Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1205,2,Mod(724,1205)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1205, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1205.724");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1205 = 5 \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1205.b (of order \(2\), degree \(1\), 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: | \(9.62197344356\) |
Analytic rank: | \(0\) |
Dimension: | \(46\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 724.32 | ||
Character | \(\chi\) | \(=\) | 1205.724 |
Dual form | 1205.2.b.c.724.15 |
$q$-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 \(\left(\mathbb{Z}/1205\mathbb{Z}\right)^\times\).
\(n\) | \(242\) | \(971\) |
\(\chi(n)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.09514i | 0.774383i | 0.921999 | + | 0.387191i | \(0.126555\pi\) | ||||
−0.921999 | + | 0.387191i | \(0.873445\pi\) | |||||||
\(3\) | − | 0.223927i | − | 0.129284i | −0.997909 | − | 0.0646421i | \(-0.979409\pi\) | ||
0.997909 | − | 0.0646421i | \(-0.0205906\pi\) | |||||||
\(4\) | 0.800662 | 0.400331 | ||||||||
\(5\) | −1.50518 | − | 1.65361i | −0.673139 | − | 0.739516i | ||||
\(6\) | 0.245232 | 0.100116 | ||||||||
\(7\) | 2.26365i | 0.855580i | 0.903878 | + | 0.427790i | \(0.140708\pi\) | ||||
−0.903878 | + | 0.427790i | \(0.859292\pi\) | |||||||
\(8\) | 3.06713i | 1.08439i | ||||||||
\(9\) | 2.94986 | 0.983286 | ||||||||
\(10\) | 1.81094 | − | 1.64839i | 0.572669 | − | 0.521267i | ||||
\(11\) | −3.16701 | −0.954889 | −0.477444 | − | 0.878662i | \(-0.658437\pi\) | ||||
−0.477444 | + | 0.878662i | \(0.658437\pi\) | |||||||
\(12\) | − | 0.179290i | − | 0.0517565i | ||||||
\(13\) | 0.0649874i | 0.0180243i | 0.999959 | + | 0.00901213i | \(0.00286869\pi\) | ||||
−0.999959 | + | 0.00901213i | \(0.997131\pi\) | |||||||
\(14\) | −2.47902 | −0.662546 | ||||||||
\(15\) | −0.370288 | + | 0.337051i | −0.0956078 | + | 0.0870262i | ||||
\(16\) | −1.75761 | −0.439404 | ||||||||
\(17\) | 4.44087i | 1.07707i | 0.842604 | + | 0.538534i | \(0.181022\pi\) | ||||
−0.842604 | + | 0.538534i | \(0.818978\pi\) | |||||||
\(18\) | 3.23051i | 0.761439i | ||||||||
\(19\) | −7.82407 | −1.79496 | −0.897482 | − | 0.441050i | \(-0.854606\pi\) | ||||
−0.897482 | + | 0.441050i | \(0.854606\pi\) | |||||||
\(20\) | −1.20514 | − | 1.32398i | −0.269478 | − | 0.296051i | ||||
\(21\) | 0.506893 | 0.110613 | ||||||||
\(22\) | − | 3.46833i | − | 0.739450i | ||||||
\(23\) | 2.53175i | 0.527906i | 0.964536 | + | 0.263953i | \(0.0850263\pi\) | ||||
−0.964536 | + | 0.263953i | \(0.914974\pi\) | |||||||
\(24\) | 0.686812 | 0.140195 | ||||||||
\(25\) | −0.468844 | + | 4.97797i | −0.0937689 | + | 0.995594i | ||||
\(26\) | −0.0711705 | −0.0139577 | ||||||||
\(27\) | − | 1.33233i | − | 0.256408i | ||||||
\(28\) | 1.81242i | 0.342515i | ||||||||
\(29\) | 6.53411 | 1.21335 | 0.606677 | − | 0.794949i | \(-0.292502\pi\) | ||||
0.606677 | + | 0.794949i | \(0.292502\pi\) | |||||||
\(30\) | −0.369119 | − | 0.405518i | −0.0673916 | − | 0.0740371i | ||||
\(31\) | 8.27459 | 1.48616 | 0.743080 | − | 0.669202i | \(-0.233364\pi\) | ||||
0.743080 | + | 0.669202i | \(0.233364\pi\) | |||||||
\(32\) | 4.20941i | 0.744126i | ||||||||
\(33\) | 0.709178i | 0.123452i | ||||||||
\(34\) | −4.86338 | −0.834063 | ||||||||
\(35\) | 3.74319 | − | 3.40721i | 0.632715 | − | 0.575924i | ||||
\(36\) | 2.36184 | 0.393640 | ||||||||
\(37\) | − | 2.73984i | − | 0.450428i | −0.974309 | − | 0.225214i | \(-0.927692\pi\) | ||
0.974309 | − | 0.225214i | \(-0.0723081\pi\) | |||||||
\(38\) | − | 8.56847i | − | 1.38999i | ||||||
\(39\) | 0.0145524 | 0.00233025 | ||||||||
\(40\) | 5.07183 | − | 4.61659i | 0.801926 | − | 0.729946i | ||||
\(41\) | −7.52088 | −1.17456 | −0.587282 | − | 0.809382i | \(-0.699802\pi\) | ||||
−0.587282 | + | 0.809382i | \(0.699802\pi\) | |||||||
\(42\) | 0.555120i | 0.0856568i | ||||||||
\(43\) | 10.7428i | 1.63827i | 0.573603 | + | 0.819134i | \(0.305545\pi\) | ||||
−0.573603 | + | 0.819134i | \(0.694455\pi\) | |||||||
\(44\) | −2.53570 | −0.382272 | ||||||||
\(45\) | −4.44008 | − | 4.87791i | −0.661887 | − | 0.727156i | ||||
\(46\) | −2.77262 | −0.408801 | ||||||||
\(47\) | 8.53037i | 1.24428i | 0.782905 | + | 0.622141i | \(0.213737\pi\) | ||||
−0.782905 | + | 0.622141i | \(0.786263\pi\) | |||||||
\(48\) | 0.393577i | 0.0568080i | ||||||||
\(49\) | 1.87588 | 0.267983 | ||||||||
\(50\) | −5.45159 | − | 0.513451i | −0.770971 | − | 0.0726130i | ||||
\(51\) | 0.994430 | 0.139248 | ||||||||
\(52\) | 0.0520330i | 0.00721567i | ||||||||
\(53\) | − | 0.0654906i | − | 0.00899583i | −0.999990 | − | 0.00449791i | \(-0.998568\pi\) | ||
0.999990 | − | 0.00449791i | \(-0.00143174\pi\) | |||||||
\(54\) | 1.45909 | 0.198558 | ||||||||
\(55\) | 4.76693 | + | 5.23699i | 0.642773 | + | 0.706156i | ||||
\(56\) | −6.94290 | −0.927784 | ||||||||
\(57\) | 1.75202i | 0.232061i | ||||||||
\(58\) | 7.15578i | 0.939600i | ||||||||
\(59\) | −11.9066 | −1.55011 | −0.775055 | − | 0.631894i | \(-0.782278\pi\) | ||||
−0.775055 | + | 0.631894i | \(0.782278\pi\) | |||||||
\(60\) | −0.296475 | + | 0.269864i | −0.0382748 | + | 0.0348393i | ||||
\(61\) | 7.88792 | 1.00995 | 0.504973 | − | 0.863135i | \(-0.331503\pi\) | ||||
0.504973 | + | 0.863135i | \(0.331503\pi\) | |||||||
\(62\) | 9.06186i | 1.15086i | ||||||||
\(63\) | 6.67745i | 0.841279i | ||||||||
\(64\) | −8.12514 | −1.01564 | ||||||||
\(65\) | 0.107464 | − | 0.0978179i | 0.0133292 | − | 0.0121328i | ||||
\(66\) | −0.776651 | −0.0955992 | ||||||||
\(67\) | − | 13.3617i | − | 1.63240i | −0.577771 | − | 0.816199i | \(-0.696077\pi\) | ||
0.577771 | − | 0.816199i | \(-0.303923\pi\) | |||||||
\(68\) | 3.55564i | 0.431184i | ||||||||
\(69\) | 0.566926 | 0.0682499 | ||||||||
\(70\) | 3.73138 | + | 4.09933i | 0.445986 | + | 0.489964i | ||||
\(71\) | −8.56086 | −1.01599 | −0.507994 | − | 0.861361i | \(-0.669613\pi\) | ||||
−0.507994 | + | 0.861361i | \(0.669613\pi\) | |||||||
\(72\) | 9.04758i | 1.06627i | ||||||||
\(73\) | 16.6336i | 1.94682i | 0.229068 | + | 0.973410i | \(0.426432\pi\) | ||||
−0.229068 | + | 0.973410i | \(0.573568\pi\) | |||||||
\(74\) | 3.00052 | 0.348803 | ||||||||
\(75\) | 1.11470 | + | 0.104987i | 0.128715 | + | 0.0121228i | ||||
\(76\) | −6.26444 | −0.718580 | ||||||||
\(77\) | − | 7.16900i | − | 0.816984i | ||||||
\(78\) | 0.0159370i | 0.00180451i | ||||||||
\(79\) | 0.725508 | 0.0816260 | 0.0408130 | − | 0.999167i | \(-0.487005\pi\) | ||||
0.0408130 | + | 0.999167i | \(0.487005\pi\) | |||||||
\(80\) | 2.64553 | + | 2.90641i | 0.295780 | + | 0.324946i | ||||
\(81\) | 8.55123 | 0.950136 | ||||||||
\(82\) | − | 8.23644i | − | 0.909562i | ||||||
\(83\) | 6.57206i | 0.721378i | 0.932686 | + | 0.360689i | \(0.117458\pi\) | ||||
−0.932686 | + | 0.360689i | \(0.882542\pi\) | |||||||
\(84\) | 0.405850 | 0.0442818 | ||||||||
\(85\) | 7.34346 | − | 6.68432i | 0.796510 | − | 0.725016i | ||||
\(86\) | −11.7649 | −1.26865 | ||||||||
\(87\) | − | 1.46316i | − | 0.156868i | ||||||
\(88\) | − | 9.71361i | − | 1.03547i | ||||||
\(89\) | 10.8164 | 1.14654 | 0.573269 | − | 0.819367i | \(-0.305675\pi\) | ||||
0.573269 | + | 0.819367i | \(0.305675\pi\) | |||||||
\(90\) | 5.34201 | − | 4.86252i | 0.563097 | − | 0.512554i | ||||
\(91\) | −0.147109 | −0.0154212 | ||||||||
\(92\) | 2.02707i | 0.211337i | ||||||||
\(93\) | − | 1.85290i | − | 0.192137i | ||||||
\(94\) | −9.34197 | −0.963551 | ||||||||
\(95\) | 11.7767 | + | 12.9380i | 1.20826 | + | 1.32741i | ||||
\(96\) | 0.942600 | 0.0962038 | ||||||||
\(97\) | − | 9.64642i | − | 0.979445i | −0.871878 | − | 0.489723i | \(-0.837098\pi\) | ||
0.871878 | − | 0.489723i | \(-0.162902\pi\) | |||||||
\(98\) | 2.05436i | 0.207521i | ||||||||
\(99\) | −9.34222 | −0.938928 | ||||||||
\(100\) | −0.375386 | + | 3.98567i | −0.0375386 | + | 0.398567i | ||||
\(101\) | −16.4798 | −1.63980 | −0.819902 | − | 0.572504i | \(-0.805972\pi\) | ||||
−0.819902 | + | 0.572504i | \(0.805972\pi\) | |||||||
\(102\) | 1.08904i | 0.107831i | ||||||||
\(103\) | − | 10.7964i | − | 1.06380i | −0.846808 | − | 0.531898i | \(-0.821479\pi\) | ||
0.846808 | − | 0.531898i | \(-0.178521\pi\) | |||||||
\(104\) | −0.199324 | −0.0195454 | ||||||||
\(105\) | −0.762966 | − | 0.838202i | −0.0744579 | − | 0.0818001i | ||||
\(106\) | 0.0717216 | 0.00696622 | ||||||||
\(107\) | 1.67365i | 0.161798i | 0.996722 | + | 0.0808988i | \(0.0257791\pi\) | ||||
−0.996722 | + | 0.0808988i | \(0.974221\pi\) | |||||||
\(108\) | − | 1.06675i | − | 0.102648i | ||||||
\(109\) | 16.9594 | 1.62442 | 0.812208 | − | 0.583368i | \(-0.198265\pi\) | ||||
0.812208 | + | 0.583368i | \(0.198265\pi\) | |||||||
\(110\) | −5.73525 | + | 5.22047i | −0.546835 | + | 0.497752i | ||||
\(111\) | −0.613525 | −0.0582332 | ||||||||
\(112\) | − | 3.97863i | − | 0.375945i | ||||||
\(113\) | 8.64948i | 0.813675i | 0.913501 | + | 0.406837i | \(0.133368\pi\) | ||||
−0.913501 | + | 0.406837i | \(0.866632\pi\) | |||||||
\(114\) | −1.91871 | −0.179704 | ||||||||
\(115\) | 4.18652 | − | 3.81074i | 0.390395 | − | 0.355354i | ||||
\(116\) | 5.23162 | 0.485743 | ||||||||
\(117\) | 0.191703i | 0.0177230i | ||||||||
\(118\) | − | 13.0394i | − | 1.20038i | ||||||
\(119\) | −10.0526 | −0.921518 | ||||||||
\(120\) | −1.03378 | − | 1.13572i | −0.0943706 | − | 0.103676i | ||||
\(121\) | −0.970060 | −0.0881872 | ||||||||
\(122\) | 8.63840i | 0.782084i | ||||||||
\(123\) | 1.68413i | 0.151853i | ||||||||
\(124\) | 6.62515 | 0.594956 | ||||||||
\(125\) | 8.93731 | − | 6.71747i | 0.799377 | − | 0.600829i | ||||
\(126\) | −7.31276 | −0.651472 | ||||||||
\(127\) | 6.06109i | 0.537835i | 0.963163 | + | 0.268918i | \(0.0866659\pi\) | ||||
−0.963163 | + | 0.268918i | \(0.913334\pi\) | |||||||
\(128\) | − | 0.479360i | − | 0.0423699i | ||||||
\(129\) | 2.40561 | 0.211802 | ||||||||
\(130\) | 0.107125 | + | 0.117688i | 0.00939545 | + | 0.0103219i | ||||
\(131\) | −6.54103 | −0.571493 | −0.285746 | − | 0.958305i | \(-0.592241\pi\) | ||||
−0.285746 | + | 0.958305i | \(0.592241\pi\) | |||||||
\(132\) | 0.567812i | 0.0494217i | ||||||||
\(133\) | − | 17.7110i | − | 1.53574i | ||||||
\(134\) | 14.6330 | 1.26410 | ||||||||
\(135\) | −2.20316 | + | 2.00541i | −0.189618 | + | 0.172598i | ||||
\(136\) | −13.6207 | −1.16797 | ||||||||
\(137\) | − | 8.14464i | − | 0.695844i | −0.937524 | − | 0.347922i | \(-0.886887\pi\) | ||
0.937524 | − | 0.347922i | \(-0.113113\pi\) | |||||||
\(138\) | 0.620865i | 0.0528515i | ||||||||
\(139\) | 6.38850 | 0.541865 | 0.270933 | − | 0.962598i | \(-0.412668\pi\) | ||||
0.270933 | + | 0.962598i | \(0.412668\pi\) | |||||||
\(140\) | 2.99704 | − | 2.72803i | 0.253296 | − | 0.230560i | ||||
\(141\) | 1.91018 | 0.160866 | ||||||||
\(142\) | − | 9.37537i | − | 0.786763i | ||||||
\(143\) | − | 0.205816i | − | 0.0172112i | ||||||
\(144\) | −5.18471 | −0.432059 | ||||||||
\(145\) | −9.83503 | − | 10.8049i | −0.816755 | − | 0.897295i | ||||
\(146\) | −18.2162 | −1.50758 | ||||||||
\(147\) | − | 0.420060i | − | 0.0346460i | ||||||
\(148\) | − | 2.19369i | − | 0.180320i | ||||||
\(149\) | −9.29157 | −0.761195 | −0.380598 | − | 0.924741i | \(-0.624282\pi\) | ||||
−0.380598 | + | 0.924741i | \(0.624282\pi\) | |||||||
\(150\) | −0.114976 | + | 1.22076i | −0.00938772 | + | 0.0996744i | ||||
\(151\) | −4.44437 | −0.361677 | −0.180839 | − | 0.983513i | \(-0.557881\pi\) | ||||
−0.180839 | + | 0.983513i | \(0.557881\pi\) | |||||||
\(152\) | − | 23.9974i | − | 1.94645i | ||||||
\(153\) | 13.0999i | 1.05907i | ||||||||
\(154\) | 7.85108 | 0.632658 | ||||||||
\(155\) | −12.4548 | − | 13.6829i | −1.00039 | − | 1.09904i | ||||
\(156\) | 0.0116516 | 0.000932873 | ||||||||
\(157\) | − | 0.260484i | − | 0.0207889i | −0.999946 | − | 0.0103944i | \(-0.996691\pi\) | ||
0.999946 | − | 0.0103944i | \(-0.00330871\pi\) | |||||||
\(158\) | 0.794534i | 0.0632098i | ||||||||
\(159\) | −0.0146651 | −0.00116302 | ||||||||
\(160\) | 6.96072 | − | 6.33594i | 0.550293 | − | 0.500900i | ||||
\(161\) | −5.73099 | −0.451666 | ||||||||
\(162\) | 9.36481i | 0.735769i | ||||||||
\(163\) | − | 5.42016i | − | 0.424539i | −0.977211 | − | 0.212270i | \(-0.931914\pi\) | ||
0.977211 | − | 0.212270i | \(-0.0680855\pi\) | |||||||
\(164\) | −6.02169 | −0.470215 | ||||||||
\(165\) | 1.17270 | − | 1.06744i | 0.0912948 | − | 0.0831004i | ||||
\(166\) | −7.19735 | −0.558623 | ||||||||
\(167\) | − | 22.0325i | − | 1.70492i | −0.522789 | − | 0.852462i | \(-0.675109\pi\) | ||
0.522789 | − | 0.852462i | \(-0.324891\pi\) | |||||||
\(168\) | 1.55470i | 0.119948i | ||||||||
\(169\) | 12.9958 | 0.999675 | ||||||||
\(170\) | 7.32029 | + | 8.04213i | 0.561440 | + | 0.616804i | ||||
\(171\) | −23.0799 | −1.76496 | ||||||||
\(172\) | 8.60139i | 0.655849i | ||||||||
\(173\) | − | 18.0964i | − | 1.37584i | −0.725785 | − | 0.687922i | \(-0.758523\pi\) | ||
0.725785 | − | 0.687922i | \(-0.241477\pi\) | |||||||
\(174\) | 1.60237 | 0.121476 | ||||||||
\(175\) | −11.2684 | − | 1.06130i | −0.851810 | − | 0.0802268i | ||||
\(176\) | 5.56638 | 0.419582 | ||||||||
\(177\) | 2.66621i | 0.200405i | ||||||||
\(178\) | 11.8455i | 0.887859i | ||||||||
\(179\) | 17.4131 | 1.30151 | 0.650757 | − | 0.759286i | \(-0.274452\pi\) | ||||
0.650757 | + | 0.759286i | \(0.274452\pi\) | |||||||
\(180\) | −3.55500 | − | 3.90556i | −0.264974 | − | 0.291103i | ||||
\(181\) | 6.69828 | 0.497879 | 0.248940 | − | 0.968519i | \(-0.419918\pi\) | ||||
0.248940 | + | 0.968519i | \(0.419918\pi\) | |||||||
\(182\) | − | 0.161105i | − | 0.0119419i | ||||||
\(183\) | − | 1.76632i | − | 0.130570i | ||||||
\(184\) | −7.76518 | −0.572457 | ||||||||
\(185\) | −4.53063 | + | 4.12397i | −0.333099 | + | 0.303200i | ||||
\(186\) | 2.02919 | 0.148788 | ||||||||
\(187\) | − | 14.0643i | − | 1.02848i | ||||||
\(188\) | 6.82995i | 0.498125i | ||||||||
\(189\) | 3.01594 | 0.219377 | ||||||||
\(190\) | −14.1689 | + | 12.8971i | −1.02792 | + | 0.935656i | ||||
\(191\) | 18.2205 | 1.31839 | 0.659196 | − | 0.751971i | \(-0.270897\pi\) | ||||
0.659196 | + | 0.751971i | \(0.270897\pi\) | |||||||
\(192\) | 1.81944i | 0.131307i | ||||||||
\(193\) | 5.88201i | 0.423396i | 0.977335 | + | 0.211698i | \(0.0678993\pi\) | ||||
−0.977335 | + | 0.211698i | \(0.932101\pi\) | |||||||
\(194\) | 10.5642 | 0.758466 | ||||||||
\(195\) | −0.0219041 | − | 0.0240640i | −0.00156858 | − | 0.00172326i | ||||
\(196\) | 1.50195 | 0.107282 | ||||||||
\(197\) | 18.3999i | 1.31094i | 0.755223 | + | 0.655468i | \(0.227528\pi\) | ||||
−0.755223 | + | 0.655468i | \(0.772472\pi\) | |||||||
\(198\) | − | 10.2311i | − | 0.727090i | ||||||
\(199\) | −11.8695 | −0.841404 | −0.420702 | − | 0.907199i | \(-0.638216\pi\) | ||||
−0.420702 | + | 0.907199i | \(0.638216\pi\) | |||||||
\(200\) | −15.2681 | − | 1.43800i | −1.07961 | − | 0.101682i | ||||
\(201\) | −2.99206 | −0.211043 | ||||||||
\(202\) | − | 18.0478i | − | 1.26984i | ||||||
\(203\) | 14.7909i | 1.03812i | ||||||||
\(204\) | 0.796203 | 0.0557453 | ||||||||
\(205\) | 11.3203 | + | 12.4366i | 0.790644 | + | 0.868609i | ||||
\(206\) | 11.8235 | 0.823786 | ||||||||
\(207\) | 7.46829i | 0.519082i | ||||||||
\(208\) | − | 0.114223i | − | 0.00791992i | ||||||
\(209\) | 24.7789 | 1.71399 | ||||||||
\(210\) | 0.917951 | − | 0.835557i | 0.0633446 | − | 0.0576589i | ||||
\(211\) | 17.3377 | 1.19358 | 0.596788 | − | 0.802399i | \(-0.296443\pi\) | ||||
0.596788 | + | 0.802399i | \(0.296443\pi\) | |||||||
\(212\) | − | 0.0524359i | − | 0.00360131i | ||||||
\(213\) | 1.91701i | 0.131351i | ||||||||
\(214\) | −1.83288 | −0.125293 | ||||||||
\(215\) | 17.7644 | − | 16.1699i | 1.21153 | − | 1.10278i | ||||
\(216\) | 4.08643 | 0.278046 | ||||||||
\(217\) | 18.7308i | 1.27153i | ||||||||
\(218\) | 18.5730i | 1.25792i | ||||||||
\(219\) | 3.72472 | 0.251693 | ||||||||
\(220\) | 3.81670 | + | 4.19306i | 0.257322 | + | 0.282696i | ||||
\(221\) | −0.288600 | −0.0194134 | ||||||||
\(222\) | − | 0.671897i | − | 0.0450948i | ||||||
\(223\) | 0.685671i | 0.0459159i | 0.999736 | + | 0.0229580i | \(0.00730838\pi\) | ||||
−0.999736 | + | 0.0229580i | \(0.992692\pi\) | |||||||
\(224\) | −9.52864 | −0.636659 | ||||||||
\(225\) | −1.38302 | + | 14.6843i | −0.0922016 | + | 0.978953i | ||||
\(226\) | −9.47242 | −0.630096 | ||||||||
\(227\) | − | 23.7034i | − | 1.57325i | −0.617429 | − | 0.786626i | \(-0.711826\pi\) | ||
0.617429 | − | 0.786626i | \(-0.288174\pi\) | |||||||
\(228\) | 1.40278i | 0.0929011i | ||||||||
\(229\) | 18.1670 | 1.20051 | 0.600254 | − | 0.799810i | \(-0.295066\pi\) | ||||
0.600254 | + | 0.799810i | \(0.295066\pi\) | |||||||
\(230\) | 4.17331 | + | 4.58484i | 0.275180 | + | 0.302315i | ||||
\(231\) | −1.60533 | −0.105623 | ||||||||
\(232\) | 20.0409i | 1.31575i | ||||||||
\(233\) | 1.69882i | 0.111293i | 0.998451 | + | 0.0556466i | \(0.0177220\pi\) | ||||
−0.998451 | + | 0.0556466i | \(0.982278\pi\) | |||||||
\(234\) | −0.209943 | −0.0137244 | ||||||||
\(235\) | 14.1059 | − | 12.8398i | 0.920167 | − | 0.837574i | ||||
\(236\) | −9.53318 | −0.620557 | ||||||||
\(237\) | − | 0.162461i | − | 0.0105530i | ||||||
\(238\) | − | 11.0090i | − | 0.713608i | ||||||
\(239\) | −4.67855 | −0.302631 | −0.151315 | − | 0.988486i | \(-0.548351\pi\) | ||||
−0.151315 | + | 0.988486i | \(0.548351\pi\) | |||||||
\(240\) | 0.650823 | − | 0.592406i | 0.0420104 | − | 0.0382396i | ||||
\(241\) | 1.00000 | 0.0644157 | ||||||||
\(242\) | − | 1.06235i | − | 0.0682907i | ||||||
\(243\) | − | 5.91185i | − | 0.379245i | ||||||
\(244\) | 6.31556 | 0.404313 | ||||||||
\(245\) | −2.82355 | − | 3.10197i | −0.180390 | − | 0.198178i | ||||
\(246\) | −1.84436 | −0.117592 | ||||||||
\(247\) | − | 0.508466i | − | 0.0323529i | ||||||
\(248\) | 25.3792i | 1.61158i | ||||||||
\(249\) | 1.47166 | 0.0932628 | ||||||||
\(250\) | 7.35659 | + | 9.78763i | 0.465272 | + | 0.619024i | ||||
\(251\) | −6.44769 | −0.406974 | −0.203487 | − | 0.979078i | \(-0.565228\pi\) | ||||
−0.203487 | + | 0.979078i | \(0.565228\pi\) | |||||||
\(252\) | 5.34638i | 0.336790i | ||||||||
\(253\) | − | 8.01806i | − | 0.504091i | ||||||
\(254\) | −6.63776 | −0.416490 | ||||||||
\(255\) | −1.49680 | − | 1.64440i | −0.0937332 | − | 0.102976i | ||||
\(256\) | −15.7253 | −0.982831 | ||||||||
\(257\) | − | 15.0125i | − | 0.936452i | −0.883609 | − | 0.468226i | \(-0.844893\pi\) | ||
0.883609 | − | 0.468226i | \(-0.155107\pi\) | |||||||
\(258\) | 2.63449i | 0.164016i | ||||||||
\(259\) | 6.20205 | 0.385377 | ||||||||
\(260\) | 0.0860422 | − | 0.0783192i | 0.00533611 | − | 0.00485715i | ||||
\(261\) | 19.2747 | 1.19307 | ||||||||
\(262\) | − | 7.16336i | − | 0.442554i | ||||||
\(263\) | − | 11.1566i | − | 0.687945i | −0.938980 | − | 0.343973i | \(-0.888227\pi\) | ||
0.938980 | − | 0.343973i | \(-0.111773\pi\) | |||||||
\(264\) | −2.17514 | −0.133871 | ||||||||
\(265\) | −0.108296 | + | 0.0985754i | −0.00665256 | + | 0.00605544i | ||||
\(266\) | 19.3960 | 1.18925 | ||||||||
\(267\) | − | 2.42209i | − | 0.148229i | ||||||
\(268\) | − | 10.6983i | − | 0.653500i | ||||||
\(269\) | 13.5075 | 0.823569 | 0.411785 | − | 0.911281i | \(-0.364906\pi\) | ||||
0.411785 | + | 0.911281i | \(0.364906\pi\) | |||||||
\(270\) | −2.19621 | − | 2.41277i | −0.133657 | − | 0.146837i | ||||
\(271\) | 13.0987 | 0.795687 | 0.397844 | − | 0.917453i | \(-0.369759\pi\) | ||||
0.397844 | + | 0.917453i | \(0.369759\pi\) | |||||||
\(272\) | − | 7.80533i | − | 0.473268i | ||||||
\(273\) | 0.0329416i | 0.00199372i | ||||||||
\(274\) | 8.91954 | 0.538849 | ||||||||
\(275\) | 1.48483 | − | 15.7653i | 0.0895388 | − | 0.950682i | ||||
\(276\) | 0.453917 | 0.0273226 | ||||||||
\(277\) | 14.4487i | 0.868135i | 0.900880 | + | 0.434068i | \(0.142922\pi\) | ||||
−0.900880 | + | 0.434068i | \(0.857078\pi\) | |||||||
\(278\) | 6.99631i | 0.419611i | ||||||||
\(279\) | 24.4089 | 1.46132 | ||||||||
\(280\) | 10.4503 | + | 11.4808i | 0.624528 | + | 0.686112i | ||||
\(281\) | 1.77667 | 0.105988 | 0.0529938 | − | 0.998595i | \(-0.483124\pi\) | ||||
0.0529938 | + | 0.998595i | \(0.483124\pi\) | |||||||
\(282\) | 2.09192i | 0.124572i | ||||||||
\(283\) | − | 18.4509i | − | 1.09679i | −0.836218 | − | 0.548397i | \(-0.815238\pi\) | ||
0.836218 | − | 0.548397i | \(-0.184762\pi\) | |||||||
\(284\) | −6.85436 | −0.406732 | ||||||||
\(285\) | 2.89716 | − | 2.63711i | 0.171613 | − | 0.156209i | ||||
\(286\) | 0.225397 | 0.0133280 | ||||||||
\(287\) | − | 17.0247i | − | 1.00493i | ||||||
\(288\) | 12.4172i | 0.731688i | ||||||||
\(289\) | −2.72130 | −0.160077 | ||||||||
\(290\) | 11.8329 | − | 10.7708i | 0.694850 | − | 0.632481i | ||||
\(291\) | −2.16009 | −0.126627 | ||||||||
\(292\) | 13.3179i | 0.779373i | ||||||||
\(293\) | 8.65394i | 0.505569i | 0.967523 | + | 0.252784i | \(0.0813463\pi\) | ||||
−0.967523 | + | 0.252784i | \(0.918654\pi\) | |||||||
\(294\) | 0.460026 | 0.0268293 | ||||||||
\(295\) | 17.9216 | + | 19.6889i | 1.04344 | + | 1.14633i | ||||
\(296\) | 8.40345 | 0.488440 | ||||||||
\(297\) | 4.21951i | 0.244841i | ||||||||
\(298\) | − | 10.1756i | − | 0.589456i | ||||||
\(299\) | −0.164532 | −0.00951511 | ||||||||
\(300\) | 0.892500 | + | 0.0840590i | 0.0515285 | + | 0.00485315i | ||||
\(301\) | −24.3180 | −1.40167 | ||||||||
\(302\) | − | 4.86722i | − | 0.280077i | ||||||
\(303\) | 3.69028i | 0.212001i | ||||||||
\(304\) | 13.7517 | 0.788714 | ||||||||
\(305\) | −11.8728 | − | 13.0435i | −0.679833 | − | 0.746871i | ||||
\(306\) | −14.3463 | −0.820123 | ||||||||
\(307\) | − | 6.61143i | − | 0.377334i | −0.982041 | − | 0.188667i | \(-0.939583\pi\) | ||
0.982041 | − | 0.188667i | \(-0.0604167\pi\) | |||||||
\(308\) | − | 5.73995i | − | 0.327064i | ||||||
\(309\) | −2.41759 | −0.137532 | ||||||||
\(310\) | 14.9848 | − | 13.6398i | 0.851078 | − | 0.774686i | ||||
\(311\) | −19.4206 | −1.10124 | −0.550622 | − | 0.834755i | \(-0.685609\pi\) | ||||
−0.550622 | + | 0.834755i | \(0.685609\pi\) | |||||||
\(312\) | 0.0446341i | 0.00252691i | ||||||||
\(313\) | − | 19.4518i | − | 1.09948i | −0.835336 | − | 0.549740i | \(-0.814727\pi\) | ||
0.835336 | − | 0.549740i | \(-0.185273\pi\) | |||||||
\(314\) | 0.285267 | 0.0160986 | ||||||||
\(315\) | 11.0419 | − | 10.0508i | 0.622140 | − | 0.566298i | ||||
\(316\) | 0.580887 | 0.0326774 | ||||||||
\(317\) | 0.792618i | 0.0445179i | 0.999752 | + | 0.0222589i | \(0.00708583\pi\) | ||||
−0.999752 | + | 0.0222589i | \(0.992914\pi\) | |||||||
\(318\) | − | 0.0160604i | − | 0.000900622i | ||||||
\(319\) | −20.6936 | −1.15862 | ||||||||
\(320\) | 12.2298 | + | 13.4358i | 0.683668 | + | 0.751084i | ||||
\(321\) | 0.374775 | 0.0209179 | ||||||||
\(322\) | − | 6.27626i | − | 0.349762i | ||||||
\(323\) | − | 34.7457i | − | 1.93330i | ||||||
\(324\) | 6.84664 | 0.380369 | ||||||||
\(325\) | −0.323505 | − | 0.0304690i | −0.0179448 | − | 0.00169011i | ||||
\(326\) | 5.93584 | 0.328756 | ||||||||
\(327\) | − | 3.79767i | − | 0.210011i | ||||||
\(328\) | − | 23.0675i | − | 1.27369i | ||||||
\(329\) | −19.3098 | −1.06458 | ||||||||
\(330\) | 1.16900 | + | 1.28428i | 0.0643515 | + | 0.0706972i | ||||
\(331\) | 14.6988 | 0.807917 | 0.403958 | − | 0.914777i | \(-0.367634\pi\) | ||||
0.403958 | + | 0.914777i | \(0.367634\pi\) | |||||||
\(332\) | 5.26201i | 0.288790i | ||||||||
\(333\) | − | 8.08215i | − | 0.442899i | ||||||
\(334\) | 24.1287 | 1.32026 | ||||||||
\(335\) | −22.0951 | + | 20.1119i | −1.20718 | + | 1.09883i | ||||
\(336\) | −0.890922 | −0.0486038 | ||||||||
\(337\) | − | 17.3385i | − | 0.944487i | −0.881468 | − | 0.472244i | \(-0.843444\pi\) | ||
0.881468 | − | 0.472244i | \(-0.156556\pi\) | |||||||
\(338\) | 14.2322i | 0.774131i | ||||||||
\(339\) | 1.93685 | 0.105195 | ||||||||
\(340\) | 5.87963 | − | 5.35189i | 0.318868 | − | 0.290247i | ||||
\(341\) | −26.2057 | −1.41912 | ||||||||
\(342\) | − | 25.2758i | − | 1.36676i | ||||||
\(343\) | 20.0919i | 1.08486i | ||||||||
\(344\) | −32.9496 | −1.77652 | ||||||||
\(345\) | −0.853328 | − | 0.937474i | −0.0459416 | − | 0.0504719i | ||||
\(346\) | 19.8181 | 1.06543 | ||||||||
\(347\) | 13.9745i | 0.750188i | 0.926987 | + | 0.375094i | \(0.122390\pi\) | ||||
−0.926987 | + | 0.375094i | \(0.877610\pi\) | |||||||
\(348\) | − | 1.17150i | − | 0.0627990i | ||||||
\(349\) | −18.2257 | −0.975600 | −0.487800 | − | 0.872955i | \(-0.662200\pi\) | ||||
−0.487800 | + | 0.872955i | \(0.662200\pi\) | |||||||
\(350\) | 1.16228 | − | 12.3405i | 0.0621262 | − | 0.659627i | ||||
\(351\) | 0.0865848 | 0.00462156 | ||||||||
\(352\) | − | 13.3312i | − | 0.710557i | ||||||
\(353\) | 25.1550i | 1.33886i | 0.742873 | + | 0.669432i | \(0.233463\pi\) | ||||
−0.742873 | + | 0.669432i | \(0.766537\pi\) | |||||||
\(354\) | −2.91988 | −0.155190 | ||||||||
\(355\) | 12.8857 | + | 14.1563i | 0.683900 | + | 0.751339i | ||||
\(356\) | 8.66030 | 0.458995 | ||||||||
\(357\) | 2.25104i | 0.119138i | ||||||||
\(358\) | 19.0698i | 1.00787i | ||||||||
\(359\) | 6.05193 | 0.319409 | 0.159704 | − | 0.987165i | \(-0.448946\pi\) | ||||
0.159704 | + | 0.987165i | \(0.448946\pi\) | |||||||
\(360\) | 14.9612 | − | 13.6183i | 0.788522 | − | 0.717746i | ||||
\(361\) | 42.2161 | 2.22190 | ||||||||
\(362\) | 7.33558i | 0.385549i | ||||||||
\(363\) | 0.217222i | 0.0114012i | ||||||||
\(364\) | −0.117784 | −0.00617359 | ||||||||
\(365\) | 27.5055 | − | 25.0367i | 1.43971 | − | 1.31048i | ||||
\(366\) | 1.93437 | 0.101111 | ||||||||
\(367\) | 31.3055i | 1.63413i | 0.576543 | + | 0.817067i | \(0.304401\pi\) | ||||
−0.576543 | + | 0.817067i | \(0.695599\pi\) | |||||||
\(368\) | − | 4.44984i | − | 0.231964i | ||||||
\(369\) | −22.1855 | −1.15493 | ||||||||
\(370\) | −4.51633 | − | 4.96169i | −0.234793 | − | 0.257946i | ||||
\(371\) | 0.148248 | 0.00769665 | ||||||||
\(372\) | − | 1.48355i | − | 0.0769185i | ||||||
\(373\) | − | 17.5060i | − | 0.906424i | −0.891403 | − | 0.453212i | \(-0.850278\pi\) | ||
0.891403 | − | 0.453212i | \(-0.149722\pi\) | |||||||
\(374\) | 15.4024 | 0.796438 | ||||||||
\(375\) | −1.50422 | − | 2.00130i | −0.0776777 | − | 0.103347i | ||||
\(376\) | −26.1637 | −1.34929 | ||||||||
\(377\) | 0.424635i | 0.0218698i | ||||||||
\(378\) | 3.30288i | 0.169882i | ||||||||
\(379\) | −0.569958 | −0.0292768 | −0.0146384 | − | 0.999893i | \(-0.504660\pi\) | ||||
−0.0146384 | + | 0.999893i | \(0.504660\pi\) | |||||||
\(380\) | 9.42913 | + | 10.3589i | 0.483704 | + | 0.531402i | ||||
\(381\) | 1.35724 | 0.0695336 | ||||||||
\(382\) | 19.9541i | 1.02094i | ||||||||
\(383\) | − | 24.0263i | − | 1.22769i | −0.789428 | − | 0.613843i | \(-0.789623\pi\) | ||
0.789428 | − | 0.613843i | \(-0.210377\pi\) | |||||||
\(384\) | −0.107342 | −0.00547776 | ||||||||
\(385\) | −11.8547 | + | 10.7907i | −0.604173 | + | 0.549943i | ||||
\(386\) | −6.44164 | −0.327871 | ||||||||
\(387\) | 31.6898i | 1.61088i | ||||||||
\(388\) | − | 7.72353i | − | 0.392103i | ||||||
\(389\) | 13.5820 | 0.688633 | 0.344317 | − | 0.938854i | \(-0.388111\pi\) | ||||
0.344317 | + | 0.938854i | \(0.388111\pi\) | |||||||
\(390\) | 0.0263535 | − | 0.0239881i | 0.00133446 | − | 0.00121468i | ||||
\(391\) | −11.2432 | −0.568591 | ||||||||
\(392\) | 5.75356i | 0.290599i | ||||||||
\(393\) | 1.46471i | 0.0738850i | ||||||||
\(394\) | −20.1505 | −1.01517 | ||||||||
\(395\) | −1.09202 | − | 1.19971i | −0.0549456 | − | 0.0603638i | ||||
\(396\) | −7.47997 | −0.375882 | ||||||||
\(397\) | 9.52930i | 0.478262i | 0.970987 | + | 0.239131i | \(0.0768625\pi\) | ||||
−0.970987 | + | 0.239131i | \(0.923137\pi\) | |||||||
\(398\) | − | 12.9988i | − | 0.651569i | ||||||
\(399\) | −3.96596 | −0.198546 | ||||||||
\(400\) | 0.824048 | − | 8.74935i | 0.0412024 | − | 0.437468i | ||||
\(401\) | 9.98608 | 0.498681 | 0.249341 | − | 0.968416i | \(-0.419786\pi\) | ||||
0.249341 | + | 0.968416i | \(0.419786\pi\) | |||||||
\(402\) | − | 3.27673i | − | 0.163428i | ||||||
\(403\) | 0.537744i | 0.0267869i | ||||||||
\(404\) | −13.1948 | −0.656465 | ||||||||
\(405\) | −12.8712 | − | 14.1404i | −0.639573 | − | 0.702641i | ||||
\(406\) | −16.1982 | −0.803903 | ||||||||
\(407\) | 8.67711i | 0.430108i | ||||||||
\(408\) | 3.05004i | 0.150999i | ||||||||
\(409\) | 1.85693 | 0.0918193 | 0.0459097 | − | 0.998946i | \(-0.485381\pi\) | ||||
0.0459097 | + | 0.998946i | \(0.485381\pi\) | |||||||
\(410\) | −13.6198 | + | 12.3974i | −0.672636 | + | 0.612261i | ||||
\(411\) | −1.82380 | −0.0899616 | ||||||||
\(412\) | − | 8.64424i | − | 0.425871i | ||||||
\(413\) | − | 26.9524i | − | 1.32624i | ||||||
\(414\) | −8.17884 | −0.401968 | ||||||||
\(415\) | 10.8676 | − | 9.89216i | 0.533471 | − | 0.485587i | ||||
\(416\) | −0.273559 | −0.0134123 | ||||||||
\(417\) | − | 1.43056i | − | 0.0700546i | ||||||
\(418\) | 27.1364i | 1.32729i | ||||||||
\(419\) | 9.53574 | 0.465851 | 0.232926 | − | 0.972495i | \(-0.425170\pi\) | ||||
0.232926 | + | 0.972495i | \(0.425170\pi\) | |||||||
\(420\) | −0.610879 | − | 0.671117i | −0.0298078 | − | 0.0327471i | ||||
\(421\) | −21.1822 | −1.03235 | −0.516177 | − | 0.856482i | \(-0.672645\pi\) | ||||
−0.516177 | + | 0.856482i | \(0.672645\pi\) | |||||||
\(422\) | 18.9872i | 0.924284i | ||||||||
\(423\) | 25.1634i | 1.22348i | ||||||||
\(424\) | 0.200868 | 0.00975501 | ||||||||
\(425\) | −22.1065 | − | 2.08208i | −1.07232 | − | 0.100995i | ||||
\(426\) | −2.09940 | −0.101716 | ||||||||
\(427\) | 17.8555i | 0.864089i | ||||||||
\(428\) | 1.34003i | 0.0647726i | ||||||||
\(429\) | −0.0460876 | −0.00222513 | ||||||||
\(430\) | 17.7084 | + | 19.4546i | 0.853975 | + | 0.938184i | ||||
\(431\) | −35.7158 | −1.72037 | −0.860186 | − | 0.509981i | \(-0.829652\pi\) | ||||
−0.860186 | + | 0.509981i | \(0.829652\pi\) | |||||||
\(432\) | 2.34173i | 0.112666i | ||||||||
\(433\) | − | 11.8322i | − | 0.568618i | −0.958733 | − | 0.284309i | \(-0.908236\pi\) | ||
0.958733 | − | 0.284309i | \(-0.0917642\pi\) | |||||||
\(434\) | −20.5129 | −0.984650 | ||||||||
\(435\) | −2.41950 | + | 2.20233i | −0.116006 | + | 0.105594i | ||||
\(436\) | 13.5788 | 0.650305 | ||||||||
\(437\) | − | 19.8086i | − | 0.947572i | ||||||
\(438\) | 4.07910i | 0.194907i | ||||||||
\(439\) | −2.11764 | −0.101069 | −0.0505347 | − | 0.998722i | \(-0.516093\pi\) | ||||
−0.0505347 | + | 0.998722i | \(0.516093\pi\) | |||||||
\(440\) | −16.0625 | + | 14.6208i | −0.765750 | + | 0.697018i | ||||
\(441\) | 5.53358 | 0.263504 | ||||||||
\(442\) | − | 0.316059i | − | 0.0150334i | ||||||
\(443\) | − | 26.8075i | − | 1.27366i | −0.771002 | − | 0.636832i | \(-0.780244\pi\) | ||
0.771002 | − | 0.636832i | \(-0.219756\pi\) | |||||||
\(444\) | −0.491226 | −0.0233126 | ||||||||
\(445\) | −16.2807 | − | 17.8861i | −0.771779 | − | 0.847883i | ||||
\(446\) | −0.750907 | −0.0355565 | ||||||||
\(447\) | 2.08063i | 0.0984106i | ||||||||
\(448\) | − | 18.3925i | − | 0.868963i | ||||||
\(449\) | 35.6307 | 1.68152 | 0.840759 | − | 0.541409i | \(-0.182109\pi\) | ||||
0.840759 | + | 0.541409i | \(0.182109\pi\) | |||||||
\(450\) | −16.0814 | − | 1.51461i | −0.758085 | − | 0.0713993i | ||||
\(451\) | 23.8187 | 1.12158 | ||||||||
\(452\) | 6.92532i | 0.325739i | ||||||||
\(453\) | 0.995213i | 0.0467592i | ||||||||
\(454\) | 25.9587 | 1.21830 | ||||||||
\(455\) | 0.221426 | + | 0.243260i | 0.0103806 | + | 0.0114042i | ||||
\(456\) | −5.37366 | −0.251645 | ||||||||
\(457\) | − | 4.37323i | − | 0.204571i | −0.994755 | − | 0.102286i | \(-0.967384\pi\) | ||
0.994755 | − | 0.102286i | \(-0.0326156\pi\) | |||||||
\(458\) | 19.8954i | 0.929652i | ||||||||
\(459\) | 5.91671 | 0.276169 | ||||||||
\(460\) | 3.35199 | − | 3.05112i | 0.156287 | − | 0.142259i | ||||
\(461\) | 2.32865 | 0.108456 | 0.0542281 | − | 0.998529i | \(-0.482730\pi\) | ||||
0.0542281 | + | 0.998529i | \(0.482730\pi\) | |||||||
\(462\) | − | 1.75807i | − | 0.0817927i | ||||||
\(463\) | 24.3683i | 1.13249i | 0.824236 | + | 0.566246i | \(0.191605\pi\) | ||||
−0.824236 | + | 0.566246i | \(0.808395\pi\) | |||||||
\(464\) | −11.4844 | −0.533152 | ||||||||
\(465\) | −3.06398 | + | 2.78896i | −0.142089 | + | 0.129335i | ||||
\(466\) | −1.86045 | −0.0861835 | ||||||||
\(467\) | 42.0547i | 1.94606i | 0.230678 | + | 0.973030i | \(0.425906\pi\) | ||||
−0.230678 | + | 0.973030i | \(0.574094\pi\) | |||||||
\(468\) | 0.153490i | 0.00709507i | ||||||||
\(469\) | 30.2463 | 1.39665 | ||||||||
\(470\) | 14.0614 | + | 15.4480i | 0.648603 | + | 0.712562i | ||||
\(471\) | −0.0583294 | −0.00268768 | ||||||||
\(472\) | − | 36.5191i | − | 1.68093i | ||||||
\(473\) | − | 34.0226i | − | 1.56436i | ||||||
\(474\) | 0.177918 | 0.00817203 | ||||||||
\(475\) | 3.66827 | − | 38.9480i | 0.168312 | − | 1.78706i | ||||
\(476\) | −8.04872 | −0.368913 | ||||||||
\(477\) | − | 0.193188i | − | 0.00884547i | ||||||
\(478\) | − | 5.12369i | − | 0.234352i | ||||||
\(479\) | 30.3166 | 1.38520 | 0.692600 | − | 0.721322i | \(-0.256465\pi\) | ||||
0.692600 | + | 0.721322i | \(0.256465\pi\) | |||||||
\(480\) | −1.41879 | − | 1.55869i | −0.0647585 | − | 0.0711442i | ||||
\(481\) | 0.178055 | 0.00811862 | ||||||||
\(482\) | 1.09514i | 0.0498824i | ||||||||
\(483\) | 1.28332i | 0.0583932i | ||||||||
\(484\) | −0.776690 | −0.0353041 | ||||||||
\(485\) | −15.9514 | + | 14.5196i | −0.724316 | + | 0.659303i | ||||
\(486\) | 6.47432 | 0.293681 | ||||||||
\(487\) | 16.4118i | 0.743692i | 0.928295 | + | 0.371846i | \(0.121275\pi\) | ||||
−0.928295 | + | 0.371846i | \(0.878725\pi\) | |||||||
\(488\) | 24.1932i | 1.09518i | ||||||||
\(489\) | −1.21372 | −0.0548863 | ||||||||
\(490\) | 3.39710 | − | 3.09218i | 0.153465 | − | 0.139691i | ||||
\(491\) | −0.561056 | −0.0253201 | −0.0126600 | − | 0.999920i | \(-0.504030\pi\) | ||||
−0.0126600 | + | 0.999920i | \(0.504030\pi\) | |||||||
\(492\) | 1.34842i | 0.0607914i | ||||||||
\(493\) | 29.0171i | 1.30686i | ||||||||
\(494\) | 0.556843 | 0.0250535 | ||||||||
\(495\) | 14.0618 | + | 15.4484i | 0.632029 | + | 0.694353i | ||||
\(496\) | −14.5435 | −0.653024 | ||||||||
\(497\) | − | 19.3788i | − | 0.869258i | ||||||
\(498\) | 1.61168i | 0.0722211i | ||||||||
\(499\) | 39.1100 | 1.75080 | 0.875401 | − | 0.483397i | \(-0.160597\pi\) | ||||
0.875401 | + | 0.483397i | \(0.160597\pi\) | |||||||
\(500\) | 7.15577 | − | 5.37843i | 0.320016 | − | 0.240531i | ||||
\(501\) | −4.93366 | −0.220420 | ||||||||
\(502\) | − | 7.06114i | − | 0.315154i | ||||||
\(503\) | 36.7064i | 1.63666i | 0.574750 | + | 0.818329i | \(0.305099\pi\) | ||||
−0.574750 | + | 0.818329i | \(0.694901\pi\) | |||||||
\(504\) | −20.4806 | −0.912277 | ||||||||
\(505\) | 24.8052 | + | 27.2512i | 1.10382 | + | 1.21266i | ||||
\(506\) | 8.78092 | 0.390360 | ||||||||
\(507\) | − | 2.91010i | − | 0.129242i | ||||||
\(508\) | 4.85289i | 0.215312i | ||||||||
\(509\) | 20.8479 | 0.924065 | 0.462033 | − | 0.886863i | \(-0.347120\pi\) | ||||
0.462033 | + | 0.886863i | \(0.347120\pi\) | |||||||
\(510\) | 1.80085 | − | 1.63921i | 0.0797430 | − | 0.0725854i | ||||
\(511\) | −37.6528 | −1.66566 | ||||||||
\(512\) | − | 18.1802i | − | 0.803458i | ||||||
\(513\) | 10.4243i | 0.460243i | ||||||||
\(514\) | 16.4408 | 0.725172 | ||||||||
\(515\) | −17.8529 | + | 16.2505i | −0.786695 | + | 0.716082i | ||||
\(516\) | 1.92608 | 0.0847910 | ||||||||
\(517\) | − | 27.0158i | − | 1.18815i | ||||||
\(518\) | 6.79213i | 0.298429i | ||||||||
\(519\) | −4.05227 | −0.177875 | ||||||||
\(520\) | 0.300020 | + | 0.329605i | 0.0131567 | + | 0.0144541i | ||||
\(521\) | −23.2776 | −1.01981 | −0.509904 | − | 0.860231i | \(-0.670319\pi\) | ||||
−0.509904 | + | 0.860231i | \(0.670319\pi\) | |||||||
\(522\) | 21.1085i | 0.923895i | ||||||||
\(523\) | − | 16.3641i | − | 0.715552i | −0.933807 | − | 0.357776i | \(-0.883535\pi\) | ||
0.933807 | − | 0.357776i | \(-0.116465\pi\) | |||||||
\(524\) | −5.23716 | −0.228786 | ||||||||
\(525\) | −0.237654 | + | 2.52330i | −0.0103721 | + | 0.110126i | ||||
\(526\) | 12.2181 | 0.532733 | ||||||||
\(527\) | 36.7464i | 1.60070i | ||||||||
\(528\) | − | 1.24646i | − | 0.0542453i | ||||||
\(529\) | 16.5903 | 0.721316 | ||||||||
\(530\) | −0.107954 | − | 0.118599i | −0.00468923 | − | 0.00515163i | ||||
\(531\) | −35.1228 | −1.52420 | ||||||||
\(532\) | − | 14.1805i | − | 0.614803i | ||||||
\(533\) | − | 0.488762i | − | 0.0211706i | ||||||
\(534\) | 2.65253 | 0.114786 | ||||||||
\(535\) | 2.76756 | − | 2.51915i | 0.119652 | − | 0.108912i | ||||
\(536\) | 40.9822 | 1.77016 | ||||||||
\(537\) | − | 3.89926i | − | 0.168265i | ||||||
\(538\) | 14.7927i | 0.637758i | ||||||||
\(539\) | −5.94093 | −0.255894 | ||||||||
\(540\) | −1.76399 | + | 1.60565i | −0.0759099 | + | 0.0690963i | ||||
\(541\) | −23.0819 | −0.992369 | −0.496184 | − | 0.868217i | \(-0.665266\pi\) | ||||
−0.496184 | + | 0.868217i | \(0.665266\pi\) | |||||||
\(542\) | 14.3449i | 0.616166i | ||||||||
\(543\) | − | 1.49993i | − | 0.0643680i | ||||||
\(544\) | −18.6934 | −0.801475 | ||||||||
\(545\) | −25.5270 | − | 28.0442i | −1.09346 | − | 1.20128i | ||||
\(546\) | −0.0360758 | −0.00154390 | ||||||||
\(547\) | 17.3551i | 0.742049i | 0.928623 | + | 0.371024i | \(0.120993\pi\) | ||||
−0.928623 | + | 0.371024i | \(0.879007\pi\) | |||||||
\(548\) | − | 6.52111i | − | 0.278568i | ||||||
\(549\) | 23.2682 | 0.993064 | ||||||||
\(550\) | 17.2652 | + | 1.62610i | 0.736192 | + | 0.0693373i | ||||
\(551\) | −51.1233 | −2.17793 | ||||||||
\(552\) | 1.73883i | 0.0740097i | ||||||||
\(553\) | 1.64230i | 0.0698376i | ||||||||
\(554\) | −15.8233 | −0.672269 | ||||||||
\(555\) | 0.923468 | + | 1.01453i | 0.0391990 | + | 0.0430644i | ||||
\(556\) | 5.11503 | 0.216926 | ||||||||
\(557\) | − | 6.28655i | − | 0.266370i | −0.991091 | − | 0.133185i | \(-0.957480\pi\) | ||
0.991091 | − | 0.133185i | \(-0.0425204\pi\) | |||||||
\(558\) | 26.7312i | 1.13162i | ||||||||
\(559\) | −0.698149 | −0.0295285 | ||||||||
\(560\) | −6.57909 | + | 5.98857i | −0.278017 | + | 0.253063i | ||||
\(561\) | −3.14937 | −0.132966 | ||||||||
\(562\) | 1.94571i | 0.0820749i | ||||||||
\(563\) | − | 6.26725i | − | 0.264133i | −0.991241 | − | 0.132067i | \(-0.957839\pi\) | ||
0.991241 | − | 0.132067i | \(-0.0421613\pi\) | |||||||
\(564\) | 1.52941 | 0.0643997 | ||||||||
\(565\) | 14.3029 | − | 13.0191i | 0.601726 | − | 0.547716i | ||||
\(566\) | 20.2064 | 0.849338 | ||||||||
\(567\) | 19.3570i | 0.812917i | ||||||||
\(568\) | − | 26.2572i | − | 1.10173i | ||||||
\(569\) | −21.6171 | −0.906234 | −0.453117 | − | 0.891451i | \(-0.649688\pi\) | ||||
−0.453117 | + | 0.891451i | \(0.649688\pi\) | |||||||
\(570\) | 2.88801 | + | 3.17280i | 0.120966 | + | 0.132894i | ||||
\(571\) | −36.4039 | −1.52345 | −0.761727 | − | 0.647898i | \(-0.775648\pi\) | ||||
−0.761727 | + | 0.647898i | \(0.775648\pi\) | |||||||
\(572\) | − | 0.164789i | − | 0.00689017i | ||||||
\(573\) | − | 4.08007i | − | 0.170447i | ||||||
\(574\) | 18.6444 | 0.778203 | ||||||||
\(575\) | −12.6030 | − | 1.18700i | −0.525580 | − | 0.0495011i | ||||
\(576\) | −23.9680 | −0.998666 | ||||||||
\(577\) | 31.3479i | 1.30503i | 0.757776 | + | 0.652514i | \(0.226286\pi\) | ||||
−0.757776 | + | 0.652514i | \(0.773714\pi\) | |||||||
\(578\) | − | 2.98022i | − | 0.123961i | ||||||
\(579\) | 1.31714 | 0.0547385 | ||||||||
\(580\) | −7.87454 | − | 8.65105i | −0.326973 | − | 0.359215i | ||||
\(581\) | −14.8769 | −0.617196 | ||||||||
\(582\) | − | 2.36561i | − | 0.0980577i | ||||||
\(583\) | 0.207409i | 0.00859002i | ||||||||
\(584\) | −51.0175 | −2.11112 | ||||||||
\(585\) | 0.317003 | − | 0.288549i | 0.0131064 | − | 0.0119300i | ||||
\(586\) | −9.47730 | −0.391504 | ||||||||
\(587\) | − | 44.4381i | − | 1.83416i | −0.398705 | − | 0.917079i | \(-0.630540\pi\) | ||
0.398705 | − | 0.917079i | \(-0.369460\pi\) | |||||||
\(588\) | − | 0.336326i | − | 0.0138699i | ||||||
\(589\) | −64.7410 | −2.66761 | ||||||||
\(590\) | −21.5621 | + | 19.6268i | −0.887699 | + | 0.808021i | ||||
\(591\) | 4.12022 | 0.169483 | ||||||||
\(592\) | 4.81559i | 0.197920i | ||||||||
\(593\) | 6.62491i | 0.272052i | 0.990705 | + | 0.136026i | \(0.0434331\pi\) | ||||
−0.990705 | + | 0.136026i | \(0.956567\pi\) | |||||||
\(594\) | −4.62096 | −0.189600 | ||||||||
\(595\) | 15.1310 | + | 16.6230i | 0.620310 | + | 0.681478i | ||||
\(596\) | −7.43941 | −0.304730 | ||||||||
\(597\) | 2.65789i | 0.108780i | ||||||||
\(598\) | − | 0.180186i | − | 0.00736834i | ||||||
\(599\) | −24.8397 | −1.01492 | −0.507460 | − | 0.861675i | \(-0.669416\pi\) | ||||
−0.507460 | + | 0.861675i | \(0.669416\pi\) | |||||||
\(600\) | −0.322008 | + | 3.41893i | −0.0131459 | + | 0.139577i | ||||
\(601\) | −6.70931 | −0.273679 | −0.136839 | − | 0.990593i | \(-0.543694\pi\) | ||||
−0.136839 | + | 0.990593i | \(0.543694\pi\) | |||||||
\(602\) | − | 26.6317i | − | 1.08543i | ||||||
\(603\) | − | 39.4152i | − | 1.60511i | ||||||
\(604\) | −3.55844 | −0.144791 | ||||||||
\(605\) | 1.46012 | + | 1.60410i | 0.0593622 | + | 0.0652159i | ||||
\(606\) | −4.04138 | −0.164170 | ||||||||
\(607\) | − | 18.3020i | − | 0.742857i | −0.928462 | − | 0.371428i | \(-0.878868\pi\) | ||
0.928462 | − | 0.371428i | \(-0.121132\pi\) | |||||||
\(608\) | − | 32.9347i | − | 1.33568i | ||||||
\(609\) | 3.31209 | 0.134213 | ||||||||
\(610\) | 14.2845 | − | 13.0024i | 0.578364 | − | 0.526451i | ||||
\(611\) | −0.554366 | −0.0224273 | ||||||||
\(612\) | 10.4886i | 0.423977i | ||||||||
\(613\) | 26.7397i | 1.08000i | 0.841664 | + | 0.540002i | \(0.181577\pi\) | ||||
−0.841664 | + | 0.540002i | \(0.818423\pi\) | |||||||
\(614\) | 7.24045 | 0.292201 | ||||||||
\(615\) | 2.78489 | − | 2.53492i | 0.112298 | − | 0.102218i | ||||
\(616\) | 21.9882 | 0.885931 | ||||||||
\(617\) | − | 44.9237i | − | 1.80856i | −0.426939 | − | 0.904280i | \(-0.640408\pi\) | ||
0.426939 | − | 0.904280i | \(-0.359592\pi\) | |||||||
\(618\) | − | 2.64761i | − | 0.106503i | ||||||
\(619\) | −34.7225 | −1.39562 | −0.697808 | − | 0.716285i | \(-0.745841\pi\) | ||||
−0.697808 | + | 0.716285i | \(0.745841\pi\) | |||||||
\(620\) | −9.97207 | − | 10.9554i | −0.400488 | − | 0.439980i | ||||
\(621\) | 3.37313 | 0.135359 | ||||||||
\(622\) | − | 21.2684i | − | 0.852784i | ||||||
\(623\) | 24.4846i | 0.980954i | ||||||||
\(624\) | −0.0255776 | −0.00102392 | ||||||||
\(625\) | −24.5604 | − | 4.66779i | −0.982415 | − | 0.186711i | ||||
\(626\) | 21.3025 | 0.851418 | ||||||||
\(627\) | − | 5.54866i | − | 0.221592i | ||||||
\(628\) | − | 0.208560i | − | 0.00832244i | ||||||
\(629\) | 12.1673 | 0.485142 | ||||||||
\(630\) | 11.0070 | + | 12.0924i | 0.438531 | + | 0.481774i | ||||
\(631\) | −30.3033 | −1.20635 | −0.603177 | − | 0.797607i | \(-0.706099\pi\) | ||||
−0.603177 | + | 0.797607i | \(0.706099\pi\) | |||||||
\(632\) | 2.22522i | 0.0885146i | ||||||||
\(633\) | − | 3.88237i | − | 0.154311i | ||||||
\(634\) | −0.868030 | −0.0344739 | ||||||||
\(635\) | 10.0227 | − | 9.12306i | 0.397738 | − | 0.362038i | ||||
\(636\) | −0.0117418 | −0.000465593 | ||||||||
\(637\) | 0.121909i | 0.00483019i | ||||||||
\(638\) | − | 22.6624i | − | 0.897214i | ||||||
\(639\) | −25.2533 | −0.999006 | ||||||||
\(640\) | −0.792674 | + | 0.721525i | −0.0313332 | + | 0.0285208i | ||||
\(641\) | 44.8929 | 1.77316 | 0.886582 | − | 0.462571i | \(-0.153073\pi\) | ||||
0.886582 | + | 0.462571i | \(0.153073\pi\) | |||||||
\(642\) | 0.410432i | 0.0161984i | ||||||||
\(643\) | 0.746188i | 0.0294268i | 0.999892 | + | 0.0147134i | \(0.00468359\pi\) | ||||
−0.999892 | + | 0.0147134i | \(0.995316\pi\) | |||||||
\(644\) | −4.58859 | −0.180816 | ||||||||
\(645\) | −3.62088 | − | 3.97794i | −0.142572 | − | 0.156631i | ||||
\(646\) | 38.0515 | 1.49711 | ||||||||
\(647\) | 25.5099i | 1.00290i | 0.865188 | + | 0.501448i | \(0.167199\pi\) | ||||
−0.865188 | + | 0.501448i | \(0.832801\pi\) | |||||||
\(648\) | 26.2277i | 1.03032i | ||||||||
\(649\) | 37.7084 | 1.48018 | ||||||||
\(650\) | 0.0333679 | − | 0.354284i | 0.00130880 | − | 0.0138962i | ||||
\(651\) | 4.19433 | 0.164389 | ||||||||
\(652\) | − | 4.33972i | − | 0.169956i | ||||||
\(653\) | 28.7035i | 1.12325i | 0.827391 | + | 0.561627i | \(0.189824\pi\) | ||||
−0.827391 | + | 0.561627i | \(0.810176\pi\) | |||||||
\(654\) | 4.15899 | 0.162629 | ||||||||
\(655\) | 9.84546 | + | 10.8163i | 0.384694 | + | 0.422628i | ||||
\(656\) | 13.2188 | 0.516108 | ||||||||
\(657\) | 49.0669i | 1.91428i | ||||||||
\(658\) | − | 21.1470i | − | 0.824395i | ||||||
\(659\) | −15.5090 | −0.604146 | −0.302073 | − | 0.953285i | \(-0.597679\pi\) | ||||
−0.302073 | + | 0.953285i | \(0.597679\pi\) | |||||||
\(660\) | 0.938940 | − | 0.854662i | 0.0365482 | − | 0.0332677i | ||||
\(661\) | −28.9524 | −1.12612 | −0.563058 | − | 0.826417i | \(-0.690375\pi\) | ||||
−0.563058 | + | 0.826417i | \(0.690375\pi\) | |||||||
\(662\) | 16.0972i | 0.625637i | ||||||||
\(663\) | 0.0646254i | 0.00250984i | ||||||||
\(664\) | −20.1573 | −0.782257 | ||||||||
\(665\) | −29.2870 | + | 26.6583i | −1.13570 | + | 1.03376i | ||||
\(666\) | 8.85111 | 0.342973 | ||||||||
\(667\) | 16.5427i | 0.640536i | ||||||||
\(668\) | − | 17.6406i | − | 0.682534i | ||||||
\(669\) | 0.153540 | 0.00593620 | ||||||||
\(670\) | −22.0254 | − | 24.1973i | −0.850915 | − | 0.934823i | ||||
\(671\) | −24.9811 | −0.964385 | ||||||||
\(672\) | 2.13372i | 0.0823100i | ||||||||
\(673\) | − | 35.4119i | − | 1.36503i | −0.730873 | − | 0.682513i | \(-0.760887\pi\) | ||
0.730873 | − | 0.682513i | \(-0.239113\pi\) | |||||||
\(674\) | 18.9881 | 0.731395 | ||||||||
\(675\) | 6.63231 | + | 0.624657i | 0.255278 | + | 0.0240430i | ||||
\(676\) | 10.4052 | 0.400201 | ||||||||
\(677\) | 17.5836i | 0.675791i | 0.941184 | + | 0.337896i | \(0.109715\pi\) | ||||
−0.941184 | + | 0.337896i | \(0.890285\pi\) | |||||||
\(678\) | 2.12113i | 0.0814615i | ||||||||
\(679\) | 21.8361 | 0.837994 | ||||||||
\(680\) | 20.5016 | + | 22.5233i | 0.786202 | + | 0.863729i | ||||
\(681\) | −5.30784 | −0.203397 | ||||||||
\(682\) | − | 28.6990i | − | 1.09894i | ||||||
\(683\) | 29.9328i | 1.14535i | 0.819783 | + | 0.572674i | \(0.194094\pi\) | ||||
−0.819783 | + | 0.572674i | \(0.805906\pi\) | |||||||
\(684\) | −18.4792 | −0.706570 | ||||||||
\(685\) | −13.4680 | + | 12.2592i | −0.514588 | + | 0.468399i | ||||
\(686\) | −22.0035 | −0.840098 | ||||||||
\(687\) | − | 4.06807i | − | 0.155207i | ||||||
\(688\) | − | 18.8818i | − | 0.719861i | ||||||
\(689\) | 0.00425606 | 0.000162143 | ||||||||
\(690\) | 1.02667 | − | 0.934516i | 0.0390846 | − | 0.0355764i | ||||
\(691\) | 13.2291 | 0.503260 | 0.251630 | − | 0.967823i | \(-0.419033\pi\) | ||||
0.251630 | + | 0.967823i | \(0.419033\pi\) | |||||||
\(692\) | − | 14.4891i | − | 0.550793i | ||||||
\(693\) | − | 21.1475i | − | 0.803328i | ||||||
\(694\) | −15.3040 | −0.580933 | ||||||||
\(695\) | −9.61586 | − | 10.5641i | −0.364750 | − | 0.400718i | ||||
\(696\) | 4.48770 | 0.170106 | ||||||||
\(697\) | − | 33.3992i | − | 1.26509i | ||||||
\(698\) | − | 19.9598i | − | 0.755488i | ||||||
\(699\) | 0.380411 | 0.0143884 | ||||||||
\(700\) | −9.02218 | − | 0.849743i | −0.341006 | − | 0.0321173i | ||||
\(701\) | 15.9444 | 0.602214 | 0.301107 | − | 0.953590i | \(-0.402644\pi\) | ||||
0.301107 | + | 0.953590i | \(0.402644\pi\) | |||||||
\(702\) | 0.0948228i | 0.00357885i | ||||||||
\(703\) | 21.4367i | 0.808502i | ||||||||
\(704\) | 25.7324 | 0.969825 | ||||||||
\(705\) | −2.87517 | − | 3.15869i | −0.108285 | − | 0.118963i | ||||
\(706\) | −27.5483 | −1.03679 | ||||||||
\(707\) | − | 37.3046i | − | 1.40298i | ||||||
\(708\) | 2.13474i | 0.0802283i | ||||||||
\(709\) | −37.1049 | −1.39351 | −0.696753 | − | 0.717312i | \(-0.745372\pi\) | ||||
−0.696753 | + | 0.717312i | \(0.745372\pi\) | |||||||
\(710\) | −15.5032 | + | 14.1116i | −0.581824 | + | 0.529601i | ||||
\(711\) | 2.14014 | 0.0802617 | ||||||||
\(712\) | 33.1753i | 1.24330i | ||||||||
\(713\) | 20.9492i | 0.784552i | ||||||||
\(714\) | −2.46521 | −0.0922583 | ||||||||
\(715\) | −0.340338 | + | 0.309790i | −0.0127279 | + | 0.0115855i | ||||
\(716\) | 13.9420 | 0.521037 | ||||||||
\(717\) | 1.04765i | 0.0391254i | ||||||||
\(718\) | 6.62773i | 0.247345i | ||||||||
\(719\) | −5.70240 | −0.212664 | −0.106332 | − | 0.994331i | \(-0.533911\pi\) | ||||
−0.106332 | + | 0.994331i | \(0.533911\pi\) | |||||||
\(720\) | 7.80394 | + | 8.57348i | 0.290836 | + | 0.319515i | ||||
\(721\) | 24.4392 | 0.910163 | ||||||||
\(722\) | 46.2326i | 1.72060i | ||||||||
\(723\) | − | 0.223927i | − | 0.00832793i | ||||||
\(724\) | 5.36306 | 0.199317 | ||||||||
\(725\) | −3.06348 | + | 32.5266i | −0.113775 | + | 1.20801i | ||||
\(726\) | −0.237890 | −0.00882891 | ||||||||
\(727\) | − | 5.81600i | − | 0.215703i | −0.994167 | − | 0.107852i | \(-0.965603\pi\) | ||
0.994167 | − | 0.107852i | \(-0.0343972\pi\) | |||||||
\(728\) | − | 0.451201i | − | 0.0167226i | ||||||
\(729\) | 24.3299 | 0.901106 | ||||||||
\(730\) | 27.4187 | + | 30.1225i | 1.01481 | + | 1.11488i | ||||
\(731\) | −47.7075 | −1.76453 | ||||||||
\(732\) | − | 1.41422i | − | 0.0522712i | ||||||
\(733\) | − | 43.9492i | − | 1.62330i | −0.584143 | − | 0.811651i | \(-0.698569\pi\) | ||
0.584143 | − | 0.811651i | \(-0.301431\pi\) | |||||||
\(734\) | −34.2840 | −1.26545 | ||||||||
\(735\) | −0.694615 | + | 0.632268i | −0.0256213 | + | 0.0233215i | ||||
\(736\) | −10.6572 | −0.392828 | ||||||||
\(737\) | 42.3168i | 1.55876i | ||||||||
\(738\) | − | 24.2963i | − | 0.894359i | ||||||
\(739\) | 22.5626 | 0.829979 | 0.414989 | − | 0.909826i | \(-0.363785\pi\) | ||||
0.414989 | + | 0.909826i | \(0.363785\pi\) | |||||||
\(740\) | −3.62751 | + | 3.30191i | −0.133350 | + | 0.121381i | ||||
\(741\) | −0.113859 | −0.00418272 | ||||||||
\(742\) | 0.162353i | 0.00596015i | ||||||||
\(743\) | − | 7.18672i | − | 0.263655i | −0.991273 | − | 0.131828i | \(-0.957915\pi\) | ||
0.991273 | − | 0.131828i | \(-0.0420845\pi\) | |||||||
\(744\) | 5.68309 | 0.208352 | ||||||||
\(745\) | 13.9855 | + | 15.3646i | 0.512390 | + | 0.562916i | ||||
\(746\) | 19.1715 | 0.701919 | ||||||||
\(747\) | 19.3866i | 0.709320i | ||||||||
\(748\) | − | 11.2607i | − | 0.411733i | ||||||
\(749\) | −3.78855 | −0.138431 | ||||||||
\(750\) | 2.19171 | − | 1.64734i | 0.0800301 | − | 0.0601523i | ||||
\(751\) | 30.0828 | 1.09774 | 0.548868 | − | 0.835909i | \(-0.315059\pi\) | ||||
0.548868 | + | 0.835909i | \(0.315059\pi\) | |||||||
\(752\) | − | 14.9931i | − | 0.546742i | ||||||
\(753\) | 1.44381i | 0.0526154i | ||||||||
\(754\) | −0.465036 | −0.0169356 | ||||||||
\(755\) | 6.68959 | + | 7.34924i | 0.243459 | + | 0.267466i | ||||
\(756\) | 2.41475 | 0.0878235 | ||||||||
\(757\) | − | 6.52000i | − | 0.236973i | −0.992956 | − | 0.118487i | \(-0.962196\pi\) | ||
0.992956 | − | 0.118487i | \(-0.0378043\pi\) | |||||||
\(758\) | − | 0.624185i | − | 0.0226714i | ||||||
\(759\) | −1.79546 | −0.0651711 | ||||||||
\(760\) | −39.6823 | + | 36.1205i | −1.43943 | + | 1.31023i | ||||
\(761\) | 14.1010 | 0.511162 | 0.255581 | − | 0.966788i | \(-0.417733\pi\) | ||||
0.255581 | + | 0.966788i | \(0.417733\pi\) | |||||||
\(762\) | 1.48637i | 0.0538456i | ||||||||
\(763\) | 38.3902i | 1.38982i | ||||||||
\(764\) | 14.5885 | 0.527793 | ||||||||
\(765\) | 21.6621 | − | 19.7178i | 0.783197 | − | 0.712898i | ||||
\(766\) | 26.3122 | 0.950699 | ||||||||
\(767\) | − | 0.773780i | − | 0.0279396i | ||||||
\(768\) | 3.52132i | 0.127065i | ||||||||
\(769\) | −18.1800 | −0.655589 | −0.327795 | − | 0.944749i | \(-0.606305\pi\) | ||||
−0.327795 | + | 0.944749i | \(0.606305\pi\) | |||||||
\(770\) | −11.8173 | − | 12.9826i | −0.425867 | − | 0.467861i | ||||
\(771\) | −3.36169 | −0.121068 | ||||||||
\(772\) | 4.70950i | 0.169499i | ||||||||
\(773\) | − | 43.7032i | − | 1.57190i | −0.618293 | − | 0.785948i | \(-0.712175\pi\) | ||
0.618293 | − | 0.785948i | \(-0.287825\pi\) | |||||||
\(774\) | −34.7049 | −1.24744 | ||||||||
\(775\) | −3.87949 | + | 41.1907i | −0.139356 | + | 1.47961i | ||||
\(776\) | 29.5868 | 1.06210 | ||||||||
\(777\) | − | 1.38881i | − | 0.0498232i | ||||||
\(778\) | 14.8742i | 0.533266i | ||||||||
\(779\) | 58.8439 | 2.10830 | ||||||||
\(780\) | −0.0175378 | − | 0.0192672i | −0.000627953 | − | 0.000689875i | ||||
\(781\) | 27.1123 | 0.970155 | ||||||||
\(782\) | − | 12.3129i | − | 0.440307i | ||||||
\(783\) | − | 8.70561i | − | 0.311113i | ||||||
\(784\) | −3.29708 | −0.117753 | ||||||||
\(785\) | −0.430739 | + | 0.392076i | −0.0153737 | + | 0.0139938i | ||||
\(786\) | −1.60407 | −0.0572153 | ||||||||
\(787\) | 20.3278i | 0.724608i | 0.932060 | + | 0.362304i | \(0.118010\pi\) | ||||
−0.932060 | + | 0.362304i | \(0.881990\pi\) | |||||||
\(788\) | 14.7321i | 0.524808i | ||||||||
\(789\) | −2.49826 | −0.0889405 | ||||||||
\(790\) | 1.31385 | − | 1.19592i | 0.0467447 | − | 0.0425489i | ||||
\(791\) | −19.5794 | −0.696164 | ||||||||
\(792\) | − | 28.6538i | − | 1.01817i | ||||||
\(793\) | 0.512615i | 0.0182035i | ||||||||
\(794\) | −10.4359 | −0.370358 | ||||||||
\(795\) | 0.0220737 | + | 0.0242504i | 0.000782873 | + | 0.000860072i | ||||
\(796\) | −9.50343 | −0.336840 | ||||||||
\(797\) | − | 8.91772i | − | 0.315882i | −0.987449 | − | 0.157941i | \(-0.949514\pi\) | ||
0.987449 | − | 0.157941i | \(-0.0504856\pi\) | |||||||
\(798\) | − | 4.34329i | − | 0.153751i | ||||||
\(799\) | −37.8822 | −1.34018 | ||||||||
\(800\) | −20.9543 | − | 1.97356i | −0.740847 | − | 0.0697758i | ||||
\(801\) | 31.9069 | 1.12737 | ||||||||
\(802\) | 10.9362i | 0.386170i | ||||||||
\(803\) | − | 52.6789i | − | 1.85900i | ||||||
\(804\) | −2.39563 | −0.0844872 | ||||||||
\(805\) | 8.62620 | + | 9.47682i | 0.304034 | + | 0.334014i | ||||
\(806\) | −0.588906 | −0.0207433 | ||||||||
\(807\) | − | 3.02470i | − | 0.106475i | ||||||
\(808\) | − | 50.5457i | − | 1.77819i | ||||||
\(809\) | 23.4279 | 0.823680 | 0.411840 | − | 0.911256i | \(-0.364886\pi\) | ||||
0.411840 | + | 0.911256i | \(0.364886\pi\) | |||||||
\(810\) | 15.4857 | − | 14.0958i | 0.544113 | − | 0.495275i | ||||
\(811\) | 17.8208 | 0.625774 | 0.312887 | − | 0.949790i | \(-0.398704\pi\) | ||||
0.312887 | + | 0.949790i | \(0.398704\pi\) | |||||||
\(812\) | 11.8426i | 0.415592i | ||||||||
\(813\) | − | 2.93314i | − | 0.102870i | ||||||
\(814\) | −9.50267 | −0.333069 | ||||||||
\(815\) | −8.96282 | + | 8.15833i | −0.313954 | + | 0.285774i | ||||
\(816\) | −1.74782 | −0.0611861 | ||||||||
\(817\) | − | 84.0527i | − | 2.94063i | ||||||
\(818\) | 2.03360i | 0.0711033i | ||||||||
\(819\) | −0.433950 | −0.0151634 | ||||||||
\(820\) | 9.06374 | + | 9.95751i | 0.316520 | + | 0.347731i | ||||
\(821\) | 33.2196 | 1.15937 | 0.579686 | − | 0.814840i | \(-0.303175\pi\) | ||||
0.579686 | + | 0.814840i | \(0.303175\pi\) | |||||||
\(822\) | − | 1.99733i | − | 0.0696647i | ||||||
\(823\) | − | 13.2155i | − | 0.460663i | −0.973112 | − | 0.230331i | \(-0.926019\pi\) | ||
0.973112 | − | 0.230331i | \(-0.0739810\pi\) | |||||||
\(824\) | 33.1138 | 1.15357 | ||||||||
\(825\) | −3.53027 | − | 0.332494i | −0.122908 | − | 0.0115760i | ||||
\(826\) | 29.5168 | 1.02702 | ||||||||
\(827\) | 47.8885i | 1.66525i | 0.553840 | + | 0.832623i | \(0.313162\pi\) | ||||
−0.553840 | + | 0.832623i | \(0.686838\pi\) | |||||||
\(828\) | 5.97958i | 0.207805i | ||||||||
\(829\) | −50.0186 | −1.73722 | −0.868609 | − | 0.495498i | \(-0.834985\pi\) | ||||
−0.868609 | + | 0.495498i | \(0.834985\pi\) | |||||||
\(830\) | 10.8333 | + | 11.9016i | 0.376030 | + | 0.413111i | ||||
\(831\) | 3.23544 | 0.112236 | ||||||||
\(832\) | − | 0.528031i | − | 0.0183062i | ||||||
\(833\) | 8.33054i | 0.288636i | ||||||||
\(834\) | 1.56666 | 0.0542491 | ||||||||
\(835\) | −36.4331 | + | 33.1629i | −1.26082 | + | 1.14765i | ||||
\(836\) | 19.8395 | 0.686164 | ||||||||
\(837\) | − | 11.0245i | − | 0.381063i | ||||||
\(838\) | 10.4430i | 0.360747i | ||||||||
\(839\) | 23.0264 | 0.794958 | 0.397479 | − | 0.917611i | \(-0.369885\pi\) | ||||
0.397479 | + | 0.917611i | \(0.369885\pi\) | |||||||
\(840\) | 2.57087 | − | 2.34011i | 0.0887034 | − | 0.0807416i | ||||
\(841\) | 13.6946 | 0.472227 | ||||||||
\(842\) | − | 23.1975i | − | 0.799438i | ||||||
\(843\) | − | 0.397845i | − | 0.0137025i | ||||||
\(844\) | 13.8816 | 0.477826 | ||||||||
\(845\) | −19.5610 | − | 21.4899i | −0.672920 | − | 0.739276i | ||||
\(846\) | −27.5575 | −0.947446 | ||||||||
\(847\) | − | 2.19588i | − | 0.0754512i | ||||||
\(848\) | 0.115107i | 0.00395280i | ||||||||
\(849\) | −4.13166 | −0.141798 | ||||||||
\(850\) | 2.28017 | − | 24.2098i | 0.0782092 | − | 0.830389i | ||||
\(851\) | 6.93659 | 0.237783 | ||||||||
\(852\) | 1.53488i | 0.0525840i | ||||||||
\(853\) | 39.2071i | 1.34243i | 0.741265 | + | 0.671213i | \(0.234226\pi\) | ||||
−0.741265 | + | 0.671213i | \(0.765774\pi\) | |||||||
\(854\) | −19.5543 | −0.669135 | ||||||||
\(855\) | 34.7395 | + | 38.1651i | 1.18806 | + | 1.30522i | ||||
\(856\) | −5.13328 | −0.175452 | ||||||||
\(857\) | − | 36.7331i | − | 1.25478i | −0.778706 | − | 0.627389i | \(-0.784124\pi\) | ||
0.778706 | − | 0.627389i | \(-0.215876\pi\) | |||||||
\(858\) | − | 0.0504725i | − | 0.00172310i | ||||||
\(859\) | 47.6475 | 1.62571 | 0.812856 | − | 0.582465i | \(-0.197912\pi\) | ||||
0.812856 | + | 0.582465i | \(0.197912\pi\) | |||||||
\(860\) | 14.2233 | − | 12.9467i | 0.485011 | − | 0.441478i | ||||
\(861\) | −3.81228 | −0.129922 | ||||||||
\(862\) | − | 39.1139i | − | 1.33223i | ||||||
\(863\) | 35.6174i | 1.21243i | 0.795301 | + | 0.606215i | \(0.207313\pi\) | ||||
−0.795301 | + | 0.606215i | \(0.792687\pi\) | |||||||
\(864\) | 5.60834 | 0.190800 | ||||||||
\(865\) | −29.9243 | + | 27.2384i | −1.01746 | + | 0.926133i | ||||
\(866\) | 12.9579 | 0.440328 | ||||||||
\(867\) | 0.609373i | 0.0206954i | ||||||||
\(868\) | 14.9970i | 0.509033i | ||||||||
\(869\) | −2.29769 | −0.0779438 | ||||||||
\(870\) | −2.41186 | − | 2.64970i | −0.0817699 | − | 0.0898331i | ||||
\(871\) | 0.868345 | 0.0294228 | ||||||||
\(872\) | 52.0166i | 1.76150i | ||||||||
\(873\) | − | 28.4556i | − | 0.963075i | ||||||
\(874\) | 21.6932 | 0.733784 | ||||||||
\(875\) | 15.2060 | + | 20.2310i | 0.514057 | + | 0.683931i | ||||
\(876\) | 2.98224 | 0.100761 | ||||||||
\(877\) | 39.1576i | 1.32226i | 0.750272 | + | 0.661129i | \(0.229922\pi\) | ||||
−0.750272 | + | 0.661129i | \(0.770078\pi\) | |||||||
\(878\) | − | 2.31912i | − | 0.0782664i | ||||||
\(879\) | 1.93785 | 0.0653621 | ||||||||
\(880\) | −8.37842 | − | 9.20461i | −0.282437 | − | 0.310288i | ||||
\(881\) | −30.9027 | −1.04114 | −0.520569 | − | 0.853820i | \(-0.674280\pi\) | ||||
−0.520569 | + | 0.853820i | \(0.674280\pi\) | |||||||
\(882\) | 6.06006i | 0.204053i | ||||||||
\(883\) | 9.36408i | 0.315126i | 0.987509 | + | 0.157563i | \(0.0503638\pi\) | ||||
−0.987509 | + | 0.157563i | \(0.949636\pi\) | |||||||
\(884\) | −0.231071 | −0.00777177 | ||||||||
\(885\) | 4.40887 | − | 4.01314i | 0.148203 | − | 0.134900i | ||||
\(886\) | 29.3581 | 0.986304 | ||||||||
\(887\) | 48.6485i | 1.63346i | 0.577023 | + | 0.816728i | \(0.304214\pi\) | ||||
−0.577023 | + | 0.816728i | \(0.695786\pi\) | |||||||
\(888\) | − | 1.88176i | − | 0.0631477i | ||||||
\(889\) | −13.7202 | −0.460161 | ||||||||
\(890\) | 19.5878 | − | 17.8297i | 0.656586 | − | 0.597652i | ||||
\(891\) | −27.0818 | −0.907274 | ||||||||
\(892\) | 0.548991i | 0.0183816i | ||||||||
\(893\) | − | 66.7422i | − | 2.23344i | ||||||
\(894\) | −2.27859 | −0.0762074 | ||||||||
\(895\) | −26.2099 | − | 28.7944i | −0.876099 | − | 0.962491i | ||||
\(896\) | 1.08510 | 0.0362508 | ||||||||
\(897\) | 0.0368431i | 0.00123015i | ||||||||
\(898\) | 39.0207i | 1.30214i | ||||||||
\(899\) | 54.0671 | 1.80324 | ||||||||
\(900\) | −1.10733 | + | 11.7572i | −0.0369112 | + | 0.391906i | ||||
\(901\) | 0.290835 | 0.00968913 | ||||||||
\(902\) | 26.0849i | 0.868531i | ||||||||
\(903\) | 5.44546i | 0.181214i | ||||||||
\(904\) | −26.5290 | −0.882343 | ||||||||
\(905\) | −10.0821 | − | 11.0763i | −0.335142 | − | 0.368190i | ||||
\(906\) | −1.08990 | −0.0362095 | ||||||||
\(907\) | 42.3130i | 1.40498i | 0.711694 | + | 0.702489i | \(0.247928\pi\) | ||||
−0.711694 | + | 0.702489i | \(0.752072\pi\) | |||||||
\(908\) | − | 18.9785i | − | 0.629822i | ||||||
\(909\) | −48.6131 | −1.61240 | ||||||||
\(910\) | −0.266405 | + | 0.242493i | −0.00883124 | + | 0.00803856i | ||||
\(911\) | 2.03059 | 0.0672763 | 0.0336382 | − | 0.999434i | \(-0.489291\pi\) | ||||
0.0336382 | + | 0.999434i | \(0.489291\pi\) | |||||||
\(912\) | − | 3.07938i | − | 0.101968i | ||||||
\(913\) | − | 20.8138i | − | 0.688836i | ||||||
\(914\) | 4.78931 | 0.158416 | ||||||||
\(915\) | −2.92080 | + | 2.65863i | −0.0965586 | + | 0.0878917i | ||||
\(916\) | 14.5456 | 0.480601 | ||||||||
\(917\) | − | 14.8066i | − | 0.488958i | ||||||
\(918\) | 6.47965i | 0.213860i | ||||||||
\(919\) | 24.5581 | 0.810097 | 0.405048 | − | 0.914295i | \(-0.367255\pi\) | ||||
0.405048 | + | 0.914295i | \(0.367255\pi\) | |||||||
\(920\) | 11.6880 | + | 12.8406i | 0.385343 | + | 0.423341i | ||||
\(921\) | −1.48048 | −0.0487833 | ||||||||
\(922\) | 2.55021i | 0.0839866i | ||||||||
\(923\) | − | 0.556348i | − | 0.0183124i | ||||||
\(924\) | −1.28533 | −0.0422842 | ||||||||
\(925\) | 13.6389 | + | 1.28456i | 0.448443 | + | 0.0422361i | ||||
\(926\) | −26.6868 | −0.876983 | ||||||||
\(927\) | − | 31.8477i | − | 1.04602i | ||||||
\(928\) | 27.5048i | 0.902888i | ||||||||
\(929\) | −6.26058 | −0.205403 | −0.102702 | − | 0.994712i | \(-0.532749\pi\) | ||||
−0.102702 | + | 0.994712i | \(0.532749\pi\) | |||||||
\(930\) | −3.05431 | − | 3.35549i | −0.100155 | − | 0.110031i | ||||
\(931\) | −14.6770 | −0.481020 | ||||||||
\(932\) | 1.36018i | 0.0445541i | ||||||||
\(933\) | 4.34881i | 0.142374i | ||||||||
\(934\) | −46.0559 | −1.50700 | ||||||||
\(935\) | −23.2568 | + | 21.1693i | −0.760578 | + | 0.692310i | ||||
\(936\) | −0.587979 | −0.0192187 | ||||||||
\(937\) | 21.1381i | 0.690552i | 0.938501 | + | 0.345276i | \(0.112215\pi\) | ||||
−0.938501 | + | 0.345276i | \(0.887785\pi\) | |||||||
\(938\) | 33.1241i | 1.08154i | ||||||||
\(939\) | −4.35577 | −0.142145 | ||||||||
\(940\) | 11.2941 | − | 10.2803i | 0.368372 | − | 0.335307i | ||||
\(941\) | −3.32725 | −0.108465 | −0.0542327 | − | 0.998528i | \(-0.517271\pi\) | ||||
−0.0542327 | + | 0.998528i | \(0.517271\pi\) | |||||||
\(942\) | − | 0.0638790i | − | 0.00208129i | ||||||
\(943\) | − | 19.0410i | − | 0.620059i | ||||||
\(944\) | 20.9272 | 0.681124 | ||||||||
\(945\) | −4.53954 | − | 4.98718i | −0.147671 | − | 0.162233i | ||||
\(946\) | 37.2597 | 1.21142 | ||||||||
\(947\) | 3.04446i | 0.0989318i | 0.998776 | + | 0.0494659i | \(0.0157519\pi\) | ||||
−0.998776 | + | 0.0494659i | \(0.984248\pi\) | |||||||
\(948\) | − | 0.130076i | − | 0.00422468i | ||||||
\(949\) | −1.08098 | −0.0350900 | ||||||||
\(950\) | 42.6536 | + | 4.01728i | 1.38387 | + | 0.130338i | ||||
\(951\) | 0.177489 | 0.00575546 | ||||||||
\(952\) | − | 30.8325i | − | 0.999287i | ||||||
\(953\) | 9.75807i | 0.316095i | 0.987432 | + | 0.158047i | \(0.0505199\pi\) | ||||
−0.987432 | + | 0.158047i | \(0.949480\pi\) | |||||||
\(954\) | 0.211568 | 0.00684978 | ||||||||
\(955\) | −27.4253 | − | 30.1296i | −0.887460 | − | 0.974972i | ||||
\(956\) | −3.74594 | −0.121152 | ||||||||
\(957\) | 4.63385i | 0.149791i | ||||||||
\(958\) | 33.2010i | 1.07267i | ||||||||
\(959\) | 18.4366 | 0.595350 | ||||||||
\(960\) | 3.00864 | − | 2.73859i | 0.0971033 | − | 0.0883875i | ||||
\(961\) | 37.4688 | 1.20867 | ||||||||
\(962\) | 0.194996i | 0.00628692i | ||||||||
\(963\) | 4.93702i | 0.159093i | ||||||||
\(964\) | 0.800662 | 0.0257876 | ||||||||
\(965\) | 9.72654 | − | 8.85350i | 0.313108 | − | 0.285004i | ||||
\(966\) | −1.40542 | −0.0452187 | ||||||||
\(967\) | 8.16066i | 0.262429i | 0.991354 | + | 0.131215i | \(0.0418877\pi\) | ||||
−0.991354 | + | 0.131215i | \(0.958112\pi\) | |||||||
\(968\) | − | 2.97529i | − | 0.0956296i | ||||||
\(969\) | −7.78049 | −0.249945 | ||||||||
\(970\) | −15.9011 | − | 17.4691i | −0.510553 | − | 0.560898i | ||||
\(971\) | 16.0914 | 0.516398 | 0.258199 | − | 0.966092i | \(-0.416871\pi\) | ||||
0.258199 | + | 0.966092i | \(0.416871\pi\) | |||||||
\(972\) | − | 4.73340i | − | 0.151824i | ||||||
\(973\) | 14.4613i | 0.463609i | ||||||||
\(974\) | −17.9733 | −0.575902 | ||||||||
\(975\) | −0.00682282 | + | 0.0724415i | −0.000218505 | + | 0.00231999i | ||||
\(976\) | −13.8639 | −0.443774 | ||||||||
\(977\) | − | 23.1058i | − | 0.739220i | −0.929187 | − | 0.369610i | \(-0.879491\pi\) | ||
0.929187 | − | 0.369610i | \(-0.120509\pi\) | |||||||
\(978\) | − | 1.32920i | − | 0.0425030i | ||||||
\(979\) | −34.2557 | −1.09482 | ||||||||
\(980\) | −2.26071 | − | 2.48363i | −0.0722156 | − | 0.0793368i | ||||
\(981\) | 50.0278 | 1.59727 | ||||||||
\(982\) | − | 0.614436i | − | 0.0196074i | ||||||
\(983\) | 44.1346i | 1.40768i | 0.710361 | + | 0.703838i | \(0.248532\pi\) | ||||
−0.710361 | + | 0.703838i | \(0.751468\pi\) | |||||||
\(984\) | −5.16543 | −0.164668 | ||||||||
\(985\) | 30.4262 | − | 27.6952i | 0.969458 | − | 0.882441i | ||||
\(986\) | −31.7779 | −1.01201 | ||||||||
\(987\) | 4.32398i | 0.137634i | ||||||||
\(988\) | − | 0.407110i | − | 0.0129519i | ||||||
\(989\) | −27.1981 | −0.864851 | ||||||||
\(990\) | −16.9182 | + | 15.3996i | −0.537695 | + | 0.489432i | ||||
\(991\) | −5.42300 | −0.172267 | −0.0861337 | − | 0.996284i | \(-0.527451\pi\) | ||||
−0.0861337 | + | 0.996284i | \(0.527451\pi\) | |||||||
\(992\) | 34.8312i | 1.10589i | ||||||||
\(993\) | − | 3.29145i | − | 0.104451i | ||||||
\(994\) | 21.2226 | 0.673139 | ||||||||
\(995\) | 17.8657 | + | 19.6275i | 0.566382 | + | 0.622232i | ||||
\(996\) | 1.17830 | 0.0373360 | ||||||||
\(997\) | 56.5705i | 1.79161i | 0.444451 | + | 0.895803i | \(0.353399\pi\) | ||||
−0.444451 | + | 0.895803i | \(0.646601\pi\) | |||||||
\(998\) | 42.8310i | 1.35579i | ||||||||
\(999\) | −3.65039 | −0.115493 |
(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 | 1205.2.b.c.724.32 | yes | 46 | |
5.2 | odd | 4 | 6025.2.a.p.1.15 | 46 | |||
5.3 | odd | 4 | 6025.2.a.p.1.32 | 46 | |||
5.4 | even | 2 | inner | 1205.2.b.c.724.15 | ✓ | 46 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1205.2.b.c.724.15 | ✓ | 46 | 5.4 | even | 2 | inner | |
1205.2.b.c.724.32 | yes | 46 | 1.1 | even | 1 | trivial | |
6025.2.a.p.1.15 | 46 | 5.2 | odd | 4 | |||
6025.2.a.p.1.32 | 46 | 5.3 | odd | 4 |