Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [804,2,Mod(25,804)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(804, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("804.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 804 = 2^{2} \cdot 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 804.q (of order \(11\), degree \(10\), 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: | \(6.41997232251\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 241.5 | ||
Character | \(\chi\) | \(=\) | 804.241 |
Dual form | 804.2.q.b.397.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).
\(n\) | \(269\) | \(337\) | \(403\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.415415 | + | 0.909632i | −0.239840 | + | 0.525176i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.77448 | + | 0.521035i | 0.793572 | + | 0.233014i | 0.653300 | − | 0.757099i | \(-0.273384\pi\) |
0.140272 | + | 0.990113i | \(0.455202\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.02047 | − | 3.48581i | −1.14163 | − | 1.31751i | −0.941218 | − | 0.337801i | \(-0.890317\pi\) |
−0.200413 | − | 0.979711i | \(-0.564228\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | − | 0.755750i | −0.218287 | − | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 3.93894 | + | 1.15658i | 1.18764 | + | 0.348721i | 0.815113 | − | 0.579302i | \(-0.196675\pi\) |
0.372522 | + | 0.928023i | \(0.378493\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.415421 | − | 0.266975i | −0.115217 | − | 0.0740454i | 0.481763 | − | 0.876301i | \(-0.339997\pi\) |
−0.596980 | + | 0.802256i | \(0.703633\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.21110 | + | 1.39768i | −0.312704 | + | 0.360879i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.225401 | + | 1.56770i | 0.0546677 | + | 0.380222i | 0.998727 | + | 0.0504459i | \(0.0160642\pi\) |
−0.944059 | + | 0.329776i | \(0.893027\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 4.53068 | − | 5.22868i | 1.03941 | − | 1.19954i | 0.0598862 | − | 0.998205i | \(-0.480926\pi\) |
0.979522 | − | 0.201336i | \(-0.0645283\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 4.42555 | − | 1.29946i | 0.965735 | − | 0.283565i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.63191 | − | 5.76307i | 0.548790 | − | 1.20168i | −0.408554 | − | 0.912734i | \(-0.633967\pi\) |
0.957344 | − | 0.288949i | \(-0.0933059\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.32896 | − | 0.854071i | −0.265792 | − | 0.170814i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.959493 | − | 0.281733i | 0.184655 | − | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.63223 | 0.303097 | 0.151549 | − | 0.988450i | \(-0.451574\pi\) | ||||
0.151549 | + | 0.988450i | \(0.451574\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.78213 | + | 1.78796i | −0.499685 | + | 0.321128i | −0.766090 | − | 0.642733i | \(-0.777800\pi\) |
0.266405 | + | 0.963861i | \(0.414164\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.68836 | + | 3.10253i | −0.467983 | + | 0.540081i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.54354 | − | 7.75928i | −0.598968 | − | 1.31156i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 11.4300 | 1.87908 | 0.939540 | − | 0.342440i | \(-0.111253\pi\) | ||||
0.939540 | + | 0.342440i | \(0.111253\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.415421 | − | 0.266975i | 0.0665205 | − | 0.0427502i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.221415 | + | 1.53997i | 0.0345792 | + | 0.240503i | 0.999779 | − | 0.0210090i | \(-0.00668786\pi\) |
−0.965200 | + | 0.261512i | \(0.915779\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.132442 | + | 0.921155i | 0.0201972 | + | 0.140475i | 0.997425 | − | 0.0717187i | \(-0.0228484\pi\) |
−0.977228 | + | 0.212194i | \(0.931939\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.768266 | − | 1.68227i | −0.114526 | − | 0.250778i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.43938 | − | 5.34151i | 0.355821 | − | 0.779139i | −0.644079 | − | 0.764959i | \(-0.722759\pi\) |
0.999899 | − | 0.0141796i | \(-0.00451366\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.03142 | + | 14.1288i | −0.290203 | + | 2.01840i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.51966 | − | 0.446213i | −0.212795 | − | 0.0624823i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.20219 | + | 8.36144i | −0.165134 | + | 1.14853i | 0.723637 | + | 0.690181i | \(0.242469\pi\) |
−0.888771 | + | 0.458351i | \(0.848440\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.38696 | + | 4.10465i | 0.861218 | + | 0.553471i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.87406 | + | 6.29332i | 0.380679 | + | 0.833571i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 9.70533 | − | 6.23724i | 1.26353 | − | 0.812019i | 0.274763 | − | 0.961512i | \(-0.411400\pi\) |
0.988763 | + | 0.149493i | \(0.0477641\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.90205 | − | 2.61388i | 1.13979 | − | 0.334673i | 0.343242 | − | 0.939247i | \(-0.388475\pi\) |
0.796549 | + | 0.604574i | \(0.206657\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.656411 | + | 4.56544i | −0.0827000 | + | 0.575191i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.598053 | − | 0.690190i | −0.0741794 | − | 0.0856076i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.25848 | + | 5.27554i | −0.764596 | + | 0.644510i | ||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.14894 | + | 4.78813i | 0.499474 | + | 0.576423i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.873940 | − | 6.07838i | 0.103718 | − | 0.721371i | −0.869907 | − | 0.493216i | \(-0.835821\pi\) |
0.973625 | − | 0.228156i | \(-0.0732696\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.77361 | + | 2.57616i | −1.02687 | + | 0.301517i | −0.751439 | − | 0.659803i | \(-0.770640\pi\) |
−0.275435 | + | 0.961320i | \(0.588822\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.32896 | − | 0.854071i | 0.153455 | − | 0.0986196i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.86585 | − | 17.2238i | −0.896397 | − | 1.96284i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.48884 | + | 1.59948i | 0.280017 | + | 0.179956i | 0.673109 | − | 0.739543i | \(-0.264958\pi\) |
−0.393092 | + | 0.919499i | \(0.628595\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −12.3072 | − | 3.61371i | −1.35089 | − | 0.396656i | −0.475345 | − | 0.879799i | \(-0.657677\pi\) |
−0.875541 | + | 0.483143i | \(0.839495\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.416855 | + | 2.89929i | −0.0452143 | + | 0.314472i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.678052 | + | 1.48473i | −0.0726948 | + | 0.159179i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.56063 | − | 3.41731i | −0.165427 | − | 0.362234i | 0.808705 | − | 0.588214i | \(-0.200169\pi\) |
−0.974132 | + | 0.225980i | \(0.927442\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.324143 | + | 2.25447i | 0.0339795 | + | 0.236332i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.470652 | − | 3.27346i | −0.0488044 | − | 0.339442i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 10.7639 | − | 6.91755i | 1.10436 | − | 0.709726i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.12305 | 0.824771 | 0.412386 | − | 0.911009i | \(-0.364696\pi\) | ||||
0.412386 | + | 0.911009i | \(0.364696\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −1.70538 | − | 3.73425i | −0.171397 | − | 0.375306i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.39442 | − | 7.37956i | 0.636269 | − | 0.734293i | −0.342442 | − | 0.939539i | \(-0.611254\pi\) |
0.978710 | + | 0.205246i | \(0.0657993\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.16340 | + | 1.39033i | −0.213166 | + | 0.136994i | −0.642867 | − | 0.765978i | \(-0.722255\pi\) |
0.429701 | + | 0.902971i | \(0.358619\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.53013 | 0.832455 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 9.41534 | − | 2.76459i | 0.910216 | − | 0.267263i | 0.207084 | − | 0.978323i | \(-0.433603\pi\) |
0.703132 | + | 0.711060i | \(0.251784\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.366325 | − | 0.235423i | −0.0350876 | − | 0.0225494i | 0.522979 | − | 0.852345i | \(-0.324820\pi\) |
−0.558067 | + | 0.829796i | \(0.688457\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.74819 | + | 10.3971i | −0.450678 | + | 0.986848i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −17.6966 | + | 5.19619i | −1.66476 | + | 0.488816i | −0.972513 | − | 0.232849i | \(-0.925195\pi\) |
−0.692242 | + | 0.721665i | \(0.743377\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.67303 | − | 8.85515i | 0.715514 | − | 0.825747i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.0702767 | + | 0.488785i | 0.00649708 | + | 0.0451882i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 4.78387 | − | 5.52089i | 0.438537 | − | 0.506099i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.92380 | + | 3.16433i | 0.447618 | + | 0.287667i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.49279 | − | 0.438322i | −0.134600 | − | 0.0395222i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −7.96870 | − | 9.19636i | −0.712742 | − | 0.822548i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.87392 | − | 9.08699i | −0.698697 | − | 0.806340i | 0.289879 | − | 0.957063i | \(-0.406385\pi\) |
−0.988576 | + | 0.150724i | \(0.951840\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.892931 | − | 0.262188i | −0.0786182 | − | 0.0230844i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.13035 | + | 13.4236i | −0.535611 | + | 1.17283i | 0.427572 | + | 0.903981i | \(0.359369\pi\) |
−0.963184 | + | 0.268844i | \(0.913358\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −31.9110 | −2.76703 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.84940 | 0.159171 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −6.23726 | + | 13.6577i | −0.532885 | + | 1.16686i | 0.431442 | + | 0.902141i | \(0.358005\pi\) |
−0.964327 | + | 0.264714i | \(0.914722\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.84302 | + | 1.42204i | 0.410780 | + | 0.120616i | 0.480592 | − | 0.876944i | \(-0.340422\pi\) |
−0.0698123 | + | 0.997560i | \(0.522240\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 3.84545 | + | 4.43788i | 0.323845 | + | 0.373737i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.32754 | − | 1.53206i | −0.111015 | − | 0.128118i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.89636 | + | 0.850448i | 0.240530 | + | 0.0706259i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −12.0081 | − | 7.71717i | −0.990415 | − | 0.636501i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.46350 | − | 2.84303i | 0.201818 | − | 0.232910i | −0.645814 | − | 0.763495i | \(-0.723482\pi\) |
0.847632 | + | 0.530584i | \(0.178027\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.67536 | + | 11.6524i | 0.136339 | + | 0.948259i | 0.937047 | + | 0.349204i | \(0.113548\pi\) |
−0.800708 | + | 0.599055i | \(0.795543\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.03718 | − | 1.19697i | 0.0838510 | − | 0.0967692i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.86842 | + | 1.72312i | −0.471363 | + | 0.138405i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.34411 | + | 16.0813i | −0.586123 | + | 1.28343i | 0.351633 | + | 0.936138i | \(0.385626\pi\) |
−0.937757 | + | 0.347293i | \(0.887101\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −7.10642 | − | 4.56702i | −0.563576 | − | 0.362188i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −28.0386 | + | 8.23287i | −2.20975 | + | 0.648841i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −19.4711 | −1.52510 | −0.762548 | − | 0.646932i | \(-0.776052\pi\) | ||||
−0.762548 | + | 0.646932i | \(0.776052\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −6.38696 | + | 4.10465i | −0.497224 | + | 0.319547i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.18599 | + | 2.52277i | −0.169157 | + | 0.195217i | −0.833998 | − | 0.551767i | \(-0.813954\pi\) |
0.664841 | + | 0.746985i | \(0.268499\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.29910 | − | 11.6034i | −0.407623 | − | 0.892569i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −6.91853 | −0.529074 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 7.50499 | − | 4.82316i | 0.570594 | − | 0.366698i | −0.223305 | − | 0.974749i | \(-0.571684\pi\) |
0.793898 | + | 0.608050i | \(0.208048\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.03696 | + | 7.21220i | 0.0783866 | + | 0.545191i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.64185 | + | 11.4193i | 0.123409 | + | 0.858329i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.46433 | + | 18.5343i | 0.632653 | + | 1.38532i | 0.905949 | + | 0.423388i | \(0.139159\pi\) |
−0.273295 | + | 0.961930i | \(0.588114\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.97945 | + | 10.9035i | −0.370120 | + | 0.810449i | 0.629325 | + | 0.777142i | \(0.283331\pi\) |
−0.999445 | + | 0.0333072i | \(0.989396\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.32038 | + | 9.18344i | −0.0976052 | + | 0.678859i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 20.2823 | + | 5.95543i | 1.49119 | + | 0.437852i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.925322 | + | 6.43576i | −0.0676663 | + | 0.470629i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −3.88019 | − | 2.49364i | −0.282242 | − | 0.181386i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −0.748511 | − | 1.63901i | −0.0541604 | − | 0.118595i | 0.880617 | − | 0.473829i | \(-0.157128\pi\) |
−0.934777 | + | 0.355234i | \(0.884401\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.47383 | + | 2.23249i | −0.250052 | + | 0.160698i | −0.659663 | − | 0.751562i | \(-0.729301\pi\) |
0.409611 | + | 0.912260i | \(0.365664\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.876259 | − | 0.257293i | 0.0627502 | − | 0.0184251i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.22256 | − | 22.4134i | 0.229598 | − | 1.59689i | −0.470208 | − | 0.882556i | \(-0.655821\pi\) |
0.699806 | − | 0.714333i | \(-0.253270\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.09750 | − | 7.03689i | −0.432240 | − | 0.498832i | 0.497287 | − | 0.867586i | \(-0.334330\pi\) |
−0.929527 | + | 0.368755i | \(0.879784\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.19894 | − | 7.88446i | −0.155101 | − | 0.556127i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.93010 | − | 5.68964i | −0.346025 | − | 0.399334i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.409483 | + | 2.84802i | −0.0285996 | + | 0.198914i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −6.07897 | + | 1.78495i | −0.422518 | + | 0.124062i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 23.8934 | − | 15.3554i | 1.65274 | − | 1.06215i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.50792 | + | 7.68126i | 0.241495 | + | 0.528800i | 0.991105 | − | 0.133079i | \(-0.0424864\pi\) |
−0.749611 | + | 0.661879i | \(0.769759\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 5.16604 | + | 3.32002i | 0.353972 | + | 0.227484i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.244938 | + | 1.70358i | −0.0167046 | + | 0.116183i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 14.6358 | + | 4.29747i | 0.993545 | + | 0.291731i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.30133 | − | 9.05094i | 0.0879356 | − | 0.611606i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.324899 | − | 0.711430i | 0.0218551 | − | 0.0478559i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.08626 | − | 11.1374i | −0.340601 | − | 0.745813i | 0.659381 | − | 0.751809i | \(-0.270819\pi\) |
−0.999982 | + | 0.00599632i | \(0.998091\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.224820 | + | 1.56366i | 0.0149880 | + | 0.104244i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.88689 | − | 27.0339i | −0.257982 | − | 1.79430i | −0.547160 | − | 0.837028i | \(-0.684291\pi\) |
0.289178 | − | 0.957275i | \(-0.406618\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.84033 | + | 6.32399i | −0.650267 | + | 0.417901i | −0.823764 | − | 0.566933i | \(-0.808130\pi\) |
0.173497 | + | 0.984834i | \(0.444493\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 18.9349 | 1.24583 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 9.28928 | + | 20.3407i | 0.608561 | + | 1.33256i | 0.923554 | + | 0.383469i | \(0.125271\pi\) |
−0.314993 | + | 0.949094i | \(0.602002\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.11175 | − | 8.20740i | 0.463920 | − | 0.535392i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.48884 | + | 1.59948i | −0.161668 | + | 0.103898i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −15.6819 | −1.01438 | −0.507189 | − | 0.861835i | \(-0.669315\pi\) | ||||
−0.507189 | + | 0.861835i | \(0.669315\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.5003 | − | 5.13854i | 1.12729 | − | 0.331003i | 0.335649 | − | 0.941987i | \(-0.391044\pi\) |
0.791643 | + | 0.610985i | \(0.209226\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.841254 | − | 0.540641i | −0.0539664 | − | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −10.9663 | + | 24.0129i | −0.700613 | + | 1.53413i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.27806 | + | 0.962526i | −0.208578 | + | 0.0612440i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 8.39973 | − | 9.69380i | 0.532311 | − | 0.614320i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.56712 | + | 24.8099i | 0.225155 | + | 1.56599i | 0.718109 | + | 0.695930i | \(0.245008\pi\) |
−0.492954 | + | 0.870055i | \(0.664083\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.0324 | − | 19.6564i | 1.07082 | − | 1.23579i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.46412 | − | 1.58359i | −0.154309 | − | 0.0991685i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 12.5970 | + | 3.69881i | 0.785778 | + | 0.230725i | 0.649919 | − | 0.760003i | \(-0.274803\pi\) |
0.135858 | + | 0.990728i | \(0.456621\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −34.5240 | − | 39.8428i | −2.14522 | − | 2.47571i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.06888 | − | 1.23356i | −0.0661622 | − | 0.0763552i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −14.5251 | − | 4.26494i | −0.895654 | − | 0.262988i | −0.198663 | − | 0.980068i | \(-0.563660\pi\) |
−0.696991 | + | 0.717080i | \(0.745478\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.48987 | + | 14.2108i | −0.398670 | + | 0.872965i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.75680 | 0.229913 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −10.9118 | −0.665302 | −0.332651 | − | 0.943050i | \(-0.607943\pi\) | ||||
−0.332651 | + | 0.943050i | \(0.607943\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.62936 | − | 14.5163i | 0.402705 | − | 0.881801i | −0.594284 | − | 0.804256i | \(-0.702564\pi\) |
0.996989 | − | 0.0775458i | \(-0.0247084\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.18539 | − | 0.641688i | −0.132266 | − | 0.0388367i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −4.24690 | − | 4.90118i | −0.256097 | − | 0.295552i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.4193 | + | 16.6407i | 0.866369 | + | 0.999843i | 0.999961 | + | 0.00880696i | \(0.00280338\pi\) |
−0.133592 | + | 0.991036i | \(0.542651\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 3.17316 | + | 0.931724i | 0.189972 | + | 0.0557808i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.7827 | − | 9.50024i | −0.881859 | − | 0.566737i | 0.0194993 | − | 0.999810i | \(-0.493793\pi\) |
−0.901359 | + | 0.433073i | \(0.857429\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.70210 | + | 8.88869i | −0.457842 | + | 0.528378i | −0.936990 | − | 0.349356i | \(-0.886400\pi\) |
0.479148 | + | 0.877734i | \(0.340946\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.82093 | + | 12.6649i | 0.107863 | + | 0.750202i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.69928 | − | 5.42325i | 0.277390 | − | 0.320125i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.9045 | − | 4.08273i | 0.817913 | − | 0.240161i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.37444 | + | 7.38899i | −0.197813 | + | 0.433150i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 19.5937 | + | 12.5921i | 1.14468 | + | 0.735639i | 0.968572 | − | 0.248733i | \(-0.0800140\pi\) |
0.176104 | + | 0.984372i | \(0.443650\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 20.4717 | − | 6.01105i | 1.19191 | − | 0.349977i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.10523 | 0.238210 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2.63194 | + | 1.69145i | −0.152209 | + | 0.0978189i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.81093 | − | 3.24399i | 0.162020 | − | 0.186981i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4.05634 | + | 8.88215i | 0.233031 | + | 0.510266i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 17.1585 | 0.982490 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.0816 | + | 9.69236i | −0.860753 | + | 0.553172i | −0.894911 | − | 0.446244i | \(-0.852761\pi\) |
0.0341585 | + | 0.999416i | \(0.489125\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.365983 | − | 2.54547i | −0.0208200 | − | 0.144807i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.00768065 | + | 0.0534201i | 0.000435530 | + | 0.00302918i | 0.990038 | − | 0.140800i | \(-0.0449675\pi\) |
−0.989603 | + | 0.143829i | \(0.954058\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.64685 | + | 7.98548i | 0.206132 | + | 0.451366i | 0.984257 | − | 0.176743i | \(-0.0565563\pi\) |
−0.778125 | + | 0.628109i | \(0.783829\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.54354 | + | 7.75928i | −0.199656 | + | 0.437186i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.38885 | − | 9.65969i | 0.0780058 | − | 0.542542i | −0.912921 | − | 0.408137i | \(-0.866179\pi\) |
0.990926 | − | 0.134405i | \(-0.0429123\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.42925 | + | 1.88780i | 0.359969 | + | 0.105696i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.39651 | + | 9.71295i | −0.0779457 | + | 0.542124i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 9.21820 | + | 5.92418i | 0.512914 | + | 0.329630i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.324062 | + | 0.709597i | 0.0179757 | + | 0.0393614i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0.366325 | − | 0.235423i | 0.0202578 | − | 0.0130189i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −25.9876 | + | 7.63064i | −1.43274 | + | 0.420691i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.54626 | + | 24.6648i | −0.194920 | + | 1.35570i | 0.623836 | + | 0.781555i | \(0.285573\pi\) |
−0.818756 | + | 0.574142i | \(0.805336\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −7.48506 | − | 8.63821i | −0.410179 | − | 0.473371i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −13.8543 | + | 6.10047i | −0.756942 | + | 0.333304i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.81542 | − | 7.86541i | −0.371259 | − | 0.428456i | 0.539121 | − | 0.842228i | \(-0.318757\pi\) |
−0.910381 | + | 0.413772i | \(0.864211\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.62481 | − | 18.2560i | 0.142560 | − | 0.991528i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −13.0266 | + | 3.82494i | −0.705427 | + | 0.207132i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 28.2249 | − | 18.1391i | 1.52400 | − | 0.979417i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 4.86743 | + | 10.6582i | 0.262054 | + | 0.573818i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −12.2066 | − | 7.84470i | −0.655284 | − | 0.421125i | 0.170310 | − | 0.985391i | \(-0.445523\pi\) |
−0.825594 | + | 0.564265i | \(0.809160\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.48399 | + | 17.2766i | −0.132965 | + | 0.924793i | 0.808695 | + | 0.588228i | \(0.200174\pi\) |
−0.941660 | + | 0.336565i | \(0.890735\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.473809 | − | 0.139123i | −0.0252900 | − | 0.00742582i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.962906 | − | 6.69716i | 0.0512503 | − | 0.356454i | −0.948018 | − | 0.318216i | \(-0.896916\pi\) |
0.999269 | − | 0.0382381i | \(-0.0121745\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.71784 | − | 10.3306i | 0.250397 | − | 0.548293i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.03468 | + | 6.64502i | 0.160612 | + | 0.351692i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1.81395 | + | 12.6163i | 0.0957366 | + | 0.665862i | 0.980018 | + | 0.198908i | \(0.0637396\pi\) |
−0.884282 | + | 0.466954i | \(0.845351\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.10808 | − | 28.5723i | −0.216215 | − | 1.50381i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −4.92380 | + | 3.16433i | −0.258432 | + | 0.166084i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −16.9109 | −0.885156 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.26465 | + | 4.95888i | 0.118214 | + | 0.258852i | 0.959484 | − | 0.281763i | \(-0.0909191\pi\) |
−0.841271 | + | 0.540614i | \(0.818192\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.01884 | − | 1.17580i | 0.0530386 | − | 0.0612098i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 32.7776 | − | 21.0649i | 1.70173 | − | 1.09363i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.09455 | 0.0566735 | 0.0283367 | − | 0.999598i | \(-0.490979\pi\) | ||||
0.0283367 | + | 0.999598i | \(0.490979\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 11.6756 | − | 3.42827i | 0.602927 | − | 0.177035i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.678062 | − | 0.435764i | −0.0349219 | − | 0.0224430i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.66924 | + | 21.1727i | −0.496675 | + | 1.08757i | 0.480860 | + | 0.876797i | \(0.340324\pi\) |
−0.977536 | + | 0.210770i | \(0.932403\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 11.5368 | − | 3.38750i | 0.591046 | − | 0.173547i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 7.50660 | − | 8.66307i | 0.383569 | − | 0.442662i | −0.530829 | − | 0.847479i | \(-0.678119\pi\) |
0.914398 | + | 0.404817i | \(0.132665\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.98360 | − | 34.6617i | −0.253988 | − | 1.76652i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0.609432 | − | 0.703322i | 0.0309791 | − | 0.0357518i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 15.8095 | + | 10.1602i | 0.801576 | + | 0.515141i | 0.876130 | − | 0.482076i | \(-0.160117\pi\) |
−0.0745540 | + | 0.997217i | \(0.523753\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.62798 | + | 2.82703i | 0.486908 | + | 0.142969i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −9.66390 | − | 11.1527i | −0.487479 | − | 0.562581i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.58302 | + | 4.13503i | 0.180281 | + | 0.208056i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 18.7418 | + | 5.50310i | 0.940626 | + | 0.276193i | 0.715879 | − | 0.698225i | \(-0.246026\pi\) |
0.224747 | + | 0.974417i | \(0.427844\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 13.2563 | − | 29.0272i | 0.663645 | − | 1.45318i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 8.91856 | 0.445372 | 0.222686 | − | 0.974890i | \(-0.428518\pi\) | ||||
0.222686 | + | 0.974890i | \(0.428518\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.63309 | 0.0813502 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.768266 | + | 1.68227i | −0.0381755 | + | 0.0835926i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 45.0221 | + | 13.2197i | 2.23166 | + | 0.655275i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 5.63197 | + | 6.49964i | 0.278483 | + | 0.321387i | 0.877710 | − | 0.479193i | \(-0.159071\pi\) |
−0.599227 | + | 0.800579i | \(0.704525\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −9.83242 | − | 11.3472i | −0.484998 | − | 0.559717i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −51.0565 | − | 14.9915i | −2.51233 | − | 0.737685i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −19.9560 | − | 12.8249i | −0.979600 | − | 0.629551i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.30540 | + | 3.81463i | −0.161866 | + | 0.186803i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5.38137 | + | 37.4282i | 0.262897 | + | 1.82849i | 0.510796 | + | 0.859702i | \(0.329351\pi\) |
−0.247899 | + | 0.968786i | \(0.579740\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −14.8157 | + | 17.0982i | −0.722074 | + | 0.833317i | −0.991555 | − | 0.129688i | \(-0.958602\pi\) |
0.269481 | + | 0.963006i | \(0.413148\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −5.63430 | + | 1.65438i | −0.273949 | + | 0.0804387i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.03937 | − | 2.27591i | 0.0504171 | − | 0.110398i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −35.9999 | − | 23.1357i | −1.74216 | − | 1.11962i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.94509 | − | 0.571131i | 0.0939100 | − | 0.0275745i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 34.3651 | 1.65531 | 0.827653 | − | 0.561240i | \(-0.189675\pi\) | ||||
0.827653 | + | 0.561240i | \(0.189675\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.4773 | − | 15.7306i | 1.17630 | − | 0.755964i | 0.201600 | − | 0.979468i | \(-0.435386\pi\) |
0.974703 | + | 0.223503i | \(0.0717494\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.97679 | + | 2.28133i | −0.0947796 | + | 0.109382i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −18.2089 | − | 39.8720i | −0.871051 | − | 1.90734i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 33.7667 | 1.61159 | 0.805797 | − | 0.592191i | \(-0.201737\pi\) | ||||
0.805797 | + | 0.592191i | \(0.201737\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 12.0081 | − | 7.71717i | 0.571817 | − | 0.367484i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 2.29650 | + | 15.9725i | 0.109110 | + | 0.758877i | 0.968761 | + | 0.247996i | \(0.0797719\pi\) |
−0.859651 | + | 0.510882i | \(0.829319\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.988777 | − | 6.87710i | −0.0468725 | − | 0.326006i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 1.56274 | + | 3.42192i | 0.0739150 | + | 0.161851i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 7.83955 | − | 17.1662i | 0.369971 | − | 0.810124i | −0.629481 | − | 0.777016i | \(-0.716732\pi\) |
0.999452 | − | 0.0331077i | \(-0.0105404\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.908959 | + | 6.32195i | −0.0428012 | + | 0.297689i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −11.2954 | − | 3.31662i | −0.530702 | − | 0.155828i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.599469 | + | 4.16940i | −0.0281035 | + | 0.195464i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.44648 | − | 0.929595i | −0.0676634 | − | 0.0434846i | 0.506372 | − | 0.862315i | \(-0.330986\pi\) |
−0.574035 | + | 0.818831i | \(0.694623\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.657941 | + | 1.44069i | 0.0307101 | + | 0.0672457i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 18.2495 | − | 11.7282i | 0.849963 | − | 0.546238i | −0.0416002 | − | 0.999134i | \(-0.513246\pi\) |
0.891563 | + | 0.452896i | \(0.149609\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.6258 | + | 3.41366i | −0.540299 | + | 0.158646i | −0.540485 | − | 0.841354i | \(-0.681759\pi\) |
0.000185625 | 1.00000i | \(0.499941\pi\) | ||||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0.870422 | − | 6.05392i | 0.0403649 | − | 0.280744i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.0328409 | − | 0.0379004i | −0.00151969 | − | 0.00175382i | 0.754989 | − | 0.655737i | \(-0.227642\pi\) |
−0.756509 | + | 0.653983i | \(0.773097\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 37.2931 | + | 5.88126i | 1.72204 | + | 0.271571i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.5773 | − | 13.3609i | −0.533452 | − | 0.615636i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.543706 | + | 3.78156i | −0.0249996 | + | 0.173876i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.4867 | + | 3.07919i | −0.481165 | + | 0.141283i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.10642 | − | 4.56702i | 0.325381 | − | 0.209110i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 10.8701 | + | 23.8022i | 0.496667 | + | 1.08755i | 0.977538 | + | 0.210757i | \(0.0675930\pi\) |
−0.480872 | + | 0.876791i | \(0.659680\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.74826 | − | 3.05152i | −0.216502 | − | 0.139137i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 4.15876 | − | 28.9248i | 0.189230 | − | 1.31613i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 14.4142 | + | 4.23239i | 0.654516 | + | 0.192183i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.575244 | − | 4.00091i | 0.0260668 | − | 0.181298i | −0.972628 | − | 0.232366i | \(-0.925353\pi\) |
0.998695 | + | 0.0510676i | \(0.0162624\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 8.08859 | − | 17.7115i | 0.365779 | − | 0.800944i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 16.2832 | + | 35.6553i | 0.734852 | + | 1.60910i | 0.791842 | + | 0.610726i | \(0.209122\pi\) |
−0.0569906 | + | 0.998375i | \(0.518151\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.367906 | + | 2.55884i | 0.0165696 | + | 0.115244i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.08048 | − | 7.51492i | −0.0485641 | − | 0.337770i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −23.8278 | + | 15.3132i | −1.06882 | + | 0.686891i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.36150 | −0.150481 | −0.0752406 | − | 0.997165i | \(-0.523972\pi\) | ||||
−0.0752406 | + | 0.997165i | \(0.523972\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.38670 | − | 3.03644i | −0.0619530 | − | 0.135658i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 23.3166 | − | 26.9088i | 1.03963 | − | 1.19980i | 0.0601692 | − | 0.998188i | \(-0.480836\pi\) |
0.979465 | − | 0.201614i | \(-0.0646186\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.1918 | − | 9.76317i | 0.676026 | − | 0.434455i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 12.7562 | 0.566521 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −24.8060 | + | 7.28369i | −1.09950 | + | 0.322844i | −0.780655 | − | 0.624962i | \(-0.785115\pi\) |
−0.318849 | + | 0.947805i | \(0.603296\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 35.4805 | + | 22.8019i | 1.56956 | + | 1.00870i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.87406 | − | 6.29332i | 0.126893 | − | 0.277857i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −4.56333 | + | 1.33992i | −0.201084 | + | 0.0590437i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 15.7865 | − | 18.2185i | 0.694288 | − | 0.801251i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.26962 | + | 8.83039i | 0.0557301 | + | 0.387611i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −2.95775 | + | 3.41343i | −0.129581 | + | 0.149545i | −0.816832 | − | 0.576875i | \(-0.804272\pi\) |
0.687251 | + | 0.726420i | \(0.258817\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.32057 | − | 4.06198i | −0.276379 | − | 0.177618i | 0.395107 | − | 0.918635i | \(-0.370707\pi\) |
−0.671486 | + | 0.741017i | \(0.734344\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −6.99121 | − | 2.05281i | −0.305122 | − | 0.0895918i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −3.43008 | − | 3.95852i | −0.149417 | − | 0.172436i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.2243 | − | 12.9535i | −0.488011 | − | 0.563195i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −11.0694 | − | 3.25028i | −0.480372 | − | 0.141050i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.319154 | − | 0.698849i | 0.0138241 | − | 0.0302705i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.1478 | 0.784598 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −20.3756 | −0.879272 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −24.3427 | + | 53.3031i | −1.04852 | + | 2.29593i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.0683 | + | 4.13082i | 0.604842 | + | 0.177598i | 0.569793 | − | 0.821788i | \(-0.307023\pi\) |
0.0350487 | + | 0.999386i | \(0.488841\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.84961 | − | 9.05894i | −0.336859 | − | 0.388756i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.527374 | − | 0.608622i | −0.0225902 | − | 0.0260705i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 25.5091 | + | 7.49015i | 1.09069 | + | 0.320256i | 0.777148 | − | 0.629318i | \(-0.216666\pi\) |
0.313543 | + | 0.949574i | \(0.398484\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −7.80504 | − | 5.01600i | −0.333111 | − | 0.214078i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 7.39510 | − | 8.53440i | 0.315042 | − | 0.363578i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.94199 | − | 13.5068i | −0.0825818 | − | 0.574369i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −13.8428 | + | 15.9755i | −0.587595 | + | 0.678121i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.08920 | − | 0.319819i | 0.0461510 | − | 0.0135512i | −0.258576 | − | 0.965991i | \(-0.583253\pi\) |
0.304727 | + | 0.952440i | \(0.401435\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.190906 | − | 0.418026i | 0.00807446 | − | 0.0176806i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −5.46978 | − | 3.51521i | −0.230934 | − | 0.148412i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 33.8986 | − | 9.95352i | 1.42865 | − | 0.419491i | 0.526231 | − | 0.850341i | \(-0.323605\pi\) |
0.902423 | + | 0.430850i | \(0.141786\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −34.1097 | −1.43500 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.88019 | − | 2.49364i | 0.162953 | − | 0.104723i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −23.3991 | + | 27.0040i | −0.980941 | + | 1.13207i | 0.0102926 | + | 0.999947i | \(0.496724\pi\) |
−0.991234 | + | 0.132119i | \(0.957822\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.5013 | − | 36.1328i | −0.690557 | − | 1.51211i | −0.851057 | − | 0.525074i | \(-0.824038\pi\) |
0.160499 | − | 0.987036i | \(-0.448690\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.80184 | 0.0752729 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −8.41977 | + | 5.41106i | −0.351129 | + | 0.225657i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.00560 | + | 6.99407i | 0.0418635 | + | 0.291167i | 0.999988 | + | 0.00481642i | \(0.00153312\pi\) |
−0.958125 | + | 0.286351i | \(0.907558\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −0.587667 | − | 4.08732i | −0.0244226 | − | 0.169863i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 24.5767 | + | 53.8155i | 1.01961 | + | 2.23264i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −14.4060 | + | 31.5448i | −0.596636 | + | 1.30645i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.129969 | + | 0.903957i | −0.00537357 | + | 0.0373740i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 32.1613 | + | 9.44342i | 1.32744 | + | 0.389772i | 0.867172 | − | 0.498008i | \(-0.165935\pi\) |
0.460268 | + | 0.887780i | \(0.347753\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.25622 | + | 22.6475i | −0.134170 | + | 0.933175i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 19.0493 | + | 12.2422i | 0.783581 | + | 0.503577i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.81490 | − | 19.3019i | −0.361985 | − | 0.792636i | −0.999749 | − | 0.0224043i | \(-0.992868\pi\) |
0.637764 | − | 0.770232i | \(-0.279859\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 11.3655 | − | 7.30414i | 0.465939 | − | 0.299441i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 8.93397 | − | 2.62325i | 0.365643 | − | 0.107362i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −4.89689 | + | 34.0586i | −0.200081 | + | 1.39160i | 0.603956 | + | 0.797018i | \(0.293590\pi\) |
−0.804037 | + | 0.594579i | \(0.797319\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −24.8307 | − | 28.6562i | −1.01287 | − | 1.16891i | −0.985568 | − | 0.169282i | \(-0.945855\pi\) |
−0.0272976 | − | 0.999627i | \(-0.508690\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 8.08543 | + | 1.27510i | 0.329264 | + | 0.0519261i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 7.08846 | + | 8.18052i | 0.288187 | + | 0.332585i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.35391 | + | 23.3270i | −0.136131 | + | 0.946813i | 0.801206 | + | 0.598389i | \(0.204192\pi\) |
−0.937337 | + | 0.348424i | \(0.886717\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 7.22351 | − | 2.12102i | 0.292712 | − | 0.0859479i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.43942 | + | 1.56772i | −0.0986883 | + | 0.0634231i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.42453 | − | 3.11929i | −0.0575363 | − | 0.125987i | 0.878680 | − | 0.477411i | \(-0.158425\pi\) |
−0.936216 | + | 0.351424i | \(0.885697\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.42054 | − | 1.55559i | −0.0976057 | − | 0.0627274i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −6.05846 | + | 42.1375i | −0.243904 | + | 1.69639i | 0.388254 | + | 0.921552i | \(0.373078\pi\) |
−0.632158 | + | 0.774839i | \(0.717831\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −41.1031 | − | 12.0690i | −1.65207 | − | 0.485093i | −0.682703 | − | 0.730696i | \(-0.739196\pi\) |
−0.969370 | + | 0.245603i | \(0.921014\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.901651 | − | 6.27112i | 0.0361820 | − | 0.251651i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.19824 | + | 15.7620i | −0.288391 | + | 0.631489i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.06744 | − | 13.2858i | −0.242698 | − | 0.531434i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.04205 | + | 28.1131i | 0.161424 | + | 1.12273i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 2.57633 | + | 17.9188i | 0.102725 | + | 0.714468i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −28.4121 | + | 18.2593i | −1.13107 | + | 0.726892i | −0.965782 | − | 0.259354i | \(-0.916490\pi\) |
−0.165284 | + | 0.986246i | \(0.552854\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −8.44437 | −0.335633 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −9.23749 | − | 20.2273i | −0.366579 | − | 0.802695i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.61593 | − | 5.32707i | 0.182890 | − | 0.211066i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −5.16604 | + | 3.32002i | −0.204366 | + | 0.131338i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.58754 | 0.220695 | 0.110347 | − | 0.993893i | \(-0.464804\pi\) | ||||
0.110347 | + | 0.993893i | \(0.464804\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −39.4820 | + | 11.5929i | −1.55702 | + | 0.457181i | −0.943188 | − | 0.332258i | \(-0.892189\pi\) |
−0.613828 | + | 0.789440i | \(0.710371\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.44788 | − | 0.930496i | −0.0570102 | − | 0.0366382i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 16.0446 | − | 35.1328i | 0.630779 | − | 1.38121i | −0.276635 | − | 0.960975i | \(-0.589219\pi\) |
0.907414 | − | 0.420238i | \(-0.138053\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 45.4426 | − | 13.3431i | 1.78378 | − | 0.523764i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −9.98906 | + | 11.5280i | −0.391502 | + | 0.451818i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.138287 | + | 0.961807i | 0.00541159 | + | 0.0376384i | 0.992348 | − | 0.123470i | \(-0.0394022\pi\) |
−0.986937 | + | 0.161108i | \(0.948493\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.8724 | + | 20.6258i | −0.698331 | + | 0.805917i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 7.69243 | + | 4.94362i | 0.300110 | + | 0.192869i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −33.8671 | − | 9.94428i | −1.31928 | − | 0.387374i | −0.455044 | − | 0.890469i | \(-0.650377\pi\) |
−0.864231 | + | 0.503095i | \(0.832195\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.9115 | − | 18.3628i | −0.618885 | − | 0.714232i | 0.356610 | − | 0.934253i | \(-0.383933\pi\) |
−0.975495 | + | 0.220022i | \(0.929387\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0.512171 | + | 0.591077i | 0.0198911 | + | 0.0229555i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −56.6254 | − | 16.6267i | −2.19584 | − | 0.644757i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.29587 | − | 9.40665i | 0.166337 | − | 0.364227i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 12.2438 | 0.473373 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 38.0878 | 1.47036 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.5316 | + | 38.3890i | −0.675795 | + | 1.47979i | 0.191242 | + | 0.981543i | \(0.438748\pi\) |
−0.867038 | + | 0.498243i | \(0.833979\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.51575 | − | 0.445064i | −0.0583411 | − | 0.0171305i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −14.8448 | − | 17.1319i | −0.570533 | − | 0.658431i | 0.395009 | − | 0.918677i | \(-0.370742\pi\) |
−0.965542 | + | 0.260247i | \(0.916196\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −24.5354 | − | 28.3154i | −0.941584 | − | 1.08665i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 26.2056 | + | 7.69465i | 1.00420 | + | 0.294860i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −31.5462 | − | 20.2735i | −1.20708 | − | 0.775744i | −0.226914 | − | 0.973915i | \(-0.572864\pi\) |
−0.980168 | + | 0.198171i | \(0.936500\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −18.1840 | + | 20.9855i | −0.694776 | + | 0.801814i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.66469 | − | 11.5782i | −0.0635118 | − | 0.441734i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 2.73171 | − | 3.15256i | 0.104070 | − | 0.120103i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.5198 | − | 4.85066i | 0.628445 | − | 0.184528i | 0.0480258 | − | 0.998846i | \(-0.484707\pi\) |
0.580419 | + | 0.814318i | \(0.302889\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −7.86585 | + | 17.2238i | −0.298799 | + | 0.654278i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 7.85292 | + | 5.04676i | 0.297878 | + | 0.191435i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.36430 | + | 0.694222i | −0.0895544 | + | 0.0262955i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −22.3614 | −0.845788 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 29.1690 | − | 18.7458i | 1.10170 | − | 0.708019i | 0.142230 | − | 0.989834i | \(-0.454573\pi\) |
0.959469 | + | 0.281815i | \(0.0909365\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 51.7856 | − | 59.7638i | 1.95313 | − | 2.25403i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 4.51139 | + | 9.87856i | 0.169909 | + | 0.372048i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −45.0379 | −1.69382 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 15.7435 | − | 10.1177i | 0.591259 | − | 0.379979i | −0.210529 | − | 0.977588i | \(-0.567519\pi\) |
0.801788 | + | 0.597608i | \(0.203882\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.421038 | − | 2.92838i | −0.0157901 | − | 0.109823i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2.98187 | + | 20.7393i | 0.111672 | + | 0.776695i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.55744 | − | 3.41031i | −0.0582449 | − | 0.127539i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6.51450 | − | 14.2648i | 0.243288 | − | 0.532727i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.115861 | − | 0.805828i | 0.00432087 | − | 0.0300523i | −0.987547 | − | 0.157325i | \(-0.949713\pi\) |
0.991868 | + | 0.127272i | \(0.0406222\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.3809 | + | 3.34175i | 0.423848 | + | 0.124453i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.59569 | + | 18.0534i | −0.0965348 | + | 0.671414i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.16917 | − | 1.39404i | −0.0805608 | − | 0.0517733i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 9.69537 | + | 21.2299i | 0.359581 | + | 0.787373i | 0.999816 | + | 0.0191937i | \(0.00610993\pi\) |
−0.640234 | + | 0.768180i | \(0.721163\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | − | 0.540641i | 0.0311575 | − | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.41424 | + | 0.415258i | −0.0523075 | + | 0.0153589i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.05196 | − | 49.0475i | 0.260470 | − | 1.81161i | −0.268845 | − | 0.963184i | \(-0.586642\pi\) |
0.529315 | − | 0.848425i | \(-0.322449\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −17.2873 | − | 19.9506i | −0.637653 | − | 0.735890i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −30.7534 | + | 13.5416i | −1.13282 | + | 0.498813i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.93306 | − | 6.84712i | −0.218251 | − | 0.251875i | 0.636057 | − | 0.771642i | \(-0.280564\pi\) |
−0.854308 | + | 0.519767i | \(0.826019\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.486212 | − | 3.38168i | 0.0178614 | − | 0.124229i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −5.38620 | + | 1.58153i | −0.197600 | + | 0.0580207i | −0.379035 | − | 0.925382i | \(-0.623744\pi\) |
0.181435 | + | 0.983403i | \(0.441926\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.85276 | − | 3.76134i | 0.214429 | − | 0.137805i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 5.32842 | + | 11.6676i | 0.194957 | + | 0.426896i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −38.0756 | − | 24.4697i | −1.39125 | − | 0.894104i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.55729 | + | 17.7864i | −0.0933169 | + | 0.649033i | 0.888454 | + | 0.458966i | \(0.151780\pi\) |
−0.981771 | + | 0.190068i | \(0.939129\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −24.0497 | − | 7.06163i | −0.876420 | − | 0.257340i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −3.09841 | + | 21.5499i | −0.112763 | + | 0.784281i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.19822 | − | 2.62374i | 0.0435501 | − | 0.0953614i | −0.886606 | − | 0.462525i | \(-0.846944\pi\) |
0.930157 | + | 0.367163i | \(0.119671\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 10.8046 | + | 23.6587i | 0.392182 | + | 0.858758i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −3.84810 | − | 26.7641i | −0.139493 | − | 0.970198i | −0.932548 | − | 0.361047i | \(-0.882419\pi\) |
0.793054 | − | 0.609151i | \(-0.208490\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.285835 | + | 1.98803i | 0.0103479 | + | 0.0719714i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.46412 | − | 1.58359i | 0.0890904 | − | 0.0572549i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −5.69698 | −0.205706 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.59671 | + | 10.0654i | 0.165762 | + | 0.362967i | 0.974225 | − | 0.225580i | \(-0.0724276\pi\) |
−0.808463 | + | 0.588547i | \(0.799700\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −8.59752 | + | 9.92207i | −0.309632 | + | 0.357335i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 12.4522 | − | 8.00256i | 0.447876 | − | 0.287832i | −0.297196 | − | 0.954816i | \(-0.596052\pi\) |
0.745072 | + | 0.666984i | \(0.232415\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.22438 | 0.187665 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 50.5841 | − | 14.8528i | 1.81469 | − | 0.532842i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 9.05518 | + | 5.81941i | 0.324436 | + | 0.208502i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.4725 | − | 22.9316i | 0.374736 | − | 0.820558i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.56611 | − | 0.459852i | 0.0559683 | − | 0.0164338i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −21.4109 | + | 24.7095i | −0.764189 | + | 0.881921i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.647058 | + | 4.50039i | 0.0230651 | + | 0.160422i | 0.998099 | − | 0.0616360i | \(-0.0196318\pi\) |
−0.975034 | + | 0.222058i | \(0.928723\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 9.91346 | − | 11.4407i | 0.352929 | − | 0.407301i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 71.5650 | + | 45.9920i | 2.54456 | + | 1.63529i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.39594 | − | 1.29076i | −0.156104 | − | 0.0458364i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −10.2306 | − | 11.8068i | −0.362843 | − | 0.418744i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −15.5834 | − | 17.9842i | −0.551993 | − | 0.637034i | 0.409353 | − | 0.912376i | \(-0.365754\pi\) |
−0.961346 | + | 0.275342i | \(0.911209\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.92370 | + | 2.62023i | 0.315698 | + | 0.0926972i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1.56063 | + | 3.41731i | −0.0551422 | + | 0.120745i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −37.5383 | −1.32470 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −54.0435 | −1.90478 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 4.53291 | − | 9.92569i | 0.159566 | − | 0.349401i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −3.53058 | − | 1.03667i | −0.124129 | − | 0.0364475i | 0.219078 | − | 0.975707i | \(-0.429695\pi\) |
−0.343207 | + | 0.939260i | \(0.611513\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 21.2806 | + | 24.5592i | 0.747264 | + | 0.862389i | 0.994300 | − | 0.106617i | \(-0.0340020\pi\) |
−0.247036 | + | 0.969006i | \(0.579457\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 10.4505 | + | 12.0606i | 0.366516 | + | 0.422982i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −34.5511 | − | 10.1451i | −1.21027 | − | 0.355368i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.41648 | + | 3.48096i | 0.189499 | + | 0.121783i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 1.49154 | − | 1.72133i | 0.0521187 | − | 0.0601482i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.125132 | − | 0.870315i | −0.00436715 | − | 0.0303742i | 0.987521 | − | 0.157485i | \(-0.0503387\pi\) |
−0.991889 | + | 0.127111i | \(0.959430\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −31.9427 | + | 36.8639i | −1.11345 | + | 1.28499i | −0.158789 | + | 0.987313i | \(0.550759\pi\) |
−0.954665 | + | 0.297682i | \(0.903787\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 6.22249 | − | 1.82709i | 0.216639 | − | 0.0636111i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −5.27182 | + | 11.5437i | −0.183319 | + | 0.401413i | −0.978873 | − | 0.204470i | \(-0.934453\pi\) |
0.795554 | + | 0.605883i | \(0.207180\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.4307 | − | 7.34607i | −0.397005 | − | 0.255140i | 0.326872 | − | 0.945069i | \(-0.394005\pi\) |
−0.723877 | + | 0.689929i | \(0.757642\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −21.1269 | + | 6.20342i | −0.732884 | + | 0.215194i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −22.6076 | −0.783307 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.19345 | + | 3.33763i | −0.179727 | + | 0.115503i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2.16570 | + | 2.49935i | −0.0748577 | + | 0.0863903i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −13.5772 | − | 29.7299i | −0.468736 | − | 1.02639i | −0.985409 | − | 0.170206i | \(-0.945557\pi\) |
0.516672 | − | 0.856183i | \(-0.327171\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.3358 | −0.908132 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 14.7827 | − | 9.50024i | 0.509142 | − | 0.327206i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −3.35737 | − | 23.3510i | −0.115497 | − | 0.803300i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.84193 | − | 26.7212i | −0.132010 | − | 0.918151i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −4.88587 | − | 10.6986i | −0.167683 | − | 0.367174i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 30.0827 | − | 65.8719i | 1.03122 | − | 2.25806i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.70948 | + | 46.6655i | −0.229728 | + | 1.59780i | 0.469523 | + | 0.882920i | \(0.344426\pi\) |
−0.699252 | + | 0.714876i | \(0.746483\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −12.2768 | − | 3.60480i | −0.419858 | − | 0.123281i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −4.46826 | + | 31.0774i | −0.152633 | + | 1.06158i | 0.759151 | + | 0.650915i | \(0.225614\pi\) |
−0.911784 | + | 0.410670i | \(0.865295\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −28.7134 | − | 18.4530i | −0.979689 | − | 0.629608i | −0.0503092 | − | 0.998734i | \(-0.516021\pi\) |
−0.929379 | + | 0.369126i | \(0.879657\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.98102 | + | 6.52751i | 0.101593 | + | 0.222457i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.20213 | − | 0.772564i | 0.0409211 | − | 0.0262984i | −0.520020 | − | 0.854154i | \(-0.674076\pi\) |
0.560941 | + | 0.827855i | \(0.310439\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 15.8305 | − | 4.64826i | 0.538253 | − | 0.158045i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.06236 | + | 14.3440i | −0.0700414 | + | 0.487148i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 7.95348 | + | 9.17881i | 0.269803 | + | 0.311370i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 4.00834 | − | 0.520713i | 0.135817 | − | 0.0176437i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −5.31947 | − | 6.13899i | −0.180037 | − | 0.207773i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −7.98756 | + | 55.5547i | −0.270029 | + | 1.87809i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 38.7793 | − | 11.3866i | 1.30949 | − | 0.384500i | 0.448798 | − | 0.893633i | \(-0.351852\pi\) |
0.860687 | + | 0.509134i | \(0.170034\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −19.5937 | + | 12.5921i | −0.660879 | + | 0.424721i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.87336 | + | 6.29179i | 0.0968061 | + | 0.211976i | 0.951839 | − | 0.306598i | \(-0.0991906\pi\) |
−0.855033 | + | 0.518573i | \(0.826463\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 24.5436 | + | 15.7732i | 0.825957 | + | 0.530810i | 0.883991 | − | 0.467504i | \(-0.154847\pi\) |
−0.0580339 | + | 0.998315i | \(0.518483\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −3.03643 | + | 21.1188i | −0.102068 | + | 0.709902i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −20.9515 | − | 6.15192i | −0.703483 | − | 0.206561i | −0.0896226 | − | 0.995976i | \(-0.528566\pi\) |
−0.613861 | + | 0.789415i | \(0.710384\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.89256 | + | 54.8940i | −0.264708 | + | 1.84108i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.70538 | + | 3.73425i | −0.0571322 | + | 0.125102i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −16.8770 | − | 36.9554i | −0.564766 | − | 1.23667i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.36278 | + | 37.2990i | 0.179258 | + | 1.24677i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.445246 | − | 3.09675i | −0.0148663 | − | 0.103398i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −4.54107 | + | 2.91837i | −0.151453 | + | 0.0973330i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −13.3792 | −0.445725 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.78313 | + | 3.90452i | 0.0593390 | + | 0.129934i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −14.5170 | + | 16.7536i | −0.482563 | + | 0.556907i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −9.49431 | + | 6.10163i | −0.315254 | + | 0.202601i | −0.688692 | − | 0.725054i | \(-0.741815\pi\) |
0.373439 | + | 0.927655i | \(0.378179\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −9.76455 | −0.323870 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −32.2891 | + | 9.48093i | −1.06978 | + | 0.314117i | −0.768785 | − | 0.639507i | \(-0.779138\pi\) |
−0.300999 | + | 0.953624i | \(0.597320\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −44.2977 | − | 28.4684i | −1.46604 | − | 0.942166i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −7.12788 | + | 15.6079i | −0.235640 | + | 0.515981i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 65.3087 | − | 19.1764i | 2.15668 | − | 0.633259i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.1262 | + | 17.4566i | −0.498968 | + | 0.575840i | −0.948240 | − | 0.317555i | \(-0.897138\pi\) |
0.449272 | + | 0.893395i | \(0.351684\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −2.55136 | − | 17.7451i | −0.0840700 | − | 0.584720i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −1.98583 | + | 2.29177i | −0.0653643 | + | 0.0754344i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −15.1900 | − | 9.76202i | −0.499444 | − | 0.320973i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.46747 | + | 0.724515i | 0.0810424 | + | 0.0237962i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 21.4413 | + | 24.7446i | 0.703467 | + | 0.811844i | 0.989217 | − | 0.146460i | \(-0.0467880\pi\) |
−0.285749 | + | 0.958304i | \(0.592243\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 64.6714 | + | 74.6348i | 2.11952 | + | 2.44606i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.0517833 | − | 0.0152050i | −0.00169531 | − | 0.000497788i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −4.99522 | + | 10.9380i | −0.163361 | + | 0.357711i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −21.6247 | −0.706448 | −0.353224 | − | 0.935539i | \(-0.614915\pi\) | ||||
−0.353224 | + | 0.935539i | \(0.614915\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −8.77880 | −0.286485 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 8.52130 | − | 18.6590i | 0.277786 | − | 0.608267i | −0.718389 | − | 0.695641i | \(-0.755120\pi\) |
0.996176 | + | 0.0873741i | \(0.0278475\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.45772 | + | 2.77704i | 0.307986 | + | 0.0904328i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −5.58604 | − | 6.44664i | −0.181714 | − | 0.209709i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −17.8289 | − | 20.5757i | −0.579362 | − | 0.668619i | 0.388106 | − | 0.921615i | \(-0.373130\pi\) |
−0.967467 | + | 0.252996i | \(0.918584\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.33251 | + | 1.27214i | 0.140639 | + | 0.0412954i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 8.20981 | + | 5.27612i | 0.266221 | + | 0.171090i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 27.4964 | − | 31.7325i | 0.890696 | − | 1.02792i | −0.108731 | − | 0.994071i | \(-0.534679\pi\) |
0.999427 | − | 0.0338464i | \(-0.0107757\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.474237 | − | 3.29839i | −0.0153460 | − | 0.106734i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −4.38801 | + | 5.06403i | −0.141844 | + | 0.163697i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 66.4476 | − | 19.5108i | 2.14570 | − | 0.630035i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.33445 | + | 18.2499i | −0.268853 | + | 0.588707i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.25508 | − | 5.30522i | −0.266016 | − | 0.170958i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −7.32745 | + | 2.15153i | −0.235879 | + | 0.0692603i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.39852 | 0.141447 | 0.0707234 | − | 0.997496i | \(-0.477469\pi\) | ||||
0.0707234 | + | 0.997496i | \(0.477469\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −9.21820 | + | 5.92418i | −0.296131 | + | 0.190312i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1.84078 | − | 2.12437i | 0.0590733 | − | 0.0681743i | −0.725444 | − | 0.688281i | \(-0.758365\pi\) |
0.784517 | + | 0.620107i | \(0.212911\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −9.67125 | − | 21.1771i | −0.310046 | − | 0.678906i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.780093 | −0.0249830 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 43.9891 | − | 28.2701i | 1.40734 | − | 0.904440i | 0.407375 | − | 0.913261i | \(-0.366444\pi\) |
0.999961 | + | 0.00882098i | \(0.00280784\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.19486 | − | 15.2656i | −0.0701480 | − | 0.487890i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0.0619712 | + | 0.431019i | 0.00197859 | + | 0.0137614i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 7.54234 | + | 16.5154i | 0.240563 | + | 0.526760i | 0.990949 | − | 0.134240i | \(-0.0428594\pi\) |
−0.750386 | + | 0.661000i | \(0.770132\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 17.3965 | − | 38.0931i | 0.554300 | − | 1.21375i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 3.85455 | − | 26.8090i | 0.122692 | − | 0.853340i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 5.65726 | + | 1.66112i | 0.179890 | + | 0.0528206i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.95134 | − | 20.5270i | 0.0937524 | − | 0.652062i | −0.887709 | − | 0.460404i | \(-0.847704\pi\) |
0.981462 | − | 0.191658i | \(-0.0613865\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −20.9627 | − | 13.4719i | −0.665231 | − | 0.427518i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −7.15343 | − | 15.6638i | −0.226779 | − | 0.496577i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −35.0270 | + | 22.5105i | −1.10932 | + | 0.712913i | −0.961144 | − | 0.276048i | \(-0.910975\pi\) |
−0.148171 | + | 0.988962i | \(0.547339\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 10.9670 | − | 3.22020i | 0.346981 | − | 0.101883i |
(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 | 804.2.q.b.241.5 | ✓ | 60 | |
67.62 | even | 11 | inner | 804.2.q.b.397.5 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
804.2.q.b.241.5 | ✓ | 60 | 1.1 | even | 1 | trivial | |
804.2.q.b.397.5 | yes | 60 | 67.62 | even | 11 | inner |