Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [888,2,Mod(49,888)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(888, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("888.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 888 = 2^{3} \cdot 3 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 888.bo (of order \(9\), degree \(6\), 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: | \(7.09071569949\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 793.4 | ||
Character | \(\chi\) | \(=\) | 888.793 |
Dual form | 888.2.bo.c.673.4 |
$q$-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 \(\left(\mathbb{Z}/888\mathbb{Z}\right)^\times\).
\(n\) | \(223\) | \(409\) | \(445\) | \(593\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.939693 | + | 0.342020i | −0.542532 | + | 0.197465i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.299629 | − | 1.69928i | 0.133998 | − | 0.759940i | −0.841554 | − | 0.540173i | \(-0.818359\pi\) |
0.975552 | − | 0.219768i | \(-0.0705300\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.229436 | + | 1.30120i | −0.0867187 | + | 0.491806i | 0.910254 | + | 0.414051i | \(0.135886\pi\) |
−0.996972 | + | 0.0777555i | \(0.975225\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.766044 | − | 0.642788i | 0.255348 | − | 0.214263i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.05459 | + | 3.55865i | 0.619481 | + | 1.07297i | 0.989580 | + | 0.143981i | \(0.0459904\pi\) |
−0.370099 | + | 0.928992i | \(0.620676\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.68246 | − | 1.41175i | −0.466631 | − | 0.391550i | 0.378933 | − | 0.925424i | \(-0.376291\pi\) |
−0.845564 | + | 0.533874i | \(0.820736\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.299629 | + | 1.69928i | 0.0773638 | + | 0.438752i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.0893478 | + | 0.0749717i | −0.0216700 | + | 0.0181833i | −0.653558 | − | 0.756876i | \(-0.726725\pi\) |
0.631888 | + | 0.775059i | \(0.282280\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.12891 | − | 0.774859i | 0.488405 | − | 0.177765i | −0.0860666 | − | 0.996289i | \(-0.527430\pi\) |
0.574472 | + | 0.818524i | \(0.305208\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.229436 | − | 1.30120i | −0.0500671 | − | 0.283945i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.660635 | + | 1.14425i | −0.137752 | + | 0.238593i | −0.926645 | − | 0.375937i | \(-0.877321\pi\) |
0.788893 | + | 0.614530i | \(0.210654\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.90069 | + | 0.691796i | 0.380139 | + | 0.138359i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.31343 | + | 2.27492i | 0.243897 | + | 0.422443i | 0.961821 | − | 0.273679i | \(-0.0882407\pi\) |
−0.717924 | + | 0.696122i | \(0.754907\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.81670 | 1.58353 | 0.791763 | − | 0.610829i | \(-0.209164\pi\) | ||||
0.791763 | + | 0.610829i | \(0.209164\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.14781 | − | 2.64133i | −0.547964 | − | 0.459796i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.14235 | + | 0.779752i | 0.362123 | + | 0.131802i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.41526 | − | 4.18395i | −0.725865 | − | 0.687837i | ||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.06385 | + | 0.751179i | 0.330480 | + | 0.120285i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.55621 | + | 2.14492i | 0.399214 | + | 0.334980i | 0.820190 | − | 0.572092i | \(-0.193868\pi\) |
−0.420976 | + | 0.907072i | \(0.638312\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.1772 | 1.70451 | 0.852257 | − | 0.523123i | \(-0.175233\pi\) | ||||
0.852257 | + | 0.523123i | \(0.175233\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.862746 | − | 1.49432i | −0.128611 | − | 0.222760i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.225741 | + | 0.390994i | −0.0329276 | + | 0.0570324i | −0.882020 | − | 0.471213i | \(-0.843816\pi\) |
0.849092 | + | 0.528245i | \(0.177150\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.93737 | + | 1.79706i | 0.705339 | + | 0.256722i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.0583177 | − | 0.101009i | 0.00816611 | − | 0.0141441i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.545685 | − | 3.09474i | −0.0749557 | − | 0.425095i | −0.999075 | − | 0.0429918i | \(-0.986311\pi\) |
0.924120 | − | 0.382103i | \(-0.124800\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.66275 | − | 2.42504i | 0.898405 | − | 0.326993i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.73550 | + | 1.45626i | −0.229873 | + | 0.192886i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.731091 | + | 4.14622i | 0.0951799 | + | 0.539792i | 0.994692 | + | 0.102896i | \(0.0328110\pi\) |
−0.899512 | + | 0.436896i | \(0.856078\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.16100 | + | 4.33059i | 0.660798 | + | 0.554475i | 0.910326 | − | 0.413892i | \(-0.135831\pi\) |
−0.249528 | + | 0.968368i | \(0.580275\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.660635 | + | 1.14425i | 0.0832322 | + | 0.144162i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.90308 | + | 2.43597i | −0.360083 | + | 0.302145i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.0600486 | − | 0.340552i | 0.00733610 | − | 0.0416051i | −0.980920 | − | 0.194412i | \(-0.937720\pi\) |
0.988256 | + | 0.152807i | \(0.0488312\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.229436 | − | 1.30120i | 0.0276209 | − | 0.156646i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.43757 | + | 1.61514i | −0.526642 | + | 0.191682i | −0.591638 | − | 0.806203i | \(-0.701519\pi\) |
0.0649962 | + | 0.997886i | \(0.479296\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.95444 | 0.930997 | 0.465498 | − | 0.885049i | \(-0.345875\pi\) | ||||
0.465498 | + | 0.885049i | \(0.345875\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.02268 | −0.233558 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −5.10190 | + | 1.85694i | −0.581416 | + | 0.211618i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.14462 | + | 12.1627i | −0.241289 | + | 1.36842i | 0.587668 | + | 0.809102i | \(0.300046\pi\) |
−0.828956 | + | 0.559313i | \(0.811065\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.11359 | − | 3.45171i | 0.451525 | − | 0.378874i | −0.388477 | − | 0.921459i | \(-0.626999\pi\) |
0.840001 | + | 0.542584i | \(0.182554\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.100627 | + | 0.174291i | 0.0109145 | + | 0.0189045i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.01229 | − | 1.68851i | −0.215740 | − | 0.181027i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.807523 | + | 4.57969i | 0.0855972 | + | 0.485446i | 0.997226 | + | 0.0744317i | \(0.0237143\pi\) |
−0.911629 | + | 0.411014i | \(0.865175\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.22299 | − | 1.86531i | 0.233033 | − | 0.195538i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −8.28499 | + | 3.01549i | −0.859113 | + | 0.312692i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.678820 | − | 3.84978i | −0.0696454 | − | 0.394979i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.311196 | − | 0.539007i | 0.0315971 | − | 0.0547278i | −0.849794 | − | 0.527114i | \(-0.823274\pi\) |
0.881392 | + | 0.472386i | \(0.156607\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.86136 | + | 1.40542i | 0.388081 | + | 0.141250i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.26954 | − | 9.12710i | 0.524338 | − | 0.908181i | −0.475260 | − | 0.879845i | \(-0.657646\pi\) |
0.999598 | − | 0.0283355i | \(-0.00902066\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.77937 | + | 11.7422i | 0.667991 | + | 1.15700i | 0.978465 | + | 0.206413i | \(0.0661790\pi\) |
−0.310474 | + | 0.950582i | \(0.600488\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.27984 | −0.222490 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.84230 | − | 8.25867i | −0.951491 | − | 0.798396i | 0.0280568 | − | 0.999606i | \(-0.491068\pi\) |
−0.979548 | + | 0.201210i | \(0.935513\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.4376 | − | 4.52690i | −1.19130 | − | 0.433598i | −0.331121 | − | 0.943588i | \(-0.607427\pi\) |
−0.860180 | + | 0.509990i | \(0.829649\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.57999 | + | 2.42152i | 0.529629 | + | 0.229840i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.27266 | − | 1.91909i | −0.496010 | − | 0.180533i | 0.0818887 | − | 0.996641i | \(-0.473905\pi\) |
−0.577898 | + | 0.816109i | \(0.696127\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.74646 | + | 1.46545i | 0.162858 | + | 0.136654i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.19630 | −0.203048 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.0770534 | − | 0.133460i | −0.00706347 | − | 0.0122343i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.94266 | + | 5.09684i | −0.267515 | + | 0.463349i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.13566 | − | 1.14129i | −0.282733 | − | 0.102906i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 6.05879 | − | 10.4941i | 0.541914 | − | 0.938623i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.312856 | − | 1.77429i | −0.0277614 | − | 0.157443i | 0.967776 | − | 0.251814i | \(-0.0810271\pi\) |
−0.995537 | + | 0.0943710i | \(0.969916\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −10.5032 | + | 3.82284i | −0.924753 | + | 0.336583i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.6930 | + | 10.6507i | −1.10899 | + | 0.930555i | −0.997997 | − | 0.0632657i | \(-0.979848\pi\) |
−0.110996 | + | 0.993821i | \(0.535404\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.519796 | + | 2.94791i | 0.0450721 | + | 0.255616i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.32180 | + | 1.10913i | 0.113763 | + | 0.0954583i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.894286 | − | 1.54895i | −0.0764040 | − | 0.132336i | 0.825292 | − | 0.564706i | \(-0.191011\pi\) |
−0.901696 | + | 0.432371i | \(0.857677\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.30310 | − | 6.96713i | 0.704260 | − | 0.590944i | −0.218722 | − | 0.975787i | \(-0.570189\pi\) |
0.922982 | + | 0.384843i | \(0.125744\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.0783989 | − | 0.444622i | 0.00660238 | − | 0.0374439i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.56717 | − | 8.88787i | 0.131053 | − | 0.743241i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.25927 | − | 1.55025i | 0.353713 | − | 0.128741i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.25424 | −0.433363 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.25888 | −0.185055 | −0.0925274 | − | 0.995710i | \(-0.529495\pi\) | ||||
−0.0925274 | + | 0.995710i | \(0.529495\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.96121 | + | 1.44176i | −0.322359 | + | 0.117329i | −0.498131 | − | 0.867102i | \(-0.665980\pi\) |
0.175772 | + | 0.984431i | \(0.443758\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.0202535 | + | 0.114863i | −0.00163740 | + | 0.00928615i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.64174 | − | 14.9820i | 0.212189 | − | 1.20339i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.56251 | − | 6.34570i | 0.603554 | − | 0.506442i | −0.289032 | − | 0.957319i | \(-0.593333\pi\) |
0.892586 | + | 0.450878i | \(0.148889\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 1.57124 | + | 2.72147i | 0.124607 | + | 0.215826i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.33733 | − | 1.12215i | −0.105396 | − | 0.0884378i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.85399 | − | 10.5145i | −0.145215 | − | 0.823557i | −0.967194 | − | 0.254039i | \(-0.918241\pi\) |
0.821979 | − | 0.569518i | \(-0.192870\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −5.43152 | + | 4.55759i | −0.422844 | + | 0.354808i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −18.2433 | + | 6.64001i | −1.41171 | + | 0.513819i | −0.931630 | − | 0.363407i | \(-0.881613\pi\) |
−0.480077 | + | 0.877227i | \(0.659391\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.41979 | − | 8.05205i | −0.109215 | − | 0.619388i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.13277 | − | 1.96201i | 0.0866250 | − | 0.150039i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.93094 | − | 1.06677i | −0.222835 | − | 0.0811053i | 0.228190 | − | 0.973617i | \(-0.426719\pi\) |
−0.451025 | + | 0.892511i | \(0.648941\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.33625 | + | 2.31445i | −0.101011 | + | 0.174956i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.10509 | − | 3.64613i | −0.158228 | − | 0.274060i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −17.4099 | −1.30128 | −0.650640 | − | 0.759386i | \(-0.725499\pi\) | ||||
−0.650640 | + | 0.759386i | \(0.725499\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −15.2950 | − | 12.8340i | −1.13687 | − | 0.953944i | −0.137534 | − | 0.990497i | \(-0.543918\pi\) |
−0.999332 | + | 0.0365535i | \(0.988362\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −6.33090 | − | 2.30426i | −0.467994 | − | 0.170336i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −8.43264 | + | 6.24913i | −0.619980 | + | 0.459445i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.450371 | − | 0.163922i | −0.0329344 | − | 0.0119871i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.01215 | − | 0.849296i | −0.0736232 | − | 0.0617772i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.947123 | 0.0685314 | 0.0342657 | − | 0.999413i | \(-0.489091\pi\) | ||||
0.0342657 | + | 0.999413i | \(0.489091\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.09396 | − | 3.62685i | −0.150727 | − | 0.261066i | 0.780768 | − | 0.624821i | \(-0.214828\pi\) |
−0.931495 | + | 0.363755i | \(0.881495\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.89485 | − | 3.28198i | 0.135693 | − | 0.235027i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −7.84977 | − | 2.85708i | −0.559273 | − | 0.203559i | 0.0468887 | − | 0.998900i | \(-0.485069\pi\) |
−0.606162 | + | 0.795341i | \(0.707292\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.89347 | − | 3.27958i | 0.134224 | − | 0.232483i | −0.791077 | − | 0.611717i | \(-0.790479\pi\) |
0.925301 | + | 0.379234i | \(0.123812\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0.0600486 | + | 0.340552i | 0.00423550 | + | 0.0240207i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −3.26147 | + | 1.18708i | −0.228910 | + | 0.0833166i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.41073 | − | 3.70104i | 0.308059 | − | 0.258492i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.229436 | + | 1.30120i | 0.0159469 | + | 0.0904395i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 7.13148 | + | 5.98402i | 0.493295 | + | 0.413924i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.52207 | + | 4.36836i | 0.173627 | + | 0.300730i | 0.939685 | − | 0.342041i | \(-0.111118\pi\) |
−0.766058 | + | 0.642771i | \(0.777785\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.61754 | − | 3.03547i | 0.247870 | − | 0.207987i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.34902 | − | 18.9933i | 0.228401 | − | 1.29533i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.02287 | + | 11.4723i | −0.137321 | + | 0.778788i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −7.47473 | + | 2.72058i | −0.505095 | + | 0.183840i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.256166 | 0.0172316 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.90712 | −0.529500 | −0.264750 | − | 0.964317i | \(-0.585289\pi\) | ||||
−0.264750 | + | 0.964317i | \(0.585289\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.90069 | − | 0.691796i | 0.126713 | − | 0.0461197i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.31879 | + | 18.8218i | −0.220276 | + | 1.24924i | 0.651238 | + | 0.758874i | \(0.274250\pi\) |
−0.871514 | + | 0.490371i | \(0.836861\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.17801 | − | 12.3521i | 0.143927 | − | 0.816249i | −0.824296 | − | 0.566159i | \(-0.808429\pi\) |
0.968223 | − | 0.250090i | \(-0.0804601\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.15911 | − | 3.48991i | 0.273649 | − | 0.229619i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.7159 | + | 20.2925i | 0.767533 | + | 1.32941i | 0.938897 | + | 0.344199i | \(0.111849\pi\) |
−0.171363 | + | 0.985208i | \(0.554817\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.596770 | + | 0.500749i | 0.0389290 | + | 0.0326653i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.14462 | − | 12.1627i | −0.139308 | − | 0.790055i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −11.1055 | + | 9.31864i | −0.718356 | + | 0.602772i | −0.926930 | − | 0.375234i | \(-0.877562\pi\) |
0.208574 | + | 0.978007i | \(0.433118\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 8.71467 | − | 3.17188i | 0.561362 | − | 0.204319i | −0.0457258 | − | 0.998954i | \(-0.514560\pi\) |
0.607087 | + | 0.794635i | \(0.292338\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.173648 | + | 0.984808i | 0.0111395 | + | 0.0631754i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.53308 | − | 7.85152i | 0.289608 | − | 0.501615i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.67572 | − | 1.70182i | −0.297509 | − | 0.108284i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −2.68495 | + | 4.65047i | −0.170152 | + | 0.294712i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.14309 | + | 5.44400i | 0.198390 | + | 0.343622i | 0.948007 | − | 0.318250i | \(-0.103095\pi\) |
−0.749616 | + | 0.661873i | \(0.769762\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.42933 | −0.341339 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.154169 | − | 0.129363i | −0.00965444 | − | 0.00810104i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.26148 | + | 0.459141i | 0.0786890 | + | 0.0286405i | 0.381065 | − | 0.924548i | \(-0.375558\pi\) |
−0.302376 | + | 0.953189i | \(0.597780\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 6.45717 | − | 4.78518i | 0.401229 | − | 0.297337i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.46844 | + | 0.898437i | 0.152792 | + | 0.0556119i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −16.9228 | − | 14.2000i | −1.04351 | − | 0.875607i | −0.0511116 | − | 0.998693i | \(-0.516276\pi\) |
−0.992396 | + | 0.123086i | \(0.960721\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.42232 | −0.333091 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.32517 | − | 4.02731i | −0.142298 | − | 0.246467i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −7.49412 | + | 12.9802i | −0.456924 | + | 0.791416i | −0.998797 | − | 0.0490446i | \(-0.984382\pi\) |
0.541872 | + | 0.840461i | \(0.317716\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.85771 | + | 2.49600i | 0.416576 | + | 0.151621i | 0.541801 | − | 0.840507i | \(-0.317743\pi\) |
−0.125224 | + | 0.992128i | \(0.539965\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1.45095 | + | 2.51312i | −0.0878157 | + | 0.152101i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.44328 | + | 8.18526i | 0.0870332 | + | 0.493590i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.20885 | − | 3.35175i | 0.553306 | − | 0.201387i | −0.0502086 | − | 0.998739i | \(-0.515989\pi\) |
0.603515 | + | 0.797352i | \(0.293766\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.75398 | − | 5.66726i | 0.404350 | − | 0.339290i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 4.98867 | + | 28.2922i | 0.297599 | + | 1.68777i | 0.656446 | + | 0.754373i | \(0.272059\pi\) |
−0.358847 | + | 0.933396i | \(0.616830\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.96280 | + | 6.68158i | 0.473339 | + | 0.397179i | 0.848011 | − | 0.529979i | \(-0.177800\pi\) |
−0.374672 | + | 0.927158i | \(0.622245\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.95458 | + | 3.38544i | 0.115780 | + | 0.200536i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −3.37745 | + | 2.83402i | −0.199365 | + | 0.167287i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.94966 | + | 16.7283i | −0.173509 | + | 0.984020i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.108077 | + | 0.612936i | −0.00633559 | + | 0.0359309i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 21.0586 | − | 7.66469i | 1.23025 | − | 0.447776i | 0.356569 | − | 0.934269i | \(-0.383946\pi\) |
0.873684 | + | 0.486493i | \(0.161724\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.26464 | 0.422964 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.10918 | −0.238439 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 2.72690 | − | 0.992510i | 0.157701 | − | 0.0573984i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.56446 | + | 14.5438i | −0.147813 | + | 0.838291i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.83009 | + | 10.3790i | −0.105136 | + | 0.596256i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 8.90526 | − | 7.47240i | 0.509914 | − | 0.427869i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −8.54679 | − | 14.8035i | −0.487791 | − | 0.844879i | 0.512111 | − | 0.858920i | \(-0.328864\pi\) |
−0.999901 | + | 0.0140410i | \(0.995530\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −10.3866 | − | 8.71539i | −0.590873 | − | 0.495801i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1.00877 | − | 5.72104i | −0.0572023 | − | 0.324411i | 0.942757 | − | 0.333482i | \(-0.108224\pi\) |
−0.999959 | + | 0.00907131i | \(0.997112\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −19.7552 | + | 16.5765i | −1.11663 | + | 0.936962i | −0.998429 | − | 0.0560284i | \(-0.982156\pi\) |
−0.118198 | + | 0.992990i | \(0.537712\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.14235 | − | 0.779752i | 0.120708 | − | 0.0439341i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.87560 | − | 10.6370i | −0.105344 | − | 0.597436i | −0.991082 | − | 0.133251i | \(-0.957458\pi\) |
0.885738 | − | 0.464185i | \(-0.153653\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.39710 | + | 9.34806i | −0.302180 | + | 0.523391i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.0734 | + | 4.39435i | 0.673870 | + | 0.245269i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.132121 | + | 0.228840i | −0.00735140 | + | 0.0127330i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.22120 | − | 3.84723i | −0.123210 | − | 0.213406i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 13.2358 | 0.731940 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.456968 | − | 0.383441i | −0.0251934 | − | 0.0211398i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.51133 | − | 0.550078i | −0.0830700 | − | 0.0302350i | 0.300151 | − | 0.953892i | \(-0.402963\pi\) |
−0.383221 | + | 0.923657i | \(0.625185\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −6.07168 | − | 0.367014i | −0.332726 | − | 0.0201123i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.560701 | − | 0.204078i | −0.0306344 | − | 0.0111500i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −12.1072 | − | 10.1592i | −0.659523 | − | 0.553406i | 0.250421 | − | 0.968137i | \(-0.419431\pi\) |
−0.909944 | + | 0.414731i | \(0.863876\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 5.61104 | 0.304750 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 18.1147 | + | 31.3755i | 0.980965 | + | 1.69908i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.09559 | + | 14.0220i | −0.437121 | + | 0.757115i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −2.14235 | − | 0.779752i | −0.115340 | − | 0.0419804i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 11.8430 | − | 20.5127i | 0.635765 | − | 1.10118i | −0.350587 | − | 0.936530i | \(-0.614018\pi\) |
0.986352 | − | 0.164648i | \(-0.0526488\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.11356 | − | 11.9866i | −0.113136 | − | 0.641628i | −0.987656 | − | 0.156638i | \(-0.949934\pi\) |
0.874520 | − | 0.484990i | \(-0.161177\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.06385 | − | 0.751179i | 0.110160 | − | 0.0400950i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.0144717 | − | 0.0121432i | 0.000770253 | − | 0.000646319i | −0.642402 | − | 0.766368i | \(-0.722062\pi\) |
0.643173 | + | 0.765721i | \(0.277618\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.41495 | + | 8.02460i | 0.0750980 | + | 0.425902i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.118053 | + | 0.0990580i | 0.00624801 | + | 0.00524270i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −7.20966 | − | 12.4875i | −0.380511 | − | 0.659065i | 0.610624 | − | 0.791921i | \(-0.290919\pi\) |
−0.991135 | + | 0.132856i | \(0.957585\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.6230 | + | 8.91376i | −0.559105 | + | 0.469145i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 1.02198 | − | 5.79591i | 0.0536398 | − | 0.304206i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.38338 | − | 13.5168i | 0.124752 | − | 0.707502i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.78436 | + | 1.01342i | −0.145342 | + | 0.0529002i | −0.413667 | − | 0.910428i | \(-0.635752\pi\) |
0.268325 | + | 0.963329i | \(0.413530\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.33690 | 0.173712 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.15206 | 0.215564 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.6576 | − | 7.15478i | 1.01783 | − | 0.370460i | 0.221396 | − | 0.975184i | \(-0.428939\pi\) |
0.796435 | + | 0.604724i | \(0.206716\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.10419 | + | 11.9335i | −0.108660 | + | 0.616242i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.00184 | − | 5.68171i | 0.0515973 | − | 0.292623i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.29166 | − | 6.95753i | 0.425914 | − | 0.357384i | −0.404493 | − | 0.914541i | \(-0.632552\pi\) |
0.830407 | + | 0.557157i | \(0.188108\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.900832 | + | 1.56029i | 0.0461510 | + | 0.0799359i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.20712 | − | 1.85199i | −0.112778 | − | 0.0946323i | 0.584655 | − | 0.811282i | \(-0.301230\pi\) |
−0.697433 | + | 0.716650i | \(0.745675\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.62678 | + | 9.22595i | 0.0829086 | + | 0.470198i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 8.56227 | − | 7.18459i | 0.435244 | − | 0.365213i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 28.6362 | − | 10.4227i | 1.45191 | − | 0.528453i | 0.508788 | − | 0.860892i | \(-0.330094\pi\) |
0.943125 | + | 0.332438i | \(0.107871\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.0267604 | − | 0.151766i | −0.00135333 | − | 0.00767512i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 8.28477 | − | 14.3496i | 0.417911 | − | 0.723843i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 20.0253 | + | 7.28861i | 1.00758 | + | 0.366730i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.72198 | − | 16.8390i | 0.487932 | − | 0.845124i | −0.511971 | − | 0.859003i | \(-0.671085\pi\) |
0.999904 | + | 0.0138790i | \(0.00441795\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.49669 | − | 2.59235i | −0.0749284 | − | 0.129780i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 15.4608 | 0.772075 | 0.386037 | − | 0.922483i | \(-0.373844\pi\) | ||||
0.386037 | + | 0.922483i | \(0.373844\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.8338 | − | 12.4470i | −0.738923 | − | 0.620030i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.62143 | − | 0.590153i | −0.0805696 | − | 0.0293249i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.81767 | − | 24.3087i | 0.288371 | − | 1.20494i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 26.2675 | + | 9.56060i | 1.29885 | + | 0.472741i | 0.896621 | − | 0.442799i | \(-0.146015\pi\) |
0.402225 | + | 0.915541i | \(0.368237\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.37013 | + | 1.14967i | 0.0675833 | + | 0.0567091i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.56279 | −0.273727 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.63287 | − | 8.02436i | −0.227418 | − | 0.393900i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −5.41946 | + | 9.38679i | −0.265392 | + | 0.459673i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.4116 | − | 8.15716i | −1.09488 | − | 0.398503i | −0.269453 | − | 0.963014i | \(-0.586843\pi\) |
−0.825426 | + | 0.564510i | \(0.809065\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.32136 | + | 2.28867i | −0.0643993 | + | 0.111543i | −0.896427 | − | 0.443191i | \(-0.853846\pi\) |
0.832028 | + | 0.554734i | \(0.187180\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0.0783989 | + | 0.444622i | 0.00381188 | + | 0.0216183i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.221688 | + | 0.0806878i | −0.0107534 | + | 0.00391393i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.81907 | + | 5.72188i | −0.329998 | + | 0.276901i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.56717 | + | 8.88787i | 0.0756638 | + | 0.429111i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −10.0272 | − | 8.41384i | −0.482994 | − | 0.405280i | 0.368513 | − | 0.929622i | \(-0.379867\pi\) |
−0.851508 | + | 0.524342i | \(0.824311\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.3122 | + | 24.7895i | 0.687802 | + | 1.19131i | 0.972548 | + | 0.232704i | \(0.0747574\pi\) |
−0.284746 | + | 0.958603i | \(0.591909\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −3.47219 | + | 2.91351i | −0.166479 | + | 0.139692i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.519796 | + | 2.94791i | −0.0248652 | + | 0.141018i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.03670 | − | 28.5646i | 0.240389 | − | 1.36331i | −0.590574 | − | 0.806984i | \(-0.701099\pi\) |
0.830962 | − | 0.556328i | \(-0.187790\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 4.93737 | − | 1.79706i | 0.235113 | − | 0.0855742i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.67144 | 0.316970 | 0.158485 | − | 0.987361i | \(-0.449339\pi\) | ||||
0.158485 | + | 0.987361i | \(0.449339\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 8.02412 | 0.380380 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.12266 | − | 0.772583i | 0.100398 | − | 0.0365419i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −0.194744 | + | 1.10445i | −0.00919055 | + | 0.0521222i | −0.989058 | − | 0.147526i | \(-0.952869\pi\) |
0.979868 | + | 0.199648i | \(0.0639800\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.38105 | + | 13.5036i | −0.112119 | + | 0.635860i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.22921 | − | 2.70963i | 0.151721 | − | 0.127309i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −2.50361 | − | 4.33638i | −0.117371 | − | 0.203293i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.0171 | − | 12.6008i | −0.702470 | − | 0.589442i | 0.220005 | − | 0.975499i | \(-0.429393\pi\) |
−0.922475 | + | 0.386056i | \(0.873837\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.0202535 | − | 0.114863i | −0.000945353 | − | 0.00536136i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 8.94819 | − | 7.50842i | 0.416759 | − | 0.349702i | −0.410170 | − | 0.912009i | \(-0.634531\pi\) |
0.826929 | + | 0.562307i | \(0.190086\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.73037 | + | 2.08568i | −0.266313 | + | 0.0969300i | −0.471725 | − | 0.881746i | \(-0.656369\pi\) |
0.205412 | + | 0.978675i | \(0.434146\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 2.64174 | + | 14.9820i | 0.122508 | + | 0.694775i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −14.0011 | + | 24.2506i | −0.647894 | + | 1.12219i | 0.335731 | + | 0.941958i | \(0.391017\pi\) |
−0.983625 | + | 0.180228i | \(0.942317\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.429349 | + | 0.156270i | 0.0198255 | + | 0.00721588i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.93608 | + | 8.54954i | −0.227442 | + | 0.393942i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 22.9646 | + | 39.7759i | 1.05591 | + | 1.82890i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.58245 | 0.210257 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.40728 | − | 2.01995i | −0.110222 | − | 0.0924870i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 30.5019 | + | 11.1018i | 1.39367 | + | 0.507253i | 0.926292 | − | 0.376806i | \(-0.122978\pi\) |
0.467375 | + | 0.884059i | \(0.345200\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.52181 | + | 13.2726i | 0.0693886 | + | 0.605179i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.64047 | + | 0.597084i | 0.0746441 | + | 0.0271682i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.822679 | − | 0.690310i | −0.0373559 | − | 0.0313454i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 19.9414 | 0.903629 | 0.451814 | − | 0.892112i | \(-0.350777\pi\) | ||||
0.451814 | + | 0.892112i | \(0.350777\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.33834 | + | 9.24627i | 0.241408 | + | 0.418131i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13.8545 | + | 23.9968i | −0.625247 | + | 1.08296i | 0.363246 | + | 0.931693i | \(0.381668\pi\) |
−0.988493 | + | 0.151266i | \(0.951665\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.287907 | − | 0.104790i | −0.0129667 | − | 0.00471948i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.54518 | − | 6.14042i | 0.159344 | − | 0.275992i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.08348 | − | 6.14472i | −0.0486007 | − | 0.275628i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −38.2841 | + | 13.9343i | −1.71383 | + | 0.623783i | −0.997277 | − | 0.0737485i | \(-0.976504\pi\) |
−0.716554 | + | 0.697532i | \(0.754282\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 14.8721 | − | 12.4791i | 0.664434 | − | 0.557527i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −5.76646 | − | 32.7032i | −0.257114 | − | 1.45816i | −0.790588 | − | 0.612348i | \(-0.790225\pi\) |
0.533474 | − | 0.845816i | \(-0.320886\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −13.9306 | − | 11.6892i | −0.619903 | − | 0.520160i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 4.08813 | + | 7.08085i | 0.181560 | + | 0.314472i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −25.5121 | + | 21.4072i | −1.13081 | + | 0.948858i | −0.999099 | − | 0.0424304i | \(-0.986490\pi\) |
−0.131706 | + | 0.991289i | \(0.542045\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.82504 | + | 10.3503i | −0.0807349 | + | 0.457870i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.393406 | + | 2.23112i | −0.0173693 | + | 0.0985063i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 21.9846 | − | 8.00174i | 0.968757 | − | 0.352599i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.85522 | −0.0815923 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 3.11904 | 0.136911 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 17.5979 | − | 6.40512i | 0.770979 | − | 0.280614i | 0.0735734 | − | 0.997290i | \(-0.476560\pi\) |
0.697406 | + | 0.716676i | \(0.254337\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.06207 | + | 23.0372i | −0.177622 | + | 1.00734i | 0.757452 | + | 0.652891i | \(0.226444\pi\) |
−0.935074 | + | 0.354454i | \(0.884667\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.464075 | − | 2.63190i | 0.0202539 | − | 0.114866i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.787753 | + | 0.661003i | −0.0343151 | + | 0.0287938i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.6271 | + | 18.4067i | 0.462049 | + | 0.800292i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.22519 | + | 2.70625i | 0.139961 | + | 0.117441i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.27264 | − | 7.21750i | −0.0551241 | − | 0.312624i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16.9828 | + | 14.2503i | −0.734231 | + | 0.616093i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 16.3600 | − | 5.95455i | 0.705986 | − | 0.256958i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.74917 | + | 21.2626i | 0.161488 | + | 0.915845i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.2131 | + | 17.6896i | −0.439096 | + | 0.760536i | −0.997620 | − | 0.0689520i | \(-0.978034\pi\) |
0.558524 | + | 0.829488i | \(0.311368\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 18.7621 | + | 6.82883i | 0.805157 | + | 0.293053i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −11.4191 | + | 19.7785i | −0.489141 | + | 0.847217i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.18593 | − | 15.9105i | −0.392762 | − | 0.680284i | 0.600051 | − | 0.799962i | \(-0.295147\pi\) |
−0.992813 | + | 0.119678i | \(0.961814\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 6.73720 | 0.287537 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.55891 | + | 3.82538i | 0.194216 | + | 0.162967i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.3341 | − | 5.58115i | −0.652071 | − | 0.237335i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 5.78676 | − | 8.75640i | 0.245634 | − | 0.371688i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 6.75382 | + | 2.45819i | 0.286168 | + | 0.104157i | 0.481116 | − | 0.876657i | \(-0.340232\pi\) |
−0.194948 | + | 0.980814i | \(0.562454\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −18.8053 | − | 15.7795i | −0.795380 | − | 0.667403i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.479275 | 0.0202350 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 11.0507 | + | 19.1403i | 0.465730 | + | 0.806668i | 0.999234 | − | 0.0391294i | \(-0.0124585\pi\) |
−0.533504 | + | 0.845797i | \(0.679125\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.84091 | + | 8.38470i | −0.203658 | + | 0.352747i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.24159 | + | 0.451901i | 0.0521418 | + | 0.0189781i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 20.0403 | − | 34.7108i | 0.840133 | − | 1.45515i | −0.0496492 | − | 0.998767i | \(-0.515810\pi\) |
0.889782 | − | 0.456386i | \(-0.150856\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.27473 | − | 41.2571i | −0.304438 | − | 1.72655i | −0.626138 | − | 0.779712i | \(-0.715365\pi\) |
0.321700 | − | 0.946842i | \(-0.395746\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −0.890004 | + | 0.323935i | −0.0371805 | + | 0.0135326i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −2.04725 | + | 1.71785i | −0.0853764 | + | 0.0716393i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.96448 | − | 11.1411i | −0.0817825 | − | 0.463812i | −0.998005 | − | 0.0631410i | \(-0.979888\pi\) |
0.916222 | − | 0.400671i | \(-0.131223\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 3.20813 | + | 2.69194i | 0.133325 | + | 0.111873i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 3.54755 | + | 6.14453i | 0.147177 | + | 0.254918i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.89192 | − | 8.30031i | 0.409682 | − | 0.343764i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.658074 | + | 3.73213i | −0.0272080 | + | 0.154304i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 1.07120 | − | 6.07508i | 0.0442132 | − | 0.250745i | −0.954688 | − | 0.297608i | \(-0.903811\pi\) |
0.998901 | + | 0.0468626i | \(0.0149223\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 18.7699 | − | 6.83170i | 0.773402 | − | 0.281495i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.35355 | 0.343619 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 29.0674 | 1.19366 | 0.596828 | − | 0.802369i | \(-0.296428\pi\) | ||||
0.596828 | + | 0.802369i | \(0.296428\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.249874 | + | 0.0909466i | −0.0102438 | + | 0.00372845i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.657594 | + | 3.72940i | −0.0269135 | + | 0.152634i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 2.26594 | − | 12.8508i | 0.0925836 | − | 0.525068i | −0.902877 | − | 0.429898i | \(-0.858550\pi\) |
0.995461 | − | 0.0951697i | \(-0.0303394\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.616815 | + | 0.517569i | −0.0251604 | + | 0.0211121i | −0.655281 | − | 0.755385i | \(-0.727450\pi\) |
0.630121 | + | 0.776497i | \(0.283005\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.172903 | − | 0.299477i | −0.00704115 | − | 0.0121956i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 7.77924 | + | 6.52756i | 0.316271 | + | 0.265383i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −1.84267 | − | 10.4503i | −0.0747916 | − | 0.424164i | −0.999096 | − | 0.0425085i | \(-0.986465\pi\) |
0.924304 | − | 0.381656i | \(-0.124646\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2.65878 | − | 2.23098i | 0.107739 | − | 0.0904038i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.931788 | − | 0.339143i | 0.0376961 | − | 0.0137203i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.34859 | + | 7.64824i | 0.0544691 | + | 0.308909i | 0.999855 | − | 0.0170445i | \(-0.00542569\pi\) |
−0.945386 | + | 0.325954i | \(0.894315\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.87890 | + | 4.98640i | −0.116088 | + | 0.201071i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −27.9451 | − | 10.1712i | −1.12503 | − | 0.409476i | −0.288542 | − | 0.957467i | \(-0.593171\pi\) |
−0.836484 | + | 0.547991i | \(0.815393\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.51963 | + | 4.36414i | −0.101273 | + | 0.175409i | −0.912209 | − | 0.409725i | \(-0.865625\pi\) |
0.810937 | + | 0.585134i | \(0.198958\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.660635 | − | 1.14425i | −0.0265104 | − | 0.0459173i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −6.14435 | −0.246168 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.26976 | − | 6.93915i | −0.330791 | − | 0.277566i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −8.74806 | − | 3.18403i | −0.349364 | − | 0.127158i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 0.708172 | + | 0.0428068i | 0.0282367 | + | 0.00170682i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 40.4556 | + | 14.7246i | 1.61051 | + | 0.586178i | 0.981541 | − | 0.191252i | \(-0.0612547\pi\) |
0.628970 | + | 0.777430i | \(0.283477\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −3.86404 | − | 3.24232i | −0.153582 | − | 0.128870i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −3.10876 | −0.123367 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.76995 | − | 9.99384i | −0.228614 | − | 0.395970i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.36118 | + | 4.08968i | −0.0934068 | + | 0.161785i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13.0344 | + | 4.74413i | 0.514827 | + | 0.187382i | 0.586351 | − | 0.810057i | \(-0.300564\pi\) |
−0.0715239 | + | 0.997439i | \(0.522786\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.47589 | − | 9.48452i | 0.215948 | − | 0.374033i | −0.737617 | − | 0.675219i | \(-0.764049\pi\) |
0.953565 | + | 0.301186i | \(0.0973825\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.34902 | + | 18.9933i | 0.131868 | + | 0.747859i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 43.1495 | − | 15.7051i | 1.69638 | − | 0.617433i | 0.700978 | − | 0.713183i | \(-0.252747\pi\) |
0.995405 | + | 0.0957499i | \(0.0305249\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −13.2529 | + | 11.1205i | −0.520220 | + | 0.436517i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.02287 | − | 11.4723i | −0.0792825 | − | 0.449633i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −29.9648 | − | 25.1435i | −1.17261 | − | 0.983941i | −0.172615 | − | 0.984989i | \(-0.555222\pi\) |
−0.999999 | + | 0.00104881i | \(0.999666\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 14.2953 | + | 24.7602i | 0.558564 | + | 0.967461i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 6.09345 | − | 5.11302i | 0.237728 | − | 0.199478i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 0.849174 | − | 4.81591i | 0.0330791 | − | 0.187601i | −0.963791 | − | 0.266659i | \(-0.914080\pi\) |
0.996870 | + | 0.0790582i | \(0.0251913\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.46228 | + | 8.29299i | −0.0568760 | + | 0.322560i | −0.999950 | − | 0.0100238i | \(-0.996809\pi\) |
0.943074 | + | 0.332584i | \(0.107920\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.240717 | + | 0.0876140i | −0.00934869 | + | 0.00340265i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 5.16507 | 0.200293 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.47079 | −0.134389 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 7.43026 | − | 2.70439i | 0.287270 | − | 0.104558i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −4.80734 | + | 27.2638i | −0.185585 | + | 1.05251i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.203007 | − | 1.15131i | 0.00782533 | − | 0.0443796i | −0.980645 | − | 0.195794i | \(-0.937272\pi\) |
0.988470 | + | 0.151414i | \(0.0483827\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.54946 | + | 1.30015i | −0.0596387 | + | 0.0500428i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15.3875 | − | 26.6519i | −0.591389 | − | 1.02432i | −0.994046 | − | 0.108964i | \(-0.965247\pi\) |
0.402657 | − | 0.915351i | \(-0.368087\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.629955 | + | 0.528595i | 0.0241754 | + | 0.0202856i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.31879 | − | 18.8218i | −0.127176 | − | 0.721252i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.0292 | − | 8.41549i | 0.383756 | − | 0.322010i | −0.430419 | − | 0.902629i | \(-0.641634\pi\) |
0.814175 | + | 0.580620i | \(0.197190\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.90005 | + | 1.05553i | −0.110805 | + | 0.0403298i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2.17801 | + | 12.3521i | 0.0830961 | + | 0.471261i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.45091 | + | 5.97715i | −0.131469 | + | 0.227711i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −27.5289 | − | 10.0197i | −1.04725 | − | 0.381167i | −0.239624 | − | 0.970866i | \(-0.577024\pi\) |
−0.807623 | + | 0.589699i | \(0.799246\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −2.71467 | + | 4.70194i | −0.103122 | + | 0.178612i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −9.35124 | − | 16.1968i | −0.354713 | − | 0.614381i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.389201 | −0.0147420 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −17.9498 | − | 15.0617i | −0.678923 | − | 0.569684i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 7.52915 | + | 2.74039i | 0.284372 | + | 0.103503i | 0.480268 | − | 0.877122i | \(-0.340539\pi\) |
−0.195896 | + | 0.980625i | \(0.562762\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.6417 | − | 5.48604i | −0.476789 | − | 0.206910i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.732046 | − | 0.266443i | −0.0275705 | − | 0.0100348i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 10.6671 | + | 8.95080i | 0.401179 | + | 0.336629i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −39.7253 | −1.49191 | −0.745957 | − | 0.665995i | \(-0.768007\pi\) | ||||
−0.745957 | + | 0.665995i | \(0.768007\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.17519 | + | 10.6957i | 0.231588 | + | 0.401122i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −5.82462 | + | 10.0885i | −0.218134 | + | 0.377819i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.6334 | − | 5.32612i | −0.547258 | − | 0.199186i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 7.24861 | − | 12.5550i | 0.270704 | − | 0.468874i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.61693 | + | 14.8414i | 0.0975951 | + | 0.553489i | 0.993921 | + | 0.110094i | \(0.0351151\pi\) |
−0.896326 | + | 0.443395i | \(0.853774\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.8344 | + | 6.12721i | −0.626945 | + | 0.228189i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −7.10427 | + | 5.96119i | −0.264211 | + | 0.221699i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.922640 | + | 5.23255i | 0.0342660 | + | 0.194332i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −32.8940 | − | 27.6014i | −1.21997 | − | 1.02368i | −0.998826 | − | 0.0484376i | \(-0.984576\pi\) |
−0.221146 | − | 0.975241i | \(-0.570980\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.998663 | + | 0.837978i | −0.0369369 | + | 0.0309937i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.62583 | + | 20.5631i | −0.133923 | + | 0.759516i | 0.841680 | + | 0.539976i | \(0.181567\pi\) |
−0.975604 | + | 0.219540i | \(0.929544\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.57432 | + | 8.92842i | −0.0580697 | + | 0.329330i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.33528 | − | 0.486003i | 0.0491857 | − | 0.0179021i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.26691 | −0.0833898 | −0.0416949 | − | 0.999130i | \(-0.513276\pi\) | ||||
−0.0416949 | + | 0.999130i | \(0.513276\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 4.97580 | 0.182791 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −28.8861 | + | 10.5137i | −1.05973 | + | 0.385709i | −0.812326 | − | 0.583204i | \(-0.801799\pi\) |
−0.247401 | + | 0.968913i | \(0.579576\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.676826 | + | 3.83847i | −0.0247970 | + | 0.140631i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.932474 | − | 5.28832i | 0.0341174 | − | 0.193490i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 13.0043 | − | 10.9119i | 0.475168 | − | 0.398714i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.872984 | − | 1.51205i | −0.0318557 | − | 0.0551756i | 0.849658 | − | 0.527334i | \(-0.176808\pi\) |
−0.881514 | + | 0.472158i | \(0.843475\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −4.81550 | − | 4.04068i | −0.175487 | − | 0.147251i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 1.26306 | + | 7.16319i | 0.0459676 | + | 0.260695i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −32.4685 | + | 27.2443i | −1.18009 | + | 0.990211i | −0.180109 | + | 0.983647i | \(0.557645\pi\) |
−0.999978 | + | 0.00656434i | \(0.997910\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 5.10190 | − | 1.85694i | 0.185187 | − | 0.0674027i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 2.37063 | + | 13.4445i | 0.0859352 | + | 0.487363i | 0.997151 | + | 0.0754331i | \(0.0240339\pi\) |
−0.911216 | + | 0.411930i | \(0.864855\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.74402 | − | 15.1451i | 0.316555 | − | 0.548289i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.189116 | + | 0.0688327i | 0.00683752 | + | 0.00248865i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 4.62341 | − | 8.00799i | 0.166942 | − | 0.289152i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.5476 | − | 25.1971i | −0.524599 | − | 0.908632i | −0.999590 | − | 0.0286411i | \(-0.990882\pi\) |
0.474991 | − | 0.879991i | \(-0.342451\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.34244 | −0.0483468 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −26.6215 | − | 22.3381i | −0.957508 | − | 0.803445i | 0.0230375 | − | 0.999735i | \(-0.492666\pi\) |
−0.980546 | + | 0.196290i | \(0.937111\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 16.7578 | + | 6.09935i | 0.601959 | + | 0.219095i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.43112 | + | 6.70508i | −0.158966 | + | 0.240543i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 7.10396 | + | 2.58563i | 0.254526 | + | 0.0926398i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.8651 | − | 12.4733i | −0.531915 | − | 0.446330i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.62686 | −0.0938761 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.51716 | − | 14.7522i | −0.303991 | − | 0.526527i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −27.1762 | + | 47.0706i | −0.968727 | + | 1.67788i | −0.269478 | + | 0.963006i | \(0.586851\pi\) |
−0.699249 | + | 0.714878i | \(0.746482\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 20.7589 | + | 7.55564i | 0.739038 | + | 0.268988i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 3.70685 | − | 6.42046i | 0.131801 | − | 0.228285i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.56946 | − | 14.5721i | −0.0912442 | − | 0.517471i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 5.09532 | − | 1.85454i | 0.180712 | − | 0.0657739i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −27.6107 | + | 23.1681i | −0.978020 | + | 0.820656i | −0.983790 | − | 0.179327i | \(-0.942608\pi\) |
0.00576940 | + | 0.999983i | \(0.498164\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.00914408 | − | 0.0518587i | −0.000323494 | − | 0.00183463i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.56237 | + | 2.98918i | 0.125870 | + | 0.105617i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 16.3431 | + | 28.3071i | 0.576735 | + | 0.998935i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −2.30755 | + | 1.93626i | −0.0813303 | + | 0.0682443i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 2.60268 | − | 14.7605i | 0.0916187 | − | 0.519595i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 4.36074 | − | 24.7310i | 0.153316 | − | 0.869495i | −0.806994 | − | 0.590559i | \(-0.798907\pi\) |
0.960310 | − | 0.278936i | \(-0.0899818\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 41.1701 | − | 14.9847i | 1.44568 | − | 0.526184i | 0.504298 | − | 0.863530i | \(-0.331751\pi\) |
0.941381 | + | 0.337346i | \(0.109529\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.29782 | −0.255946 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −18.4225 | −0.645313 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 23.7953 | − | 8.66079i | 0.832493 | − | 0.303003i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.503911 | − | 2.85782i | 0.0176081 | − | 0.0998603i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.71030 | − | 38.0560i | 0.234191 | − | 1.32816i | −0.610120 | − | 0.792309i | \(-0.708879\pi\) |
0.844311 | − | 0.535854i | \(-0.180010\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.00590 | − | 7.55685i | 0.313926 | − | 0.263415i | −0.472186 | − | 0.881499i | \(-0.656535\pi\) |
0.786112 | + | 0.618083i | \(0.212091\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.15576 | − | 7.19799i | −0.144685 | − | 0.250602i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 32.7708 | + | 27.4980i | 1.13955 | + | 0.956199i | 0.999424 | − | 0.0339346i | \(-0.0108038\pi\) |
0.140129 | + | 0.990133i | \(0.455248\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.84201 | − | 21.7891i | −0.133439 | − | 0.756767i | −0.975934 | − | 0.218065i | \(-0.930026\pi\) |
0.842496 | − | 0.538703i | \(-0.181085\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −7.50712 | + | 6.29923i | −0.260419 | + | 0.218518i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −0.575872 | + | 0.209600i | −0.0199528 | + | 0.00726222i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.81702 | + | 32.9899i | 0.201306 | + | 1.14166i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −4.40835 | + | 7.63548i | −0.152375 | + | 0.263921i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 15.8165 | + | 5.75673i | 0.546046 | + | 0.198744i | 0.600289 | − | 0.799783i | \(-0.295052\pi\) |
−0.0542429 | + | 0.998528i | \(0.517275\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.0498 | − | 19.1388i | 0.381028 | − | 0.659960i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −14.3643 | − | 24.8797i | −0.494733 | − | 0.856903i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −14.1081 | −0.485333 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.95684 | − | 4.99838i | −0.204679 | − | 0.171746i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −9.76782 | − | 3.55519i | −0.335231 | − | 0.122014i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 7.70438 | − | 2.28812i | 0.264103 | − | 0.0784357i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.1086 | + | 5.49907i | 0.517308 | + | 0.188285i | 0.587462 | − | 0.809252i | \(-0.300127\pi\) |
−0.0701547 | + | 0.997536i | \(0.522349\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.99460 | − | 2.51276i | −0.102413 | − | 0.0859347i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −30.3418 | −1.03646 | −0.518228 | − | 0.855242i | \(-0.673408\pi\) | ||||
−0.518228 | + | 0.855242i | \(0.673408\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.3147 | − | 43.8463i | −0.863725 | − | 1.49602i | −0.868308 | − | 0.496026i | \(-0.834792\pi\) |
0.00458253 | − | 0.999990i | \(-0.498541\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 2.20447 | − | 3.81826i | 0.0751283 | − | 0.130126i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −50.3101 | − | 18.3114i | −1.71258 | − | 0.623327i | −0.715421 | − | 0.698694i | \(-0.753765\pi\) |
−0.997156 | + | 0.0753673i | \(0.975987\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −2.69094 | + | 4.66084i | −0.0914946 | + | 0.158473i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −2.94966 | − | 16.7283i | −0.100176 | − | 0.568124i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −47.6893 | + | 17.3575i | −1.61775 | + | 0.588812i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.581806 | + | 0.488193i | −0.0197137 | + | 0.0165418i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −0.108077 | − | 0.612936i | −0.00365786 | − | 0.0207447i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 12.2648 | + | 10.2914i | 0.414627 | + | 0.347913i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −20.8310 | − | 36.0804i | −0.703415 | − | 1.21835i | −0.967261 | − | 0.253785i | \(-0.918324\pi\) |
0.263846 | − | 0.964565i | \(-0.415009\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −17.1671 | + | 14.4049i | −0.579032 | + | 0.485865i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.58483 | − | 26.0018i | 0.154467 | − | 0.876024i | −0.804805 | − | 0.593539i | \(-0.797730\pi\) |
0.959272 | − | 0.282485i | \(-0.0911588\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.19102 | + | 6.75459i | −0.0400809 | + | 0.227310i | −0.998268 | − | 0.0588328i | \(-0.981262\pi\) |
0.958187 | + | 0.286143i | \(0.0923732\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.82653 | + | 2.48465i | −0.229471 | + | 0.0835207i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −5.93737 | −0.199357 | −0.0996786 | − | 0.995020i | \(-0.531781\pi\) | ||||
−0.0996786 | + | 0.995020i | \(0.531781\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.38048 | 0.0798389 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.86136 | − | 1.40542i | 0.129360 | − | 0.0470834i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.177616 | + | 1.00731i | −0.00594368 | + | 0.0337083i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.21652 | + | 29.5844i | −0.174369 | + | 0.988896i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.22299 | + | 1.86531i | −0.0742235 | + | 0.0622809i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 11.5801 | + | 20.0573i | 0.386218 | + | 0.668949i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.280774 | + | 0.235597i | 0.00935392 | + | 0.00784887i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2.56446 | − | 14.5438i | −0.0853400 | − | 0.483987i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −26.3913 | + | 22.1450i | −0.877278 | + | 0.736124i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −36.5607 | + | 13.3070i | −1.21398 | + | 0.441852i | −0.868082 | − | 0.496421i | \(-0.834647\pi\) |
−0.345896 | + | 0.938273i | \(0.612425\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −1.83009 | − | 10.3790i | −0.0607003 | − | 0.344248i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −3.30211 | + | 5.71943i | −0.109404 | + | 0.189493i | −0.915529 | − | 0.402252i | \(-0.868228\pi\) |
0.806125 | + | 0.591745i | \(0.201561\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 20.7351 | + | 7.54697i | 0.686233 | + | 0.249768i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −5.81250 | + | 10.0675i | −0.192155 | + | 0.332823i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −10.9464 | − | 18.9598i | −0.361483 | − | 0.626106i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.95527 | 0.262420 | 0.131210 | − | 0.991355i | \(-0.458114\pi\) | ||||
0.131210 | + | 0.991355i | \(0.458114\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 13.0944 | + | 10.9875i | 0.431476 | + | 0.362052i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 9.74623 | + | 3.54734i | 0.320801 | + | 0.116762i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.49762 | − | 11.0069i | −0.180761 | − | 0.361904i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 12.7411 | + | 4.63736i | 0.418471 | + | 0.152311i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −45.3279 | − | 38.0346i | −1.48716 | − | 1.24788i | −0.898104 | − | 0.439783i | \(-0.855055\pi\) |
−0.589056 | − | 0.808092i | \(-0.700500\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 11.9037 | 0.390128 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 2.90465 | + | 5.03100i | 0.0950939 | + | 0.164708i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.413493 | + | 0.716190i | −0.0135227 | + | 0.0234219i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −47.3410 | − | 17.2307i | −1.54656 | − | 0.562902i | −0.578954 | − | 0.815360i | \(-0.696539\pi\) |
−0.967608 | + | 0.252458i | \(0.918761\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 12.8943 | − | 22.3335i | 0.420788 | − | 0.728827i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 9.38110 | + | 53.2028i | 0.305815 | + | 1.73436i | 0.619644 | + | 0.784883i | \(0.287277\pi\) |
−0.313829 | + | 0.949480i | \(0.601612\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.14306 | + | 1.50795i | −0.134917 | + | 0.0491056i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −1.74646 | + | 1.46545i | −0.0568124 | + | 0.0476712i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 5.71193 | + | 32.3940i | 0.185613 | + | 1.05266i | 0.925166 | + | 0.379564i | \(0.123926\pi\) |
−0.739553 | + | 0.673099i | \(0.764963\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.3831 | − | 11.2297i | −0.434432 | − | 0.364532i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.40057 | + | 9.35406i | 0.175125 | + | 0.303326i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −23.9107 | + | 20.0634i | −0.774542 | + | 0.649918i | −0.941868 | − | 0.335983i | \(-0.890931\pi\) |
0.167325 | + | 0.985902i | \(0.446487\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.283785 | − | 1.60943i | 0.00918307 | − | 0.0520798i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 1.87439 | − | 10.6302i | 0.0605906 | − | 0.343626i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 2.22067 | − | 0.808258i | 0.0717092 | − | 0.0261000i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 46.7342 | 1.50755 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −12.8482 | −0.414028 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −6.79043 | + | 2.47151i | −0.218592 | + | 0.0795609i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −2.18897 | + | 12.4143i | −0.0703925 | + | 0.399216i | 0.929170 | + | 0.369652i | \(0.120523\pi\) |
−0.999563 | + | 0.0295641i | \(0.990588\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.0458851 | − | 0.260227i | 0.00147404 | − | 0.00835970i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 44.1545 | − | 37.0500i | 1.41699 | − | 1.18899i | 0.464053 | − | 0.885807i | \(-0.346395\pi\) |
0.952932 | − | 0.303185i | \(-0.0980499\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.16058 | + | 12.4025i | 0.229558 | + | 0.397605i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 3.40308 | + | 2.85552i | 0.108986 | + | 0.0914499i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −9.60387 | − | 54.4662i | −0.307255 | − | 1.74253i | −0.612696 | − | 0.790318i | \(-0.709915\pi\) |
0.305442 | − | 0.952211i | \(-0.401196\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.6384 | + | 12.2831i | −0.467845 | + | 0.392568i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.4376 | + | 4.52690i | −0.397101 | + | 0.144533i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −0.184012 | − | 1.04358i | −0.00586907 | − | 0.0332851i | 0.981733 | − | 0.190266i | \(-0.0609350\pi\) |
−0.987602 | + | 0.156981i | \(0.949824\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.20700 | + | 12.4829i | −0.229634 | + | 0.397738i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.560554 | + | 0.204025i | 0.0178426 | + | 0.00649418i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −7.38408 | + | 12.7896i | −0.234800 | + | 0.406686i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 14.6060 | + | 25.2983i | 0.463975 | + | 0.803629i | 0.999155 | − | 0.0411098i | \(-0.0130894\pi\) |
−0.535179 | + | 0.844738i | \(0.679756\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 1.60832 | 0.0510385 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −5.00558 | − | 4.20018i | −0.158688 | − | 0.133155i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −48.1974 | − | 17.5424i | −1.52643 | − | 0.555574i | −0.563684 | − | 0.825990i | \(-0.690617\pi\) |
−0.962744 | + | 0.270416i | \(0.912839\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 5.83104 | − | 1.73176i | 0.184486 | − | 0.0547903i |
(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 | 888.2.bo.c.793.4 | yes | 24 | |
37.7 | even | 9 | inner | 888.2.bo.c.673.4 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
888.2.bo.c.673.4 | ✓ | 24 | 37.7 | even | 9 | inner | |
888.2.bo.c.793.4 | yes | 24 | 1.1 | even | 1 | trivial |