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: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 210) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 589.1 | ||
Root | \(1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1470.589 |
Dual form | 1470.2.g.a.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 | ||||||||
\(5\) | −2.00000 | − | 1.00000i | −0.894427 | − | 0.447214i | ||||
\(6\) | 1.00000 | 0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −1.00000 | + | 2.00000i | −0.316228 | + | 0.632456i | ||||
\(11\) | −5.00000 | −1.50756 | −0.753778 | − | 0.657129i | \(-0.771771\pi\) | ||||
−0.753778 | + | 0.657129i | \(0.771771\pi\) | |||||||
\(12\) | − | 1.00000i | − | 0.288675i | ||||||
\(13\) | 1.00000i | 0.277350i | 0.990338 | + | 0.138675i | \(0.0442844\pi\) | ||||
−0.990338 | + | 0.138675i | \(0.955716\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.00000 | − | 2.00000i | 0.258199 | − | 0.516398i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.00000i | 0.485071i | 0.970143 | + | 0.242536i | \(0.0779791\pi\) | ||||
−0.970143 | + | 0.242536i | \(0.922021\pi\) | |||||||
\(18\) | 1.00000i | 0.235702i | ||||||||
\(19\) | 7.00000 | 1.60591 | 0.802955 | − | 0.596040i | \(-0.203260\pi\) | ||||
0.802955 | + | 0.596040i | \(0.203260\pi\) | |||||||
\(20\) | 2.00000 | + | 1.00000i | 0.447214 | + | 0.223607i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.00000i | 1.06600i | ||||||||
\(23\) | − | 3.00000i | − | 0.625543i | −0.949828 | − | 0.312772i | \(-0.898743\pi\) | ||
0.949828 | − | 0.312772i | \(-0.101257\pi\) | |||||||
\(24\) | −1.00000 | −0.204124 | ||||||||
\(25\) | 3.00000 | + | 4.00000i | 0.600000 | + | 0.800000i | ||||
\(26\) | 1.00000 | 0.196116 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(30\) | −2.00000 | − | 1.00000i | −0.365148 | − | 0.182574i | ||||
\(31\) | 6.00000 | 1.07763 | 0.538816 | − | 0.842424i | \(-0.318872\pi\) | ||||
0.538816 | + | 0.842424i | \(0.318872\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | − | 5.00000i | − | 0.870388i | ||||||
\(34\) | 2.00000 | 0.342997 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.00000 | 0.166667 | ||||||||
\(37\) | − | 5.00000i | − | 0.821995i | −0.911636 | − | 0.410997i | \(-0.865181\pi\) | ||
0.911636 | − | 0.410997i | \(-0.134819\pi\) | |||||||
\(38\) | − | 7.00000i | − | 1.13555i | ||||||
\(39\) | −1.00000 | −0.160128 | ||||||||
\(40\) | 1.00000 | − | 2.00000i | 0.158114 | − | 0.316228i | ||||
\(41\) | 9.00000 | 1.40556 | 0.702782 | − | 0.711405i | \(-0.251941\pi\) | ||||
0.702782 | + | 0.711405i | \(0.251941\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 10.0000i | − | 1.52499i | −0.646997 | − | 0.762493i | \(-0.723975\pi\) | ||
0.646997 | − | 0.762493i | \(-0.276025\pi\) | |||||||
\(44\) | 5.00000 | 0.753778 | ||||||||
\(45\) | 2.00000 | + | 1.00000i | 0.298142 | + | 0.149071i | ||||
\(46\) | −3.00000 | −0.442326 | ||||||||
\(47\) | 13.0000i | 1.89624i | 0.317905 | + | 0.948122i | \(0.397021\pi\) | ||||
−0.317905 | + | 0.948122i | \(0.602979\pi\) | |||||||
\(48\) | 1.00000i | 0.144338i | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 4.00000 | − | 3.00000i | 0.565685 | − | 0.424264i | ||||
\(51\) | −2.00000 | −0.280056 | ||||||||
\(52\) | − | 1.00000i | − | 0.138675i | ||||||
\(53\) | 1.00000i | 0.137361i | 0.997639 | + | 0.0686803i | \(0.0218788\pi\) | ||||
−0.997639 | + | 0.0686803i | \(0.978121\pi\) | |||||||
\(54\) | −1.00000 | −0.136083 | ||||||||
\(55\) | 10.0000 | + | 5.00000i | 1.34840 | + | 0.674200i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.00000i | 0.927173i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 4.00000 | 0.520756 | 0.260378 | − | 0.965507i | \(-0.416153\pi\) | ||||
0.260378 | + | 0.965507i | \(0.416153\pi\) | |||||||
\(60\) | −1.00000 | + | 2.00000i | −0.129099 | + | 0.258199i | ||||
\(61\) | 2.00000 | 0.256074 | 0.128037 | − | 0.991769i | \(-0.459132\pi\) | ||||
0.128037 | + | 0.991769i | \(0.459132\pi\) | |||||||
\(62\) | − | 6.00000i | − | 0.762001i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 1.00000 | − | 2.00000i | 0.124035 | − | 0.248069i | ||||
\(66\) | −5.00000 | −0.615457 | ||||||||
\(67\) | 6.00000i | 0.733017i | 0.930415 | + | 0.366508i | \(0.119447\pi\) | ||||
−0.930415 | + | 0.366508i | \(0.880553\pi\) | |||||||
\(68\) | − | 2.00000i | − | 0.242536i | ||||||
\(69\) | 3.00000 | 0.361158 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.00000 | −0.237356 | −0.118678 | − | 0.992933i | \(-0.537866\pi\) | ||||
−0.118678 | + | 0.992933i | \(0.537866\pi\) | |||||||
\(72\) | − | 1.00000i | − | 0.117851i | ||||||
\(73\) | 4.00000i | 0.468165i | 0.972217 | + | 0.234082i | \(0.0752085\pi\) | ||||
−0.972217 | + | 0.234082i | \(0.924791\pi\) | |||||||
\(74\) | −5.00000 | −0.581238 | ||||||||
\(75\) | −4.00000 | + | 3.00000i | −0.461880 | + | 0.346410i | ||||
\(76\) | −7.00000 | −0.802955 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.00000i | 0.113228i | ||||||||
\(79\) | 14.0000 | 1.57512 | 0.787562 | − | 0.616236i | \(-0.211343\pi\) | ||||
0.787562 | + | 0.616236i | \(0.211343\pi\) | |||||||
\(80\) | −2.00000 | − | 1.00000i | −0.223607 | − | 0.111803i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 9.00000i | − | 0.993884i | ||||||
\(83\) | − | 10.0000i | − | 1.09764i | −0.835940 | − | 0.548821i | \(-0.815077\pi\) | ||
0.835940 | − | 0.548821i | \(-0.184923\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.00000 | − | 4.00000i | 0.216930 | − | 0.433861i | ||||
\(86\) | −10.0000 | −1.07833 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | − | 5.00000i | − | 0.533002i | ||||||
\(89\) | 10.0000 | 1.06000 | 0.529999 | − | 0.847998i | \(-0.322192\pi\) | ||||
0.529999 | + | 0.847998i | \(0.322192\pi\) | |||||||
\(90\) | 1.00000 | − | 2.00000i | 0.105409 | − | 0.210819i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 3.00000i | 0.312772i | ||||||||
\(93\) | 6.00000i | 0.622171i | ||||||||
\(94\) | 13.0000 | 1.34085 | ||||||||
\(95\) | −14.0000 | − | 7.00000i | −1.43637 | − | 0.718185i | ||||
\(96\) | 1.00000 | 0.102062 | ||||||||
\(97\) | − | 8.00000i | − | 0.812277i | −0.913812 | − | 0.406138i | \(-0.866875\pi\) | ||
0.913812 | − | 0.406138i | \(-0.133125\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.00000 | 0.502519 | ||||||||
\(100\) | −3.00000 | − | 4.00000i | −0.300000 | − | 0.400000i | ||||
\(101\) | −8.00000 | −0.796030 | −0.398015 | − | 0.917379i | \(-0.630301\pi\) | ||||
−0.398015 | + | 0.917379i | \(0.630301\pi\) | |||||||
\(102\) | 2.00000i | 0.198030i | ||||||||
\(103\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(104\) | −1.00000 | −0.0980581 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.00000 | 0.0971286 | ||||||||
\(107\) | 12.0000i | 1.16008i | 0.814587 | + | 0.580042i | \(0.196964\pi\) | ||||
−0.814587 | + | 0.580042i | \(0.803036\pi\) | |||||||
\(108\) | 1.00000i | 0.0962250i | ||||||||
\(109\) | 18.0000 | 1.72409 | 0.862044 | − | 0.506834i | \(-0.169184\pi\) | ||||
0.862044 | + | 0.506834i | \(0.169184\pi\) | |||||||
\(110\) | 5.00000 | − | 10.0000i | 0.476731 | − | 0.953463i | ||||
\(111\) | 5.00000 | 0.474579 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 6.00000i | − | 0.564433i | −0.959351 | − | 0.282216i | \(-0.908930\pi\) | ||
0.959351 | − | 0.282216i | \(-0.0910696\pi\) | |||||||
\(114\) | 7.00000 | 0.655610 | ||||||||
\(115\) | −3.00000 | + | 6.00000i | −0.279751 | + | 0.559503i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − | 1.00000i | − | 0.0924500i | ||||||
\(118\) | − | 4.00000i | − | 0.368230i | ||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 2.00000 | + | 1.00000i | 0.182574 | + | 0.0912871i | ||||
\(121\) | 14.0000 | 1.27273 | ||||||||
\(122\) | − | 2.00000i | − | 0.181071i | ||||||
\(123\) | 9.00000i | 0.811503i | ||||||||
\(124\) | −6.00000 | −0.538816 | ||||||||
\(125\) | −2.00000 | − | 11.0000i | −0.178885 | − | 0.983870i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.00000i | 0.798621i | 0.916816 | + | 0.399310i | \(0.130750\pi\) | ||||
−0.916816 | + | 0.399310i | \(0.869250\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 10.0000 | 0.880451 | ||||||||
\(130\) | −2.00000 | − | 1.00000i | −0.175412 | − | 0.0877058i | ||||
\(131\) | 17.0000 | 1.48530 | 0.742648 | − | 0.669681i | \(-0.233569\pi\) | ||||
0.742648 | + | 0.669681i | \(0.233569\pi\) | |||||||
\(132\) | 5.00000i | 0.435194i | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 6.00000 | 0.518321 | ||||||||
\(135\) | −1.00000 | + | 2.00000i | −0.0860663 | + | 0.172133i | ||||
\(136\) | −2.00000 | −0.171499 | ||||||||
\(137\) | − | 4.00000i | − | 0.341743i | −0.985293 | − | 0.170872i | \(-0.945342\pi\) | ||
0.985293 | − | 0.170872i | \(-0.0546583\pi\) | |||||||
\(138\) | − | 3.00000i | − | 0.255377i | ||||||
\(139\) | −8.00000 | −0.678551 | −0.339276 | − | 0.940687i | \(-0.610182\pi\) | ||||
−0.339276 | + | 0.940687i | \(0.610182\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −13.0000 | −1.09480 | ||||||||
\(142\) | 2.00000i | 0.167836i | ||||||||
\(143\) | − | 5.00000i | − | 0.418121i | ||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 4.00000 | 0.331042 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.00000i | 0.410997i | ||||||||
\(149\) | 6.00000 | 0.491539 | 0.245770 | − | 0.969328i | \(-0.420959\pi\) | ||||
0.245770 | + | 0.969328i | \(0.420959\pi\) | |||||||
\(150\) | 3.00000 | + | 4.00000i | 0.244949 | + | 0.326599i | ||||
\(151\) | −22.0000 | −1.79033 | −0.895167 | − | 0.445730i | \(-0.852944\pi\) | ||||
−0.895167 | + | 0.445730i | \(0.852944\pi\) | |||||||
\(152\) | 7.00000i | 0.567775i | ||||||||
\(153\) | − | 2.00000i | − | 0.161690i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −12.0000 | − | 6.00000i | −0.963863 | − | 0.481932i | ||||
\(156\) | 1.00000 | 0.0800641 | ||||||||
\(157\) | − | 13.0000i | − | 1.03751i | −0.854922 | − | 0.518756i | \(-0.826395\pi\) | ||
0.854922 | − | 0.518756i | \(-0.173605\pi\) | |||||||
\(158\) | − | 14.0000i | − | 1.11378i | ||||||
\(159\) | −1.00000 | −0.0793052 | ||||||||
\(160\) | −1.00000 | + | 2.00000i | −0.0790569 | + | 0.158114i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | − | 1.00000i | − | 0.0785674i | ||||||
\(163\) | 12.0000i | 0.939913i | 0.882690 | + | 0.469956i | \(0.155730\pi\) | ||||
−0.882690 | + | 0.469956i | \(0.844270\pi\) | |||||||
\(164\) | −9.00000 | −0.702782 | ||||||||
\(165\) | −5.00000 | + | 10.0000i | −0.389249 | + | 0.778499i | ||||
\(166\) | −10.0000 | −0.776151 | ||||||||
\(167\) | 19.0000i | 1.47026i | 0.677924 | + | 0.735132i | \(0.262880\pi\) | ||||
−0.677924 | + | 0.735132i | \(0.737120\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.0000 | 0.923077 | ||||||||
\(170\) | −4.00000 | − | 2.00000i | −0.306786 | − | 0.153393i | ||||
\(171\) | −7.00000 | −0.535303 | ||||||||
\(172\) | 10.0000i | 0.762493i | ||||||||
\(173\) | 7.00000i | 0.532200i | 0.963945 | + | 0.266100i | \(0.0857352\pi\) | ||||
−0.963945 | + | 0.266100i | \(0.914265\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.00000 | −0.376889 | ||||||||
\(177\) | 4.00000i | 0.300658i | ||||||||
\(178\) | − | 10.0000i | − | 0.749532i | ||||||
\(179\) | 11.0000 | 0.822179 | 0.411089 | − | 0.911595i | \(-0.365148\pi\) | ||||
0.411089 | + | 0.911595i | \(0.365148\pi\) | |||||||
\(180\) | −2.00000 | − | 1.00000i | −0.149071 | − | 0.0745356i | ||||
\(181\) | 2.00000 | 0.148659 | 0.0743294 | − | 0.997234i | \(-0.476318\pi\) | ||||
0.0743294 | + | 0.997234i | \(0.476318\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.00000i | 0.147844i | ||||||||
\(184\) | 3.00000 | 0.221163 | ||||||||
\(185\) | −5.00000 | + | 10.0000i | −0.367607 | + | 0.735215i | ||||
\(186\) | 6.00000 | 0.439941 | ||||||||
\(187\) | − | 10.0000i | − | 0.731272i | ||||||
\(188\) | − | 13.0000i | − | 0.948122i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.00000 | + | 14.0000i | −0.507833 | + | 1.01567i | ||||
\(191\) | −16.0000 | −1.15772 | −0.578860 | − | 0.815427i | \(-0.696502\pi\) | ||||
−0.578860 | + | 0.815427i | \(0.696502\pi\) | |||||||
\(192\) | − | 1.00000i | − | 0.0721688i | ||||||
\(193\) | 18.0000i | 1.29567i | 0.761781 | + | 0.647834i | \(0.224325\pi\) | ||||
−0.761781 | + | 0.647834i | \(0.775675\pi\) | |||||||
\(194\) | −8.00000 | −0.574367 | ||||||||
\(195\) | 2.00000 | + | 1.00000i | 0.143223 | + | 0.0716115i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 27.0000i | − | 1.92367i | −0.273629 | − | 0.961835i | \(-0.588224\pi\) | ||
0.273629 | − | 0.961835i | \(-0.411776\pi\) | |||||||
\(198\) | − | 5.00000i | − | 0.355335i | ||||||
\(199\) | −14.0000 | −0.992434 | −0.496217 | − | 0.868199i | \(-0.665278\pi\) | ||||
−0.496217 | + | 0.868199i | \(0.665278\pi\) | |||||||
\(200\) | −4.00000 | + | 3.00000i | −0.282843 | + | 0.212132i | ||||
\(201\) | −6.00000 | −0.423207 | ||||||||
\(202\) | 8.00000i | 0.562878i | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 2.00000 | 0.140028 | ||||||||
\(205\) | −18.0000 | − | 9.00000i | −1.25717 | − | 0.628587i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.00000i | 0.208514i | ||||||||
\(208\) | 1.00000i | 0.0693375i | ||||||||
\(209\) | −35.0000 | −2.42100 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.0000 | 1.30801 | 0.654007 | − | 0.756489i | \(-0.273087\pi\) | ||||
0.654007 | + | 0.756489i | \(0.273087\pi\) | |||||||
\(212\) | − | 1.00000i | − | 0.0686803i | ||||||
\(213\) | − | 2.00000i | − | 0.137038i | ||||||
\(214\) | 12.0000 | 0.820303 | ||||||||
\(215\) | −10.0000 | + | 20.0000i | −0.681994 | + | 1.36399i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 18.0000i | − | 1.21911i | ||||||
\(219\) | −4.00000 | −0.270295 | ||||||||
\(220\) | −10.0000 | − | 5.00000i | −0.674200 | − | 0.337100i | ||||
\(221\) | −2.00000 | −0.134535 | ||||||||
\(222\) | − | 5.00000i | − | 0.335578i | ||||||
\(223\) | 16.0000i | 1.07144i | 0.844396 | + | 0.535720i | \(0.179960\pi\) | ||||
−0.844396 | + | 0.535720i | \(0.820040\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.00000 | − | 4.00000i | −0.200000 | − | 0.266667i | ||||
\(226\) | −6.00000 | −0.399114 | ||||||||
\(227\) | − | 14.0000i | − | 0.929213i | −0.885517 | − | 0.464606i | \(-0.846196\pi\) | ||
0.885517 | − | 0.464606i | \(-0.153804\pi\) | |||||||
\(228\) | − | 7.00000i | − | 0.463586i | ||||||
\(229\) | −4.00000 | −0.264327 | −0.132164 | − | 0.991228i | \(-0.542192\pi\) | ||||
−0.132164 | + | 0.991228i | \(0.542192\pi\) | |||||||
\(230\) | 6.00000 | + | 3.00000i | 0.395628 | + | 0.197814i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(234\) | −1.00000 | −0.0653720 | ||||||||
\(235\) | 13.0000 | − | 26.0000i | 0.848026 | − | 1.69605i | ||||
\(236\) | −4.00000 | −0.260378 | ||||||||
\(237\) | 14.0000i | 0.909398i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −20.0000 | −1.29369 | −0.646846 | − | 0.762620i | \(-0.723912\pi\) | ||||
−0.646846 | + | 0.762620i | \(0.723912\pi\) | |||||||
\(240\) | 1.00000 | − | 2.00000i | 0.0645497 | − | 0.129099i | ||||
\(241\) | 1.00000 | 0.0644157 | 0.0322078 | − | 0.999481i | \(-0.489746\pi\) | ||||
0.0322078 | + | 0.999481i | \(0.489746\pi\) | |||||||
\(242\) | − | 14.0000i | − | 0.899954i | ||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −2.00000 | −0.128037 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.00000 | 0.573819 | ||||||||
\(247\) | 7.00000i | 0.445399i | ||||||||
\(248\) | 6.00000i | 0.381000i | ||||||||
\(249\) | 10.0000 | 0.633724 | ||||||||
\(250\) | −11.0000 | + | 2.00000i | −0.695701 | + | 0.126491i | ||||
\(251\) | 3.00000 | 0.189358 | 0.0946792 | − | 0.995508i | \(-0.469817\pi\) | ||||
0.0946792 | + | 0.995508i | \(0.469817\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 15.0000i | 0.943042i | ||||||||
\(254\) | 9.00000 | 0.564710 | ||||||||
\(255\) | 4.00000 | + | 2.00000i | 0.250490 | + | 0.125245i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 10.0000i | 0.623783i | 0.950118 | + | 0.311891i | \(0.100963\pi\) | ||||
−0.950118 | + | 0.311891i | \(0.899037\pi\) | |||||||
\(258\) | − | 10.0000i | − | 0.622573i | ||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −1.00000 | + | 2.00000i | −0.0620174 | + | 0.124035i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | − | 17.0000i | − | 1.05026i | ||||||
\(263\) | − | 24.0000i | − | 1.47990i | −0.672660 | − | 0.739952i | \(-0.734848\pi\) | ||
0.672660 | − | 0.739952i | \(-0.265152\pi\) | |||||||
\(264\) | 5.00000 | 0.307729 | ||||||||
\(265\) | 1.00000 | − | 2.00000i | 0.0614295 | − | 0.122859i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.0000i | 0.611990i | ||||||||
\(268\) | − | 6.00000i | − | 0.366508i | ||||||
\(269\) | 14.0000 | 0.853595 | 0.426798 | − | 0.904347i | \(-0.359642\pi\) | ||||
0.426798 | + | 0.904347i | \(0.359642\pi\) | |||||||
\(270\) | 2.00000 | + | 1.00000i | 0.121716 | + | 0.0608581i | ||||
\(271\) | −8.00000 | −0.485965 | −0.242983 | − | 0.970031i | \(-0.578126\pi\) | ||||
−0.242983 | + | 0.970031i | \(0.578126\pi\) | |||||||
\(272\) | 2.00000i | 0.121268i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.00000 | −0.241649 | ||||||||
\(275\) | −15.0000 | − | 20.0000i | −0.904534 | − | 1.20605i | ||||
\(276\) | −3.00000 | −0.180579 | ||||||||
\(277\) | 2.00000i | 0.120168i | 0.998193 | + | 0.0600842i | \(0.0191369\pi\) | ||||
−0.998193 | + | 0.0600842i | \(0.980863\pi\) | |||||||
\(278\) | 8.00000i | 0.479808i | ||||||||
\(279\) | −6.00000 | −0.359211 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.0000 | −0.656205 | −0.328102 | − | 0.944642i | \(-0.606409\pi\) | ||||
−0.328102 | + | 0.944642i | \(0.606409\pi\) | |||||||
\(282\) | 13.0000i | 0.774139i | ||||||||
\(283\) | 26.0000i | 1.54554i | 0.634686 | + | 0.772770i | \(0.281129\pi\) | ||||
−0.634686 | + | 0.772770i | \(0.718871\pi\) | |||||||
\(284\) | 2.00000 | 0.118678 | ||||||||
\(285\) | 7.00000 | − | 14.0000i | 0.414644 | − | 0.829288i | ||||
\(286\) | −5.00000 | −0.295656 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 1.00000i | 0.0589256i | ||||||||
\(289\) | 13.0000 | 0.764706 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8.00000 | 0.468968 | ||||||||
\(292\) | − | 4.00000i | − | 0.234082i | ||||||
\(293\) | 1.00000i | 0.0584206i | 0.999573 | + | 0.0292103i | \(0.00929925\pi\) | ||||
−0.999573 | + | 0.0292103i | \(0.990701\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −8.00000 | − | 4.00000i | −0.465778 | − | 0.232889i | ||||
\(296\) | 5.00000 | 0.290619 | ||||||||
\(297\) | 5.00000i | 0.290129i | ||||||||
\(298\) | − | 6.00000i | − | 0.347571i | ||||||
\(299\) | 3.00000 | 0.173494 | ||||||||
\(300\) | 4.00000 | − | 3.00000i | 0.230940 | − | 0.173205i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 22.0000i | 1.26596i | ||||||||
\(303\) | − | 8.00000i | − | 0.459588i | ||||||
\(304\) | 7.00000 | 0.401478 | ||||||||
\(305\) | −4.00000 | − | 2.00000i | −0.229039 | − | 0.114520i | ||||
\(306\) | −2.00000 | −0.114332 | ||||||||
\(307\) | − | 2.00000i | − | 0.114146i | −0.998370 | − | 0.0570730i | \(-0.981823\pi\) | ||
0.998370 | − | 0.0570730i | \(-0.0181768\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.00000 | + | 12.0000i | −0.340777 | + | 0.681554i | ||||
\(311\) | 26.0000 | 1.47432 | 0.737162 | − | 0.675716i | \(-0.236165\pi\) | ||||
0.737162 | + | 0.675716i | \(0.236165\pi\) | |||||||
\(312\) | − | 1.00000i | − | 0.0566139i | ||||||
\(313\) | − | 10.0000i | − | 0.565233i | −0.959233 | − | 0.282617i | \(-0.908798\pi\) | ||
0.959233 | − | 0.282617i | \(-0.0912024\pi\) | |||||||
\(314\) | −13.0000 | −0.733632 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.0000 | −0.787562 | ||||||||
\(317\) | 2.00000i | 0.112331i | 0.998421 | + | 0.0561656i | \(0.0178875\pi\) | ||||
−0.998421 | + | 0.0561656i | \(0.982113\pi\) | |||||||
\(318\) | 1.00000i | 0.0560772i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 2.00000 | + | 1.00000i | 0.111803 | + | 0.0559017i | ||||
\(321\) | −12.0000 | −0.669775 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 14.0000i | 0.778981i | ||||||||
\(324\) | −1.00000 | −0.0555556 | ||||||||
\(325\) | −4.00000 | + | 3.00000i | −0.221880 | + | 0.166410i | ||||
\(326\) | 12.0000 | 0.664619 | ||||||||
\(327\) | 18.0000i | 0.995402i | ||||||||
\(328\) | 9.00000i | 0.496942i | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 10.0000 | + | 5.00000i | 0.550482 | + | 0.275241i | ||||
\(331\) | −15.0000 | −0.824475 | −0.412237 | − | 0.911077i | \(-0.635253\pi\) | ||||
−0.412237 | + | 0.911077i | \(0.635253\pi\) | |||||||
\(332\) | 10.0000i | 0.548821i | ||||||||
\(333\) | 5.00000i | 0.273998i | ||||||||
\(334\) | 19.0000 | 1.03963 | ||||||||
\(335\) | 6.00000 | − | 12.0000i | 0.327815 | − | 0.655630i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 14.0000i | − | 0.762629i | −0.924445 | − | 0.381314i | \(-0.875472\pi\) | ||
0.924445 | − | 0.381314i | \(-0.124528\pi\) | |||||||
\(338\) | − | 12.0000i | − | 0.652714i | ||||||
\(339\) | 6.00000 | 0.325875 | ||||||||
\(340\) | −2.00000 | + | 4.00000i | −0.108465 | + | 0.216930i | ||||
\(341\) | −30.0000 | −1.62459 | ||||||||
\(342\) | 7.00000i | 0.378517i | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 10.0000 | 0.539164 | ||||||||
\(345\) | −6.00000 | − | 3.00000i | −0.323029 | − | 0.161515i | ||||
\(346\) | 7.00000 | 0.376322 | ||||||||
\(347\) | − | 16.0000i | − | 0.858925i | −0.903085 | − | 0.429463i | \(-0.858703\pi\) | ||
0.903085 | − | 0.429463i | \(-0.141297\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −24.0000 | −1.28469 | −0.642345 | − | 0.766415i | \(-0.722038\pi\) | ||||
−0.642345 | + | 0.766415i | \(0.722038\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | 5.00000i | 0.266501i | ||||||||
\(353\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(354\) | 4.00000 | 0.212598 | ||||||||
\(355\) | 4.00000 | + | 2.00000i | 0.212298 | + | 0.106149i | ||||
\(356\) | −10.0000 | −0.529999 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 11.0000i | − | 0.581368i | ||||||
\(359\) | 28.0000 | 1.47778 | 0.738892 | − | 0.673824i | \(-0.235349\pi\) | ||||
0.738892 | + | 0.673824i | \(0.235349\pi\) | |||||||
\(360\) | −1.00000 | + | 2.00000i | −0.0527046 | + | 0.105409i | ||||
\(361\) | 30.0000 | 1.57895 | ||||||||
\(362\) | − | 2.00000i | − | 0.105118i | ||||||
\(363\) | 14.0000i | 0.734809i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.00000 | − | 8.00000i | 0.209370 | − | 0.418739i | ||||
\(366\) | 2.00000 | 0.104542 | ||||||||
\(367\) | 37.0000i | 1.93138i | 0.259690 | + | 0.965692i | \(0.416380\pi\) | ||||
−0.259690 | + | 0.965692i | \(0.583620\pi\) | |||||||
\(368\) | − | 3.00000i | − | 0.156386i | ||||||
\(369\) | −9.00000 | −0.468521 | ||||||||
\(370\) | 10.0000 | + | 5.00000i | 0.519875 | + | 0.259938i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | − | 6.00000i | − | 0.311086i | ||||||
\(373\) | − | 6.00000i | − | 0.310668i | −0.987862 | − | 0.155334i | \(-0.950355\pi\) | ||
0.987862 | − | 0.155334i | \(-0.0496454\pi\) | |||||||
\(374\) | −10.0000 | −0.517088 | ||||||||
\(375\) | 11.0000 | − | 2.00000i | 0.568038 | − | 0.103280i | ||||
\(376\) | −13.0000 | −0.670424 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.00000 | 0.0513665 | 0.0256833 | − | 0.999670i | \(-0.491824\pi\) | ||||
0.0256833 | + | 0.999670i | \(0.491824\pi\) | |||||||
\(380\) | 14.0000 | + | 7.00000i | 0.718185 | + | 0.359092i | ||||
\(381\) | −9.00000 | −0.461084 | ||||||||
\(382\) | 16.0000i | 0.818631i | ||||||||
\(383\) | − | 9.00000i | − | 0.459879i | −0.973205 | − | 0.229939i | \(-0.926147\pi\) | ||
0.973205 | − | 0.229939i | \(-0.0738528\pi\) | |||||||
\(384\) | −1.00000 | −0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 18.0000 | 0.916176 | ||||||||
\(387\) | 10.0000i | 0.508329i | ||||||||
\(388\) | 8.00000i | 0.406138i | ||||||||
\(389\) | −6.00000 | −0.304212 | −0.152106 | − | 0.988364i | \(-0.548606\pi\) | ||||
−0.152106 | + | 0.988364i | \(0.548606\pi\) | |||||||
\(390\) | 1.00000 | − | 2.00000i | 0.0506370 | − | 0.101274i | ||||
\(391\) | 6.00000 | 0.303433 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 17.0000i | 0.857537i | ||||||||
\(394\) | −27.0000 | −1.36024 | ||||||||
\(395\) | −28.0000 | − | 14.0000i | −1.40883 | − | 0.704416i | ||||
\(396\) | −5.00000 | −0.251259 | ||||||||
\(397\) | 2.00000i | 0.100377i | 0.998740 | + | 0.0501886i | \(0.0159822\pi\) | ||||
−0.998740 | + | 0.0501886i | \(0.984018\pi\) | |||||||
\(398\) | 14.0000i | 0.701757i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.00000 | + | 4.00000i | 0.150000 | + | 0.200000i | ||||
\(401\) | −27.0000 | −1.34832 | −0.674158 | − | 0.738587i | \(-0.735493\pi\) | ||||
−0.674158 | + | 0.738587i | \(0.735493\pi\) | |||||||
\(402\) | 6.00000i | 0.299253i | ||||||||
\(403\) | 6.00000i | 0.298881i | ||||||||
\(404\) | 8.00000 | 0.398015 | ||||||||
\(405\) | −2.00000 | − | 1.00000i | −0.0993808 | − | 0.0496904i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 25.0000i | 1.23920i | ||||||||
\(408\) | − | 2.00000i | − | 0.0990148i | ||||||
\(409\) | 10.0000 | 0.494468 | 0.247234 | − | 0.968956i | \(-0.420478\pi\) | ||||
0.247234 | + | 0.968956i | \(0.420478\pi\) | |||||||
\(410\) | −9.00000 | + | 18.0000i | −0.444478 | + | 0.888957i | ||||
\(411\) | 4.00000 | 0.197305 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 3.00000 | 0.147442 | ||||||||
\(415\) | −10.0000 | + | 20.0000i | −0.490881 | + | 0.981761i | ||||
\(416\) | 1.00000 | 0.0490290 | ||||||||
\(417\) | − | 8.00000i | − | 0.391762i | ||||||
\(418\) | 35.0000i | 1.71191i | ||||||||
\(419\) | 3.00000 | 0.146560 | 0.0732798 | − | 0.997311i | \(-0.476653\pi\) | ||||
0.0732798 | + | 0.997311i | \(0.476653\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −20.0000 | −0.974740 | −0.487370 | − | 0.873195i | \(-0.662044\pi\) | ||||
−0.487370 | + | 0.873195i | \(0.662044\pi\) | |||||||
\(422\) | − | 19.0000i | − | 0.924906i | ||||||
\(423\) | − | 13.0000i | − | 0.632082i | ||||||
\(424\) | −1.00000 | −0.0485643 | ||||||||
\(425\) | −8.00000 | + | 6.00000i | −0.388057 | + | 0.291043i | ||||
\(426\) | −2.00000 | −0.0969003 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | − | 12.0000i | − | 0.580042i | ||||||
\(429\) | 5.00000 | 0.241402 | ||||||||
\(430\) | 20.0000 | + | 10.0000i | 0.964486 | + | 0.482243i | ||||
\(431\) | 18.0000 | 0.867029 | 0.433515 | − | 0.901146i | \(-0.357273\pi\) | ||||
0.433515 | + | 0.901146i | \(0.357273\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | 4.00000i | 0.192228i | 0.995370 | + | 0.0961139i | \(0.0306413\pi\) | ||||
−0.995370 | + | 0.0961139i | \(0.969359\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −18.0000 | −0.862044 | ||||||||
\(437\) | − | 21.0000i | − | 1.00457i | ||||||
\(438\) | 4.00000i | 0.191127i | ||||||||
\(439\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(440\) | −5.00000 | + | 10.0000i | −0.238366 | + | 0.476731i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.00000i | 0.0951303i | ||||||||
\(443\) | 6.00000i | 0.285069i | 0.989790 | + | 0.142534i | \(0.0455251\pi\) | ||||
−0.989790 | + | 0.142534i | \(0.954475\pi\) | |||||||
\(444\) | −5.00000 | −0.237289 | ||||||||
\(445\) | −20.0000 | − | 10.0000i | −0.948091 | − | 0.474045i | ||||
\(446\) | 16.0000 | 0.757622 | ||||||||
\(447\) | 6.00000i | 0.283790i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.00000 | −0.424736 | −0.212368 | − | 0.977190i | \(-0.568118\pi\) | ||||
−0.212368 | + | 0.977190i | \(0.568118\pi\) | |||||||
\(450\) | −4.00000 | + | 3.00000i | −0.188562 | + | 0.141421i | ||||
\(451\) | −45.0000 | −2.11897 | ||||||||
\(452\) | 6.00000i | 0.282216i | ||||||||
\(453\) | − | 22.0000i | − | 1.03365i | ||||||
\(454\) | −14.0000 | −0.657053 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.00000 | −0.327805 | ||||||||
\(457\) | − | 38.0000i | − | 1.77757i | −0.458329 | − | 0.888783i | \(-0.651552\pi\) | ||
0.458329 | − | 0.888783i | \(-0.348448\pi\) | |||||||
\(458\) | 4.00000i | 0.186908i | ||||||||
\(459\) | 2.00000 | 0.0933520 | ||||||||
\(460\) | 3.00000 | − | 6.00000i | 0.139876 | − | 0.279751i | ||||
\(461\) | 12.0000 | 0.558896 | 0.279448 | − | 0.960161i | \(-0.409849\pi\) | ||||
0.279448 | + | 0.960161i | \(0.409849\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.0000i | 0.697109i | 0.937288 | + | 0.348555i | \(0.113327\pi\) | ||||
−0.937288 | + | 0.348555i | \(0.886673\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 6.00000 | − | 12.0000i | 0.278243 | − | 0.556487i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 2.00000i | − | 0.0925490i | −0.998929 | − | 0.0462745i | \(-0.985265\pi\) | ||
0.998929 | − | 0.0462745i | \(-0.0147349\pi\) | |||||||
\(468\) | 1.00000i | 0.0462250i | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −26.0000 | − | 13.0000i | −1.19929 | − | 0.599645i | ||||
\(471\) | 13.0000 | 0.599008 | ||||||||
\(472\) | 4.00000i | 0.184115i | ||||||||
\(473\) | 50.0000i | 2.29900i | ||||||||
\(474\) | 14.0000 | 0.643041 | ||||||||
\(475\) | 21.0000 | + | 28.0000i | 0.963546 | + | 1.28473i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 1.00000i | − | 0.0457869i | ||||||
\(478\) | 20.0000i | 0.914779i | ||||||||
\(479\) | 8.00000 | 0.365529 | 0.182765 | − | 0.983157i | \(-0.441495\pi\) | ||||
0.182765 | + | 0.983157i | \(0.441495\pi\) | |||||||
\(480\) | −2.00000 | − | 1.00000i | −0.0912871 | − | 0.0456435i | ||||
\(481\) | 5.00000 | 0.227980 | ||||||||
\(482\) | − | 1.00000i | − | 0.0455488i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.0000 | −0.636364 | ||||||||
\(485\) | −8.00000 | + | 16.0000i | −0.363261 | + | 0.726523i | ||||
\(486\) | 1.00000 | 0.0453609 | ||||||||
\(487\) | 24.0000i | 1.08754i | 0.839233 | + | 0.543772i | \(0.183004\pi\) | ||||
−0.839233 | + | 0.543772i | \(0.816996\pi\) | |||||||
\(488\) | 2.00000i | 0.0905357i | ||||||||
\(489\) | −12.0000 | −0.542659 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 24.0000 | 1.08310 | 0.541552 | − | 0.840667i | \(-0.317837\pi\) | ||||
0.541552 | + | 0.840667i | \(0.317837\pi\) | |||||||
\(492\) | − | 9.00000i | − | 0.405751i | ||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 7.00000 | 0.314945 | ||||||||
\(495\) | −10.0000 | − | 5.00000i | −0.449467 | − | 0.224733i | ||||
\(496\) | 6.00000 | 0.269408 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | − | 10.0000i | − | 0.448111i | ||||||
\(499\) | 28.0000 | 1.25345 | 0.626726 | − | 0.779240i | \(-0.284395\pi\) | ||||
0.626726 | + | 0.779240i | \(0.284395\pi\) | |||||||
\(500\) | 2.00000 | + | 11.0000i | 0.0894427 | + | 0.491935i | ||||
\(501\) | −19.0000 | −0.848857 | ||||||||
\(502\) | − | 3.00000i | − | 0.133897i | ||||||
\(503\) | 24.0000i | 1.07011i | 0.844818 | + | 0.535054i | \(0.179709\pi\) | ||||
−0.844818 | + | 0.535054i | \(0.820291\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 16.0000 | + | 8.00000i | 0.711991 | + | 0.355995i | ||||
\(506\) | 15.0000 | 0.666831 | ||||||||
\(507\) | 12.0000i | 0.532939i | ||||||||
\(508\) | − | 9.00000i | − | 0.399310i | ||||||
\(509\) | 14.0000 | 0.620539 | 0.310270 | − | 0.950649i | \(-0.399581\pi\) | ||||
0.310270 | + | 0.950649i | \(0.399581\pi\) | |||||||
\(510\) | 2.00000 | − | 4.00000i | 0.0885615 | − | 0.177123i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | − | 7.00000i | − | 0.309058i | ||||||
\(514\) | 10.0000 | 0.441081 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −10.0000 | −0.440225 | ||||||||
\(517\) | − | 65.0000i | − | 2.85870i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −7.00000 | −0.307266 | ||||||||
\(520\) | 2.00000 | + | 1.00000i | 0.0877058 | + | 0.0438529i | ||||
\(521\) | 15.0000 | 0.657162 | 0.328581 | − | 0.944476i | \(-0.393430\pi\) | ||||
0.328581 | + | 0.944476i | \(0.393430\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.0000i | 0.524723i | 0.964970 | + | 0.262362i | \(0.0845013\pi\) | ||||
−0.964970 | + | 0.262362i | \(0.915499\pi\) | |||||||
\(524\) | −17.0000 | −0.742648 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −24.0000 | −1.04645 | ||||||||
\(527\) | 12.0000i | 0.522728i | ||||||||
\(528\) | − | 5.00000i | − | 0.217597i | ||||||
\(529\) | 14.0000 | 0.608696 | ||||||||
\(530\) | −2.00000 | − | 1.00000i | −0.0868744 | − | 0.0434372i | ||||
\(531\) | −4.00000 | −0.173585 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 9.00000i | 0.389833i | ||||||||
\(534\) | 10.0000 | 0.432742 | ||||||||
\(535\) | 12.0000 | − | 24.0000i | 0.518805 | − | 1.03761i | ||||
\(536\) | −6.00000 | −0.259161 | ||||||||
\(537\) | 11.0000i | 0.474685i | ||||||||
\(538\) | − | 14.0000i | − | 0.603583i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.00000 | − | 2.00000i | 0.0430331 | − | 0.0860663i | ||||
\(541\) | 4.00000 | 0.171973 | 0.0859867 | − | 0.996296i | \(-0.472596\pi\) | ||||
0.0859867 | + | 0.996296i | \(0.472596\pi\) | |||||||
\(542\) | 8.00000i | 0.343629i | ||||||||
\(543\) | 2.00000i | 0.0858282i | ||||||||
\(544\) | 2.00000 | 0.0857493 | ||||||||
\(545\) | −36.0000 | − | 18.0000i | −1.54207 | − | 0.771035i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 14.0000i | − | 0.598597i | −0.954160 | − | 0.299298i | \(-0.903247\pi\) | ||
0.954160 | − | 0.299298i | \(-0.0967526\pi\) | |||||||
\(548\) | 4.00000i | 0.170872i | ||||||||
\(549\) | −2.00000 | −0.0853579 | ||||||||
\(550\) | −20.0000 | + | 15.0000i | −0.852803 | + | 0.639602i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 3.00000i | 0.127688i | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 2.00000 | 0.0849719 | ||||||||
\(555\) | −10.0000 | − | 5.00000i | −0.424476 | − | 0.212238i | ||||
\(556\) | 8.00000 | 0.339276 | ||||||||
\(557\) | − | 39.0000i | − | 1.65248i | −0.563316 | − | 0.826242i | \(-0.690475\pi\) | ||
0.563316 | − | 0.826242i | \(-0.309525\pi\) | |||||||
\(558\) | 6.00000i | 0.254000i | ||||||||
\(559\) | 10.0000 | 0.422955 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 10.0000 | 0.422200 | ||||||||
\(562\) | 11.0000i | 0.464007i | ||||||||
\(563\) | 30.0000i | 1.26435i | 0.774826 | + | 0.632175i | \(0.217837\pi\) | ||||
−0.774826 | + | 0.632175i | \(0.782163\pi\) | |||||||
\(564\) | 13.0000 | 0.547399 | ||||||||
\(565\) | −6.00000 | + | 12.0000i | −0.252422 | + | 0.504844i | ||||
\(566\) | 26.0000 | 1.09286 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 2.00000i | − | 0.0839181i | ||||||
\(569\) | 3.00000 | 0.125767 | 0.0628833 | − | 0.998021i | \(-0.479970\pi\) | ||||
0.0628833 | + | 0.998021i | \(0.479970\pi\) | |||||||
\(570\) | −14.0000 | − | 7.00000i | −0.586395 | − | 0.293198i | ||||
\(571\) | −8.00000 | −0.334790 | −0.167395 | − | 0.985890i | \(-0.553535\pi\) | ||||
−0.167395 | + | 0.985890i | \(0.553535\pi\) | |||||||
\(572\) | 5.00000i | 0.209061i | ||||||||
\(573\) | − | 16.0000i | − | 0.668410i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 12.0000 | − | 9.00000i | 0.500435 | − | 0.375326i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | − | 24.0000i | − | 0.999133i | −0.866276 | − | 0.499567i | \(-0.833493\pi\) | ||
0.866276 | − | 0.499567i | \(-0.166507\pi\) | |||||||
\(578\) | − | 13.0000i | − | 0.540729i | ||||||
\(579\) | −18.0000 | −0.748054 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | − | 8.00000i | − | 0.331611i | ||||||
\(583\) | − | 5.00000i | − | 0.207079i | ||||||
\(584\) | −4.00000 | −0.165521 | ||||||||
\(585\) | −1.00000 | + | 2.00000i | −0.0413449 | + | 0.0826898i | ||||
\(586\) | 1.00000 | 0.0413096 | ||||||||
\(587\) | − | 2.00000i | − | 0.0825488i | −0.999148 | − | 0.0412744i | \(-0.986858\pi\) | ||
0.999148 | − | 0.0412744i | \(-0.0131418\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 42.0000 | 1.73058 | ||||||||
\(590\) | −4.00000 | + | 8.00000i | −0.164677 | + | 0.329355i | ||||
\(591\) | 27.0000 | 1.11063 | ||||||||
\(592\) | − | 5.00000i | − | 0.205499i | ||||||
\(593\) | − | 34.0000i | − | 1.39621i | −0.715994 | − | 0.698106i | \(-0.754026\pi\) | ||
0.715994 | − | 0.698106i | \(-0.245974\pi\) | |||||||
\(594\) | 5.00000 | 0.205152 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −6.00000 | −0.245770 | ||||||||
\(597\) | − | 14.0000i | − | 0.572982i | ||||||
\(598\) | − | 3.00000i | − | 0.122679i | ||||||
\(599\) | 28.0000 | 1.14405 | 0.572024 | − | 0.820237i | \(-0.306158\pi\) | ||||
0.572024 | + | 0.820237i | \(0.306158\pi\) | |||||||
\(600\) | −3.00000 | − | 4.00000i | −0.122474 | − | 0.163299i | ||||
\(601\) | 30.0000 | 1.22373 | 0.611863 | − | 0.790964i | \(-0.290420\pi\) | ||||
0.611863 | + | 0.790964i | \(0.290420\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 6.00000i | − | 0.244339i | ||||||
\(604\) | 22.0000 | 0.895167 | ||||||||
\(605\) | −28.0000 | − | 14.0000i | −1.13836 | − | 0.569181i | ||||
\(606\) | −8.00000 | −0.324978 | ||||||||
\(607\) | − | 13.0000i | − | 0.527654i | −0.964570 | − | 0.263827i | \(-0.915015\pi\) | ||
0.964570 | − | 0.263827i | \(-0.0849848\pi\) | |||||||
\(608\) | − | 7.00000i | − | 0.283887i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.00000 | + | 4.00000i | −0.0809776 | + | 0.161955i | ||||
\(611\) | −13.0000 | −0.525924 | ||||||||
\(612\) | 2.00000i | 0.0808452i | ||||||||
\(613\) | − | 19.0000i | − | 0.767403i | −0.923457 | − | 0.383701i | \(-0.874649\pi\) | ||
0.923457 | − | 0.383701i | \(-0.125351\pi\) | |||||||
\(614\) | −2.00000 | −0.0807134 | ||||||||
\(615\) | 9.00000 | − | 18.0000i | 0.362915 | − | 0.725830i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 30.0000i | 1.20775i | 0.797077 | + | 0.603877i | \(0.206378\pi\) | ||||
−0.797077 | + | 0.603877i | \(0.793622\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.0000 | 0.602901 | 0.301450 | − | 0.953482i | \(-0.402529\pi\) | ||||
0.301450 | + | 0.953482i | \(0.402529\pi\) | |||||||
\(620\) | 12.0000 | + | 6.00000i | 0.481932 | + | 0.240966i | ||||
\(621\) | −3.00000 | −0.120386 | ||||||||
\(622\) | − | 26.0000i | − | 1.04251i | ||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −1.00000 | −0.0400320 | ||||||||
\(625\) | −7.00000 | + | 24.0000i | −0.280000 | + | 0.960000i | ||||
\(626\) | −10.0000 | −0.399680 | ||||||||
\(627\) | − | 35.0000i | − | 1.39777i | ||||||
\(628\) | 13.0000i | 0.518756i | ||||||||
\(629\) | 10.0000 | 0.398726 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.0000 | 0.716569 | 0.358284 | − | 0.933613i | \(-0.383362\pi\) | ||||
0.358284 | + | 0.933613i | \(0.383362\pi\) | |||||||
\(632\) | 14.0000i | 0.556890i | ||||||||
\(633\) | 19.0000i | 0.755182i | ||||||||
\(634\) | 2.00000 | 0.0794301 | ||||||||
\(635\) | 9.00000 | − | 18.0000i | 0.357154 | − | 0.714308i | ||||
\(636\) | 1.00000 | 0.0396526 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 2.00000 | 0.0791188 | ||||||||
\(640\) | 1.00000 | − | 2.00000i | 0.0395285 | − | 0.0790569i | ||||
\(641\) | −33.0000 | −1.30342 | −0.651711 | − | 0.758468i | \(-0.725948\pi\) | ||||
−0.651711 | + | 0.758468i | \(0.725948\pi\) | |||||||
\(642\) | 12.0000i | 0.473602i | ||||||||
\(643\) | 38.0000i | 1.49857i | 0.662246 | + | 0.749287i | \(0.269604\pi\) | ||||
−0.662246 | + | 0.749287i | \(0.730396\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −20.0000 | − | 10.0000i | −0.787499 | − | 0.393750i | ||||
\(646\) | 14.0000 | 0.550823 | ||||||||
\(647\) | 1.00000i | 0.0393141i | 0.999807 | + | 0.0196570i | \(0.00625743\pi\) | ||||
−0.999807 | + | 0.0196570i | \(0.993743\pi\) | |||||||
\(648\) | 1.00000i | 0.0392837i | ||||||||
\(649\) | −20.0000 | −0.785069 | ||||||||
\(650\) | 3.00000 | + | 4.00000i | 0.117670 | + | 0.156893i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 12.0000i | − | 0.469956i | ||||||
\(653\) | − | 5.00000i | − | 0.195665i | −0.995203 | − | 0.0978326i | \(-0.968809\pi\) | ||
0.995203 | − | 0.0978326i | \(-0.0311910\pi\) | |||||||
\(654\) | 18.0000 | 0.703856 | ||||||||
\(655\) | −34.0000 | − | 17.0000i | −1.32849 | − | 0.664245i | ||||
\(656\) | 9.00000 | 0.351391 | ||||||||
\(657\) | − | 4.00000i | − | 0.156055i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 36.0000 | 1.40236 | 0.701180 | − | 0.712984i | \(-0.252657\pi\) | ||||
0.701180 | + | 0.712984i | \(0.252657\pi\) | |||||||
\(660\) | 5.00000 | − | 10.0000i | 0.194625 | − | 0.389249i | ||||
\(661\) | −40.0000 | −1.55582 | −0.777910 | − | 0.628376i | \(-0.783720\pi\) | ||||
−0.777910 | + | 0.628376i | \(0.783720\pi\) | |||||||
\(662\) | 15.0000i | 0.582992i | ||||||||
\(663\) | − | 2.00000i | − | 0.0776736i | ||||||
\(664\) | 10.0000 | 0.388075 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 5.00000 | 0.193746 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | − | 19.0000i | − | 0.735132i | ||||||
\(669\) | −16.0000 | −0.618596 | ||||||||
\(670\) | −12.0000 | − | 6.00000i | −0.463600 | − | 0.231800i | ||||
\(671\) | −10.0000 | −0.386046 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 36.0000i | − | 1.38770i | −0.720121 | − | 0.693849i | \(-0.755914\pi\) | ||
0.720121 | − | 0.693849i | \(-0.244086\pi\) | |||||||
\(674\) | −14.0000 | −0.539260 | ||||||||
\(675\) | 4.00000 | − | 3.00000i | 0.153960 | − | 0.115470i | ||||
\(676\) | −12.0000 | −0.461538 | ||||||||
\(677\) | − | 33.0000i | − | 1.26829i | −0.773213 | − | 0.634147i | \(-0.781352\pi\) | ||
0.773213 | − | 0.634147i | \(-0.218648\pi\) | |||||||
\(678\) | − | 6.00000i | − | 0.230429i | ||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.00000 | + | 2.00000i | 0.153393 | + | 0.0766965i | ||||
\(681\) | 14.0000 | 0.536481 | ||||||||
\(682\) | 30.0000i | 1.14876i | ||||||||
\(683\) | 4.00000i | 0.153056i | 0.997067 | + | 0.0765279i | \(0.0243834\pi\) | ||||
−0.997067 | + | 0.0765279i | \(0.975617\pi\) | |||||||
\(684\) | 7.00000 | 0.267652 | ||||||||
\(685\) | −4.00000 | + | 8.00000i | −0.152832 | + | 0.305664i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 4.00000i | − | 0.152610i | ||||||
\(688\) | − | 10.0000i | − | 0.381246i | ||||||
\(689\) | −1.00000 | −0.0380970 | ||||||||
\(690\) | −3.00000 | + | 6.00000i | −0.114208 | + | 0.228416i | ||||
\(691\) | 20.0000 | 0.760836 | 0.380418 | − | 0.924815i | \(-0.375780\pi\) | ||||
0.380418 | + | 0.924815i | \(0.375780\pi\) | |||||||
\(692\) | − | 7.00000i | − | 0.266100i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −16.0000 | −0.607352 | ||||||||
\(695\) | 16.0000 | + | 8.00000i | 0.606915 | + | 0.303457i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.0000i | 0.681799i | ||||||||
\(698\) | 24.0000i | 0.908413i | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 18.0000 | 0.679851 | 0.339925 | − | 0.940452i | \(-0.389598\pi\) | ||||
0.339925 | + | 0.940452i | \(0.389598\pi\) | |||||||
\(702\) | − | 1.00000i | − | 0.0377426i | ||||||
\(703\) | − | 35.0000i | − | 1.32005i | ||||||
\(704\) | 5.00000 | 0.188445 | ||||||||
\(705\) | 26.0000 | + | 13.0000i | 0.979217 | + | 0.489608i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | − | 4.00000i | − | 0.150329i | ||||||
\(709\) | −16.0000 | −0.600893 | −0.300446 | − | 0.953799i | \(-0.597136\pi\) | ||||
−0.300446 | + | 0.953799i | \(0.597136\pi\) | |||||||
\(710\) | 2.00000 | − | 4.00000i | 0.0750587 | − | 0.150117i | ||||
\(711\) | −14.0000 | −0.525041 | ||||||||
\(712\) | 10.0000i | 0.374766i | ||||||||
\(713\) | − | 18.0000i | − | 0.674105i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.00000 | + | 10.0000i | −0.186989 | + | 0.373979i | ||||
\(716\) | −11.0000 | −0.411089 | ||||||||
\(717\) | − | 20.0000i | − | 0.746914i | ||||||
\(718\) | − | 28.0000i | − | 1.04495i | ||||||
\(719\) | −2.00000 | −0.0745874 | −0.0372937 | − | 0.999304i | \(-0.511874\pi\) | ||||
−0.0372937 | + | 0.999304i | \(0.511874\pi\) | |||||||
\(720\) | 2.00000 | + | 1.00000i | 0.0745356 | + | 0.0372678i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | − | 30.0000i | − | 1.11648i | ||||||
\(723\) | 1.00000i | 0.0371904i | ||||||||
\(724\) | −2.00000 | −0.0743294 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 14.0000 | 0.519589 | ||||||||
\(727\) | − | 53.0000i | − | 1.96566i | −0.184510 | − | 0.982831i | \(-0.559070\pi\) | ||
0.184510 | − | 0.982831i | \(-0.440930\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −8.00000 | − | 4.00000i | −0.296093 | − | 0.148047i | ||||
\(731\) | 20.0000 | 0.739727 | ||||||||
\(732\) | − | 2.00000i | − | 0.0739221i | ||||||
\(733\) | − | 21.0000i | − | 0.775653i | −0.921732 | − | 0.387826i | \(-0.873226\pi\) | ||
0.921732 | − | 0.387826i | \(-0.126774\pi\) | |||||||
\(734\) | 37.0000 | 1.36569 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.00000 | −0.110581 | ||||||||
\(737\) | − | 30.0000i | − | 1.10506i | ||||||
\(738\) | 9.00000i | 0.331295i | ||||||||
\(739\) | −47.0000 | −1.72892 | −0.864461 | − | 0.502699i | \(-0.832340\pi\) | ||||
−0.864461 | + | 0.502699i | \(0.832340\pi\) | |||||||
\(740\) | 5.00000 | − | 10.0000i | 0.183804 | − | 0.367607i | ||||
\(741\) | −7.00000 | −0.257151 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 31.0000i | 1.13728i | 0.822587 | + | 0.568640i | \(0.192530\pi\) | ||||
−0.822587 | + | 0.568640i | \(0.807470\pi\) | |||||||
\(744\) | −6.00000 | −0.219971 | ||||||||
\(745\) | −12.0000 | − | 6.00000i | −0.439646 | − | 0.219823i | ||||
\(746\) | −6.00000 | −0.219676 | ||||||||
\(747\) | 10.0000i | 0.365881i | ||||||||
\(748\) | 10.0000i | 0.365636i | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −2.00000 | − | 11.0000i | −0.0730297 | − | 0.401663i | ||||
\(751\) | 4.00000 | 0.145962 | 0.0729810 | − | 0.997333i | \(-0.476749\pi\) | ||||
0.0729810 | + | 0.997333i | \(0.476749\pi\) | |||||||
\(752\) | 13.0000i | 0.474061i | ||||||||
\(753\) | 3.00000i | 0.109326i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 44.0000 | + | 22.0000i | 1.60132 | + | 0.800662i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 26.0000i | − | 0.944986i | −0.881334 | − | 0.472493i | \(-0.843354\pi\) | ||
0.881334 | − | 0.472493i | \(-0.156646\pi\) | |||||||
\(758\) | − | 1.00000i | − | 0.0363216i | ||||||
\(759\) | −15.0000 | −0.544466 | ||||||||
\(760\) | 7.00000 | − | 14.0000i | 0.253917 | − | 0.507833i | ||||
\(761\) | 3.00000 | 0.108750 | 0.0543750 | − | 0.998521i | \(-0.482683\pi\) | ||||
0.0543750 | + | 0.998521i | \(0.482683\pi\) | |||||||
\(762\) | 9.00000i | 0.326036i | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 16.0000 | 0.578860 | ||||||||
\(765\) | −2.00000 | + | 4.00000i | −0.0723102 | + | 0.144620i | ||||
\(766\) | −9.00000 | −0.325183 | ||||||||
\(767\) | 4.00000i | 0.144432i | ||||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 51.0000 | 1.83911 | 0.919554 | − | 0.392965i | \(-0.128551\pi\) | ||||
0.919554 | + | 0.392965i | \(0.128551\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.0000 | −0.360141 | ||||||||
\(772\) | − | 18.0000i | − | 0.647834i | ||||||
\(773\) | − | 37.0000i | − | 1.33080i | −0.746488 | − | 0.665399i | \(-0.768262\pi\) | ||
0.746488 | − | 0.665399i | \(-0.231738\pi\) | |||||||
\(774\) | 10.0000 | 0.359443 | ||||||||
\(775\) | 18.0000 | + | 24.0000i | 0.646579 | + | 0.862105i | ||||
\(776\) | 8.00000 | 0.287183 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.00000i | 0.215110i | ||||||||
\(779\) | 63.0000 | 2.25721 | ||||||||
\(780\) | −2.00000 | − | 1.00000i | −0.0716115 | − | 0.0358057i | ||||
\(781\) | 10.0000 | 0.357828 | ||||||||
\(782\) | − | 6.00000i | − | 0.214560i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −13.0000 | + | 26.0000i | −0.463990 | + | 0.927980i | ||||
\(786\) | 17.0000 | 0.606370 | ||||||||
\(787\) | − | 38.0000i | − | 1.35455i | −0.735728 | − | 0.677277i | \(-0.763160\pi\) | ||
0.735728 | − | 0.677277i | \(-0.236840\pi\) | |||||||
\(788\) | 27.0000i | 0.961835i | ||||||||
\(789\) | 24.0000 | 0.854423 | ||||||||
\(790\) | −14.0000 | + | 28.0000i | −0.498098 | + | 0.996195i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 5.00000i | 0.177667i | ||||||||
\(793\) | 2.00000i | 0.0710221i | ||||||||
\(794\) | 2.00000 | 0.0709773 | ||||||||
\(795\) | 2.00000 | + | 1.00000i | 0.0709327 | + | 0.0354663i | ||||
\(796\) | 14.0000 | 0.496217 | ||||||||
\(797\) | 30.0000i | 1.06265i | 0.847167 | + | 0.531327i | \(0.178307\pi\) | ||||
−0.847167 | + | 0.531327i | \(0.821693\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −26.0000 | −0.919814 | ||||||||
\(800\) | 4.00000 | − | 3.00000i | 0.141421 | − | 0.106066i | ||||
\(801\) | −10.0000 | −0.353333 | ||||||||
\(802\) | 27.0000i | 0.953403i | ||||||||
\(803\) | − | 20.0000i | − | 0.705785i | ||||||
\(804\) | 6.00000 | 0.211604 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 6.00000 | 0.211341 | ||||||||
\(807\) | 14.0000i | 0.492823i | ||||||||
\(808\) | − | 8.00000i | − | 0.281439i | ||||||
\(809\) | 9.00000 | 0.316423 | 0.158212 | − | 0.987405i | \(-0.449427\pi\) | ||||
0.158212 | + | 0.987405i | \(0.449427\pi\) | |||||||
\(810\) | −1.00000 | + | 2.00000i | −0.0351364 | + | 0.0702728i | ||||
\(811\) | −11.0000 | −0.386262 | −0.193131 | − | 0.981173i | \(-0.561864\pi\) | ||||
−0.193131 | + | 0.981173i | \(0.561864\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 8.00000i | − | 0.280572i | ||||||
\(814\) | 25.0000 | 0.876250 | ||||||||
\(815\) | 12.0000 | − | 24.0000i | 0.420342 | − | 0.840683i | ||||
\(816\) | −2.00000 | −0.0700140 | ||||||||
\(817\) | − | 70.0000i | − | 2.44899i | ||||||
\(818\) | − | 10.0000i | − | 0.349642i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 18.0000 | + | 9.00000i | 0.628587 | + | 0.314294i | ||||
\(821\) | 6.00000 | 0.209401 | 0.104701 | − | 0.994504i | \(-0.466612\pi\) | ||||
0.104701 | + | 0.994504i | \(0.466612\pi\) | |||||||
\(822\) | − | 4.00000i | − | 0.139516i | ||||||
\(823\) | 8.00000i | 0.278862i | 0.990232 | + | 0.139431i | \(0.0445274\pi\) | ||||
−0.990232 | + | 0.139431i | \(0.955473\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 20.0000 | − | 15.0000i | 0.696311 | − | 0.522233i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 42.0000i | − | 1.46048i | −0.683189 | − | 0.730242i | \(-0.739408\pi\) | ||
0.683189 | − | 0.730242i | \(-0.260592\pi\) | |||||||
\(828\) | − | 3.00000i | − | 0.104257i | ||||||
\(829\) | 2.00000 | 0.0694629 | 0.0347314 | − | 0.999397i | \(-0.488942\pi\) | ||||
0.0347314 | + | 0.999397i | \(0.488942\pi\) | |||||||
\(830\) | 20.0000 | + | 10.0000i | 0.694210 | + | 0.347105i | ||||
\(831\) | −2.00000 | −0.0693792 | ||||||||
\(832\) | − | 1.00000i | − | 0.0346688i | ||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −8.00000 | −0.277017 | ||||||||
\(835\) | 19.0000 | − | 38.0000i | 0.657522 | − | 1.31504i | ||||
\(836\) | 35.0000 | 1.21050 | ||||||||
\(837\) | − | 6.00000i | − | 0.207390i | ||||||
\(838\) | − | 3.00000i | − | 0.103633i | ||||||
\(839\) | 2.00000 | 0.0690477 | 0.0345238 | − | 0.999404i | \(-0.489009\pi\) | ||||
0.0345238 | + | 0.999404i | \(0.489009\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −29.0000 | −1.00000 | ||||||||
\(842\) | 20.0000i | 0.689246i | ||||||||
\(843\) | − | 11.0000i | − | 0.378860i | ||||||
\(844\) | −19.0000 | −0.654007 | ||||||||
\(845\) | −24.0000 | − | 12.0000i | −0.825625 | − | 0.412813i | ||||
\(846\) | −13.0000 | −0.446949 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 1.00000i | 0.0343401i | ||||||||
\(849\) | −26.0000 | −0.892318 | ||||||||
\(850\) | 6.00000 | + | 8.00000i | 0.205798 | + | 0.274398i | ||||
\(851\) | −15.0000 | −0.514193 | ||||||||
\(852\) | 2.00000i | 0.0685189i | ||||||||
\(853\) | − | 49.0000i | − | 1.67773i | −0.544341 | − | 0.838864i | \(-0.683220\pi\) | ||
0.544341 | − | 0.838864i | \(-0.316780\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 14.0000 | + | 7.00000i | 0.478790 | + | 0.239395i | ||||
\(856\) | −12.0000 | −0.410152 | ||||||||
\(857\) | 56.0000i | 1.91292i | 0.291858 | + | 0.956462i | \(0.405727\pi\) | ||||
−0.291858 | + | 0.956462i | \(0.594273\pi\) | |||||||
\(858\) | − | 5.00000i | − | 0.170697i | ||||||
\(859\) | 36.0000 | 1.22830 | 0.614152 | − | 0.789188i | \(-0.289498\pi\) | ||||
0.614152 | + | 0.789188i | \(0.289498\pi\) | |||||||
\(860\) | 10.0000 | − | 20.0000i | 0.340997 | − | 0.681994i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 18.0000i | − | 0.613082i | ||||||
\(863\) | − | 15.0000i | − | 0.510606i | −0.966861 | − | 0.255303i | \(-0.917825\pi\) | ||
0.966861 | − | 0.255303i | \(-0.0821752\pi\) | |||||||
\(864\) | −1.00000 | −0.0340207 | ||||||||
\(865\) | 7.00000 | − | 14.0000i | 0.238007 | − | 0.476014i | ||||
\(866\) | 4.00000 | 0.135926 | ||||||||
\(867\) | 13.0000i | 0.441503i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −70.0000 | −2.37459 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.00000 | −0.203302 | ||||||||
\(872\) | 18.0000i | 0.609557i | ||||||||
\(873\) | 8.00000i | 0.270759i | ||||||||
\(874\) | −21.0000 | −0.710336 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 4.00000 | 0.135147 | ||||||||
\(877\) | − | 27.0000i | − | 0.911725i | −0.890050 | − | 0.455863i | \(-0.849331\pi\) | ||
0.890050 | − | 0.455863i | \(-0.150669\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −1.00000 | −0.0337292 | ||||||||
\(880\) | 10.0000 | + | 5.00000i | 0.337100 | + | 0.168550i | ||||
\(881\) | 3.00000 | 0.101073 | 0.0505363 | − | 0.998722i | \(-0.483907\pi\) | ||||
0.0505363 | + | 0.998722i | \(0.483907\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 52.0000i | 1.74994i | 0.484178 | + | 0.874970i | \(0.339119\pi\) | ||||
−0.484178 | + | 0.874970i | \(0.660881\pi\) | |||||||
\(884\) | 2.00000 | 0.0672673 | ||||||||
\(885\) | 4.00000 | − | 8.00000i | 0.134459 | − | 0.268917i | ||||
\(886\) | 6.00000 | 0.201574 | ||||||||
\(887\) | 12.0000i | 0.402921i | 0.979497 | + | 0.201460i | \(0.0645687\pi\) | ||||
−0.979497 | + | 0.201460i | \(0.935431\pi\) | |||||||
\(888\) | 5.00000i | 0.167789i | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −10.0000 | + | 20.0000i | −0.335201 | + | 0.670402i | ||||
\(891\) | −5.00000 | −0.167506 | ||||||||
\(892\) | − | 16.0000i | − | 0.535720i | ||||||
\(893\) | 91.0000i | 3.04520i | ||||||||
\(894\) | 6.00000 | 0.200670 | ||||||||
\(895\) | −22.0000 | − | 11.0000i | −0.735379 | − | 0.367689i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.00000i | 0.100167i | ||||||||
\(898\) | 9.00000i | 0.300334i | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 3.00000 | + | 4.00000i | 0.100000 | + | 0.133333i | ||||
\(901\) | −2.00000 | −0.0666297 | ||||||||
\(902\) | 45.0000i | 1.49834i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.00000 | 0.199557 | ||||||||
\(905\) | −4.00000 | − | 2.00000i | −0.132964 | − | 0.0664822i | ||||
\(906\) | −22.0000 | −0.730901 | ||||||||
\(907\) | − | 16.0000i | − | 0.531271i | −0.964073 | − | 0.265636i | \(-0.914418\pi\) | ||
0.964073 | − | 0.265636i | \(-0.0855818\pi\) | |||||||
\(908\) | 14.0000i | 0.464606i | ||||||||
\(909\) | 8.00000 | 0.265343 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −6.00000 | −0.198789 | −0.0993944 | − | 0.995048i | \(-0.531691\pi\) | ||||
−0.0993944 | + | 0.995048i | \(0.531691\pi\) | |||||||
\(912\) | 7.00000i | 0.231793i | ||||||||
\(913\) | 50.0000i | 1.65476i | ||||||||
\(914\) | −38.0000 | −1.25693 | ||||||||
\(915\) | 2.00000 | − | 4.00000i | 0.0661180 | − | 0.132236i | ||||
\(916\) | 4.00000 | 0.132164 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | − | 2.00000i | − | 0.0660098i | ||||||
\(919\) | −56.0000 | −1.84727 | −0.923635 | − | 0.383274i | \(-0.874797\pi\) | ||||
−0.923635 | + | 0.383274i | \(0.874797\pi\) | |||||||
\(920\) | −6.00000 | − | 3.00000i | −0.197814 | − | 0.0989071i | ||||
\(921\) | 2.00000 | 0.0659022 | ||||||||
\(922\) | − | 12.0000i | − | 0.395199i | ||||||
\(923\) | − | 2.00000i | − | 0.0658308i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.0000 | − | 15.0000i | 0.657596 | − | 0.493197i | ||||
\(926\) | 15.0000 | 0.492931 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 33.0000 | 1.08269 | 0.541347 | − | 0.840799i | \(-0.317914\pi\) | ||||
0.541347 | + | 0.840799i | \(0.317914\pi\) | |||||||
\(930\) | −12.0000 | − | 6.00000i | −0.393496 | − | 0.196748i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 26.0000i | 0.851202i | ||||||||
\(934\) | −2.00000 | −0.0654420 | ||||||||
\(935\) | −10.0000 | + | 20.0000i | −0.327035 | + | 0.654070i | ||||
\(936\) | 1.00000 | 0.0326860 | ||||||||
\(937\) | 34.0000i | 1.11073i | 0.831606 | + | 0.555366i | \(0.187422\pi\) | ||||
−0.831606 | + | 0.555366i | \(0.812578\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 10.0000 | 0.326338 | ||||||||
\(940\) | −13.0000 | + | 26.0000i | −0.424013 | + | 0.848026i | ||||
\(941\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(942\) | − | 13.0000i | − | 0.423563i | ||||||
\(943\) | − | 27.0000i | − | 0.879241i | ||||||
\(944\) | 4.00000 | 0.130189 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 50.0000 | 1.62564 | ||||||||
\(947\) | 12.0000i | 0.389948i | 0.980808 | + | 0.194974i | \(0.0624622\pi\) | ||||
−0.980808 | + | 0.194974i | \(0.937538\pi\) | |||||||
\(948\) | − | 14.0000i | − | 0.454699i | ||||||
\(949\) | −4.00000 | −0.129845 | ||||||||
\(950\) | 28.0000 | − | 21.0000i | 0.908440 | − | 0.681330i | ||||
\(951\) | −2.00000 | −0.0648544 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 24.0000i | 0.777436i | 0.921357 | + | 0.388718i | \(0.127082\pi\) | ||||
−0.921357 | + | 0.388718i | \(0.872918\pi\) | |||||||
\(954\) | −1.00000 | −0.0323762 | ||||||||
\(955\) | 32.0000 | + | 16.0000i | 1.03550 | + | 0.517748i | ||||
\(956\) | 20.0000 | 0.646846 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 8.00000i | − | 0.258468i | ||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.00000 | + | 2.00000i | −0.0322749 | + | 0.0645497i | ||||
\(961\) | 5.00000 | 0.161290 | ||||||||
\(962\) | − | 5.00000i | − | 0.161206i | ||||||
\(963\) | − | 12.0000i | − | 0.386695i | ||||||
\(964\) | −1.00000 | −0.0322078 | ||||||||
\(965\) | 18.0000 | − | 36.0000i | 0.579441 | − | 1.15888i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 24.0000i | − | 0.771788i | −0.922543 | − | 0.385894i | \(-0.873893\pi\) | ||
0.922543 | − | 0.385894i | \(-0.126107\pi\) | |||||||
\(968\) | 14.0000i | 0.449977i | ||||||||
\(969\) | −14.0000 | −0.449745 | ||||||||
\(970\) | 16.0000 | + | 8.00000i | 0.513729 | + | 0.256865i | ||||
\(971\) | −39.0000 | −1.25157 | −0.625785 | − | 0.779996i | \(-0.715221\pi\) | ||||
−0.625785 | + | 0.779996i | \(0.715221\pi\) | |||||||
\(972\) | − | 1.00000i | − | 0.0320750i | ||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 24.0000 | 0.769010 | ||||||||
\(975\) | −3.00000 | − | 4.00000i | −0.0960769 | − | 0.128103i | ||||
\(976\) | 2.00000 | 0.0640184 | ||||||||
\(977\) | 42.0000i | 1.34370i | 0.740688 | + | 0.671850i | \(0.234500\pi\) | ||||
−0.740688 | + | 0.671850i | \(0.765500\pi\) | |||||||
\(978\) | 12.0000i | 0.383718i | ||||||||
\(979\) | −50.0000 | −1.59801 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −18.0000 | −0.574696 | ||||||||
\(982\) | − | 24.0000i | − | 0.765871i | ||||||
\(983\) | 33.0000i | 1.05254i | 0.850319 | + | 0.526268i | \(0.176409\pi\) | ||||
−0.850319 | + | 0.526268i | \(0.823591\pi\) | |||||||
\(984\) | −9.00000 | −0.286910 | ||||||||
\(985\) | −27.0000 | + | 54.0000i | −0.860292 | + | 1.72058i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | − | 7.00000i | − | 0.222700i | ||||||
\(989\) | −30.0000 | −0.953945 | ||||||||
\(990\) | −5.00000 | + | 10.0000i | −0.158910 | + | 0.317821i | ||||
\(991\) | −36.0000 | −1.14358 | −0.571789 | − | 0.820401i | \(-0.693750\pi\) | ||||
−0.571789 | + | 0.820401i | \(0.693750\pi\) | |||||||
\(992\) | − | 6.00000i | − | 0.190500i | ||||||
\(993\) | − | 15.0000i | − | 0.476011i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 28.0000 | + | 14.0000i | 0.887660 | + | 0.443830i | ||||
\(996\) | −10.0000 | −0.316862 | ||||||||
\(997\) | 10.0000i | 0.316703i | 0.987383 | + | 0.158352i | \(0.0506179\pi\) | ||||
−0.987383 | + | 0.158352i | \(0.949382\pi\) | |||||||
\(998\) | − | 28.0000i | − | 0.886325i | ||||||
\(999\) | −5.00000 | −0.158193 |
(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.a.589.1 | 2 | ||
5.2 | odd | 4 | 7350.2.a.ch.1.1 | 1 | |||
5.3 | odd | 4 | 7350.2.a.b.1.1 | 1 | |||
5.4 | even | 2 | inner | 1470.2.g.a.589.2 | 2 | ||
7.2 | even | 3 | 1470.2.n.i.949.1 | 4 | |||
7.3 | odd | 6 | 210.2.n.a.79.2 | yes | 4 | ||
7.4 | even | 3 | 1470.2.n.i.79.2 | 4 | |||
7.5 | odd | 6 | 210.2.n.a.109.1 | yes | 4 | ||
7.6 | odd | 2 | 1470.2.g.f.589.1 | 2 | |||
21.5 | even | 6 | 630.2.u.c.109.2 | 4 | |||
21.17 | even | 6 | 630.2.u.c.289.1 | 4 | |||
28.3 | even | 6 | 1680.2.di.a.289.2 | 4 | |||
28.19 | even | 6 | 1680.2.di.a.529.1 | 4 | |||
35.3 | even | 12 | 1050.2.i.o.751.1 | 2 | |||
35.4 | even | 6 | 1470.2.n.i.79.1 | 4 | |||
35.9 | even | 6 | 1470.2.n.i.949.2 | 4 | |||
35.12 | even | 12 | 1050.2.i.f.151.1 | 2 | |||
35.13 | even | 4 | 7350.2.a.t.1.1 | 1 | |||
35.17 | even | 12 | 1050.2.i.f.751.1 | 2 | |||
35.19 | odd | 6 | 210.2.n.a.109.2 | yes | 4 | ||
35.24 | odd | 6 | 210.2.n.a.79.1 | ✓ | 4 | ||
35.27 | even | 4 | 7350.2.a.bn.1.1 | 1 | |||
35.33 | even | 12 | 1050.2.i.o.151.1 | 2 | |||
35.34 | odd | 2 | 1470.2.g.f.589.2 | 2 | |||
105.59 | even | 6 | 630.2.u.c.289.2 | 4 | |||
105.89 | even | 6 | 630.2.u.c.109.1 | 4 | |||
140.19 | even | 6 | 1680.2.di.a.529.2 | 4 | |||
140.59 | even | 6 | 1680.2.di.a.289.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.n.a.79.1 | ✓ | 4 | 35.24 | odd | 6 | ||
210.2.n.a.79.2 | yes | 4 | 7.3 | odd | 6 | ||
210.2.n.a.109.1 | yes | 4 | 7.5 | odd | 6 | ||
210.2.n.a.109.2 | yes | 4 | 35.19 | odd | 6 | ||
630.2.u.c.109.1 | 4 | 105.89 | even | 6 | |||
630.2.u.c.109.2 | 4 | 21.5 | even | 6 | |||
630.2.u.c.289.1 | 4 | 21.17 | even | 6 | |||
630.2.u.c.289.2 | 4 | 105.59 | even | 6 | |||
1050.2.i.f.151.1 | 2 | 35.12 | even | 12 | |||
1050.2.i.f.751.1 | 2 | 35.17 | even | 12 | |||
1050.2.i.o.151.1 | 2 | 35.33 | even | 12 | |||
1050.2.i.o.751.1 | 2 | 35.3 | even | 12 | |||
1470.2.g.a.589.1 | 2 | 1.1 | even | 1 | trivial | ||
1470.2.g.a.589.2 | 2 | 5.4 | even | 2 | inner | ||
1470.2.g.f.589.1 | 2 | 7.6 | odd | 2 | |||
1470.2.g.f.589.2 | 2 | 35.34 | odd | 2 | |||
1470.2.n.i.79.1 | 4 | 35.4 | even | 6 | |||
1470.2.n.i.79.2 | 4 | 7.4 | even | 3 | |||
1470.2.n.i.949.1 | 4 | 7.2 | even | 3 | |||
1470.2.n.i.949.2 | 4 | 35.9 | even | 6 | |||
1680.2.di.a.289.1 | 4 | 140.59 | even | 6 | |||
1680.2.di.a.289.2 | 4 | 28.3 | even | 6 | |||
1680.2.di.a.529.1 | 4 | 28.19 | even | 6 | |||
1680.2.di.a.529.2 | 4 | 140.19 | even | 6 | |||
7350.2.a.b.1.1 | 1 | 5.3 | odd | 4 | |||
7350.2.a.t.1.1 | 1 | 35.13 | even | 4 | |||
7350.2.a.bn.1.1 | 1 | 35.27 | even | 4 | |||
7350.2.a.ch.1.1 | 1 | 5.2 | odd | 4 |