Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(25,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.q (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: | \(1.72476868366\) |
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 | 25.1 | ||
Character | \(\chi\) | \(=\) | 216.25 |
Dual form | 216.2.q.a.121.1 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{9}\right)\) |
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 | ||||||||
\(3\) | −1.66239 | − | 0.486282i | −0.959779 | − | 0.280755i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.11828 | + | 1.77745i | −0.947324 | + | 0.794899i | −0.978845 | − | 0.204604i | \(-0.934409\pi\) |
0.0315211 | + | 0.999503i | \(0.489965\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.34143 | − | 1.58015i | 1.64091 | − | 0.597241i | 0.653708 | − | 0.756747i | \(-0.273212\pi\) |
0.987197 | + | 0.159506i | \(0.0509902\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.52706 | + | 1.61678i | 0.842353 | + | 0.538926i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.54255 | + | 2.13345i | 0.766606 | + | 0.643259i | 0.939837 | − | 0.341622i | \(-0.110976\pi\) |
−0.173231 | + | 0.984881i | \(0.555421\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.625780 | + | 3.54898i | 0.173560 | + | 0.984309i | 0.939793 | + | 0.341746i | \(0.111018\pi\) |
−0.766232 | + | 0.642564i | \(0.777871\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.38574 | − | 1.92472i | 1.13239 | − | 0.496962i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.18168 | + | 2.04672i | 0.286599 | + | 0.496403i | 0.972996 | − | 0.230824i | \(-0.0741421\pi\) |
−0.686397 | + | 0.727227i | \(0.740809\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.11760 | − | 1.93575i | 0.256396 | − | 0.444091i | −0.708878 | − | 0.705331i | \(-0.750798\pi\) |
0.965274 | + | 0.261240i | \(0.0841315\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −7.98553 | + | 0.515662i | −1.74259 | + | 0.112527i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.65318 | + | 0.965678i | 0.553226 | + | 0.201358i | 0.603479 | − | 0.797379i | \(-0.293781\pi\) |
−0.0502532 | + | 0.998737i | \(0.516003\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.459548 | − | 2.60623i | 0.0919097 | − | 0.521246i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −3.41474 | − | 3.91658i | −0.657167 | − | 0.753745i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.17009 | − | 6.63591i | 0.217280 | − | 1.23226i | −0.659625 | − | 0.751595i | \(-0.729285\pi\) |
0.876905 | − | 0.480663i | \(-0.159604\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.26703 | − | 3.00895i | −1.48480 | − | 0.540424i | −0.532727 | − | 0.846287i | \(-0.678833\pi\) |
−0.952075 | + | 0.305864i | \(0.901055\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.18924 | − | 4.78301i | −0.555175 | − | 0.832616i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −6.38772 | + | 11.0639i | −1.07972 | + | 1.87013i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.78335 | + | 6.55296i | 0.621979 | + | 1.07730i | 0.989117 | + | 0.147133i | \(0.0470045\pi\) |
−0.367137 | + | 0.930167i | \(0.619662\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.685516 | − | 6.20408i | 0.109770 | − | 0.993448i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.644709 | + | 3.65633i | 0.100687 | + | 0.571022i | 0.992856 | + | 0.119321i | \(0.0380717\pi\) |
−0.892169 | + | 0.451702i | \(0.850817\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.43937 | + | 3.72507i | 0.676997 | + | 0.568068i | 0.915127 | − | 0.403165i | \(-0.132090\pi\) |
−0.238130 | + | 0.971233i | \(0.576534\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −8.22676 | + | 1.06693i | −1.22637 | + | 0.159048i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.67045 | + | 2.79181i | −1.11885 | + | 0.407228i | −0.834232 | − | 0.551413i | \(-0.814089\pi\) |
−0.284618 | + | 0.958641i | \(0.591867\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 10.9888 | − | 9.22070i | 1.56983 | − | 1.31724i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.969117 | − | 3.97707i | −0.135704 | − | 0.556902i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −9.41409 | −1.29312 | −0.646562 | − | 0.762861i | \(-0.723794\pi\) | ||||
−0.646562 | + | 0.762861i | \(0.723794\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −9.17792 | −1.23755 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.79921 | + | 2.67449i | −0.370765 | + | 0.354245i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.40831 | − | 4.53811i | 0.704103 | − | 0.590812i | −0.218835 | − | 0.975762i | \(-0.570226\pi\) |
0.922938 | + | 0.384950i | \(0.125781\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.50974 | − | 2.36935i | 0.833487 | − | 0.303364i | 0.110198 | − | 0.993910i | \(-0.464852\pi\) |
0.723289 | + | 0.690545i | \(0.242629\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 13.5258 | + | 3.02599i | 1.70409 | + | 0.381239i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −7.63370 | − | 6.40544i | −0.946844 | − | 0.794497i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.00705 | − | 11.3825i | −0.245200 | − | 1.39060i | −0.820027 | − | 0.572324i | \(-0.806042\pi\) |
0.574827 | − | 0.818275i | \(-0.305069\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −3.94102 | − | 2.89552i | −0.474443 | − | 0.348580i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.871998 | + | 1.51035i | 0.103487 | + | 0.179245i | 0.913119 | − | 0.407693i | \(-0.133667\pi\) |
−0.809632 | + | 0.586938i | \(0.800333\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.68885 | + | 6.38927i | −0.431747 | + | 0.747808i | −0.997024 | − | 0.0770935i | \(-0.975436\pi\) |
0.565277 | + | 0.824901i | \(0.308769\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.03131 | + | 4.10909i | −0.234555 | + | 0.474477i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 14.4094 | + | 5.24461i | 1.64211 | + | 0.597679i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.147982 | − | 0.839245i | 0.0166492 | − | 0.0944224i | −0.975351 | − | 0.220660i | \(-0.929179\pi\) |
0.992000 | + | 0.126237i | \(0.0402901\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.77205 | + | 8.17139i | 0.419117 | + | 0.907932i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.93014 | − | 10.9464i | 0.211861 | − | 1.20152i | −0.674411 | − | 0.738356i | \(-0.735602\pi\) |
0.886272 | − | 0.463166i | \(-0.153287\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.14106 | − | 2.23516i | −0.666092 | − | 0.242438i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −5.17207 | + | 10.4625i | −0.554504 | + | 1.12169i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.35169 | − | 11.0015i | 0.673278 | − | 1.16615i | −0.303691 | − | 0.952771i | \(-0.598219\pi\) |
0.976969 | − | 0.213381i | \(-0.0684476\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.32470 | + | 14.4188i | 0.872665 | + | 1.51150i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 12.2798 | + | 9.02215i | 1.27336 | + | 0.935554i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.07329 | + | 6.08694i | 0.110117 | + | 0.624507i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.46774 | + | 1.23158i | 0.149027 | + | 0.125048i | 0.714253 | − | 0.699888i | \(-0.246767\pi\) |
−0.565226 | + | 0.824936i | \(0.691211\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.97585 | + | 9.50209i | 0.299084 | + | 0.954996i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.02762 | + | 1.10196i | −0.301260 | + | 0.109649i | −0.488227 | − | 0.872717i | \(-0.662356\pi\) |
0.186968 | + | 0.982366i | \(0.440134\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −12.7021 | + | 10.6584i | −1.25158 | + | 1.05020i | −0.255052 | + | 0.966927i | \(0.582093\pi\) |
−0.996527 | + | 0.0832718i | \(0.973463\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 15.9990 | − | 15.2862i | 1.56135 | − | 1.49178i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.34451 | −0.323326 | −0.161663 | − | 0.986846i | \(-0.551686\pi\) | ||||
−0.161663 | + | 0.986846i | \(0.551686\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.3909 | −1.09105 | −0.545525 | − | 0.838095i | \(-0.683670\pi\) | ||||
−0.545525 | + | 0.838095i | \(0.683670\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −3.10281 | − | 12.7333i | −0.294505 | − | 1.20859i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.75081 | − | 8.18190i | 0.917279 | − | 0.769688i | −0.0562110 | − | 0.998419i | \(-0.517902\pi\) |
0.973490 | + | 0.228731i | \(0.0734575\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −7.33662 | + | 2.67031i | −0.684143 | + | 0.249008i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −4.15653 | + | 9.98022i | −0.384271 | + | 0.922672i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 8.36429 | + | 7.01847i | 0.766753 | + | 0.643382i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.00280367 | + | 0.0159004i | 0.000254879 | + | 0.00144549i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.706251 | − | 6.39174i | 0.0636805 | − | 0.576324i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −3.25406 | − | 5.63620i | −0.291052 | − | 0.504117i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.27394 | − | 7.40269i | 0.379251 | − | 0.656882i | −0.611702 | − | 0.791088i | \(-0.709515\pi\) |
0.990954 | + | 0.134206i | \(0.0428483\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.56851 | − | 8.35129i | −0.490280 | − | 0.735290i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −3.25409 | − | 1.18439i | −0.284311 | − | 0.103481i | 0.195928 | − | 0.980618i | \(-0.437228\pi\) |
−0.480239 | + | 0.877138i | \(0.659450\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.79323 | − | 10.1699i | 0.155492 | − | 0.881841i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 14.1949 | + | 2.22688i | 1.22170 | + | 0.191660i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 0.327558 | − | 1.85767i | 0.0279852 | − | 0.158712i | −0.967613 | − | 0.252439i | \(-0.918767\pi\) |
0.995598 | + | 0.0937276i | \(0.0298783\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.10386 | + | 1.12971i | 0.263266 | + | 0.0958209i | 0.470281 | − | 0.882517i | \(-0.344153\pi\) |
−0.207015 | + | 0.978338i | \(0.566375\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 14.1089 | − | 0.911073i | 1.18818 | − | 0.0767262i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −5.98049 | + | 10.3585i | −0.500114 | + | 0.866222i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.31641 | + | 16.1365i | 0.773686 | + | 1.34006i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −22.7515 | + | 9.98471i | −1.87651 | + | 0.823525i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.792869 | + | 4.49658i | 0.0649544 | + | 0.368374i | 0.999907 | + | 0.0136032i | \(0.00433015\pi\) |
−0.934953 | + | 0.354771i | \(0.884559\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.71749 | − | 3.11934i | −0.302525 | − | 0.253848i | 0.478870 | − | 0.877886i | \(-0.341047\pi\) |
−0.781394 | + | 0.624038i | \(0.785491\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.322932 | + | 7.08270i | −0.0261075 | + | 0.572602i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 22.8601 | − | 8.32041i | 1.83617 | − | 0.668311i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.0493 | + | 12.6279i | −1.20107 | + | 1.00782i | −0.201469 | + | 0.979495i | \(0.564572\pi\) |
−0.999599 | + | 0.0283209i | \(0.990984\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 15.6499 | + | 4.57791i | 1.24111 | + | 0.363052i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 13.0445 | 1.02805 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.709003 | −0.0555334 | −0.0277667 | − | 0.999614i | \(-0.508840\pi\) | ||||
−0.0277667 | + | 0.999614i | \(0.508840\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 15.2573 | + | 4.46306i | 1.18778 | + | 0.347449i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −4.31039 | + | 3.61685i | −0.333548 | + | 0.279880i | −0.794144 | − | 0.607730i | \(-0.792080\pi\) |
0.460595 | + | 0.887610i | \(0.347636\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.0123641 | − | 0.00450016i | 0.000951084 | − | 0.000346166i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 5.95393 | − | 3.08483i | 0.455308 | − | 0.235903i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −15.9699 | − | 13.4004i | −1.21417 | − | 1.01881i | −0.999109 | − | 0.0422116i | \(-0.986560\pi\) |
−0.215064 | − | 0.976600i | \(-0.568996\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.12314 | − | 12.0409i | −0.160494 | − | 0.910207i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −11.1975 | + | 4.91413i | −0.841657 | + | 0.369369i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −6.53207 | − | 11.3139i | −0.488229 | − | 0.845638i | 0.511679 | − | 0.859177i | \(-0.329024\pi\) |
−0.999908 | + | 0.0135385i | \(0.995690\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.05258 | − | 5.28722i | 0.226896 | − | 0.392996i | −0.729990 | − | 0.683457i | \(-0.760475\pi\) |
0.956887 | + | 0.290461i | \(0.0938088\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −11.9739 | + | 0.773207i | −0.885135 | + | 0.0571571i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −19.6617 | − | 7.15629i | −1.44556 | − | 0.526141i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.36211 | + | 7.72493i | −0.0996076 | + | 0.564903i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −21.0136 | − | 11.6077i | −1.52852 | − | 0.844338i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.07106 | − | 11.7456i | 0.149857 | − | 0.849881i | −0.813481 | − | 0.581591i | \(-0.802430\pi\) |
0.963338 | − | 0.268290i | \(-0.0864585\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.20202 | + | 0.801470i | 0.158505 | + | 0.0576911i | 0.420054 | − | 0.907499i | \(-0.362011\pi\) |
−0.261549 | + | 0.965190i | \(0.584233\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 9.57531 | + | 14.3604i | 0.685703 | + | 1.02837i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.00559 | + | 3.47378i | −0.142892 | + | 0.247497i | −0.928585 | − | 0.371121i | \(-0.878974\pi\) |
0.785692 | + | 0.618618i | \(0.212307\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.11561 | − | 12.3246i | −0.504413 | − | 0.873668i | −0.999987 | − | 0.00510268i | \(-0.998376\pi\) |
0.495574 | − | 0.868565i | \(-0.334958\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.19864 | + | 19.8982i | −0.155080 | + | 1.40351i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −5.40587 | − | 30.6582i | −0.379418 | − | 2.15179i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.86461 | − | 6.59919i | −0.549288 | − | 0.460907i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.14345 | + | 6.72993i | 0.357495 | + | 0.467762i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.97138 | − | 2.53738i | 0.482220 | − | 0.175514i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.4783 | + | 9.63148i | −0.790202 | + | 0.663058i | −0.945795 | − | 0.324763i | \(-0.894715\pi\) |
0.155593 | + | 0.987821i | \(0.450271\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.715144 | − | 2.93482i | −0.0490009 | − | 0.201090i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −16.0249 | −1.09289 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −40.6453 | −2.75918 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 9.23928 | − | 8.82762i | 0.624333 | − | 0.596515i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.52430 | + | 5.47454i | −0.438872 | + | 0.368257i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 16.3575 | − | 5.95364i | 1.09538 | − | 0.398685i | 0.269768 | − | 0.962925i | \(-0.413053\pi\) |
0.825610 | + | 0.564241i | \(0.190831\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.37500 | − | 5.84310i | 0.358333 | − | 0.389540i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −2.34376 | − | 1.96665i | −0.155561 | − | 0.130531i | 0.561685 | − | 0.827351i | \(-0.310153\pi\) |
−0.717246 | + | 0.696820i | \(0.754598\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.97712 | − | 11.2128i | −0.130652 | − | 0.740963i | −0.977789 | − | 0.209590i | \(-0.932787\pi\) |
0.847138 | − | 0.531374i | \(-0.178324\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −21.4037 | − | 15.7256i | −1.40826 | − | 1.03467i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.4791 | + | 21.6145i | 0.817534 | + | 1.41601i | 0.907494 | + | 0.420065i | \(0.137993\pi\) |
−0.0899604 | + | 0.995945i | \(0.528674\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.2859 | − | 19.5477i | 0.736208 | − | 1.27515i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.654112 | + | 1.32319i | −0.0424892 | + | 0.0859503i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.80287 | + | 2.11207i | 0.375357 | + | 0.136619i | 0.522808 | − | 0.852451i | \(-0.324885\pi\) |
−0.147451 | + | 0.989069i | \(0.547107\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.690567 | + | 3.91640i | −0.0444833 | + | 0.252277i | −0.998938 | − | 0.0460792i | \(-0.985327\pi\) |
0.954454 | + | 0.298357i | \(0.0964385\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −2.29701 | − | 15.4183i | −0.147353 | − | 0.989084i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.88805 | + | 39.0641i | −0.440061 | + | 2.49571i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.56930 | + | 2.75500i | 0.481623 | + | 0.175296i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −8.53168 | + | 17.2585i | −0.540673 | + | 1.09372i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.38045 | − | 14.5154i | 0.528970 | − | 0.916202i | −0.470460 | − | 0.882421i | \(-0.655912\pi\) |
0.999429 | − | 0.0337807i | \(-0.0107548\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.68560 | + | 8.11571i | 0.294581 | + | 0.510230i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 9.12190 | + | 6.70200i | 0.571236 | + | 0.419695i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.87433 | + | 21.9724i | 0.241674 | + | 1.37060i | 0.828092 | + | 0.560593i | \(0.189427\pi\) |
−0.586417 | + | 0.810009i | \(0.699462\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 26.7798 | + | 22.4709i | 1.66402 | + | 1.39628i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 13.6857 | − | 14.8776i | 0.847123 | − | 0.920898i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −11.9772 | + | 4.35936i | −0.738549 | + | 0.268810i | −0.683779 | − | 0.729689i | \(-0.739665\pi\) |
−0.0547697 | + | 0.998499i | \(0.517442\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 19.9417 | − | 16.7331i | 1.22501 | − | 1.02790i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −15.9088 | + | 15.2000i | −0.973601 | + | 0.930222i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.74287 | 0.594033 | 0.297017 | − | 0.954872i | \(-0.404008\pi\) | ||||
0.297017 | + | 0.954872i | \(0.404008\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.82022 | 0.110571 | 0.0552853 | − | 0.998471i | \(-0.482393\pi\) | ||||
0.0552853 | + | 0.998471i | \(0.482393\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −6.82726 | − | 28.0178i | −0.413205 | − | 1.69571i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.72868 | − | 5.64603i | 0.405755 | − | 0.340469i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.76497 | + | 1.37034i | −0.226215 | + | 0.0823356i | −0.452641 | − | 0.891693i | \(-0.649518\pi\) |
0.226426 | + | 0.974028i | \(0.427296\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −16.0265 | − | 20.9698i | −0.959479 | − | 1.25543i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −14.5917 | − | 12.2439i | −0.870470 | − | 0.730411i | 0.0937269 | − | 0.995598i | \(-0.470122\pi\) |
−0.964197 | + | 0.265187i | \(0.914566\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.74210 | + | 26.8938i | 0.281889 | + | 1.59867i | 0.716191 | + | 0.697904i | \(0.245884\pi\) |
−0.434302 | + | 0.900767i | \(0.643005\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 1.17575 | − | 10.6408i | 0.0696451 | − | 0.630305i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 8.57650 | + | 14.8549i | 0.506255 | + | 0.876859i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.70728 | − | 9.88531i | 0.335723 | − | 0.581489i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.84106 | − | 2.76110i | −0.107925 | − | 0.161859i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 29.5763 | + | 10.7649i | 1.72787 | + | 0.628893i | 0.998475 | − | 0.0552016i | \(-0.0175802\pi\) |
0.729393 | + | 0.684094i | \(0.239802\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.39006 | + | 19.2260i | −0.197377 | + | 1.11938i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.326315 | − | 17.2432i | −0.0189347 | − | 1.00055i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −1.76686 | + | 10.0204i | −0.102180 | + | 0.579493i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 25.1594 | + | 9.15726i | 1.45016 | + | 0.527816i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 5.56894 | − | 0.359612i | 0.319927 | − | 0.0206591i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −9.57806 | + | 16.5897i | −0.548438 | + | 0.949922i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.20856 | + | 12.4856i | 0.411414 | + | 0.712590i | 0.995045 | − | 0.0994290i | \(-0.0317016\pi\) |
−0.583630 | + | 0.812019i | \(0.698368\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 26.2988 | − | 11.5415i | 1.49609 | − | 0.656572i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.498129 | − | 2.82503i | −0.0282463 | − | 0.160193i | 0.967422 | − | 0.253169i | \(-0.0814729\pi\) |
−0.995668 | + | 0.0929766i | \(0.970362\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −23.9823 | − | 20.1235i | −1.35556 | − | 1.13745i | −0.977327 | − | 0.211738i | \(-0.932088\pi\) |
−0.378232 | − | 0.925711i | \(-0.623468\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −34.0300 | + | 17.6315i | −1.91737 | + | 0.993422i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 21.4752 | − | 7.81635i | 1.20617 | − | 0.439010i | 0.340796 | − | 0.940137i | \(-0.389303\pi\) |
0.865374 | + | 0.501127i | \(0.167081\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 17.1324 | − | 14.3758i | 0.959230 | − | 0.804889i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5.55987 | + | 1.62638i | 0.310322 | + | 0.0907755i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.28259 | 0.293931 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.53702 | 0.529019 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 18.9361 | + | 5.53919i | 1.04717 | + | 0.306318i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −28.8892 | + | 24.2409i | −1.59271 | + | 1.33645i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.915128 | − | 0.333080i | 0.0503000 | − | 0.0183077i | −0.316748 | − | 0.948510i | \(-0.602591\pi\) |
0.367048 | + | 0.930202i | \(0.380369\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.03393 | + | 22.6766i | −0.0566589 | + | 1.24267i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 24.4834 | + | 20.5440i | 1.33767 | + | 1.12244i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.485242 | + | 2.75194i | 0.0264328 | + | 0.149908i | 0.995168 | − | 0.0981905i | \(-0.0313054\pi\) |
−0.968735 | + | 0.248098i | \(0.920194\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −20.1883 | + | 8.85983i | −1.09648 | + | 0.481200i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −14.5999 | − | 25.2877i | −0.790626 | − | 1.36940i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.9668 | − | 29.3874i | 0.916122 | − | 1.58677i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 13.4948 | − | 0.871422i | 0.726537 | − | 0.0469158i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −11.6858 | − | 4.25327i | −0.627325 | − | 0.228327i | 0.00874184 | − | 0.999962i | \(-0.497217\pi\) |
−0.636066 | + | 0.771634i | \(0.719440\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.0590634 | − | 0.334965i | 0.00316159 | − | 0.0179303i | −0.983186 | − | 0.182606i | \(-0.941547\pi\) |
0.986348 | + | 0.164676i | \(0.0526578\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 11.7630 | − | 14.5697i | 0.627860 | − | 0.777676i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −3.05796 | + | 17.3425i | −0.162759 | + | 0.923050i | 0.788587 | + | 0.614924i | \(0.210813\pi\) |
−0.951345 | + | 0.308127i | \(0.900298\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.53170 | − | 1.64940i | −0.240518 | − | 0.0875412i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −10.4917 | − | 15.7348i | −0.555281 | − | 0.832775i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 7.74104 | − | 13.4079i | 0.408556 | − | 0.707641i | −0.586172 | − | 0.810187i | \(-0.699366\pi\) |
0.994728 | + | 0.102546i | \(0.0326990\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.00192 | + | 12.1277i | 0.368522 | + | 0.638299i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.00307130 | − | 0.0277960i | 0.000161201 | − | 0.00145891i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −3.54259 | − | 20.0910i | −0.185427 | − | 1.05161i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.3877 | − | 13.7509i | −0.855429 | − | 0.717790i | 0.105550 | − | 0.994414i | \(-0.466340\pi\) |
−0.960978 | + | 0.276624i | \(0.910784\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −4.28225 | + | 10.2821i | −0.222925 | + | 0.535265i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −40.8706 | + | 14.8757i | −2.12190 | + | 0.772307i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.72428 | − | 4.80324i | 0.296392 | − | 0.248702i | −0.482449 | − | 0.875924i | \(-0.660253\pi\) |
0.778841 | + | 0.627222i | \(0.215808\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.66873 | + | 10.9519i | 0.137812 | + | 0.565556i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 24.2829 | 1.25063 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.42680 | 0.124656 | 0.0623282 | − | 0.998056i | \(-0.480147\pi\) | ||||
0.0623282 | + | 0.998056i | \(0.480147\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −10.7047 | + | 10.2278i | −0.548421 | + | 0.523986i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 2.53202 | − | 2.12462i | 0.129380 | − | 0.108563i | −0.575801 | − | 0.817590i | \(-0.695310\pi\) |
0.705182 | + | 0.709027i | \(0.250865\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −39.8453 | + | 14.5025i | −2.03070 | + | 0.739115i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 5.19593 | + | 16.5909i | 0.264124 | + | 0.843365i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 13.7988 | + | 11.5785i | 0.699624 | + | 0.587055i | 0.921667 | − | 0.387982i | \(-0.126828\pi\) |
−0.222042 | + | 0.975037i | \(0.571272\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.15872 | + | 6.57144i | 0.0585991 | + | 0.332332i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 4.83360 | + | 3.55132i | 0.243823 | + | 0.179140i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 1.17825 | + | 2.04079i | 0.0592841 | + | 0.102683i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.5962 | − | 27.0133i | 0.782748 | − | 1.35576i | −0.147587 | − | 0.989049i | \(-0.547151\pi\) |
0.930335 | − | 0.366711i | \(-0.119516\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −7.92647 | + | 16.0343i | −0.396820 | + | 0.802718i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −31.3540 | − | 11.4119i | −1.56575 | − | 0.569885i | −0.593702 | − | 0.804685i | \(-0.702334\pi\) |
−0.972044 | + | 0.234800i | \(0.924556\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.50536 | − | 31.2224i | 0.274241 | − | 1.55530i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −22.5145 | − | 10.6047i | −1.11875 | − | 0.526950i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −4.36106 | + | 24.7328i | −0.216170 | + | 1.22596i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.73494 | + | 3.17926i | 0.431915 | + | 0.157204i | 0.548823 | − | 0.835938i | \(-0.315076\pi\) |
−0.116908 | + | 0.993143i | \(0.537298\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.44788 | + | 2.92889i | −0.0714188 | + | 0.144471i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 16.3089 | − | 28.2478i | 0.802508 | − | 1.38999i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 15.3681 | + | 26.6183i | 0.754388 | + | 1.30664i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −4.61045 | − | 3.38737i | −0.225775 | − | 0.165880i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 3.67038 | + | 20.8157i | 0.179310 | + | 1.01692i | 0.933051 | + | 0.359744i | \(0.117136\pi\) |
−0.753741 | + | 0.657171i | \(0.771753\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.2843 | + | 17.8597i | 1.03733 | + | 0.870427i | 0.991705 | − | 0.128532i | \(-0.0410264\pi\) |
0.0456287 | + | 0.998958i | \(0.485471\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −23.8974 | − | 5.34633i | −1.16193 | − | 0.259948i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 5.87726 | − | 2.13915i | 0.285089 | − | 0.103764i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 24.5176 | − | 20.5727i | 1.18649 | − | 0.995584i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 14.9790 | − | 14.3116i | 0.723195 | − | 0.690973i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −15.7090 | −0.756675 | −0.378337 | − | 0.925668i | \(-0.623504\pi\) | ||||
−0.378337 | + | 0.925668i | \(0.623504\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 28.0524 | 1.34811 | 0.674055 | − | 0.738681i | \(-0.264551\pi\) | ||||
0.674055 | + | 0.738681i | \(0.264551\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −7.64058 | − | 31.3555i | −0.366338 | − | 1.50338i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.83451 | − | 4.05664i | 0.231266 | − | 0.194055i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −30.0365 | + | 10.9324i | −1.43356 | + | 0.521774i | −0.937950 | − | 0.346770i | \(-0.887279\pi\) |
−0.495612 | + | 0.868544i | \(0.665056\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 42.6772 | − | 5.53479i | 2.03225 | − | 0.263562i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.1517 | + | 12.7138i | 0.719877 | + | 0.604049i | 0.927351 | − | 0.374192i | \(-0.122080\pi\) |
−0.207474 | + | 0.978241i | \(0.566524\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.09985 | + | 34.5940i | 0.289161 | + | 1.63991i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.868554 | − | 7.86062i | 0.0410812 | − | 0.371794i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −16.2934 | − | 28.2210i | −0.768934 | − | 1.33183i | −0.938142 | − | 0.346252i | \(-0.887454\pi\) |
0.169208 | − | 0.985580i | \(-0.445879\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.16139 | + | 10.6718i | −0.290128 | + | 0.502517i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 4.66302 | + | 6.99330i | 0.219088 | + | 0.328574i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −43.2627 | − | 15.7463i | −2.02819 | − | 0.738200i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.35282 | − | 13.3435i | 0.110060 | − | 0.624184i | −0.879017 | − | 0.476790i | \(-0.841800\pi\) |
0.989078 | − | 0.147394i | \(-0.0470885\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.98103 | − | 11.6171i | 0.185819 | − | 0.542242i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −2.81027 | + | 15.9378i | −0.130887 | + | 0.742298i | 0.846749 | + | 0.531993i | \(0.178557\pi\) |
−0.977636 | + | 0.210305i | \(0.932554\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.5533 | − | 7.48077i | −0.955191 | − | 0.347661i | −0.183044 | − | 0.983105i | \(-0.558595\pi\) |
−0.772147 | + | 0.635444i | \(0.780817\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −42.0485 | + | 2.71526i | −1.94995 | + | 0.125917i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 9.27401 | − | 16.0631i | 0.429150 | − | 0.743309i | −0.567648 | − | 0.823271i | \(-0.692147\pi\) |
0.996798 | + | 0.0799620i | \(0.0254799\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −26.6996 | − | 46.2450i | −1.23287 | − | 2.13540i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 31.1585 | − | 13.6742i | 1.43571 | − | 0.630075i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.34004 | + | 18.9423i | 0.153575 | + | 0.870969i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.53141 | − | 3.80230i | −0.207915 | − | 0.174462i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −23.7900 | − | 15.2205i | −1.08927 | − | 0.696899i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 9.59880 | − | 3.49368i | 0.438580 | − | 0.159630i | −0.113287 | − | 0.993562i | \(-0.536138\pi\) |
0.551867 | + | 0.833932i | \(0.313916\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −20.8888 | + | 17.5277i | −0.952445 | + | 0.799196i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −21.6850 | − | 6.34331i | −0.986702 | − | 0.288631i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −5.29817 | −0.240577 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −26.5602 | −1.20356 | −0.601779 | − | 0.798663i | \(-0.705541\pi\) | ||||
−0.601779 | + | 0.798663i | \(0.705541\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.17864 | + | 0.344776i | 0.0532998 | + | 0.0155913i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −11.3296 | + | 9.50662i | −0.511296 | + | 0.429028i | −0.861585 | − | 0.507614i | \(-0.830528\pi\) |
0.350289 | + | 0.936642i | \(0.386083\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 14.9645 | − | 5.44665i | 0.673969 | − | 0.245305i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −23.1931 | − | 14.8387i | −1.04245 | − | 0.666948i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 6.17229 | + | 5.17917i | 0.276865 | + | 0.232317i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.41756 | + | 30.7245i | 0.242523 | + | 1.37542i | 0.826175 | + | 0.563414i | \(0.190512\pi\) |
−0.583651 | + | 0.812004i | \(0.698377\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.92435 | − | 3.91653i | 0.398711 | − | 0.174978i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 13.4588 | + | 23.3113i | 0.600098 | + | 1.03940i | 0.992806 | + | 0.119737i | \(0.0382052\pi\) |
−0.392707 | + | 0.919663i | \(0.628461\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.45467 | − | 7.71571i | 0.198230 | − | 0.343344i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.0227422 | + | 0.00146857i | −0.00101002 | + | 6.52214e-5i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.66994 | − | 0.607808i | −0.0740187 | − | 0.0269406i | 0.304745 | − | 0.952434i | \(-0.401429\pi\) |
−0.378764 | + | 0.925493i | \(0.623651\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.91886 | + | 33.5675i | −0.261835 | + | 1.48494i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −11.3978 | + | 2.23289i | −0.503226 | + | 0.0985845i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 7.96201 | − | 45.1548i | 0.350848 | − | 1.98976i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −25.4587 | − | 9.26620i | −1.11967 | − | 0.407527i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 20.0319 | + | 30.0425i | 0.879301 | + | 1.31872i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −6.86853 | + | 11.8966i | −0.300916 | + | 0.521201i | −0.976344 | − | 0.216225i | \(-0.930626\pi\) |
0.675428 | + | 0.737426i | \(0.263959\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.2719 | − | 28.1837i | −0.711519 | − | 1.23239i | −0.964287 | − | 0.264860i | \(-0.914674\pi\) |
0.252768 | − | 0.967527i | \(-0.418659\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −2.32581 | + | 21.0491i | −0.101506 | + | 0.918657i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −3.61046 | − | 20.4759i | −0.157274 | − | 0.891945i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.5122 | − | 9.65988i | −0.500530 | − | 0.419995i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 21.0043 | − | 2.72404i | 0.911507 | − | 0.118213i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −12.5728 | + | 4.57612i | −0.544587 | + | 0.198214i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 7.08461 | − | 5.94470i | 0.306295 | − | 0.257012i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 5.35708 | + | 21.9845i | 0.231175 | + | 0.948699i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 47.6114 | 2.05077 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −33.8894 | −1.45702 | −0.728511 | − | 0.685035i | \(-0.759787\pi\) | ||||
−0.728511 | + | 0.685035i | \(0.759787\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.64565 | + | 7.30499i | −0.328106 | + | 0.313487i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 24.1291 | − | 20.2467i | 1.03358 | − | 0.867275i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.06227 | + | 0.750604i | −0.0881762 | + | 0.0320935i | −0.385732 | − | 0.922611i | \(-0.626051\pi\) |
0.297555 | + | 0.954705i | \(0.403829\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 20.2812 | + | 4.53732i | 0.865581 | + | 0.193648i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −11.5378 | − | 9.68132i | −0.491525 | − | 0.412438i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.683682 | − | 3.87735i | −0.0290731 | − | 0.164882i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 29.2054 | + | 21.4577i | 1.23970 | + | 0.910828i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 8.46632 | + | 14.6641i | 0.358730 | + | 0.621338i | 0.987749 | − | 0.156052i | \(-0.0498767\pi\) |
−0.629019 | + | 0.777390i | \(0.716543\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −10.4421 | + | 18.0863i | −0.441655 | + | 0.764968i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.02086 | − | 12.1795i | 0.254201 | − | 0.514217i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 22.9078 | + | 8.33777i | 0.965451 | + | 0.351395i | 0.776167 | − | 0.630527i | \(-0.217161\pi\) |
0.189284 | + | 0.981922i | \(0.439383\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.11204 | + | 34.6631i | −0.257135 | + | 1.45829i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 29.2881 | + | 29.5151i | 1.22999 | + | 1.23952i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 4.14936 | − | 23.5322i | 0.173950 | − | 0.986520i | −0.765399 | − | 0.643557i | \(-0.777458\pi\) |
0.939349 | − | 0.342964i | \(-0.111431\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 13.4375 | + | 4.89084i | 0.562340 | + | 0.204675i | 0.607521 | − | 0.794304i | \(-0.292164\pi\) |
−0.0451806 | + | 0.998979i | \(0.514386\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.15458 | + | 18.5186i | −0.382438 | + | 0.773625i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3.73604 | − | 6.47102i | 0.155804 | − | 0.269860i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 5.44438 | + | 9.42994i | 0.226652 | + | 0.392573i | 0.956814 | − | 0.290701i | \(-0.0938886\pi\) |
−0.730162 | + | 0.683275i | \(0.760555\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.27087 | − | 2.40316i | −0.135933 | − | 0.0998718i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −8.91736 | − | 50.5729i | −0.369955 | − | 2.09812i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −23.9358 | − | 20.0845i | −0.991318 | − | 0.831814i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −8.93464 | − | 28.5289i | −0.369402 | − | 1.17953i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −26.9916 | + | 9.82413i | −1.11406 | + | 0.405485i | −0.832482 | − | 0.554053i | \(-0.813081\pi\) |
−0.281580 | + | 0.959538i | \(0.590858\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.0638 | + | 12.6401i | −0.620695 | + | 0.520825i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 5.02331 | − | 4.79949i | 0.206631 | − | 0.197425i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −7.61717 | −0.312800 | −0.156400 | − | 0.987694i | \(-0.549989\pi\) | ||||
−0.156400 | + | 0.987694i | \(0.549989\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −30.1929 | −1.23779 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 5.83567 | + | 23.9485i | 0.238838 | + | 0.980145i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −2.75599 | + | 2.31255i | −0.112607 | + | 0.0944882i | −0.697352 | − | 0.716728i | \(-0.745639\pi\) |
0.584746 | + | 0.811217i | \(0.301194\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.0519 | − | 5.11446i | 0.573188 | − | 0.208623i | −0.0391312 | − | 0.999234i | \(-0.512459\pi\) |
0.612319 | + | 0.790611i | \(0.290237\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 13.3311 | − | 32.0093i | 0.542885 | − | 1.30352i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.0342011 | − | 0.0286981i | −0.00139047 | − | 0.00116674i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.909063 | − | 5.15555i | −0.0368977 | − | 0.209257i | 0.960785 | − | 0.277294i | \(-0.0894376\pi\) |
−0.997683 | + | 0.0680367i | \(0.978327\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.92191 | + | 53.5946i | −0.239968 | + | 2.17176i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −14.7081 | − | 25.4752i | −0.595026 | − | 1.03062i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.5114 | − | 23.4025i | 0.545721 | − | 0.945217i | −0.452840 | − | 0.891592i | \(-0.649589\pi\) |
0.998561 | − | 0.0536249i | \(-0.0170775\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 9.86495 | + | 14.7948i | 0.397793 | + | 0.596585i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.28311 | − | 3.01480i | −0.333465 | − | 0.121371i | 0.169861 | − | 0.985468i | \(-0.445668\pi\) |
−0.503326 | + | 0.864097i | \(0.667890\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.999388 | − | 5.66781i | 0.0401688 | − | 0.227809i | −0.958114 | − | 0.286387i | \(-0.907546\pi\) |
0.998283 | + | 0.0585785i | \(0.0186568\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.27776 | − | 13.6889i | −0.211789 | − | 0.549317i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 10.1915 | − | 57.7986i | 0.408312 | − | 2.31565i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 29.3452 | + | 10.6808i | 1.17381 | + | 0.427232i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −12.8230 | + | 0.828039i | −0.512102 | + | 0.0330687i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.94139 | + | 15.4869i | −0.356517 | + | 0.617505i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.13428 | + | 7.16078i | 0.164583 | + | 0.285066i | 0.936507 | − | 0.350649i | \(-0.114039\pi\) |
−0.771924 | + | 0.635715i | \(0.780705\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 23.7651 | − | 10.4295i | 0.944577 | − | 0.414536i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 4.10448 | + | 23.2777i | 0.162881 | + | 0.923747i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 39.6006 | + | 33.2289i | 1.56903 | + | 1.31658i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.238303 | + | 5.22656i | −0.00942711 | + | 0.206760i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 36.9370 | − | 13.4440i | 1.45892 | − | 0.531004i | 0.513854 | − | 0.857878i | \(-0.328217\pi\) |
0.945068 | + | 0.326873i | \(0.105995\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −8.09074 | + | 6.78894i | −0.319068 | + | 0.267730i | −0.788228 | − | 0.615384i | \(-0.789001\pi\) |
0.469160 | + | 0.883113i | \(0.344557\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 26.6397 | + | 7.79265i | 1.04894 | + | 0.306835i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 0.453781 | 0.0178400 | 0.00891999 | − | 0.999960i | \(-0.497161\pi\) | ||||
0.00891999 | + | 0.999960i | \(0.497161\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 23.4327 | 0.919815 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 67.5682 | + | 19.7651i | 2.64821 | + | 0.774655i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 16.4351 | − | 13.7907i | 0.643154 | − | 0.539670i | −0.261831 | − | 0.965114i | \(-0.584326\pi\) |
0.904985 | + | 0.425444i | \(0.139882\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 8.99826 | − | 3.27510i | 0.351591 | − | 0.127969i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −19.6520 | + | 10.1820i | −0.766697 | + | 0.397238i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 23.9140 | + | 20.0662i | 0.931556 | + | 0.781668i | 0.976096 | − | 0.217340i | \(-0.0697379\pi\) |
−0.0445405 | + | 0.999008i | \(0.514182\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.68870 | − | 20.9197i | −0.143474 | − | 0.813680i | −0.968580 | − | 0.248703i | \(-0.919996\pi\) |
0.825106 | − | 0.564978i | \(-0.191115\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 13.5081 | − | 5.92815i | 0.524611 | − | 0.230230i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 14.2779 | + | 24.7300i | 0.553673 | + | 0.958990i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.51261 | − | 16.4763i | 0.368330 | − | 0.637966i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −30.0876 | + | 1.94289i | −1.16325 | + | 0.0751165i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 21.6062 | + | 7.86402i | 0.834098 | + | 0.303587i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.62656 | + | 26.2385i | −0.178341 | + | 1.01142i | 0.755876 | + | 0.654715i | \(0.227211\pi\) |
−0.934217 | + | 0.356705i | \(0.883900\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −11.7767 | + | 7.09973i | −0.453286 | + | 0.273269i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −5.48151 | + | 31.0872i | −0.210672 | + | 1.19478i | 0.677590 | + | 0.735440i | \(0.263024\pi\) |
−0.888262 | + | 0.459338i | \(0.848087\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 8.31819 | + | 3.02757i | 0.319223 | + | 0.116188i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 2.93989 | + | 4.40907i | 0.112657 | + | 0.168956i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −21.7798 | + | 37.7237i | −0.833380 | + | 1.44346i | 0.0619629 | + | 0.998078i | \(0.480264\pi\) |
−0.895343 | + | 0.445378i | \(0.853069\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.60806 | + | 4.51729i | 0.0996488 | + | 0.172597i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −2.16585 | + | 19.6015i | −0.0826324 | + | 0.747843i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.89115 | − | 33.4104i | −0.224435 | − | 1.27283i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.11520 | + | 1.77487i | 0.0804661 | + | 0.0675191i | 0.682134 | − | 0.731228i | \(-0.261052\pi\) |
−0.601667 | + | 0.798747i | \(0.705497\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 27.9342 | + | 36.5503i | 1.06113 | + | 1.38843i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −8.58284 | + | 3.12390i | −0.325566 | + | 0.118496i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.72165 | + | 5.64013i | −0.254601 | + | 0.213635i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −10.2344 | − | 42.0000i | −0.387100 | − | 1.58858i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −24.8495 | −0.938553 | −0.469277 | − | 0.883051i | \(-0.655485\pi\) | ||||
−0.469277 | + | 0.883051i | \(0.655485\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.9132 | 0.637892 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −28.2671 | + | 27.0077i | −1.06460 | + | 1.01717i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −11.4029 | + | 9.56819i | −0.428851 | + | 0.359849i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.0582 | − | 4.02484i | 0.415298 | − | 0.151156i | −0.125916 | − | 0.992041i | \(-0.540187\pi\) |
0.541214 | + | 0.840885i | \(0.317965\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.73083 | − | 1.88157i | 0.0649112 | − | 0.0705643i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −19.0282 | − | 15.9666i | −0.712613 | − | 0.597953i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.74336 | − | 32.5722i | −0.214790 | − | 1.21813i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −8.61955 | − | 6.33291i | −0.321903 | − | 0.236507i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.00129007 | + | 0.00223447i | 4.81115e−5 | + | 8.33316e-5i | 0.866049 | − | 0.499958i | \(-0.166651\pi\) |
−0.866001 | + | 0.500042i | \(0.833318\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −38.3036 | + | 66.3438i | −1.42650 | + | 2.47077i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 3.05246 | − | 6.17476i | 0.113522 | − | 0.229642i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −16.7570 | − | 6.09904i | −0.622339 | − | 0.226513i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.07131 | − | 45.7747i | 0.299348 | − | 1.69769i | −0.349634 | − | 0.936886i | \(-0.613694\pi\) |
0.648983 | − | 0.760803i | \(-0.275195\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −3.67912 | + | 26.7482i | −0.136264 | + | 0.990673i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −2.37829 | + | 13.4880i | −0.0879644 | + | 0.498871i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.30442 | − | 1.56668i | −0.158987 | − | 0.0578667i | 0.261300 | − | 0.965258i | \(-0.415849\pi\) |
−0.420288 | + | 0.907391i | \(0.638071\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 30.4468 | − | 61.5900i | 1.12305 | − | 2.27178i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 19.1811 | − | 33.2226i | 0.706544 | − | 1.22377i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.79306 | − | 16.9621i | −0.360244 | − | 0.623960i | 0.627757 | − | 0.778409i | \(-0.283973\pi\) |
−0.988001 | + | 0.154449i | \(0.950640\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −11.2434 | − | 8.26069i | −0.413036 | − | 0.303464i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.38694 | + | 30.5509i | 0.197628 | + | 1.12080i | 0.908627 | + | 0.417610i | \(0.137132\pi\) |
−0.710999 | + | 0.703193i | \(0.751757\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −9.67196 | − | 8.11574i | −0.354353 | − | 0.297338i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 22.5755 | − | 24.5416i | 0.825994 | − | 0.897929i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −14.5200 | + | 5.28483i | −0.530548 | + | 0.193104i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −10.2139 | + | 8.57051i | −0.372712 | + | 0.312742i | −0.809833 | − | 0.586660i | \(-0.800442\pi\) |
0.437122 | + | 0.899402i | \(0.355998\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −20.9901 | + | 20.0549i | −0.764923 | + | 0.730841i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 13.4191 | 0.488373 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.37372 | 0.0862743 | 0.0431371 | − | 0.999069i | \(-0.486265\pi\) | ||||
0.0431371 | + | 0.999069i | \(0.486265\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.84276 | − | 15.7700i | −0.139483 | − | 0.572414i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.4240 | + | 8.74680i | −0.377871 | + | 0.317071i | −0.811866 | − | 0.583844i | \(-0.801548\pi\) |
0.433995 | + | 0.900915i | \(0.357104\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −49.4527 | + | 17.9993i | −1.79031 | + | 0.651619i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −11.9051 | − | 15.5771i | −0.430429 | − | 0.563193i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 19.4901 | + | 16.3541i | 0.703746 | + | 0.590513i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −8.98950 | − | 50.9820i | −0.324170 | − | 1.83846i | −0.515446 | − | 0.856922i | \(-0.672374\pi\) |
0.191276 | − | 0.981536i | \(-0.438737\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4.24416 | − | 38.4107i | 0.152850 | − | 1.38333i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −8.50609 | − | 14.7330i | −0.305943 | − | 0.529909i | 0.671528 | − | 0.740979i | \(-0.265638\pi\) |
−0.977471 | + | 0.211071i | \(0.932305\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −11.6411 | + | 20.1630i | −0.418161 | + | 0.724276i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −33.5912 | − | 50.3779i | −1.20508 | − | 1.80730i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 7.79826 | + | 2.83833i | 0.279402 | + | 0.101694i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.00515 | + | 5.70049i | −0.0359671 | + | 0.203979i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −29.9856 | + | 18.0772i | −1.07160 | + | 0.646025i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.43329 | − | 53.4988i | 0.336689 | − | 1.90946i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.84670 | − | 2.85597i | −0.279705 | − | 0.101804i | 0.198359 | − | 0.980129i | \(-0.436439\pi\) |
−0.478063 | + | 0.878325i | \(0.658661\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 22.0307 | − | 1.42262i | 0.784313 | − | 0.0506466i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 29.4038 | − | 50.9289i | 1.04548 | − | 1.81082i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.4824 | + | 21.6202i | 0.443265 | + | 0.767757i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −41.2878 | + | 18.1195i | −1.46433 | + | 0.642633i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1.59616 | + | 9.05229i | 0.0565390 | + | 0.320648i | 0.999939 | − | 0.0110074i | \(-0.00350383\pi\) |
−0.943400 | + | 0.331656i | \(0.892393\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.7781 | − | 12.4003i | −0.522810 | − | 0.438690i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 33.8380 | − | 17.5320i | 1.19561 | − | 0.619464i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −23.0103 | + | 8.37505i | −0.812014 | + | 0.295549i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −27.6319 | + | 23.1859i | −0.973897 | + | 0.817196i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −16.1964 | − | 4.73779i | −0.570141 | − | 0.166778i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −32.2162 | −1.13266 | −0.566330 | − | 0.824179i | \(-0.691637\pi\) | ||||
−0.566330 | + | 0.824179i | \(0.691637\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 12.1871 | 0.427948 | 0.213974 | − | 0.976839i | \(-0.431359\pi\) | ||||
0.213974 | + | 0.976839i | \(0.431359\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −3.02591 | − | 0.885142i | −0.106123 | − | 0.0310433i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.50187 | − | 1.26022i | 0.0526081 | − | 0.0441435i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 12.1723 | − | 4.43034i | 0.425853 | − | 0.154998i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.27500 | + | 49.8963i | −0.0794950 | + | 1.74352i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 9.44166 | + | 7.92250i | 0.329516 | + | 0.276497i | 0.792503 | − | 0.609868i | \(-0.208778\pi\) |
−0.462986 | + | 0.886365i | \(0.653222\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.21456 | + | 23.9020i | 0.146910 | + | 0.833170i | 0.965813 | + | 0.259238i | \(0.0834714\pi\) |
−0.818903 | + | 0.573932i | \(0.805417\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −13.9312 | + | 6.11385i | −0.485023 | + | 0.212857i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −19.9384 | − | 34.5343i | −0.693326 | − | 1.20088i | −0.970742 | − | 0.240126i | \(-0.922811\pi\) |
0.277416 | − | 0.960750i | \(-0.410522\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.07089 | + | 10.5151i | −0.210851 | + | 0.365204i | −0.951981 | − | 0.306157i | \(-0.900957\pi\) |
0.741130 | + | 0.671361i | \(0.234290\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6.92521 | − | 0.447192i | 0.240233 | − | 0.0155129i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 31.8574 | + | 11.5952i | 1.10379 | + | 0.401748i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.70186 | − | 15.3230i | 0.0935017 | − | 0.530274i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 16.4450 | + | 42.6532i | 0.568421 | + | 1.47431i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −7.24221 | + | 41.0726i | −0.250029 | + | 1.41798i | 0.558489 | + | 0.829512i | \(0.311381\pi\) |
−0.808518 | + | 0.588472i | \(0.799730\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −15.4151 | − | 5.61064i | −0.531556 | − | 0.193470i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 18.3031 | + | 27.4498i | 0.630393 | + | 0.945423i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −0.0181918 | + | 0.0315091i | −0.000625817 | + | 0.00108395i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.0372969 | + | 0.0646002i | 0.00128154 | + | 0.00221969i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 5.19477 | − | 47.0139i | 0.178284 | − | 1.61351i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 3.70986 | + | 21.0397i | 0.127172 | + | 0.721231i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.95429 | − | 6.67444i | −0.272350 | − | 0.228529i | 0.496375 | − | 0.868108i | \(-0.334664\pi\) |
−0.768725 | + | 0.639580i | \(0.779108\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.12896 | + | 17.1173i | −0.243805 | + | 0.585400i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 41.5193 | − | 15.1118i | 1.41827 | − | 0.516209i | 0.484727 | − | 0.874666i | \(-0.338919\pi\) |
0.933546 | + | 0.358457i | \(0.116697\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −16.1496 | + | 13.5512i | −0.551018 | + | 0.462359i | −0.875286 | − | 0.483606i | \(-0.839327\pi\) |
0.324267 | + | 0.945965i | \(0.394882\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −7.03377 | − | 28.8653i | −0.239710 | − | 0.983725i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −12.0754 | −0.411052 | −0.205526 | − | 0.978652i | \(-0.565890\pi\) | ||||
−0.205526 | + | 0.978652i | \(0.565890\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 57.6473 | 1.96007 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −14.2948 | + | 13.6578i | −0.485476 | + | 0.463845i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 2.16674 | − | 1.81811i | 0.0735015 | − | 0.0616751i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 39.1404 | − | 14.2459i | 1.32622 | − | 0.482706i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.71788 | + | 5.48530i | 0.0581413 | + | 0.185649i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −23.0333 | − | 19.3273i | −0.778668 | − | 0.653380i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.39839 | − | 7.93068i | −0.0472204 | − | 0.267800i | 0.952052 | − | 0.305936i | \(-0.0989692\pi\) |
−0.999273 | + | 0.0381356i | \(0.987858\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −43.9325 | − | 32.2779i | −1.48181 | − | 1.08871i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 22.0711 | + | 38.2283i | 0.743594 | + | 1.28794i | 0.950849 | + | 0.309656i | \(0.100214\pi\) |
−0.207254 | + | 0.978287i | \(0.566453\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −20.1309 | + | 34.8678i | −0.677460 | + | 1.17340i | 0.298283 | + | 0.954477i | \(0.403586\pi\) |
−0.975743 | + | 0.218918i | \(0.929747\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 14.9849 | − | 30.3125i | 0.503710 | − | 1.01894i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 46.9731 | + | 17.0968i | 1.57720 | + | 0.574054i | 0.974593 | − | 0.223983i | \(-0.0719060\pi\) |
0.602608 | + | 0.798037i | \(0.294128\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.85766 | − | 38.8917i | 0.229998 | − | 1.30439i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −7.84262 | + | 28.8236i | −0.262738 | + | 0.965628i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3.16828 | + | 17.9682i | −0.106022 | + | 0.601283i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 33.9466 | + | 12.3555i | 1.13471 | + | 0.413000i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 7.80994 | − | 15.7985i | 0.260766 | − | 0.527498i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −29.6403 | + | 51.3385i | −0.988560 | + | 1.71224i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −11.1244 | − | 19.2680i | −0.370608 | − | 0.641911i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −37.3716 | − | 27.4575i | −1.24365 | − | 0.913727i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 2.93154 | + | 16.6256i | 0.0974478 | + | 0.552654i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −26.4897 | − | 22.2275i | −0.879578 | − | 0.738053i | 0.0865146 | − | 0.996251i | \(-0.472427\pi\) |
−0.966092 | + | 0.258197i | \(0.916872\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −9.43261 | − | 2.11026i | −0.312860 | − | 0.0699931i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −39.4580 | + | 14.3615i | −1.30730 | + | 0.475819i | −0.899368 | − | 0.437193i | \(-0.855973\pi\) |
−0.407933 | + | 0.913012i | \(0.633750\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 28.2611 | − | 23.7138i | 0.935304 | − | 0.784813i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 23.9897 | − | 22.9208i | 0.793075 | − | 0.757739i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −15.9989 | −0.528330 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 29.8567 | 0.984880 | 0.492440 | − | 0.870346i | \(-0.336105\pi\) | ||||
0.492440 | + | 0.870346i | \(0.336105\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −5.91189 | − | 24.2613i | −0.194803 | − | 0.799436i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −4.81450 | + | 4.03985i | −0.158471 | + | 0.132973i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 18.8171 | − | 6.84888i | 0.618704 | − | 0.225190i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −49.3313 | + | 6.39776i | −1.62025 | + | 0.210130i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −37.0125 | − | 31.0572i | −1.21434 | − | 1.01895i | −0.999101 | − | 0.0423913i | \(-0.986502\pi\) |
−0.215239 | − | 0.976561i | \(-0.569053\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.56781 | − | 31.5766i | −0.182478 | − | 1.03488i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.545679 | + | 4.93852i | −0.0178647 | + | 0.161680i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −10.8453 | − | 18.7847i | −0.354680 | − | 0.614324i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 25.7774 | − | 44.6478i | 0.842112 | − | 1.45858i | −0.0459940 | − | 0.998942i | \(-0.514646\pi\) |
0.888106 | − | 0.459639i | \(-0.152021\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 30.0821 | + | 45.1152i | 0.981692 | + | 1.47228i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −16.4411 | − | 5.98409i | −0.535966 | − | 0.195076i | 0.0598343 | − | 0.998208i | \(-0.480943\pi\) |
−0.595800 | + | 0.803133i | \(0.703165\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.82031 | + | 10.3235i | −0.0592773 | + | 0.336179i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 65.1449 | − | 12.7622i | 2.11916 | − | 0.415154i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 2.87549 | − | 16.3077i | 0.0934410 | − | 0.529930i | −0.901773 | − | 0.432210i | \(-0.857734\pi\) |
0.995214 | − | 0.0977201i | \(-0.0311550\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −24.9838 | − | 9.09336i | −0.811008 | − | 0.295183i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −39.5011 | + | 2.55076i | −1.28091 | + | 0.0827142i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −26.5362 | + | 45.9621i | −0.859593 | + | 1.48886i | 0.0127252 | + | 0.999919i | \(0.495949\pi\) |
−0.872318 | + | 0.488939i | \(0.837384\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.4901 | + | 28.5617i | 0.533606 | + | 0.924233i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −35.4713 | + | 15.5669i | −1.14663 | + | 0.503207i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.51333 | − | 8.58255i | −0.0488681 | − | 0.277145i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 35.5426 | + | 29.8238i | 1.14653 | + | 0.962057i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −8.45178 | − | 5.40733i | −0.272355 | − | 0.174249i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −6.08907 | + | 2.21624i | −0.196014 | + | 0.0713433i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.2540 | − | 14.4778i | 0.554851 | − | 0.465575i | −0.321729 | − | 0.946832i | \(-0.604264\pi\) |
0.876580 | + | 0.481257i | \(0.159820\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.78170 | − | 2.56883i | −0.282109 | − | 0.0825226i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −24.3804 | −0.782404 | −0.391202 | − | 0.920305i | \(-0.627941\pi\) | ||||
−0.391202 | + | 0.920305i | \(0.627941\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.2603 | 0.489222 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −15.8542 | − | 4.63769i | −0.507741 | − | 0.148525i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −19.3521 | + | 16.2383i | −0.619127 | + | 0.519509i | −0.897529 | − | 0.440955i | \(-0.854640\pi\) |
0.278402 | + | 0.960465i | \(0.410195\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 39.6205 | − | 14.4207i | 1.26628 | − | 0.460887i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −28.7855 | − | 18.4166i | −0.919049 | − | 0.587995i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −44.1912 | − | 37.0808i | −1.40948 | − | 1.18269i | −0.956702 | − | 0.291070i | \(-0.905989\pi\) |
−0.452777 | − | 0.891624i | \(-0.649567\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.92607 | − | 10.9233i | −0.0613697 | − | 0.348045i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 59.8130 | − | 26.2495i | 1.90387 | − | 0.835530i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.18122 | + | 14.1703i | 0.260148 | + | 0.450589i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.2165 | + | 40.2122i | −0.737496 | + | 1.27738i | 0.216123 | + | 0.976366i | \(0.430659\pi\) |
−0.953619 | + | 0.301015i | \(0.902675\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −1.68327 | + | 0.108696i | −0.0534169 | + | 0.00344937i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 36.9792 | + | 13.4593i | 1.17232 | + | 0.426690i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.70785 | − | 15.3570i | 0.0857586 | − | 0.486361i | −0.911432 | − | 0.411451i | \(-0.865022\pi\) |
0.997190 | − | 0.0749097i | \(-0.0238669\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 12.7460 | − | 37.1944i | 0.403265 | − | 1.17678i |
(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 | 216.2.q.a.25.1 | ✓ | 24 | |
3.2 | odd | 2 | 648.2.q.a.73.4 | 24 | |||
4.3 | odd | 2 | 432.2.u.e.241.4 | 24 | |||
27.11 | odd | 18 | 5832.2.a.i.1.11 | 12 | |||
27.13 | even | 9 | inner | 216.2.q.a.121.1 | yes | 24 | |
27.14 | odd | 18 | 648.2.q.a.577.4 | 24 | |||
27.16 | even | 9 | 5832.2.a.h.1.2 | 12 | |||
108.67 | odd | 18 | 432.2.u.e.337.4 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.q.a.25.1 | ✓ | 24 | 1.1 | even | 1 | trivial | |
216.2.q.a.121.1 | yes | 24 | 27.13 | even | 9 | inner | |
432.2.u.e.241.4 | 24 | 4.3 | odd | 2 | |||
432.2.u.e.337.4 | 24 | 108.67 | odd | 18 | |||
648.2.q.a.73.4 | 24 | 3.2 | odd | 2 | |||
648.2.q.a.577.4 | 24 | 27.14 | odd | 18 | |||
5832.2.a.h.1.2 | 12 | 27.16 | even | 9 | |||
5832.2.a.i.1.11 | 12 | 27.11 | odd | 18 |