 | − | 0.452717i | 0.0537623 | − | 0.998554i | \(-0.482879\pi\) |
−0.837892 | + | 0.545836i | \(0.816212\pi\) | |||||||
\(734\) | −5.44911 | −0.201130 | ||||||||
\(735\) | 15.5735 | + | 2.57256i | 0.574439 | + | 0.0948903i | ||||
\(736\) | −18.2647 | −0.673247 | ||||||||
\(737\) | −11.4914 | − | 6.63456i | −0.423291 | − | 0.244387i | ||||
\(738\) | −5.28276 | − | 52.3124i | −0.194461 | − | 1.92565i | ||||
\(739\) | 20.0212 | + | 34.6777i | 0.736492 | + | 1.27564i | 0.954066 | + | 0.299597i | \(0.0968523\pi\) |
−0.217574 | + | 0.976044i | \(0.569814\pi\) | |||||||
\(740\) | 3.50652 | − | 6.07348i | 0.128902 | − | 0.223265i | ||||
\(741\) | −11.2690 | + | 7.28555i | −0.413976 | + | 0.267641i | ||||
\(742\) | −8.01027 | + | 20.7251i | −0.294066 | + | 0.760843i | ||||
\(743\) | 31.6827i | 1.16233i | 0.813787 | + | 0.581163i | \(0.197402\pi\) | ||||
−0.813787 | + | 0.581163i | \(0.802598\pi\) | |||||||
\(744\) | 0.0465230 | + | 0.923728i | 0.00170561 | + | 0.0338655i | ||||
\(745\) | −6.64982 | + | 3.83927i | −0.243630 | + | 0.140660i | ||||
\(746\) | 36.1680 | − | 20.8816i | 1.32420 | − | 0.764530i | ||||
\(747\) | 24.0233 | + | 33.3502i | 0.878966 | + | 1.22022i | ||||
\(748\) | 4.89124i | 0.178842i | ||||||||
\(749\) | 4.67460 | − | 3.76768i | 0.170806 | − | 0.137668i | ||||
\(750\) | 18.9441 | + | 29.3019i | 0.691741 | + | 1.06996i | ||||
\(751\) | −5.38435 | + | 9.32596i | −0.196478 | + | 0.340309i | −0.947384 | − | 0.320100i | \(-0.896284\pi\) |
0.750906 | + | 0.660409i | \(0.229617\pi\) | |||||||
\(752\) | 24.7931 | + | 42.9429i | 0.904111 | + | 1.56597i | ||||
\(753\) | 9.90157 | + | 5.07055i | 0.360833 | + | 0.184781i | ||||
\(754\) | −2.21969 | − | 1.28154i | −0.0808363 | − | 0.0466709i | ||||
\(755\) | 11.5476 | 0.420260 | ||||||||
\(756\) | 6.08892 | + | 19.2903i | 0.221452 | + | 0.701581i | ||||
\(757\) | 20.2177 | 0.734823 | 0.367412 | − | 0.930058i | \(-0.380244\pi\) | ||||
0.367412 | + | 0.930058i | \(0.380244\pi\) | |||||||
\(758\) | 48.8335 | + | 28.1940i | 1.77371 | + | 1.02405i | ||||
\(759\) | 14.1137 | + | 7.22757i | 0.512296 | + | 0.262344i | ||||
\(760\) | 4.96684 | + | 8.60282i | 0.180166 | + | 0.312057i | ||||
\(761\) | 9.72745 | − | 16.8484i | 0.352620 | − | 0.610756i | −0.634088 | − | 0.773261i | \(-0.718624\pi\) |
0.986708 | + | 0.162506i | \(0.0519575\pi\) | |||||||
\(762\) | 5.10385 | + | 7.89441i | 0.184893 | + | 0.285984i | ||||
\(763\) | 44.5612 | − | 6.95296i | 1.61322 | − | 0.251714i | ||||
\(764\) | − | 32.0257i | − | 1.15865i | ||||||
\(765\) | −2.18400 | − | 3.03193i | −0.0789627 | − | 0.109620i | ||||
\(766\) | −4.88030 | + | 2.81764i | −0.176332 | + | 0.101806i | ||||
\(767\) | 2.73786 | − | 1.58070i | 0.0988582 | − | 0.0570758i | ||||
\(768\) | 1.81976 | + | 36.1320i | 0.0656651 | + | 1.30380i | ||||
\(769\) | − | 10.8279i | − | 0.390463i | −0.980757 | − | 0.195231i | \(-0.937454\pi\) | ||
0.980757 | − | 0.195231i | \(-0.0625458\pi\) | |||||||
\(770\) | 13.9932 | + | 17.3615i | 0.504279 | + | 0.625664i | ||||
\(771\) | −6.10689 | + | 3.94819i | −0.219934 | + | 0.142191i | ||||
\(772\) | −6.05437 | + | 10.4865i | −0.217902 | + | 0.377416i | ||||
\(773\) | 16.2689 | + | 28.1786i | 0.585152 | + | 1.01351i | 0.994856 | + | 0.101295i | \(0.0322986\pi\) |
−0.409704 | + | 0.912218i | \(0.634368\pi\) | |||||||
\(774\) | 3.40040 | + | 33.6723i | 0.122225 | + | 1.21033i | ||||
\(775\) | −1.55192 | − | 0.896001i | −0.0557466 | − | 0.0321853i | ||||
\(776\) | −13.2684 | −0.476309 | ||||||||
\(777\) | −3.41695 | − | 16.4252i | −0.122582 | − | 0.589250i | ||||
\(778\) | 3.00355 | 0.107683 | ||||||||
\(779\) | 63.1137 | + | 36.4387i | 2.26128 | + | 1.30555i | ||||
\(780\) | −1.51233 | + | 2.95322i | −0.0541501 | + | 0.105742i | ||||
\(781\) | −28.6439 | − | 49.6126i | −1.02496 | − | 1.77528i | ||||
\(782\) | −2.34832 | + | 4.06741i | −0.0839758 | + | 0.145450i | ||||
\(783\) | 7.06681 | − | 1.07502i | 0.252547 | − | 0.0384182i | ||||
\(784\) | −31.8547 | + | 10.1887i | −1.13767 | + | 0.363883i | ||||
\(785\) | − | 1.73668i | − | 0.0619849i | ||||||
\(786\) | 2.15809 | − | 0.108691i | 0.0769764 | − | 0.00387687i | ||||
\(787\) | 28.0882 | − | 16.2167i | 1.00124 | − | 0.578063i | 0.0926216 | − | 0.995701i | \(-0.470475\pi\) |
0.908613 | + | 0.417638i | \(0.137142\pi\) | |||||||
\(788\) | 20.3065 | − | 11.7240i | 0.723390 | − | 0.417649i | ||||
\(789\) | 29.8903 | − | 1.50541i | 1.06412 | − | 0.0535939i | ||||
\(790\) | − | 0.0470932i | − | 0.00167550i | ||||||
\(791\) | 36.8118 | + | 14.2278i | 1.30888 | + | 0.505882i | ||||
\(792\) | 4.21374 | − | 9.36134i | 0.149729 | − | 0.332641i | ||||
\(793\) | 5.63921 | − | 9.76740i | 0.200254 | − | 0.346850i | ||||
\(794\) | −8.09845 | − | 14.0269i | −0.287403 | − | 0.497797i | ||||
\(795\) | 4.63279 | − | 9.04673i | 0.164308 | − | 0.320854i | ||||
\(796\) | −0.503156 | − | 0.290497i | −0.0178339 | − | 0.0102964i | ||||
\(797\) | 46.6147 | 1.65118 | 0.825589 | − | 0.564271i | \(-0.190843\pi\) | ||||
0.825589 | + | 0.564271i | \(0.190843\pi\) | |||||||
\(798\) | −62.8219 | − | 20.7135i | −2.22387 | − | 0.733251i | ||||
\(799\) | 9.92932 | 0.351274 | ||||||||
\(800\) | −19.8416 | − | 11.4556i | −0.701506 | − | 0.405015i | ||||
\(801\) | 5.05462 | − | 0.510440i | 0.178596 | − | 0.0180355i | ||||
\(802\) | −23.9873 | − | 41.5471i | −0.847019 | − | 1.46708i | ||||
\(803\) | 14.6575 | − | 25.3875i | 0.517252 | − | 0.895907i | ||||
\(804\) | 8.17330 | − | 5.28415i | 0.288250 | − | 0.186358i | ||||
\(805\) | 1.39915 | + | 8.96706i | 0.0493134 | + | 0.316047i | ||||
\(806\) | − | 1.01020i | − | 0.0355829i | ||||||
\(807\) | −0.329239 | − | 6.53715i | −0.0115898 | − | 0.230118i | ||||
\(808\) | −5.62401 | + | 3.24703i | −0.197852 | + | 0.114230i | ||||
\(809\) | 2.18884 | − | 1.26373i | 0.0769554 | − | 0.0444302i | −0.461029 | − | 0.887385i | \(-0.652519\pi\) |
0.537984 | + | 0.842955i | \(0.319186\pi\) | |||||||
\(810\) | −4.36465 | − | 21.3900i | −0.153358 | − | 0.751569i | ||||
\(811\) | − | 19.3434i | − | 0.679240i | −0.940563 | − | 0.339620i | \(-0.889702\pi\) | ||
0.940563 | − | 0.339620i | \(-0.110298\pi\) | |||||||
\(812\) | −0.825619 | − | 5.29135i | −0.0289735 | − | 0.185690i | ||||
\(813\) | 20.8686 | + | 32.2786i | 0.731893 | + | 1.13206i | ||||
\(814\) | 11.8502 | − | 20.5251i | 0.415349 | − | 0.719405i | ||||
\(815\) | 13.1377 | + | 22.7551i | 0.460193 | + | 0.797077i | ||||
\(816\) | 7.04694 | + | 3.60870i | 0.246692 | + | 0.126330i | ||||
\(817\) | −40.6249 | − | 23.4548i | −1.42128 | − | 0.820579i | ||||
\(818\) | 40.4521 | 1.41437 | ||||||||
\(819\) | 2.00542 | + | 7.67973i | 0.0700750 | + | 0.268352i | ||||
\(820\) | 18.0194 | 0.629265 | ||||||||
\(821\) | −23.2281 | − | 13.4108i | −0.810667 | − | 0.468039i | 0.0365202 | − | 0.999333i | \(-0.488373\pi\) |
−0.847188 | + | 0.531294i | \(0.821706\pi\) | |||||||
\(822\) | −24.5599 | − | 12.5770i | −0.856626 | − | 0.438674i | ||||
\(823\) | −19.2415 | − | 33.3273i | −0.670717 | − | 1.16172i | −0.977701 | − | 0.210002i | \(-0.932653\pi\) |
0.306984 | − | 0.951715i | \(-0.400680\pi\) | |||||||
\(824\) | 3.35921 | − | 5.81833i | 0.117024 | − | 0.202691i | ||||
\(825\) | 10.7991 | + | 16.7036i | 0.375977 | + | 0.581545i | ||||
\(826\) | 14.5361 | + | 5.61823i | 0.505777 | + | 0.195483i | ||||
\(827\) | 19.4439i | 0.676130i | 0.941123 | + | 0.338065i | \(0.109772\pi\) | ||||
−0.941123 | + | 0.338065i | \(0.890228\pi\) | |||||||
\(828\) | −9.43715 | + | 6.79790i | −0.327964 | + | 0.236243i | ||||
\(829\) | 14.7653 | − | 8.52473i | 0.512819 | − | 0.296076i | −0.221173 | − | 0.975235i | \(-0.570988\pi\) |
0.733992 | + | 0.679159i | \(0.237655\pi\) | |||||||
\(830\) | −28.7804 | + | 16.6164i | −0.998983 | + | 0.576763i | ||||
\(831\) | −2.75329 | − | 54.6673i | −0.0955104 | − | 1.89639i | ||||
\(832\) | − | 3.36010i | − | 0.116490i | ||||||
\(833\) | −1.42246 | + | 6.54423i | −0.0492853 | + | 0.226744i | ||||
\(834\) | 52.3960 | − | 33.8748i | 1.81433 | − | 1.17299i | ||||
\(835\) | 1.24151 | − | 2.15037i | 0.0429644 | − | 0.0744165i | ||||
\(836\) | −19.8045 | − | 34.3023i | −0.684951 | − | 1.18637i | ||||
\(837\) | 1.75959 | + | 2.20028i | 0.0608202 | + | 0.0760528i | ||||
\(838\) | 11.3588 | + | 6.55801i | 0.392384 | + | 0.226543i | ||||
\(839\) | −4.60051 | −0.158827 | −0.0794136 | − | 0.996842i | \(-0.525305\pi\) | ||||
−0.0794136 | + | 0.996842i | \(0.525305\pi\) | |||||||
\(840\) | 5.75256 | − | 1.19671i | 0.198482 | − | 0.0412904i | ||||
\(841\) | 27.1076 | 0.934744 | ||||||||
\(842\) | 5.37816 | + | 3.10508i | 0.185344 | + | 0.107008i | ||||
\(843\) | 21.4539 | − | 41.8943i | 0.738911 | − | 1.44292i | ||||
\(844\) | 5.37919 | + | 9.31703i | 0.185159 | + | 0.320705i | ||||
\(845\) | −0.650945 | + | 1.12747i | −0.0223932 | + | 0.0387862i | ||||
\(846\) | 52.8988 | + | 23.8109i | 1.81870 | + | 0.818636i | ||||
\(847\) | 1.78101 | + | 2.20972i | 0.0611964 | + | 0.0759270i | ||||
\(848\) | 21.5354i | 0.739530i | ||||||||
\(849\) | −8.92634 | + | 0.449569i | −0.306351 | + | 0.0154292i | ||||
\(850\) | −5.10212 | + | 2.94571i | −0.175001 | + | 0.101037i | ||||
\(851\) | 8.35374 | − | 4.82303i | 0.286362 | − | 0.165331i | ||||
\(852\) | 41.9664 | − | 2.11361i | 1.43774 | − | 0.0724111i | ||||
\(853\) | 13.0844i | 0.448000i | 0.974589 | + | 0.224000i | \(0.0719115\pi\) | ||||
−0.974589 | + | 0.224000i | \(0.928088\pi\) | |||||||
\(854\) | 54.9321 | − | 8.57116i | 1.87974 | − | 0.293299i | ||||
\(855\) | 27.5926 | + | 12.4200i | 0.943646 | + | 0.424756i | ||||
\(856\) | 1.11747 | − | 1.93551i | 0.0381942 | − | 0.0661543i | ||||
\(857\) | 15.9491 | + | 27.6246i | 0.544809 | + | 0.943638i | 0.998619 | + | 0.0525389i | \(0.0167313\pi\) |
−0.453809 | + | 0.891099i | \(0.649935\pi\) | |||||||
\(858\) | −5.11087 | + | 9.98032i | −0.174482 | + | 0.340722i | ||||
\(859\) | 3.35162 | + | 1.93506i | 0.114356 | + | 0.0660233i | 0.556087 | − | 0.831124i | \(-0.312302\pi\) |
−0.441731 | + | 0.897147i | \(0.645635\pi\) | |||||||
\(860\) | −11.5987 | −0.395512 | ||||||||
\(861\) | 32.1592 | − | 28.7048i | 1.09598 | − | 0.978258i | ||||
\(862\) | −67.5935 | −2.30224 | ||||||||
\(863\) | −14.8225 | − | 8.55777i | −0.504563 | − | 0.291310i | 0.226033 | − | 0.974120i | \(-0.427424\pi\) |
−0.730596 | + | 0.682810i | \(0.760758\pi\) | |||||||
\(864\) | 22.4967 | + | 28.1310i | 0.765352 | + | 0.957036i | ||||
\(865\) | −10.7033 | − | 18.5386i | −0.363921 | − | 0.630330i | ||||
\(866\) | 28.4269 | − | 49.2369i | 0.965987 | − | 1.67314i | ||||
\(867\) | −23.3958 | + | 15.1257i | −0.794563 | + | 0.513696i | ||||
\(868\) | 1.64341 | − | 1.32457i | 0.0557809 | − | 0.0449588i | ||||
\(869\) | − | 0.0674579i | − | 0.00228835i | ||||||
\(870\) | 0.290717 | + | 5.77227i | 0.00985622 | + | 0.195698i | ||||
\(871\) | 3.30728 | − | 1.90946i | 0.112063 | − | 0.0646995i | ||||
\(872\) | 14.5391 | − | 8.39418i | 0.492357 | − | 0.284263i | ||||
\(873\) | −32.7946 | + | 23.6230i | −1.10993 | + | 0.799518i | ||||
\(874\) | − | 38.0330i | − | 1.28649i | ||||||
\(875\) | −10.3130 | + | 26.6830i | −0.348643 | + | 0.902051i | ||||
\(876\) | 11.6741 | + | 18.0570i | 0.394431 | + | 0.610089i | ||||
\(877\) | −16.5924 | + | 28.7389i | −0.560287 | + | 0.970445i | 0.437184 | + | 0.899372i | \(0.355976\pi\) |
−0.997471 | + | 0.0710734i | \(0.977358\pi\) | |||||||
\(878\) | 9.25073 | + | 16.0227i | 0.312197 | + | 0.540741i | ||||
\(879\) | −45.0759 | − | 23.0832i | −1.52037 | − | 0.778576i | ||||
\(880\) | 18.7169 | + | 10.8062i | 0.630946 | + | 0.364277i | ||||
\(881\) | 34.9637 | 1.17796 | 0.588979 | − | 0.808148i | \(-0.299530\pi\) | ||||
0.588979 | + | 0.808148i | \(0.299530\pi\) | |||||||
\(882\) | −23.2715 | + | 31.4535i | −0.783593 | + | 1.05910i | ||||
\(883\) | 36.6775 | 1.23430 | 0.617148 | − | 0.786847i | \(-0.288288\pi\) | ||||
0.617148 | + | 0.786847i | \(0.288288\pi\) | |||||||
\(884\) | −1.21912 | − | 0.703861i | −0.0410035 | − | 0.0236734i | ||||
\(885\) | −6.34518 | − | 3.24934i | −0.213291 | − | 0.109225i | ||||
\(886\) | −29.6016 | − | 51.2714i | −0.994484 | − | 1.72250i | ||||
\(887\) | 7.33879 | − | 12.7112i | 0.246412 | − | 0.426799i | −0.716115 | − | 0.697982i | \(-0.754082\pi\) |
0.962528 | + | 0.271183i | \(0.0874149\pi\) | |||||||
\(888\) | −3.39063 | − | 5.24448i | −0.113782 | − | 0.175993i | ||||
\(889\) | −2.77849 | + | 7.18883i | −0.0931875 | + | 0.241106i | ||||
\(890\) | 4.10769i | 0.137690i | ||||||||
\(891\) | −6.25208 | − | 30.6399i | −0.209453 | − | 1.02647i | ||||
\(892\) | 34.6292 | − | 19.9932i | 1.15947 | − | 0.669421i | ||||
\(893\) | −69.6344 | + | 40.2035i | −2.33023 | + | 1.34536i | ||||
\(894\) | −0.957395 | − | 19.0094i | −0.0320201 | − | 0.635768i | ||||
\(895\) | − | 5.33502i | − | 0.178330i | ||||||
\(896\) | −15.6633 | + | 12.6245i | −0.523275 | + | 0.421754i | ||||
\(897\) | −3.83244 | + | 2.47773i | −0.127961 | + | 0.0827288i | ||||
\(898\) | −37.2792 | + | 64.5695i | −1.24402 | + | 2.15471i | ||||
\(899\) | −0.372937 | − | 0.645946i | −0.0124382 | − | 0.0215435i | ||||
\(900\) | −14.5155 | + | 1.46585i | −0.483850 | + | 0.0488615i | ||||
\(901\) | 3.73459 | + | 2.15617i | 0.124417 | + | 0.0718324i | ||||
\(902\) | 60.8960 | 2.02762 | ||||||||
\(903\) | −20.7001 | + | 18.4767i | −0.688857 | + | 0.614865i | ||||
\(904\) | 14.6909 | 0.488611 | ||||||||
\(905\) | 11.1494 | + | 6.43713i | 0.370620 | + | 0.213978i | ||||
\(906\) | −13.0470 | + | 25.4776i | −0.433456 | + | 0.846437i | ||||
\(907\) | 18.0616 | + | 31.2836i | 0.599725 | + | 1.03875i | 0.992861 | + | 0.119274i | \(0.0380566\pi\) |
−0.393137 | + | 0.919480i | \(0.628610\pi\) | |||||||
\(908\) | 3.56700 | − | 6.17822i | 0.118375 | − | 0.205032i | ||||
\(909\) | −8.11947 | + | 18.0384i | −0.269306 | + | 0.598296i | ||||
\(910\) | −6.34093 | + | 0.989386i | −0.210200 | + | 0.0327978i | ||||
\(911\) | 44.3300i | 1.46872i | 0.678761 | + | 0.734359i | \(0.262517\pi\) | ||||
−0.678761 | + | 0.734359i | \(0.737483\pi\) | |||||||
\(912\) | −64.0317 | + | 3.22492i | −2.12030 | + | 0.106788i | ||||
\(913\) | −41.2261 | + | 23.8019i | −1.36439 | + | 0.787728i | ||||
\(914\) | −17.1596 | + | 9.90712i | −0.567590 | + | 0.327698i | ||||
\(915\) | −25.4000 | + | 1.27925i | −0.839697 | + | 0.0422908i | ||||
\(916\) | − | 15.4352i | − | 0.509993i | ||||||
\(917\) | 1.11171 | + | 1.37931i | 0.0367120 | + | 0.0455489i | ||||
\(918\) | 9.15697 | − | 1.39299i | 0.302225 | − | 0.0459754i | ||||
\(919\) | 6.67681 | − | 11.5646i | 0.220248 | − | 0.381480i | −0.734635 | − | 0.678462i | \(-0.762647\pi\) |
0.954883 | + | 0.296982i | \(0.0959801\pi\) | |||||||
\(920\) | 1.68916 | + | 2.92571i | 0.0556900 | + | 0.0964579i | ||||
\(921\) | −3.55020 | + | 6.93269i | −0.116983 | + | 0.228440i | ||||
\(922\) | 36.1565 | + | 20.8749i | 1.19075 | + | 0.687480i | ||||
\(923\) | 16.4877 | 0.542698 | ||||||||
\(924\) | −22.9374 | + | 4.77169i | −0.754585 | + | 0.156977i | ||||
\(925\) | 12.0999 | 0.397843 | ||||||||
\(926\) | −36.7000 | − | 21.1887i | −1.20604 | − | 0.696305i | ||||
\(927\) | −2.05620 | − | 20.3615i | −0.0675345 | − | 0.668758i | ||||
\(928\) | −4.76807 | − | 8.25855i | −0.156520 | − | 0.271100i | ||||
\(929\) | 11.0098 | − | 19.0695i | 0.361219 | − | 0.625649i | −0.626943 | − | 0.779065i | \(-0.715694\pi\) |
0.988162 | + | 0.153416i | \(0.0490274\pi\) | |||||||
\(930\) | −1.91297 | + | 1.23676i | −0.0627289 | + | 0.0405551i | ||||
\(931\) | −16.5216 | − | 51.6543i | −0.541475 | − | 1.69290i | ||||
\(932\) | − | 22.3365i | − | 0.731657i | ||||||
\(933\) | 0.112573 | + | 2.23518i | 0.00368549 | + | 0.0731765i | ||||
\(934\) | −12.3554 | + | 7.13342i | −0.404283 | + | 0.233413i | ||||
\(935\) | 3.74794 | − | 2.16387i | 0.122571 | − | 0.0707662i | ||||
\(936\) | 1.72691 | + | 2.39738i | 0.0564458 | + | 0.0783607i | ||||
\(937\) | − | 16.1821i | − | 0.528647i | −0.964434 | − | 0.264324i | \(-0.914851\pi\) | ||
0.964434 | − | 0.264324i | \(-0.0851487\pi\) | |||||||
\(938\) | 17.5594 | + | 6.78671i | 0.573334 | + | 0.221594i | ||||
\(939\) | −2.99475 | − | 4.63215i | −0.0977299 | − | 0.151164i | ||||
\(940\) | −9.94056 | + | 17.2176i | −0.324225 | + | 0.561575i | ||||
\(941\) | −25.9980 | − | 45.0299i | −0.847511 | − | 1.46793i | −0.883423 | − | 0.468577i | \(-0.844767\pi\) |
0.0359117 | − | 0.999355i | \(-0.488566\pi\) | |||||||
\(942\) | 3.83167 | + | 1.96218i | 0.124843 | + | 0.0639313i | ||||
\(943\) | 21.4642 | + | 12.3924i | 0.698970 | + | 0.403551i | ||||
\(944\) | 15.1045 | 0.491609 | ||||||||
\(945\) | 12.0876 | − | 13.1996i | 0.393208 | − | 0.429384i | ||||
\(946\) | −39.1974 | −1.27442 | ||||||||
\(947\) | −25.0095 | − | 14.4393i | −0.812701 | − | 0.469213i | 0.0351922 | − | 0.999381i | \(-0.488796\pi\) |
−0.847893 | + | 0.530168i | \(0.822129\pi\) | |||||||
\(948\) | 0.0440405 | + | 0.0225529i | 0.00143037 | + | 0.000732485i | ||||
\(949\) | 4.21850 | + | 7.30665i | 0.136938 | + | 0.237184i | ||||
\(950\) | 23.8541 | − | 41.3166i | 0.773930 | − | 1.34049i | ||||
\(951\) | −8.17816 | − | 12.6496i | −0.265195 | − | 0.410192i | ||||
\(952\) | 0.384327 | + | 2.46313i | 0.0124561 | + | 0.0798305i | ||||
\(953\) | − | 34.9081i | − | 1.13079i | −0.824822 | − | 0.565393i | \(-0.808725\pi\) | ||
0.824822 | − | 0.565393i | \(-0.191275\pi\) | |||||||
\(954\) | 14.7256 | + | 20.4428i | 0.476759 | + | 0.661859i | ||||
\(955\) | −24.5398 | + | 14.1681i | −0.794090 | + | 0.458468i | ||||
\(956\) | −20.1128 | + | 11.6121i | −0.650494 | + | 0.375563i | ||||
\(957\) | 0.416433 | + | 8.26841i | 0.0134614 | + | 0.267280i | ||||
\(958\) | 43.9601i | 1.42029i | ||||||||
\(959\) | −3.48758 | − | 22.3517i | −0.112620 | − | 0.721775i | ||||
\(960\) | −6.36285 | + | 4.11367i | −0.205360 | + | 0.132768i | ||||
\(961\) | −15.3530 | + | 26.5922i | −0.495258 | + | 0.857813i | ||||
\(962\) | 3.41054 | + | 5.90723i | 0.109960 | + | 0.190457i | ||||
\(963\) | −0.684010 | − | 6.77338i | −0.0220419 | − | 0.218269i | ||||
\(964\) | 17.9298 | + | 10.3518i | 0.577480 | + | 0.333408i | ||||
\(965\) | 10.7138 | 0.344888 | ||||||||
\(966\) | −21.3650 | − | 7.04441i | −0.687406 | − | 0.226650i | ||||
\(967\) | −39.5732 | −1.27259 | −0.636294 | − | 0.771447i | \(-0.719533\pi\) | ||||
−0.636294 | + | 0.771447i | \(0.719533\pi\) | |||||||
\(968\) | 0.914931 | + | 0.528235i | 0.0294070 | + | 0.0169781i | ||||
\(969\) | −5.85173 | + | 11.4270i | −0.187985 | + | 0.367089i | ||||
\(970\) | −16.3395 | − | 28.3009i | −0.524631 | − | 0.908687i | ||||
\(971\) | −24.0451 | + | 41.6474i | −0.771644 | + | 1.33653i | 0.165017 | + | 0.986291i | \(0.447232\pi\) |
−0.936661 | + | 0.350236i | \(0.886101\pi\) | |||||||
\(972\) | 22.0937 | + | 6.16196i | 0.708656 | + | 0.197645i | ||||
\(973\) | 47.7130 | + | 18.4411i | 1.52961 | + | 0.591195i | ||||
\(974\) | 52.1466i | 1.67089i | ||||||||
\(975\) | −5.71732 | + | 0.287949i | −0.183101 | + | 0.00922176i | ||||
\(976\) | 46.6665 | − | 26.9429i | 1.49376 | − | 0.862421i | ||||
\(977\) | −29.6311 | + | 17.1075i | −0.947982 | + | 0.547318i | −0.892454 | − | 0.451139i | \(-0.851018\pi\) |
−0.0555288 | + | 0.998457i | \(0.517684\pi\) | |||||||
\(978\) | −65.0485 | + | 3.27613i | −2.08002 | + | 0.104759i | ||||
\(979\) | 5.88400i | 0.188053i | ||||||||
\(980\) | −9.92370 | − | 9.01820i | −0.317001 | − | 0.288076i | ||||
\(981\) | 20.9904 | − | 46.6327i | 0.670171 | − | 1.48887i | ||||
\(982\) | 0.524412 | − | 0.908308i | 0.0167347 | − | 0.0289853i | ||||
\(983\) | −26.9763 | − | 46.7244i | −0.860411 | − | 1.49028i | −0.871533 | − | 0.490337i | \(-0.836874\pi\) |
0.0111219 | − | 0.999938i | \(-0.496460\pi\) | |||||||
\(984\) | 7.31393 | − | 14.2824i | 0.233160 | − | 0.455305i | ||||
\(985\) | −17.9671 | − | 10.3733i | −0.572480 | − | 0.330521i | ||||
\(986\) | −2.45215 | −0.0780923 | ||||||||
\(987\) | 9.68662 | + | 46.5634i | 0.308329 | + | 1.48213i | ||||
\(988\) | 11.3996 | 0.362670 | ||||||||
\(989\) | −13.8160 | − | 7.97668i | −0.439324 | − | 0.253644i | ||||
\(990\) | 25.1563 | − | 2.54041i | 0.799521 | − | 0.0807395i | ||||
\(991\) | −2.19788 | − | 3.80684i | −0.0698179 | − | 0.120928i | 0.829003 | − | 0.559244i | \(-0.188908\pi\) |
−0.898821 | + | 0.438316i | \(0.855575\pi\) | |||||||
\(992\) | 1.87928 | − | 3.25500i | 0.0596671 | − | 0.103346i | ||||
\(993\) | −20.6538 | + | 13.3530i | −0.655428 | + | 0.423743i | ||||
\(994\) | 51.0033 | + | 63.2804i | 1.61773 | + | 2.00713i | ||||
\(995\) | 0.514061i | 0.0162968i | ||||||||
\(996\) | −1.75633 | − | 34.8724i | −0.0556513 | − | 1.10497i | ||||
\(997\) | −2.12003 | + | 1.22400i | −0.0671422 | + | 0.0387645i | −0.533195 | − | 0.845992i | \(-0.679009\pi\) |
0.466053 | + | 0.884757i | \(0.345676\pi\) | |||||||
\(998\) | 2.01550 | − | 1.16365i | 0.0637995 | − | 0.0368347i | ||||
\(999\) | −17.7176 | − | 6.92574i | −0.560561 | − | 0.219121i |
(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 | 273.2.bh.a.131.7 | ✓ | 64 | |
3.2 | odd | 2 | inner | 273.2.bh.a.131.26 | yes | 64 | |
7.3 | odd | 6 | inner | 273.2.bh.a.248.26 | yes | 64 | |
21.17 | even | 6 | inner | 273.2.bh.a.248.7 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bh.a.131.7 | ✓ | 64 | 1.1 | even | 1 | trivial | |
273.2.bh.a.131.26 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bh.a.248.7 | yes | 64 | 21.17 | even | 6 | inner | |
273.2.bh.a.248.26 | yes | 64 | 7.3 | odd | 6 | inner |