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: | \(10\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 4x^{9} - 26x^{8} + 82x^{7} + 211x^{6} - 340x^{5} - 593x^{4} + 192x^{3} + 423x^{2} + 126x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.9 | ||
Root | \(4.79792\) 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 | ||||||||
\(5\) | 3.67303 | 1.64263 | 0.821314 | − | 0.570477i | \(-0.193242\pi\) | ||||
0.821314 | + | 0.570477i | \(0.193242\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.79792 | 1.81344 | 0.906721 | − | 0.421731i | \(-0.138577\pi\) | ||||
0.906721 | + | 0.421731i | \(0.138577\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.91517 | 0.577445 | 0.288723 | − | 0.957413i | \(-0.406769\pi\) | ||||
0.288723 | + | 0.957413i | \(0.406769\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.05652 | 0.847726 | 0.423863 | − | 0.905726i | \(-0.360674\pi\) | ||||
0.423863 | + | 0.905726i | \(0.360674\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.92806 | −0.710158 | −0.355079 | − | 0.934836i | \(-0.615546\pi\) | ||||
−0.355079 | + | 0.934836i | \(0.615546\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −8.17555 | −1.87560 | −0.937800 | − | 0.347177i | \(-0.887140\pi\) | ||||
−0.937800 | + | 0.347177i | \(0.887140\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.97269 | 1.45391 | 0.726953 | − | 0.686687i | \(-0.240936\pi\) | ||||
0.726953 | + | 0.686687i | \(0.240936\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.49112 | 1.69822 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.87744 | −0.720022 | −0.360011 | − | 0.932948i | \(-0.617227\pi\) | ||||
−0.360011 | + | 0.932948i | \(0.617227\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.104588 | 0.0187845 | 0.00939226 | − | 0.999956i | \(-0.497010\pi\) | ||||
0.00939226 | + | 0.999956i | \(0.497010\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 17.6229 | 2.97881 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.37862 | −0.226644 | −0.113322 | − | 0.993558i | \(-0.536149\pi\) | ||||
−0.113322 | + | 0.993558i | \(0.536149\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −10.4874 | −1.63786 | −0.818930 | − | 0.573893i | \(-0.805433\pi\) | ||||
−0.818930 | + | 0.573893i | \(0.805433\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.08108 | −0.774857 | −0.387429 | − | 0.921900i | \(-0.626637\pi\) | ||||
−0.387429 | + | 0.921900i | \(0.626637\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 10.8230 | 1.57870 | 0.789352 | − | 0.613941i | \(-0.210417\pi\) | ||||
0.789352 | + | 0.613941i | \(0.210417\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 16.0200 | 2.28857 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.42211 | 1.01950 | 0.509752 | − | 0.860321i | \(-0.329737\pi\) | ||||
0.509752 | + | 0.860321i | \(0.329737\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.03447 | 0.948527 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.535117 | 0.0696662 | 0.0348331 | − | 0.999393i | \(-0.488910\pi\) | ||||
0.0348331 | + | 0.999393i | \(0.488910\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.80494 | 1.12736 | 0.563679 | − | 0.825994i | \(-0.309386\pi\) | ||||
0.563679 | + | 0.825994i | \(0.309386\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 11.2267 | 1.39250 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.50182 | −1.03866 | −0.519331 | − | 0.854573i | \(-0.673819\pi\) | ||||
−0.519331 | + | 0.854573i | \(0.673819\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.00918 | −0.594480 | −0.297240 | − | 0.954803i | \(-0.596066\pi\) | ||||
−0.297240 | + | 0.954803i | \(0.596066\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.80655 | 1.03073 | 0.515364 | − | 0.856971i | \(-0.327657\pi\) | ||||
0.515364 | + | 0.856971i | \(0.327657\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 9.18882 | 1.04716 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.76692 | −0.761338 | −0.380669 | − | 0.924711i | \(-0.624306\pi\) | ||||
−0.380669 | + | 0.924711i | \(0.624306\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 10.3540 | 1.13650 | 0.568250 | − | 0.822856i | \(-0.307621\pi\) | ||||
0.568250 | + | 0.822856i | \(0.307621\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.7548 | −1.16653 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 12.2737 | 1.30101 | 0.650503 | − | 0.759503i | \(-0.274558\pi\) | ||||
0.650503 | + | 0.759503i | \(0.274558\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 14.6649 | 1.53730 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −30.0290 | −3.08091 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −12.4388 | −1.26297 | −0.631483 | − | 0.775390i | \(-0.717553\pi\) | ||||
−0.631483 | + | 0.775390i | \(0.717553\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 11.6036 | 1.15460 | 0.577299 | − | 0.816533i | \(-0.304107\pi\) | ||||
0.577299 | + | 0.816533i | \(0.304107\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.02122 | 0.494756 | 0.247378 | − | 0.968919i | \(-0.420431\pi\) | ||||
0.247378 | + | 0.968919i | \(0.420431\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.503150 | 0.0486413 | 0.0243207 | − | 0.999704i | \(-0.492258\pi\) | ||||
0.0243207 | + | 0.999704i | \(0.492258\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.18686 | 0.688376 | 0.344188 | − | 0.938901i | \(-0.388154\pi\) | ||||
0.344188 | + | 0.938901i | \(0.388154\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −14.1132 | −1.32766 | −0.663831 | − | 0.747883i | \(-0.731070\pi\) | ||||
−0.663831 | + | 0.747883i | \(0.731070\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 25.6109 | 2.38823 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −14.0486 | −1.28783 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.33213 | −0.666557 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 12.8230 | 1.14692 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 14.7666 | 1.31032 | 0.655160 | − | 0.755490i | \(-0.272601\pi\) | ||||
0.655160 | + | 0.755490i | \(0.272601\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 9.61825 | 0.840350 | 0.420175 | − | 0.907443i | \(-0.361969\pi\) | ||||
0.420175 | + | 0.907443i | \(0.361969\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −39.2256 | −3.40129 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −14.8778 | −1.27110 | −0.635549 | − | 0.772060i | \(-0.719226\pi\) | ||||
−0.635549 | + | 0.772060i | \(0.719226\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.8016 | 1.25545 | 0.627727 | − | 0.778434i | \(-0.283986\pi\) | ||||
0.627727 | + | 0.778434i | \(0.283986\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 5.85375 | 0.489515 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.2419 | −1.18273 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.96434 | −0.570541 | −0.285270 | − | 0.958447i | \(-0.592083\pi\) | ||||
−0.285270 | + | 0.958447i | \(0.592083\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.3659 | −1.00633 | −0.503163 | − | 0.864192i | \(-0.667830\pi\) | ||||
−0.503163 | + | 0.864192i | \(0.667830\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.384154 | 0.0308560 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.22168 | −0.416735 | −0.208368 | − | 0.978051i | \(-0.566815\pi\) | ||||
−0.208368 | + | 0.978051i | \(0.566815\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 33.4544 | 2.63657 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −22.1034 | −1.73127 | −0.865637 | − | 0.500672i | \(-0.833086\pi\) | ||||
−0.865637 | + | 0.500672i | \(0.833086\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.00000 | −0.0773823 | ||||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.65769 | −0.281361 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.66845 | −0.202878 | −0.101439 | − | 0.994842i | \(-0.532345\pi\) | ||||
−0.101439 | + | 0.994842i | \(0.532345\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 40.7397 | 3.07963 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 14.2726 | 1.06678 | 0.533392 | − | 0.845868i | \(-0.320917\pi\) | ||||
0.533392 | + | 0.845868i | \(0.320917\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.0242324 | 0.00180118 | 0.000900589 | − | 1.00000i | \(-0.499713\pi\) | ||||
0.000900589 | 1.00000i | \(0.499713\pi\) | ||||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.06372 | −0.372292 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.60772 | −0.410077 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.07687 | −0.367350 | −0.183675 | − | 0.982987i | \(-0.558799\pi\) | ||||
−0.183675 | + | 0.982987i | \(0.558799\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −21.3648 | −1.53788 | −0.768938 | − | 0.639324i | \(-0.779214\pi\) | ||||
−0.768938 | + | 0.639324i | \(0.779214\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.27277 | −0.304422 | −0.152211 | − | 0.988348i | \(-0.548639\pi\) | ||||
−0.152211 | + | 0.988348i | \(0.548639\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.23438 | 0.371056 | 0.185528 | − | 0.982639i | \(-0.440601\pi\) | ||||
0.185528 | + | 0.982639i | \(0.440601\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −18.6036 | −1.30572 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −38.5206 | −2.69039 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −15.6576 | −1.08306 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.86156 | 0.196998 | 0.0984989 | − | 0.995137i | \(-0.468596\pi\) | ||||
0.0984989 | + | 0.995137i | \(0.468596\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −18.6629 | −1.27280 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.501804 | 0.0340646 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.94966 | −0.602019 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −26.0317 | −1.74321 | −0.871607 | − | 0.490206i | \(-0.836922\pi\) | ||||
−0.871607 | + | 0.490206i | \(0.836922\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 5.28114 | 0.350522 | 0.175261 | − | 0.984522i | \(-0.443923\pi\) | ||||
0.175261 | + | 0.984522i | \(0.443923\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.6859 | −0.838310 | −0.419155 | − | 0.907915i | \(-0.637674\pi\) | ||||
−0.419155 | + | 0.907915i | \(0.637674\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −25.9135 | −1.69765 | −0.848825 | − | 0.528673i | \(-0.822690\pi\) | ||||
−0.848825 | + | 0.528673i | \(0.822690\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 39.7533 | 2.59322 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −7.76237 | −0.502106 | −0.251053 | − | 0.967973i | \(-0.580777\pi\) | ||||
−0.251053 | + | 0.967973i | \(0.580777\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.75954 | 0.628667 | 0.314334 | − | 0.949313i | \(-0.398219\pi\) | ||||
0.314334 | + | 0.949313i | \(0.398219\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 58.8419 | 3.75927 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −24.9887 | −1.58999 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 23.7710 | 1.50041 | 0.750205 | − | 0.661205i | \(-0.229955\pi\) | ||||
0.750205 | + | 0.661205i | \(0.229955\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 13.3539 | 0.839551 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 9.00848 | 0.561934 | 0.280967 | − | 0.959717i | \(-0.409345\pi\) | ||||
0.280967 | + | 0.959717i | \(0.409345\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.61452 | −0.411006 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 25.7018 | 1.58484 | 0.792421 | − | 0.609975i | \(-0.208820\pi\) | ||||
0.792421 | + | 0.609975i | \(0.208820\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.2616 | 1.67467 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −4.12529 | −0.251523 | −0.125762 | − | 0.992060i | \(-0.540137\pi\) | ||||
−0.125762 | + | 0.992060i | \(0.540137\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −30.4509 | −1.84976 | −0.924879 | − | 0.380260i | \(-0.875834\pi\) | ||||
−0.924879 | + | 0.380260i | \(0.875834\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 16.2619 | 0.980631 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.32001 | 0.259564 | 0.129782 | − | 0.991543i | \(-0.458572\pi\) | ||||
0.129782 | + | 0.991543i | \(0.458572\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 17.3504 | 1.03504 | 0.517519 | − | 0.855672i | \(-0.326856\pi\) | ||||
0.517519 | + | 0.855672i | \(0.326856\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −25.3295 | −1.50568 | −0.752840 | − | 0.658204i | \(-0.771317\pi\) | ||||
−0.752840 | + | 0.658204i | \(0.771317\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −50.3178 | −2.97017 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.42648 | −0.495675 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −20.6214 | −1.20472 | −0.602358 | − | 0.798226i | \(-0.705772\pi\) | ||||
−0.602358 | + | 0.798226i | \(0.705772\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.96550 | 0.114436 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 21.3121 | 1.23251 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −24.3786 | −1.40516 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 32.3408 | 1.85183 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 15.7715 | 0.900125 | 0.450062 | − | 0.892997i | \(-0.351402\pi\) | ||||
0.450062 | + | 0.892997i | \(0.351402\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 23.2654 | 1.31926 | 0.659629 | − | 0.751592i | \(-0.270714\pi\) | ||||
0.659629 | + | 0.751592i | \(0.270714\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.86653 | −0.388119 | −0.194060 | − | 0.980990i | \(-0.562166\pi\) | ||||
−0.194060 | + | 0.980990i | \(0.562166\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 17.6632 | 0.992065 | 0.496032 | − | 0.868304i | \(-0.334790\pi\) | ||||
0.496032 | + | 0.868304i | \(0.334790\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.42595 | −0.415773 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 23.9385 | 1.33197 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 25.9533 | 1.43963 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 51.9281 | 2.86289 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.6966 | 1.08262 | 0.541312 | − | 0.840822i | \(-0.317928\pi\) | ||||
0.541312 | + | 0.840822i | \(0.317928\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −31.2274 | −1.70613 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −26.6703 | −1.45282 | −0.726411 | − | 0.687261i | \(-0.758813\pi\) | ||||
−0.726411 | + | 0.687261i | \(0.758813\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.200303 | 0.0108470 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 43.2772 | 2.33675 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 4.58809 | 0.246302 | 0.123151 | − | 0.992388i | \(-0.460700\pi\) | ||||
0.123151 | + | 0.992388i | \(0.460700\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.69727 | 0.0908528 | 0.0454264 | − | 0.998968i | \(-0.485535\pi\) | ||||
0.0454264 | + | 0.998968i | \(0.485535\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.4077 | 1.29909 | 0.649545 | − | 0.760323i | \(-0.274959\pi\) | ||||
0.649545 | + | 0.760323i | \(0.274959\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.3988 | −0.976510 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 0.322263 | 0.0170084 | 0.00850420 | − | 0.999964i | \(-0.497293\pi\) | ||||
0.00850420 | + | 0.999964i | \(0.497293\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 47.8396 | 2.51787 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 32.3467 | 1.69310 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.5461 | −0.602702 | −0.301351 | − | 0.953513i | \(-0.597438\pi\) | ||||
−0.301351 | + | 0.953513i | \(0.597438\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 35.6106 | 1.84881 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.1800 | −0.941327 | −0.470663 | − | 0.882313i | \(-0.655985\pi\) | ||||
−0.470663 | + | 0.882313i | \(0.655985\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −11.8515 | −0.610381 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −28.3720 | −1.45737 | −0.728685 | − | 0.684849i | \(-0.759868\pi\) | ||||
−0.728685 | + | 0.684849i | \(0.759868\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 32.4525 | 1.65825 | 0.829123 | − | 0.559066i | \(-0.188840\pi\) | ||||
0.829123 | + | 0.559066i | \(0.188840\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 33.7508 | 1.72010 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 14.7445 | 0.747578 | 0.373789 | − | 0.927514i | \(-0.378058\pi\) | ||||
0.373789 | + | 0.927514i | \(0.378058\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −20.4164 | −1.03250 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −24.8551 | −1.25060 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.2101 | −1.16488 | −0.582441 | − | 0.812873i | \(-0.697902\pi\) | ||||
−0.582441 | + | 0.812873i | \(0.697902\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −19.3934 | −0.968461 | −0.484230 | − | 0.874941i | \(-0.660900\pi\) | ||||
−0.484230 | + | 0.874941i | \(0.660900\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.319675 | 0.0159241 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.64030 | −0.130875 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −35.0781 | −1.73450 | −0.867251 | − | 0.497872i | \(-0.834115\pi\) | ||||
−0.867251 | + | 0.497872i | \(0.834115\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 2.56744 | 0.126336 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 38.0306 | 1.86685 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −9.76721 | −0.477159 | −0.238580 | − | 0.971123i | \(-0.576682\pi\) | ||||
−0.238580 | + | 0.971123i | \(0.576682\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −9.52914 | −0.464422 | −0.232211 | − | 0.972665i | \(-0.574596\pi\) | ||||
−0.232211 | + | 0.972665i | \(0.574596\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −24.8625 | −1.20601 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 42.2454 | 2.04440 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.20574 | 0.0580786 | 0.0290393 | − | 0.999578i | \(-0.490755\pi\) | ||||
0.0290393 | + | 0.999578i | \(0.490755\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.13190 | −0.198567 | −0.0992833 | − | 0.995059i | \(-0.531655\pi\) | ||||
−0.0992833 | + | 0.995059i | \(0.531655\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −57.0055 | −2.72694 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −12.8595 | −0.613751 | −0.306875 | − | 0.951750i | \(-0.599283\pi\) | ||||
−0.306875 | + | 0.951750i | \(0.599283\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 33.9304 | 1.61208 | 0.806041 | − | 0.591860i | \(-0.201606\pi\) | ||||
0.806041 | + | 0.591860i | \(0.201606\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 45.0815 | 2.13707 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 17.9490 | 0.847068 | 0.423534 | − | 0.905880i | \(-0.360790\pi\) | ||||
0.423534 | + | 0.905880i | \(0.360790\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −20.0852 | −0.945775 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 53.8646 | 2.52521 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −7.58770 | −0.354938 | −0.177469 | − | 0.984126i | \(-0.556791\pi\) | ||||
−0.177469 | + | 0.984126i | \(0.556791\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −32.5987 | −1.51827 | −0.759136 | − | 0.650932i | \(-0.774378\pi\) | ||||
−0.759136 | + | 0.650932i | \(0.774378\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.4807 | 0.765924 | 0.382962 | − | 0.923764i | \(-0.374904\pi\) | ||||
0.382962 | + | 0.923764i | \(0.374904\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −8.43107 | −0.390143 | −0.195072 | − | 0.980789i | \(-0.562494\pi\) | ||||
−0.195072 | + | 0.980789i | \(0.562494\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −40.7910 | −1.88355 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −9.73112 | −0.447437 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −69.4196 | −3.18519 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.64192 | 0.257786 | 0.128893 | − | 0.991659i | \(-0.458858\pi\) | ||||
0.128893 | + | 0.991659i | \(0.458858\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.21379 | −0.192132 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −45.6879 | −2.07458 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.4101 | 0.652986 | 0.326493 | − | 0.945200i | \(-0.394133\pi\) | ||||
0.326493 | + | 0.945200i | \(0.394133\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.98281 | −0.315130 | −0.157565 | − | 0.987509i | \(-0.550364\pi\) | ||||
−0.157565 | + | 0.987509i | \(0.550364\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11.3534 | 0.511329 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −24.0336 | −1.07806 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 17.0286 | 0.762305 | 0.381153 | − | 0.924512i | \(-0.375527\pi\) | ||||
0.381153 | + | 0.924512i | \(0.375527\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4.01078 | −0.178832 | −0.0894159 | − | 0.995994i | \(-0.528500\pi\) | ||||
−0.0894159 | + | 0.995994i | \(0.528500\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 42.6202 | 1.89657 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 33.8481 | 1.50029 | 0.750145 | − | 0.661273i | \(-0.229984\pi\) | ||||
0.750145 | + | 0.661273i | \(0.229984\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 42.2531 | 1.86917 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 18.4431 | 0.812700 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 20.7280 | 0.911615 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −16.4116 | −0.719005 | −0.359503 | − | 0.933144i | \(-0.617054\pi\) | ||||
−0.359503 | + | 0.933144i | \(0.617054\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 21.8213 | 0.954180 | 0.477090 | − | 0.878855i | \(-0.341692\pi\) | ||||
0.477090 | + | 0.878855i | \(0.341692\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.306239 | −0.0133400 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 25.6184 | 1.11384 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −32.0550 | −1.38846 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.84808 | 0.0798996 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 30.6810 | 1.32152 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.06569 | −0.174798 | −0.0873988 | − | 0.996173i | \(-0.527855\pi\) | ||||
−0.0873988 | + | 0.996173i | \(0.527855\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 26.3975 | 1.13075 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.67799 | −0.114502 | −0.0572512 | − | 0.998360i | \(-0.518234\pi\) | ||||
−0.0572512 | + | 0.998360i | \(0.518234\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 31.7002 | 1.35047 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −32.4671 | −1.38064 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −10.7081 | −0.453716 | −0.226858 | − | 0.973928i | \(-0.572845\pi\) | ||||
−0.226858 | + | 0.973928i | \(0.572845\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −15.5304 | −0.656866 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −32.0422 | −1.35042 | −0.675209 | − | 0.737626i | \(-0.735947\pi\) | ||||
−0.675209 | + | 0.737626i | \(0.735947\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −51.8383 | −2.18085 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −14.2153 | −0.595936 | −0.297968 | − | 0.954576i | \(-0.596309\pi\) | ||||
−0.297968 | + | 0.954576i | \(0.596309\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 36.3290 | 1.52032 | 0.760160 | − | 0.649735i | \(-0.225120\pi\) | ||||
0.760160 | + | 0.649735i | \(0.225120\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 59.2059 | 2.46906 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 43.7193 | 1.82006 | 0.910030 | − | 0.414542i | \(-0.136058\pi\) | ||||
0.910030 | + | 0.414542i | \(0.136058\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 49.6777 | 2.06098 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.2146 | 0.588708 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −39.5724 | −1.63333 | −0.816665 | − | 0.577112i | \(-0.804179\pi\) | ||||
−0.816665 | + | 0.577112i | \(0.804179\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.855063 | −0.0352322 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 29.9804 | 1.23115 | 0.615573 | − | 0.788080i | \(-0.288924\pi\) | ||||
0.615573 | + | 0.788080i | \(0.288924\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −51.6008 | −2.11543 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −47.5354 | −1.94224 | −0.971121 | − | 0.238586i | \(-0.923316\pi\) | ||||
−0.971121 | + | 0.238586i | \(0.923316\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 9.82335 | 0.400703 | 0.200351 | − | 0.979724i | \(-0.435792\pi\) | ||||
0.200351 | + | 0.979724i | \(0.435792\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −26.9311 | −1.09490 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 8.83155 | 0.358462 | 0.179231 | − | 0.983807i | \(-0.442639\pi\) | ||||
0.179231 | + | 0.983807i | \(0.442639\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 33.0808 | 1.33831 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.93013 | −0.360685 | −0.180342 | − | 0.983604i | \(-0.557721\pi\) | ||||
−0.180342 | + | 0.983604i | \(0.557721\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 2.31064 | 0.0930230 | 0.0465115 | − | 0.998918i | \(-0.485190\pi\) | ||||
0.0465115 | + | 0.998918i | \(0.485190\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.92409 | −0.318496 | −0.159248 | − | 0.987239i | \(-0.550907\pi\) | ||||
−0.159248 | + | 0.987239i | \(0.550907\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 58.8881 | 2.35930 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.64353 | 0.185741 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 4.03669 | 0.160953 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −16.2418 | −0.646576 | −0.323288 | − | 0.946301i | \(-0.604788\pi\) | ||||
−0.323288 | + | 0.946301i | \(0.604788\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 54.2379 | 2.15237 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 48.9654 | 1.94008 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 11.3414 | 0.447959 | 0.223979 | − | 0.974594i | \(-0.428095\pi\) | ||||
0.223979 | + | 0.974594i | \(0.428095\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 46.5575 | 1.83605 | 0.918024 | − | 0.396524i | \(-0.129784\pi\) | ||||
0.918024 | + | 0.396524i | \(0.129784\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −15.5379 | −0.610859 | −0.305430 | − | 0.952215i | \(-0.598800\pi\) | ||||
−0.305430 | + | 0.952215i | \(0.598800\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.02484 | 0.0402284 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −34.9961 | −1.36950 | −0.684752 | − | 0.728776i | \(-0.740089\pi\) | ||||
−0.684752 | + | 0.728776i | \(0.740089\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 35.3281 | 1.38038 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.96335 | 0.154390 | 0.0771952 | − | 0.997016i | \(-0.475404\pi\) | ||||
0.0771952 | + | 0.997016i | \(0.475404\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −34.0321 | −1.32370 | −0.661848 | − | 0.749638i | \(-0.730227\pi\) | ||||
−0.661848 | + | 0.749638i | \(0.730227\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −144.077 | −5.58705 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −27.0361 | −1.04684 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 16.8630 | 0.650987 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.1268 | −0.428907 | −0.214454 | − | 0.976734i | \(-0.568797\pi\) | ||||
−0.214454 | + | 0.976734i | \(0.568797\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −46.1494 | −1.77367 | −0.886833 | − | 0.462090i | \(-0.847100\pi\) | ||||
−0.886833 | + | 0.462090i | \(0.847100\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −59.6802 | −2.29032 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 29.9645 | 1.14656 | 0.573280 | − | 0.819360i | \(-0.305671\pi\) | ||||
0.573280 | + | 0.819360i | \(0.305671\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −54.6467 | −2.08794 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 22.6858 | 0.864260 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 29.1144 | 1.10756 | 0.553782 | − | 0.832662i | \(-0.313184\pi\) | ||||
0.553782 | + | 0.832662i | \(0.313184\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 54.3666 | 2.06224 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 30.7078 | 1.16314 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 14.2895 | 0.539706 | 0.269853 | − | 0.962901i | \(-0.413025\pi\) | ||||
0.269853 | + | 0.962901i | \(0.413025\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 11.2710 | 0.425094 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 55.6729 | 2.09380 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −20.7699 | −0.780029 | −0.390015 | − | 0.920809i | \(-0.627530\pi\) | ||||
−0.390015 | + | 0.920809i | \(0.627530\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.729258 | 0.0273109 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.5010 | 0.804091 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −21.1175 | −0.787549 | −0.393774 | − | 0.919207i | \(-0.628831\pi\) | ||||
−0.393774 | + | 0.919207i | \(0.628831\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 24.0914 | 0.897211 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −32.9238 | −1.22276 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 2.28911 | 0.0848982 | 0.0424491 | − | 0.999099i | \(-0.486484\pi\) | ||||
0.0424491 | + | 0.999099i | \(0.486484\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 14.8777 | 0.550271 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 41.4761 | 1.53196 | 0.765978 | − | 0.642867i | \(-0.222255\pi\) | ||||
0.765978 | + | 0.642867i | \(0.222255\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −16.2824 | −0.599770 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −10.6238 | −0.390804 | −0.195402 | − | 0.980723i | \(-0.562601\pi\) | ||||
−0.195402 | + | 0.980723i | \(0.562601\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −15.1811 | −0.556942 | −0.278471 | − | 0.960445i | \(-0.589828\pi\) | ||||
−0.278471 | + | 0.960445i | \(0.589828\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −25.5802 | −0.937186 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 2.41407 | 0.0882082 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.1855 | 0.955523 | 0.477761 | − | 0.878490i | \(-0.341448\pi\) | ||||
0.477761 | + | 0.878490i | \(0.341448\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −45.4204 | −1.65302 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 13.1148 | 0.476664 | 0.238332 | − | 0.971184i | \(-0.423399\pi\) | ||||
0.238332 | + | 0.971184i | \(0.423399\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 17.6038 | 0.638137 | 0.319068 | − | 0.947732i | \(-0.396630\pi\) | ||||
0.319068 | + | 0.947732i | \(0.396630\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 34.4819 | 1.24833 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 1.63559 | 0.0590579 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 4.53272 | 0.163454 | 0.0817270 | − | 0.996655i | \(-0.473956\pi\) | ||||
0.0817270 | + | 0.996655i | \(0.473956\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −46.4514 | −1.67074 | −0.835370 | − | 0.549689i | \(-0.814746\pi\) | ||||
−0.835370 | + | 0.549689i | \(0.814746\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.888068 | 0.0319003 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 85.7405 | 3.07197 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −9.59343 | −0.343280 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −19.1794 | −0.684541 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −24.1583 | −0.861151 | −0.430576 | − | 0.902555i | \(-0.641689\pi\) | ||||
−0.430576 | + | 0.902555i | \(0.641689\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −67.7141 | −2.40764 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 26.9125 | 0.955690 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 43.8645 | 1.55376 | 0.776881 | − | 0.629648i | \(-0.216801\pi\) | ||||
0.776881 | + | 0.629648i | \(0.216801\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −31.6905 | −1.12113 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 16.8660 | 0.595189 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 122.879 | 4.33091 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −19.5251 | −0.686465 | −0.343232 | − | 0.939251i | \(-0.611522\pi\) | ||||
−0.343232 | + | 0.939251i | \(0.611522\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 47.3540 | 1.66282 | 0.831411 | − | 0.555658i | \(-0.187534\pi\) | ||||
0.831411 | + | 0.555658i | \(0.187534\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −81.1865 | −2.84384 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 41.5406 | 1.45332 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 18.8789 | 0.658878 | 0.329439 | − | 0.944177i | \(-0.393140\pi\) | ||||
0.329439 | + | 0.944177i | \(0.393140\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 2.05916 | 0.0717779 | 0.0358890 | − | 0.999356i | \(-0.488574\pi\) | ||||
0.0358890 | + | 0.999356i | \(0.488574\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −53.9398 | −1.87567 | −0.937836 | − | 0.347080i | \(-0.887173\pi\) | ||||
−0.937836 | + | 0.347080i | \(0.887173\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −19.3325 | −0.671446 | −0.335723 | − | 0.941961i | \(-0.608981\pi\) | ||||
−0.335723 | + | 0.941961i | \(0.608981\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −46.9075 | −1.62525 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.67303 | −0.127110 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −39.0863 | −1.34941 | −0.674705 | − | 0.738088i | \(-0.735729\pi\) | ||||
−0.674705 | + | 0.738088i | \(0.735729\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.9655 | −0.481569 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −13.4348 | −0.462171 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −35.1789 | −1.20876 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −9.61271 | −0.329519 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 26.0284 | 0.891194 | 0.445597 | − | 0.895234i | \(-0.352991\pi\) | ||||
0.445597 | + | 0.895234i | \(0.352991\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −55.2462 | −1.88717 | −0.943587 | − | 0.331126i | \(-0.892571\pi\) | ||||
−0.943587 | + | 0.331126i | \(0.892571\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.2278 | 0.826641 | 0.413320 | − | 0.910586i | \(-0.364369\pi\) | ||||
0.413320 | + | 0.910586i | \(0.364369\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 53.9889 | 1.83780 | 0.918902 | − | 0.394486i | \(-0.129077\pi\) | ||||
0.918902 | + | 0.394486i | \(0.129077\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.80127 | −0.333253 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −12.9598 | −0.439631 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.9860 | −0.880501 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 61.5236 | 2.07988 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 25.8149 | 0.871708 | 0.435854 | − | 0.900017i | \(-0.356446\pi\) | ||||
0.435854 | + | 0.900017i | \(0.356446\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.25617 | 0.0423215 | 0.0211608 | − | 0.999776i | \(-0.493264\pi\) | ||||
0.0211608 | + | 0.999776i | \(0.493264\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −35.2995 | −1.18792 | −0.593962 | − | 0.804493i | \(-0.702437\pi\) | ||||
−0.593962 | + | 0.804493i | \(0.702437\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −56.0079 | −1.88056 | −0.940280 | − | 0.340402i | \(-0.889437\pi\) | ||||
−0.940280 | + | 0.340402i | \(0.889437\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 70.8487 | 2.37619 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −88.4843 | −2.96102 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 52.4237 | 1.75233 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.405533 | −0.0135253 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.7324 | −0.724010 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0.0890061 | 0.00295866 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 11.4839 | 0.381317 | 0.190658 | − | 0.981656i | \(-0.438938\pi\) | ||||
0.190658 | + | 0.981656i | \(0.438938\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 42.3400 | 1.40279 | 0.701394 | − | 0.712774i | \(-0.252561\pi\) | ||||
0.701394 | + | 0.712774i | \(0.252561\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 19.8297 | 0.656267 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 46.1476 | 1.52393 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −29.5614 | −0.975139 | −0.487570 | − | 0.873084i | \(-0.662116\pi\) | ||||
−0.487570 | + | 0.873084i | \(0.662116\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −15.3107 | −0.503956 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.7061 | −0.384893 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −31.2597 | −1.02560 | −0.512799 | − | 0.858509i | \(-0.671391\pi\) | ||||
−0.512799 | + | 0.858509i | \(0.671391\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −130.972 | −4.29244 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −20.5973 | −0.673604 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −43.8181 | −1.43147 | −0.715737 | − | 0.698370i | \(-0.753909\pi\) | ||||
−0.715737 | + | 0.698370i | \(0.753909\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 12.7803 | 0.416626 | 0.208313 | − | 0.978062i | \(-0.433203\pi\) | ||||
0.208313 | + | 0.978062i | \(0.433203\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −73.1255 | −2.38130 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.16371 | −0.265285 | −0.132642 | − | 0.991164i | \(-0.542346\pi\) | ||||
−0.132642 | + | 0.991164i | \(0.542346\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 26.9174 | 0.873775 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −10.5228 | −0.340866 | −0.170433 | − | 0.985369i | \(-0.554517\pi\) | ||||
−0.170433 | + | 0.985369i | \(0.554517\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18.6475 | −0.603419 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −71.3826 | −2.30506 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.9891 | −0.999647 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −78.4736 | −2.52616 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 26.5223 | 0.852901 | 0.426451 | − | 0.904511i | \(-0.359764\pi\) | ||||
0.426451 | + | 0.904511i | \(0.359764\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −6.83362 | −0.219301 | −0.109651 | − | 0.993970i | \(-0.534973\pi\) | ||||
−0.109651 | + | 0.993970i | \(0.534973\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 71.0167 | 2.27669 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 18.8956 | 0.604522 | 0.302261 | − | 0.953225i | \(-0.402259\pi\) | ||||
0.302261 | + | 0.953225i | \(0.402259\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 23.5062 | 0.751260 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 29.3473 | 0.936034 | 0.468017 | − | 0.883719i | \(-0.344969\pi\) | ||||
0.468017 | + | 0.883719i | \(0.344969\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −15.6940 | −0.500052 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −35.4288 | −1.12657 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.388734 | −0.0123486 | −0.00617428 | − | 0.999981i | \(-0.501965\pi\) | ||||
−0.00617428 | + | 0.999981i | \(0.501965\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 19.2260 | 0.609506 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −21.2097 | −0.671720 | −0.335860 | − | 0.941912i | \(-0.609027\pi\) | ||||
−0.335860 | + | 0.941912i | \(0.609027\pi\) | |||||||
\(998\) | 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.k.1.9 | yes | 10 | |
3.2 | odd | 2 | 6012.2.a.j.1.2 | ✓ | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6012.2.a.j.1.2 | ✓ | 10 | 3.2 | odd | 2 | ||
6012.2.a.k.1.9 | yes | 10 | 1.1 | even | 1 | trivial |