Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6012,2,Mod(1,6012)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6012, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6012.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6012 = 2^{2} \cdot 3^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6012.a (trivial) |
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: | yes |
Analytic conductor: | \(48.0060616952\) |
Analytic rank: | \(1\) |
Dimension: | \(3\) |
Coefficient field: | 3.3.148.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - x^{2} - 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.3 | ||
Root | \(0.311108\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 6012.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.21432 | 0.990274 | 0.495137 | − | 0.868815i | \(-0.335118\pi\) | ||||
0.495137 | + | 0.868815i | \(0.335118\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.42864 | −1.67387 | −0.836934 | − | 0.547304i | \(-0.815654\pi\) | ||||
−0.836934 | + | 0.547304i | \(0.815654\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.903212 | 0.272329 | 0.136164 | − | 0.990686i | \(-0.456522\pi\) | ||||
0.136164 | + | 0.990686i | \(0.456522\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.622216 | 0.172572 | 0.0862858 | − | 0.996270i | \(-0.472500\pi\) | ||||
0.0862858 | + | 0.996270i | \(0.472500\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.21432 | 1.02212 | 0.511061 | − | 0.859544i | \(-0.329252\pi\) | ||||
0.511061 | + | 0.859544i | \(0.329252\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.80642 | −1.33208 | −0.666042 | − | 0.745914i | \(-0.732013\pi\) | ||||
−0.666042 | + | 0.745914i | \(0.732013\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.24443 | −0.259482 | −0.129741 | − | 0.991548i | \(-0.541415\pi\) | ||||
−0.129741 | + | 0.991548i | \(0.541415\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.0967881 | −0.0193576 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 8.85728 | 1.64476 | 0.822378 | − | 0.568942i | \(-0.192647\pi\) | ||||
0.822378 | + | 0.568942i | \(0.192647\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.05086 | −0.547950 | −0.273975 | − | 0.961737i | \(-0.588339\pi\) | ||||
−0.273975 | + | 0.961737i | \(0.588339\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −9.80642 | −1.65759 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.18421 | −0.194683 | −0.0973413 | − | 0.995251i | \(-0.531034\pi\) | ||||
−0.0973413 | + | 0.995251i | \(0.531034\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.02074 | 0.315587 | 0.157794 | − | 0.987472i | \(-0.449562\pi\) | ||||
0.157794 | + | 0.987472i | \(0.449562\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.83654 | −1.34756 | −0.673780 | − | 0.738932i | \(-0.735330\pi\) | ||||
−0.673780 | + | 0.738932i | \(0.735330\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 3.09679 | 0.451713 | 0.225856 | − | 0.974161i | \(-0.427482\pi\) | ||||
0.225856 | + | 0.974161i | \(0.427482\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 12.6128 | 1.80184 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.34767 | −0.597199 | −0.298599 | − | 0.954379i | \(-0.596519\pi\) | ||||
−0.298599 | + | 0.954379i | \(0.596519\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.00000 | 0.269680 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −12.4286 | −1.61807 | −0.809036 | − | 0.587760i | \(-0.800010\pi\) | ||||
−0.809036 | + | 0.587760i | \(0.800010\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.90321 | −0.371718 | −0.185859 | − | 0.982576i | \(-0.559507\pi\) | ||||
−0.185859 | + | 0.982576i | \(0.559507\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.37778 | 0.170893 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.59210 | 0.683184 | 0.341592 | − | 0.939848i | \(-0.389034\pi\) | ||||
0.341592 | + | 0.939848i | \(0.389034\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −4.00000 | −0.474713 | −0.237356 | − | 0.971423i | \(-0.576281\pi\) | ||||
−0.237356 | + | 0.971423i | \(0.576281\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.80642 | −0.913673 | −0.456836 | − | 0.889551i | \(-0.651018\pi\) | ||||
−0.456836 | + | 0.889551i | \(0.651018\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.00000 | −0.455842 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.72546 | 0.194129 | 0.0970646 | − | 0.995278i | \(-0.469055\pi\) | ||||
0.0970646 | + | 0.995278i | \(0.469055\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 7.47949 | 0.820981 | 0.410491 | − | 0.911865i | \(-0.365357\pi\) | ||||
0.410491 | + | 0.911865i | \(0.365357\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.33185 | 1.01218 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.85728 | 0.514871 | 0.257435 | − | 0.966296i | \(-0.417123\pi\) | ||||
0.257435 | + | 0.966296i | \(0.417123\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.75557 | −0.288862 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −12.8573 | −1.31913 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.28592 | −0.739773 | −0.369886 | − | 0.929077i | \(-0.620603\pi\) | ||||
−0.369886 | + | 0.929077i | \(0.620603\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 13.2652 | 1.31993 | 0.659967 | − | 0.751294i | \(-0.270570\pi\) | ||||
0.659967 | + | 0.751294i | \(0.270570\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.64296 | −0.457484 | −0.228742 | − | 0.973487i | \(-0.573461\pi\) | ||||
−0.228742 | + | 0.973487i | \(0.573461\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.46520 | −0.915036 | −0.457518 | − | 0.889200i | \(-0.651261\pi\) | ||||
−0.457518 | + | 0.889200i | \(0.651261\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.42864 | −0.615752 | −0.307876 | − | 0.951426i | \(-0.599618\pi\) | ||||
−0.307876 | + | 0.951426i | \(0.599618\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.44938 | 0.418563 | 0.209281 | − | 0.977855i | \(-0.432888\pi\) | ||||
0.209281 | + | 0.977855i | \(0.432888\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.75557 | −0.256958 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −18.6637 | −1.71090 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.1842 | −0.925837 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −11.2859 | −1.00944 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.62222 | 0.232684 | 0.116342 | − | 0.993209i | \(-0.462883\pi\) | ||||
0.116342 | + | 0.993209i | \(0.462883\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.67307 | −0.495658 | −0.247829 | − | 0.968804i | \(-0.579717\pi\) | ||||
−0.247829 | + | 0.968804i | \(0.579717\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 25.7146 | 2.22973 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −12.4286 | −1.06185 | −0.530925 | − | 0.847419i | \(-0.678155\pi\) | ||||
−0.530925 | + | 0.847419i | \(0.678155\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −13.7857 | −1.16929 | −0.584643 | − | 0.811291i | \(-0.698765\pi\) | ||||
−0.584643 | + | 0.811291i | \(0.698765\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.561993 | 0.0469962 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 19.6128 | 1.62876 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −10.5827 | −0.866972 | −0.433486 | − | 0.901160i | \(-0.642717\pi\) | ||||
−0.433486 | + | 0.901160i | \(0.642717\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 13.6938 | 1.11439 | 0.557193 | − | 0.830383i | \(-0.311878\pi\) | ||||
0.557193 | + | 0.830383i | \(0.311878\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.75557 | −0.542620 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.28592 | 0.262245 | 0.131122 | − | 0.991366i | \(-0.458142\pi\) | ||||
0.131122 | + | 0.991366i | \(0.458142\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.51114 | 0.434338 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.31603 | −0.651362 | −0.325681 | − | 0.945480i | \(-0.605594\pi\) | ||||
−0.325681 | + | 0.945480i | \(0.605594\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.00000 | 0.0773823 | ||||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.6128 | −0.970219 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −21.8064 | −1.65791 | −0.828956 | − | 0.559314i | \(-0.811065\pi\) | ||||
−0.828956 | + | 0.559314i | \(0.811065\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.428639 | 0.0324021 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 25.9813 | 1.94193 | 0.970965 | − | 0.239220i | \(-0.0768917\pi\) | ||||
0.970965 | + | 0.239220i | \(0.0768917\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.1985 | −1.42701 | −0.713507 | − | 0.700649i | \(-0.752894\pi\) | ||||
−0.713507 | + | 0.700649i | \(0.752894\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.62222 | −0.192789 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.80642 | 0.278353 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.9541 | −0.864966 | −0.432483 | − | 0.901642i | \(-0.642362\pi\) | ||||
−0.432483 | + | 0.901642i | \(0.642362\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −20.6637 | −1.48741 | −0.743703 | − | 0.668510i | \(-0.766932\pi\) | ||||
−0.743703 | + | 0.668510i | \(0.766932\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −25.7353 | −1.83356 | −0.916782 | − | 0.399388i | \(-0.869223\pi\) | ||||
−0.916782 | + | 0.399388i | \(0.869223\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.3368 | 1.15808 | 0.579042 | − | 0.815298i | \(-0.303427\pi\) | ||||
0.579042 | + | 0.815298i | \(0.303427\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −39.2257 | −2.75310 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.47457 | 0.312518 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −5.24443 | −0.362765 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 19.9081 | 1.37053 | 0.685266 | − | 0.728293i | \(-0.259686\pi\) | ||||
0.685266 | + | 0.728293i | \(0.259686\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −19.5669 | −1.33445 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 13.5111 | 0.917196 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.62222 | 0.176389 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.32693 | 0.423683 | 0.211841 | − | 0.977304i | \(-0.432054\pi\) | ||||
0.211841 | + | 0.977304i | \(0.432054\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −6.62222 | −0.439532 | −0.219766 | − | 0.975553i | \(-0.570529\pi\) | ||||
−0.219766 | + | 0.975553i | \(0.570529\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −18.9032 | −1.24916 | −0.624580 | − | 0.780961i | \(-0.714730\pi\) | ||||
−0.624580 | + | 0.780961i | \(0.714730\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 19.0923 | 1.25078 | 0.625390 | − | 0.780312i | \(-0.284940\pi\) | ||||
0.625390 | + | 0.780312i | \(0.284940\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.85728 | 0.447320 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.68736 | −0.497254 | −0.248627 | − | 0.968599i | \(-0.579979\pi\) | ||||
−0.248627 | + | 0.968599i | \(0.579979\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.1526 | 0.718400 | 0.359200 | − | 0.933261i | \(-0.383050\pi\) | ||||
0.359200 | + | 0.933261i | \(0.383050\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 27.9289 | 1.78431 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.61285 | −0.229880 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −15.8666 | −1.00149 | −0.500747 | − | 0.865594i | \(-0.666941\pi\) | ||||
−0.500747 | + | 0.865594i | \(0.666941\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.12399 | −0.0706643 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 1.91903 | 0.119706 | 0.0598530 | − | 0.998207i | \(-0.480937\pi\) | ||||
0.0598530 | + | 0.998207i | \(0.480937\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.24443 | 0.325873 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −16.1334 | −0.994825 | −0.497413 | − | 0.867514i | \(-0.665716\pi\) | ||||
−0.497413 | + | 0.867514i | \(0.665716\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.62714 | −0.591390 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.06223 | 0.369621 | 0.184810 | − | 0.982774i | \(-0.440833\pi\) | ||||
0.184810 | + | 0.982774i | \(0.440833\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.91903 | 0.238064 | 0.119032 | − | 0.992890i | \(-0.462021\pi\) | ||||
0.119032 | + | 0.992890i | \(0.462021\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.0874201 | −0.00527163 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 25.6543 | 1.54142 | 0.770710 | − | 0.637186i | \(-0.219902\pi\) | ||||
0.770710 | + | 0.637186i | \(0.219902\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −11.7462 | −0.700720 | −0.350360 | − | 0.936615i | \(-0.613941\pi\) | ||||
−0.350360 | + | 0.936615i | \(0.613941\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.295286 | −0.0175530 | −0.00877648 | − | 0.999961i | \(-0.502794\pi\) | ||||
−0.00877648 | + | 0.999961i | \(0.502794\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −8.94914 | −0.528251 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.760491 | 0.0447348 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −1.24443 | −0.0727005 | −0.0363502 | − | 0.999339i | \(-0.511573\pi\) | ||||
−0.0363502 | + | 0.999339i | \(0.511573\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −27.5210 | −1.60233 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.774305 | −0.0447792 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 39.1338 | 2.25564 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.42864 | −0.368103 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.7669 | −0.899867 | −0.449934 | − | 0.893062i | \(-0.648552\pi\) | ||||
−0.449934 | + | 0.893062i | \(0.648552\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −16.1334 | −0.914839 | −0.457419 | − | 0.889251i | \(-0.651226\pi\) | ||||
−0.457419 | + | 0.889251i | \(0.651226\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 25.2257 | 1.42584 | 0.712920 | − | 0.701245i | \(-0.247372\pi\) | ||||
0.712920 | + | 0.701245i | \(0.247372\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −17.4193 | −0.978364 | −0.489182 | − | 0.872182i | \(-0.662705\pi\) | ||||
−0.489182 | + | 0.872182i | \(0.662705\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.00000 | 0.447914 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −24.4701 | −1.36155 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.0602231 | −0.00334057 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −13.7146 | −0.756108 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.65233 | 0.420610 | 0.210305 | − | 0.977636i | \(-0.432554\pi\) | ||||
0.210305 | + | 0.977636i | \(0.432554\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 12.3827 | 0.676540 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.30465 | 0.0710690 | 0.0355345 | − | 0.999368i | \(-0.488687\pi\) | ||||
0.0355345 | + | 0.999368i | \(0.488687\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.75557 | −0.149222 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −24.8573 | −1.34217 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −9.67307 | −0.519278 | −0.259639 | − | 0.965706i | \(-0.583604\pi\) | ||||
−0.259639 | + | 0.965706i | \(0.583604\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −17.1842 | −0.919850 | −0.459925 | − | 0.887958i | \(-0.652124\pi\) | ||||
−0.459925 | + | 0.887958i | \(0.652124\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 20.7239 | 1.10302 | 0.551512 | − | 0.834167i | \(-0.314051\pi\) | ||||
0.551512 | + | 0.834167i | \(0.314051\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.85728 | −0.470096 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 19.3461 | 1.02105 | 0.510525 | − | 0.859863i | \(-0.329451\pi\) | ||||
0.510525 | + | 0.859863i | \(0.329451\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.7146 | 0.774450 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −17.2859 | −0.904786 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −13.6860 | −0.714402 | −0.357201 | − | 0.934027i | \(-0.616269\pi\) | ||||
−0.357201 | + | 0.934027i | \(0.616269\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 19.2543 | 0.999632 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.4795 | −0.905054 | −0.452527 | − | 0.891751i | \(-0.649477\pi\) | ||||
−0.452527 | + | 0.891751i | \(0.649477\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5.51114 | 0.283838 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 18.7763 | 0.964474 | 0.482237 | − | 0.876041i | \(-0.339824\pi\) | ||||
0.482237 | + | 0.876041i | \(0.339824\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −21.3733 | −1.09213 | −0.546063 | − | 0.837744i | \(-0.683874\pi\) | ||||
−0.546063 | + | 0.837744i | \(0.683874\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.85728 | −0.451409 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 9.65233 | 0.489392 | 0.244696 | − | 0.969600i | \(-0.421312\pi\) | ||||
0.244696 | + | 0.969600i | \(0.421312\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.24443 | −0.265222 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 3.82071 | 0.192241 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.5161 | 1.13005 | 0.565024 | − | 0.825074i | \(-0.308867\pi\) | ||||
0.565024 | + | 0.825074i | \(0.308867\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −30.0939 | −1.50282 | −0.751408 | − | 0.659838i | \(-0.770625\pi\) | ||||
−0.751408 | + | 0.659838i | \(0.770625\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.89829 | −0.0945605 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.06959 | −0.0530177 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.3921 | −0.859983 | −0.429991 | − | 0.902833i | \(-0.641483\pi\) | ||||
−0.429991 | + | 0.902833i | \(0.641483\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 55.0420 | 2.70844 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.5620 | 0.812996 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 19.9541 | 0.974820 | 0.487410 | − | 0.873173i | \(-0.337942\pi\) | ||||
0.487410 | + | 0.873173i | \(0.337942\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 15.0192 | 0.731992 | 0.365996 | − | 0.930616i | \(-0.380728\pi\) | ||||
0.365996 | + | 0.930616i | \(0.380728\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.407896 | −0.0197859 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.8573 | 0.622207 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −17.5812 | −0.846857 | −0.423428 | − | 0.905930i | \(-0.639173\pi\) | ||||
−0.423428 | + | 0.905930i | \(0.639173\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.2208 | −0.491179 | −0.245590 | − | 0.969374i | \(-0.578982\pi\) | ||||
−0.245590 | + | 0.969374i | \(0.578982\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 7.22570 | 0.345652 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.91903 | −0.282500 | −0.141250 | − | 0.989974i | \(-0.545112\pi\) | ||||
−0.141250 | + | 0.989974i | \(0.545112\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 37.1022 | 1.76278 | 0.881389 | − | 0.472391i | \(-0.156609\pi\) | ||||
0.881389 | + | 0.472391i | \(0.156609\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.7556 | 0.509863 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 13.9398 | 0.657859 | 0.328929 | − | 0.944355i | \(-0.393312\pi\) | ||||
0.328929 | + | 0.944355i | \(0.393312\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.82516 | 0.0859434 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −6.10171 | −0.286053 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.47013 | 0.115548 | 0.0577738 | − | 0.998330i | \(-0.481600\pi\) | ||||
0.0577738 | + | 0.998330i | \(0.481600\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.8479 | 1.01756 | 0.508779 | − | 0.860897i | \(-0.330097\pi\) | ||||
0.508779 | + | 0.860897i | \(0.330097\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −38.1956 | −1.77510 | −0.887550 | − | 0.460712i | \(-0.847594\pi\) | ||||
−0.887550 | + | 0.460712i | \(0.847594\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 6.36842 | 0.294695 | 0.147348 | − | 0.989085i | \(-0.452926\pi\) | ||||
0.147348 | + | 0.989085i | \(0.452926\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −24.7654 | −1.14356 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7.98126 | −0.366979 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.561993 | 0.0257860 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 34.1847 | 1.56194 | 0.780969 | − | 0.624570i | \(-0.214726\pi\) | ||||
0.780969 | + | 0.624570i | \(0.214726\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.736833 | −0.0335967 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −16.1334 | −0.732578 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.7540 | −0.804512 | −0.402256 | − | 0.915527i | \(-0.631774\pi\) | ||||
−0.402256 | + | 0.915527i | \(0.631774\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.32248 | 0.104812 | 0.0524061 | − | 0.998626i | \(-0.483311\pi\) | ||||
0.0524061 | + | 0.998626i | \(0.483311\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 37.3274 | 1.68114 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 17.7146 | 0.794607 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 26.3289 | 1.17865 | 0.589323 | − | 0.807898i | \(-0.299395\pi\) | ||||
0.589323 | + | 0.807898i | \(0.299395\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 3.27163 | 0.145875 | 0.0729373 | − | 0.997337i | \(-0.476763\pi\) | ||||
0.0729373 | + | 0.997337i | \(0.476763\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 29.3733 | 1.30710 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.09234 | 0.137066 | 0.0685328 | − | 0.997649i | \(-0.478168\pi\) | ||||
0.0685328 | + | 0.997649i | \(0.478168\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 34.5718 | 1.52937 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −10.2810 | −0.453035 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.79706 | 0.123014 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −15.5605 | −0.681716 | −0.340858 | − | 0.940115i | \(-0.610718\pi\) | ||||
−0.340858 | + | 0.940115i | \(0.610718\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.82870 | 0.211144 | 0.105572 | − | 0.994412i | \(-0.466333\pi\) | ||||
0.105572 | + | 0.994412i | \(0.466333\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −12.8573 | −0.560072 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.4514 | −0.932669 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 1.25734 | 0.0544614 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −20.9590 | −0.906136 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 11.3921 | 0.490691 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −32.4385 | −1.39464 | −0.697320 | − | 0.716760i | \(-0.745624\pi\) | ||||
−0.697320 | + | 0.716760i | \(0.745624\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −14.2351 | −0.609763 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.39853 | 0.145311 | 0.0726553 | − | 0.997357i | \(-0.476853\pi\) | ||||
0.0726553 | + | 0.997357i | \(0.476853\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −51.4291 | −2.19095 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.64143 | −0.324947 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 37.9398 | 1.60756 | 0.803780 | − | 0.594927i | \(-0.202819\pi\) | ||||
0.803780 | + | 0.594927i | \(0.202819\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.49823 | −0.232550 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 3.21279 | 0.135403 | 0.0677014 | − | 0.997706i | \(-0.478433\pi\) | ||||
0.0677014 | + | 0.997706i | \(0.478433\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.85236 | 0.414492 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 15.7255 | 0.659245 | 0.329623 | − | 0.944113i | \(-0.393078\pi\) | ||||
0.329623 | + | 0.944113i | \(0.393078\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −34.2973 | −1.43530 | −0.717649 | − | 0.696405i | \(-0.754782\pi\) | ||||
−0.717649 | + | 0.696405i | \(0.754782\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.120446 | 0.00502295 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −29.9541 | −1.24700 | −0.623502 | − | 0.781822i | \(-0.714291\pi\) | ||||
−0.623502 | + | 0.781822i | \(0.714291\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −33.1240 | −1.37421 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.92687 | −0.162634 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 26.8256 | 1.10721 | 0.553606 | − | 0.832779i | \(-0.313251\pi\) | ||||
0.553606 | + | 0.832779i | \(0.313251\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 17.7146 | 0.729916 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 21.5190 | 0.883678 | 0.441839 | − | 0.897094i | \(-0.354326\pi\) | ||||
0.441839 | + | 0.897094i | \(0.354326\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −41.3274 | −1.69426 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1.71456 | 0.0700549 | 0.0350275 | − | 0.999386i | \(-0.488848\pi\) | ||||
0.0350275 | + | 0.999386i | \(0.488848\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.488863 | −0.0199411 | −0.00997056 | − | 0.999950i | \(-0.503174\pi\) | ||||
−0.00997056 | + | 0.999950i | \(0.503174\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −22.5511 | −0.916832 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −31.9704 | −1.29764 | −0.648819 | − | 0.760943i | \(-0.724737\pi\) | ||||
−0.648819 | + | 0.760943i | \(0.724737\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.92687 | 0.0779528 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.0558 | −0.971604 | −0.485802 | − | 0.874069i | \(-0.661472\pi\) | ||||
−0.485802 | + | 0.874069i | \(0.661472\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −45.1526 | −1.81777 | −0.908887 | − | 0.417043i | \(-0.863067\pi\) | ||||
−0.908887 | + | 0.417043i | \(0.863067\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.1037 | 1.20997 | 0.604985 | − | 0.796237i | \(-0.293179\pi\) | ||||
0.604985 | + | 0.796237i | \(0.293179\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −21.5111 | −0.861826 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.5067 | −0.980268 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −4.99063 | −0.198990 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.7275 | −1.34267 | −0.671335 | − | 0.741154i | \(-0.734279\pi\) | ||||
−0.671335 | + | 0.741154i | \(0.734279\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 5.80642 | 0.230421 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.84791 | 0.310946 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −20.2242 | −0.798806 | −0.399403 | − | 0.916775i | \(-0.630783\pi\) | ||||
−0.399403 | + | 0.916775i | \(0.630783\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 45.8084 | 1.80651 | 0.903254 | − | 0.429106i | \(-0.141171\pi\) | ||||
0.903254 | + | 0.429106i | \(0.141171\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −27.4291 | −1.07835 | −0.539175 | − | 0.842194i | \(-0.681264\pi\) | ||||
−0.539175 | + | 0.842194i | \(0.681264\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −11.2257 | −0.440647 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −1.53972 | −0.0602538 | −0.0301269 | − | 0.999546i | \(-0.509591\pi\) | ||||
−0.0301269 | + | 0.999546i | \(0.509591\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −12.5620 | −0.490838 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 28.7783 | 1.12104 | 0.560522 | − | 0.828139i | \(-0.310600\pi\) | ||||
0.560522 | + | 0.828139i | \(0.310600\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −12.2065 | −0.474777 | −0.237389 | − | 0.971415i | \(-0.576291\pi\) | ||||
−0.237389 | + | 0.971415i | \(0.576291\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 56.9403 | 2.20805 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −11.0223 | −0.426784 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.62222 | −0.101230 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.3684 | −0.630956 | −0.315478 | − | 0.948933i | \(-0.602165\pi\) | ||||
−0.315478 | + | 0.948933i | \(0.602165\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −41.7975 | −1.60641 | −0.803205 | − | 0.595703i | \(-0.796874\pi\) | ||||
−0.803205 | + | 0.595703i | \(0.796874\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 32.2667 | 1.23828 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 44.3368 | 1.69650 | 0.848250 | − | 0.529596i | \(-0.177657\pi\) | ||||
0.848250 | + | 0.529596i | \(0.177657\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −27.5210 | −1.05152 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.70519 | −0.103060 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.4588 | −0.816329 | −0.408165 | − | 0.912908i | \(-0.633831\pi\) | ||||
−0.408165 | + | 0.912908i | \(0.633831\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −30.5259 | −1.15791 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.51606 | 0.322569 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.40006 | 0.317266 | 0.158633 | − | 0.987338i | \(-0.449291\pi\) | ||||
0.158633 | + | 0.987338i | \(0.449291\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.87601 | 0.259334 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −58.7467 | −2.20940 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.64449 | −0.136872 | −0.0684359 | − | 0.997656i | \(-0.521801\pi\) | ||||
−0.0684359 | + | 0.997656i | \(0.521801\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 3.79658 | 0.142183 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.24443 | 0.0465391 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.48886 | 0.0928189 | 0.0464095 | − | 0.998923i | \(-0.485222\pi\) | ||||
0.0464095 | + | 0.998923i | \(0.485222\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 20.5620 | 0.765769 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.857279 | −0.0318385 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.8968 | 0.404138 | 0.202069 | − | 0.979371i | \(-0.435233\pi\) | ||||
0.202069 | + | 0.979371i | \(0.435233\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −37.2400 | −1.37737 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 13.0968 | 0.483741 | 0.241870 | − | 0.970309i | \(-0.422239\pi\) | ||||
0.241870 | + | 0.970309i | \(0.422239\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 5.05086 | 0.186051 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.2973 | −0.599506 | −0.299753 | − | 0.954017i | \(-0.596904\pi\) | ||||
−0.299753 | + | 0.954017i | \(0.596904\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −14.3684 | −0.527126 | −0.263563 | − | 0.964642i | \(-0.584898\pi\) | ||||
−0.263563 | + | 0.964642i | \(0.584898\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −23.4336 | −0.858539 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 41.9180 | 1.53165 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.56046 | −0.348866 | −0.174433 | − | 0.984669i | \(-0.555809\pi\) | ||||
−0.174433 | + | 0.984669i | \(0.555809\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 30.3225 | 1.10355 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −8.83854 | −0.321242 | −0.160621 | − | 0.987016i | \(-0.551350\pi\) | ||||
−0.160621 | + | 0.987016i | \(0.551350\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.9911 | −0.434677 | −0.217339 | − | 0.976096i | \(-0.569738\pi\) | ||||
−0.217339 | + | 0.976096i | \(0.569738\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 28.4701 | 1.03069 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −7.73329 | −0.279233 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.4889 | 0.883091 | 0.441545 | − | 0.897239i | \(-0.354430\pi\) | ||||
0.441545 | + | 0.897239i | \(0.354430\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 3.85881 | 0.138792 | 0.0693959 | − | 0.997589i | \(-0.477893\pi\) | ||||
0.0693959 | + | 0.997589i | \(0.477893\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.295286 | 0.0106070 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −11.7333 | −0.420389 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.61285 | −0.129278 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 7.27607 | 0.259694 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 37.8272 | 1.34839 | 0.674196 | − | 0.738552i | \(-0.264490\pi\) | ||||
0.674196 | + | 0.738552i | \(0.264490\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −19.7047 | −0.700619 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.80642 | −0.0641480 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −27.4686 | −0.972988 | −0.486494 | − | 0.873684i | \(-0.661724\pi\) | ||||
−0.486494 | + | 0.873684i | \(0.661724\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 13.0509 | 0.461706 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.05086 | −0.248819 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.2034 | 0.430114 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 47.7748 | 1.67967 | 0.839836 | − | 0.542840i | \(-0.182651\pi\) | ||||
0.839836 | + | 0.542840i | \(0.182651\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −6.89676 | −0.242178 | −0.121089 | − | 0.992642i | \(-0.538639\pi\) | ||||
−0.121089 | + | 0.992642i | \(0.538639\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −18.4143 | −0.645027 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 51.3087 | 1.79506 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 0.734825 | 0.0256456 | 0.0128228 | − | 0.999918i | \(-0.495918\pi\) | ||||
0.0128228 | + | 0.999918i | \(0.495918\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 29.5288 | 1.02931 | 0.514655 | − | 0.857397i | \(-0.327920\pi\) | ||||
0.514655 | + | 0.857397i | \(0.327920\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −44.4197 | −1.54463 | −0.772313 | − | 0.635242i | \(-0.780900\pi\) | ||||
−0.772313 | + | 0.635242i | \(0.780900\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −13.5714 | −0.471353 | −0.235676 | − | 0.971832i | \(-0.575731\pi\) | ||||
−0.235676 | + | 0.971832i | \(0.575731\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 53.1546 | 1.84170 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.21432 | 0.0766297 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −17.8524 | −0.616332 | −0.308166 | − | 0.951333i | \(-0.599715\pi\) | ||||
−0.308166 | + | 0.951333i | \(0.599715\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 49.4514 | 1.70522 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −27.9289 | −0.960783 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 45.1022 | 1.54973 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.47367 | 0.0505166 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −16.1762 | −0.553863 | −0.276932 | − | 0.960890i | \(-0.589318\pi\) | ||||
−0.276932 | + | 0.960890i | \(0.589318\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 51.9081 | 1.77315 | 0.886574 | − | 0.462587i | \(-0.153079\pi\) | ||||
0.886574 | + | 0.462587i | \(0.153079\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 5.46076 | 0.186319 | 0.0931593 | − | 0.995651i | \(-0.470303\pi\) | ||||
0.0931593 | + | 0.995651i | \(0.470303\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −22.5018 | −0.765969 | −0.382985 | − | 0.923755i | \(-0.625104\pi\) | ||||
−0.382985 | + | 0.923755i | \(0.625104\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −48.2864 | −1.64179 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.55845 | 0.0528669 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.47949 | 0.117898 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 49.9813 | 1.68968 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −38.7783 | −1.30945 | −0.654725 | − | 0.755867i | \(-0.727216\pi\) | ||||
−0.654725 | + | 0.755867i | \(0.727216\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −3.07160 | −0.103485 | −0.0517424 | − | 0.998660i | \(-0.516477\pi\) | ||||
−0.0517424 | + | 0.998660i | \(0.516477\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 19.7877 | 0.665909 | 0.332954 | − | 0.942943i | \(-0.391954\pi\) | ||||
0.332954 | + | 0.942943i | \(0.391954\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 33.5655 | 1.12702 | 0.563510 | − | 0.826109i | \(-0.309451\pi\) | ||||
0.563510 | + | 0.826109i | \(0.309451\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −11.6128 | −0.389482 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −17.9813 | −0.601720 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 57.5308 | 1.92304 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −27.0223 | −0.901243 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −18.3225 | −0.610410 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −42.5116 | −1.41313 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.8666 | 0.659661 | 0.329831 | − | 0.944040i | \(-0.393008\pi\) | ||||
0.329831 | + | 0.944040i | \(0.393008\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −11.0223 | −0.365184 | −0.182592 | − | 0.983189i | \(-0.558449\pi\) | ||||
−0.182592 | + | 0.983189i | \(0.558449\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.75557 | 0.223577 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 25.1240 | 0.829667 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 14.7971 | 0.488110 | 0.244055 | − | 0.969761i | \(-0.421522\pi\) | ||||
0.244055 | + | 0.969761i | \(0.421522\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2.48886 | −0.0819219 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.114617 | 0.00376859 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 30.5807 | 1.00332 | 0.501661 | − | 0.865065i | \(-0.332723\pi\) | ||||
0.501661 | + | 0.865065i | \(0.332723\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −73.2355 | −2.40020 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 8.42864 | 0.275646 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −31.3560 | −1.02436 | −0.512178 | − | 0.858880i | \(-0.671161\pi\) | ||||
−0.512178 | + | 0.858880i | \(0.671161\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 26.0020 | 0.847641 | 0.423821 | − | 0.905746i | \(-0.360689\pi\) | ||||
0.423821 | + | 0.905746i | \(0.360689\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.51468 | −0.0818891 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −33.4938 | −1.08840 | −0.544201 | − | 0.838955i | \(-0.683167\pi\) | ||||
−0.544201 | + | 0.838955i | \(0.683167\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.85728 | −0.157674 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 18.2429 | 0.590945 | 0.295473 | − | 0.955351i | \(-0.404523\pi\) | ||||
0.295473 | + | 0.955351i | \(0.404523\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −26.4701 | −0.856553 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 55.0420 | 1.77740 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −21.6923 | −0.699751 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −45.7560 | −1.47294 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 31.2958 | 1.00640 | 0.503202 | − | 0.864169i | \(-0.332155\pi\) | ||||
0.503202 | + | 0.864169i | \(0.332155\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 41.9398 | 1.34591 | 0.672956 | − | 0.739683i | \(-0.265024\pi\) | ||||
0.672956 | + | 0.739683i | \(0.265024\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 61.0518 | 1.95723 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −11.4114 | −0.365084 | −0.182542 | − | 0.983198i | \(-0.558433\pi\) | ||||
−0.182542 | + | 0.983198i | \(0.558433\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.38715 | 0.140214 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −27.9911 | −0.892778 | −0.446389 | − | 0.894839i | \(-0.647290\pi\) | ||||
−0.446389 | + | 0.894839i | \(0.647290\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −56.9862 | −1.81573 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 10.9965 | 0.349667 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.33830 | 0.169577 | 0.0847884 | − | 0.996399i | \(-0.472979\pi\) | ||||
0.0847884 | + | 0.996399i | \(0.472979\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 36.1748 | 1.14682 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.8399 | −0.596666 | −0.298333 | − | 0.954462i | \(-0.596431\pi\) | ||||
−0.298333 | + | 0.954462i | \(0.596431\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(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 | 6012.2.a.b.1.3 | ✓ | 3 | |
3.2 | odd | 2 | 6012.2.a.c.1.1 | yes | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6012.2.a.b.1.3 | ✓ | 3 | 1.1 | even | 1 | trivial | |
6012.2.a.c.1.1 | yes | 3 | 3.2 | odd | 2 |