Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(46,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.j (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.4406832.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + 6x^{4} + 7x^{3} + 24x^{2} + 5x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 46.2 | ||
Root | \(-0.105378 + 0.182520i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 315.46 |
Dual form | 315.2.j.f.226.2 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.605378 | − | 1.04855i | −0.428067 | − | 0.741434i | 0.568635 | − | 0.822590i | \(-0.307472\pi\) |
−0.996701 | + | 0.0811568i | \(0.974139\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.267035 | − | 0.462518i | 0.133518 | − | 0.231259i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.16166 | − | 2.37709i | 0.439065 | − | 0.898455i | ||||
\(8\) | −3.06814 | −1.08475 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.605378 | + | 1.04855i | −0.191437 | + | 0.331579i | ||||
\(11\) | −0.127587 | + | 0.220987i | −0.0384689 | + | 0.0666301i | −0.884619 | − | 0.466315i | \(-0.845581\pi\) |
0.846150 | + | 0.532945i | \(0.178915\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.744826 | −0.206578 | −0.103289 | − | 0.994651i | \(-0.532937\pi\) | ||||
−0.103289 | + | 0.994651i | \(0.532937\pi\) | |||||||
\(14\) | −3.19573 | + | 0.220987i | −0.854094 | + | 0.0590613i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.32331 | + | 2.29205i | 0.330829 | + | 0.573012i | ||||
\(17\) | 0.605378 | − | 1.04855i | 0.146826 | − | 0.254310i | −0.783227 | − | 0.621736i | \(-0.786428\pi\) |
0.930053 | + | 0.367426i | \(0.119761\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.556279 | − | 0.963504i | −0.127619 | − | 0.221043i | 0.795135 | − | 0.606433i | \(-0.207400\pi\) |
−0.922754 | + | 0.385390i | \(0.874067\pi\) | |||||||
\(20\) | −0.534070 | −0.119422 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.308953 | 0.0658691 | ||||||||
\(23\) | −3.92869 | − | 6.80469i | −0.819189 | − | 1.41888i | −0.906281 | − | 0.422677i | \(-0.861091\pi\) |
0.0870916 | − | 0.996200i | \(-0.472243\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 0.450901 | + | 0.780984i | 0.0884290 | + | 0.153164i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.789244 | − | 1.17205i | −0.149153 | − | 0.221497i | ||||
\(29\) | 3.32331 | 0.617124 | 0.308562 | − | 0.951204i | \(-0.400152\pi\) | ||||
0.308562 | + | 0.951204i | \(0.400152\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.45558 | + | 5.98524i | −0.620641 | + | 1.07498i | 0.368726 | + | 0.929538i | \(0.379794\pi\) |
−0.989367 | + | 0.145443i | \(0.953539\pi\) | |||||||
\(32\) | −1.46593 | + | 2.53906i | −0.259142 | + | 0.448848i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.46593 | −0.251405 | ||||||||
\(35\) | −2.63945 | + | 0.182520i | −0.446148 | + | 0.0308515i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.63945 | − | 8.03576i | −0.762721 | − | 1.32107i | −0.941443 | − | 0.337171i | \(-0.890530\pi\) |
0.178723 | − | 0.983899i | \(-0.442803\pi\) | |||||||
\(38\) | −0.673518 | + | 1.16657i | −0.109259 | + | 0.189242i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.53407 | + | 2.65709i | 0.242558 | + | 0.420122i | ||||
\(41\) | 8.81297 | 1.37635 | 0.688177 | − | 0.725543i | \(-0.258411\pi\) | ||||
0.688177 | + | 0.725543i | \(0.258411\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.70041 | 0.869304 | 0.434652 | − | 0.900598i | \(-0.356871\pi\) | ||||
0.434652 | + | 0.900598i | \(0.356871\pi\) | |||||||
\(44\) | 0.0681404 | + | 0.118023i | 0.0102726 | + | 0.0177926i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.75669 | + | 8.23882i | −0.701335 | + | 1.21475i | ||||
\(47\) | 3.95558 | + | 6.85127i | 0.576981 | + | 0.999360i | 0.995823 | + | 0.0913013i | \(0.0291026\pi\) |
−0.418842 | + | 0.908059i | \(0.637564\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.30111 | − | 5.52273i | −0.614444 | − | 0.788961i | ||||
\(50\) | 1.21076 | 0.171227 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.198895 | + | 0.344496i | −0.0275817 | + | 0.0477730i | ||||
\(53\) | −1.21076 | + | 2.09709i | −0.166310 | + | 0.288058i | −0.937120 | − | 0.349008i | \(-0.886519\pi\) |
0.770810 | + | 0.637066i | \(0.219852\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.255174 | 0.0344076 | ||||||||
\(56\) | −3.56413 | + | 7.29324i | −0.476277 | + | 0.974601i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.01186 | − | 3.48465i | −0.264170 | − | 0.457556i | ||||
\(59\) | 5.94055 | − | 10.2893i | 0.773394 | − | 1.33956i | −0.162298 | − | 0.986742i | \(-0.551891\pi\) |
0.935693 | − | 0.352816i | \(-0.114776\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.47779 | + | 9.48781i | 0.701359 | + | 1.21479i | 0.967989 | + | 0.250991i | \(0.0807564\pi\) |
−0.266630 | + | 0.963799i | \(0.585910\pi\) | |||||||
\(62\) | 8.36773 | 1.06270 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.84302 | 1.10538 | ||||||||
\(65\) | 0.372413 | + | 0.645038i | 0.0461922 | + | 0.0800072i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.58317 | − | 7.93828i | 0.559923 | − | 0.969815i | −0.437579 | − | 0.899180i | \(-0.644164\pi\) |
0.997502 | − | 0.0706355i | \(-0.0225027\pi\) | |||||||
\(68\) | −0.323314 | − | 0.559997i | −0.0392076 | − | 0.0679096i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.78924 | + | 2.65709i | 0.213856 | + | 0.317583i | ||||
\(71\) | 10.5878 | 1.25655 | 0.628273 | − | 0.777993i | \(-0.283762\pi\) | ||||
0.628273 | + | 0.777993i | \(0.283762\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.217936 | − | 0.377477i | 0.0255075 | − | 0.0441803i | −0.852990 | − | 0.521927i | \(-0.825213\pi\) |
0.878497 | + | 0.477747i | \(0.158546\pi\) | |||||||
\(74\) | −5.61724 | + | 9.72934i | −0.652991 | + | 1.13101i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.594184 | −0.0681576 | ||||||||
\(77\) | 0.377094 | + | 0.559997i | 0.0429738 | + | 0.0638176i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.18855 | − | 2.05862i | −0.133722 | − | 0.231613i | 0.791387 | − | 0.611316i | \(-0.209360\pi\) |
−0.925109 | + | 0.379703i | \(0.876026\pi\) | |||||||
\(80\) | 1.32331 | − | 2.29205i | 0.147951 | − | 0.256259i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −5.33518 | − | 9.24080i | −0.589172 | − | 1.02048i | ||||
\(83\) | 10.2789 | 1.12826 | 0.564128 | − | 0.825688i | \(-0.309213\pi\) | ||||
0.564128 | + | 0.825688i | \(0.309213\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.21076 | −0.131325 | ||||||||
\(86\) | −3.45090 | − | 5.97714i | −0.372120 | − | 0.644531i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.391455 | − | 0.678019i | 0.0417292 | − | 0.0722771i | ||||
\(89\) | 7.08317 | + | 12.2684i | 0.750814 | + | 1.30045i | 0.947428 | + | 0.319968i | \(0.103672\pi\) |
−0.196614 | + | 0.980481i | \(0.562995\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.865233 | + | 1.77052i | −0.0907010 | + | 0.185601i | ||||
\(92\) | −4.19639 | −0.437504 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.78924 | − | 8.29521i | 0.493973 | − | 0.855586i | ||||
\(95\) | −0.556279 | + | 0.963504i | −0.0570730 | + | 0.0988534i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.44523 | 0.857484 | 0.428742 | − | 0.903427i | \(-0.358957\pi\) | ||||
0.428742 | + | 0.903427i | \(0.358957\pi\) | |||||||
\(98\) | −3.18703 | + | 7.85324i | −0.321939 | + | 0.793297i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.267035 | + | 0.462518i | 0.0267035 | + | 0.0462518i | ||||
\(101\) | −5.03875 | + | 8.72737i | −0.501374 | + | 0.868406i | 0.498624 | + | 0.866818i | \(0.333839\pi\) |
−0.999999 | + | 0.00158781i | \(0.999495\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.38427 | + | 4.12968i | 0.234930 | + | 0.406910i | 0.959252 | − | 0.282551i | \(-0.0911807\pi\) |
−0.724323 | + | 0.689461i | \(0.757847\pi\) | |||||||
\(104\) | 2.28523 | 0.224085 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.93186 | 0.284767 | ||||||||
\(107\) | −8.13945 | − | 14.0979i | −0.786870 | − | 1.36290i | −0.927875 | − | 0.372890i | \(-0.878367\pi\) |
0.141005 | − | 0.990009i | \(-0.454967\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.654477 | − | 1.13359i | 0.0626875 | − | 0.108578i | −0.832978 | − | 0.553306i | \(-0.813366\pi\) |
0.895666 | + | 0.444728i | \(0.146700\pi\) | |||||||
\(110\) | −0.154477 | − | 0.267561i | −0.0147288 | − | 0.0255110i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.98564 | − | 0.483063i | 0.660081 | − | 0.0456451i | ||||
\(113\) | 6.64663 | 0.625262 | 0.312631 | − | 0.949875i | \(-0.398790\pi\) | ||||
0.312631 | + | 0.949875i | \(0.398790\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.92869 | + | 6.80469i | −0.366352 | + | 0.634541i | ||||
\(116\) | 0.887442 | − | 1.53709i | 0.0823969 | − | 0.142716i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −14.3851 | −1.32426 | ||||||||
\(119\) | −1.78924 | − | 2.65709i | −0.164020 | − | 0.243575i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.46744 | + | 9.46989i | 0.497040 | + | 0.860899i | ||||
\(122\) | 6.63227 | − | 11.4874i | 0.600457 | − | 1.04002i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 1.84552 | + | 3.19654i | 0.165733 | + | 0.287058i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −6.09820 | −0.541128 | −0.270564 | − | 0.962702i | \(-0.587210\pi\) | ||||
−0.270564 | + | 0.962702i | \(0.587210\pi\) | |||||||
\(128\) | −2.42151 | − | 4.19418i | −0.214033 | − | 0.370717i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.450901 | − | 0.780984i | 0.0395467 | − | 0.0684968i | ||||
\(131\) | −10.6560 | − | 18.4567i | −0.931018 | − | 1.61257i | −0.781585 | − | 0.623799i | \(-0.785588\pi\) |
−0.149433 | − | 0.988772i | \(-0.547745\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.93654 | + | 0.203064i | −0.254630 | + | 0.0176079i | ||||
\(134\) | −11.0982 | −0.958738 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.85738 | + | 3.21708i | −0.159269 | + | 0.275863i | ||||
\(137\) | −7.62910 | + | 13.2140i | −0.651798 | + | 1.12895i | 0.330888 | + | 0.943670i | \(0.392652\pi\) |
−0.982686 | + | 0.185277i | \(0.940682\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.1807 | −1.03315 | −0.516577 | − | 0.856241i | \(-0.672794\pi\) | ||||
−0.516577 | + | 0.856241i | \(0.672794\pi\) | |||||||
\(140\) | −0.620406 | + | 1.26953i | −0.0524339 | + | 0.107295i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −6.40965 | − | 11.1018i | −0.537886 | − | 0.931646i | ||||
\(143\) | 0.0950301 | − | 0.164597i | 0.00794682 | − | 0.0137643i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.66166 | − | 2.87807i | −0.137993 | − | 0.239011i | ||||
\(146\) | −0.527735 | −0.0436757 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.95558 | −0.407346 | ||||||||
\(149\) | −8.48965 | − | 14.7045i | −0.695499 | − | 1.20464i | −0.970012 | − | 0.243057i | \(-0.921850\pi\) |
0.274513 | − | 0.961583i | \(-0.411483\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.590349 | + | 1.02252i | −0.0480420 | + | 0.0832111i | −0.889046 | − | 0.457817i | \(-0.848631\pi\) |
0.841004 | + | 0.541028i | \(0.181965\pi\) | |||||||
\(152\) | 1.70674 | + | 2.95617i | 0.138435 | + | 0.239777i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.358898 | − | 0.734410i | 0.0289208 | − | 0.0591804i | ||||
\(155\) | 6.91116 | 0.555118 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.85738 | + | 15.3414i | −0.706896 | + | 1.22438i | 0.259107 | + | 0.965849i | \(0.416572\pi\) |
−0.966003 | + | 0.258531i | \(0.916761\pi\) | |||||||
\(158\) | −1.43904 | + | 2.49249i | −0.114484 | + | 0.198292i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.93186 | 0.231784 | ||||||||
\(161\) | −20.7392 | + | 1.43413i | −1.63447 | + | 0.113025i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.74483 | + | 13.4144i | 0.606622 | + | 1.05070i | 0.991793 | + | 0.127854i | \(0.0408090\pi\) |
−0.385171 | + | 0.922845i | \(0.625858\pi\) | |||||||
\(164\) | 2.35337 | − | 4.07616i | 0.183767 | − | 0.318295i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.22262 | − | 10.7779i | −0.482969 | − | 0.836526i | ||||
\(167\) | −11.4359 | −0.884934 | −0.442467 | − | 0.896785i | \(-0.645897\pi\) | ||||
−0.442467 | + | 0.896785i | \(0.645897\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.4452 | −0.957326 | ||||||||
\(170\) | 0.732965 | + | 1.26953i | 0.0562158 | + | 0.0973687i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.52221 | − | 2.63654i | 0.116067 | − | 0.201035i | ||||
\(173\) | 5.11256 | + | 8.85521i | 0.388701 | + | 0.673249i | 0.992275 | − | 0.124057i | \(-0.0395907\pi\) |
−0.603574 | + | 0.797307i | \(0.706257\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.47779 | + | 2.19457i | 0.111710 | + | 0.165894i | ||||
\(176\) | −0.675351 | −0.0509065 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.57599 | − | 14.8540i | 0.642798 | − | 1.11336i | ||||
\(179\) | 0.955582 | − | 1.65512i | 0.0714235 | − | 0.123709i | −0.828102 | − | 0.560578i | \(-0.810579\pi\) |
0.899525 | + | 0.436868i | \(0.143912\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.44523 | 0.404741 | 0.202371 | − | 0.979309i | \(-0.435135\pi\) | ||||
0.202371 | + | 0.979309i | \(0.435135\pi\) | |||||||
\(182\) | 2.38026 | − | 0.164597i | 0.176437 | − | 0.0122007i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 12.0538 | + | 20.8778i | 0.888616 | + | 1.53913i | ||||
\(185\) | −4.63945 | + | 8.03576i | −0.341099 | + | 0.590801i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.154477 | + | 0.267561i | 0.0112965 | + | 0.0195660i | ||||
\(188\) | 4.22512 | 0.308148 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.34704 | 0.0977243 | ||||||||
\(191\) | −2.11256 | − | 3.65906i | −0.152859 | − | 0.264760i | 0.779418 | − | 0.626504i | \(-0.215515\pi\) |
−0.932278 | + | 0.361744i | \(0.882181\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.27172 | − | 5.66678i | 0.235503 | − | 0.407904i | −0.723916 | − | 0.689889i | \(-0.757660\pi\) |
0.959419 | + | 0.281985i | \(0.0909928\pi\) | |||||||
\(194\) | −5.11256 | − | 8.85521i | −0.367060 | − | 0.635767i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.70291 | + | 0.514579i | −0.264493 | + | 0.0367556i | ||||
\(197\) | −17.1694 | −1.22327 | −0.611633 | − | 0.791141i | \(-0.709487\pi\) | ||||
−0.611633 | + | 0.791141i | \(0.709487\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 12.5015 | − | 21.6533i | 0.886209 | − | 1.53496i | 0.0418869 | − | 0.999122i | \(-0.486663\pi\) |
0.844322 | − | 0.535836i | \(-0.180004\pi\) | |||||||
\(200\) | 1.53407 | − | 2.65709i | 0.108475 | − | 0.187884i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.2014 | 0.858487 | ||||||||
\(203\) | 3.86055 | − | 7.89981i | 0.270958 | − | 0.554458i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.40648 | − | 7.63225i | −0.307762 | − | 0.533060i | ||||
\(206\) | 2.88677 | − | 5.00004i | 0.201131 | − | 0.348369i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.985639 | − | 1.70718i | −0.0683418 | − | 0.118371i | ||||
\(209\) | 0.283896 | 0.0196375 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.2201 | −0.841268 | −0.420634 | − | 0.907231i | \(-0.638192\pi\) | ||||
−0.420634 | + | 0.907231i | \(0.638192\pi\) | |||||||
\(212\) | 0.646629 | + | 1.11999i | 0.0444106 | + | 0.0769215i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.85488 | + | 17.0692i | −0.673666 | + | 1.16682i | ||||
\(215\) | −2.85020 | − | 4.93670i | −0.194382 | − | 0.336680i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 10.2133 | + | 15.1670i | 0.693321 | + | 1.02960i | ||||
\(218\) | −1.58482 | −0.107338 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0681404 | − | 0.118023i | 0.00459402 | − | 0.00795708i | ||||
\(221\) | −0.450901 | + | 0.780984i | −0.0303309 | + | 0.0525347i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.9793 | 1.27095 | 0.635474 | − | 0.772122i | \(-0.280805\pi\) | ||||
0.635474 | + | 0.772122i | \(0.280805\pi\) | |||||||
\(224\) | 4.33268 | + | 6.43417i | 0.289489 | + | 0.429901i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.02372 | − | 6.96929i | −0.267654 | − | 0.463590i | ||||
\(227\) | 1.49282 | − | 2.58564i | 0.0990819 | − | 0.171615i | −0.812223 | − | 0.583347i | \(-0.801743\pi\) |
0.911305 | + | 0.411732i | \(0.135076\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.98965 | − | 3.44618i | −0.131480 | − | 0.227730i | 0.792767 | − | 0.609524i | \(-0.208640\pi\) |
−0.924247 | + | 0.381794i | \(0.875306\pi\) | |||||||
\(230\) | 9.51337 | 0.627293 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −10.1964 | −0.669426 | ||||||||
\(233\) | 5.81297 | + | 10.0684i | 0.380820 | + | 0.659600i | 0.991180 | − | 0.132525i | \(-0.0423084\pi\) |
−0.610360 | + | 0.792124i | \(0.708975\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.95558 | − | 6.85127i | 0.258034 | − | 0.446928i | ||||
\(236\) | −3.17267 | − | 5.49523i | −0.206523 | − | 0.357709i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.70291 | + | 3.48465i | −0.110383 | + | 0.225876i | ||||
\(239\) | 7.02070 | 0.454131 | 0.227066 | − | 0.973879i | \(-0.427087\pi\) | ||||
0.227066 | + | 0.973879i | \(0.427087\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 14.2908 | − | 24.7523i | 0.920549 | − | 1.59444i | 0.121981 | − | 0.992532i | \(-0.461075\pi\) |
0.798568 | − | 0.601904i | \(-0.205591\pi\) | |||||||
\(242\) | 6.61974 | − | 11.4657i | 0.425533 | − | 0.737045i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.85105 | 0.374575 | ||||||||
\(245\) | −2.63227 | + | 6.48623i | −0.168169 | + | 0.414390i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.414331 | + | 0.717643i | 0.0263633 | + | 0.0456625i | ||||
\(248\) | 10.6022 | − | 18.3636i | 0.673241 | − | 1.16609i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.605378 | − | 1.04855i | −0.0382875 | − | 0.0663158i | ||||
\(251\) | −4.48029 | −0.282793 | −0.141397 | − | 0.989953i | \(-0.545159\pi\) | ||||
−0.141397 | + | 0.989953i | \(0.545159\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.00500 | 0.126053 | ||||||||
\(254\) | 3.69171 | + | 6.39424i | 0.231639 | + | 0.401210i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.91116 | − | 10.2384i | 0.369448 | − | 0.639902i | ||||
\(257\) | 13.1188 | + | 22.7223i | 0.818325 | + | 1.41738i | 0.906915 | + | 0.421313i | \(0.138431\pi\) |
−0.0885901 | + | 0.996068i | \(0.528236\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −24.4912 | + | 1.69358i | −1.52181 | + | 0.105234i | ||||
\(260\) | 0.397789 | 0.0246699 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −12.9018 | + | 22.3466i | −0.797076 | + | 1.38058i | ||||
\(263\) | −5.42151 | + | 9.39033i | −0.334305 | + | 0.579033i | −0.983351 | − | 0.181716i | \(-0.941835\pi\) |
0.649046 | + | 0.760749i | \(0.275168\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.42151 | 0.148752 | ||||||||
\(266\) | 1.99064 | + | 2.95617i | 0.122054 | + | 0.181254i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.44773 | − | 4.23960i | −0.149519 | − | 0.258975i | ||||
\(269\) | −13.9255 | + | 24.1197i | −0.849054 | + | 1.47061i | 0.0329990 | + | 0.999455i | \(0.489494\pi\) |
−0.882053 | + | 0.471150i | \(0.843839\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.80111 | − | 3.11961i | −0.109409 | − | 0.189503i | 0.806122 | − | 0.591750i | \(-0.201563\pi\) |
−0.915531 | + | 0.402247i | \(0.868229\pi\) | |||||||
\(272\) | 3.20442 | 0.194297 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 18.4740 | 1.11605 | ||||||||
\(275\) | −0.127587 | − | 0.220987i | −0.00769378 | − | 0.0133260i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.38427 | + | 2.39763i | −0.0831730 | + | 0.144060i | −0.904611 | − | 0.426238i | \(-0.859839\pi\) |
0.821438 | + | 0.570297i | \(0.193172\pi\) | |||||||
\(278\) | 7.37393 | + | 12.7720i | 0.442259 | + | 0.766015i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.09820 | − | 0.559997i | 0.483960 | − | 0.0334662i | ||||
\(281\) | 26.0474 | 1.55386 | 0.776930 | − | 0.629587i | \(-0.216776\pi\) | ||||
0.776930 | + | 0.629587i | \(0.216776\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.68387 | − | 2.91654i | 0.100095 | − | 0.173370i | −0.811628 | − | 0.584174i | \(-0.801419\pi\) |
0.911724 | + | 0.410804i | \(0.134752\pi\) | |||||||
\(284\) | 2.82733 | − | 4.89707i | 0.167771 | − | 0.290588i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.230116 | −0.0136071 | ||||||||
\(287\) | 10.2376 | − | 20.9492i | 0.604309 | − | 1.23659i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.76704 | + | 13.4529i | 0.456884 | + | 0.791347i | ||||
\(290\) | −2.01186 | + | 3.48465i | −0.118141 | + | 0.204625i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.116393 | − | 0.201599i | −0.00681140 | − | 0.0117977i | ||||
\(293\) | −15.8510 | −0.926028 | −0.463014 | − | 0.886351i | \(-0.653232\pi\) | ||||
−0.463014 | + | 0.886351i | \(0.653232\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −11.8811 | −0.691745 | ||||||||
\(296\) | 14.2345 | + | 24.6548i | 0.827362 | + | 1.43303i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.2789 | + | 17.8036i | −0.595440 | + | 1.03133i | ||||
\(299\) | 2.92619 | + | 5.06831i | 0.169226 | + | 0.293108i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.62192 | − | 13.5504i | 0.381681 | − | 0.781031i | ||||
\(302\) | 1.42954 | 0.0822607 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.47226 | − | 2.55004i | 0.0844402 | − | 0.146255i | ||||
\(305\) | 5.47779 | − | 9.48781i | 0.313657 | − | 0.543271i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.8811 | 1.30589 | 0.652947 | − | 0.757404i | \(-0.273532\pi\) | ||||
0.652947 | + | 0.757404i | \(0.273532\pi\) | |||||||
\(308\) | 0.359706 | − | 0.0248740i | 0.0204962 | − | 0.00141733i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −4.18387 | − | 7.24667i | −0.237628 | − | 0.411583i | ||||
\(311\) | −9.82799 | + | 17.0226i | −0.557294 | + | 0.965262i | 0.440427 | + | 0.897789i | \(0.354827\pi\) |
−0.997721 | + | 0.0674737i | \(0.978506\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.15916 | + | 2.00772i | 0.0655194 | + | 0.113483i | 0.896924 | − | 0.442184i | \(-0.145796\pi\) |
−0.831405 | + | 0.555667i | \(0.812463\pi\) | |||||||
\(314\) | 21.4483 | 1.21040 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.26953 | −0.0714169 | ||||||||
\(317\) | 2.71794 | + | 4.70760i | 0.152655 | + | 0.264405i | 0.932203 | − | 0.361937i | \(-0.117884\pi\) |
−0.779548 | + | 0.626342i | \(0.784551\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.424012 | + | 0.734410i | −0.0237401 | + | 0.0411190i | ||||
\(320\) | −4.42151 | − | 7.65828i | −0.247170 | − | 0.428111i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 14.0588 | + | 20.8778i | 0.783465 | + | 1.16347i | ||||
\(323\) | −1.34704 | −0.0749511 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.372413 | − | 0.645038i | 0.0206578 | − | 0.0357803i | ||||
\(326\) | 9.37709 | − | 16.2416i | 0.519349 | − | 0.899539i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −27.0394 | −1.49300 | ||||||||
\(329\) | 20.8811 | − | 1.44395i | 1.15121 | − | 0.0796073i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.45558 | − | 11.1814i | −0.354831 | − | 0.614585i | 0.632258 | − | 0.774758i | \(-0.282128\pi\) |
−0.987089 | + | 0.160173i | \(0.948795\pi\) | |||||||
\(332\) | 2.74483 | − | 4.75418i | 0.150642 | − | 0.260919i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 6.92303 | + | 11.9910i | 0.378811 | + | 0.656120i | ||||
\(335\) | −9.16634 | −0.500811 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −29.8604 | −1.62660 | −0.813300 | − | 0.581844i | \(-0.802331\pi\) | ||||
−0.813300 | + | 0.581844i | \(0.802331\pi\) | |||||||
\(338\) | 7.53407 | + | 13.0494i | 0.409799 | + | 0.709793i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.323314 | + | 0.559997i | −0.0175342 | + | 0.0303701i | ||||
\(341\) | −0.881774 | − | 1.52728i | −0.0477508 | − | 0.0827067i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.1244 | + | 3.80860i | −0.978627 | + | 0.205645i | ||||
\(344\) | −17.4897 | −0.942979 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.19006 | − | 10.7215i | 0.332780 | − | 0.576391i | ||||
\(347\) | −7.46593 | + | 12.9314i | −0.400792 | + | 0.694192i | −0.993822 | − | 0.110988i | \(-0.964598\pi\) |
0.593030 | + | 0.805181i | \(0.297932\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −30.8304 | −1.65031 | −0.825156 | − | 0.564906i | \(-0.808913\pi\) | ||||
−0.825156 | + | 0.564906i | \(0.808913\pi\) | |||||||
\(350\) | 1.40648 | − | 2.87807i | 0.0751797 | − | 0.153840i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.374067 | − | 0.647903i | −0.0199378 | − | 0.0345334i | ||||
\(353\) | −3.91433 | + | 6.77982i | −0.208339 | + | 0.360853i | −0.951191 | − | 0.308602i | \(-0.900139\pi\) |
0.742853 | + | 0.669455i | \(0.233472\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.29392 | − | 9.16935i | −0.280972 | − | 0.486658i | ||||
\(356\) | 7.56582 | 0.400988 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.31395 | −0.122296 | ||||||||
\(359\) | −2.92619 | − | 5.06831i | −0.154439 | − | 0.267495i | 0.778416 | − | 0.627749i | \(-0.216024\pi\) |
−0.932854 | + | 0.360254i | \(0.882690\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.88111 | − | 15.3825i | 0.467427 | − | 0.809607i | ||||
\(362\) | −3.29642 | − | 5.70957i | −0.173256 | − | 0.300089i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.587850 | + | 0.872976i | 0.0308117 | + | 0.0457564i | ||||
\(365\) | −0.435873 | −0.0228146 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.7495 | + | 20.3507i | −0.613319 | + | 1.06230i | 0.377358 | + | 0.926068i | \(0.376833\pi\) |
−0.990677 | + | 0.136233i | \(0.956501\pi\) | |||||||
\(368\) | 10.3978 | − | 18.0095i | 0.542022 | − | 0.938810i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 11.2345 | 0.584053 | ||||||||
\(371\) | 3.57849 | + | 5.31418i | 0.185786 | + | 0.275898i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.3517 | + | 24.8579i | 0.743104 | + | 1.28709i | 0.951075 | + | 0.308959i | \(0.0999805\pi\) |
−0.207972 | + | 0.978135i | \(0.566686\pi\) | |||||||
\(374\) | 0.187034 | − | 0.323952i | 0.00967127 | − | 0.0167511i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −12.1363 | − | 21.0207i | −0.625881 | − | 1.08406i | ||||
\(377\) | −2.47529 | −0.127484 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 11.5103 | 0.591247 | 0.295623 | − | 0.955305i | \(-0.404473\pi\) | ||||
0.295623 | + | 0.955305i | \(0.404473\pi\) | |||||||
\(380\) | 0.297092 | + | 0.514579i | 0.0152405 | + | 0.0263973i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.55779 | + | 4.43023i | −0.130868 | + | 0.226670i | ||||
\(383\) | −13.8574 | − | 24.0017i | −0.708079 | − | 1.22643i | −0.965569 | − | 0.260148i | \(-0.916229\pi\) |
0.257489 | − | 0.966281i | \(-0.417105\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.296425 | − | 0.606571i | 0.0151072 | − | 0.0309137i | ||||
\(386\) | −7.92250 | −0.403245 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 2.25517 | − | 3.90608i | 0.114489 | − | 0.198301i | ||||
\(389\) | 5.54910 | − | 9.61132i | 0.281350 | − | 0.487313i | −0.690367 | − | 0.723459i | \(-0.742551\pi\) |
0.971718 | + | 0.236146i | \(0.0758843\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.51337 | −0.481112 | ||||||||
\(392\) | 13.1964 | + | 16.9445i | 0.666519 | + | 0.855826i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 10.3940 | + | 18.0029i | 0.523640 | + | 0.906971i | ||||
\(395\) | −1.18855 | + | 2.05862i | −0.0598023 | + | 0.103581i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.4287 | + | 18.0630i | 0.523401 | + | 0.906557i | 0.999629 | + | 0.0272354i | \(0.00867036\pi\) |
−0.476228 | + | 0.879322i | \(0.657996\pi\) | |||||||
\(398\) | −30.2726 | −1.51743 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −2.64663 | −0.132331 | ||||||||
\(401\) | 13.3470 | + | 23.1177i | 0.666519 | + | 1.15445i | 0.978871 | + | 0.204479i | \(0.0655499\pi\) |
−0.312352 | + | 0.949966i | \(0.601117\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.57381 | − | 4.45797i | 0.128210 | − | 0.222067i | ||||
\(404\) | 2.69105 | + | 4.66103i | 0.133885 | + | 0.231895i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −10.6204 | + | 0.734410i | −0.527082 | + | 0.0364481i | ||||
\(407\) | 2.36773 | 0.117364 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.79959 | − | 4.84904i | 0.138431 | − | 0.239769i | −0.788472 | − | 0.615071i | \(-0.789127\pi\) |
0.926903 | + | 0.375301i | \(0.122461\pi\) | |||||||
\(410\) | −5.33518 | + | 9.24080i | −0.263486 | + | 0.456370i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.54674 | 0.125469 | ||||||||
\(413\) | −17.5578 | − | 26.0739i | −0.863962 | − | 1.28301i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.13945 | − | 8.90179i | −0.252286 | − | 0.436971i | ||||
\(416\) | 1.09186 | − | 1.89116i | 0.0535330 | − | 0.0927218i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.171864 | − | 0.297678i | −0.00840616 | − | 0.0145599i | ||||
\(419\) | −37.4008 | −1.82715 | −0.913575 | − | 0.406671i | \(-0.866690\pi\) | ||||
−0.913575 | + | 0.406671i | \(0.866690\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.3357 | 0.893627 | 0.446814 | − | 0.894627i | \(-0.352559\pi\) | ||||
0.446814 | + | 0.894627i | \(0.352559\pi\) | |||||||
\(422\) | 7.39779 | + | 12.8133i | 0.360119 | + | 0.623744i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.71477 | − | 6.43417i | 0.180405 | − | 0.312471i | ||||
\(425\) | 0.605378 | + | 1.04855i | 0.0293651 | + | 0.0508619i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 28.9167 | − | 1.99961i | 1.39938 | − | 0.0967680i | ||||
\(428\) | −8.69407 | −0.420244 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.45090 | + | 5.97714i | −0.166417 | + | 0.288243i | ||||
\(431\) | 10.3470 | − | 17.9216i | 0.498399 | − | 0.863253i | −0.501599 | − | 0.865100i | \(-0.667255\pi\) |
0.999998 | + | 0.00184744i | \(0.000588058\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.25517 | −0.348661 | −0.174331 | − | 0.984687i | \(-0.555776\pi\) | ||||
−0.174331 | + | 0.984687i | \(0.555776\pi\) | |||||||
\(434\) | 9.72044 | − | 19.8908i | 0.466596 | − | 0.954791i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.349536 | − | 0.605415i | −0.0167398 | − | 0.0289941i | ||||
\(437\) | −4.37090 | + | 7.57062i | −0.209088 | + | 0.362152i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.84552 | + | 8.39269i | 0.231264 | + | 0.400561i | 0.958180 | − | 0.286165i | \(-0.0923805\pi\) |
−0.726916 | + | 0.686726i | \(0.759047\pi\) | |||||||
\(440\) | −0.782909 | −0.0373237 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.09186 | 0.0519346 | ||||||||
\(443\) | −3.00000 | − | 5.19615i | −0.142534 | − | 0.246877i | 0.785916 | − | 0.618333i | \(-0.212192\pi\) |
−0.928450 | + | 0.371457i | \(0.878858\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.08317 | − | 12.2684i | 0.335774 | − | 0.581578i | ||||
\(446\) | −11.4897 | − | 19.9007i | −0.544051 | − | 0.942324i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 10.2726 | − | 21.0207i | 0.485333 | − | 0.993133i | ||||
\(449\) | −16.2251 | −0.765711 | −0.382855 | − | 0.923808i | \(-0.625059\pi\) | ||||
−0.382855 | + | 0.923808i | \(0.625059\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.12442 | + | 1.94755i | −0.0529469 | + | 0.0917066i | ||||
\(452\) | 1.77488 | − | 3.07419i | 0.0834835 | − | 0.144598i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.61488 | −0.169655 | ||||||||
\(455\) | 1.96593 | − | 0.135946i | 0.0921642 | − | 0.00637323i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −16.9158 | − | 29.2991i | −0.791290 | − | 1.37055i | −0.925169 | − | 0.379556i | \(-0.876077\pi\) |
0.133879 | − | 0.990998i | \(-0.457257\pi\) | |||||||
\(458\) | −2.40898 | + | 4.17248i | −0.112564 | + | 0.194967i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.09820 | + | 3.63418i | 0.0978290 | + | 0.169445i | ||||
\(461\) | −14.8417 | −0.691246 | −0.345623 | − | 0.938373i | \(-0.612332\pi\) | ||||
−0.345623 | + | 0.938373i | \(0.612332\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 34.3708 | 1.59734 | 0.798672 | − | 0.601766i | \(-0.205536\pi\) | ||||
0.798672 | + | 0.601766i | \(0.205536\pi\) | |||||||
\(464\) | 4.39779 | + | 7.61719i | 0.204162 | + | 0.353619i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.03808 | − | 12.1903i | 0.326033 | − | 0.564706i | ||||
\(467\) | −1.34704 | − | 2.33314i | −0.0623334 | − | 0.107965i | 0.833175 | − | 0.553010i | \(-0.186521\pi\) |
−0.895508 | + | 0.445045i | \(0.853188\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.5459 | − | 20.1162i | −0.625493 | − | 0.928878i | ||||
\(470\) | −9.57849 | −0.441823 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −18.2265 | + | 31.5691i | −0.838940 | + | 1.45309i | ||||
\(473\) | −0.727298 | + | 1.25972i | −0.0334412 | + | 0.0579218i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.11256 | 0.0510477 | ||||||||
\(476\) | −1.70674 | + | 0.118023i | −0.0782284 | + | 0.00540956i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −4.25017 | − | 7.36152i | −0.194398 | − | 0.336708i | ||||
\(479\) | 7.33268 | − | 12.7006i | 0.335039 | − | 0.580304i | −0.648454 | − | 0.761254i | \(-0.724584\pi\) |
0.983492 | + | 0.180950i | \(0.0579173\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.45558 | + | 5.98524i | 0.157561 | + | 0.272904i | ||||
\(482\) | −34.6052 | −1.57623 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 5.84000 | 0.265454 | ||||||||
\(485\) | −4.22262 | − | 7.31379i | −0.191739 | − | 0.332102i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.50869 | − | 6.07724i | 0.158994 | − | 0.275386i | −0.775512 | − | 0.631333i | \(-0.782508\pi\) |
0.934506 | + | 0.355947i | \(0.115842\pi\) | |||||||
\(488\) | −16.8066 | − | 29.1099i | −0.760800 | − | 1.31775i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 8.39462 | − | 1.16657i | 0.379230 | − | 0.0527002i | ||||
\(491\) | 21.7148 | 0.979974 | 0.489987 | − | 0.871730i | \(-0.337002\pi\) | ||||
0.489987 | + | 0.871730i | \(0.337002\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.01186 | − | 3.48465i | 0.0906097 | − | 0.156941i | ||||
\(494\) | 0.501654 | − | 0.868890i | 0.0225705 | − | 0.0390932i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −18.2913 | −0.821303 | ||||||||
\(497\) | 12.2995 | − | 25.1683i | 0.551706 | − | 1.12895i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.66634 | + | 9.81439i | 0.253660 | + | 0.439352i | 0.964531 | − | 0.263971i | \(-0.0850322\pi\) |
−0.710871 | + | 0.703323i | \(0.751699\pi\) | |||||||
\(500\) | 0.267035 | − | 0.462518i | 0.0119422 | − | 0.0206844i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.71227 | + | 4.69779i | 0.121054 | + | 0.209673i | ||||
\(503\) | −2.31395 | −0.103174 | −0.0515870 | − | 0.998669i | \(-0.516428\pi\) | ||||
−0.0515870 | + | 0.998669i | \(0.516428\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.0775 | 0.448443 | ||||||||
\(506\) | −1.21378 | − | 2.10233i | −0.0539592 | − | 0.0934601i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.62843 | + | 2.82053i | −0.0722500 | + | 0.125141i | ||||
\(509\) | 4.14262 | + | 7.17522i | 0.183618 | + | 0.318036i | 0.943110 | − | 0.332481i | \(-0.107886\pi\) |
−0.759492 | + | 0.650517i | \(0.774552\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.644129 | − | 0.956553i | −0.0284946 | − | 0.0423154i | ||||
\(512\) | −24.0000 | −1.06066 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.8836 | − | 27.5112i | 0.700596 | − | 1.21347i | ||||
\(515\) | 2.38427 | − | 4.12968i | 0.105064 | − | 0.181976i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.01872 | −0.0887833 | ||||||||
\(518\) | 16.6022 | + | 24.6548i | 0.729459 | + | 1.08327i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.14262 | − | 1.97907i | −0.0501070 | − | 0.0867879i | ||||
\(521\) | −9.32331 | + | 16.1485i | −0.408462 | + | 0.707477i | −0.994718 | − | 0.102649i | \(-0.967268\pi\) |
0.586256 | + | 0.810126i | \(0.300601\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.695727 | + | 1.20504i | 0.0304220 | + | 0.0526925i | 0.880836 | − | 0.473422i | \(-0.156982\pi\) |
−0.850414 | + | 0.526115i | \(0.823648\pi\) | |||||||
\(524\) | −11.3821 | −0.497229 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.1283 | 0.572419 | ||||||||
\(527\) | 4.18387 | + | 7.24667i | 0.182252 | + | 0.315670i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.3692 | + | 33.5485i | −0.842141 | + | 1.45863i | ||||
\(530\) | −1.46593 | − | 2.53906i | −0.0636759 | − | 0.110290i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.690238 | + | 1.41243i | −0.0299256 | + | 0.0612366i | ||||
\(533\) | −6.56413 | −0.284324 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.13945 | + | 14.0979i | −0.351899 | + | 0.609507i | ||||
\(536\) | −14.0618 | + | 24.3558i | −0.607377 | + | 1.05201i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 33.7208 | 1.45381 | ||||||||
\(539\) | 1.76922 | − | 0.245861i | 0.0762055 | − | 0.0105900i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.31297 | − | 9.20233i | −0.228422 | − | 0.395639i | 0.728918 | − | 0.684601i | \(-0.240023\pi\) |
−0.957341 | + | 0.288962i | \(0.906690\pi\) | |||||||
\(542\) | −2.18070 | + | 3.77708i | −0.0936690 | + | 0.162240i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.77488 | + | 3.07419i | 0.0760975 | + | 0.131805i | ||||
\(545\) | −1.30895 | −0.0560694 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.5765 | 0.794274 | 0.397137 | − | 0.917759i | \(-0.370004\pi\) | ||||
0.397137 | + | 0.917759i | \(0.370004\pi\) | |||||||
\(548\) | 4.07448 | + | 7.05720i | 0.174053 | + | 0.301469i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.154477 | + | 0.267561i | −0.00658691 | + | 0.0114089i | ||||
\(551\) | −1.84869 | − | 3.20203i | −0.0787569 | − | 0.136411i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.27422 | + | 0.433867i | −0.266807 | + | 0.0184499i | ||||
\(554\) | 3.35204 | 0.142414 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.25267 | + | 5.63380i | −0.137944 | + | 0.238926i | ||||
\(557\) | 18.0681 | − | 31.2949i | 0.765572 | − | 1.32601i | −0.174372 | − | 0.984680i | \(-0.555790\pi\) |
0.939944 | − | 0.341329i | \(-0.110877\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.24581 | −0.179579 | ||||||||
\(560\) | −3.91116 | − | 5.80821i | −0.165277 | − | 0.245442i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −15.7685 | − | 27.3119i | −0.665156 | − | 1.15208i | ||||
\(563\) | −11.8811 | + | 20.5787i | −0.500729 | + | 0.867288i | 0.499271 | + | 0.866446i | \(0.333601\pi\) |
−1.00000 | 0.000841928i | \(0.999732\pi\) | ||||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.32331 | − | 5.75615i | −0.139813 | − | 0.242163i | ||||
\(566\) | −4.07750 | −0.171390 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −32.4850 | −1.36304 | ||||||||
\(569\) | 10.3414 | + | 17.9118i | 0.433533 | + | 0.750901i | 0.997175 | − | 0.0751185i | \(-0.0239335\pi\) |
−0.563642 | + | 0.826019i | \(0.690600\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −18.6926 | + | 32.3765i | −0.782259 | + | 1.35491i | 0.148363 | + | 0.988933i | \(0.452599\pi\) |
−0.930623 | + | 0.365980i | \(0.880734\pi\) | |||||||
\(572\) | −0.0507527 | − | 0.0879063i | −0.00212208 | − | 0.00367555i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −28.1638 | + | 1.94755i | −1.17554 | + | 0.0812892i | ||||
\(575\) | 7.85738 | 0.327676 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −17.3217 | + | 30.0020i | −0.721110 | + | 1.24900i | 0.239445 | + | 0.970910i | \(0.423035\pi\) |
−0.960555 | + | 0.278089i | \(0.910299\pi\) | |||||||
\(578\) | 9.40398 | − | 16.2882i | 0.391154 | − | 0.677499i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.77488 | −0.0736980 | ||||||||
\(581\) | 11.9406 | − | 24.4339i | 0.495378 | − | 1.01369i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.308953 | − | 0.535123i | −0.0127955 | − | 0.0221625i | ||||
\(584\) | −0.668659 | + | 1.15815i | −0.0276693 | + | 0.0479247i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.59588 | + | 16.6205i | 0.396402 | + | 0.686588i | ||||
\(587\) | 15.7685 | 0.650838 | 0.325419 | − | 0.945570i | \(-0.394495\pi\) | ||||
0.325419 | + | 0.945570i | \(0.394495\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.68907 | 0.316823 | ||||||||
\(590\) | 7.19256 | + | 12.4579i | 0.296113 | + | 0.512883i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 12.2789 | − | 21.2677i | 0.504660 | − | 0.874096i | ||||
\(593\) | 11.7179 | + | 20.2961i | 0.481198 | + | 0.833459i | 0.999767 | − | 0.0215763i | \(-0.00686848\pi\) |
−0.518569 | + | 0.855036i | \(0.673535\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.40648 | + | 2.87807i | −0.0576602 | + | 0.117990i | ||||
\(596\) | −9.06814 | −0.371446 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.54290 | − | 6.13649i | 0.144880 | − | 0.250940i | ||||
\(599\) | −5.50401 | + | 9.53323i | −0.224888 | + | 0.389517i | −0.956286 | − | 0.292434i | \(-0.905535\pi\) |
0.731398 | + | 0.681951i | \(0.238868\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.7385 | 0.519614 | 0.259807 | − | 0.965661i | \(-0.416341\pi\) | ||||
0.259807 | + | 0.965661i | \(0.416341\pi\) | |||||||
\(602\) | −18.2169 | + | 1.25972i | −0.742467 | + | 0.0513422i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.315288 | + | 0.546095i | 0.0128289 | + | 0.0222203i | ||||
\(605\) | 5.46744 | − | 9.46989i | 0.222283 | − | 0.385006i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.8527 | − | 22.2615i | −0.521675 | − | 0.903568i | −0.999682 | − | 0.0252118i | \(-0.991974\pi\) |
0.478007 | − | 0.878356i | \(-0.341359\pi\) | |||||||
\(608\) | 3.26187 | 0.132286 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −13.2645 | −0.537065 | ||||||||
\(611\) | −2.94622 | − | 5.10300i | −0.119191 | − | 0.206445i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −11.3145 | + | 19.5973i | −0.456988 | + | 0.791526i | −0.998800 | − | 0.0489737i | \(-0.984405\pi\) |
0.541813 | + | 0.840499i | \(0.317738\pi\) | |||||||
\(614\) | −13.8517 | − | 23.9919i | −0.559010 | − | 0.968233i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.15698 | − | 1.71815i | −0.0466159 | − | 0.0692262i | ||||
\(617\) | 24.2726 | 0.977177 | 0.488588 | − | 0.872514i | \(-0.337512\pi\) | ||||
0.488588 | + | 0.872514i | \(0.337512\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 5.42552 | − | 9.39728i | 0.218070 | − | 0.377709i | −0.736148 | − | 0.676821i | \(-0.763357\pi\) |
0.954218 | + | 0.299112i | \(0.0966905\pi\) | |||||||
\(620\) | 1.84552 | − | 3.19654i | 0.0741180 | − | 0.128376i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 23.7986 | 0.954237 | ||||||||
\(623\) | 37.3913 | − | 2.58564i | 1.49805 | − | 0.103591i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 1.40346 | − | 2.43086i | 0.0560934 | − | 0.0971566i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.73047 | + | 8.19341i | 0.188766 | + | 0.326952i | ||||
\(629\) | −11.2345 | −0.447948 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.4897 | −0.616633 | −0.308317 | − | 0.951284i | \(-0.599766\pi\) | ||||
−0.308317 | + | 0.951284i | \(0.599766\pi\) | |||||||
\(632\) | 3.64663 | + | 6.31615i | 0.145055 | + | 0.251243i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.29076 | − | 5.69976i | 0.130693 | − | 0.226366i | ||||
\(635\) | 3.04910 | + | 5.28119i | 0.121000 | + | 0.209578i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.20358 | + | 4.11347i | 0.126930 | + | 0.162982i | ||||
\(638\) | 1.02675 | 0.0406494 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.42151 | + | 4.19418i | −0.0957187 | + | 0.165790i | ||||
\(641\) | 7.67602 | − | 13.2953i | 0.303184 | − | 0.525131i | −0.673671 | − | 0.739031i | \(-0.735283\pi\) |
0.976855 | + | 0.213900i | \(0.0686168\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −41.0775 | −1.61994 | −0.809969 | − | 0.586472i | \(-0.800516\pi\) | ||||
−0.809969 | + | 0.586472i | \(0.800516\pi\) | |||||||
\(644\) | −4.87477 | + | 9.97520i | −0.192093 | + | 0.393078i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.815466 | + | 1.41243i | 0.0320841 | + | 0.0555713i | ||||
\(647\) | 3.04125 | − | 5.26760i | 0.119564 | − | 0.207091i | −0.800031 | − | 0.599959i | \(-0.795184\pi\) |
0.919595 | + | 0.392868i | \(0.128517\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.51587 | + | 2.62557i | 0.0595033 | + | 0.103063i | ||||
\(650\) | −0.901803 | −0.0353716 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.27256 | 0.323979 | ||||||||
\(653\) | 2.63543 | + | 4.56471i | 0.103133 | + | 0.178631i | 0.912974 | − | 0.408018i | \(-0.133780\pi\) |
−0.809841 | + | 0.586649i | \(0.800447\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.6560 | + | 18.4567i | −0.416364 | + | 0.721164i | ||||
\(656\) | 11.6623 | + | 20.1997i | 0.455337 | + | 0.788667i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −14.1550 | − | 21.0207i | −0.551819 | − | 0.819470i | ||||
\(659\) | 44.6654 | 1.73992 | 0.869958 | − | 0.493127i | \(-0.164146\pi\) | ||||
0.869958 | + | 0.493127i | \(0.164146\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.49750 | + | 2.59375i | −0.0582460 | + | 0.100885i | −0.893678 | − | 0.448709i | \(-0.851884\pi\) |
0.835432 | + | 0.549594i | \(0.185217\pi\) | |||||||
\(662\) | −7.81613 | + | 13.5379i | −0.303783 | + | 0.526167i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −31.5371 | −1.22388 | ||||||||
\(665\) | 1.64413 | + | 2.44159i | 0.0637566 | + | 0.0946807i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −13.0563 | − | 22.6141i | −0.505541 | − | 0.875623i | ||||
\(668\) | −3.05378 | + | 5.28930i | −0.118154 | + | 0.204649i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.54910 | + | 9.61132i | 0.214380 | + | 0.371318i | ||||
\(671\) | −2.79558 | −0.107922 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 40.3420 | 1.55507 | 0.777536 | − | 0.628839i | \(-0.216470\pi\) | ||||
0.777536 | + | 0.628839i | \(0.216470\pi\) | |||||||
\(674\) | 18.0768 | + | 31.3100i | 0.696294 | + | 1.20602i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −3.32331 | + | 5.75615i | −0.127820 | + | 0.221390i | ||||
\(677\) | −11.2757 | − | 19.5301i | −0.433361 | − | 0.750604i | 0.563799 | − | 0.825912i | \(-0.309339\pi\) |
−0.997160 | + | 0.0753081i | \(0.976006\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.81047 | − | 20.0751i | 0.376491 | − | 0.770411i | ||||
\(680\) | 3.71477 | 0.142455 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.06761 | + | 1.84916i | −0.0408810 | + | 0.0708080i | ||||
\(683\) | −3.21392 | + | 5.56668i | −0.122977 | + | 0.213003i | −0.920940 | − | 0.389703i | \(-0.872578\pi\) |
0.797963 | + | 0.602706i | \(0.205911\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 15.2582 | 0.582986 | ||||||||
\(686\) | 14.9656 | + | 16.6986i | 0.571390 | + | 0.637557i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 7.54343 | + | 13.0656i | 0.287591 | + | 0.498122i | ||||
\(689\) | 0.901803 | − | 1.56197i | 0.0343559 | − | 0.0595062i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.1259 | + | 41.7873i | 0.917794 | + | 1.58967i | 0.802759 | + | 0.596304i | \(0.203365\pi\) |
0.115035 | + | 0.993361i | \(0.463302\pi\) | |||||||
\(692\) | 5.46093 | 0.207593 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 18.0788 | 0.686263 | ||||||||
\(695\) | 6.09035 | + | 10.5488i | 0.231020 | + | 0.400139i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.33518 | − | 9.24080i | 0.202084 | − | 0.350020i | ||||
\(698\) | 18.6640 | + | 32.3270i | 0.706443 | + | 1.22360i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.40965 | − | 0.0974785i | 0.0532798 | − | 0.00368434i | ||||
\(701\) | −42.6640 | −1.61140 | −0.805699 | − | 0.592325i | \(-0.798210\pi\) | ||||
−0.805699 | + | 0.592325i | \(0.798210\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.16166 | + | 8.94025i | −0.194676 | + | 0.337188i | ||||
\(704\) | −1.12825 | + | 1.95419i | −0.0425227 | + | 0.0736515i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.47860 | 0.356732 | ||||||||
\(707\) | 14.8924 | + | 22.1158i | 0.560088 | + | 0.831749i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −2.48715 | − | 4.30787i | −0.0934070 | − | 0.161786i | 0.815536 | − | 0.578707i | \(-0.196442\pi\) |
−0.908943 | + | 0.416921i | \(0.863109\pi\) | |||||||
\(710\) | −6.40965 | + | 11.1018i | −0.240550 | + | 0.416645i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −21.7322 | − | 37.6412i | −0.814447 | − | 1.41066i | ||||
\(713\) | 54.3037 | 2.03369 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.190060 | −0.00710785 | ||||||||
\(716\) | −0.510348 | − | 0.883948i | −0.0190726 | − | 0.0330347i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.54290 | + | 6.13649i | −0.132220 | + | 0.229012i | ||||
\(719\) | 1.72413 | + | 2.98628i | 0.0642992 | + | 0.111370i | 0.896383 | − | 0.443281i | \(-0.146185\pi\) |
−0.832084 | + | 0.554650i | \(0.812852\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.5863 | − | 0.870355i | 0.468740 | − | 0.0324137i | ||||
\(722\) | −21.5057 | −0.800359 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.45407 | − | 2.51852i | 0.0540400 | − | 0.0936001i | ||||
\(725\) | −1.66166 | + | 2.87807i | −0.0617124 | + | 0.106889i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 34.6797 | 1.28620 | 0.643100 | − | 0.765782i | \(-0.277648\pi\) | ||||
0.643100 | + | 0.765782i | \(0.277648\pi\) | |||||||
\(728\) | 2.65465 | − | 5.43220i | 0.0983881 | − | 0.201331i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.263868 | + | 0.457032i | 0.00976618 | + | 0.0169155i | ||||
\(731\) | 3.45090 | − | 5.97714i | 0.127636 | − | 0.221072i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.3818 | − | 21.4459i | −0.457331 | − | 0.792121i | 0.541488 | − | 0.840709i | \(-0.317861\pi\) |
−0.998819 | + | 0.0485877i | \(0.984528\pi\) | |||||||
\(734\) | 28.4516 | 1.05017 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 23.0367 | 0.849146 | ||||||||
\(737\) | 1.16951 | + | 2.02564i | 0.0430793 | + | 0.0746155i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.45808 | − | 14.6498i | 0.311136 | − | 0.538903i | −0.667473 | − | 0.744634i | \(-0.732624\pi\) |
0.978608 | + | 0.205731i | \(0.0659573\pi\) | |||||||
\(740\) | 2.47779 | + | 4.29166i | 0.0910854 | + | 0.157765i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.40582 | − | 6.96929i | 0.125031 | − | 0.255851i | ||||
\(743\) | 17.2996 | 0.634660 | 0.317330 | − | 0.948315i | \(-0.397214\pi\) | ||||
0.317330 | + | 0.948315i | \(0.397214\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −8.48965 | + | 14.7045i | −0.311037 | + | 0.538732i | ||||
\(746\) | 17.3764 | − | 30.0969i | 0.636196 | − | 1.10192i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.165003 | 0.00603310 | ||||||||
\(749\) | −42.9673 | + | 2.97122i | −1.56999 | + | 0.108566i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.0484 | + | 29.5287i | 0.622106 | + | 1.07752i | 0.989093 | + | 0.147293i | \(0.0470561\pi\) |
−0.366987 | + | 0.930226i | \(0.619611\pi\) | |||||||
\(752\) | −10.4690 | + | 18.1328i | −0.381764 | + | 0.661234i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.49849 | + | 2.59546i | 0.0545717 | + | 0.0945209i | ||||
\(755\) | 1.18070 | 0.0429700 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −30.5578 | −1.11064 | −0.555321 | − | 0.831636i | \(-0.687405\pi\) | ||||
−0.555321 | + | 0.831636i | \(0.687405\pi\) | |||||||
\(758\) | −6.96811 | − | 12.0691i | −0.253093 | − | 0.438370i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.70674 | − | 2.95617i | 0.0619101 | − | 0.107231i | ||||
\(761\) | 2.02439 | + | 3.50635i | 0.0733841 | + | 0.127105i | 0.900382 | − | 0.435099i | \(-0.143287\pi\) |
−0.826998 | + | 0.562204i | \(0.809953\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.93436 | − | 2.87259i | −0.0700285 | − | 0.103995i | ||||
\(764\) | −2.25651 | −0.0816376 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −16.7779 | + | 29.0602i | −0.606211 | + | 1.04999i | ||||
\(767\) | −4.42468 | + | 7.66377i | −0.159766 | + | 0.276723i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.97430 | −0.143317 | −0.0716585 | − | 0.997429i | \(-0.522829\pi\) | ||||
−0.0716585 | + | 0.997429i | \(0.522829\pi\) | |||||||
\(770\) | −0.815466 | + | 0.0563901i | −0.0293874 | + | 0.00203216i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.74733 | − | 3.02646i | −0.0628876 | − | 0.108925i | ||||
\(773\) | 0.914331 | − | 1.58367i | 0.0328862 | − | 0.0569606i | −0.849114 | − | 0.528210i | \(-0.822863\pi\) |
0.882000 | + | 0.471249i | \(0.156197\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.45558 | − | 5.98524i | −0.124128 | − | 0.214996i | ||||
\(776\) | −25.9112 | −0.930157 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −13.4372 | −0.481747 | ||||||||
\(779\) | −4.90247 | − | 8.49133i | −0.175649 | − | 0.304233i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.35087 | + | 2.33978i | −0.0483380 | + | 0.0837238i | ||||
\(782\) | 5.75919 | + | 9.97520i | 0.205948 | + | 0.356713i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.96663 | − | 17.1666i | 0.248808 | − | 0.613094i | ||||
\(785\) | 17.7148 | 0.632267 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 11.5672 | − | 20.0349i | 0.412325 | − | 0.714167i | −0.582819 | − | 0.812602i | \(-0.698050\pi\) |
0.995143 | + | 0.0984350i | \(0.0313837\pi\) | |||||||
\(788\) | −4.58482 | + | 7.94115i | −0.163328 | + | 0.282892i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.87808 | 0.102397 | ||||||||
\(791\) | 7.72110 | − | 15.7996i | 0.274531 | − | 0.561770i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.08000 | − | 7.06677i | −0.144885 | − | 0.250948i | ||||
\(794\) | 12.6266 | − | 21.8699i | 0.448101 | − | 0.776134i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.67669 | − | 11.5644i | −0.236649 | − | 0.409888i | ||||
\(797\) | 1.07448 | 0.0380599 | 0.0190299 | − | 0.999819i | \(-0.493942\pi\) | ||||
0.0190299 | + | 0.999819i | \(0.493942\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.57849 | 0.338863 | ||||||||
\(800\) | −1.46593 | − | 2.53906i | −0.0518284 | − | 0.0897695i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 16.1600 | − | 27.9899i | 0.570630 | − | 0.988359i | ||||
\(803\) | 0.0556117 | + | 0.0963223i | 0.00196249 | + | 0.00339914i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 11.6116 | + | 17.2436i | 0.409254 | + | 0.607756i | ||||
\(806\) | −6.23251 | −0.219531 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 15.4596 | − | 26.7768i | 0.543867 | − | 0.942005i | ||||
\(809\) | 22.7098 | − | 39.3345i | 0.798433 | − | 1.38293i | −0.122203 | − | 0.992505i | \(-0.538996\pi\) |
0.920636 | − | 0.390421i | \(-0.127671\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −40.2074 | −1.41187 | −0.705937 | − | 0.708274i | \(-0.749474\pi\) | ||||
−0.705937 | + | 0.708274i | \(0.749474\pi\) | |||||||
\(812\) | −2.62291 | − | 3.89510i | −0.0920460 | − | 0.136691i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.43337 | − | 2.48267i | −0.0502397 | − | 0.0870177i | ||||
\(815\) | 7.74483 | − | 13.4144i | 0.271289 | − | 0.469887i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −3.17102 | − | 5.49237i | −0.110940 | − | 0.192154i | ||||
\(818\) | −6.77924 | −0.237031 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −4.70674 | −0.164367 | ||||||||
\(821\) | −21.8961 | − | 37.9252i | −0.764180 | − | 1.32360i | −0.940679 | − | 0.339298i | \(-0.889810\pi\) |
0.176498 | − | 0.984301i | \(-0.443523\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 15.1926 | − | 26.3143i | 0.529579 | − | 0.917258i | −0.469825 | − | 0.882759i | \(-0.655683\pi\) |
0.999405 | − | 0.0344990i | \(-0.0109835\pi\) | |||||||
\(824\) | −7.31529 | − | 12.6705i | −0.254840 | − | 0.441396i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −16.7106 | + | 34.1947i | −0.581435 | + | 1.18979i | ||||
\(827\) | 30.3801 | 1.05642 | 0.528210 | − | 0.849114i | \(-0.322863\pi\) | ||||
0.528210 | + | 0.849114i | \(0.322863\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.3105 | − | 35.1788i | 0.705412 | − | 1.22181i | −0.261131 | − | 0.965303i | \(-0.584095\pi\) |
0.966543 | − | 0.256505i | \(-0.0825712\pi\) | |||||||
\(830\) | −6.22262 | + | 10.7779i | −0.215990 | + | 0.374106i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −6.58651 | −0.228346 | ||||||||
\(833\) | −8.39462 | + | 1.16657i | −0.290856 | + | 0.0404192i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.71794 | + | 9.90376i | 0.197877 | + | 0.342734i | ||||
\(836\) | 0.0758102 | − | 0.131307i | 0.00262195 | − | 0.00454135i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 22.6416 | + | 39.2165i | 0.782142 | + | 1.35471i | ||||
\(839\) | −36.0962 | −1.24618 | −0.623090 | − | 0.782150i | \(-0.714123\pi\) | ||||
−0.623090 | + | 0.782150i | \(0.714123\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.9556 | −0.619158 | ||||||||
\(842\) | −11.1000 | − | 19.2258i | −0.382532 | − | 0.662565i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.26320 | + | 5.65203i | −0.112324 | + | 0.194551i | ||||
\(845\) | 6.22262 | + | 10.7779i | 0.214065 | + | 0.370771i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 28.8621 | − | 1.99583i | 0.991712 | − | 0.0685777i | ||||
\(848\) | −6.40884 | −0.220081 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0.732965 | − | 1.26953i | 0.0251405 | − | 0.0435446i | ||||
\(851\) | −36.4539 | + | 63.1401i | −1.24962 | + | 2.16441i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 30.4546 | 1.04275 | 0.521373 | − | 0.853329i | \(-0.325420\pi\) | ||||
0.521373 | + | 0.853329i | \(0.325420\pi\) | |||||||
\(854\) | −19.6022 | − | 29.1099i | −0.670774 | − | 0.996122i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 24.9730 | + | 43.2545i | 0.853559 | + | 1.47841i | ||||
\(857\) | −5.38026 | + | 9.31889i | −0.183786 | + | 0.318327i | −0.943167 | − | 0.332320i | \(-0.892169\pi\) |
0.759381 | + | 0.650647i | \(0.225502\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.89297 | − | 15.4031i | −0.303424 | − | 0.525546i | 0.673485 | − | 0.739201i | \(-0.264797\pi\) |
−0.976909 | + | 0.213655i | \(0.931463\pi\) | |||||||
\(860\) | −3.04442 | −0.103814 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −25.0555 | −0.853393 | ||||||||
\(863\) | 9.05378 | + | 15.6816i | 0.308194 | + | 0.533808i | 0.977967 | − | 0.208758i | \(-0.0669420\pi\) |
−0.669773 | + | 0.742566i | \(0.733609\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.11256 | − | 8.85521i | 0.173832 | − | 0.301086i | ||||
\(866\) | 4.39212 | + | 7.60738i | 0.149250 | + | 0.258509i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 9.74233 | − | 0.673690i | 0.330676 | − | 0.0228665i | ||||
\(869\) | 0.606572 | 0.0205766 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.41366 | + | 5.91264i | −0.115668 | + | 0.200342i | ||||
\(872\) | −2.00803 | + | 3.47800i | −0.0680004 | + | 0.117780i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 10.5842 | 0.358015 | ||||||||
\(875\) | 1.16166 | − | 2.37709i | 0.0392712 | − | 0.0803603i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.48029 | − | 9.49214i | −0.185056 | − | 0.320527i | 0.758539 | − | 0.651627i | \(-0.225913\pi\) |
−0.943595 | + | 0.331101i | \(0.892580\pi\) | |||||||
\(878\) | 5.86675 | − | 10.1615i | 0.197993 | − | 0.342934i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.337675 | + | 0.584871i | 0.0113830 | + | 0.0197160i | ||||
\(881\) | 37.1570 | 1.25185 | 0.625925 | − | 0.779883i | \(-0.284722\pi\) | ||||
0.625925 | + | 0.779883i | \(0.284722\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −13.9730 | −0.470228 | −0.235114 | − | 0.971968i | \(-0.575546\pi\) | ||||
−0.235114 | + | 0.971968i | \(0.575546\pi\) | |||||||
\(884\) | 0.240813 | + | 0.417100i | 0.00809942 | + | 0.0140286i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.63227 | + | 6.29127i | −0.122028 | + | 0.211359i | ||||
\(887\) | −19.7367 | − | 34.1849i | −0.662692 | − | 1.14782i | −0.979906 | − | 0.199462i | \(-0.936080\pi\) |
0.317213 | − | 0.948354i | \(-0.397253\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.08401 | + | 14.4960i | −0.237590 | + | 0.486179i | ||||
\(890\) | −17.1520 | −0.574936 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.06814 | − | 8.77828i | 0.169694 | − | 0.293918i | ||||
\(893\) | 4.40082 | − | 7.62244i | 0.147268 | − | 0.255075i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.91116 | −0.0638832 | ||||||||
\(896\) | −12.7829 | + | 0.883948i | −0.427047 | + | 0.0295306i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.82233 | + | 17.0128i | 0.327775 | + | 0.567724i | ||||
\(899\) | −11.4840 | + | 19.8908i | −0.383012 | + | 0.663397i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.46593 | + | 2.53906i | 0.0488372 | + | 0.0845885i | ||||
\(902\) | 2.72280 | 0.0906592 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −20.3928 | −0.678254 | ||||||||
\(905\) | −2.72262 | − | 4.71571i | −0.0905029 | − | 0.156756i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.24166 | − | 12.5429i | 0.240455 | − | 0.416481i | −0.720389 | − | 0.693571i | \(-0.756037\pi\) |
0.960844 | + | 0.277090i | \(0.0893699\pi\) | |||||||
\(908\) | −0.797270 | − | 1.38091i | −0.0264583 | − | 0.0458272i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.33268 | − | 1.97907i | −0.0441778 | − | 0.0656055i | ||||
\(911\) | −35.1043 | −1.16306 | −0.581528 | − | 0.813526i | \(-0.697545\pi\) | ||||
−0.581528 | + | 0.813526i | \(0.697545\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.31145 | + | 2.27150i | −0.0434028 | + | 0.0751758i | ||||
\(914\) | −20.4810 | + | 35.4741i | −0.677450 | + | 1.17338i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.12523 | −0.0702195 | ||||||||
\(917\) | −56.2519 | + | 3.88986i | −1.85760 | + | 0.128455i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.7138 | + | 18.5568i | 0.353415 | + | 0.612133i | 0.986845 | − | 0.161667i | \(-0.0516870\pi\) |
−0.633430 | + | 0.773800i | \(0.718354\pi\) | |||||||
\(920\) | 12.0538 | − | 20.8778i | 0.397401 | − | 0.688319i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 8.98483 | + | 15.5622i | 0.295900 | + | 0.512513i | ||||
\(923\) | −7.88611 | −0.259574 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.27890 | 0.305088 | ||||||||
\(926\) | −20.8073 | − | 36.0393i | −0.683770 | − | 1.18432i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.87175 | + | 8.43811i | −0.159923 | + | 0.276995i | ||||
\(929\) | 10.0150 | + | 17.3465i | 0.328582 | + | 0.569121i | 0.982231 | − | 0.187677i | \(-0.0600958\pi\) |
−0.653648 | + | 0.756798i | \(0.726762\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.92855 | + | 7.21631i | −0.0959794 | + | 0.236505i | ||||
\(932\) | 6.20906 | 0.203385 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.63093 | + | 2.82486i | −0.0533657 | + | 0.0924322i | ||||
\(935\) | 0.154477 | − | 0.267561i | 0.00505193 | − | 0.00875019i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −49.4626 | −1.61587 | −0.807937 | − | 0.589269i | \(-0.799416\pi\) | ||||
−0.807937 | + | 0.589269i | \(0.799416\pi\) | |||||||
\(938\) | −12.8923 | + | 26.3814i | −0.420949 | + | 0.861383i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.11256 | − | 3.65906i | −0.0689041 | − | 0.119345i | ||||
\(941\) | 21.2525 | − | 36.8105i | 0.692813 | − | 1.19999i | −0.278100 | − | 0.960552i | \(-0.589705\pi\) |
0.970912 | − | 0.239435i | \(-0.0769621\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −34.6234 | − | 59.9695i | −1.12749 | − | 1.95288i | ||||
\(944\) | 31.4449 | 1.02344 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.76116 | 0.0572603 | ||||||||
\(947\) | −8.90497 | − | 15.4239i | −0.289373 | − | 0.501208i | 0.684288 | − | 0.729212i | \(-0.260113\pi\) |
−0.973660 | + | 0.228004i | \(0.926780\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.162325 | + | 0.281155i | −0.00526928 | + | 0.00912667i | ||||
\(950\) | −0.673518 | − | 1.16657i | −0.0218518 | − | 0.0378485i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 5.48965 | + | 8.15232i | 0.177921 | + | 0.264218i | ||||
\(953\) | −23.4897 | −0.760904 | −0.380452 | − | 0.924801i | \(-0.624232\pi\) | ||||
−0.380452 | + | 0.924801i | \(0.624232\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.11256 | + | 3.65906i | −0.0683608 | + | 0.118404i | ||||
\(956\) | 1.87477 | − | 3.24720i | 0.0606345 | − | 0.105022i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −17.7562 | −0.573676 | ||||||||
\(959\) | 22.5484 | + | 33.4852i | 0.728127 | + | 1.08129i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.38209 | − | 14.5182i | −0.270390 | − | 0.468329i | ||||
\(962\) | 4.18387 | − | 7.24667i | 0.134893 | − | 0.233642i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.63227 | − | 13.2195i | −0.245819 | − | 0.425771i | ||||
\(965\) | −6.54343 | −0.210641 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −15.5040 | −0.498575 | −0.249288 | − | 0.968429i | \(-0.580196\pi\) | ||||
−0.249288 | + | 0.968429i | \(0.580196\pi\) | |||||||
\(968\) | −16.7749 | − | 29.0549i | −0.539165 | − | 0.933861i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.11256 | + | 8.85521i | −0.164154 | + | 0.284324i | ||||
\(971\) | 13.4690 | + | 23.3289i | 0.432239 | + | 0.748661i | 0.997066 | − | 0.0765492i | \(-0.0243902\pi\) |
−0.564826 | + | 0.825210i | \(0.691057\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −14.1498 | + | 28.9546i | −0.453622 | + | 0.928242i | ||||
\(974\) | −8.49634 | −0.272240 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −14.4977 | + | 25.1107i | −0.464059 | + | 0.803774i | ||||
\(977\) | 21.8636 | − | 37.8688i | 0.699478 | − | 1.21153i | −0.269170 | − | 0.963093i | \(-0.586749\pi\) |
0.968648 | − | 0.248438i | \(-0.0799174\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.61488 | −0.115532 | ||||||||
\(980\) | 2.29709 | + | 2.94952i | 0.0733779 | + | 0.0942191i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −13.1456 | − | 22.7689i | −0.419494 | − | 0.726585i | ||||
\(983\) | −8.63846 | + | 14.9623i | −0.275524 | + | 0.477222i | −0.970267 | − | 0.242036i | \(-0.922185\pi\) |
0.694743 | + | 0.719258i | \(0.255518\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 8.58468 | + | 14.8691i | 0.273531 | + | 0.473769i | ||||
\(986\) | −4.87175 | −0.155148 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.442564 | 0.0140798 | ||||||||
\(989\) | −22.3951 | − | 38.7895i | −0.712124 | − | 1.23344i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −20.6037 | + | 35.6867i | −0.654499 | + | 1.13363i | 0.327520 | + | 0.944844i | \(0.393787\pi\) |
−0.982019 | + | 0.188781i | \(0.939546\pi\) | |||||||
\(992\) | −10.1313 | − | 17.5479i | −0.321668 | − | 0.557146i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −33.8359 | + | 2.33978i | −1.07321 | + | 0.0742133i | ||||
\(995\) | −25.0030 | −0.792649 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.68387 | − | 8.11269i | 0.148340 | − | 0.256932i | −0.782274 | − | 0.622934i | \(-0.785940\pi\) |
0.930614 | + | 0.366002i | \(0.119274\pi\) | |||||||
\(998\) | 6.86055 | − | 11.8828i | 0.217167 | − | 0.376144i | ||||
\(999\) | 0 | 0 |
(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 | 315.2.j.f.46.2 | ✓ | 6 | |
3.2 | odd | 2 | 315.2.j.g.46.2 | yes | 6 | ||
7.2 | even | 3 | inner | 315.2.j.f.226.2 | yes | 6 | |
7.3 | odd | 6 | 2205.2.a.bd.1.2 | 3 | |||
7.4 | even | 3 | 2205.2.a.be.1.2 | 3 | |||
21.2 | odd | 6 | 315.2.j.g.226.2 | yes | 6 | ||
21.11 | odd | 6 | 2205.2.a.bb.1.2 | 3 | |||
21.17 | even | 6 | 2205.2.a.bc.1.2 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.j.f.46.2 | ✓ | 6 | 1.1 | even | 1 | trivial | |
315.2.j.f.226.2 | yes | 6 | 7.2 | even | 3 | inner | |
315.2.j.g.46.2 | yes | 6 | 3.2 | odd | 2 | ||
315.2.j.g.226.2 | yes | 6 | 21.2 | odd | 6 | ||
2205.2.a.bb.1.2 | 3 | 21.11 | odd | 6 | |||
2205.2.a.bc.1.2 | 3 | 21.17 | even | 6 | |||
2205.2.a.bd.1.2 | 3 | 7.3 | odd | 6 | |||
2205.2.a.be.1.2 | 3 | 7.4 | even | 3 |