Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6039,2,Mod(1,6039)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6039, 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("6039.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6039 = 3^{2} \cdot 11 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6039.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: | \(48.2216577807\) |
Analytic rank: | \(0\) |
Dimension: | \(25\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.17 | ||
Character | \(\chi\) | \(=\) | 6039.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.18061 | 0.834818 | 0.417409 | − | 0.908719i | \(-0.362938\pi\) | ||||
0.417409 | + | 0.908719i | \(0.362938\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.606158 | −0.303079 | ||||||||
\(5\) | −0.892999 | −0.399361 | −0.199681 | − | 0.979861i | \(-0.563990\pi\) | ||||
−0.199681 | + | 0.979861i | \(0.563990\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −4.86985 | −1.84063 | −0.920316 | − | 0.391176i | \(-0.872069\pi\) | ||||
−0.920316 | + | 0.391176i | \(0.872069\pi\) | |||||||
\(8\) | −3.07686 | −1.08783 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.05428 | −0.333394 | ||||||||
\(11\) | −1.00000 | −0.301511 | ||||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.04408 | −0.566925 | −0.283463 | − | 0.958983i | \(-0.591483\pi\) | ||||
−0.283463 | + | 0.958983i | \(0.591483\pi\) | |||||||
\(14\) | −5.74940 | −1.53659 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.42026 | −0.605065 | ||||||||
\(17\) | 0.0469432 | 0.0113854 | 0.00569269 | − | 0.999984i | \(-0.498188\pi\) | ||||
0.00569269 | + | 0.999984i | \(0.498188\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.61003 | −1.28703 | −0.643514 | − | 0.765434i | \(-0.722524\pi\) | ||||
−0.643514 | + | 0.765434i | \(0.722524\pi\) | |||||||
\(20\) | 0.541298 | 0.121038 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.18061 | −0.251707 | ||||||||
\(23\) | −5.07449 | −1.05810 | −0.529052 | − | 0.848590i | \(-0.677452\pi\) | ||||
−0.529052 | + | 0.848590i | \(0.677452\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.20255 | −0.840510 | ||||||||
\(26\) | −2.41326 | −0.473279 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.95190 | 0.557857 | ||||||||
\(29\) | −8.04512 | −1.49394 | −0.746970 | − | 0.664857i | \(-0.768492\pi\) | ||||
−0.746970 | + | 0.664857i | \(0.768492\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 6.36277 | 1.14279 | 0.571393 | − | 0.820676i | \(-0.306403\pi\) | ||||
0.571393 | + | 0.820676i | \(0.306403\pi\) | |||||||
\(32\) | 3.29633 | 0.582715 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.0554216 | 0.00950473 | ||||||||
\(35\) | 4.34878 | 0.735077 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.41813 | 1.05513 | 0.527567 | − | 0.849514i | \(-0.323104\pi\) | ||||
0.527567 | + | 0.849514i | \(0.323104\pi\) | |||||||
\(38\) | −6.62326 | −1.07443 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.74763 | 0.434439 | ||||||||
\(41\) | −0.619902 | −0.0968125 | −0.0484062 | − | 0.998828i | \(-0.515414\pi\) | ||||
−0.0484062 | + | 0.998828i | \(0.515414\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.82600 | −1.34595 | −0.672976 | − | 0.739664i | \(-0.734984\pi\) | ||||
−0.672976 | + | 0.739664i | \(0.734984\pi\) | |||||||
\(44\) | 0.606158 | 0.0913817 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.99099 | −0.883324 | ||||||||
\(47\) | −5.24012 | −0.764350 | −0.382175 | − | 0.924090i | \(-0.624825\pi\) | ||||
−0.382175 | + | 0.924090i | \(0.624825\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 16.7155 | 2.38793 | ||||||||
\(50\) | −4.96158 | −0.701673 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.23903 | 0.171823 | ||||||||
\(53\) | 10.2366 | 1.40611 | 0.703053 | − | 0.711137i | \(-0.251819\pi\) | ||||
0.703053 | + | 0.711137i | \(0.251819\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.892999 | 0.120412 | ||||||||
\(56\) | 14.9839 | 2.00230 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −9.49815 | −1.24717 | ||||||||
\(59\) | −8.39059 | −1.09236 | −0.546181 | − | 0.837667i | \(-0.683919\pi\) | ||||
−0.546181 | + | 0.837667i | \(0.683919\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.00000 | 0.128037 | ||||||||
\(62\) | 7.51195 | 0.954019 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.73220 | 1.09153 | ||||||||
\(65\) | 1.82536 | 0.226408 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.06778 | 0.130450 | 0.0652250 | − | 0.997871i | \(-0.479223\pi\) | ||||
0.0652250 | + | 0.997871i | \(0.479223\pi\) | |||||||
\(68\) | −0.0284549 | −0.00345067 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.13421 | 0.613656 | ||||||||
\(71\) | −4.12438 | −0.489474 | −0.244737 | − | 0.969589i | \(-0.578702\pi\) | ||||
−0.244737 | + | 0.969589i | \(0.578702\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.37393 | 0.863054 | 0.431527 | − | 0.902100i | \(-0.357975\pi\) | ||||
0.431527 | + | 0.902100i | \(0.357975\pi\) | |||||||
\(74\) | 7.57731 | 0.880845 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.40056 | 0.390071 | ||||||||
\(77\) | 4.86985 | 0.554971 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −12.2271 | −1.37566 | −0.687831 | − | 0.725871i | \(-0.741437\pi\) | ||||
−0.687831 | + | 0.725871i | \(0.741437\pi\) | |||||||
\(80\) | 2.16129 | 0.241639 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.731863 | −0.0808208 | ||||||||
\(83\) | −3.44275 | −0.377891 | −0.188945 | − | 0.981988i | \(-0.560507\pi\) | ||||
−0.188945 | + | 0.981988i | \(0.560507\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.0419202 | −0.00454688 | ||||||||
\(86\) | −10.4201 | −1.12363 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.07686 | 0.327994 | ||||||||
\(89\) | 15.1497 | 1.60586 | 0.802931 | − | 0.596072i | \(-0.203273\pi\) | ||||
0.802931 | + | 0.596072i | \(0.203273\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.95436 | 1.04350 | ||||||||
\(92\) | 3.07594 | 0.320689 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.18655 | −0.638094 | ||||||||
\(95\) | 5.00975 | 0.513990 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.25811 | 0.736950 | 0.368475 | − | 0.929638i | \(-0.379880\pi\) | ||||
0.368475 | + | 0.929638i | \(0.379880\pi\) | |||||||
\(98\) | 19.7345 | 1.99348 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.54741 | 0.254741 | ||||||||
\(101\) | 9.91171 | 0.986252 | 0.493126 | − | 0.869958i | \(-0.335854\pi\) | ||||
0.493126 | + | 0.869958i | \(0.335854\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.40216 | 0.138159 | 0.0690796 | − | 0.997611i | \(-0.477994\pi\) | ||||
0.0690796 | + | 0.997611i | \(0.477994\pi\) | |||||||
\(104\) | 6.28934 | 0.616720 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.0855 | 1.17384 | ||||||||
\(107\) | −15.8138 | −1.52878 | −0.764388 | − | 0.644757i | \(-0.776959\pi\) | ||||
−0.764388 | + | 0.644757i | \(0.776959\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −20.0582 | −1.92123 | −0.960616 | − | 0.277880i | \(-0.910368\pi\) | ||||
−0.960616 | + | 0.277880i | \(0.910368\pi\) | |||||||
\(110\) | 1.05428 | 0.100522 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.7863 | 1.11370 | ||||||||
\(113\) | −0.838803 | −0.0789079 | −0.0394540 | − | 0.999221i | \(-0.512562\pi\) | ||||
−0.0394540 | + | 0.999221i | \(0.512562\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.53151 | 0.422566 | ||||||||
\(116\) | 4.87661 | 0.452782 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −9.90603 | −0.911924 | ||||||||
\(119\) | −0.228606 | −0.0209563 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.00000 | 0.0909091 | ||||||||
\(122\) | 1.18061 | 0.106888 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.85684 | −0.346354 | ||||||||
\(125\) | 8.21787 | 0.735029 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.84557 | 0.429975 | 0.214988 | − | 0.976617i | \(-0.431029\pi\) | ||||
0.214988 | + | 0.976617i | \(0.431029\pi\) | |||||||
\(128\) | 3.71667 | 0.328510 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.15504 | 0.189009 | ||||||||
\(131\) | −3.13067 | −0.273528 | −0.136764 | − | 0.990604i | \(-0.543670\pi\) | ||||
−0.136764 | + | 0.990604i | \(0.543670\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 27.3200 | 2.36895 | ||||||||
\(134\) | 1.26063 | 0.108902 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.144437 | −0.0123854 | ||||||||
\(137\) | −6.40919 | −0.547574 | −0.273787 | − | 0.961790i | \(-0.588276\pi\) | ||||
−0.273787 | + | 0.961790i | \(0.588276\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.30859 | −0.195812 | −0.0979058 | − | 0.995196i | \(-0.531214\pi\) | ||||
−0.0979058 | + | 0.995196i | \(0.531214\pi\) | |||||||
\(140\) | −2.63604 | −0.222786 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.86929 | −0.408622 | ||||||||
\(143\) | 2.04408 | 0.170934 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.18428 | 0.596622 | ||||||||
\(146\) | 8.70575 | 0.720493 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.89040 | −0.319789 | ||||||||
\(149\) | 20.7506 | 1.69996 | 0.849979 | − | 0.526817i | \(-0.176615\pi\) | ||||
0.849979 | + | 0.526817i | \(0.176615\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.92540 | 0.319445 | 0.159722 | − | 0.987162i | \(-0.448940\pi\) | ||||
0.159722 | + | 0.987162i | \(0.448940\pi\) | |||||||
\(152\) | 17.2613 | 1.40007 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.74940 | 0.463300 | ||||||||
\(155\) | −5.68194 | −0.456385 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.487164 | −0.0388799 | −0.0194400 | − | 0.999811i | \(-0.506188\pi\) | ||||
−0.0194400 | + | 0.999811i | \(0.506188\pi\) | |||||||
\(158\) | −14.4355 | −1.14843 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.94362 | −0.232714 | ||||||||
\(161\) | 24.7120 | 1.94758 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.64283 | 0.207003 | 0.103501 | − | 0.994629i | \(-0.466995\pi\) | ||||
0.103501 | + | 0.994629i | \(0.466995\pi\) | |||||||
\(164\) | 0.375758 | 0.0293418 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.06455 | −0.315470 | ||||||||
\(167\) | −18.1527 | −1.40469 | −0.702347 | − | 0.711834i | \(-0.747865\pi\) | ||||
−0.702347 | + | 0.711834i | \(0.747865\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.82175 | −0.678596 | ||||||||
\(170\) | −0.0494915 | −0.00379582 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.34995 | 0.407930 | ||||||||
\(173\) | −16.4825 | −1.25314 | −0.626569 | − | 0.779366i | \(-0.715541\pi\) | ||||
−0.626569 | + | 0.779366i | \(0.715541\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 20.4658 | 1.54707 | ||||||||
\(176\) | 2.42026 | 0.182434 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 17.8859 | 1.34060 | ||||||||
\(179\) | −23.4879 | −1.75557 | −0.877784 | − | 0.479057i | \(-0.840979\pi\) | ||||
−0.877784 | + | 0.479057i | \(0.840979\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.8902 | −0.883795 | −0.441898 | − | 0.897066i | \(-0.645695\pi\) | ||||
−0.441898 | + | 0.897066i | \(0.645695\pi\) | |||||||
\(182\) | 11.7522 | 0.871133 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 15.6135 | 1.15104 | ||||||||
\(185\) | −5.73138 | −0.421380 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.0469432 | −0.00343282 | ||||||||
\(188\) | 3.17634 | 0.231658 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.91457 | 0.429088 | ||||||||
\(191\) | 17.8085 | 1.28858 | 0.644290 | − | 0.764782i | \(-0.277153\pi\) | ||||
0.644290 | + | 0.764782i | \(0.277153\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −19.3340 | −1.39169 | −0.695847 | − | 0.718190i | \(-0.744971\pi\) | ||||
−0.695847 | + | 0.718190i | \(0.744971\pi\) | |||||||
\(194\) | 8.56901 | 0.615219 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.1322 | −0.723730 | ||||||||
\(197\) | −8.78179 | −0.625676 | −0.312838 | − | 0.949806i | \(-0.601280\pi\) | ||||
−0.312838 | + | 0.949806i | \(0.601280\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.3247 | 0.944561 | 0.472280 | − | 0.881448i | \(-0.343431\pi\) | ||||
0.472280 | + | 0.881448i | \(0.343431\pi\) | |||||||
\(200\) | 12.9307 | 0.914336 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.7019 | 0.823341 | ||||||||
\(203\) | 39.1786 | 2.74980 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.553572 | 0.0386632 | ||||||||
\(206\) | 1.65541 | 0.115338 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 4.94720 | 0.343026 | ||||||||
\(209\) | 5.61003 | 0.388054 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 25.8412 | 1.77898 | 0.889490 | − | 0.456954i | \(-0.151060\pi\) | ||||
0.889490 | + | 0.456954i | \(0.151060\pi\) | |||||||
\(212\) | −6.20500 | −0.426161 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −18.6699 | −1.27625 | ||||||||
\(215\) | 7.88161 | 0.537521 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −30.9857 | −2.10345 | ||||||||
\(218\) | −23.6810 | −1.60388 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.541298 | −0.0364943 | ||||||||
\(221\) | −0.0959555 | −0.00645466 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.872328 | 0.0584154 | 0.0292077 | − | 0.999573i | \(-0.490702\pi\) | ||||
0.0292077 | + | 0.999573i | \(0.490702\pi\) | |||||||
\(224\) | −16.0527 | −1.07256 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.990300 | −0.0658738 | ||||||||
\(227\) | 11.0157 | 0.731137 | 0.365568 | − | 0.930785i | \(-0.380875\pi\) | ||||
0.365568 | + | 0.930785i | \(0.380875\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.0678 | −1.12787 | −0.563937 | − | 0.825818i | \(-0.690714\pi\) | ||||
−0.563937 | + | 0.825818i | \(0.690714\pi\) | |||||||
\(230\) | 5.34995 | 0.352765 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 24.7537 | 1.62516 | ||||||||
\(233\) | 14.8849 | 0.975139 | 0.487569 | − | 0.873084i | \(-0.337884\pi\) | ||||
0.487569 | + | 0.873084i | \(0.337884\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.67942 | 0.305252 | ||||||||
\(236\) | 5.08602 | 0.331072 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.269895 | −0.0174947 | ||||||||
\(239\) | 15.5474 | 1.00568 | 0.502840 | − | 0.864379i | \(-0.332288\pi\) | ||||
0.502840 | + | 0.864379i | \(0.332288\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.64687 | 0.170500 | 0.0852499 | − | 0.996360i | \(-0.472831\pi\) | ||||
0.0852499 | + | 0.996360i | \(0.472831\pi\) | |||||||
\(242\) | 1.18061 | 0.0758926 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.606158 | −0.0388053 | ||||||||
\(245\) | −14.9269 | −0.953646 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 11.4673 | 0.729649 | ||||||||
\(248\) | −19.5773 | −1.24316 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.70211 | 0.613615 | ||||||||
\(251\) | 12.5987 | 0.795225 | 0.397613 | − | 0.917553i | \(-0.369839\pi\) | ||||
0.397613 | + | 0.917553i | \(0.369839\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.07449 | 0.319030 | ||||||||
\(254\) | 5.72074 | 0.358951 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.0765 | −0.817279 | ||||||||
\(257\) | 23.1534 | 1.44427 | 0.722136 | − | 0.691751i | \(-0.243161\pi\) | ||||
0.722136 | + | 0.691751i | \(0.243161\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −31.2553 | −1.94211 | ||||||||
\(260\) | −1.10646 | −0.0686195 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.69611 | −0.228346 | ||||||||
\(263\) | 12.7818 | 0.788162 | 0.394081 | − | 0.919076i | \(-0.371063\pi\) | ||||
0.394081 | + | 0.919076i | \(0.371063\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.14129 | −0.561545 | ||||||||
\(266\) | 32.2543 | 1.97764 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.647242 | −0.0395366 | ||||||||
\(269\) | 25.7058 | 1.56731 | 0.783657 | − | 0.621194i | \(-0.213352\pi\) | ||||
0.783657 | + | 0.621194i | \(0.213352\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −23.1665 | −1.40727 | −0.703633 | − | 0.710563i | \(-0.748440\pi\) | ||||
−0.703633 | + | 0.710563i | \(0.748440\pi\) | |||||||
\(272\) | −0.113615 | −0.00688889 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.56677 | −0.457125 | ||||||||
\(275\) | 4.20255 | 0.253423 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 6.71679 | 0.403573 | 0.201786 | − | 0.979430i | \(-0.435325\pi\) | ||||
0.201786 | + | 0.979430i | \(0.435325\pi\) | |||||||
\(278\) | −2.72554 | −0.163467 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −13.3806 | −0.799642 | ||||||||
\(281\) | −4.91544 | −0.293230 | −0.146615 | − | 0.989194i | \(-0.546838\pi\) | ||||
−0.146615 | + | 0.989194i | \(0.546838\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 28.7706 | 1.71024 | 0.855119 | − | 0.518433i | \(-0.173484\pi\) | ||||
0.855119 | + | 0.518433i | \(0.173484\pi\) | |||||||
\(284\) | 2.50003 | 0.148349 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.41326 | 0.142699 | ||||||||
\(287\) | 3.01883 | 0.178196 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.9978 | −0.999870 | ||||||||
\(290\) | 8.48184 | 0.498071 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −4.46977 | −0.261573 | ||||||||
\(293\) | −1.04284 | −0.0609233 | −0.0304617 | − | 0.999536i | \(-0.509698\pi\) | ||||
−0.0304617 | + | 0.999536i | \(0.509698\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.49279 | 0.436247 | ||||||||
\(296\) | −19.7477 | −1.14781 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 24.4984 | 1.41916 | ||||||||
\(299\) | 10.3726 | 0.599865 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 42.9813 | 2.47740 | ||||||||
\(302\) | 4.63437 | 0.266678 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 13.5777 | 0.778735 | ||||||||
\(305\) | −0.892999 | −0.0511330 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −19.4653 | −1.11094 | −0.555471 | − | 0.831536i | \(-0.687462\pi\) | ||||
−0.555471 | + | 0.831536i | \(0.687462\pi\) | |||||||
\(308\) | −2.95190 | −0.168200 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.70817 | −0.380998 | ||||||||
\(311\) | 11.4265 | 0.647936 | 0.323968 | − | 0.946068i | \(-0.394983\pi\) | ||||
0.323968 | + | 0.946068i | \(0.394983\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.09920 | 0.514317 | 0.257159 | − | 0.966369i | \(-0.417214\pi\) | ||||
0.257159 | + | 0.966369i | \(0.417214\pi\) | |||||||
\(314\) | −0.575151 | −0.0324577 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.41158 | 0.416934 | ||||||||
\(317\) | −14.0653 | −0.789985 | −0.394992 | − | 0.918684i | \(-0.629253\pi\) | ||||
−0.394992 | + | 0.918684i | \(0.629253\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.04512 | 0.450440 | ||||||||
\(320\) | −7.79785 | −0.435913 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 29.1753 | 1.62587 | ||||||||
\(323\) | −0.263352 | −0.0146533 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.59034 | 0.476506 | ||||||||
\(326\) | 3.12016 | 0.172810 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.90735 | 0.105316 | ||||||||
\(329\) | 25.5186 | 1.40689 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.3873 | 0.900725 | 0.450363 | − | 0.892846i | \(-0.351295\pi\) | ||||
0.450363 | + | 0.892846i | \(0.351295\pi\) | |||||||
\(332\) | 2.08685 | 0.114531 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −21.4312 | −1.17266 | ||||||||
\(335\) | −0.953526 | −0.0520967 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.92107 | −0.377015 | −0.188507 | − | 0.982072i | \(-0.560365\pi\) | ||||
−0.188507 | + | 0.982072i | \(0.560365\pi\) | |||||||
\(338\) | −10.4151 | −0.566504 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.0254102 | 0.00137806 | ||||||||
\(341\) | −6.36277 | −0.344563 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −47.3130 | −2.55466 | ||||||||
\(344\) | 27.1564 | 1.46417 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.4594 | −1.04614 | ||||||||
\(347\) | 23.8951 | 1.28276 | 0.641378 | − | 0.767225i | \(-0.278363\pi\) | ||||
0.641378 | + | 0.767225i | \(0.278363\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −25.9784 | −1.39059 | −0.695296 | − | 0.718723i | \(-0.744727\pi\) | ||||
−0.695296 | + | 0.718723i | \(0.744727\pi\) | |||||||
\(350\) | 24.1622 | 1.29152 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.29633 | −0.175695 | ||||||||
\(353\) | 11.3695 | 0.605136 | 0.302568 | − | 0.953128i | \(-0.402156\pi\) | ||||
0.302568 | + | 0.953128i | \(0.402156\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.68307 | 0.195477 | ||||||||
\(356\) | −9.18309 | −0.486703 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −27.7301 | −1.46558 | ||||||||
\(359\) | 2.89034 | 0.152546 | 0.0762731 | − | 0.997087i | \(-0.475698\pi\) | ||||
0.0762731 | + | 0.997087i | \(0.475698\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 12.4724 | 0.656443 | ||||||||
\(362\) | −14.0378 | −0.737808 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.03391 | −0.316263 | ||||||||
\(365\) | −6.58492 | −0.344670 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.6261 | −0.554677 | −0.277338 | − | 0.960772i | \(-0.589452\pi\) | ||||
−0.277338 | + | 0.960772i | \(0.589452\pi\) | |||||||
\(368\) | 12.2816 | 0.640221 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −6.76653 | −0.351775 | ||||||||
\(371\) | −49.8508 | −2.58813 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −36.1012 | −1.86925 | −0.934625 | − | 0.355635i | \(-0.884265\pi\) | ||||
−0.934625 | + | 0.355635i | \(0.884265\pi\) | |||||||
\(374\) | −0.0554216 | −0.00286578 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 16.1231 | 0.831486 | ||||||||
\(377\) | 16.4448 | 0.846952 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −21.8570 | −1.12272 | −0.561358 | − | 0.827573i | \(-0.689721\pi\) | ||||
−0.561358 | + | 0.827573i | \(0.689721\pi\) | |||||||
\(380\) | −3.03670 | −0.155779 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 21.0249 | 1.07573 | ||||||||
\(383\) | −19.2311 | −0.982662 | −0.491331 | − | 0.870973i | \(-0.663490\pi\) | ||||
−0.491331 | + | 0.870973i | \(0.663490\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −4.34878 | −0.221634 | ||||||||
\(386\) | −22.8260 | −1.16181 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −4.39956 | −0.223354 | ||||||||
\(389\) | −33.5284 | −1.69996 | −0.849978 | − | 0.526818i | \(-0.823385\pi\) | ||||
−0.849978 | + | 0.526818i | \(0.823385\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.238212 | −0.0120469 | ||||||||
\(392\) | −51.4312 | −2.59767 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.3679 | −0.522326 | ||||||||
\(395\) | 10.9188 | 0.549386 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −19.1981 | −0.963527 | −0.481763 | − | 0.876301i | \(-0.660004\pi\) | ||||
−0.481763 | + | 0.876301i | \(0.660004\pi\) | |||||||
\(398\) | 15.7313 | 0.788537 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 10.1713 | 0.508563 | ||||||||
\(401\) | −30.0691 | −1.50158 | −0.750790 | − | 0.660541i | \(-0.770327\pi\) | ||||
−0.750790 | + | 0.660541i | \(0.770327\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.0060 | −0.647874 | ||||||||
\(404\) | −6.00806 | −0.298912 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 46.2546 | 2.29558 | ||||||||
\(407\) | −6.41813 | −0.318135 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 34.3213 | 1.69708 | 0.848540 | − | 0.529132i | \(-0.177482\pi\) | ||||
0.848540 | + | 0.529132i | \(0.177482\pi\) | |||||||
\(410\) | 0.653553 | 0.0322767 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.849931 | −0.0418731 | ||||||||
\(413\) | 40.8610 | 2.01064 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.07437 | 0.150915 | ||||||||
\(416\) | −6.73796 | −0.330356 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6.62326 | 0.323954 | ||||||||
\(419\) | 10.3143 | 0.503888 | 0.251944 | − | 0.967742i | \(-0.418930\pi\) | ||||
0.251944 | + | 0.967742i | \(0.418930\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 22.2424 | 1.08403 | 0.542015 | − | 0.840369i | \(-0.317662\pi\) | ||||
0.542015 | + | 0.840369i | \(0.317662\pi\) | |||||||
\(422\) | 30.5084 | 1.48513 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −31.4966 | −1.52961 | ||||||||
\(425\) | −0.197281 | −0.00956954 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.86985 | −0.235669 | ||||||||
\(428\) | 9.58564 | 0.463339 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 9.30512 | 0.448733 | ||||||||
\(431\) | 4.84237 | 0.233249 | 0.116624 | − | 0.993176i | \(-0.462793\pi\) | ||||
0.116624 | + | 0.993176i | \(0.462793\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −22.1908 | −1.06642 | −0.533211 | − | 0.845982i | \(-0.679015\pi\) | ||||
−0.533211 | + | 0.845982i | \(0.679015\pi\) | |||||||
\(434\) | −36.5821 | −1.75600 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 12.1585 | 0.582284 | ||||||||
\(437\) | 28.4680 | 1.36181 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −32.7712 | −1.56408 | −0.782042 | − | 0.623226i | \(-0.785822\pi\) | ||||
−0.782042 | + | 0.623226i | \(0.785822\pi\) | |||||||
\(440\) | −2.74763 | −0.130988 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.113286 | −0.00538847 | ||||||||
\(443\) | −32.5209 | −1.54511 | −0.772557 | − | 0.634945i | \(-0.781023\pi\) | ||||
−0.772557 | + | 0.634945i | \(0.781023\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −13.5286 | −0.641319 | ||||||||
\(446\) | 1.02988 | 0.0487662 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −42.5246 | −2.00910 | ||||||||
\(449\) | 22.9213 | 1.08172 | 0.540861 | − | 0.841112i | \(-0.318098\pi\) | ||||
0.540861 | + | 0.841112i | \(0.318098\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.619902 | 0.0291901 | ||||||||
\(452\) | 0.508447 | 0.0239153 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 13.0052 | 0.610366 | ||||||||
\(455\) | −8.88924 | −0.416734 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.29516 | 0.341253 | 0.170627 | − | 0.985336i | \(-0.445421\pi\) | ||||
0.170627 | + | 0.985336i | \(0.445421\pi\) | |||||||
\(458\) | −20.1505 | −0.941570 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −2.74681 | −0.128071 | ||||||||
\(461\) | −14.3569 | −0.668666 | −0.334333 | − | 0.942455i | \(-0.608511\pi\) | ||||
−0.334333 | + | 0.942455i | \(0.608511\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 22.2605 | 1.03453 | 0.517265 | − | 0.855825i | \(-0.326950\pi\) | ||||
0.517265 | + | 0.855825i | \(0.326950\pi\) | |||||||
\(464\) | 19.4713 | 0.903930 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 17.5732 | 0.814064 | ||||||||
\(467\) | −8.21946 | −0.380351 | −0.190176 | − | 0.981750i | \(-0.560906\pi\) | ||||
−0.190176 | + | 0.981750i | \(0.560906\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.19993 | −0.240110 | ||||||||
\(470\) | 5.52458 | 0.254830 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 25.8167 | 1.18831 | ||||||||
\(473\) | 8.82600 | 0.405820 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 23.5764 | 1.08176 | ||||||||
\(476\) | 0.138571 | 0.00635141 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 18.3555 | 0.839561 | ||||||||
\(479\) | 0.741402 | 0.0338755 | 0.0169378 | − | 0.999857i | \(-0.494608\pi\) | ||||
0.0169378 | + | 0.999857i | \(0.494608\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −13.1191 | −0.598182 | ||||||||
\(482\) | 3.12492 | 0.142336 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −0.606158 | −0.0275526 | ||||||||
\(485\) | −6.48149 | −0.294309 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.31688 | −0.331559 | −0.165780 | − | 0.986163i | \(-0.553014\pi\) | ||||
−0.165780 | + | 0.986163i | \(0.553014\pi\) | |||||||
\(488\) | −3.07686 | −0.139283 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −17.6229 | −0.796121 | ||||||||
\(491\) | −9.44139 | −0.426084 | −0.213042 | − | 0.977043i | \(-0.568337\pi\) | ||||
−0.213042 | + | 0.977043i | \(0.568337\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.377663 | −0.0170091 | ||||||||
\(494\) | 13.5385 | 0.609124 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −15.3995 | −0.691459 | ||||||||
\(497\) | 20.0851 | 0.900942 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.78042 | −0.303533 | −0.151767 | − | 0.988416i | \(-0.548496\pi\) | ||||
−0.151767 | + | 0.988416i | \(0.548496\pi\) | |||||||
\(500\) | −4.98132 | −0.222772 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 14.8742 | 0.663868 | ||||||||
\(503\) | −13.9283 | −0.621032 | −0.310516 | − | 0.950568i | \(-0.600502\pi\) | ||||
−0.310516 | + | 0.950568i | \(0.600502\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.85115 | −0.393871 | ||||||||
\(506\) | 5.99099 | 0.266332 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.93718 | −0.130316 | ||||||||
\(509\) | −10.3637 | −0.459364 | −0.229682 | − | 0.973266i | \(-0.573769\pi\) | ||||
−0.229682 | + | 0.973266i | \(0.573769\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −35.9100 | −1.58856 | ||||||||
\(512\) | −22.8716 | −1.01079 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 27.3352 | 1.20570 | ||||||||
\(515\) | −1.25213 | −0.0551754 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.24012 | 0.230460 | ||||||||
\(518\) | −36.9004 | −1.62131 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.61637 | −0.246294 | ||||||||
\(521\) | 25.4751 | 1.11608 | 0.558042 | − | 0.829813i | \(-0.311553\pi\) | ||||
0.558042 | + | 0.829813i | \(0.311553\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.4023 | −0.498589 | −0.249295 | − | 0.968428i | \(-0.580199\pi\) | ||||
−0.249295 | + | 0.968428i | \(0.580199\pi\) | |||||||
\(524\) | 1.89768 | 0.0829005 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 15.0904 | 0.657972 | ||||||||
\(527\) | 0.298688 | 0.0130111 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.75040 | 0.119583 | ||||||||
\(530\) | −10.7923 | −0.468788 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −16.5602 | −0.717977 | ||||||||
\(533\) | 1.26713 | 0.0548854 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.1217 | 0.610534 | ||||||||
\(536\) | −3.28540 | −0.141908 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 30.3486 | 1.30842 | ||||||||
\(539\) | −16.7155 | −0.719987 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −32.0169 | −1.37651 | −0.688256 | − | 0.725468i | \(-0.741624\pi\) | ||||
−0.688256 | + | 0.725468i | \(0.741624\pi\) | |||||||
\(542\) | −27.3507 | −1.17481 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.154740 | 0.00663444 | ||||||||
\(545\) | 17.9120 | 0.767266 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 30.7414 | 1.31441 | 0.657204 | − | 0.753713i | \(-0.271739\pi\) | ||||
0.657204 | + | 0.753713i | \(0.271739\pi\) | |||||||
\(548\) | 3.88498 | 0.165958 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 4.96158 | 0.211562 | ||||||||
\(551\) | 45.1333 | 1.92274 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 59.5444 | 2.53209 | ||||||||
\(554\) | 7.92992 | 0.336910 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.39937 | 0.0593464 | ||||||||
\(557\) | −18.4676 | −0.782498 | −0.391249 | − | 0.920285i | \(-0.627957\pi\) | ||||
−0.391249 | + | 0.920285i | \(0.627957\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 18.0410 | 0.763054 | ||||||||
\(560\) | −10.5252 | −0.444769 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.80322 | −0.244794 | ||||||||
\(563\) | −35.9020 | −1.51309 | −0.756544 | − | 0.653942i | \(-0.773114\pi\) | ||||
−0.756544 | + | 0.653942i | \(0.773114\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.749050 | 0.0315128 | ||||||||
\(566\) | 33.9669 | 1.42774 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 12.6901 | 0.532467 | ||||||||
\(569\) | 19.1639 | 0.803394 | 0.401697 | − | 0.915773i | \(-0.368420\pi\) | ||||
0.401697 | + | 0.915773i | \(0.368420\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −42.6413 | −1.78448 | −0.892242 | − | 0.451557i | \(-0.850869\pi\) | ||||
−0.892242 | + | 0.451557i | \(0.850869\pi\) | |||||||
\(572\) | −1.23903 | −0.0518066 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.56407 | 0.148761 | ||||||||
\(575\) | 21.3258 | 0.889347 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −44.7459 | −1.86280 | −0.931399 | − | 0.364000i | \(-0.881411\pi\) | ||||
−0.931399 | + | 0.364000i | \(0.881411\pi\) | |||||||
\(578\) | −20.0678 | −0.834710 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.35481 | −0.180824 | ||||||||
\(581\) | 16.7657 | 0.695558 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −10.2366 | −0.423957 | ||||||||
\(584\) | −22.6886 | −0.938859 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.23119 | −0.0508599 | ||||||||
\(587\) | 36.1115 | 1.49048 | 0.745240 | − | 0.666797i | \(-0.232335\pi\) | ||||
0.745240 | + | 0.666797i | \(0.232335\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −35.6953 | −1.47080 | ||||||||
\(590\) | 8.84607 | 0.364187 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −15.5335 | −0.638424 | ||||||||
\(593\) | −6.16360 | −0.253109 | −0.126554 | − | 0.991960i | \(-0.540392\pi\) | ||||
−0.126554 | + | 0.991960i | \(0.540392\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.204145 | 0.00836914 | ||||||||
\(596\) | −12.5781 | −0.515221 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 12.2461 | 0.500778 | ||||||||
\(599\) | 26.3147 | 1.07519 | 0.537595 | − | 0.843203i | \(-0.319333\pi\) | ||||
0.537595 | + | 0.843203i | \(0.319333\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.92916 | −0.160274 | −0.0801368 | − | 0.996784i | \(-0.525536\pi\) | ||||
−0.0801368 | + | 0.996784i | \(0.525536\pi\) | |||||||
\(602\) | 50.7442 | 2.06818 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.37941 | −0.0968169 | ||||||||
\(605\) | −0.892999 | −0.0363056 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −40.6947 | −1.65175 | −0.825874 | − | 0.563855i | \(-0.809318\pi\) | ||||
−0.825874 | + | 0.563855i | \(0.809318\pi\) | |||||||
\(608\) | −18.4925 | −0.749971 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.05428 | −0.0426867 | ||||||||
\(611\) | 10.7112 | 0.433329 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.19146 | 0.330850 | 0.165425 | − | 0.986222i | \(-0.447100\pi\) | ||||
0.165425 | + | 0.986222i | \(0.447100\pi\) | |||||||
\(614\) | −22.9809 | −0.927435 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −14.9839 | −0.603717 | ||||||||
\(617\) | −3.24947 | −0.130819 | −0.0654093 | − | 0.997859i | \(-0.520835\pi\) | ||||
−0.0654093 | + | 0.997859i | \(0.520835\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −29.4184 | −1.18243 | −0.591213 | − | 0.806516i | \(-0.701351\pi\) | ||||
−0.591213 | + | 0.806516i | \(0.701351\pi\) | |||||||
\(620\) | 3.44415 | 0.138321 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 13.4902 | 0.540908 | ||||||||
\(623\) | −73.7767 | −2.95580 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.6742 | 0.546968 | ||||||||
\(626\) | 10.7426 | 0.429361 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.295298 | 0.0117837 | ||||||||
\(629\) | 0.301287 | 0.0120131 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.91059 | 0.394534 | 0.197267 | − | 0.980350i | \(-0.436793\pi\) | ||||
0.197267 | + | 0.980350i | \(0.436793\pi\) | |||||||
\(632\) | 37.6212 | 1.49649 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −16.6056 | −0.659493 | ||||||||
\(635\) | −4.32709 | −0.171715 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −34.1678 | −1.35378 | ||||||||
\(638\) | 9.49815 | 0.376035 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.31898 | −0.131194 | ||||||||
\(641\) | −13.6371 | −0.538632 | −0.269316 | − | 0.963052i | \(-0.586798\pi\) | ||||
−0.269316 | + | 0.963052i | \(0.586798\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −48.4940 | −1.91242 | −0.956209 | − | 0.292685i | \(-0.905451\pi\) | ||||
−0.956209 | + | 0.292685i | \(0.905451\pi\) | |||||||
\(644\) | −14.9794 | −0.590270 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.310917 | −0.0122329 | ||||||||
\(647\) | 35.0393 | 1.37754 | 0.688769 | − | 0.724981i | \(-0.258151\pi\) | ||||
0.688769 | + | 0.724981i | \(0.258151\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 8.39059 | 0.329360 | ||||||||
\(650\) | 10.1419 | 0.397796 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −1.60197 | −0.0627382 | ||||||||
\(653\) | 26.0145 | 1.01803 | 0.509013 | − | 0.860759i | \(-0.330010\pi\) | ||||
0.509013 | + | 0.860759i | \(0.330010\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.79569 | 0.109237 | ||||||||
\(656\) | 1.50032 | 0.0585778 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 30.1276 | 1.17450 | ||||||||
\(659\) | 44.0159 | 1.71462 | 0.857308 | − | 0.514804i | \(-0.172135\pi\) | ||||
0.857308 | + | 0.514804i | \(0.172135\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.27978 | −0.244255 | −0.122128 | − | 0.992514i | \(-0.538972\pi\) | ||||
−0.122128 | + | 0.992514i | \(0.538972\pi\) | |||||||
\(662\) | 19.3470 | 0.751942 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.5929 | 0.411083 | ||||||||
\(665\) | −24.3968 | −0.946066 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 40.8248 | 1.58074 | ||||||||
\(668\) | 11.0034 | 0.425733 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.12574 | −0.0434912 | ||||||||
\(671\) | −1.00000 | −0.0386046 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −33.5651 | −1.29384 | −0.646920 | − | 0.762558i | \(-0.723943\pi\) | ||||
−0.646920 | + | 0.762558i | \(0.723943\pi\) | |||||||
\(674\) | −8.17109 | −0.314739 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.34737 | 0.205668 | ||||||||
\(677\) | 40.8492 | 1.56996 | 0.784981 | − | 0.619520i | \(-0.212673\pi\) | ||||
0.784981 | + | 0.619520i | \(0.212673\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −35.3460 | −1.35645 | ||||||||
\(680\) | 0.128983 | 0.00494625 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −7.51195 | −0.287647 | ||||||||
\(683\) | 45.5785 | 1.74401 | 0.872007 | − | 0.489493i | \(-0.162818\pi\) | ||||
0.872007 | + | 0.489493i | \(0.162818\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.72341 | 0.218680 | ||||||||
\(686\) | −55.8583 | −2.13268 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 21.3612 | 0.814388 | ||||||||
\(689\) | −20.9244 | −0.797157 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.34416 | −0.355469 | −0.177734 | − | 0.984079i | \(-0.556877\pi\) | ||||
−0.177734 | + | 0.984079i | \(0.556877\pi\) | |||||||
\(692\) | 9.99097 | 0.379800 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 28.2108 | 1.07087 | ||||||||
\(695\) | 2.06157 | 0.0781996 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.0291002 | −0.00110225 | ||||||||
\(698\) | −30.6704 | −1.16089 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −12.4055 | −0.468884 | ||||||||
\(701\) | −28.7536 | −1.08601 | −0.543003 | − | 0.839731i | \(-0.682713\pi\) | ||||
−0.543003 | + | 0.839731i | \(0.682713\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −36.0059 | −1.35799 | ||||||||
\(704\) | −8.73220 | −0.329107 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 13.4229 | 0.505179 | ||||||||
\(707\) | −48.2686 | −1.81533 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.57308 | 0.0966339 | 0.0483170 | − | 0.998832i | \(-0.484614\pi\) | ||||
0.0483170 | + | 0.998832i | \(0.484614\pi\) | |||||||
\(710\) | 4.34827 | 0.163188 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −46.6134 | −1.74691 | ||||||||
\(713\) | −32.2878 | −1.20919 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.82536 | −0.0682646 | ||||||||
\(716\) | 14.2374 | 0.532075 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.41237 | 0.127348 | ||||||||
\(719\) | −34.1973 | −1.27534 | −0.637672 | − | 0.770308i | \(-0.720103\pi\) | ||||
−0.637672 | + | 0.770308i | \(0.720103\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.82833 | −0.254300 | ||||||||
\(722\) | 14.7251 | 0.548010 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 7.20736 | 0.267859 | ||||||||
\(725\) | 33.8100 | 1.25567 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11.5995 | −0.430201 | −0.215100 | − | 0.976592i | \(-0.569008\pi\) | ||||
−0.215100 | + | 0.976592i | \(0.569008\pi\) | |||||||
\(728\) | −30.6282 | −1.13516 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.77423 | −0.287737 | ||||||||
\(731\) | −0.414320 | −0.0153242 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.21979 | 0.229733 | 0.114867 | − | 0.993381i | \(-0.463356\pi\) | ||||
0.114867 | + | 0.993381i | \(0.463356\pi\) | |||||||
\(734\) | −12.5453 | −0.463054 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −16.7272 | −0.616573 | ||||||||
\(737\) | −1.06778 | −0.0393321 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.98442 | −0.0729980 | −0.0364990 | − | 0.999334i | \(-0.511621\pi\) | ||||
−0.0364990 | + | 0.999334i | \(0.511621\pi\) | |||||||
\(740\) | 3.47412 | 0.127711 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −58.8544 | −2.16061 | ||||||||
\(743\) | −45.2869 | −1.66142 | −0.830708 | − | 0.556709i | \(-0.812064\pi\) | ||||
−0.830708 | + | 0.556709i | \(0.812064\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −18.5303 | −0.678897 | ||||||||
\(746\) | −42.6215 | −1.56048 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.0284549 | 0.00104042 | ||||||||
\(749\) | 77.0108 | 2.81391 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.6588 | 0.571398 | 0.285699 | − | 0.958319i | \(-0.407774\pi\) | ||||
0.285699 | + | 0.958319i | \(0.407774\pi\) | |||||||
\(752\) | 12.6824 | 0.462481 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 19.4150 | 0.707051 | ||||||||
\(755\) | −3.50538 | −0.127574 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −15.0725 | −0.547821 | −0.273910 | − | 0.961755i | \(-0.588317\pi\) | ||||
−0.273910 | + | 0.961755i | \(0.588317\pi\) | |||||||
\(758\) | −25.8046 | −0.937264 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −15.4143 | −0.559135 | ||||||||
\(761\) | 29.0462 | 1.05292 | 0.526462 | − | 0.850199i | \(-0.323518\pi\) | ||||
0.526462 | + | 0.850199i | \(0.323518\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 97.6808 | 3.53628 | ||||||||
\(764\) | −10.7948 | −0.390541 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −22.7044 | −0.820344 | ||||||||
\(767\) | 17.1510 | 0.619287 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.3781 | 0.770915 | 0.385457 | − | 0.922726i | \(-0.374044\pi\) | ||||
0.385457 | + | 0.922726i | \(0.374044\pi\) | |||||||
\(770\) | −5.13421 | −0.185024 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 11.7195 | 0.421793 | ||||||||
\(773\) | 14.1554 | 0.509134 | 0.254567 | − | 0.967055i | \(-0.418067\pi\) | ||||
0.254567 | + | 0.967055i | \(0.418067\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −26.7399 | −0.960524 | ||||||||
\(776\) | −22.3322 | −0.801679 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −39.5840 | −1.41915 | ||||||||
\(779\) | 3.47767 | 0.124600 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.12438 | 0.147582 | ||||||||
\(782\) | −0.281236 | −0.0100570 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −40.4558 | −1.44485 | ||||||||
\(785\) | 0.435037 | 0.0155271 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 24.4555 | 0.871744 | 0.435872 | − | 0.900009i | \(-0.356440\pi\) | ||||
0.435872 | + | 0.900009i | \(0.356440\pi\) | |||||||
\(788\) | 5.32315 | 0.189629 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 12.8909 | 0.458637 | ||||||||
\(791\) | 4.08485 | 0.145240 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.04408 | −0.0725873 | ||||||||
\(794\) | −22.6655 | −0.804370 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −8.07685 | −0.286276 | ||||||||
\(797\) | −0.994082 | −0.0352122 | −0.0176061 | − | 0.999845i | \(-0.505604\pi\) | ||||
−0.0176061 | + | 0.999845i | \(0.505604\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.245988 | −0.00870243 | ||||||||
\(800\) | −13.8530 | −0.489778 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −35.4999 | −1.25355 | ||||||||
\(803\) | −7.37393 | −0.260220 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −22.0678 | −0.777788 | ||||||||
\(806\) | −15.3550 | −0.540857 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −30.4969 | −1.07288 | ||||||||
\(809\) | 2.10756 | 0.0740977 | 0.0370489 | − | 0.999313i | \(-0.488204\pi\) | ||||
0.0370489 | + | 0.999313i | \(0.488204\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 32.0973 | 1.12709 | 0.563544 | − | 0.826086i | \(-0.309438\pi\) | ||||
0.563544 | + | 0.826086i | \(0.309438\pi\) | |||||||
\(812\) | −23.7484 | −0.833404 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.57731 | −0.265585 | ||||||||
\(815\) | −2.36005 | −0.0826689 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 49.5141 | 1.73228 | ||||||||
\(818\) | 40.5201 | 1.41675 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.335552 | −0.0117180 | ||||||||
\(821\) | 12.3051 | 0.429452 | 0.214726 | − | 0.976674i | \(-0.431114\pi\) | ||||
0.214726 | + | 0.976674i | \(0.431114\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −16.4630 | −0.573864 | −0.286932 | − | 0.957951i | \(-0.592635\pi\) | ||||
−0.286932 | + | 0.957951i | \(0.592635\pi\) | |||||||
\(824\) | −4.31426 | −0.150294 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 48.2409 | 1.67852 | ||||||||
\(827\) | 47.7080 | 1.65897 | 0.829485 | − | 0.558530i | \(-0.188634\pi\) | ||||
0.829485 | + | 0.558530i | \(0.188634\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 39.8791 | 1.38506 | 0.692529 | − | 0.721390i | \(-0.256497\pi\) | ||||
0.692529 | + | 0.721390i | \(0.256497\pi\) | |||||||
\(830\) | 3.62964 | 0.125987 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −17.8493 | −0.618813 | ||||||||
\(833\) | 0.784678 | 0.0271875 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 16.2103 | 0.560981 | ||||||||
\(836\) | −3.40056 | −0.117611 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 12.1772 | 0.420655 | ||||||||
\(839\) | 34.7758 | 1.20059 | 0.600297 | − | 0.799777i | \(-0.295049\pi\) | ||||
0.600297 | + | 0.799777i | \(0.295049\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 35.7239 | 1.23186 | ||||||||
\(842\) | 26.2597 | 0.904968 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −15.6638 | −0.539171 | ||||||||
\(845\) | 7.87781 | 0.271005 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.86985 | −0.167330 | ||||||||
\(848\) | −24.7752 | −0.850785 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.232912 | −0.00798882 | ||||||||
\(851\) | −32.5687 | −1.11644 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 36.7417 | 1.25801 | 0.629007 | − | 0.777400i | \(-0.283462\pi\) | ||||
0.629007 | + | 0.777400i | \(0.283462\pi\) | |||||||
\(854\) | −5.74940 | −0.196741 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 48.6567 | 1.66305 | ||||||||
\(857\) | 35.9515 | 1.22808 | 0.614039 | − | 0.789275i | \(-0.289544\pi\) | ||||
0.614039 | + | 0.789275i | \(0.289544\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 37.6231 | 1.28368 | 0.641842 | − | 0.766837i | \(-0.278171\pi\) | ||||
0.641842 | + | 0.766837i | \(0.278171\pi\) | |||||||
\(860\) | −4.77750 | −0.162911 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 5.71695 | 0.194720 | ||||||||
\(863\) | 32.1729 | 1.09518 | 0.547589 | − | 0.836747i | \(-0.315546\pi\) | ||||
0.547589 | + | 0.836747i | \(0.315546\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14.7188 | 0.500455 | ||||||||
\(866\) | −26.1987 | −0.890269 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 18.7822 | 0.637511 | ||||||||
\(869\) | 12.2271 | 0.414778 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.18262 | −0.0739554 | ||||||||
\(872\) | 61.7164 | 2.08998 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 33.6096 | 1.13686 | ||||||||
\(875\) | −40.0198 | −1.35292 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 37.1819 | 1.25554 | 0.627771 | − | 0.778398i | \(-0.283967\pi\) | ||||
0.627771 | + | 0.778398i | \(0.283967\pi\) | |||||||
\(878\) | −38.6900 | −1.30572 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.16129 | −0.0728570 | ||||||||
\(881\) | 36.9036 | 1.24331 | 0.621657 | − | 0.783289i | \(-0.286460\pi\) | ||||
0.621657 | + | 0.783289i | \(0.286460\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.1058 | 0.508351 | 0.254176 | − | 0.967158i | \(-0.418196\pi\) | ||||
0.254176 | + | 0.967158i | \(0.418196\pi\) | |||||||
\(884\) | 0.0581641 | 0.00195627 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −38.3945 | −1.28989 | ||||||||
\(887\) | 16.4143 | 0.551139 | 0.275569 | − | 0.961281i | \(-0.411134\pi\) | ||||
0.275569 | + | 0.961281i | \(0.411134\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −23.5972 | −0.791426 | ||||||||
\(890\) | −15.9721 | −0.535385 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.528768 | −0.0177045 | ||||||||
\(893\) | 29.3972 | 0.983741 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 20.9747 | 0.701106 | ||||||||
\(896\) | −18.0996 | −0.604667 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 27.0611 | 0.903042 | ||||||||
\(899\) | −51.1892 | −1.70725 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.480539 | 0.0160091 | ||||||||
\(902\) | 0.731863 | 0.0243684 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.58088 | 0.0858387 | ||||||||
\(905\) | 10.6180 | 0.352954 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −4.48810 | −0.149025 | −0.0745125 | − | 0.997220i | \(-0.523740\pi\) | ||||
−0.0745125 | + | 0.997220i | \(0.523740\pi\) | |||||||
\(908\) | −6.67724 | −0.221592 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −10.4947 | −0.347897 | ||||||||
\(911\) | −27.3811 | −0.907175 | −0.453588 | − | 0.891212i | \(-0.649856\pi\) | ||||
−0.453588 | + | 0.891212i | \(0.649856\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.44275 | 0.113938 | ||||||||
\(914\) | 8.61275 | 0.284884 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 10.3458 | 0.341835 | ||||||||
\(917\) | 15.2459 | 0.503464 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.01128 | 0.297255 | 0.148627 | − | 0.988893i | \(-0.452515\pi\) | ||||
0.148627 | + | 0.988893i | \(0.452515\pi\) | |||||||
\(920\) | −13.9428 | −0.459681 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −16.9499 | −0.558215 | ||||||||
\(923\) | 8.43056 | 0.277495 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −26.9725 | −0.886851 | ||||||||
\(926\) | 26.2809 | 0.863645 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −26.5194 | −0.870541 | ||||||||
\(929\) | 2.26479 | 0.0743054 | 0.0371527 | − | 0.999310i | \(-0.488171\pi\) | ||||
0.0371527 | + | 0.999310i | \(0.488171\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −93.7744 | −3.07333 | ||||||||
\(932\) | −9.02256 | −0.295544 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −9.70398 | −0.317524 | ||||||||
\(935\) | 0.0419202 | 0.00137094 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 31.1676 | 1.01820 | 0.509101 | − | 0.860707i | \(-0.329978\pi\) | ||||
0.509101 | + | 0.860707i | \(0.329978\pi\) | |||||||
\(938\) | −6.13909 | −0.200448 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.83647 | −0.0925154 | ||||||||
\(941\) | 27.3896 | 0.892876 | 0.446438 | − | 0.894815i | \(-0.352692\pi\) | ||||
0.446438 | + | 0.894815i | \(0.352692\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.14568 | 0.102438 | ||||||||
\(944\) | 20.3074 | 0.660949 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 10.4201 | 0.338786 | ||||||||
\(947\) | −40.8074 | −1.32606 | −0.663030 | − | 0.748592i | \(-0.730730\pi\) | ||||
−0.663030 | + | 0.748592i | \(0.730730\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −15.0729 | −0.489287 | ||||||||
\(950\) | 27.8346 | 0.903074 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.703389 | 0.0227970 | ||||||||
\(953\) | 5.31907 | 0.172302 | 0.0861508 | − | 0.996282i | \(-0.472543\pi\) | ||||
0.0861508 | + | 0.996282i | \(0.472543\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −15.9030 | −0.514609 | ||||||||
\(956\) | −9.42420 | −0.304801 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.875308 | 0.0282799 | ||||||||
\(959\) | 31.2118 | 1.00788 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.48478 | 0.305961 | ||||||||
\(962\) | −15.4886 | −0.499373 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.60442 | −0.0516749 | ||||||||
\(965\) | 17.2653 | 0.555789 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.551108 | 0.0177224 | 0.00886122 | − | 0.999961i | \(-0.497179\pi\) | ||||
0.00886122 | + | 0.999961i | \(0.497179\pi\) | |||||||
\(968\) | −3.07686 | −0.0988940 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −7.65212 | −0.245695 | ||||||||
\(971\) | 1.65238 | 0.0530273 | 0.0265136 | − | 0.999648i | \(-0.491559\pi\) | ||||
0.0265136 | + | 0.999648i | \(0.491559\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 11.2425 | 0.360417 | ||||||||
\(974\) | −8.63839 | −0.276792 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.42026 | −0.0774706 | ||||||||
\(977\) | −10.8937 | −0.348520 | −0.174260 | − | 0.984700i | \(-0.555753\pi\) | ||||
−0.174260 | + | 0.984700i | \(0.555753\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −15.1497 | −0.484186 | ||||||||
\(980\) | 9.04806 | 0.289030 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −11.1466 | −0.355702 | ||||||||
\(983\) | −19.5157 | −0.622455 | −0.311228 | − | 0.950335i | \(-0.600740\pi\) | ||||
−0.311228 | + | 0.950335i | \(0.600740\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.84213 | 0.249871 | ||||||||
\(986\) | −0.445873 | −0.0141995 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −6.95101 | −0.221141 | ||||||||
\(989\) | 44.7874 | 1.42416 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 2.80366 | 0.0890612 | 0.0445306 | − | 0.999008i | \(-0.485821\pi\) | ||||
0.0445306 | + | 0.999008i | \(0.485821\pi\) | |||||||
\(992\) | 20.9738 | 0.665919 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 23.7127 | 0.752123 | ||||||||
\(995\) | −11.8989 | −0.377221 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −34.7140 | −1.09940 | −0.549702 | − | 0.835361i | \(-0.685259\pi\) | ||||
−0.549702 | + | 0.835361i | \(0.685259\pi\) | |||||||
\(998\) | −8.00503 | −0.253395 | ||||||||
\(999\) | 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 | 6039.2.a.p.1.17 | yes | 25 | |
3.2 | odd | 2 | 6039.2.a.m.1.9 | ✓ | 25 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6039.2.a.m.1.9 | ✓ | 25 | 3.2 | odd | 2 | ||
6039.2.a.p.1.17 | yes | 25 | 1.1 | even | 1 | trivial |