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: | \(0\) |
Dimension: | \(5\) |
Coefficient field: | 5.5.161121.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{5} - x^{4} - 6x^{3} + 3x^{2} + 5x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 2004) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.4 | ||
Root | \(2.56399\) 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 | ||||||||
\(5\) | 1.85181 | 0.828154 | 0.414077 | − | 0.910242i | \(-0.364104\pi\) | ||||
0.414077 | + | 0.910242i | \(0.364104\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.41580 | 0.913086 | 0.456543 | − | 0.889701i | \(-0.349087\pi\) | ||||
0.456543 | + | 0.889701i | \(0.349087\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.49614 | 0.752614 | 0.376307 | − | 0.926495i | \(-0.377194\pi\) | ||||
0.376307 | + | 0.926495i | \(0.377194\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.116176 | 0.0322213 | 0.0161107 | − | 0.999870i | \(-0.494872\pi\) | ||||
0.0161107 | + | 0.999870i | \(0.494872\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 6.12798 | 1.48625 | 0.743127 | − | 0.669151i | \(-0.233342\pi\) | ||||
0.743127 | + | 0.669151i | \(0.233342\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.34227 | −0.766770 | −0.383385 | − | 0.923589i | \(-0.625242\pi\) | ||||
−0.383385 | + | 0.923589i | \(0.625242\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 8.19583 | 1.70895 | 0.854475 | − | 0.519493i | \(-0.173879\pi\) | ||||
0.854475 | + | 0.519493i | \(0.173879\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.57081 | −0.314161 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.0936338 | −0.0173874 | −0.00869368 | − | 0.999962i | \(-0.502767\pi\) | ||||
−0.00869368 | + | 0.999962i | \(0.502767\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.44840 | 0.260140 | 0.130070 | − | 0.991505i | \(-0.458480\pi\) | ||||
0.130070 | + | 0.991505i | \(0.458480\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.47360 | 0.756176 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.230021 | −0.0378152 | −0.0189076 | − | 0.999821i | \(-0.506019\pi\) | ||||
−0.0189076 | + | 0.999821i | \(0.506019\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.49763 | 0.702411 | 0.351206 | − | 0.936298i | \(-0.385772\pi\) | ||||
0.351206 | + | 0.936298i | \(0.385772\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.35233 | 0.816223 | 0.408111 | − | 0.912932i | \(-0.366188\pi\) | ||||
0.408111 | + | 0.912932i | \(0.366188\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.01021 | −1.02254 | −0.511272 | − | 0.859419i | \(-0.670826\pi\) | ||||
−0.511272 | + | 0.859419i | \(0.670826\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.16392 | −0.166274 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −3.67773 | −0.505176 | −0.252588 | − | 0.967574i | \(-0.581282\pi\) | ||||
−0.252588 | + | 0.967574i | \(0.581282\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.62237 | 0.623280 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.76972 | 0.230398 | 0.115199 | − | 0.993342i | \(-0.463249\pi\) | ||||
0.115199 | + | 0.993342i | \(0.463249\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.66144 | 1.10898 | 0.554492 | − | 0.832189i | \(-0.312913\pi\) | ||||
0.554492 | + | 0.832189i | \(0.312913\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.215135 | 0.0266842 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −15.1723 | −1.85359 | −0.926795 | − | 0.375569i | \(-0.877447\pi\) | ||||
−0.926795 | + | 0.375569i | \(0.877447\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 8.51567 | 1.01062 | 0.505312 | − | 0.862937i | \(-0.331377\pi\) | ||||
0.505312 | + | 0.862937i | \(0.331377\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.74977 | 0.555918 | 0.277959 | − | 0.960593i | \(-0.410342\pi\) | ||||
0.277959 | + | 0.960593i | \(0.410342\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.03017 | 0.687201 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.24808 | −0.365437 | −0.182719 | − | 0.983165i | \(-0.558490\pi\) | ||||
−0.182719 | + | 0.983165i | \(0.558490\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.437500 | 0.0480219 | 0.0240109 | − | 0.999712i | \(-0.492356\pi\) | ||||
0.0240109 | + | 0.999712i | \(0.492356\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 11.3478 | 1.23085 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −11.9663 | −1.26842 | −0.634212 | − | 0.773159i | \(-0.718675\pi\) | ||||
−0.634212 | + | 0.773159i | \(0.718675\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.280657 | 0.0294209 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −6.18925 | −0.635004 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.72224 | 0.581005 | 0.290503 | − | 0.956874i | \(-0.406178\pi\) | ||||
0.290503 | + | 0.956874i | \(0.406178\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 18.5958 | 1.85035 | 0.925176 | − | 0.379539i | \(-0.123917\pi\) | ||||
0.925176 | + | 0.379539i | \(0.123917\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −19.3000 | −1.90169 | −0.950843 | − | 0.309674i | \(-0.899780\pi\) | ||||
−0.950843 | + | 0.309674i | \(0.899780\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 18.2861 | 1.76779 | 0.883893 | − | 0.467689i | \(-0.154913\pi\) | ||||
0.883893 | + | 0.467689i | \(0.154913\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −16.0245 | −1.53487 | −0.767435 | − | 0.641127i | \(-0.778467\pi\) | ||||
−0.767435 | + | 0.641127i | \(0.778467\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 9.02419 | 0.848924 | 0.424462 | − | 0.905446i | \(-0.360463\pi\) | ||||
0.424462 | + | 0.905446i | \(0.360463\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 15.1771 | 1.41527 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 14.8040 | 1.35708 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.76930 | −0.433572 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −12.1679 | −1.08833 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.925332 | −0.0821099 | −0.0410550 | − | 0.999157i | \(-0.513072\pi\) | ||||
−0.0410550 | + | 0.999157i | \(0.513072\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −2.88590 | −0.252142 | −0.126071 | − | 0.992021i | \(-0.540237\pi\) | ||||
−0.126071 | + | 0.992021i | \(0.540237\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.07426 | −0.700127 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −18.1131 | −1.54750 | −0.773752 | − | 0.633488i | \(-0.781623\pi\) | ||||
−0.773752 | + | 0.633488i | \(0.781623\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.8150 | 1.25659 | 0.628294 | − | 0.777976i | \(-0.283753\pi\) | ||||
0.628294 | + | 0.777976i | \(0.283753\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.289991 | 0.0242502 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.173392 | −0.0143994 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.577645 | 0.0473225 | 0.0236613 | − | 0.999720i | \(-0.492468\pi\) | ||||
0.0236613 | + | 0.999720i | \(0.492468\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.65587 | −0.134753 | −0.0673766 | − | 0.997728i | \(-0.521463\pi\) | ||||
−0.0673766 | + | 0.997728i | \(0.521463\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.68215 | 0.215436 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.20297 | −0.335434 | −0.167717 | − | 0.985835i | \(-0.553639\pi\) | ||||
−0.167717 | + | 0.985835i | \(0.553639\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 19.7995 | 1.56042 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 20.7509 | 1.62534 | 0.812668 | − | 0.582727i | \(-0.198014\pi\) | ||||
0.812668 | + | 0.582727i | \(0.198014\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.00000 | 0.0773823 | ||||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9865 | −0.998962 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 14.4252 | 1.09673 | 0.548363 | − | 0.836240i | \(-0.315251\pi\) | ||||
0.548363 | + | 0.836240i | \(0.315251\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.79475 | −0.286856 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −21.8860 | −1.63583 | −0.817916 | − | 0.575337i | \(-0.804871\pi\) | ||||
−0.817916 | + | 0.575337i | \(0.804871\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.9551 | −0.814284 | −0.407142 | − | 0.913365i | \(-0.633475\pi\) | ||||
−0.407142 | + | 0.913365i | \(0.633475\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −0.425955 | −0.0313168 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 15.2963 | 1.11857 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.40538 | −0.318762 | −0.159381 | − | 0.987217i | \(-0.550950\pi\) | ||||
−0.159381 | + | 0.987217i | \(0.550950\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2.81738 | 0.202799 | 0.101400 | − | 0.994846i | \(-0.467668\pi\) | ||||
0.101400 | + | 0.994846i | \(0.467668\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −20.7266 | −1.47671 | −0.738353 | − | 0.674414i | \(-0.764396\pi\) | ||||
−0.738353 | + | 0.674414i | \(0.764396\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.813799 | −0.0576887 | −0.0288444 | − | 0.999584i | \(-0.509183\pi\) | ||||
−0.0288444 | + | 0.999584i | \(0.509183\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.226200 | −0.0158762 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.32874 | 0.581705 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −8.34278 | −0.577082 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 27.3088 | 1.88002 | 0.940009 | − | 0.341151i | \(-0.110817\pi\) | ||||
0.940009 | + | 0.341151i | \(0.110817\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 9.91149 | 0.675958 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.49903 | 0.237530 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.711923 | 0.0478891 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.297772 | −0.0199403 | −0.00997015 | − | 0.999950i | \(-0.503174\pi\) | ||||
−0.00997015 | + | 0.999950i | \(0.503174\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.46412 | 0.163550 | 0.0817748 | − | 0.996651i | \(-0.473941\pi\) | ||||
0.0817748 | + | 0.996651i | \(0.473941\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.52769 | 0.497444 | 0.248722 | − | 0.968575i | \(-0.419989\pi\) | ||||
0.248722 | + | 0.968575i | \(0.419989\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −7.47360 | −0.489612 | −0.244806 | − | 0.969572i | \(-0.578724\pi\) | ||||
−0.244806 | + | 0.969572i | \(0.578724\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.9816 | −0.846824 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.2797 | 0.794306 | 0.397153 | − | 0.917752i | \(-0.369998\pi\) | ||||
0.397153 | + | 0.917752i | \(0.369998\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.7966 | −0.824299 | −0.412150 | − | 0.911116i | \(-0.635222\pi\) | ||||
−0.412150 | + | 0.911116i | \(0.635222\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.15535 | −0.137700 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.388291 | −0.0247064 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −13.7924 | −0.870571 | −0.435285 | − | 0.900292i | \(-0.643353\pi\) | ||||
−0.435285 | + | 0.900292i | \(0.643353\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 20.4579 | 1.28618 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 2.03436 | 0.126900 | 0.0634501 | − | 0.997985i | \(-0.479790\pi\) | ||||
0.0634501 | + | 0.997985i | \(0.479790\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.555684 | −0.0345285 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −22.6680 | −1.39777 | −0.698886 | − | 0.715233i | \(-0.746320\pi\) | ||||
−0.698886 | + | 0.715233i | \(0.746320\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.81046 | −0.418363 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 23.5210 | 1.43410 | 0.717052 | − | 0.697020i | \(-0.245491\pi\) | ||||
0.717052 | + | 0.697020i | \(0.245491\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.5238 | 0.943005 | 0.471503 | − | 0.881865i | \(-0.343712\pi\) | ||||
0.471503 | + | 0.881865i | \(0.343712\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.92095 | −0.236442 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.69430 | 0.582474 | 0.291237 | − | 0.956651i | \(-0.405933\pi\) | ||||
0.291237 | + | 0.956651i | \(0.405933\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.65022 | 0.396719 | 0.198359 | − | 0.980129i | \(-0.436439\pi\) | ||||
0.198359 | + | 0.980129i | \(0.436439\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 20.1057 | 1.19516 | 0.597580 | − | 0.801809i | \(-0.296129\pi\) | ||||
0.597580 | + | 0.801809i | \(0.296129\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 10.8654 | 0.641362 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 20.5521 | 1.20895 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.72431 | −0.159156 | −0.0795781 | − | 0.996829i | \(-0.525357\pi\) | ||||
−0.0795781 | + | 0.996829i | \(0.525357\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.27718 | 0.190805 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.952157 | 0.0550646 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.9302 | 0.745282 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 16.0393 | 0.918410 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.63757 | −0.435899 | −0.217950 | − | 0.975960i | \(-0.569937\pi\) | ||||
−0.217950 | + | 0.975960i | \(0.569937\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −19.6655 | −1.11513 | −0.557565 | − | 0.830133i | \(-0.688264\pi\) | ||||
−0.557565 | + | 0.830133i | \(0.688264\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −27.6680 | −1.56389 | −0.781944 | − | 0.623349i | \(-0.785772\pi\) | ||||
−0.781944 | + | 0.623349i | \(0.785772\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −8.67973 | −0.487502 | −0.243751 | − | 0.969838i | \(-0.578378\pi\) | ||||
−0.243751 | + | 0.969838i | \(0.578378\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.233723 | −0.0130860 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −20.4814 | −1.13962 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.182490 | −0.0101227 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −16.9353 | −0.933671 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.1719 | 0.669027 | 0.334513 | − | 0.942391i | \(-0.391428\pi\) | ||||
0.334513 | + | 0.942391i | \(0.391428\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −28.0962 | −1.53506 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.9558 | −0.814692 | −0.407346 | − | 0.913274i | \(-0.633546\pi\) | ||||
−0.407346 | + | 0.913274i | \(0.633546\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.61539 | 0.195785 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.7224 | −1.06491 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 18.7269 | 1.00531 | 0.502655 | − | 0.864487i | \(-0.332356\pi\) | ||||
0.502655 | + | 0.864487i | \(0.332356\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.2459 | 0.816094 | 0.408047 | − | 0.912961i | \(-0.366210\pi\) | ||||
0.408047 | + | 0.912961i | \(0.366210\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 6.76872 | 0.360262 | 0.180131 | − | 0.983643i | \(-0.442348\pi\) | ||||
0.180131 | + | 0.983643i | \(0.442348\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 15.7694 | 0.836952 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10.6775 | 0.563537 | 0.281769 | − | 0.959482i | \(-0.409079\pi\) | ||||
0.281769 | + | 0.959482i | \(0.409079\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.82920 | −0.412063 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.79566 | 0.460386 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.63745 | −0.242073 | −0.121036 | − | 0.992648i | \(-0.538622\pi\) | ||||
−0.121036 | + | 0.992648i | \(0.538622\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −8.88466 | −0.461269 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.0186 | 0.570521 | 0.285260 | − | 0.958450i | \(-0.407920\pi\) | ||||
0.285260 | + | 0.958450i | \(0.407920\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.0108780 | −0.000560244 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 23.2728 | 1.19544 | 0.597721 | − | 0.801705i | \(-0.296073\pi\) | ||||
0.597721 | + | 0.801705i | \(0.296073\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 33.6147 | 1.71763 | 0.858816 | − | 0.512284i | \(-0.171201\pi\) | ||||
0.858816 | + | 0.512284i | \(0.171201\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.1667 | 0.569108 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 22.6735 | 1.14959 | 0.574795 | − | 0.818298i | \(-0.305082\pi\) | ||||
0.574795 | + | 0.818298i | \(0.305082\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 50.2239 | 2.53993 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.01482 | −0.302638 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −32.1120 | −1.61166 | −0.805828 | − | 0.592149i | \(-0.798280\pi\) | ||||
−0.805828 | + | 0.592149i | \(0.798280\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.31642 | 0.265489 | 0.132745 | − | 0.991150i | \(-0.457621\pi\) | ||||
0.132745 | + | 0.991150i | \(0.457621\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.168268 | 0.00838205 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.574164 | −0.0284603 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −28.0684 | −1.38789 | −0.693947 | − | 0.720026i | \(-0.744130\pi\) | ||||
−0.693947 | + | 0.720026i | \(0.744130\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4.27529 | 0.210373 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.810166 | 0.0397695 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.57807 | −0.272506 | −0.136253 | − | 0.990674i | \(-0.543506\pi\) | ||||
−0.136253 | + | 0.990674i | \(0.543506\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.45061 | 0.314383 | 0.157192 | − | 0.987568i | \(-0.449756\pi\) | ||||
0.157192 | + | 0.987568i | \(0.449756\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −9.62587 | −0.466923 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 20.9243 | 1.01260 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 31.4574 | 1.51525 | 0.757624 | − | 0.652692i | \(-0.226360\pi\) | ||||
0.757624 | + | 0.652692i | \(0.226360\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.89285 | 0.475420 | 0.237710 | − | 0.971336i | \(-0.423603\pi\) | ||||
0.237710 | + | 0.971336i | \(0.423603\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −27.3927 | −1.31037 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.9324 | 0.760412 | 0.380206 | − | 0.924902i | \(-0.375853\pi\) | ||||
0.380206 | + | 0.924902i | \(0.375853\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −34.7291 | −1.65003 | −0.825014 | − | 0.565112i | \(-0.808833\pi\) | ||||
−0.825014 | + | 0.565112i | \(0.808833\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −22.1593 | −1.05045 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 22.3182 | 1.05326 | 0.526631 | − | 0.850094i | \(-0.323455\pi\) | ||||
0.526631 | + | 0.850094i | \(0.323455\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.2267 | 0.528645 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.519723 | 0.0243650 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.44665 | 0.161227 | 0.0806137 | − | 0.996745i | \(-0.474312\pi\) | ||||
0.0806137 | + | 0.996745i | \(0.474312\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.03541 | 0.420821 | 0.210411 | − | 0.977613i | \(-0.432520\pi\) | ||||
0.210411 | + | 0.977613i | \(0.432520\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.9438 | −0.601551 | −0.300776 | − | 0.953695i | \(-0.597245\pi\) | ||||
−0.300776 | + | 0.953695i | \(0.597245\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 15.5010 | 0.717303 | 0.358651 | − | 0.933472i | \(-0.383237\pi\) | ||||
0.358651 | + | 0.933472i | \(0.383237\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −36.6532 | −1.69249 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 13.3602 | 0.614300 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.25007 | 0.240890 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 12.8336 | 0.586381 | 0.293190 | − | 0.956054i | \(-0.405283\pi\) | ||||
0.293190 | + | 0.956054i | \(0.405283\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0267229 | −0.00121846 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 10.5965 | 0.481162 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 4.39313 | 0.199072 | 0.0995359 | − | 0.995034i | \(-0.468264\pi\) | ||||
0.0995359 | + | 0.995034i | \(0.468264\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −16.0337 | −0.723593 | −0.361796 | − | 0.932257i | \(-0.617836\pi\) | ||||
−0.361796 | + | 0.932257i | \(0.617836\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.573786 | −0.0258420 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 20.5721 | 0.922786 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 32.1588 | 1.43963 | 0.719813 | − | 0.694168i | \(-0.244228\pi\) | ||||
0.719813 | + | 0.694168i | \(0.244228\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.88618 | −0.351627 | −0.175814 | − | 0.984423i | \(-0.556256\pi\) | ||||
−0.175814 | + | 0.984423i | \(0.556256\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 34.4359 | 1.53238 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −24.9425 | −1.10556 | −0.552779 | − | 0.833328i | \(-0.686432\pi\) | ||||
−0.552779 | + | 0.833328i | \(0.686432\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 11.4745 | 0.507601 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −35.7399 | −1.57489 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −17.4985 | −0.769581 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.76759 | −0.165061 | −0.0825305 | − | 0.996589i | \(-0.526300\pi\) | ||||
−0.0825305 | + | 0.996589i | \(0.526300\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 22.7409 | 0.994389 | 0.497195 | − | 0.867639i | \(-0.334364\pi\) | ||||
0.497195 | + | 0.867639i | \(0.334364\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 8.87574 | 0.386633 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 44.1717 | 1.92051 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.522515 | 0.0226326 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 33.8624 | 1.46400 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.90530 | −0.125140 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.6993 | 0.460000 | 0.230000 | − | 0.973191i | \(-0.426127\pi\) | ||||
0.230000 | + | 0.973191i | \(0.426127\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −29.6743 | −1.27111 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.8098 | −0.889763 | −0.444881 | − | 0.895590i | \(-0.646754\pi\) | ||||
−0.444881 | + | 0.895590i | \(0.646754\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.312950 | 0.0133321 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.84670 | −0.333676 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 21.7669 | 0.922292 | 0.461146 | − | 0.887324i | \(-0.347438\pi\) | ||||
0.461146 | + | 0.887324i | \(0.347438\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.621811 | 0.0262998 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 22.6695 | 0.955404 | 0.477702 | − | 0.878522i | \(-0.341470\pi\) | ||||
0.477702 | + | 0.878522i | \(0.341470\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 16.7111 | 0.703040 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −20.9889 | −0.879898 | −0.439949 | − | 0.898023i | \(-0.645004\pi\) | ||||
−0.439949 | + | 0.898023i | \(0.645004\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 31.4599 | 1.31656 | 0.658278 | − | 0.752775i | \(-0.271285\pi\) | ||||
0.658278 | + | 0.752775i | \(0.271285\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −12.8741 | −0.536885 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.6636 | −1.06839 | −0.534196 | − | 0.845361i | \(-0.679385\pi\) | ||||
−0.534196 | + | 0.845361i | \(0.679385\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.05691 | 0.0438481 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.18013 | −0.380202 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −27.5089 | −1.13542 | −0.567708 | − | 0.823230i | \(-0.692170\pi\) | ||||
−0.567708 | + | 0.823230i | \(0.692170\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.84094 | −0.199467 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 27.4088 | 1.12554 | 0.562772 | − | 0.826612i | \(-0.309735\pi\) | ||||
0.562772 | + | 0.826612i | \(0.309735\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 27.4141 | 1.12387 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −35.6007 | −1.45460 | −0.727302 | − | 0.686317i | \(-0.759226\pi\) | ||||
−0.727302 | + | 0.686317i | \(0.759226\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.45143 | −0.181578 | −0.0907888 | − | 0.995870i | \(-0.528939\pi\) | ||||
−0.0907888 | + | 0.995870i | \(0.528939\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −8.83182 | −0.359065 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −39.6466 | −1.60921 | −0.804604 | − | 0.593812i | \(-0.797622\pi\) | ||||
−0.804604 | + | 0.593812i | \(0.797622\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.814417 | −0.0329478 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 37.0509 | 1.49647 | 0.748237 | − | 0.663432i | \(-0.230901\pi\) | ||||
0.748237 | + | 0.663432i | \(0.230901\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −35.9525 | −1.44739 | −0.723697 | − | 0.690118i | \(-0.757559\pi\) | ||||
−0.723697 | + | 0.690118i | \(0.757559\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 41.1996 | 1.65595 | 0.827976 | − | 0.560763i | \(-0.189492\pi\) | ||||
0.827976 | + | 0.560763i | \(0.189492\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −28.9081 | −1.15818 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −14.6785 | −0.587142 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.40956 | −0.0562030 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −25.7109 | −1.02354 | −0.511768 | − | 0.859124i | \(-0.671009\pi\) | ||||
−0.511768 | + | 0.859124i | \(0.671009\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.71354 | −0.0679996 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.135219 | −0.00535757 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.43782 | −0.0962879 | −0.0481440 | − | 0.998840i | \(-0.515331\pi\) | ||||
−0.0481440 | + | 0.998840i | \(0.515331\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 30.5238 | 1.20374 | 0.601870 | − | 0.798594i | \(-0.294423\pi\) | ||||
0.601870 | + | 0.798594i | \(0.294423\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 3.26910 | 0.128521 | 0.0642607 | − | 0.997933i | \(-0.479531\pi\) | ||||
0.0642607 | + | 0.997933i | \(0.479531\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.41746 | 0.173401 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −5.24631 | −0.205304 | −0.102652 | − | 0.994717i | \(-0.532733\pi\) | ||||
−0.102652 | + | 0.994717i | \(0.532733\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5.34413 | −0.208812 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 24.5139 | 0.954925 | 0.477462 | − | 0.878652i | \(-0.341557\pi\) | ||||
0.477462 | + | 0.878652i | \(0.341557\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −45.1848 | −1.75749 | −0.878743 | − | 0.477295i | \(-0.841617\pi\) | ||||
−0.878743 | + | 0.477295i | \(0.841617\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −14.9520 | −0.579813 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.767407 | −0.0297141 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 21.6202 | 0.834637 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.7834 | 1.03243 | 0.516213 | − | 0.856460i | \(-0.327341\pi\) | ||||
0.516213 | + | 0.856460i | \(0.327341\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −43.3493 | −1.66605 | −0.833025 | − | 0.553235i | \(-0.813393\pi\) | ||||
−0.833025 | + | 0.553235i | \(0.813393\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13.8238 | 0.530508 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 10.0366 | 0.384040 | 0.192020 | − | 0.981391i | \(-0.438496\pi\) | ||||
0.192020 | + | 0.981391i | \(0.438496\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −33.5420 | −1.28157 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −0.427263 | −0.0162774 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −17.9872 | −0.684266 | −0.342133 | − | 0.939652i | \(-0.611149\pi\) | ||||
−0.342133 | + | 0.939652i | \(0.611149\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 27.4345 | 1.04065 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 27.5614 | 1.04396 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −30.7815 | −1.16260 | −0.581301 | − | 0.813689i | \(-0.697456\pi\) | ||||
−0.581301 | + | 0.813689i | \(0.697456\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.768793 | 0.0289956 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 44.9237 | 1.68953 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.09943 | −0.229069 | −0.114534 | − | 0.993419i | \(-0.536538\pi\) | ||||
−0.114534 | + | 0.993419i | \(0.536538\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 11.8708 | 0.444565 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.537007 | 0.0200829 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 24.6860 | 0.920632 | 0.460316 | − | 0.887755i | \(-0.347736\pi\) | ||||
0.460316 | + | 0.887755i | \(0.347736\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −46.6249 | −1.73640 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.147081 | 0.00546243 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 36.0712 | 1.33781 | 0.668903 | − | 0.743349i | \(-0.266764\pi\) | ||||
0.668903 | + | 0.743349i | \(0.266764\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 32.7990 | 1.21311 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −30.1781 | −1.11465 | −0.557327 | − | 0.830293i | \(-0.688173\pi\) | ||||
−0.557327 | + | 0.830293i | \(0.688173\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −37.8721 | −1.39504 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −11.5288 | −0.424093 | −0.212047 | − | 0.977260i | \(-0.568013\pi\) | ||||
−0.212047 | + | 0.977260i | \(0.568013\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18.5601 | 0.680904 | 0.340452 | − | 0.940262i | \(-0.389420\pi\) | ||||
0.340452 | + | 0.940262i | \(0.389420\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.06969 | 0.0391903 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 44.1756 | 1.61414 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.26069 | −0.0824937 | −0.0412469 | − | 0.999149i | \(-0.513133\pi\) | ||||
−0.0412469 | + | 0.999149i | \(0.513133\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −3.06636 | −0.111596 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −45.7056 | −1.66120 | −0.830598 | − | 0.556872i | \(-0.812001\pi\) | ||||
−0.830598 | + | 0.556872i | \(0.812001\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 21.2344 | 0.769745 | 0.384873 | − | 0.922970i | \(-0.374245\pi\) | ||||
0.384873 | + | 0.922970i | \(0.374245\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −38.7120 | −1.40147 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.205598 | 0.00742373 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.5451 | 0.885118 | 0.442559 | − | 0.896739i | \(-0.354071\pi\) | ||||
0.442559 | + | 0.896739i | \(0.354071\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 29.6966 | 1.06811 | 0.534056 | − | 0.845449i | \(-0.320667\pi\) | ||||
0.534056 | + | 0.845449i | \(0.320667\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.27515 | −0.0817257 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −15.0323 | −0.538588 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 21.2563 | 0.760609 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.78310 | −0.277791 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.16617 | −0.0415694 | −0.0207847 | − | 0.999784i | \(-0.506616\pi\) | ||||
−0.0207847 | + | 0.999784i | \(0.506616\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 21.8006 | 0.775141 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 1.00625 | 0.0357330 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 3.69459 | 0.130869 | 0.0654345 | − | 0.997857i | \(-0.479157\pi\) | ||||
0.0654345 | + | 0.997857i | \(0.479157\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −42.9584 | −1.51976 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 11.8561 | 0.418392 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 36.6648 | 1.29227 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −7.83155 | −0.275343 | −0.137671 | − | 0.990478i | \(-0.543962\pi\) | ||||
−0.137671 | + | 0.990478i | \(0.543962\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −19.6708 | −0.690734 | −0.345367 | − | 0.938468i | \(-0.612246\pi\) | ||||
−0.345367 | + | 0.938468i | \(0.612246\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 38.4267 | 1.34603 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −17.8890 | −0.625855 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −29.8119 | −1.04044 | −0.520222 | − | 0.854031i | \(-0.674151\pi\) | ||||
−0.520222 | + | 0.854031i | \(0.674151\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 26.6385 | 0.928559 | 0.464280 | − | 0.885689i | \(-0.346313\pi\) | ||||
0.464280 | + | 0.885689i | \(0.346313\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 30.1035 | 1.04680 | 0.523401 | − | 0.852086i | \(-0.324663\pi\) | ||||
0.523401 | + | 0.852086i | \(0.324663\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −25.4482 | −0.883852 | −0.441926 | − | 0.897051i | \(-0.645705\pi\) | ||||
−0.441926 | + | 0.897051i | \(0.645705\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −7.13247 | −0.247125 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.85181 | 0.0640845 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −1.40852 | −0.0486275 | −0.0243138 | − | 0.999704i | \(-0.507740\pi\) | ||||
−0.0243138 | + | 0.999704i | \(0.507740\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −28.9912 | −0.999698 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −24.0485 | −0.827294 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −11.5217 | −0.395889 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.88521 | −0.0646243 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −27.2693 | −0.933682 | −0.466841 | − | 0.884341i | \(-0.654608\pi\) | ||||
−0.466841 | + | 0.884341i | \(0.654608\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −8.80951 | −0.300927 | −0.150464 | − | 0.988616i | \(-0.548077\pi\) | ||||
−0.150464 | + | 0.988616i | \(0.548077\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −28.9321 | −0.987152 | −0.493576 | − | 0.869703i | \(-0.664310\pi\) | ||||
−0.493576 | + | 0.869703i | \(0.664310\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1.47181 | 0.0501008 | 0.0250504 | − | 0.999686i | \(-0.492025\pi\) | ||||
0.0250504 | + | 0.999686i | \(0.492025\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 26.7127 | 0.908259 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.10765 | −0.275033 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.76265 | −0.0597251 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −29.3951 | −0.993737 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −37.7379 | −1.27432 | −0.637159 | − | 0.770732i | \(-0.719891\pi\) | ||||
−0.637159 | + | 0.770732i | \(0.719891\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 24.7811 | 0.834897 | 0.417449 | − | 0.908700i | \(-0.362924\pi\) | ||||
0.417449 | + | 0.908700i | \(0.362924\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 36.9451 | 1.24330 | 0.621651 | − | 0.783295i | \(-0.286462\pi\) | ||||
0.621651 | + | 0.783295i | \(0.286462\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −46.6482 | −1.56629 | −0.783146 | − | 0.621837i | \(-0.786386\pi\) | ||||
−0.783146 | + | 0.621837i | \(0.786386\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −2.23542 | −0.0749734 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 23.4301 | 0.784057 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −40.5286 | −1.35472 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.135619 | −0.00452314 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −22.5371 | −0.750819 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −20.2867 | −0.674353 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −43.9961 | −1.46087 | −0.730433 | − | 0.682985i | \(-0.760681\pi\) | ||||
−0.730433 | + | 0.682985i | \(0.760681\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.0348 | 0.531258 | 0.265629 | − | 0.964075i | \(-0.414420\pi\) | ||||
0.265629 | + | 0.964075i | \(0.414420\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.09206 | 0.0361419 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −6.97174 | −0.230227 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.37241 | −0.177219 | −0.0886096 | − | 0.996066i | \(-0.528242\pi\) | ||||
−0.0886096 | + | 0.996066i | \(0.528242\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.989314 | 0.0325637 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.361318 | 0.0118801 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 23.0096 | 0.754920 | 0.377460 | − | 0.926026i | \(-0.376798\pi\) | ||||
0.377460 | + | 0.926026i | \(0.376798\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.89013 | 0.127494 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 28.3258 | 0.926352 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −50.5567 | −1.65162 | −0.825808 | − | 0.563951i | \(-0.809281\pi\) | ||||
−0.825808 | + | 0.563951i | \(0.809281\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −16.0633 | −0.523648 | −0.261824 | − | 0.965116i | \(-0.584324\pi\) | ||||
−0.261824 | + | 0.965116i | \(0.584324\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 36.8618 | 1.20039 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −10.2063 | −0.331659 | −0.165830 | − | 0.986154i | \(-0.553030\pi\) | ||||
−0.165830 | + | 0.986154i | \(0.553030\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.551808 | 0.0179124 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 10.7589 | 0.348515 | 0.174257 | − | 0.984700i | \(-0.444248\pi\) | ||||
0.174257 | + | 0.984700i | \(0.444248\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.15792 | −0.263984 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −43.7575 | −1.41300 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −28.9022 | −0.932327 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 5.21724 | 0.167949 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.7046 | −1.05171 | −0.525855 | − | 0.850574i | \(-0.676255\pi\) | ||||
−0.525855 | + | 0.850574i | \(0.676255\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.93206 | 0.190369 | 0.0951845 | − | 0.995460i | \(-0.469656\pi\) | ||||
0.0951845 | + | 0.995460i | \(0.469656\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 35.7900 | 1.14737 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −36.2266 | −1.15899 | −0.579496 | − | 0.814975i | \(-0.696751\pi\) | ||||
−0.579496 | + | 0.814975i | \(0.696751\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −29.8695 | −0.954634 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −6.41022 | −0.204454 | −0.102227 | − | 0.994761i | \(-0.532597\pi\) | ||||
−0.102227 | + | 0.994761i | \(0.532597\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −38.3816 | −1.22294 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 43.8668 | 1.39488 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −11.8990 | −0.377986 | −0.188993 | − | 0.981978i | \(-0.560522\pi\) | ||||
−0.188993 | + | 0.981978i | \(0.560522\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.50700 | −0.0477751 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −12.7858 | −0.404930 | −0.202465 | − | 0.979290i | \(-0.564895\pi\) | ||||
−0.202465 | + | 0.979290i | \(0.564895\pi\) | |||||||
\(998\) | 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.f.1.4 | 5 | ||
3.2 | odd | 2 | 2004.2.a.b.1.2 | ✓ | 5 | ||
12.11 | even | 2 | 8016.2.a.q.1.2 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
2004.2.a.b.1.2 | ✓ | 5 | 3.2 | odd | 2 | ||
6012.2.a.f.1.4 | 5 | 1.1 | even | 1 | trivial | ||
8016.2.a.q.1.2 | 5 | 12.11 | even | 2 |