Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(463,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.463");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.j (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(70\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 463.5 | ||
Character | \(\chi\) | \(=\) | 572.463 |
Dual form | 572.2.j.a.551.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37854 | + | 0.315622i | −0.974778 | + | 0.223179i | ||||
\(3\) | − | 0.826677i | − | 0.477282i | −0.971108 | − | 0.238641i | \(-0.923298\pi\) | ||
0.971108 | − | 0.238641i | \(-0.0767019\pi\) | |||||||
\(4\) | 1.80077 | − | 0.870198i | 0.900383 | − | 0.435099i | ||||
\(5\) | 1.70772 | + | 1.70772i | 0.763717 | + | 0.763717i | 0.976992 | − | 0.213275i | \(-0.0684130\pi\) |
−0.213275 | + | 0.976992i | \(0.568413\pi\) | |||||||
\(6\) | 0.260917 | + | 1.13961i | 0.106519 | + | 0.465244i | ||||
\(7\) | 0.257567 | + | 0.257567i | 0.0973511 | + | 0.0973511i | 0.754105 | − | 0.656754i | \(-0.228071\pi\) |
−0.656754 | + | 0.754105i | \(0.728071\pi\) | |||||||
\(8\) | −2.20778 | + | 1.76797i | −0.780568 | + | 0.625071i | ||||
\(9\) | 2.31661 | 0.772202 | ||||||||
\(10\) | −2.89317 | − | 1.81518i | −0.914900 | − | 0.574009i | ||||
\(11\) | 0.707107 | + | 0.707107i | 0.213201 | + | 0.213201i | ||||
\(12\) | −0.719372 | − | 1.48865i | −0.207665 | − | 0.429736i | ||||
\(13\) | −0.370828 | + | 3.58643i | −0.102849 | + | 0.994697i | ||||
\(14\) | −0.436361 | − | 0.273773i | −0.116622 | − | 0.0731690i | ||||
\(15\) | 1.41174 | − | 1.41174i | 0.364508 | − | 0.364508i | ||||
\(16\) | 2.48551 | − | 3.13404i | 0.621378 | − | 0.783511i | ||||
\(17\) | 4.38538i | 1.06361i | 0.846866 | + | 0.531806i | \(0.178486\pi\) | ||||
−0.846866 | + | 0.531806i | \(0.821514\pi\) | |||||||
\(18\) | −3.19354 | + | 0.731172i | −0.752725 | + | 0.172339i | ||||
\(19\) | −0.588032 | + | 0.588032i | −0.134904 | + | 0.134904i | −0.771334 | − | 0.636430i | \(-0.780410\pi\) |
0.636430 | + | 0.771334i | \(0.280410\pi\) | |||||||
\(20\) | 4.56127 | + | 1.58915i | 1.01993 | + | 0.355345i | ||||
\(21\) | 0.212924 | − | 0.212924i | 0.0464639 | − | 0.0464639i | ||||
\(22\) | −1.19796 | − | 0.751599i | −0.255405 | − | 0.160241i | ||||
\(23\) | −5.90023 | −1.23028 | −0.615142 | − | 0.788417i | \(-0.710901\pi\) | ||||
−0.615142 | + | 0.788417i | \(0.710901\pi\) | |||||||
\(24\) | 1.46154 | + | 1.82512i | 0.298335 | + | 0.372551i | ||||
\(25\) | 0.832640i | 0.166528i | ||||||||
\(26\) | −0.620755 | − | 5.06109i | −0.121740 | − | 0.992562i | ||||
\(27\) | − | 4.39511i | − | 0.845840i | ||||||
\(28\) | 0.687951 | + | 0.239683i | 0.130011 | + | 0.0452959i | ||||
\(29\) | 0.751951 | 0.139634 | 0.0698169 | − | 0.997560i | \(-0.477758\pi\) | ||||
0.0698169 | + | 0.997560i | \(0.477758\pi\) | |||||||
\(30\) | −1.50056 | + | 2.39171i | −0.273964 | + | 0.436665i | ||||
\(31\) | −1.32796 | + | 1.32796i | −0.238509 | + | 0.238509i | −0.816232 | − | 0.577724i | \(-0.803941\pi\) |
0.577724 | + | 0.816232i | \(0.303941\pi\) | |||||||
\(32\) | −2.43721 | + | 5.10490i | −0.430842 | + | 0.902427i | ||||
\(33\) | 0.584549 | − | 0.584549i | 0.101757 | − | 0.101757i | ||||
\(34\) | −1.38412 | − | 6.04544i | −0.237375 | − | 1.03678i | ||||
\(35\) | 0.879706i | 0.148697i | ||||||||
\(36\) | 4.17166 | − | 2.01591i | 0.695277 | − | 0.335984i | ||||
\(37\) | 2.95388 | − | 2.95388i | 0.485616 | − | 0.485616i | −0.421304 | − | 0.906920i | \(-0.638427\pi\) |
0.906920 | + | 0.421304i | \(0.138427\pi\) | |||||||
\(38\) | 0.625032 | − | 0.996224i | 0.101394 | − | 0.161609i | ||||
\(39\) | 2.96482 | + | 0.306555i | 0.474751 | + | 0.0490880i | ||||
\(40\) | −6.78948 | − | 0.751079i | −1.07351 | − | 0.118756i | ||||
\(41\) | 6.76783 | + | 6.76783i | 1.05696 | + | 1.05696i | 0.998277 | + | 0.0586802i | \(0.0186892\pi\) |
0.0586802 | + | 0.998277i | \(0.481311\pi\) | |||||||
\(42\) | −0.226322 | + | 0.360729i | −0.0349222 | + | 0.0556618i | ||||
\(43\) | 2.60495 | 0.397251 | 0.198626 | − | 0.980075i | \(-0.436352\pi\) | ||||
0.198626 | + | 0.980075i | \(0.436352\pi\) | |||||||
\(44\) | 1.88866 | + | 0.658011i | 0.284726 | + | 0.0991988i | ||||
\(45\) | 3.95612 | + | 3.95612i | 0.589744 | + | 0.589744i | ||||
\(46\) | 8.13373 | − | 1.86224i | 1.19925 | − | 0.274573i | ||||
\(47\) | 2.12715 | + | 2.12715i | 0.310277 | + | 0.310277i | 0.845017 | − | 0.534740i | \(-0.179590\pi\) |
−0.534740 | + | 0.845017i | \(0.679590\pi\) | |||||||
\(48\) | −2.59084 | − | 2.05471i | −0.373956 | − | 0.296572i | ||||
\(49\) | − | 6.86732i | − | 0.981046i | ||||||
\(50\) | −0.262799 | − | 1.14783i | −0.0371655 | − | 0.162328i | ||||
\(51\) | 3.62529 | 0.507643 | ||||||||
\(52\) | 2.45313 | + | 6.78101i | 0.340188 | + | 0.940357i | ||||
\(53\) | −3.28648 | −0.451432 | −0.225716 | − | 0.974193i | \(-0.572472\pi\) | ||||
−0.225716 | + | 0.974193i | \(0.572472\pi\) | |||||||
\(54\) | 1.38720 | + | 6.05886i | 0.188773 | + | 0.824506i | ||||
\(55\) | 2.41509i | 0.325650i | ||||||||
\(56\) | −1.02402 | − | 0.113281i | −0.136840 | − | 0.0151378i | ||||
\(57\) | 0.486112 | + | 0.486112i | 0.0643872 | + | 0.0643872i | ||||
\(58\) | −1.03660 | + | 0.237333i | −0.136112 | + | 0.0311633i | ||||
\(59\) | 10.4860 | + | 10.4860i | 1.36517 | + | 1.36517i | 0.867192 | + | 0.497974i | \(0.165923\pi\) |
0.497974 | + | 0.867192i | \(0.334077\pi\) | |||||||
\(60\) | 1.31371 | − | 3.77069i | 0.169600 | − | 0.486794i | ||||
\(61\) | 1.89945 | 0.243199 | 0.121600 | − | 0.992579i | \(-0.461198\pi\) | ||||
0.121600 | + | 0.992579i | \(0.461198\pi\) | |||||||
\(62\) | 1.41152 | − | 2.24978i | 0.179263 | − | 0.285723i | ||||
\(63\) | 0.596681 | + | 0.596681i | 0.0751747 | + | 0.0751747i | ||||
\(64\) | 1.74859 | − | 7.80656i | 0.218573 | − | 0.975821i | ||||
\(65\) | −6.75790 | + | 5.49136i | −0.838215 | + | 0.681120i | ||||
\(66\) | −0.621329 | + | 0.990322i | −0.0764804 | + | 0.121900i | ||||
\(67\) | 0.782852 | − | 0.782852i | 0.0956406 | − | 0.0956406i | −0.657668 | − | 0.753308i | \(-0.728457\pi\) |
0.753308 | + | 0.657668i | \(0.228457\pi\) | |||||||
\(68\) | 3.81615 | + | 7.89705i | 0.462776 | + | 0.957657i | ||||
\(69\) | 4.87758i | 0.587192i | ||||||||
\(70\) | −0.277655 | − | 1.21271i | −0.0331861 | − | 0.144947i | ||||
\(71\) | −2.27902 | + | 2.27902i | −0.270470 | + | 0.270470i | −0.829289 | − | 0.558819i | \(-0.811255\pi\) |
0.558819 | + | 0.829289i | \(0.311255\pi\) | |||||||
\(72\) | −5.11456 | + | 4.09568i | −0.602756 | + | 0.482681i | ||||
\(73\) | −4.45051 | + | 4.45051i | −0.520892 | + | 0.520892i | −0.917841 | − | 0.396949i | \(-0.870069\pi\) |
0.396949 | + | 0.917841i | \(0.370069\pi\) | |||||||
\(74\) | −3.13975 | + | 5.00437i | −0.364988 | + | 0.581746i | ||||
\(75\) | 0.688324 | 0.0794808 | ||||||||
\(76\) | −0.547204 | + | 1.57061i | −0.0627685 | + | 0.180162i | ||||
\(77\) | 0.364254i | 0.0415107i | ||||||||
\(78\) | −4.18389 | + | 0.513164i | −0.473732 | + | 0.0581043i | ||||
\(79\) | − | 7.79519i | − | 0.877027i | −0.898725 | − | 0.438514i | \(-0.855505\pi\) | ||
0.898725 | − | 0.438514i | \(-0.144495\pi\) | |||||||
\(80\) | 9.59665 | − | 1.10751i | 1.07294 | − | 0.123824i | ||||
\(81\) | 3.31648 | 0.368498 | ||||||||
\(82\) | −11.4658 | − | 7.19367i | −1.26619 | − | 0.794408i | ||||
\(83\) | 10.2916 | − | 10.2916i | 1.12965 | − | 1.12965i | 0.139416 | − | 0.990234i | \(-0.455477\pi\) |
0.990234 | − | 0.139416i | \(-0.0445225\pi\) | |||||||
\(84\) | 0.198141 | − | 0.568713i | 0.0216189 | − | 0.0620517i | ||||
\(85\) | −7.48902 | + | 7.48902i | −0.812298 | + | 0.812298i | ||||
\(86\) | −3.59104 | + | 0.822180i | −0.387232 | + | 0.0886579i | ||||
\(87\) | − | 0.621621i | − | 0.0666447i | ||||||
\(88\) | −2.81128 | − | 0.310995i | −0.299683 | − | 0.0331522i | ||||
\(89\) | 0.998182 | − | 0.998182i | 0.105807 | − | 0.105807i | −0.652221 | − | 0.758029i | \(-0.726163\pi\) |
0.758029 | + | 0.652221i | \(0.226163\pi\) | |||||||
\(90\) | −6.70233 | − | 4.20505i | −0.706487 | − | 0.443251i | ||||
\(91\) | −1.01926 | + | 0.828233i | −0.106847 | + | 0.0868224i | ||||
\(92\) | −10.6249 | + | 5.13437i | −1.10773 | + | 0.535295i | ||||
\(93\) | 1.09779 | + | 1.09779i | 0.113836 | + | 0.113836i | ||||
\(94\) | −3.60375 | − | 2.26100i | −0.371698 | − | 0.233204i | ||||
\(95\) | −2.00839 | −0.206057 | ||||||||
\(96\) | 4.22010 | + | 2.01479i | 0.430712 | + | 0.205633i | ||||
\(97\) | 0.719603 | + | 0.719603i | 0.0730646 | + | 0.0730646i | 0.742695 | − | 0.669630i | \(-0.233547\pi\) |
−0.669630 | + | 0.742695i | \(0.733547\pi\) | |||||||
\(98\) | 2.16748 | + | 9.46690i | 0.218948 | + | 0.956301i | ||||
\(99\) | 1.63809 | + | 1.63809i | 0.164634 | + | 0.164634i | ||||
\(100\) | 0.724561 | + | 1.49939i | 0.0724561 | + | 0.149939i | ||||
\(101\) | − | 12.2972i | − | 1.22361i | −0.791008 | − | 0.611806i | \(-0.790443\pi\) | ||
0.791008 | − | 0.611806i | \(-0.209557\pi\) | |||||||
\(102\) | −4.99763 | + | 1.14422i | −0.494839 | + | 0.113295i | ||||
\(103\) | 4.86702 | 0.479561 | 0.239781 | − | 0.970827i | \(-0.422924\pi\) | ||||
0.239781 | + | 0.970827i | \(0.422924\pi\) | |||||||
\(104\) | −5.52199 | − | 8.57366i | −0.541475 | − | 0.840717i | ||||
\(105\) | 0.727232 | 0.0709706 | ||||||||
\(106\) | 4.53055 | − | 1.03729i | 0.440046 | − | 0.100750i | ||||
\(107\) | 10.3801i | 1.00348i | 0.865018 | + | 0.501740i | \(0.167307\pi\) | ||||
−0.865018 | + | 0.501740i | \(0.832693\pi\) | |||||||
\(108\) | −3.82462 | − | 7.91457i | −0.368024 | − | 0.761580i | ||||
\(109\) | −13.5210 | − | 13.5210i | −1.29508 | − | 1.29508i | −0.931606 | − | 0.363469i | \(-0.881592\pi\) |
−0.363469 | − | 0.931606i | \(-0.618408\pi\) | |||||||
\(110\) | −0.762255 | − | 3.32930i | −0.0726781 | − | 0.317436i | ||||
\(111\) | −2.44191 | − | 2.44191i | −0.231776 | − | 0.231776i | ||||
\(112\) | 1.44741 | − | 0.167040i | 0.136767 | − | 0.0157838i | ||||
\(113\) | −2.42640 | −0.228257 | −0.114128 | − | 0.993466i | \(-0.536408\pi\) | ||||
−0.114128 | + | 0.993466i | \(0.536408\pi\) | |||||||
\(114\) | −0.823555 | − | 0.516699i | −0.0771330 | − | 0.0483933i | ||||
\(115\) | −10.0760 | − | 10.0760i | −0.939588 | − | 0.939588i | ||||
\(116\) | 1.35409 | − | 0.654347i | 0.125724 | − | 0.0607545i | ||||
\(117\) | −0.859061 | + | 8.30835i | −0.0794203 | + | 0.768107i | ||||
\(118\) | −17.7651 | − | 11.1458i | −1.63541 | − | 1.02606i | ||||
\(119\) | −1.12953 | + | 1.12953i | −0.103544 | + | 0.103544i | ||||
\(120\) | −0.620899 | + | 5.61270i | −0.0566801 | + | 0.512367i | ||||
\(121\) | 1.00000i | 0.0909091i | ||||||||
\(122\) | −2.61847 | + | 0.599508i | −0.237065 | + | 0.0542769i | ||||
\(123\) | 5.59480 | − | 5.59480i | 0.504467 | − | 0.504467i | ||||
\(124\) | −1.23576 | + | 3.54693i | −0.110974 | + | 0.318524i | ||||
\(125\) | 7.11670 | − | 7.11670i | 0.636537 | − | 0.636537i | ||||
\(126\) | −1.01088 | − | 0.634225i | −0.0900560 | − | 0.0565012i | ||||
\(127\) | −12.2990 | −1.09136 | −0.545679 | − | 0.837995i | \(-0.683728\pi\) | ||||
−0.545679 | + | 0.837995i | \(0.683728\pi\) | |||||||
\(128\) | 0.0534235 | + | 11.3136i | 0.00472202 | + | 0.999989i | ||||
\(129\) | − | 2.15345i | − | 0.189601i | ||||||
\(130\) | 7.58287 | − | 9.70303i | 0.665062 | − | 0.851012i | ||||
\(131\) | − | 6.33859i | − | 0.553805i | −0.960898 | − | 0.276902i | \(-0.910692\pi\) | ||
0.960898 | − | 0.276902i | \(-0.0893079\pi\) | |||||||
\(132\) | 0.543962 | − | 1.56131i | 0.0473458 | − | 0.135894i | ||||
\(133\) | −0.302915 | −0.0262661 | ||||||||
\(134\) | −0.832111 | + | 1.32628i | −0.0718834 | + | 0.114573i | ||||
\(135\) | 7.50564 | − | 7.50564i | 0.645983 | − | 0.645983i | ||||
\(136\) | −7.75321 | − | 9.68196i | −0.664832 | − | 0.830221i | ||||
\(137\) | 8.88613 | − | 8.88613i | 0.759193 | − | 0.759193i | −0.216982 | − | 0.976176i | \(-0.569621\pi\) |
0.976176 | + | 0.216982i | \(0.0696214\pi\) | |||||||
\(138\) | −1.53947 | − | 6.72396i | −0.131049 | − | 0.572382i | ||||
\(139\) | − | 19.0596i | − | 1.61662i | −0.588759 | − | 0.808309i | \(-0.700383\pi\) | ||
0.588759 | − | 0.808309i | \(-0.299617\pi\) | |||||||
\(140\) | 0.765518 | + | 1.58414i | 0.0646981 | + | 0.133885i | ||||
\(141\) | 1.75847 | − | 1.75847i | 0.148090 | − | 0.148090i | ||||
\(142\) | 2.42242 | − | 3.86104i | 0.203285 | − | 0.324012i | ||||
\(143\) | −2.79820 | + | 2.27377i | −0.233998 | + | 0.190143i | ||||
\(144\) | 5.75795 | − | 7.26034i | 0.479829 | − | 0.605029i | ||||
\(145\) | 1.28413 | + | 1.28413i | 0.106641 | + | 0.106641i | ||||
\(146\) | 4.73054 | − | 7.53989i | 0.391502 | − | 0.624006i | ||||
\(147\) | −5.67705 | −0.468235 | ||||||||
\(148\) | 2.74879 | − | 7.88972i | 0.225949 | − | 0.648531i | ||||
\(149\) | −5.88966 | − | 5.88966i | −0.482500 | − | 0.482500i | 0.423429 | − | 0.905929i | \(-0.360826\pi\) |
−0.905929 | + | 0.423429i | \(0.860826\pi\) | |||||||
\(150\) | −0.948884 | + | 0.217250i | −0.0774761 | + | 0.0177384i | ||||
\(151\) | 3.36450 | + | 3.36450i | 0.273799 | + | 0.273799i | 0.830627 | − | 0.556829i | \(-0.187982\pi\) |
−0.556829 | + | 0.830627i | \(0.687982\pi\) | |||||||
\(152\) | 0.258624 | − | 2.33787i | 0.0209772 | − | 0.189626i | ||||
\(153\) | 10.1592i | 0.821323i | ||||||||
\(154\) | −0.114967 | − | 0.502141i | −0.00926429 | − | 0.0404637i | ||||
\(155\) | −4.53558 | −0.364306 | ||||||||
\(156\) | 5.60571 | − | 2.02795i | 0.448816 | − | 0.162366i | ||||
\(157\) | −14.0434 | −1.12078 | −0.560392 | − | 0.828228i | \(-0.689349\pi\) | ||||
−0.560392 | + | 0.828228i | \(0.689349\pi\) | |||||||
\(158\) | 2.46033 | + | 10.7460i | 0.195734 | + | 0.854906i | ||||
\(159\) | 2.71685i | 0.215461i | ||||||||
\(160\) | −12.8798 | + | 4.55567i | −1.01824 | + | 0.360157i | ||||
\(161\) | −1.51970 | − | 1.51970i | −0.119769 | − | 0.119769i | ||||
\(162\) | −4.57191 | + | 1.04675i | −0.359203 | + | 0.0822408i | ||||
\(163\) | 5.42150 | + | 5.42150i | 0.424645 | + | 0.424645i | 0.886799 | − | 0.462155i | \(-0.152923\pi\) |
−0.462155 | + | 0.886799i | \(0.652923\pi\) | |||||||
\(164\) | 18.0766 | + | 6.29792i | 1.41155 | + | 0.491785i | ||||
\(165\) | 1.99650 | 0.155427 | ||||||||
\(166\) | −10.9392 | + | 17.4357i | −0.849044 | + | 1.35327i | ||||
\(167\) | −11.9249 | − | 11.9249i | −0.922777 | − | 0.922777i | 0.0744483 | − | 0.997225i | \(-0.476280\pi\) |
−0.997225 | + | 0.0744483i | \(0.976280\pi\) | |||||||
\(168\) | −0.0936469 | + | 0.846534i | −0.00722502 | + | 0.0653115i | ||||
\(169\) | −12.7250 | − | 2.65990i | −0.978844 | − | 0.204607i | ||||
\(170\) | 7.96024 | − | 12.6876i | 0.610523 | − | 0.973098i | ||||
\(171\) | −1.36224 | + | 1.36224i | −0.104173 | + | 0.104173i | ||||
\(172\) | 4.69090 | − | 2.26682i | 0.357678 | − | 0.172844i | ||||
\(173\) | 14.4297i | 1.09707i | 0.836127 | + | 0.548535i | \(0.184814\pi\) | ||||
−0.836127 | + | 0.548535i | \(0.815186\pi\) | |||||||
\(174\) | 0.196197 | + | 0.856931i | 0.0148737 | + | 0.0649638i | ||||
\(175\) | −0.214460 | + | 0.214460i | −0.0162117 | + | 0.0162117i | ||||
\(176\) | 3.97363 | − | 0.458582i | 0.299523 | − | 0.0345669i | ||||
\(177\) | 8.66856 | − | 8.66856i | 0.651569 | − | 0.651569i | ||||
\(178\) | −1.06099 | + | 1.69109i | −0.0795245 | + | 0.126752i | ||||
\(179\) | −12.6390 | −0.944687 | −0.472343 | − | 0.881415i | \(-0.656592\pi\) | ||||
−0.472343 | + | 0.881415i | \(0.656592\pi\) | |||||||
\(180\) | 10.5667 | + | 3.68144i | 0.787592 | + | 0.274398i | ||||
\(181\) | − | 12.0337i | − | 0.894461i | −0.894419 | − | 0.447230i | \(-0.852410\pi\) | ||
0.894419 | − | 0.447230i | \(-0.147590\pi\) | |||||||
\(182\) | 1.14368 | − | 1.46346i | 0.0847755 | − | 0.108479i | ||||
\(183\) | − | 1.57023i | − | 0.116075i | ||||||
\(184\) | 13.0264 | − | 10.4314i | 0.960320 | − | 0.769014i | ||||
\(185\) | 10.0888 | 0.741746 | ||||||||
\(186\) | −1.85984 | − | 1.16687i | −0.136370 | − | 0.0855589i | ||||
\(187\) | −3.10093 | + | 3.10093i | −0.226763 | + | 0.226763i | ||||
\(188\) | 5.68154 | + | 1.97946i | 0.414369 | + | 0.144367i | ||||
\(189\) | 1.13204 | − | 1.13204i | 0.0823435 | − | 0.0823435i | ||||
\(190\) | 2.76866 | − | 0.633893i | 0.200859 | − | 0.0459874i | ||||
\(191\) | 22.1240i | 1.60084i | 0.599441 | + | 0.800419i | \(0.295390\pi\) | ||||
−0.599441 | + | 0.800419i | \(0.704610\pi\) | |||||||
\(192\) | −6.45350 | − | 1.44551i | −0.465742 | − | 0.104321i | ||||
\(193\) | 2.78544 | − | 2.78544i | 0.200501 | − | 0.200501i | −0.599714 | − | 0.800214i | \(-0.704719\pi\) |
0.800214 | + | 0.599714i | \(0.204719\pi\) | |||||||
\(194\) | −1.21913 | − | 0.764882i | −0.0875282 | − | 0.0549153i | ||||
\(195\) | 4.53958 | + | 5.58660i | 0.325086 | + | 0.400065i | ||||
\(196\) | −5.97593 | − | 12.3664i | −0.426852 | − | 0.883316i | ||||
\(197\) | −12.2674 | − | 12.2674i | −0.874014 | − | 0.874014i | 0.118893 | − | 0.992907i | \(-0.462065\pi\) |
−0.992907 | + | 0.118893i | \(0.962065\pi\) | |||||||
\(198\) | −2.77519 | − | 1.74116i | −0.197224 | − | 0.123739i | ||||
\(199\) | 21.5443 | 1.52724 | 0.763618 | − | 0.645668i | \(-0.223421\pi\) | ||||
0.763618 | + | 0.645668i | \(0.223421\pi\) | |||||||
\(200\) | −1.47208 | − | 1.83828i | −0.104092 | − | 0.129986i | ||||
\(201\) | −0.647166 | − | 0.647166i | −0.0456476 | − | 0.0456476i | ||||
\(202\) | 3.88125 | + | 16.9522i | 0.273084 | + | 1.19275i | ||||
\(203\) | 0.193678 | + | 0.193678i | 0.0135935 | + | 0.0135935i | ||||
\(204\) | 6.52830 | − | 3.15472i | 0.457073 | − | 0.220875i | ||||
\(205\) | 23.1152i | 1.61443i | ||||||||
\(206\) | −6.70939 | + | 1.53614i | −0.467466 | + | 0.107028i | ||||
\(207\) | −13.6685 | −0.950027 | ||||||||
\(208\) | 10.3183 | + | 10.0763i | 0.715448 | + | 0.698666i | ||||
\(209\) | −0.831603 | −0.0575232 | ||||||||
\(210\) | −1.00252 | + | 0.229531i | −0.0691806 | + | 0.0158391i | ||||
\(211\) | − | 6.49759i | − | 0.447313i | −0.974668 | − | 0.223656i | \(-0.928201\pi\) | ||
0.974668 | − | 0.223656i | \(-0.0717993\pi\) | |||||||
\(212\) | −5.91818 | + | 2.85989i | −0.406462 | + | 0.196418i | ||||
\(213\) | 1.88402 | + | 1.88402i | 0.129091 | + | 0.129091i | ||||
\(214\) | −3.27618 | − | 14.3094i | −0.223955 | − | 0.978170i | ||||
\(215\) | 4.44853 | + | 4.44853i | 0.303388 | + | 0.303388i | ||||
\(216\) | 7.77042 | + | 9.70344i | 0.528710 | + | 0.660236i | ||||
\(217\) | −0.684077 | −0.0464382 | ||||||||
\(218\) | 22.9068 | + | 14.3717i | 1.55144 | + | 0.973377i | ||||
\(219\) | 3.67913 | + | 3.67913i | 0.248612 | + | 0.248612i | ||||
\(220\) | 2.10160 | + | 4.34900i | 0.141690 | + | 0.293210i | ||||
\(221\) | −15.7279 | − | 1.62622i | −1.05797 | − | 0.109391i | ||||
\(222\) | 4.13700 | + | 2.59556i | 0.277657 | + | 0.174202i | ||||
\(223\) | −4.87289 | + | 4.87289i | −0.326313 | + | 0.326313i | −0.851183 | − | 0.524870i | \(-0.824114\pi\) |
0.524870 | + | 0.851183i | \(0.324114\pi\) | |||||||
\(224\) | −1.94260 | + | 0.687107i | −0.129795 | + | 0.0459093i | ||||
\(225\) | 1.92890i | 0.128593i | ||||||||
\(226\) | 3.34490 | − | 0.765827i | 0.222500 | − | 0.0509420i | ||||
\(227\) | −10.6524 | + | 10.6524i | −0.707025 | + | 0.707025i | −0.965909 | − | 0.258884i | \(-0.916645\pi\) |
0.258884 | + | 0.965909i | \(0.416645\pi\) | |||||||
\(228\) | 1.29839 | + | 0.452360i | 0.0859879 | + | 0.0299583i | ||||
\(229\) | 3.05190 | − | 3.05190i | 0.201675 | − | 0.201675i | −0.599042 | − | 0.800718i | \(-0.704452\pi\) |
0.800718 | + | 0.599042i | \(0.204452\pi\) | |||||||
\(230\) | 17.0704 | + | 10.7100i | 1.12559 | + | 0.706194i | ||||
\(231\) | 0.301121 | 0.0198123 | ||||||||
\(232\) | −1.66014 | + | 1.32943i | −0.108994 | + | 0.0872811i | ||||
\(233\) | − | 23.2012i | − | 1.51996i | −0.649944 | − | 0.759982i | \(-0.725208\pi\) | ||
0.649944 | − | 0.759982i | \(-0.274792\pi\) | |||||||
\(234\) | −1.43804 | − | 11.7246i | −0.0940079 | − | 0.766458i | ||||
\(235\) | 7.26517i | 0.473928i | ||||||||
\(236\) | 28.0078 | + | 9.75797i | 1.82315 | + | 0.635190i | ||||
\(237\) | −6.44410 | −0.418589 | ||||||||
\(238\) | 1.20060 | − | 1.91361i | 0.0778234 | − | 0.124041i | ||||
\(239\) | −13.9499 | + | 13.9499i | −0.902343 | + | 0.902343i | −0.995638 | − | 0.0932954i | \(-0.970260\pi\) |
0.0932954 | + | 0.995638i | \(0.470260\pi\) | |||||||
\(240\) | −0.915556 | − | 7.93332i | −0.0590989 | − | 0.512094i | ||||
\(241\) | −14.0819 | + | 14.0819i | −0.907092 | + | 0.907092i | −0.996037 | − | 0.0889446i | \(-0.971651\pi\) |
0.0889446 | + | 0.996037i | \(0.471651\pi\) | |||||||
\(242\) | −0.315622 | − | 1.37854i | −0.0202890 | − | 0.0886161i | ||||
\(243\) | − | 15.9270i | − | 1.02172i | ||||||
\(244\) | 3.42046 | − | 1.65290i | 0.218973 | − | 0.105816i | ||||
\(245\) | 11.7275 | − | 11.7275i | 0.749241 | − | 0.749241i | ||||
\(246\) | −5.94684 | + | 9.47853i | −0.379157 | + | 0.604329i | ||||
\(247\) | −1.89088 | − | 2.32699i | −0.120314 | − | 0.148063i | ||||
\(248\) | 0.584054 | − | 5.27963i | 0.0370875 | − | 0.335257i | ||||
\(249\) | −8.50783 | − | 8.50783i | −0.539162 | − | 0.539162i | ||||
\(250\) | −7.56449 | + | 12.0569i | −0.478421 | + | 0.762543i | ||||
\(251\) | −8.14177 | −0.513904 | −0.256952 | − | 0.966424i | \(-0.582718\pi\) | ||||
−0.256952 | + | 0.966424i | \(0.582718\pi\) | |||||||
\(252\) | 1.59371 | + | 0.555252i | 0.100394 | + | 0.0349776i | ||||
\(253\) | −4.17209 | − | 4.17209i | −0.262297 | − | 0.262297i | ||||
\(254\) | 16.9547 | − | 3.88183i | 1.06383 | − | 0.243568i | ||||
\(255\) | 6.19100 | + | 6.19100i | 0.387695 | + | 0.387695i | ||||
\(256\) | −3.64446 | − | 15.5794i | −0.227779 | − | 0.973713i | ||||
\(257\) | 3.10604i | 0.193750i | 0.995297 | + | 0.0968748i | \(0.0308846\pi\) | ||||
−0.995297 | + | 0.0968748i | \(0.969115\pi\) | |||||||
\(258\) | 0.679677 | + | 2.96863i | 0.0423148 | + | 0.184819i | ||||
\(259\) | 1.52165 | 0.0945504 | ||||||||
\(260\) | −7.39083 | + | 15.7694i | −0.458360 | + | 0.977975i | ||||
\(261\) | 1.74198 | 0.107826 | ||||||||
\(262\) | 2.00060 | + | 8.73802i | 0.123597 | + | 0.539837i | ||||
\(263\) | 13.9864i | 0.862439i | 0.902247 | + | 0.431220i | \(0.141917\pi\) | ||||
−0.902247 | + | 0.431220i | \(0.858083\pi\) | |||||||
\(264\) | −0.257092 | + | 2.32402i | −0.0158229 | + | 0.143033i | ||||
\(265\) | −5.61240 | − | 5.61240i | −0.344767 | − | 0.344767i | ||||
\(266\) | 0.417582 | − | 0.0956067i | 0.0256036 | − | 0.00586202i | ||||
\(267\) | −0.825174 | − | 0.825174i | −0.0504998 | − | 0.0504998i | ||||
\(268\) | 0.728497 | − | 2.09097i | 0.0445000 | − | 0.127726i | ||||
\(269\) | 18.3963 | 1.12164 | 0.560820 | − | 0.827938i | \(-0.310486\pi\) | ||||
0.560820 | + | 0.827938i | \(0.310486\pi\) | |||||||
\(270\) | −7.97791 | + | 12.7158i | −0.485520 | + | 0.773859i | ||||
\(271\) | −0.578866 | − | 0.578866i | −0.0351636 | − | 0.0351636i | 0.689306 | − | 0.724470i | \(-0.257915\pi\) |
−0.724470 | + | 0.689306i | \(0.757915\pi\) | |||||||
\(272\) | 13.7440 | + | 10.8999i | 0.833351 | + | 0.660905i | ||||
\(273\) | 0.684681 | + | 0.842597i | 0.0414388 | + | 0.0509963i | ||||
\(274\) | −9.44526 | + | 15.0546i | −0.570609 | + | 0.909480i | ||||
\(275\) | −0.588765 | + | 0.588765i | −0.0355039 | + | 0.0355039i | ||||
\(276\) | 4.24446 | + | 8.78338i | 0.255487 | + | 0.528698i | ||||
\(277\) | 12.1140i | 0.727861i | 0.931426 | + | 0.363931i | \(0.118565\pi\) | ||||
−0.931426 | + | 0.363931i | \(0.881435\pi\) | |||||||
\(278\) | 6.01564 | + | 26.2745i | 0.360794 | + | 1.57584i | ||||
\(279\) | −3.07636 | + | 3.07636i | −0.184177 | + | 0.184177i | ||||
\(280\) | −1.55529 | − | 1.94220i | −0.0929464 | − | 0.116068i | ||||
\(281\) | 4.97290 | − | 4.97290i | 0.296658 | − | 0.296658i | −0.543045 | − | 0.839703i | \(-0.682729\pi\) |
0.839703 | + | 0.543045i | \(0.182729\pi\) | |||||||
\(282\) | −1.86911 | + | 2.97913i | −0.111304 | + | 0.177405i | ||||
\(283\) | −12.6160 | −0.749942 | −0.374971 | − | 0.927037i | \(-0.622347\pi\) | ||||
−0.374971 | + | 0.927037i | \(0.622347\pi\) | |||||||
\(284\) | −2.12078 | + | 6.08719i | −0.125845 | + | 0.361208i | ||||
\(285\) | 1.66029i | 0.0983472i | ||||||||
\(286\) | 3.13979 | − | 4.01767i | 0.185660 | − | 0.237570i | ||||
\(287\) | 3.48634i | 0.205792i | ||||||||
\(288\) | −5.64606 | + | 11.8260i | −0.332697 | + | 0.696856i | ||||
\(289\) | −2.23158 | −0.131270 | ||||||||
\(290\) | −2.17552 | − | 1.36492i | −0.127751 | − | 0.0801511i | ||||
\(291\) | 0.594879 | − | 0.594879i | 0.0348724 | − | 0.0348724i | ||||
\(292\) | −4.14150 | + | 11.8871i | −0.242363 | + | 0.695642i | ||||
\(293\) | 20.7448 | − | 20.7448i | 1.21192 | − | 1.21192i | 0.241532 | − | 0.970393i | \(-0.422350\pi\) |
0.970393 | − | 0.241532i | \(-0.0776497\pi\) | |||||||
\(294\) | 7.82606 | − | 1.79180i | 0.456425 | − | 0.104500i | ||||
\(295\) | 35.8145i | 2.08520i | ||||||||
\(296\) | −1.29916 | + | 11.7439i | −0.0755120 | + | 0.682600i | ||||
\(297\) | 3.10781 | − | 3.10781i | 0.180334 | − | 0.180334i | ||||
\(298\) | 9.97807 | + | 6.26025i | 0.578014 | + | 0.362647i | ||||
\(299\) | 2.18797 | − | 21.1608i | 0.126534 | − | 1.22376i | ||||
\(300\) | 1.23951 | − | 0.598978i | 0.0715631 | − | 0.0345820i | ||||
\(301\) | 0.670949 | + | 0.670949i | 0.0386728 | + | 0.0386728i | ||||
\(302\) | −5.70001 | − | 3.57619i | −0.327999 | − | 0.205787i | ||||
\(303\) | −10.1658 | −0.584008 | ||||||||
\(304\) | 0.381358 | + | 3.30448i | 0.0218724 | + | 0.189525i | ||||
\(305\) | 3.24373 | + | 3.24373i | 0.185736 | + | 0.185736i | ||||
\(306\) | −3.20647 | − | 14.0049i | −0.183302 | − | 0.800607i | ||||
\(307\) | 12.9767 | + | 12.9767i | 0.740620 | + | 0.740620i | 0.972697 | − | 0.232077i | \(-0.0745521\pi\) |
−0.232077 | + | 0.972697i | \(0.574552\pi\) | |||||||
\(308\) | 0.316973 | + | 0.655937i | 0.0180612 | + | 0.0373755i | ||||
\(309\) | − | 4.02345i | − | 0.228886i | ||||||
\(310\) | 6.25249 | − | 1.43153i | 0.355118 | − | 0.0813053i | ||||
\(311\) | −15.8020 | −0.896047 | −0.448023 | − | 0.894022i | \(-0.647872\pi\) | ||||
−0.448023 | + | 0.894022i | \(0.647872\pi\) | |||||||
\(312\) | −7.08765 | + | 4.56490i | −0.401259 | + | 0.258436i | ||||
\(313\) | 22.4464 | 1.26874 | 0.634372 | − | 0.773028i | \(-0.281259\pi\) | ||||
0.634372 | + | 0.773028i | \(0.281259\pi\) | |||||||
\(314\) | 19.3594 | − | 4.43240i | 1.09251 | − | 0.250135i | ||||
\(315\) | 2.03793i | 0.114824i | ||||||||
\(316\) | −6.78335 | − | 14.0373i | −0.381593 | − | 0.789660i | ||||
\(317\) | 1.36669 | + | 1.36669i | 0.0767611 | + | 0.0767611i | 0.744445 | − | 0.667684i | \(-0.232714\pi\) |
−0.667684 | + | 0.744445i | \(0.732714\pi\) | |||||||
\(318\) | −0.857499 | − | 3.74530i | −0.0480862 | − | 0.210026i | ||||
\(319\) | 0.531710 | + | 0.531710i | 0.0297700 | + | 0.0297700i | ||||
\(320\) | 16.3176 | − | 10.3454i | 0.912179 | − | 0.578323i | ||||
\(321\) | 8.58097 | 0.478943 | ||||||||
\(322\) | 2.57463 | + | 1.61533i | 0.143479 | + | 0.0900186i | ||||
\(323\) | −2.57875 | − | 2.57875i | −0.143485 | − | 0.143485i | ||||
\(324\) | 5.97220 | − | 2.88599i | 0.331789 | − | 0.160333i | ||||
\(325\) | −2.98620 | − | 0.308766i | −0.165645 | − | 0.0171272i | ||||
\(326\) | −9.18492 | − | 5.76263i | −0.508706 | − | 0.319163i | ||||
\(327\) | −11.1775 | + | 11.1775i | −0.618116 | + | 0.618116i | ||||
\(328\) | −26.9072 | − | 2.97658i | −1.48570 | − | 0.164354i | ||||
\(329\) | 1.09577i | 0.0604116i | ||||||||
\(330\) | −2.75226 | + | 0.630138i | −0.151507 | + | 0.0346880i | ||||
\(331\) | 24.3057 | − | 24.3057i | 1.33596 | − | 1.33596i | 0.436031 | − | 0.899932i | \(-0.356384\pi\) |
0.899932 | − | 0.436031i | \(-0.143616\pi\) | |||||||
\(332\) | 9.57703 | − | 27.4885i | 0.525608 | − | 1.50863i | ||||
\(333\) | 6.84299 | − | 6.84299i | 0.374993 | − | 0.374993i | ||||
\(334\) | 20.2028 | + | 12.6752i | 1.10545 | + | 0.693558i | ||||
\(335\) | 2.67379 | 0.146085 | ||||||||
\(336\) | −0.138088 | − | 1.19654i | −0.00753334 | − | 0.0652767i | ||||
\(337\) | − | 14.5368i | − | 0.791871i | −0.918278 | − | 0.395936i | \(-0.870420\pi\) | ||
0.918278 | − | 0.395936i | \(-0.129580\pi\) | |||||||
\(338\) | 18.3815 | − | 0.349501i | 0.999819 | − | 0.0190104i | ||||
\(339\) | 2.00585i | 0.108943i | ||||||||
\(340\) | −6.96904 | + | 20.0029i | −0.377949 | + | 1.08481i | ||||
\(341\) | −1.87802 | −0.101700 | ||||||||
\(342\) | 1.44795 | − | 2.30786i | 0.0782963 | − | 0.124795i | ||||
\(343\) | 3.57176 | − | 3.57176i | 0.192857 | − | 0.192857i | ||||
\(344\) | −5.75116 | + | 4.60547i | −0.310082 | + | 0.248310i | ||||
\(345\) | −8.32956 | + | 8.32956i | −0.448449 | + | 0.448449i | ||||
\(346\) | −4.55434 | − | 19.8920i | −0.244843 | − | 1.06940i | ||||
\(347\) | − | 19.8058i | − | 1.06323i | −0.846986 | − | 0.531616i | \(-0.821585\pi\) | ||
0.846986 | − | 0.531616i | \(-0.178415\pi\) | |||||||
\(348\) | −0.540933 | − | 1.11939i | −0.0289971 | − | 0.0600058i | ||||
\(349\) | 23.9313 | − | 23.9313i | 1.28101 | − | 1.28101i | 0.340923 | − | 0.940091i | \(-0.389260\pi\) |
0.940091 | − | 0.340923i | \(-0.110740\pi\) | |||||||
\(350\) | 0.227954 | − | 0.363331i | 0.0121847 | − | 0.0194209i | ||||
\(351\) | 15.7628 | + | 1.62983i | 0.841355 | + | 0.0869939i | ||||
\(352\) | −5.33308 | + | 1.88634i | −0.284254 | + | 0.100542i | ||||
\(353\) | −9.00556 | − | 9.00556i | −0.479318 | − | 0.479318i | 0.425596 | − | 0.904913i | \(-0.360065\pi\) |
−0.904913 | + | 0.425596i | \(0.860065\pi\) | |||||||
\(354\) | −9.21400 | + | 14.6860i | −0.489719 | + | 0.780551i | ||||
\(355\) | −7.78388 | −0.413126 | ||||||||
\(356\) | 0.928876 | − | 2.66611i | 0.0492303 | − | 0.141303i | ||||
\(357\) | 0.933755 | + | 0.933755i | 0.0494196 | + | 0.0494196i | ||||
\(358\) | 17.4235 | − | 3.98916i | 0.920860 | − | 0.210834i | ||||
\(359\) | 20.5382 | + | 20.5382i | 1.08396 | + | 1.08396i | 0.996136 | + | 0.0878285i | \(0.0279928\pi\) |
0.0878285 | + | 0.996136i | \(0.472007\pi\) | |||||||
\(360\) | −15.7285 | − | 1.73995i | −0.828967 | − | 0.0917036i | ||||
\(361\) | 18.3084i | 0.963602i | ||||||||
\(362\) | 3.79811 | + | 16.5890i | 0.199624 | + | 0.871900i | ||||
\(363\) | 0.826677 | 0.0433893 | ||||||||
\(364\) | −1.11472 | + | 2.37841i | −0.0584272 | + | 0.124663i | ||||
\(365\) | −15.2005 | −0.795629 | ||||||||
\(366\) | 0.495599 | + | 2.16463i | 0.0259054 | + | 0.113147i | ||||
\(367\) | − | 21.1963i | − | 1.10644i | −0.833035 | − | 0.553220i | \(-0.813399\pi\) | ||
0.833035 | − | 0.553220i | \(-0.186601\pi\) | |||||||
\(368\) | −14.6651 | + | 18.4916i | −0.764471 | + | 0.963940i | ||||
\(369\) | 15.6784 | + | 15.6784i | 0.816184 | + | 0.816184i | ||||
\(370\) | −13.9079 | + | 3.18426i | −0.723037 | + | 0.165542i | ||||
\(371\) | −0.846488 | − | 0.846488i | −0.0439474 | − | 0.0439474i | ||||
\(372\) | 2.93217 | + | 1.02157i | 0.152026 | + | 0.0529660i | ||||
\(373\) | 8.08626 | 0.418690 | 0.209345 | − | 0.977842i | \(-0.432867\pi\) | ||||
0.209345 | + | 0.977842i | \(0.432867\pi\) | |||||||
\(374\) | 3.29605 | − | 5.25350i | 0.170435 | − | 0.271652i | ||||
\(375\) | −5.88321 | − | 5.88321i | −0.303808 | − | 0.303808i | ||||
\(376\) | −8.45702 | − | 0.935549i | −0.436137 | − | 0.0482472i | ||||
\(377\) | −0.278844 | + | 2.69682i | −0.0143612 | + | 0.138893i | ||||
\(378\) | −1.20326 | + | 1.91786i | −0.0618893 | + | 0.0986439i | ||||
\(379\) | −3.16653 | + | 3.16653i | −0.162654 | + | 0.162654i | −0.783741 | − | 0.621087i | \(-0.786691\pi\) |
0.621087 | + | 0.783741i | \(0.286691\pi\) | |||||||
\(380\) | −3.61664 | + | 1.74770i | −0.185530 | + | 0.0896550i | ||||
\(381\) | 10.1673i | 0.520885i | ||||||||
\(382\) | −6.98283 | − | 30.4989i | −0.357273 | − | 1.56046i | ||||
\(383\) | −24.2743 | + | 24.2743i | −1.24036 | + | 1.24036i | −0.280506 | + | 0.959852i | \(0.590502\pi\) |
−0.959852 | + | 0.280506i | \(0.909498\pi\) | |||||||
\(384\) | 9.35267 | − | 0.0441640i | 0.477277 | − | 0.00225373i | ||||
\(385\) | −0.622046 | + | 0.622046i | −0.0317024 | + | 0.0317024i | ||||
\(386\) | −2.96071 | + | 4.71900i | −0.150696 | + | 0.240191i | ||||
\(387\) | 6.03464 | 0.306758 | ||||||||
\(388\) | 1.92203 | + | 0.669639i | 0.0975765 | + | 0.0339958i | ||||
\(389\) | 6.72359i | 0.340900i | 0.985366 | + | 0.170450i | \(0.0545221\pi\) | ||||
−0.985366 | + | 0.170450i | \(0.945478\pi\) | |||||||
\(390\) | −8.02126 | − | 6.26858i | −0.406173 | − | 0.317422i | ||||
\(391\) | − | 25.8748i | − | 1.30854i | ||||||
\(392\) | 12.1412 | + | 15.1615i | 0.613223 | + | 0.765773i | ||||
\(393\) | −5.23996 | −0.264321 | ||||||||
\(394\) | 20.7830 | + | 13.0392i | 1.04703 | + | 0.656908i | ||||
\(395\) | 13.3120 | − | 13.3120i | 0.669801 | − | 0.669801i | ||||
\(396\) | 4.37527 | + | 1.52435i | 0.219866 | + | 0.0766015i | ||||
\(397\) | −18.5504 | + | 18.5504i | −0.931020 | + | 0.931020i | −0.997770 | − | 0.0667496i | \(-0.978737\pi\) |
0.0667496 | + | 0.997770i | \(0.478737\pi\) | |||||||
\(398\) | −29.6998 | + | 6.79986i | −1.48872 | + | 0.340846i | ||||
\(399\) | 0.250413i | 0.0125363i | ||||||||
\(400\) | 2.60953 | + | 2.06954i | 0.130476 | + | 0.103477i | ||||
\(401\) | −12.2892 | + | 12.2892i | −0.613692 | + | 0.613692i | −0.943906 | − | 0.330214i | \(-0.892879\pi\) |
0.330214 | + | 0.943906i | \(0.392879\pi\) | |||||||
\(402\) | 1.09641 | + | 0.687886i | 0.0546838 | + | 0.0343087i | ||||
\(403\) | −4.27019 | − | 5.25508i | −0.212713 | − | 0.261774i | ||||
\(404\) | −10.7010 | − | 22.1443i | −0.532392 | − | 1.10172i | ||||
\(405\) | 5.66363 | + | 5.66363i | 0.281428 | + | 0.281428i | ||||
\(406\) | −0.328122 | − | 0.205864i | −0.0162844 | − | 0.0102169i | ||||
\(407\) | 4.17742 | 0.207067 | ||||||||
\(408\) | −8.00385 | + | 6.40940i | −0.396250 | + | 0.317313i | ||||
\(409\) | −11.6556 | − | 11.6556i | −0.576332 | − | 0.576332i | 0.357559 | − | 0.933891i | \(-0.383609\pi\) |
−0.933891 | + | 0.357559i | \(0.883609\pi\) | |||||||
\(410\) | −7.29565 | − | 31.8653i | −0.360307 | − | 1.57371i | ||||
\(411\) | −7.34596 | − | 7.34596i | −0.362349 | − | 0.362349i | ||||
\(412\) | 8.76435 | − | 4.23527i | 0.431789 | − | 0.208657i | ||||
\(413\) | 5.40171i | 0.265801i | ||||||||
\(414\) | 18.8426 | − | 4.31408i | 0.926065 | − | 0.212026i | ||||
\(415\) | 35.1504 | 1.72547 | ||||||||
\(416\) | −17.4046 | − | 10.6339i | −0.853330 | − | 0.521371i | ||||
\(417\) | −15.7562 | −0.771582 | ||||||||
\(418\) | 1.14640 | − | 0.262472i | 0.0560723 | − | 0.0128379i | ||||
\(419\) | − | 29.9379i | − | 1.46256i | −0.682077 | − | 0.731280i | \(-0.738923\pi\) | ||
0.682077 | − | 0.731280i | \(-0.261077\pi\) | |||||||
\(420\) | 1.30957 | − | 0.632836i | 0.0639007 | − | 0.0308792i | ||||
\(421\) | 16.3920 | + | 16.3920i | 0.798898 | + | 0.798898i | 0.982922 | − | 0.184024i | \(-0.0589125\pi\) |
−0.184024 | + | 0.982922i | \(0.558912\pi\) | |||||||
\(422\) | 2.05078 | + | 8.95721i | 0.0998306 | + | 0.436030i | ||||
\(423\) | 4.92777 | + | 4.92777i | 0.239596 | + | 0.239596i | ||||
\(424\) | 7.25582 | − | 5.81038i | 0.352374 | − | 0.282177i | ||||
\(425\) | −3.65144 | −0.177121 | ||||||||
\(426\) | −3.19183 | − | 2.00256i | −0.154645 | − | 0.0970244i | ||||
\(427\) | 0.489235 | + | 0.489235i | 0.0236757 | + | 0.0236757i | ||||
\(428\) | 9.03272 | + | 18.6921i | 0.436613 | + | 0.903516i | ||||
\(429\) | 1.87968 | + | 2.31321i | 0.0907516 | + | 0.111683i | ||||
\(430\) | −7.53656 | − | 4.72844i | −0.363445 | − | 0.228026i | ||||
\(431\) | −23.8025 | + | 23.8025i | −1.14653 | + | 1.14653i | −0.159297 | + | 0.987231i | \(0.550923\pi\) |
−0.987231 | + | 0.159297i | \(0.949077\pi\) | |||||||
\(432\) | −13.7745 | − | 10.9241i | −0.662725 | − | 0.525586i | ||||
\(433\) | 17.3572i | 0.834133i | 0.908876 | + | 0.417067i | \(0.136942\pi\) | ||||
−0.908876 | + | 0.417067i | \(0.863058\pi\) | |||||||
\(434\) | 0.943030 | − | 0.215910i | 0.0452669 | − | 0.0103640i | ||||
\(435\) | 1.06156 | − | 1.06156i | 0.0508977 | − | 0.0508977i | ||||
\(436\) | −36.1140 | − | 12.5822i | −1.72955 | − | 0.602577i | ||||
\(437\) | 3.46952 | − | 3.46952i | 0.165970 | − | 0.165970i | ||||
\(438\) | −6.23305 | − | 3.91063i | −0.297827 | − | 0.186857i | ||||
\(439\) | 12.6771 | 0.605045 | 0.302522 | − | 0.953142i | \(-0.402171\pi\) | ||||
0.302522 | + | 0.953142i | \(0.402171\pi\) | |||||||
\(440\) | −4.26979 | − | 5.33198i | −0.203554 | − | 0.254192i | ||||
\(441\) | − | 15.9089i | − | 0.757565i | ||||||
\(442\) | 22.1948 | − | 2.72225i | 1.05570 | − | 0.129484i | ||||
\(443\) | − | 39.2276i | − | 1.86376i | −0.362770 | − | 0.931879i | \(-0.618169\pi\) | ||
0.362770 | − | 0.931879i | \(-0.381831\pi\) | |||||||
\(444\) | −6.52224 | − | 2.27236i | −0.309532 | − | 0.107841i | ||||
\(445\) | 3.40924 | 0.161613 | ||||||||
\(446\) | 5.17950 | − | 8.25549i | 0.245257 | − | 0.390909i | ||||
\(447\) | −4.86885 | + | 4.86885i | −0.230289 | + | 0.230289i | ||||
\(448\) | 2.46109 | − | 1.56033i | 0.116276 | − | 0.0737189i | ||||
\(449\) | 1.84793 | − | 1.84793i | 0.0872092 | − | 0.0872092i | −0.662156 | − | 0.749366i | \(-0.730359\pi\) |
0.749366 | + | 0.662156i | \(0.230359\pi\) | |||||||
\(450\) | −0.608803 | − | 2.65907i | −0.0286992 | − | 0.125350i | ||||
\(451\) | 9.57115i | 0.450688i | ||||||||
\(452\) | −4.36938 | + | 2.11145i | −0.205519 | + | 0.0993143i | ||||
\(453\) | 2.78135 | − | 2.78135i | 0.130679 | − | 0.130679i | ||||
\(454\) | 11.3227 | − | 18.0469i | 0.531399 | − | 0.846985i | ||||
\(455\) | −3.15500 | − | 0.326219i | −0.147909 | − | 0.0152934i | ||||
\(456\) | −1.93266 | − | 0.213799i | −0.0905051 | − | 0.0100120i | ||||
\(457\) | −9.51512 | − | 9.51512i | −0.445098 | − | 0.445098i | 0.448623 | − | 0.893721i | \(-0.351915\pi\) |
−0.893721 | + | 0.448623i | \(0.851915\pi\) | |||||||
\(458\) | −3.24393 | + | 5.17043i | −0.151579 | + | 0.241598i | ||||
\(459\) | 19.2743 | 0.899645 | ||||||||
\(460\) | −26.9125 | − | 9.37637i | −1.25480 | − | 0.437175i | ||||
\(461\) | −25.0755 | − | 25.0755i | −1.16788 | − | 1.16788i | −0.982705 | − | 0.185176i | \(-0.940714\pi\) |
−0.185176 | − | 0.982705i | \(-0.559286\pi\) | |||||||
\(462\) | −0.415108 | + | 0.0950404i | −0.0193126 | + | 0.00442168i | ||||
\(463\) | −23.6940 | − | 23.6940i | −1.10115 | − | 1.10115i | −0.994272 | − | 0.106879i | \(-0.965914\pi\) |
−0.106879 | − | 0.994272i | \(-0.534086\pi\) | |||||||
\(464\) | 1.86898 | − | 2.35665i | 0.0867654 | − | 0.109405i | ||||
\(465\) | 3.74946i | 0.173877i | ||||||||
\(466\) | 7.32283 | + | 31.9839i | 0.339223 | + | 1.48163i | ||||
\(467\) | −28.8398 | −1.33455 | −0.667273 | − | 0.744813i | \(-0.732539\pi\) | ||||
−0.667273 | + | 0.744813i | \(0.732539\pi\) | |||||||
\(468\) | 5.68294 | + | 15.7089i | 0.262694 | + | 0.726146i | ||||
\(469\) | 0.403274 | 0.0186214 | ||||||||
\(470\) | −2.29305 | − | 10.0154i | −0.105770 | − | 0.461974i | ||||
\(471\) | 11.6093i | 0.534930i | ||||||||
\(472\) | −41.6898 | − | 4.61190i | −1.91893 | − | 0.212280i | ||||
\(473\) | 1.84198 | + | 1.84198i | 0.0846942 | + | 0.0846942i | ||||
\(474\) | 8.88347 | − | 2.03390i | 0.408031 | − | 0.0934201i | ||||
\(475\) | −0.489619 | − | 0.489619i | −0.0224652 | − | 0.0224652i | ||||
\(476\) | −1.05110 | + | 3.01693i | −0.0481772 | + | 0.138281i | ||||
\(477\) | −7.61347 | −0.348597 | ||||||||
\(478\) | 14.8276 | − | 23.6334i | 0.678200 | − | 1.08097i | ||||
\(479\) | −3.83111 | − | 3.83111i | −0.175048 | − | 0.175048i | 0.614145 | − | 0.789193i | \(-0.289501\pi\) |
−0.789193 | + | 0.614145i | \(0.789501\pi\) | |||||||
\(480\) | 3.76607 | + | 10.6475i | 0.171897 | + | 0.485988i | ||||
\(481\) | 9.49852 | + | 11.6893i | 0.433095 | + | 0.532986i | ||||
\(482\) | 14.9679 | − | 23.8570i | 0.681769 | − | 1.08666i | ||||
\(483\) | −1.25630 | + | 1.25630i | −0.0571638 | + | 0.0571638i | ||||
\(484\) | 0.870198 | + | 1.80077i | 0.0395544 | + | 0.0818530i | ||||
\(485\) | 2.45777i | 0.111601i | ||||||||
\(486\) | 5.02691 | + | 21.9561i | 0.228025 | + | 0.995947i | ||||
\(487\) | −6.58266 | + | 6.58266i | −0.298289 | + | 0.298289i | −0.840343 | − | 0.542055i | \(-0.817647\pi\) |
0.542055 | + | 0.840343i | \(0.317647\pi\) | |||||||
\(488\) | −4.19356 | + | 3.35816i | −0.189834 | + | 0.152017i | ||||
\(489\) | 4.48183 | − | 4.48183i | 0.202675 | − | 0.202675i | ||||
\(490\) | −12.4654 | + | 19.8683i | −0.563129 | + | 0.897558i | ||||
\(491\) | 27.2223 | 1.22853 | 0.614263 | − | 0.789102i | \(-0.289454\pi\) | ||||
0.614263 | + | 0.789102i | \(0.289454\pi\) | |||||||
\(492\) | 5.20634 | − | 14.9435i | 0.234720 | − | 0.673706i | ||||
\(493\) | 3.29760i | 0.148516i | ||||||||
\(494\) | 3.34111 | + | 2.61106i | 0.150324 | + | 0.117477i | ||||
\(495\) | 5.59480i | 0.251468i | ||||||||
\(496\) | 0.861225 | + | 7.46254i | 0.0386701 | + | 0.335078i | ||||
\(497\) | −1.17400 | −0.0526612 | ||||||||
\(498\) | 14.4137 | + | 9.04315i | 0.645892 | + | 0.405233i | ||||
\(499\) | 23.1631 | − | 23.1631i | 1.03692 | − | 1.03692i | 0.0376299 | − | 0.999292i | \(-0.488019\pi\) |
0.999292 | − | 0.0376299i | \(-0.0119808\pi\) | |||||||
\(500\) | 6.62257 | − | 19.0084i | 0.296170 | − | 0.850083i | ||||
\(501\) | −9.85804 | + | 9.85804i | −0.440425 | + | 0.440425i | ||||
\(502\) | 11.2238 | − | 2.56972i | 0.500942 | − | 0.114692i | ||||
\(503\) | 20.4703i | 0.912725i | 0.889794 | + | 0.456363i | \(0.150848\pi\) | ||||
−0.889794 | + | 0.456363i | \(0.849152\pi\) | |||||||
\(504\) | −2.37225 | − | 0.262428i | −0.105668 | − | 0.0116895i | ||||
\(505\) | 21.0001 | − | 21.0001i | 0.934494 | − | 0.934494i | ||||
\(506\) | 7.06822 | + | 4.43461i | 0.314221 | + | 0.197142i | ||||
\(507\) | −2.19887 | + | 10.5194i | −0.0976554 | + | 0.467185i | ||||
\(508\) | −22.1476 | + | 10.7025i | −0.982639 | + | 0.474848i | ||||
\(509\) | −6.99787 | − | 6.99787i | −0.310175 | − | 0.310175i | 0.534802 | − | 0.844977i | \(-0.320386\pi\) |
−0.844977 | + | 0.534802i | \(0.820386\pi\) | |||||||
\(510\) | −10.4886 | − | 6.58055i | −0.464442 | − | 0.291392i | ||||
\(511\) | −2.29260 | −0.101419 | ||||||||
\(512\) | 9.94126 | + | 20.3266i | 0.439346 | + | 0.898318i | ||||
\(513\) | 2.58447 | + | 2.58447i | 0.114107 | + | 0.114107i | ||||
\(514\) | −0.980336 | − | 4.28182i | −0.0432408 | − | 0.188863i | ||||
\(515\) | 8.31152 | + | 8.31152i | 0.366249 | + | 0.366249i | ||||
\(516\) | −1.87393 | − | 3.87786i | −0.0824951 | − | 0.170713i | ||||
\(517\) | 3.00825i | 0.132303i | ||||||||
\(518\) | −2.09765 | + | 0.480265i | −0.0921657 | + | 0.0211016i | ||||
\(519\) | 11.9287 | 0.523612 | ||||||||
\(520\) | 5.21142 | − | 24.0715i | 0.228536 | − | 1.05560i | ||||
\(521\) | −40.9159 | −1.79256 | −0.896280 | − | 0.443490i | \(-0.853740\pi\) | ||||
−0.896280 | + | 0.443490i | \(0.853740\pi\) | |||||||
\(522\) | −2.40139 | + | 0.549806i | −0.105106 | + | 0.0240644i | ||||
\(523\) | − | 41.2524i | − | 1.80384i | −0.431901 | − | 0.901921i | \(-0.642157\pi\) | ||
0.431901 | − | 0.901921i | \(-0.357843\pi\) | |||||||
\(524\) | −5.51582 | − | 11.4143i | −0.240960 | − | 0.498636i | ||||
\(525\) | 0.177289 | + | 0.177289i | 0.00773754 | + | 0.00773754i | ||||
\(526\) | −4.41442 | − | 19.2809i | −0.192478 | − | 0.840687i | ||||
\(527\) | −5.82361 | − | 5.82361i | −0.253681 | − | 0.253681i | ||||
\(528\) | −0.379099 | − | 3.28490i | −0.0164982 | − | 0.142957i | ||||
\(529\) | 11.8127 | 0.513597 | ||||||||
\(530\) | 9.50833 | + | 5.96554i | 0.413015 | + | 0.259126i | ||||
\(531\) | 24.2920 | + | 24.2920i | 1.05418 | + | 1.05418i | ||||
\(532\) | −0.545479 | + | 0.263596i | −0.0236495 | + | 0.0114283i | ||||
\(533\) | −26.7820 | + | 21.7626i | −1.16006 | + | 0.942645i | ||||
\(534\) | 1.39798 | + | 0.877095i | 0.0604966 | + | 0.0379556i | ||||
\(535\) | −17.7263 | + | 17.7263i | −0.766375 | + | 0.766375i | ||||
\(536\) | −0.344309 | + | 3.11242i | −0.0148719 | + | 0.134436i | ||||
\(537\) | 10.4484i | 0.450882i | ||||||||
\(538\) | −25.3600 | + | 5.80627i | −1.09335 | + | 0.250326i | ||||
\(539\) | 4.85593 | − | 4.85593i | 0.209160 | − | 0.209160i | ||||
\(540\) | 6.98450 | − | 20.0473i | 0.300565 | − | 0.862698i | ||||
\(541\) | −21.7607 | + | 21.7607i | −0.935565 | + | 0.935565i | −0.998046 | − | 0.0624816i | \(-0.980099\pi\) |
0.0624816 | + | 0.998046i | \(0.480099\pi\) | |||||||
\(542\) | 0.980695 | + | 0.615289i | 0.0421245 | + | 0.0264289i | ||||
\(543\) | −9.94801 | −0.426910 | ||||||||
\(544\) | −22.3869 | − | 10.6881i | −0.959832 | − | 0.458249i | ||||
\(545\) | − | 46.1802i | − | 1.97814i | ||||||
\(546\) | −1.20980 | − | 0.945457i | −0.0517749 | − | 0.0404618i | ||||
\(547\) | 17.2418i | 0.737206i | 0.929587 | + | 0.368603i | \(0.120164\pi\) | ||||
−0.929587 | + | 0.368603i | \(0.879836\pi\) | |||||||
\(548\) | 8.26914 | − | 23.7345i | 0.353240 | − | 1.01389i | ||||
\(549\) | 4.40027 | 0.187799 | ||||||||
\(550\) | 0.625811 | − | 0.997466i | 0.0266847 | − | 0.0425321i | ||||
\(551\) | −0.442172 | + | 0.442172i | −0.0188371 | + | 0.0188371i | ||||
\(552\) | −8.62341 | − | 10.7686i | −0.367037 | − | 0.458343i | ||||
\(553\) | 2.00778 | − | 2.00778i | 0.0853796 | − | 0.0853796i | ||||
\(554\) | −3.82345 | − | 16.6997i | −0.162443 | − | 0.709503i | ||||
\(555\) | − | 8.34021i | − | 0.354022i | ||||||
\(556\) | −16.5857 | − | 34.3219i | −0.703389 | − | 1.45557i | ||||
\(557\) | 0.474919 | − | 0.474919i | 0.0201230 | − | 0.0201230i | −0.696974 | − | 0.717097i | \(-0.745471\pi\) |
0.717097 | + | 0.696974i | \(0.245471\pi\) | |||||||
\(558\) | 3.26993 | − | 5.21186i | 0.138427 | − | 0.220636i | ||||
\(559\) | −0.965987 | + | 9.34247i | −0.0408569 | + | 0.395145i | ||||
\(560\) | 2.75704 | + | 2.18652i | 0.116506 | + | 0.0923973i | ||||
\(561\) | 2.56347 | + | 2.56347i | 0.108230 | + | 0.108230i | ||||
\(562\) | −5.28580 | + | 8.42492i | −0.222968 | + | 0.355384i | ||||
\(563\) | 25.9020 | 1.09164 | 0.545819 | − | 0.837903i | \(-0.316219\pi\) | ||||
0.545819 | + | 0.837903i | \(0.316219\pi\) | |||||||
\(564\) | 1.63637 | − | 4.69680i | 0.0689037 | − | 0.197771i | ||||
\(565\) | −4.14363 | − | 4.14363i | −0.174324 | − | 0.174324i | ||||
\(566\) | 17.3917 | − | 3.98188i | 0.731027 | − | 0.167371i | ||||
\(567\) | 0.854215 | + | 0.854215i | 0.0358737 | + | 0.0358737i | ||||
\(568\) | 1.00234 | − | 9.06082i | 0.0420574 | − | 0.380184i | ||||
\(569\) | 4.69173i | 0.196688i | 0.995152 | + | 0.0983439i | \(0.0313545\pi\) | ||||
−0.995152 | + | 0.0983439i | \(0.968645\pi\) | |||||||
\(570\) | −0.524025 | − | 2.28878i | −0.0219490 | − | 0.0958666i | ||||
\(571\) | −22.0619 | −0.923261 | −0.461631 | − | 0.887072i | \(-0.652735\pi\) | ||||
−0.461631 | + | 0.887072i | \(0.652735\pi\) | |||||||
\(572\) | −3.06028 | + | 6.52953i | −0.127957 | + | 0.273013i | ||||
\(573\) | 18.2894 | 0.764051 | ||||||||
\(574\) | −1.10036 | − | 4.80607i | −0.0459283 | − | 0.200601i | ||||
\(575\) | − | 4.91277i | − | 0.204876i | ||||||
\(576\) | 4.05078 | − | 18.0847i | 0.168783 | − | 0.753531i | ||||
\(577\) | 8.84064 | + | 8.84064i | 0.368041 | + | 0.368041i | 0.866762 | − | 0.498722i | \(-0.166197\pi\) |
−0.498722 | + | 0.866762i | \(0.666197\pi\) | |||||||
\(578\) | 3.07634 | − | 0.704337i | 0.127959 | − | 0.0292966i | ||||
\(579\) | −2.30266 | − | 2.30266i | −0.0956953 | − | 0.0956953i | ||||
\(580\) | 3.42985 | + | 1.19497i | 0.142417 | + | 0.0496182i | ||||
\(581\) | 5.30155 | 0.219945 | ||||||||
\(582\) | −0.632310 | + | 1.00782i | −0.0262101 | + | 0.0417756i | ||||
\(583\) | −2.32389 | − | 2.32389i | −0.0962457 | − | 0.0962457i | ||||
\(584\) | 1.95739 | − | 17.6941i | 0.0809974 | − | 0.732186i | ||||
\(585\) | −15.6554 | + | 12.7213i | −0.647271 | + | 0.525962i | ||||
\(586\) | −22.0501 | + | 35.1451i | −0.910881 | + | 1.45183i | ||||
\(587\) | 0.201821 | − | 0.201821i | 0.00833004 | − | 0.00833004i | −0.702929 | − | 0.711260i | \(-0.748125\pi\) |
0.711260 | + | 0.702929i | \(0.248125\pi\) | |||||||
\(588\) | −10.2230 | + | 4.94016i | −0.421591 | + | 0.203729i | ||||
\(589\) | − | 1.56177i | − | 0.0643514i | ||||||
\(590\) | −11.3039 | − | 49.3719i | −0.465372 | − | 2.03261i | ||||
\(591\) | −10.1411 | + | 10.1411i | −0.417151 | + | 0.417151i | ||||
\(592\) | −1.91569 | − | 16.5995i | −0.0787344 | − | 0.682236i | ||||
\(593\) | −18.5024 | + | 18.5024i | −0.759803 | + | 0.759803i | −0.976286 | − | 0.216483i | \(-0.930541\pi\) |
0.216483 | + | 0.976286i | \(0.430541\pi\) | |||||||
\(594\) | −3.30336 | + | 5.26515i | −0.135539 | + | 0.216032i | ||||
\(595\) | −3.85785 | −0.158156 | ||||||||
\(596\) | −15.7311 | − | 5.48073i | −0.644370 | − | 0.224499i | ||||
\(597\) | − | 17.8102i | − | 0.728922i | ||||||
\(598\) | 3.66260 | + | 29.8616i | 0.149775 | + | 1.22113i | ||||
\(599\) | 16.9631i | 0.693092i | 0.938033 | + | 0.346546i | \(0.112646\pi\) | ||||
−0.938033 | + | 0.346546i | \(0.887354\pi\) | |||||||
\(600\) | −1.51967 | + | 1.21693i | −0.0620402 | + | 0.0496811i | ||||
\(601\) | 34.0905 | 1.39058 | 0.695290 | − | 0.718729i | \(-0.255276\pi\) | ||||
0.695290 | + | 0.718729i | \(0.255276\pi\) | |||||||
\(602\) | −1.13670 | − | 0.713166i | −0.0463284 | − | 0.0290665i | ||||
\(603\) | 1.81356 | − | 1.81356i | 0.0738539 | − | 0.0738539i | ||||
\(604\) | 8.98644 | + | 3.13089i | 0.365653 | + | 0.127394i | ||||
\(605\) | −1.70772 | + | 1.70772i | −0.0694288 | + | 0.0694288i | ||||
\(606\) | 14.0140 | − | 3.20854i | 0.569278 | − | 0.130338i | ||||
\(607\) | − | 5.96117i | − | 0.241956i | −0.992655 | − | 0.120978i | \(-0.961397\pi\) | ||
0.992655 | − | 0.120978i | \(-0.0386031\pi\) | |||||||
\(608\) | −1.56868 | − | 4.43500i | −0.0636186 | − | 0.179863i | ||||
\(609\) | 0.160109 | − | 0.160109i | 0.00648794 | − | 0.00648794i | ||||
\(610\) | −5.49542 | − | 3.44783i | −0.222503 | − | 0.139599i | ||||
\(611\) | −8.41769 | + | 6.84008i | −0.340543 | + | 0.276720i | ||||
\(612\) | 8.84052 | + | 18.2943i | 0.357357 | + | 0.739505i | ||||
\(613\) | 2.67366 | + | 2.67366i | 0.107988 | + | 0.107988i | 0.759036 | − | 0.651048i | \(-0.225670\pi\) |
−0.651048 | + | 0.759036i | \(0.725670\pi\) | |||||||
\(614\) | −21.9847 | − | 13.7932i | −0.887231 | − | 0.556650i | ||||
\(615\) | 19.1088 | 0.770540 | ||||||||
\(616\) | −0.643990 | − | 0.804194i | −0.0259471 | − | 0.0324019i | ||||
\(617\) | −3.11896 | − | 3.11896i | −0.125565 | − | 0.125565i | 0.641532 | − | 0.767096i | \(-0.278299\pi\) |
−0.767096 | + | 0.641532i | \(0.778299\pi\) | |||||||
\(618\) | 1.26989 | + | 5.54650i | 0.0510824 | + | 0.223113i | ||||
\(619\) | 16.6019 | + | 16.6019i | 0.667286 | + | 0.667286i | 0.957087 | − | 0.289801i | \(-0.0935892\pi\) |
−0.289801 | + | 0.957087i | \(0.593589\pi\) | |||||||
\(620\) | −8.16751 | + | 3.94685i | −0.328015 | + | 0.158509i | ||||
\(621\) | 25.9322i | 1.04062i | ||||||||
\(622\) | 21.7837 | − | 4.98745i | 0.873446 | − | 0.199978i | ||||
\(623\) | 0.514197 | 0.0206009 | ||||||||
\(624\) | 8.32985 | − | 8.52993i | 0.333461 | − | 0.341470i | ||||
\(625\) | 28.4699 | 1.13880 | ||||||||
\(626\) | −30.9433 | + | 7.08457i | −1.23674 | + | 0.283157i | ||||
\(627\) | 0.687467i | 0.0274548i | ||||||||
\(628\) | −25.2888 | + | 12.2205i | −1.00913 | + | 0.487652i | ||||
\(629\) | 12.9539 | + | 12.9539i | 0.516506 | + | 0.516506i | ||||
\(630\) | −0.643216 | − | 2.80938i | −0.0256264 | − | 0.111928i | ||||
\(631\) | 27.0805 | + | 27.0805i | 1.07806 | + | 1.07806i | 0.996684 | + | 0.0813725i | \(0.0259303\pi\) |
0.0813725 | + | 0.996684i | \(0.474070\pi\) | |||||||
\(632\) | 13.7816 | + | 17.2101i | 0.548204 | + | 0.684579i | ||||
\(633\) | −5.37141 | −0.213494 | ||||||||
\(634\) | −2.31540 | − | 1.45269i | −0.0919564 | − | 0.0576936i | ||||
\(635\) | −21.0032 | − | 21.0032i | −0.833488 | − | 0.833488i | ||||
\(636\) | 2.36420 | + | 4.89242i | 0.0937467 | + | 0.193997i | ||||
\(637\) | 24.6292 | + | 2.54659i | 0.975843 | + | 0.100900i | ||||
\(638\) | −0.900805 | − | 0.565166i | −0.0356632 | − | 0.0223751i | ||||
\(639\) | −5.27960 | + | 5.27960i | −0.208858 | + | 0.208858i | ||||
\(640\) | −19.2292 | + | 19.4117i | −0.760102 | + | 0.767315i | ||||
\(641\) | 20.7531i | 0.819698i | 0.912153 | + | 0.409849i | \(0.134419\pi\) | ||||
−0.912153 | + | 0.409849i | \(0.865581\pi\) | |||||||
\(642\) | −11.8292 | + | 2.70834i | −0.466863 | + | 0.106890i | ||||
\(643\) | 16.0039 | − | 16.0039i | 0.631130 | − | 0.631130i | −0.317221 | − | 0.948352i | \(-0.602750\pi\) |
0.948352 | + | 0.317221i | \(0.102750\pi\) | |||||||
\(644\) | −4.05907 | − | 1.41419i | −0.159950 | − | 0.0557268i | ||||
\(645\) | 3.67750 | − | 3.67750i | 0.144801 | − | 0.144801i | ||||
\(646\) | 4.36882 | + | 2.74100i | 0.171889 | + | 0.107843i | ||||
\(647\) | 35.4566 | 1.39394 | 0.696971 | − | 0.717099i | \(-0.254531\pi\) | ||||
0.696971 | + | 0.717099i | \(0.254531\pi\) | |||||||
\(648\) | −7.32206 | + | 5.86343i | −0.287638 | + | 0.230337i | ||||
\(649\) | 14.8295i | 0.582109i | ||||||||
\(650\) | 4.21407 | − | 0.516865i | 0.165289 | − | 0.0202731i | ||||
\(651\) | 0.565510i | 0.0221641i | ||||||||
\(652\) | 14.4806 | + | 5.04507i | 0.567105 | + | 0.197580i | ||||
\(653\) | 45.7508 | 1.79037 | 0.895183 | − | 0.445699i | \(-0.147045\pi\) | ||||
0.895183 | + | 0.445699i | \(0.147045\pi\) | |||||||
\(654\) | 11.8808 | − | 18.9365i | 0.464575 | − | 0.740476i | ||||
\(655\) | 10.8246 | − | 10.8246i | 0.422950 | − | 0.422950i | ||||
\(656\) | 38.0322 | − | 4.38915i | 1.48491 | − | 0.171368i | ||||
\(657\) | −10.3101 | + | 10.3101i | −0.402234 | + | 0.402234i | ||||
\(658\) | −0.345848 | − | 1.51056i | −0.0134826 | − | 0.0588879i | ||||
\(659\) | − | 40.9836i | − | 1.59649i | −0.602330 | − | 0.798247i | \(-0.705761\pi\) | ||
0.602330 | − | 0.798247i | \(-0.294239\pi\) | |||||||
\(660\) | 3.59522 | − | 1.73735i | 0.139944 | − | 0.0676261i | ||||
\(661\) | −24.1887 | + | 24.1887i | −0.940832 | + | 0.940832i | −0.998345 | − | 0.0575124i | \(-0.981683\pi\) |
0.0575124 | + | 0.998345i | \(0.481683\pi\) | |||||||
\(662\) | −25.8351 | + | 41.1779i | −1.00411 | + | 1.60042i | ||||
\(663\) | −1.34436 | + | 13.0019i | −0.0522106 | + | 0.504951i | ||||
\(664\) | −4.52638 | + | 40.9168i | −0.175658 | + | 1.58788i | ||||
\(665\) | −0.517295 | − | 0.517295i | −0.0200598 | − | 0.0200598i | ||||
\(666\) | −7.27356 | + | 11.5932i | −0.281845 | + | 0.449226i | ||||
\(667\) | −4.43669 | −0.171789 | ||||||||
\(668\) | −31.8510 | − | 11.0969i | −1.23235 | − | 0.429353i | ||||
\(669\) | 4.02831 | + | 4.02831i | 0.155743 | + | 0.155743i | ||||
\(670\) | −3.68594 | + | 0.843908i | −0.142400 | + | 0.0326030i | ||||
\(671\) | 1.34311 | + | 1.34311i | 0.0518503 | + | 0.0518503i | ||||
\(672\) | 0.568016 | + | 1.60590i | 0.0219117 | + | 0.0619489i | ||||
\(673\) | 11.0195i | 0.424770i | 0.977186 | + | 0.212385i | \(0.0681230\pi\) | ||||
−0.977186 | + | 0.212385i | \(0.931877\pi\) | |||||||
\(674\) | 4.58814 | + | 20.0396i | 0.176729 | + | 0.771898i | ||||
\(675\) | 3.65955 | 0.140856 | ||||||||
\(676\) | −25.2293 | + | 6.28340i | −0.970359 | + | 0.241669i | ||||
\(677\) | −40.8203 | −1.56885 | −0.784427 | − | 0.620222i | \(-0.787043\pi\) | ||||
−0.784427 | + | 0.620222i | \(0.787043\pi\) | |||||||
\(678\) | −0.633091 | − | 2.76515i | −0.0243137 | − | 0.106195i | ||||
\(679\) | 0.370692i | 0.0142258i | ||||||||
\(680\) | 3.29377 | − | 29.7745i | 0.126310 | − | 1.14180i | ||||
\(681\) | 8.80609 | + | 8.80609i | 0.337450 | + | 0.337450i | ||||
\(682\) | 2.58893 | − | 0.592744i | 0.0991353 | − | 0.0226974i | ||||
\(683\) | −26.5783 | − | 26.5783i | −1.01699 | − | 1.01699i | −0.999853 | − | 0.0171379i | \(-0.994545\pi\) |
−0.0171379 | − | 0.999853i | \(-0.505455\pi\) | |||||||
\(684\) | −1.26765 | + | 3.63849i | −0.0484700 | + | 0.139121i | ||||
\(685\) | 30.3501 | 1.15962 | ||||||||
\(686\) | −3.79650 | + | 6.05116i | −0.144951 | + | 0.231034i | ||||
\(687\) | −2.52294 | − | 2.52294i | −0.0962561 | − | 0.0962561i | ||||
\(688\) | 6.47463 | − | 8.16403i | 0.246843 | − | 0.311251i | ||||
\(689\) | 1.21872 | − | 11.7867i | 0.0464294 | − | 0.449038i | ||||
\(690\) | 8.85367 | − | 14.1117i | 0.337054 | − | 0.537222i | ||||
\(691\) | −15.4102 | + | 15.4102i | −0.586231 | + | 0.586231i | −0.936608 | − | 0.350378i | \(-0.886053\pi\) |
0.350378 | + | 0.936608i | \(0.386053\pi\) | |||||||
\(692\) | 12.5567 | + | 25.9845i | 0.477334 | + | 0.987784i | ||||
\(693\) | 0.843834i | 0.0320546i | ||||||||
\(694\) | 6.25115 | + | 27.3032i | 0.237291 | + | 1.03641i | ||||
\(695\) | 32.5486 | − | 32.5486i | 1.23464 | − | 1.23464i | ||||
\(696\) | 1.09900 | + | 1.37240i | 0.0416577 | + | 0.0520208i | ||||
\(697\) | −29.6795 | + | 29.6795i | −1.12419 | + | 1.12419i | ||||
\(698\) | −25.4371 | + | 40.5436i | −0.962809 | + | 1.53460i | ||||
\(699\) | −19.1799 | −0.725451 | ||||||||
\(700\) | −0.199570 | + | 0.572816i | −0.00754303 | + | 0.0216504i | ||||
\(701\) | − | 20.8659i | − | 0.788095i | −0.919090 | − | 0.394047i | \(-0.871075\pi\) | ||
0.919090 | − | 0.394047i | \(-0.128925\pi\) | |||||||
\(702\) | −22.2441 | + | 2.72829i | −0.839549 | + | 0.102973i | ||||
\(703\) | 3.47396i | 0.131023i | ||||||||
\(704\) | 6.75651 | − | 4.28364i | 0.254646 | − | 0.161446i | ||||
\(705\) | 6.00595 | 0.226197 | ||||||||
\(706\) | 15.2569 | + | 9.57221i | 0.574202 | + | 0.360255i | ||||
\(707\) | 3.16734 | − | 3.16734i | 0.119120 | − | 0.119120i | ||||
\(708\) | 8.06668 | − | 23.1534i | 0.303165 | − | 0.870159i | ||||
\(709\) | 9.12468 | − | 9.12468i | 0.342685 | − | 0.342685i | −0.514691 | − | 0.857376i | \(-0.672093\pi\) |
0.857376 | + | 0.514691i | \(0.172093\pi\) | |||||||
\(710\) | 10.7304 | − | 2.45677i | 0.402706 | − | 0.0922008i | ||||
\(711\) | − | 18.0584i | − | 0.677242i | ||||||
\(712\) | −0.439013 | + | 3.96852i | −0.0164527 | + | 0.148727i | ||||
\(713\) | 7.83527 | − | 7.83527i | 0.293433 | − | 0.293433i | ||||
\(714\) | −1.58194 | − | 0.992509i | −0.0592025 | − | 0.0371437i | ||||
\(715\) | −8.66154 | − | 0.895581i | −0.323923 | − | 0.0334928i | ||||
\(716\) | −22.7600 | + | 10.9985i | −0.850580 | + | 0.411032i | ||||
\(717\) | 11.5320 | + | 11.5320i | 0.430672 | + | 0.430672i | ||||
\(718\) | −34.7951 | − | 21.8305i | −1.29854 | − | 0.814706i | ||||
\(719\) | −8.56332 | −0.319358 | −0.159679 | − | 0.987169i | \(-0.551046\pi\) | ||||
−0.159679 | + | 0.987169i | \(0.551046\pi\) | |||||||
\(720\) | 22.2316 | − | 2.56567i | 0.828525 | − | 0.0956170i | ||||
\(721\) | 1.25358 | + | 1.25358i | 0.0466858 | + | 0.0466858i | ||||
\(722\) | −5.77855 | − | 25.2390i | −0.215055 | − | 0.939298i | ||||
\(723\) | 11.6411 | + | 11.6411i | 0.432939 | + | 0.432939i | ||||
\(724\) | −10.4717 | − | 21.6699i | −0.389179 | − | 0.805357i | ||||
\(725\) | 0.626105i | 0.0232529i | ||||||||
\(726\) | −1.13961 | + | 0.260917i | −0.0422949 | + | 0.00968355i | ||||
\(727\) | 21.9033 | 0.812349 | 0.406174 | − | 0.913796i | \(-0.366863\pi\) | ||||
0.406174 | + | 0.913796i | \(0.366863\pi\) | |||||||
\(728\) | 0.786010 | − | 3.63057i | 0.0291315 | − | 0.134558i | ||||
\(729\) | −3.21704 | −0.119150 | ||||||||
\(730\) | 20.9545 | − | 4.79760i | 0.775561 | − | 0.177567i | ||||
\(731\) | 11.4237i | 0.422521i | ||||||||
\(732\) | −1.36641 | − | 2.82761i | −0.0505040 | − | 0.104512i | ||||
\(733\) | 3.34555 | + | 3.34555i | 0.123571 | + | 0.123571i | 0.766188 | − | 0.642617i | \(-0.222151\pi\) |
−0.642617 | + | 0.766188i | \(0.722151\pi\) | |||||||
\(734\) | 6.69003 | + | 29.2201i | 0.246933 | + | 1.07853i | ||||
\(735\) | −9.69484 | − | 9.69484i | −0.357599 | − | 0.357599i | ||||
\(736\) | 14.3801 | − | 30.1201i | 0.530058 | − | 1.11024i | ||||
\(737\) | 1.10712 | 0.0407813 | ||||||||
\(738\) | −26.5618 | − | 16.6649i | −0.977753 | − | 0.613443i | ||||
\(739\) | 30.5888 | + | 30.5888i | 1.12523 | + | 1.12523i | 0.990943 | + | 0.134283i | \(0.0428730\pi\) |
0.134283 | + | 0.990943i | \(0.457127\pi\) | |||||||
\(740\) | 18.1676 | − | 8.77928i | 0.667855 | − | 0.322733i | ||||
\(741\) | −1.92367 | + | 1.56314i | −0.0706679 | + | 0.0574235i | ||||
\(742\) | 1.43409 | + | 0.899750i | 0.0526471 | + | 0.0330309i | ||||
\(743\) | 21.2615 | − | 21.2615i | 0.780010 | − | 0.780010i | −0.199822 | − | 0.979832i | \(-0.564036\pi\) |
0.979832 | + | 0.199822i | \(0.0640364\pi\) | |||||||
\(744\) | −4.36455 | − | 0.482824i | −0.160012 | − | 0.0177012i | ||||
\(745\) | − | 20.1158i | − | 0.736987i | ||||||
\(746\) | −11.1473 | + | 2.55220i | −0.408130 | + | 0.0934427i | ||||
\(747\) | 23.8416 | − | 23.8416i | 0.872318 | − | 0.872318i | ||||
\(748\) | −2.88563 | + | 8.28248i | −0.105509 | + | 0.302837i | ||||
\(749\) | −2.67356 | + | 2.67356i | −0.0976899 | + | 0.0976899i | ||||
\(750\) | 9.96713 | + | 6.25339i | 0.363948 | + | 0.228342i | ||||
\(751\) | 11.7647 | 0.429300 | 0.214650 | − | 0.976691i | \(-0.431139\pi\) | ||||
0.214650 | + | 0.976691i | \(0.431139\pi\) | |||||||
\(752\) | 11.9536 | − | 1.37953i | 0.435905 | − | 0.0503062i | ||||
\(753\) | 6.73061i | 0.245277i | ||||||||
\(754\) | −0.466778 | − | 3.80570i | −0.0169990 | − | 0.138595i | ||||
\(755\) | 11.4913i | 0.418210i | ||||||||
\(756\) | 1.05344 | − | 3.02363i | 0.0383131 | − | 0.109968i | ||||
\(757\) | 44.8181 | 1.62894 | 0.814471 | − | 0.580204i | \(-0.197027\pi\) | ||||
0.814471 | + | 0.580204i | \(0.197027\pi\) | |||||||
\(758\) | 3.36578 | − | 5.36463i | 0.122251 | − | 0.194852i | ||||
\(759\) | −3.44897 | + | 3.44897i | −0.125190 | + | 0.125190i | ||||
\(760\) | 4.43409 | − | 3.55077i | 0.160841 | − | 0.128800i | ||||
\(761\) | 6.86791 | − | 6.86791i | 0.248961 | − | 0.248961i | −0.571583 | − | 0.820544i | \(-0.693670\pi\) |
0.820544 | + | 0.571583i | \(0.193670\pi\) | |||||||
\(762\) | −3.20902 | − | 14.0160i | −0.116250 | − | 0.507747i | ||||
\(763\) | − | 6.96511i | − | 0.252154i | ||||||
\(764\) | 19.2523 | + | 39.8402i | 0.696523 | + | 1.44137i | ||||
\(765\) | −17.3491 | + | 17.3491i | −0.627258 | + | 0.627258i | ||||
\(766\) | 25.8017 | − | 41.1247i | 0.932252 | − | 1.48589i | ||||
\(767\) | −41.4960 | + | 33.7189i | −1.49833 | + | 1.21752i | ||||
\(768\) | −12.8791 | + | 3.01279i | −0.464736 | + | 0.108715i | ||||
\(769\) | −27.1574 | − | 27.1574i | −0.979320 | − | 0.979320i | 0.0204706 | − | 0.999790i | \(-0.493484\pi\) |
−0.999790 | + | 0.0204706i | \(0.993484\pi\) | |||||||
\(770\) | 0.661186 | − | 1.05385i | 0.0238275 | − | 0.0379781i | ||||
\(771\) | 2.56769 | 0.0924732 | ||||||||
\(772\) | 2.59204 | − | 7.43981i | 0.0932896 | − | 0.267765i | ||||
\(773\) | 5.21434 | + | 5.21434i | 0.187547 | + | 0.187547i | 0.794635 | − | 0.607088i | \(-0.207662\pi\) |
−0.607088 | + | 0.794635i | \(0.707662\pi\) | |||||||
\(774\) | −8.31902 | + | 1.90467i | −0.299021 | + | 0.0684618i | ||||
\(775\) | −1.10571 | − | 1.10571i | −0.0397183 | − | 0.0397183i | ||||
\(776\) | −2.86096 | − | 0.316491i | −0.102702 | − | 0.0113614i | ||||
\(777\) | − | 1.25791i | − | 0.0451272i | ||||||
\(778\) | −2.12211 | − | 9.26876i | −0.0760815 | − | 0.332301i | ||||
\(779\) | −7.95940 | −0.285175 | ||||||||
\(780\) | 13.0362 | + | 6.10983i | 0.466770 | + | 0.218767i | ||||
\(781\) | −3.22303 | −0.115329 | ||||||||
\(782\) | 8.16665 | + | 35.6695i | 0.292039 | + | 1.27554i | ||||
\(783\) | − | 3.30491i | − | 0.118108i | ||||||
\(784\) | −21.5225 | − | 17.0688i | −0.768660 | − | 0.609600i | ||||
\(785\) | −23.9822 | − | 23.9822i | −0.855961 | − | 0.855961i | ||||
\(786\) | 7.22352 | − | 1.65385i | 0.257654 | − | 0.0589908i | ||||
\(787\) | 16.7084 | + | 16.7084i | 0.595591 | + | 0.595591i | 0.939136 | − | 0.343545i | \(-0.111628\pi\) |
−0.343545 | + | 0.939136i | \(0.611628\pi\) | |||||||
\(788\) | −32.7657 | − | 11.4156i | −1.16723 | − | 0.406664i | ||||
\(789\) | 11.5622 | 0.411627 | ||||||||
\(790\) | −14.1496 | + | 22.5528i | −0.503422 | + | 0.802392i | ||||
\(791\) | −0.624961 | − | 0.624961i | −0.0222211 | − | 0.0222211i | ||||
\(792\) | −6.51262 | − | 0.720452i | −0.231416 | − | 0.0256002i | ||||
\(793\) | −0.704368 | + | 6.81224i | −0.0250128 | + | 0.241910i | ||||
\(794\) | 19.7177 | − | 31.4275i | 0.699754 | − | 1.11532i | ||||
\(795\) | −4.63964 | + | 4.63964i | −0.164551 | + | 0.164551i | ||||
\(796\) | 38.7963 | − | 18.7478i | 1.37510 | − | 0.664499i | ||||
\(797\) | 16.4037i | 0.581050i | 0.956867 | + | 0.290525i | \(0.0938299\pi\) | ||||
−0.956867 | + | 0.290525i | \(0.906170\pi\) | |||||||
\(798\) | −0.0790358 | − | 0.345205i | −0.00279784 | − | 0.0122201i | ||||
\(799\) | −9.32837 | + | 9.32837i | −0.330014 | + | 0.330014i | ||||
\(800\) | −4.25054 | − | 2.02932i | −0.150279 | − | 0.0717473i | ||||
\(801\) | 2.31239 | − | 2.31239i | 0.0817044 | − | 0.0817044i | ||||
\(802\) | 13.0624 | − | 20.8199i | 0.461250 | − | 0.735176i | ||||
\(803\) | −6.29396 | −0.222109 | ||||||||
\(804\) | −1.72856 | − | 0.602231i | −0.0609615 | − | 0.0212391i | ||||
\(805\) | − | 5.19047i | − | 0.182940i | ||||||
\(806\) | 7.54527 | + | 5.89659i | 0.265771 | + | 0.207699i | ||||
\(807\) | − | 15.2078i | − | 0.535338i | ||||||
\(808\) | 21.7410 | + | 27.1494i | 0.764844 | + | 0.955113i | ||||
\(809\) | 39.4727 | 1.38779 | 0.693894 | − | 0.720078i | \(-0.255894\pi\) | ||||
0.693894 | + | 0.720078i | \(0.255894\pi\) | |||||||
\(810\) | −9.59513 | − | 6.01999i | −0.337138 | − | 0.211521i | ||||
\(811\) | −22.6232 | + | 22.6232i | −0.794407 | + | 0.794407i | −0.982207 | − | 0.187800i | \(-0.939864\pi\) |
0.187800 | + | 0.982207i | \(0.439864\pi\) | |||||||
\(812\) | 0.517306 | + | 0.180230i | 0.0181539 | + | 0.00632484i | ||||
\(813\) | −0.478535 | + | 0.478535i | −0.0167830 | + | 0.0167830i | ||||
\(814\) | −5.75876 | + | 1.31849i | −0.201844 | + | 0.0462130i | ||||
\(815\) | 18.5169i | 0.648617i | ||||||||
\(816\) | 9.01071 | − | 11.3618i | 0.315438 | − | 0.397744i | ||||
\(817\) | −1.53179 | + | 1.53179i | −0.0535907 | + | 0.0535907i | ||||
\(818\) | 19.7465 | + | 12.3890i | 0.690420 | + | 0.433170i | ||||
\(819\) | −2.36122 | + | 1.91869i | −0.0825077 | + | 0.0670444i | ||||
\(820\) | 20.1148 | + | 41.6250i | 0.702438 | + | 1.45361i | ||||
\(821\) | −18.1311 | − | 18.1311i | −0.632781 | − | 0.632781i | 0.315984 | − | 0.948765i | \(-0.397666\pi\) |
−0.948765 | + | 0.315984i | \(0.897666\pi\) | |||||||
\(822\) | 12.4453 | + | 7.80818i | 0.434079 | + | 0.272341i | ||||
\(823\) | 6.89755 | 0.240433 | 0.120217 | − | 0.992748i | \(-0.461641\pi\) | ||||
0.120217 | + | 0.992748i | \(0.461641\pi\) | |||||||
\(824\) | −10.7453 | + | 8.60472i | −0.374330 | + | 0.299760i | ||||
\(825\) | 0.486718 | + | 0.486718i | 0.0169454 | + | 0.0169454i | ||||
\(826\) | −1.70490 | − | 7.44650i | −0.0593210 | − | 0.259097i | ||||
\(827\) | −20.3339 | − | 20.3339i | −0.707078 | − | 0.707078i | 0.258842 | − | 0.965920i | \(-0.416659\pi\) |
−0.965920 | + | 0.258842i | \(0.916659\pi\) | |||||||
\(828\) | −24.6138 | + | 11.8943i | −0.855388 | + | 0.413356i | ||||
\(829\) | − | 41.3831i | − | 1.43730i | −0.695374 | − | 0.718648i | \(-0.744761\pi\) | ||
0.695374 | − | 0.718648i | \(-0.255239\pi\) | |||||||
\(830\) | −48.4564 | + | 11.0942i | −1.68195 | + | 0.385087i | ||||
\(831\) | 10.0144 | 0.347395 | ||||||||
\(832\) | 27.3493 | + | 9.16607i | 0.948166 | + | 0.317776i | ||||
\(833\) | 30.1158 | 1.04345 | ||||||||
\(834\) | 21.7206 | − | 4.97299i | 0.752121 | − | 0.172201i | ||||
\(835\) | − | 40.7289i | − | 1.40948i | ||||||
\(836\) | −1.49752 | + | 0.723659i | −0.0517929 | + | 0.0250283i | ||||
\(837\) | 5.83653 | + | 5.83653i | 0.201740 | + | 0.201740i | ||||
\(838\) | 9.44905 | + | 41.2707i | 0.326412 | + | 1.42567i | ||||
\(839\) | −16.6786 | − | 16.6786i | −0.575810 | − | 0.575810i | 0.357936 | − | 0.933746i | \(-0.383481\pi\) |
−0.933746 | + | 0.357936i | \(0.883481\pi\) | |||||||
\(840\) | −1.60557 | + | 1.28572i | −0.0553974 | + | 0.0443616i | ||||
\(841\) | −28.4346 | −0.980502 | ||||||||
\(842\) | −27.7708 | − | 17.4234i | −0.957044 | − | 0.600451i | ||||
\(843\) | −4.11098 | − | 4.11098i | −0.141590 | − | 0.141590i | ||||
\(844\) | −5.65419 | − | 11.7006i | −0.194625 | − | 0.402752i | ||||
\(845\) | −17.1884 | − | 26.2731i | −0.591298 | − | 0.903822i | ||||
\(846\) | −8.34846 | − | 5.23783i | −0.287026 | − | 0.180080i | ||||
\(847\) | −0.257567 | + | 0.257567i | −0.00885010 | + | 0.00885010i | ||||
\(848\) | −8.16858 | + | 10.3000i | −0.280510 | + | 0.353702i | ||||
\(849\) | 10.4293i | 0.357934i | ||||||||
\(850\) | 5.03367 | − | 1.15248i | 0.172654 | − | 0.0395296i | ||||
\(851\) | −17.4286 | + | 17.4286i | −0.597445 | + | 0.597445i | ||||
\(852\) | 5.03213 | + | 1.75320i | 0.172398 | + | 0.0600638i | ||||
\(853\) | 1.40801 | − | 1.40801i | 0.0482094 | − | 0.0482094i | −0.682591 | − | 0.730801i | \(-0.739147\pi\) |
0.730801 | + | 0.682591i | \(0.239147\pi\) | |||||||
\(854\) | −0.828845 | − | 0.520018i | −0.0283625 | − | 0.0177947i | ||||
\(855\) | −4.65265 | −0.159117 | ||||||||
\(856\) | −18.3516 | − | 22.9169i | −0.627246 | − | 0.783285i | ||||
\(857\) | 51.4307i | 1.75684i | 0.477889 | + | 0.878420i | \(0.341402\pi\) | ||||
−0.477889 | + | 0.878420i | \(0.658598\pi\) | |||||||
\(858\) | −3.32132 | − | 2.59559i | −0.113388 | − | 0.0886121i | ||||
\(859\) | 40.6227i | 1.38603i | 0.720924 | + | 0.693015i | \(0.243718\pi\) | ||||
−0.720924 | + | 0.693015i | \(0.756282\pi\) | |||||||
\(860\) | 11.8819 | + | 4.13966i | 0.405168 | + | 0.141161i | ||||
\(861\) | 2.88207 | 0.0982208 | ||||||||
\(862\) | 25.3002 | − | 40.3255i | 0.861729 | − | 1.37349i | ||||
\(863\) | −17.3327 | + | 17.3327i | −0.590011 | + | 0.590011i | −0.937634 | − | 0.347624i | \(-0.886989\pi\) |
0.347624 | + | 0.937634i | \(0.386989\pi\) | |||||||
\(864\) | 22.4366 | + | 10.7118i | 0.763309 | + | 0.364424i | ||||
\(865\) | −24.6420 | + | 24.6420i | −0.837852 | + | 0.837852i | ||||
\(866\) | −5.47831 | − | 23.9276i | −0.186161 | − | 0.813094i | ||||
\(867\) | 1.84480i | 0.0626526i | ||||||||
\(868\) | −1.23186 | + | 0.595282i | −0.0418121 | + | 0.0202052i | ||||
\(869\) | 5.51203 | − | 5.51203i | 0.186983 | − | 0.186983i | ||||
\(870\) | −1.12835 | + | 1.79845i | −0.0382547 | + | 0.0609733i | ||||
\(871\) | 2.51734 | + | 3.09795i | 0.0852969 | + | 0.104970i | ||||
\(872\) | 53.7560 | + | 5.94670i | 1.82041 | + | 0.201381i | ||||
\(873\) | 1.66704 | + | 1.66704i | 0.0564206 | + | 0.0564206i | ||||
\(874\) | −3.68783 | + | 5.87795i | −0.124743 | + | 0.198825i | ||||
\(875\) | 3.66605 | 0.123935 | ||||||||
\(876\) | 9.82682 | + | 3.42368i | 0.332017 | + | 0.115675i | ||||
\(877\) | 3.23647 | + | 3.23647i | 0.109288 | + | 0.109288i | 0.759636 | − | 0.650348i | \(-0.225377\pi\) |
−0.650348 | + | 0.759636i | \(0.725377\pi\) | |||||||
\(878\) | −17.4759 | + | 4.00117i | −0.589784 | + | 0.135033i | ||||
\(879\) | −17.1492 | − | 17.1492i | −0.578430 | − | 0.578430i | ||||
\(880\) | 7.56899 | + | 6.00272i | 0.255150 | + | 0.202352i | ||||
\(881\) | − | 27.7323i | − | 0.934323i | −0.884172 | − | 0.467162i | \(-0.845277\pi\) | ||
0.884172 | − | 0.467162i | \(-0.154723\pi\) | |||||||
\(882\) | 5.02119 | + | 21.9311i | 0.169072 | + | 0.738458i | ||||
\(883\) | 26.2034 | 0.881816 | 0.440908 | − | 0.897552i | \(-0.354656\pi\) | ||||
0.440908 | + | 0.897552i | \(0.354656\pi\) | |||||||
\(884\) | −29.7373 | + | 10.7579i | −1.00018 | + | 0.361828i | ||||
\(885\) | 29.6070 | 0.995229 | ||||||||
\(886\) | 12.3811 | + | 54.0769i | 0.415951 | + | 1.81675i | ||||
\(887\) | − | 6.53706i | − | 0.219493i | −0.993960 | − | 0.109747i | \(-0.964996\pi\) | ||
0.993960 | − | 0.109747i | \(-0.0350039\pi\) | |||||||
\(888\) | 9.70841 | + | 1.07398i | 0.325793 | + | 0.0360405i | ||||
\(889\) | −3.16781 | − | 3.16781i | −0.106245 | − | 0.106245i | ||||
\(890\) | −4.69978 | + | 1.07603i | −0.157537 | + | 0.0360686i | ||||
\(891\) | 2.34510 | + | 2.34510i | 0.0785640 | + | 0.0785640i | ||||
\(892\) | −4.53456 | + | 13.0153i | −0.151828 | + | 0.435785i | ||||
\(893\) | −2.50167 | −0.0837151 | ||||||||
\(894\) | 5.17520 | − | 8.24864i | 0.173085 | − | 0.275876i | ||||
\(895\) | −21.5840 | − | 21.5840i | −0.721474 | − | 0.721474i | ||||
\(896\) | −2.90024 | + | 2.92776i | −0.0968903 | + | 0.0978097i | ||||
\(897\) | −17.4931 | − | 1.80874i | −0.584078 | − | 0.0603922i | ||||
\(898\) | −1.96421 | + | 3.13070i | −0.0655464 | + | 0.104473i | ||||
\(899\) | −0.998561 | + | 0.998561i | −0.0333039 | + | 0.0333039i | ||||
\(900\) | 1.67852 | + | 3.47349i | 0.0559507 | + | 0.115783i | ||||
\(901\) | − | 14.4125i | − | 0.480149i | ||||||
\(902\) | −3.02087 | − | 13.1943i | −0.100584 | − | 0.439321i | ||||
\(903\) | 0.554658 | − | 0.554658i | 0.0184579 | − | 0.0184579i | ||||
\(904\) | 5.35697 | − | 4.28980i | 0.178170 | − | 0.142677i | ||||
\(905\) | 20.5503 | − | 20.5503i | 0.683115 | − | 0.683115i | ||||
\(906\) | −2.95636 | + | 4.71207i | −0.0982184 | + | 0.156548i | ||||
\(907\) | 8.78569 | 0.291724 | 0.145862 | − | 0.989305i | \(-0.453404\pi\) | ||||
0.145862 | + | 0.989305i | \(0.453404\pi\) | |||||||
\(908\) | −9.91278 | + | 28.4522i | −0.328967 | + | 0.944219i | ||||
\(909\) | − | 28.4877i | − | 0.944876i | ||||||
\(910\) | 4.45227 | − | 0.546082i | 0.147591 | − | 0.0181024i | ||||
\(911\) | 0.370636i | 0.0122797i | 0.999981 | + | 0.00613986i | \(0.00195439\pi\) | ||||
−0.999981 | + | 0.00613986i | \(0.998046\pi\) | |||||||
\(912\) | 2.73174 | − | 0.315260i | 0.0904568 | − | 0.0104393i | ||||
\(913\) | 14.5545 | 0.481684 | ||||||||
\(914\) | 16.1202 | + | 10.1138i | 0.533208 | + | 0.334536i | ||||
\(915\) | 2.68152 | − | 2.68152i | 0.0886483 | − | 0.0886483i | ||||
\(916\) | 2.84000 | − | 8.15152i | 0.0938363 | − | 0.269334i | ||||
\(917\) | 1.63261 | − | 1.63261i | 0.0539135 | − | 0.0539135i | ||||
\(918\) | −26.5704 | + | 6.08338i | −0.876954 | + | 0.200782i | ||||
\(919\) | − | 3.75729i | − | 0.123942i | −0.998078 | − | 0.0619708i | \(-0.980261\pi\) | ||
0.998078 | − | 0.0619708i | \(-0.0197386\pi\) | |||||||
\(920\) | 40.0595 | + | 4.43154i | 1.32072 | + | 0.146104i | ||||
\(921\) | 10.7275 | − | 10.7275i | 0.353485 | − | 0.353485i | ||||
\(922\) | 42.4820 | + | 26.6533i | 1.39907 | + | 0.877779i | ||||
\(923\) | −7.32843 | − | 9.01868i | −0.241218 | − | 0.296854i | ||||
\(924\) | 0.542248 | − | 0.262035i | 0.0178386 | − | 0.00862030i | ||||
\(925\) | 2.45952 | + | 2.45952i | 0.0808686 | + | 0.0808686i | ||||
\(926\) | 40.1415 | + | 25.1848i | 1.31913 | + | 0.827624i | ||||
\(927\) | 11.2750 | 0.370318 | ||||||||
\(928\) | −1.83267 | + | 3.83864i | −0.0601602 | + | 0.126009i | ||||
\(929\) | −8.55615 | − | 8.55615i | −0.280718 | − | 0.280718i | 0.552677 | − | 0.833395i | \(-0.313606\pi\) |
−0.833395 | + | 0.552677i | \(0.813606\pi\) | |||||||
\(930\) | −1.18341 | − | 5.16879i | −0.0388056 | − | 0.169491i | ||||
\(931\) | 4.03820 | + | 4.03820i | 0.132347 | + | 0.132347i | ||||
\(932\) | −20.1897 | − | 41.7800i | −0.661335 | − | 1.36855i | ||||
\(933\) | 13.0631i | 0.427667i | ||||||||
\(934\) | 39.7569 | − | 9.10248i | 1.30089 | − | 0.297842i | ||||
\(935\) | −10.5911 | −0.346365 | ||||||||
\(936\) | −12.7923 | − | 19.8618i | −0.418128 | − | 0.649203i | ||||
\(937\) | 10.9522 | 0.357794 | 0.178897 | − | 0.983868i | \(-0.442747\pi\) | ||||
0.178897 | + | 0.983868i | \(0.442747\pi\) | |||||||
\(938\) | −0.555930 | + | 0.127282i | −0.0181518 | + | 0.00415591i | ||||
\(939\) | − | 18.5559i | − | 0.605549i | ||||||
\(940\) | 6.32214 | + | 13.0829i | 0.206205 | + | 0.426716i | ||||
\(941\) | 22.8683 | + | 22.8683i | 0.745485 | + | 0.745485i | 0.973628 | − | 0.228143i | \(-0.0732654\pi\) |
−0.228143 | + | 0.973628i | \(0.573265\pi\) | |||||||
\(942\) | −3.66416 | − | 16.0040i | −0.119385 | − | 0.521437i | ||||
\(943\) | −39.9317 | − | 39.9317i | −1.30036 | − | 1.30036i | ||||
\(944\) | 58.9269 | − | 6.80054i | 1.91791 | − | 0.221339i | ||||
\(945\) | 3.86641 | 0.125774 | ||||||||
\(946\) | −3.12062 | − | 1.95788i | −0.101460 | − | 0.0636561i | ||||
\(947\) | 27.8037 | + | 27.8037i | 0.903500 | + | 0.903500i | 0.995737 | − | 0.0922371i | \(-0.0294018\pi\) |
−0.0922371 | + | 0.995737i | \(0.529402\pi\) | |||||||
\(948\) | −11.6043 | + | 5.60764i | −0.376890 | + | 0.182128i | ||||
\(949\) | −14.3111 | − | 17.6118i | −0.464557 | − | 0.571703i | ||||
\(950\) | 0.829495 | + | 0.520426i | 0.0269124 | + | 0.0168849i | ||||
\(951\) | 1.12981 | − | 1.12981i | 0.0366367 | − | 0.0366367i | ||||
\(952\) | 0.496782 | − | 4.49072i | 0.0161008 | − | 0.145545i | ||||
\(953\) | − | 8.27899i | − | 0.268183i | −0.990969 | − | 0.134091i | \(-0.957188\pi\) | ||
0.990969 | − | 0.134091i | \(-0.0428116\pi\) | |||||||
\(954\) | 10.4955 | − | 2.40298i | 0.339805 | − | 0.0777994i | ||||
\(955\) | −37.7817 | + | 37.7817i | −1.22259 | + | 1.22259i | ||||
\(956\) | −12.9813 | + | 37.2596i | −0.419846 | + | 1.20506i | ||||
\(957\) | 0.439552 | − | 0.439552i | 0.0142087 | − | 0.0142087i | ||||
\(958\) | 6.49053 | + | 4.07217i | 0.209700 | + | 0.131566i | ||||
\(959\) | 4.57754 | 0.147817 | ||||||||
\(960\) | −8.55226 | − | 13.4893i | −0.276023 | − | 0.435367i | ||||
\(961\) | 27.4730i | 0.886227i | ||||||||
\(962\) | −16.7835 | − | 13.1162i | −0.541123 | − | 0.422885i | ||||
\(963\) | 24.0466i | 0.774889i | ||||||||
\(964\) | −13.1041 | + | 37.6121i | −0.422055 | + | 1.21140i | ||||
\(965\) | 9.51353 | 0.306251 | ||||||||
\(966\) | 1.33535 | − | 2.12839i | 0.0429643 | − | 0.0684797i | ||||
\(967\) | −8.35933 | + | 8.35933i | −0.268818 | + | 0.268818i | −0.828624 | − | 0.559806i | \(-0.810876\pi\) |
0.559806 | + | 0.828624i | \(0.310876\pi\) | |||||||
\(968\) | −1.76797 | − | 2.20778i | −0.0568246 | − | 0.0709607i | ||||
\(969\) | −2.13179 | + | 2.13179i | −0.0684829 | + | 0.0684829i | ||||
\(970\) | −0.775726 | − | 3.38814i | −0.0249070 | − | 0.108787i | ||||
\(971\) | 12.5987i | 0.404311i | 0.979353 | + | 0.202155i | \(0.0647946\pi\) | ||||
−0.979353 | + | 0.202155i | \(0.935205\pi\) | |||||||
\(972\) | −13.8596 | − | 28.6808i | −0.444548 | − | 0.919937i | ||||
\(973\) | 4.90913 | − | 4.90913i | 0.157380 | − | 0.157380i | ||||
\(974\) | 6.99685 | − | 11.1521i | 0.224193 | − | 0.357337i | ||||
\(975\) | −0.255249 | + | 2.46863i | −0.00817452 | + | 0.0790593i | ||||
\(976\) | 4.72110 | − | 5.95295i | 0.151119 | − | 0.190549i | ||||
\(977\) | −0.569682 | − | 0.569682i | −0.0182257 | − | 0.0182257i | 0.697935 | − | 0.716161i | \(-0.254102\pi\) |
−0.716161 | + | 0.697935i | \(0.754102\pi\) | |||||||
\(978\) | −4.76383 | + | 7.59296i | −0.152331 | + | 0.242796i | ||||
\(979\) | 1.41164 | 0.0451163 | ||||||||
\(980\) | 10.9132 | − | 31.3237i | 0.348610 | − | 1.00060i | ||||
\(981\) | −31.3228 | − | 31.3228i | −1.00006 | − | 1.00006i | ||||
\(982\) | −37.5271 | + | 8.59196i | −1.19754 | + | 0.274180i | ||||
\(983\) | −7.59786 | − | 7.59786i | −0.242334 | − | 0.242334i | 0.575481 | − | 0.817815i | \(-0.304815\pi\) |
−0.817815 | + | 0.575481i | \(0.804815\pi\) | |||||||
\(984\) | −2.46067 | + | 22.2435i | −0.0784432 | + | 0.709098i | ||||
\(985\) | − | 41.8985i | − | 1.33500i | ||||||
\(986\) | −1.04079 | − | 4.54588i | −0.0331456 | − | 0.144770i | ||||
\(987\) | 0.905845 | 0.0288334 | ||||||||
\(988\) | −5.42997 | − | 2.54493i | −0.172750 | − | 0.0809651i | ||||
\(989\) | −15.3698 | −0.488731 | ||||||||
\(990\) | −1.76584 | − | 7.71268i | −0.0561222 | − | 0.245125i | ||||
\(991\) | − | 23.8286i | − | 0.756940i | −0.925614 | − | 0.378470i | \(-0.876450\pi\) | ||
0.925614 | − | 0.378470i | \(-0.123550\pi\) | |||||||
\(992\) | −3.54258 | − | 10.0156i | −0.112477 | − | 0.317996i | ||||
\(993\) | −20.0930 | − | 20.0930i | −0.637631 | − | 0.637631i | ||||
\(994\) | 1.61841 | − | 0.370541i | 0.0513329 | − | 0.0117528i | ||||
\(995\) | 36.7917 | + | 36.7917i | 1.16638 | + | 1.16638i | ||||
\(996\) | −22.7241 | − | 7.91711i | −0.720040 | − | 0.250863i | ||||
\(997\) | −20.4734 | −0.648398 | −0.324199 | − | 0.945989i | \(-0.605095\pi\) | ||||
−0.324199 | + | 0.945989i | \(0.605095\pi\) | |||||||
\(998\) | −24.6205 | + | 39.2421i | −0.779349 | + | 1.24219i | ||||
\(999\) | −12.9827 | − | 12.9827i | −0.410753 | − | 0.410753i |
(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 | 572.2.j.a.463.5 | ✓ | 140 | |
4.3 | odd | 2 | inner | 572.2.j.a.463.40 | yes | 140 | |
13.5 | odd | 4 | inner | 572.2.j.a.551.40 | yes | 140 | |
52.31 | even | 4 | inner | 572.2.j.a.551.5 | yes | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.j.a.463.5 | ✓ | 140 | 1.1 | even | 1 | trivial | |
572.2.j.a.463.40 | yes | 140 | 4.3 | odd | 2 | inner | |
572.2.j.a.551.5 | yes | 140 | 52.31 | even | 4 | inner | |
572.2.j.a.551.40 | yes | 140 | 13.5 | odd | 4 | inner |