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.g.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 | 0.996701 | − | 0.0811568i | \(-0.0258614\pi\) |
−0.568635 | + | 0.822590i | \(0.692528\pi\) | |||||||
\(3\) | 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 | −0.846150 | − | 0.532945i | \(-0.821085\pi\) |
0.884619 | + | 0.466315i | \(0.154419\pi\) | |||||||
\(12\) | 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 | −0.930053 | − | 0.367426i | \(-0.880239\pi\) |
0.783227 | + | 0.621736i | \(0.213572\pi\) | |||||||
\(18\) | 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 | \(0.138909\pi\) |
−0.0870916 | + | 0.996200i | \(0.527757\pi\) | |||||||
\(24\) | 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 | \(-0.599848\pi\) | ||||
−0.308562 | + | 0.951204i | \(0.599848\pi\) | |||||||
\(30\) | 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 | \(-0.741589\pi\) | ||||
−0.688177 | + | 0.725543i | \(0.741589\pi\) | |||||||
\(42\) | 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 | \(-0.970897\pi\) |
0.418842 | − | 0.908059i | \(-0.362436\pi\) | |||||||
\(48\) | 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 | −0.770810 | − | 0.637066i | \(-0.780148\pi\) |
0.937120 | + | 0.349008i | \(0.113481\pi\) | |||||||
\(54\) | 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 | \(0.448109\pi\) |
−0.935693 | + | 0.352816i | \(0.885224\pi\) | |||||||
\(60\) | 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 | \(-0.716238\pi\) | ||||
−0.628273 | + | 0.777993i | \(0.716238\pi\) | |||||||
\(72\) | 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 | \(-0.690787\pi\) | ||||
−0.564128 | + | 0.825688i | \(0.690787\pi\) | |||||||
\(84\) | 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 | \(-0.896328\pi\) |
0.196614 | − | 0.980481i | \(-0.437005\pi\) | |||||||
\(90\) | 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 | \(-0.666161\pi\) |
0.999999 | − | 0.00158781i | \(-0.000505415\pi\) | |||||||
\(102\) | 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 | \(0.121633\pi\) |
−0.141005 | + | 0.990009i | \(0.545033\pi\) | |||||||
\(108\) | 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 | \(-0.601210\pi\) | ||||
−0.312631 | + | 0.949875i | \(0.601210\pi\) | |||||||
\(114\) | 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 | \(0.214412\pi\) |
0.149433 | + | 0.988772i | \(0.452255\pi\) | |||||||
\(132\) | 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 | \(-0.607348\pi\) |
0.982686 | − | 0.185277i | \(-0.0593183\pi\) | |||||||
\(138\) | 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 | \(0.0781501\pi\) |
−0.274513 | + | 0.961583i | \(0.588517\pi\) | |||||||
\(150\) | 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 | \(-0.354103\pi\) | ||||
0.442467 | + | 0.896785i | \(0.354103\pi\) | |||||||
\(168\) | 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 | 0.603574 | − | 0.797307i | \(-0.293743\pi\) |
−0.992275 | + | 0.124057i | \(0.960409\pi\) | |||||||
\(174\) | 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 | −0.899525 | − | 0.436868i | \(-0.856088\pi\) |
0.828102 | + | 0.560578i | \(0.189421\pi\) | |||||||
\(180\) | 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 | 0.932278 | − | 0.361744i | \(-0.117819\pi\) |
−0.779418 | + | 0.626504i | \(0.784485\pi\) | |||||||
\(192\) | 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 | \(-0.290513\pi\) | ||||
0.611633 | + | 0.791141i | \(0.290513\pi\) | |||||||
\(198\) | 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 | −0.911305 | − | 0.411732i | \(-0.864924\pi\) |
0.812223 | + | 0.583347i | \(0.198257\pi\) | |||||||
\(228\) | 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 | 0.610360 | − | 0.792124i | \(-0.291025\pi\) |
−0.991180 | + | 0.132525i | \(0.957692\pi\) | |||||||
\(234\) | 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 | \(-0.572913\pi\) | ||||
−0.227066 | + | 0.973879i | \(0.572913\pi\) | |||||||
\(240\) | 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 | \(-0.454841\pi\) | ||||
0.141397 | + | 0.989953i | \(0.454841\pi\) | |||||||
\(252\) | 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 | \(-0.861569\pi\) |
0.0885901 | − | 0.996068i | \(-0.471764\pi\) | |||||||
\(258\) | 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 | −0.649046 | − | 0.760749i | \(-0.724832\pi\) |
0.983351 | + | 0.181716i | \(0.0581652\pi\) | |||||||
\(264\) | 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 | \(-0.510506\pi\) |
0.882053 | − | 0.471150i | \(-0.156161\pi\) | |||||||
\(270\) | 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 | \(-0.783224\pi\) | ||||
−0.776930 | + | 0.629587i | \(0.783224\pi\) | |||||||
\(282\) | 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 | \(-0.346768\pi\) | ||||
0.463014 | + | 0.886351i | \(0.346768\pi\) | |||||||
\(294\) | 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 | \(-0.645173\pi\) |
0.997721 | − | 0.0674737i | \(-0.0214939\pi\) | |||||||
\(312\) | 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 | 0.779548 | − | 0.626342i | \(-0.215449\pi\) |
−0.932203 | + | 0.361937i | \(0.882116\pi\) | |||||||
\(318\) | 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 | −0.593030 | − | 0.805181i | \(-0.702068\pi\) |
0.993822 | + | 0.110988i | \(0.0354016\pi\) | |||||||
\(348\) | 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 | −0.742853 | − | 0.669455i | \(-0.766528\pi\) |
0.951191 | + | 0.308602i | \(0.0998610\pi\) | |||||||
\(354\) | 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 | 0.932854 | − | 0.360254i | \(-0.117310\pi\) |
−0.778416 | + | 0.627749i | \(0.783976\pi\) | |||||||
\(360\) | 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 | \(0.0837714\pi\) |
−0.257489 | + | 0.966281i | \(0.582895\pi\) | |||||||
\(384\) | 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 | −0.971718 | − | 0.236146i | \(-0.924116\pi\) |
0.690367 | + | 0.723459i | \(0.257449\pi\) | |||||||
\(390\) | 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 | \(-0.934450\pi\) |
0.312352 | − | 0.949966i | \(-0.398883\pi\) | |||||||
\(402\) | 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 | \(-0.133310\pi\) | ||||
0.913575 | + | 0.406671i | \(0.133310\pi\) | |||||||
\(420\) | 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 | −0.999998 | − | 0.00184744i | \(-0.999412\pi\) |
0.501599 | + | 0.865100i | \(0.332745\pi\) | |||||||
\(432\) | 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 | 0.928450 | − | 0.371457i | \(-0.121142\pi\) |
−0.785916 | + | 0.618333i | \(0.787808\pi\) | |||||||
\(444\) | 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 | \(-0.374941\pi\) | ||||
0.382855 | + | 0.923808i | \(0.374941\pi\) | |||||||
\(450\) | 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 | \(-0.387668\pi\) | ||||
0.345623 | + | 0.938373i | \(0.387668\pi\) | |||||||
\(462\) | 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 | 0.895508 | − | 0.445045i | \(-0.146812\pi\) |
−0.833175 | + | 0.553010i | \(0.813479\pi\) | |||||||
\(468\) | 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 | −0.983492 | − | 0.180950i | \(-0.942083\pi\) |
0.648454 | + | 0.761254i | \(0.275416\pi\) | |||||||
\(480\) | 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 | \(-0.662998\pi\) | ||||
−0.489987 | + | 0.871730i | \(0.662998\pi\) | |||||||
\(492\) | 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 | \(-0.483572\pi\) | ||||
0.0515870 | + | 0.998669i | \(0.483572\pi\) | |||||||
\(504\) | 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 | 0.759492 | − | 0.650517i | \(-0.225448\pi\) |
−0.943110 | + | 0.332481i | \(0.892114\pi\) | |||||||
\(510\) | 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 | −0.586256 | − | 0.810126i | \(-0.699399\pi\) |
0.994718 | + | 0.102649i | \(0.0327320\pi\) | |||||||
\(522\) | 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 | \(0.444210\pi\) |
−0.939944 | + | 0.341329i | \(0.889123\pi\) | |||||||
\(558\) | 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 | \(-0.666399\pi\) |
1.00000 | 0.000841928i | \(-0.000267994\pi\) | ||||||||
\(564\) | 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 | 0.563642 | − | 0.826019i | \(-0.309400\pi\) |
−0.997175 | + | 0.0751185i | \(0.976066\pi\) | |||||||
\(570\) | 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 | \(-0.605505\pi\) | ||||
−0.325419 | + | 0.945570i | \(0.605505\pi\) | |||||||
\(588\) | 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 | 0.518569 | − | 0.855036i | \(-0.326465\pi\) |
−0.999767 | + | 0.0215763i | \(0.993132\pi\) | |||||||
\(594\) | 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 | −0.731398 | − | 0.681951i | \(-0.761132\pi\) |
0.956286 | + | 0.292434i | \(0.0944651\pi\) | |||||||
\(600\) | 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 | \(-0.662488\pi\) | ||||
−0.488588 | + | 0.872514i | \(0.662488\pi\) | |||||||
\(618\) | 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 | −0.976855 | − | 0.213900i | \(-0.931383\pi\) |
0.673671 | + | 0.739031i | \(0.264717\pi\) | |||||||
\(642\) | 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 | −0.919595 | − | 0.392868i | \(-0.871483\pi\) |
0.800031 | + | 0.599959i | \(0.204816\pi\) | |||||||
\(648\) | 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 | 0.809841 | − | 0.586649i | \(-0.199553\pi\) |
−0.912974 | + | 0.408018i | \(0.866220\pi\) | |||||||
\(654\) | 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 | \(-0.835854\pi\) | ||||
−0.869958 | + | 0.493127i | \(0.835854\pi\) | |||||||
\(660\) | 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 | 0.997160 | − | 0.0753081i | \(-0.0239940\pi\) |
−0.563799 | + | 0.825912i | \(0.690661\pi\) | |||||||
\(678\) | 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 | −0.797963 | − | 0.602706i | \(-0.794089\pi\) |
0.920940 | + | 0.389703i | \(0.127422\pi\) | |||||||
\(684\) | 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 | \(-0.201790\pi\) | ||||
0.805699 | + | 0.592325i | \(0.201790\pi\) | |||||||
\(702\) | 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 | 0.832084 | − | 0.554650i | \(-0.187148\pi\) |
−0.896383 | + | 0.443281i | \(0.853815\pi\) | |||||||
\(720\) | 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 | \(-0.602786\pi\) | ||||
−0.317330 | + | 0.948315i | \(0.602786\pi\) | |||||||
\(744\) | 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 | 0.826998 | − | 0.562204i | \(-0.190047\pi\) |
−0.900382 | + | 0.435099i | \(0.856713\pi\) | |||||||
\(762\) | 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 | −0.882000 | − | 0.471249i | \(-0.843803\pi\) |
0.849114 | + | 0.528210i | \(0.177137\pi\) | |||||||
\(774\) | 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 | \(-0.506058\pi\) | ||||
−0.0190299 | + | 0.999819i | \(0.506058\pi\) | |||||||
\(798\) | 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 | \(0.461004\pi\) |
−0.920636 | + | 0.390421i | \(0.872329\pi\) | |||||||
\(810\) | 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 | \(0.110190\pi\) |
−0.176498 | + | 0.984301i | \(0.556477\pi\) | |||||||
\(822\) | 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 | \(-0.677137\pi\) | ||||
−0.528210 | + | 0.849114i | \(0.677137\pi\) | |||||||
\(828\) | 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 | \(-0.285877\pi\) | ||||
0.623090 | + | 0.782150i | \(0.285877\pi\) | |||||||
\(840\) | 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 | −0.759381 | − | 0.650647i | \(-0.774498\pi\) |
0.943167 | + | 0.332320i | \(0.107831\pi\) | |||||||
\(858\) | 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 | 0.669773 | − | 0.742566i | \(-0.266391\pi\) |
−0.977967 | + | 0.208758i | \(0.933058\pi\) | |||||||
\(864\) | 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 | \(-0.715278\pi\) | ||||
−0.625925 | + | 0.779883i | \(0.715278\pi\) | |||||||
\(882\) | 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 | \(0.0639195\pi\) |
−0.317213 | + | 0.948354i | \(0.602747\pi\) | |||||||
\(888\) | 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 | \(-0.302455\pi\) | ||||
0.581528 | + | 0.813526i | \(0.302455\pi\) | |||||||
\(912\) | 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 | 0.653648 | − | 0.756798i | \(-0.273238\pi\) |
−0.982231 | + | 0.187677i | \(0.939904\pi\) | |||||||
\(930\) | 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 | \(0.410295\pi\) |
−0.970912 | + | 0.239435i | \(0.923038\pi\) | |||||||
\(942\) | 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 | 0.973660 | − | 0.228004i | \(-0.0732200\pi\) |
−0.684288 | + | 0.729212i | \(0.739887\pi\) | |||||||
\(948\) | 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 | \(-0.375768\pi\) | ||||
0.380452 | + | 0.924801i | \(0.375768\pi\) | |||||||
\(954\) | 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 | 0.564826 | − | 0.825210i | \(-0.308943\pi\) |
−0.997066 | + | 0.0765492i | \(0.975610\pi\) | |||||||
\(972\) | 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 | \(0.413251\pi\) |
−0.968648 | + | 0.248438i | \(0.920083\pi\) | |||||||
\(978\) | 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 | −0.694743 | − | 0.719258i | \(-0.744482\pi\) |
0.970267 | + | 0.242036i | \(0.0778153\pi\) | |||||||
\(984\) | 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.g.46.2 | yes | 6 | |
3.2 | odd | 2 | 315.2.j.f.46.2 | ✓ | 6 | ||
7.2 | even | 3 | inner | 315.2.j.g.226.2 | yes | 6 | |
7.3 | odd | 6 | 2205.2.a.bc.1.2 | 3 | |||
7.4 | even | 3 | 2205.2.a.bb.1.2 | 3 | |||
21.2 | odd | 6 | 315.2.j.f.226.2 | yes | 6 | ||
21.11 | odd | 6 | 2205.2.a.be.1.2 | 3 | |||
21.17 | even | 6 | 2205.2.a.bd.1.2 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.j.f.46.2 | ✓ | 6 | 3.2 | odd | 2 | ||
315.2.j.f.226.2 | yes | 6 | 21.2 | odd | 6 | ||
315.2.j.g.46.2 | yes | 6 | 1.1 | even | 1 | trivial | |
315.2.j.g.226.2 | yes | 6 | 7.2 | even | 3 | inner | |
2205.2.a.bb.1.2 | 3 | 7.4 | even | 3 | |||
2205.2.a.bc.1.2 | 3 | 7.3 | odd | 6 | |||
2205.2.a.bd.1.2 | 3 | 21.17 | even | 6 | |||
2205.2.a.be.1.2 | 3 | 21.11 | odd | 6 |