Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(5,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.ba (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.14 | ||
Character | \(\chi\) | \(=\) | 189.5 |
Dual form | 189.2.ba.a.38.14 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.491776 | − | 0.0867134i | 0.347738 | − | 0.0613156i | 0.00294872 | − | 0.999996i | \(-0.499061\pi\) |
0.344790 | + | 0.938680i | \(0.387950\pi\) | |||||||
\(3\) | −1.45806 | + | 0.934910i | −0.841812 | + | 0.539770i | ||||
\(4\) | −1.64506 | + | 0.598753i | −0.822530 | + | 0.299377i | ||||
\(5\) | 9.76251e−5 | 0 | 0.000553660i | 4.36593e−5 | 0 | 0.000247604i | −0.984786 | − | 0.173772i | \(-0.944404\pi\) |
0.984830 | + | 0.173524i | \(0.0555155\pi\) | |||||||
\(6\) | −0.635971 | + | 0.586200i | −0.259634 | + | 0.239315i | ||||
\(7\) | −2.32328 | − | 1.26584i | −0.878118 | − | 0.478444i | ||||
\(8\) | −1.62200 | + | 0.936464i | −0.573465 | + | 0.331090i | ||||
\(9\) | 1.25189 | − | 2.72631i | 0.417296 | − | 0.908771i | ||||
\(10\) | 0 | 0.000280742i | 0 | 8.87784e-5i | ||||||
\(11\) | −4.66356 | + | 0.822312i | −1.40612 | + | 0.247936i | −0.824654 | − | 0.565637i | \(-0.808630\pi\) |
−0.581463 | + | 0.813573i | \(0.697519\pi\) | |||||||
\(12\) | 1.83882 | − | 2.41100i | 0.530821 | − | 0.695996i | ||||
\(13\) | −1.77003 | + | 2.10944i | −0.490918 | + | 0.585053i | −0.953451 | − | 0.301549i | \(-0.902496\pi\) |
0.462533 | + | 0.886602i | \(0.346941\pi\) | |||||||
\(14\) | −1.25230 | − | 0.421052i | −0.334691 | − | 0.112531i | ||||
\(15\) | 0.000375278 | 0 | 0.000898541i | 9.68965e−5 | 0 | 0.000232002i | ||||
\(16\) | 1.96567 | − | 1.64940i | 0.491418 | − | 0.412349i | ||||
\(17\) | −0.800172 | −0.194070 | −0.0970351 | − | 0.995281i | \(-0.530936\pi\) | ||||
−0.0970351 | + | 0.995281i | \(0.530936\pi\) | |||||||
\(18\) | 0.379240 | − | 1.44929i | 0.0893878 | − | 0.341601i | ||||
\(19\) | 5.20473i | 1.19405i | 0.802224 | + | 0.597024i | \(0.203650\pi\) | ||||
−0.802224 | + | 0.597024i | \(0.796350\pi\) | |||||||
\(20\) | 0.000170906 | 0 | 0.000969257i | 3.82158e−5 | 0 | 0.000216732i | ||||
\(21\) | 4.57094 | − | 0.326381i | 0.997460 | − | 0.0712221i | ||||
\(22\) | −2.22212 | + | 0.808787i | −0.473758 | + | 0.172434i | ||||
\(23\) | 1.01988 | − | 1.21545i | 0.212661 | − | 0.253439i | −0.649160 | − | 0.760651i | \(-0.724880\pi\) |
0.861821 | + | 0.507213i | \(0.169324\pi\) | |||||||
\(24\) | 1.48947 | − | 2.88185i | 0.304037 | − | 0.588255i | ||||
\(25\) | 4.69846 | + | 1.71010i | 0.939693 | + | 0.342020i | ||||
\(26\) | −0.687542 | + | 1.19086i | −0.134838 | + | 0.233546i | ||||
\(27\) | 0.723528 | + | 5.14553i | 0.139243 | + | 0.990258i | ||||
\(28\) | 4.57987 | + | 0.691318i | 0.865514 | + | 0.130647i | ||||
\(29\) | −5.40692 | − | 6.44372i | −1.00404 | − | 1.19657i | −0.980434 | − | 0.196847i | \(-0.936930\pi\) |
−0.0236057 | − | 0.999721i | \(-0.507515\pi\) | |||||||
\(30\) | 0.000262469 | 0 | 0.000409339i | 4.79200e−5 | 0 | 7.47348e-5i | ||||
\(31\) | 2.76219 | + | 7.58906i | 0.496104 | + | 1.36304i | 0.895011 | + | 0.446044i | \(0.147167\pi\) |
−0.398907 | + | 0.916991i | \(0.630610\pi\) | |||||||
\(32\) | 3.23144 | − | 3.85108i | 0.571243 | − | 0.680780i | ||||
\(33\) | 6.03097 | − | 5.55899i | 1.04986 | − | 0.967696i | ||||
\(34\) | −0.393506 | + | 0.0693856i | −0.0674856 | + | 0.0118995i | ||||
\(35\) | −0.000927658 | 0.00116273i | −0.000156803 | 0.000196537i | ||||||
\(36\) | −0.427042 | + | 5.23452i | −0.0711737 | + | 0.872420i | ||||
\(37\) | −1.02790 | − | 1.78038i | −0.168986 | − | 0.292693i | 0.769077 | − | 0.639156i | \(-0.220716\pi\) |
−0.938064 | + | 0.346463i | \(0.887383\pi\) | |||||||
\(38\) | 0.451320 | + | 2.55956i | 0.0732138 | + | 0.415216i | ||||
\(39\) | 0.608677 | − | 4.73051i | 0.0974663 | − | 0.757488i | ||||
\(40\) | 0.000360134 | 0 | 0.000989460i | 5.69422e−5 | 0 | 0.000156447i | ||||
\(41\) | 5.20305 | + | 4.36588i | 0.812580 | + | 0.681836i | 0.951222 | − | 0.308507i | \(-0.0998292\pi\) |
−0.138642 | + | 0.990343i | \(0.544274\pi\) | |||||||
\(42\) | 2.21958 | − | 0.556868i | 0.342488 | − | 0.0859266i | ||||
\(43\) | −6.39715 | − | 2.32837i | −0.975556 | − | 0.355073i | −0.195445 | − | 0.980715i | \(-0.562615\pi\) |
−0.780111 | + | 0.625641i | \(0.784837\pi\) | |||||||
\(44\) | 7.17948 | − | 4.14508i | 1.08235 | − | 0.624894i | ||||
\(45\) | −0.00138723 | 0.000959276i | −0.000206797 | 0.000143000i | ||||||
\(46\) | 0.396159 | − | 0.686167i | 0.0584104 | − | 0.101170i | ||||
\(47\) | −6.96860 | − | 2.53636i | −1.01647 | − | 0.369967i | −0.220559 | − | 0.975374i | \(-0.570788\pi\) |
−0.795916 | + | 0.605407i | \(0.793010\pi\) | |||||||
\(48\) | −1.32404 | + | 4.24265i | −0.191108 | + | 0.612373i | ||||
\(49\) | 3.79528 | + | 5.88182i | 0.542183 | + | 0.840261i | ||||
\(50\) | 2.45888 | + | 0.433567i | 0.347738 | + | 0.0613156i | ||||
\(51\) | 1.16670 | − | 0.748089i | 0.163371 | − | 0.104753i | ||||
\(52\) | 1.64877 | − | 4.52997i | 0.228644 | − | 0.628194i | ||||
\(53\) | −9.11266 | + | 5.26120i | −1.25172 | + | 0.722681i | −0.971451 | − | 0.237241i | \(-0.923757\pi\) |
−0.280269 | + | 0.959921i | \(0.590424\pi\) | |||||||
\(54\) | 0.802000 | + | 2.46771i | 0.109138 | + | 0.335813i | ||||
\(55\) | 0.00266231i | 0.000358985i | ||||||||
\(56\) | 4.95379 | − | 0.122467i | 0.661978 | − | 0.0163653i | ||||
\(57\) | −4.86596 | − | 7.58882i | −0.644512 | − | 1.00516i | ||||
\(58\) | −3.21775 | − | 2.70001i | −0.422511 | − | 0.354529i | ||||
\(59\) | −10.1204 | − | 8.49198i | −1.31756 | − | 1.10556i | −0.986817 | − | 0.161840i | \(-0.948257\pi\) |
−0.330740 | − | 0.943722i | \(-0.607298\pi\) | |||||||
\(60\) | −0.00115536 | − | 0.00125345i | −0.000149156 | − | 0.000161820i | ||||
\(61\) | 1.24316 | − | 3.41555i | 0.159170 | − | 0.437317i | −0.834314 | − | 0.551290i | \(-0.814136\pi\) |
0.993484 | + | 0.113974i | \(0.0363579\pi\) | |||||||
\(62\) | 2.01645 | + | 3.49260i | 0.256090 | + | 0.443560i | ||||
\(63\) | −6.35957 | + | 4.74930i | −0.801231 | + | 0.598355i | ||||
\(64\) | −1.31080 | + | 2.27037i | −0.163850 | + | 0.283797i | ||||
\(65\) | 0.000995113 | 0.00118593i | 0.000123429 | 0.000147096i | ||||||
\(66\) | 2.48385 | − | 3.25675i | 0.305741 | − | 0.400878i | ||||
\(67\) | 0.369304 | − | 2.09442i | 0.0451176 | − | 0.255875i | −0.953903 | − | 0.300114i | \(-0.902975\pi\) |
0.999021 | + | 0.0442393i | \(0.0140864\pi\) | |||||||
\(68\) | 1.31633 | − | 0.479105i | 0.159629 | − | 0.0581001i | ||||
\(69\) | −0.350717 | + | 2.72570i | −0.0422214 | + | 0.328136i | ||||
\(70\) | −0.000355376 | 0 | 0.000652243i | −4.24755e−5 | 0 | 7.79579e-5i | ||||
\(71\) | 7.56979 | + | 4.37042i | 0.898369 | + | 0.518673i | 0.876671 | − | 0.481091i | \(-0.159759\pi\) |
0.0216981 | + | 0.999765i | \(0.493093\pi\) | |||||||
\(72\) | 0.522528 | + | 5.59443i | 0.0615806 | + | 0.659310i | ||||
\(73\) | 6.22020 | + | 3.59123i | 0.728019 | + | 0.420322i | 0.817697 | − | 0.575649i | \(-0.195250\pi\) |
−0.0896781 | + | 0.995971i | \(0.528584\pi\) | |||||||
\(74\) | −0.659882 | − | 0.786416i | −0.0767097 | − | 0.0914191i | ||||
\(75\) | −8.44944 | + | 1.89921i | −0.975657 | + | 0.219302i | ||||
\(76\) | −3.11635 | − | 8.56210i | −0.357470 | − | 0.982140i | ||||
\(77\) | 11.8757 | + | 3.99288i | 1.35336 | + | 0.455031i | ||||
\(78\) | −0.110866 | − | 2.37913i | −0.0125531 | − | 0.269384i | ||||
\(79\) | 0.447434 | + | 2.53753i | 0.0503403 | + | 0.285494i | 0.999577 | − | 0.0290673i | \(-0.00925372\pi\) |
−0.949237 | + | 0.314561i | \(0.898143\pi\) | |||||||
\(80\) | −0.000721305 | − | 0.00124934i | −8.06443e−5 | − | 0.000139680i | ||||
\(81\) | −5.86556 | − | 6.82607i | −0.651729 | − | 0.758452i | ||||
\(82\) | 2.93732 | + | 1.69586i | 0.324373 | + | 0.187277i | ||||
\(83\) | −1.47761 | + | 1.23986i | −0.162188 | + | 0.136092i | −0.720270 | − | 0.693694i | \(-0.755982\pi\) |
0.558082 | + | 0.829786i | \(0.311538\pi\) | |||||||
\(84\) | −7.32405 | + | 3.27378i | −0.799119 | + | 0.357199i | ||||
\(85\) | −7.81169e−5 | 0 | 0.000443023i | −8.47297e−6 | 0 | 4.80526e-5i | ||||
\(86\) | −3.34787 | − | 0.590319i | −0.361010 | − | 0.0636558i | ||||
\(87\) | 13.9079 | + | 4.34035i | 1.49109 | + | 0.465335i | ||||
\(88\) | 6.79425 | − | 5.70105i | 0.724269 | − | 0.607734i | ||||
\(89\) | −3.23581 | −0.342995 | −0.171498 | − | 0.985185i | \(-0.554861\pi\) | ||||
−0.171498 | + | 0.985185i | \(0.554861\pi\) | |||||||
\(90\) | −0.000765391 | 0 | 0.000351457i | −8.06792e−5 | 0 | 3.70469e-5i | ||||
\(91\) | 6.78250 | − | 2.66024i | 0.710999 | − | 0.278869i | ||||
\(92\) | −0.950016 | + | 2.61015i | −0.0990461 | + | 0.272127i | ||||
\(93\) | −11.1225 | − | 8.48291i | −1.15335 | − | 0.879637i | ||||
\(94\) | −3.64693 | − | 0.643052i | −0.376152 | − | 0.0663257i | ||||
\(95\) | 0.00288165 | 0.000508113i | 0.000295651 | 5.21313e-5i | ||||||
\(96\) | −1.11122 | + | 8.63621i | −0.113414 | + | 0.881429i | ||||
\(97\) | −0.614218 | + | 1.68755i | −0.0623644 | + | 0.171345i | −0.966961 | − | 0.254923i | \(-0.917950\pi\) |
0.904597 | + | 0.426268i | \(0.140172\pi\) | |||||||
\(98\) | 2.37646 | + | 2.56344i | 0.240059 | + | 0.258947i | ||||
\(99\) | −3.59637 | + | 13.7438i | −0.361449 | + | 1.38130i | ||||
\(100\) | −8.75318 | −0.875318 | ||||||||
\(101\) | −3.26288 | + | 2.73788i | −0.324668 | + | 0.272429i | −0.790523 | − | 0.612432i | \(-0.790191\pi\) |
0.465855 | + | 0.884861i | \(0.345747\pi\) | |||||||
\(102\) | 0.508886 | − | 0.469061i | 0.0503872 | − | 0.0464439i | ||||
\(103\) | −15.8365 | − | 2.79240i | −1.56041 | − | 0.275143i | −0.674245 | − | 0.738508i | \(-0.735531\pi\) |
−0.886168 | + | 0.463365i | \(0.846642\pi\) | |||||||
\(104\) | 0.895580 | − | 5.07909i | 0.0878189 | − | 0.498046i | ||||
\(105\) | 0.000265535 | − | 0.00256261i | 2.59135e−5 | − | 0.000250085i | ||||
\(106\) | −4.02517 | + | 3.37752i | −0.390959 | + | 0.328054i | ||||
\(107\) | 3.48765 | + | 2.01360i | 0.337164 | + | 0.194662i | 0.659017 | − | 0.752128i | \(-0.270972\pi\) |
−0.321853 | + | 0.946790i | \(0.604306\pi\) | |||||||
\(108\) | −4.27115 | − | 8.03150i | −0.410992 | − | 0.772831i | ||||
\(109\) | 0.587845 | + | 1.01818i | 0.0563054 | + | 0.0975238i | 0.892804 | − | 0.450445i | \(-0.148735\pi\) |
−0.836499 | + | 0.547969i | \(0.815401\pi\) | |||||||
\(110\) | 0.000230858 | 0.00130926i | 2.20114e−5 | 0.000124833i | ||||||
\(111\) | 3.16324 | + | 1.63491i | 0.300242 | + | 0.155179i | ||||
\(112\) | −6.65469 | + | 1.34378i | −0.628809 | + | 0.126975i | ||||
\(113\) | −5.04317 | − | 13.8560i | −0.474422 | − | 1.30346i | −0.914166 | − | 0.405340i | \(-0.867153\pi\) |
0.439745 | − | 0.898123i | \(-0.355069\pi\) | |||||||
\(114\) | −3.05101 | − | 3.31006i | −0.285754 | − | 0.310015i | ||||
\(115\) | −0.000573380 | 0 | 0.000683327i | −5.34679e−5 | 0 | 6.37206e-5i | ||||
\(116\) | 12.7529 | + | 7.36290i | 1.18408 | + | 0.683628i | ||||
\(117\) | 3.53511 | + | 7.46644i | 0.326821 | + | 0.690272i | ||||
\(118\) | −5.71332 | − | 3.29858i | −0.525953 | − | 0.303659i | ||||
\(119\) | 1.85903 | + | 1.01289i | 0.170417 | + | 0.0928517i | ||||
\(120\) | −0.00145015 | − | 0.00110600i | −0.000132380 | − | 0.000100964i | ||||
\(121\) | 10.7360 | − | 3.90758i | 0.976000 | − | 0.355235i | ||||
\(122\) | 0.315182 | − | 1.78749i | 0.0285352 | − | 0.161831i | ||||
\(123\) | −11.6681 | − | 1.50134i | −1.05208 | − | 0.135371i | ||||
\(124\) | −9.08794 | − | 10.8306i | −0.816121 | − | 0.972616i | ||||
\(125\) | 0.00281100 | − | 0.00486880i | 0.000251424 | − | 0.000435479i | ||||
\(126\) | −2.71566 | + | 2.88705i | −0.241930 | + | 0.257199i | ||||
\(127\) | −3.46785 | − | 6.00649i | −0.307722 | − | 0.532990i | 0.670142 | − | 0.742233i | \(-0.266233\pi\) |
−0.977864 | + | 0.209243i | \(0.932900\pi\) | |||||||
\(128\) | −3.88657 | + | 10.6783i | −0.343528 | + | 0.943834i | ||||
\(129\) | 11.5043 | − | 2.58585i | 1.01289 | − | 0.227671i | ||||
\(130\) | 0.000592209 | 0 | 0.000496922i | 5.19401e−5 | 0 | 4.35829e-5i | ||||
\(131\) | 8.46265 | + | 7.10101i | 0.739385 | + | 0.620418i | 0.932672 | − | 0.360724i | \(-0.117470\pi\) |
−0.193287 | + | 0.981142i | \(0.561915\pi\) | |||||||
\(132\) | −6.59285 | + | 12.7559i | −0.573834 | + | 1.11026i | ||||
\(133\) | 6.58838 | − | 12.0921i | 0.571285 | − | 1.04851i | ||||
\(134\) | − | 1.06201i | − | 0.0917438i | ||||||
\(135\) | 0.00291951 | 0.000101745i | 0.000251271 | 8.75683e-6i | ||||||
\(136\) | 1.29788 | − | 0.749332i | 0.111292 | − | 0.0642547i | ||||
\(137\) | −3.43808 | + | 9.44606i | −0.293735 | + | 0.807031i | 0.701777 | + | 0.712397i | \(0.252390\pi\) |
−0.995512 | + | 0.0946343i | \(0.969832\pi\) | |||||||
\(138\) | 0.0638805 | + | 1.37085i | 0.00543787 | + | 0.116694i | ||||
\(139\) | 0.409252 | + | 0.0721623i | 0.0347123 | + | 0.00612072i | 0.190977 | − | 0.981594i | \(-0.438834\pi\) |
−0.156265 | + | 0.987715i | \(0.549945\pi\) | |||||||
\(140\) | 0.000829865 | − | 0.00246820i | 7.01364e−5 | − | 0.000208601i | ||||
\(141\) | 12.5319 | − | 2.81684i | 1.05538 | − | 0.237221i | ||||
\(142\) | 4.10162 | + | 1.49287i | 0.344200 | + | 0.125279i | ||||
\(143\) | 6.52003 | − | 11.2930i | 0.545232 | − | 0.944370i | ||||
\(144\) | −2.03597 | − | 7.42390i | −0.169664 | − | 0.618658i | ||||
\(145\) | −0.00409548 | + | 0.00236453i | −0.000340111 | + | 0.000196363i | ||||
\(146\) | 3.37035 | + | 1.22671i | 0.278932 | + | 0.101523i | ||||
\(147\) | −11.0327 | − | 5.02782i | −0.909964 | − | 0.414688i | ||||
\(148\) | 2.75697 | + | 2.31338i | 0.226622 | + | 0.190158i | ||||
\(149\) | 0.315032 | + | 0.865543i | 0.0258084 | + | 0.0709081i | 0.951928 | − | 0.306323i | \(-0.0990986\pi\) |
−0.926119 | + | 0.377231i | \(0.876876\pi\) | |||||||
\(150\) | −3.99055 | + | 1.66666i | −0.325827 | + | 0.136083i | ||||
\(151\) | −0.209027 | − | 1.18545i | −0.0170104 | − | 0.0964707i | 0.975121 | − | 0.221675i | \(-0.0711524\pi\) |
−0.992131 | + | 0.125204i | \(0.960041\pi\) | |||||||
\(152\) | −4.87404 | − | 8.44209i | −0.395337 | − | 0.684744i | ||||
\(153\) | −1.00172 | + | 2.18152i | −0.0809847 | + | 0.176365i | ||||
\(154\) | 6.18642 | + | 0.933822i | 0.498516 | + | 0.0752495i | ||||
\(155\) | 0.00447142 | 0.000788431i | 0.000359153 | 6.33283e-5i | ||||||
\(156\) | 1.83110 | + | 8.14643i | 0.146605 | + | 0.652236i | ||||
\(157\) | −7.40718 | + | 8.82753i | −0.591157 | + | 0.704514i | −0.975828 | − | 0.218540i | \(-0.929871\pi\) |
0.384671 | + | 0.923054i | \(0.374315\pi\) | |||||||
\(158\) | 0.440075 | + | 1.20910i | 0.0350105 | + | 0.0961905i | ||||
\(159\) | 8.36807 | − | 16.1907i | 0.663631 | − | 1.28400i | ||||
\(160\) | −0.00181672 | − | 0.00216508i | −0.000143624 | − | 0.000171164i | ||||
\(161\) | −3.90805 | + | 1.53282i | −0.307997 | + | 0.120803i | ||||
\(162\) | −3.47645 | − | 2.84828i | −0.273136 | − | 0.223782i | ||||
\(163\) | −3.42292 | + | 5.92867i | −0.268104 | + | 0.464369i | −0.968372 | − | 0.249510i | \(-0.919730\pi\) |
0.700268 | + | 0.713880i | \(0.253064\pi\) | |||||||
\(164\) | −11.1734 | − | 4.06679i | −0.872498 | − | 0.317563i | ||||
\(165\) | −0.00248902 | − | 0.00388180i | −0.000193770 | − | 0.000302198i | ||||
\(166\) | −0.619139 | + | 0.737861i | −0.0480545 | + | 0.0572691i | ||||
\(167\) | 4.35768 | − | 1.58606i | 0.337207 | − | 0.122733i | −0.167866 | − | 0.985810i | \(-0.553688\pi\) |
0.505073 | + | 0.863076i | \(0.331465\pi\) | |||||||
\(168\) | −7.10843 | + | 4.80991i | −0.548427 | + | 0.371093i | ||||
\(169\) | 0.940696 | + | 5.33495i | 0.0723613 | + | 0.410381i | ||||
\(170\) | 0 | 0.000224642i | 0 | 1.72292e-5i | ||||||
\(171\) | 14.1897 | + | 6.51574i | 1.08512 | + | 0.498271i | ||||
\(172\) | 11.9178 | 0.908725 | ||||||||
\(173\) | 18.4317 | − | 15.4661i | 1.40134 | − | 1.17586i | 0.440838 | − | 0.897587i | \(-0.354681\pi\) |
0.960501 | − | 0.278276i | \(-0.0897630\pi\) | |||||||
\(174\) | 7.21595 | + | 0.928479i | 0.547040 | + | 0.0703878i | ||||
\(175\) | −8.75113 | − | 9.92057i | −0.661524 | − | 0.749924i | ||||
\(176\) | −7.81072 | + | 9.30846i | −0.588755 | + | 0.701651i | ||||
\(177\) | 22.6953 | + | 2.92022i | 1.70589 | + | 0.219497i | ||||
\(178\) | −1.59129 | + | 0.280588i | −0.119273 | + | 0.0210310i | ||||
\(179\) | 24.6678i | 1.84376i | 0.387475 | + | 0.921880i | \(0.373347\pi\) | ||||
−0.387475 | + | 0.921880i | \(0.626653\pi\) | |||||||
\(180\) | 0.00285645 | 0.000747457i | 0.000212907 | 5.57121e-5i | ||||||
\(181\) | 7.78429 | − | 4.49426i | 0.578601 | − | 0.334056i | −0.181976 | − | 0.983303i | \(-0.558249\pi\) |
0.760577 | + | 0.649247i | \(0.224916\pi\) | |||||||
\(182\) | 3.10479 | − | 1.89638i | 0.230143 | − | 0.140569i | ||||
\(183\) | 1.38063 | + | 6.14233i | 0.102059 | + | 0.454054i | ||||
\(184\) | −0.516030 | + | 2.92655i | −0.0380422 | + | 0.215748i | ||||
\(185\) | −0.00108608 | 0.000395299i | −7.98498e−5 | 2.90630e-5i | ||||||
\(186\) | −6.20538 | − | 3.20722i | −0.455000 | − | 0.235165i | ||||
\(187\) | 3.73165 | − | 0.657991i | 0.272885 | − | 0.0481171i | ||||
\(188\) | 12.9824 | 0.946841 | ||||||||
\(189\) | 4.83248 | − | 12.8704i | 0.351511 | − | 0.936184i | ||||
\(190\) | 0.00146119 | 0.000106006 | ||||||||
\(191\) | 20.5434 | − | 3.62235i | 1.48647 | − | 0.262104i | 0.629308 | − | 0.777156i | \(-0.283338\pi\) |
0.857159 | + | 0.515051i | \(0.172227\pi\) | |||||||
\(192\) | −0.211366 | − | 4.53582i | −0.0152541 | − | 0.327345i | ||||
\(193\) | 17.1757 | − | 6.25143i | 1.23633 | − | 0.449988i | 0.360571 | − | 0.932732i | \(-0.382582\pi\) |
0.875762 | + | 0.482744i | \(0.160360\pi\) | |||||||
\(194\) | −0.155725 | + | 0.883158i | −0.0111804 | + | 0.0634070i | ||||
\(195\) | −0.00255967 | 0.000798817i | −0.000183302 | 5.72045e-5i | ||||||
\(196\) | −9.76522 | − | 7.40352i | −0.697516 | − | 0.528823i | ||||
\(197\) | −8.92564 | + | 5.15322i | −0.635925 | + | 0.367152i | −0.783043 | − | 0.621967i | \(-0.786334\pi\) |
0.147118 | + | 0.989119i | \(0.453000\pi\) | |||||||
\(198\) | −0.576842 | + | 7.07071i | −0.0409944 | + | 0.502494i | ||||
\(199\) | 11.1728i | 0.792020i | 0.918246 | + | 0.396010i | \(0.129605\pi\) | ||||
−0.918246 | + | 0.396010i | \(0.870395\pi\) | |||||||
\(200\) | −9.22237 | + | 1.62615i | −0.652120 | + | 0.114986i | ||||
\(201\) | 1.41963 | + | 3.39907i | 0.100133 | + | 0.239752i | ||||
\(202\) | −1.36719 | + | 1.62936i | −0.0961955 | + | 0.114641i | ||||
\(203\) | 4.40506 | + | 21.8149i | 0.309175 | + | 1.53111i | ||||
\(204\) | −1.47137 | + | 1.92922i | −0.103017 | + | 0.135072i | ||||
\(205\) | 0.00292516 | − | 0.00245450i | 0.000204302 | − | 0.000171430i | ||||
\(206\) | −8.03013 | −0.559486 | ||||||||
\(207\) | −2.03692 | − | 4.30213i | −0.141576 | − | 0.299019i | ||||
\(208\) | 7.06595i | 0.489935i | ||||||||
\(209\) | −4.27991 | − | 24.2726i | −0.296048 | − | 1.67897i | ||||
\(210\) | −9.16288e−5 | − | 0.00128325i | −6.32299e−6 | − | 8.85530e-5i | ||||
\(211\) | 22.3190 | − | 8.12346i | 1.53651 | − | 0.559242i | 0.571302 | − | 0.820740i | \(-0.306439\pi\) |
0.965204 | + | 0.261498i | \(0.0842165\pi\) | |||||||
\(212\) | 11.8407 | − | 14.1112i | 0.813224 | − | 0.969163i | ||||
\(213\) | −15.1232 | + | 0.704729i | −1.03622 | + | 0.0482873i | ||||
\(214\) | 1.88975 | + | 0.687813i | 0.129181 | + | 0.0470179i | ||||
\(215\) | −0.00191365 | + | 0.00331454i | −0.000130510 | + | 0.000226050i | ||||
\(216\) | −5.99217 | − | 7.66851i | −0.407716 | − | 0.521776i | ||||
\(217\) | 3.18921 | − | 21.1280i | 0.216498 | − | 1.43426i | ||||
\(218\) | 0.377378 | + | 0.449742i | 0.0255593 | + | 0.0304603i | ||||
\(219\) | −12.4269 | + | 0.579086i | −0.839733 | + | 0.0391310i | ||||
\(220\) | −0.00159406 | − | 0.00437965i | −0.000107472 | − | 0.000295276i | ||||
\(221\) | 1.41633 | − | 1.68791i | 0.0952726 | − | 0.113541i | ||||
\(222\) | 1.69738 | + | 0.529714i | 0.113920 | + | 0.0355521i | ||||
\(223\) | −23.8004 | + | 4.19666i | −1.59380 | + | 0.281029i | −0.898924 | − | 0.438105i | \(-0.855650\pi\) |
−0.694871 | + | 0.719134i | \(0.744539\pi\) | |||||||
\(224\) | −12.3824 | + | 4.85664i | −0.827334 | + | 0.324498i | ||||
\(225\) | 10.5442 | − | 10.6686i | 0.702948 | − | 0.711242i | ||||
\(226\) | −3.68161 | − | 6.37674i | −0.244897 | − | 0.424174i | ||||
\(227\) | 0.742956 | + | 4.21351i | 0.0493117 | + | 0.279661i | 0.999486 | − | 0.0320585i | \(-0.0102063\pi\) |
−0.950174 | + | 0.311719i | \(0.899095\pi\) | |||||||
\(228\) | 12.5486 | + | 9.57056i | 0.831053 | + | 0.633826i | ||||
\(229\) | 4.43062 | + | 12.1730i | 0.292784 | + | 0.804417i | 0.995657 | + | 0.0931013i | \(0.0296780\pi\) |
−0.702873 | + | 0.711315i | \(0.748100\pi\) | |||||||
\(230\) | −0.000341228 | 0 | 0.000286324i | −2.24999e−5 | 0 | 1.88797e-5i | ||||
\(231\) | −21.0485 | + | 5.28083i | −1.38489 | + | 0.347453i | ||||
\(232\) | 14.8044 | + | 5.38834i | 0.971953 | + | 0.353762i | ||||
\(233\) | −9.70366 | + | 5.60241i | −0.635708 | + | 0.367026i | −0.782959 | − | 0.622073i | \(-0.786291\pi\) |
0.147251 | + | 0.989099i | \(0.452957\pi\) | |||||||
\(234\) | 2.38593 | + | 3.36527i | 0.155973 | + | 0.219995i | ||||
\(235\) | −0.00208459 | + | 0.00361062i | −0.000135984 | + | 0.000235531i | ||||
\(236\) | 21.7332 | + | 7.91023i | 1.41471 | + | 0.514912i | ||||
\(237\) | −3.02474 | − | 3.28156i | −0.196478 | − | 0.213160i | ||||
\(238\) | 1.00206 | + | 0.336914i | 0.0649536 | + | 0.0218389i | ||||
\(239\) | 12.3508 | + | 2.17779i | 0.798909 | + | 0.140869i | 0.558177 | − | 0.829722i | \(-0.311501\pi\) |
0.240733 | + | 0.970591i | \(0.422612\pi\) | |||||||
\(240\) | 0.00221972 | + | 0.00114725i | 0.000143283 | + | 7.40550e-5i | ||||
\(241\) | −6.86595 | + | 18.8641i | −0.442275 | + | 1.21514i | 0.495717 | + | 0.868484i | \(0.334905\pi\) |
−0.937992 | + | 0.346656i | \(0.887317\pi\) | |||||||
\(242\) | 4.94087 | − | 2.85261i | 0.317611 | − | 0.183373i | ||||
\(243\) | 14.9341 | + | 4.46906i | 0.958023 | + | 0.286691i | ||||
\(244\) | 6.36314i | 0.407358i | ||||||||
\(245\) | 0.00362704 | − | 0.00152708i | 0.000231723 | − | 9.75615e-5i | ||||
\(246\) | −5.86827 | + | 0.273457i | −0.374147 | + | 0.0174350i | ||||
\(247\) | −10.9791 | − | 9.21254i | −0.698582 | − | 0.586180i | ||||
\(248\) | −11.5872 | − | 9.72278i | −0.735786 | − | 0.617397i | ||||
\(249\) | 0.995284 | − | 3.18922i | 0.0630736 | − | 0.202108i | ||||
\(250\) | 0.000960194 | − | 0.00263811i | 6.07280e−5 | − | 0.000166849i | ||||
\(251\) | −11.2730 | − | 19.5255i | −0.711547 | − | 1.23244i | −0.964276 | − | 0.264899i | \(-0.914661\pi\) |
0.252729 | − | 0.967537i | \(-0.418672\pi\) | |||||||
\(252\) | 7.61823 | − | 11.6207i | 0.479903 | − | 0.732035i | ||||
\(253\) | −3.75681 | + | 6.50699i | −0.236189 | + | 0.409091i | ||||
\(254\) | −2.22625 | − | 2.65314i | −0.139687 | − | 0.166473i | ||||
\(255\) | −0.000300287 | 0 | 0.000718987i | −1.88047e−5 | 0 | 4.50247e-5i | ||||
\(256\) | −0.0749017 | + | 0.424789i | −0.00468135 | + | 0.0265493i | ||||
\(257\) | −27.6153 | + | 10.0512i | −1.72260 | + | 0.626974i | −0.998060 | − | 0.0622616i | \(-0.980169\pi\) |
−0.724537 | + | 0.689236i | \(0.757946\pi\) | |||||||
\(258\) | 5.43329 | − | 2.26923i | 0.338262 | − | 0.141276i | ||||
\(259\) | 0.134425 | + | 5.43750i | 0.00835277 | + | 0.337870i | ||||
\(260\) | −0.00234710 | − | 0.00135510i | −0.000145561 | − | 8.40396e-5i | ||||
\(261\) | −24.3364 | + | 6.67415i | −1.50639 | + | 0.413119i | ||||
\(262\) | 4.77748 | + | 2.75828i | 0.295154 | + | 0.170407i | ||||
\(263\) | −10.7751 | − | 12.8412i | −0.664420 | − | 0.791825i | 0.323593 | − | 0.946197i | \(-0.395109\pi\) |
−0.988013 | + | 0.154371i | \(0.950665\pi\) | |||||||
\(264\) | −4.57646 | + | 14.6645i | −0.281662 | + | 0.902537i | ||||
\(265\) | 0.00202329 | + | 0.00555894i | 0.000124290 | + | 0.000341483i | ||||
\(266\) | 2.19146 | − | 6.51789i | 0.134367 | − | 0.399637i | ||||
\(267\) | 4.71801 | − | 3.02519i | 0.288738 | − | 0.185139i | ||||
\(268\) | 0.646517 | + | 3.66658i | 0.0394923 | + | 0.223972i | ||||
\(269\) | −4.71711 | − | 8.17027i | −0.287607 | − | 0.498150i | 0.685631 | − | 0.727949i | \(-0.259526\pi\) |
−0.973238 | + | 0.229799i | \(0.926193\pi\) | |||||||
\(270\) | 0.00144457 | 0.000203125i | 8.79136e−5 | 1.23618e-5i | ||||||
\(271\) | −3.40065 | − | 1.96337i | −0.206575 | − | 0.119266i | 0.393144 | − | 0.919477i | \(-0.371388\pi\) |
−0.599719 | + | 0.800211i | \(0.704721\pi\) | |||||||
\(272\) | −1.57288 | + | 1.31980i | −0.0953696 | + | 0.0800246i | ||||
\(273\) | −7.40222 | + | 10.2198i | −0.448003 | + | 0.618532i | ||||
\(274\) | −0.871668 | + | 4.94347i | −0.0526594 | + | 0.298646i | ||||
\(275\) | −23.3178 | − | 4.11156i | −1.40612 | − | 0.247936i | ||||
\(276\) | −1.05507 | − | 4.69394i | −0.0635078 | − | 0.282542i | ||||
\(277\) | −17.5744 | + | 14.7467i | −1.05595 | + | 0.886043i | −0.993706 | − | 0.112018i | \(-0.964269\pi\) |
−0.0622389 | + | 0.998061i | \(0.519824\pi\) | |||||||
\(278\) | 0.207518 | 0.0124461 | ||||||||
\(279\) | 24.1481 | + | 1.97005i | 1.44571 | + | 0.117944i | ||||
\(280\) | 0.000415809 | − | 0.00275467i | 2.48494e−5 | − | 0.000164623i | ||||
\(281\) | 0.608889 | − | 1.67291i | 0.0363233 | − | 0.0997974i | −0.920205 | − | 0.391436i | \(-0.871978\pi\) |
0.956528 | + | 0.291639i | \(0.0942006\pi\) | |||||||
\(282\) | 5.91864 | − | 2.47194i | 0.352450 | − | 0.147202i | ||||
\(283\) | −4.38907 | − | 0.773911i | −0.260903 | − | 0.0460042i | 0.0416665 | − | 0.999132i | \(-0.486733\pi\) |
−0.302569 | + | 0.953127i | \(0.597844\pi\) | |||||||
\(284\) | −15.0696 | − | 2.65717i | −0.894214 | − | 0.157674i | ||||
\(285\) | −0.00467666 | + | 0.00195322i | −0.000277022 | + | 0.000115699i | ||||
\(286\) | 2.22714 | − | 6.11901i | 0.131693 | − | 0.361825i | ||||
\(287\) | −6.56164 | − | 16.7294i | −0.387321 | − | 0.987507i | ||||
\(288\) | −6.45384 | − | 13.6310i | −0.380296 | − | 0.803215i | ||||
\(289\) | −16.3597 | −0.962337 | ||||||||
\(290\) | −0.00180902 | + | 0.00151795i | −0.000106229 | + | 8.91371e-5i | ||||
\(291\) | −0.682140 | − | 3.03479i | −0.0399877 | − | 0.177903i | ||||
\(292\) | −12.3829 | − | 2.18343i | −0.724652 | − | 0.127776i | ||||
\(293\) | 1.23196 | − | 6.98681i | 0.0719721 | − | 0.408174i | −0.927443 | − | 0.373965i | \(-0.877998\pi\) |
0.999415 | − | 0.0342085i | \(-0.0108910\pi\) | |||||||
\(294\) | −5.86161 | − | 1.51588i | −0.341856 | − | 0.0884077i | ||||
\(295\) | −0.00568967 | + | 0.00477420i | −0.000331265 | + | 0.000277965i | ||||
\(296\) | 3.33453 | + | 1.92519i | 0.193815 | + | 0.111899i | ||||
\(297\) | −7.60545 | − | 23.4015i | −0.441313 | − | 1.35790i | ||||
\(298\) | 0.229979 | + | 0.398336i | 0.0133223 | + | 0.0230750i | ||||
\(299\) | 0.758694 | + | 4.30277i | 0.0438764 | + | 0.248836i | ||||
\(300\) | 12.7627 | − | 8.18344i | 0.736854 | − | 0.472471i | ||||
\(301\) | 11.9150 | + | 13.5073i | 0.686771 | + | 0.778546i | ||||
\(302\) | −0.205589 | − | 0.564852i | −0.0118303 | − | 0.0325036i | ||||
\(303\) | 2.19781 | − | 7.04249i | 0.126261 | − | 0.404581i | ||||
\(304\) | 8.58466 | + | 10.2308i | 0.492364 | + | 0.586777i | ||||
\(305\) | −0.00176969 | − | 0.00102173i | −0.000101332 | − | 5.85042e-5i | ||||
\(306\) | −0.303458 | + | 1.15968i | −0.0173475 | + | 0.0662946i | ||||
\(307\) | −6.20672 | − | 3.58345i | −0.354236 | − | 0.204518i | 0.312313 | − | 0.949979i | \(-0.398896\pi\) |
−0.666549 | + | 0.745461i | \(0.732229\pi\) | |||||||
\(308\) | −21.9270 | + | 0.542076i | −1.24941 | + | 0.0308877i | ||||
\(309\) | 25.7012 | − | 10.7342i | 1.46209 | − | 0.610646i | ||||
\(310\) | 0.00213057 | 0.000775463i | 0.000121008 | 4.40434e-5i | ||||||
\(311\) | −4.03708 | + | 22.8954i | −0.228922 | + | 1.29828i | 0.626122 | + | 0.779725i | \(0.284641\pi\) |
−0.855044 | + | 0.518556i | \(0.826470\pi\) | |||||||
\(312\) | 3.44268 | + | 8.24291i | 0.194903 | + | 0.466663i | ||||
\(313\) | 15.3541 | + | 18.2983i | 0.867863 | + | 1.03428i | 0.999078 | + | 0.0429247i | \(0.0136676\pi\) |
−0.131216 | + | 0.991354i | \(0.541888\pi\) | |||||||
\(314\) | −2.87721 | + | 4.98347i | −0.162370 | + | 0.281234i | ||||
\(315\) | 0.00200864 | + | 0.00398469i | 0.000113174 | + | 0.000224512i | ||||
\(316\) | −2.25541 | − | 3.90648i | −0.126877 | − | 0.219757i | ||||
\(317\) | −9.82360 | + | 26.9901i | −0.551748 | + | 1.51592i | 0.279574 | + | 0.960124i | \(0.409807\pi\) |
−0.831322 | + | 0.555791i | \(0.812415\pi\) | |||||||
\(318\) | 2.71127 | − | 8.68781i | 0.152041 | − | 0.487188i | ||||
\(319\) | 30.5143 | + | 25.6045i | 1.70847 | + | 1.43358i | ||||
\(320\) | 0.00112905 | 0.000947383i | 6.31156e−5 | 5.29603e-5i | ||||||
\(321\) | −6.96774 | + | 0.324692i | −0.388901 | + | 0.0181225i | ||||
\(322\) | −1.78897 | + | 1.09268i | −0.0996954 | + | 0.0608929i | ||||
\(323\) | − | 4.16468i | − | 0.231729i | ||||||
\(324\) | 13.7363 | + | 7.71728i | 0.763129 | + | 0.428738i | ||||
\(325\) | −11.9238 | + | 6.88420i | −0.661412 | + | 0.381866i | ||||
\(326\) | −1.16922 | + | 3.21239i | −0.0647569 | + | 0.177918i | ||||
\(327\) | −1.80902 | − | 0.934984i | −0.100039 | − | 0.0517047i | ||||
\(328\) | −12.5279 | − | 2.20900i | −0.691735 | − | 0.121972i | ||||
\(329\) | 12.9794 | + | 14.7138i | 0.715577 | + | 0.811201i | ||||
\(330\) | −0.00156064 | − | 0.00169315i | −8.59106e−5 | − | 9.32047e-5i | ||||
\(331\) | 24.4353 | + | 8.89374i | 1.34309 | + | 0.488844i | 0.910784 | − | 0.412884i | \(-0.135478\pi\) |
0.432304 | + | 0.901728i | \(0.357701\pi\) | |||||||
\(332\) | 1.68838 | − | 2.92436i | 0.0926620 | − | 0.160495i | ||||
\(333\) | −6.14070 | + | 0.573550i | −0.336508 | + | 0.0314304i | ||||
\(334\) | 2.00547 | − | 1.15786i | 0.109734 | − | 0.0633551i | ||||
\(335\) | −0.00112355 | 0.000408937i | −6.13858e−5 | 2.23426e-5i | ||||||
\(336\) | 8.44664 | − | 8.18084i | 0.460802 | − | 0.446302i | ||||
\(337\) | 5.30836 | + | 4.45424i | 0.289165 | + | 0.242638i | 0.775817 | − | 0.630958i | \(-0.217338\pi\) |
−0.486653 | + | 0.873596i | \(0.661782\pi\) | |||||||
\(338\) | 0.925224 | + | 2.54203i | 0.0503256 | + | 0.138268i | ||||
\(339\) | 20.3074 | + | 15.4880i | 1.10294 | + | 0.841192i | ||||
\(340\) | −0.000136754 | 0 | 0.000775572i | −7.41655e−6 | 0 | 4.20613e-5i | ||||
\(341\) | −19.1222 | − | 33.1207i | −1.03553 | − | 1.79358i | ||||
\(342\) | 7.54317 | + | 1.97384i | 0.407888 | + | 0.106733i | ||||
\(343\) | −1.37203 | − | 18.4694i | −0.0740826 | − | 0.997252i | ||||
\(344\) | 12.5566 | − | 2.21407i | 0.677008 | − | 0.119375i | ||||
\(345\) | 0.00147487 | 0.000460275i | 7.94045e−5 | 2.47804e-5i | ||||||
\(346\) | 7.72317 | − | 9.20412i | 0.415200 | − | 0.494817i | ||||
\(347\) | −0.540900 | − | 1.48611i | −0.0290370 | − | 0.0797786i | 0.924327 | − | 0.381601i | \(-0.124627\pi\) |
−0.953364 | + | 0.301823i | \(0.902405\pi\) | |||||||
\(348\) | −25.4782 | + | 1.18727i | −1.36577 | + | 0.0636441i | ||||
\(349\) | −11.3433 | − | 13.5184i | −0.607194 | − | 0.723626i | 0.371618 | − | 0.928386i | \(-0.378803\pi\) |
−0.978812 | + | 0.204760i | \(0.934359\pi\) | |||||||
\(350\) | −5.16384 | − | 4.11986i | −0.276019 | − | 0.220216i | ||||
\(351\) | −12.1349 | − | 7.58151i | −0.647711 | − | 0.404671i | ||||
\(352\) | −11.9032 | + | 20.6170i | −0.634444 | + | 1.09889i | ||||
\(353\) | −2.55746 | − | 0.930839i | −0.136120 | − | 0.0495435i | 0.273062 | − | 0.961996i | \(-0.411964\pi\) |
−0.409182 | + | 0.912453i | \(0.634186\pi\) | |||||||
\(354\) | 11.4142 | − | 0.531896i | 0.606660 | − | 0.0282700i | ||||
\(355\) | 0.00315873 | − | 0.00376442i | 0.000167648 | − | 0.000199795i | ||||
\(356\) | 5.32310 | − | 1.93745i | 0.282124 | − | 0.102685i | ||||
\(357\) | −3.65754 | + | 0.261161i | −0.193577 | + | 0.0138221i | ||||
\(358\) | 2.13903 | + | 12.1311i | 0.113051 | + | 0.641146i | ||||
\(359\) | − | 22.8763i | − | 1.20737i | −0.797224 | − | 0.603683i | \(-0.793699\pi\) | ||
0.797224 | − | 0.603683i | \(-0.206301\pi\) | |||||||
\(360\) | 0.00314842 | 0.000256855i | 0.000165937 | 1.35374e-5i | ||||||
\(361\) | −8.08924 | −0.425750 | ||||||||
\(362\) | 3.43841 | − | 2.88517i | 0.180719 | − | 0.151641i | ||||
\(363\) | −12.0005 | + | 15.7347i | −0.629863 | + | 0.825857i | ||||
\(364\) | −9.56480 | + | 8.43730i | −0.501332 | + | 0.442235i | ||||
\(365\) | 0.00259557 | − | 0.00309328i | 0.000135858 | − | 0.000161910i | ||||
\(366\) | 1.21158 | + | 2.90093i | 0.0633305 | + | 0.151634i | ||||
\(367\) | 7.27732 | − | 1.28319i | 0.379873 | − | 0.0669819i | 0.0195487 | − | 0.999809i | \(-0.493777\pi\) |
0.360325 | + | 0.932827i | \(0.382666\pi\) | |||||||
\(368\) | − | 4.07137i | − | 0.212235i | ||||||
\(369\) | 18.4164 | − | 8.71956i | 0.958719 | − | 0.453922i | ||||
\(370\) | −0.000499828 | 0 | 0.000288576i | −2.59848e−5 | 0 | 1.50023e-5i | ||||
\(371\) | 27.8311 | − | 0.688038i | 1.44492 | − | 0.0357211i | ||||
\(372\) | 23.3764 | + | 7.29526i | 1.21201 | + | 0.378242i | ||||
\(373\) | 5.62504 | − | 31.9012i | 0.291254 | − | 1.65178i | −0.390798 | − | 0.920477i | \(-0.627801\pi\) |
0.682051 | − | 0.731304i | \(-0.261088\pi\) | |||||||
\(374\) | 1.77808 | − | 0.647169i | 0.0919424 | − | 0.0334643i | ||||
\(375\) | 0.000453274 | 0.00972705i | 2.34070e−5 | 0.000502303i | ||||||
\(376\) | 13.6783 | − | 2.41185i | 0.705405 | − | 0.124382i | ||||
\(377\) | 23.1631 | 1.19296 | ||||||||
\(378\) | 1.26046 | − | 6.74840i | 0.0648313 | − | 0.347100i | ||||
\(379\) | −6.72815 | −0.345602 | −0.172801 | − | 0.984957i | \(-0.555282\pi\) | ||||
−0.172801 | + | 0.984957i | \(0.555282\pi\) | |||||||
\(380\) | −0.00504472 | 0.000889521i | −0.000258789 | 4.56315e-5i | ||||||
\(381\) | 10.6719 | + | 5.51571i | 0.546736 | + | 0.282578i | ||||
\(382\) | 9.78864 | − | 3.56278i | 0.500831 | − | 0.182287i | ||||
\(383\) | 0.0493036 | − | 0.279615i | 0.00251930 | − | 0.0142876i | −0.983522 | − | 0.180787i | \(-0.942135\pi\) |
0.986041 | + | 0.166500i | \(0.0532465\pi\) | |||||||
\(384\) | −4.31636 | − | 19.2032i | −0.220268 | − | 0.979957i | ||||
\(385\) | 0.00337006 | − | 0.00618529i | 0.000171754 | − | 0.000315231i | ||||
\(386\) | 7.90450 | − | 4.56367i | 0.402329 | − | 0.232285i | ||||
\(387\) | −14.3564 | + | 14.5258i | −0.729776 | + | 0.738387i | ||||
\(388\) | − | 3.14389i | − | 0.159607i | ||||||
\(389\) | −0.733433 | + | 0.129324i | −0.0371865 | + | 0.00655699i | −0.192211 | − | 0.981354i | \(-0.561566\pi\) |
0.155024 | + | 0.987911i | \(0.450455\pi\) | |||||||
\(390\) | −0.00132805 | 0.000170881i | −6.72486e−5 | 8.65291e-6i | ||||||
\(391\) | −0.816083 | + | 0.972570i | −0.0412711 | + | 0.0491850i | ||||
\(392\) | −11.6641 | − | 5.98620i | −0.589124 | − | 0.302349i | ||||
\(393\) | −18.9779 | − | 2.44189i | −0.957307 | − | 0.123177i | ||||
\(394\) | −3.94256 | + | 3.30820i | −0.198623 | + | 0.166665i | ||||
\(395\) | 0.00144861 | 7.28873e−5 | ||||||||
\(396\) | −2.31287 | − | 24.7627i | −0.116226 | − | 1.24437i | ||||
\(397\) | 16.7288i | 0.839593i | 0.907618 | + | 0.419797i | \(0.137899\pi\) | ||||
−0.907618 | + | 0.419797i | \(0.862101\pi\) | |||||||
\(398\) | 0.968833 | + | 5.49452i | 0.0485632 | + | 0.275416i | ||||
\(399\) | 1.69872 | + | 23.7905i | 0.0850426 | + | 1.19102i | ||||
\(400\) | 12.0563 | − | 4.38812i | 0.602814 | − | 0.219406i | ||||
\(401\) | −11.8787 | + | 14.1565i | −0.593194 | + | 0.706941i | −0.976216 | − | 0.216798i | \(-0.930439\pi\) |
0.383023 | + | 0.923739i | \(0.374883\pi\) | |||||||
\(402\) | 0.992885 | + | 1.54848i | 0.0495206 | + | 0.0772311i | ||||
\(403\) | −20.8978 | − | 7.60619i | −1.04099 | − | 0.378891i | ||||
\(404\) | 3.72832 | − | 6.45763i | 0.185491 | − | 0.321279i | ||||
\(405\) | −0.00435195 | + | 0.00258113i | −0.000216250 | + | 0.000128257i | ||||
\(406\) | 4.05795 | + | 10.3461i | 0.201393 | + | 0.513467i | ||||
\(407\) | 6.25772 | + | 7.45767i | 0.310184 | + | 0.369663i | ||||
\(408\) | −1.19183 | + | 2.30597i | −0.0590045 | + | 0.114163i | ||||
\(409\) | −6.09589 | − | 16.7483i | −0.301423 | − | 0.828152i | −0.994253 | − | 0.107052i | \(-0.965859\pi\) |
0.692831 | − | 0.721100i | \(-0.256363\pi\) | |||||||
\(410\) | 0.00122569 | − | 0.00146072i | 6.05323e−5 | − | 7.21396e-5i | ||||
\(411\) | −3.81828 | − | 16.9872i | −0.188342 | − | 0.837918i | ||||
\(412\) | 27.7239 | − | 4.88847i | 1.36586 | − | 0.240838i | ||||
\(413\) | 12.7629 | + | 32.5401i | 0.628021 | + | 1.60119i | ||||
\(414\) | −1.37476 | − | 1.93906i | −0.0675658 | − | 0.0952994i | ||||
\(415\) | 0.000542208 | 0 | 0.000939132i | 2.66159e−5 | 0 | 4.61002e-5i | ||||
\(416\) | 2.40387 | + | 13.6330i | 0.117860 | + | 0.668415i | ||||
\(417\) | −0.664181 | + | 0.277397i | −0.0325251 | + | 0.0135842i | ||||
\(418\) | −4.20952 | − | 11.5656i | −0.205894 | − | 0.565690i | ||||
\(419\) | 0.812929 | + | 0.682129i | 0.0397142 | + | 0.0333242i | 0.662429 | − | 0.749125i | \(-0.269526\pi\) |
−0.622715 | + | 0.782449i | \(0.713970\pi\) | |||||||
\(420\) | 0.00109755 | + | 0.00437463i | 5.35549e−5 | + | 0.000213460i | ||||
\(421\) | −14.4175 | − | 5.24755i | −0.702667 | − | 0.255750i | −0.0341181 | − | 0.999418i | \(-0.510862\pi\) |
−0.668549 | + | 0.743668i | \(0.733084\pi\) | |||||||
\(422\) | 10.2716 | − | 5.93029i | 0.500011 | − | 0.288682i | ||||
\(423\) | −15.6388 | + | 15.8233i | −0.760385 | + | 0.769357i | ||||
\(424\) | 9.85384 | − | 17.0674i | 0.478545 | − | 0.828864i | ||||
\(425\) | −3.75958 | − | 1.36837i | −0.182366 | − | 0.0663759i | ||||
\(426\) | −7.37610 | + | 1.65795i | −0.357373 | + | 0.0803280i | ||||
\(427\) | −7.21177 | + | 6.36165i | −0.349002 | + | 0.307862i | ||||
\(428\) | −6.94305 | − | 1.22425i | −0.335605 | − | 0.0591762i | ||||
\(429\) | 1.05135 | + | 22.5616i | 0.0507598 | + | 1.08928i | ||||
\(430\) | −0.000653672 | 0.00179595i | −3.15229e−5 | 8.66084e-5i | ||||||
\(431\) | −3.29736 | + | 1.90373i | −0.158828 | + | 0.0916996i | −0.577308 | − | 0.816527i | \(-0.695897\pi\) |
0.418479 | + | 0.908226i | \(0.362563\pi\) | |||||||
\(432\) | 9.90924 | + | 8.92105i | 0.476758 | + | 0.429214i | ||||
\(433\) | − | 29.5261i | − | 1.41893i | −0.704739 | − | 0.709467i | \(-0.748936\pi\) | ||
0.704739 | − | 0.709467i | \(-0.251064\pi\) | |||||||
\(434\) | −0.263703 | − | 10.6668i | −0.0126582 | − | 0.512023i | ||||
\(435\) | 0.00376084 | − | 0.00727653i | 0.000180319 | − | 0.000348883i | ||||
\(436\) | −1.57668 | − | 1.32299i | −0.0755092 | − | 0.0633598i | ||||
\(437\) | 6.32610 | + | 5.30822i | 0.302618 | + | 0.253927i | ||||
\(438\) | −6.06104 | + | 1.36236i | −0.289608 | + | 0.0650961i | ||||
\(439\) | 5.64596 | − | 15.5122i | 0.269467 | − | 0.740355i | −0.728974 | − | 0.684541i | \(-0.760003\pi\) |
0.998441 | − | 0.0558134i | \(-0.0177752\pi\) | |||||||
\(440\) | −0.00249315 | − | 0.00431827i | −0.000118856 | − | 0.000205865i | ||||
\(441\) | 20.7870 | − | 2.98373i | 0.989855 | − | 0.142083i | ||||
\(442\) | 0.550152 | − | 0.952891i | 0.0261681 | − | 0.0453244i | ||||
\(443\) | 17.9563 | + | 21.3994i | 0.853127 | + | 1.01672i | 0.999622 | + | 0.0275061i | \(0.00875656\pi\) |
−0.146494 | + | 0.989212i | \(0.546799\pi\) | |||||||
\(444\) | −6.18264 | − | 0.795522i | −0.293415 | − | 0.0377538i | ||||
\(445\) | −0.000315896 | 0.00179154i | −1.49749e−5 | 8.49270e-5i | ||||||
\(446\) | −11.3406 | + | 4.12763i | −0.536992 | + | 0.195449i | ||||
\(447\) | −1.26854 | − | 0.967489i | −0.0599999 | − | 0.0457606i | ||||
\(448\) | 5.91930 | − | 3.61545i | 0.279661 | − | 0.170814i | ||||
\(449\) | 20.1252 | + | 11.6193i | 0.949765 | + | 0.548347i | 0.893008 | − | 0.450041i | \(-0.148591\pi\) |
0.0567572 | + | 0.998388i | \(0.481924\pi\) | |||||||
\(450\) | 4.26028 | − | 6.16090i | 0.200832 | − | 0.290428i | ||||
\(451\) | −27.8549 | − | 16.0820i | −1.31164 | − | 0.757273i | ||||
\(452\) | 16.5926 | + | 19.7743i | 0.780452 | + | 0.930107i | ||||
\(453\) | 1.41307 | + | 1.53304i | 0.0663916 | + | 0.0720285i | ||||
\(454\) | 0.730736 | + | 2.00768i | 0.0342952 | + | 0.0942252i | ||||
\(455\) | −0.000810726 | − | 0.00401490i | −3.80074e−5 | − | 0.000188222i | ||||
\(456\) | 14.9993 | + | 7.75230i | 0.702404 | + | 0.363035i | ||||
\(457\) | 3.14739 | + | 17.8497i | 0.147229 | + | 0.834976i | 0.965551 | + | 0.260215i | \(0.0837936\pi\) |
−0.818322 | + | 0.574760i | \(0.805095\pi\) | |||||||
\(458\) | 3.23444 | + | 5.60221i | 0.151135 | + | 0.261774i | ||||
\(459\) | −0.578947 | − | 4.11731i | −0.0270229 | − | 0.192180i | ||||
\(460\) | 0.00135239 | 0.000780802i | 6.30555e−5 | 3.64051e-5i | ||||||
\(461\) | −0.780576 | + | 0.654981i | −0.0363550 | + | 0.0305055i | −0.660784 | − | 0.750576i | \(-0.729776\pi\) |
0.624429 | + | 0.781081i | \(0.285332\pi\) | |||||||
\(462\) | −9.89322 | + | 4.42217i | −0.460274 | + | 0.205738i | ||||
\(463\) | 5.96496 | − | 33.8290i | 0.277215 | − | 1.57216i | −0.454621 | − | 0.890685i | \(-0.650225\pi\) |
0.731837 | − | 0.681480i | \(-0.238663\pi\) | |||||||
\(464\) | −21.2565 | − | 3.74809i | −0.986807 | − | 0.174001i | ||||
\(465\) | −0.00578249 | + | 0.00532995i | −0.000268156 | + | 0.000247171i | ||||
\(466\) | −4.28622 | + | 3.59657i | −0.198556 | + | 0.166608i | ||||
\(467\) | −1.42508 | −0.0659449 | −0.0329724 | − | 0.999456i | \(-0.510497\pi\) | ||||
−0.0329724 | + | 0.999456i | \(0.510497\pi\) | |||||||
\(468\) | −10.2860 | − | 10.1661i | −0.475472 | − | 0.469927i | ||||
\(469\) | −3.50921 | + | 4.39846i | −0.162040 | + | 0.203102i | ||||
\(470\) | −0.000712064 | 0.00195638i | −3.28451e−5 | 9.02410e-5i | ||||||
\(471\) | 2.54718 | − | 19.7961i | 0.117368 | − | 0.912158i | ||||
\(472\) | 24.3677 | + | 4.29668i | 1.12161 | + | 0.197771i | ||||
\(473\) | 31.7482 | + | 5.59806i | 1.45978 | + | 0.257399i | ||||
\(474\) | −1.77205 | − | 1.35151i | −0.0813931 | − | 0.0620767i | ||||
\(475\) | −8.90062 | + | 24.4542i | −0.408388 | + | 1.12204i | ||||
\(476\) | −3.66468 | − | 0.553173i | −0.167970 | − | 0.0253546i | ||||
\(477\) | 2.93564 | + | 31.4304i | 0.134414 | + | 1.43910i | ||||
\(478\) | 6.26269 | 0.286449 | ||||||||
\(479\) | 27.4187 | − | 23.0070i | 1.25279 | − | 1.05122i | 0.256381 | − | 0.966576i | \(-0.417470\pi\) |
0.996411 | − | 0.0846415i | \(-0.0269745\pi\) | |||||||
\(480\) | 0.00467304 | + | 0.00145835i | 0.000213294 | + | 6.65643e-5i | ||||
\(481\) | 5.57503 | + | 0.983028i | 0.254200 | + | 0.0448222i | ||||
\(482\) | −1.74075 | + | 9.87226i | −0.0792888 | + | 0.449669i | ||||
\(483\) | 4.26513 | − | 5.88862i | 0.194070 | − | 0.267941i | ||||
\(484\) | −15.3217 | + | 12.8564i | −0.696441 | + | 0.584383i | ||||
\(485\) | 0.000874365 | 0 | 0.000504815i | 3.97029e−5 | 0 | 2.29225e-5i | ||||
\(486\) | 7.73176 | + | 0.902792i | 0.350720 | + | 0.0409515i | ||||
\(487\) | −17.4657 | − | 30.2515i | −0.791446 | − | 1.37082i | −0.925071 | − | 0.379793i | \(-0.875995\pi\) |
0.133625 | − | 0.991032i | \(-0.457338\pi\) | |||||||
\(488\) | 1.18213 | + | 6.70421i | 0.0535127 | + | 0.303485i | ||||
\(489\) | −0.551945 | − | 11.8445i | −0.0249598 | − | 0.535626i | ||||
\(490\) | 0.00165128 | − | 0.00106549i | 7.45970e−5 | − | 4.81341e-5i | ||||
\(491\) | −3.72269 | − | 10.2280i | −0.168003 | − | 0.461584i | 0.826909 | − | 0.562336i | \(-0.190097\pi\) |
−0.994912 | + | 0.100752i | \(0.967875\pi\) | |||||||
\(492\) | 20.0936 | − | 4.51651i | 0.905891 | − | 0.203620i | ||||
\(493\) | 4.32647 | + | 5.15608i | 0.194854 | + | 0.232218i | ||||
\(494\) | −6.19810 | − | 3.57847i | −0.278866 | − | 0.161003i | ||||
\(495\) | 0.00725828 | + | 0.00333291i | 0.000326235 | + | 0.000149803i | ||||
\(496\) | 17.9469 | + | 10.3617i | 0.805841 | + | 0.465252i | ||||
\(497\) | −12.0545 | − | 19.7359i | −0.540718 | − | 0.885276i | ||||
\(498\) | 0.212909 | − | 1.65469i | 0.00954068 | − | 0.0741482i | ||||
\(499\) | −5.96349 | + | 2.17053i | −0.266962 | + | 0.0971663i | −0.472033 | − | 0.881581i | \(-0.656480\pi\) |
0.205071 | + | 0.978747i | \(0.434258\pi\) | |||||||
\(500\) | −0.00170906 | + | 0.00969257i | −7.64316e−5 | + | 0.000433465i | ||||
\(501\) | −4.87093 | + | 6.38661i | −0.217617 | + | 0.285333i | ||||
\(502\) | −7.23693 | − | 8.62463i | −0.323000 | − | 0.384936i | ||||
\(503\) | −6.72425 | + | 11.6468i | −0.299820 | + | 0.519303i | −0.976095 | − | 0.217346i | \(-0.930260\pi\) |
0.676275 | + | 0.736649i | \(0.263593\pi\) | |||||||
\(504\) | 5.86770 | − | 13.6589i | 0.261368 | − | 0.608415i | ||||
\(505\) | 0.00119731 | + | 0.00207381i | 5.32798e−5 | + | 9.22833e-5i | ||||
\(506\) | −1.28327 | + | 3.52575i | −0.0570482 | + | 0.156739i | ||||
\(507\) | −6.35929 | − | 6.89923i | −0.282426 | − | 0.306405i | ||||
\(508\) | 9.30123 | + | 7.80466i | 0.412675 | + | 0.346276i | ||||
\(509\) | 13.2396 | + | 11.1093i | 0.586833 | + | 0.492411i | 0.887183 | − | 0.461418i | \(-0.152659\pi\) |
−0.300350 | + | 0.953829i | \(0.597104\pi\) | |||||||
\(510\) | −0.000210020 | 0 | 0.000327542i | −9.29984e−6 | 0 | 1.45038e-5i | ||||
\(511\) | −9.90533 | − | 16.2172i | −0.438186 | − | 0.717409i | ||||
\(512\) | − | 22.5118i | − | 0.994888i | ||||||
\(513\) | −26.7811 | + | 3.76577i | −1.18242 | + | 0.166263i | ||||
\(514\) | −12.7090 | + | 7.33754i | −0.560570 | + | 0.323645i | ||||
\(515\) | −0.00309207 | + | 0.00849540i | −0.000136253 | + | 0.000374352i | ||||
\(516\) | −17.3769 | + | 11.1421i | −0.764976 | + | 0.490503i | ||||
\(517\) | 34.5842 | + | 6.09812i | 1.52101 | + | 0.268195i | ||||
\(518\) | 0.537611 | + | 2.66237i | 0.0236213 | + | 0.116978i | ||||
\(519\) | −12.4152 | + | 39.7825i | −0.544968 | + | 1.74626i | ||||
\(520\) | −0.00272466 | 0.000991693i | −0.000119484 | 4.34886e-5i | ||||||
\(521\) | −14.2785 | + | 24.7311i | −0.625553 | + | 1.08349i | 0.362881 | + | 0.931835i | \(0.381793\pi\) |
−0.988434 | + | 0.151653i | \(0.951540\pi\) | |||||||
\(522\) | −11.3893 | + | 5.39248i | −0.498498 | + | 0.236023i | ||||
\(523\) | −13.1449 | + | 7.58924i | −0.574788 | + | 0.331854i | −0.759059 | − | 0.651021i | \(-0.774341\pi\) |
0.184271 | + | 0.982875i | \(0.441008\pi\) | |||||||
\(524\) | −18.1733 | − | 6.61455i | −0.793905 | − | 0.288958i | ||||
\(525\) | 22.0345 | + | 6.28328i | 0.961666 | + | 0.274225i | ||||
\(526\) | −6.41244 | − | 5.38068i | −0.279596 | − | 0.234609i | ||||
\(527\) | −2.21023 | − | 6.07255i | −0.0962790 | − | 0.264525i | ||||
\(528\) | 2.68595 | − | 20.8746i | 0.116891 | − | 0.908451i | ||||
\(529\) | 3.55675 | + | 20.1713i | 0.154641 | + | 0.877015i | ||||
\(530\) | 0.00147704 | + | 0.00255831i | 6.41585e−5 | + | 0.000111126i | ||||
\(531\) | −35.8213 | + | 16.9602i | −1.55451 | + | 0.736011i | ||||
\(532\) | −3.59812 | + | 23.8370i | −0.155998 | + | 1.03346i | ||||
\(533\) | −18.4191 | + | 3.24779i | −0.797821 | + | 0.140677i | ||||
\(534\) | 2.05788 | − | 1.89683i | 0.0890532 | − | 0.0820839i | ||||
\(535\) | 0.00145533 | − | 0.00173439i | 6.29194e−5 | − | 7.49844e-5i | ||||
\(536\) | 1.36234 | + | 3.74300i | 0.0588442 | + | 0.161673i | ||||
\(537\) | −23.0622 | − | 35.9672i | −0.995207 | − | 1.55210i | ||||
\(538\) | −3.02823 | − | 3.60891i | −0.130556 | − | 0.155591i | ||||
\(539\) | −22.5362 | − | 24.3094i | −0.970703 | − | 1.04708i | ||||
\(540\) | −0.00486369 | + | 0.00158069i | −0.000209300 | + | 6.80220e-5i | ||||
\(541\) | 8.84080 | − | 15.3127i | 0.380096 | − | 0.658345i | −0.610980 | − | 0.791646i | \(-0.709224\pi\) |
0.991076 | + | 0.133301i | \(0.0425577\pi\) | |||||||
\(542\) | −1.84261 | − | 0.670655i | −0.0791469 | − | 0.0288071i | ||||
\(543\) | −7.14824 | + | 13.8305i | −0.306760 | + | 0.593524i | ||||
\(544\) | −2.58570 | + | 3.08152i | −0.110861 | + | 0.132119i | ||||
\(545\) | 0.000621113 | 0 | 0.000226067i | 2.66055e−5 | 0 | 9.68363e-6i | ||||
\(546\) | −2.75404 | + | 5.66774i | −0.117862 | + | 0.242557i | ||||
\(547\) | −1.23750 | − | 7.01822i | −0.0529117 | − | 0.300077i | 0.946855 | − | 0.321660i | \(-0.104241\pi\) |
−0.999767 | + | 0.0215823i | \(0.993130\pi\) | |||||||
\(548\) | − | 17.5979i | − | 0.751745i | ||||||
\(549\) | −7.75557 | − | 7.66513i | −0.331000 | − | 0.327140i | ||||
\(550\) | −11.8237 | −0.504163 | ||||||||
\(551\) | 33.5378 | − | 28.1416i | 1.42876 | − | 1.19887i | ||||
\(552\) | −1.98366 | − | 4.74953i | −0.0844300 | − | 0.202153i | ||||
\(553\) | 2.17260 | − | 6.46177i | 0.0923882 | − | 0.274782i | ||||
\(554\) | −7.36395 | + | 8.77601i | −0.312864 | + | 0.372857i | ||||
\(555\) | 0.00121400 | − | 0.00159175i | 5.15312e−5 | − | 6.75661e-5i | ||||
\(556\) | −0.716453 | + | 0.126330i | −0.0303844 | + | 0.00535758i | ||||
\(557\) | − | 7.64857i | − | 0.324080i | −0.986784 | − | 0.162040i | \(-0.948193\pi\) | ||
0.986784 | − | 0.162040i | \(-0.0518074\pi\) | |||||||
\(558\) | 12.0463 | − | 1.12514i | 0.509960 | − | 0.0476310i | ||||
\(559\) | 16.2347 | − | 9.37312i | 0.686655 | − | 0.396441i | ||||
\(560\) | 9.43293e−5 | 0.00381562i | 3.98614e−6 | 0.000161239i | ||||||
\(561\) | −4.82582 | + | 4.44815i | −0.203746 | + | 0.187801i | ||||
\(562\) | 0.154374 | − | 0.875496i | 0.00651185 | − | 0.0369306i | ||||
\(563\) | 33.9970 | − | 12.3739i | 1.43280 | − | 0.521498i | 0.495070 | − | 0.868853i | \(-0.335143\pi\) |
0.937733 | + | 0.347356i | \(0.112920\pi\) | |||||||
\(564\) | −18.9292 | + | 12.1374i | −0.797062 | + | 0.511077i | ||||
\(565\) | −0.00816385 | + | 0.00143951i | −0.000343456 | + | 6.05605e-5i | ||||
\(566\) | −2.22555 | −0.0935467 | ||||||||
\(567\) | 4.98660 | + | 23.2838i | 0.209418 | + | 0.977826i | ||||
\(568\) | −16.3710 | −0.686910 | ||||||||
\(569\) | −5.25761 | + | 0.927059i | −0.220411 | + | 0.0388643i | −0.282763 | − | 0.959190i | \(-0.591251\pi\) |
0.0623521 | + | 0.998054i | \(0.480140\pi\) | |||||||
\(570\) | −0.00213050 | + | 0.00136608i | −8.92369e−5 | + | 5.72187e-5i | ||||
\(571\) | −34.9232 | + | 12.7110i | −1.46149 | + | 0.531939i | −0.945775 | − | 0.324822i | \(-0.894696\pi\) |
−0.515715 | + | 0.856760i | \(0.672473\pi\) | |||||||
\(572\) | −3.96411 | + | 22.4816i | −0.165748 | + | 0.940003i | ||||
\(573\) | −26.5670 | + | 24.4878i | −1.10985 | + | 1.02299i | ||||
\(574\) | −4.67752 | − | 7.65815i | −0.195236 | − | 0.319645i | ||||
\(575\) | 6.87043 | − | 3.96664i | 0.286517 | − | 0.165421i | ||||
\(576\) | 4.54877 | + | 6.41590i | 0.189532 | + | 0.267329i | ||||
\(577\) | − | 25.3559i | − | 1.05558i | −0.849374 | − | 0.527791i | \(-0.823020\pi\) | ||
0.849374 | − | 0.527791i | \(-0.176980\pi\) | |||||||
\(578\) | −8.04532 | + | 1.41861i | −0.334641 | + | 0.0590063i | ||||
\(579\) | −19.1987 | + | 25.1727i | −0.797869 | + | 1.04614i | ||||
\(580\) | 0.00532154 | − | 0.00634197i | 0.000220965 | − | 0.000263336i | ||||
\(581\) | 5.00236 | − | 1.01012i | 0.207533 | − | 0.0419069i | ||||
\(582\) | −0.598617 | − | 1.43329i | −0.0248135 | − | 0.0594117i | ||||
\(583\) | 38.1711 | − | 32.0294i | 1.58089 | − | 1.32652i | ||||
\(584\) | −13.4522 | −0.556658 | ||||||||
\(585\) | 0.00447898 | − | 0.00122834i | 0.000185183 | − | 5.07855e-5i | ||||
\(586\) | − | 3.54278i | − | 0.146351i | ||||||
\(587\) | 2.85469 | + | 16.1897i | 0.117826 | + | 0.668222i | 0.985312 | + | 0.170762i | \(0.0546229\pi\) |
−0.867487 | + | 0.497460i | \(0.834266\pi\) | |||||||
\(588\) | 21.1599 | + | 1.66519i | 0.872621 | + | 0.0686713i | ||||
\(589\) | −39.4990 | + | 14.3765i | −1.62753 | + | 0.592372i | ||||
\(590\) | −0.00238406 | + | 0.00284121i | −9.81501e−5 | + | 0.000116971i | ||||
\(591\) | 8.19633 | − | 15.8584i | 0.337152 | − | 0.652326i | ||||
\(592\) | −4.95708 | − | 1.80423i | −0.203735 | − | 0.0741533i | ||||
\(593\) | −15.3209 | + | 26.5365i | −0.629153 | + | 1.08973i | 0.358569 | + | 0.933503i | \(0.383265\pi\) |
−0.987722 | + | 0.156222i | \(0.950068\pi\) | |||||||
\(594\) | −5.76941 | − | 10.8488i | −0.236722 | − | 0.445133i | ||||
\(595\) | 0.000742286 | 0 | 0.000930384i | 3.04307e−5 | 0 | 3.81420e-5i | ||||
\(596\) | −1.03649 | − | 1.23524i | −0.0424564 | − | 0.0505976i | ||||
\(597\) | −10.4456 | − | 16.2907i | −0.427509 | − | 0.666732i | ||||
\(598\) | 0.746216 | + | 2.05021i | 0.0305150 | + | 0.0838393i | ||||
\(599\) | 12.5598 | − | 14.9682i | 0.513181 | − | 0.611585i | −0.445773 | − | 0.895146i | \(-0.647071\pi\) |
0.958954 | + | 0.283561i | \(0.0915158\pi\) | |||||||
\(600\) | 11.9265 | − | 10.9931i | 0.486896 | − | 0.448792i | ||||
\(601\) | −20.6262 | + | 3.63695i | −0.841360 | + | 0.148354i | −0.577688 | − | 0.816258i | \(-0.696045\pi\) |
−0.263672 | + | 0.964612i | \(0.584934\pi\) | |||||||
\(602\) | 7.03079 | + | 5.60936i | 0.286554 | + | 0.228620i | ||||
\(603\) | −5.24773 | − | 3.62882i | −0.213704 | − | 0.147777i | ||||
\(604\) | 1.05366 | + | 1.82498i | 0.0428726 | + | 0.0742576i | ||||
\(605\) | −0.00111537 | − | 0.00632557i | −4.53462e−5 | − | 0.000257171i | ||||
\(606\) | 0.470150 | − | 3.65391i | 0.0190985 | − | 0.148430i | ||||
\(607\) | −9.22736 | − | 25.3520i | −0.374527 | − | 1.02900i | −0.973590 | − | 0.228302i | \(-0.926683\pi\) |
0.599063 | − | 0.800702i | \(-0.295540\pi\) | |||||||
\(608\) | 20.0438 | + | 16.8188i | 0.812884 | + | 0.682091i | ||||
\(609\) | −26.8178 | − | 27.6891i | −1.08671 | − | 1.12202i | ||||
\(610\) | −0.000958889 | 0 | 0.000349007i | −3.88243e−5 | 0 | 1.41309e-5i | ||||
\(611\) | 17.6849 | − | 10.2104i | 0.715456 | − | 0.413069i | ||||
\(612\) | 0.341707 | − | 4.18852i | 0.0138127 | − | 0.169311i | ||||
\(613\) | 13.4525 | − | 23.3005i | 0.543343 | − | 0.941097i | −0.455366 | − | 0.890304i | \(-0.650492\pi\) |
0.998709 | − | 0.0507931i | \(-0.0161749\pi\) | |||||||
\(614\) | −3.36305 | − | 1.22405i | −0.135722 | − | 0.0493986i | ||||
\(615\) | −0.00197033 | + | 0.00631358i | −7.94513e−5 | + | 0.000254588i | ||||
\(616\) | −23.0016 | + | 4.64469i | −0.926761 | + | 0.187140i | ||||
\(617\) | −22.1664 | − | 3.90853i | −0.892386 | − | 0.157352i | −0.291390 | − | 0.956604i | \(-0.594118\pi\) |
−0.600995 | + | 0.799253i | \(0.705229\pi\) | |||||||
\(618\) | 11.7084 | − | 7.50745i | 0.470982 | − | 0.301994i | ||||
\(619\) | 3.67268 | − | 10.0906i | 0.147617 | − | 0.405575i | −0.843742 | − | 0.536749i | \(-0.819652\pi\) |
0.991359 | + | 0.131173i | \(0.0418745\pi\) | |||||||
\(620\) | −0.00688367 | + | 0.00397429i | −0.000276455 | + | 0.000159611i | ||||
\(621\) | 6.99206 | + | 4.36844i | 0.280582 | + | 0.175299i | ||||
\(622\) | 11.6095i | 0.465499i | ||||||||
\(623\) | 7.51770 | + | 4.09603i | 0.301190 | + | 0.164104i | ||||
\(624\) | −6.60603 | − | 10.3026i | −0.264453 | − | 0.412434i | ||||
\(625\) | 19.1511 | + | 16.0697i | 0.766044 | + | 0.642787i | ||||
\(626\) | 9.13746 | + | 7.66724i | 0.365207 | + | 0.306445i | ||||
\(627\) | 28.9331 | + | 31.3896i | 1.15548 | + | 1.25358i | ||||
\(628\) | 6.89975 | − | 18.9569i | 0.275330 | − | 0.756463i | ||||
\(629\) | 0.822500 | + | 1.42461i | 0.0327952 | + | 0.0568030i | ||||
\(630\) | 0.00133333 | + | 0.00178540i | 5.31211e−5 | + | 7.11320e-5i | ||||
\(631\) | −0.130873 | + | 0.226679i | −0.00520998 | + | 0.00902394i | −0.868619 | − | 0.495481i | \(-0.834992\pi\) |
0.863409 | + | 0.504505i | \(0.168325\pi\) | |||||||
\(632\) | −3.10204 | − | 3.69687i | −0.123393 | − | 0.147054i | ||||
\(633\) | −24.9478 | + | 32.7108i | −0.991587 | + | 1.30014i | ||||
\(634\) | −2.49061 | + | 14.1249i | −0.0989146 | + | 0.560973i | ||||
\(635\) | −0.00366410 | + | 0.00133362i | −0.000145405 | + | 5.29233e-5i | ||||
\(636\) | −4.07178 | + | 31.6450i | −0.161457 | + | 1.25481i | ||||
\(637\) | −19.1251 | − | 2.40510i | −0.757765 | − | 0.0952934i | ||||
\(638\) | 17.2264 | + | 9.94569i | 0.682001 | + | 0.393754i | ||||
\(639\) | 21.3917 | − | 15.1663i | 0.846241 | − | 0.599971i | ||||
\(640\) | 0.00553270 | + | 0.00319431i | 0.000218699 | + | 0.000126266i | ||||
\(641\) | −32.1360 | − | 38.2982i | −1.26930 | − | 1.51269i | −0.756166 | − | 0.654380i | \(-0.772930\pi\) |
−0.513131 | − | 0.858310i | \(-0.671515\pi\) | |||||||
\(642\) | −3.39841 | + | 0.763872i | −0.134125 | + | 0.0301476i | ||||
\(643\) | 5.42130 | + | 14.8949i | 0.213795 | + | 0.587397i | 0.999514 | − | 0.0311869i | \(-0.00992871\pi\) |
−0.785718 | + | 0.618584i | \(0.787706\pi\) | |||||||
\(644\) | 5.51120 | − | 4.86154i | 0.217172 | − | 0.191571i | ||||
\(645\) | −0.000308576 | − | 0.00662189i | −1.21502e−5 | − | 0.000260737i | ||||
\(646\) | −0.361134 | − | 2.04809i | −0.0142086 | − | 0.0805811i | ||||
\(647\) | 7.51759 | + | 13.0208i | 0.295547 | + | 0.511902i | 0.975112 | − | 0.221713i | \(-0.0711648\pi\) |
−0.679565 | + | 0.733615i | \(0.737831\pi\) | |||||||
\(648\) | 15.9063 | + | 5.57902i | 0.624859 | + | 0.219165i | ||||
\(649\) | 54.1799 | + | 31.2808i | 2.12675 | + | 1.22788i | ||||
\(650\) | −5.26688 | + | 4.41943i | −0.206584 | + | 0.173344i | ||||
\(651\) | 15.1027 | + | 33.7876i | 0.591923 | + | 1.32424i | ||||
\(652\) | 2.08110 | − | 11.8025i | 0.0815022 | − | 0.462222i | ||||
\(653\) | 15.1536 | + | 2.67199i | 0.593007 | + | 0.104563i | 0.462094 | − | 0.886831i | \(-0.347098\pi\) |
0.130912 | + | 0.991394i | \(0.458209\pi\) | |||||||
\(654\) | −0.970708 | − | 0.302937i | −0.0379577 | − | 0.0118458i | ||||
\(655\) | 0.00475771 | − | 0.00399219i | 0.000185899 | − | 0.000155988i | ||||
\(656\) | 17.4286 | 0.680471 | ||||||||
\(657\) | 17.5778 | − | 12.4624i | 0.685775 | − | 0.486204i | ||||
\(658\) | 7.65884 | + | 6.11043i | 0.298573 | + | 0.238209i | ||||
\(659\) | −5.58157 | + | 15.3352i | −0.217427 | + | 0.597376i | −0.999672 | − | 0.0255942i | \(-0.991852\pi\) |
0.782245 | + | 0.622971i | \(0.214074\pi\) | |||||||
\(660\) | 0.00641882 | + | 0.00489550i | 0.000249852 | + | 0.000190557i | ||||
\(661\) | 29.6565 | + | 5.22925i | 1.15351 | + | 0.203394i | 0.717506 | − | 0.696553i | \(-0.245284\pi\) |
0.436000 | + | 0.899947i | \(0.356395\pi\) | |||||||
\(662\) | 12.7879 | + | 2.25486i | 0.497017 | + | 0.0876375i | ||||
\(663\) | −0.487046 | + | 3.78522i | −0.0189153 | + | 0.147006i | ||||
\(664\) | 1.23560 | − | 3.39478i | 0.0479505 | − | 0.131743i | ||||
\(665\) | −0.00605170 | − | 0.00482821i | −0.000234675 | − | 0.000187230i | ||||
\(666\) | −2.97011 | + | 0.814539i | −0.115090 | + | 0.0315628i | ||||
\(667\) | −13.3465 | −0.516777 | ||||||||
\(668\) | −6.21898 | + | 5.21834i | −0.240620 | + | 0.201904i | ||||
\(669\) | 30.7790 | − | 28.3703i | 1.18999 | − | 1.09686i | ||||
\(670\) | −0.000587993 | 0 | 0.000103679i | −2.27162e−5 | 0 | 4.00547e-6i | ||||
\(671\) | −2.98890 | + | 16.9509i | −0.115385 | + | 0.654383i | ||||
\(672\) | 13.5138 | − | 18.6577i | 0.521305 | − | 0.719737i | ||||
\(673\) | 8.51271 | − | 7.14301i | 0.328141 | − | 0.275343i | −0.463801 | − | 0.885939i | \(-0.653515\pi\) |
0.791942 | + | 0.610597i | \(0.209070\pi\) | |||||||
\(674\) | 2.99677 | + | 1.73018i | 0.115431 | + | 0.0666442i | ||||
\(675\) | −5.39991 | + | 25.4134i | −0.207843 | + | 0.978162i | ||||
\(676\) | −4.74182 | − | 8.21308i | −0.182378 | − | 0.315888i | ||||
\(677\) | 5.39839 | + | 30.6158i | 0.207477 | + | 1.17666i | 0.893494 | + | 0.449075i | \(0.148246\pi\) |
−0.686017 | + | 0.727585i | \(0.740643\pi\) | |||||||
\(678\) | 11.3297 | + | 5.85570i | 0.435114 | + | 0.224887i | ||||
\(679\) | 3.56318 | − | 3.14315i | 0.136742 | − | 0.120623i | ||||
\(680\) | −0.000288169 | 0 | 0.000791738i | −1.10508e−5 | 0 | 3.03618e-5i | ||||
\(681\) | −5.02253 | − | 5.44897i | −0.192464 | − | 0.208805i | ||||
\(682\) | −12.2759 | − | 14.6298i | −0.470067 | − | 0.560204i | ||||
\(683\) | 17.3662 | + | 10.0264i | 0.664500 | + | 0.383649i | 0.793989 | − | 0.607932i | \(-0.208001\pi\) |
−0.129490 | + | 0.991581i | \(0.541334\pi\) | |||||||
\(684\) | −27.2443 | − | 2.22264i | −1.04171 | − | 0.0849848i | ||||
\(685\) | 0.00489426 | + | 0.00282570i | 0.000187000 | + | 0.000107965i | ||||
\(686\) | −2.27627 | − | 8.96382i | −0.0869085 | − | 0.342240i | ||||
\(687\) | −17.8408 | − | 13.6068i | −0.680669 | − | 0.519132i | ||||
\(688\) | −16.4151 | + | 5.97461i | −0.625820 | + | 0.227780i | ||||
\(689\) | 5.03151 | − | 28.5351i | 0.191685 | − | 1.08710i | ||||
\(690\) | 0.000765219 | 0 | 9.84610e-5i | 2.91314e−5 | 0 | 3.74835e-6i | ||||
\(691\) | −3.41783 | − | 4.07321i | −0.130020 | − | 0.154952i | 0.697106 | − | 0.716968i | \(-0.254471\pi\) |
−0.827127 | + | 0.562016i | \(0.810026\pi\) | |||||||
\(692\) | −21.0610 | + | 36.4787i | −0.800618 | + | 1.38671i | ||||
\(693\) | 25.7529 | − | 27.3782i | 0.978270 | − | 1.04001i | ||||
\(694\) | −0.394867 | − | 0.683930i | −0.0149890 | − | 0.0259616i | ||||
\(695\) | 7.99067e−5 | 0 | 0.000219542i | 3.03103e−6 | 0 | 8.32769e-6i | ||||
\(696\) | −26.6233 | + | 5.98420i | −1.00915 | + | 0.226830i | ||||
\(697\) | −4.16334 | − | 3.49346i | −0.157698 | − | 0.132324i | ||||
\(698\) | −6.75060 | − | 5.66443i | −0.255514 | − | 0.214402i | ||||
\(699\) | 8.91078 | − | 17.2407i | 0.337037 | − | 0.652103i | ||||
\(700\) | 20.3361 | + | 11.0802i | 0.768633 | + | 0.418791i | ||||
\(701\) | − | 16.0144i | − | 0.604857i | −0.953172 | − | 0.302428i | \(-0.902203\pi\) | ||
0.953172 | − | 0.302428i | \(-0.0977973\pi\) | |||||||
\(702\) | −6.62505 | − | 2.67615i | −0.250047 | − | 0.101005i | ||||
\(703\) | 9.26641 | − | 5.34997i | 0.349489 | − | 0.201778i | ||||
\(704\) | 4.24605 | − | 11.6659i | 0.160029 | − | 0.439676i | ||||
\(705\) | −0.000336140 | − | 0.00721341i | −1.26598e−5 | − | 0.000271673i | ||||
\(706\) | −1.33841 | − | 0.235998i | −0.0503718 | − | 0.00888192i | ||||
\(707\) | 11.0463 | − | 2.23057i | 0.415439 | − | 0.0838893i | ||||
\(708\) | −39.0837 | + | 8.78497i | −1.46885 | + | 0.330159i | ||||
\(709\) | −0.229579 | − | 0.0835600i | −0.00862202 | − | 0.00313816i | 0.337706 | − | 0.941252i | \(-0.390349\pi\) |
−0.346328 | + | 0.938114i | \(0.612571\pi\) | |||||||
\(710\) | 0.00122696 | − | 0.00212516i | 4.60470e−5 | − | 7.97558e-5i | ||||
\(711\) | 7.47822 | + | 1.95685i | 0.280455 | + | 0.0733876i | ||||
\(712\) | 5.24849 | − | 3.03022i | 0.196696 | − | 0.113562i | ||||
\(713\) | 12.0412 | + | 4.38265i | 0.450948 | + | 0.164132i | ||||
\(714\) | −1.77604 | + | 0.445590i | −0.0664667 | + | 0.0166758i | ||||
\(715\) | −0.00561597 | − | 0.00471236i | −0.000210025 | − | 0.000176232i | ||||
\(716\) | −14.7699 | − | 40.5801i | −0.551979 | − | 1.51655i | ||||
\(717\) | −20.0443 | + | 8.37157i | −0.748569 | + | 0.312642i | ||||
\(718\) | −1.98368 | − | 11.2500i | −0.0740305 | − | 0.419848i | ||||
\(719\) | −17.6366 | − | 30.5475i | −0.657734 | − | 1.13923i | −0.981201 | − | 0.192989i | \(-0.938182\pi\) |
0.323467 | − | 0.946239i | \(-0.395152\pi\) | |||||||
\(720\) | −0.00430907 | 0.000402474i | −0.000160590 | 1.49993e-5i | ||||||
\(721\) | 33.2578 | + | 26.5340i | 1.23859 | + | 0.988178i | ||||
\(722\) | −3.97810 | + | 0.701446i | −0.148049 | + | 0.0261051i | ||||
\(723\) | −7.62521 | − | 33.9240i | −0.283584 | − | 1.26165i | ||||
\(724\) | −10.1147 | + | 12.0542i | −0.375909 | + | 0.447991i | ||||
\(725\) | −14.3848 | − | 39.5219i | −0.534238 | − | 1.46781i | ||||
\(726\) | −4.53716 | + | 8.77855i | −0.168390 | + | 0.325803i | ||||
\(727\) | 28.8861 | + | 34.4251i | 1.07133 | + | 1.27676i | 0.959098 | + | 0.283075i | \(0.0913546\pi\) |
0.112229 | + | 0.993682i | \(0.464201\pi\) | |||||||
\(728\) | −8.51002 | + | 10.6665i | −0.315402 | + | 0.395326i | ||||
\(729\) | −25.9530 | + | 7.44587i | −0.961223 | + | 0.275773i | ||||
\(730\) | 0.00100821 | − | 0.00174627i | 3.73155e−5 | − | 6.46324e-5i | ||||
\(731\) | 5.11882 | + | 1.86310i | 0.189326 | + | 0.0689092i | ||||
\(732\) | −5.94896 | − | 9.27785i | −0.219880 | − | 0.342919i | ||||
\(733\) | −28.0884 | + | 33.4744i | −1.03747 | + | 1.23641i | −0.0663525 | + | 0.997796i | \(0.521136\pi\) |
−0.971115 | + | 0.238610i | \(0.923308\pi\) | |||||||
\(734\) | 3.46755 | − | 1.26208i | 0.127989 | − | 0.0465843i | ||||
\(735\) | −0.00386077 | + | 0.00561753i | −0.000142407 | + | 0.000207206i | ||||
\(736\) | −1.38510 | − | 7.85530i | −0.0510555 | − | 0.289550i | ||||
\(737\) | 10.0712i | 0.370976i | ||||||||
\(738\) | 8.30064 | − | 5.88502i | 0.305551 | − | 0.216631i | ||||
\(739\) | 35.4098 | 1.30257 | 0.651286 | − | 0.758833i | \(-0.274230\pi\) | ||||
0.651286 | + | 0.758833i | \(0.274230\pi\) | |||||||
\(740\) | 0.00154997 | − | 0.00130058i | 5.69781e−5 | − | 4.78103e-5i | ||||
\(741\) | 24.6211 | + | 3.16800i | 0.904477 | + | 0.116379i | ||||
\(742\) | 13.6270 | − | 2.75169i | 0.500264 | − | 0.101018i | ||||
\(743\) | 14.2073 | − | 16.9316i | 0.521216 | − | 0.621161i | −0.439652 | − | 0.898168i | \(-0.644898\pi\) |
0.960868 | + | 0.277007i | \(0.0893426\pi\) | |||||||
\(744\) | 25.9847 | + | 3.34346i | 0.952646 | + | 0.122577i | ||||
\(745\) | 0.000509971 | 0 | 8.99217e-5i | 1.86839e−5 | 0 | 3.29448e-6i | ||||
\(746\) | − | 16.1760i | − | 0.592246i | ||||||
\(747\) | 1.53045 | + | 5.58058i | 0.0559961 | + | 0.204183i | ||||
\(748\) | −5.74482 | + | 3.31677i | −0.210051 | + | 0.121273i | ||||
\(749\) | −5.55390 | − | 9.09297i | −0.202935 | − | 0.332250i | ||||
\(750\) | 0.00106637 | + | 0.00474423i | 3.89385e−5 | + | 0.000173235i | ||||
\(751\) | 7.28917 | − | 41.3389i | 0.265985 | − | 1.50848i | −0.500229 | − | 0.865893i | \(-0.666751\pi\) |
0.766214 | − | 0.642585i | \(-0.222138\pi\) | |||||||
\(752\) | −17.8815 | + | 6.50832i | −0.652070 | + | 0.237334i | ||||
\(753\) | 34.6913 | + | 17.9301i | 1.26422 | + | 0.653408i | ||||
\(754\) | 11.3910 | − | 2.00855i | 0.414837 | − | 0.0731470i | ||||
\(755\) | −0.000676743 | 0 | −2.46292e−5 | 0 | ||||||
\(756\) | −0.243536 | + | 24.0660i | −0.00885734 | + | 0.875274i | ||||
\(757\) | 7.91633 | 0.287724 | 0.143862 | − | 0.989598i | \(-0.454048\pi\) | ||||
0.143862 | + | 0.989598i | \(0.454048\pi\) | |||||||
\(758\) | −3.30875 | + | 0.583421i | −0.120179 | + | 0.0211908i | ||||
\(759\) | −0.605786 | − | 12.9999i | −0.0219886 | − | 0.471866i | ||||
\(760\) | −0.00514988 | + | 0.00187440i | −0.000186806 | + | 6.79917e-5i | ||||
\(761\) | −5.73553 | + | 32.5278i | −0.207913 | + | 1.17913i | 0.684877 | + | 0.728659i | \(0.259856\pi\) |
−0.892790 | + | 0.450474i | \(0.851255\pi\) | |||||||
\(762\) | 5.72646 | + | 1.78710i | 0.207448 | + | 0.0647398i | ||||
\(763\) | −0.0768760 | − | 3.10964i | −0.00278310 | − | 0.112576i | ||||
\(764\) | −31.6262 | + | 18.2594i | −1.14420 | + | 0.660602i | ||||
\(765\) | 0.00111003 | 0.000767586i | 4.01331e−5 | 2.77521e-5i | ||||||
\(766\) | − | 0.141783i | − | 0.00512283i | ||||||
\(767\) | 35.8267 | − | 6.31721i | 1.29363 | − | 0.228101i | ||||
\(768\) | −0.287928 | − | 0.689394i | −0.0103897 | − | 0.0248764i | ||||
\(769\) | −19.7511 | + | 23.5384i | −0.712241 | + | 0.848816i | −0.993852 | − | 0.110713i | \(-0.964687\pi\) |
0.281611 | + | 0.959529i | \(0.409131\pi\) | |||||||
\(770\) | 0.00112097 | − | 0.00333401i | 4.03969e−5 | − | 0.000120149i | ||||
\(771\) | 30.8679 | − | 40.4731i | 1.11168 | − | 1.45760i | ||||
\(772\) | −24.5120 | + | 20.5680i | −0.882205 | + | 0.740258i | ||||
\(773\) | 31.5260 | 1.13391 | 0.566956 | − | 0.823748i | \(-0.308121\pi\) | ||||
0.566956 | + | 0.823748i | \(0.308121\pi\) | |||||||
\(774\) | −5.80055 | + | 8.38832i | −0.208496 | + | 0.301512i | ||||
\(775\) | 40.3805i | 1.45051i | ||||||||
\(776\) | −0.584066 | − | 3.31240i | −0.0209668 | − | 0.118908i | ||||
\(777\) | −5.27957 | − | 7.80253i | −0.189403 | − | 0.279914i | ||||
\(778\) | −0.349471 | + | 0.127197i | −0.0125291 | + | 0.00456023i | ||||
\(779\) | −22.7232 | + | 27.0805i | −0.814145 | + | 0.970260i | ||||
\(780\) | 0.00468911 | 0.000218509i | 0.000167897 | 7.82389e-6i | ||||||
\(781\) | −38.8960 | − | 14.1570i | −1.39181 | − | 0.506577i | ||||
\(782\) | −0.316995 | + | 0.549052i | −0.0113357 | + | 0.0196341i | ||||
\(783\) | 29.2443 | − | 32.4837i | 1.04511 | − | 1.16087i | ||||
\(784\) | 17.1617 | + | 5.30183i | 0.612919 | + | 0.189351i | ||||
\(785\) | 0.00416432 | + | 0.00496285i | 0.000148631 | + | 0.000177132i | ||||
\(786\) | −9.54461 | + | 0.444772i | −0.340445 | + | 0.0158645i | ||||
\(787\) | −16.3204 | − | 44.8400i | −0.581760 | − | 1.59837i | −0.785171 | − | 0.619279i | \(-0.787425\pi\) |
0.203411 | − | 0.979093i | \(-0.434797\pi\) | |||||||
\(788\) | 11.5977 | − | 13.8216i | 0.413151 | − | 0.492374i | ||||
\(789\) | 27.7162 | + | 8.64960i | 0.986721 | + | 0.307934i | ||||
\(790\) | 0.000712390 | 0 | 0.000125614i | 2.53457e−5 | 0 | 4.46913e-6i | ||||
\(791\) | −5.82282 | + | 38.5753i | −0.207036 | + | 1.37158i | ||||
\(792\) | −7.03721 | − | 25.6603i | −0.250056 | − | 0.911799i | ||||
\(793\) | 5.00447 | + | 8.66800i | 0.177714 | + | 0.307810i | ||||
\(794\) | 1.45061 | + | 8.22681i | 0.0514802 | + | 0.291959i | ||||
\(795\) | −0.00814718 | − | 0.00621368i | −0.000288951 | − | 0.000220377i | ||||
\(796\) | −6.68976 | − | 18.3800i | −0.237112 | − | 0.651460i | ||||
\(797\) | −29.5128 | − | 24.7642i | −1.04540 | − | 0.877192i | −0.0527949 | − | 0.998605i | \(-0.516813\pi\) |
−0.992602 | + | 0.121413i | \(0.961257\pi\) | |||||||
\(798\) | 2.89835 | + | 11.5523i | 0.102600 | + | 0.408947i | ||||
\(799\) | 5.57608 | + | 2.02953i | 0.197267 | + | 0.0717995i | ||||
\(800\) | 21.7685 | − | 12.5681i | 0.769633 | − | 0.444348i | ||||
\(801\) | −4.05087 | + | 8.82183i | −0.143130 | + | 0.311704i | ||||
\(802\) | −4.61410 | + | 7.99186i | −0.162930 | + | 0.282202i | ||||
\(803\) | −31.9614 | − | 11.6330i | −1.12789 | − | 0.410519i | ||||
\(804\) | −4.37058 | − | 4.74166i | −0.154138 | − | 0.167225i | ||||
\(805\) | 0.000467137 | 0.00231337i | 1.64644e−5 | 8.15356e-5i | ||||||
\(806\) | −10.9366 | − | 1.92842i | −0.385226 | − | 0.0679257i | ||||
\(807\) | 14.5163 | + | 7.50269i | 0.510998 | + | 0.264107i | ||||
\(808\) | 2.72847 | − | 7.49641i | 0.0959873 | − | 0.263723i | ||||
\(809\) | −36.7753 | + | 21.2322i | −1.29295 | + | 0.746486i | −0.979176 | − | 0.203011i | \(-0.934927\pi\) |
−0.313775 | + | 0.949497i | \(0.601594\pi\) | |||||||
\(810\) | −0.00191637 | + | 0.00164671i | −6.73342e−5 | + | 5.78594e-5i | ||||
\(811\) | 22.9043i | 0.804277i | 0.915579 | + | 0.402139i | \(0.131733\pi\) | ||||
−0.915579 | + | 0.402139i | \(0.868267\pi\) | |||||||
\(812\) | −20.3083 | − | 33.2493i | −0.712683 | − | 1.16682i | ||||
\(813\) | 6.79393 | − | 0.316593i | 0.238274 | − | 0.0111034i | ||||
\(814\) | 3.72408 | + | 3.12487i | 0.130529 | + | 0.109527i | ||||
\(815\) | 0.00294830 | + | 0.00247392i | 0.000103275 | + | 8.66577e-5i | ||||
\(816\) | 1.05946 | − | 3.39485i | 0.0370884 | − | 0.118843i | ||||
\(817\) | 12.1186 | − | 33.2955i | 0.423975 | − | 1.16486i | ||||
\(818\) | −4.45012 | − | 7.70784i | −0.155595 | − | 0.269498i | ||||
\(819\) | 1.23828 | − | 21.8215i | 0.0432689 | − | 0.762506i | ||||
\(820\) | −0.00334243 | + | 0.00578925i | −0.000116723 | + | 0.000202169i | ||||
\(821\) | 1.32257 | + | 1.57617i | 0.0461579 | + | 0.0550089i | 0.788629 | − | 0.614869i | \(-0.210791\pi\) |
−0.742472 | + | 0.669878i | \(0.766347\pi\) | |||||||
\(822\) | −3.35076 | − | 8.02282i | −0.116871 | − | 0.279828i | ||||
\(823\) | 0.562875 | − | 3.19222i | 0.0196206 | − | 0.111274i | −0.973425 | − | 0.229008i | \(-0.926452\pi\) |
0.993045 | + | 0.117734i | \(0.0375630\pi\) | |||||||
\(824\) | 28.3018 | − | 10.3010i | 0.985939 | − | 0.358852i | ||||
\(825\) | 37.8427 | − | 15.8051i | 1.31752 | − | 0.550265i | ||||
\(826\) | 9.09815 | + | 14.8957i | 0.316565 | + | 0.518288i | ||||
\(827\) | 47.0423 | + | 27.1599i | 1.63582 | + | 0.944441i | 0.982251 | + | 0.187574i | \(0.0600624\pi\) |
0.653569 | + | 0.756867i | \(0.273271\pi\) | |||||||
\(828\) | 5.92677 | + | 5.85765i | 0.205969 | + | 0.203568i | ||||
\(829\) | −7.34388 | − | 4.23999i | −0.255063 | − | 0.147261i | 0.367017 | − | 0.930214i | \(-0.380379\pi\) |
−0.622081 | + | 0.782953i | \(0.713712\pi\) | |||||||
\(830\) | 0.000348080 | 0 | 0.000414826i | 1.20820e−5 | 0 | 1.43988e-5i | ||||
\(831\) | 11.8378 | − | 37.9321i | 0.410648 | − | 1.31585i | ||||
\(832\) | −2.46906 | − | 6.78368i | −0.0855992 | − | 0.235182i | ||||
\(833\) | −3.03688 | − | 4.70647i | −0.105221 | − | 0.163070i | ||||
\(834\) | −0.302574 | + | 0.194011i | −0.0104773 | + | 0.00671804i | ||||
\(835\) | −0.000452721 | − | 0.00256751i | −1.56671e−5 | − | 8.88523e-5i | ||||
\(836\) | 21.5740 | + | 37.3673i | 0.746153 | + | 1.29237i | ||||
\(837\) | −37.0512 | + | 19.7038i | −1.28068 | + | 0.681064i | ||||
\(838\) | 0.458929 | + | 0.264963i | 0.0158534 | + | 0.00915299i | ||||
\(839\) | −11.5622 | + | 9.70185i | −0.399172 | + | 0.334945i | −0.820173 | − | 0.572115i | \(-0.806123\pi\) |
0.421002 | + | 0.907060i | \(0.361679\pi\) | |||||||
\(840\) | 0.00196909 | + | 0.00440522i | 6.79401e−5 | + | 0.000151995i | ||||
\(841\) | −7.25090 | + | 41.1219i | −0.250031 | + | 1.41800i | ||||
\(842\) | −7.54523 | − | 1.33043i | −0.260026 | − | 0.0458496i | ||||
\(843\) | 0.676221 | + | 3.00846i | 0.0232903 | + | 0.103617i | ||||
\(844\) | −31.8522 | + | 26.7272i | −1.09640 | + | 0.919987i | ||||
\(845\) | 0.00304558 | 0.000104771 | ||||||||
\(846\) | −6.31870 | + | 9.13764i | −0.217241 | + | 0.314158i | ||||
\(847\) | −29.8891 | − | 4.51168i | −1.02700 | − | 0.155023i | ||||
\(848\) | −9.23471 | + | 25.3722i | −0.317121 | + | 0.871284i | ||||
\(849\) | 7.12307 | − | 2.97497i | 0.244463 | − | 0.102101i | ||||
\(850\) | −1.96753 | − | 0.346928i | −0.0674856 | − | 0.0118995i | ||||
\(851\) | −3.21231 | − | 0.566417i | −0.110117 | − | 0.0194165i | ||||
\(852\) | 24.4566 | − | 10.2144i | 0.837868 | − | 0.349938i | ||||
\(853\) | 5.23344 | − | 14.3788i | 0.179190 | − | 0.492319i | −0.817283 | − | 0.576236i | \(-0.804521\pi\) |
0.996473 | + | 0.0839170i | \(0.0267430\pi\) | |||||||
\(854\) | −2.99494 | + | 3.75386i | −0.102485 | + | 0.128455i | ||||
\(855\) | 0.00499278 | − | 0.00722018i | 0.000170749 | − | 0.000246925i | ||||
\(856\) | −7.54264 | −0.257802 | ||||||||
\(857\) | −13.4455 | + | 11.2821i | −0.459289 | + | 0.385389i | −0.842869 | − | 0.538118i | \(-0.819135\pi\) |
0.383580 | + | 0.923507i | \(0.374691\pi\) | |||||||
\(858\) | 2.47342 | + | 11.0041i | 0.0844412 | + | 0.375673i | ||||
\(859\) | −15.6157 | − | 2.75347i | −0.532801 | − | 0.0939472i | −0.0992264 | − | 0.995065i | \(-0.531637\pi\) |
−0.433575 | + | 0.901118i | \(0.642748\pi\) | |||||||
\(860\) | 0.00116348 | − | 0.00659842i | 3.96743e−5 | − | 0.000225004i | ||||
\(861\) | 25.2078 | + | 18.2580i | 0.859079 | + | 0.622231i | ||||
\(862\) | −1.45649 | + | 1.22214i | −0.0496081 | + | 0.0416261i | ||||
\(863\) | −1.76440 | − | 1.01868i | −0.0600610 | − | 0.0346762i | 0.469669 | − | 0.882843i | \(-0.344373\pi\) |
−0.529730 | + | 0.848166i | \(0.677707\pi\) | |||||||
\(864\) | 22.1539 | + | 13.8411i | 0.753690 | + | 0.470884i | ||||
\(865\) | −0.00676353 | − | 0.0117148i | −0.000229967 | − | 0.000398315i | ||||
\(866\) | −2.56031 | − | 14.5202i | −0.0870028 | − | 0.493417i | ||||
\(867\) | 23.8535 | − | 15.2949i | 0.810107 | − | 0.519441i | ||||
\(868\) | 7.40402 | + | 36.6664i | 0.251309 | + | 1.24454i | ||||
\(869\) | −4.17328 | − | 11.4660i | −0.141569 | − | 0.388957i | ||||
\(870\) | 0.00121852 | − | 0.00390454i | 4.13117e−5 | − | 0.000132376i | ||||
\(871\) | 3.76439 | + | 4.48622i | 0.127551 | + | 0.152010i | ||||
\(872\) | −1.90697 | − | 1.10099i | −0.0645783 | − | 0.0372843i | ||||
\(873\) | 3.83186 | + | 3.78717i | 0.129689 | + | 0.128176i | ||||
\(874\) | 3.57132 | + | 2.06190i | 0.120802 | + | 0.0697448i | ||||
\(875\) | −0.0126939 | + | 0.00775331i | −0.000429132 | + | 0.000262110i | ||||
\(876\) | 20.0963 | − | 8.39328i | 0.678991 | − | 0.283583i | ||||
\(877\) | 17.0905 | − | 6.22045i | 0.577106 | − | 0.210050i | −0.0369427 | − | 0.999317i | \(-0.511762\pi\) |
0.614049 | + | 0.789268i | \(0.289540\pi\) | |||||||
\(878\) | 1.43144 | − | 8.11809i | 0.0483087 | − | 0.273972i | ||||
\(879\) | 4.73576 | + | 11.3390i | 0.159733 | + | 0.382454i | ||||
\(880\) | 0.00439119 | + | 0.00523322i | 0.000148027 | + | 0.000176412i | ||||
\(881\) | −13.3725 | + | 23.1618i | −0.450530 | + | 0.780341i | −0.998419 | − | 0.0562101i | \(-0.982098\pi\) |
0.547889 | + | 0.836551i | \(0.315432\pi\) | |||||||
\(882\) | 9.96380 | − | 3.26984i | 0.335499 | − | 0.110101i | ||||
\(883\) | 10.5208 | + | 18.2226i | 0.354054 | + | 0.613240i | 0.986956 | − | 0.160992i | \(-0.0514694\pi\) |
−0.632901 | + | 0.774232i | \(0.718136\pi\) | |||||||
\(884\) | −1.31930 | + | 3.62475i | −0.0443729 | + | 0.121914i | ||||
\(885\) | 0.00383244 | − | 0.0122804i | 0.000128826 | − | 0.000412801i | ||||
\(886\) | 10.6861 | + | 8.96668i | 0.359006 | + | 0.301242i | ||||
\(887\) | −17.0586 | − | 14.3138i | −0.572771 | − | 0.480612i | 0.309793 | − | 0.950804i | \(-0.399740\pi\) |
−0.882564 | + | 0.470192i | \(0.844185\pi\) | |||||||
\(888\) | −6.66183 | + | 0.310437i | −0.223556 | + | 0.0104176i | ||||
\(889\) | 0.453511 | + | 18.3445i | 0.0152103 | + | 0.615256i | ||||
\(890\) | 0 | 0.000908428i | 0 | 3.04506e-5i | ||||||
\(891\) | 32.9676 | + | 27.0105i | 1.10445 | + | 0.904885i | ||||
\(892\) | 36.6404 | − | 21.1543i | 1.22681 | − | 0.708300i | ||||
\(893\) | 13.2011 | − | 36.2697i | 0.441758 | − | 1.21372i | ||||
\(894\) | −0.707732 | − | 0.365788i | −0.0236701 | − | 0.0122338i | ||||
\(895\) | 0.0136576 | + | 0.00240820i | 0.000456523 | + | 8.04973e-5i | ||||
\(896\) | 22.5466 | − | 19.8888i | 0.753230 | − | 0.664439i | ||||
\(897\) | −5.12892 | − | 5.56439i | −0.171250 | − | 0.185790i | ||||
\(898\) | 10.9046 | + | 3.96896i | 0.363892 | + | 0.132446i | ||||
\(899\) | 33.9668 | − | 58.8322i | 1.13286 | − | 1.96216i | ||||
\(900\) | −10.9580 | + | 23.8639i | −0.365267 | + | 0.795464i | ||||
\(901\) | 7.29169 | − | 4.20986i | 0.242922 | − | 0.140251i | ||||
\(902\) | −15.0929 | − | 5.49336i | −0.502538 | − | 0.182909i | ||||
\(903\) | −30.0009 | − | 8.55494i | −0.998368 | − | 0.284691i | ||||
\(904\) | 21.1557 | + | 17.7517i | 0.703627 | + | 0.590414i | ||||
\(905\) | −0.00172835 | − | 0.00474860i | −5.74522e−5 | − | 0.000157849i | ||||
\(906\) | 0.827847 | + | 0.631381i | 0.0275034 | + | 0.0209762i | ||||
\(907\) | 0.624448 | + | 3.54142i | 0.0207345 | + | 0.117591i | 0.993418 | − | 0.114543i | \(-0.0365404\pi\) |
−0.972684 | + | 0.232134i | \(0.925429\pi\) | |||||||
\(908\) | −3.74506 | − | 6.48664i | −0.124284 | − | 0.215267i | ||||
\(909\) | 3.37956 | + | 12.3231i | 0.112093 | + | 0.408733i | ||||
\(910\) | −0.000746842 | − | 0.00190413i | −2.47576e−5 | − | 6.31214e-5i | ||||
\(911\) | −51.8774 | + | 9.14738i | −1.71877 | + | 0.303066i | −0.944189 | − | 0.329403i | \(-0.893152\pi\) |
−0.774585 | + | 0.632470i | \(0.782041\pi\) | |||||||
\(912\) | −22.0818 | − | 6.89125i | −0.731203 | − | 0.228192i | ||||
\(913\) | 5.87135 | − | 6.99721i | 0.194313 | − | 0.231574i | ||||
\(914\) | 3.09562 | + | 8.50515i | 0.102394 | + | 0.281326i | ||||
\(915\) | 0.00353554 | 0.000164754i | 0.000116881 | 5.44660e-6i | ||||||
\(916\) | −14.5773 | − | 17.3725i | −0.481647 | − | 0.574005i | ||||
\(917\) | −10.6724 | − | 27.2100i | −0.352432 | − | 0.898555i | ||||
\(918\) | −0.641738 | − | 1.97459i | −0.0211805 | − | 0.0651713i | ||||
\(919\) | −27.2723 | + | 47.2370i | −0.899629 | + | 1.55820i | −0.0716603 | + | 0.997429i | \(0.522830\pi\) |
−0.827969 | + | 0.560774i | \(0.810504\pi\) | |||||||
\(920\) | 0.00156994 | 0.000571410i | 5.17592e−5 | 1.88388e-5i | ||||||
\(921\) | 12.4000 | − | 0.577831i | 0.408593 | − | 0.0190402i | ||||
\(922\) | −0.327073 | + | 0.389790i | −0.0107716 | + | 0.0128371i | ||||
\(923\) | −22.6179 | + | 8.23224i | −0.744477 | + | 0.270968i | ||||
\(924\) | 31.4641 | − | 21.2901i | 1.03509 | − | 0.700394i | ||||
\(925\) | −1.78494 | − | 10.1229i | −0.0586884 | − | 0.332838i | ||||
\(926\) | − | 17.1535i | − | 0.563700i | ||||||
\(927\) | −27.4384 | + | 39.6794i | −0.901195 | + | 1.30324i | ||||
\(928\) | −42.2874 | −1.38815 | ||||||||
\(929\) | −32.1029 | + | 26.9376i | −1.05326 | + | 0.883793i | −0.993433 | − | 0.114416i | \(-0.963500\pi\) |
−0.0598303 | + | 0.998209i | \(0.519056\pi\) | |||||||
\(930\) | −0.00238151 | + | 0.00312256i | −7.80928e−5 | + | 0.000102393i | ||||
\(931\) | −30.6133 | + | 19.7534i | −1.00331 | + | 0.647392i | ||||
\(932\) | 12.6086 | − | 15.0264i | 0.413010 | − | 0.492206i | ||||
\(933\) | −15.5189 | − | 37.1573i | −0.508065 | − | 1.21647i | ||||
\(934\) | −0.700821 | + | 0.123574i | −0.0229316 | + | 0.00404345i | ||||
\(935\) | − | 0.00213030i | − | 6.96683e-5i | ||||||
\(936\) | −12.7260 | − | 8.80008i | −0.415963 | − | 0.287639i | ||||
\(937\) | −24.5420 | + | 14.1693i | −0.801751 | + | 0.462891i | −0.844083 | − | 0.536212i | \(-0.819855\pi\) |
0.0423320 | + | 0.999104i | \(0.486521\pi\) | |||||||
\(938\) | −1.34434 | + | 2.46735i | −0.0438943 | + | 0.0805619i | ||||
\(939\) | −39.4944 | − | 12.3253i | −1.28885 | − | 0.402222i | ||||
\(940\) | 0.00126741 | − | 0.00718785i | 4.13384e−5 | − | 0.000234442i | ||||
\(941\) | −15.2577 | + | 5.55334i | −0.497386 | + | 0.181034i | −0.578518 | − | 0.815670i | \(-0.696369\pi\) |
0.0811321 | + | 0.996703i | \(0.474146\pi\) | |||||||
\(942\) | −0.463949 | − | 9.95614i | −0.0151163 | − | 0.324389i | ||||
\(943\) | 10.6130 | − | 1.87136i | 0.345608 | − | 0.0609399i | ||||
\(944\) | −33.8999 | −1.10335 | ||||||||
\(945\) | −0.00665405 | − | 0.00393203i | −0.000216456 | − | 0.000127909i | ||||
\(946\) | 16.0984 | 0.523405 | ||||||||
\(947\) | 9.66361 | − | 1.70396i | 0.314025 | − | 0.0553711i | −0.0144143 | − | 0.999896i | \(-0.504588\pi\) |
0.328440 | + | 0.944525i | \(0.393477\pi\) | |||||||
\(948\) | 6.94073 | + | 3.58729i | 0.225424 | + | 0.116510i | ||||
\(949\) | −18.5854 | + | 6.76454i | −0.603308 | + | 0.219586i | ||||
\(950\) | −2.25660 | + | 12.7978i | −0.0732138 | + | 0.415216i | ||||
\(951\) | −10.9099 | − | 48.5374i | −0.353778 | − | 1.57393i | ||||
\(952\) | −3.96388 | + | 0.0979946i | −0.128470 | + | 0.00317602i | ||||
\(953\) | −34.8176 | + | 20.1019i | −1.12785 | + | 0.651166i | −0.943394 | − | 0.331675i | \(-0.892386\pi\) |
−0.184458 | + | 0.982840i | \(0.559053\pi\) | |||||||
\(954\) | 4.16911 | + | 15.2022i | 0.134980 | + | 0.492188i | ||||
\(955\) | − | 0.0117277i | − | 0.000379499i | ||||||
\(956\) | −21.6218 | + | 3.81251i | −0.699300 | + | 0.123305i | ||||
\(957\) | −68.4296 | − | 8.80486i | −2.21201 | − | 0.284621i | ||||
\(958\) | 11.4888 | − | 13.6919i | 0.371188 | − | 0.442364i | ||||
\(959\) | 19.9449 | − | 17.5938i | 0.644054 | − | 0.568133i | ||||
\(960\) | −0.00253194 | 0.000325785i | −8.17179e−5 | 1.05147e-5i | ||||||
\(961\) | −26.2167 | + | 21.9984i | −0.845701 | + | 0.709627i | ||||
\(962\) | 2.82691 | 0.0911432 | ||||||||
\(963\) | 9.85584 | − | 6.98763i | 0.317600 | − | 0.225173i | ||||
\(964\) | − | 35.1435i | − | 1.13190i | ||||||
\(965\) | −0.00178439 | − | 0.0101198i | −5.74415e−5 | − | 0.000325767i | ||||
\(966\) | 1.58687 | − | 3.26573i | 0.0510566 | − | 0.105073i | ||||
\(967\) | −6.39685 | + | 2.32826i | −0.205709 | + | 0.0748719i | −0.442820 | − | 0.896611i | \(-0.646022\pi\) |
0.237111 | + | 0.971483i | \(0.423800\pi\) | |||||||
\(968\) | −13.7545 | + | 16.3920i | −0.442087 | + | 0.526859i | ||||
\(969\) | 3.89360 | + | 6.07236i | 0.125081 | + | 0.195072i | ||||
\(970\) | 0.000473766 | 0 | 0.000172437i | 1.52117e−5 | 0 | 5.53661e-6i | ||||
\(971\) | −14.6415 | + | 25.3599i | −0.469869 | + | 0.813836i | −0.999406 | − | 0.0344500i | \(-0.989032\pi\) |
0.529538 | + | 0.848286i | \(0.322365\pi\) | |||||||
\(972\) | −27.2434 | + | 1.58996i | −0.873832 | + | 0.0509980i | ||||
\(973\) | −0.859463 | − | 0.685703i | −0.0275531 | − | 0.0219826i | ||||
\(974\) | −11.2124 | − | 13.3624i | −0.359269 | − | 0.428160i | ||||
\(975\) | 10.9495 | − | 21.1852i | 0.350665 | − | 0.678471i | ||||
\(976\) | −3.18995 | − | 8.76432i | −0.102108 | − | 0.280539i | ||||
\(977\) | −5.03211 | + | 5.99703i | −0.160991 | + | 0.191862i | −0.840510 | − | 0.541796i | \(-0.817744\pi\) |
0.679518 | + | 0.733659i | \(0.262189\pi\) | |||||||
\(978\) | −1.29851 | − | 5.77698i | −0.0415218 | − | 0.184727i | ||||
\(979\) | 15.0904 | − | 2.66085i | 0.482291 | − | 0.0850410i | ||||
\(980\) | −0.00505236 | + | 0.00468384i | −0.000161392 | + | 0.000149620i | ||||
\(981\) | 3.51179 | − | 0.328006i | 0.112123 | − | 0.0104724i | ||||
\(982\) | −2.71764 | − | 4.70709i | −0.0867233 | − | 0.150209i | ||||
\(983\) | −1.04697 | − | 5.93768i | −0.0333932 | − | 0.189382i | 0.963548 | − | 0.267535i | \(-0.0862090\pi\) |
−0.996941 | + | 0.0781524i | \(0.975098\pi\) | |||||||
\(984\) | 20.3316 | − | 8.49156i | 0.648148 | − | 0.270701i | ||||
\(985\) | 0.00198176 | + | 0.00544485i | 6.31442e−5 | + | 0.000173487i | ||||
\(986\) | 2.57475 | + | 2.16048i | 0.0819969 | + | 0.0688036i | ||||
\(987\) | −32.6809 | − | 9.31914i | −1.04024 | − | 0.296632i | ||||
\(988\) | 23.5773 | + | 8.58143i | 0.750093 | + | 0.273012i | ||||
\(989\) | −9.35438 | + | 5.40075i | −0.297452 | + | 0.171734i | ||||
\(990\) | 0.00385845 | + | 0.00100965i | 0.000122630 | + | 3.20889e-5i | ||||
\(991\) | −11.3468 | + | 19.6532i | −0.360442 | + | 0.624304i | −0.988034 | − | 0.154239i | \(-0.950707\pi\) |
0.627592 | + | 0.778543i | \(0.284041\pi\) | |||||||
\(992\) | 38.1519 | + | 13.8861i | 1.21132 | + | 0.440886i | ||||
\(993\) | −43.9431 | + | 9.87723i | −1.39449 | + | 0.313444i | ||||
\(994\) | −7.63947 | − | 8.66035i | −0.242309 | − | 0.274690i | ||||
\(995\) | 0.00618594 | + | 0.00109075i | 0.000196107 | + | 3.45790e-5i | ||||
\(996\) | 0.272251 | + | 5.84238i | 0.00862661 | + | 0.185123i | ||||
\(997\) | 3.33531 | − | 9.16369i | 0.105630 | − | 0.290217i | −0.875606 | − | 0.483026i | \(-0.839538\pi\) |
0.981236 | + | 0.192809i | \(0.0617598\pi\) | |||||||
\(998\) | −2.74449 | + | 1.58453i | −0.0868752 | + | 0.0501574i | ||||
\(999\) | 8.41730 | − | 6.57727i | 0.266312 | − | 0.208096i |
(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 | 189.2.ba.a.5.14 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.ba.a.530.9 | 132 | |||
7.3 | odd | 6 | 189.2.bd.a.59.9 | yes | 132 | ||
21.17 | even | 6 | 567.2.bd.a.206.14 | 132 | |||
27.11 | odd | 18 | 189.2.bd.a.173.9 | yes | 132 | ||
27.16 | even | 9 | 567.2.bd.a.278.14 | 132 | |||
189.38 | even | 18 | inner | 189.2.ba.a.38.14 | yes | 132 | |
189.178 | odd | 18 | 567.2.ba.a.521.9 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.5.14 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.ba.a.38.14 | yes | 132 | 189.38 | even | 18 | inner | |
189.2.bd.a.59.9 | yes | 132 | 7.3 | odd | 6 | ||
189.2.bd.a.173.9 | yes | 132 | 27.11 | odd | 18 | ||
567.2.ba.a.521.9 | 132 | 189.178 | odd | 18 | |||
567.2.ba.a.530.9 | 132 | 3.2 | odd | 2 | |||
567.2.bd.a.206.14 | 132 | 21.17 | even | 6 | |||
567.2.bd.a.278.14 | 132 | 27.16 | even | 9 |