Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(79,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.ci (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 79.3 | ||
Character | \(\chi\) | \(=\) | 912.79 |
Dual form | 912.2.ci.g.127.3 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.939693 | + | 0.342020i | −0.542532 | + | 0.197465i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.494739 | − | 2.80581i | 0.221254 | − | 1.25479i | −0.648464 | − | 0.761245i | \(-0.724588\pi\) |
0.869718 | − | 0.493549i | \(-0.164301\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.05139 | − | 2.33907i | 1.53128 | − | 0.884085i | 0.531978 | − | 0.846758i | \(-0.321449\pi\) |
0.999303 | − | 0.0373268i | \(-0.0118843\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.766044 | − | 0.642788i | 0.255348 | − | 0.214263i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.23869 | + | 2.44721i | 1.27801 | + | 0.737861i | 0.976483 | − | 0.215595i | \(-0.0691691\pi\) |
0.301531 | + | 0.953456i | \(0.402502\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.974319 | + | 2.67692i | −0.270227 | + | 0.742444i | 0.728145 | + | 0.685423i | \(0.240383\pi\) |
−0.998373 | + | 0.0570213i | \(0.981840\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.494739 | + | 2.80581i | 0.127741 | + | 0.724456i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −3.09819 | − | 2.59969i | −0.751421 | − | 0.630517i | 0.184457 | − | 0.982840i | \(-0.440947\pi\) |
−0.935878 | + | 0.352324i | \(0.885392\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.35652 | − | 2.78097i | −0.770038 | − | 0.637998i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.00705 | + | 3.58366i | −0.656192 | + | 0.782019i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.98701 | − | 1.05567i | 1.24838 | − | 0.220123i | 0.489875 | − | 0.871792i | \(-0.337042\pi\) |
0.758503 | + | 0.651670i | \(0.225931\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.92931 | − | 1.06618i | −0.585863 | − | 0.213237i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.500000 | + | 0.866025i | −0.0962250 | + | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.64299 | − | 4.34155i | −0.676487 | − | 0.806205i | 0.313165 | − | 0.949699i | \(-0.398611\pi\) |
−0.989651 | + | 0.143494i | \(0.954166\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.14264 | + | 5.44322i | 0.564435 | + | 0.977630i | 0.997102 | + | 0.0760765i | \(0.0242393\pi\) |
−0.432667 | + | 0.901554i | \(0.642427\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −4.82006 | − | 0.849907i | −0.839065 | − | 0.147950i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −4.55859 | − | 12.5246i | −0.770543 | − | 2.11705i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.42841i | 1.05682i | 0.848988 | + | 0.528412i | \(0.177212\pi\) | ||||
−0.848988 | + | 0.528412i | \(0.822788\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | − | 2.84872i | − | 0.456160i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.01774 | − | 5.54370i | −0.315118 | − | 0.865780i | −0.991602 | − | 0.129323i | \(-0.958720\pi\) |
0.676484 | − | 0.736457i | \(-0.263503\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.67932 | + | 0.296109i | 0.256094 | + | 0.0451562i | 0.300221 | − | 0.953870i | \(-0.402940\pi\) |
−0.0441273 | + | 0.999026i | \(0.514051\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.42454 | − | 2.46738i | −0.212359 | − | 0.367816i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.46079 | − | 6.50792i | −0.796538 | − | 0.949277i | 0.203015 | − | 0.979176i | \(-0.434926\pi\) |
−0.999553 | + | 0.0298983i | \(0.990482\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 7.44249 | − | 12.8908i | 1.06321 | − | 1.84154i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 3.80049 | + | 1.38326i | 0.532175 | + | 0.193696i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.07029 | − | 1.24668i | 0.971179 | − | 0.171245i | 0.334519 | − | 0.942389i | \(-0.391426\pi\) |
0.636661 | + | 0.771144i | \(0.280315\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.96344 | − | 10.6822i | 1.20863 | − | 1.44039i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.10524 | + | 1.46526i | 0.543753 | + | 0.194078i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 3.61390 | + | 3.03242i | 0.470490 | + | 0.394788i | 0.846973 | − | 0.531635i | \(-0.178422\pi\) |
−0.376483 | + | 0.926423i | \(0.622867\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.715468 | + | 4.05762i | 0.0916062 | + | 0.519525i | 0.995735 | + | 0.0922638i | \(0.0294103\pi\) |
−0.904128 | + | 0.427261i | \(0.859479\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.60002 | − | 4.39601i | 0.201583 | − | 0.553846i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 7.02888 | + | 4.05813i | 0.871825 | + | 0.503349i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.79466 | + | 2.34500i | −0.341422 | + | 0.286487i | −0.797335 | − | 0.603537i | \(-0.793757\pi\) |
0.455912 | + | 0.890025i | \(0.349313\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.26489 | + | 3.03969i | −0.633818 | + | 0.365935i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.152483 | − | 0.864773i | 0.0180964 | − | 0.102630i | −0.974422 | − | 0.224727i | \(-0.927851\pi\) |
0.992518 | + | 0.122097i | \(0.0389620\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −9.38724 | + | 3.41668i | −1.09869 | + | 0.399892i | −0.826835 | − | 0.562445i | \(-0.809861\pi\) |
−0.271859 | + | 0.962337i | \(0.587639\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.11731 | 0.359956 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 22.8968 | 2.60933 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.2405 | − | 4.45516i | 1.37716 | − | 0.501245i | 0.455843 | − | 0.890060i | \(-0.349338\pi\) |
0.921316 | + | 0.388815i | \(0.127116\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.173648 | − | 0.984808i | 0.0192942 | − | 0.109423i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −4.28410 | + | 2.47343i | −0.470241 | + | 0.271494i | −0.716341 | − | 0.697751i | \(-0.754184\pi\) |
0.246100 | + | 0.969245i | \(0.420851\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.82701 | + | 7.40674i | −0.957424 | + | 0.803374i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.90819 | + | 2.83374i | 0.526213 | + | 0.303809i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.03768 | − | 8.34595i | 0.321993 | − | 0.884669i | −0.668077 | − | 0.744092i | \(-0.732882\pi\) |
0.990070 | − | 0.140576i | \(-0.0448955\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.31416 | + | 13.1242i | 0.242590 | + | 1.37579i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −4.81481 | − | 4.04010i | −0.499272 | − | 0.418939i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −9.46345 | + | 8.04189i | −0.970930 | + | 0.825080i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 11.7729 | − | 14.0304i | 1.19536 | − | 1.42457i | 0.315765 | − | 0.948837i | \(-0.397739\pi\) |
0.879590 | − | 0.475732i | \(-0.157817\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.82006 | − | 0.849907i | 0.484434 | − | 0.0854189i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −13.5739 | − | 4.94049i | −1.35065 | − | 0.491597i | −0.437501 | − | 0.899218i | \(-0.644136\pi\) |
−0.913152 | + | 0.407620i | \(0.866359\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.37934 | + | 14.5134i | −0.825641 | + | 1.43005i | 0.0757869 | + | 0.997124i | \(0.475853\pi\) |
−0.901428 | + | 0.432929i | \(0.857480\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 8.56735 | + | 10.2102i | 0.836088 | + | 0.996411i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.01141 | − | 1.75181i | −0.0977765 | − | 0.169354i | 0.812988 | − | 0.582281i | \(-0.197840\pi\) |
−0.910764 | + | 0.412927i | \(0.864506\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −15.7451 | − | 2.77628i | −1.50810 | − | 0.265920i | −0.642359 | − | 0.766404i | \(-0.722044\pi\) |
−0.865746 | + | 0.500484i | \(0.833155\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.19865 | − | 6.04073i | −0.208686 | − | 0.573361i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 1.95281i | − | 0.183705i | −0.995773 | − | 0.0918524i | \(-0.970721\pi\) | ||
0.995773 | − | 0.0918524i | \(-0.0292788\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 17.3207i | − | 1.61516i | ||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.974319 | + | 2.67692i | 0.0900758 | + | 0.247481i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −18.6328 | − | 3.28547i | −1.70807 | − | 0.301178i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.47767 | + | 11.2197i | 0.588879 | + | 1.01997i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.79211 | + | 4.51926i | 0.341923 | + | 0.407488i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.68198 | − | 4.64532i | 0.239883 | − | 0.415490i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.60542 | + | 3.13212i | 0.763608 | + | 0.277931i | 0.694320 | − | 0.719666i | \(-0.255705\pi\) |
0.0692876 | + | 0.997597i | \(0.477927\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −1.67932 | + | 0.296109i | −0.147856 | + | 0.0260709i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.02944 | − | 5.99385i | 0.439424 | − | 0.523685i | −0.500193 | − | 0.865914i | \(-0.666737\pi\) |
0.939617 | + | 0.342229i | \(0.111182\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −20.1034 | − | 3.41565i | −1.74319 | − | 0.296174i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.18253 | + | 1.83136i | 0.187842 | + | 0.157618i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.05934 | + | 11.6791i | 0.175942 | + | 0.997814i | 0.937051 | + | 0.349191i | \(0.113544\pi\) |
−0.761110 | + | 0.648623i | \(0.775345\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.25598 | + | 17.1882i | −0.530625 | + | 1.45788i | 0.327704 | + | 0.944780i | \(0.393725\pi\) |
−0.858329 | + | 0.513100i | \(0.828497\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.35730 | + | 4.24774i | 0.619597 | + | 0.357724i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −10.6808 | + | 8.96227i | −0.893175 | + | 0.749463i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.9839 | + | 8.07359i | −1.16130 | + | 0.670475i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.58475 | + | 14.6589i | −0.213187 | + | 1.20904i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.52213 | + | 1.64592i | −0.370467 | + | 0.134839i | −0.520543 | − | 0.853835i | \(-0.674270\pi\) |
0.150076 | + | 0.988675i | \(0.452048\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −17.5620 | −1.42918 | −0.714589 | − | 0.699544i | \(-0.753386\pi\) | ||||
−0.714589 | + | 0.699544i | \(0.753386\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.04440 | −0.326970 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 16.8274 | − | 6.12467i | 1.35161 | − | 0.491945i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.759551 | − | 4.30763i | 0.0606187 | − | 0.343786i | −0.939381 | − | 0.342876i | \(-0.888599\pi\) |
1.00000 | 0.000910441i | \(-0.000289802\pi\) | ||||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.21751 | + | 3.58968i | −0.493081 | + | 0.284680i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 21.7864 | − | 18.2810i | 1.71701 | − | 1.44074i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.0170674 | + | 0.00985388i | 0.00133682 | + | 0.000771815i | 0.500668 | − | 0.865639i | \(-0.333088\pi\) |
−0.499331 | + | 0.866411i | \(0.666421\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −4.76935 | + | 13.1037i | −0.371293 | + | 1.02012i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 0.384664 | + | 2.18154i | 0.0297662 | + | 0.168813i | 0.996067 | − | 0.0886029i | \(-0.0282402\pi\) |
−0.966301 | + | 0.257415i | \(0.917129\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.74198 | + | 3.13989i | 0.287844 | + | 0.241530i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.35881 | + | 0.0271842i | −0.333327 | + | 0.00207883i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −12.3088 | + | 14.6690i | −0.935817 | + | 1.11526i | 0.0573258 | + | 0.998356i | \(0.481743\pi\) |
−0.993143 | + | 0.116908i | \(0.962702\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −14.3617 | + | 2.53235i | −1.08564 | + | 0.191428i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.43311 | − | 1.61352i | −0.333213 | − | 0.121280i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.83031 | − | 3.17018i | 0.136803 | − | 0.236951i | −0.789481 | − | 0.613774i | \(-0.789650\pi\) |
0.926285 | + | 0.376824i | \(0.122984\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.11271 | + | 3.70959i | 0.231366 | + | 0.275731i | 0.869219 | − | 0.494426i | \(-0.164622\pi\) |
−0.637853 | + | 0.770158i | \(0.720177\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.06011 | − | 3.56821i | −0.152287 | − | 0.263770i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 18.0369 | + | 3.18039i | 1.32610 | + | 0.233827i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.77028 | − | 18.6012i | −0.495092 | − | 1.36025i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.67814i | 0.340285i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 2.75597i | − | 0.199415i | −0.995017 | − | 0.0997076i | \(-0.968209\pi\) | ||
0.995017 | − | 0.0997076i | \(-0.0317907\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.64451 | + | 12.7607i | 0.334319 | + | 0.918535i | 0.986974 | + | 0.160879i | \(0.0514330\pi\) |
−0.652655 | + | 0.757655i | \(0.726345\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −7.99295 | − | 1.40937i | −0.572387 | − | 0.100927i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 7.64743 | + | 13.2457i | 0.544857 | + | 0.943720i | 0.998616 | + | 0.0525953i | \(0.0167493\pi\) |
−0.453759 | + | 0.891124i | \(0.649917\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.80642 | + | 8.11158i | 0.482495 | + | 0.575015i | 0.951292 | − | 0.308291i | \(-0.0997570\pi\) |
−0.468797 | + | 0.883306i | \(0.655313\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.82409 | − | 3.15941i | 0.128661 | − | 0.222848i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −24.9144 | − | 9.06808i | −1.74865 | − | 0.636455i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −16.5528 | + | 2.91870i | −1.15610 | + | 0.203851i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.90774 | − | 4.65707i | 0.271607 | − | 0.323689i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −7.42164 | − | 20.0018i | −0.513365 | − | 1.38355i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.41871 | − | 4.54684i | −0.373039 | − | 0.313017i | 0.436923 | − | 0.899499i | \(-0.356068\pi\) |
−0.809963 | + | 0.586482i | \(0.800513\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.152483 | + | 0.864773i | 0.0104480 | + | 0.0592533i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 1.66165 | − | 4.56534i | 0.113323 | − | 0.311354i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 25.4641 | + | 14.7017i | 1.72862 | + | 0.998018i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.65255 | − | 6.42125i | 0.517112 | − | 0.433908i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 9.97778 | − | 5.76067i | 0.671178 | − | 0.387505i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.73178 | + | 15.4927i | −0.182933 | + | 1.03747i | 0.745649 | + | 0.666339i | \(0.232140\pi\) |
−0.928582 | + | 0.371127i | \(0.878971\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.92931 | + | 1.06618i | −0.195288 | + | 0.0710789i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −18.0026 | −1.19488 | −0.597438 | − | 0.801915i | \(-0.703815\pi\) | ||||
−0.597438 | + | 0.801915i | \(0.703815\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 22.4816 | 1.48563 | 0.742813 | − | 0.669499i | \(-0.233491\pi\) | ||||
0.742813 | + | 0.669499i | \(0.233491\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −21.5159 | + | 7.83116i | −1.41564 | + | 0.515252i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.95991 | − | 11.1152i | 0.128398 | − | 0.728182i | −0.850833 | − | 0.525436i | \(-0.823902\pi\) |
0.979231 | − | 0.202746i | \(-0.0649867\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −20.9616 | + | 12.1022i | −1.36739 | + | 0.789460i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −9.97851 | + | 8.37297i | −0.648174 | + | 0.543883i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 17.3609 | + | 10.0233i | 1.12299 | + | 0.648356i | 0.942161 | − | 0.335159i | \(-0.108790\pi\) |
0.180824 | + | 0.983515i | \(0.442123\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.97897 | + | 13.6796i | −0.320724 | + | 0.881181i | 0.669639 | + | 0.742686i | \(0.266449\pi\) |
−0.990363 | + | 0.138495i | \(0.955774\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.173648 | + | 0.984808i | 0.0111395 | + | 0.0631754i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −32.4869 | − | 27.2598i | −2.07551 | − | 1.74156i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.7147 | − | 6.27558i | 0.681763 | − | 0.399306i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.17978 | − | 3.78951i | 0.201510 | − | 0.240150i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 22.6495 | − | 3.99371i | 1.42962 | − | 0.252081i | 0.595364 | − | 0.803456i | \(-0.297008\pi\) |
0.834257 | + | 0.551376i | \(0.185897\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 27.9605 | + | 10.1768i | 1.75786 | + | 0.639810i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 5.76142 | − | 9.97908i | 0.360794 | − | 0.624914i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.05824 | + | 8.41168i | 0.440281 | + | 0.524706i | 0.939859 | − | 0.341562i | \(-0.110956\pi\) |
−0.499578 | + | 0.866269i | \(0.666512\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.0365 | + | 26.0440i | 0.934323 | + | 1.61829i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −5.58139 | − | 0.984149i | −0.345479 | − | 0.0609173i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 9.14617 | + | 25.1289i | 0.563977 | + | 1.54951i | 0.813754 | + | 0.581210i | \(0.197421\pi\) |
−0.249777 | + | 0.968303i | \(0.580357\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 20.4546i | − | 1.25652i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.88157i | 0.543543i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.03204 | + | 24.8153i | 0.550693 | + | 1.51302i | 0.832767 | + | 0.553624i | \(0.186756\pi\) |
−0.282073 | + | 0.959393i | \(0.591022\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.60301 | + | 0.282654i | 0.0973758 | + | 0.0171700i | 0.222124 | − | 0.975018i | \(-0.428701\pi\) |
−0.124748 | + | 0.992188i | \(0.539812\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −6.66335 | − | 11.5413i | −0.403284 | − | 0.698509i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −9.80728 | − | 11.6879i | −0.591401 | − | 0.704805i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.46776 | + | 6.00633i | −0.208357 | + | 0.360885i | −0.951197 | − | 0.308584i | \(-0.900145\pi\) |
0.742840 | + | 0.669469i | \(0.233478\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5.90623 | + | 2.14969i | 0.353597 | + | 0.128699i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.6961 | − | 2.59132i | 0.876697 | − | 0.154585i | 0.282851 | − | 0.959164i | \(-0.408720\pi\) |
0.593846 | + | 0.804579i | \(0.297609\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −16.2764 | + | 19.3974i | −0.967530 | + | 1.15306i | 0.0206543 | + | 0.999787i | \(0.493425\pi\) |
−0.988184 | + | 0.153271i | \(0.951019\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 6.14225 | − | 10.7936i | 0.363836 | − | 0.639357i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −21.1418 | − | 17.7400i | −1.24796 | − | 1.04716i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.111631 | − | 0.633093i | −0.00656656 | − | 0.0372408i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.26422 | + | 17.2108i | −0.367215 | + | 1.00892i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −24.7125 | − | 14.2678i | −1.44372 | − | 0.833532i | −0.445625 | − | 0.895220i | \(-0.647019\pi\) |
−0.998096 | + | 0.0616873i | \(0.980352\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.2963 | − | 8.63965i | 0.599475 | − | 0.503020i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −4.23869 | + | 2.44721i | −0.245954 | + | 0.142001i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −3.00731 | + | 17.0553i | −0.173917 | + | 0.986334i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.49619 | − | 2.72839i | 0.432073 | − | 0.157262i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 14.4450 | 0.829846 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 11.7389 | 0.672165 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 23.7396 | − | 8.64051i | 1.35489 | − | 0.493140i | 0.440420 | − | 0.897792i | \(-0.354829\pi\) |
0.914471 | + | 0.404652i | \(0.132607\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2.91012 | − | 16.5041i | 0.165551 | − | 0.938885i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −7.51622 | + | 4.33949i | −0.426206 | + | 0.246070i | −0.697729 | − | 0.716362i | \(-0.745806\pi\) |
0.271523 | + | 0.962432i | \(0.412473\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.821120 | − | 0.689001i | 0.0464124 | − | 0.0389447i | −0.619286 | − | 0.785165i | \(-0.712578\pi\) |
0.665699 | + | 0.746221i | \(0.268134\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −11.5428 | − | 6.66422i | −0.650361 | − | 0.375486i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −0.652532 | + | 1.79282i | −0.0366498 | + | 0.100695i | −0.956668 | − | 0.291182i | \(-0.905952\pi\) |
0.920018 | + | 0.391876i | \(0.128174\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.81684 | − | 27.3176i | −0.269691 | − | 1.52949i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.54957 | + | 1.30024i | 0.0864884 | + | 0.0725723i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.16948 | + | 17.3419i | 0.176354 | + | 0.964927i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.70817 | − | 6.80273i | 0.316632 | − | 0.377348i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 15.7451 | − | 2.77628i | 0.870705 | − | 0.153529i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −37.3463 | − | 13.5929i | −2.05897 | − | 0.749402i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 6.27220 | − | 10.8638i | 0.344752 | − | 0.597127i | −0.640557 | − | 0.767911i | \(-0.721296\pi\) |
0.985309 | + | 0.170783i | \(0.0546298\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.13210 | + | 4.92445i | 0.226438 | + | 0.269858i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 5.19699 | + | 9.00144i | 0.283942 | + | 0.491801i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −34.5453 | − | 6.09127i | −1.88180 | − | 0.331812i | −0.889629 | − | 0.456684i | \(-0.849037\pi\) |
−0.992173 | + | 0.124872i | \(0.960148\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.667900 | + | 1.83504i | 0.0362753 | + | 0.0996657i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 30.7628i | 1.66590i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 36.8871i | − | 1.99172i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 5.92402 | + | 16.2761i | 0.318938 | + | 0.876276i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.67240 | + | 0.647543i | 0.197145 | + | 0.0347619i | 0.271349 | − | 0.962481i | \(-0.412530\pi\) |
−0.0742038 | + | 0.997243i | \(0.523642\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.36899 | + | 9.29936i | 0.287395 | + | 0.497783i | 0.973187 | − | 0.230015i | \(-0.0738774\pi\) |
−0.685792 | + | 0.727798i | \(0.740544\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.83112 | − | 2.18224i | −0.0977380 | − | 0.116480i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −17.0977 | + | 29.6141i | −0.910019 | + | 1.57620i | −0.0959834 | + | 0.995383i | \(0.530600\pi\) |
−0.814035 | + | 0.580816i | \(0.802734\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.35095 | − | 0.855674i | −0.124775 | − | 0.0454145i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 18.6328 | − | 3.28547i | 0.986153 | − | 0.173885i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −14.9878 | + | 17.8617i | −0.791024 | + | 0.942706i | −0.999375 | − | 0.0353485i | \(-0.988746\pi\) |
0.208351 | + | 0.978054i | \(0.433190\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.53244 | + | 18.6687i | 0.185918 | + | 0.982565i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −9.92436 | − | 8.32753i | −0.520894 | − | 0.437082i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.94229 | + | 28.0291i | 0.258692 | + | 1.46711i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.37867 | − | 25.7677i | 0.489563 | − | 1.34506i | −0.411514 | − | 0.911403i | \(-0.635000\pi\) |
0.901077 | − | 0.433659i | \(-0.142778\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −5.10910 | − | 2.94974i | −0.265969 | − | 0.153557i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 25.7284 | − | 21.5887i | 1.33575 | − | 1.12083i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.6498 | − | 7.88074i | 0.706762 | − | 0.408049i | −0.103099 | − | 0.994671i | \(-0.532876\pi\) |
0.809861 | + | 0.586622i | \(0.199542\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −0.931440 | + | 5.28246i | −0.0480994 | + | 0.272785i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 15.1714 | − | 5.52194i | 0.781367 | − | 0.284395i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 31.1656 | 1.60087 | 0.800435 | − | 0.599420i | \(-0.204602\pi\) | ||||
0.800435 | + | 0.599420i | \(0.204602\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −9.15770 | −0.469163 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −13.4728 | + | 4.90369i | −0.688427 | + | 0.250567i | −0.662462 | − | 0.749096i | \(-0.730488\pi\) |
−0.0259656 | + | 0.999663i | \(0.508266\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.3279 | − | 64.2439i | 0.577325 | − | 3.27417i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 1.47677 | − | 0.852612i | 0.0750683 | − | 0.0433407i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 9.24593 | − | 7.75825i | 0.468787 | − | 0.393359i | −0.377565 | − | 0.925983i | \(-0.623238\pi\) |
0.846352 | + | 0.532624i | \(0.178794\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.2933 | − | 12.2937i | −1.07685 | − | 0.621719i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.67611 | + | 7.35255i | −0.134992 | + | 0.370887i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.44448 | − | 36.5485i | −0.324257 | − | 1.83895i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.1135 | − | 11.0035i | −0.658147 | − | 0.552251i | 0.251383 | − | 0.967888i | \(-0.419114\pi\) |
−0.909531 | + | 0.415636i | \(0.863559\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 20.0593 | − | 3.66612i | 1.00422 | − | 0.183536i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 18.4342 | − | 21.9690i | 0.920558 | − | 1.09708i | −0.0744443 | − | 0.997225i | \(-0.523718\pi\) |
0.995002 | − | 0.0998531i | \(-0.0318373\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −17.6330 | + | 3.10917i | −0.878362 | + | 0.154879i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.67727 | − | 0.974446i | −0.133035 | − | 0.0484206i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −15.7317 | + | 27.2480i | −0.779790 | + | 1.35064i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.217459 | − | 0.259157i | −0.0107527 | − | 0.0128145i | 0.760641 | − | 0.649172i | \(-0.224885\pi\) |
−0.771394 | + | 0.636358i | \(0.780440\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.92964 | − | 10.2704i | −0.292488 | − | 0.506604i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 21.7344 | + | 3.83236i | 1.06948 | + | 0.188578i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.82044 | + | 13.2441i | 0.236626 | + | 0.650125i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 18.2913i | − | 0.895726i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 12.8576i | − | 0.628135i | −0.949401 | − | 0.314068i | \(-0.898308\pi\) | ||
0.949401 | − | 0.314068i | \(-0.101692\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.12274 | − | 3.08470i | −0.0547190 | − | 0.150339i | 0.909322 | − | 0.416094i | \(-0.136601\pi\) |
−0.964041 | + | 0.265754i | \(0.914379\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −8.36642 | − | 1.47523i | −0.406789 | − | 0.0717279i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 6.30382 | + | 10.9185i | 0.305780 | + | 0.529627i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.3897 | + | 14.7655i | 0.599579 | + | 0.714550i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.97141 | − | 12.0748i | 0.336583 | − | 0.582979i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −9.71523 | − | 3.53605i | −0.467966 | − | 0.170326i | 0.0972647 | − | 0.995259i | \(-0.468991\pi\) |
−0.565231 | + | 0.824933i | \(0.691213\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −7.68637 | + | 1.35531i | −0.369383 | + | 0.0651323i | −0.355259 | − | 0.934768i | \(-0.615607\pi\) |
−0.0141246 | + | 0.999900i | \(0.504496\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.3792 | − | 12.3695i | 0.497645 | − | 0.593070i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −23.0313 | − | 13.1063i | −1.10174 | − | 0.626960i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.02764 | + | 2.54049i | 0.144501 | + | 0.121251i | 0.712173 | − | 0.702004i | \(-0.247711\pi\) |
−0.567672 | + | 0.823255i | \(0.692156\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.58475 | − | 14.6589i | −0.123083 | − | 0.698041i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.98068 | − | 19.1793i | 0.331662 | − | 0.911235i | −0.656017 | − | 0.754746i | \(-0.727760\pi\) |
0.987680 | − | 0.156489i | \(-0.0500175\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.9142 | − | 12.6522i | −1.03883 | − | 0.599772i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 3.68647 | − | 3.09332i | 0.174364 | − | 0.146309i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −35.2788 | + | 20.3682i | −1.66491 | + | 0.961235i | −0.694588 | + | 0.719407i | \(0.744413\pi\) |
−0.970319 | + | 0.241828i | \(0.922253\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.01401 | − | 28.4359i | 0.236101 | − | 1.33899i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 16.5029 | − | 6.00657i | 0.775375 | − | 0.282213i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 37.9690 | 1.78001 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.2411 | −0.712950 | −0.356475 | − | 0.934305i | \(-0.616021\pi\) | ||||
−0.356475 | + | 0.934305i | \(0.616021\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3.80049 | − | 1.38326i | 0.177392 | − | 0.0645653i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −4.81659 | + | 27.3162i | −0.224331 | + | 1.27224i | 0.639629 | + | 0.768684i | \(0.279088\pi\) |
−0.863960 | + | 0.503560i | \(0.832023\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.60873 | + | 2.66085i | −0.214186 | + | 0.123660i | −0.603255 | − | 0.797548i | \(-0.706130\pi\) |
0.389069 | + | 0.921208i | \(0.372797\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −13.7178 | + | 11.5106i | −0.636148 | + | 0.533792i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 8.12931 | + | 4.69346i | 0.376179 | + | 0.217187i | 0.676155 | − | 0.736760i | \(-0.263645\pi\) |
−0.299975 | + | 0.953947i | \(0.596978\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.83714 | + | 16.0374i | −0.269534 | + | 0.740539i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.759551 | + | 4.30763i | 0.0349982 | + | 0.198485i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 6.39347 | + | 5.36476i | 0.293972 | + | 0.246672i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.86728 | + | 11.7250i | 0.315092 | + | 0.537979i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 4.61481 | − | 5.49971i | 0.211297 | − | 0.251814i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 27.2263 | − | 4.80073i | 1.24400 | − | 0.219351i | 0.487372 | − | 0.873194i | \(-0.337956\pi\) |
0.756630 | + | 0.653843i | \(0.226844\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.2083 | − | 6.26332i | −0.784633 | − | 0.285583i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −14.2201 | + | 24.6299i | −0.647036 | + | 1.12070i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −33.5420 | − | 39.9738i | −1.52306 | − | 1.81512i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.99966 | + | 10.3917i | 0.271871 | + | 0.470894i | 0.969341 | − | 0.245720i | \(-0.0790244\pi\) |
−0.697470 | + | 0.716614i | \(0.745691\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.0194083 | − | 0.00342222i | −0.000877676 | − | 0.000154758i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.28168 | + | 17.2588i | 0.283488 | + | 0.778877i | 0.996940 | + | 0.0781730i | \(0.0249086\pi\) |
−0.713452 | + | 0.700705i | \(0.752869\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 22.9216i | 1.03234i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | − | 13.9446i | − | 0.626765i | ||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.40500 | − | 3.86020i | −0.0630228 | − | 0.173154i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.3363 | + | 2.88053i | 0.731313 | + | 0.128950i | 0.526891 | − | 0.849933i | \(-0.323357\pi\) |
0.204422 | + | 0.978883i | \(0.434469\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.10760 | − | 1.91841i | −0.0494838 | − | 0.0857084i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 20.1798 | + | 24.0494i | 0.899775 | + | 1.07231i | 0.997027 | + | 0.0770502i | \(0.0245502\pi\) |
−0.0972523 | + | 0.995260i | \(0.531005\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −20.5776 | + | 35.6414i | −0.915691 | + | 1.58602i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −4.59021 | − | 1.67070i | −0.203859 | − | 0.0741985i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −21.0772 | + | 3.71648i | −0.934231 | + | 0.164730i | −0.619987 | − | 0.784612i | \(-0.712862\pi\) |
−0.314244 | + | 0.949342i | \(0.601751\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −30.0395 | + | 35.7997i | −1.32887 | + | 1.58369i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 4.08665 | − | 1.51635i | 0.180430 | − | 0.0669484i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 36.5763 | + | 30.6912i | 1.61175 | + | 1.35241i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.22037 | − | 40.9488i | −0.317552 | − | 1.80092i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 6.54935 | − | 17.9942i | 0.287485 | − | 0.789857i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −26.9656 | − | 15.5686i | −1.18139 | − | 0.682073i | −0.225051 | − | 0.974347i | \(-0.572255\pi\) |
−0.956335 | + | 0.292274i | \(0.905588\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.43227 | − | 2.04092i | 0.106356 | − | 0.0892432i | −0.588059 | − | 0.808818i | \(-0.700108\pi\) |
0.694415 | + | 0.719575i | \(0.255663\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 12.6294 | − | 7.29161i | 0.551194 | − | 0.318232i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.41417 | − | 25.0340i | 0.192284 | − | 1.09050i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.1169 | − | 4.77418i | 0.570302 | − | 0.207573i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.71761 | 0.204727 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 16.8060 | 0.727947 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.41562 | + | 1.97112i | −0.234138 | + | 0.0852191i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −0.635659 | + | 3.60500i | −0.0274307 | + | 0.155567i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 63.0929 | − | 36.4267i | 2.71760 | − | 1.56901i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.21236 | − | 6.89099i | 0.353077 | − | 0.296267i | −0.448947 | − | 0.893558i | \(-0.648201\pi\) |
0.802024 | + | 0.597292i | \(0.203756\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −4.19375 | − | 2.42126i | −0.179971 | − | 0.103906i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −15.5794 | + | 42.8041i | −0.667349 | + | 1.83353i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.10634 | + | 17.6169i | 0.132817 | + | 0.753245i | 0.976355 | + | 0.216175i | \(0.0693581\pi\) |
−0.843537 | + | 0.537071i | \(0.819531\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 3.15627 | + | 2.64842i | 0.134706 | + | 0.113032i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.154066 | + | 24.7035i | 0.00656343 | + | 1.05241i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 39.1699 | − | 46.6809i | 1.66567 | − | 1.98507i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −18.0369 | + | 3.18039i | −0.765622 | + | 0.135000i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 8.19354 | + | 2.98220i | 0.347171 | + | 0.126360i | 0.509720 | − | 0.860341i | \(-0.329749\pi\) |
−0.162548 | + | 0.986701i | \(0.551971\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.42885 | + | 4.20689i | −0.102729 | + | 0.177933i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 12.7240 | + | 15.1638i | 0.537206 | + | 0.640217i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −10.8654 | − | 18.8194i | −0.457923 | − | 0.793145i | 0.540928 | − | 0.841069i | \(-0.318073\pi\) |
−0.998851 | + | 0.0479235i | \(0.984740\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.47920 | − | 0.966131i | −0.230512 | − | 0.0406454i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.60002 | − | 4.39601i | −0.0671944 | − | 0.184615i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − | 2.90816i | − | 0.121916i | −0.998140 | − | 0.0609582i | \(-0.980584\pi\) | ||
0.998140 | − | 0.0609582i | \(-0.0194156\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 25.5999i | − | 1.07132i | −0.844433 | − | 0.535661i | \(-0.820062\pi\) | ||
0.844433 | − | 0.535661i | \(-0.179938\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.942598 | + | 2.58977i | 0.0393776 | + | 0.108189i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −18.6634 | − | 3.29086i | −0.778317 | − | 0.137238i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.04834 | + | 3.54783i | 0.0852735 | + | 0.147698i | 0.905508 | − | 0.424330i | \(-0.139490\pi\) |
−0.820234 | + | 0.572028i | \(0.806157\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −8.72883 | − | 10.4026i | −0.362758 | − | 0.432318i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −11.5710 | + | 20.0416i | −0.480047 | + | 0.831466i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 33.0197 | + | 12.0182i | 1.36754 | + | 0.497742i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 7.99295 | − | 1.40937i | 0.330468 | − | 0.0582704i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −19.7796 | + | 23.5724i | −0.816389 | + | 0.972935i | −0.999949 | − | 0.0100735i | \(-0.996793\pi\) |
0.183560 | + | 0.983009i | \(0.441238\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.58907 | − | 27.0098i | 0.189089 | − | 1.11292i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −11.7165 | − | 9.83135i | −0.481954 | − | 0.404408i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −1.24630 | − | 7.06810i | −0.0511793 | − | 0.290252i | 0.948466 | − | 0.316878i | \(-0.102635\pi\) |
−0.999645 | + | 0.0266262i | \(0.991524\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.4368 | + | 50.6546i | −0.755834 | + | 2.07664i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −9.17027 | − | 5.29446i | −0.375314 | − | 0.216688i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 25.0293 | − | 21.0021i | 1.02267 | − | 0.858121i | 0.0327087 | − | 0.999465i | \(-0.489587\pi\) |
0.989961 | + | 0.141344i | \(0.0451422\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 29.6670 | − | 17.1283i | 1.21014 | − | 0.698677i | 0.247353 | − | 0.968925i | \(-0.420439\pi\) |
0.962790 | + | 0.270249i | \(0.0871060\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.633499 | + | 3.59275i | −0.0257981 | + | 0.146308i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 34.6849 | − | 12.6243i | 1.41014 | − | 0.513250i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.0101 | −0.487474 | −0.243737 | − | 0.969841i | \(-0.578373\pi\) | ||||
−0.243737 | + | 0.969841i | \(0.578373\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 26.5133 | 1.07437 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 22.7417 | − | 8.27731i | 0.920032 | − | 0.334864i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.57030 | − | 14.5769i | 0.103814 | − | 0.588756i | −0.887874 | − | 0.460087i | \(-0.847818\pi\) |
0.991688 | − | 0.128669i | \(-0.0410706\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 14.5563 | − | 8.40407i | 0.586966 | − | 0.338885i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −1.39479 | + | 1.17037i | −0.0561523 | + | 0.0471174i | −0.670432 | − | 0.741971i | \(-0.733891\pi\) |
0.614280 | + | 0.789088i | \(0.289447\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −22.2894 | − | 12.8688i | −0.895888 | − | 0.517241i | −0.0200241 | − | 0.999799i | \(-0.506374\pi\) |
−0.875864 | + | 0.482558i | \(0.839708\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −2.07927 | + | 5.71274i | −0.0834381 | + | 0.229244i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.21495 | − | 40.9180i | −0.289061 | − | 1.63935i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −23.6470 | − | 19.8422i | −0.945879 | − | 0.793687i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 13.8151 | + | 16.2572i | 0.551721 | + | 0.649249i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 16.7119 | − | 19.9164i | 0.666345 | − | 0.794119i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.64330 | + | 1.52405i | −0.344084 | + | 0.0606714i | −0.343020 | − | 0.939328i | \(-0.611450\pi\) |
−0.00106431 | + | 0.999999i | \(0.500339\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.64703 | + | 2.41932i | 0.264196 | + | 0.0961594i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 13.0456 | − | 22.5956i | 0.517697 | − | 0.896678i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 27.2562 | + | 32.4827i | 1.07993 | + | 1.28701i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −0.439057 | − | 0.760469i | −0.0173688 | − | 0.0300837i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −29.4382 | − | 5.19075i | −1.16274 | − | 0.205022i | −0.441209 | − | 0.897405i | \(-0.645450\pi\) |
−0.721531 | + | 0.692382i | \(0.756561\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.4284 | − | 31.3991i | −0.450690 | − | 1.23826i | −0.932239 | − | 0.361842i | \(-0.882148\pi\) |
0.481549 | − | 0.876419i | \(-0.340074\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 4.85834i | 0.191297i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 35.9167i | 1.41203i | 0.708197 | + | 0.706015i | \(0.249509\pi\) | ||||
−0.708197 | + | 0.706015i | \(0.750491\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.89724 | + | 21.6975i | 0.309994 | + | 0.851701i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −28.9567 | − | 5.10585i | −1.13490 | − | 0.200114i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −7.49870 | − | 12.9881i | −0.293447 | − | 0.508265i | 0.681176 | − | 0.732120i | \(-0.261469\pi\) |
−0.974622 | + | 0.223855i | \(0.928136\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −14.3293 | − | 17.0770i | −0.559893 | − | 0.667254i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.99485 | + | 8.65133i | −0.194868 | + | 0.337521i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −14.5493 | − | 5.29551i | −0.566760 | − | 0.206284i | 0.0427176 | − | 0.999087i | \(-0.486398\pi\) |
−0.609477 | + | 0.792804i | \(0.708621\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 27.8852 | − | 4.91691i | 1.08461 | − | 0.191245i | 0.397355 | − | 0.917665i | \(-0.369928\pi\) |
0.687252 | + | 0.726419i | \(0.258817\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −7.40578 | + | 8.82586i | −0.287617 | + | 0.342768i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −19.5296 | + | 54.7165i | −0.757325 | + | 2.12181i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −26.3939 | − | 22.1471i | −1.02198 | − | 0.857539i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.73178 | − | 15.4927i | −0.105617 | − | 0.598981i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −6.89720 | + | 18.9499i | −0.266263 | + | 0.731552i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −24.1937 | − | 13.9683i | −0.932600 | − | 0.538437i | −0.0449672 | − | 0.998988i | \(-0.514318\pi\) |
−0.887633 | + | 0.460552i | \(0.847652\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 2.38800 | − | 2.00377i | 0.0919141 | − | 0.0771251i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 20.4385 | − | 11.8002i | 0.785516 | − | 0.453518i | −0.0528659 | − | 0.998602i | \(-0.516836\pi\) |
0.838381 | + | 0.545084i | \(0.183502\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.8785 | − | 84.3801i | 0.570984 | − | 3.23821i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 16.9169 | − | 6.15726i | 0.648258 | − | 0.235947i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.71809 | 0.218796 | 0.109398 | − | 0.993998i | \(-0.465108\pi\) | ||||
0.109398 | + | 0.993998i | \(0.465108\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 33.7882 | 1.29098 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −21.1258 | + | 7.68916i | −0.805999 | + | 0.293360i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −3.55145 | + | 20.1413i | −0.135299 | + | 0.767321i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.36639 | + | 3.09829i | −0.204147 | + | 0.117864i | −0.598588 | − | 0.801057i | \(-0.704271\pi\) |
0.394441 | + | 0.918921i | \(0.370938\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 17.5399 | − | 14.7178i | 0.666288 | − | 0.559082i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 45.1315 | + | 26.0567i | 1.71194 | + | 0.988387i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.16055 | + | 22.4209i | −0.309103 | + | 0.849253i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 1.95991 | + | 11.1152i | 0.0741307 | + | 0.420416i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −25.0835 | − | 21.0475i | −0.947389 | − | 0.794954i | 0.0314665 | − | 0.999505i | \(-0.489982\pi\) |
−0.978856 | + | 0.204551i | \(0.934427\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 17.8772 | − | 21.5771i | 0.674251 | − | 0.813795i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 15.5583 | − | 18.5416i | 0.585959 | − | 0.698319i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −66.5493 | + | 11.7344i | −2.50284 | + | 0.441319i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.32585 | − | 0.482569i | −0.0497932 | − | 0.0181232i | 0.317003 | − | 0.948424i | \(-0.397323\pi\) |
−0.366797 | + | 0.930301i | \(0.619546\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 6.51301 | − | 11.2809i | 0.244257 | − | 0.423066i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 24.5613 | + | 29.2710i | 0.919827 | + | 1.09621i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 19.8622 | + | 34.4023i | 0.742803 | + | 1.28657i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −19.7421 | − | 3.48107i | −0.737283 | − | 0.130003i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 7.57231 | + | 20.8047i | 0.282399 | + | 0.775886i | 0.997075 | + | 0.0764300i | \(0.0243522\pi\) |
−0.714675 | + | 0.699456i | \(0.753426\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 78.3995i | 2.91975i | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 14.5575i | − | 0.541401i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.04258 | + | 16.6019i | 0.224416 | + | 0.616577i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.2975 | − | 2.16838i | −0.456089 | − | 0.0804207i | −0.0591159 | − | 0.998251i | \(-0.518828\pi\) |
−0.396973 | + | 0.917830i | \(0.629939\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.43305 | − | 5.28310i | −0.163962 | − | 0.195403i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.44116 | + | 14.6205i | −0.311781 | + | 0.540021i | −0.978748 | − | 0.205066i | \(-0.934259\pi\) |
0.666967 | + | 0.745088i | \(0.267592\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 39.8511 | + | 14.5046i | 1.46993 | + | 0.535011i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −17.5844 | + | 3.10061i | −0.647730 | + | 0.114212i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 4.14022 | − | 4.93412i | 0.152301 | − | 0.181505i | −0.684500 | − | 0.729013i | \(-0.739979\pi\) |
0.836800 | + | 0.547509i | \(0.184424\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −7.92219 | + | 9.56178i | −0.291029 | + | 0.351261i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −22.5488 | − | 18.9207i | −0.827234 | − | 0.694132i | 0.127420 | − | 0.991849i | \(-0.459330\pi\) |
−0.954654 | + | 0.297717i | \(0.903775\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.38086 | + | 13.5025i | 0.0872279 | + | 0.494694i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.69192 | + | 4.64852i | −0.0619042 | + | 0.170080i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −8.19521 | − | 4.73151i | −0.299446 | − | 0.172885i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.53434 | − | 6.32206i | 0.274932 | − | 0.230695i | −0.494887 | − | 0.868957i | \(-0.664791\pi\) |
0.769819 | + | 0.638262i | \(0.220346\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −19.9176 | + | 11.4994i | −0.725837 | + | 0.419062i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −8.68863 | + | 49.2757i | −0.316212 | + | 1.79332i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −23.6681 | + | 8.61448i | −0.860232 | + | 0.313099i | −0.734205 | − | 0.678928i | \(-0.762445\pi\) |
−0.126027 | + | 0.992027i | \(0.540223\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −29.7550 | −1.08004 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 37.9286 | 1.37491 | 0.687455 | − | 0.726227i | \(-0.258728\pi\) | ||||
0.687455 | + | 0.726227i | \(0.258728\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −70.2833 | + | 25.5810i | −2.54443 | + | 0.926096i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.00092 | + | 11.3478i | −0.0723435 | + | 0.410280i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −11.6386 | + | 6.71958i | −0.420247 | + | 0.242630i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.6891 | − | 15.6820i | 0.673945 | − | 0.565507i | −0.240285 | − | 0.970702i | \(-0.577241\pi\) |
0.914230 | + | 0.405195i | \(0.132796\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.50954 | − | 5.49034i | −0.342478 | − | 0.197730i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −13.8058 | + | 37.9312i | −0.496561 | + | 1.36429i | 0.398016 | + | 0.917378i | \(0.369699\pi\) |
−0.894578 | + | 0.446913i | \(0.852524\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.40232 | − | 19.2955i | −0.122215 | − | 0.693115i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −23.0373 | − | 19.3305i | −0.826457 | − | 0.693480i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −8.64426 | + | 24.2188i | −0.309713 | + | 0.867729i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.76261 | − | 3.29235i | 0.0988539 | − | 0.117809i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 5.58139 | − | 0.984149i | 0.199463 | − | 0.0351706i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −11.7106 | − | 4.26230i | −0.417969 | − | 0.152128i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 10.4259 | − | 18.0582i | 0.371643 | − | 0.643705i | −0.618175 | − | 0.786040i | \(-0.712128\pi\) |
0.989818 | + | 0.142336i | \(0.0454612\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −17.1892 | − | 20.4853i | −0.611951 | − | 0.729294i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.56776 | − | 7.91158i | −0.162411 | − | 0.281304i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.5590 | − | 2.03817i | −0.410472 | − | 0.0723774i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 6.99590 | + | 19.2211i | 0.248119 | + | 0.681701i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 7.54992i | 0.267432i | 0.991020 | + | 0.133716i | \(0.0426910\pi\) | ||||
−0.991020 | + | 0.133716i | \(0.957309\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 34.3591i | 1.21554i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.03768 | − | 8.34595i | −0.107331 | − | 0.294890i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −48.1510 | − | 8.49031i | −1.69921 | − | 0.299617i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −40.5143 | − | 70.1728i | −1.42794 | − | 2.47326i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −16.9747 | − | 20.2296i | −0.597537 | − | 0.712117i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −16.9203 | + | 29.3068i | −0.594886 | + | 1.03037i | 0.398677 | + | 0.917092i | \(0.369470\pi\) |
−0.993563 | + | 0.113282i | \(0.963864\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 25.4324 | + | 9.25662i | 0.893051 | + | 0.325044i | 0.747465 | − | 0.664302i | \(-0.231271\pi\) |
0.145586 | + | 0.989346i | \(0.453493\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.60301 | + | 0.282654i | −0.0562199 | + | 0.00991309i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0.0360920 | − | 0.0430127i | 0.00126425 | − | 0.00150667i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.81319 | − | 5.66402i | −0.168392 | − | 0.198159i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 10.2088 | + | 8.56624i | 0.356726 | + | 0.299329i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −3.04847 | − | 17.2888i | −0.106392 | − | 0.603382i | −0.990655 | − | 0.136392i | \(-0.956449\pi\) |
0.884263 | − | 0.466990i | \(-0.154662\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.41545 | + | 23.1213i | −0.293344 | + | 0.805956i | 0.702228 | + | 0.711952i | \(0.252189\pi\) |
−0.995572 | + | 0.0940039i | \(0.970033\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 13.2133 | + | 7.62871i | 0.460029 | + | 0.265598i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −19.0960 | + | 16.0235i | −0.664034 | + | 0.557191i | −0.911293 | − | 0.411759i | \(-0.864915\pi\) |
0.247259 | + | 0.968949i | \(0.420470\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 28.6062 | − | 16.5158i | 0.993534 | − | 0.573617i | 0.0872051 | − | 0.996190i | \(-0.472206\pi\) |
0.906329 | + | 0.422573i | \(0.138873\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 1.20434 | − | 6.83014i | 0.0417780 | − | 0.236935i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −56.5702 | + | 20.5899i | −1.96004 | + | 0.713397i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.31128 | 0.218411 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −6.28528 | −0.217251 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −2.64981 | + | 0.964450i | −0.0914815 | + | 0.0332965i | −0.387355 | − | 0.921930i | \(-0.626611\pi\) |
0.295874 | + | 0.955227i | \(0.404389\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.541857 | + | 3.07303i | −0.0186847 | + | 0.105966i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −12.9236 | + | 7.46142i | −0.445111 | + | 0.256985i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 10.6612 | − | 8.94583i | 0.366757 | − | 0.307746i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 52.4871 | + | 30.3034i | 1.80348 | + | 1.04124i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 8.66048 | − | 23.7945i | 0.297227 | − | 0.816624i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 6.78629 | + | 38.4870i | 0.232631 | + | 1.31932i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 31.6743 | + | 26.5779i | 1.08451 | + | 0.910010i | 0.996287 | − | 0.0860913i | \(-0.0274377\pi\) |
0.0882201 | + | 0.996101i | \(0.471882\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.08020 | + | 12.2434i | −0.0711414 | + | 0.418717i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −4.36613 | + | 5.20335i | −0.149144 | + | 0.177743i | −0.835444 | − | 0.549576i | \(-0.814789\pi\) |
0.686300 | + | 0.727319i | \(0.259234\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 15.0100 | − | 2.64667i | 0.512136 | − | 0.0903034i | 0.0883926 | − | 0.996086i | \(-0.471827\pi\) |
0.423743 | + | 0.905782i | \(0.360716\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 25.9342 | + | 9.43928i | 0.883835 | + | 0.321690i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −27.9022 | + | 48.3280i | −0.949801 | + | 1.64510i | −0.203959 | + | 0.978979i | \(0.565381\pi\) |
−0.745842 | + | 0.666123i | \(0.767952\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 35.0687 | + | 41.7933i | 1.19237 | + | 1.42101i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0.321430 | + | 0.556733i | 0.0109163 | + | 0.0189076i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 62.7862 | + | 11.0709i | 2.12988 | + | 0.375555i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.55448 | − | 9.76587i | −0.120439 | − | 0.330904i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | − | 18.3154i | − | 0.619881i | ||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | − | 25.0933i | − | 0.848309i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.02720 | + | 13.8121i | 0.169757 | + | 0.466402i | 0.995175 | − | 0.0981196i | \(-0.0312828\pi\) |
−0.825418 | + | 0.564522i | \(0.809061\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 28.1020 | + | 4.95515i | 0.947858 | + | 0.167133i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −14.1901 | − | 24.5780i | −0.478077 | − | 0.828053i | 0.521607 | − | 0.853186i | \(-0.325333\pi\) |
−0.999684 | + | 0.0251325i | \(0.991999\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.51057 | + | 6.56724i | 0.185445 | + | 0.221005i | 0.850755 | − | 0.525562i | \(-0.176145\pi\) |
−0.665310 | + | 0.746567i | \(0.731701\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −6.72045 | + | 11.6402i | −0.225906 | + | 0.391280i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 14.7526 | + | 5.36951i | 0.495344 | + | 0.180290i | 0.577599 | − | 0.816321i | \(-0.303990\pi\) |
−0.0822547 | + | 0.996611i | \(0.526212\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 42.1902 | − | 7.43926i | 1.41501 | − | 0.249505i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 3.14607 | − | 3.74934i | 0.105397 | − | 0.125608i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.230943 | + | 37.0302i | 0.00772820 | + | 1.23917i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.98939 | − | 6.70390i | −0.267056 | − | 0.224087i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.00731 | − | 17.0553i | −0.100411 | − | 0.569460i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 12.1834 | − | 33.4735i | 0.406338 | − | 1.11640i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −25.1461 | − | 14.5181i | −0.837737 | − | 0.483668i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −6.11095 | + | 5.12769i | −0.203360 | + | 0.170639i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 11.9484 | − | 6.89839i | 0.397177 | − | 0.229310i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −2.71921 | + | 15.4214i | −0.0902898 | + | 0.512059i | 0.905800 | + | 0.423707i | \(0.139271\pi\) |
−0.996089 | + | 0.0883522i | \(0.971840\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −13.5739 | + | 4.94049i | −0.450218 | + | 0.163866i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −18.3009 | −0.606336 | −0.303168 | − | 0.952937i | \(-0.598044\pi\) | ||||
−0.303168 | + | 0.952937i | \(0.598044\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −24.2120 | −0.801299 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −11.0309 | + | 4.01493i | −0.364671 | + | 0.132729i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 6.35617 | − | 36.0476i | 0.209899 | − | 1.19040i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.48553 | + | 2.01237i | −0.114977 | + | 0.0663819i | −0.556386 | − | 0.830924i | \(-0.687812\pi\) |
0.441409 | + | 0.897306i | \(0.354479\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −19.3527 | + | 16.2389i | −0.637693 | + | 0.535088i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 2.16636 | + | 1.25075i | 0.0713066 | + | 0.0411689i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.85386 | − | 18.8308i | 0.225354 | − | 0.619154i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 2.91012 | + | 16.5041i | 0.0955807 | + | 0.542065i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −7.92858 | − | 6.65287i | −0.260128 | − | 0.218273i | 0.503391 | − | 0.864059i | \(-0.332086\pi\) |
−0.763519 | + | 0.645785i | \(0.776530\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −60.8297 | + | 22.5708i | −1.99361 | + | 0.739728i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 5.57874 | − | 6.64849i | 0.182640 | − | 0.217662i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −55.5408 | + | 9.79335i | −1.81638 | + | 0.320277i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.16476 | + | 1.15188i | 0.103388 | + | 0.0376303i | 0.393196 | − | 0.919455i | \(-0.371369\pi\) |
−0.289808 | + | 0.957085i | \(0.593591\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.535948 | + | 0.928289i | −0.0174900 | + | 0.0302936i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 19.3375 | + | 23.0455i | 0.630384 | + | 0.751262i | 0.982819 | − | 0.184574i | \(-0.0590905\pi\) |
−0.352435 | + | 0.935836i | \(0.614646\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −17.9326 | − | 31.0601i | −0.583965 | − | 1.01146i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 13.1259 | + | 2.31446i | 0.426987 | + | 0.0752894i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −16.9107 | − | 46.4618i | −0.549525 | − | 1.50981i | −0.834354 | − | 0.551229i | \(-0.814159\pi\) |
0.284829 | − | 0.958578i | \(-0.408063\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 28.4578i | − | 0.923780i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 1.90788i | − | 0.0618671i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −0.458113 | − | 1.25865i | −0.0148397 | − | 0.0407718i | 0.932052 | − | 0.362326i | \(-0.118017\pi\) |
−0.946891 | + | 0.321554i | \(0.895795\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.73272 | − | 1.36349i | −0.250225 | − | 0.0441214i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 13.8695 | + | 24.0227i | 0.448338 | + | 0.776545i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 35.6615 | + | 42.4997i | 1.15157 | + | 1.37239i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.25240 | + | 7.36537i | −0.137174 | + | 0.237592i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −1.90082 | − | 0.691844i | −0.0612532 | − | 0.0222943i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 38.1018 | − | 6.71838i | 1.22654 | − | 0.216272i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.3553 | + | 31.4090i | −0.847529 | + | 1.01005i | 0.152236 | + | 0.988344i | \(0.451353\pi\) |
−0.999765 | + | 0.0217012i | \(0.993092\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −8.90960 | − | 15.2120i | −0.286218 | − | 0.488680i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 0.929020 | + | 0.779540i | 0.0298137 | + | 0.0250166i | 0.657573 | − | 0.753391i | \(-0.271583\pi\) |
−0.627759 | + | 0.778408i | \(0.716028\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 14.8589 | + | 84.2690i | 0.476355 | + | 2.70154i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −3.03726 | + | 8.34479i | −0.0972700 | + | 0.267247i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −8.27777 | − | 4.77918i | −0.264829 | − | 0.152899i | 0.361706 | − | 0.932292i | \(-0.382194\pi\) |
−0.626536 | + | 0.779393i | \(0.715528\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 33.3001 | − | 27.9421i | 1.06427 | − | 0.893032i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −13.8460 | + | 7.99398i | −0.442068 | + | 0.255228i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.25750 | − | 7.13166i | 0.0401081 | − | 0.227465i | −0.958164 | − | 0.286219i | \(-0.907602\pi\) |
0.998272 | + | 0.0587540i | \(0.0187128\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 40.9484 | − | 14.9040i | 1.30473 | − | 0.474881i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 39.7431 | 1.26504 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 10.3667 | 0.329642 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 42.9835 | − | 15.6447i | 1.36542 | − | 0.496970i | 0.447691 | − | 0.894188i | \(-0.352247\pi\) |
0.917724 | + | 0.397218i | \(0.130024\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −2.17831 | + | 12.3538i | −0.0691267 | + | 0.392037i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 26.1269 | − | 15.0844i | 0.828279 | − | 0.478207i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 2.90059 | − | 2.43388i | 0.0918625 | − | 0.0770818i | −0.595700 | − | 0.803207i | \(-0.703125\pi\) |
0.687562 | + | 0.726125i | \(0.258681\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −5.56717 | − | 3.21420i | −0.176137 | − | 0.101693i |
(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 | 912.2.ci.g.79.3 | ✓ | 24 | |
4.3 | odd | 2 | 912.2.ci.h.79.3 | yes | 24 | ||
19.13 | odd | 18 | 912.2.ci.h.127.3 | yes | 24 | ||
76.51 | even | 18 | inner | 912.2.ci.g.127.3 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
912.2.ci.g.79.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
912.2.ci.g.127.3 | yes | 24 | 76.51 | even | 18 | inner | |
912.2.ci.h.79.3 | yes | 24 | 4.3 | odd | 2 | ||
912.2.ci.h.127.3 | yes | 24 | 19.13 | odd | 18 |