Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6012,2,Mod(1,6012)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6012, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("6012.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6012 = 2^{2} \cdot 3^{2} \cdot 167 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6012.a (trivial) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | yes |
Analytic conductor: | \(48.0060616952\) |
Analytic rank: | \(1\) |
Dimension: | \(7\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{7} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{7} - 11x^{5} - 7x^{4} + 21x^{3} + 17x^{2} - 4x - 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 668) |
Fricke sign: | \(1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.7 | ||
Root | \(-0.656969\) 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 | ||||||||
\(5\) | 3.04428 | 1.36144 | 0.680722 | − | 0.732542i | \(-0.261666\pi\) | ||||
0.680722 | + | 0.732542i | \(0.261666\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −5.08545 | −1.92212 | −0.961060 | − | 0.276341i | \(-0.910878\pi\) | ||||
−0.961060 | + | 0.276341i | \(0.910878\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.20467 | 1.56927 | 0.784634 | − | 0.619959i | \(-0.212851\pi\) | ||||
0.784634 | + | 0.619959i | \(0.212851\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.31129 | −0.641037 | −0.320519 | − | 0.947242i | \(-0.603857\pi\) | ||||
−0.320519 | + | 0.947242i | \(0.603857\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.27784 | −1.03753 | −0.518764 | − | 0.854917i | \(-0.673608\pi\) | ||||
−0.518764 | + | 0.854917i | \(0.673608\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.59965 | 0.366985 | 0.183493 | − | 0.983021i | \(-0.441260\pi\) | ||||
0.183493 | + | 0.983021i | \(0.441260\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.43992 | 0.508758 | 0.254379 | − | 0.967105i | \(-0.418129\pi\) | ||||
0.254379 | + | 0.967105i | \(0.418129\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.26765 | 0.853531 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.31901 | −0.802019 | −0.401010 | − | 0.916074i | \(-0.631341\pi\) | ||||
−0.401010 | + | 0.916074i | \(0.631341\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.46082 | −0.801188 | −0.400594 | − | 0.916256i | \(-0.631196\pi\) | ||||
−0.400594 | + | 0.916256i | \(0.631196\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −15.4815 | −2.61686 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.67425 | −0.768441 | −0.384221 | − | 0.923241i | \(-0.625530\pi\) | ||||
−0.384221 | + | 0.923241i | \(0.625530\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.47545 | 1.01130 | 0.505648 | − | 0.862740i | \(-0.331254\pi\) | ||||
0.505648 | + | 0.862740i | \(0.331254\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.211895 | 0.0323136 | 0.0161568 | − | 0.999869i | \(-0.494857\pi\) | ||||
0.0161568 | + | 0.999869i | \(0.494857\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −11.7940 | −1.72033 | −0.860164 | − | 0.510018i | \(-0.829639\pi\) | ||||
−0.860164 | + | 0.510018i | \(0.829639\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 18.8618 | 2.69454 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.30865 | −0.179756 | −0.0898782 | − | 0.995953i | \(-0.528648\pi\) | ||||
−0.0898782 | + | 0.995953i | \(0.528648\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 15.8445 | 2.13647 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.08988 | 0.272079 | 0.136039 | − | 0.990703i | \(-0.456563\pi\) | ||||
0.136039 | + | 0.990703i | \(0.456563\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.0019 | −1.28061 | −0.640304 | − | 0.768122i | \(-0.721192\pi\) | ||||
−0.640304 | + | 0.768122i | \(0.721192\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −7.03623 | −0.872737 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.4830 | −1.52504 | −0.762520 | − | 0.646965i | \(-0.776038\pi\) | ||||
−0.762520 | + | 0.646965i | \(0.776038\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.6069 | −1.25880 | −0.629402 | − | 0.777079i | \(-0.716700\pi\) | ||||
−0.629402 | + | 0.777079i | \(0.716700\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 15.7077 | 1.83845 | 0.919223 | − | 0.393737i | \(-0.128818\pi\) | ||||
0.919223 | + | 0.393737i | \(0.128818\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −26.4681 | −3.01632 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.89111 | −0.212766 | −0.106383 | − | 0.994325i | \(-0.533927\pi\) | ||||
−0.106383 | + | 0.994325i | \(0.533927\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.0733009 | −0.00804582 | −0.00402291 | − | 0.999992i | \(-0.501281\pi\) | ||||
−0.00402291 | + | 0.999992i | \(0.501281\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −13.0229 | −1.41254 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 13.6047 | 1.44210 | 0.721050 | − | 0.692883i | \(-0.243660\pi\) | ||||
0.721050 | + | 0.692883i | \(0.243660\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.7540 | 1.23215 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.86979 | 0.499630 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −13.9375 | −1.41514 | −0.707570 | − | 0.706643i | \(-0.750209\pi\) | ||||
−0.707570 | + | 0.706643i | \(0.750209\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.0118148 | −0.00117562 | −0.000587809 | − | 1.00000i | \(-0.500187\pi\) | ||||
−0.000587809 | 1.00000i | \(0.500187\pi\) | ||||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −17.9196 | −1.76567 | −0.882835 | − | 0.469684i | \(-0.844368\pi\) | ||||
−0.882835 | + | 0.469684i | \(0.844368\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 12.4182 | 1.20052 | 0.600258 | − | 0.799806i | \(-0.295065\pi\) | ||||
0.600258 | + | 0.799806i | \(0.295065\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.3019 | 1.17831 | 0.589154 | − | 0.808021i | \(-0.299461\pi\) | ||||
0.589154 | + | 0.808021i | \(0.299461\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 11.5977 | 1.09102 | 0.545510 | − | 0.838104i | \(-0.316336\pi\) | ||||
0.545510 | + | 0.838104i | \(0.316336\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 7.42779 | 0.692645 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 21.7547 | 1.99425 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 16.0886 | 1.46260 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −2.22947 | −0.199410 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.3903 | −0.921993 | −0.460996 | − | 0.887402i | \(-0.652508\pi\) | ||||
−0.460996 | + | 0.887402i | \(0.652508\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 6.34100 | 0.554016 | 0.277008 | − | 0.960868i | \(-0.410657\pi\) | ||||
0.277008 | + | 0.960868i | \(0.410657\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.13495 | −0.705390 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −17.9743 | −1.53565 | −0.767823 | − | 0.640662i | \(-0.778660\pi\) | ||||
−0.767823 | + | 0.640662i | \(0.778660\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −15.7565 | −1.33645 | −0.668224 | − | 0.743960i | \(-0.732945\pi\) | ||||
−0.668224 | + | 0.743960i | \(0.732945\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −12.0295 | −1.00596 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −13.1483 | −1.09190 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −20.5131 | −1.68050 | −0.840248 | − | 0.542202i | \(-0.817591\pi\) | ||||
−0.840248 | + | 0.542202i | \(0.817591\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.50097 | −0.284905 | −0.142452 | − | 0.989802i | \(-0.545499\pi\) | ||||
−0.142452 | + | 0.989802i | \(0.545499\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −13.5800 | −1.09077 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.07915 | −0.405360 | −0.202680 | − | 0.979245i | \(-0.564965\pi\) | ||||
−0.202680 | + | 0.979245i | \(0.564965\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −12.4081 | −0.977893 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.95080 | −0.544429 | −0.272214 | − | 0.962237i | \(-0.587756\pi\) | ||||
−0.272214 | + | 0.962237i | \(0.587756\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.00000 | −0.0773823 | ||||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.65793 | −0.589071 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.0212476 | −0.00161543 | −0.000807713 | − | 1.00000i | \(-0.500257\pi\) | ||||
−0.000807713 | 1.00000i | \(0.500257\pi\) | ||||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −21.7029 | −1.64059 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −5.82850 | −0.435642 | −0.217821 | − | 0.975989i | \(-0.569895\pi\) | ||||
−0.217821 | + | 0.975989i | \(0.569895\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 25.1573 | 1.86993 | 0.934964 | − | 0.354743i | \(-0.115432\pi\) | ||||
0.934964 | + | 0.354743i | \(0.115432\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −14.2297 | −1.04619 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −22.2648 | −1.62816 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −19.2286 | −1.39134 | −0.695668 | − | 0.718364i | \(-0.744891\pi\) | ||||
−0.695668 | + | 0.718364i | \(0.744891\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.794796 | −0.0572106 | −0.0286053 | − | 0.999591i | \(-0.509107\pi\) | ||||
−0.0286053 | + | 0.999591i | \(0.509107\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 14.2473 | 1.01508 | 0.507541 | − | 0.861628i | \(-0.330555\pi\) | ||||
0.507541 | + | 0.861628i | \(0.330555\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −8.74481 | −0.619903 | −0.309952 | − | 0.950752i | \(-0.600313\pi\) | ||||
−0.309952 | + | 0.950752i | \(0.600313\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 21.9641 | 1.54158 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 19.7131 | 1.37682 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.32567 | 0.575899 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.6406 | 0.870214 | 0.435107 | − | 0.900379i | \(-0.356711\pi\) | ||||
0.435107 | + | 0.900379i | \(0.356711\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.645067 | 0.0439932 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 22.6853 | 1.53998 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 9.88734 | 0.665094 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.46048 | −0.499590 | −0.249795 | − | 0.968299i | \(-0.580363\pi\) | ||||
−0.249795 | + | 0.968299i | \(0.580363\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −26.2068 | −1.73941 | −0.869705 | − | 0.493573i | \(-0.835691\pi\) | ||||
−0.869705 | + | 0.493573i | \(0.835691\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.9910 | −1.58537 | −0.792685 | − | 0.609632i | \(-0.791317\pi\) | ||||
−0.792685 | + | 0.609632i | \(0.791317\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.27525 | −0.0835441 | −0.0417720 | − | 0.999127i | \(-0.513300\pi\) | ||||
−0.0417720 | + | 0.999127i | \(0.513300\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −35.9042 | −2.34213 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.9028 | 0.834613 | 0.417306 | − | 0.908766i | \(-0.362974\pi\) | ||||
0.417306 | + | 0.908766i | \(0.362974\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.564182 | 0.0363421 | 0.0181711 | − | 0.999835i | \(-0.494216\pi\) | ||||
0.0181711 | + | 0.999835i | \(0.494216\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 57.4207 | 3.66847 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.69727 | −0.235251 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.92977 | −0.626762 | −0.313381 | − | 0.949628i | \(-0.601462\pi\) | ||||
−0.313381 | + | 0.949628i | \(0.601462\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.6990 | 0.798377 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −18.1466 | −1.13196 | −0.565978 | − | 0.824420i | \(-0.691501\pi\) | ||||
−0.565978 | + | 0.824420i | \(0.691501\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 23.7706 | 1.47704 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 10.0706 | 0.620979 | 0.310490 | − | 0.950577i | \(-0.399507\pi\) | ||||
0.310490 | + | 0.950577i | \(0.399507\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.98389 | −0.244728 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 23.1164 | 1.40943 | 0.704717 | − | 0.709489i | \(-0.251074\pi\) | ||||
0.704717 | + | 0.709489i | \(0.251074\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.46093 | −0.149491 | −0.0747454 | − | 0.997203i | \(-0.523814\pi\) | ||||
−0.0747454 | + | 0.997203i | \(0.523814\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 22.2117 | 1.33942 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.34328 | −0.321046 | −0.160523 | − | 0.987032i | \(-0.551318\pi\) | ||||
−0.160523 | + | 0.987032i | \(0.551318\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.91721 | −0.472301 | −0.236151 | − | 0.971716i | \(-0.575886\pi\) | ||||
−0.236151 | + | 0.971716i | \(0.575886\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.66200 | 0.0987957 | 0.0493978 | − | 0.998779i | \(-0.484270\pi\) | ||||
0.0493978 | + | 0.998779i | \(0.484270\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −32.9306 | −1.94383 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.29990 | 0.0764646 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 9.10191 | 0.531739 | 0.265870 | − | 0.964009i | \(-0.414341\pi\) | ||||
0.265870 | + | 0.964009i | \(0.414341\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.36217 | 0.370420 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −5.63936 | −0.326133 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.07758 | −0.0621107 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −30.4485 | −1.74348 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.0993981 | −0.00567295 | −0.00283647 | − | 0.999996i | \(-0.500903\pi\) | ||||
−0.00283647 | + | 0.999996i | \(0.500903\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −12.1343 | −0.688074 | −0.344037 | − | 0.938956i | \(-0.611795\pi\) | ||||
−0.344037 | + | 0.938956i | \(0.611795\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 30.9429 | 1.74899 | 0.874497 | − | 0.485031i | \(-0.161192\pi\) | ||||
0.874497 | + | 0.485031i | \(0.161192\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 26.9334 | 1.51273 | 0.756365 | − | 0.654150i | \(-0.226973\pi\) | ||||
0.756365 | + | 0.654150i | \(0.226973\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −22.4790 | −1.25858 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −6.84305 | −0.380758 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −9.86379 | −0.547145 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 59.9776 | 3.30667 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −25.8294 | −1.41971 | −0.709855 | − | 0.704348i | \(-0.751239\pi\) | ||||
−0.709855 | + | 0.704348i | \(0.751239\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −38.0017 | −2.07626 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.84238 | −0.209308 | −0.104654 | − | 0.994509i | \(-0.533373\pi\) | ||||
−0.104654 | + | 0.994509i | \(0.533373\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −23.2171 | −1.25728 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −60.3226 | −3.25712 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.42446 | 0.344883 | 0.172442 | − | 0.985020i | \(-0.444834\pi\) | ||||
0.172442 | + | 0.985020i | \(0.444834\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 31.4502 | 1.68349 | 0.841745 | − | 0.539876i | \(-0.181529\pi\) | ||||
0.841745 | + | 0.539876i | \(0.181529\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −9.31611 | −0.495847 | −0.247923 | − | 0.968780i | \(-0.579748\pi\) | ||||
−0.247923 | + | 0.968780i | \(0.579748\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −32.2903 | −1.71379 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −28.6321 | −1.51115 | −0.755573 | − | 0.655064i | \(-0.772642\pi\) | ||||
−0.755573 | + | 0.655064i | \(0.772642\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −16.4411 | −0.865322 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 47.8187 | 2.50294 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.73752 | 0.0906978 | 0.0453489 | − | 0.998971i | \(-0.485560\pi\) | ||||
0.0453489 | + | 0.998971i | \(0.485560\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 6.65506 | 0.345513 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.0346 | 0.623128 | 0.311564 | − | 0.950225i | \(-0.399147\pi\) | ||||
0.311564 | + | 0.950225i | \(0.399147\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 9.98249 | 0.514124 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.85505 | −0.403487 | −0.201743 | − | 0.979438i | \(-0.564661\pi\) | ||||
−0.201743 | + | 0.979438i | \(0.564661\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −20.1447 | −1.02934 | −0.514672 | − | 0.857387i | \(-0.672086\pi\) | ||||
−0.514672 | + | 0.857387i | \(0.672086\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −80.5764 | −4.10655 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.95858 | −0.0993042 | −0.0496521 | − | 0.998767i | \(-0.515811\pi\) | ||||
−0.0496521 | + | 0.998767i | \(0.515811\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.4376 | −0.527850 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −5.75707 | −0.289670 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.81024 | 0.141042 | 0.0705210 | − | 0.997510i | \(-0.477534\pi\) | ||||
0.0705210 | + | 0.997510i | \(0.477534\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 14.0379 | 0.701018 | 0.350509 | − | 0.936559i | \(-0.386009\pi\) | ||||
0.350509 | + | 0.936559i | \(0.386009\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.3103 | 0.513591 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −24.3279 | −1.20589 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.9272 | 0.886443 | 0.443222 | − | 0.896412i | \(-0.353835\pi\) | ||||
0.443222 | + | 0.896412i | \(0.353835\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −10.6280 | −0.522968 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.223149 | −0.0109539 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 34.5292 | 1.68686 | 0.843431 | − | 0.537238i | \(-0.180532\pi\) | ||||
0.843431 | + | 0.537238i | \(0.180532\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.9257 | −0.629960 | −0.314980 | − | 0.949098i | \(-0.601998\pi\) | ||||
−0.314980 | + | 0.949098i | \(0.601998\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −18.2563 | −0.885562 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 50.8640 | 2.46148 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 14.5498 | 0.700840 | 0.350420 | − | 0.936593i | \(-0.386039\pi\) | ||||
0.350420 | + | 0.936593i | \(0.386039\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −26.2852 | −1.26319 | −0.631593 | − | 0.775300i | \(-0.717599\pi\) | ||||
−0.631593 | + | 0.775300i | \(0.717599\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 3.90302 | 0.186707 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.6733 | 0.604863 | 0.302432 | − | 0.953171i | \(-0.402202\pi\) | ||||
0.302432 | + | 0.953171i | \(0.402202\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9.61838 | 0.456983 | 0.228491 | − | 0.973546i | \(-0.426621\pi\) | ||||
0.228491 | + | 0.973546i | \(0.426621\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 41.4167 | 1.96334 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −19.1273 | −0.902673 | −0.451337 | − | 0.892354i | \(-0.649053\pi\) | ||||
−0.451337 | + | 0.892354i | \(0.649053\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 33.7026 | 1.58699 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 35.7824 | 1.67750 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 37.5083 | 1.75457 | 0.877283 | − | 0.479974i | \(-0.159354\pi\) | ||||
0.877283 | + | 0.479974i | \(0.159354\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.1867 | −0.800466 | −0.400233 | − | 0.916413i | \(-0.631071\pi\) | ||||
−0.400233 | + | 0.916413i | \(0.631071\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −22.8793 | −1.06329 | −0.531646 | − | 0.846967i | \(-0.678426\pi\) | ||||
−0.531646 | + | 0.846967i | \(0.678426\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 33.2033 | 1.53647 | 0.768234 | − | 0.640169i | \(-0.221136\pi\) | ||||
0.768234 | + | 0.640169i | \(0.221136\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 63.4816 | 2.93131 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.10284 | 0.0507088 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.82676 | 0.313233 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −2.08415 | −0.0952273 | −0.0476137 | − | 0.998866i | \(-0.515162\pi\) | ||||
−0.0476137 | + | 0.998866i | \(0.515162\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.8036 | 0.492600 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −42.4297 | −1.92663 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.35539 | −0.197361 | −0.0986807 | − | 0.995119i | \(-0.531462\pi\) | ||||
−0.0986807 | + | 0.995119i | \(0.531462\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.49495 | 0.338242 | 0.169121 | − | 0.985595i | \(-0.445907\pi\) | ||||
0.169121 | + | 0.985595i | \(0.445907\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 18.4760 | 0.832118 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 53.9408 | 2.41957 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −18.1591 | −0.812913 | −0.406456 | − | 0.913670i | \(-0.633236\pi\) | ||||
−0.406456 | + | 0.913670i | \(0.633236\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 9.07749 | 0.404745 | 0.202373 | − | 0.979309i | \(-0.435135\pi\) | ||||
0.202373 | + | 0.979309i | \(0.435135\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.0359676 | −0.00160054 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 2.55113 | 0.113077 | 0.0565384 | − | 0.998400i | \(-0.481994\pi\) | ||||
0.0565384 | + | 0.998400i | \(0.481994\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −79.8807 | −3.53371 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −54.5523 | −2.40386 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −61.3838 | −2.69966 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −4.95834 | −0.217229 | −0.108614 | − | 0.994084i | \(-0.534641\pi\) | ||||
−0.108614 | + | 0.994084i | \(0.534641\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −27.3959 | −1.19794 | −0.598969 | − | 0.800772i | \(-0.704423\pi\) | ||||
−0.598969 | + | 0.800772i | \(0.704423\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 19.0827 | 0.831255 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.0468 | −0.741166 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −14.9667 | −0.648278 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 37.8046 | 1.63444 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 98.1696 | 4.22846 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.78439 | 0.248690 | 0.124345 | − | 0.992239i | \(-0.460317\pi\) | ||||
0.124345 | + | 0.992239i | \(0.460317\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 37.4504 | 1.60420 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −35.0915 | −1.50040 | −0.750202 | − | 0.661209i | \(-0.770044\pi\) | ||||
−0.750202 | + | 0.661209i | \(0.770044\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −6.90891 | −0.294329 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 9.61714 | 0.408962 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −30.1463 | −1.27734 | −0.638671 | − | 0.769480i | \(-0.720515\pi\) | ||||
−0.638671 | + | 0.769480i | \(0.720515\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.489751 | −0.0207142 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −11.3311 | −0.477549 | −0.238775 | − | 0.971075i | \(-0.576746\pi\) | ||||
−0.238775 | + | 0.971075i | \(0.576746\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 35.3067 | 1.48536 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −29.8478 | −1.25129 | −0.625643 | − | 0.780109i | \(-0.715163\pi\) | ||||
−0.625643 | + | 0.780109i | \(0.715163\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 30.5791 | 1.27970 | 0.639848 | − | 0.768501i | \(-0.278997\pi\) | ||||
0.639848 | + | 0.768501i | \(0.278997\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 10.4127 | 0.434240 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 33.7066 | 1.40322 | 0.701611 | − | 0.712560i | \(-0.252464\pi\) | ||||
0.701611 | + | 0.712560i | \(0.252464\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.372768 | 0.0154650 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.81108 | −0.282086 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 29.1916 | 1.20487 | 0.602434 | − | 0.798169i | \(-0.294198\pi\) | ||||
0.602434 | + | 0.798169i | \(0.294198\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.13577 | −0.294024 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −14.7720 | −0.606612 | −0.303306 | − | 0.952893i | \(-0.598090\pi\) | ||||
−0.303306 | + | 0.952893i | \(0.598090\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 66.2275 | 2.71506 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −5.68424 | −0.232252 | −0.116126 | − | 0.993234i | \(-0.537048\pi\) | ||||
−0.116126 | + | 0.993234i | \(0.537048\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −27.7049 | −1.13011 | −0.565054 | − | 0.825054i | \(-0.691145\pi\) | ||||
−0.565054 | + | 0.825054i | \(0.691145\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 48.9784 | 1.99125 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 31.6971 | 1.28655 | 0.643273 | − | 0.765637i | \(-0.277576\pi\) | ||||
0.643273 | + | 0.765637i | \(0.277576\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 27.2593 | 1.10279 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −27.9921 | −1.13059 | −0.565295 | − | 0.824889i | \(-0.691237\pi\) | ||||
−0.565295 | + | 0.824889i | \(0.691237\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.46431 | −0.0992094 | −0.0496047 | − | 0.998769i | \(-0.515796\pi\) | ||||
−0.0496047 | + | 0.998769i | \(0.515796\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 11.3778 | 0.457311 | 0.228656 | − | 0.973507i | \(-0.426567\pi\) | ||||
0.228656 | + | 0.973507i | \(0.426567\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −69.1863 | −2.77189 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −28.1254 | −1.12502 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 19.9957 | 0.797280 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.661698 | 0.0263418 | 0.0131709 | − | 0.999913i | \(-0.495807\pi\) | ||||
0.0131709 | + | 0.999913i | \(0.495807\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −31.6311 | −1.25524 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −43.5952 | −1.72730 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −32.0433 | −1.26564 | −0.632818 | − | 0.774301i | \(-0.718102\pi\) | ||||
−0.632818 | + | 0.774301i | \(0.718102\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −43.1882 | −1.70317 | −0.851587 | − | 0.524213i | \(-0.824360\pi\) | ||||
−0.851587 | + | 0.524213i | \(0.824360\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1.66679 | 0.0655283 | 0.0327642 | − | 0.999463i | \(-0.489569\pi\) | ||||
0.0327642 | + | 0.999463i | \(0.489569\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.8771 | 0.426965 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.25965 | 0.284092 | 0.142046 | − | 0.989860i | \(-0.454632\pi\) | ||||
0.142046 | + | 0.989860i | \(0.454632\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 19.3038 | 0.754262 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.2040 | −0.514353 | −0.257177 | − | 0.966364i | \(-0.582792\pi\) | ||||
−0.257177 | + | 0.966364i | \(0.582792\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.0792928 | −0.00308413 | −0.00154207 | − | 0.999999i | \(-0.500491\pi\) | ||||
−0.00154207 | + | 0.999999i | \(0.500491\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −24.7651 | −0.960349 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.5380 | −0.408033 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −52.0565 | −2.00962 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.33681 | −0.321360 | −0.160680 | − | 0.987007i | \(-0.551369\pi\) | ||||
−0.160680 | + | 0.987007i | \(0.551369\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −11.8503 | −0.455444 | −0.227722 | − | 0.973726i | \(-0.573128\pi\) | ||||
−0.227722 | + | 0.973726i | \(0.573128\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 70.8785 | 2.72007 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 12.5601 | 0.480597 | 0.240298 | − | 0.970699i | \(-0.422755\pi\) | ||||
0.240298 | + | 0.970699i | \(0.422755\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −54.7188 | −2.09070 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.02467 | 0.115231 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 27.0610 | 1.02945 | 0.514724 | − | 0.857356i | \(-0.327894\pi\) | ||||
0.514724 | + | 0.857356i | \(0.327894\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −47.9672 | −1.81950 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −27.7009 | −1.04925 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 45.9613 | 1.73594 | 0.867968 | − | 0.496620i | \(-0.165426\pi\) | ||||
0.867968 | + | 0.496620i | \(0.165426\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −7.47717 | −0.282007 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0.0600837 | 0.00225968 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −8.25749 | −0.310116 | −0.155058 | − | 0.987905i | \(-0.549557\pi\) | ||||
−0.155058 | + | 0.987905i | \(0.549557\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −10.8840 | −0.407610 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −36.6213 | −1.36956 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −14.6033 | −0.544611 | −0.272306 | − | 0.962211i | \(-0.587786\pi\) | ||||
−0.272306 | + | 0.962211i | \(0.587786\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 91.1292 | 3.39383 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −18.4320 | −0.684548 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −43.0804 | −1.59776 | −0.798881 | − | 0.601489i | \(-0.794574\pi\) | ||||
−0.798881 | + | 0.601489i | \(0.794574\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.906451 | −0.0335263 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.5740 | 0.907663 | 0.453831 | − | 0.891088i | \(-0.350057\pi\) | ||||
0.453831 | + | 0.891088i | \(0.350057\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −64.9699 | −2.39320 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.87480 | −0.105751 | −0.0528757 | − | 0.998601i | \(-0.516839\pi\) | ||||
−0.0528757 | + | 0.998601i | \(0.516839\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 34.3105 | 1.25873 | 0.629365 | − | 0.777110i | \(-0.283315\pi\) | ||||
0.629365 | + | 0.777110i | \(0.283315\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −62.4476 | −2.28790 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −63.1523 | −2.30754 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 19.8641 | 0.724851 | 0.362426 | − | 0.932013i | \(-0.381949\pi\) | ||||
0.362426 | + | 0.932013i | \(0.381949\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −10.6579 | −0.387882 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.00475 | −0.327283 | −0.163642 | − | 0.986520i | \(-0.552324\pi\) | ||||
−0.163642 | + | 0.986520i | \(0.552324\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −16.5583 | −0.600237 | −0.300119 | − | 0.953902i | \(-0.597026\pi\) | ||||
−0.300119 | + | 0.953902i | \(0.597026\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −62.5607 | −2.26485 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −4.83032 | −0.174413 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 34.2931 | 1.23664 | 0.618320 | − | 0.785927i | \(-0.287814\pi\) | ||||
0.618320 | + | 0.785927i | \(0.287814\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 28.3661 | 1.02026 | 0.510128 | − | 0.860099i | \(-0.329598\pi\) | ||||
0.510128 | + | 0.860099i | \(0.329598\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.0372 | −0.683838 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 10.3585 | 0.371131 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −55.2054 | −1.97540 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −15.4624 | −0.551876 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 26.9779 | 0.961658 | 0.480829 | − | 0.876814i | \(-0.340336\pi\) | ||||
0.480829 | + | 0.876814i | \(0.340336\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −58.9796 | −2.09707 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.1172 | 0.820918 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 6.97928 | 0.247219 | 0.123609 | − | 0.992331i | \(-0.460553\pi\) | ||||
0.123609 | + | 0.992331i | \(0.460553\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 50.4527 | 1.78489 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 81.7534 | 2.88502 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −37.7737 | −1.33135 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −31.7088 | −1.11482 | −0.557410 | − | 0.830237i | \(-0.688205\pi\) | ||||
−0.557410 | + | 0.830237i | \(0.688205\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 22.6829 | 0.796503 | 0.398252 | − | 0.917276i | \(-0.369617\pi\) | ||||
0.398252 | + | 0.917276i | \(0.369617\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −21.1602 | −0.741210 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.338958 | 0.0118586 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 53.9761 | 1.88378 | 0.941889 | − | 0.335925i | \(-0.109049\pi\) | ||||
0.941889 | + | 0.335925i | \(0.109049\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 45.9530 | 1.60182 | 0.800911 | − | 0.598784i | \(-0.204349\pi\) | ||||
0.800911 | + | 0.598784i | \(0.204349\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −2.83746 | −0.0986681 | −0.0493340 | − | 0.998782i | \(-0.515710\pi\) | ||||
−0.0493340 | + | 0.998782i | \(0.515710\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 37.6293 | 1.30692 | 0.653460 | − | 0.756961i | \(-0.273317\pi\) | ||||
0.653460 | + | 0.756961i | \(0.273317\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −80.6877 | −2.79566 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.04428 | −0.105352 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 9.62932 | 0.332441 | 0.166221 | − | 0.986089i | \(-0.446844\pi\) | ||||
0.166221 | + | 0.986089i | \(0.446844\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.3462 | −0.356765 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −23.3129 | −0.801988 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −81.8180 | −2.81130 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −11.4048 | −0.390950 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −44.1581 | −1.51194 | −0.755972 | − | 0.654604i | \(-0.772836\pi\) | ||||
−0.755972 | + | 0.654604i | \(0.772836\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 46.8099 | 1.59899 | 0.799497 | − | 0.600669i | \(-0.205099\pi\) | ||||
0.799497 | + | 0.600669i | \(0.205099\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.86869 | −0.200237 | −0.100119 | − | 0.994976i | \(-0.531922\pi\) | ||||
−0.100119 | + | 0.994976i | \(0.531922\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 36.0240 | 1.22627 | 0.613135 | − | 0.789978i | \(-0.289908\pi\) | ||||
0.613135 | + | 0.789978i | \(0.289908\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.0646838 | −0.00219931 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −9.84261 | −0.333888 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 28.8518 | 0.977607 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 11.3379 | 0.383290 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.82003 | −0.0614579 | −0.0307290 | − | 0.999528i | \(-0.509783\pi\) | ||||
−0.0307290 | + | 0.999528i | \(0.509783\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 6.46872 | 0.217937 | 0.108968 | − | 0.994045i | \(-0.465245\pi\) | ||||
0.108968 | + | 0.994045i | \(0.465245\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.603541 | −0.0203108 | −0.0101554 | − | 0.999948i | \(-0.503233\pi\) | ||||
−0.0101554 | + | 0.999948i | \(0.503233\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −25.1649 | −0.844956 | −0.422478 | − | 0.906373i | \(-0.638840\pi\) | ||||
−0.422478 | + | 0.906373i | \(0.638840\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 52.8395 | 1.77218 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −18.8663 | −0.631335 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −17.7436 | −0.593103 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 19.2663 | 0.642568 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.59818 | 0.186502 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 76.5859 | 2.54580 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.167564 | −0.00556388 | −0.00278194 | − | 0.999996i | \(-0.500886\pi\) | ||||
−0.00278194 | + | 0.999996i | \(0.500886\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 29.5214 | 0.978087 | 0.489043 | − | 0.872259i | \(-0.337346\pi\) | ||||
0.489043 | + | 0.872259i | \(0.337346\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.381507 | −0.0126260 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −32.2469 | −1.06488 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −17.2206 | −0.568055 | −0.284028 | − | 0.958816i | \(-0.591671\pi\) | ||||
−0.284028 | + | 0.958816i | \(0.591671\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 24.5156 | 0.806941 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −19.9481 | −0.655888 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −6.90753 | −0.226629 | −0.113314 | − | 0.993559i | \(-0.536147\pi\) | ||||
−0.113314 | + | 0.993559i | \(0.536147\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 30.1723 | 0.988858 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −67.7802 | −2.21665 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −7.54846 | −0.246598 | −0.123299 | − | 0.992370i | \(-0.539347\pi\) | ||||
−0.123299 | + | 0.992370i | \(0.539347\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −10.7147 | −0.349291 | −0.174645 | − | 0.984631i | \(-0.555878\pi\) | ||||
−0.174645 | + | 0.984631i | \(0.555878\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 15.7996 | 0.514504 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.7102 | −0.867963 | −0.433982 | − | 0.900922i | \(-0.642892\pi\) | ||||
−0.433982 | + | 0.900922i | \(0.642892\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −36.3051 | −1.17851 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −19.5038 | −0.631790 | −0.315895 | − | 0.948794i | \(-0.602305\pi\) | ||||
−0.315895 | + | 0.948794i | \(0.602305\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −58.5374 | −1.89423 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 91.4073 | 2.95169 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −11.1010 | −0.358098 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2.41958 | −0.0778891 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 34.5578 | 1.11130 | 0.555652 | − | 0.831415i | \(-0.312469\pi\) | ||||
0.555652 | + | 0.831415i | \(0.312469\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −60.5841 | −1.94424 | −0.972118 | − | 0.234492i | \(-0.924657\pi\) | ||||
−0.972118 | + | 0.234492i | \(0.924657\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 80.1289 | 2.56881 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −8.77067 | −0.280599 | −0.140299 | − | 0.990109i | \(-0.544806\pi\) | ||||
−0.140299 | + | 0.990109i | \(0.544806\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 70.8083 | 2.26304 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 24.5528 | 0.783114 | 0.391557 | − | 0.920154i | \(-0.371937\pi\) | ||||
0.391557 | + | 0.920154i | \(0.371937\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 43.3729 | 1.38198 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.517005 | 0.0164398 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.90644 | −0.251156 | −0.125578 | − | 0.992084i | \(-0.540079\pi\) | ||||
−0.125578 | + | 0.992084i | \(0.540079\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −26.6217 | −0.843963 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 26.5355 | 0.840387 | 0.420193 | − | 0.907435i | \(-0.361962\pi\) | ||||
0.420193 | + | 0.907435i | \(0.361962\pi\) | |||||||
\(998\) | 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.g.1.7 | 7 | ||
3.2 | odd | 2 | 668.2.a.c.1.7 | ✓ | 7 | ||
12.11 | even | 2 | 2672.2.a.k.1.1 | 7 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
668.2.a.c.1.7 | ✓ | 7 | 3.2 | odd | 2 | ||
2672.2.a.k.1.1 | 7 | 12.11 | even | 2 | |||
6012.2.a.g.1.7 | 7 | 1.1 | even | 1 | trivial |