Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1470,2,Mod(589,1470)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1470, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1470.589");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1470 = 2 \cdot 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1470.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.7380090971\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | 6.0.29160000.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 20x^{3} + 125 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 210) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 589.5 | ||
Root | \(-0.806615 + 2.08551i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1470.589 |
Dual form | 1470.2.g.i.589.2 |
$q$-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 \(\left(\mathbb{Z}/1470\mathbb{Z}\right)^\times\).
\(n\) | \(491\) | \(1081\) | \(1177\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.806615 | − | 2.08551i | −0.360729 | − | 0.932671i | ||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 2.08551 | − | 0.806615i | 0.659498 | − | 0.255074i | ||||
\(11\) | −4.78426 | −1.44251 | −0.721254 | − | 0.692670i | \(-0.756434\pi\) | ||||
−0.721254 | + | 0.692670i | \(0.756434\pi\) | |||||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | 3.17103i | 0.879485i | 0.898124 | + | 0.439743i | \(0.144930\pi\) | ||||
−0.898124 | + | 0.439743i | \(0.855070\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.08551 | + | 0.806615i | −0.538478 | + | 0.208267i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 5.22646i | 1.26760i | 0.773496 | + | 0.633801i | \(0.218506\pi\) | ||||
−0.773496 | + | 0.633801i | \(0.781494\pi\) | |||||||
\(18\) | − | 1.00000i | − | 0.235702i | ||||||
\(19\) | 3.17103 | 0.727484 | 0.363742 | − | 0.931500i | \(-0.381499\pi\) | ||||
0.363742 | + | 0.931500i | \(0.381499\pi\) | |||||||
\(20\) | 0.806615 | + | 2.08551i | 0.180365 | + | 0.466335i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 4.78426i | − | 1.02001i | ||||||
\(23\) | − | 7.17103i | − | 1.49526i | −0.664114 | − | 0.747632i | \(-0.731191\pi\) | ||
0.664114 | − | 0.747632i | \(-0.268809\pi\) | |||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | −3.69874 | + | 3.36441i | −0.739749 | + | 0.672883i | ||||
\(26\) | −3.17103 | −0.621890 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.38677 | −0.443212 | −0.221606 | − | 0.975136i | \(-0.571130\pi\) | ||||
−0.221606 | + | 0.975136i | \(0.571130\pi\) | |||||||
\(30\) | −0.806615 | − | 2.08551i | −0.147267 | − | 0.380761i | ||||
\(31\) | 4.17103 | 0.749139 | 0.374570 | − | 0.927199i | \(-0.377791\pi\) | ||||
0.374570 | + | 0.927199i | \(0.377791\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 4.78426i | 0.832833i | ||||||||
\(34\) | −5.22646 | −0.896330 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | 7.17103i | 1.17891i | 0.807801 | + | 0.589455i | \(0.200657\pi\) | ||||
−0.807801 | + | 0.589455i | \(0.799343\pi\) | |||||||
\(38\) | 3.17103i | 0.514409i | ||||||||
\(39\) | 3.17103 | 0.507771 | ||||||||
\(40\) | −2.08551 | + | 0.806615i | −0.329749 | + | 0.127537i | ||||
\(41\) | −2.05543 | −0.321004 | −0.160502 | − | 0.987035i | \(-0.551311\pi\) | ||||
−0.160502 | + | 0.987035i | \(0.551311\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.00000i | 0.304997i | 0.988304 | + | 0.152499i | \(0.0487319\pi\) | ||||
−0.988304 | + | 0.152499i | \(0.951268\pi\) | |||||||
\(44\) | 4.78426 | 0.721254 | ||||||||
\(45\) | 0.806615 | + | 2.08551i | 0.120243 | + | 0.310890i | ||||
\(46\) | 7.17103 | 1.05731 | ||||||||
\(47\) | 11.5131i | 1.67936i | 0.543084 | + | 0.839678i | \(0.317256\pi\) | ||||
−0.543084 | + | 0.839678i | \(0.682744\pi\) | |||||||
\(48\) | − | 1.00000i | − | 0.144338i | ||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3.36441 | − | 3.69874i | −0.475800 | − | 0.523081i | ||||
\(51\) | 5.22646 | 0.731851 | ||||||||
\(52\) | − | 3.17103i | − | 0.439743i | ||||||
\(53\) | 8.11560i | 1.11476i | 0.830256 | + | 0.557382i | \(0.188194\pi\) | ||||
−0.830256 | + | 0.557382i | \(0.811806\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 3.85906 | + | 9.97764i | 0.520355 | + | 1.34539i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 3.17103i | − | 0.420013i | ||||||
\(58\) | − | 2.38677i | − | 0.313398i | ||||||
\(59\) | 10.7288 | 1.39677 | 0.698387 | − | 0.715720i | \(-0.253901\pi\) | ||||
0.698387 | + | 0.715720i | \(0.253901\pi\) | |||||||
\(60\) | 2.08551 | − | 0.806615i | 0.269239 | − | 0.104134i | ||||
\(61\) | 7.11560 | 0.911059 | 0.455530 | − | 0.890221i | \(-0.349450\pi\) | ||||
0.455530 | + | 0.890221i | \(0.349450\pi\) | |||||||
\(62\) | 4.17103i | 0.529721i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 6.61323 | − | 2.55780i | 0.820270 | − | 0.317256i | ||||
\(66\) | −4.78426 | −0.588902 | ||||||||
\(67\) | 9.56852i | 1.16898i | 0.811401 | + | 0.584490i | \(0.198706\pi\) | ||||
−0.811401 | + | 0.584490i | \(0.801294\pi\) | |||||||
\(68\) | − | 5.22646i | − | 0.633801i | ||||||
\(69\) | −7.17103 | −0.863291 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.00000 | 0.712069 | 0.356034 | − | 0.934473i | \(-0.384129\pi\) | ||||
0.356034 | + | 0.934473i | \(0.384129\pi\) | |||||||
\(72\) | 1.00000i | 0.117851i | ||||||||
\(73\) | − | 4.00000i | − | 0.468165i | −0.972217 | − | 0.234082i | \(-0.924791\pi\) | ||
0.972217 | − | 0.234082i | \(-0.0752085\pi\) | |||||||
\(74\) | −7.17103 | −0.833615 | ||||||||
\(75\) | 3.36441 | + | 3.69874i | 0.388489 | + | 0.427094i | ||||
\(76\) | −3.17103 | −0.363742 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 3.17103i | 0.359048i | ||||||||
\(79\) | −12.1710 | −1.36935 | −0.684674 | − | 0.728850i | \(-0.740055\pi\) | ||||
−0.684674 | + | 0.728850i | \(0.740055\pi\) | |||||||
\(80\) | −0.806615 | − | 2.08551i | −0.0901823 | − | 0.233168i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 2.05543i | − | 0.226984i | ||||||
\(83\) | 3.39749i | 0.372923i | 0.982462 | + | 0.186461i | \(0.0597019\pi\) | ||||
−0.982462 | + | 0.186461i | \(0.940298\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 10.8999 | − | 4.21574i | 1.18226 | − | 0.457261i | ||||
\(86\) | −2.00000 | −0.215666 | ||||||||
\(87\) | 2.38677i | 0.255889i | ||||||||
\(88\) | 4.78426i | 0.510004i | ||||||||
\(89\) | −9.56852 | −1.01426 | −0.507131 | − | 0.861869i | \(-0.669294\pi\) | ||||
−0.507131 | + | 0.861869i | \(0.669294\pi\) | |||||||
\(90\) | −2.08551 | + | 0.806615i | −0.219833 | + | 0.0850247i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 7.17103i | 0.747632i | ||||||||
\(93\) | − | 4.17103i | − | 0.432516i | ||||||
\(94\) | −11.5131 | −1.18748 | ||||||||
\(95\) | −2.55780 | − | 6.61323i | −0.262425 | − | 0.678503i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | − | 1.27117i | − | 0.129068i | −0.997916 | − | 0.0645339i | \(-0.979444\pi\) | ||
0.997916 | − | 0.0645339i | \(-0.0205561\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.78426 | 0.480836 | ||||||||
\(100\) | 3.69874 | − | 3.36441i | 0.369874 | − | 0.336441i | ||||
\(101\) | −8.00000 | −0.796030 | −0.398015 | − | 0.917379i | \(-0.630301\pi\) | ||||
−0.398015 | + | 0.917379i | \(0.630301\pi\) | |||||||
\(102\) | 5.22646i | 0.517497i | ||||||||
\(103\) | 11.2265i | 1.10618i | 0.833123 | + | 0.553088i | \(0.186551\pi\) | ||||
−0.833123 | + | 0.553088i | \(0.813449\pi\) | |||||||
\(104\) | 3.17103 | 0.310945 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.11560 | −0.788257 | ||||||||
\(107\) | − | 1.39749i | − | 0.135100i | −0.997716 | − | 0.0675502i | \(-0.978482\pi\) | ||
0.997716 | − | 0.0675502i | \(-0.0215183\pi\) | |||||||
\(108\) | − | 1.00000i | − | 0.0962250i | ||||||
\(109\) | −12.4529 | −1.19277 | −0.596387 | − | 0.802697i | \(-0.703397\pi\) | ||||
−0.596387 | + | 0.802697i | \(0.703397\pi\) | |||||||
\(110\) | −9.97764 | + | 3.85906i | −0.951331 | + | 0.367946i | ||||
\(111\) | 7.17103 | 0.680644 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 6.34206i | − | 0.596611i | −0.954470 | − | 0.298305i | \(-0.903579\pi\) | ||
0.954470 | − | 0.298305i | \(-0.0964214\pi\) | |||||||
\(114\) | 3.17103 | 0.296994 | ||||||||
\(115\) | −14.9553 | + | 5.78426i | −1.39459 | + | 0.539385i | ||||
\(116\) | 2.38677 | 0.221606 | ||||||||
\(117\) | − | 3.17103i | − | 0.293162i | ||||||
\(118\) | 10.7288i | 0.987669i | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0.806615 | + | 2.08551i | 0.0736335 | + | 0.190381i | ||||
\(121\) | 11.8891 | 1.08083 | ||||||||
\(122\) | 7.11560i | 0.644216i | ||||||||
\(123\) | 2.05543i | 0.185332i | ||||||||
\(124\) | −4.17103 | −0.374570 | ||||||||
\(125\) | 10.0000 | + | 5.00000i | 0.894427 | + | 0.447214i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 18.0107i | 1.59819i | 0.601203 | + | 0.799096i | \(0.294688\pi\) | ||||
−0.601203 | + | 0.799096i | \(0.705312\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 2.00000 | 0.176090 | ||||||||
\(130\) | 2.55780 | + | 6.61323i | 0.224334 | + | 0.580019i | ||||
\(131\) | −5.55780 | −0.485587 | −0.242794 | − | 0.970078i | \(-0.578064\pi\) | ||||
−0.242794 | + | 0.970078i | \(0.578064\pi\) | |||||||
\(132\) | − | 4.78426i | − | 0.416416i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −9.56852 | −0.826594 | ||||||||
\(135\) | 2.08551 | − | 0.806615i | 0.179493 | − | 0.0694224i | ||||
\(136\) | 5.22646 | 0.448165 | ||||||||
\(137\) | − | 14.7950i | − | 1.26402i | −0.774960 | − | 0.632010i | \(-0.782230\pi\) | ||
0.774960 | − | 0.632010i | \(-0.217770\pi\) | |||||||
\(138\) | − | 7.17103i | − | 0.610439i | ||||||
\(139\) | −3.65794 | −0.310262 | −0.155131 | − | 0.987894i | \(-0.549580\pi\) | ||||
−0.155131 | + | 0.987894i | \(0.549580\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.5131 | 0.969577 | ||||||||
\(142\) | 6.00000i | 0.503509i | ||||||||
\(143\) | − | 15.1710i | − | 1.26867i | ||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 1.92520 | + | 4.97764i | 0.159880 | + | 0.413371i | ||||
\(146\) | 4.00000 | 0.331042 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | − | 7.17103i | − | 0.589455i | ||||||
\(149\) | −22.3421 | −1.83033 | −0.915166 | − | 0.403076i | \(-0.867941\pi\) | ||||
−0.915166 | + | 0.403076i | \(0.867941\pi\) | |||||||
\(150\) | −3.69874 | + | 3.36441i | −0.302001 | + | 0.274703i | ||||
\(151\) | 16.5131 | 1.34382 | 0.671908 | − | 0.740635i | \(-0.265475\pi\) | ||||
0.671908 | + | 0.740635i | \(0.265475\pi\) | |||||||
\(152\) | − | 3.17103i | − | 0.257204i | ||||||
\(153\) | − | 5.22646i | − | 0.422534i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.36441 | − | 8.69874i | −0.270236 | − | 0.698700i | ||||
\(156\) | −3.17103 | −0.253886 | ||||||||
\(157\) | 9.94457i | 0.793663i | 0.917891 | + | 0.396832i | \(0.129890\pi\) | ||||
−0.917891 | + | 0.396832i | \(0.870110\pi\) | |||||||
\(158\) | − | 12.1710i | − | 0.968275i | ||||||
\(159\) | 8.11560 | 0.643609 | ||||||||
\(160\) | 2.08551 | − | 0.806615i | 0.164874 | − | 0.0637685i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 1.00000i | 0.0785674i | ||||||||
\(163\) | − | 2.88440i | − | 0.225924i | −0.993599 | − | 0.112962i | \(-0.963966\pi\) | ||
0.993599 | − | 0.112962i | \(-0.0360338\pi\) | |||||||
\(164\) | 2.05543 | 0.160502 | ||||||||
\(165\) | 9.97764 | − | 3.85906i | 0.776759 | − | 0.300427i | ||||
\(166\) | −3.39749 | −0.263696 | ||||||||
\(167\) | 4.05543i | 0.313819i | 0.987613 | + | 0.156909i | \(0.0501530\pi\) | ||||
−0.987613 | + | 0.156909i | \(0.949847\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.94457 | 0.226505 | ||||||||
\(170\) | 4.21574 | + | 10.8999i | 0.323333 | + | 0.835981i | ||||
\(171\) | −3.17103 | −0.242495 | ||||||||
\(172\) | − | 2.00000i | − | 0.152499i | ||||||
\(173\) | − | 6.39749i | − | 0.486392i | −0.969977 | − | 0.243196i | \(-0.921804\pi\) | ||
0.969977 | − | 0.243196i | \(-0.0781958\pi\) | |||||||
\(174\) | −2.38677 | −0.180941 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.78426 | −0.360627 | ||||||||
\(177\) | − | 10.7288i | − | 0.806428i | ||||||
\(178\) | − | 9.56852i | − | 0.717191i | ||||||
\(179\) | −19.5131 | −1.45848 | −0.729238 | − | 0.684260i | \(-0.760125\pi\) | ||||
−0.729238 | + | 0.684260i | \(0.760125\pi\) | |||||||
\(180\) | −0.806615 | − | 2.08551i | −0.0601215 | − | 0.155445i | ||||
\(181\) | −23.0262 | −1.71152 | −0.855761 | − | 0.517371i | \(-0.826911\pi\) | ||||
−0.855761 | + | 0.517371i | \(0.826911\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 7.11560i | − | 0.526000i | ||||||
\(184\) | −7.17103 | −0.528655 | ||||||||
\(185\) | 14.9553 | − | 5.78426i | 1.09953 | − | 0.425267i | ||||
\(186\) | 4.17103 | 0.305835 | ||||||||
\(187\) | − | 25.0047i | − | 1.82853i | ||||||
\(188\) | − | 11.5131i | − | 0.839678i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.61323 | − | 2.55780i | 0.479774 | − | 0.185562i | ||||
\(191\) | −10.2312 | −0.740304 | −0.370152 | − | 0.928971i | \(-0.620694\pi\) | ||||
−0.370152 | + | 0.928971i | \(0.620694\pi\) | |||||||
\(192\) | 1.00000i | 0.0721688i | ||||||||
\(193\) | 11.6132i | 0.835939i | 0.908461 | + | 0.417969i | \(0.137258\pi\) | ||||
−0.908461 | + | 0.417969i | \(0.862742\pi\) | |||||||
\(194\) | 1.27117 | 0.0912647 | ||||||||
\(195\) | −2.55780 | − | 6.61323i | −0.183168 | − | 0.473583i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 2.39749i | − | 0.170814i | −0.996346 | − | 0.0854070i | \(-0.972781\pi\) | ||
0.996346 | − | 0.0854070i | \(-0.0272191\pi\) | |||||||
\(198\) | 4.78426i | 0.340003i | ||||||||
\(199\) | 18.3421 | 1.30023 | 0.650117 | − | 0.759834i | \(-0.274720\pi\) | ||||
0.650117 | + | 0.759834i | \(0.274720\pi\) | |||||||
\(200\) | 3.36441 | + | 3.69874i | 0.237900 | + | 0.261541i | ||||
\(201\) | 9.56852 | 0.674911 | ||||||||
\(202\) | − | 8.00000i | − | 0.562878i | ||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −5.22646 | −0.365925 | ||||||||
\(205\) | 1.65794 | + | 4.28663i | 0.115796 | + | 0.299391i | ||||
\(206\) | −11.2265 | −0.782185 | ||||||||
\(207\) | 7.17103i | 0.498421i | ||||||||
\(208\) | 3.17103i | 0.219871i | ||||||||
\(209\) | −15.1710 | −1.04940 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.82897 | −0.194754 | −0.0973772 | − | 0.995248i | \(-0.531045\pi\) | ||||
−0.0973772 | + | 0.995248i | \(0.531045\pi\) | |||||||
\(212\) | − | 8.11560i | − | 0.557382i | ||||||
\(213\) | − | 6.00000i | − | 0.411113i | ||||||
\(214\) | 1.39749 | 0.0955304 | ||||||||
\(215\) | 4.17103 | − | 1.61323i | 0.284462 | − | 0.110021i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 12.4529i | − | 0.843418i | ||||||
\(219\) | −4.00000 | −0.270295 | ||||||||
\(220\) | −3.85906 | − | 9.97764i | −0.260177 | − | 0.672693i | ||||
\(221\) | −16.5733 | −1.11484 | ||||||||
\(222\) | 7.17103i | 0.481288i | ||||||||
\(223\) | − | 14.2973i | − | 0.957421i | −0.877973 | − | 0.478711i | \(-0.841104\pi\) | ||
0.877973 | − | 0.478711i | \(-0.158896\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.69874 | − | 3.36441i | 0.246583 | − | 0.224294i | ||||
\(226\) | 6.34206 | 0.421868 | ||||||||
\(227\) | 11.0554i | 0.733775i | 0.930265 | + | 0.366887i | \(0.119577\pi\) | ||||
−0.930265 | + | 0.366887i | \(0.880423\pi\) | |||||||
\(228\) | 3.17103i | 0.210007i | ||||||||
\(229\) | 18.4529 | 1.21940 | 0.609702 | − | 0.792631i | \(-0.291289\pi\) | ||||
0.609702 | + | 0.792631i | \(0.291289\pi\) | |||||||
\(230\) | −5.78426 | − | 14.9553i | −0.381403 | − | 0.986123i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.38677i | 0.156699i | ||||||||
\(233\) | 9.11560i | 0.597183i | 0.954381 | + | 0.298591i | \(0.0965168\pi\) | ||||
−0.954381 | + | 0.298591i | \(0.903483\pi\) | |||||||
\(234\) | 3.17103 | 0.207297 | ||||||||
\(235\) | 24.0107 | − | 9.28663i | 1.56629 | − | 0.605793i | ||||
\(236\) | −10.7288 | −0.698387 | ||||||||
\(237\) | 12.1710i | 0.790593i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −13.1156 | −0.848378 | −0.424189 | − | 0.905574i | \(-0.639441\pi\) | ||||
−0.424189 | + | 0.905574i | \(0.639441\pi\) | |||||||
\(240\) | −2.08551 | + | 0.806615i | −0.134619 | + | 0.0520668i | ||||
\(241\) | −5.34206 | −0.344112 | −0.172056 | − | 0.985087i | \(-0.555041\pi\) | ||||
−0.172056 | + | 0.985087i | \(0.555041\pi\) | |||||||
\(242\) | 11.8891i | 0.764263i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | −7.11560 | −0.455530 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.05543 | −0.131049 | ||||||||
\(247\) | 10.0554i | 0.639812i | ||||||||
\(248\) | − | 4.17103i | − | 0.264861i | ||||||
\(249\) | 3.39749 | 0.215307 | ||||||||
\(250\) | −5.00000 | + | 10.0000i | −0.316228 | + | 0.632456i | ||||
\(251\) | 27.9213 | 1.76238 | 0.881188 | − | 0.472765i | \(-0.156744\pi\) | ||||
0.881188 | + | 0.472765i | \(0.156744\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 34.3081i | 2.15693i | ||||||||
\(254\) | −18.0107 | −1.13009 | ||||||||
\(255\) | −4.21574 | − | 10.8999i | −0.264000 | − | 0.682576i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | − | 21.1370i | − | 1.31849i | −0.751927 | − | 0.659246i | \(-0.770876\pi\) | ||
0.751927 | − | 0.659246i | \(-0.229124\pi\) | |||||||
\(258\) | 2.00000i | 0.124515i | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −6.61323 | + | 2.55780i | −0.410135 | + | 0.158628i | ||||
\(261\) | 2.38677 | 0.147737 | ||||||||
\(262\) | − | 5.55780i | − | 0.343362i | ||||||
\(263\) | − | 11.9106i | − | 0.734438i | −0.930135 | − | 0.367219i | \(-0.880310\pi\) | ||
0.930135 | − | 0.367219i | \(-0.119690\pi\) | |||||||
\(264\) | 4.78426 | 0.294451 | ||||||||
\(265\) | 16.9252 | − | 6.54616i | 1.03971 | − | 0.402128i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 9.56852i | 0.585584i | ||||||||
\(268\) | − | 9.56852i | − | 0.584490i | ||||||
\(269\) | 3.27117 | 0.199447 | 0.0997234 | − | 0.995015i | \(-0.468204\pi\) | ||||
0.0997234 | + | 0.995015i | \(0.468204\pi\) | |||||||
\(270\) | 0.806615 | + | 2.08551i | 0.0490890 | + | 0.126920i | ||||
\(271\) | 0.623949 | 0.0379022 | 0.0189511 | − | 0.999820i | \(-0.493967\pi\) | ||||
0.0189511 | + | 0.999820i | \(0.493967\pi\) | |||||||
\(272\) | 5.22646i | 0.316901i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.7950 | 0.893797 | ||||||||
\(275\) | 17.6958 | − | 16.0962i | 1.06709 | − | 0.970639i | ||||
\(276\) | 7.17103 | 0.431645 | ||||||||
\(277\) | − | 28.7950i | − | 1.73012i | −0.501666 | − | 0.865061i | \(-0.667279\pi\) | ||
0.501666 | − | 0.865061i | \(-0.332721\pi\) | |||||||
\(278\) | − | 3.65794i | − | 0.219389i | ||||||
\(279\) | −4.17103 | −0.249713 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.82897 | 0.168762 | 0.0843811 | − | 0.996434i | \(-0.473109\pi\) | ||||
0.0843811 | + | 0.996434i | \(0.473109\pi\) | |||||||
\(282\) | 11.5131i | 0.685594i | ||||||||
\(283\) | 25.1370i | 1.49424i | 0.664688 | + | 0.747121i | \(0.268564\pi\) | ||||
−0.664688 | + | 0.747121i | \(0.731436\pi\) | |||||||
\(284\) | −6.00000 | −0.356034 | ||||||||
\(285\) | −6.61323 | + | 2.55780i | −0.391734 | + | 0.151511i | ||||
\(286\) | 15.1710 | 0.897082 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | − | 1.00000i | − | 0.0589256i | ||||||
\(289\) | −10.3159 | −0.606817 | ||||||||
\(290\) | −4.97764 | + | 1.92520i | −0.292297 | + | 0.113052i | ||||
\(291\) | −1.27117 | −0.0745173 | ||||||||
\(292\) | 4.00000i | 0.234082i | ||||||||
\(293\) | − | 10.2265i | − | 0.597436i | −0.954341 | − | 0.298718i | \(-0.903441\pi\) | ||
0.954341 | − | 0.298718i | \(-0.0965590\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.65403 | − | 22.3751i | −0.503857 | − | 1.30273i | ||||
\(296\) | 7.17103 | 0.416808 | ||||||||
\(297\) | − | 4.78426i | − | 0.277611i | ||||||
\(298\) | − | 22.3421i | − | 1.29424i | ||||||
\(299\) | 22.7395 | 1.31506 | ||||||||
\(300\) | −3.36441 | − | 3.69874i | −0.194245 | − | 0.213547i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 16.5131i | 0.950222i | ||||||||
\(303\) | 8.00000i | 0.459588i | ||||||||
\(304\) | 3.17103 | 0.181871 | ||||||||
\(305\) | −5.73955 | − | 14.8397i | −0.328646 | − | 0.849718i | ||||
\(306\) | 5.22646 | 0.298777 | ||||||||
\(307\) | − | 23.4577i | − | 1.33880i | −0.742902 | − | 0.669400i | \(-0.766551\pi\) | ||
0.742902 | − | 0.669400i | \(-0.233449\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 11.2265 | 0.638651 | ||||||||
\(310\) | 8.69874 | − | 3.36441i | 0.494056 | − | 0.191086i | ||||
\(311\) | −5.65794 | −0.320832 | −0.160416 | − | 0.987049i | \(-0.551284\pi\) | ||||
−0.160416 | + | 0.987049i | \(0.551284\pi\) | |||||||
\(312\) | − | 3.17103i | − | 0.179524i | ||||||
\(313\) | 16.3868i | 0.926235i | 0.886297 | + | 0.463118i | \(0.153269\pi\) | ||||
−0.886297 | + | 0.463118i | \(0.846731\pi\) | |||||||
\(314\) | −9.94457 | −0.561205 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.1710 | 0.684674 | ||||||||
\(317\) | 4.51309i | 0.253480i | 0.991936 | + | 0.126740i | \(0.0404514\pi\) | ||||
−0.991936 | + | 0.126740i | \(0.959549\pi\) | |||||||
\(318\) | 8.11560i | 0.455100i | ||||||||
\(319\) | 11.4189 | 0.639337 | ||||||||
\(320\) | 0.806615 | + | 2.08551i | 0.0450911 | + | 0.116584i | ||||
\(321\) | −1.39749 | −0.0780003 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 16.5733i | 0.922161i | ||||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −10.6687 | − | 11.7288i | −0.591791 | − | 0.650598i | ||||
\(326\) | 2.88440 | 0.159752 | ||||||||
\(327\) | 12.4529i | 0.688648i | ||||||||
\(328\) | 2.05543i | 0.113492i | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.85906 | + | 9.97764i | 0.212434 | + | 0.549251i | ||||
\(331\) | −13.0816 | −0.719030 | −0.359515 | − | 0.933139i | \(-0.617058\pi\) | ||||
−0.359515 | + | 0.933139i | \(0.617058\pi\) | |||||||
\(332\) | − | 3.39749i | − | 0.186461i | ||||||
\(333\) | − | 7.17103i | − | 0.392970i | ||||||
\(334\) | −4.05543 | −0.221903 | ||||||||
\(335\) | 19.9553 | − | 7.71811i | 1.09027 | − | 0.421685i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.2973i | 1.10567i | 0.833292 | + | 0.552834i | \(0.186453\pi\) | ||||
−0.833292 | + | 0.552834i | \(0.813547\pi\) | |||||||
\(338\) | 2.94457i | 0.160163i | ||||||||
\(339\) | −6.34206 | −0.344453 | ||||||||
\(340\) | −10.8999 | + | 4.21574i | −0.591128 | + | 0.228631i | ||||
\(341\) | −19.9553 | −1.08064 | ||||||||
\(342\) | − | 3.17103i | − | 0.171470i | ||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.00000 | 0.107833 | ||||||||
\(345\) | 5.78426 | + | 14.9553i | 0.311414 | + | 0.805166i | ||||
\(346\) | 6.39749 | 0.343931 | ||||||||
\(347\) | 14.4529i | 0.775873i | 0.921686 | + | 0.387937i | \(0.126812\pi\) | ||||
−0.921686 | + | 0.387937i | \(0.873188\pi\) | |||||||
\(348\) | − | 2.38677i | − | 0.127944i | ||||||
\(349\) | −13.8891 | −0.743469 | −0.371734 | − | 0.928339i | \(-0.621237\pi\) | ||||
−0.371734 | + | 0.928339i | \(0.621237\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.17103 | −0.169257 | ||||||||
\(352\) | − | 4.78426i | − | 0.255002i | ||||||
\(353\) | 6.45292i | 0.343454i | 0.985145 | + | 0.171727i | \(0.0549347\pi\) | ||||
−0.985145 | + | 0.171727i | \(0.945065\pi\) | |||||||
\(354\) | 10.7288 | 0.570231 | ||||||||
\(355\) | −4.83969 | − | 12.5131i | −0.256864 | − | 0.664126i | ||||
\(356\) | 9.56852 | 0.507131 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 19.5131i | − | 1.03130i | ||||||
\(359\) | −7.22646 | −0.381398 | −0.190699 | − | 0.981649i | \(-0.561075\pi\) | ||||
−0.190699 | + | 0.981649i | \(0.561075\pi\) | |||||||
\(360\) | 2.08551 | − | 0.806615i | 0.109916 | − | 0.0425123i | ||||
\(361\) | −8.94457 | −0.470767 | ||||||||
\(362\) | − | 23.0262i | − | 1.21023i | ||||||
\(363\) | − | 11.8891i | − | 0.624018i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −8.34206 | + | 3.22646i | −0.436643 | + | 0.168881i | ||||
\(366\) | 7.11560 | 0.371938 | ||||||||
\(367\) | − | 2.10014i | − | 0.109626i | −0.998497 | − | 0.0548132i | \(-0.982544\pi\) | ||
0.998497 | − | 0.0548132i | \(-0.0174563\pi\) | |||||||
\(368\) | − | 7.17103i | − | 0.373816i | ||||||
\(369\) | 2.05543 | 0.107001 | ||||||||
\(370\) | 5.78426 | + | 14.9553i | 0.300709 | + | 0.777488i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 4.17103i | 0.216258i | ||||||||
\(373\) | 23.2479i | 1.20373i | 0.798598 | + | 0.601865i | \(0.205576\pi\) | ||||
−0.798598 | + | 0.601865i | \(0.794424\pi\) | |||||||
\(374\) | 25.0047 | 1.29296 | ||||||||
\(375\) | 5.00000 | − | 10.0000i | 0.258199 | − | 0.516398i | ||||
\(376\) | 11.5131 | 0.593742 | ||||||||
\(377\) | − | 7.56852i | − | 0.389799i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.16629 | −0.111275 | −0.0556374 | − | 0.998451i | \(-0.517719\pi\) | ||||
−0.0556374 | + | 0.998451i | \(0.517719\pi\) | |||||||
\(380\) | 2.55780 | + | 6.61323i | 0.131212 | + | 0.339252i | ||||
\(381\) | 18.0107 | 0.922717 | ||||||||
\(382\) | − | 10.2312i | − | 0.523474i | ||||||
\(383\) | 8.05543i | 0.411613i | 0.978593 | + | 0.205807i | \(0.0659818\pi\) | ||||
−0.978593 | + | 0.205807i | \(0.934018\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −11.6132 | −0.591098 | ||||||||
\(387\) | − | 2.00000i | − | 0.101666i | ||||||
\(388\) | 1.27117i | 0.0645339i | ||||||||
\(389\) | −11.8891 | −0.602803 | −0.301402 | − | 0.953497i | \(-0.597455\pi\) | ||||
−0.301402 | + | 0.953497i | \(0.597455\pi\) | |||||||
\(390\) | 6.61323 | − | 2.55780i | 0.334874 | − | 0.129519i | ||||
\(391\) | 37.4791 | 1.89540 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.55780i | 0.280354i | ||||||||
\(394\) | 2.39749 | 0.120784 | ||||||||
\(395\) | 9.81733 | + | 25.3829i | 0.493964 | + | 1.27715i | ||||
\(396\) | −4.78426 | −0.240418 | ||||||||
\(397\) | − | 16.1109i | − | 0.808581i | −0.914631 | − | 0.404290i | \(-0.867519\pi\) | ||
0.914631 | − | 0.404290i | \(-0.132481\pi\) | |||||||
\(398\) | 18.3421i | 0.919404i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.69874 | + | 3.36441i | −0.184937 | + | 0.168221i | ||||
\(401\) | 24.9707 | 1.24698 | 0.623490 | − | 0.781831i | \(-0.285714\pi\) | ||||
0.623490 | + | 0.781831i | \(0.285714\pi\) | |||||||
\(402\) | 9.56852i | 0.477234i | ||||||||
\(403\) | 13.2265i | 0.658857i | ||||||||
\(404\) | 8.00000 | 0.398015 | ||||||||
\(405\) | −0.806615 | − | 2.08551i | −0.0400810 | − | 0.103630i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − | 34.3081i | − | 1.70059i | ||||||
\(408\) | − | 5.22646i | − | 0.258748i | ||||||
\(409\) | −3.05543 | −0.151081 | −0.0755406 | − | 0.997143i | \(-0.524068\pi\) | ||||
−0.0755406 | + | 0.997143i | \(0.524068\pi\) | |||||||
\(410\) | −4.28663 | + | 1.65794i | −0.211702 | + | 0.0818798i | ||||
\(411\) | −14.7950 | −0.729782 | ||||||||
\(412\) | − | 11.2265i | − | 0.553088i | ||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −7.17103 | −0.352437 | ||||||||
\(415\) | 7.08551 | − | 2.74047i | 0.347814 | − | 0.134524i | ||||
\(416\) | −3.17103 | −0.155473 | ||||||||
\(417\) | 3.65794i | 0.179130i | ||||||||
\(418\) | − | 15.1710i | − | 0.742039i | ||||||
\(419\) | 20.1972 | 0.986698 | 0.493349 | − | 0.869831i | \(-0.335773\pi\) | ||||
0.493349 | + | 0.869831i | \(0.335773\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −30.3635 | −1.47983 | −0.739913 | − | 0.672702i | \(-0.765133\pi\) | ||||
−0.739913 | + | 0.672702i | \(0.765133\pi\) | |||||||
\(422\) | − | 2.82897i | − | 0.137712i | ||||||
\(423\) | − | 11.5131i | − | 0.559786i | ||||||
\(424\) | 8.11560 | 0.394128 | ||||||||
\(425\) | −17.5840 | − | 19.3313i | −0.852948 | − | 0.937708i | ||||
\(426\) | 6.00000 | 0.290701 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.39749i | 0.0675502i | ||||||||
\(429\) | −15.1710 | −0.732464 | ||||||||
\(430\) | 1.61323 | + | 4.17103i | 0.0777969 | + | 0.201145i | ||||
\(431\) | 24.5733 | 1.18365 | 0.591826 | − | 0.806066i | \(-0.298407\pi\) | ||||
0.591826 | + | 0.806066i | \(0.298407\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | − | 4.68412i | − | 0.225104i | −0.993646 | − | 0.112552i | \(-0.964097\pi\) | ||
0.993646 | − | 0.112552i | \(-0.0359026\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.97764 | − | 1.92520i | 0.238660 | − | 0.0923065i | ||||
\(436\) | 12.4529 | 0.596387 | ||||||||
\(437\) | − | 22.7395i | − | 1.08778i | ||||||
\(438\) | − | 4.00000i | − | 0.191127i | ||||||
\(439\) | 30.5131 | 1.45631 | 0.728155 | − | 0.685412i | \(-0.240378\pi\) | ||||
0.728155 | + | 0.685412i | \(0.240378\pi\) | |||||||
\(440\) | 9.97764 | − | 3.85906i | 0.475666 | − | 0.183973i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | − | 16.5733i | − | 0.788310i | ||||||
\(443\) | 9.50835i | 0.451755i | 0.974156 | + | 0.225878i | \(0.0725250\pi\) | ||||
−0.974156 | + | 0.225878i | \(0.927475\pi\) | |||||||
\(444\) | −7.17103 | −0.340322 | ||||||||
\(445\) | 7.71811 | + | 19.9553i | 0.365874 | + | 0.945971i | ||||
\(446\) | 14.2973 | 0.676999 | ||||||||
\(447\) | 22.3421i | 1.05674i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −17.6239 | −0.831726 | −0.415863 | − | 0.909427i | \(-0.636520\pi\) | ||||
−0.415863 | + | 0.909427i | \(0.636520\pi\) | |||||||
\(450\) | 3.36441 | + | 3.69874i | 0.158600 | + | 0.174360i | ||||
\(451\) | 9.83371 | 0.463051 | ||||||||
\(452\) | 6.34206i | 0.298305i | ||||||||
\(453\) | − | 16.5131i | − | 0.775853i | ||||||
\(454\) | −11.0554 | −0.518857 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −3.17103 | −0.148497 | ||||||||
\(457\) | 0.386770i | 0.0180923i | 0.999959 | + | 0.00904617i | \(0.00287953\pi\) | ||||
−0.999959 | + | 0.00904617i | \(0.997120\pi\) | |||||||
\(458\) | 18.4529i | 0.862248i | ||||||||
\(459\) | −5.22646 | −0.243950 | ||||||||
\(460\) | 14.9553 | − | 5.78426i | 0.697294 | − | 0.269692i | ||||
\(461\) | −37.3682 | −1.74041 | −0.870206 | − | 0.492688i | \(-0.836014\pi\) | ||||
−0.870206 | + | 0.492688i | \(0.836014\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 24.3081i | − | 1.12969i | −0.825196 | − | 0.564846i | \(-0.808936\pi\) | ||
0.825196 | − | 0.564846i | \(-0.191064\pi\) | |||||||
\(464\) | −2.38677 | −0.110803 | ||||||||
\(465\) | −8.69874 | + | 3.36441i | −0.403395 | + | 0.156021i | ||||
\(466\) | −9.11560 | −0.422272 | ||||||||
\(467\) | 28.5733i | 1.32221i | 0.750292 | + | 0.661106i | \(0.229913\pi\) | ||||
−0.750292 | + | 0.661106i | \(0.770087\pi\) | |||||||
\(468\) | 3.17103i | 0.146581i | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 9.28663 | + | 24.0107i | 0.428360 | + | 1.10753i | ||||
\(471\) | 9.94457 | 0.458222 | ||||||||
\(472\) | − | 10.7288i | − | 0.493834i | ||||||
\(473\) | − | 9.56852i | − | 0.439961i | ||||||
\(474\) | −12.1710 | −0.559034 | ||||||||
\(475\) | −11.7288 | + | 10.6687i | −0.538156 | + | 0.489512i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 8.11560i | − | 0.371588i | ||||||
\(478\) | − | 13.1156i | − | 0.599894i | ||||||
\(479\) | 8.56378 | 0.391289 | 0.195645 | − | 0.980675i | \(-0.437320\pi\) | ||||
0.195645 | + | 0.980675i | \(0.437320\pi\) | |||||||
\(480\) | −0.806615 | − | 2.08551i | −0.0368168 | − | 0.0951903i | ||||
\(481\) | −22.7395 | −1.03683 | ||||||||
\(482\) | − | 5.34206i | − | 0.243324i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.8891 | −0.540415 | ||||||||
\(485\) | −2.65104 | + | 1.02534i | −0.120378 | + | 0.0465585i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | − | 31.8444i | − | 1.44301i | −0.692410 | − | 0.721504i | \(-0.743451\pi\) | ||
0.692410 | − | 0.721504i | \(-0.256549\pi\) | |||||||
\(488\) | − | 7.11560i | − | 0.322108i | ||||||
\(489\) | −2.88440 | −0.130437 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.49763 | 0.202975 | 0.101488 | − | 0.994837i | \(-0.467640\pi\) | ||||
0.101488 | + | 0.994837i | \(0.467640\pi\) | |||||||
\(492\) | − | 2.05543i | − | 0.0926659i | ||||||
\(493\) | − | 12.4744i | − | 0.561817i | ||||||
\(494\) | −10.0554 | −0.452415 | ||||||||
\(495\) | −3.85906 | − | 9.97764i | −0.173452 | − | 0.448462i | ||||
\(496\) | 4.17103 | 0.187285 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 3.39749i | 0.152245i | ||||||||
\(499\) | 0.342060 | 0.0153127 | 0.00765634 | − | 0.999971i | \(-0.497563\pi\) | ||||
0.00765634 | + | 0.999971i | \(0.497563\pi\) | |||||||
\(500\) | −10.0000 | − | 5.00000i | −0.447214 | − | 0.223607i | ||||
\(501\) | 4.05543 | 0.181183 | ||||||||
\(502\) | 27.9213i | 1.24619i | ||||||||
\(503\) | 7.56852i | 0.337464i | 0.985662 | + | 0.168732i | \(0.0539672\pi\) | ||||
−0.985662 | + | 0.168732i | \(0.946033\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.45292 | + | 16.6841i | 0.287151 | + | 0.742434i | ||||
\(506\) | −34.3081 | −1.52518 | ||||||||
\(507\) | − | 2.94457i | − | 0.130773i | ||||||
\(508\) | − | 18.0107i | − | 0.799096i | ||||||
\(509\) | −30.9600 | −1.37228 | −0.686140 | − | 0.727470i | \(-0.740696\pi\) | ||||
−0.686140 | + | 0.727470i | \(0.740696\pi\) | |||||||
\(510\) | 10.8999 | − | 4.21574i | 0.482654 | − | 0.186676i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 3.17103i | 0.140004i | ||||||||
\(514\) | 21.1370 | 0.932315 | ||||||||
\(515\) | 23.4129 | − | 9.05543i | 1.03170 | − | 0.399030i | ||||
\(516\) | −2.00000 | −0.0880451 | ||||||||
\(517\) | − | 55.0816i | − | 2.42249i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −6.39749 | −0.280819 | ||||||||
\(520\) | −2.55780 | − | 6.61323i | −0.112167 | − | 0.290009i | ||||
\(521\) | 4.85041 | 0.212500 | 0.106250 | − | 0.994339i | \(-0.466116\pi\) | ||||
0.106250 | + | 0.994339i | \(0.466116\pi\) | |||||||
\(522\) | 2.38677i | 0.104466i | ||||||||
\(523\) | − | 4.25264i | − | 0.185955i | −0.995668 | − | 0.0929774i | \(-0.970362\pi\) | ||
0.995668 | − | 0.0929774i | \(-0.0296384\pi\) | |||||||
\(524\) | 5.55780 | 0.242794 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 11.9106 | 0.519326 | ||||||||
\(527\) | 21.7997i | 0.949611i | ||||||||
\(528\) | 4.78426i | 0.208208i | ||||||||
\(529\) | −28.4237 | −1.23581 | ||||||||
\(530\) | 6.54616 | + | 16.9252i | 0.284347 | + | 0.735184i | ||||
\(531\) | −10.7288 | −0.465592 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 6.51783i | − | 0.282319i | ||||||
\(534\) | −9.56852 | −0.414070 | ||||||||
\(535\) | −2.91449 | + | 1.12724i | −0.126004 | + | 0.0487347i | ||||
\(536\) | 9.56852 | 0.413297 | ||||||||
\(537\) | 19.5131i | 0.842052i | ||||||||
\(538\) | 3.27117i | 0.141030i | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.08551 | + | 0.806615i | −0.0897463 | + | 0.0347112i | ||||
\(541\) | 38.3635 | 1.64938 | 0.824688 | − | 0.565588i | \(-0.191351\pi\) | ||||
0.824688 | + | 0.565588i | \(0.191351\pi\) | |||||||
\(542\) | 0.623949i | 0.0268009i | ||||||||
\(543\) | 23.0262i | 0.988148i | ||||||||
\(544\) | −5.22646 | −0.224083 | ||||||||
\(545\) | 10.0447 | + | 25.9707i | 0.430268 | + | 1.11246i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 1.44818i | − | 0.0619197i | −0.999521 | − | 0.0309598i | \(-0.990144\pi\) | ||
0.999521 | − | 0.0309598i | \(-0.00985640\pi\) | |||||||
\(548\) | 14.7950i | 0.632010i | ||||||||
\(549\) | −7.11560 | −0.303686 | ||||||||
\(550\) | 16.0962 | + | 17.6958i | 0.686346 | + | 0.754550i | ||||
\(551\) | −7.56852 | −0.322430 | ||||||||
\(552\) | 7.17103i | 0.305219i | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 28.7950 | 1.22338 | ||||||||
\(555\) | −5.78426 | − | 14.9553i | −0.245528 | − | 0.634817i | ||||
\(556\) | 3.65794 | 0.155131 | ||||||||
\(557\) | 13.0214i | 0.551736i | 0.961196 | + | 0.275868i | \(0.0889653\pi\) | ||||
−0.961196 | + | 0.275868i | \(0.911035\pi\) | |||||||
\(558\) | − | 4.17103i | − | 0.176574i | ||||||
\(559\) | −6.34206 | −0.268241 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −25.0047 | −1.05570 | ||||||||
\(562\) | 2.82897i | 0.119333i | ||||||||
\(563\) | − | 5.85041i | − | 0.246565i | −0.992372 | − | 0.123283i | \(-0.960658\pi\) | ||
0.992372 | − | 0.123283i | \(-0.0393422\pi\) | |||||||
\(564\) | −11.5131 | −0.484789 | ||||||||
\(565\) | −13.2265 | + | 5.11560i | −0.556441 | + | 0.215215i | ||||
\(566\) | −25.1370 | −1.05659 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 6.00000i | − | 0.251754i | ||||||
\(569\) | 40.6501 | 1.70414 | 0.852071 | − | 0.523426i | \(-0.175346\pi\) | ||||
0.852071 | + | 0.523426i | \(0.175346\pi\) | |||||||
\(570\) | −2.55780 | − | 6.61323i | −0.107134 | − | 0.276998i | ||||
\(571\) | −3.22646 | −0.135023 | −0.0675116 | − | 0.997718i | \(-0.521506\pi\) | ||||
−0.0675116 | + | 0.997718i | \(0.521506\pi\) | |||||||
\(572\) | 15.1710i | 0.634333i | ||||||||
\(573\) | 10.2312i | 0.427415i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 24.1263 | + | 26.5238i | 1.00614 | + | 1.10612i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | 11.6347i | 0.484358i | 0.970232 | + | 0.242179i | \(0.0778621\pi\) | ||||
−0.970232 | + | 0.242179i | \(0.922138\pi\) | |||||||
\(578\) | − | 10.3159i | − | 0.429084i | ||||||
\(579\) | 11.6132 | 0.482629 | ||||||||
\(580\) | −1.92520 | − | 4.97764i | −0.0799398 | − | 0.206685i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | − | 1.27117i | − | 0.0526917i | ||||||
\(583\) | − | 38.8271i | − | 1.60806i | ||||||
\(584\) | −4.00000 | −0.165521 | ||||||||
\(585\) | −6.61323 | + | 2.55780i | −0.273423 | + | 0.105752i | ||||
\(586\) | 10.2265 | 0.422451 | ||||||||
\(587\) | 28.9446i | 1.19467i | 0.801992 | + | 0.597335i | \(0.203774\pi\) | ||||
−0.801992 | + | 0.597335i | \(0.796226\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.2265 | 0.544987 | ||||||||
\(590\) | 22.3751 | − | 8.65403i | 0.921170 | − | 0.356281i | ||||
\(591\) | −2.39749 | −0.0986195 | ||||||||
\(592\) | 7.17103i | 0.294728i | ||||||||
\(593\) | 11.4577i | 0.470510i | 0.971934 | + | 0.235255i | \(0.0755925\pi\) | ||||
−0.971934 | + | 0.235255i | \(0.924408\pi\) | |||||||
\(594\) | 4.78426 | 0.196301 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 22.3421 | 0.915166 | ||||||||
\(597\) | − | 18.3421i | − | 0.750691i | ||||||
\(598\) | 22.7395i | 0.929889i | ||||||||
\(599\) | 3.00474 | 0.122770 | 0.0613852 | − | 0.998114i | \(-0.480448\pi\) | ||||
0.0613852 | + | 0.998114i | \(0.480448\pi\) | |||||||
\(600\) | 3.69874 | − | 3.36441i | 0.151001 | − | 0.137352i | ||||
\(601\) | 40.0816 | 1.63496 | 0.817481 | − | 0.575955i | \(-0.195370\pi\) | ||||
0.817481 | + | 0.575955i | \(0.195370\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 9.56852i | − | 0.389660i | ||||||
\(604\) | −16.5131 | −0.671908 | ||||||||
\(605\) | −9.58996 | − | 24.7950i | −0.389887 | − | 1.00806i | ||||
\(606\) | −8.00000 | −0.324978 | ||||||||
\(607\) | − | 26.1216i | − | 1.06024i | −0.847922 | − | 0.530121i | \(-0.822146\pi\) | ||
0.847922 | − | 0.530121i | \(-0.177854\pi\) | |||||||
\(608\) | 3.17103i | 0.128602i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 14.8397 | − | 5.73955i | 0.600841 | − | 0.232388i | ||||
\(611\) | −36.5083 | −1.47697 | ||||||||
\(612\) | 5.22646i | 0.211267i | ||||||||
\(613\) | 41.5131i | 1.67670i | 0.545134 | + | 0.838349i | \(0.316479\pi\) | ||||
−0.545134 | + | 0.838349i | \(0.683521\pi\) | |||||||
\(614\) | 23.4577 | 0.946674 | ||||||||
\(615\) | 4.28663 | − | 1.65794i | 0.172854 | − | 0.0668546i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 31.1156i | − | 1.25267i | −0.779555 | − | 0.626333i | \(-0.784555\pi\) | ||
0.779555 | − | 0.626333i | \(-0.215445\pi\) | |||||||
\(618\) | 11.2265i | 0.451594i | ||||||||
\(619\) | −32.9922 | −1.32607 | −0.663034 | − | 0.748589i | \(-0.730732\pi\) | ||||
−0.663034 | + | 0.748589i | \(0.730732\pi\) | |||||||
\(620\) | 3.36441 | + | 8.69874i | 0.135118 | + | 0.349350i | ||||
\(621\) | 7.17103 | 0.287764 | ||||||||
\(622\) | − | 5.65794i | − | 0.226863i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 3.17103 | 0.126943 | ||||||||
\(625\) | 2.36143 | − | 24.8882i | 0.0944570 | − | 0.995529i | ||||
\(626\) | −16.3868 | −0.654947 | ||||||||
\(627\) | 15.1710i | 0.605873i | ||||||||
\(628\) | − | 9.94457i | − | 0.396832i | ||||||
\(629\) | −37.4791 | −1.49439 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 47.6501 | 1.89692 | 0.948461 | − | 0.316894i | \(-0.102640\pi\) | ||||
0.948461 | + | 0.316894i | \(0.102640\pi\) | |||||||
\(632\) | 12.1710i | 0.484138i | ||||||||
\(633\) | 2.82897i | 0.112441i | ||||||||
\(634\) | −4.51309 | −0.179238 | ||||||||
\(635\) | 37.5616 | − | 14.5277i | 1.49059 | − | 0.576515i | ||||
\(636\) | −8.11560 | −0.321804 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 11.4189i | 0.452080i | ||||||||
\(639\) | −6.00000 | −0.237356 | ||||||||
\(640\) | −2.08551 | + | 0.806615i | −0.0824372 | + | 0.0318843i | ||||
\(641\) | 10.2866 | 0.406297 | 0.203149 | − | 0.979148i | \(-0.434883\pi\) | ||||
0.203149 | + | 0.979148i | \(0.434883\pi\) | |||||||
\(642\) | − | 1.39749i | − | 0.0551545i | ||||||
\(643\) | 38.9368i | 1.53552i | 0.640740 | + | 0.767758i | \(0.278628\pi\) | ||||
−0.640740 | + | 0.767758i | \(0.721372\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.61323 | − | 4.17103i | −0.0635209 | − | 0.164234i | ||||
\(646\) | −16.5733 | −0.652066 | ||||||||
\(647\) | − | 33.8551i | − | 1.33098i | −0.746405 | − | 0.665492i | \(-0.768222\pi\) | ||
0.746405 | − | 0.665492i | \(-0.231778\pi\) | |||||||
\(648\) | − | 1.00000i | − | 0.0392837i | ||||||
\(649\) | −51.3295 | −2.01486 | ||||||||
\(650\) | 11.7288 | − | 10.6687i | 0.460043 | − | 0.418459i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 2.88440i | 0.112962i | ||||||||
\(653\) | − | 5.36350i | − | 0.209890i | −0.994478 | − | 0.104945i | \(-0.966533\pi\) | ||
0.994478 | − | 0.104945i | \(-0.0334666\pi\) | |||||||
\(654\) | −12.4529 | −0.486948 | ||||||||
\(655\) | 4.48300 | + | 11.5909i | 0.175165 | + | 0.452893i | ||||
\(656\) | −2.05543 | −0.0802511 | ||||||||
\(657\) | 4.00000i | 0.156055i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −23.2265 | −0.904774 | −0.452387 | − | 0.891822i | \(-0.649427\pi\) | ||||
−0.452387 | + | 0.891822i | \(0.649427\pi\) | |||||||
\(660\) | −9.97764 | + | 3.85906i | −0.388379 | + | 0.150214i | ||||
\(661\) | −36.5947 | −1.42337 | −0.711684 | − | 0.702499i | \(-0.752067\pi\) | ||||
−0.711684 | + | 0.702499i | \(0.752067\pi\) | |||||||
\(662\) | − | 13.0816i | − | 0.508431i | ||||||
\(663\) | 16.5733i | 0.643652i | ||||||||
\(664\) | 3.39749 | 0.131848 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 7.17103 | 0.277872 | ||||||||
\(667\) | 17.1156i | 0.662719i | ||||||||
\(668\) | − | 4.05543i | − | 0.156909i | ||||||
\(669\) | −14.2973 | −0.552767 | ||||||||
\(670\) | 7.71811 | + | 19.9553i | 0.298177 | + | 0.770940i | ||||
\(671\) | −34.0429 | −1.31421 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 17.7336i | 0.683579i | 0.939777 | + | 0.341789i | \(0.111033\pi\) | ||||
−0.939777 | + | 0.341789i | \(0.888967\pi\) | |||||||
\(674\) | −20.2973 | −0.781825 | ||||||||
\(675\) | −3.36441 | − | 3.69874i | −0.129496 | − | 0.142365i | ||||
\(676\) | −2.94457 | −0.113253 | ||||||||
\(677\) | 26.2265i | 1.00796i | 0.863714 | + | 0.503982i | \(0.168132\pi\) | ||||
−0.863714 | + | 0.503982i | \(0.831868\pi\) | |||||||
\(678\) | − | 6.34206i | − | 0.243565i | ||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −4.21574 | − | 10.8999i | −0.161666 | − | 0.417991i | ||||
\(681\) | 11.0554 | 0.423645 | ||||||||
\(682\) | − | 19.9553i | − | 0.764128i | ||||||
\(683\) | 49.2186i | 1.88330i | 0.336595 | + | 0.941650i | \(0.390725\pi\) | ||||
−0.336595 | + | 0.941650i | \(0.609275\pi\) | |||||||
\(684\) | 3.17103 | 0.121247 | ||||||||
\(685\) | −30.8551 | + | 11.9339i | −1.17891 | + | 0.455969i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 18.4529i | − | 0.704023i | ||||||
\(688\) | 2.00000i | 0.0762493i | ||||||||
\(689\) | −25.7348 | −0.980418 | ||||||||
\(690\) | −14.9553 | + | 5.78426i | −0.569338 | + | 0.220203i | ||||
\(691\) | 8.90584 | 0.338794 | 0.169397 | − | 0.985548i | \(-0.445818\pi\) | ||||
0.169397 | + | 0.985548i | \(0.445818\pi\) | |||||||
\(692\) | 6.39749i | 0.243196i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.4529 | −0.548625 | ||||||||
\(695\) | 2.95055 | + | 7.62869i | 0.111921 | + | 0.289373i | ||||
\(696\) | 2.38677 | 0.0904703 | ||||||||
\(697\) | − | 10.7426i | − | 0.406906i | ||||||
\(698\) | − | 13.8891i | − | 0.525712i | ||||||
\(699\) | 9.11560 | 0.344784 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.9553 | 0.451545 | 0.225773 | − | 0.974180i | \(-0.427509\pi\) | ||||
0.225773 | + | 0.974180i | \(0.427509\pi\) | |||||||
\(702\) | − | 3.17103i | − | 0.119683i | ||||||
\(703\) | 22.7395i | 0.857638i | ||||||||
\(704\) | 4.78426 | 0.180314 | ||||||||
\(705\) | −9.28663 | − | 24.0107i | −0.349755 | − | 0.904296i | ||||
\(706\) | −6.45292 | −0.242859 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 10.7288i | 0.403214i | ||||||||
\(709\) | −52.1632 | −1.95903 | −0.979515 | − | 0.201369i | \(-0.935461\pi\) | ||||
−0.979515 | + | 0.201369i | \(0.935461\pi\) | |||||||
\(710\) | 12.5131 | − | 4.83969i | 0.469608 | − | 0.181630i | ||||
\(711\) | 12.1710 | 0.456449 | ||||||||
\(712\) | 9.56852i | 0.358595i | ||||||||
\(713\) | − | 29.9106i | − | 1.12016i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −31.6394 | + | 12.2372i | −1.18325 | + | 0.457645i | ||||
\(716\) | 19.5131 | 0.729238 | ||||||||
\(717\) | 13.1156i | 0.489811i | ||||||||
\(718\) | − | 7.22646i | − | 0.269689i | ||||||
\(719\) | −25.7902 | −0.961814 | −0.480907 | − | 0.876772i | \(-0.659692\pi\) | ||||
−0.480907 | + | 0.876772i | \(0.659692\pi\) | |||||||
\(720\) | 0.806615 | + | 2.08551i | 0.0300608 | + | 0.0777226i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 8.94457i | − | 0.332882i | ||||||
\(723\) | 5.34206i | 0.198673i | ||||||||
\(724\) | 23.0262 | 0.855761 | ||||||||
\(725\) | 8.82805 | − | 8.03008i | 0.327866 | − | 0.298230i | ||||
\(726\) | 11.8891 | 0.441247 | ||||||||
\(727\) | 34.6054i | 1.28344i | 0.766937 | + | 0.641722i | \(0.221780\pi\) | ||||
−0.766937 | + | 0.641722i | \(0.778220\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −3.22646 | − | 8.34206i | −0.119417 | − | 0.308753i | ||||
\(731\) | −10.4529 | −0.386615 | ||||||||
\(732\) | 7.11560i | 0.263000i | ||||||||
\(733\) | 30.9707i | 1.14393i | 0.820278 | + | 0.571965i | \(0.193819\pi\) | ||||
−0.820278 | + | 0.571965i | \(0.806181\pi\) | |||||||
\(734\) | 2.10014 | 0.0775176 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.17103 | 0.264328 | ||||||||
\(737\) | − | 45.7783i | − | 1.68626i | ||||||
\(738\) | 2.05543i | 0.0756614i | ||||||||
\(739\) | 2.17577 | 0.0800370 | 0.0400185 | − | 0.999199i | \(-0.487258\pi\) | ||||
0.0400185 | + | 0.999199i | \(0.487258\pi\) | |||||||
\(740\) | −14.9553 | + | 5.78426i | −0.549767 | + | 0.212634i | ||||
\(741\) | 10.0554 | 0.369395 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 31.9446i | 1.17193i | 0.810335 | + | 0.585966i | \(0.199285\pi\) | ||||
−0.810335 | + | 0.585966i | \(0.800715\pi\) | |||||||
\(744\) | −4.17103 | −0.152917 | ||||||||
\(745\) | 18.0214 | + | 46.5947i | 0.660254 | + | 1.70710i | ||||
\(746\) | −23.2479 | −0.851166 | ||||||||
\(747\) | − | 3.39749i | − | 0.124308i | ||||||
\(748\) | 25.0047i | 0.914264i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 10.0000 | + | 5.00000i | 0.365148 | + | 0.182574i | ||||
\(751\) | −5.60725 | −0.204611 | −0.102306 | − | 0.994753i | \(-0.532622\pi\) | ||||
−0.102306 | + | 0.994753i | \(0.532622\pi\) | |||||||
\(752\) | 11.5131i | 0.419839i | ||||||||
\(753\) | − | 27.9213i | − | 1.01751i | ||||||
\(754\) | 7.56852 | 0.275629 | ||||||||
\(755\) | −13.3197 | − | 34.4383i | −0.484754 | − | 1.25334i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 24.2312i | − | 0.880698i | −0.897827 | − | 0.440349i | \(-0.854855\pi\) | ||
0.897827 | − | 0.440349i | \(-0.145145\pi\) | |||||||
\(758\) | − | 2.16629i | − | 0.0786832i | ||||||
\(759\) | 34.3081 | 1.24530 | ||||||||
\(760\) | −6.61323 | + | 2.55780i | −0.239887 | + | 0.0927812i | ||||
\(761\) | 39.8551 | 1.44475 | 0.722374 | − | 0.691503i | \(-0.243051\pi\) | ||||
0.722374 | + | 0.691503i | \(0.243051\pi\) | |||||||
\(762\) | 18.0107i | 0.652460i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 10.2312 | 0.370152 | ||||||||
\(765\) | −10.8999 | + | 4.21574i | −0.394085 | + | 0.152420i | ||||
\(766\) | −8.05543 | −0.291055 | ||||||||
\(767\) | 34.0214i | 1.22844i | ||||||||
\(768\) | − | 1.00000i | − | 0.0360844i | ||||||
\(769\) | −29.7950 | −1.07443 | −0.537217 | − | 0.843444i | \(-0.680524\pi\) | ||||
−0.537217 | + | 0.843444i | \(0.680524\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −21.1370 | −0.761232 | ||||||||
\(772\) | − | 11.6132i | − | 0.417969i | ||||||
\(773\) | − | 0.166290i | − | 0.00598102i | −0.999996 | − | 0.00299051i | \(-0.999048\pi\) | ||
0.999996 | − | 0.00299051i | \(-0.000951911\pi\) | |||||||
\(774\) | 2.00000 | 0.0718885 | ||||||||
\(775\) | −15.4276 | + | 14.0331i | −0.554175 | + | 0.504083i | ||||
\(776\) | −1.27117 | −0.0456324 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | − | 11.8891i | − | 0.426246i | ||||||
\(779\) | −6.51783 | −0.233525 | ||||||||
\(780\) | 2.55780 | + | 6.61323i | 0.0915839 | + | 0.236792i | ||||
\(781\) | −28.7056 | −1.02717 | ||||||||
\(782\) | 37.4791i | 1.34025i | ||||||||
\(783\) | − | 2.38677i | − | 0.0852962i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 20.7395 | − | 8.02144i | 0.740226 | − | 0.286297i | ||||
\(786\) | −5.55780 | −0.198240 | ||||||||
\(787\) | − | 28.4529i | − | 1.01424i | −0.861876 | − | 0.507119i | \(-0.830711\pi\) | ||
0.861876 | − | 0.507119i | \(-0.169289\pi\) | |||||||
\(788\) | 2.39749i | 0.0854070i | ||||||||
\(789\) | −11.9106 | −0.424028 | ||||||||
\(790\) | −25.3829 | + | 9.81733i | −0.903082 | + | 0.349285i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | − | 4.78426i | − | 0.170001i | ||||||
\(793\) | 22.5638i | 0.801263i | ||||||||
\(794\) | 16.1109 | 0.571753 | ||||||||
\(795\) | −6.54616 | − | 16.9252i | −0.232169 | − | 0.600275i | ||||
\(796\) | −18.3421 | −0.650117 | ||||||||
\(797\) | 36.6334i | 1.29762i | 0.760949 | + | 0.648811i | \(0.224734\pi\) | ||||
−0.760949 | + | 0.648811i | \(0.775266\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −60.1727 | −2.12876 | ||||||||
\(800\) | −3.36441 | − | 3.69874i | −0.118950 | − | 0.130770i | ||||
\(801\) | 9.56852 | 0.338087 | ||||||||
\(802\) | 24.9707i | 0.881748i | ||||||||
\(803\) | 19.1370i | 0.675331i | ||||||||
\(804\) | −9.56852 | −0.337456 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −13.2265 | −0.465882 | ||||||||
\(807\) | − | 3.27117i | − | 0.115151i | ||||||
\(808\) | 8.00000i | 0.281439i | ||||||||
\(809\) | 20.2866 | 0.713240 | 0.356620 | − | 0.934250i | \(-0.383929\pi\) | ||||
0.356620 | + | 0.934250i | \(0.383929\pi\) | |||||||
\(810\) | 2.08551 | − | 0.806615i | 0.0732775 | − | 0.0283416i | ||||
\(811\) | 1.38079 | 0.0484861 | 0.0242431 | − | 0.999706i | \(-0.492282\pi\) | ||||
0.0242431 | + | 0.999706i | \(0.492282\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 0.623949i | − | 0.0218829i | ||||||
\(814\) | 34.3081 | 1.20250 | ||||||||
\(815\) | −6.01546 | + | 2.32660i | −0.210712 | + | 0.0814972i | ||||
\(816\) | 5.22646 | 0.182963 | ||||||||
\(817\) | 6.34206i | 0.221881i | ||||||||
\(818\) | − | 3.05543i | − | 0.106831i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.65794 | − | 4.28663i | −0.0578978 | − | 0.149696i | ||||
\(821\) | −17.4129 | −0.607716 | −0.303858 | − | 0.952717i | \(-0.598275\pi\) | ||||
−0.303858 | + | 0.952717i | \(0.598275\pi\) | |||||||
\(822\) | − | 14.7950i | − | 0.516034i | ||||||
\(823\) | − | 20.5947i | − | 0.717886i | −0.933359 | − | 0.358943i | \(-0.883137\pi\) | ||
0.933359 | − | 0.358943i | \(-0.116863\pi\) | |||||||
\(824\) | 11.2265 | 0.391092 | ||||||||
\(825\) | −16.0962 | − | 17.6958i | −0.560399 | − | 0.616087i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.8504i | 0.481626i | 0.970572 | + | 0.240813i | \(0.0774140\pi\) | ||||
−0.970572 | + | 0.240813i | \(0.922586\pi\) | |||||||
\(828\) | − | 7.17103i | − | 0.249211i | ||||||
\(829\) | 1.22646 | 0.0425967 | 0.0212984 | − | 0.999773i | \(-0.493220\pi\) | ||||
0.0212984 | + | 0.999773i | \(0.493220\pi\) | |||||||
\(830\) | 2.74047 | + | 7.08551i | 0.0951230 | + | 0.245942i | ||||
\(831\) | −28.7950 | −0.998887 | ||||||||
\(832\) | − | 3.17103i | − | 0.109936i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −3.65794 | −0.126664 | ||||||||
\(835\) | 8.45766 | − | 3.27117i | 0.292689 | − | 0.113204i | ||||
\(836\) | 15.1710 | 0.524701 | ||||||||
\(837\) | 4.17103i | 0.144172i | ||||||||
\(838\) | 20.1972i | 0.697701i | ||||||||
\(839\) | −29.9106 | −1.03263 | −0.516314 | − | 0.856399i | \(-0.672696\pi\) | ||||
−0.516314 | + | 0.856399i | \(0.672696\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.3033 | −0.803563 | ||||||||
\(842\) | − | 30.3635i | − | 1.04640i | ||||||
\(843\) | − | 2.82897i | − | 0.0974349i | ||||||
\(844\) | 2.82897 | 0.0973772 | ||||||||
\(845\) | −2.37513 | − | 6.14094i | −0.0817071 | − | 0.211255i | ||||
\(846\) | 11.5131 | 0.395828 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 8.11560i | 0.278691i | ||||||||
\(849\) | 25.1370 | 0.862701 | ||||||||
\(850\) | 19.3313 | − | 17.5840i | 0.663060 | − | 0.603125i | ||||
\(851\) | 51.4237 | 1.76278 | ||||||||
\(852\) | 6.00000i | 0.205557i | ||||||||
\(853\) | 10.7181i | 0.366981i | 0.983021 | + | 0.183491i | \(0.0587397\pi\) | ||||
−0.983021 | + | 0.183491i | \(0.941260\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.55780 | + | 6.61323i | 0.0874749 | + | 0.226168i | ||||
\(856\) | −1.39749 | −0.0477652 | ||||||||
\(857\) | 39.6889i | 1.35575i | 0.735179 | + | 0.677873i | \(0.237098\pi\) | ||||
−0.735179 | + | 0.677873i | \(0.762902\pi\) | |||||||
\(858\) | − | 15.1710i | − | 0.517930i | ||||||
\(859\) | −11.0047 | −0.375477 | −0.187738 | − | 0.982219i | \(-0.560116\pi\) | ||||
−0.187738 | + | 0.982219i | \(0.560116\pi\) | |||||||
\(860\) | −4.17103 | + | 1.61323i | −0.142231 | + | 0.0550107i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 24.5733i | 0.836969i | ||||||||
\(863\) | − | 8.62869i | − | 0.293724i | −0.989157 | − | 0.146862i | \(-0.953083\pi\) | ||
0.989157 | − | 0.146862i | \(-0.0469173\pi\) | |||||||
\(864\) | −1.00000 | −0.0340207 | ||||||||
\(865\) | −13.3421 | + | 5.16031i | −0.453644 | + | 0.175456i | ||||
\(866\) | 4.68412 | 0.159173 | ||||||||
\(867\) | 10.3159i | 0.350346i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 58.2294 | 1.97530 | ||||||||
\(870\) | 1.92520 | + | 4.97764i | 0.0652705 | + | 0.168758i | ||||
\(871\) | −30.3421 | −1.02810 | ||||||||
\(872\) | 12.4529i | 0.421709i | ||||||||
\(873\) | 1.27117i | 0.0430226i | ||||||||
\(874\) | 22.7395 | 0.769177 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.00000 | 0.135147 | ||||||||
\(877\) | − | 38.7395i | − | 1.30814i | −0.756433 | − | 0.654071i | \(-0.773060\pi\) | ||
0.756433 | − | 0.654071i | \(-0.226940\pi\) | |||||||
\(878\) | 30.5131i | 1.02977i | ||||||||
\(879\) | −10.2265 | −0.344930 | ||||||||
\(880\) | 3.85906 | + | 9.97764i | 0.130089 | + | 0.336346i | ||||
\(881\) | −6.03399 | −0.203290 | −0.101645 | − | 0.994821i | \(-0.532411\pi\) | ||||
−0.101645 | + | 0.994821i | \(0.532411\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 7.77828i | − | 0.261760i | −0.991398 | − | 0.130880i | \(-0.958220\pi\) | ||
0.991398 | − | 0.130880i | \(-0.0417803\pi\) | |||||||
\(884\) | 16.5733 | 0.557419 | ||||||||
\(885\) | −22.3751 | + | 8.65403i | −0.752132 | + | 0.290902i | ||||
\(886\) | −9.50835 | −0.319439 | ||||||||
\(887\) | − | 24.8939i | − | 0.835855i | −0.908480 | − | 0.417927i | \(-0.862757\pi\) | ||
0.908480 | − | 0.417927i | \(-0.137243\pi\) | |||||||
\(888\) | − | 7.17103i | − | 0.240644i | ||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −19.9553 | + | 7.71811i | −0.668903 | + | 0.258712i | ||||
\(891\) | −4.78426 | −0.160279 | ||||||||
\(892\) | 14.2973i | 0.478711i | ||||||||
\(893\) | 36.5083i | 1.22171i | ||||||||
\(894\) | −22.3421 | −0.747230 | ||||||||
\(895\) | 15.7395 | + | 40.6948i | 0.526115 | + | 1.36028i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | − | 22.7395i | − | 0.759251i | ||||||
\(898\) | − | 17.6239i | − | 0.588119i | ||||||
\(899\) | −9.95529 | −0.332027 | ||||||||
\(900\) | −3.69874 | + | 3.36441i | −0.123291 | + | 0.112147i | ||||
\(901\) | −42.4159 | −1.41308 | ||||||||
\(902\) | 9.83371i | 0.327427i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −6.34206 | −0.210934 | ||||||||
\(905\) | 18.5733 | + | 48.0214i | 0.617396 | + | 1.59629i | ||||
\(906\) | 16.5131 | 0.548611 | ||||||||
\(907\) | − | 46.7056i | − | 1.55083i | −0.631450 | − | 0.775416i | \(-0.717540\pi\) | ||
0.631450 | − | 0.775416i | \(-0.282460\pi\) | |||||||
\(908\) | − | 11.0554i | − | 0.366887i | ||||||
\(909\) | 8.00000 | 0.265343 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6.00000 | −0.198789 | −0.0993944 | − | 0.995048i | \(-0.531691\pi\) | ||||
−0.0993944 | + | 0.995048i | \(0.531691\pi\) | |||||||
\(912\) | − | 3.17103i | − | 0.105003i | ||||||
\(913\) | − | 16.2545i | − | 0.537944i | ||||||
\(914\) | −0.386770 | −0.0127932 | ||||||||
\(915\) | −14.8397 | + | 5.73955i | −0.490585 | + | 0.189744i | ||||
\(916\) | −18.4529 | −0.609702 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | − | 5.22646i | − | 0.172499i | ||||||
\(919\) | 34.2312 | 1.12918 | 0.564592 | − | 0.825370i | \(-0.309034\pi\) | ||||
0.564592 | + | 0.825370i | \(0.309034\pi\) | |||||||
\(920\) | 5.78426 | + | 14.9553i | 0.190701 | + | 0.493061i | ||||
\(921\) | −23.4577 | −0.772956 | ||||||||
\(922\) | − | 37.3682i | − | 1.23066i | ||||||
\(923\) | 19.0262i | 0.626254i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −24.1263 | − | 26.5238i | −0.793268 | − | 0.872097i | ||||
\(926\) | 24.3081 | 0.798813 | ||||||||
\(927\) | − | 11.2265i | − | 0.368725i | ||||||
\(928\) | − | 2.38677i | − | 0.0783496i | ||||||
\(929\) | 27.6549 | 0.907327 | 0.453663 | − | 0.891173i | \(-0.350117\pi\) | ||||
0.453663 | + | 0.891173i | \(0.350117\pi\) | |||||||
\(930\) | −3.36441 | − | 8.69874i | −0.110324 | − | 0.285243i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | − | 9.11560i | − | 0.298591i | ||||||
\(933\) | 5.65794i | 0.185233i | ||||||||
\(934\) | −28.5733 | −0.934946 | ||||||||
\(935\) | −52.1478 | + | 20.1692i | −1.70541 | + | 0.659603i | ||||
\(936\) | −3.17103 | −0.103648 | ||||||||
\(937\) | − | 38.8397i | − | 1.26884i | −0.772990 | − | 0.634419i | \(-0.781240\pi\) | ||
0.772990 | − | 0.634419i | \(-0.218760\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 16.3868 | 0.534762 | ||||||||
\(940\) | −24.0107 | + | 9.28663i | −0.783143 | + | 0.302896i | ||||
\(941\) | −19.7550 | −0.643995 | −0.321997 | − | 0.946741i | \(-0.604354\pi\) | ||||
−0.321997 | + | 0.946741i | \(0.604354\pi\) | |||||||
\(942\) | 9.94457i | 0.324012i | ||||||||
\(943\) | 14.7395i | 0.479986i | ||||||||
\(944\) | 10.7288 | 0.349194 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.56852 | 0.311099 | ||||||||
\(947\) | − | 38.0524i | − | 1.23654i | −0.785968 | − | 0.618268i | \(-0.787835\pi\) | ||
0.785968 | − | 0.618268i | \(-0.212165\pi\) | |||||||
\(948\) | − | 12.1710i | − | 0.395297i | ||||||
\(949\) | 12.6841 | 0.411744 | ||||||||
\(950\) | −10.6687 | − | 11.7288i | −0.346137 | − | 0.380533i | ||||
\(951\) | 4.51309 | 0.146347 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − | 52.5947i | − | 1.70371i | −0.523778 | − | 0.851855i | \(-0.675478\pi\) | ||
0.523778 | − | 0.851855i | \(-0.324522\pi\) | |||||||
\(954\) | 8.11560 | 0.262752 | ||||||||
\(955\) | 8.25264 | + | 21.3373i | 0.267049 | + | 0.690459i | ||||
\(956\) | 13.1156 | 0.424189 | ||||||||
\(957\) | − | 11.4189i | − | 0.369122i | ||||||
\(958\) | 8.56378i | 0.276683i | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 2.08551 | − | 0.806615i | 0.0673097 | − | 0.0260334i | ||||
\(961\) | −13.6025 | −0.438791 | ||||||||
\(962\) | − | 22.7395i | − | 0.733152i | ||||||
\(963\) | 1.39749i | 0.0450335i | ||||||||
\(964\) | 5.34206 | 0.172056 | ||||||||
\(965\) | 24.2196 | − | 9.36740i | 0.779655 | − | 0.301547i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 4.61797i | − | 0.148504i | −0.997240 | − | 0.0742520i | \(-0.976343\pi\) | ||
0.997240 | − | 0.0742520i | \(-0.0236569\pi\) | |||||||
\(968\) | − | 11.8891i | − | 0.382131i | ||||||
\(969\) | 16.5733 | 0.532410 | ||||||||
\(970\) | −1.02534 | − | 2.65104i | −0.0329218 | − | 0.0851199i | ||||
\(971\) | 38.9046 | 1.24851 | 0.624254 | − | 0.781221i | \(-0.285403\pi\) | ||||
0.624254 | + | 0.781221i | \(0.285403\pi\) | |||||||
\(972\) | 1.00000i | 0.0320750i | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 31.8444 | 1.02036 | ||||||||
\(975\) | −11.7288 | + | 10.6687i | −0.375623 | + | 0.341671i | ||||
\(976\) | 7.11560 | 0.227765 | ||||||||
\(977\) | − | 16.0214i | − | 0.512571i | −0.966601 | − | 0.256286i | \(-0.917501\pi\) | ||
0.966601 | − | 0.256286i | \(-0.0824988\pi\) | |||||||
\(978\) | − | 2.88440i | − | 0.0922329i | ||||||
\(979\) | 45.7783 | 1.46308 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12.4529 | 0.397591 | ||||||||
\(982\) | 4.49763i | 0.143525i | ||||||||
\(983\) | 2.05543i | 0.0655580i | 0.999463 | + | 0.0327790i | \(0.0104358\pi\) | ||||
−0.999463 | + | 0.0327790i | \(0.989564\pi\) | |||||||
\(984\) | 2.05543 | 0.0655247 | ||||||||
\(985\) | −5.00000 | + | 1.93385i | −0.159313 | + | 0.0616176i | ||||
\(986\) | 12.4744 | 0.397264 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | − | 10.0554i | − | 0.319906i | ||||||
\(989\) | 14.3421 | 0.456051 | ||||||||
\(990\) | 9.97764 | − | 3.85906i | 0.317110 | − | 0.122649i | ||||
\(991\) | −27.1972 | −0.863948 | −0.431974 | − | 0.901886i | \(-0.642183\pi\) | ||||
−0.431974 | + | 0.901886i | \(0.642183\pi\) | |||||||
\(992\) | 4.17103i | 0.132430i | ||||||||
\(993\) | 13.0816i | 0.415132i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −14.7950 | − | 38.2526i | −0.469032 | − | 1.21269i | ||||
\(996\) | −3.39749 | −0.107654 | ||||||||
\(997\) | − | 18.4744i | − | 0.585089i | −0.956252 | − | 0.292544i | \(-0.905498\pi\) | ||
0.956252 | − | 0.292544i | \(-0.0945019\pi\) | |||||||
\(998\) | 0.342060i | 0.0108277i | ||||||||
\(999\) | −7.17103 | −0.226881 |
(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 | 1470.2.g.i.589.5 | 6 | ||
5.2 | odd | 4 | 7350.2.a.dn.1.1 | 3 | |||
5.3 | odd | 4 | 7350.2.a.dq.1.1 | 3 | |||
5.4 | even | 2 | inner | 1470.2.g.i.589.2 | 6 | ||
7.2 | even | 3 | 210.2.n.b.109.4 | yes | 12 | ||
7.3 | odd | 6 | 1470.2.n.j.79.1 | 12 | |||
7.4 | even | 3 | 210.2.n.b.79.3 | ✓ | 12 | ||
7.5 | odd | 6 | 1470.2.n.j.949.6 | 12 | |||
7.6 | odd | 2 | 1470.2.g.h.589.5 | 6 | |||
21.2 | odd | 6 | 630.2.u.f.109.3 | 12 | |||
21.11 | odd | 6 | 630.2.u.f.289.4 | 12 | |||
28.11 | odd | 6 | 1680.2.di.c.289.6 | 12 | |||
28.23 | odd | 6 | 1680.2.di.c.529.1 | 12 | |||
35.2 | odd | 12 | 1050.2.i.v.151.2 | 6 | |||
35.4 | even | 6 | 210.2.n.b.79.4 | yes | 12 | ||
35.9 | even | 6 | 210.2.n.b.109.3 | yes | 12 | ||
35.13 | even | 4 | 7350.2.a.dp.1.1 | 3 | |||
35.18 | odd | 12 | 1050.2.i.u.751.2 | 6 | |||
35.19 | odd | 6 | 1470.2.n.j.949.1 | 12 | |||
35.23 | odd | 12 | 1050.2.i.u.151.2 | 6 | |||
35.24 | odd | 6 | 1470.2.n.j.79.6 | 12 | |||
35.27 | even | 4 | 7350.2.a.do.1.1 | 3 | |||
35.32 | odd | 12 | 1050.2.i.v.751.2 | 6 | |||
35.34 | odd | 2 | 1470.2.g.h.589.2 | 6 | |||
105.44 | odd | 6 | 630.2.u.f.109.4 | 12 | |||
105.74 | odd | 6 | 630.2.u.f.289.3 | 12 | |||
140.39 | odd | 6 | 1680.2.di.c.289.1 | 12 | |||
140.79 | odd | 6 | 1680.2.di.c.529.6 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.n.b.79.3 | ✓ | 12 | 7.4 | even | 3 | ||
210.2.n.b.79.4 | yes | 12 | 35.4 | even | 6 | ||
210.2.n.b.109.3 | yes | 12 | 35.9 | even | 6 | ||
210.2.n.b.109.4 | yes | 12 | 7.2 | even | 3 | ||
630.2.u.f.109.3 | 12 | 21.2 | odd | 6 | |||
630.2.u.f.109.4 | 12 | 105.44 | odd | 6 | |||
630.2.u.f.289.3 | 12 | 105.74 | odd | 6 | |||
630.2.u.f.289.4 | 12 | 21.11 | odd | 6 | |||
1050.2.i.u.151.2 | 6 | 35.23 | odd | 12 | |||
1050.2.i.u.751.2 | 6 | 35.18 | odd | 12 | |||
1050.2.i.v.151.2 | 6 | 35.2 | odd | 12 | |||
1050.2.i.v.751.2 | 6 | 35.32 | odd | 12 | |||
1470.2.g.h.589.2 | 6 | 35.34 | odd | 2 | |||
1470.2.g.h.589.5 | 6 | 7.6 | odd | 2 | |||
1470.2.g.i.589.2 | 6 | 5.4 | even | 2 | inner | ||
1470.2.g.i.589.5 | 6 | 1.1 | even | 1 | trivial | ||
1470.2.n.j.79.1 | 12 | 7.3 | odd | 6 | |||
1470.2.n.j.79.6 | 12 | 35.24 | odd | 6 | |||
1470.2.n.j.949.1 | 12 | 35.19 | odd | 6 | |||
1470.2.n.j.949.6 | 12 | 7.5 | odd | 6 | |||
1680.2.di.c.289.1 | 12 | 140.39 | odd | 6 | |||
1680.2.di.c.289.6 | 12 | 28.11 | odd | 6 | |||
1680.2.di.c.529.1 | 12 | 28.23 | odd | 6 | |||
1680.2.di.c.529.6 | 12 | 140.79 | odd | 6 | |||
7350.2.a.dn.1.1 | 3 | 5.2 | odd | 4 | |||
7350.2.a.do.1.1 | 3 | 35.27 | even | 4 | |||
7350.2.a.dp.1.1 | 3 | 35.13 | even | 4 | |||
7350.2.a.dq.1.1 | 3 | 5.3 | odd | 4 |