Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 97.9 | ||
Character | \(\chi\) | \(=\) | 864.97 |
Dual form | 864.2.y.c.481.9 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 1.68626 | + | 0.395655i | 0.973560 | + | 0.228432i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.65901 | − | 0.967801i | −1.18915 | − | 0.432814i | −0.329722 | − | 0.944078i | \(-0.606955\pi\) |
−0.859424 | + | 0.511264i | \(0.829177\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.872194 | − | 4.94646i | 0.329658 | − | 1.86959i | −0.145024 | − | 0.989428i | \(-0.546326\pi\) |
0.474683 | − | 0.880157i | \(-0.342563\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.68691 | + | 1.33435i | 0.895638 | + | 0.444784i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.78983 | + | 1.74335i | −1.44419 | + | 0.525641i | −0.940961 | − | 0.338514i | \(-0.890076\pi\) |
−0.503226 | + | 0.864155i | \(0.667854\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.62758 | + | 1.36570i | −0.451410 | + | 0.378778i | −0.839959 | − | 0.542650i | \(-0.817421\pi\) |
0.388549 | + | 0.921428i | \(0.372977\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.10086 | − | 2.68401i | −1.05884 | − | 0.693009i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.73689 | − | 4.74043i | −0.663793 | − | 1.14972i | −0.979611 | − | 0.200903i | \(-0.935612\pi\) |
0.315818 | − | 0.948820i | \(-0.397721\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.0248312 | + | 0.0430090i | −0.00569667 | + | 0.00986693i | −0.868860 | − | 0.495058i | \(-0.835147\pi\) |
0.863163 | + | 0.504925i | \(0.168480\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.42783 | − | 7.99590i | 0.748015 | − | 1.74485i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.922436 | − | 5.23139i | −0.192341 | − | 1.09082i | −0.916155 | − | 0.400825i | \(-0.868723\pi\) |
0.723813 | − | 0.689996i | \(-0.242388\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.30348 | + | 1.93285i | 0.460696 | + | 0.386570i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.00288 | + | 3.31315i | 0.770354 | + | 0.637616i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.38054 | − | 3.67571i | −0.813446 | − | 0.682562i | 0.137982 | − | 0.990435i | \(-0.455939\pi\) |
−0.951428 | + | 0.307873i | \(0.900383\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.15756 | + | 6.56488i | 0.207905 | + | 1.17909i | 0.892803 | + | 0.450448i | \(0.148736\pi\) |
−0.684898 | + | 0.728639i | \(0.740153\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −8.76664 | + | 1.04462i | −1.52608 | + | 0.181845i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −7.10636 | + | 12.3086i | −1.20119 | + | 2.08053i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.73838 | − | 3.01096i | −0.285788 | − | 0.494999i | 0.687012 | − | 0.726646i | \(-0.258922\pi\) |
−0.972800 | + | 0.231647i | \(0.925589\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −3.28487 | + | 1.65896i | −0.526000 | + | 0.265647i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.431714 | + | 0.362251i | −0.0674224 | + | 0.0565741i | −0.675876 | − | 0.737015i | \(-0.736235\pi\) |
0.608454 | + | 0.793589i | \(0.291790\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.90987 | − | 3.24293i | 1.35874 | − | 0.494542i | 0.443077 | − | 0.896484i | \(-0.353887\pi\) |
0.915665 | + | 0.401942i | \(0.131665\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −5.85315 | − | 6.14845i | −0.872536 | − | 0.916557i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.332415 | + | 1.88522i | −0.0484876 | + | 0.274987i | −0.999406 | − | 0.0344539i | \(-0.989031\pi\) |
0.950919 | + | 0.309441i | \(0.100142\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −17.1289 | − | 6.23440i | −2.44698 | − | 0.890628i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.73952 | − | 9.07644i | −0.383609 | − | 1.27096i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.01999 | 0.826910 | 0.413455 | − | 0.910525i | \(-0.364322\pi\) | ||||
0.413455 | + | 0.910525i | \(0.364322\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 14.4234 | 1.94485 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.0588885 | + | 0.0626995i | −0.00779997 | + | 0.00830475i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.00945632 | + | 0.00344182i | 0.00123111 | + | 0.000448087i | 0.342636 | − | 0.939468i | \(-0.388680\pi\) |
−0.341405 | + | 0.939916i | \(0.610903\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.68535 | − | 9.55809i | 0.215787 | − | 1.22379i | −0.663749 | − | 0.747956i | \(-0.731036\pi\) |
0.879536 | − | 0.475833i | \(-0.157853\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 8.94382 | − | 12.1269i | 1.12682 | − | 1.52784i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 5.64949 | − | 2.05625i | 0.700733 | − | 0.255046i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.39581 | + | 2.01032i | −0.292694 | + | 0.245600i | −0.777296 | − | 0.629135i | \(-0.783409\pi\) |
0.484601 | + | 0.874735i | \(0.338965\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.514367 | − | 9.18643i | 0.0619225 | − | 1.10592i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.24130 | + | 5.61409i | 0.384671 | + | 0.666270i | 0.991724 | − | 0.128392i | \(-0.0409815\pi\) |
−0.607052 | + | 0.794662i | \(0.707648\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.15649 | − | 5.46720i | 0.369439 | − | 0.639887i | −0.620039 | − | 0.784571i | \(-0.712883\pi\) |
0.989478 | + | 0.144684i | \(0.0462165\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.11951 | + | 4.17066i | 0.360210 | + | 0.481586i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.44577 | + | 25.2132i | 0.506643 | + | 2.87331i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.46970 | − | 3.75052i | −0.502881 | − | 0.421967i | 0.355735 | − | 0.934587i | \(-0.384231\pi\) |
−0.858616 | + | 0.512620i | \(0.828675\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.43901 | + | 7.17058i | 0.604334 | + | 0.796731i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.18532 | + | 2.67280i | 0.349634 | + | 0.293378i | 0.800643 | − | 0.599142i | \(-0.204491\pi\) |
−0.451009 | + | 0.892519i | \(0.648936\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.68962 | + | 15.2536i | 0.291731 | + | 1.65449i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.93240 | − | 7.93137i | −0.636020 | − | 0.850332i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.80540 | − | 8.32321i | 0.509372 | − | 0.882258i | −0.490569 | − | 0.871402i | \(-0.663211\pi\) |
0.999941 | − | 0.0108557i | \(-0.00345556\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.33583 | + | 9.24193i | 0.559347 | + | 0.968817i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.645479 | + | 11.5281i | −0.0669330 | + | 1.19540i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.107651 | − | 0.0903296i | 0.0110447 | − | 0.00926762i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.9754 | − | 5.81458i | 1.62206 | − | 0.590381i | 0.638286 | − | 0.769799i | \(-0.279644\pi\) |
0.983773 | + | 0.179418i | \(0.0574216\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −15.1961 | − | 1.70707i | −1.52727 | − | 0.171567i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.87917 | − | 10.6573i | 0.186984 | − | 1.06044i | −0.736395 | − | 0.676552i | \(-0.763473\pi\) |
0.923379 | − | 0.383889i | \(-0.125415\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.76943 | + | 2.46387i | 0.667012 | + | 0.242772i | 0.653261 | − | 0.757133i | \(-0.273401\pi\) |
0.0137509 | + | 0.999905i | \(0.495623\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −16.8531 | + | 17.9437i | −1.64469 | + | 1.75113i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 7.49975 | 0.725028 | 0.362514 | − | 0.931978i | \(-0.381919\pi\) | ||||
0.362514 | + | 0.931978i | \(0.381919\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −5.24898 | −0.502761 | −0.251380 | − | 0.967888i | \(-0.580885\pi\) | ||||
−0.251380 | + | 0.967888i | \(0.580885\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.74005 | − | 5.76505i | −0.165158 | − | 0.547195i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −7.98635 | − | 2.90679i | −0.751293 | − | 0.273448i | −0.0621431 | − | 0.998067i | \(-0.519794\pi\) |
−0.689150 | + | 0.724619i | \(0.742016\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.61018 | + | 14.8031i | −0.243401 | + | 1.38039i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.19551 | + | 1.49776i | −0.572775 | + | 0.138468i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −25.8354 | + | 9.40333i | −2.36833 | + | 0.862001i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 11.4767 | − | 9.63007i | 1.04333 | − | 0.875461i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −0.871306 | + | 0.440037i | −0.0785630 | + | 0.0396768i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.81979 | + | 4.88401i | 0.252209 | + | 0.436839i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.20983 | + | 5.55960i | −0.284827 | + | 0.493334i | −0.972567 | − | 0.232622i | \(-0.925269\pi\) |
0.687740 | + | 0.725957i | \(0.258603\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 16.3074 | − | 1.94317i | 1.43579 | − | 0.171086i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.34360 | + | 18.9625i | 0.292132 | + | 1.65676i | 0.678636 | + | 0.734475i | \(0.262571\pi\) |
−0.386504 | + | 0.922288i | \(0.626317\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.191084 | + | 0.160339i | 0.0165691 | + | 0.0139031i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −7.43723 | − | 12.6837i | −0.640095 | − | 1.09164i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.76113 | + | 1.47777i | 0.150464 | + | 0.126254i | 0.714912 | − | 0.699214i | \(-0.246467\pi\) |
−0.564448 | + | 0.825468i | \(0.690911\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.46944 | − | 8.33360i | −0.124636 | − | 0.706847i | −0.981523 | − | 0.191343i | \(-0.938716\pi\) |
0.856887 | − | 0.515504i | \(-0.172395\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.30643 | + | 3.04743i | −0.110021 | + | 0.256640i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 5.41493 | − | 9.37894i | 0.452820 | − | 0.784307i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.09055 | + | 14.0132i | 0.671884 | + | 1.16374i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −26.4170 | − | 17.2899i | −2.17884 | − | 1.42605i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −5.13012 | + | 4.30468i | −0.420276 | + | 0.352653i | −0.828268 | − | 0.560332i | \(-0.810673\pi\) |
0.407992 | + | 0.912985i | \(0.366229\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.43651 | − | 0.886818i | 0.198281 | − | 0.0721682i | −0.240971 | − | 0.970532i | \(-0.577466\pi\) |
0.439252 | + | 0.898364i | \(0.355244\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −1.02838 | − | 16.3891i | −0.0831397 | − | 1.32498i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.27552 | − | 18.5764i | 0.263096 | − | 1.49209i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −20.5923 | − | 7.49499i | −1.64344 | − | 0.598165i | −0.655808 | − | 0.754927i | \(-0.727672\pi\) |
−0.987636 | + | 0.156762i | \(0.949894\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 10.1512 | + | 2.38184i | 0.805046 | + | 0.188892i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −26.6814 | −2.10279 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.50928 | 0.588173 | 0.294086 | − | 0.955779i | \(-0.404985\pi\) | ||||
0.294086 | + | 0.955779i | \(0.404985\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 24.3216 | + | 5.70671i | 1.89343 | + | 0.444266i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.31112 | − | 0.841178i | −0.178840 | − | 0.0650923i | 0.251048 | − | 0.967975i | \(-0.419225\pi\) |
−0.429888 | + | 0.902882i | \(0.641447\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.47355 | + | 8.35691i | −0.113350 | + | 0.642839i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.124108 | + | 0.0824277i | −0.00949081 | + | 0.00630341i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 7.62695 | − | 2.77598i | 0.579866 | − | 0.211054i | −0.0354003 | − | 0.999373i | \(-0.511271\pi\) |
0.615267 | + | 0.788319i | \(0.289048\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.5698 | − | 9.70825i | 0.874597 | − | 0.733874i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0145840 | + | 0.00954523i | 0.00109620 | + | 0.000717463i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.95175 | − | 12.0408i | −0.519599 | − | 0.899971i | −0.999740 | − | 0.0227802i | \(-0.992748\pi\) |
0.480142 | − | 0.877191i | \(-0.340585\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.9558 | + | 20.7081i | −0.888670 | + | 1.53922i | −0.0472210 | + | 0.998884i | \(0.515037\pi\) |
−0.841449 | + | 0.540337i | \(0.818297\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 6.62364 | − | 15.4506i | 0.489634 | − | 1.14214i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 1.70836 | + | 9.68859i | 0.125601 | + | 0.712319i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 21.3735 | + | 17.9345i | 1.56298 | + | 1.31150i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 19.8796 | − | 16.9104i | 1.44603 | − | 1.23005i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 16.9180 | + | 14.1959i | 1.22414 | + | 1.02718i | 0.998597 | + | 0.0529455i | \(0.0168610\pi\) |
0.225546 | + | 0.974233i | \(0.427583\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.31347 | + | 24.4629i | 0.310490 | + | 1.76088i | 0.596463 | + | 0.802640i | \(0.296572\pi\) |
−0.285973 | + | 0.958238i | \(0.592317\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 10.3400 | − | 1.23211i | 0.740466 | − | 0.0882329i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.84142 | − | 3.18944i | 0.131196 | − | 0.227238i | −0.792942 | − | 0.609297i | \(-0.791452\pi\) |
0.924138 | + | 0.382059i | \(0.124785\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.7419 | − | 22.0696i | −0.903248 | − | 1.56447i | −0.823252 | − | 0.567676i | \(-0.807843\pi\) |
−0.0799957 | − | 0.996795i | \(-0.525491\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.83533 | + | 2.44200i | −0.341058 | + | 0.172245i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −22.0024 | + | 18.4622i | −1.54427 | + | 1.29579i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.49852 | − | 0.545416i | 0.104661 | − | 0.0380935i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.50201 | − | 15.2872i | 0.312912 | − | 1.06253i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.0439575 | − | 0.249295i | 0.00304060 | − | 0.0172441i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.96210 | + | 0.714147i | 0.135077 | + | 0.0491639i | 0.408674 | − | 0.912680i | \(-0.365991\pi\) |
−0.273597 | + | 0.961844i | \(0.588214\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.24441 | + | 10.7492i | 0.222303 | + | 0.736525i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −26.8299 | −1.82979 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 33.4825 | 2.27294 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.48577 | − | 7.97021i | 0.505842 | − | 0.538577i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.9285 | + | 3.97766i | 0.735133 | + | 0.267566i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.149084 | + | 0.845499i | −0.00998342 | + | 0.0566188i | −0.989392 | − | 0.145267i | \(-0.953596\pi\) |
0.979409 | + | 0.201886i | \(0.0647070\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.61015 | + | 8.26705i | 0.240677 | + | 0.551137i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 6.80525 | − | 2.47691i | 0.451680 | − | 0.164398i | −0.106156 | − | 0.994350i | \(-0.533854\pi\) |
0.557836 | + | 0.829951i | \(0.311632\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.2753 | + | 10.3002i | −0.811173 | + | 0.680655i | −0.950887 | − | 0.309537i | \(-0.899826\pi\) |
0.139714 | + | 0.990192i | \(0.455382\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.47904 | + | 44.2749i | −0.163109 | + | 2.91308i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −11.8424 | − | 20.5116i | −0.775820 | − | 1.34376i | −0.934333 | − | 0.356402i | \(-0.884003\pi\) |
0.158513 | − | 0.987357i | \(-0.449330\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.70841 | − | 4.69110i | 0.176677 | − | 0.306014i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −6.05314 | − | 8.09280i | −0.393194 | − | 0.525684i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.34274 | + | 13.2864i | 0.151539 | + | 0.859423i | 0.961882 | + | 0.273466i | \(0.0881701\pi\) |
−0.810342 | + | 0.585957i | \(0.800719\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.72399 | − | 1.44660i | −0.111052 | − | 0.0931838i | 0.585571 | − | 0.810621i | \(-0.300870\pi\) |
−0.696623 | + | 0.717438i | \(0.745315\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 6.33448 | + | 14.2434i | 0.406357 | + | 0.913714i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 39.5122 | + | 33.1547i | 2.52434 | + | 2.11817i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0183226 | − | 0.103913i | −0.00116584 | − | 0.00661181i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.31375 | + | 5.76731i | 0.273373 | + | 0.365488i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.53757 | + | 2.66314i | −0.0970504 | + | 0.168096i | −0.910462 | − | 0.413592i | \(-0.864274\pi\) |
0.813412 | + | 0.581688i | \(0.197607\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.5385 | + | 23.4493i | 0.851157 | + | 1.47425i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −1.49978 | + | 26.7857i | −0.0939200 | + | 1.67738i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.47429 | + | 2.07618i | −0.154342 | + | 0.129508i | −0.716689 | − | 0.697393i | \(-0.754343\pi\) |
0.562347 | + | 0.826902i | \(0.309899\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −16.4098 | + | 5.97268i | −1.01966 | + | 0.371124i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.86544 | − | 15.7215i | −0.424960 | − | 0.973136i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.51553 | + | 8.59501i | −0.0934517 | + | 0.529991i | 0.901759 | + | 0.432239i | \(0.142276\pi\) |
−0.995211 | + | 0.0977521i | \(0.968835\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −16.0072 | − | 5.82616i | −0.983316 | − | 0.357898i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.3963 | − | 12.1338i | 0.697440 | − | 0.742574i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −8.53979 | −0.520680 | −0.260340 | − | 0.965517i | \(-0.583835\pi\) | ||||
−0.260340 | + | 0.965517i | \(0.583835\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.54251 | 0.215192 | 0.107596 | − | 0.994195i | \(-0.465685\pi\) | ||||
0.107596 | + | 0.994195i | \(0.465685\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 5.34095 | + | 17.6954i | 0.323249 | + | 1.07097i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −14.4029 | − | 5.24223i | −0.868528 | − | 0.316118i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.16669 | − | 17.9592i | 0.190268 | − | 1.07906i | −0.728730 | − | 0.684801i | \(-0.759889\pi\) |
0.918998 | − | 0.394262i | \(-0.129000\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −5.64958 | + | 19.1839i | −0.338231 | + | 1.14851i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.8296 | − | 5.39755i | 0.884663 | − | 0.321991i | 0.140573 | − | 0.990070i | \(-0.455106\pi\) |
0.744090 | + | 0.668079i | \(0.232883\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.3307 | − | 12.0249i | 0.851873 | − | 0.714806i | −0.108328 | − | 0.994115i | \(-0.534550\pi\) |
0.960201 | + | 0.279309i | \(0.0901054\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.217266 | − | 0.109726i | 0.0128697 | − | 0.00649962i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.41532 | + | 2.45141i | 0.0835437 | + | 0.144702i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.48111 | + | 11.2256i | −0.381242 | + | 0.660330i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 29.2392 | − | 3.48410i | 1.71403 | − | 0.204242i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.56138 | − | 8.85504i | −0.0912170 | − | 0.517317i | −0.995841 | − | 0.0911069i | \(-0.970959\pi\) |
0.904624 | − | 0.426210i | \(-0.140152\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.0218135 | − | 0.0183037i | −0.00127003 | − | 0.00106568i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −24.9491 | − | 8.89098i | −1.44769 | − | 0.515907i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 8.64588 | + | 7.25475i | 0.500004 | + | 0.419553i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.26987 | − | 46.9007i | −0.476667 | − | 2.70331i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 7.38538 | − | 17.2274i | 0.424279 | − | 0.989690i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −13.7317 | + | 23.7840i | −0.786275 | + | 1.36187i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.9163 | − | 25.8358i | −0.851319 | − | 1.47453i | −0.880018 | − | 0.474940i | \(-0.842470\pi\) |
0.0286991 | − | 0.999588i | \(-0.490864\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.4401 | + | 6.83308i | 0.593919 | + | 0.388720i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.67326 | − | 7.27773i | 0.491815 | − | 0.412682i | −0.362861 | − | 0.931843i | \(-0.618200\pi\) |
0.854676 | + | 0.519161i | \(0.173756\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.19289 | − | 2.98197i | 0.463089 | − | 0.168551i | −0.0999299 | − | 0.994994i | \(-0.531862\pi\) |
0.563019 | + | 0.826444i | \(0.309640\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −35.5181 | + | 23.5897i | −2.00122 | + | 1.32913i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −0.710402 | + | 4.02889i | −0.0399001 | + | 0.226285i | −0.998237 | − | 0.0593559i | \(-0.981095\pi\) |
0.958337 | + | 0.285641i | \(0.0922064\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 27.3901 | + | 9.96918i | 1.53355 | + | 0.558167i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 12.6465 | + | 2.96731i | 0.705858 | + | 0.165619i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 0.271841 | 0.0151256 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.38880 | −0.354387 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −8.85112 | − | 2.07679i | −0.489468 | − | 0.114847i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 9.03521 | + | 3.28855i | 0.498127 | + | 0.181304i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.62145 | − | 14.8670i | 0.144088 | − | 0.817163i | −0.824007 | − | 0.566579i | \(-0.808266\pi\) |
0.968095 | − | 0.250583i | \(-0.0806224\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.653194 | − | 10.4098i | −0.0357948 | − | 0.570454i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 8.31607 | − | 3.02680i | 0.454355 | − | 0.165372i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.0967 | − | 13.5067i | 0.876842 | − | 0.735757i | −0.0886856 | − | 0.996060i | \(-0.528267\pi\) |
0.965527 | + | 0.260302i | \(0.0838222\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −12.3169 | − | 8.06144i | −0.668964 | − | 0.437837i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −16.9894 | − | 29.4266i | −0.920030 | − | 1.59354i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −28.1982 | + | 48.8407i | −1.52256 | + | 2.63715i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −10.2583 | + | 23.9290i | −0.552291 | + | 1.28830i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4.39642 | − | 24.9333i | −0.236012 | − | 1.33849i | −0.840472 | − | 0.541855i | \(-0.817722\pi\) |
0.604460 | − | 0.796636i | \(-0.293389\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −15.9862 | − | 13.4140i | −0.855720 | − | 0.718035i | 0.105321 | − | 0.994438i | \(-0.466413\pi\) |
−0.961042 | + | 0.276404i | \(0.910857\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −11.0398 | + | 0.0743225i | −0.589261 | + | 0.00396704i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −12.2469 | − | 10.2764i | −0.651836 | − | 0.546955i | 0.255792 | − | 0.966732i | \(-0.417664\pi\) |
−0.907627 | + | 0.419777i | \(0.862108\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.18532 | − | 18.0649i | −0.169059 | − | 0.958784i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −47.2856 | + | 5.63448i | −2.50262 | + | 0.298208i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 13.0281 | − | 22.5653i | 0.687596 | − | 1.19095i | −0.285017 | − | 0.958523i | \(-0.591999\pi\) |
0.972613 | − | 0.232429i | \(-0.0746675\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.49877 | + | 16.4523i | 0.499935 | + | 0.865913i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 23.1628 | − | 11.6980i | 1.21573 | − | 0.613983i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −13.6843 | + | 11.4825i | −0.716269 | + | 0.601021i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.34015 | − | 3.03557i | 0.435352 | − | 0.158455i | −0.115041 | − | 0.993361i | \(-0.536700\pi\) |
0.550393 | + | 0.834905i | \(0.314478\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −1.64335 | + | 0.397279i | −0.0855493 | + | 0.0206815i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.25060 | − | 29.7776i | 0.272598 | − | 1.54598i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.00829968 | − | 0.00302084i | −0.000429741 | − | 0.000156413i | 0.341805 | − | 0.939771i | \(-0.388962\pi\) |
−0.342235 | + | 0.939614i | \(0.611184\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.82249 | + | 9.35136i | 0.145753 | + | 0.482902i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 12.1496 | 0.625738 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.59516 | 0.184671 | 0.0923354 | − | 0.995728i | \(-0.470567\pi\) | ||||
0.0923354 | + | 0.995728i | \(0.470567\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.61228 | + | 8.10491i | −0.389989 | + | 0.415227i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 12.5572 | + | 4.57043i | 0.641641 | + | 0.233538i | 0.642290 | − | 0.766462i | \(-0.277984\pi\) |
−0.000649334 | 1.00000i | \(0.500207\pi\) | ||||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 12.5800 | − | 71.3449i | 0.641137 | − | 3.63607i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 28.2673 | + | 3.17544i | 1.43691 | + | 0.161416i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 23.0216 | − | 8.37918i | 1.16724 | − | 0.424841i | 0.315563 | − | 0.948905i | \(-0.397807\pi\) |
0.851679 | + | 0.524063i | \(0.175585\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −22.2744 | + | 18.6905i | −1.12647 | + | 0.945218i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −1.86445 | + | 33.2986i | −0.0940492 | + | 1.67969i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 8.25522 | + | 14.2985i | 0.415365 | + | 0.719434i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.00960 | − | 8.67688i | 0.251425 | − | 0.435480i | −0.712494 | − | 0.701679i | \(-0.752434\pi\) |
0.963918 | + | 0.266198i | \(0.0857676\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.258778 | + | 0.345976i | 0.0129551 | + | 0.0173204i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.22027 | − | 18.2630i | −0.160812 | − | 0.912013i | −0.953278 | − | 0.302095i | \(-0.902314\pi\) |
0.792465 | − | 0.609917i | \(-0.208797\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −10.8497 | − | 9.10399i | −0.540463 | − | 0.453502i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −7.52270 | − | 24.3305i | −0.373806 | − | 1.20899i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 13.5757 | + | 11.3914i | 0.672924 | + | 0.564650i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.11206 | + | 6.30682i | 0.0549879 | + | 0.311852i | 0.999879 | − | 0.0155318i | \(-0.00494413\pi\) |
−0.944891 | + | 0.327384i | \(0.893833\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 2.38503 | + | 3.18869i | 0.117645 | + | 0.157287i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.0252725 | − | 0.0437733i | 0.00124358 | − | 0.00215395i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.88306 | − | 10.1898i | −0.288788 | − | 0.500195i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.819385 | − | 14.6340i | 0.0401255 | − | 0.716628i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 10.7223 | − | 8.99711i | 0.523820 | − | 0.439538i | −0.342141 | − | 0.939649i | \(-0.611152\pi\) |
0.865961 | + | 0.500111i | \(0.166708\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.83960 | + | 1.39750i | −0.187131 | + | 0.0681100i | −0.433886 | − | 0.900968i | \(-0.642858\pi\) |
0.246755 | + | 0.969078i | \(0.420636\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −3.40871 | + | 4.62186i | −0.165737 | + | 0.224722i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 2.85817 | − | 16.2095i | 0.138641 | − | 0.786275i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −45.8088 | − | 16.6730i | −2.21684 | − | 0.806864i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 12.8418 | − | 13.6728i | 0.620008 | − | 0.660131i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −28.5009 | −1.37284 | −0.686419 | − | 0.727206i | \(-0.740818\pi\) | ||||
−0.686419 | + | 0.727206i | \(0.740818\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −26.9170 | −1.29355 | −0.646774 | − | 0.762682i | \(-0.723882\pi\) | ||||
−0.646774 | + | 0.762682i | \(0.723882\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 8.09832 | + | 26.8310i | 0.388285 | + | 1.28645i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.247902 | + | 0.0902289i | 0.0118588 | + | 0.00431624i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.52083 | − | 8.62504i | 0.0725851 | − | 0.411651i | −0.926766 | − | 0.375639i | \(-0.877423\pi\) |
0.999351 | − | 0.0360121i | \(-0.0114655\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −37.7049 | − | 39.6072i | −1.79547 | − | 1.88606i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.86329 | + | 1.77009i | −0.231062 | + | 0.0840997i | −0.454956 | − | 0.890514i | \(-0.650345\pi\) |
0.223894 | + | 0.974613i | \(0.428123\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −20.8328 | + | 17.4808i | −0.987571 | + | 0.828670i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −10.3539 | + | 5.22903i | −0.489721 | + | 0.247325i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −4.15712 | − | 7.20034i | −0.196187 | − | 0.339805i | 0.751102 | − | 0.660186i | \(-0.229523\pi\) |
−0.947289 | + | 0.320381i | \(0.896189\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.43630 | − | 2.48775i | 0.0676328 | − | 0.117144i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.45946 | − | 0.531382i | 0.209523 | − | 0.0249665i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.24368 | − | 29.7384i | −0.245828 | − | 1.39416i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.4174 | − | 11.2585i | −0.627639 | − | 0.526652i | 0.272555 | − | 0.962140i | \(-0.412131\pi\) |
−0.900194 | + | 0.435489i | \(0.856576\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 4.75032 | − | 28.0431i | 0.221726 | − | 1.30894i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 11.9588 | + | 10.0346i | 0.556978 | + | 0.467360i | 0.877296 | − | 0.479950i | \(-0.159345\pi\) |
−0.320318 | + | 0.947310i | \(0.603790\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 6.56692 | + | 37.2429i | 0.305191 | + | 1.73082i | 0.622605 | + | 0.782536i | \(0.286074\pi\) |
−0.317415 | + | 0.948287i | \(0.602815\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 12.8732 | − | 30.0285i | 0.596980 | − | 1.39254i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.64253 | + | 11.5052i | −0.307380 | + | 0.532397i | −0.977788 | − | 0.209595i | \(-0.932786\pi\) |
0.670409 | + | 0.741992i | \(0.266119\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 7.85436 | + | 13.6041i | 0.362680 | + | 0.628181i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −31.7584 | − | 20.7859i | −1.46335 | − | 0.957764i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −37.0232 | + | 31.0661i | −1.70233 | + | 1.42842i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.140328 | + | 0.0510752i | −0.00643869 | + | 0.00234349i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 16.1752 | + | 8.03279i | 0.740612 | + | 0.367796i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 0.495344 | − | 2.80924i | 0.0226328 | − | 0.128357i | −0.971398 | − | 0.237458i | \(-0.923686\pi\) |
0.994031 | + | 0.109100i | \(0.0347970\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.94144 | + | 2.52648i | 0.316503 | + | 0.115198i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −44.9917 | − | 10.5566i | −2.04719 | − | 0.480344i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −48.1062 | −2.18439 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.63845 | −0.300817 | −0.150409 | − | 0.988624i | \(-0.548059\pi\) | ||||
−0.150409 | + | 0.988624i | \(0.548059\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 12.6626 | + | 2.97109i | 0.572621 | + | 0.134357i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.9620 | + | 4.71778i | 0.584966 | + | 0.212910i | 0.617514 | − | 0.786560i | \(-0.288140\pi\) |
−0.0325478 | + | 0.999470i | \(0.510362\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.43539 | + | 30.8256i | −0.244798 | + | 1.38832i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 38.7545 | + | 19.2459i | 1.74189 | + | 0.865040i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 30.5969 | − | 11.1364i | 1.37246 | − | 0.499534i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −27.7517 | + | 23.2865i | −1.24234 | + | 1.04245i | −0.245000 | + | 0.969523i | \(0.578788\pi\) |
−0.997338 | + | 0.0729224i | \(0.976767\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.56432 | − | 2.33285i | −0.159242 | − | 0.104224i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.12155 | + | 1.94258i | 0.0500075 | + | 0.0866155i | 0.889946 | − | 0.456067i | \(-0.150742\pi\) |
−0.839938 | + | 0.542682i | \(0.817409\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −15.3109 | + | 26.5192i | −0.681325 | + | 1.18009i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −5.79123 | + | 13.5089i | −0.257198 | + | 0.599950i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 1.18627 | + | 6.72769i | 0.0525806 | + | 0.298200i | 0.999746 | − | 0.0225467i | \(-0.00717744\pi\) |
−0.947165 | + | 0.320746i | \(0.896066\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −24.2902 | − | 20.3819i | −1.07454 | − | 0.901642i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.241892 | + | 0.0898900i | −0.0106798 | + | 0.00396874i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.6154 | − | 13.1029i | −0.688099 | − | 0.577384i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.69439 | − | 9.60938i | −0.0745193 | − | 0.422620i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.9593 | − | 1.66337i | 0.612746 | − | 0.0730139i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 22.3542 | − | 38.7186i | 0.979354 | − | 1.69629i | 0.314607 | − | 0.949222i | \(-0.398127\pi\) |
0.664747 | − | 0.747068i | \(-0.268539\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.8553 | − | 20.5339i | −0.518395 | − | 0.897886i | −0.999772 | − | 0.0213722i | \(-0.993197\pi\) |
0.481377 | − | 0.876514i | \(-0.340137\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 23.3508 | − | 11.7929i | 1.01911 | − | 0.514685i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 27.9522 | − | 23.4547i | 1.21762 | − | 1.02170i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.90366 | + | 1.78479i | −0.213203 | + | 0.0775995i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.0208157 | + | 0.0218659i | 0.000903325 | + | 0.000948900i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.207922 | − | 1.17919i | 0.00900612 | − | 0.0510762i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.9419 | − | 7.25826i | −0.862164 | − | 0.313802i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −6.95843 | − | 23.0543i | −0.300278 | − | 0.994869i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 92.9131 | 4.00205 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 35.1234 | 1.51007 | 0.755036 | − | 0.655683i | \(-0.227619\pi\) | ||||
0.755036 | + | 0.655683i | \(0.227619\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −28.3539 | + | 30.1888i | −1.21678 | + | 1.29552i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 13.9571 | + | 5.07997i | 0.597856 | + | 0.217602i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.93365 | + | 22.3088i | −0.168191 | + | 0.953856i | 0.777523 | + | 0.628855i | \(0.216476\pi\) |
−0.945714 | + | 0.325001i | \(0.894635\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 17.2823 | − | 23.4329i | 0.737589 | − | 1.00009i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.266863 | − | 0.0971301i | 0.0113687 | − | 0.00413788i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −22.4503 | + | 18.8380i | −0.954682 | + | 0.801073i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.952612 | + | 17.0134i | −0.0404361 | + | 0.722177i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.12883 | + | 1.95519i | 0.0478301 | + | 0.0828442i | 0.888949 | − | 0.458006i | \(-0.151436\pi\) |
−0.841119 | + | 0.540850i | \(0.818103\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.0727 | + | 17.4464i | −0.426029 | + | 0.737903i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 28.9453 | + | 38.6986i | 1.22207 | + | 1.63386i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.24420 | − | 18.3988i | −0.136727 | − | 0.775417i | −0.973642 | − | 0.228083i | \(-0.926754\pi\) |
0.836915 | − | 0.547333i | \(-0.184357\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 18.4226 | + | 15.4584i | 0.775045 | + | 0.650340i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 40.2128 | − | 20.6497i | 1.68878 | − | 0.867206i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −30.9156 | − | 25.9413i | −1.29605 | − | 1.08751i | −0.990813 | − | 0.135238i | \(-0.956820\pi\) |
−0.305236 | − | 0.952277i | \(-0.598735\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.10402 | + | 34.6176i | 0.255445 | + | 1.44870i | 0.794927 | + | 0.606706i | \(0.207509\pi\) |
−0.539481 | + | 0.841998i | \(0.681380\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 22.9114 | + | 30.6316i | 0.957137 | + | 1.27965i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 7.98668 | − | 13.8333i | 0.333068 | − | 0.576890i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −11.8558 | − | 20.5349i | −0.493565 | − | 0.854880i | 0.506407 | − | 0.862294i | \(-0.330973\pi\) |
−0.999973 | + | 0.00741458i | \(0.997640\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.40527 | + | 42.9573i | −0.0999595 | + | 1.78525i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 15.9991 | − | 13.4248i | 0.663754 | − | 0.556956i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −28.8347 | + | 10.4950i | −1.19421 | + | 0.434658i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 17.9235 | + | 2.01345i | 0.741044 | + | 0.0832460i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 0.743605 | − | 4.21720i | 0.0306919 | − | 0.174062i | −0.965609 | − | 0.260000i | \(-0.916277\pi\) |
0.996301 | + | 0.0859376i | \(0.0273886\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.311092 | − | 0.113228i | −0.0128183 | − | 0.00466549i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.36703 | − | 4.64964i | 0.179636 | − | 0.191261i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.5439 | −0.432986 | −0.216493 | − | 0.976284i | \(-0.569462\pi\) | ||||
−0.216493 | + | 0.976284i | \(0.569462\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 77.7972 | 3.18938 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −12.7541 | − | 42.2563i | −0.521991 | − | 1.72944i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 44.6336 | + | 16.2453i | 1.82368 | + | 0.663766i | 0.994494 | + | 0.104795i | \(0.0334186\pi\) |
0.829187 | + | 0.558971i | \(0.188804\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.55031 | + | 20.1348i | −0.144820 | + | 0.821315i | 0.822691 | + | 0.568488i | \(0.192472\pi\) |
−0.967511 | + | 0.252827i | \(0.918640\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −9.11980 | + | 2.20471i | −0.371387 | + | 0.0897826i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −39.8366 | + | 14.4993i | −1.61959 | + | 0.589482i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 15.1465 | − | 12.7094i | 0.614777 | − | 0.515859i | −0.281380 | − | 0.959597i | \(-0.590792\pi\) |
0.896157 | + | 0.443737i | \(0.146348\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −44.4064 | + | 22.4266i | −1.79944 | + | 0.908774i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.03362 | − | 3.52233i | −0.0822713 | − | 0.142498i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.03815 | + | 5.26222i | −0.122710 | + | 0.212539i | −0.920835 | − | 0.389952i | \(-0.872492\pi\) |
0.798126 | + | 0.602491i | \(0.205825\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.74268 | − | 0.326814i | 0.110596 | − | 0.0131784i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1.60518 | + | 9.10342i | 0.0646221 | + | 0.366490i | 0.999920 | + | 0.0126294i | \(0.00402018\pi\) |
−0.935298 | + | 0.353861i | \(0.884869\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.4567 | − | 9.61333i | −0.460484 | − | 0.386392i | 0.382825 | − | 0.923821i | \(-0.374951\pi\) |
−0.843309 | + | 0.537429i | \(0.819396\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 13.6400 | − | 23.9968i | 0.547354 | − | 0.962959i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −36.9791 | − | 31.0292i | −1.48154 | − | 1.24316i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.38187 | − | 30.5221i | −0.215275 | − | 1.22088i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.172758 | − | 0.402983i | 0.00689931 | − | 0.0160936i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −9.51551 | + | 16.4813i | −0.379408 | + | 0.657154i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 10.4381 | + | 18.0793i | 0.415534 | + | 0.719726i | 0.995484 | − | 0.0949256i | \(-0.0302613\pi\) |
−0.579950 | + | 0.814652i | \(0.696928\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 3.02605 | + | 1.98055i | 0.120275 | + | 0.0787198i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 13.9156 | − | 11.6765i | 0.552223 | − | 0.463370i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 36.3930 | − | 13.2460i | 1.44194 | − | 0.524824i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.21791 | + | 19.4096i | 0.0481799 | + | 0.767833i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.71244 | + | 15.3830i | −0.107135 | + | 0.607592i | 0.883211 | + | 0.468975i | \(0.155377\pi\) |
−0.990346 | + | 0.138617i | \(0.955734\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −18.6682 | − | 6.79466i | −0.736201 | − | 0.267955i | −0.0534137 | − | 0.998572i | \(-0.517010\pi\) |
−0.682787 | + | 0.730617i | \(0.739232\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −45.2421 | − | 10.6154i | −1.78141 | − | 0.417981i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 15.4741 | 0.608349 | 0.304174 | − | 0.952616i | \(-0.401619\pi\) | ||||
0.304174 | + | 0.952616i | \(0.401619\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.0512944 | −0.00201348 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 56.4600 | + | 13.2475i | 2.21284 | + | 0.519212i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 15.9016 | + | 5.78772i | 0.622279 | + | 0.226491i | 0.633867 | − | 0.773442i | \(-0.281467\pi\) |
−0.0115885 | + | 0.999933i | \(0.503689\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.46126 | − | 53.6575i | 0.369682 | − | 2.09657i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 15.7764 | − | 10.4780i | 0.615495 | − | 0.408787i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 14.2658 | − | 5.19231i | 0.555715 | − | 0.202264i | −0.0488689 | − | 0.998805i | \(-0.515562\pi\) |
0.604584 | + | 0.796541i | \(0.293339\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −28.6261 | + | 24.0201i | −1.11343 | + | 0.934276i | −0.998254 | − | 0.0590700i | \(-0.981186\pi\) |
−0.115172 | + | 0.993346i | \(0.536742\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 16.8545 | + | 11.0313i | 0.654575 | + | 0.428420i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −0.352919 | − | 0.611274i | −0.0136856 | − | 0.0237042i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.1883 | + | 26.3069i | −0.588094 | + | 1.01861i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.585920 | + | 1.36674i | −0.0226530 | + | 0.0528413i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 8.59061 | + | 48.7198i | 0.331637 | + | 1.88081i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 21.5116 | + | 18.0504i | 0.829211 | + | 0.695791i | 0.955110 | − | 0.296252i | \(-0.0957369\pi\) |
−0.125898 | + | 0.992043i | \(0.540181\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.81673 | + | 15.3687i | 0.108416 | + | 0.591543i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −10.7694 | − | 9.03664i | −0.413903 | − | 0.347306i | 0.411935 | − | 0.911213i | \(-0.364853\pi\) |
−0.825838 | + | 0.563907i | \(0.809298\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −14.8279 | − | 84.0932i | −0.569043 | − | 3.22720i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 12.4554 | − | 1.48417i | 0.477291 | − | 0.0568734i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.49945 | + | 4.32918i | −0.0956389 | + | 0.165651i | −0.909875 | − | 0.414882i | \(-0.863823\pi\) |
0.814236 | + | 0.580534i | \(0.197156\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.25269 | − | 5.63382i | −0.124279 | − | 0.215257i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −24.7746 | + | 12.5120i | −0.945209 | + | 0.477361i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.79804 | + | 8.22153i | −0.373276 | + | 0.313215i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −19.1044 | + | 6.95345i | −0.726767 | + | 0.264522i | −0.678796 | − | 0.734327i | \(-0.737498\pi\) |
−0.0479713 | + | 0.998849i | \(0.515276\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −21.6979 | + | 73.6780i | −0.824235 | + | 2.79879i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.15801 | + | 23.5813i | −0.157722 | + | 0.894488i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.89878 | + | 1.05507i | 0.109799 | + | 0.0399636i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.8537 | − | 39.2733i | −0.448350 | − | 1.48545i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −0.985890 | −0.0372366 | −0.0186183 | − | 0.999827i | \(-0.505927\pi\) | ||||
−0.0186183 | + | 0.999827i | \(0.505927\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.172665 | 0.00651217 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.42313 | − | 6.83880i | 0.241909 | − | 0.257564i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −51.0769 | − | 18.5905i | −1.92094 | − | 0.699166i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.153891 | − | 0.872759i | 0.00577949 | − | 0.0327771i | −0.981782 | − | 0.190013i | \(-0.939147\pi\) |
0.987561 | + | 0.157236i | \(0.0502582\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.00518 | − | 16.0415i | −0.262715 | − | 0.601603i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 33.2757 | − | 12.1114i | 1.24618 | − | 0.453574i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −23.4753 | + | 19.6981i | −0.877927 | + | 0.736668i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.30636 | + | 23.3311i | −0.0487867 | + | 0.871316i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14.9029 | − | 25.8125i | −0.555783 | − | 0.962644i | −0.997842 | − | 0.0656580i | \(-0.979085\pi\) |
0.442060 | − | 0.896986i | \(-0.354248\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.0917 | − | 31.3357i | 0.673770 | − | 1.16700i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.33474 | − | 3.12145i | −0.0868297 | − | 0.116088i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.98589 | − | 16.9338i | −0.110893 | − | 0.628907i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.79469 | + | 7.37962i | 0.326177 | + | 0.273695i | 0.791140 | − | 0.611635i | \(-0.209488\pi\) |
−0.464963 | + | 0.885330i | \(0.653932\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 5.04608 | + | 26.5243i | 0.186892 | + | 0.982381i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −39.7582 | − | 33.3611i | −1.47051 | − | 1.23390i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.11811 | − | 34.6975i | −0.225978 | − | 1.28158i | −0.860807 | − | 0.508931i | \(-0.830041\pi\) |
0.634830 | − | 0.772652i | \(-0.281070\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 53.5098 | + | 71.5405i | 1.97374 | + | 2.63881i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 7.97080 | − | 13.8058i | 0.293608 | − | 0.508544i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.1188 | − | 19.2584i | −0.409013 | − | 0.708432i | 0.585766 | − | 0.810480i | \(-0.300794\pi\) |
−0.994779 | + | 0.102048i | \(0.967460\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0102170 | − | 0.182473i | 0.000375332 | − | 0.00670331i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.25293 | + | 1.89044i | −0.0826521 | + | 0.0693534i | −0.683178 | − | 0.730252i | \(-0.739403\pi\) |
0.600526 | + | 0.799606i | \(0.294958\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.8071 | − | 6.48126i | 0.652402 | − | 0.237455i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.99222 | + | 11.4319i | 0.182656 | + | 0.418272i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 6.54123 | − | 37.0972i | 0.239011 | − | 1.35550i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −7.83959 | − | 2.85338i | −0.286071 | − | 0.104121i | 0.194999 | − | 0.980803i | \(-0.437530\pi\) |
−0.481070 | + | 0.876682i | \(0.659752\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.64642 | + | 3.88239i | −0.132883 | + | 0.141482i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −7.33698 | −0.267020 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 23.4397 | 0.851930 | 0.425965 | − | 0.904740i | \(-0.359935\pi\) | ||||
0.425965 | + | 0.904740i | \(0.359935\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 13.5515 | + | 44.8981i | 0.491888 | + | 1.62970i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.0388 | − | 4.74575i | −0.472657 | − | 0.172033i | 0.0946985 | − | 0.995506i | \(-0.469811\pi\) |
−0.567356 | + | 0.823473i | \(0.692034\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −4.57813 | + | 25.9638i | −0.165739 | + | 0.939954i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −13.1269 | + | 44.5741i | −0.474604 | + | 1.61158i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.0200914 | + | 0.00731269i | −0.000725460 | + | 0.000264046i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −31.8412 | + | 26.7179i | −1.14822 | + | 0.963473i | −0.999677 | − | 0.0254329i | \(-0.991904\pi\) |
−0.148546 | + | 0.988906i | \(0.547459\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.99374 | + | 2.52200i | −0.179845 | + | 0.0908275i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 13.0208 | + | 22.5527i | 0.468326 | + | 0.811165i | 0.999345 | − | 0.0361955i | \(-0.0115239\pi\) |
−0.531019 | + | 0.847360i | \(0.678191\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −10.0225 | + | 17.3595i | −0.360018 | + | 0.623570i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −30.0342 | + | 3.57884i | −1.07747 | + | 0.128390i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −0.00486005 | − | 0.0275627i | −0.000174129 | − | 0.000987536i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −25.3126 | − | 21.2398i | −0.905757 | − | 0.760020i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −5.35660 | − | 29.2268i | −0.191429 | − | 1.04448i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 47.5015 | + | 39.8585i | 1.69540 | + | 1.42261i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.95947 | − | 22.4553i | −0.141140 | − | 0.800444i | −0.970386 | − | 0.241560i | \(-0.922341\pi\) |
0.829246 | − | 0.558884i | \(-0.188770\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5.95624 | + | 13.8938i | −0.212048 | + | 0.494631i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −21.3440 | + | 36.9689i | −0.758905 | + | 1.31446i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 10.3105 | + | 17.8583i | 0.366136 | + | 0.634166i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −24.6871 | − | 16.1577i | −0.875562 | − | 0.573056i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −33.6971 | + | 28.2752i | −1.19361 | + | 1.00156i | −0.193823 | + | 0.981037i | \(0.562089\pi\) |
−0.999789 | + | 0.0205228i | \(0.993467\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.84652 | − | 3.58384i | 0.348345 | − | 0.126787i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 24.0178 | − | 15.9516i | 0.848627 | − | 0.563623i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −5.58777 | + | 31.6898i | −0.197188 | + | 1.11831i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 70.9462 | + | 25.8223i | 2.50052 | + | 0.910116i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −14.4003 | − | 3.37881i | −0.506913 | − | 0.118940i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 35.8016 | 1.25872 | 0.629358 | − | 0.777115i | \(-0.283318\pi\) | ||||
0.629358 | + | 0.777115i | \(0.283318\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 48.3005 | 1.69606 | 0.848031 | − | 0.529947i | \(-0.177788\pi\) | ||||
0.848031 | + | 0.529947i | \(0.177788\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.97358 | + | 1.40162i | 0.209503 | + | 0.0491568i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −19.9673 | − | 7.26749i | −0.699423 | − | 0.254569i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.0817681 | + | 0.463730i | −0.00286070 | + | 0.0162239i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.00493 | + | 31.9521i | 0.0700579 | + | 1.11650i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −0.856294 | + | 0.311666i | −0.0298849 | + | 0.0108772i | −0.356919 | − | 0.934135i | \(-0.616173\pi\) |
0.327034 | + | 0.945012i | \(0.393951\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.2399 | − | 11.9487i | 0.496371 | − | 0.416505i | −0.359932 | − | 0.932978i | \(-0.617200\pi\) |
0.856303 | + | 0.516474i | \(0.172756\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −22.2129 | − | 14.5383i | −0.773353 | − | 0.506160i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 15.6029 | + | 27.0251i | 0.542567 | + | 0.939754i | 0.998756 | + | 0.0498708i | \(0.0158809\pi\) |
−0.456189 | + | 0.889883i | \(0.650786\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.5336 | − | 28.6370i | 0.574235 | − | 0.994605i | −0.421889 | − | 0.906648i | \(-0.638633\pi\) |
0.996124 | − | 0.0879573i | \(-0.0280339\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 12.4455 | − | 29.0309i | 0.431730 | − | 1.00707i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 17.3261 | + | 98.2610i | 0.600313 | + | 3.40454i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.33120 | + | 4.47340i | 0.184494 | + | 0.154809i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −17.1168 | + | 30.1136i | −0.591644 | + | 1.04088i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 14.4443 | + | 12.1202i | 0.498671 | + | 0.418435i | 0.857122 | − | 0.515114i | \(-0.172250\pi\) |
−0.358451 | + | 0.933549i | \(0.616695\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.642495 | + | 3.64377i | 0.0221550 | + | 0.125647i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 27.1421 | − | 3.23422i | 0.934825 | − | 0.111392i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 12.0060 | − | 20.7950i | 0.413019 | − | 0.715370i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −37.6249 | − | 65.1682i | −1.29281 | − | 2.23920i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 28.9230 | − | 14.6070i | 0.992634 | − | 0.501312i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −14.1480 | + | 11.8716i | −0.484987 | + | 0.406952i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.86449 | − | 1.77053i | 0.166557 | − | 0.0606218i | −0.257396 | − | 0.966306i | \(-0.582864\pi\) |
0.423953 | + | 0.905684i | \(0.360642\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0.409779 | − | 0.0990640i | 0.0140142 | − | 0.00338792i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −9.45910 | + | 53.6452i | −0.323117 | + | 1.83249i | 0.199474 | + | 0.979903i | \(0.436077\pi\) |
−0.522591 | + | 0.852583i | \(0.675035\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 20.8775 | + | 7.59880i | 0.712332 | + | 0.259268i | 0.672667 | − | 0.739945i | \(-0.265149\pi\) |
0.0396651 | + | 0.999213i | \(0.487371\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.41668 | + | 4.69368i | 0.0482803 | + | 0.159960i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −14.3277 | −0.487722 | −0.243861 | − | 0.969810i | \(-0.578414\pi\) | ||||
−0.243861 | + | 0.969810i | \(0.578414\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −22.9667 | −0.780893 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −15.3703 | + | 16.3650i | −0.522002 | + | 0.555783i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 27.9476 | + | 10.1721i | 0.948057 | + | 0.345064i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.15387 | − | 6.54393i | 0.0390974 | − | 0.221732i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 50.6833 | + | 5.69357i | 1.71537 | + | 0.192698i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 26.6180 | − | 9.68815i | 0.899851 | − | 0.327519i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −26.9118 | + | 22.5817i | −0.908746 | + | 0.762529i | −0.971880 | − | 0.235476i | \(-0.924335\pi\) |
0.0631337 | + | 0.998005i | \(0.479891\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.870655 | − | 15.5496i | 0.0293665 | − | 0.524476i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 23.9428 | + | 41.4702i | 0.806654 | + | 1.39717i | 0.915169 | + | 0.403071i | \(0.132057\pi\) |
−0.108515 | + | 0.994095i | \(0.534610\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.75528 | − | 16.8966i | 0.328291 | − | 0.568617i | −0.653882 | − | 0.756597i | \(-0.726861\pi\) |
0.982173 | + | 0.187980i | \(0.0601939\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.0295411 | − | 0.0394953i | −0.000993014 | − | 0.00132762i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −9.94927 | − | 56.4251i | −0.334064 | − | 1.89457i | −0.436285 | − | 0.899808i | \(-0.643706\pi\) |
0.102221 | − | 0.994762i | \(-0.467405\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 24.7007 | + | 20.7264i | 0.828435 | + | 0.695140i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −38.5528 | − | 24.8637i | −1.29157 | − | 0.832965i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.0728269 | − | 0.0611090i | −0.00243706 | − | 0.00204494i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.83170 | + | 38.7445i | 0.228359 | + | 1.29509i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 11.7088 | + | 15.6542i | 0.390945 | + | 0.522677i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 19.0598 | − | 33.0126i | 0.635681 | − | 1.10103i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −16.4760 | − | 28.5374i | −0.548897 | − | 0.950717i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.61143 | − | 82.3586i | 0.153459 | − | 2.74072i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 51.8320 | − | 43.4922i | 1.72295 | − | 1.44573i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.65200 | + | 1.32922i | −0.121263 | + | 0.0441360i | −0.401939 | − | 0.915667i | \(-0.631664\pi\) |
0.280676 | + | 0.959803i | \(0.409441\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 19.2698 | − | 26.1278i | 0.639137 | − | 0.866604i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 4.62455 | − | 26.2271i | 0.153218 | − | 0.868943i | −0.807179 | − | 0.590307i | \(-0.799007\pi\) |
0.960397 | − | 0.278636i | \(-0.0898823\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −19.9167 | − | 7.24910i | −0.659148 | − | 0.239910i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −32.5654 | + | 34.6729i | −1.07658 | + | 1.14625i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 96.7135 | 3.19376 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −32.4014 | −1.06882 | −0.534412 | − | 0.845224i | \(-0.679467\pi\) | ||||
−0.534412 | + | 0.845224i | \(0.679467\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −14.9306 | − | 49.4675i | −0.491981 | − | 1.63001i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −12.9427 | − | 4.71075i | −0.426013 | − | 0.155056i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.81541 | − | 10.2957i | 0.0596904 | − | 0.338521i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 14.9012 | + | 15.6530i | 0.489420 | + | 0.514112i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −51.0474 | + | 18.5797i | −1.67481 | + | 0.609581i | −0.992584 | − | 0.121561i | \(-0.961210\pi\) |
−0.682226 | + | 0.731142i | \(0.738988\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.693466 | − | 0.581887i | 0.0227274 | − | 0.0190706i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 17.5048 | − | 8.84049i | 0.573082 | − | 0.289425i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −39.4753 | − | 68.3732i | −1.29098 | − | 2.23604i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −12.9856 | + | 22.4917i | −0.424221 | + | 0.734773i | −0.996347 | − | 0.0853929i | \(-0.972785\pi\) |
0.572126 | + | 0.820166i | \(0.306119\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.9951 | − | 1.78680i | 0.489348 | − | 0.0583100i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0.735542 | + | 4.17147i | 0.0239780 | + | 0.135986i | 0.994447 | − | 0.105241i | \(-0.0335614\pi\) |
−0.970469 | + | 0.241227i | \(0.922450\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.29330 | + | 1.92431i | 0.0746803 | + | 0.0626642i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −69.2261 | + | 25.7253i | −2.25192 | + | 0.836844i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 35.4120 | + | 29.7142i | 1.15073 | + | 0.965581i | 0.999737 | − | 0.0229533i | \(-0.00730689\pi\) |
0.150998 | + | 0.988534i | \(0.451751\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 2.32913 | + | 13.2092i | 0.0756068 | + | 0.428787i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −2.79197 | + | 6.51266i | −0.0905358 | + | 0.211188i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −23.4066 | + | 40.5414i | −0.758213 | + | 1.31326i | 0.185548 | + | 0.982635i | \(0.440594\pi\) |
−0.943761 | + | 0.330628i | \(0.892739\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −31.2463 | − | 54.1203i | −1.01111 | − | 1.75129i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 42.2423 | + | 27.6476i | 1.36550 | + | 0.893721i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 8.84575 | − | 7.42247i | 0.285644 | − | 0.239684i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −12.6272 | + | 4.59592i | −0.407328 | + | 0.148255i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 20.1512 | + | 10.0073i | 0.649362 | + | 0.322481i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 12.2057 | − | 69.2217i | 0.392914 | − | 2.22833i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 41.3709 | + | 15.0578i | 1.33040 | + | 0.484226i | 0.906776 | − | 0.421613i | \(-0.138536\pi\) |
0.423623 | + | 0.905839i | \(0.360758\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.458394 | + | 0.107555i | 0.0147257 | + | 0.00345518i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −37.4460 | −1.20170 | −0.600849 | − | 0.799363i | \(-0.705171\pi\) | ||||
−0.600849 | + | 0.799363i | \(0.705171\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −42.5034 | −1.36260 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −10.7732 | − | 2.52777i | −0.345017 | − | 0.0809533i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −47.5171 | − | 17.2948i | −1.52021 | − | 0.553310i | −0.559006 | − | 0.829163i | \(-0.688817\pi\) |
−0.961200 | + | 0.275854i | \(0.911040\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.50676 | + | 48.2442i | −0.271877 | + | 1.54189i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −14.1036 | − | 7.00398i | −0.450292 | − | 0.223620i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 41.7808 | − | 15.2070i | 1.33260 | − | 0.485027i | 0.425126 | − | 0.905134i | \(-0.360230\pi\) |
0.907474 | + | 0.420108i | \(0.138008\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.98311 | + | 6.69863i | −0.254363 | + | 0.213436i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 13.9345 | + | 9.12016i | 0.443541 | + | 0.290298i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −25.1838 | − | 43.6196i | −0.800799 | − | 1.38702i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −24.6074 | + | 42.6213i | −0.781680 | + | 1.35391i | 0.149282 | + | 0.988795i | \(0.452304\pi\) |
−0.930962 | + | 0.365115i | \(0.881030\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 10.3026 | − | 24.0323i | 0.326944 | − | 0.762643i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 12.5218 | + | 71.0149i | 0.396969 | + | 2.25132i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 32.3050 | + | 27.1071i | 1.02311 | + | 0.858490i | 0.990015 | − | 0.140962i | \(-0.0450197\pi\) |
0.0330934 | + | 0.999452i | \(0.489464\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 3.01725 | − | 17.8120i | 0.0954615 | − | 0.563548i |
(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 | 864.2.y.c.97.9 | yes | 54 | |
4.3 | odd | 2 | 864.2.y.b.97.1 | ✓ | 54 | ||
27.22 | even | 9 | inner | 864.2.y.c.481.9 | yes | 54 | |
108.103 | odd | 18 | 864.2.y.b.481.1 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.b.97.1 | ✓ | 54 | 4.3 | odd | 2 | ||
864.2.y.b.481.1 | yes | 54 | 108.103 | odd | 18 | ||
864.2.y.c.97.9 | yes | 54 | 1.1 | even | 1 | trivial | |
864.2.y.c.481.9 | yes | 54 | 27.22 | even | 9 | inner |