Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(17,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bg (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 278.18 | ||
Character | \(\chi\) | \(=\) | 441.278 |
Dual form | 441.2.bg.a.395.18 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.45194 | − | 0.962314i | 1.73378 | − | 0.680459i | 0.733782 | − | 0.679385i | \(-0.237753\pi\) |
0.999999 | − | 0.00107413i | \(-0.000341906\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.61984 | − | 3.35872i | 1.80992 | − | 1.67936i | ||||
\(5\) | −1.47762 | + | 1.00742i | −0.660812 | + | 0.450534i | −0.846724 | − | 0.532032i | \(-0.821428\pi\) |
0.185912 | + | 0.982566i | \(0.440476\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.09999 | + | 1.60937i | 0.793720 | + | 0.608283i | ||||
\(8\) | 3.35777 | − | 6.97247i | 1.18715 | − | 2.46514i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.65357 | + | 3.89208i | −0.839134 | + | 1.23078i | ||||
\(11\) | 0.538606 | − | 3.57342i | 0.162396 | − | 1.07743i | −0.748004 | − | 0.663695i | \(-0.768987\pi\) |
0.910399 | − | 0.413731i | \(-0.135774\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.76752 | − | 2.20702i | −0.767571 | − | 0.612118i | 0.159415 | − | 0.987212i | \(-0.449039\pi\) |
−0.926987 | + | 0.375094i | \(0.877610\pi\) | |||||||
\(14\) | 6.69775 | + | 1.92522i | 1.79005 | + | 0.514536i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.785279 | − | 10.4788i | 0.196320 | − | 2.61970i | ||||
\(17\) | −2.32943 | + | 0.718533i | −0.564969 | + | 0.174270i | −0.564066 | − | 0.825730i | \(-0.690764\pi\) |
−0.000902867 | 1.00000i | \(0.500287\pi\) | ||||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 6.52328 | + | 3.76622i | 1.49654 | + | 0.864030i | 0.999992 | − | 0.00397809i | \(-0.00126627\pi\) |
0.496551 | + | 0.868008i | \(0.334600\pi\) | |||||||
\(20\) | −1.96509 | + | 8.60964i | −0.439408 | + | 1.92517i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.11812 | − | 9.28010i | −0.451585 | − | 1.97852i | ||||
\(23\) | −1.91813 | + | 6.21843i | −0.399958 | + | 1.29663i | 0.502022 | + | 0.864855i | \(0.332590\pi\) |
−0.901980 | + | 0.431778i | \(0.857887\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.658247 | + | 1.67719i | −0.131649 | + | 0.335437i | ||||
\(26\) | −8.90963 | − | 2.74826i | −1.74732 | − | 0.538977i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 13.0070 | − | 1.22762i | 2.45810 | − | 0.231999i | ||||
\(29\) | −4.35647 | − | 0.994336i | −0.808976 | − | 0.184644i | −0.202023 | − | 0.979381i | \(-0.564751\pi\) |
−0.606953 | + | 0.794737i | \(0.707609\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.85986 | + | 3.38319i | −1.05246 | + | 0.607639i | −0.923337 | − | 0.383990i | \(-0.874550\pi\) |
−0.129124 | + | 0.991628i | \(0.541216\pi\) | |||||||
\(32\) | −3.59633 | − | 11.6590i | −0.635747 | − | 2.06104i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.02015 | + | 4.00344i | −0.860949 | + | 0.686584i | ||||
\(35\) | −4.72430 | − | 0.262454i | −0.798552 | − | 0.0443628i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.18776 | − | 3.88567i | −0.688464 | − | 0.638801i | 0.256283 | − | 0.966602i | \(-0.417502\pi\) |
−0.944747 | + | 0.327801i | \(0.893692\pi\) | |||||||
\(38\) | 19.6190 | + | 2.95708i | 3.18262 | + | 0.479702i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.06274 | + | 13.6854i | 0.326147 | + | 2.16385i | ||||
\(41\) | −3.53525 | − | 1.70249i | −0.552114 | − | 0.265884i | 0.136958 | − | 0.990577i | \(-0.456267\pi\) |
−0.689072 | + | 0.724693i | \(0.741982\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.05468 | − | 1.47106i | 0.465834 | − | 0.224334i | −0.186217 | − | 0.982509i | \(-0.559623\pi\) |
0.652052 | + | 0.758175i | \(0.273909\pi\) | |||||||
\(44\) | −10.0524 | − | 14.7442i | −1.51546 | − | 2.22278i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.28095 | + | 17.0930i | 0.188865 | + | 2.52023i | ||||
\(47\) | −1.81628 | − | 4.62779i | −0.264931 | − | 0.675033i | 0.735065 | − | 0.677997i | \(-0.237152\pi\) |
−0.999996 | + | 0.00296394i | \(0.999057\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.81988 | + | 6.75929i | 0.259983 | + | 0.965613i | ||||
\(50\) | 4.74579i | 0.671157i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −17.4308 | + | 1.30625i | −2.41721 | + | 0.181145i | ||||
\(53\) | 3.20504 | + | 3.45421i | 0.440247 | + | 0.474473i | 0.913725 | − | 0.406332i | \(-0.133192\pi\) |
−0.473479 | + | 0.880805i | \(0.657002\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.80409 | + | 5.82276i | 0.378104 | + | 0.785141i | ||||
\(56\) | 18.2725 | − | 9.23822i | 2.44177 | − | 1.23451i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −11.6387 | + | 1.75424i | −1.52823 | + | 0.230344i | ||||
\(59\) | −9.48163 | − | 6.46446i | −1.23440 | − | 0.841601i | −0.242693 | − | 0.970103i | \(-0.578031\pi\) |
−0.991709 | + | 0.128502i | \(0.958983\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.54073 | − | 4.89374i | 0.581381 | − | 0.626580i | −0.372042 | − | 0.928216i | \(-0.621342\pi\) |
0.953423 | + | 0.301636i | \(0.0975328\pi\) | |||||||
\(62\) | −11.1123 | + | 13.9344i | −1.41126 | + | 1.76967i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.93408 | − | 8.69506i | −0.866759 | − | 1.08688i | ||||
\(65\) | 6.31275 | + | 0.473075i | 0.783000 | + | 0.0586778i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.90681 | + | 11.9629i | 0.843801 | + | 1.46151i | 0.886658 | + | 0.462425i | \(0.153020\pi\) |
−0.0428576 | + | 0.999081i | \(0.513646\pi\) | |||||||
\(68\) | −6.01880 | + | 10.4249i | −0.729887 | + | 1.26420i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −11.8362 | + | 3.90274i | −1.41470 | + | 0.466467i | ||||
\(71\) | −1.21008 | + | 0.276193i | −0.143610 | + | 0.0327781i | −0.293722 | − | 0.955891i | \(-0.594894\pi\) |
0.150112 | + | 0.988669i | \(0.452037\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.19697 | + | 3.21707i | 0.959383 | + | 0.376530i | 0.792790 | − | 0.609495i | \(-0.208628\pi\) |
0.166594 | + | 0.986026i | \(0.446723\pi\) | |||||||
\(74\) | −14.0074 | − | 5.49749i | −1.62832 | − | 0.639070i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 36.2629 | − | 8.27678i | 4.15964 | − | 0.949412i | ||||
\(77\) | 6.88200 | − | 6.63731i | 0.784276 | − | 0.756392i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.24053 | − | 9.07686i | 0.589606 | − | 1.02123i | −0.404678 | − | 0.914459i | \(-0.632616\pi\) |
0.994284 | − | 0.106768i | \(-0.0340502\pi\) | |||||||
\(80\) | 9.39628 | + | 16.2748i | 1.05054 | + | 1.81958i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −10.3066 | − | 0.772369i | −1.13817 | − | 0.0852939i | ||||
\(83\) | 8.72515 | + | 10.9410i | 0.957710 | + | 1.20093i | 0.979557 | + | 0.201169i | \(0.0644740\pi\) |
−0.0218467 | + | 0.999761i | \(0.506955\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.71814 | − | 3.40844i | 0.294824 | − | 0.369697i | ||||
\(86\) | 6.07427 | − | 6.54650i | 0.655005 | − | 0.705927i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −23.1070 | − | 15.7541i | −2.46322 | − | 1.67939i | ||||
\(89\) | 7.03212 | − | 1.05992i | 0.745403 | − | 0.112351i | 0.234651 | − | 0.972080i | \(-0.424605\pi\) |
0.510752 | + | 0.859728i | \(0.329367\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.25984 | − | 9.08866i | −0.236896 | − | 0.952751i | ||||
\(92\) | 13.9427 | + | 28.9522i | 1.45362 | + | 3.01848i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.90679 | − | 9.59923i | −0.918665 | − | 0.990085i | ||||
\(95\) | −13.4331 | + | 1.00667i | −1.37821 | + | 0.103282i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.36179i | 0.138269i | 0.997607 | + | 0.0691347i | \(0.0220238\pi\) | ||||
−0.997607 | + | 0.0691347i | \(0.977976\pi\) | |||||||
\(98\) | 10.9668 | + | 14.8221i | 1.10781 | + | 1.49725i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.25045 | + | 8.28202i | 0.325045 | + | 0.828202i | ||||
\(101\) | −0.646268 | − | 8.62384i | −0.0643060 | − | 0.858104i | −0.932336 | − | 0.361593i | \(-0.882233\pi\) |
0.868030 | − | 0.496512i | \(-0.165386\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.38856 | − | 12.3038i | −0.826550 | − | 1.21233i | −0.974735 | − | 0.223366i | \(-0.928295\pi\) |
0.148185 | − | 0.988960i | \(-0.452657\pi\) | |||||||
\(104\) | −24.6811 | + | 11.8858i | −2.42018 | + | 1.16550i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.1826 | + | 5.38526i | 1.08615 | + | 0.523063i | ||||
\(107\) | −2.23305 | − | 14.8153i | −0.215877 | − | 1.43225i | −0.789811 | − | 0.613350i | \(-0.789822\pi\) |
0.573934 | − | 0.818901i | \(-0.305416\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −15.2528 | − | 2.29900i | −1.46096 | − | 0.220204i | −0.630024 | − | 0.776576i | \(-0.716955\pi\) |
−0.830934 | + | 0.556372i | \(0.812193\pi\) | |||||||
\(110\) | 12.4788 | + | 11.5786i | 1.18981 | + | 1.10398i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 18.5133 | − | 20.7416i | 1.74934 | − | 1.95989i | ||||
\(113\) | −2.47511 | + | 1.97383i | −0.232838 | + | 0.185682i | −0.732958 | − | 0.680274i | \(-0.761861\pi\) |
0.500120 | + | 0.865956i | \(0.333289\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.43033 | − | 11.1209i | −0.319880 | − | 1.03703i | ||||
\(116\) | −19.1094 | + | 11.0328i | −1.77427 | + | 1.02437i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −29.4692 | − | 6.72615i | −2.71286 | − | 0.619192i | ||||
\(119\) | −6.04814 | − | 2.23999i | −0.554432 | − | 0.205339i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.96790 | − | 0.607018i | −0.178900 | − | 0.0551834i | ||||
\(122\) | 6.42427 | − | 16.3688i | 0.581626 | − | 1.48196i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −9.84856 | + | 31.9283i | −0.884427 | + | 2.86724i | ||||
\(125\) | −2.70675 | − | 11.8590i | −0.242099 | − | 1.06070i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.81359 | − | 12.3271i | 0.249666 | − | 1.09386i | −0.682232 | − | 0.731136i | \(-0.738990\pi\) |
0.931898 | − | 0.362722i | \(-0.118152\pi\) | |||||||
\(128\) | −4.23644 | − | 2.44591i | −0.374452 | − | 0.216190i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 15.9337 | − | 4.91490i | 1.39748 | − | 0.431065i | ||||
\(131\) | −0.625833 | + | 8.35116i | −0.0546793 | + | 0.729644i | 0.900734 | + | 0.434371i | \(0.143029\pi\) |
−0.955413 | + | 0.295272i | \(0.904590\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 7.63758 | + | 18.4073i | 0.662262 | + | 1.59612i | ||||
\(134\) | 28.4472 | + | 22.6859i | 2.45746 | + | 1.95976i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.81172 | + | 18.6545i | −0.241103 | + | 1.59961i | ||||
\(137\) | −3.40952 | + | 5.00085i | −0.291295 | + | 0.427251i | −0.943792 | − | 0.330540i | \(-0.892769\pi\) |
0.652497 | + | 0.757791i | \(0.273722\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.97685 | − | 10.3345i | 0.422131 | − | 0.876565i | −0.576115 | − | 0.817369i | \(-0.695432\pi\) |
0.998246 | − | 0.0591961i | \(-0.0188537\pi\) | |||||||
\(140\) | −17.9827 | + | 14.9176i | −1.51982 | + | 1.26076i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.70126 | + | 1.84168i | −0.226684 | + | 0.154551i | ||||
\(143\) | −9.37721 | + | 8.70078i | −0.784162 | + | 0.727596i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.43893 | − | 2.91956i | 0.617769 | − | 0.242457i | ||||
\(146\) | 23.1943 | 1.91957 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −28.2099 | −2.31884 | ||||||||
\(149\) | 11.7419 | − | 4.60836i | 0.961934 | − | 0.377531i | 0.168171 | − | 0.985758i | \(-0.446214\pi\) |
0.793763 | + | 0.608227i | \(0.208119\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.35780 | − | 1.25985i | 0.110496 | − | 0.102525i | −0.622990 | − | 0.782230i | \(-0.714082\pi\) |
0.733486 | + | 0.679704i | \(0.237892\pi\) | |||||||
\(152\) | 48.1635 | − | 32.8373i | 3.90658 | − | 2.66346i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 10.4870 | − | 22.8969i | 0.845070 | − | 1.84509i | ||||
\(155\) | 5.25034 | − | 10.9024i | 0.421717 | − | 0.875705i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.62320 | + | 8.24772i | −0.448780 | + | 0.658240i | −0.982249 | − | 0.187580i | \(-0.939936\pi\) |
0.533469 | + | 0.845820i | \(0.320888\pi\) | |||||||
\(158\) | 4.11465 | − | 27.2989i | 0.327344 | − | 2.17179i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 17.0596 | + | 13.6046i | 1.34868 | + | 1.07553i | ||||
\(161\) | −14.0358 | + | 9.97164i | −1.10617 | + | 0.785876i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.815078 | − | 10.8765i | 0.0638418 | − | 0.851910i | −0.869732 | − | 0.493525i | \(-0.835708\pi\) |
0.933574 | − | 0.358386i | \(-0.116673\pi\) | |||||||
\(164\) | −18.5153 | + | 5.71120i | −1.44580 | + | 0.445970i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 31.9222 | + | 18.4303i | 2.47764 | + | 1.43047i | ||||
\(167\) | 4.24385 | − | 18.5935i | 0.328399 | − | 1.43881i | −0.493784 | − | 0.869585i | \(-0.664387\pi\) |
0.822183 | − | 0.569224i | \(-0.192756\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.104562 | − | 0.458117i | −0.00804325 | − | 0.0352398i | ||||
\(170\) | 3.38472 | − | 10.9730i | 0.259596 | − | 0.841590i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.11659 | − | 15.5848i | 0.466386 | − | 1.18833i | ||||
\(173\) | 17.0108 | + | 5.24713i | 1.29330 | + | 0.398932i | 0.863664 | − | 0.504068i | \(-0.168164\pi\) |
0.429641 | + | 0.903000i | \(0.358640\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.08151 | + | 2.46271i | −0.308533 | + | 0.186163i | ||||
\(176\) | −37.0222 | − | 8.45008i | −2.79065 | − | 0.636949i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 16.2223 | − | 9.36597i | 1.21592 | − | 0.702009i | ||||
\(179\) | 4.74524 | + | 15.3837i | 0.354676 | + | 1.14983i | 0.940615 | + | 0.339476i | \(0.110250\pi\) |
−0.585939 | + | 0.810355i | \(0.699274\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.22615 | + | 0.977821i | −0.0911389 | + | 0.0726809i | −0.667999 | − | 0.744162i | \(-0.732849\pi\) |
0.576860 | + | 0.816843i | \(0.304278\pi\) | |||||||
\(182\) | −14.2871 | − | 20.1102i | −1.05903 | − | 1.49066i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 36.9172 | + | 34.2542i | 2.72157 | + | 2.52525i | ||||
\(185\) | 10.1024 | + | 1.52270i | 0.742747 | + | 0.111951i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.31297 | + | 8.71101i | 0.0960142 | + | 0.637012i | ||||
\(188\) | −22.1181 | − | 10.6515i | −1.61313 | − | 0.776842i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −31.9684 | + | 15.3952i | −2.31923 | + | 1.11688i | ||||
\(191\) | 4.14328 | + | 6.07708i | 0.299797 | + | 0.439722i | 0.946348 | − | 0.323149i | \(-0.104741\pi\) |
−0.646551 | + | 0.762871i | \(0.723789\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.156219 | + | 2.08460i | 0.0112449 | + | 0.150053i | 1.00000 | 0.000508213i | \(0.000161769\pi\) | |
−0.988755 | + | 0.149545i | \(0.952219\pi\) | |||||||
\(194\) | 1.31047 | + | 3.33904i | 0.0940866 | + | 0.239729i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 29.2903 | + | 18.3551i | 2.09216 | + | 1.31108i | ||||
\(197\) | 6.13583i | 0.437159i | 0.975819 | + | 0.218580i | \(0.0701424\pi\) | ||||
−0.975819 | + | 0.218580i | \(0.929858\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −24.1519 | + | 1.80994i | −1.71209 | + | 0.128303i | −0.894373 | − | 0.447322i | \(-0.852378\pi\) |
−0.817713 | + | 0.575625i | \(0.804759\pi\) | |||||||
\(200\) | 9.48389 | + | 10.2212i | 0.670612 | + | 0.722748i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.88346 | − | 20.5232i | −0.695398 | − | 1.44401i | ||||
\(203\) | −7.54828 | − | 9.09924i | −0.529785 | − | 0.638642i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.93890 | − | 1.04587i | 0.484633 | − | 0.0730467i | ||||
\(206\) | −32.4083 | − | 22.0956i | −2.25799 | − | 1.53947i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −25.3003 | + | 27.2672i | −1.75426 | + | 1.89064i | ||||
\(209\) | 16.9717 | − | 21.2819i | 1.17396 | − | 1.47210i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.19892 | + | 5.26528i | 0.289066 | + | 0.362477i | 0.905068 | − | 0.425268i | \(-0.139820\pi\) |
−0.616002 | + | 0.787745i | \(0.711249\pi\) | |||||||
\(212\) | 23.2035 | + | 1.73886i | 1.59362 | + | 0.119426i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −19.7323 | − | 34.1773i | −1.34887 | − | 2.33631i | ||||
\(215\) | −3.03168 | + | 5.25102i | −0.206759 | + | 0.358117i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −17.7504 | − | 2.32600i | −1.20498 | − | 0.157899i | ||||
\(218\) | −39.6114 | + | 9.04104i | −2.68282 | + | 0.612336i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 29.7074 | + | 11.6593i | 2.00287 | + | 0.786070i | ||||
\(221\) | 8.03254 | + | 3.15254i | 0.540327 | + | 0.212063i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.92276 | + | 1.80832i | −0.530547 | + | 0.121094i | −0.479399 | − | 0.877597i | \(-0.659145\pi\) |
−0.0511482 | + | 0.998691i | \(0.516288\pi\) | |||||||
\(224\) | 11.2114 | − | 30.2715i | 0.749091 | − | 2.02260i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.16936 | + | 7.22154i | −0.277342 | + | 0.480370i | ||||
\(227\) | 1.53188 | + | 2.65330i | 0.101675 | + | 0.176106i | 0.912375 | − | 0.409356i | \(-0.134247\pi\) |
−0.810700 | + | 0.585462i | \(0.800913\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.150273 | + | 0.0112614i | 0.00993034 | + | 0.000744176i | 0.0796943 | − | 0.996819i | \(-0.474606\pi\) |
−0.0697640 | + | 0.997564i | \(0.522225\pi\) | |||||||
\(230\) | −19.1127 | − | 23.9666i | −1.26026 | − | 1.58031i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −21.5610 | + | 27.0366i | −1.41555 | + | 1.77504i | ||||
\(233\) | −14.6211 | + | 15.7578i | −0.957860 | + | 1.03233i | 0.0415891 | + | 0.999135i | \(0.486758\pi\) |
−0.999449 | + | 0.0331927i | \(0.989433\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.34592 | + | 5.00836i | 0.479195 | + | 0.326710i | ||||
\(236\) | −56.0343 | + | 8.44582i | −3.64753 | + | 0.549776i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −16.9852 | + | 0.327903i | −1.10099 | + | 0.0212548i | ||||
\(239\) | 3.87558 | + | 8.04773i | 0.250691 | + | 0.520564i | 0.987899 | − | 0.155102i | \(-0.0495705\pi\) |
−0.737208 | + | 0.675666i | \(0.763856\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.13948 | − | 6.61679i | −0.395479 | − | 0.426225i | 0.503651 | − | 0.863907i | \(-0.331990\pi\) |
−0.899130 | + | 0.437683i | \(0.855799\pi\) | |||||||
\(242\) | −5.40932 | + | 0.405372i | −0.347724 | + | 0.0260583i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 32.9657i | − | 2.11041i | ||||||
\(245\) | −9.49858 | − | 8.15427i | −0.606842 | − | 0.520957i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −9.74117 | − | 24.8201i | −0.619816 | − | 1.57926i | ||||
\(248\) | 3.91317 | + | 52.2177i | 0.248487 | + | 3.31582i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −18.0489 | − | 26.4729i | −1.14151 | − | 1.67429i | ||||
\(251\) | −10.7491 | + | 5.17648i | −0.678476 | + | 0.326737i | −0.741191 | − | 0.671295i | \(-0.765738\pi\) |
0.0627146 | + | 0.998031i | \(0.480024\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 21.1879 | + | 10.2036i | 1.33207 | + | 0.641493i | ||||
\(254\) | −4.96384 | − | 32.9330i | −0.311459 | − | 2.06640i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 9.25313 | + | 1.39469i | 0.578321 | + | 0.0871678i | ||||
\(257\) | 9.42230 | + | 8.74262i | 0.587747 | + | 0.545349i | 0.916997 | − | 0.398893i | \(-0.130606\pi\) |
−0.329251 | + | 0.944243i | \(0.606796\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.54077 | − | 14.8995i | −0.157876 | − | 0.925810i | ||||
\(260\) | 24.4401 | − | 19.4903i | 1.51571 | − | 1.20874i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.50194 | + | 21.0788i | 0.401691 | + | 1.30225i | ||||
\(263\) | 1.45825 | − | 0.841921i | 0.0899196 | − | 0.0519151i | −0.454366 | − | 0.890815i | \(-0.650134\pi\) |
0.544286 | + | 0.838900i | \(0.316801\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.21570 | − | 1.87518i | −0.504686 | − | 0.115191i | ||||
\(266\) | 36.4405 | + | 37.7839i | 2.23431 | + | 2.31668i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 65.1818 | + | 20.1059i | 3.98161 | + | 1.22816i | ||||
\(269\) | 7.64504 | − | 19.4792i | 0.466126 | − | 1.18767i | −0.483795 | − | 0.875181i | \(-0.660742\pi\) |
0.949921 | − | 0.312489i | \(-0.101163\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.75145 | − | 18.6458i | 0.349376 | − | 1.13265i | −0.594985 | − | 0.803737i | \(-0.702842\pi\) |
0.944361 | − | 0.328912i | \(-0.106682\pi\) | |||||||
\(272\) | 5.70012 | + | 24.9739i | 0.345621 | + | 1.51426i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.54754 | + | 15.5428i | −0.214315 | + | 0.938975i | ||||
\(275\) | 5.63874 | + | 3.25553i | 0.340029 | + | 0.196316i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.17247 | − | 1.28704i | 0.250700 | − | 0.0773306i | −0.166858 | − | 0.985981i | \(-0.553362\pi\) |
0.417558 | + | 0.908650i | \(0.362886\pi\) | |||||||
\(278\) | 2.25785 | − | 30.1290i | 0.135417 | − | 1.80701i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −17.6930 | + | 32.0588i | −1.05736 | + | 1.91588i | ||||
\(281\) | 12.6794 | + | 10.1115i | 0.756389 | + | 0.603200i | 0.923884 | − | 0.382673i | \(-0.124996\pi\) |
−0.167495 | + | 0.985873i | \(0.553568\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.67459 | + | 17.7447i | −0.158988 | + | 1.05481i | 0.756944 | + | 0.653480i | \(0.226692\pi\) |
−0.915932 | + | 0.401334i | \(0.868547\pi\) | |||||||
\(284\) | −3.45264 | + | 5.06410i | −0.204877 | + | 0.300499i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −14.6194 | + | 30.3576i | −0.864466 | + | 1.79508i | ||||
\(287\) | −4.68406 | − | 9.26472i | −0.276491 | − | 0.546879i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −9.13612 | + | 6.22890i | −0.537419 | + | 0.366406i | ||||
\(290\) | 15.4302 | − | 14.3172i | 0.906095 | − | 0.840734i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 40.4770 | − | 15.8861i | 2.36874 | − | 0.929661i | ||||
\(293\) | 32.9586 | 1.92546 | 0.962731 | − | 0.270461i | \(-0.0871762\pi\) | ||||
0.962731 | + | 0.270461i | \(0.0871762\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 20.5227 | 1.19488 | ||||||||
\(296\) | −41.1543 | + | 16.1519i | −2.39204 | + | 0.938808i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 24.3557 | − | 22.5988i | 1.41089 | − | 1.30911i | ||||
\(299\) | 19.0327 | − | 12.9763i | 1.10069 | − | 0.750436i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.78225 | + | 1.82690i | 0.506201 | + | 0.105301i | ||||
\(302\) | 2.11686 | − | 4.39571i | 0.121812 | − | 0.252945i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 44.5881 | − | 65.3987i | 2.55730 | − | 3.75087i | ||||
\(305\) | −1.77940 | + | 11.8055i | −0.101888 | + | 0.675983i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.83163 | − | 3.85309i | −0.275755 | − | 0.219908i | 0.475840 | − | 0.879532i | \(-0.342144\pi\) |
−0.751596 | + | 0.659624i | \(0.770715\pi\) | |||||||
\(308\) | 2.61886 | − | 47.1408i | 0.149223 | − | 2.68609i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.38192 | − | 31.7846i | 0.135284 | − | 1.80524i | ||||
\(311\) | −8.13363 | + | 2.50889i | −0.461216 | + | 0.142266i | −0.516651 | − | 0.856196i | \(-0.672822\pi\) |
0.0554351 | + | 0.998462i | \(0.482345\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −20.3319 | − | 11.7386i | −1.14923 | − | 0.663507i | −0.200529 | − | 0.979688i | \(-0.564266\pi\) |
−0.948699 | + | 0.316181i | \(0.897599\pi\) | |||||||
\(314\) | −5.85083 | + | 25.6342i | −0.330182 | + | 1.44662i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.5168 | − | 50.4583i | −0.647870 | − | 2.83850i | ||||
\(317\) | −1.54066 | + | 4.99470i | −0.0865322 | + | 0.280530i | −0.988488 | − | 0.151297i | \(-0.951655\pi\) |
0.901956 | + | 0.431828i | \(0.142131\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.89959 | + | 15.0319i | −0.330314 | + | 0.841626i | ||||
\(320\) | 19.0055 | + | 5.86244i | 1.06244 | + | 0.327720i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −24.8190 | + | 37.9567i | −1.38311 | + | 2.11524i | ||||
\(323\) | −17.9016 | − | 4.08593i | −0.996074 | − | 0.227347i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.52329 | − | 3.18888i | 0.306377 | − | 0.176887i | ||||
\(326\) | −8.46806 | − | 27.4528i | −0.469002 | − | 1.52047i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −23.7411 | + | 18.9329i | −1.31088 | + | 1.04540i | ||||
\(329\) | 3.63366 | − | 12.6414i | 0.200330 | − | 0.696940i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.08468 | + | 1.93430i | 0.114584 | + | 0.106319i | 0.735384 | − | 0.677650i | \(-0.237002\pi\) |
−0.620800 | + | 0.783969i | \(0.713192\pi\) | |||||||
\(332\) | 68.3315 | + | 10.2993i | 3.75018 | + | 0.565248i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −7.48715 | − | 49.6740i | −0.409679 | − | 2.71804i | ||||
\(335\) | −22.2574 | − | 10.7186i | −1.21605 | − | 0.585620i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.74529 | + | 1.80364i | −0.204019 | + | 0.0982503i | −0.533103 | − | 0.846050i | \(-0.678974\pi\) |
0.329084 | + | 0.944301i | \(0.393260\pi\) | |||||||
\(338\) | −0.697233 | − | 1.02265i | −0.0379245 | − | 0.0556250i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.60877 | − | 21.4675i | −0.0872476 | − | 1.16424i | ||||
\(341\) | 8.93339 | + | 22.7619i | 0.483770 | + | 1.23263i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.05644 | + | 17.1233i | −0.381012 | + | 0.924570i | ||||
\(344\) | − | 26.2381i | − | 1.41467i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 46.7587 | − | 3.50408i | 2.51376 | − | 0.188381i | ||||
\(347\) | −7.22248 | − | 7.78398i | −0.387723 | − | 0.417866i | 0.508785 | − | 0.860894i | \(-0.330095\pi\) |
−0.896508 | + | 0.443028i | \(0.853904\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.07452 | + | 6.38430i | 0.164575 | + | 0.341744i | 0.966905 | − | 0.255137i | \(-0.0821207\pi\) |
−0.802330 | + | 0.596881i | \(0.796406\pi\) | |||||||
\(350\) | −7.63772 | + | 9.96610i | −0.408253 | + | 0.532710i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −43.5995 | + | 6.57156i | −2.32386 | + | 0.350265i | ||||
\(353\) | 22.5490 | + | 15.3737i | 1.20016 | + | 0.818257i | 0.987306 | − | 0.158827i | \(-0.0507711\pi\) |
0.212856 | + | 0.977084i | \(0.431724\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.50980 | − | 1.62717i | 0.0801316 | − | 0.0863614i | ||||
\(356\) | 21.8952 | − | 27.4557i | 1.16044 | − | 1.45515i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 26.4390 | + | 33.1534i | 1.39734 | + | 1.75221i | ||||
\(359\) | −13.5615 | − | 1.01630i | −0.715750 | − | 0.0536380i | −0.288123 | − | 0.957593i | \(-0.593031\pi\) |
−0.427627 | + | 0.903955i | \(0.640650\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.8688 | + | 32.6817i | 0.993094 | + | 1.72009i | ||||
\(362\) | −2.06547 | + | 3.57750i | −0.108559 | + | 0.188029i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −38.7066 | − | 25.3093i | −2.02878 | − | 1.32657i | ||||
\(365\) | −15.3530 | + | 3.50422i | −0.803612 | + | 0.183419i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −28.0445 | − | 11.0066i | −1.46391 | − | 0.574542i | −0.506235 | − | 0.862395i | \(-0.668963\pi\) |
−0.957675 | + | 0.287853i | \(0.907059\pi\) | |||||||
\(368\) | 63.6555 | + | 24.9830i | 3.31827 | + | 1.30233i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 26.2359 | − | 5.98817i | 1.36394 | − | 0.311310i | ||||
\(371\) | 1.17145 | + | 12.4119i | 0.0608187 | + | 0.644393i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.76187 | + | 6.51575i | −0.194782 | + | 0.337373i | −0.946829 | − | 0.321737i | \(-0.895733\pi\) |
0.752047 | + | 0.659110i | \(0.229067\pi\) | |||||||
\(374\) | 11.6021 | + | 20.0954i | 0.599928 | + | 1.03911i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −38.3658 | − | 2.87512i | −1.97856 | − | 0.148273i | ||||
\(377\) | 9.86209 | + | 12.3667i | 0.507923 | + | 0.636916i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.63147 | − | 3.29975i | 0.135169 | − | 0.169497i | −0.709640 | − | 0.704564i | \(-0.751142\pi\) |
0.844809 | + | 0.535067i | \(0.179714\pi\) | |||||||
\(380\) | −45.2446 | + | 48.7621i | −2.32100 | + | 2.50144i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 16.0071 | + | 10.9135i | 0.818996 | + | 0.558382i | ||||
\(383\) | 4.24118 | − | 0.639255i | 0.216714 | − | 0.0326644i | −0.0397876 | − | 0.999208i | \(-0.512668\pi\) |
0.256502 | + | 0.966544i | \(0.417430\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.48239 | + | 16.7405i | −0.177479 | + | 0.853176i | ||||
\(386\) | 2.38908 | + | 4.96098i | 0.121601 | + | 0.252507i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.57389 | + | 4.92948i | 0.232204 | + | 0.250257i | ||||
\(389\) | 13.0184 | − | 0.975597i | 0.660061 | − | 0.0494647i | 0.259512 | − | 0.965740i | \(-0.416438\pi\) |
0.400549 | + | 0.916275i | \(0.368819\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 15.8636i | − | 0.802257i | ||||||
\(392\) | 53.2397 | + | 10.0070i | 2.68901 | + | 0.505431i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.90459 | + | 15.0447i | 0.297469 | + | 0.757939i | ||||
\(395\) | 1.40074 | + | 18.6916i | 0.0704790 | + | 0.940477i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 18.0630 | + | 26.4936i | 0.906558 | + | 1.32968i | 0.943851 | + | 0.330372i | \(0.107174\pi\) |
−0.0372929 | + | 0.999304i | \(0.511873\pi\) | |||||||
\(398\) | −57.4773 | + | 27.6796i | −2.88108 | + | 1.38745i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 17.0580 | + | 8.21471i | 0.852901 | + | 0.410735i | ||||
\(401\) | −0.0147931 | − | 0.0981455i | −0.000738730 | − | 0.00490115i | 0.988458 | − | 0.151492i | \(-0.0484079\pi\) |
−0.989197 | + | 0.146591i | \(0.953170\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 23.6840 | + | 3.56979i | 1.17979 | + | 0.177824i | ||||
\(404\) | −31.3045 | − | 29.0463i | −1.55746 | − | 1.44511i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −27.2642 | − | 15.0470i | −1.35310 | − | 0.746768i | ||||
\(407\) | −16.1407 | + | 12.8718i | −0.800064 | + | 0.638030i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.32490 | − | 4.29523i | −0.0655123 | − | 0.212386i | 0.916898 | − | 0.399122i | \(-0.130685\pi\) |
−0.982410 | + | 0.186737i | \(0.940209\pi\) | |||||||
\(410\) | 16.0073 | − | 9.24181i | 0.790543 | − | 0.456420i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −71.6902 | − | 16.3628i | −3.53192 | − | 0.806139i | ||||
\(413\) | −9.50760 | − | 28.8347i | −0.467838 | − | 1.41886i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −23.9147 | − | 7.37671i | −1.17393 | − | 0.362108i | ||||
\(416\) | −15.7788 | + | 40.2037i | −0.773618 | + | 1.97115i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 21.1338 | − | 68.5140i | 1.03369 | − | 3.35113i | ||||
\(419\) | 3.03434 | + | 13.2943i | 0.148237 | + | 0.649470i | 0.993375 | + | 0.114921i | \(0.0366615\pi\) |
−0.845137 | + | 0.534549i | \(0.820481\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.61051 | − | 24.5813i | 0.273440 | − | 1.19802i | −0.632483 | − | 0.774574i | \(-0.717964\pi\) |
0.905923 | − | 0.423443i | \(-0.139179\pi\) | |||||||
\(422\) | 15.3624 | + | 8.86946i | 0.747828 | + | 0.431759i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 34.8462 | − | 10.7486i | 1.69228 | − | 0.522000i | ||||
\(425\) | 0.328224 | − | 4.37985i | 0.0159212 | − | 0.212454i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.4113 | − | 2.96910i | 0.842592 | − | 0.143685i | ||||
\(428\) | −57.8439 | − | 46.1289i | −2.79599 | − | 2.22973i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.38035 | + | 15.7926i | −0.114791 | + | 0.761587i | ||||
\(431\) | −7.62931 | + | 11.1901i | −0.367491 | + | 0.539010i | −0.964794 | − | 0.263005i | \(-0.915286\pi\) |
0.597303 | + | 0.802015i | \(0.296239\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −6.37412 | + | 13.2360i | −0.306321 | + | 0.636081i | −0.996128 | − | 0.0879115i | \(-0.971981\pi\) |
0.689808 | + | 0.723993i | \(0.257695\pi\) | |||||||
\(434\) | −45.7612 | + | 11.3783i | −2.19661 | + | 0.546174i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −62.9346 | + | 42.9081i | −3.01402 | + | 2.05492i | ||||
\(437\) | −35.9325 | + | 33.3405i | −1.71888 | + | 1.59489i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.572327 | + | 0.224622i | −0.0273157 | + | 0.0107206i | −0.378960 | − | 0.925413i | \(-0.623718\pi\) |
0.351644 | + | 0.936134i | \(0.385623\pi\) | |||||||
\(440\) | 50.0145 | 2.38435 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 22.7290 | 1.08111 | ||||||||
\(443\) | −14.0115 | + | 5.49909i | −0.665704 | + | 0.261270i | −0.674039 | − | 0.738696i | \(-0.735442\pi\) |
0.00833484 | + | 0.999965i | \(0.497347\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −9.32302 | + | 8.65049i | −0.441953 | + | 0.410073i | ||||
\(446\) | −17.6859 | + | 12.0581i | −0.837453 | + | 0.570966i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.567938 | − | 29.4190i | −0.0268326 | − | 1.38992i | ||||
\(449\) | −2.79316 | + | 5.80005i | −0.131817 | + | 0.273721i | −0.956422 | − | 0.291988i | \(-0.905683\pi\) |
0.824605 | + | 0.565709i | \(0.191398\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.98781 | + | 11.7160i | −0.376131 | + | 0.551683i | ||||
\(452\) | −2.32994 | + | 15.4582i | −0.109591 | + | 0.727091i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.30940 | + | 5.03157i | 0.296115 | + | 0.236144i | ||||
\(455\) | 12.4953 | + | 11.1530i | 0.585790 | + | 0.522860i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.37788 | − | 31.7305i | 0.111232 | − | 1.48429i | −0.610443 | − | 0.792060i | \(-0.709008\pi\) |
0.721675 | − | 0.692232i | \(-0.243372\pi\) | |||||||
\(458\) | 0.379298 | − | 0.116998i | 0.0177234 | − | 0.00546695i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −49.7691 | − | 28.7342i | −2.32050 | − | 1.33974i | ||||
\(461\) | 3.77229 | − | 16.5275i | 0.175693 | − | 0.769762i | −0.807894 | − | 0.589328i | \(-0.799393\pi\) |
0.983587 | − | 0.180434i | \(-0.0577502\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.33414 | + | 23.3704i | 0.247899 | + | 1.08612i | 0.933624 | + | 0.358255i | \(0.116628\pi\) |
−0.685725 | + | 0.727860i | \(0.740515\pi\) | |||||||
\(464\) | −13.8405 | + | 44.8698i | −0.642529 | + | 2.08303i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −20.6861 | + | 52.7072i | −0.958263 | + | 2.44161i | ||||
\(467\) | 14.6360 | + | 4.51462i | 0.677275 | + | 0.208912i | 0.614263 | − | 0.789101i | \(-0.289453\pi\) |
0.0630118 | + | 0.998013i | \(0.479929\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.74855 | + | 36.2376i | −0.219268 | + | 1.67330i | ||||
\(470\) | 22.8314 | + | 5.21111i | 1.05313 | + | 0.240370i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −76.9104 | + | 44.4042i | −3.54009 | + | 2.04387i | ||||
\(473\) | −3.61143 | − | 11.7080i | −0.166054 | − | 0.538333i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.6106 | + | 8.46165i | −0.486846 | + | 0.388247i | ||||
\(476\) | −29.4168 | + | 12.2056i | −1.34832 | + | 0.559444i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 17.2471 | + | 16.0030i | 0.788865 | + | 0.731960i | ||||
\(479\) | −12.0884 | − | 1.82203i | −0.552331 | − | 0.0832506i | −0.133054 | − | 0.991109i | \(-0.542478\pi\) |
−0.419277 | + | 0.907858i | \(0.637716\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.01393 | + | 19.9962i | 0.137424 | + | 0.911746i | ||||
\(482\) | −21.4211 | − | 10.3158i | −0.975702 | − | 0.469873i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −9.16231 | + | 4.41233i | −0.416468 | + | 0.200561i | ||||
\(485\) | −1.37191 | − | 2.01222i | −0.0622950 | − | 0.0913700i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.41790 | − | 18.9206i | −0.0642513 | − | 0.857374i | −0.932483 | − | 0.361215i | \(-0.882362\pi\) |
0.868231 | − | 0.496160i | \(-0.165257\pi\) | |||||||
\(488\) | −18.8748 | − | 48.0922i | −0.854422 | − | 2.17703i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −31.1369 | − | 10.8531i | −1.40662 | − | 0.490295i | ||||
\(491\) | − | 40.3477i | − | 1.82087i | −0.413654 | − | 0.910434i | \(-0.635748\pi\) | ||
0.413654 | − | 0.910434i | \(-0.364252\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.8625 | − | 0.814034i | 0.489224 | − | 0.0366623i | ||||
\(494\) | −47.7695 | − | 51.4832i | −2.14925 | − | 2.31634i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 30.8502 | + | 64.0611i | 1.38522 | + | 2.87643i | ||||
\(497\) | −2.98565 | − | 1.36746i | −0.133925 | − | 0.0613390i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.49533 | + | 0.677562i | −0.201239 | + | 0.0303318i | −0.248888 | − | 0.968532i | \(-0.580065\pi\) |
0.0476494 | + | 0.998864i | \(0.484827\pi\) | |||||||
\(500\) | −49.6292 | − | 33.8366i | −2.21949 | − | 1.51322i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −21.3747 | + | 23.0364i | −0.953998 | + | 1.02817i | ||||
\(503\) | 1.74258 | − | 2.18513i | 0.0776980 | − | 0.0974302i | −0.741463 | − | 0.670993i | \(-0.765868\pi\) |
0.819161 | + | 0.573563i | \(0.194439\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 9.64281 | + | 12.0917i | 0.429099 | + | 0.538074i | ||||
\(506\) | 61.7705 | + | 4.62906i | 2.74603 | + | 0.205787i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −31.2187 | − | 54.0724i | −1.38511 | − | 2.39908i | ||||
\(509\) | −0.169361 | + | 0.293342i | −0.00750680 | + | 0.0130022i | −0.869754 | − | 0.493485i | \(-0.835723\pi\) |
0.862248 | + | 0.506487i | \(0.169056\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 12.0361 | + | 19.9477i | 0.532445 | + | 0.882436i | ||||
\(512\) | 33.5686 | − | 7.66181i | 1.48354 | − | 0.338607i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 31.5160 | + | 12.3691i | 1.39011 | + | 0.545579i | ||||
\(515\) | 24.7902 | + | 9.72945i | 1.09239 | + | 0.428731i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −17.5153 | + | 3.99775i | −0.770321 | + | 0.175821i | ||||
\(518\) | −20.5678 | − | 34.0876i | −0.903698 | − | 1.49772i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 24.4952 | − | 42.4270i | 1.07419 | − | 1.86055i | ||||
\(521\) | −1.73700 | − | 3.00857i | −0.0760994 | − | 0.131808i | 0.825464 | − | 0.564454i | \(-0.190913\pi\) |
−0.901564 | + | 0.432646i | \(0.857580\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.9196 | + | 1.26795i | 0.739844 | + | 0.0554436i | 0.439320 | − | 0.898331i | \(-0.355219\pi\) |
0.300524 | + | 0.953774i | \(0.402839\pi\) | |||||||
\(524\) | 25.7838 | + | 32.3319i | 1.12637 | + | 1.41242i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.76535 | − | 3.46763i | 0.120575 | − | 0.151196i | ||||
\(527\) | 11.2192 | − | 12.0914i | 0.488715 | − | 0.526709i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.9862 | − | 10.8992i | −0.695050 | − | 0.473877i | ||||
\(530\) | −21.9489 | + | 3.30826i | −0.953399 | + | 0.143702i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 89.4720 | + | 40.9792i | 3.87910 | + | 1.77667i | ||||
\(533\) | 6.02645 | + | 12.5141i | 0.261035 | + | 0.542044i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.2249 | + | 19.6418i | 0.787932 | + | 0.849189i | ||||
\(536\) | 106.603 | − | 7.98877i | 4.60454 | − | 0.345062i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 55.1188i | − | 2.37634i | ||||||
\(539\) | 25.1340 | − | 2.86261i | 1.08260 | − | 0.123301i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.8096 | + | 30.0905i | 0.507736 | + | 1.29369i | 0.923283 | + | 0.384119i | \(0.125495\pi\) |
−0.415547 | + | 0.909572i | \(0.636410\pi\) | |||||||
\(542\) | −3.84088 | − | 51.2529i | −0.164980 | − | 2.20150i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 16.7547 | + | 24.5747i | 0.718354 | + | 1.05363i | ||||
\(545\) | 24.8540 | − | 11.9690i | 1.06463 | − | 0.512698i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.87858 | + | 3.31255i | 0.294107 | + | 0.141634i | 0.575119 | − | 0.818070i | \(-0.304956\pi\) |
−0.281012 | + | 0.959704i | \(0.590670\pi\) | |||||||
\(548\) | 4.45454 | + | 29.5539i | 0.190288 | + | 1.26248i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 16.9587 | + | 2.55611i | 0.723121 | + | 0.108993i | ||||
\(551\) | −24.6736 | − | 22.8937i | −1.05113 | − | 0.975306i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 25.6130 | − | 10.6274i | 1.08918 | − | 0.451921i | ||||
\(554\) | 8.99211 | − | 7.17096i | 0.382038 | − | 0.304665i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −16.6954 | − | 54.1253i | −0.708045 | − | 2.29542i | ||||
\(557\) | −30.3332 | + | 17.5129i | −1.28526 | + | 0.742044i | −0.977805 | − | 0.209519i | \(-0.932810\pi\) |
−0.307454 | + | 0.951563i | \(0.599477\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.7005 | − | 2.67057i | −0.494880 | − | 0.112953i | ||||
\(560\) | −6.46010 | + | 49.2990i | −0.272989 | + | 2.08326i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 40.8195 | + | 12.5911i | 1.72187 | + | 0.531125i | ||||
\(563\) | 9.58141 | − | 24.4130i | 0.403808 | − | 1.02889i | −0.573901 | − | 0.818924i | \(-0.694571\pi\) |
0.977710 | − | 0.209962i | \(-0.0673340\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.66878 | − | 5.41006i | 0.0702062 | − | 0.227603i | ||||
\(566\) | 10.5181 | + | 46.0827i | 0.442108 | + | 1.93700i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.13742 | + | 9.36464i | −0.0896841 | + | 0.392932i | ||||
\(569\) | −24.4831 | − | 14.1353i | −1.02638 | − | 0.592583i | −0.110437 | − | 0.993883i | \(-0.535225\pi\) |
−0.915946 | + | 0.401301i | \(0.868558\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −26.3016 | + | 8.11296i | −1.10069 | + | 0.339517i | −0.791305 | − | 0.611421i | \(-0.790598\pi\) |
−0.309381 | + | 0.950938i | \(0.600122\pi\) | |||||||
\(572\) | −4.72052 | + | 62.9909i | −0.197375 | + | 2.63378i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −20.4006 | − | 18.2090i | −0.851504 | − | 0.760028i | ||||
\(575\) | −9.16686 | − | 7.31032i | −0.382284 | − | 0.304862i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.40499 | + | 9.32147i | −0.0584903 | + | 0.388058i | 0.940363 | + | 0.340174i | \(0.110486\pi\) |
−0.998853 | + | 0.0478841i | \(0.984752\pi\) | |||||||
\(578\) | −16.4070 | + | 24.0647i | −0.682443 | + | 1.00096i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 17.1217 | − | 35.5537i | 0.710942 | − | 1.47629i | ||||
\(581\) | 0.714637 | + | 37.0179i | 0.0296481 | + | 1.53576i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.0696 | − | 9.59249i | 0.582703 | − | 0.397280i | ||||
\(584\) | 49.9545 | − | 46.3510i | 2.06713 | − | 1.91802i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 80.8124 | − | 31.7165i | 3.33833 | − | 1.31020i | ||||
\(587\) | −4.59513 | −0.189661 | −0.0948306 | − | 0.995493i | \(-0.530231\pi\) | ||||
−0.0948306 | + | 0.995493i | \(0.530231\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −50.9673 | −2.10007 | ||||||||
\(590\) | 50.3204 | − | 19.7493i | 2.07166 | − | 0.813066i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −44.0058 | + | 40.8314i | −1.80863 | + | 1.67816i | ||||
\(593\) | −21.5535 | + | 14.6949i | −0.885097 | + | 0.603449i | −0.918250 | − | 0.396002i | \(-0.870397\pi\) |
0.0331531 | + | 0.999450i | \(0.489445\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.1935 | − | 2.78320i | 0.458888 | − | 0.114100i | ||||
\(596\) | 27.0256 | − | 56.1193i | 1.10701 | − | 2.29874i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 34.1797 | − | 50.1324i | 1.39771 | − | 2.05007i | ||||
\(599\) | −4.85200 | + | 32.1909i | −0.198247 | + | 1.31528i | 0.639316 | + | 0.768944i | \(0.279218\pi\) |
−0.837563 | + | 0.546341i | \(0.816020\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.15697 | + | 0.922654i | 0.0471938 | + | 0.0376358i | 0.646803 | − | 0.762657i | \(-0.276106\pi\) |
−0.599609 | + | 0.800293i | \(0.704677\pi\) | |||||||
\(602\) | 23.2916 | − | 3.97185i | 0.949294 | − | 0.161880i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.683520 | − | 9.12094i | 0.0278120 | − | 0.371126i | ||||
\(605\) | 3.51934 | − | 1.08557i | 0.143081 | − | 0.0441348i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.0586 | + | 9.27142i | 0.651797 | + | 0.376315i | 0.789144 | − | 0.614208i | \(-0.210524\pi\) |
−0.137347 | + | 0.990523i | \(0.543858\pi\) | |||||||
\(608\) | 20.4505 | − | 89.5995i | 0.829377 | − | 3.63374i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.99767 | + | 30.6588i | 0.283327 | + | 1.24134i | ||||
\(611\) | −5.18707 | + | 16.8161i | −0.209846 | + | 0.680305i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.73929 | − | 24.8153i | 0.393366 | − | 1.00228i | −0.587781 | − | 0.809020i | \(-0.699998\pi\) |
0.981147 | − | 0.193261i | \(-0.0619063\pi\) | |||||||
\(614\) | −15.5547 | − | 4.79800i | −0.627738 | − | 0.193631i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −23.1703 | − | 70.2711i | −0.933559 | − | 2.83130i | ||||
\(617\) | 26.1918 | + | 5.97810i | 1.05444 | + | 0.240669i | 0.714397 | − | 0.699741i | \(-0.246701\pi\) |
0.340043 | + | 0.940410i | \(0.389558\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.76710 | − | 1.02024i | 0.0710259 | − | 0.0410068i | −0.464066 | − | 0.885800i | \(-0.653610\pi\) |
0.535092 | + | 0.844794i | \(0.320277\pi\) | |||||||
\(620\) | −17.6129 | − | 57.0995i | −0.707350 | − | 2.29317i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −17.5288 | + | 13.9788i | −0.702842 | + | 0.560497i | ||||
\(623\) | 16.4732 | + | 9.09143i | 0.659983 | + | 0.364241i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 9.34282 | + | 8.66887i | 0.373713 | + | 0.346755i | ||||
\(626\) | −61.1488 | − | 9.21670i | −2.44400 | − | 0.368374i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.34671 | + | 48.7422i | 0.293166 | + | 1.94503i | ||||
\(629\) | 12.5471 | + | 6.04235i | 0.500284 | + | 0.240924i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.10135 | + | 1.49353i | −0.123463 | + | 0.0594565i | −0.494595 | − | 0.869123i | \(-0.664684\pi\) |
0.371133 | + | 0.928580i | \(0.378969\pi\) | |||||||
\(632\) | −45.6917 | − | 67.0174i | −1.81752 | − | 2.66581i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.02887 | + | 13.7293i | 0.0408616 | + | 0.545260i | ||||
\(635\) | 8.26125 | + | 21.0493i | 0.327838 | + | 0.835317i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 9.88134 | − | 22.7230i | 0.391513 | − | 0.900317i | ||||
\(638\) | 42.5346i | 1.68396i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.72392 | − | 0.653768i | 0.344843 | − | 0.0258424i | ||||
\(641\) | 10.0345 | + | 10.8146i | 0.396340 | + | 0.427153i | 0.899419 | − | 0.437088i | \(-0.143990\pi\) |
−0.503079 | + | 0.864240i | \(0.667800\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.4660 | + | 25.8858i | 0.491609 | + | 1.02084i | 0.988245 | + | 0.152878i | \(0.0488542\pi\) |
−0.496636 | + | 0.867959i | \(0.665432\pi\) | |||||||
\(644\) | −17.3153 | + | 83.2381i | −0.682320 | + | 3.28004i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −47.8257 | + | 7.20856i | −1.88168 | + | 0.283617i | ||||
\(647\) | −14.3926 | − | 9.81273i | −0.565833 | − | 0.385778i | 0.246350 | − | 0.969181i | \(-0.420769\pi\) |
−0.812183 | + | 0.583403i | \(0.801721\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −28.2071 | + | 30.4000i | −1.10722 | + | 1.19330i | ||||
\(650\) | 10.4741 | − | 13.1341i | 0.410827 | − | 0.515161i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −33.5806 | − | 42.1087i | −1.31512 | − | 1.64910i | ||||
\(653\) | 16.6668 | + | 1.24900i | 0.652220 | + | 0.0488772i | 0.396731 | − | 0.917935i | \(-0.370144\pi\) |
0.255489 | + | 0.966812i | \(0.417763\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.48842 | − | 12.9703i | −0.292597 | − | 0.506792i | ||||
\(656\) | −20.6162 | + | 35.7084i | −0.804929 | + | 1.39418i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.25545 | − | 34.4925i | −0.126911 | − | 1.34466i | ||||
\(659\) | −34.9386 | + | 7.97450i | −1.36101 | + | 0.310643i | −0.839852 | − | 0.542815i | \(-0.817358\pi\) |
−0.521162 | + | 0.853458i | \(0.674501\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −43.5575 | − | 17.0950i | −1.69419 | − | 0.664920i | −0.695620 | − | 0.718410i | \(-0.744870\pi\) |
−0.998568 | + | 0.0534897i | \(0.982966\pi\) | |||||||
\(662\) | 6.97291 | + | 2.73666i | 0.271010 | + | 0.106363i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 105.583 | − | 24.0986i | 4.09741 | − | 0.935207i | ||||
\(665\) | −29.8295 | − | 19.5048i | −1.15674 | − | 0.756363i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.5395 | − | 25.1831i | 0.562971 | − | 0.975095i | ||||
\(668\) | −47.0884 | − | 81.5595i | −1.82190 | − | 3.15563i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −64.8884 | − | 4.86272i | −2.50686 | − | 0.187863i | ||||
\(671\) | −15.0417 | − | 18.8617i | −0.580679 | − | 0.728149i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21.7277 | − | 27.2457i | 0.837542 | − | 1.05024i | −0.160459 | − | 0.987043i | \(-0.551297\pi\) |
0.998001 | − | 0.0632019i | \(-0.0201312\pi\) | |||||||
\(674\) | −7.44754 | + | 8.02654i | −0.286869 | + | 0.309171i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.91719 | − | 1.30712i | −0.0737380 | − | 0.0502737i | ||||
\(677\) | 24.5223 | − | 3.69615i | 0.942470 | − | 0.142054i | 0.340205 | − | 0.940351i | \(-0.389503\pi\) |
0.602264 | + | 0.798297i | \(0.294265\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −2.19163 | + | 2.85975i | −0.0841069 | + | 0.109747i | ||||
\(680\) | −14.6384 | − | 30.3969i | −0.561356 | − | 1.16567i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 43.8082 | + | 47.2140i | 1.67750 | + | 1.80792i | ||||
\(683\) | 16.4540 | − | 1.23306i | 0.629596 | − | 0.0471817i | 0.243889 | − | 0.969803i | \(-0.421577\pi\) |
0.385707 | + | 0.922622i | \(0.373958\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 10.8242i | − | 0.413571i | ||||||
\(686\) | −0.823972 | + | 48.7757i | −0.0314594 | + | 1.86227i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −13.0162 | − | 33.1646i | −0.496236 | − | 1.26439i | ||||
\(689\) | −1.24649 | − | 16.6332i | −0.0474873 | − | 0.633675i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.14649 | + | 1.68159i | 0.0436146 | + | 0.0639709i | 0.847427 | − | 0.530912i | \(-0.178151\pi\) |
−0.803812 | + | 0.594883i | \(0.797198\pi\) | |||||||
\(692\) | 79.1999 | − | 38.1407i | 3.01073 | − | 1.44989i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −25.1997 | − | 12.1355i | −0.956568 | − | 0.460659i | ||||
\(695\) | 3.05737 | + | 20.2843i | 0.115973 | + | 0.769429i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.45841 | + | 1.42563i | 0.358263 | + | 0.0539994i | ||||
\(698\) | 13.6822 | + | 12.6953i | 0.517880 | + | 0.480522i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −6.50289 | + | 22.6233i | −0.245786 | + | 0.855080i | ||||
\(701\) | −24.4713 | + | 19.5152i | −0.924267 | + | 0.737079i | −0.965044 | − | 0.262090i | \(-0.915588\pi\) |
0.0407762 | + | 0.999168i | \(0.487017\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.6836 | − | 41.1194i | −0.478373 | − | 1.55085i | ||||
\(704\) | −34.8058 | + | 20.0951i | −1.31179 | + | 0.757364i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 70.0830 | + | 15.9960i | 2.63761 | + | 0.602017i | ||||
\(707\) | 12.5218 | − | 19.1500i | 0.470929 | − | 0.720211i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −17.2167 | − | 5.31064i | −0.646586 | − | 0.199445i | −0.0459197 | − | 0.998945i | \(-0.514622\pi\) |
−0.600666 | + | 0.799500i | \(0.705098\pi\) | |||||||
\(710\) | 2.13607 | − | 5.44262i | 0.0801654 | − | 0.204258i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 16.2219 | − | 52.5902i | 0.607943 | − | 1.97090i | ||||
\(713\) | −9.79815 | − | 42.9285i | −0.366944 | − | 1.60769i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.09058 | − | 22.3033i | 0.190377 | − | 0.834095i | ||||
\(716\) | 68.8466 | + | 39.7486i | 2.57292 | + | 1.48548i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −34.2300 | + | 10.5586i | −1.27745 | + | 0.394042i | ||||
\(719\) | 1.58598 | − | 21.1634i | 0.0591471 | − | 0.789263i | −0.886222 | − | 0.463261i | \(-0.846679\pi\) |
0.945369 | − | 0.326002i | \(-0.105702\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.18539 | − | 39.3380i | 0.0813880 | − | 1.46502i | ||||
\(722\) | 77.7151 | + | 61.9758i | 2.89226 | + | 2.30650i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.15424 | + | 7.65786i | −0.0428968 | + | 0.284602i | ||||
\(725\) | 4.53532 | − | 6.65209i | 0.168437 | − | 0.247052i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −3.87602 | + | 8.04863i | −0.143753 | + | 0.298507i | −0.960397 | − | 0.278635i | \(-0.910118\pi\) |
0.816644 | + | 0.577142i | \(0.195832\pi\) | |||||||
\(728\) | −70.9585 | − | 14.7609i | −2.62990 | − | 0.547076i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −34.2724 | + | 23.3665i | −1.26848 | + | 0.864834i | ||||
\(731\) | −6.05865 | + | 5.62160i | −0.224087 | + | 0.207923i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −10.5663 | + | 4.14695i | −0.390274 | + | 0.153171i | −0.552360 | − | 0.833605i | \(-0.686273\pi\) |
0.162087 | + | 0.986777i | \(0.448178\pi\) | |||||||
\(734\) | −79.3552 | −2.92905 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 79.3989 | 2.92668 | ||||||||
\(737\) | 46.4686 | − | 18.2376i | 1.71169 | − | 0.671790i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.4690 | + | 15.2810i | −0.605823 | + | 0.562121i | −0.922298 | − | 0.386479i | \(-0.873691\pi\) |
0.316475 | + | 0.948601i | \(0.397501\pi\) | |||||||
\(740\) | 41.6836 | − | 28.4194i | 1.53232 | − | 1.04472i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 14.8165 | + | 29.3059i | 0.543930 | + | 1.07585i | ||||
\(743\) | −15.4681 | + | 32.1198i | −0.567468 | + | 1.17836i | 0.397890 | + | 0.917433i | \(0.369743\pi\) |
−0.965358 | + | 0.260927i | \(0.915972\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.7075 | + | 18.6385i | −0.465567 | + | 0.682861i | ||||
\(746\) | −2.95367 | + | 19.5963i | −0.108142 | + | 0.717472i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 34.0106 | + | 27.1226i | 1.24355 | + | 0.991700i | ||||
\(749\) | 19.1539 | − | 34.7058i | 0.699868 | − | 1.26812i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.28540 | − | 30.4966i | 0.0833955 | − | 1.11283i | −0.785838 | − | 0.618433i | \(-0.787768\pi\) |
0.869233 | − | 0.494402i | \(-0.164613\pi\) | |||||||
\(752\) | −49.9201 | + | 15.3983i | −1.82040 | + | 0.561519i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 36.0818 | + | 20.8319i | 1.31402 | + | 0.758652i | ||||
\(755\) | −0.737105 | + | 3.22947i | −0.0268260 | + | 0.117532i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.69912 | − | 20.5882i | −0.170793 | − | 0.748291i | −0.985674 | − | 0.168663i | \(-0.946055\pi\) |
0.814881 | − | 0.579628i | \(-0.196802\pi\) | |||||||
\(758\) | 3.27679 | − | 10.6231i | 0.119018 | − | 0.385848i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −38.0863 | + | 97.0422i | −1.38153 | + | 3.52009i | ||||
\(761\) | 21.1016 | + | 6.50898i | 0.764932 | + | 0.235950i | 0.652582 | − | 0.757718i | \(-0.273686\pi\) |
0.112350 | + | 0.993669i | \(0.464162\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −28.3308 | − | 29.3753i | −1.02565 | − | 1.06346i | ||||
\(764\) | 35.4093 | + | 8.08194i | 1.28106 | + | 0.292394i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.78395 | − | 5.64876i | 0.353508 | − | 0.204098i | ||||
\(767\) | 11.9734 | + | 38.8167i | 0.432333 | + | 1.40159i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 28.0841 | − | 22.3963i | 1.01274 | − | 0.807632i | 0.0313193 | − | 0.999509i | \(-0.490029\pi\) |
0.981419 | + | 0.191878i | \(0.0614577\pi\) | |||||||
\(770\) | 7.57104 | + | 44.3979i | 0.272841 | + | 1.59999i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.56710 | + | 7.02124i | 0.272346 | + | 0.252700i | ||||
\(773\) | 17.7403 | + | 2.67391i | 0.638072 | + | 0.0961740i | 0.460108 | − | 0.887863i | \(-0.347811\pi\) |
0.177964 | + | 0.984037i | \(0.443049\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.81700 | − | 12.0550i | −0.0652687 | − | 0.433030i | ||||
\(776\) | 9.49508 | + | 4.57259i | 0.340853 | + | 0.164146i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 30.9816 | − | 14.9199i | 1.11074 | − | 0.534906i | ||||
\(779\) | −16.6495 | − | 24.4203i | −0.596531 | − | 0.874950i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.335196 | + | 4.47288i | 0.0119943 | + | 0.160052i | ||||
\(782\) | −15.2658 | − | 38.8966i | −0.545903 | − | 1.39094i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 72.2585 | − | 13.7623i | 2.58066 | − | 0.491511i | ||||
\(785\) | − | 17.8520i | − | 0.637164i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.8280 | − | 1.18614i | 0.564206 | − | 0.0422814i | 0.210426 | − | 0.977610i | \(-0.432515\pi\) |
0.353780 | + | 0.935329i | \(0.384896\pi\) | |||||||
\(788\) | 20.6085 | + | 22.2107i | 0.734149 | + | 0.791224i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 21.4217 | + | 44.4827i | 0.762151 | + | 1.58262i | ||||
\(791\) | −8.37430 | + | 0.161667i | −0.297756 | + | 0.00574823i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −23.3672 | + | 3.52203i | −0.829792 | + | 0.125071i | ||||
\(794\) | 69.7846 | + | 47.5784i | 2.47656 | + | 1.68849i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −81.3472 | + | 87.6714i | −2.88327 | + | 3.10743i | ||||
\(797\) | −25.6062 | + | 32.1091i | −0.907017 | + | 1.13736i | 0.0830193 | + | 0.996548i | \(0.473544\pi\) |
−0.990036 | + | 0.140815i | \(0.955028\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.55610 | + | 9.47505i | 0.267316 | + | 0.335203i | ||||
\(800\) | 21.9216 | + | 1.64279i | 0.775045 | + | 0.0580816i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −0.130718 | − | 0.226411i | −0.00461583 | − | 0.00799485i | ||||
\(803\) | 15.9109 | − | 27.5585i | 0.561483 | − | 0.972517i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.6939 | − | 28.8743i | 0.376910 | − | 1.01769i | ||||
\(806\) | 61.5070 | − | 14.0386i | 2.16649 | − | 0.494488i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −62.2995 | − | 24.4508i | −2.19169 | − | 0.860175i | ||||
\(809\) | −31.1093 | − | 12.2095i | −1.09375 | − | 0.429264i | −0.251226 | − | 0.967928i | \(-0.580834\pi\) |
−0.842520 | + | 0.538665i | \(0.818929\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 34.7913 | − | 7.94090i | 1.22169 | − | 0.278843i | 0.437417 | − | 0.899259i | \(-0.355893\pi\) |
0.784273 | + | 0.620416i | \(0.213036\pi\) | |||||||
\(812\) | −57.8854 | − | 7.58526i | −2.03138 | − | 0.266191i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −27.1893 | + | 47.0932i | −0.952983 | + | 1.65061i | ||||
\(815\) | 9.75284 | + | 16.8924i | 0.341627 | + | 0.591715i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 25.4669 | + | 1.90848i | 0.890972 | + | 0.0667692i | ||||
\(818\) | −7.38195 | − | 9.25667i | −0.258104 | − | 0.323652i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 21.6049 | − | 27.0917i | 0.754477 | − | 0.946084i | ||||
\(821\) | 6.25502 | − | 6.74131i | 0.218302 | − | 0.235273i | −0.614401 | − | 0.788994i | \(-0.710602\pi\) |
0.832702 | + | 0.553721i | \(0.186793\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.1956 | + | 11.0419i | 0.564542 | + | 0.384898i | 0.811698 | − | 0.584078i | \(-0.198544\pi\) |
−0.247156 | + | 0.968976i | \(0.579496\pi\) | |||||||
\(824\) | −113.954 | + | 17.1759i | −3.96979 | + | 0.598350i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −51.0601 | − | 61.5515i | −1.77661 | − | 2.14165i | ||||
\(827\) | −10.6728 | − | 22.1623i | −0.371130 | − | 0.770659i | 0.628847 | − | 0.777529i | \(-0.283527\pi\) |
−0.999976 | + | 0.00687070i | \(0.997813\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −7.97493 | − | 8.59493i | −0.276981 | − | 0.298514i | 0.579206 | − | 0.815182i | \(-0.303363\pi\) |
−0.856186 | + | 0.516667i | \(0.827172\pi\) | |||||||
\(830\) | −65.7360 | + | 4.92624i | −2.28173 | + | 0.170992i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 39.3674i | 1.36482i | ||||||||
\(833\) | −9.09606 | − | 14.4376i | −0.315160 | − | 0.500234i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.4608 | + | 31.7495i | 0.431222 | + | 1.09874i | ||||
\(836\) | −10.0449 | − | 134.040i | −0.347412 | − | 4.63589i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 20.2333 | + | 29.6769i | 0.698949 | + | 1.02517i | ||||
\(839\) | −25.3212 | + | 12.1941i | −0.874185 | + | 0.420985i | −0.816497 | − | 0.577349i | \(-0.804087\pi\) |
−0.0576879 | + | 0.998335i | \(0.518373\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.13797 | − | 3.91904i | −0.280620 | − | 0.135139i | ||||
\(842\) | −9.89828 | − | 65.6708i | −0.341117 | − | 2.26316i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 32.8841 | + | 4.95648i | 1.13192 | + | 0.170609i | ||||
\(845\) | 0.616022 | + | 0.571585i | 0.0211918 | + | 0.0196631i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.15566 | − | 4.44180i | −0.108430 | − | 0.152622i | ||||
\(848\) | 38.7129 | − | 30.8725i | 1.32941 | − | 1.06017i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −3.41001 | − | 11.0550i | −0.116962 | − | 0.379182i | ||||
\(851\) | 32.1955 | − | 18.5881i | 1.10365 | − | 0.637191i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 39.2497 | + | 8.95850i | 1.34389 | + | 0.306733i | 0.833170 | − | 0.553017i | \(-0.186523\pi\) |
0.510715 | + | 0.859750i | \(0.329381\pi\) | |||||||
\(854\) | 39.8342 | − | 24.0352i | 1.36310 | − | 0.822467i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −110.797 | − | 34.1765i | −3.78698 | − | 1.16813i | ||||
\(857\) | −6.10723 | + | 15.5610i | −0.208619 | + | 0.531553i | −0.996436 | − | 0.0843574i | \(-0.973116\pi\) |
0.787817 | + | 0.615910i | \(0.211211\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.77908 | + | 28.4611i | −0.299538 | + | 0.971079i | 0.673256 | + | 0.739409i | \(0.264895\pi\) |
−0.972794 | + | 0.231670i | \(0.925581\pi\) | |||||||
\(860\) | 6.66253 | + | 29.1905i | 0.227190 | + | 0.995387i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −7.93816 | + | 34.7793i | −0.270375 | + | 1.18459i | ||||
\(863\) | −20.2279 | − | 11.6786i | −0.688567 | − | 0.397544i | 0.114508 | − | 0.993422i | \(-0.463471\pi\) |
−0.803075 | + | 0.595878i | \(0.796804\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −30.4215 | + | 9.38380i | −1.03436 | + | 0.319059i | ||||
\(866\) | −2.89175 | + | 38.5877i | −0.0982657 | + | 1.31126i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −72.0661 | + | 51.1990i | −2.44608 | + | 1.73781i | ||||
\(869\) | −29.6128 | − | 23.6154i | −1.00455 | − | 0.801099i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 7.28776 | − | 48.3511i | 0.246936 | − | 1.63832i | ||||
\(872\) | −67.2452 | + | 98.6306i | −2.27721 | + | 3.34005i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −56.0202 | + | 116.327i | −1.89491 | + | 3.93482i | ||||
\(875\) | 13.4014 | − | 29.2600i | 0.453050 | − | 0.989167i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −29.2279 | + | 19.9272i | −0.986956 | + | 0.672895i | −0.945288 | − | 0.326237i | \(-0.894219\pi\) |
−0.0416675 | + | 0.999132i | \(0.513267\pi\) | |||||||
\(878\) | −1.18715 | + | 1.10152i | −0.0400645 | + | 0.0371744i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 63.2176 | − | 24.8111i | 2.13107 | − | 0.836382i | ||||
\(881\) | 35.5266 | 1.19692 | 0.598460 | − | 0.801153i | \(-0.295779\pi\) | ||||
0.598460 | + | 0.801153i | \(0.295779\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −31.8523 | −1.07191 | −0.535957 | − | 0.844245i | \(-0.680049\pi\) | ||||
−0.535957 | + | 0.844245i | \(0.680049\pi\) | |||||||
\(884\) | 39.6651 | − | 15.5674i | 1.33408 | − | 0.523588i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −29.0634 | + | 26.9669i | −0.976403 | + | 0.905969i | ||||
\(887\) | 19.9137 | − | 13.5769i | 0.668637 | − | 0.455869i | −0.180827 | − | 0.983515i | \(-0.557877\pi\) |
0.849465 | + | 0.527646i | \(0.176925\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 25.7474 | − | 21.3587i | 0.863540 | − | 0.716349i | ||||
\(890\) | −14.5350 | + | 30.1821i | −0.487213 | + | 1.01171i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −22.6055 | + | 33.1562i | −0.756888 | + | 1.11015i | ||||
\(893\) | 5.58121 | − | 37.0289i | 0.186768 | − | 1.23912i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −22.5096 | − | 17.9508i | −0.752412 | − | 0.600029i | ||||
\(896\) | −4.96010 | − | 11.9544i | −0.165705 | − | 0.399367i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.26717 | + | 16.9093i | −0.0422861 | + | 0.564269i | ||||
\(899\) | 28.8923 | − | 8.91210i | 0.963613 | − | 0.297235i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −9.94788 | − | 5.74341i | −0.331412 | − | 0.191341i | ||||
\(902\) | −8.31117 | + | 36.4136i | −0.276732 | + | 1.21244i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.45166 | + | 23.8853i | 0.181319 | + | 0.794412i | ||||
\(905\) | 0.826702 | − | 2.68010i | 0.0274805 | − | 0.0890896i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.128781 | − | 0.328130i | 0.00427612 | − | 0.0108954i | −0.928720 | − | 0.370782i | \(-0.879090\pi\) |
0.932996 | + | 0.359887i | \(0.117185\pi\) | |||||||
\(908\) | 14.4569 | + | 4.45936i | 0.479769 | + | 0.147989i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 41.3705 | + | 15.3220i | 1.37142 | + | 0.507918i | ||||
\(911\) | 43.2101 | + | 9.86243i | 1.43161 | + | 0.326757i | 0.866881 | − | 0.498516i | \(-0.166121\pi\) |
0.564734 | + | 0.825273i | \(0.308979\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 43.7961 | − | 25.2857i | 1.44944 | − | 0.836835i | ||||
\(914\) | −24.7044 | − | 80.0896i | −0.817148 | − | 2.64913i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0.581790 | − | 0.463962i | 0.0192229 | − | 0.0153297i | ||||
\(917\) | −14.7543 | + | 16.5301i | −0.487230 | + | 0.545873i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.93331 | + | 3.64958i | 0.129748 | + | 0.120389i | 0.742378 | − | 0.669981i | \(-0.233698\pi\) |
−0.612630 | + | 0.790370i | \(0.709888\pi\) | |||||||
\(920\) | −89.0581 | − | 13.4234i | −2.93616 | − | 0.442555i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −6.65522 | − | 44.1545i | −0.219178 | − | 1.45415i | ||||
\(923\) | 3.95848 | + | 1.90630i | 0.130295 | + | 0.0627468i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 9.27357 | − | 4.46592i | 0.304913 | − | 0.146838i | ||||
\(926\) | 35.5687 | + | 52.1697i | 1.16886 | + | 1.71440i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.07432 | + | 54.3680i | 0.133746 | + | 1.78472i | ||||
\(929\) | −2.43805 | − | 6.21206i | −0.0799900 | − | 0.203811i | 0.885284 | − | 0.465051i | \(-0.153964\pi\) |
−0.965274 | + | 0.261240i | \(0.915869\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −13.5853 | + | 50.9468i | −0.445242 | + | 1.66971i | ||||
\(932\) | 106.149i | 3.47703i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 40.2311 | − | 3.01491i | 1.31640 | − | 0.0986508i | ||||
\(935\) | −10.7158 | − | 11.5488i | −0.350443 | − | 0.377688i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.62343 | + | 13.7537i | 0.216378 | + | 0.449314i | 0.980699 | − | 0.195522i | \(-0.0626401\pi\) |
−0.764321 | + | 0.644836i | \(0.776926\pi\) | |||||||
\(938\) | 23.2288 | + | 93.4219i | 0.758448 | + | 3.05033i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 43.4128 | − | 6.54343i | 1.41597 | − | 0.213423i | ||||
\(941\) | −30.6168 | − | 20.8742i | −0.998078 | − | 0.680478i | −0.0500769 | − | 0.998745i | \(-0.515947\pi\) |
−0.948001 | + | 0.318267i | \(0.896899\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 17.3679 | − | 18.7181i | 0.565576 | − | 0.609546i | ||||
\(944\) | −75.1857 | + | 94.2798i | −2.44708 | + | 3.06855i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −20.1217 | − | 25.2319i | −0.654214 | − | 0.820359i | ||||
\(947\) | −56.6172 | − | 4.24287i | −1.83981 | − | 0.137875i | −0.891058 | − | 0.453890i | \(-0.850036\pi\) |
−0.948754 | + | 0.316015i | \(0.897655\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −15.5851 | − | 26.9942i | −0.505914 | − | 0.876269i | ||||
\(950\) | −17.8737 | + | 30.9581i | −0.579899 | + | 1.00441i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −35.9265 | + | 34.6492i | −1.16439 | + | 1.12299i | ||||
\(953\) | 53.1943 | − | 12.1413i | 1.72313 | − | 0.393294i | 0.757425 | − | 0.652922i | \(-0.226457\pi\) |
0.965709 | + | 0.259628i | \(0.0836000\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −12.2444 | − | 4.80557i | −0.396220 | − | 0.155505i | ||||
\(956\) | 41.0591 | + | 16.1145i | 1.32795 | + | 0.521180i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −31.3933 | + | 7.16531i | −1.01427 | + | 0.231501i | ||||
\(959\) | −15.2081 | + | 5.01455i | −0.491096 | + | 0.161928i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 7.39194 | − | 12.8032i | 0.238450 | − | 0.413007i | ||||
\(962\) | 26.6326 | + | 46.1290i | 0.858668 | + | 1.48726i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −44.4479 | − | 3.33091i | −1.43157 | − | 0.107281i | ||||
\(965\) | −2.33091 | − | 2.92287i | −0.0750348 | − | 0.0940906i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.4506 | − | 13.1046i | 0.336068 | − | 0.421416i | −0.584869 | − | 0.811128i | \(-0.698854\pi\) |
0.920937 | + | 0.389712i | \(0.127425\pi\) | |||||||
\(968\) | −10.8402 | + | 11.6829i | −0.348416 | + | 0.375504i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −5.30021 | − | 3.61362i | −0.170180 | − | 0.116026i | ||||
\(971\) | −38.1097 | + | 5.74411i | −1.22300 | + | 0.184337i | −0.728625 | − | 0.684913i | \(-0.759840\pi\) |
−0.494373 | + | 0.869250i | \(0.664602\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 27.0834 | − | 13.6928i | 0.868254 | − | 0.438972i | ||||
\(974\) | −21.6842 | − | 45.0277i | −0.694806 | − | 1.44278i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −47.7149 | − | 51.4245i | −1.52732 | − | 1.64606i | ||||
\(977\) | −34.9164 | + | 2.61662i | −1.11707 | + | 0.0837132i | −0.620445 | − | 0.784250i | \(-0.713048\pi\) |
−0.496629 | + | 0.867963i | \(0.665429\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 25.6996i | − | 0.821362i | ||||||
\(980\) | −61.7713 | + | 2.38590i | −1.97321 | + | 0.0762148i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −38.8272 | − | 98.9301i | −1.23903 | − | 3.15699i | ||||
\(983\) | 3.86606 | + | 51.5890i | 0.123308 | + | 1.64543i | 0.625172 | + | 0.780487i | \(0.285029\pi\) |
−0.501864 | + | 0.864946i | \(0.667352\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.18138 | − | 9.06642i | −0.196955 | − | 0.288880i | ||||
\(986\) | 25.8509 | − | 12.4491i | 0.823260 | − | 0.396461i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −118.625 | − | 57.1270i | −3.77398 | − | 1.81745i | ||||
\(989\) | 3.28838 | + | 21.8170i | 0.104565 | + | 0.693740i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.1473 | − | 2.58455i | −0.544703 | − | 0.0821008i | −0.129074 | − | 0.991635i | \(-0.541201\pi\) |
−0.415629 | + | 0.909534i | \(0.636439\pi\) | |||||||
\(992\) | 60.5186 | + | 56.1530i | 1.92147 | + | 1.78286i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −8.63654 | − | 0.479795i | −0.273935 | − | 0.0152182i | ||||
\(995\) | 33.8640 | − | 27.0057i | 1.07356 | − | 0.856137i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 10.0927 | + | 32.7198i | 0.319640 | + | 1.03625i | 0.962732 | + | 0.270457i | \(0.0871749\pi\) |
−0.643092 | + | 0.765789i | \(0.722349\pi\) | |||||||
\(998\) | −10.3702 | + | 5.98726i | −0.328264 | + | 0.189523i | ||||
\(999\) | 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 | 441.2.bg.a.278.18 | yes | 216 | |
3.2 | odd | 2 | inner | 441.2.bg.a.278.1 | ✓ | 216 | |
49.3 | odd | 42 | inner | 441.2.bg.a.395.1 | yes | 216 | |
147.101 | even | 42 | inner | 441.2.bg.a.395.18 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bg.a.278.1 | ✓ | 216 | 3.2 | odd | 2 | inner | |
441.2.bg.a.278.18 | yes | 216 | 1.1 | even | 1 | trivial | |
441.2.bg.a.395.1 | yes | 216 | 49.3 | odd | 42 | inner | |
441.2.bg.a.395.18 | yes | 216 | 147.101 | even | 42 | inner |