Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (of order \(22\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.14 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.a.659.14 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | 0.277794 | − | 1.70963i | 0.160384 | − | 0.987055i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −1.79300 | + | 1.33609i | −0.801856 | + | 0.597517i | ||||
\(6\) | −1.73176 | − | 0.0316608i | −0.706989 | − | 0.0129255i | ||||
\(7\) | −0.483302 | + | 0.310599i | −0.182671 | + | 0.117396i | −0.628780 | − | 0.777583i | \(-0.716446\pi\) |
0.446109 | + | 0.894978i | \(0.352809\pi\) | |||||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | −2.84566 | − | 0.949849i | −0.948554 | − | 0.316616i | ||||
\(10\) | 1.57766 | + | 1.58461i | 0.498900 | + | 0.501097i | ||||
\(11\) | −0.617442 | + | 4.29440i | −0.186166 | + | 1.29481i | 0.655658 | + | 0.755058i | \(0.272391\pi\) |
−0.841824 | + | 0.539753i | \(0.818518\pi\) | |||||||
\(12\) | 0.215117 | + | 1.71864i | 0.0620989 | + | 0.496129i | ||||
\(13\) | 1.02536 | − | 1.59549i | 0.284383 | − | 0.442508i | −0.669445 | − | 0.742861i | \(-0.733468\pi\) |
0.953828 | + | 0.300353i | \(0.0971046\pi\) | |||||||
\(14\) | 0.376219 | + | 0.434180i | 0.100549 | + | 0.116039i | ||||
\(15\) | 1.78613 | + | 3.43653i | 0.461177 | + | 0.887308i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −1.19284 | + | 4.06243i | −0.289305 | + | 0.985283i | 0.678713 | + | 0.734404i | \(0.262538\pi\) |
−0.968018 | + | 0.250880i | \(0.919280\pi\) | |||||||
\(18\) | −0.535201 | + | 2.95187i | −0.126148 | + | 0.695763i | ||||
\(19\) | 0.213298 | + | 0.726425i | 0.0489338 | + | 0.166653i | 0.980335 | − | 0.197341i | \(-0.0632308\pi\) |
−0.931401 | + | 0.363995i | \(0.881413\pi\) | |||||||
\(20\) | 1.34396 | − | 1.78712i | 0.300518 | − | 0.399611i | ||||
\(21\) | 0.396751 | + | 0.912550i | 0.0865782 | + | 0.199135i | ||||
\(22\) | 4.33856 | 0.924985 | ||||||||
\(23\) | 4.22869 | + | 2.26235i | 0.881742 | + | 0.471732i | ||||
\(24\) | 1.67053 | − | 0.457515i | 0.340996 | − | 0.0933899i | ||||
\(25\) | 1.42973 | − | 4.79123i | 0.285946 | − | 0.958246i | ||||
\(26\) | −1.72517 | − | 0.787858i | −0.338334 | − | 0.154512i | ||||
\(27\) | −2.41440 | + | 4.60116i | −0.464651 | + | 0.885494i | ||||
\(28\) | 0.376219 | − | 0.434180i | 0.0710987 | − | 0.0820523i | ||||
\(29\) | −1.29159 | + | 4.39876i | −0.239843 | + | 0.816830i | 0.748309 | + | 0.663350i | \(0.230866\pi\) |
−0.988152 | + | 0.153480i | \(0.950952\pi\) | |||||||
\(30\) | 3.14736 | − | 2.25702i | 0.574626 | − | 0.412074i | ||||
\(31\) | 1.13568 | + | 2.48679i | 0.203974 | + | 0.446640i | 0.983780 | − | 0.179381i | \(-0.0574095\pi\) |
−0.779806 | + | 0.626021i | \(0.784682\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | 7.17031 | + | 2.24856i | 1.24819 | + | 0.391423i | ||||
\(34\) | 4.19084 | + | 0.602551i | 0.718722 | + | 0.103337i | ||||
\(35\) | 0.451574 | − | 1.20264i | 0.0763300 | − | 0.203283i | ||||
\(36\) | 2.99800 | + | 0.109658i | 0.499666 | + | 0.0182763i | ||||
\(37\) | 0.469465 | + | 0.541792i | 0.0771796 | + | 0.0890700i | 0.793026 | − | 0.609188i | \(-0.208504\pi\) |
−0.715846 | + | 0.698258i | \(0.753959\pi\) | |||||||
\(38\) | 0.688676 | − | 0.314508i | 0.111718 | − | 0.0510199i | ||||
\(39\) | −2.44285 | − | 2.19619i | −0.391169 | − | 0.351673i | ||||
\(40\) | −1.96019 | − | 1.07594i | −0.309933 | − | 0.170121i | ||||
\(41\) | −0.688519 | − | 0.596605i | −0.107529 | − | 0.0931741i | 0.599437 | − | 0.800422i | \(-0.295391\pi\) |
−0.706966 | + | 0.707248i | \(0.749937\pi\) | |||||||
\(42\) | 0.846798 | − | 0.522582i | 0.130664 | − | 0.0806362i | ||||
\(43\) | −1.91710 | + | 4.19786i | −0.292355 | + | 0.640168i | −0.997633 | − | 0.0687629i | \(-0.978095\pi\) |
0.705278 | + | 0.708931i | \(0.250822\pi\) | |||||||
\(44\) | −0.617442 | − | 4.29440i | −0.0930829 | − | 0.647405i | ||||
\(45\) | 6.37137 | − | 2.09897i | 0.949787 | − | 0.312897i | ||||
\(46\) | 1.63751 | − | 4.50761i | 0.241438 | − | 0.664611i | ||||
\(47\) | −6.98212 | −1.01845 | −0.509223 | − | 0.860634i | \(-0.670067\pi\) | ||||
−0.509223 | + | 0.860634i | \(0.670067\pi\) | |||||||
\(48\) | −0.690600 | − | 1.58842i | −0.0996795 | − | 0.229268i | ||||
\(49\) | −2.77080 | + | 6.06720i | −0.395828 | + | 0.866742i | ||||
\(50\) | −4.94593 | − | 0.733315i | −0.699460 | − | 0.103706i | ||||
\(51\) | 6.61388 | + | 3.16782i | 0.926128 | + | 0.443584i | ||||
\(52\) | −0.534322 | + | 1.81973i | −0.0740971 | + | 0.252352i | ||||
\(53\) | 1.10788 | + | 1.72390i | 0.152180 | + | 0.236796i | 0.908970 | − | 0.416862i | \(-0.136870\pi\) |
−0.756790 | + | 0.653658i | \(0.773234\pi\) | |||||||
\(54\) | 4.89793 | + | 1.73501i | 0.666524 | + | 0.236105i | ||||
\(55\) | −4.63063 | − | 8.52484i | −0.624394 | − | 1.14949i | ||||
\(56\) | −0.483302 | − | 0.310599i | −0.0645839 | − | 0.0415056i | ||||
\(57\) | 1.30117 | − | 0.162863i | 0.172344 | − | 0.0215718i | ||||
\(58\) | 4.53780 | + | 0.652438i | 0.595843 | + | 0.0856693i | ||||
\(59\) | 2.47824 | − | 3.85621i | 0.322639 | − | 0.502036i | −0.641611 | − | 0.767030i | \(-0.721734\pi\) |
0.964250 | + | 0.264994i | \(0.0853699\pi\) | |||||||
\(60\) | −2.68196 | − | 2.79411i | −0.346240 | − | 0.360719i | ||||
\(61\) | 3.92849 | − | 1.79408i | 0.502991 | − | 0.229708i | −0.147726 | − | 0.989028i | \(-0.547195\pi\) |
0.650718 | + | 0.759320i | \(0.274468\pi\) | |||||||
\(62\) | 2.29985 | − | 1.47803i | 0.292082 | − | 0.187709i | ||||
\(63\) | 1.67034 | − | 0.424797i | 0.210443 | − | 0.0535193i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 0.293243 | + | 4.23068i | 0.0363723 | + | 0.524751i | ||||
\(66\) | 1.20523 | − | 7.41733i | 0.148353 | − | 0.913010i | ||||
\(67\) | −1.50369 | − | 10.4584i | −0.183705 | − | 1.27770i | −0.847908 | − | 0.530144i | \(-0.822138\pi\) |
0.664202 | − | 0.747553i | \(-0.268771\pi\) | |||||||
\(68\) | − | 4.23393i | − | 0.513439i | ||||||
\(69\) | 5.04248 | − | 6.60102i | 0.607043 | − | 0.794669i | ||||
\(70\) | −1.25467 | − | 0.275824i | −0.149961 | − | 0.0329673i | ||||
\(71\) | −11.6770 | + | 1.67890i | −1.38580 | + | 0.199248i | −0.794531 | − | 0.607224i | \(-0.792283\pi\) |
−0.591272 | + | 0.806472i | \(0.701374\pi\) | |||||||
\(72\) | −0.318117 | − | 2.98309i | −0.0374905 | − | 0.351560i | ||||
\(73\) | 1.52050 | + | 5.17834i | 0.177961 | + | 0.606079i | 0.999362 | + | 0.0357274i | \(0.0113748\pi\) |
−0.821401 | + | 0.570351i | \(0.806807\pi\) | |||||||
\(74\) | 0.469465 | − | 0.541792i | 0.0545742 | − | 0.0629820i | ||||
\(75\) | −7.79405 | − | 3.77528i | −0.899980 | − | 0.435932i | ||||
\(76\) | −0.409315 | − | 0.636907i | −0.0469517 | − | 0.0730582i | ||||
\(77\) | −1.03543 | − | 2.26727i | −0.117998 | − | 0.258379i | ||||
\(78\) | −1.82619 | + | 2.73054i | −0.206775 | + | 0.309172i | ||||
\(79\) | −5.12499 | + | 7.97465i | −0.576607 | + | 0.897218i | −0.999962 | − | 0.00874603i | \(-0.997216\pi\) |
0.423355 | + | 0.905964i | \(0.360852\pi\) | |||||||
\(80\) | −0.786027 | + | 2.09336i | −0.0878805 | + | 0.234045i | ||||
\(81\) | 7.19557 | + | 5.40590i | 0.799508 | + | 0.600655i | ||||
\(82\) | −0.492546 | + | 0.766417i | −0.0543926 | + | 0.0846366i | ||||
\(83\) | 8.24830 | − | 7.14720i | 0.905369 | − | 0.784507i | −0.0717007 | − | 0.997426i | \(-0.522843\pi\) |
0.977070 | + | 0.212919i | \(0.0682972\pi\) | |||||||
\(84\) | −0.637775 | − | 0.763807i | −0.0695869 | − | 0.0833382i | ||||
\(85\) | −3.28900 | − | 8.87768i | −0.356743 | − | 0.962920i | ||||
\(86\) | 4.42796 | + | 1.30017i | 0.477480 | + | 0.140201i | ||||
\(87\) | 7.16146 | + | 3.43010i | 0.767789 | + | 0.367745i | ||||
\(88\) | −4.16282 | + | 1.22231i | −0.443758 | + | 0.130299i | ||||
\(89\) | −4.53438 | + | 9.92892i | −0.480644 | + | 1.05246i | 0.501642 | + | 0.865075i | \(0.332729\pi\) |
−0.982286 | + | 0.187388i | \(0.939998\pi\) | |||||||
\(90\) | −2.98435 | − | 6.00780i | −0.314578 | − | 0.633278i | ||||
\(91\) | 1.08958i | 0.114219i | ||||||||
\(92\) | −4.69477 | − | 0.979347i | −0.489464 | − | 0.102104i | ||||
\(93\) | 4.56697 | − | 1.25077i | 0.473573 | − | 0.129699i | ||||
\(94\) | 0.993659 | + | 6.91105i | 0.102488 | + | 0.712821i | ||||
\(95\) | −1.35301 | − | 1.01750i | −0.138816 | − | 0.104393i | ||||
\(96\) | −1.47397 | + | 0.909626i | −0.150436 | + | 0.0928383i | ||||
\(97\) | 5.09324 | − | 5.87791i | 0.517140 | − | 0.596812i | −0.435772 | − | 0.900057i | \(-0.643525\pi\) |
0.952913 | + | 0.303245i | \(0.0980701\pi\) | |||||||
\(98\) | 6.39977 | + | 1.87914i | 0.646474 | + | 0.189822i | ||||
\(99\) | 5.83606 | − | 11.6339i | 0.586546 | − | 1.16925i | ||||
\(100\) | −0.0219711 | + | 4.99995i | −0.00219711 | + | 0.499995i | ||||
\(101\) | −10.8521 | + | 9.40339i | −1.07982 | + | 0.935672i | −0.998139 | − | 0.0609865i | \(-0.980575\pi\) |
−0.0816842 | + | 0.996658i | \(0.526030\pi\) | |||||||
\(102\) | 2.19433 | − | 6.99739i | 0.217271 | − | 0.692845i | ||||
\(103\) | 0.130735 | − | 0.909280i | 0.0128817 | − | 0.0895941i | −0.982366 | − | 0.186966i | \(-0.940135\pi\) |
0.995248 | + | 0.0973720i | \(0.0310437\pi\) | |||||||
\(104\) | 1.87725 | + | 0.269908i | 0.184080 | + | 0.0264667i | ||||
\(105\) | −1.93062 | − | 1.10611i | −0.188410 | − | 0.107945i | ||||
\(106\) | 1.54869 | − | 1.34194i | 0.150422 | − | 0.130341i | ||||
\(107\) | −10.6883 | + | 4.88119i | −1.03328 | + | 0.471882i | −0.858548 | − | 0.512734i | \(-0.828633\pi\) |
−0.174731 | + | 0.984616i | \(0.555906\pi\) | |||||||
\(108\) | 1.02030 | − | 5.09500i | 0.0981783 | − | 0.490266i | ||||
\(109\) | −0.620718 | + | 2.11397i | −0.0594540 | + | 0.202482i | −0.983864 | − | 0.178919i | \(-0.942740\pi\) |
0.924410 | + | 0.381401i | \(0.124558\pi\) | |||||||
\(110\) | −7.77906 | + | 5.79671i | −0.741704 | + | 0.552694i | ||||
\(111\) | 1.05668 | − | 0.652105i | 0.100295 | − | 0.0618950i | ||||
\(112\) | −0.238657 | + | 0.522586i | −0.0225510 | + | 0.0493797i | ||||
\(113\) | 17.1376 | − | 2.46401i | 1.61217 | − | 0.231795i | 0.723493 | − | 0.690332i | \(-0.242536\pi\) |
0.888675 | + | 0.458538i | \(0.151627\pi\) | |||||||
\(114\) | −0.346382 | − | 1.26475i | −0.0324416 | − | 0.118455i | ||||
\(115\) | −10.6048 | + | 1.59351i | −0.988898 | + | 0.148595i | ||||
\(116\) | − | 4.58447i | − | 0.425657i | ||||||
\(117\) | −4.43329 | + | 3.56628i | −0.409857 | + | 0.329702i | ||||
\(118\) | −4.16965 | − | 1.90422i | −0.383848 | − | 0.175297i | ||||
\(119\) | −0.685287 | − | 2.33387i | −0.0628201 | − | 0.213946i | ||||
\(120\) | −2.38399 | + | 3.05231i | −0.217628 | + | 0.278636i | ||||
\(121\) | −7.50623 | − | 2.20403i | −0.682385 | − | 0.200366i | ||||
\(122\) | −2.33490 | − | 3.63318i | −0.211392 | − | 0.328932i | ||||
\(123\) | −1.21124 | + | 1.01138i | −0.109214 | + | 0.0911930i | ||||
\(124\) | −1.79028 | − | 2.06610i | −0.160772 | − | 0.185541i | ||||
\(125\) | 3.83800 | + | 10.5009i | 0.343281 | + | 0.939233i | ||||
\(126\) | −0.658186 | − | 1.59288i | −0.0586359 | − | 0.141905i | ||||
\(127\) | −16.3010 | − | 2.34373i | −1.44648 | − | 0.207973i | −0.626080 | − | 0.779759i | \(-0.715342\pi\) |
−0.820403 | + | 0.571786i | \(0.806251\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | 6.64422 | + | 4.44367i | 0.584991 | + | 0.391243i | ||||
\(130\) | 4.14589 | − | 0.892347i | 0.363618 | − | 0.0782640i | ||||
\(131\) | 2.50347 | + | 3.89548i | 0.218729 | + | 0.340349i | 0.933226 | − | 0.359289i | \(-0.116981\pi\) |
−0.714497 | + | 0.699638i | \(0.753344\pi\) | |||||||
\(132\) | −7.51335 | − | 0.137362i | −0.653954 | − | 0.0119559i | ||||
\(133\) | −0.328714 | − | 0.284833i | −0.0285032 | − | 0.0246981i | ||||
\(134\) | −10.1380 | + | 2.97677i | −0.875786 | + | 0.257154i | ||||
\(135\) | −1.81854 | − | 11.4758i | −0.156515 | − | 0.987676i | ||||
\(136\) | −4.19084 | + | 0.602551i | −0.359361 | + | 0.0516683i | ||||
\(137\) | 8.34533i | 0.712989i | 0.934297 | + | 0.356495i | \(0.116028\pi\) | ||||
−0.934297 | + | 0.356495i | \(0.883972\pi\) | |||||||
\(138\) | −7.25145 | − | 4.05173i | −0.617284 | − | 0.344906i | ||||
\(139\) | −2.74816 | −0.233096 | −0.116548 | − | 0.993185i | \(-0.537183\pi\) | ||||
−0.116548 | + | 0.993185i | \(0.537183\pi\) | |||||||
\(140\) | −0.0944592 | + | 1.28115i | −0.00798326 | + | 0.108277i | ||||
\(141\) | −1.93959 | + | 11.9368i | −0.163343 | + | 1.00526i | ||||
\(142\) | 3.32361 | + | 11.3192i | 0.278912 | + | 0.949886i | ||||
\(143\) | 6.21856 | + | 5.38841i | 0.520022 | + | 0.450602i | ||||
\(144\) | −2.90745 | + | 0.739417i | −0.242287 | + | 0.0616181i | ||||
\(145\) | −3.56131 | − | 9.61269i | −0.295751 | − | 0.798290i | ||||
\(146\) | 4.90924 | − | 2.24198i | 0.406292 | − | 0.185547i | ||||
\(147\) | 9.60294 | + | 6.42246i | 0.792038 | + | 0.529716i | ||||
\(148\) | −0.603089 | − | 0.387582i | −0.0495736 | − | 0.0318590i | ||||
\(149\) | −3.05802 | + | 21.2690i | −0.250523 | + | 1.74242i | 0.344565 | + | 0.938762i | \(0.388026\pi\) |
−0.595088 | + | 0.803661i | \(0.702883\pi\) | |||||||
\(150\) | −2.62765 | + | 8.25200i | −0.214546 | + | 0.673773i | ||||
\(151\) | 6.59432 | + | 4.23791i | 0.536638 | + | 0.344876i | 0.780723 | − | 0.624878i | \(-0.214851\pi\) |
−0.244085 | + | 0.969754i | \(0.578487\pi\) | |||||||
\(152\) | −0.572173 | + | 0.495790i | −0.0464093 | + | 0.0402139i | ||||
\(153\) | 7.25310 | − | 10.4273i | 0.586378 | − | 0.842995i | ||||
\(154\) | −2.09684 | + | 1.34755i | −0.168968 | + | 0.108589i | ||||
\(155\) | −5.35885 | − | 2.94146i | −0.430433 | − | 0.236263i | ||||
\(156\) | 2.96264 | + | 1.41900i | 0.237201 | + | 0.113611i | ||||
\(157\) | −1.67360 | + | 0.491414i | −0.133568 | + | 0.0392191i | −0.347833 | − | 0.937556i | \(-0.613082\pi\) |
0.214265 | + | 0.976776i | \(0.431264\pi\) | |||||||
\(158\) | 8.62284 | + | 3.93792i | 0.685996 | + | 0.313284i | ||||
\(159\) | 3.25499 | − | 1.41518i | 0.258138 | − | 0.112231i | ||||
\(160\) | 2.18392 | + | 0.480110i | 0.172654 | + | 0.0379560i | ||||
\(161\) | −2.74642 | + | 0.220031i | −0.216448 | + | 0.0173408i | ||||
\(162\) | 4.32684 | − | 7.89167i | 0.339948 | − | 0.620028i | ||||
\(163\) | −13.8447 | + | 1.99057i | −1.08440 | + | 0.155913i | −0.661264 | − | 0.750153i | \(-0.729980\pi\) |
−0.423136 | + | 0.906066i | \(0.639071\pi\) | |||||||
\(164\) | 0.828712 | + | 0.378460i | 0.0647116 | + | 0.0295528i | ||||
\(165\) | −15.8607 | + | 5.54851i | −1.23475 | + | 0.431951i | ||||
\(166\) | −8.24830 | − | 7.14720i | −0.640193 | − | 0.554730i | ||||
\(167\) | 4.63776 | + | 1.36177i | 0.358880 | + | 0.105377i | 0.456202 | − | 0.889876i | \(-0.349209\pi\) |
−0.0973218 | + | 0.995253i | \(0.531028\pi\) | |||||||
\(168\) | −0.665268 | + | 0.739984i | −0.0513265 | + | 0.0570910i | ||||
\(169\) | 3.90618 | + | 8.55333i | 0.300475 | + | 0.657949i | ||||
\(170\) | −8.31925 | + | 4.51895i | −0.638057 | + | 0.346588i | ||||
\(171\) | 0.0830213 | − | 2.26976i | 0.00634880 | − | 0.173573i | ||||
\(172\) | 0.656769 | − | 4.56793i | 0.0500781 | − | 0.348301i | ||||
\(173\) | 3.55519 | − | 24.7269i | 0.270296 | − | 1.87995i | −0.175006 | − | 0.984567i | \(-0.555994\pi\) |
0.445301 | − | 0.895381i | \(-0.353097\pi\) | |||||||
\(174\) | 2.37600 | − | 7.57672i | 0.180124 | − | 0.574390i | ||||
\(175\) | 0.797161 | + | 2.75968i | 0.0602597 | + | 0.208612i | ||||
\(176\) | 1.80230 | + | 3.94650i | 0.135854 | + | 0.297478i | ||||
\(177\) | −5.90426 | − | 5.30810i | −0.443791 | − | 0.398981i | ||||
\(178\) | 10.4732 | + | 3.07520i | 0.784997 | + | 0.230496i | ||||
\(179\) | −19.4179 | − | 16.8257i | −1.45136 | − | 1.25761i | −0.908561 | − | 0.417752i | \(-0.862818\pi\) |
−0.542801 | − | 0.839861i | \(-0.682636\pi\) | |||||||
\(180\) | −5.52193 | + | 3.80897i | −0.411580 | + | 0.283904i | ||||
\(181\) | −7.28066 | − | 3.32497i | −0.541167 | − | 0.247143i | 0.126027 | − | 0.992027i | \(-0.459777\pi\) |
−0.667194 | + | 0.744884i | \(0.732505\pi\) | |||||||
\(182\) | 1.07849 | − | 0.155063i | 0.0799427 | − | 0.0114940i | ||||
\(183\) | −1.97590 | − | 7.21464i | −0.146063 | − | 0.533321i | ||||
\(184\) | −0.301243 | + | 4.78636i | −0.0222079 | + | 0.352855i | ||||
\(185\) | −1.56563 | − | 0.344187i | −0.115108 | − | 0.0253052i | ||||
\(186\) | −1.88799 | − | 4.34248i | −0.138434 | − | 0.318406i | ||||
\(187\) | −16.7092 | − | 7.63083i | −1.22190 | − | 0.558022i | ||||
\(188\) | 6.69930 | − | 1.96709i | 0.488596 | − | 0.143465i | ||||
\(189\) | −0.262235 | − | 2.97366i | −0.0190748 | − | 0.216302i | ||||
\(190\) | −0.814589 | + | 1.48405i | −0.0590965 | + | 0.107664i | ||||
\(191\) | 7.47791 | − | 4.80576i | 0.541083 | − | 0.347733i | −0.241380 | − | 0.970431i | \(-0.577600\pi\) |
0.782462 | + | 0.622698i | \(0.213963\pi\) | |||||||
\(192\) | 1.11013 | + | 1.32951i | 0.0801171 | + | 0.0959492i | ||||
\(193\) | 12.2701 | − | 10.6321i | 0.883223 | − | 0.765317i | −0.0898159 | − | 0.995958i | \(-0.528628\pi\) |
0.973039 | + | 0.230641i | \(0.0740824\pi\) | |||||||
\(194\) | −6.54293 | − | 4.20489i | −0.469755 | − | 0.301893i | ||||
\(195\) | 7.31435 | + | 0.673921i | 0.523792 | + | 0.0482605i | ||||
\(196\) | 0.949232 | − | 6.60206i | 0.0678023 | − | 0.471575i | ||||
\(197\) | −12.6059 | − | 8.10129i | −0.898130 | − | 0.577193i | 0.00810523 | − | 0.999967i | \(-0.497420\pi\) |
−0.906235 | + | 0.422774i | \(0.861056\pi\) | |||||||
\(198\) | −12.3461 | − | 4.12098i | −0.877398 | − | 0.292865i | ||||
\(199\) | 13.6835 | − | 6.24904i | 0.969996 | − | 0.442982i | 0.133556 | − | 0.991041i | \(-0.457360\pi\) |
0.836440 | + | 0.548059i | \(0.184633\pi\) | |||||||
\(200\) | 4.95219 | − | 0.689820i | 0.350172 | − | 0.0487776i | ||||
\(201\) | −18.2977 | − | 0.334527i | −1.29062 | − | 0.0235957i | ||||
\(202\) | 10.8521 | + | 9.40339i | 0.763550 | + | 0.661620i | ||||
\(203\) | −0.742023 | − | 2.52710i | −0.0520798 | − | 0.177368i | ||||
\(204\) | −7.23845 | − | 1.17616i | −0.506793 | − | 0.0823477i | ||||
\(205\) | 2.03164 | + | 0.149793i | 0.141896 | + | 0.0104620i | ||||
\(206\) | −0.918631 | −0.0640040 | ||||||||
\(207\) | −9.88452 | − | 10.4545i | −0.687022 | − | 0.726637i | ||||
\(208\) | − | 1.89656i | − | 0.131503i | ||||||
\(209\) | −3.25126 | + | 0.467461i | −0.224894 | + | 0.0323349i | ||||
\(210\) | −0.820095 | + | 2.06839i | −0.0565920 | + | 0.142732i | ||||
\(211\) | 26.9399 | − | 7.91027i | 1.85462 | − | 0.544566i | 0.854955 | − | 0.518703i | \(-0.173585\pi\) |
0.999665 | − | 0.0258630i | \(-0.00823337\pi\) | |||||||
\(212\) | −1.54869 | − | 1.34194i | −0.106364 | − | 0.0921651i | ||||
\(213\) | −0.373505 | + | 20.4297i | −0.0255921 | + | 1.39982i | ||||
\(214\) | 6.35261 | + | 9.88486i | 0.434256 | + | 0.675715i | ||||
\(215\) | −2.17135 | − | 10.0882i | −0.148085 | − | 0.688009i | ||||
\(216\) | −5.18834 | − | 0.284821i | −0.353022 | − | 0.0193796i | ||||
\(217\) | −1.32127 | − | 0.849129i | −0.0896937 | − | 0.0576426i | ||||
\(218\) | 2.18079 | + | 0.313551i | 0.147702 | + | 0.0212363i | ||||
\(219\) | 9.27542 | − | 1.16098i | 0.626775 | − | 0.0784515i | ||||
\(220\) | 6.84478 | + | 6.87492i | 0.461475 | + | 0.463507i | ||||
\(221\) | 5.25846 | + | 6.06859i | 0.353722 | + | 0.408217i | ||||
\(222\) | −0.795848 | − | 0.953117i | −0.0534138 | − | 0.0639690i | ||||
\(223\) | −2.67478 | − | 4.16204i | −0.179117 | − | 0.278711i | 0.740073 | − | 0.672527i | \(-0.234791\pi\) |
−0.919189 | + | 0.393816i | \(0.871155\pi\) | |||||||
\(224\) | 0.551231 | + | 0.161856i | 0.0368307 | + | 0.0108145i | ||||
\(225\) | −8.61947 | + | 12.2762i | −0.574631 | + | 0.818412i | ||||
\(226\) | −4.87786 | − | 16.6125i | −0.324471 | − | 1.10505i | ||||
\(227\) | −2.57634 | − | 1.17657i | −0.170998 | − | 0.0780920i | 0.328077 | − | 0.944651i | \(-0.393599\pi\) |
−0.499075 | + | 0.866559i | \(0.666327\pi\) | |||||||
\(228\) | −1.20258 | + | 0.522848i | −0.0796428 | + | 0.0346265i | ||||
\(229\) | 19.8432i | 1.31127i | 0.755076 | + | 0.655637i | \(0.227600\pi\) | ||||
−0.755076 | + | 0.655637i | \(0.772400\pi\) | |||||||
\(230\) | 3.08650 | + | 10.2700i | 0.203518 | + | 0.677186i | ||||
\(231\) | −4.16383 | + | 1.14036i | −0.273960 | + | 0.0750304i | ||||
\(232\) | −4.53780 | + | 0.652438i | −0.297921 | + | 0.0428346i | ||||
\(233\) | 2.54537 | − | 5.57357i | 0.166752 | − | 0.365137i | −0.807746 | − | 0.589530i | \(-0.799313\pi\) |
0.974499 | + | 0.224394i | \(0.0720401\pi\) | |||||||
\(234\) | 4.16090 | + | 3.88063i | 0.272007 | + | 0.253685i | ||||
\(235\) | 12.5190 | − | 9.32874i | 0.816648 | − | 0.608540i | ||||
\(236\) | −1.29143 | + | 4.39821i | −0.0840650 | + | 0.286299i | ||||
\(237\) | 12.2100 | + | 10.9771i | 0.793124 | + | 0.713042i | ||||
\(238\) | −2.21259 | + | 1.01046i | −0.143421 | + | 0.0654982i | ||||
\(239\) | 15.4131 | − | 13.3555i | 0.996989 | − | 0.863896i | 0.00629177 | − | 0.999980i | \(-0.497997\pi\) |
0.990697 | + | 0.136084i | \(0.0434518\pi\) | |||||||
\(240\) | 3.36052 | + | 1.92534i | 0.216920 | + | 0.124280i | ||||
\(241\) | −10.5689 | − | 1.51958i | −0.680804 | − | 0.0978848i | −0.206768 | − | 0.978390i | \(-0.566294\pi\) |
−0.474036 | + | 0.880505i | \(0.657203\pi\) | |||||||
\(242\) | −1.11335 | + | 7.74350i | −0.0715686 | + | 0.497771i | ||||
\(243\) | 11.2410 | − | 10.8000i | 0.721108 | − | 0.692823i | ||||
\(244\) | −3.26390 | + | 2.82819i | −0.208950 | + | 0.181056i | ||||
\(245\) | −3.13827 | − | 14.5805i | −0.200497 | − | 0.931517i | ||||
\(246\) | 1.17346 | + | 1.05498i | 0.0748172 | + | 0.0672629i | ||||
\(247\) | 1.37771 | + | 0.404531i | 0.0876614 | + | 0.0257397i | ||||
\(248\) | −1.79028 | + | 2.06610i | −0.113683 | + | 0.131197i | ||||
\(249\) | −9.92772 | − | 16.0870i | −0.629144 | − | 1.01947i | ||||
\(250\) | 9.84785 | − | 5.29337i | 0.622833 | − | 0.334782i | ||||
\(251\) | −4.38354 | − | 30.4882i | −0.276686 | − | 1.92440i | −0.370553 | − | 0.928811i | \(-0.620832\pi\) |
0.0938662 | − | 0.995585i | \(-0.470077\pi\) | |||||||
\(252\) | −1.48300 | + | 0.878177i | −0.0934200 | + | 0.0553200i | ||||
\(253\) | −12.3264 | + | 16.7628i | −0.774954 | + | 1.05387i | ||||
\(254\) | 16.4687i | 1.03334i | ||||||||
\(255\) | −16.0912 | + | 3.15681i | −1.00767 | + | 0.197687i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −8.37632 | + | 2.45951i | −0.522500 | + | 0.153420i | −0.532338 | − | 0.846532i | \(-0.678687\pi\) |
0.00983804 | + | 0.999952i | \(0.496868\pi\) | |||||||
\(258\) | 3.45287 | − | 7.20900i | 0.214966 | − | 0.448812i | ||||
\(259\) | −0.395173 | − | 0.116033i | −0.0245549 | − | 0.00720996i | ||||
\(260\) | −1.47328 | − | 3.97669i | −0.0913692 | − | 0.246624i | ||||
\(261\) | 7.85360 | − | 11.2906i | 0.486126 | − | 0.698869i | ||||
\(262\) | 3.49954 | − | 3.03237i | 0.216203 | − | 0.187341i | ||||
\(263\) | −14.4425 | + | 22.4730i | −0.890566 | + | 1.38575i | 0.0318271 | + | 0.999493i | \(0.489867\pi\) |
−0.922393 | + | 0.386254i | \(0.873769\pi\) | |||||||
\(264\) | 0.933298 | + | 7.45643i | 0.0574405 | + | 0.458911i | ||||
\(265\) | −4.28973 | − | 1.61073i | −0.263516 | − | 0.0989464i | ||||
\(266\) | −0.235153 | + | 0.365904i | −0.0144181 | + | 0.0224350i | ||||
\(267\) | 15.7151 | + | 10.5103i | 0.961751 | + | 0.643220i | ||||
\(268\) | 4.38925 | + | 9.61112i | 0.268116 | + | 0.587093i | ||||
\(269\) | −1.65040 | − | 2.56807i | −0.100627 | − | 0.156578i | 0.787289 | − | 0.616584i | \(-0.211484\pi\) |
−0.887916 | + | 0.460006i | \(0.847847\pi\) | |||||||
\(270\) | −11.1001 | + | 3.43320i | −0.675533 | + | 0.208938i | ||||
\(271\) | −10.6069 | + | 12.2410i | −0.644321 | + | 0.743586i | −0.980133 | − | 0.198343i | \(-0.936444\pi\) |
0.335811 | + | 0.941929i | \(0.390990\pi\) | |||||||
\(272\) | 1.19284 | + | 4.06243i | 0.0723263 | + | 0.246321i | ||||
\(273\) | 1.86277 | + | 0.302678i | 0.112740 | + | 0.0183189i | ||||
\(274\) | 8.26038 | − | 1.18766i | 0.499028 | − | 0.0717494i | ||||
\(275\) | 19.6927 | + | 9.09814i | 1.18751 | + | 0.548639i | ||||
\(276\) | −2.97850 | + | 7.75426i | −0.179285 | + | 0.466752i | ||||
\(277\) | 21.8781i | 1.31453i | 0.753661 | + | 0.657263i | \(0.228286\pi\) | ||||
−0.753661 | + | 0.657263i | \(0.771714\pi\) | |||||||
\(278\) | 0.391104 | + | 2.72018i | 0.0234568 | + | 0.163146i | ||||
\(279\) | −0.869682 | − | 8.15528i | −0.0520665 | − | 0.488244i | ||||
\(280\) | 1.28155 | − | 0.0888287i | 0.0765873 | − | 0.00530853i | ||||
\(281\) | 14.4695 | − | 16.6987i | 0.863181 | − | 0.996164i | −0.136804 | − | 0.990598i | \(-0.543683\pi\) |
0.999985 | − | 0.00556568i | \(-0.00177162\pi\) | |||||||
\(282\) | 12.0914 | + | 0.221060i | 0.720030 | + | 0.0131639i | ||||
\(283\) | 9.17567 | − | 5.89685i | 0.545437 | − | 0.350531i | −0.238725 | − | 0.971087i | \(-0.576729\pi\) |
0.784162 | + | 0.620556i | \(0.213093\pi\) | |||||||
\(284\) | 10.7310 | − | 4.90067i | 0.636767 | − | 0.290802i | ||||
\(285\) | −2.11540 | + | 2.03049i | −0.125306 | + | 0.120276i | ||||
\(286\) | 4.44857 | − | 6.92211i | 0.263050 | − | 0.409313i | ||||
\(287\) | 0.518068 | + | 0.0744869i | 0.0305806 | + | 0.00439682i | ||||
\(288\) | 1.14566 | + | 2.77263i | 0.0675089 | + | 0.163379i | ||||
\(289\) | −0.779142 | − | 0.500724i | −0.0458319 | − | 0.0294544i | ||||
\(290\) | −9.00802 | + | 4.89309i | −0.528969 | + | 0.287332i | ||||
\(291\) | −8.63418 | − | 10.3404i | −0.506145 | − | 0.606165i | ||||
\(292\) | −2.91781 | − | 4.54021i | −0.170752 | − | 0.265696i | ||||
\(293\) | −1.07672 | + | 3.66698i | −0.0629028 | + | 0.214227i | −0.984947 | − | 0.172858i | \(-0.944700\pi\) |
0.922044 | + | 0.387085i | \(0.126518\pi\) | |||||||
\(294\) | 4.99045 | − | 10.4192i | 0.291049 | − | 0.607661i | ||||
\(295\) | 0.708754 | + | 10.2254i | 0.0412653 | + | 0.595343i | ||||
\(296\) | −0.297808 | + | 0.652109i | −0.0173097 | + | 0.0379030i | ||||
\(297\) | −18.2685 | − | 13.2093i | −1.06005 | − | 0.766484i | ||||
\(298\) | 21.4877 | 1.24475 | ||||||||
\(299\) | 7.94545 | − | 4.42710i | 0.459497 | − | 0.256026i | ||||
\(300\) | 8.54196 | + | 1.42652i | 0.493170 | + | 0.0823601i | ||||
\(301\) | −0.377315 | − | 2.62428i | −0.0217481 | − | 0.151261i | ||||
\(302\) | 3.25631 | − | 7.13032i | 0.187379 | − | 0.410304i | ||||
\(303\) | 13.0617 | + | 21.1652i | 0.750372 | + | 1.21591i | ||||
\(304\) | 0.572173 | + | 0.495790i | 0.0328163 | + | 0.0284355i | ||||
\(305\) | −4.64674 | + | 8.46560i | −0.266072 | + | 0.484739i | ||||
\(306\) | −11.3534 | − | 5.69532i | −0.649029 | − | 0.325580i | ||||
\(307\) | 18.2286 | − | 8.32473i | 1.04036 | − | 0.475117i | 0.179395 | − | 0.983777i | \(-0.442586\pi\) |
0.860968 | + | 0.508660i | \(0.169859\pi\) | |||||||
\(308\) | 1.63225 | + | 1.88372i | 0.0930060 | + | 0.107335i | ||||
\(309\) | −1.51821 | − | 0.476101i | −0.0863682 | − | 0.0270844i | ||||
\(310\) | −2.14887 | + | 5.72291i | −0.122048 | + | 0.325040i | ||||
\(311\) | 30.1498 | + | 4.33488i | 1.70964 | + | 0.245809i | 0.926568 | − | 0.376126i | \(-0.122744\pi\) |
0.783069 | + | 0.621935i | \(0.213653\pi\) | |||||||
\(312\) | 0.982932 | − | 3.13443i | 0.0556476 | − | 0.177452i | ||||
\(313\) | 7.66085 | + | 8.84109i | 0.433017 | + | 0.499728i | 0.929758 | − | 0.368171i | \(-0.120016\pi\) |
−0.496742 | + | 0.867898i | \(0.665470\pi\) | |||||||
\(314\) | 0.724591 | + | 1.58663i | 0.0408910 | + | 0.0895388i | ||||
\(315\) | −2.42735 | + | 2.99338i | −0.136766 | + | 0.168658i | ||||
\(316\) | 2.67068 | − | 9.09550i | 0.150237 | − | 0.511662i | ||||
\(317\) | 13.4695 | − | 15.5446i | 0.756521 | − | 0.873072i | −0.238662 | − | 0.971103i | \(-0.576709\pi\) |
0.995183 | + | 0.0980304i | \(0.0312543\pi\) | |||||||
\(318\) | −1.86401 | − | 3.02046i | −0.104528 | − | 0.169379i | ||||
\(319\) | −18.0926 | − | 8.26260i | −1.01299 | − | 0.462617i | ||||
\(320\) | 0.164419 | − | 2.23001i | 0.00919132 | − | 0.124662i | ||||
\(321\) | 5.37587 | + | 19.6290i | 0.300052 | + | 1.09558i | ||||
\(322\) | 0.608647 | + | 2.68715i | 0.0339186 | + | 0.149749i | ||||
\(323\) | −3.20548 | −0.178358 | ||||||||
\(324\) | −8.42712 | − | 3.15969i | −0.468173 | − | 0.175538i | ||||
\(325\) | −6.17835 | − | 7.19383i | −0.342713 | − | 0.399042i | ||||
\(326\) | 3.94061 | + | 13.4205i | 0.218250 | + | 0.743292i | ||||
\(327\) | 3.44168 | + | 1.64845i | 0.190325 | + | 0.0911593i | ||||
\(328\) | 0.256670 | − | 0.874138i | 0.0141722 | − | 0.0482662i | ||||
\(329\) | 3.37447 | − | 2.16864i | 0.186041 | − | 0.119561i | ||||
\(330\) | 7.74924 | + | 14.9096i | 0.426582 | + | 0.820746i | ||||
\(331\) | 13.2938 | + | 15.3419i | 0.730693 | + | 0.843265i | 0.992550 | − | 0.121842i | \(-0.0388801\pi\) |
−0.261856 | + | 0.965107i | \(0.584335\pi\) | |||||||
\(332\) | −5.90059 | + | 9.18150i | −0.323837 | + | 0.503900i | ||||
\(333\) | −0.821318 | − | 1.98768i | −0.0450080 | − | 0.108924i | ||||
\(334\) | 0.687886 | − | 4.78435i | 0.0376394 | − | 0.261788i | ||||
\(335\) | 16.6695 | + | 16.7429i | 0.910751 | + | 0.914762i | ||||
\(336\) | 0.827130 | + | 0.553186i | 0.0451236 | + | 0.0301788i | ||||
\(337\) | 7.95109 | + | 17.4105i | 0.433123 | + | 0.948408i | 0.992810 | + | 0.119703i | \(0.0381943\pi\) |
−0.559686 | + | 0.828705i | \(0.689078\pi\) | |||||||
\(338\) | 7.91037 | − | 5.08368i | 0.430267 | − | 0.276516i | ||||
\(339\) | 0.548169 | − | 29.9834i | 0.0297725 | − | 1.62847i | ||||
\(340\) | 5.65691 | + | 7.59146i | 0.306789 | + | 0.411705i | ||||
\(341\) | −11.3805 | + | 3.34161i | −0.616288 | + | 0.180958i | ||||
\(342\) | −2.25847 | + | 0.240844i | −0.122124 | + | 0.0130234i | ||||
\(343\) | −1.11766 | − | 7.77348i | −0.0603478 | − | 0.419728i | ||||
\(344\) | −4.61490 | −0.248819 | ||||||||
\(345\) | −0.221632 | + | 18.5729i | −0.0119323 | + | 0.999929i | ||||
\(346\) | −24.9811 | −1.34299 | ||||||||
\(347\) | −2.90162 | − | 20.1812i | −0.155767 | − | 1.08339i | −0.906325 | − | 0.422581i | \(-0.861124\pi\) |
0.750558 | − | 0.660805i | \(-0.229785\pi\) | |||||||
\(348\) | −7.83774 | − | 1.27354i | −0.420147 | − | 0.0682688i | ||||
\(349\) | −9.06471 | + | 2.66164i | −0.485223 | + | 0.142474i | −0.515189 | − | 0.857077i | \(-0.672278\pi\) |
0.0299660 | + | 0.999551i | \(0.490460\pi\) | |||||||
\(350\) | 2.61815 | − | 1.18179i | 0.139946 | − | 0.0631694i | ||||
\(351\) | 4.86547 | + | 8.56996i | 0.259700 | + | 0.457431i | ||||
\(352\) | 3.64983 | − | 2.34560i | 0.194537 | − | 0.125021i | ||||
\(353\) | 0.141241 | + | 0.309274i | 0.00751748 | + | 0.0164610i | 0.913354 | − | 0.407168i | \(-0.133483\pi\) |
−0.905836 | + | 0.423629i | \(0.860756\pi\) | |||||||
\(354\) | −4.41381 | + | 6.59958i | −0.234591 | + | 0.350764i | ||||
\(355\) | 18.6937 | − | 18.6118i | 0.992160 | − | 0.987810i | ||||
\(356\) | 1.55341 | − | 10.8042i | 0.0823306 | − | 0.572622i | ||||
\(357\) | −4.18042 | + | 0.523251i | −0.221252 | + | 0.0276934i | ||||
\(358\) | −13.8910 | + | 21.6148i | −0.734162 | + | 1.14238i | ||||
\(359\) | 19.9323 | + | 23.0031i | 1.05199 | + | 1.21406i | 0.976187 | + | 0.216933i | \(0.0696052\pi\) |
0.0757989 | + | 0.997123i | \(0.475849\pi\) | |||||||
\(360\) | 4.55606 | + | 4.92365i | 0.240125 | + | 0.259499i | ||||
\(361\) | 15.5016 | − | 9.96229i | 0.815875 | − | 0.524331i | ||||
\(362\) | −2.25498 | + | 7.67974i | −0.118519 | + | 0.403638i | ||||
\(363\) | −5.85326 | + | 12.2206i | −0.307216 | + | 0.641415i | ||||
\(364\) | −0.306969 | − | 1.04544i | −0.0160896 | − | 0.0547960i | ||||
\(365\) | −9.64499 | − | 7.25327i | −0.504842 | − | 0.379653i | ||||
\(366\) | −6.86000 | + | 2.98254i | −0.358578 | + | 0.155900i | ||||
\(367\) | 25.8828 | 1.35107 | 0.675537 | − | 0.737326i | \(-0.263912\pi\) | ||||
0.675537 | + | 0.737326i | \(0.263912\pi\) | |||||||
\(368\) | 4.78051 | − | 0.382993i | 0.249202 | − | 0.0199649i | ||||
\(369\) | 1.39261 | + | 2.35173i | 0.0724962 | + | 0.122426i | ||||
\(370\) | −0.117871 | + | 1.59868i | −0.00612782 | + | 0.0831115i | ||||
\(371\) | −1.07088 | − | 0.489057i | −0.0555976 | − | 0.0253906i | ||||
\(372\) | −4.02959 | + | 2.48677i | −0.208925 | + | 0.128933i | ||||
\(373\) | −1.11913 | + | 1.29155i | −0.0579465 | + | 0.0668738i | −0.783983 | − | 0.620783i | \(-0.786815\pi\) |
0.726036 | + | 0.687656i | \(0.241360\pi\) | |||||||
\(374\) | −5.17519 | + | 17.6251i | −0.267603 | + | 0.911372i | ||||
\(375\) | 19.0189 | − | 3.64445i | 0.982131 | − | 0.188199i | ||||
\(376\) | −2.90048 | − | 6.35116i | −0.149581 | − | 0.327536i | ||||
\(377\) | 5.69382 | + | 6.57102i | 0.293247 | + | 0.338425i | ||||
\(378\) | −2.90607 | + | 0.682762i | −0.149472 | + | 0.0351175i | ||||
\(379\) | −16.0166 | − | 2.30284i | −0.822716 | − | 0.118289i | −0.281915 | − | 0.959439i | \(-0.590970\pi\) |
−0.540801 | + | 0.841151i | \(0.681879\pi\) | |||||||
\(380\) | 1.58487 | + | 0.595095i | 0.0813021 | + | 0.0305277i | ||||
\(381\) | −8.53524 | + | 27.2176i | −0.437274 | + | 1.39440i | ||||
\(382\) | −5.82106 | − | 6.71787i | −0.297832 | − | 0.343716i | ||||
\(383\) | −24.9667 | + | 11.4019i | −1.27574 | + | 0.582611i | −0.934030 | − | 0.357194i | \(-0.883734\pi\) |
−0.341711 | + | 0.939805i | \(0.611006\pi\) | |||||||
\(384\) | 1.15799 | − | 1.28804i | 0.0590934 | − | 0.0657302i | ||||
\(385\) | 4.88580 | + | 2.68180i | 0.249004 | + | 0.136677i | ||||
\(386\) | −12.2701 | − | 10.6321i | −0.624533 | − | 0.541161i | ||||
\(387\) | 9.44275 | − | 10.1247i | 0.480002 | − | 0.514669i | ||||
\(388\) | −3.23093 | + | 7.07475i | −0.164026 | + | 0.359166i | ||||
\(389\) | −4.66718 | − | 32.4610i | −0.236636 | − | 1.64584i | −0.668365 | − | 0.743833i | \(-0.733006\pi\) |
0.431730 | − | 0.902003i | \(-0.357903\pi\) | |||||||
\(390\) | −0.373880 | − | 7.33581i | −0.0189321 | − | 0.371463i | ||||
\(391\) | −14.2347 | + | 14.4801i | −0.719882 | + | 0.732291i | ||||
\(392\) | −6.66995 | −0.336883 | ||||||||
\(393\) | 7.35527 | − | 3.19786i | 0.371024 | − | 0.161311i | ||||
\(394\) | −6.22483 | + | 13.6305i | −0.313602 | + | 0.686694i | ||||
\(395\) | −1.46570 | − | 21.1460i | −0.0737475 | − | 1.06397i | ||||
\(396\) | −2.32200 | + | 12.8069i | −0.116685 | + | 0.643570i | ||||
\(397\) | −4.05961 | + | 13.8257i | −0.203746 | + | 0.693894i | 0.792696 | + | 0.609616i | \(0.208677\pi\) |
−0.996442 | + | 0.0842780i | \(0.973142\pi\) | |||||||
\(398\) | −8.13279 | − | 12.6549i | −0.407660 | − | 0.634331i | ||||
\(399\) | −0.578273 | + | 0.482855i | −0.0289499 | + | 0.0241730i | ||||
\(400\) | −1.38757 | − | 4.80361i | −0.0693784 | − | 0.240180i | ||||
\(401\) | 19.4753 | + | 12.5160i | 0.972550 | + | 0.625020i | 0.927444 | − | 0.373962i | \(-0.122001\pi\) |
0.0451061 | + | 0.998982i | \(0.485637\pi\) | |||||||
\(402\) | 2.27291 | + | 18.1591i | 0.113363 | + | 0.905692i | ||||
\(403\) | 5.13211 | + | 0.737886i | 0.255649 | + | 0.0367567i | ||||
\(404\) | 7.76326 | − | 12.0799i | 0.386237 | − | 0.600996i | ||||
\(405\) | −20.1245 | − | 0.0788663i | −0.999992 | − | 0.00391890i | ||||
\(406\) | −2.39578 | + | 1.09411i | −0.118900 | + | 0.0543000i | ||||
\(407\) | −2.61654 | + | 1.68155i | −0.129697 | + | 0.0833512i | ||||
\(408\) | −0.134050 | + | 7.33216i | −0.00663645 | + | 0.362996i | ||||
\(409\) | 14.8528 | − | 17.1410i | 0.734422 | − | 0.847568i | −0.258540 | − | 0.966001i | \(-0.583241\pi\) |
0.992962 | + | 0.118432i | \(0.0377868\pi\) | |||||||
\(410\) | −0.140864 | − | 2.03227i | −0.00695677 | − | 0.100367i | ||||
\(411\) | 14.2674 | + | 2.31828i | 0.703759 | + | 0.114352i | ||||
\(412\) | 0.130735 | + | 0.909280i | 0.00644084 | + | 0.0447970i | ||||
\(413\) | 2.63346i | 0.129584i | ||||||||
\(414\) | −8.94136 | + | 11.2717i | −0.439444 | + | 0.553976i | ||||
\(415\) | −5.23995 | + | 23.8354i | −0.257219 | + | 1.17004i | ||||
\(416\) | −1.87725 | + | 0.269908i | −0.0920399 | + | 0.0132333i | ||||
\(417\) | −0.763421 | + | 4.69833i | −0.0373849 | + | 0.230078i | ||||
\(418\) | 0.925405 | + | 3.15164i | 0.0452631 | + | 0.154152i | ||||
\(419\) | 24.8634 | − | 28.6938i | 1.21465 | − | 1.40179i | 0.324650 | − | 0.945834i | \(-0.394754\pi\) |
0.890005 | − | 0.455951i | \(-0.150701\pi\) | |||||||
\(420\) | 2.16405 | + | 0.517385i | 0.105595 | + | 0.0252458i | ||||
\(421\) | 5.69135 | + | 8.85592i | 0.277380 | + | 0.431611i | 0.951792 | − | 0.306744i | \(-0.0992394\pi\) |
−0.674413 | + | 0.738355i | \(0.735603\pi\) | |||||||
\(422\) | −11.6637 | − | 25.5400i | −0.567780 | − | 1.24327i | ||||
\(423\) | 19.8687 | + | 6.63196i | 0.966052 | + | 0.322457i | ||||
\(424\) | −1.10788 | + | 1.72390i | −0.0538036 | + | 0.0837200i | ||||
\(425\) | 17.7586 | + | 11.5233i | 0.861418 | + | 0.558963i | ||||
\(426\) | 20.2749 | − | 2.53774i | 0.982322 | − | 0.122954i | ||||
\(427\) | −1.34141 | + | 2.08727i | −0.0649152 | + | 0.101010i | ||||
\(428\) | 8.88017 | − | 7.69471i | 0.429239 | − | 0.371938i | ||||
\(429\) | 10.9397 | − | 9.13456i | 0.528172 | − | 0.441021i | ||||
\(430\) | −9.67650 | + | 3.58495i | −0.466642 | + | 0.172882i | ||||
\(431\) | −31.8931 | − | 9.36465i | −1.53624 | − | 0.451080i | −0.599284 | − | 0.800537i | \(-0.704548\pi\) |
−0.936952 | + | 0.349457i | \(0.886366\pi\) | |||||||
\(432\) | 0.456456 | + | 5.17606i | 0.0219613 | + | 0.249034i | ||||
\(433\) | 36.5857 | − | 10.7425i | 1.75820 | − | 0.516253i | 0.766208 | − | 0.642593i | \(-0.222141\pi\) |
0.991987 | + | 0.126340i | \(0.0403230\pi\) | |||||||
\(434\) | −0.652450 | + | 1.42867i | −0.0313186 | + | 0.0685781i | ||||
\(435\) | −17.4234 | + | 3.41817i | −0.835390 | + | 0.163889i | ||||
\(436\) | − | 2.20322i | − | 0.105515i | ||||||
\(437\) | −0.741457 | + | 3.55438i | −0.0354687 | + | 0.170029i | ||||
\(438\) | −2.46919 | − | 9.01579i | −0.117982 | − | 0.430791i | ||||
\(439\) | −1.54789 | − | 10.7658i | −0.0738770 | − | 0.513826i | −0.992837 | − | 0.119475i | \(-0.961879\pi\) |
0.918960 | − | 0.394350i | \(-0.129030\pi\) | |||||||
\(440\) | 5.83083 | − | 7.75351i | 0.277974 | − | 0.369634i | ||||
\(441\) | 13.6477 | − | 14.6333i | 0.649889 | − | 0.696826i | ||||
\(442\) | 5.25846 | − | 6.06859i | 0.250119 | − | 0.288653i | ||||
\(443\) | −23.6937 | − | 6.95711i | −1.12572 | − | 0.330542i | −0.334698 | − | 0.942325i | \(-0.608634\pi\) |
−0.791026 | + | 0.611783i | \(0.790452\pi\) | |||||||
\(444\) | −0.830155 | + | 0.923390i | −0.0393974 | + | 0.0438221i | ||||
\(445\) | −5.13575 | − | 23.8609i | −0.243458 | − | 1.13112i | ||||
\(446\) | −3.73902 | + | 3.23988i | −0.177048 | + | 0.153413i | ||||
\(447\) | 35.5126 | + | 11.1365i | 1.67969 | + | 0.526737i | ||||
\(448\) | 0.0817602 | − | 0.568655i | 0.00386281 | − | 0.0268664i | ||||
\(449\) | 16.8672 | + | 2.42514i | 0.796013 | + | 0.114449i | 0.528309 | − | 0.849052i | \(-0.322826\pi\) |
0.267704 | + | 0.963501i | \(0.413735\pi\) | |||||||
\(450\) | 13.3779 | + | 6.78465i | 0.630641 | + | 0.319832i | ||||
\(451\) | 2.98718 | − | 2.58841i | 0.140661 | − | 0.121883i | ||||
\(452\) | −15.7492 | + | 7.19241i | −0.740780 | + | 0.338303i | ||||
\(453\) | 9.07712 | − | 10.0966i | 0.426480 | − | 0.474378i | ||||
\(454\) | −0.797948 | + | 2.71756i | −0.0374495 | + | 0.127541i | ||||
\(455\) | −1.45577 | − | 1.95362i | −0.0682476 | − | 0.0915869i | ||||
\(456\) | 0.688671 | + | 1.11593i | 0.0322500 | + | 0.0522582i | ||||
\(457\) | 2.74112 | − | 6.00221i | 0.128224 | − | 0.280771i | −0.834622 | − | 0.550824i | \(-0.814314\pi\) |
0.962846 | + | 0.270052i | \(0.0870410\pi\) | |||||||
\(458\) | 19.6412 | − | 2.82398i | 0.917773 | − | 0.131956i | ||||
\(459\) | −15.8119 | − | 15.2967i | −0.738036 | − | 0.713991i | ||||
\(460\) | 9.72624 | − | 4.51666i | 0.453488 | − | 0.210590i | ||||
\(461\) | 19.2937i | 0.898596i | 0.893382 | + | 0.449298i | \(0.148326\pi\) | ||||
−0.893382 | + | 0.449298i | \(0.851674\pi\) | |||||||
\(462\) | 1.72133 | + | 3.95915i | 0.0800835 | + | 0.184196i | ||||
\(463\) | −34.3737 | − | 15.6979i | −1.59748 | − | 0.729545i | −0.599967 | − | 0.800025i | \(-0.704820\pi\) |
−0.997513 | + | 0.0704797i | \(0.977547\pi\) | |||||||
\(464\) | 1.29159 | + | 4.39876i | 0.0599607 | + | 0.204208i | ||||
\(465\) | −6.51745 | + | 8.34452i | −0.302240 | + | 0.386968i | ||||
\(466\) | −5.87908 | − | 1.72625i | −0.272343 | − | 0.0799672i | ||||
\(467\) | 10.4129 | + | 16.2028i | 0.481852 | + | 0.749776i | 0.994030 | − | 0.109103i | \(-0.0347978\pi\) |
−0.512179 | + | 0.858879i | \(0.671161\pi\) | |||||||
\(468\) | 3.24897 | − | 4.67082i | 0.150184 | − | 0.215909i | ||||
\(469\) | 3.97511 | + | 4.58752i | 0.183553 | + | 0.211832i | ||||
\(470\) | −11.0154 | − | 11.0639i | −0.508103 | − | 0.510341i | ||||
\(471\) | 0.375219 | + | 2.99775i | 0.0172892 | + | 0.138129i | ||||
\(472\) | 4.53723 | + | 0.652356i | 0.208843 | + | 0.0300271i | ||||
\(473\) | −16.8436 | − | 10.8247i | −0.774470 | − | 0.497721i | ||||
\(474\) | 9.12775 | − | 13.6479i | 0.419252 | − | 0.626870i | ||||
\(475\) | 3.78543 | + | 0.0166341i | 0.173687 | + | 0.000763226i | ||||
\(476\) | 1.31506 | + | 2.04627i | 0.0602755 | + | 0.0937905i | ||||
\(477\) | −1.51522 | − | 5.95796i | −0.0693770 | − | 0.272796i | ||||
\(478\) | −15.4131 | − | 13.3555i | −0.704978 | − | 0.610867i | ||||
\(479\) | −7.04036 | + | 2.06724i | −0.321682 | + | 0.0944545i | −0.438587 | − | 0.898689i | \(-0.644521\pi\) |
0.116905 | + | 0.993143i | \(0.462703\pi\) | |||||||
\(480\) | 1.42749 | − | 3.60032i | 0.0651556 | − | 0.164331i | ||||
\(481\) | 1.34579 | − | 0.193495i | 0.0613627 | − | 0.00882263i | ||||
\(482\) | 10.6776i | 0.486351i | ||||||||
\(483\) | −0.386767 | + | 4.75647i | −0.0175985 | + | 0.216427i | ||||
\(484\) | 7.82312 | 0.355597 | ||||||||
\(485\) | −1.27879 | + | 17.3442i | −0.0580667 | + | 0.787557i | ||||
\(486\) | −12.2899 | − | 9.58954i | −0.557479 | − | 0.434990i | ||||
\(487\) | −0.132000 | − | 0.449551i | −0.00598149 | − | 0.0203711i | 0.956448 | − | 0.291902i | \(-0.0942882\pi\) |
−0.962430 | + | 0.271531i | \(0.912470\pi\) | |||||||
\(488\) | 3.26390 | + | 2.82819i | 0.147750 | + | 0.128026i | ||||
\(489\) | −0.442842 | + | 24.2223i | −0.0200260 | + | 1.09537i | ||||
\(490\) | −13.9855 | + | 5.18135i | −0.631801 | + | 0.234070i | ||||
\(491\) | 6.87073 | − | 3.13776i | 0.310072 | − | 0.141605i | −0.254301 | − | 0.967125i | \(-0.581845\pi\) |
0.564373 | + | 0.825520i | \(0.309118\pi\) | |||||||
\(492\) | 0.877238 | − | 1.31166i | 0.0395489 | − | 0.0591341i | ||||
\(493\) | −16.3290 | − | 10.4940i | −0.735421 | − | 0.472626i | ||||
\(494\) | 0.204346 | − | 1.42125i | 0.00919394 | − | 0.0639453i | ||||
\(495\) | 5.07989 | + | 28.6572i | 0.228324 | + | 1.28805i | ||||
\(496\) | 2.29985 | + | 1.47803i | 0.103266 | + | 0.0663653i | ||||
\(497\) | 5.12204 | − | 4.43828i | 0.229755 | − | 0.199084i | ||||
\(498\) | −14.5104 | + | 12.1161i | −0.650226 | + | 0.542935i | ||||
\(499\) | −13.8982 | + | 8.93186i | −0.622171 | + | 0.399845i | −0.813404 | − | 0.581700i | \(-0.802388\pi\) |
0.191233 | + | 0.981545i | \(0.438751\pi\) | |||||||
\(500\) | −6.64099 | − | 8.99429i | −0.296994 | − | 0.402237i | ||||
\(501\) | 3.61646 | − | 7.55055i | 0.161571 | − | 0.337334i | ||||
\(502\) | −29.5540 | + | 8.67784i | −1.31906 | + | 0.387311i | ||||
\(503\) | 23.3427 | + | 10.6603i | 1.04080 | + | 0.475317i | 0.861117 | − | 0.508407i | \(-0.169765\pi\) |
0.179683 | + | 0.983725i | \(0.442493\pi\) | |||||||
\(504\) | 1.08029 | + | 1.34292i | 0.0481200 | + | 0.0598186i | ||||
\(505\) | 6.89407 | − | 31.3597i | 0.306782 | − | 1.39549i | ||||
\(506\) | 18.3464 | + | 9.81533i | 0.815598 | + | 0.436345i | ||||
\(507\) | 15.7081 | − | 4.30205i | 0.697623 | − | 0.191061i | ||||
\(508\) | 16.3010 | − | 2.34373i | 0.723241 | − | 0.103986i | ||||
\(509\) | 29.4046 | + | 13.4286i | 1.30334 | + | 0.595214i | 0.941495 | − | 0.337026i | \(-0.109421\pi\) |
0.361841 | + | 0.932240i | \(0.382148\pi\) | |||||||
\(510\) | 5.41470 | + | 15.4782i | 0.239767 | + | 0.685385i | ||||
\(511\) | −2.34325 | − | 2.03044i | −0.103659 | − | 0.0898212i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | −3.85739 | − | 0.772461i | −0.170308 | − | 0.0341050i | ||||
\(514\) | 3.62655 | + | 7.94103i | 0.159960 | + | 0.350264i | ||||
\(515\) | 0.980472 | + | 1.80502i | 0.0432048 | + | 0.0795386i | ||||
\(516\) | −7.62701 | − | 2.39177i | −0.335761 | − | 0.105292i | ||||
\(517\) | 4.31105 | − | 29.9840i | 0.189600 | − | 1.31870i | ||||
\(518\) | −0.0586133 | + | 0.407664i | −0.00257532 | + | 0.0179117i | ||||
\(519\) | −41.2861 | − | 12.9470i | −1.81226 | − | 0.568311i | ||||
\(520\) | −3.72654 | + | 2.02423i | −0.163420 | + | 0.0887684i | ||||
\(521\) | −10.4930 | − | 22.9765i | −0.459706 | − | 1.00662i | −0.987554 | − | 0.157278i | \(-0.949728\pi\) |
0.527848 | − | 0.849339i | \(-0.322999\pi\) | |||||||
\(522\) | −12.2933 | − | 6.16685i | −0.538065 | − | 0.269916i | ||||
\(523\) | −12.4314 | − | 3.65020i | −0.543588 | − | 0.159612i | −0.00160124 | − | 0.999999i | \(-0.500510\pi\) |
−0.541987 | + | 0.840387i | \(0.682328\pi\) | |||||||
\(524\) | −3.49954 | − | 3.03237i | −0.152878 | − | 0.132470i | ||||
\(525\) | 4.93948 | − | 0.596226i | 0.215577 | − | 0.0260214i | ||||
\(526\) | 24.2997 | + | 11.0973i | 1.05952 | + | 0.483865i | ||||
\(527\) | −11.4571 | + | 1.64728i | −0.499078 | + | 0.0717566i | ||||
\(528\) | 7.24771 | − | 1.98496i | 0.315416 | − | 0.0863842i | ||||
\(529\) | 12.7636 | + | 19.1335i | 0.554938 | + | 0.831892i | ||||
\(530\) | −0.983843 | + | 4.47529i | −0.0427354 | + | 0.194394i | ||||
\(531\) | −10.7150 | + | 8.61953i | −0.464994 | + | 0.374056i | ||||
\(532\) | 0.395646 | + | 0.180685i | 0.0171534 | + | 0.00783370i | ||||
\(533\) | −1.65785 | + | 0.486789i | −0.0718096 | + | 0.0210852i | ||||
\(534\) | 8.16683 | − | 17.0510i | 0.353413 | − | 0.737867i | ||||
\(535\) | 12.6425 | − | 23.0325i | 0.546583 | − | 0.995784i | ||||
\(536\) | 8.88864 | − | 5.71238i | 0.383931 | − | 0.246737i | ||||
\(537\) | −34.1599 | + | 28.5233i | −1.47411 | + | 1.23087i | ||||
\(538\) | −2.30705 | + | 1.99907i | −0.0994642 | + | 0.0861862i | ||||
\(539\) | −24.3442 | − | 15.6451i | −1.04858 | − | 0.673880i | ||||
\(540\) | 4.97797 | + | 10.4986i | 0.214218 | + | 0.451786i | ||||
\(541\) | −6.07479 | + | 42.2511i | −0.261176 | + | 1.81652i | 0.262876 | + | 0.964830i | \(0.415329\pi\) |
−0.524051 | + | 0.851687i | \(0.675580\pi\) | |||||||
\(542\) | 13.6259 | + | 8.75683i | 0.585282 | + | 0.376138i | ||||
\(543\) | −7.70698 | + | 11.5236i | −0.330738 | + | 0.494524i | ||||
\(544\) | 3.85132 | − | 1.75884i | 0.165124 | − | 0.0754096i | ||||
\(545\) | −1.71151 | − | 4.61970i | −0.0733128 | − | 0.197886i | ||||
\(546\) | 0.0344969 | − | 1.88689i | 0.00147633 | − | 0.0807513i | ||||
\(547\) | −25.1502 | − | 21.7928i | −1.07535 | − | 0.931792i | −0.0774734 | − | 0.996994i | \(-0.524685\pi\) |
−0.997872 | + | 0.0652022i | \(0.979231\pi\) | |||||||
\(548\) | −2.35115 | − | 8.00728i | −0.100436 | − | 0.342054i | ||||
\(549\) | −12.8832 | + | 1.37387i | −0.549844 | + | 0.0586355i | ||||
\(550\) | 6.20297 | − | 20.7870i | 0.264496 | − | 0.886363i | ||||
\(551\) | −3.47087 | −0.147864 | ||||||||
\(552\) | 8.09922 | + | 1.84464i | 0.344726 | + | 0.0785129i | ||||
\(553\) | − | 5.44598i | − | 0.231587i | ||||||
\(554\) | 21.6554 | − | 3.11357i | 0.920049 | − | 0.132283i | ||||
\(555\) | −1.02336 | + | 2.58104i | −0.0434391 | + | 0.109559i | ||||
\(556\) | 2.63684 | − | 0.774245i | 0.111827 | − | 0.0328353i | ||||
\(557\) | −17.4925 | − | 15.1573i | −0.741181 | − | 0.642237i | 0.200133 | − | 0.979769i | \(-0.435862\pi\) |
−0.941314 | + | 0.337532i | \(0.890408\pi\) | |||||||
\(558\) | −7.94850 | + | 2.02145i | −0.336487 | + | 0.0855747i | ||||
\(559\) | 4.73192 | + | 7.36301i | 0.200139 | + | 0.311422i | ||||
\(560\) | −0.270308 | − | 1.25587i | −0.0114226 | − | 0.0530700i | ||||
\(561\) | −17.6876 | + | 26.4467i | −0.746771 | + | 1.11658i | ||||
\(562\) | −18.5880 | − | 11.9458i | −0.784088 | − | 0.503903i | ||||
\(563\) | 5.50318 | + | 0.791238i | 0.231932 | + | 0.0333467i | 0.257301 | − | 0.966331i | \(-0.417167\pi\) |
−0.0253690 | + | 0.999678i | \(0.508076\pi\) | |||||||
\(564\) | −1.50197 | − | 11.9998i | −0.0632444 | − | 0.505281i | ||||
\(565\) | −27.4356 | + | 27.3153i | −1.15422 | + | 1.14916i | ||||
\(566\) | −7.14266 | − | 8.24307i | −0.300228 | − | 0.346482i | ||||
\(567\) | −5.15670 | − | 0.377740i | −0.216561 | − | 0.0158636i | ||||
\(568\) | −6.37797 | − | 9.92432i | −0.267614 | − | 0.416415i | ||||
\(569\) | 0.643026 | + | 0.188810i | 0.0269571 | + | 0.00791531i | 0.295183 | − | 0.955441i | \(-0.404619\pi\) |
−0.268226 | + | 0.963356i | \(0.586437\pi\) | |||||||
\(570\) | 2.31088 | + | 1.80490i | 0.0967921 | + | 0.0755991i | ||||
\(571\) | 1.67479 | + | 5.70380i | 0.0700876 | + | 0.238696i | 0.987085 | − | 0.160196i | \(-0.0512127\pi\) |
−0.916998 | + | 0.398893i | \(0.869395\pi\) | |||||||
\(572\) | −7.48475 | − | 3.41817i | −0.312953 | − | 0.142921i | ||||
\(573\) | −6.13875 | − | 14.1195i | −0.256450 | − | 0.589849i | ||||
\(574\) | − | 0.523395i | − | 0.0218461i | ||||||
\(575\) | 16.8853 | − | 17.0261i | 0.704166 | − | 0.710036i | ||||
\(576\) | 2.58136 | − | 1.52859i | 0.107557 | − | 0.0636912i | ||||
\(577\) | −2.33005 | + | 0.335011i | −0.0970015 | + | 0.0139467i | −0.190645 | − | 0.981659i | \(-0.561058\pi\) |
0.0936432 | + | 0.995606i | \(0.470149\pi\) | |||||||
\(578\) | −0.384744 | + | 0.842472i | −0.0160032 | + | 0.0350422i | ||||
\(579\) | −14.7684 | − | 23.9309i | −0.613755 | − | 0.994534i | ||||
\(580\) | 6.12526 | + | 8.21997i | 0.254338 | + | 0.341316i | ||||
\(581\) | −1.76651 | + | 6.01617i | −0.0732871 | + | 0.249593i | ||||
\(582\) | −9.00638 | + | 10.0179i | −0.373326 | + | 0.415255i | ||||
\(583\) | −8.08718 | + | 3.69329i | −0.334937 | + | 0.152960i | ||||
\(584\) | −4.07875 | + | 3.53425i | −0.168780 | + | 0.146248i | ||||
\(585\) | 3.18404 | − | 12.3176i | 0.131644 | − | 0.509271i | ||||
\(586\) | 3.78289 | + | 0.543897i | 0.156270 | + | 0.0224682i | ||||
\(587\) | −0.0775637 | + | 0.539468i | −0.00320140 | + | 0.0222662i | −0.991360 | − | 0.131173i | \(-0.958126\pi\) |
0.988158 | + | 0.153439i | \(0.0490348\pi\) | |||||||
\(588\) | −11.0234 | − | 3.45685i | −0.454596 | − | 0.142558i | ||||
\(589\) | −1.56423 | + | 1.35541i | −0.0644529 | + | 0.0558488i | ||||
\(590\) | 10.0204 | − | 2.15676i | 0.412534 | − | 0.0887924i | ||||
\(591\) | −17.3520 | + | 19.3008i | −0.713767 | + | 0.793930i | ||||
\(592\) | 0.687854 | + | 0.201972i | 0.0282706 | + | 0.00830100i | ||||
\(593\) | −18.9862 | + | 21.9112i | −0.779670 | + | 0.899787i | −0.997086 | − | 0.0762921i | \(-0.975692\pi\) |
0.217416 | + | 0.976079i | \(0.430237\pi\) | |||||||
\(594\) | −10.4750 | + | 19.9624i | −0.429795 | + | 0.819068i | ||||
\(595\) | 4.34699 | + | 3.26904i | 0.178209 | + | 0.134018i | ||||
\(596\) | −3.05802 | − | 21.2690i | −0.125261 | − | 0.871212i | ||||
\(597\) | −6.88235 | − | 25.1296i | −0.281676 | − | 1.02849i | ||||
\(598\) | −5.51279 | − | 7.23454i | −0.225435 | − | 0.295842i | ||||
\(599\) | 41.0074i | 1.67552i | 0.546041 | + | 0.837758i | \(0.316134\pi\) | ||||
−0.546041 | + | 0.837758i | \(0.683866\pi\) | |||||||
\(600\) | 0.196351 | − | 8.65803i | 0.00801601 | − | 0.353463i | ||||
\(601\) | 4.61828 | − | 10.1126i | 0.188383 | − | 0.412502i | −0.791749 | − | 0.610847i | \(-0.790829\pi\) |
0.980132 | + | 0.198344i | \(0.0635564\pi\) | |||||||
\(602\) | −2.54387 | + | 0.746949i | −0.103681 | + | 0.0304434i | ||||
\(603\) | −5.65491 | + | 31.1893i | −0.230286 | + | 1.27013i | ||||
\(604\) | −7.52116 | − | 2.20841i | −0.306032 | − | 0.0898590i | ||||
\(605\) | 16.4035 | − | 6.07716i | 0.666897 | − | 0.247072i | ||||
\(606\) | 19.0909 | − | 15.9408i | 0.775516 | − | 0.647552i | ||||
\(607\) | −8.31904 | + | 7.20849i | −0.337659 | + | 0.292584i | −0.807141 | − | 0.590359i | \(-0.798986\pi\) |
0.469482 | + | 0.882942i | \(0.344441\pi\) | |||||||
\(608\) | 0.409315 | − | 0.636907i | 0.0165999 | − | 0.0258300i | ||||
\(609\) | −4.52653 | + | 0.566572i | −0.183424 | + | 0.0229586i | ||||
\(610\) | 9.04074 | + | 3.39467i | 0.366049 | + | 0.137446i | ||||
\(611\) | −7.15916 | + | 11.1399i | −0.289629 | + | 0.450671i | ||||
\(612\) | −4.02159 | + | 12.0483i | −0.162563 | + | 0.487025i | ||||
\(613\) | 1.45018 | + | 3.17544i | 0.0585721 | + | 0.128255i | 0.936655 | − | 0.350254i | \(-0.113905\pi\) |
−0.878083 | + | 0.478509i | \(0.841177\pi\) | |||||||
\(614\) | −10.8342 | − | 16.8583i | −0.437233 | − | 0.680347i | ||||
\(615\) | 0.820466 | − | 3.43173i | 0.0330844 | − | 0.138381i | ||||
\(616\) | 1.63225 | − | 1.88372i | 0.0657652 | − | 0.0758971i | ||||
\(617\) | 11.5226 | + | 39.2424i | 0.463883 | + | 1.57984i | 0.776601 | + | 0.629993i | \(0.216942\pi\) |
−0.312718 | + | 0.949846i | \(0.601239\pi\) | |||||||
\(618\) | −0.255190 | + | 1.57052i | −0.0102652 | + | 0.0631755i | ||||
\(619\) | −16.3081 | + | 2.34475i | −0.655477 | + | 0.0942433i | −0.462026 | − | 0.886867i | \(-0.652877\pi\) |
−0.193451 | + | 0.981110i | \(0.561968\pi\) | |||||||
\(620\) | 5.97048 | + | 1.31254i | 0.239780 | + | 0.0527130i | ||||
\(621\) | −20.6191 | + | 13.9947i | −0.827418 | + | 0.561587i | ||||
\(622\) | − | 30.4598i | − | 1.22133i | ||||||
\(623\) | −0.892438 | − | 6.20704i | −0.0357548 | − | 0.248680i | ||||
\(624\) | −3.24241 | − | 0.526852i | −0.129800 | − | 0.0210910i | ||||
\(625\) | −20.9117 | − | 13.7003i | −0.836470 | − | 0.548013i | ||||
\(626\) | 7.66085 | − | 8.84109i | 0.306189 | − | 0.353361i | ||||
\(627\) | −0.103996 | + | 5.68831i | −0.00415321 | + | 0.227169i | ||||
\(628\) | 1.46736 | − | 0.943017i | 0.0585541 | − | 0.0376305i | ||||
\(629\) | −2.76098 | + | 1.26090i | −0.110088 | + | 0.0502753i | ||||
\(630\) | 3.30836 | + | 1.97664i | 0.131808 | + | 0.0787514i | ||||
\(631\) | 1.99723 | − | 3.10775i | 0.0795086 | − | 0.123718i | −0.799222 | − | 0.601036i | \(-0.794755\pi\) |
0.878730 | + | 0.477318i | \(0.158391\pi\) | |||||||
\(632\) | −9.38299 | − | 1.34907i | −0.373235 | − | 0.0536632i | ||||
\(633\) | −6.03989 | − | 48.2547i | −0.240064 | − | 1.91795i | ||||
\(634\) | −17.3033 | − | 11.1202i | −0.687202 | − | 0.441638i | ||||
\(635\) | 32.3593 | − | 17.5773i | 1.28414 | − | 0.697534i | ||||
\(636\) | −2.72444 | + | 2.27489i | −0.108031 | + | 0.0902054i | ||||
\(637\) | 6.83907 | + | 10.6418i | 0.270974 | + | 0.421644i | ||||
\(638\) | −5.60366 | + | 19.0843i | −0.221851 | + | 0.755555i | ||||
\(639\) | 34.8234 | + | 6.31380i | 1.37759 | + | 0.249770i | ||||
\(640\) | −2.23072 | + | 0.154619i | −0.0881768 | + | 0.00611183i | ||||
\(641\) | −10.9234 | + | 23.9190i | −0.431450 | + | 0.944743i | 0.561639 | + | 0.827382i | \(0.310171\pi\) |
−0.993089 | + | 0.117361i | \(0.962556\pi\) | |||||||
\(642\) | 18.6642 | − | 8.11466i | 0.736615 | − | 0.320260i | ||||
\(643\) | 5.68433 | 0.224168 | 0.112084 | − | 0.993699i | \(-0.464247\pi\) | ||||
0.112084 | + | 0.993699i | \(0.464247\pi\) | |||||||
\(644\) | 2.57318 | − | 0.984873i | 0.101397 | − | 0.0388094i | ||||
\(645\) | −17.8503 | + | 0.909763i | −0.702853 | + | 0.0358219i | ||||
\(646\) | 0.456187 | + | 3.17285i | 0.0179484 | + | 0.124834i | ||||
\(647\) | 13.7095 | − | 30.0195i | 0.538974 | − | 1.18019i | −0.422769 | − | 0.906237i | \(-0.638942\pi\) |
0.961744 | − | 0.273951i | \(-0.0883307\pi\) | |||||||
\(648\) | −1.92823 | + | 8.79101i | −0.0757479 | + | 0.345344i | ||||
\(649\) | 15.0300 | + | 13.0235i | 0.589978 | + | 0.511219i | ||||
\(650\) | −6.24134 | + | 7.13925i | −0.244805 | + | 0.280025i | ||||
\(651\) | −1.81874 | + | 2.02300i | −0.0712819 | + | 0.0792876i | ||||
\(652\) | 12.7231 | − | 5.81044i | 0.498274 | − | 0.227554i | ||||
\(653\) | −18.3593 | − | 21.1877i | −0.718453 | − | 0.829139i | 0.272667 | − | 0.962108i | \(-0.412094\pi\) |
−0.991120 | + | 0.132969i | \(0.957549\pi\) | |||||||
\(654\) | 1.14187 | − | 3.64124i | 0.0446505 | − | 0.142384i | ||||
\(655\) | −9.69344 | − | 3.63974i | −0.378754 | − | 0.142217i | ||||
\(656\) | −0.901768 | − | 0.129655i | −0.0352081 | − | 0.00506217i | ||||
\(657\) | 0.591819 | − | 16.1800i | 0.0230891 | − | 0.631244i | ||||
\(658\) | −2.62681 | − | 3.03150i | −0.102404 | − | 0.118180i | ||||
\(659\) | −12.2381 | − | 26.7977i | −0.476729 | − | 1.04389i | −0.983350 | − | 0.181722i | \(-0.941833\pi\) |
0.506621 | − | 0.862169i | \(-0.330894\pi\) | |||||||
\(660\) | 13.6550 | − | 9.79222i | 0.531520 | − | 0.381162i | ||||
\(661\) | 3.70112 | − | 12.6048i | 0.143957 | − | 0.490272i | −0.855672 | − | 0.517518i | \(-0.826856\pi\) |
0.999629 | + | 0.0272470i | \(0.00867405\pi\) | |||||||
\(662\) | 13.2938 | − | 15.3419i | 0.516678 | − | 0.596278i | ||||
\(663\) | 11.8358 | − | 7.30420i | 0.459664 | − | 0.283672i | ||||
\(664\) | 9.92779 | + | 4.53387i | 0.385273 | + | 0.175948i | ||||
\(665\) | 0.969948 | + | 0.0715144i | 0.0376130 | + | 0.00277321i | ||||
\(666\) | −1.85056 | + | 1.09583i | −0.0717077 | + | 0.0424627i | ||||
\(667\) | −15.4133 | + | 15.6790i | −0.596804 | + | 0.607092i | ||||
\(668\) | −4.83355 | −0.187016 | ||||||||
\(669\) | −7.85859 | + | 3.41670i | −0.303831 | + | 0.132097i | ||||
\(670\) | 14.2002 | − | 18.8826i | 0.548600 | − | 0.729497i | ||||
\(671\) | 5.27889 | + | 17.9782i | 0.203789 | + | 0.694042i | ||||
\(672\) | 0.429842 | − | 0.897437i | 0.0165815 | − | 0.0346194i | ||||
\(673\) | −1.70195 | + | 5.79630i | −0.0656052 | + | 0.223431i | −0.985770 | − | 0.168101i | \(-0.946237\pi\) |
0.920165 | + | 0.391532i | \(0.128055\pi\) | |||||||
\(674\) | 16.1017 | − | 10.3479i | 0.620214 | − | 0.398587i | ||||
\(675\) | 18.5933 | + | 18.1463i | 0.715656 | + | 0.698453i | ||||
\(676\) | −6.15770 | − | 7.10637i | −0.236835 | − | 0.273322i | ||||
\(677\) | 20.1519 | − | 31.3569i | 0.774500 | − | 1.20515i | −0.199788 | − | 0.979839i | \(-0.564025\pi\) |
0.974288 | − | 0.225306i | \(-0.0723382\pi\) | |||||||
\(678\) | −29.7562 | + | 3.72449i | −1.14278 | + | 0.143038i | ||||
\(679\) | −0.635898 | + | 4.42277i | −0.0244035 | + | 0.169730i | ||||
\(680\) | 6.70912 | − | 6.67971i | 0.257283 | − | 0.256155i | ||||
\(681\) | −2.72720 | + | 4.07774i | −0.104506 | + | 0.156259i | ||||
\(682\) | 4.92721 | + | 10.7891i | 0.188673 | + | 0.413135i | ||||
\(683\) | −26.2398 | + | 16.8633i | −1.00404 | + | 0.645255i | −0.935843 | − | 0.352417i | \(-0.885360\pi\) |
−0.0681933 | + | 0.997672i | \(0.521723\pi\) | |||||||
\(684\) | 0.559807 | + | 2.20121i | 0.0214048 | + | 0.0841653i | ||||
\(685\) | −11.1501 | − | 14.9632i | −0.426023 | − | 0.571715i | ||||
\(686\) | −7.53530 | + | 2.21256i | −0.287699 | + | 0.0844760i | ||||
\(687\) | 33.9245 | + | 5.51231i | 1.29430 | + | 0.210308i | ||||
\(688\) | 0.656769 | + | 4.56793i | 0.0250391 | + | 0.174151i | ||||
\(689\) | 3.88643 | 0.148061 | ||||||||
\(690\) | 18.4153 | − | 2.42382i | 0.701060 | − | 0.0922731i | ||||
\(691\) | 23.5950 | 0.897594 | 0.448797 | − | 0.893634i | \(-0.351853\pi\) | ||||
0.448797 | + | 0.893634i | \(0.351853\pi\) | |||||||
\(692\) | 3.55519 | + | 24.7269i | 0.135148 | + | 0.939974i | ||||
\(693\) | 0.792912 | + | 7.43538i | 0.0301202 | + | 0.282447i | ||||
\(694\) | −19.5629 | + | 5.74418i | −0.742596 | + | 0.218046i | ||||
\(695\) | 4.92746 | − | 3.67178i | 0.186909 | − | 0.139279i | ||||
\(696\) | −0.145148 | + | 7.93920i | −0.00550182 | + | 0.300935i | ||||
\(697\) | 3.24496 | − | 2.08541i | 0.122911 | − | 0.0789904i | ||||
\(698\) | 3.92459 | + | 8.59366i | 0.148548 | + | 0.325275i | ||||
\(699\) | −8.82165 | − | 5.89993i | −0.333666 | − | 0.223156i | ||||
\(700\) | −1.54236 | − | 2.42331i | −0.0582958 | − | 0.0915925i | ||||
\(701\) | −2.27831 | + | 15.8460i | −0.0860507 | + | 0.598496i | 0.900477 | + | 0.434903i | \(0.143217\pi\) |
−0.986528 | + | 0.163593i | \(0.947692\pi\) | |||||||
\(702\) | 7.79031 | − | 6.03558i | 0.294026 | − | 0.227798i | ||||
\(703\) | −0.293435 | + | 0.456594i | −0.0110671 | + | 0.0172208i | ||||
\(704\) | −2.84115 | − | 3.27887i | −0.107080 | − | 0.123577i | ||||
\(705\) | −12.4710 | − | 23.9943i | −0.469684 | − | 0.903676i | ||||
\(706\) | 0.286025 | − | 0.183817i | 0.0107647 | − | 0.00691806i | ||||
\(707\) | 2.32415 | − | 7.91532i | 0.0874086 | − | 0.297686i | ||||
\(708\) | 7.16056 | + | 3.42966i | 0.269110 | + | 0.128895i | ||||
\(709\) | 3.93294 | + | 13.3944i | 0.147705 | + | 0.503036i | 0.999793 | − | 0.0203625i | \(-0.00648203\pi\) |
−0.852088 | + | 0.523399i | \(0.824664\pi\) | |||||||
\(710\) | −21.0827 | − | 15.8547i | −0.791220 | − | 0.595017i | ||||
\(711\) | 22.1587 | − | 17.8252i | 0.831016 | − | 0.668496i | ||||
\(712\) | −10.9153 | −0.409069 | ||||||||
\(713\) | −0.823550 | + | 13.0851i | −0.0308422 | + | 0.490043i | ||||
\(714\) | 1.11286 | + | 4.06341i | 0.0416478 | + | 0.152069i | ||||
\(715\) | −18.3493 | − | 1.35290i | −0.686225 | − | 0.0505954i | ||||
\(716\) | 23.3717 | + | 10.6735i | 0.873441 | + | 0.398887i | ||||
\(717\) | −18.5513 | − | 30.0607i | −0.692811 | − | 1.12264i | ||||
\(718\) | 19.9323 | − | 23.0031i | 0.743866 | − | 0.858467i | ||||
\(719\) | −11.4827 | + | 39.1066i | −0.428234 | + | 1.45843i | 0.409479 | + | 0.912320i | \(0.365711\pi\) |
−0.837713 | + | 0.546111i | \(0.816108\pi\) | |||||||
\(720\) | 4.22514 | − | 5.21039i | 0.157462 | − | 0.194180i | ||||
\(721\) | 0.219237 | + | 0.480063i | 0.00816483 | + | 0.0178785i | ||||
\(722\) | −12.0670 | − | 13.9261i | −0.449087 | − | 0.518274i | ||||
\(723\) | −5.53390 | + | 17.6468i | −0.205808 | + | 0.656291i | ||||
\(724\) | 7.92249 | + | 1.13908i | 0.294437 | + | 0.0423337i | ||||
\(725\) | 19.2289 | + | 12.4774i | 0.714142 | + | 0.463398i | ||||
\(726\) | 12.9292 | + | 4.05451i | 0.479848 | + | 0.150477i | ||||
\(727\) | −9.06946 | − | 10.4667i | −0.336368 | − | 0.388189i | 0.562217 | − | 0.826990i | \(-0.309949\pi\) |
−0.898584 | + | 0.438801i | \(0.855403\pi\) | |||||||
\(728\) | −0.991113 | + | 0.452626i | −0.0367331 | + | 0.0167754i | ||||
\(729\) | −15.3414 | − | 22.2181i | −0.568199 | − | 0.822891i | ||||
\(730\) | −5.80681 | + | 10.5791i | −0.214920 | + | 0.391549i | ||||
\(731\) | −14.7667 | − | 12.7954i | −0.546167 | − | 0.473256i | ||||
\(732\) | 3.92846 | + | 6.36572i | 0.145200 | + | 0.235284i | ||||
\(733\) | 0.916145 | − | 2.00608i | 0.0338386 | − | 0.0740962i | −0.891958 | − | 0.452118i | \(-0.850668\pi\) |
0.925797 | + | 0.378022i | \(0.123396\pi\) | |||||||
\(734\) | −3.68351 | − | 25.6194i | −0.135961 | − | 0.945629i | ||||
\(735\) | −25.7991 | + | 1.31489i | −0.951614 | + | 0.0485003i | ||||
\(736\) | −1.05943 | − | 4.67735i | −0.0390512 | − | 0.172409i | ||||
\(737\) | 45.8410 | 1.68858 | ||||||||
\(738\) | 2.12960 | − | 1.71312i | 0.0783917 | − | 0.0630607i | ||||
\(739\) | −8.91485 | + | 19.5208i | −0.327938 | + | 0.718084i | −0.999744 | − | 0.0226436i | \(-0.992792\pi\) |
0.671806 | + | 0.740727i | \(0.265519\pi\) | |||||||
\(740\) | 1.59918 | − | 0.110845i | 0.0587872 | − | 0.00407474i | ||||
\(741\) | 1.07432 | − | 2.24299i | 0.0394660 | − | 0.0823983i | ||||
\(742\) | −0.331676 | + | 1.12958i | −0.0121762 | + | 0.0414684i | ||||
\(743\) | −17.5658 | − | 27.3330i | −0.644428 | − | 1.00275i | −0.997737 | − | 0.0672427i | \(-0.978580\pi\) |
0.353309 | − | 0.935507i | \(-0.385057\pi\) | |||||||
\(744\) | 3.03493 | + | 3.63467i | 0.111266 | + | 0.133254i | ||||
\(745\) | −22.9342 | − | 42.2212i | −0.840245 | − | 1.54686i | ||||
\(746\) | 1.43767 | + | 0.923935i | 0.0526369 | + | 0.0338277i | ||||
\(747\) | −30.2606 | + | 12.5039i | −1.10718 | + | 0.457492i | ||||
\(748\) | 18.1822 | + | 2.61421i | 0.664807 | + | 0.0955848i | ||||
\(749\) | 3.64959 | − | 5.67887i | 0.133353 | − | 0.207501i | ||||
\(750\) | −6.31403 | − | 18.3066i | −0.230556 | − | 0.668464i | ||||
\(751\) | −29.0480 | + | 13.2658i | −1.05998 | + | 0.484074i | −0.867608 | − | 0.497249i | \(-0.834344\pi\) |
−0.192367 | + | 0.981323i | \(0.561616\pi\) | |||||||
\(752\) | −5.87373 | + | 3.77482i | −0.214193 | + | 0.137653i | ||||
\(753\) | −53.3412 | − | 0.975207i | −1.94386 | − | 0.0355385i | ||||
\(754\) | 5.69382 | − | 6.57102i | 0.207357 | − | 0.239302i | ||||
\(755\) | −17.4859 | + | 1.21201i | −0.636376 | + | 0.0441094i | ||||
\(756\) | 1.08939 | + | 2.77933i | 0.0396207 | + | 0.101083i | ||||
\(757\) | 5.12196 | + | 35.6240i | 0.186161 | + | 1.29478i | 0.841835 | + | 0.539734i | \(0.181475\pi\) |
−0.655674 | + | 0.755044i | \(0.727616\pi\) | |||||||
\(758\) | 16.1813i | 0.587730i | ||||||||
\(759\) | 25.2340 | + | 25.7302i | 0.915936 | + | 0.933946i | ||||
\(760\) | 0.363488 | − | 1.65343i | 0.0131851 | − | 0.0599761i | ||||
\(761\) | 19.8969 | − | 2.86075i | 0.721263 | − | 0.103702i | 0.228099 | − | 0.973638i | \(-0.426749\pi\) |
0.493165 | + | 0.869936i | \(0.335840\pi\) | |||||||
\(762\) | 28.1553 | + | 4.57489i | 1.01996 | + | 0.165731i | ||||
\(763\) | −0.356604 | − | 1.21448i | −0.0129099 | − | 0.0439672i | ||||
\(764\) | −5.82106 | + | 6.71787i | −0.210599 | + | 0.243044i | ||||
\(765\) | 0.926933 | + | 28.3869i | 0.0335133 | + | 1.02633i | ||||
\(766\) | 14.8390 | + | 23.0900i | 0.536155 | + | 0.834274i | ||||
\(767\) | −3.61146 | − | 7.90799i | −0.130402 | − | 0.285541i | ||||
\(768\) | −1.43973 | − | 0.962896i | −0.0519519 | − | 0.0347455i | ||||
\(769\) | −26.3684 | + | 41.0300i | −0.950869 | + | 1.47958i | −0.0749124 | + | 0.997190i | \(0.523868\pi\) |
−0.875956 | + | 0.482390i | \(0.839769\pi\) | |||||||
\(770\) | 1.95918 | − | 5.21773i | 0.0706040 | − | 0.188034i | ||||
\(771\) | 1.87796 | + | 15.0036i | 0.0676330 | + | 0.540343i | ||||
\(772\) | −8.77768 | + | 13.6583i | −0.315916 | + | 0.491574i | ||||
\(773\) | −32.9457 | + | 28.5476i | −1.18498 | + | 1.02679i | −0.185954 | + | 0.982558i | \(0.559538\pi\) |
−0.999021 | + | 0.0442290i | \(0.985917\pi\) | |||||||
\(774\) | −11.3655 | − | 7.90573i | −0.408525 | − | 0.284166i | ||||
\(775\) | 13.5385 | − | 1.88586i | 0.486317 | − | 0.0677420i | ||||
\(776\) | 7.46255 | + | 2.19120i | 0.267890 | + | 0.0786596i | ||||
\(777\) | −0.308151 | + | 0.643367i | −0.0110548 | + | 0.0230806i | ||||
\(778\) | −31.4664 | + | 9.23935i | −1.12812 | + | 0.331247i | ||||
\(779\) | 0.286530 | − | 0.627412i | 0.0102660 | − | 0.0224794i | ||||
\(780\) | −7.20794 | + | 1.41407i | −0.258086 | + | 0.0506318i | ||||
\(781\) | − | 51.1823i | − | 1.83145i | ||||||
\(782\) | 16.3585 | + | 12.0291i | 0.584980 | + | 0.430160i | ||||
\(783\) | −17.1210 | − | 16.5632i | −0.611855 | − | 0.591920i | ||||
\(784\) | 0.949232 | + | 6.60206i | 0.0339012 | + | 0.235788i | ||||
\(785\) | 2.34420 | − | 3.11719i | 0.0836682 | − | 0.111257i | ||||
\(786\) | −4.21208 | − | 6.82530i | −0.150240 | − | 0.243450i | ||||
\(787\) | 1.46018 | − | 1.68513i | 0.0520497 | − | 0.0600686i | −0.729128 | − | 0.684378i | \(-0.760074\pi\) |
0.781177 | + | 0.624309i | \(0.214619\pi\) | |||||||
\(788\) | 14.3776 | + | 4.22165i | 0.512182 | + | 0.150390i | ||||
\(789\) | 34.4085 | + | 30.9343i | 1.22498 | + | 1.10129i | ||||
\(790\) | −20.7222 | + | 4.46018i | −0.737263 | + | 0.158686i | ||||
\(791\) | −7.51730 | + | 6.51378i | −0.267285 | + | 0.231603i | ||||
\(792\) | 13.0070 | + | 0.475758i | 0.462183 | + | 0.0169053i | ||||
\(793\) | 1.16567 | − | 8.10741i | 0.0413942 | − | 0.287903i | ||||
\(794\) | 14.2628 | + | 2.05068i | 0.506167 | + | 0.0727758i | ||||
\(795\) | −3.94541 | + | 6.88639i | −0.139929 | + | 0.244235i | ||||
\(796\) | −11.3686 | + | 9.85099i | −0.402951 | + | 0.349159i | ||||
\(797\) | 17.7550 | − | 8.10843i | 0.628914 | − | 0.287215i | −0.0753460 | − | 0.997157i | \(-0.524006\pi\) |
0.704260 | + | 0.709942i | \(0.251279\pi\) | |||||||
\(798\) | 0.560237 | + | 0.503670i | 0.0198322 | + | 0.0178297i | ||||
\(799\) | 8.32853 | − | 28.3644i | 0.294642 | − | 1.00346i | ||||
\(800\) | −4.55724 | + | 2.05707i | −0.161123 | + | 0.0727284i | ||||
\(801\) | 22.3343 | − | 23.9474i | 0.789143 | − | 0.846138i | ||||
\(802\) | 9.61700 | − | 21.0583i | 0.339588 | − | 0.743594i | ||||
\(803\) | −23.1767 | + | 3.33231i | −0.817888 | + | 0.117595i | ||||
\(804\) | 17.6508 | − | 4.83408i | 0.622494 | − | 0.170485i | ||||
\(805\) | 4.63036 | − | 4.06397i | 0.163199 | − | 0.143236i | ||||
\(806\) | − | 5.18488i | − | 0.182630i | ||||||
\(807\) | −4.84892 | + | 2.10817i | −0.170690 | + | 0.0742112i | ||||
\(808\) | −13.0617 | − | 5.96510i | −0.459510 | − | 0.209851i | ||||
\(809\) | −4.71888 | − | 16.0710i | −0.165907 | − | 0.565027i | −0.999912 | − | 0.0132704i | \(-0.995776\pi\) |
0.834005 | − | 0.551757i | \(-0.186042\pi\) | |||||||
\(810\) | 2.78595 | + | 19.9308i | 0.0978881 | + | 0.700298i | ||||
\(811\) | 4.67490 | + | 1.37267i | 0.164158 | + | 0.0482011i | 0.362779 | − | 0.931875i | \(-0.381828\pi\) |
−0.198621 | + | 0.980076i | \(0.563646\pi\) | |||||||
\(812\) | 1.42393 | + | 2.21568i | 0.0499702 | + | 0.0777552i | ||||
\(813\) | 17.9810 | + | 21.5343i | 0.630621 | + | 0.755240i | ||||
\(814\) | 2.03680 | + | 2.35060i | 0.0713899 | + | 0.0823884i | ||||
\(815\) | 22.1640 | − | 22.0668i | 0.776372 | − | 0.772968i | ||||
\(816\) | 7.27660 | − | 0.910789i | 0.254732 | − | 0.0318840i | ||||
\(817\) | −3.45834 | − | 0.497235i | −0.120992 | − | 0.0173960i | ||||
\(818\) | −19.0803 | − | 12.2622i | −0.667127 | − | 0.428737i | ||||
\(819\) | 1.03493 | − | 3.10056i | 0.0361635 | − | 0.108342i | ||||
\(820\) | −1.99154 | + | 0.428653i | −0.0695477 | + | 0.0149692i | ||||
\(821\) | −19.9985 | − | 31.1183i | −0.697954 | − | 1.08604i | −0.991502 | − | 0.130093i | \(-0.958472\pi\) |
0.293548 | − | 0.955944i | \(-0.405164\pi\) | |||||||
\(822\) | 0.264220 | − | 14.4521i | 0.00921573 | − | 0.504075i | ||||
\(823\) | −12.4013 | − | 10.7458i | −0.432281 | − | 0.374574i | 0.411367 | − | 0.911470i | \(-0.365051\pi\) |
−0.843649 | + | 0.536896i | \(0.819597\pi\) | |||||||
\(824\) | 0.881420 | − | 0.258808i | 0.0307057 | − | 0.00901601i | ||||
\(825\) | 21.0250 | − | 31.1398i | 0.731995 | − | 1.08415i | ||||
\(826\) | 2.60665 | − | 0.374780i | 0.0906970 | − | 0.0130403i | ||||
\(827\) | − | 20.8536i | − | 0.725152i | −0.931954 | − | 0.362576i | \(-0.881897\pi\) | ||
0.931954 | − | 0.362576i | \(-0.118103\pi\) | |||||||
\(828\) | 12.4295 | + | 7.24621i | 0.431955 | + | 0.251823i | ||||
\(829\) | 45.9011 | 1.59421 | 0.797106 | − | 0.603840i | \(-0.206363\pi\) | ||||
0.797106 | + | 0.603840i | \(0.206363\pi\) | |||||||
\(830\) | 24.3385 | + | 1.79448i | 0.844803 | + | 0.0622874i | ||||
\(831\) | 37.4034 | + | 6.07760i | 1.29751 | + | 0.210829i | ||||
\(832\) | 0.534322 | + | 1.81973i | 0.0185243 | + | 0.0630879i | ||||
\(833\) | −21.3424 | − | 18.4933i | −0.739472 | − | 0.640756i | ||||
\(834\) | 4.75915 | + | 0.0870089i | 0.164796 | + | 0.00301287i | ||||
\(835\) | −10.1350 | + | 3.75480i | −0.350735 | + | 0.129940i | ||||
\(836\) | 2.98786 | − | 1.36451i | 0.103337 | − | 0.0471926i | ||||
\(837\) | −14.1841 | − | 0.778654i | −0.490274 | − | 0.0269142i | ||||
\(838\) | −31.9402 | − | 20.5267i | −1.10336 | − | 0.709084i | ||||
\(839\) | −5.15148 | + | 35.8293i | −0.177849 | + | 1.23697i | 0.683879 | + | 0.729595i | \(0.260291\pi\) |
−0.861728 | + | 0.507370i | \(0.830618\pi\) | |||||||
\(840\) | 0.204143 | − | 2.21565i | 0.00704360 | − | 0.0764473i | ||||
\(841\) | 6.71543 | + | 4.31575i | 0.231567 | + | 0.148819i | ||||
\(842\) | 7.95581 | − | 6.89375i | 0.274175 | − | 0.237574i | ||||
\(843\) | −24.5291 | − | 29.3764i | −0.844827 | − | 1.01178i | ||||
\(844\) | −23.6201 | + | 15.1797i | −0.813037 | + | 0.522507i | ||||
\(845\) | −18.4318 | − | 10.1172i | −0.634074 | − | 0.348041i | ||||
\(846\) | 3.73684 | − | 20.6103i | 0.128475 | − | 0.708598i | ||||
\(847\) | 4.31235 | − | 1.26622i | 0.148174 | − | 0.0435078i | ||||
\(848\) | 1.86402 | + | 0.851270i | 0.0640108 | + | 0.0292327i | ||||
\(849\) | −7.53247 | − | 17.3251i | −0.258514 | − | 0.594596i | ||||
\(850\) | 8.87872 | − | 19.2178i | 0.304538 | − | 0.659164i | ||||
\(851\) | 0.759500 | + | 3.35316i | 0.0260353 | + | 0.114945i | ||||
\(852\) | −5.39733 | − | 19.7074i | −0.184910 | − | 0.675163i | ||||
\(853\) | 21.9576 | − | 3.15703i | 0.751814 | − | 0.108095i | 0.244255 | − | 0.969711i | \(-0.421457\pi\) |
0.507560 | + | 0.861617i | \(0.330548\pi\) | |||||||
\(854\) | 2.25692 | + | 1.03070i | 0.0772304 | + | 0.0352699i | ||||
\(855\) | 2.88375 | + | 4.18062i | 0.0986220 | + | 0.142974i | ||||
\(856\) | −8.88017 | − | 7.69471i | −0.303518 | − | 0.263000i | ||||
\(857\) | 46.1218 | + | 13.5426i | 1.57549 | + | 0.462606i | 0.948594 | − | 0.316495i | \(-0.102506\pi\) |
0.626898 | + | 0.779102i | \(0.284324\pi\) | |||||||
\(858\) | −10.5985 | − | 9.52833i | −0.361825 | − | 0.325292i | ||||
\(859\) | −0.128080 | − | 0.280457i | −0.00437004 | − | 0.00956906i | 0.907434 | − | 0.420194i | \(-0.138038\pi\) |
−0.911804 | + | 0.410625i | \(0.865311\pi\) | |||||||
\(860\) | 4.92557 | + | 9.06782i | 0.167961 | + | 0.309210i | ||||
\(861\) | 0.271261 | − | 0.865012i | 0.00924455 | − | 0.0294795i | ||||
\(862\) | −4.73048 | + | 32.9012i | −0.161121 | + | 1.12062i | ||||
\(863\) | −0.195700 | + | 1.36112i | −0.00666170 | + | 0.0463331i | −0.992881 | − | 0.119109i | \(-0.961996\pi\) |
0.986219 | + | 0.165442i | \(0.0529052\pi\) | |||||||
\(864\) | 5.05842 | − | 1.18844i | 0.172091 | − | 0.0404316i | ||||
\(865\) | 26.6628 | + | 49.0854i | 0.906563 | + | 1.66895i | ||||
\(866\) | −15.8399 | − | 34.6845i | −0.538260 | − | 1.17863i | ||||
\(867\) | −1.07249 | + | 1.19295i | −0.0364238 | + | 0.0405146i | ||||
\(868\) | 1.50698 | + | 0.442488i | 0.0511501 | + | 0.0150190i | ||||
\(869\) | −31.0820 | − | 26.9327i | −1.05438 | − | 0.913628i | ||||
\(870\) | 5.86299 | + | 16.7596i | 0.198774 | + | 0.568205i | ||||
\(871\) | −18.2280 | − | 8.32447i | −0.617634 | − | 0.282064i | ||||
\(872\) | −2.18079 | + | 0.313551i | −0.0738509 | + | 0.0106182i | ||||
\(873\) | −20.0768 | + | 11.8887i | −0.679496 | + | 0.402373i | ||||
\(874\) | 3.62372 | + | 0.228069i | 0.122574 | + | 0.00771454i | ||||
\(875\) | −5.11650 | − | 3.88305i | −0.172969 | − | 0.131271i | ||||
\(876\) | −8.57262 | + | 3.72714i | −0.289642 | + | 0.125928i | ||||
\(877\) | 22.3934 | + | 10.2267i | 0.756172 | + | 0.345332i | 0.755917 | − | 0.654668i | \(-0.227191\pi\) |
0.000255372 | 1.00000i | \(0.499919\pi\) | ||||||||
\(878\) | −10.4360 | + | 3.06428i | −0.352197 | + | 0.103414i | ||||
\(879\) | 5.97007 | + | 2.85946i | 0.201365 | + | 0.0964472i | ||||
\(880\) | −8.50441 | − | 4.66804i | −0.286684 | − | 0.157360i | ||||
\(881\) | 28.3862 | − | 18.2427i | 0.956355 | − | 0.614612i | 0.0333679 | − | 0.999443i | \(-0.489377\pi\) |
0.922987 | + | 0.384831i | \(0.125740\pi\) | |||||||
\(882\) | −16.4267 | − | 11.4262i | −0.553115 | − | 0.384741i | ||||
\(883\) | −0.965230 | + | 0.836377i | −0.0324826 | + | 0.0281463i | −0.670951 | − | 0.741502i | \(-0.734114\pi\) |
0.638468 | + | 0.769648i | \(0.279568\pi\) | |||||||
\(884\) | −6.75517 | − | 4.34129i | −0.227201 | − | 0.146013i | ||||
\(885\) | 17.6785 | + | 1.62884i | 0.594255 | + | 0.0547527i | ||||
\(886\) | −3.51433 | + | 24.4427i | −0.118066 | + | 0.821168i | ||||
\(887\) | 38.0487 | + | 24.4524i | 1.27755 | + | 0.821031i | 0.990583 | − | 0.136910i | \(-0.0437172\pi\) |
0.286965 | + | 0.957941i | \(0.407354\pi\) | |||||||
\(888\) | 1.03213 | + | 0.690293i | 0.0346362 | + | 0.0231647i | ||||
\(889\) | 8.60628 | − | 3.93036i | 0.288645 | − | 0.131820i | ||||
\(890\) | −22.8872 | + | 8.47924i | −0.767180 | + | 0.284225i | ||||
\(891\) | −27.6579 | + | 27.5629i | −0.926576 | + | 0.923391i | ||||
\(892\) | 3.73902 | + | 3.23988i | 0.125192 | + | 0.108479i | ||||
\(893\) | −1.48927 | − | 5.07199i | −0.0498365 | − | 0.169728i | ||||
\(894\) | 5.96915 | − | 36.7360i | 0.199638 | − | 1.22864i | ||||
\(895\) | 57.2971 | + | 4.22452i | 1.91523 | + | 0.141210i | ||||
\(896\) | −0.574502 | −0.0191928 | ||||||||
\(897\) | −5.36149 | − | 14.8136i | −0.179015 | − | 0.494611i | ||||
\(898\) | − | 17.0407i | − | 0.568654i | ||||||
\(899\) | −12.4056 | + | 1.78366i | −0.413751 | + | 0.0594884i | ||||
\(900\) | 4.81172 | − | 14.2073i | 0.160391 | − | 0.473577i | ||||
\(901\) | −8.32474 | + | 2.44437i | −0.277337 | + | 0.0814336i | ||||
\(902\) | −2.98718 | − | 2.58841i | −0.0994623 | − | 0.0861846i | ||||
\(903\) | −4.59137 | − | 0.0839414i | −0.152791 | − | 0.00279340i | ||||
\(904\) | 9.36055 | + | 14.5653i | 0.311327 | + | 0.484435i | ||||
\(905\) | 17.4967 | − | 3.76593i | 0.581610 | − | 0.125184i | ||||
\(906\) | −11.2856 | − | 7.54783i | −0.374939 | − | 0.250760i | ||||
\(907\) | −1.28958 | − | 0.828764i | −0.0428199 | − | 0.0275187i | 0.519056 | − | 0.854740i | \(-0.326284\pi\) |
−0.561876 | + | 0.827222i | \(0.689920\pi\) | |||||||
\(908\) | 2.80346 | + | 0.403077i | 0.0930361 | + | 0.0133766i | ||||
\(909\) | 39.8132 | − | 16.4510i | 1.32052 | − | 0.545645i | ||||
\(910\) | −1.72655 | + | 1.71898i | −0.0572347 | + | 0.0569837i | ||||
\(911\) | 20.9992 | + | 24.2344i | 0.695736 | + | 0.802922i | 0.988170 | − | 0.153364i | \(-0.0490107\pi\) |
−0.292434 | + | 0.956286i | \(0.594465\pi\) | |||||||
\(912\) | 1.00656 | − | 0.840475i | 0.0333307 | − | 0.0278309i | ||||
\(913\) | 25.6001 | + | 39.8345i | 0.847239 | + | 1.31833i | ||||
\(914\) | −6.33122 | − | 1.85901i | −0.209418 | − | 0.0614907i | ||||
\(915\) | 13.1822 | + | 10.2959i | 0.435790 | + | 0.340372i | ||||
\(916\) | −5.59047 | − | 19.0394i | −0.184714 | − | 0.629079i | ||||
\(917\) | −2.41986 | − | 1.10511i | −0.0799109 | − | 0.0364941i | ||||
\(918\) | −12.8908 | + | 17.8279i | −0.425459 | + | 0.588409i | ||||
\(919\) | 37.6970i | 1.24351i | 0.783212 | + | 0.621754i | \(0.213580\pi\) | ||||
−0.783212 | + | 0.621754i | \(0.786420\pi\) | |||||||
\(920\) | −5.85488 | − | 8.98445i | −0.193030 | − | 0.296209i | ||||
\(921\) | −9.16840 | − | 33.4767i | −0.302109 | − | 1.10310i | ||||
\(922\) | 19.0973 | − | 2.74577i | 0.628936 | − | 0.0904273i | ||||
\(923\) | −9.29441 | + | 20.3519i | −0.305929 | + | 0.669892i | ||||
\(924\) | 3.67388 | − | 2.26726i | 0.120862 | − | 0.0745872i | ||||
\(925\) | 3.26706 | − | 1.47470i | 0.107420 | − | 0.0484878i | ||||
\(926\) | −10.6463 | + | 36.2579i | −0.349858 | + | 1.19151i | ||||
\(927\) | −1.23571 | + | 2.46333i | −0.0405859 | + | 0.0809062i | ||||
\(928\) | 4.17018 | − | 1.90446i | 0.136893 | − | 0.0625169i | ||||
\(929\) | −42.9138 | + | 37.1850i | −1.40796 | + | 1.22000i | −0.465772 | + | 0.884905i | \(0.654223\pi\) |
−0.942184 | + | 0.335096i | \(0.891231\pi\) | |||||||
\(930\) | 9.18712 | + | 5.26356i | 0.301257 | + | 0.172599i | ||||
\(931\) | −4.99837 | − | 0.718657i | −0.163815 | − | 0.0235530i | ||||
\(932\) | −0.872003 | + | 6.06492i | −0.0285634 | + | 0.198663i | ||||
\(933\) | 15.7865 | − | 50.3407i | 0.516826 | − | 1.64808i | ||||
\(934\) | 14.5560 | − | 12.6128i | 0.476286 | − | 0.412704i | ||||
\(935\) | 40.1551 | − | 8.64285i | 1.31321 | − | 0.282652i | ||||
\(936\) | −5.08565 | − | 2.55117i | −0.166230 | − | 0.0833877i | ||||
\(937\) | 40.9032 | + | 12.0103i | 1.33625 | + | 0.392358i | 0.870329 | − | 0.492470i | \(-0.163906\pi\) |
0.465918 | + | 0.884828i | \(0.345724\pi\) | |||||||
\(938\) | 3.97511 | − | 4.58752i | 0.129792 | − | 0.149788i | ||||
\(939\) | 17.2431 | − | 10.6412i | 0.562708 | − | 0.347262i | ||||
\(940\) | −9.38366 | + | 12.4779i | −0.306061 | + | 0.406983i | ||||
\(941\) | −0.546060 | − | 3.79793i | −0.0178011 | − | 0.123809i | 0.978983 | − | 0.203941i | \(-0.0653750\pi\) |
−0.996784 | + | 0.0801317i | \(0.974466\pi\) | |||||||
\(942\) | 2.91384 | − | 0.798024i | 0.0949380 | − | 0.0260010i | ||||
\(943\) | −1.56180 | − | 4.08053i | −0.0508593 | − | 0.132880i | ||||
\(944\) | − | 4.58389i | − | 0.149193i | ||||||
\(945\) | 4.44327 | + | 4.98142i | 0.144539 | + | 0.162046i | ||||
\(946\) | −8.31745 | + | 18.2127i | −0.270424 | + | 0.592145i | ||||
\(947\) | −12.3754 | + | 3.63375i | −0.402146 | + | 0.118081i | −0.476550 | − | 0.879147i | \(-0.658113\pi\) |
0.0744036 | + | 0.997228i | \(0.476295\pi\) | |||||||
\(948\) | −14.8080 | − | 7.09254i | −0.480942 | − | 0.230355i | ||||
\(949\) | 9.82102 | + | 2.88371i | 0.318804 | + | 0.0936092i | ||||
\(950\) | −0.522258 | − | 3.74926i | −0.0169443 | − | 0.121642i | ||||
\(951\) | −22.8338 | − | 27.3460i | −0.740436 | − | 0.886755i | ||||
\(952\) | 1.83829 | − | 1.59288i | 0.0595792 | − | 0.0516257i | ||||
\(953\) | −25.7184 | + | 40.0186i | −0.833101 | + | 1.29633i | 0.119723 | + | 0.992807i | \(0.461799\pi\) |
−0.952824 | + | 0.303523i | \(0.901837\pi\) | |||||||
\(954\) | −5.68168 | + | 2.34770i | −0.183951 | + | 0.0760096i | ||||
\(955\) | −6.98700 | + | 18.6079i | −0.226094 | + | 0.602138i | ||||
\(956\) | −11.0261 | + | 17.1569i | −0.356608 | + | 0.554893i | ||||
\(957\) | −19.1520 | + | 28.6363i | −0.619096 | + | 0.925680i | ||||
\(958\) | 3.04814 | + | 6.67450i | 0.0984810 | + | 0.215643i | ||||
\(959\) | −2.59205 | − | 4.03331i | −0.0837017 | − | 0.130242i | ||||
\(960\) | −3.76682 | − | 0.900580i | −0.121574 | − | 0.0290661i | ||||
\(961\) | 15.4063 | − | 17.7799i | 0.496978 | − | 0.573544i | ||||
\(962\) | −0.383052 | − | 1.30455i | −0.0123501 | − | 0.0420605i | ||||
\(963\) | 35.0517 | − | 3.73793i | 1.12953 | − | 0.120453i | ||||
\(964\) | 10.5689 | − | 1.51958i | 0.340402 | − | 0.0489424i | ||||
\(965\) | −7.79492 | + | 35.4574i | −0.250927 | + | 1.14142i | ||||
\(966\) | 4.76310 | − | 0.294087i | 0.153250 | − | 0.00946208i | ||||
\(967\) | 37.1036i | 1.19317i | 0.802550 | + | 0.596585i | \(0.203476\pi\) | ||||
−0.802550 | + | 0.596585i | \(0.796524\pi\) | |||||||
\(968\) | −1.11335 | − | 7.74350i | −0.0357843 | − | 0.248885i | ||||
\(969\) | −0.890462 | + | 5.48018i | −0.0286058 | + | 0.176049i | ||||
\(970\) | 17.3496 | − | 1.20256i | 0.557062 | − | 0.0386119i | ||||
\(971\) | 14.0560 | − | 16.2215i | 0.451079 | − | 0.520573i | −0.483973 | − | 0.875083i | \(-0.660807\pi\) |
0.935052 | + | 0.354510i | \(0.115352\pi\) | |||||||
\(972\) | −7.74290 | + | 13.5295i | −0.248354 | + | 0.433959i | ||||
\(973\) | 1.32819 | − | 0.853576i | 0.0425798 | − | 0.0273644i | ||||
\(974\) | −0.426189 | + | 0.194634i | −0.0136560 | + | 0.00623648i | ||||
\(975\) | −14.0151 | + | 8.56429i | −0.448842 | + | 0.274277i | ||||
\(976\) | 2.33490 | − | 3.63318i | 0.0747383 | − | 0.116295i | ||||
\(977\) | 4.82874 | + | 0.694268i | 0.154485 | + | 0.0222116i | 0.219123 | − | 0.975697i | \(-0.429680\pi\) |
−0.0646383 | + | 0.997909i | \(0.520589\pi\) | |||||||
\(978\) | 24.0387 | − | 3.00885i | 0.768674 | − | 0.0962125i | ||||
\(979\) | −39.8390 | − | 25.6030i | −1.27326 | − | 0.818275i | ||||
\(980\) | 7.11896 | + | 13.1058i | 0.227407 | + | 0.418649i | ||||
\(981\) | 3.77431 | − | 5.42606i | 0.120504 | − | 0.173241i | ||||
\(982\) | −4.08363 | − | 6.35425i | −0.130314 | − | 0.202772i | ||||
\(983\) | −5.59955 | + | 19.0703i | −0.178598 | + | 0.608249i | 0.820720 | + | 0.571330i | \(0.193572\pi\) |
−0.999318 | + | 0.0369187i | \(0.988246\pi\) | |||||||
\(984\) | −1.42315 | − | 0.681641i | −0.0453684 | − | 0.0217299i | ||||
\(985\) | 33.4264 | − | 2.31690i | 1.06505 | − | 0.0738225i | ||||
\(986\) | −8.06334 | + | 17.6562i | −0.256789 | + | 0.562289i | ||||
\(987\) | −2.77016 | − | 6.37153i | −0.0881753 | − | 0.202808i | ||||
\(988\) | −1.43587 | −0.0456811 | ||||||||
\(989\) | −17.6038 | + | 13.4143i | −0.559769 | + | 0.426550i | ||||
\(990\) | 27.6426 | − | 9.10653i | 0.878539 | − | 0.289425i | ||||
\(991\) | −1.84800 | − | 12.8531i | −0.0587036 | − | 0.408293i | −0.997892 | − | 0.0648913i | \(-0.979330\pi\) |
0.939189 | − | 0.343402i | \(-0.111579\pi\) | |||||||
\(992\) | 1.13568 | − | 2.48679i | 0.0360578 | − | 0.0789556i | ||||
\(993\) | 29.9218 | − | 18.4656i | 0.949540 | − | 0.585988i | ||||
\(994\) | −5.12204 | − | 4.43828i | −0.162461 | − | 0.140774i | ||||
\(995\) | −16.1853 | + | 29.4869i | −0.513108 | + | 0.934798i | ||||
\(996\) | 14.0578 | + | 12.6384i | 0.445439 | + | 0.400463i | ||||
\(997\) | 56.2702 | − | 25.6978i | 1.78210 | − | 0.813856i | 0.807506 | − | 0.589859i | \(-0.200817\pi\) |
0.974590 | − | 0.223997i | \(-0.0719107\pi\) | |||||||
\(998\) | 10.8189 | + | 12.4856i | 0.342465 | + | 0.395226i | ||||
\(999\) | −3.62634 | + | 0.851985i | −0.114732 | + | 0.0269556i |
(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 | 690.2.n.a.89.14 | ✓ | 240 | |
3.2 | odd | 2 | 690.2.n.b.89.7 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.89.11 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.89.18 | yes | 240 | |
23.15 | odd | 22 | inner | 690.2.n.a.659.18 | yes | 240 | |
69.38 | even | 22 | 690.2.n.b.659.11 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.b.659.7 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.a.659.14 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.14 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.89.18 | yes | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.659.14 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.a.659.18 | yes | 240 | 23.15 | odd | 22 | inner | |
690.2.n.b.89.7 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.89.11 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.659.7 | yes | 240 | 115.84 | odd | 22 | ||
690.2.n.b.659.11 | yes | 240 | 69.38 | even | 22 |