Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [592,2,Mod(319,592)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(592, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("592.319");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 592 = 2^{4} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 592.be (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.72714379966\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 46 x^{18} + 885 x^{16} + 9292 x^{14} + 58264 x^{12} + 224256 x^{10} + 523884 x^{8} + 706272 x^{6} + \cdots + 144 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 399.3 | ||
Root | \(0.873351i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 592.399 |
Dual form | 592.2.be.f.319.3 |
$q$-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 \(\left(\mathbb{Z}/592\mathbb{Z}\right)^\times\).
\(n\) | \(113\) | \(149\) | \(223\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) | \(1\) | \(-1\) |
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 | 0 | ||||||||
\(3\) | 0.436676 | − | 0.756344i | 0.252115 | − | 0.436676i | −0.711993 | − | 0.702186i | \(-0.752207\pi\) |
0.964108 | + | 0.265511i | \(0.0855406\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.192218 | − | 0.717368i | −0.0859626 | − | 0.320817i | 0.909532 | − | 0.415634i | \(-0.136440\pi\) |
−0.995495 | + | 0.0948169i | \(0.969773\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.90253 | + | 1.09843i | 0.719088 | + | 0.415166i | 0.814417 | − | 0.580280i | \(-0.197057\pi\) |
−0.0953288 | + | 0.995446i | \(0.530390\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.11863 | + | 1.93752i | 0.372876 | + | 0.645841i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.68860 | 0.509131 | 0.254566 | − | 0.967056i | \(-0.418068\pi\) | ||||
0.254566 | + | 0.967056i | \(0.418068\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.56403 | + | 5.83705i | 0.433785 | + | 1.61891i | 0.743958 | + | 0.668226i | \(0.232946\pi\) |
−0.310174 | + | 0.950680i | \(0.600387\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.626514 | − | 0.167874i | −0.161765 | − | 0.0433449i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.60692 | − | 1.23442i | −1.11734 | − | 0.299391i | −0.347535 | − | 0.937667i | \(-0.612981\pi\) |
−0.769807 | + | 0.638276i | \(0.779648\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.93040 | − | 1.05315i | 0.901696 | − | 0.241609i | 0.221951 | − | 0.975058i | \(-0.428757\pi\) |
0.679744 | + | 0.733449i | \(0.262091\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.66158 | − | 0.959311i | 0.362586 | − | 0.209339i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.76297 | − | 5.76297i | −1.20166 | − | 1.20166i | −0.973661 | − | 0.228002i | \(-0.926781\pi\) |
−0.228002 | − | 0.973661i | \(-0.573219\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.85246 | − | 2.22422i | 0.770492 | − | 0.444844i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.57397 | 0.880260 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.98118 | + | 5.98118i | 1.11068 | + | 1.11068i | 0.993059 | + | 0.117619i | \(0.0375263\pi\) |
0.117619 | + | 0.993059i | \(0.462474\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.55406 | − | 7.55406i | 1.35675 | − | 1.35675i | 0.478856 | − | 0.877893i | \(-0.341052\pi\) |
0.877893 | − | 0.478856i | \(-0.158948\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.737369 | − | 1.27716i | 0.128359 | − | 0.222325i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.422275 | − | 1.57595i | 0.0713774 | − | 0.266384i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.44496 | + | 2.71152i | −0.895147 | + | 0.445772i | ||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.09779 | + | 1.36595i | 0.816300 | + | 0.218727i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −4.64651 | − | 2.68266i | −0.725662 | − | 0.418961i | 0.0911709 | − | 0.995835i | \(-0.470939\pi\) |
−0.816833 | + | 0.576874i | \(0.804272\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.512617 | − | 0.512617i | −0.0781734 | − | 0.0781734i | 0.666939 | − | 0.745112i | \(-0.267604\pi\) |
−0.745112 | + | 0.666939i | \(0.767604\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.17490 | − | 1.17490i | 0.175143 | − | 0.175143i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10.8893i | 1.58837i | 0.607675 | + | 0.794186i | \(0.292102\pi\) | ||||
−0.607675 | + | 0.794186i | \(0.707898\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.08692 | − | 1.88261i | −0.155275 | − | 0.268944i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.94538 | + | 2.94538i | −0.412435 | + | 0.412435i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.799717 | + | 1.38515i | 0.109850 | + | 0.190265i | 0.915709 | − | 0.401842i | \(-0.131630\pi\) |
−0.805860 | + | 0.592107i | \(0.798296\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.324579 | − | 1.21135i | −0.0437662 | − | 0.163338i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.919768 | − | 3.43262i | 0.121826 | − | 0.454662i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.25497 | − | 12.1477i | 0.423761 | − | 1.58150i | −0.342852 | − | 0.939390i | \(-0.611393\pi\) |
0.766613 | − | 0.642109i | \(-0.221941\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.62960 | + | 0.704598i | −0.336685 | + | 0.0902146i | −0.423201 | − | 0.906036i | \(-0.639093\pi\) |
0.0865154 | + | 0.996251i | \(0.472427\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.91492i | 0.619222i | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.88668 | − | 2.24397i | 0.482083 | − | 0.278331i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.515094 | + | 0.892169i | −0.0629288 | + | 0.108996i | −0.895773 | − | 0.444511i | \(-0.853377\pi\) |
0.832845 | + | 0.553507i | \(0.186711\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −6.87534 | + | 1.84224i | −0.827694 | + | 0.221780i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.02351 | − | 1.16828i | −0.240147 | − | 0.138649i | 0.375097 | − | 0.926985i | \(-0.377609\pi\) |
−0.615244 | + | 0.788336i | \(0.710943\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.19366i | 0.724913i | 0.932001 | + | 0.362456i | \(0.118062\pi\) | ||||
−0.932001 | + | 0.362456i | \(0.881938\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | − | 3.88505i | − | 0.448607i | ||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.21260 | + | 1.85480i | 0.366110 | + | 0.211374i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.6758 | + | 3.12852i | −1.31363 | + | 0.351987i | −0.846589 | − | 0.532248i | \(-0.821347\pi\) |
−0.467043 | + | 0.884235i | \(0.654681\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.35855 | + | 2.35307i | −0.150950 | + | 0.261453i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −5.53320 | + | 3.19459i | −0.607347 | + | 0.350652i | −0.771926 | − | 0.635712i | \(-0.780707\pi\) |
0.164579 | + | 0.986364i | \(0.447373\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.54213i | 0.384198i | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 7.13567 | − | 1.91200i | 0.765024 | − | 0.204988i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.03430 | − | 3.86007i | 0.109636 | − | 0.409167i | −0.889194 | − | 0.457530i | \(-0.848734\pi\) |
0.998830 | + | 0.0483639i | \(0.0154007\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.43595 | + | 12.8231i | −0.360185 | + | 1.34423i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.41480 | − | 9.01215i | −0.250403 | − | 0.934516i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.51099 | − | 2.61711i | −0.155024 | − | 0.268510i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.1153 | − | 10.1153i | 1.02706 | − | 1.02706i | 0.0274339 | − | 0.999624i | \(-0.491266\pi\) |
0.999624 | − | 0.0274339i | \(-0.00873358\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.88891 | + | 3.27169i | 0.189843 | + | 0.328818i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.85174i | 0.980285i | 0.871642 | + | 0.490143i | \(0.163055\pi\) | ||||
−0.871642 | + | 0.490143i | \(0.836945\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.50071 | + | 7.50071i | −0.739067 | + | 0.739067i | −0.972398 | − | 0.233330i | \(-0.925038\pi\) |
0.233330 | + | 0.972398i | \(0.425038\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.00756 | − | 1.00756i | −0.0983282 | − | 0.0983282i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −6.61288 | − | 3.81795i | −0.639291 | − | 0.369095i | 0.145050 | − | 0.989424i | \(-0.453666\pi\) |
−0.784341 | + | 0.620329i | \(0.786999\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.890624 | − | 0.238642i | −0.0853063 | − | 0.0228578i | 0.215913 | − | 0.976413i | \(-0.430727\pi\) |
−0.301220 | + | 0.953555i | \(0.597394\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.326838 | + | 5.30232i | −0.0310221 | + | 0.503274i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.98355 | − | 18.5989i | 0.468813 | − | 1.74963i | −0.175114 | − | 0.984548i | \(-0.556029\pi\) |
0.643927 | − | 0.765087i | \(-0.277304\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.02642 | + | 5.24192i | −0.282215 | + | 0.488811i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −9.55984 | + | 9.55984i | −0.883807 | + | 0.883807i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −7.40888 | − | 7.40888i | −0.679171 | − | 0.679171i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −8.14864 | −0.740786 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.05803 | + | 2.34291i | −0.365900 | + | 0.211253i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.96184 | − | 4.96184i | −0.443801 | − | 0.443801i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.18967 | − | 5.30566i | 0.815451 | − | 0.470801i | −0.0333941 | − | 0.999442i | \(-0.510632\pi\) |
0.848845 | + | 0.528641i | \(0.177298\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.611562 | + | 0.163868i | −0.0538451 | + | 0.0144277i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −14.0195 | − | 3.75651i | −1.22489 | − | 0.328208i | −0.412301 | − | 0.911048i | \(-0.635275\pi\) |
−0.812587 | + | 0.582840i | \(0.801941\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8.63450 | + | 2.31361i | 0.748706 | + | 0.200615i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.879199 | − | 3.28122i | −0.0756694 | − | 0.282402i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −4.48288 | −0.382998 | −0.191499 | − | 0.981493i | \(-0.561335\pi\) | ||||
−0.191499 | + | 0.981493i | \(0.561335\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.46404 | + | 5.99990i | 0.293816 | + | 0.508905i | 0.974709 | − | 0.223479i | \(-0.0717413\pi\) |
−0.680893 | + | 0.732383i | \(0.738408\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 8.23608 | + | 4.75510i | 0.693603 | + | 0.400452i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.64102 | + | 9.85642i | 0.220853 | + | 0.824235i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.14102 | − | 5.44040i | 0.260847 | − | 0.451801i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.89853 | −0.156588 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 13.2506 | 1.08553 | 0.542765 | − | 0.839885i | \(-0.317378\pi\) | ||||
0.542765 | + | 0.839885i | \(0.317378\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.02309 | + | 8.70025i | −0.408773 | + | 0.708016i | −0.994753 | − | 0.102310i | \(-0.967377\pi\) |
0.585979 | + | 0.810326i | \(0.300710\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.76172 | − | 10.3069i | −0.223272 | − | 0.833261i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.87107 | − | 3.96701i | −0.551897 | − | 0.318638i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.71959 | − | 9.90663i | −0.456473 | − | 0.790635i | 0.542298 | − | 0.840186i | \(-0.317554\pi\) |
−0.998772 | + | 0.0495511i | \(0.984221\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.39687 | 0.110779 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.63402 | − | 17.2944i | −0.365212 | − | 1.36299i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.7505 | + | 3.68444i | 1.07702 | + | 0.288588i | 0.753376 | − | 0.657589i | \(-0.228424\pi\) |
0.323648 | + | 0.946177i | \(0.395091\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.05793 | − | 0.283471i | −0.0823597 | − | 0.0220682i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −16.9856 | + | 4.55127i | −1.31438 | + | 0.352188i | −0.846871 | − | 0.531799i | \(-0.821516\pi\) |
−0.467512 | + | 0.883987i | \(0.654849\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −20.3666 | + | 11.7587i | −1.56666 | + | 0.904513i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 6.43716 | + | 6.43716i | 0.492262 | + | 0.492262i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.07038 | + | 1.77269i | −0.233437 | + | 0.134775i | −0.612157 | − | 0.790737i | \(-0.709698\pi\) |
0.378720 | + | 0.925511i | \(0.376364\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.77255 | 0.738735 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −7.76650 | − | 7.76650i | −0.583766 | − | 0.583766i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −9.71319 | + | 9.71319i | −0.725998 | + | 0.725998i | −0.969820 | − | 0.243822i | \(-0.921599\pi\) |
0.243822 | + | 0.969820i | \(0.421599\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.0861 | + | 17.4697i | −0.749695 | + | 1.29851i | 0.198273 | + | 0.980147i | \(0.436467\pi\) |
−0.947969 | + | 0.318364i | \(0.896867\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.615362 | + | 2.29656i | −0.0454889 | + | 0.169767i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.99178 | + | 3.38484i | 0.219960 | + | 0.248858i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.77923 | − | 2.08444i | −0.568874 | − | 0.152429i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 8.70210 | + | 5.02416i | 0.632985 | + | 0.365454i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.9133 | − | 11.9133i | −0.862020 | − | 0.862020i | 0.129553 | − | 0.991573i | \(-0.458646\pi\) |
−0.991573 | + | 0.129553i | \(0.958646\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.5013 | + | 14.5013i | −1.04382 | + | 1.04382i | −0.0448302 | + | 0.998995i | \(0.514275\pi\) |
−0.998995 | + | 0.0448302i | \(0.985725\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | − | 3.91955i | − | 0.280685i | ||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.186018 | − | 0.322192i | −0.0132532 | − | 0.0229553i | 0.859323 | − | 0.511434i | \(-0.170885\pi\) |
−0.872576 | + | 0.488478i | \(0.837552\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.4592 | − | 11.4592i | 0.812320 | − | 0.812320i | −0.172661 | − | 0.984981i | \(-0.555237\pi\) |
0.984981 | + | 0.172661i | \(0.0552366\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.449858 | + | 0.779177i | 0.0317306 | + | 0.0549589i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.80949 | + | 17.9493i | 0.337560 | + | 1.25979i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.03131 | + | 3.84891i | −0.0720300 | + | 0.268820i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.71926 | − | 17.6125i | 0.328011 | − | 1.22415i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.63686 | − | 1.77834i | 0.459081 | − | 0.123011i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 26.7975i | − | 1.84481i | −0.386220 | − | 0.922407i | \(-0.626219\pi\) | ||
0.386220 | − | 0.922407i | \(-0.373781\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −1.76724 | + | 1.02032i | −0.121089 | + | 0.0699109i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.269201 | + | 0.466269i | −0.0183593 | + | 0.0317993i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 22.6694 | − | 6.07424i | 1.53890 | − | 0.412347i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 4.68454 | + | 2.70462i | 0.316552 | + | 0.182761i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − | 28.8215i | − | 1.93874i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 7.22652i | − | 0.483924i | −0.970286 | − | 0.241962i | \(-0.922209\pi\) | ||
0.970286 | − | 0.241962i | \(-0.0777909\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.61894 | + | 4.97615i | 0.574596 | + | 0.331743i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.10125 | − | 0.563028i | 0.139465 | − | 0.0373695i | −0.188411 | − | 0.982090i | \(-0.560334\pi\) |
0.327876 | + | 0.944721i | \(0.393667\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.02169 | − | 12.1619i | 0.464006 | − | 0.803682i | −0.535150 | − | 0.844757i | \(-0.679745\pi\) |
0.999156 | + | 0.0410747i | \(0.0130782\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.80573 | − | 1.61989i | 0.184604 | − | 0.106581i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.1654i | 0.796980i | 0.917173 | + | 0.398490i | \(0.130466\pi\) | ||||
−0.917173 | + | 0.398490i | \(0.869534\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.81165 | − | 2.09313i | 0.509576 | − | 0.136540i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.73230 | + | 10.1971i | −0.177482 | + | 0.662372i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.84019 | − | 10.5997i | 0.183717 | − | 0.685640i | −0.811185 | − | 0.584790i | \(-0.801177\pi\) |
0.994902 | − | 0.100850i | \(-0.0321563\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.87024 | − | 6.97984i | −0.120473 | − | 0.449611i | 0.879165 | − | 0.476517i | \(-0.158101\pi\) |
−0.999638 | + | 0.0269065i | \(0.991434\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 8.04744 | + | 13.9386i | 0.516243 | + | 0.894160i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.14160 | + | 1.14160i | −0.0729339 | + | 0.0729339i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 12.2945 | + | 21.2948i | 0.782283 | + | 1.35495i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.58000i | 0.353618i | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.14918 | − | 1.14918i | 0.0725359 | − | 0.0725359i | −0.669908 | − | 0.742444i | \(-0.733667\pi\) |
0.742444 | + | 0.669908i | \(0.233667\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −9.73133 | − | 9.73133i | −0.611804 | − | 0.611804i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.67907 | + | 1.54676i | 0.167770 | + | 0.0968621i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.6024 | + | 3.91271i | 0.910875 | + | 0.244068i | 0.683681 | − | 0.729781i | \(-0.260378\pi\) |
0.227194 | + | 0.973849i | \(0.427045\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −13.3376 | − | 0.822136i | −0.828759 | − | 0.0510850i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −4.89795 | + | 18.2794i | −0.303176 | + | 1.13147i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −4.87275 | + | 8.43985i | −0.300467 | + | 0.520423i | −0.976242 | − | 0.216684i | \(-0.930476\pi\) |
0.675775 | + | 0.737108i | \(0.263809\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.839942 | − | 0.839942i | 0.0515972 | − | 0.0515972i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.46789 | − | 2.46789i | −0.151032 | − | 0.151032i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 18.0779 | 1.10223 | 0.551114 | − | 0.834430i | \(-0.314203\pi\) | ||||
0.551114 | + | 0.834430i | \(0.314203\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.939520 | − | 0.542432i | 0.0570718 | − | 0.0329504i | −0.471193 | − | 0.882030i | \(-0.656176\pi\) |
0.528264 | + | 0.849080i | \(0.322843\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 8.19830 | + | 8.19830i | 0.496184 | + | 0.496184i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.50525 | − | 3.75581i | 0.392281 | − | 0.226484i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.4235 | + | 2.79296i | −0.626285 | + | 0.167813i | −0.557983 | − | 0.829852i | \(-0.688425\pi\) |
−0.0683018 | + | 0.997665i | \(0.521758\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 23.0864 | + | 6.18597i | 1.38214 | + | 0.370344i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −4.87187 | − | 1.30541i | −0.290631 | − | 0.0778744i | 0.110558 | − | 0.993870i | \(-0.464736\pi\) |
−0.401189 | + | 0.915995i | \(0.631403\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.81548 | + | 14.2396i | 0.226807 | + | 0.846454i | 0.981673 | + | 0.190575i | \(0.0610353\pi\) |
−0.754866 | + | 0.655879i | \(0.772298\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −2.63925 | −0.156336 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.89341 | − | 10.2077i | −0.347877 | − | 0.602540i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.97749 | + | 2.87375i | 0.292793 | + | 0.169044i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.23356 | − | 12.0678i | −0.189555 | − | 0.707427i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −6.65410 | + | 11.5252i | −0.388736 | + | 0.673311i | −0.992280 | − | 0.124019i | \(-0.960422\pi\) |
0.603543 | + | 0.797330i | \(0.293755\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.34005 | −0.543799 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 7.72358 | 0.448168 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 24.6253 | − | 42.6522i | 1.42412 | − | 2.46664i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.412197 | − | 1.53834i | −0.0237586 | − | 0.0886684i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 7.45131 | + | 4.30202i | 0.428067 | + | 0.247144i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.01091 | + | 1.75095i | 0.0578847 | + | 0.100259i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.4350 | 0.766774 | 0.383387 | − | 0.923588i | \(-0.374758\pi\) | ||||
0.383387 | + | 0.923588i | \(0.374758\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.39774 | + | 8.94850i | 0.136403 | + | 0.509062i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 6.52982 | + | 1.74966i | 0.370272 | + | 0.0992141i | 0.439157 | − | 0.898411i | \(-0.355277\pi\) |
−0.0688846 | + | 0.997625i | \(0.521944\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.1552 | + | 3.25697i | 0.687050 | + | 0.184095i | 0.585423 | − | 0.810728i | \(-0.300928\pi\) |
0.101627 | + | 0.994823i | \(0.467595\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 3.52581 | − | 0.944737i | 0.198657 | − | 0.0532299i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 17.9989 | − | 10.3917i | 1.01092 | − | 0.583653i | 0.0994572 | − | 0.995042i | \(-0.468289\pi\) |
0.911460 | + | 0.411388i | \(0.134956\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.0998 | + | 10.0998i | 0.565481 | + | 0.565481i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −5.77537 | + | 3.33441i | −0.322349 | + | 0.186109i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −19.4071 | −1.07984 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 19.0082 | + | 19.0082i | 1.05439 | + | 1.05439i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −0.569409 | + | 0.569409i | −0.0314884 | + | 0.0314884i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −11.9611 | + | 20.7173i | −0.659437 | + | 1.14218i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.95916 | − | 7.31167i | 0.107685 | − | 0.401886i | −0.890951 | − | 0.454100i | \(-0.849961\pi\) |
0.998636 | + | 0.0522137i | \(0.0166277\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −11.3445 | − | 7.51655i | −0.621676 | − | 0.411904i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.739024 | + | 0.198021i | 0.0403772 | + | 0.0108190i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.16381 | − | 4.71338i | −0.444711 | − | 0.256754i | 0.260883 | − | 0.965370i | \(-0.415986\pi\) |
−0.705594 | + | 0.708616i | \(0.749320\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −11.8910 | − | 11.8910i | −0.645828 | − | 0.645828i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.7558 | − | 12.7558i | 0.690763 | − | 0.690763i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 20.1536i | − | 1.08819i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.64313 | + | 4.57804i | 0.142301 | + | 0.246473i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.88014 | − | 6.88014i | 0.369345 | − | 0.369345i | −0.497893 | − | 0.867238i | \(-0.665893\pi\) |
0.867238 | + | 0.497893i | \(0.165893\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 13.1388 | + | 22.7570i | 0.703303 | + | 1.21816i | 0.967301 | + | 0.253633i | \(0.0816255\pi\) |
−0.263998 | + | 0.964523i | \(0.585041\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.15383 | + | 26.6985i | 0.381843 | + | 1.42506i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1.31348 | − | 4.90196i | 0.0699093 | − | 0.260905i | −0.922122 | − | 0.386900i | \(-0.873546\pi\) |
0.992031 | + | 0.125995i | \(0.0402124\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.449128 | + | 1.67617i | −0.0238372 | + | 0.0889618i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −8.83894 | + | 2.36839i | −0.467806 | + | 0.125348i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 35.0629i | − | 1.85055i | −0.379300 | − | 0.925274i | \(-0.623835\pi\) | ||
0.379300 | − | 0.925274i | \(-0.376165\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.11555 | + | 1.22141i | −0.111345 | + | 0.0642849i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.55831 | + | 6.16318i | −0.186763 | + | 0.323483i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.44313 | − | 1.19053i | 0.232564 | − | 0.0623154i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.4831 | − | 6.05244i | −0.547216 | − | 0.315935i | 0.200783 | − | 0.979636i | \(-0.435651\pi\) |
−0.747998 | + | 0.663701i | \(0.768985\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 12.0036i | − | 0.624883i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.51372i | 0.182423i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.8222 | − | 7.40290i | −0.663909 | − | 0.383308i | 0.129856 | − | 0.991533i | \(-0.458548\pi\) |
−0.793765 | + | 0.608225i | \(0.791882\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.91958 | + | 1.58615i | −0.305686 | + | 0.0819082i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −25.5577 | + | 44.2672i | −1.31629 | + | 2.27988i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.73210 | + | 1.00003i | −0.0889720 | + | 0.0513680i | −0.543826 | − | 0.839198i | \(-0.683025\pi\) |
0.454854 | + | 0.890566i | \(0.349691\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | − | 9.26741i | − | 0.474784i | ||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −8.75712 | + | 2.34646i | −0.447468 | + | 0.119899i | −0.475514 | − | 0.879708i | \(-0.657738\pi\) |
0.0280463 | + | 0.999607i | \(0.491071\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.713051 | − | 2.66114i | 0.0363405 | − | 0.135624i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.419779 | − | 1.56664i | 0.0213385 | − | 0.0796365i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −8.39208 | − | 31.3197i | −0.425495 | − | 1.58797i | −0.762839 | − | 0.646588i | \(-0.776195\pi\) |
0.337344 | − | 0.941382i | \(-0.390472\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 19.4356 | + | 33.6635i | 0.982901 | + | 1.70244i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −8.96318 | + | 8.96318i | −0.452132 | + | 0.452132i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.48861 | + | 7.77449i | 0.225846 | + | 0.391177i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 18.9882i | − | 0.952990i | −0.879177 | − | 0.476495i | \(-0.841907\pi\) | ||
0.879177 | − | 0.476495i | \(-0.158093\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 5.52036 | − | 5.52036i | 0.276364 | − | 0.276364i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 0.651005 | + | 0.651005i | 0.0325096 | + | 0.0325096i | 0.723175 | − | 0.690665i | \(-0.242682\pi\) |
−0.690665 | + | 0.723175i | \(0.742682\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 55.9082 | + | 32.2786i | 2.78499 | + | 1.60791i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.94916 | + | 0.522275i | 0.0968543 | + | 0.0259520i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −9.19435 | + | 4.57867i | −0.455747 | + | 0.226956i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.57949 | − | 5.89475i | 0.0781010 | − | 0.291477i | −0.915818 | − | 0.401595i | \(-0.868456\pi\) |
0.993919 | + | 0.110118i | \(0.0351228\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.95756 | + | 3.39060i | −0.0965596 | + | 0.167246i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 19.5360 | − | 19.5360i | 0.961306 | − | 0.961306i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.35528 | + | 3.35528i | 0.164704 | + | 0.164704i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 6.05065 | 0.296302 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 28.1119 | − | 16.2304i | 1.37336 | − | 0.792909i | 0.382009 | − | 0.924159i | \(-0.375232\pi\) |
0.991349 | + | 0.131250i | \(0.0418991\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.367099 | − | 0.367099i | −0.0178913 | − | 0.0178913i | 0.698105 | − | 0.715996i | \(-0.254027\pi\) |
−0.715996 | + | 0.698105i | \(0.754027\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −21.0983 | + | 12.1811i | −1.02583 | + | 0.592266i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −20.4936 | + | 5.49124i | −0.994085 | + | 0.266364i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.77683 | − | 1.54790i | −0.279560 | − | 0.0749080i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 8.60812 | + | 2.30654i | 0.415604 | + | 0.111361i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.11449 | + | 4.15932i | 0.0536829 | + | 0.200347i | 0.987559 | − | 0.157250i | \(-0.0502628\pi\) |
−0.933876 | + | 0.357597i | \(0.883596\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 31.0318 | 1.49129 | 0.745647 | − | 0.666341i | \(-0.232141\pi\) | ||||
0.745647 | + | 0.666341i | \(0.232141\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −2.74321 | − | 4.75138i | −0.131527 | − | 0.227811i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −28.7200 | − | 16.5815i | −1.37387 | − | 0.793202i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.71636 | − | 28.7978i | −0.368282 | − | 1.37445i | −0.862917 | − | 0.505345i | \(-0.831365\pi\) |
0.494636 | − | 0.869100i | \(-0.335301\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.43173 | − | 4.21188i | 0.115797 | − | 0.200566i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −36.4750 | −1.73298 | −0.866491 | − | 0.499193i | \(-0.833630\pi\) | ||||
−0.866491 | + | 0.499193i | \(0.833630\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.96790 | −0.140692 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 5.78620 | − | 10.0220i | 0.273678 | − | 0.474024i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.92423 | − | 7.18134i | −0.0908103 | − | 0.338908i | 0.905541 | − | 0.424259i | \(-0.139466\pi\) |
−0.996351 | + | 0.0853509i | \(0.972799\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.84607 | − | 4.52993i | −0.369457 | − | 0.213306i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.38692 | + | 7.59837i | 0.206116 | + | 0.357003i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 9.85935 | 0.462213 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.48095 | + | 27.9193i | 0.349944 | + | 1.30601i | 0.886729 | + | 0.462290i | \(0.152972\pi\) |
−0.536785 | + | 0.843719i | \(0.680361\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −21.0719 | − | 5.64620i | −0.983552 | − | 0.263542i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.89938 | + | 0.776887i | 0.135038 | + | 0.0361832i | 0.325705 | − | 0.945472i | \(-0.394398\pi\) |
−0.190667 | + | 0.981655i | \(0.561065\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −19.7886 | + | 5.30234i | −0.919654 | + | 0.246420i | −0.687437 | − | 0.726244i | \(-0.741264\pi\) |
−0.232216 | + | 0.972664i | \(0.574598\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −6.00086 | + | 3.46460i | −0.278283 | + | 0.160667i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.35148 | − | 6.35148i | −0.293912 | − | 0.293912i | 0.544712 | − | 0.838623i | \(-0.316639\pi\) |
−0.838623 | + | 0.544712i | \(0.816639\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.95996 | + | 1.13159i | −0.0905027 | + | 0.0522517i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.99043 | −0.460335 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.865604 | − | 0.865604i | −0.0398005 | − | 0.0398005i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.7993 | − | 12.7993i | 0.587271 | − | 0.587271i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.78917 | + | 3.09894i | −0.0819206 | + | 0.141891i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 3.32574 | − | 12.4118i | 0.151957 | − | 0.567111i | −0.847390 | − | 0.530971i | \(-0.821827\pi\) |
0.999347 | − | 0.0361397i | \(-0.0115061\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −24.3434 | − | 27.5416i | −1.10996 | − | 1.25579i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −15.1041 | − | 4.04713i | −0.687260 | − | 0.184151i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −9.20077 | − | 5.31207i | −0.417786 | − | 0.241209i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.3539 | − | 17.3539i | −0.786382 | − | 0.786382i | 0.194517 | − | 0.980899i | \(-0.437686\pi\) |
−0.980899 | + | 0.194517i | \(0.937686\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 8.79123 | − | 8.79123i | 0.397553 | − | 0.397553i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 33.3114i | 1.50332i | 0.659549 | + | 0.751661i | \(0.270747\pi\) | ||||
−0.659549 | + | 0.751661i | \(0.729253\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −20.1715 | − | 34.9381i | −0.908481 | − | 1.57353i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.98392 | − | 1.98392i | 0.0891708 | − | 0.0891708i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.56653 | − | 4.44536i | −0.115125 | − | 0.199402i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.237832 | + | 0.887600i | 0.0106468 | + | 0.0397344i | 0.971045 | − | 0.238897i | \(-0.0767859\pi\) |
−0.960398 | + | 0.278632i | \(0.910119\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.97486 | + | 14.8344i | −0.177583 | + | 0.662750i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 3.08613 | − | 11.5176i | 0.137604 | − | 0.513544i | −0.862370 | − | 0.506279i | \(-0.831021\pi\) |
0.999974 | − | 0.00726514i | \(-0.00231259\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.06732 | − | 1.89368i | 0.314492 | − | 0.0842678i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 20.5389i | 0.912164i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0.720332 | − | 0.415884i | 0.0319281 | − | 0.0184337i | −0.483951 | − | 0.875095i | \(-0.660799\pi\) |
0.515879 | + | 0.856661i | \(0.327465\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.80327 | + | 11.7836i | −0.300959 | + | 0.521276i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 17.9775 | − | 4.81706i | 0.793727 | − | 0.212678i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 6.82254 | + | 3.93900i | 0.300637 | + | 0.173573i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 18.3877i | 0.808689i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3.09635i | 0.135915i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.21862 | + | 4.74502i | 0.360064 | + | 0.207883i | 0.669109 | − | 0.743164i | \(-0.266676\pi\) |
−0.309045 | + | 0.951048i | \(0.600009\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −28.5757 | + | 7.65684i | −1.24953 | + | 0.334810i | −0.822155 | − | 0.569264i | \(-0.807228\pi\) |
−0.427375 | + | 0.904075i | \(0.640561\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 4.26743 | − | 7.39141i | 0.186246 | − | 0.322588i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −44.1258 | + | 25.4761i | −1.92215 | + | 1.10976i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 43.4237i | 1.88799i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 27.1776 | − | 7.28221i | 1.17941 | − | 0.316021i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 8.39154 | − | 31.3176i | 0.363478 | − | 1.35652i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.46776 | + | 5.47774i | −0.0634567 | + | 0.236824i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.10500 | + | 11.5880i | 0.133991 | + | 0.500061i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.83538 | − | 3.17896i | −0.0790552 | − | 0.136928i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.7379 | + | 18.7379i | −0.805605 | + | 0.805605i | −0.983965 | − | 0.178361i | \(-0.942921\pi\) |
0.178361 | + | 0.983965i | \(0.442921\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 8.80873 | + | 15.2572i | 0.378019 | + | 0.654747i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.684776i | 0.0293326i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.4764 | + | 12.4764i | −0.533453 | + | 0.533453i | −0.921598 | − | 0.388145i | \(-0.873116\pi\) |
0.388145 | + | 0.921598i | \(0.373116\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −4.30672 | − | 4.30672i | −0.183806 | − | 0.183806i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 29.8075 | + | 17.2094i | 1.26984 | + | 0.733144i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −25.6500 | − | 6.87290i | −1.09075 | − | 0.292266i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 3.86654 | − | 0.784740i | 0.164126 | − | 0.0333104i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 8.21821 | − | 30.6708i | 0.348217 | − | 1.29956i | −0.540592 | − | 0.841285i | \(-0.681800\pi\) |
0.888809 | − | 0.458278i | \(-0.151533\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.19042 | − | 3.79392i | 0.0926449 | − | 0.160466i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.97355 | + | 4.97355i | −0.209984 | + | 0.209984i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −14.8876 | − | 14.8876i | −0.627440 | − | 0.627440i | 0.319984 | − | 0.947423i | \(-0.396323\pi\) |
−0.947423 | + | 0.319984i | \(0.896323\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −14.3002 | −0.601612 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −5.16935 | + | 2.98453i | −0.217092 | + | 0.125338i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 7.98876 | + | 7.98876i | 0.334906 | + | 0.334906i | 0.854446 | − | 0.519540i | \(-0.173897\pi\) |
−0.519540 | + | 0.854446i | \(0.673897\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −18.6332 | + | 10.7579i | −0.779777 | + | 0.450204i | −0.836351 | − | 0.548194i | \(-0.815316\pi\) |
0.0565743 | + | 0.998398i | \(0.481982\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −14.2129 | + | 3.80833i | −0.593751 | + | 0.159095i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −35.0197 | − | 9.38350i | −1.46042 | − | 0.391319i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 15.0396 | + | 4.02986i | 0.626109 | + | 0.167765i | 0.557903 | − | 0.829906i | \(-0.311606\pi\) |
0.0682054 | + | 0.997671i | \(0.478273\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 4.63561 | + | 17.3003i | 0.192649 | + | 0.718977i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −14.0361 | −0.582315 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.35040 | + | 2.33896i | 0.0559278 | + | 0.0968698i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 8.69549 | + | 5.02035i | 0.359514 | + | 0.207566i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 11.4597 | + | 42.7680i | 0.472991 | + | 1.76523i | 0.628933 | + | 0.777459i | \(0.283492\pi\) |
−0.155942 | + | 0.987766i | \(0.549841\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 21.7349 | − | 37.6460i | 0.895573 | − | 1.55118i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.324918 | −0.0133653 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −2.06956 | −0.0849867 | −0.0424934 | − | 0.999097i | \(-0.513530\pi\) | ||||
−0.0424934 | + | 0.999097i | \(0.513530\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.89077 | + | 6.73901i | −0.159506 | + | 0.276273i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.66314 | − | 13.6710i | −0.149922 | − | 0.559518i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.2598 | + | 8.23291i | 0.582641 | + | 0.336388i | 0.762182 | − | 0.647363i | \(-0.224128\pi\) |
−0.179541 | + | 0.983750i | \(0.557461\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 4.55713 | + | 7.89318i | 0.185889 | + | 0.321969i | 0.943876 | − | 0.330301i | \(-0.107150\pi\) |
−0.757987 | + | 0.652270i | \(0.773817\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.30480 | −0.0938586 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 1.56632 | + | 5.84557i | 0.0636798 | + | 0.237656i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.35962 | − | 1.97200i | −0.298718 | − | 0.0800412i | 0.106347 | − | 0.994329i | \(-0.466084\pi\) |
−0.405065 | + | 0.914288i | \(0.632751\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 15.6760 | + | 4.20037i | 0.635224 | + | 0.170208i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −63.5615 | + | 17.0313i | −2.57142 | + | 0.689011i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.01775 | − | 2.31965i | 0.162275 | − | 0.0936897i | −0.416663 | − | 0.909061i | \(-0.636800\pi\) |
0.578938 | + | 0.815371i | \(0.303467\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.46075 | + | 2.46075i | 0.0992271 | + | 0.0992271i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −18.0550 | + | 10.4241i | −0.726866 | + | 0.419656i | −0.817275 | − | 0.576248i | \(-0.804516\pi\) |
0.0904083 | + | 0.995905i | \(0.471183\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 22.5640 | 0.906922 | 0.453461 | − | 0.891276i | \(-0.350189\pi\) | ||||
0.453461 | + | 0.891276i | \(0.350189\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −26.3596 | − | 26.3596i | −1.05778 | − | 1.05778i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 6.20779 | − | 6.20779i | 0.248710 | − | 0.248710i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 8.51538 | − | 14.7491i | 0.340615 | − | 0.589963i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.55312 | − | 5.79631i | 0.0620255 | − | 0.231482i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 28.4317 | − | 5.77040i | 1.13365 | − | 0.230081i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −13.9238 | − | 3.73087i | −0.554297 | − | 0.148524i | −0.0292122 | − | 0.999573i | \(-0.509300\pi\) |
−0.525085 | + | 0.851050i | \(0.675967\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −20.2681 | − | 11.7018i | −0.805585 | − | 0.465105i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.57253 | − | 5.57253i | −0.221139 | − | 0.221139i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.28889 | − | 9.28889i | 0.368039 | − | 0.368039i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − | 5.22747i | − | 0.206796i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 14.8083 | + | 25.6488i | 0.584893 | + | 1.01306i | 0.994889 | + | 0.100977i | \(0.0321969\pi\) |
−0.409995 | + | 0.912088i | \(0.634470\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.2246 | − | 16.2246i | 0.639837 | − | 0.639837i | −0.310678 | − | 0.950515i | \(-0.600556\pi\) |
0.950515 | + | 0.310678i | \(0.100556\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.235107 | + | 0.407217i | 0.00925732 | + | 0.0160341i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 9.24061 | + | 34.4864i | 0.363286 | + | 1.35580i | 0.869730 | + | 0.493528i | \(0.164293\pi\) |
−0.506444 | + | 0.862273i | \(0.669040\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.49634 | − | 20.5126i | 0.215750 | − | 0.805190i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 5.30495 | − | 19.7983i | 0.207917 | − | 0.775958i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.14887 | − | 0.307838i | 0.0449586 | − | 0.0120466i | −0.236270 | − | 0.971688i | \(-0.575925\pi\) |
0.281228 | + | 0.959641i | \(0.409258\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.7792i | 0.421178i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −12.0003 | + | 6.92840i | −0.468178 | + | 0.270303i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −5.47329 | + | 9.48002i | −0.213209 | + | 0.369289i | −0.952717 | − | 0.303859i | \(-0.901725\pi\) |
0.739508 | + | 0.673148i | \(0.235058\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.30592 | + | 2.49351i | −0.361958 | + | 0.0969865i | −0.435215 | − | 0.900327i | \(-0.643328\pi\) |
0.0732563 | + | 0.997313i | \(0.476661\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −21.7990 | − | 12.5856i | −0.846602 | − | 0.488786i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | − | 6.63883i | − | 0.257443i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 68.9388i | − | 2.66932i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −5.46574 | − | 3.15565i | −0.211318 | − | 0.122004i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.44033 | + | 1.18978i | −0.171417 | + | 0.0459310i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.4828 | − | 21.6209i | 0.481178 | − | 0.833424i | −0.518589 | − | 0.855024i | \(-0.673543\pi\) |
0.999767 | + | 0.0215994i | \(0.00687584\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 17.6210 | − | 10.1735i | 0.678233 | − | 0.391578i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 35.6331i | 1.36949i | 0.728782 | + | 0.684746i | \(0.240087\pi\) | ||||
−0.728782 | + | 0.684746i | \(0.759913\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 30.3557 | − | 8.13378i | 1.16494 | − | 0.312146i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0.491721 | − | 1.83513i | 0.0188428 | − | 0.0703223i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −0.0806302 | + | 0.300916i | −0.00308523 | + | 0.0115142i | −0.967451 | − | 0.253057i | \(-0.918564\pi\) |
0.964366 | + | 0.264572i | \(0.0852305\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.861691 | + | 3.21587i | 0.0329235 | + | 0.122872i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −6.13240 | − | 10.6216i | −0.233966 | − | 0.405240i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −6.83440 | + | 6.83440i | −0.260370 | + | 0.260370i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.83287 | + | 10.1028i | 0.221893 | + | 0.384330i | 0.955383 | − | 0.295371i | \(-0.0954432\pi\) |
−0.733490 | + | 0.679700i | \(0.762110\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 8.29932i | 0.315265i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.63828 | − | 3.63828i | 0.138008 | − | 0.138008i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.0945 | + | 18.0945i | 0.685380 | + | 0.685380i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 9.20120 | + | 5.31232i | 0.348022 | + | 0.200930i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 46.8050 | + | 12.5414i | 1.76780 | + | 0.473681i | 0.988274 | − | 0.152689i | \(-0.0487932\pi\) |
0.779526 | + | 0.626370i | \(0.215460\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −18.5453 | + | 16.3917i | −0.699448 | + | 0.618226i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.82803 | − | 6.82232i | 0.0688478 | − | 0.256943i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −10.8214 | + | 18.7432i | −0.406981 | + | 0.704911i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.15646 | − | 1.15646i | 0.0434318 | − | 0.0434318i | −0.685057 | − | 0.728489i | \(-0.740223\pi\) |
0.728489 | + | 0.685057i | \(0.240223\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −19.1225 | − | 19.1225i | −0.717149 | − | 0.717149i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −87.0677 | −3.26071 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6.56303 | − | 3.78917i | 0.245443 | − | 0.141707i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −6.77681 | − | 6.77681i | −0.253085 | − | 0.253085i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 20.7967 | − | 12.0070i | 0.775587 | − | 0.447785i | −0.0592771 | − | 0.998242i | \(-0.518880\pi\) |
0.834864 | + | 0.550456i | \(0.185546\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.5093 | + | 6.03135i | −0.838290 | + | 0.224619i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −6.09585 | − | 1.63338i | −0.226707 | − | 0.0607460i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 36.3457 | + | 9.73881i | 1.34985 | + | 0.361690i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.2315 | + | 49.3805i | 0.490728 | + | 1.83142i | 0.552749 | + | 0.833348i | \(0.313579\pi\) |
−0.0620202 | + | 0.998075i | \(0.519754\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 5.90520 | 0.218711 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.72880 | + | 2.99437i | 0.0639420 | + | 0.110751i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.27069 | − | 3.62039i | −0.231613 | − | 0.133722i | 0.379703 | − | 0.925109i | \(-0.376026\pi\) |
−0.611316 | + | 0.791386i | \(0.709360\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.364932 | + | 1.36195i | 0.0134607 | + | 0.0502361i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −0.869787 | + | 1.50651i | −0.0320390 | + | 0.0554932i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −21.2591 | −0.782028 | −0.391014 | − | 0.920385i | \(-0.627876\pi\) | ||||
−0.391014 | + | 0.920385i | \(0.627876\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 21.4749 | 0.788901 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.34947 | − | 4.06939i | 0.0861936 | − | 0.149292i | −0.819706 | − | 0.572785i | \(-0.805863\pi\) |
0.905899 | + | 0.423493i | \(0.139196\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.54700 | − | 9.50553i | −0.0933149 | − | 0.348256i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −12.3792 | − | 7.14713i | −0.452931 | − | 0.261500i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −8.38746 | − | 14.5275i | −0.306471 | − | 0.530823i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −4.08878 | −0.149202 | −0.0746009 | − | 0.997213i | \(-0.523768\pi\) | ||||
−0.0746009 | + | 0.997213i | \(0.523768\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.367358 | − | 1.37100i | −0.0133873 | − | 0.0499620i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 7.20681 | + | 1.93106i | 0.262283 | + | 0.0702784i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.95516 | − | 1.86363i | −0.252789 | − | 0.0677347i | 0.130199 | − | 0.991488i | \(-0.458438\pi\) |
−0.382988 | + | 0.923753i | \(0.625105\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −11.6097 | + | 3.11080i | −0.421405 | + | 0.112915i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.70867 | − | 5.60530i | 0.351939 | − | 0.203192i | −0.313600 | − | 0.949555i | \(-0.601535\pi\) |
0.665539 | + | 0.746363i | \(0.268202\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.43231 | − | 1.43231i | −0.0518530 | − | 0.0518530i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −6.86296 | + | 3.96233i | −0.248131 | + | 0.143258i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 75.9977 | 2.74412 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.25592 | + | 8.25592i | 0.297716 | + | 0.297716i | 0.840119 | − | 0.542403i | \(-0.182485\pi\) |
−0.542403 | + | 0.840119i | \(0.682485\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 9.33589 | − | 9.33589i | 0.336224 | − | 0.336224i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −23.5967 | + | 40.8706i | −0.848713 | + | 1.47001i | 0.0336448 | + | 0.999434i | \(0.489289\pi\) |
−0.882357 | + | 0.470580i | \(0.844045\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.2998 | − | 45.9036i | 0.441823 | − | 1.64891i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −6.44603 | + | 9.72882i | −0.231250 | + | 0.349019i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −21.0879 | − | 5.65048i | −0.755551 | − | 0.202449i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.41690 | − | 1.97275i | −0.122266 | − | 0.0705905i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 27.3577 | + | 27.3577i | 0.977686 | + | 0.977686i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.00729 | + | 6.00729i | −0.214409 | + | 0.214409i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 13.5085i | 0.481526i | 0.970584 | + | 0.240763i | \(0.0773976\pi\) | ||||
−0.970584 | + | 0.240763i | \(0.922602\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 4.25562 | + | 7.37095i | 0.151504 | + | 0.262413i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 29.9108 | − | 29.9108i | 1.06351 | − | 1.06351i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.22555 | − | 14.2471i | −0.292098 | − | 0.505928i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.268503 | − | 1.00207i | −0.00952283 | − | 0.0355397i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 5.88509 | − | 21.9635i | 0.208461 | − | 0.777986i | −0.779906 | − | 0.625897i | \(-0.784733\pi\) |
0.988367 | − | 0.152089i | \(-0.0486001\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 13.4420 | − | 50.1663i | 0.475544 | − | 1.77475i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 8.63597 | − | 2.31400i | 0.305137 | − | 0.0817612i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 10.4586i | 0.369076i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.5157 | + | 6.64860i | −0.405875 | + | 0.234332i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 7.89417 | − | 13.6731i | 0.277888 | − | 0.481316i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 1.03240 | − | 0.276630i | 0.0362972 | − | 0.00972581i | −0.240625 | − | 0.970618i | \(-0.577352\pi\) |
0.276922 | + | 0.960892i | \(0.410686\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −42.6563 | − | 24.6276i | −1.49787 | − | 0.864793i | −0.497869 | − | 0.867252i | \(-0.665884\pi\) |
−0.999997 | + | 0.00245912i | \(0.999217\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 0.947468i | − | 0.0332291i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − | 10.5724i | − | 0.370335i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.55465 | − | 1.47493i | −0.0893760 | − | 0.0516012i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −28.6886 | + | 7.68709i | −1.00246 | + | 0.268609i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.97661 | − | 12.0838i | 0.243485 | − | 0.421729i | −0.718219 | − | 0.695817i | \(-0.755043\pi\) |
0.961705 | + | 0.274088i | \(0.0883759\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.4991 | + | 12.4125i | −0.749413 | + | 0.432674i | −0.825482 | − | 0.564429i | \(-0.809096\pi\) |
0.0760690 | + | 0.997103i | \(0.475763\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | − | 6.56028i | − | 0.228400i | ||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 54.0877 | − | 14.4928i | 1.88082 | − | 0.503963i | 0.881309 | − | 0.472541i | \(-0.156663\pi\) |
0.999506 | − | 0.0314223i | \(-0.0100037\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.05602 | + | 26.3334i | −0.245066 | + | 0.914597i | 0.728285 | + | 0.685274i | \(0.240318\pi\) |
−0.973350 | + | 0.229323i | \(0.926349\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.43923 | + | 9.10335i | −0.0846161 | + | 0.315792i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.68344 | + | 10.0147i | 0.0929758 | + | 0.346990i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.52987 | + | 11.3101i | 0.225975 | + | 0.391401i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 34.5520 | − | 34.5520i | 1.19429 | − | 1.19429i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 0.965907 | + | 1.67300i | 0.0333468 | + | 0.0577584i | 0.882217 | − | 0.470843i | \(-0.156050\pi\) |
−0.848870 | + | 0.528601i | \(0.822717\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 42.5491i | 1.46721i | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −3.11477 | + | 3.11477i | −0.107278 | + | 0.107278i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 12.3501 | + | 12.3501i | 0.424857 | + | 0.424857i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −15.5030 | − | 8.95067i | −0.532690 | − | 0.307549i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 12.4361 | + | 3.33225i | 0.426807 | + | 0.114363i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 47.0056 | + | 15.7527i | 1.61133 | + | 0.539997i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.89375 | + | 10.7996i | −0.0990802 | + | 0.369772i | −0.997606 | − | 0.0691475i | \(-0.977972\pi\) |
0.898526 | + | 0.438920i | \(0.144639\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 3.38047 | − | 5.85515i | 0.115610 | − | 0.200242i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 18.2726 | − | 18.2726i | 0.624181 | − | 0.624181i | −0.322417 | − | 0.946598i | \(-0.604495\pi\) |
0.946598 | + | 0.322417i | \(0.104495\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.97354 | + | 2.97354i | 0.101456 | + | 0.101456i | 0.756013 | − | 0.654557i | \(-0.227145\pi\) |
−0.654557 | + | 0.756013i | \(0.727145\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −10.2940 | −0.350819 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −7.70750 | + | 4.44993i | −0.262366 | + | 0.151477i | −0.625414 | − | 0.780293i | \(-0.715070\pi\) |
0.363047 | + | 0.931771i | \(0.381736\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.86185 | + | 1.86185i | 0.0633048 | + | 0.0633048i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 4.34709 | − | 2.50980i | 0.147635 | − | 0.0852372i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −19.7157 | + | 5.28282i | −0.668811 | + | 0.179207i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.01326 | − | 1.61125i | −0.203752 | − | 0.0545951i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 30.9140 | + | 8.28339i | 1.04628 | + | 0.280350i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −3.98983 | − | 14.8903i | −0.134881 | − | 0.503383i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.6575 | 0.663788 | 0.331894 | − | 0.943317i | \(-0.392312\pi\) | ||||
0.331894 | + | 0.943317i | \(0.392312\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.81136 | + | 10.0656i | 0.196012 | + | 0.339503i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.5473 | − | 8.39887i | −0.490110 | − | 0.282965i | 0.234510 | − | 0.972114i | \(-0.424651\pi\) |
−0.724620 | + | 0.689148i | \(0.757985\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.74719 | + | 6.52059i | 0.0587975 | + | 0.219435i | 0.989073 | − | 0.147426i | \(-0.0470989\pi\) |
−0.930276 | + | 0.366862i | \(0.880432\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4.07857 | + | 7.06430i | −0.137100 | + | 0.237464i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 25.5877 | 0.859149 | 0.429575 | − | 0.903031i | \(-0.358663\pi\) | ||||
0.429575 | + | 0.903031i | \(0.358663\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 23.3115 | 0.781842 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.29404 | + | 3.97339i | −0.0768532 | + | 0.133114i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 11.4681 | + | 42.7994i | 0.383764 | + | 1.43223i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 8.83498 | + | 5.10088i | 0.295321 | + | 0.170504i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −21.5065 | − | 37.2504i | −0.718081 | − | 1.24375i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 90.3645 | 3.01382 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.97437 | − | 7.36846i | −0.0657759 | − | 0.245479i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −1.34351 | − | 0.359993i | −0.0447093 | − | 0.0119798i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 14.4709 | + | 3.87747i | 0.481030 | + | 0.128891i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 37.9004 | − | 10.1554i | 1.25846 | − | 0.337204i | 0.432862 | − | 0.901460i | \(-0.357504\pi\) |
0.825599 | + | 0.564257i | \(0.190837\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −19.0880 | + | 11.0204i | −0.633108 | + | 0.365525i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −10.5316 | − | 10.5316i | −0.348927 | − | 0.348927i | 0.510783 | − | 0.859710i | \(-0.329356\pi\) |
−0.859710 | + | 0.510783i | \(0.829356\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.34334 | + | 5.39438i | −0.309219 | + | 0.178528i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 1.76576 | 0.0583743 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −22.5462 | − | 22.5462i | −0.744541 | − | 0.744541i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.54674 | − | 2.54674i | 0.0840093 | − | 0.0840093i | −0.663853 | − | 0.747863i | \(-0.731080\pi\) |
0.747863 | + | 0.663853i | \(0.231080\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 5.86672 | − | 10.1615i | 0.193315 | − | 0.334831i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 3.65445 | − | 13.6386i | 0.120288 | − | 0.448919i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.9455 | + | 22.5568i | −0.491404 | + | 0.741664i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −22.9233 | − | 6.14228i | −0.752900 | − | 0.201739i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 45.6725 | + | 26.3690i | 1.49846 | + | 0.865139i | 0.999998 | − | 0.00177018i | \(-0.000563465\pi\) |
0.498466 | + | 0.866909i | \(0.333897\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.25471 | − | 6.25471i | −0.204990 | − | 0.204990i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.17476 | − | 4.17476i | 0.136675 | − | 0.136675i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 5.98124i | 0.195607i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.28361 | + | 3.95533i | 0.0746023 | + | 0.129215i | 0.900913 | − | 0.433999i | \(-0.142898\pi\) |
−0.826311 | + | 0.563214i | \(0.809565\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.77125 | − | 7.77125i | 0.253605 | − | 0.253605i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 12.9917 | + | 22.5022i | 0.423517 | + | 0.733552i | 0.996281 | − | 0.0861680i | \(-0.0274622\pi\) |
−0.572764 | + | 0.819720i | \(0.694129\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 11.3176 | + | 42.2378i | 0.368551 | + | 1.37545i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.93147 | − | 7.20834i | 0.0628307 | − | 0.234487i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.50351 | − | 16.8073i | 0.146344 | − | 0.546165i | −0.853348 | − | 0.521343i | \(-0.825431\pi\) |
0.999692 | − | 0.0248221i | \(-0.00790193\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −36.1527 | + | 9.68708i | −1.17357 | + | 0.314456i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 18.1511i | − | 0.588591i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 6.95601 | − | 4.01605i | 0.225327 | − | 0.130093i | −0.383087 | − | 0.923712i | \(-0.625139\pi\) |
0.608415 | + | 0.793619i | \(0.291806\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.25629 | + | 10.8362i | −0.202449 | + | 0.350652i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 12.0493 | − | 3.22859i | 0.389498 | − | 0.104366i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −8.52881 | − | 4.92411i | −0.275410 | − | 0.159008i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 83.1277i | − | 2.68154i | ||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − | 17.0835i | − | 0.550507i | ||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 13.1902 | + | 7.61534i | 0.424606 | + | 0.245147i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.3452 | + | 8.66688i | −1.04015 | + | 0.278708i | −0.738176 | − | 0.674608i | \(-0.764313\pi\) |
−0.301976 | + | 0.953316i | \(0.597646\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.47460 | + | 14.6784i | −0.272243 | + | 0.471539i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −24.7113 | + | 14.2671i | −0.793023 | + | 0.457852i | −0.841026 | − | 0.540995i | \(-0.818048\pi\) |
0.0480029 | + | 0.998847i | \(0.484714\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.2200i | 0.487930i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 22.6772 | − | 6.07634i | 0.726252 | − | 0.194599i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −10.0612 | + | 37.5487i | −0.321885 | + | 1.20129i | 0.595522 | + | 0.803339i | \(0.296945\pi\) |
−0.917407 | + | 0.397951i | \(0.869721\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.74652 | − | 6.51810i | 0.0558190 | − | 0.208319i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.533904 | − | 1.99256i | −0.0170462 | − | 0.0636174i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 2.75962 | + | 4.77980i | 0.0880181 | + | 0.152452i | 0.906673 | − | 0.421834i | \(-0.138613\pi\) |
−0.818655 | + | 0.574285i | \(0.805280\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.195374 | + | 0.195374i | −0.00622515 | + | 0.00622515i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 10.4463 | + | 18.0934i | 0.332508 | + | 0.575921i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 5.90839i | 0.187876i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.72488 | − | 6.72488i | 0.213623 | − | 0.213623i | −0.592182 | − | 0.805805i | \(-0.701733\pi\) |
0.805805 | + | 0.592182i | \(0.201733\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −4.67463 | − | 4.67463i | −0.148345 | − | 0.148345i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −10.4231 | − | 6.01779i | −0.330435 | − | 0.190777i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.0217 | + | 5.36480i | 0.634094 | + | 0.169905i | 0.561527 | − | 0.827459i | \(-0.310214\pi\) |
0.0725669 | + | 0.997364i | \(0.476881\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −24.9051 | + | 12.4024i | −0.787962 | + | 0.392395i |
(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 | 592.2.be.f.399.3 | yes | 20 | |
4.3 | odd | 2 | 592.2.be.e.399.3 | yes | 20 | ||
37.23 | odd | 12 | 592.2.be.e.319.3 | ✓ | 20 | ||
148.23 | even | 12 | inner | 592.2.be.f.319.3 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
592.2.be.e.319.3 | ✓ | 20 | 37.23 | odd | 12 | ||
592.2.be.e.399.3 | yes | 20 | 4.3 | odd | 2 | ||
592.2.be.f.319.3 | yes | 20 | 148.23 | even | 12 | inner | |
592.2.be.f.399.3 | yes | 20 | 1.1 | even | 1 | trivial |