Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [6003,2,Mod(1,6003)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(6003, 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("6003.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 6003 = 3^{2} \cdot 23 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6003.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: | \(47.9341963334\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.2 | ||
Character | \(\chi\) | \(=\) | 6003.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.60906 | −1.84488 | −0.922441 | − | 0.386137i | \(-0.873809\pi\) | ||||
−0.922441 | + | 0.386137i | \(0.873809\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.80718 | 2.40359 | ||||||||
\(5\) | 3.69173 | 1.65099 | 0.825495 | − | 0.564409i | \(-0.190896\pi\) | ||||
0.825495 | + | 0.564409i | \(0.190896\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.51238 | 0.571625 | 0.285812 | − | 0.958286i | \(-0.407737\pi\) | ||||
0.285812 | + | 0.958286i | \(0.407737\pi\) | |||||||
\(8\) | −7.32410 | −2.58946 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −9.63193 | −3.04588 | ||||||||
\(11\) | 4.23707 | 1.27752 | 0.638762 | − | 0.769404i | \(-0.279447\pi\) | ||||
0.638762 | + | 0.769404i | \(0.279447\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.701184 | 0.194474 | 0.0972368 | − | 0.995261i | \(-0.469000\pi\) | ||||
0.0972368 | + | 0.995261i | \(0.469000\pi\) | |||||||
\(14\) | −3.94588 | −1.05458 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 9.49464 | 2.37366 | ||||||||
\(17\) | 2.20964 | 0.535917 | 0.267958 | − | 0.963431i | \(-0.413651\pi\) | ||||
0.267958 | + | 0.963431i | \(0.413651\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.51544 | 0.806497 | 0.403249 | − | 0.915091i | \(-0.367881\pi\) | ||||
0.403249 | + | 0.915091i | \(0.367881\pi\) | |||||||
\(20\) | 17.7468 | 3.96831 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −11.0548 | −2.35688 | ||||||||
\(23\) | −1.00000 | −0.208514 | ||||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.62884 | 1.72577 | ||||||||
\(26\) | −1.82943 | −0.358781 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 7.27027 | 1.37395 | ||||||||
\(29\) | 1.00000 | 0.185695 | ||||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.97980 | 1.61282 | 0.806410 | − | 0.591357i | \(-0.201408\pi\) | ||||
0.806410 | + | 0.591357i | \(0.201408\pi\) | |||||||
\(32\) | −10.1239 | −1.78966 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.76508 | −0.988703 | ||||||||
\(35\) | 5.58328 | 0.943747 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.90381 | 1.62818 | 0.814088 | − | 0.580741i | \(-0.197237\pi\) | ||||
0.814088 | + | 0.580741i | \(0.197237\pi\) | |||||||
\(38\) | −9.17198 | −1.48789 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −27.0386 | −4.27517 | ||||||||
\(41\) | −8.88026 | −1.38686 | −0.693431 | − | 0.720523i | \(-0.743902\pi\) | ||||
−0.693431 | + | 0.720523i | \(0.743902\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.2652 | 1.71792 | 0.858961 | − | 0.512041i | \(-0.171110\pi\) | ||||
0.858961 | + | 0.512041i | \(0.171110\pi\) | |||||||
\(44\) | 20.3684 | 3.07065 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.60906 | 0.384685 | ||||||||
\(47\) | −9.05117 | −1.32025 | −0.660125 | − | 0.751156i | \(-0.729497\pi\) | ||||
−0.660125 | + | 0.751156i | \(0.729497\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.71272 | −0.673245 | ||||||||
\(50\) | −22.5131 | −3.18384 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.37072 | 0.467435 | ||||||||
\(53\) | 4.47941 | 0.615294 | 0.307647 | − | 0.951501i | \(-0.400458\pi\) | ||||
0.307647 | + | 0.951501i | \(0.400458\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 15.6421 | 2.10918 | ||||||||
\(56\) | −11.0768 | −1.48020 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.60906 | −0.342586 | ||||||||
\(59\) | −8.07095 | −1.05075 | −0.525374 | − | 0.850871i | \(-0.676075\pi\) | ||||
−0.525374 | + | 0.850871i | \(0.676075\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.602421 | −0.0771320 | −0.0385660 | − | 0.999256i | \(-0.512279\pi\) | ||||
−0.0385660 | + | 0.999256i | \(0.512279\pi\) | |||||||
\(62\) | −23.4288 | −2.97546 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 7.42446 | 0.928057 | ||||||||
\(65\) | 2.58858 | 0.321074 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.51875 | 0.307714 | 0.153857 | − | 0.988093i | \(-0.450831\pi\) | ||||
0.153857 | + | 0.988093i | \(0.450831\pi\) | |||||||
\(68\) | 10.6221 | 1.28812 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −14.5671 | −1.74110 | ||||||||
\(71\) | −4.90800 | −0.582473 | −0.291236 | − | 0.956651i | \(-0.594067\pi\) | ||||
−0.291236 | + | 0.956651i | \(0.594067\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.365627 | −0.0427934 | −0.0213967 | − | 0.999771i | \(-0.506811\pi\) | ||||
−0.0213967 | + | 0.999771i | \(0.506811\pi\) | |||||||
\(74\) | −25.8396 | −3.00379 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 16.8994 | 1.93849 | ||||||||
\(77\) | 6.40805 | 0.730265 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.39084 | −0.156482 | −0.0782411 | − | 0.996934i | \(-0.524930\pi\) | ||||
−0.0782411 | + | 0.996934i | \(0.524930\pi\) | |||||||
\(80\) | 35.0516 | 3.91889 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 23.1691 | 2.55860 | ||||||||
\(83\) | 0.338109 | 0.0371122 | 0.0185561 | − | 0.999828i | \(-0.494093\pi\) | ||||
0.0185561 | + | 0.999828i | \(0.494093\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.15739 | 0.884793 | ||||||||
\(86\) | −29.3915 | −3.16936 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −31.0327 | −3.30810 | ||||||||
\(89\) | −6.33212 | −0.671203 | −0.335602 | − | 0.942004i | \(-0.608940\pi\) | ||||
−0.335602 | + | 0.942004i | \(0.608940\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.06046 | 0.111166 | ||||||||
\(92\) | −4.80718 | −0.501183 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 23.6150 | 2.43570 | ||||||||
\(95\) | 12.9780 | 1.33152 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.60675 | −0.569279 | −0.284639 | − | 0.958635i | \(-0.591874\pi\) | ||||
−0.284639 | + | 0.958635i | \(0.591874\pi\) | |||||||
\(98\) | 12.2957 | 1.24206 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 41.4804 | 4.14804 | ||||||||
\(101\) | 8.51165 | 0.846941 | 0.423470 | − | 0.905910i | \(-0.360812\pi\) | ||||
0.423470 | + | 0.905910i | \(0.360812\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.33916 | −0.821682 | −0.410841 | − | 0.911707i | \(-0.634765\pi\) | ||||
−0.410841 | + | 0.911707i | \(0.634765\pi\) | |||||||
\(104\) | −5.13555 | −0.503582 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.6870 | −1.13515 | ||||||||
\(107\) | 6.51887 | 0.630203 | 0.315102 | − | 0.949058i | \(-0.397961\pi\) | ||||
0.315102 | + | 0.949058i | \(0.397961\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.47639 | −0.907673 | −0.453837 | − | 0.891085i | \(-0.649945\pi\) | ||||
−0.453837 | + | 0.891085i | \(0.649945\pi\) | |||||||
\(110\) | −40.8111 | −3.89119 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 14.3595 | 1.35684 | ||||||||
\(113\) | 18.4646 | 1.73700 | 0.868502 | − | 0.495685i | \(-0.165083\pi\) | ||||
0.868502 | + | 0.495685i | \(0.165083\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.69173 | −0.344255 | ||||||||
\(116\) | 4.80718 | 0.446336 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 21.0576 | 1.93851 | ||||||||
\(119\) | 3.34181 | 0.306343 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.95275 | 0.632068 | ||||||||
\(122\) | 1.57175 | 0.142300 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 43.1675 | 3.87656 | ||||||||
\(125\) | 13.3967 | 1.19824 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.96044 | −0.440168 | −0.220084 | − | 0.975481i | \(-0.570633\pi\) | ||||
−0.220084 | + | 0.975481i | \(0.570633\pi\) | |||||||
\(128\) | 0.876879 | 0.0775059 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.75376 | −0.592344 | ||||||||
\(131\) | −13.2817 | −1.16043 | −0.580213 | − | 0.814464i | \(-0.697031\pi\) | ||||
−0.580213 | + | 0.814464i | \(0.697031\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.31667 | 0.461014 | ||||||||
\(134\) | −6.57156 | −0.567696 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −16.1836 | −1.38773 | ||||||||
\(137\) | −5.53897 | −0.473226 | −0.236613 | − | 0.971604i | \(-0.576037\pi\) | ||||
−0.236613 | + | 0.971604i | \(0.576037\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.0482918 | −0.00409606 | −0.00204803 | − | 0.999998i | \(-0.500652\pi\) | ||||
−0.00204803 | + | 0.999998i | \(0.500652\pi\) | |||||||
\(140\) | 26.8399 | 2.26838 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 12.8053 | 1.07459 | ||||||||
\(143\) | 2.97097 | 0.248445 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.69173 | 0.306581 | ||||||||
\(146\) | 0.953941 | 0.0789487 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 47.6094 | 3.91347 | ||||||||
\(149\) | 6.09994 | 0.499726 | 0.249863 | − | 0.968281i | \(-0.419614\pi\) | ||||
0.249863 | + | 0.968281i | \(0.419614\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −5.40099 | −0.439526 | −0.219763 | − | 0.975553i | \(-0.570528\pi\) | ||||
−0.219763 | + | 0.975553i | \(0.570528\pi\) | |||||||
\(152\) | −25.7474 | −2.08839 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −16.7190 | −1.34725 | ||||||||
\(155\) | 33.1510 | 2.66275 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 13.8301 | 1.10376 | 0.551882 | − | 0.833922i | \(-0.313910\pi\) | ||||
0.551882 | + | 0.833922i | \(0.313910\pi\) | |||||||
\(158\) | 3.62879 | 0.288691 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −37.3745 | −2.95472 | ||||||||
\(161\) | −1.51238 | −0.119192 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.4078 | 0.893527 | 0.446764 | − | 0.894652i | \(-0.352577\pi\) | ||||
0.446764 | + | 0.894652i | \(0.352577\pi\) | |||||||
\(164\) | −42.6890 | −3.33345 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.882145 | −0.0684677 | ||||||||
\(167\) | 14.7788 | 1.14362 | 0.571808 | − | 0.820387i | \(-0.306242\pi\) | ||||
0.571808 | + | 0.820387i | \(0.306242\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.5083 | −0.962180 | ||||||||
\(170\) | −21.2831 | −1.63234 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 54.1537 | 4.12918 | ||||||||
\(173\) | −19.9280 | −1.51510 | −0.757549 | − | 0.652779i | \(-0.773603\pi\) | ||||
−0.757549 | + | 0.652779i | \(0.773603\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 13.0501 | 0.986492 | ||||||||
\(176\) | 40.2294 | 3.03241 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 16.5209 | 1.23829 | ||||||||
\(179\) | −7.90810 | −0.591079 | −0.295540 | − | 0.955331i | \(-0.595499\pi\) | ||||
−0.295540 | + | 0.955331i | \(0.595499\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.7661 | −1.46920 | −0.734602 | − | 0.678498i | \(-0.762631\pi\) | ||||
−0.734602 | + | 0.678498i | \(0.762631\pi\) | |||||||
\(182\) | −2.76679 | −0.205088 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.32410 | 0.539940 | ||||||||
\(185\) | 36.5622 | 2.68810 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.36240 | 0.684646 | ||||||||
\(188\) | −43.5106 | −3.17334 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −33.8605 | −2.45650 | ||||||||
\(191\) | 13.2004 | 0.955148 | 0.477574 | − | 0.878592i | \(-0.341516\pi\) | ||||
0.477574 | + | 0.878592i | \(0.341516\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.57445 | 0.689184 | 0.344592 | − | 0.938753i | \(-0.388017\pi\) | ||||
0.344592 | + | 0.938753i | \(0.388017\pi\) | |||||||
\(194\) | 14.6283 | 1.05025 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −22.6549 | −1.61821 | ||||||||
\(197\) | −9.61490 | −0.685033 | −0.342517 | − | 0.939512i | \(-0.611279\pi\) | ||||
−0.342517 | + | 0.939512i | \(0.611279\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.3326 | 0.803350 | 0.401675 | − | 0.915782i | \(-0.368428\pi\) | ||||
0.401675 | + | 0.915782i | \(0.368428\pi\) | |||||||
\(200\) | −63.1985 | −4.46881 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −22.2074 | −1.56251 | ||||||||
\(203\) | 1.51238 | 0.106148 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −32.7835 | −2.28970 | ||||||||
\(206\) | 21.7573 | 1.51591 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 6.65749 | 0.461614 | ||||||||
\(209\) | 14.8952 | 1.03032 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −11.4631 | −0.789154 | −0.394577 | − | 0.918863i | \(-0.629109\pi\) | ||||
−0.394577 | + | 0.918863i | \(0.629109\pi\) | |||||||
\(212\) | 21.5333 | 1.47892 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −17.0081 | −1.16265 | ||||||||
\(215\) | 41.5879 | 2.83627 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 13.5808 | 0.921928 | ||||||||
\(218\) | 24.7244 | 1.67455 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 75.1944 | 5.06961 | ||||||||
\(221\) | 1.54937 | 0.104222 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.09705 | 0.140429 | 0.0702144 | − | 0.997532i | \(-0.477632\pi\) | ||||
0.0702144 | + | 0.997532i | \(0.477632\pi\) | |||||||
\(224\) | −15.3111 | −1.02302 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −48.1752 | −3.20457 | ||||||||
\(227\) | −25.0947 | −1.66560 | −0.832798 | − | 0.553578i | \(-0.813262\pi\) | ||||
−0.832798 | + | 0.553578i | \(0.813262\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 20.0430 | 1.32448 | 0.662238 | − | 0.749293i | \(-0.269607\pi\) | ||||
0.662238 | + | 0.749293i | \(0.269607\pi\) | |||||||
\(230\) | 9.63193 | 0.635110 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.32410 | −0.480851 | ||||||||
\(233\) | 24.8577 | 1.62848 | 0.814240 | − | 0.580528i | \(-0.197154\pi\) | ||||
0.814240 | + | 0.580528i | \(0.197154\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −33.4144 | −2.17972 | ||||||||
\(236\) | −38.7985 | −2.52557 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −8.71898 | −0.565167 | ||||||||
\(239\) | −21.2735 | −1.37607 | −0.688036 | − | 0.725677i | \(-0.741527\pi\) | ||||
−0.688036 | + | 0.725677i | \(0.741527\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.6991 | −0.753604 | −0.376802 | − | 0.926294i | \(-0.622976\pi\) | ||||
−0.376802 | + | 0.926294i | \(0.622976\pi\) | |||||||
\(242\) | −18.1401 | −1.16609 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.89595 | −0.185394 | ||||||||
\(245\) | −17.3981 | −1.11152 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 2.46497 | 0.156842 | ||||||||
\(248\) | −65.7690 | −4.17633 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −34.9527 | −2.21061 | ||||||||
\(251\) | −23.8704 | −1.50669 | −0.753345 | − | 0.657626i | \(-0.771561\pi\) | ||||
−0.753345 | + | 0.657626i | \(0.771561\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.23707 | −0.266382 | ||||||||
\(254\) | 12.9421 | 0.812059 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −17.1367 | −1.07105 | ||||||||
\(257\) | 14.5546 | 0.907889 | 0.453945 | − | 0.891030i | \(-0.350016\pi\) | ||||
0.453945 | + | 0.891030i | \(0.350016\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 14.9783 | 0.930706 | ||||||||
\(260\) | 12.4438 | 0.771730 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 34.6527 | 2.14085 | ||||||||
\(263\) | −4.94078 | −0.304662 | −0.152331 | − | 0.988330i | \(-0.548678\pi\) | ||||
−0.152331 | + | 0.988330i | \(0.548678\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.5368 | 1.01584 | ||||||||
\(266\) | −13.8715 | −0.850516 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 12.1081 | 0.739619 | ||||||||
\(269\) | −20.1580 | −1.22906 | −0.614528 | − | 0.788895i | \(-0.710654\pi\) | ||||
−0.614528 | + | 0.788895i | \(0.710654\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.7651 | −0.775424 | −0.387712 | − | 0.921781i | \(-0.626734\pi\) | ||||
−0.387712 | + | 0.921781i | \(0.626734\pi\) | |||||||
\(272\) | 20.9797 | 1.27208 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.4515 | 0.873046 | ||||||||
\(275\) | 36.5610 | 2.20471 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.9763 | −0.959925 | −0.479963 | − | 0.877289i | \(-0.659350\pi\) | ||||
−0.479963 | + | 0.877289i | \(0.659350\pi\) | |||||||
\(278\) | 0.125996 | 0.00755675 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −40.8925 | −2.44380 | ||||||||
\(281\) | −16.3239 | −0.973803 | −0.486901 | − | 0.873457i | \(-0.661873\pi\) | ||||
−0.486901 | + | 0.873457i | \(0.661873\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 21.4250 | 1.27358 | 0.636791 | − | 0.771036i | \(-0.280261\pi\) | ||||
0.636791 | + | 0.771036i | \(0.280261\pi\) | |||||||
\(284\) | −23.5937 | −1.40003 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.75142 | −0.458351 | ||||||||
\(287\) | −13.4303 | −0.792765 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.1175 | −0.712793 | ||||||||
\(290\) | −9.63193 | −0.565606 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.75763 | −0.102858 | ||||||||
\(293\) | −30.6416 | −1.79010 | −0.895051 | − | 0.445963i | \(-0.852861\pi\) | ||||
−0.895051 | + | 0.445963i | \(0.852861\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −29.7957 | −1.73478 | ||||||||
\(296\) | −72.5365 | −4.21610 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.9151 | −0.921936 | ||||||||
\(299\) | −0.701184 | −0.0405505 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 17.0372 | 0.982007 | ||||||||
\(302\) | 14.0915 | 0.810874 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 33.3778 | 1.91435 | ||||||||
\(305\) | −2.22397 | −0.127344 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.8878 | −0.849692 | −0.424846 | − | 0.905266i | \(-0.639672\pi\) | ||||
−0.424846 | + | 0.905266i | \(0.639672\pi\) | |||||||
\(308\) | 30.8046 | 1.75526 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −86.4928 | −4.91246 | ||||||||
\(311\) | 5.96196 | 0.338072 | 0.169036 | − | 0.985610i | \(-0.445935\pi\) | ||||
0.169036 | + | 0.985610i | \(0.445935\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.19906 | 0.180822 | 0.0904108 | − | 0.995905i | \(-0.471182\pi\) | ||||
0.0904108 | + | 0.995905i | \(0.471182\pi\) | |||||||
\(314\) | −36.0836 | −2.03632 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.68604 | −0.376119 | ||||||||
\(317\) | −13.7326 | −0.771302 | −0.385651 | − | 0.922645i | \(-0.626023\pi\) | ||||
−0.385651 | + | 0.922645i | \(0.626023\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.23707 | 0.237230 | ||||||||
\(320\) | 27.4091 | 1.53221 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.94588 | 0.219895 | ||||||||
\(323\) | 7.76786 | 0.432215 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.05041 | 0.335616 | ||||||||
\(326\) | −29.7636 | −1.64845 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 65.0399 | 3.59123 | ||||||||
\(329\) | −13.6888 | −0.754687 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.8049 | 1.47333 | 0.736665 | − | 0.676258i | \(-0.236400\pi\) | ||||
0.736665 | + | 0.676258i | \(0.236400\pi\) | |||||||
\(332\) | 1.62535 | 0.0892026 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −38.5587 | −2.10984 | ||||||||
\(335\) | 9.29852 | 0.508033 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −20.3252 | −1.10719 | −0.553593 | − | 0.832787i | \(-0.686744\pi\) | ||||
−0.553593 | + | 0.832787i | \(0.686744\pi\) | |||||||
\(338\) | 32.6350 | 1.77511 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 39.2141 | 2.12668 | ||||||||
\(341\) | 38.0480 | 2.06042 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.7140 | −0.956468 | ||||||||
\(344\) | −82.5072 | −4.44849 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 51.9933 | 2.79518 | ||||||||
\(347\) | −9.89884 | −0.531398 | −0.265699 | − | 0.964056i | \(-0.585603\pi\) | ||||
−0.265699 | + | 0.964056i | \(0.585603\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.78360 | 0.149003 | 0.0745015 | − | 0.997221i | \(-0.476263\pi\) | ||||
0.0745015 | + | 0.997221i | \(0.476263\pi\) | |||||||
\(350\) | −34.0484 | −1.81996 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −42.8955 | −2.28634 | ||||||||
\(353\) | 21.6010 | 1.14970 | 0.574852 | − | 0.818257i | \(-0.305060\pi\) | ||||
0.574852 | + | 0.818257i | \(0.305060\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.1190 | −0.961657 | ||||||||
\(356\) | −30.4397 | −1.61330 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 20.6327 | 1.09047 | ||||||||
\(359\) | −21.1444 | −1.11596 | −0.557980 | − | 0.829855i | \(-0.688423\pi\) | ||||
−0.557980 | + | 0.829855i | \(0.688423\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.64169 | −0.349563 | ||||||||
\(362\) | 51.5710 | 2.71051 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.09780 | 0.267197 | ||||||||
\(365\) | −1.34979 | −0.0706514 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −36.4666 | −1.90354 | −0.951771 | − | 0.306809i | \(-0.900739\pi\) | ||||
−0.951771 | + | 0.306809i | \(0.900739\pi\) | |||||||
\(368\) | −9.49464 | −0.494942 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −95.3928 | −4.95924 | ||||||||
\(371\) | 6.77456 | 0.351717 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −37.1573 | −1.92393 | −0.961966 | − | 0.273168i | \(-0.911929\pi\) | ||||
−0.961966 | + | 0.273168i | \(0.911929\pi\) | |||||||
\(374\) | −24.4270 | −1.26309 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 66.2917 | 3.41873 | ||||||||
\(377\) | 0.701184 | 0.0361128 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −16.1181 | −0.827934 | −0.413967 | − | 0.910292i | \(-0.635857\pi\) | ||||
−0.413967 | + | 0.910292i | \(0.635857\pi\) | |||||||
\(380\) | 62.3878 | 3.20043 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −34.4406 | −1.76214 | ||||||||
\(383\) | 4.94872 | 0.252868 | 0.126434 | − | 0.991975i | \(-0.459647\pi\) | ||||
0.126434 | + | 0.991975i | \(0.459647\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 23.6567 | 1.20566 | ||||||||
\(386\) | −24.9803 | −1.27146 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −26.9527 | −1.36831 | ||||||||
\(389\) | 30.5289 | 1.54788 | 0.773939 | − | 0.633261i | \(-0.218284\pi\) | ||||
0.773939 | + | 0.633261i | \(0.218284\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.20964 | −0.111746 | ||||||||
\(392\) | 34.5164 | 1.74334 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 25.0858 | 1.26381 | ||||||||
\(395\) | −5.13461 | −0.258350 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 19.6614 | 0.986777 | 0.493388 | − | 0.869809i | \(-0.335758\pi\) | ||||
0.493388 | + | 0.869809i | \(0.335758\pi\) | |||||||
\(398\) | −29.5675 | −1.48209 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 81.9277 | 4.09639 | ||||||||
\(401\) | −2.20598 | −0.110161 | −0.0550807 | − | 0.998482i | \(-0.517542\pi\) | ||||
−0.0550807 | + | 0.998482i | \(0.517542\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.29650 | 0.313651 | ||||||||
\(404\) | 40.9171 | 2.03570 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.94588 | −0.195831 | ||||||||
\(407\) | 41.9631 | 2.08004 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 22.8667 | 1.13068 | 0.565342 | − | 0.824857i | \(-0.308744\pi\) | ||||
0.565342 | + | 0.824857i | \(0.308744\pi\) | |||||||
\(410\) | 85.5340 | 4.22422 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −40.0879 | −1.97499 | ||||||||
\(413\) | −12.2063 | −0.600634 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.24820 | 0.0612719 | ||||||||
\(416\) | −7.09869 | −0.348042 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −38.8623 | −1.90082 | ||||||||
\(419\) | 29.4988 | 1.44111 | 0.720556 | − | 0.693397i | \(-0.243887\pi\) | ||||
0.720556 | + | 0.693397i | \(0.243887\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 13.4004 | 0.653096 | 0.326548 | − | 0.945181i | \(-0.394114\pi\) | ||||
0.326548 | + | 0.945181i | \(0.394114\pi\) | |||||||
\(422\) | 29.9080 | 1.45590 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −32.8077 | −1.59328 | ||||||||
\(425\) | 19.0666 | 0.924868 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.911087 | −0.0440906 | ||||||||
\(428\) | 31.3374 | 1.51475 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −108.505 | −5.23259 | ||||||||
\(431\) | −17.1152 | −0.824411 | −0.412206 | − | 0.911091i | \(-0.635242\pi\) | ||||
−0.412206 | + | 0.911091i | \(0.635242\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 12.5925 | 0.605159 | 0.302579 | − | 0.953124i | \(-0.402152\pi\) | ||||
0.302579 | + | 0.953124i | \(0.402152\pi\) | |||||||
\(434\) | −35.4332 | −1.70085 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −45.5547 | −2.18168 | ||||||||
\(437\) | −3.51544 | −0.168166 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −23.2289 | −1.10866 | −0.554328 | − | 0.832298i | \(-0.687025\pi\) | ||||
−0.554328 | + | 0.832298i | \(0.687025\pi\) | |||||||
\(440\) | −114.564 | −5.46164 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −4.04238 | −0.192277 | ||||||||
\(443\) | −37.1009 | −1.76272 | −0.881359 | − | 0.472447i | \(-0.843371\pi\) | ||||
−0.881359 | + | 0.472447i | \(0.843371\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −23.3764 | −1.10815 | ||||||||
\(446\) | −5.47133 | −0.259075 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.2286 | 0.530501 | ||||||||
\(449\) | 14.6343 | 0.690635 | 0.345318 | − | 0.938486i | \(-0.387771\pi\) | ||||
0.345318 | + | 0.938486i | \(0.387771\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −37.6262 | −1.77175 | ||||||||
\(452\) | 88.7628 | 4.17505 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 65.4736 | 3.07283 | ||||||||
\(455\) | 3.91491 | 0.183534 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.8792 | −0.555686 | −0.277843 | − | 0.960626i | \(-0.589620\pi\) | ||||
−0.277843 | + | 0.960626i | \(0.589620\pi\) | |||||||
\(458\) | −52.2933 | −2.44350 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −17.7468 | −0.827449 | ||||||||
\(461\) | −33.7228 | −1.57063 | −0.785314 | − | 0.619097i | \(-0.787499\pi\) | ||||
−0.785314 | + | 0.619097i | \(0.787499\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 23.9819 | 1.11453 | 0.557267 | − | 0.830333i | \(-0.311850\pi\) | ||||
0.557267 | + | 0.830333i | \(0.311850\pi\) | |||||||
\(464\) | 9.49464 | 0.440778 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −64.8551 | −3.00436 | ||||||||
\(467\) | −7.83355 | −0.362494 | −0.181247 | − | 0.983438i | \(-0.558013\pi\) | ||||
−0.181247 | + | 0.983438i | \(0.558013\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.80930 | 0.175897 | ||||||||
\(470\) | 87.1802 | 4.02132 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 59.1125 | 2.72087 | ||||||||
\(473\) | 47.7313 | 2.19469 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 30.3342 | 1.39183 | ||||||||
\(476\) | 16.0647 | 0.736324 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 55.5039 | 2.53869 | ||||||||
\(479\) | 37.0307 | 1.69197 | 0.845987 | − | 0.533203i | \(-0.179012\pi\) | ||||
0.845987 | + | 0.533203i | \(0.179012\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.94440 | 0.316637 | ||||||||
\(482\) | 30.5236 | 1.39031 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 33.4231 | 1.51923 | ||||||||
\(485\) | −20.6986 | −0.939874 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.59789 | −0.208350 | −0.104175 | − | 0.994559i | \(-0.533220\pi\) | ||||
−0.104175 | + | 0.994559i | \(0.533220\pi\) | |||||||
\(488\) | 4.41219 | 0.199730 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 45.3925 | 2.05063 | ||||||||
\(491\) | −15.4946 | −0.699263 | −0.349631 | − | 0.936887i | \(-0.613693\pi\) | ||||
−0.349631 | + | 0.936887i | \(0.613693\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.20964 | 0.0995172 | ||||||||
\(494\) | −6.43125 | −0.289356 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 85.2600 | 3.82829 | ||||||||
\(497\) | −7.42275 | −0.332956 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.3943 | −0.912973 | −0.456486 | − | 0.889730i | \(-0.650892\pi\) | ||||
−0.456486 | + | 0.889730i | \(0.650892\pi\) | |||||||
\(500\) | 64.4003 | 2.88007 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 62.2794 | 2.77966 | ||||||||
\(503\) | 7.23057 | 0.322395 | 0.161198 | − | 0.986922i | \(-0.448464\pi\) | ||||
0.161198 | + | 0.986922i | \(0.448464\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 31.4227 | 1.39829 | ||||||||
\(506\) | 11.0548 | 0.491444 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −23.8458 | −1.05798 | ||||||||
\(509\) | −1.82765 | −0.0810092 | −0.0405046 | − | 0.999179i | \(-0.512897\pi\) | ||||
−0.0405046 | + | 0.999179i | \(0.512897\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.552965 | −0.0244617 | ||||||||
\(512\) | 42.9570 | 1.89845 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −37.9737 | −1.67495 | ||||||||
\(515\) | −30.7859 | −1.35659 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −38.3504 | −1.68665 | ||||||||
\(518\) | −39.0793 | −1.71704 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −18.9590 | −0.831408 | ||||||||
\(521\) | 40.4816 | 1.77353 | 0.886766 | − | 0.462219i | \(-0.152947\pi\) | ||||
0.886766 | + | 0.462219i | \(0.152947\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.5288 | 0.853935 | 0.426968 | − | 0.904267i | \(-0.359582\pi\) | ||||
0.426968 | + | 0.904267i | \(0.359582\pi\) | |||||||
\(524\) | −63.8475 | −2.78919 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.8908 | 0.562065 | ||||||||
\(527\) | 19.8421 | 0.864337 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.00000 | 0.0434783 | ||||||||
\(530\) | −43.1453 | −1.87411 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 25.5582 | 1.10809 | ||||||||
\(533\) | −6.22670 | −0.269708 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 24.0659 | 1.04046 | ||||||||
\(536\) | −18.4476 | −0.796813 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 52.5934 | 2.26746 | ||||||||
\(539\) | −19.9681 | −0.860087 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.4363 | 1.73849 | 0.869247 | − | 0.494378i | \(-0.164604\pi\) | ||||
0.869247 | + | 0.494378i | \(0.164604\pi\) | |||||||
\(542\) | 33.3049 | 1.43057 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −22.3701 | −0.959110 | ||||||||
\(545\) | −34.9842 | −1.49856 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −45.5761 | −1.94869 | −0.974346 | − | 0.225054i | \(-0.927744\pi\) | ||||
−0.974346 | + | 0.225054i | \(0.927744\pi\) | |||||||
\(548\) | −26.6268 | −1.13744 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −95.3897 | −4.06743 | ||||||||
\(551\) | 3.51544 | 0.149763 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.10348 | −0.0894491 | ||||||||
\(554\) | 41.6832 | 1.77095 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.232148 | −0.00984525 | ||||||||
\(557\) | 16.8910 | 0.715693 | 0.357847 | − | 0.933780i | \(-0.383511\pi\) | ||||
0.357847 | + | 0.933780i | \(0.383511\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.89896 | 0.334090 | ||||||||
\(560\) | 53.0113 | 2.24013 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 42.5900 | 1.79655 | ||||||||
\(563\) | −23.9174 | −1.00800 | −0.503998 | − | 0.863705i | \(-0.668138\pi\) | ||||
−0.503998 | + | 0.863705i | \(0.668138\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 68.1663 | 2.86778 | ||||||||
\(566\) | −55.8990 | −2.34961 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 35.9467 | 1.50829 | ||||||||
\(569\) | 2.67119 | 0.111982 | 0.0559912 | − | 0.998431i | \(-0.482168\pi\) | ||||
0.0559912 | + | 0.998431i | \(0.482168\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 17.8008 | 0.744942 | 0.372471 | − | 0.928044i | \(-0.378511\pi\) | ||||
0.372471 | + | 0.928044i | \(0.378511\pi\) | |||||||
\(572\) | 14.2820 | 0.597159 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 35.0404 | 1.46256 | ||||||||
\(575\) | −8.62884 | −0.359848 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 43.4020 | 1.80685 | 0.903424 | − | 0.428747i | \(-0.141045\pi\) | ||||
0.903424 | + | 0.428747i | \(0.141045\pi\) | |||||||
\(578\) | 31.6152 | 1.31502 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 17.7468 | 0.736896 | ||||||||
\(581\) | 0.511348 | 0.0212143 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 18.9796 | 0.786053 | ||||||||
\(584\) | 2.67789 | 0.110812 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 79.9458 | 3.30253 | ||||||||
\(587\) | 3.22180 | 0.132978 | 0.0664889 | − | 0.997787i | \(-0.478820\pi\) | ||||
0.0664889 | + | 0.997787i | \(0.478820\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 31.5679 | 1.30073 | ||||||||
\(590\) | 77.7388 | 3.20046 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 94.0331 | 3.86474 | ||||||||
\(593\) | 15.5297 | 0.637728 | 0.318864 | − | 0.947800i | \(-0.396699\pi\) | ||||
0.318864 | + | 0.947800i | \(0.396699\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.3370 | 0.505770 | ||||||||
\(596\) | 29.3235 | 1.20114 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.82943 | 0.0748110 | ||||||||
\(599\) | 0.373746 | 0.0152709 | 0.00763543 | − | 0.999971i | \(-0.497570\pi\) | ||||
0.00763543 | + | 0.999971i | \(0.497570\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −46.0054 | −1.87660 | −0.938300 | − | 0.345823i | \(-0.887600\pi\) | ||||
−0.938300 | + | 0.345823i | \(0.887600\pi\) | |||||||
\(602\) | −44.4510 | −1.81169 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −25.9635 | −1.05644 | ||||||||
\(605\) | 25.6676 | 1.04354 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 24.7346 | 1.00395 | 0.501973 | − | 0.864883i | \(-0.332608\pi\) | ||||
0.501973 | + | 0.864883i | \(0.332608\pi\) | |||||||
\(608\) | −35.5898 | −1.44336 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 5.80247 | 0.234935 | ||||||||
\(611\) | −6.34654 | −0.256754 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.2311 | 0.534398 | 0.267199 | − | 0.963641i | \(-0.413902\pi\) | ||||
0.267199 | + | 0.963641i | \(0.413902\pi\) | |||||||
\(614\) | 38.8432 | 1.56758 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −46.9332 | −1.89099 | ||||||||
\(617\) | 14.7372 | 0.593296 | 0.296648 | − | 0.954987i | \(-0.404131\pi\) | ||||
0.296648 | + | 0.954987i | \(0.404131\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 29.8824 | 1.20107 | 0.600537 | − | 0.799597i | \(-0.294953\pi\) | ||||
0.600537 | + | 0.799597i | \(0.294953\pi\) | |||||||
\(620\) | 159.363 | 6.40016 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −15.5551 | −0.623702 | ||||||||
\(623\) | −9.57655 | −0.383676 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.31270 | 0.252508 | ||||||||
\(626\) | −8.34653 | −0.333595 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 66.4839 | 2.65300 | ||||||||
\(629\) | 21.8839 | 0.872567 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.2973 | 0.608977 | 0.304488 | − | 0.952516i | \(-0.401515\pi\) | ||||
0.304488 | + | 0.952516i | \(0.401515\pi\) | |||||||
\(632\) | 10.1867 | 0.405204 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 35.8293 | 1.42296 | ||||||||
\(635\) | −18.3126 | −0.726713 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.30448 | −0.130928 | ||||||||
\(638\) | −11.0548 | −0.437662 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 3.23720 | 0.127961 | ||||||||
\(641\) | −6.11919 | −0.241694 | −0.120847 | − | 0.992671i | \(-0.538561\pi\) | ||||
−0.120847 | + | 0.992671i | \(0.538561\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.52335 | −0.138947 | −0.0694736 | − | 0.997584i | \(-0.522132\pi\) | ||||
−0.0694736 | + | 0.997584i | \(0.522132\pi\) | |||||||
\(644\) | −7.27027 | −0.286489 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −20.2668 | −0.797386 | ||||||||
\(647\) | 27.5242 | 1.08209 | 0.541043 | − | 0.840995i | \(-0.318030\pi\) | ||||
0.541043 | + | 0.840995i | \(0.318030\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −34.1972 | −1.34236 | ||||||||
\(650\) | −15.7859 | −0.619173 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 54.8393 | 2.14767 | ||||||||
\(653\) | 19.7095 | 0.771291 | 0.385645 | − | 0.922647i | \(-0.373979\pi\) | ||||
0.385645 | + | 0.922647i | \(0.373979\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −49.0324 | −1.91585 | ||||||||
\(656\) | −84.3148 | −3.29194 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 35.7148 | 1.39231 | ||||||||
\(659\) | 21.0981 | 0.821865 | 0.410933 | − | 0.911666i | \(-0.365203\pi\) | ||||
0.410933 | + | 0.911666i | \(0.365203\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 18.4792 | 0.718756 | 0.359378 | − | 0.933192i | \(-0.382989\pi\) | ||||
0.359378 | + | 0.933192i | \(0.382989\pi\) | |||||||
\(662\) | −69.9355 | −2.71812 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.47634 | −0.0961007 | ||||||||
\(665\) | 19.6277 | 0.761129 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −1.00000 | −0.0387202 | ||||||||
\(668\) | 71.0443 | 2.74879 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −24.2604 | −0.937261 | ||||||||
\(671\) | −2.55250 | −0.0985380 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −32.0228 | −1.23439 | −0.617194 | − | 0.786811i | \(-0.711731\pi\) | ||||
−0.617194 | + | 0.786811i | \(0.711731\pi\) | |||||||
\(674\) | 53.0297 | 2.04263 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −60.1299 | −2.31269 | ||||||||
\(677\) | 34.0940 | 1.31034 | 0.655170 | − | 0.755482i | \(-0.272597\pi\) | ||||
0.655170 | + | 0.755482i | \(0.272597\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.47952 | −0.325414 | ||||||||
\(680\) | −59.7455 | −2.29114 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −99.2695 | −3.80123 | ||||||||
\(683\) | −7.03001 | −0.268996 | −0.134498 | − | 0.990914i | \(-0.542942\pi\) | ||||
−0.134498 | + | 0.990914i | \(0.542942\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −20.4484 | −0.781291 | ||||||||
\(686\) | 46.2170 | 1.76457 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 106.959 | 4.07776 | ||||||||
\(689\) | 3.14089 | 0.119658 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.46982 | 0.246124 | 0.123062 | − | 0.992399i | \(-0.460729\pi\) | ||||
0.123062 | + | 0.992399i | \(0.460729\pi\) | |||||||
\(692\) | −95.7975 | −3.64168 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 25.8266 | 0.980366 | ||||||||
\(695\) | −0.178280 | −0.00676255 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.6222 | −0.743243 | ||||||||
\(698\) | −7.26259 | −0.274893 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 62.7340 | 2.37112 | ||||||||
\(701\) | −23.7050 | −0.895327 | −0.447664 | − | 0.894202i | \(-0.647744\pi\) | ||||
−0.447664 | + | 0.894202i | \(0.647744\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 34.8163 | 1.31312 | ||||||||
\(704\) | 31.4579 | 1.18562 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −56.3582 | −2.12107 | ||||||||
\(707\) | 12.8728 | 0.484132 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −40.1025 | −1.50608 | −0.753041 | − | 0.657974i | \(-0.771414\pi\) | ||||
−0.753041 | + | 0.657974i | \(0.771414\pi\) | |||||||
\(710\) | 47.2735 | 1.77414 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 46.3771 | 1.73805 | ||||||||
\(713\) | −8.97980 | −0.336296 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 10.9680 | 0.410180 | ||||||||
\(716\) | −38.0157 | −1.42071 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 55.1670 | 2.05881 | ||||||||
\(719\) | −9.63733 | −0.359412 | −0.179706 | − | 0.983720i | \(-0.557515\pi\) | ||||
−0.179706 | + | 0.983720i | \(0.557515\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −12.6120 | −0.469694 | ||||||||
\(722\) | 17.3285 | 0.644902 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −95.0194 | −3.53137 | ||||||||
\(725\) | 8.62884 | 0.320467 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.76929 | −0.102707 | −0.0513537 | − | 0.998681i | \(-0.516354\pi\) | ||||
−0.0513537 | + | 0.998681i | \(0.516354\pi\) | |||||||
\(728\) | −7.76688 | −0.287860 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 3.52169 | 0.130344 | ||||||||
\(731\) | 24.8920 | 0.920663 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.2252 | −0.599290 | −0.299645 | − | 0.954051i | \(-0.596868\pi\) | ||||
−0.299645 | + | 0.954051i | \(0.596868\pi\) | |||||||
\(734\) | 95.1435 | 3.51181 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 10.1239 | 0.373170 | ||||||||
\(737\) | 10.6721 | 0.393112 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −49.7801 | −1.83119 | −0.915595 | − | 0.402101i | \(-0.868280\pi\) | ||||
−0.915595 | + | 0.402101i | \(0.868280\pi\) | |||||||
\(740\) | 175.761 | 6.46110 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −17.6752 | −0.648877 | ||||||||
\(743\) | −14.2271 | −0.521943 | −0.260972 | − | 0.965346i | \(-0.584043\pi\) | ||||
−0.260972 | + | 0.965346i | \(0.584043\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.5193 | 0.825043 | ||||||||
\(746\) | 96.9456 | 3.54943 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 45.0068 | 1.64561 | ||||||||
\(749\) | 9.85900 | 0.360240 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.0590 | −0.914415 | −0.457208 | − | 0.889360i | \(-0.651150\pi\) | ||||
−0.457208 | + | 0.889360i | \(0.651150\pi\) | |||||||
\(752\) | −85.9376 | −3.13382 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.82943 | −0.0666239 | ||||||||
\(755\) | −19.9390 | −0.725653 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.05502 | −0.111036 | −0.0555182 | − | 0.998458i | \(-0.517681\pi\) | ||||
−0.0555182 | + | 0.998458i | \(0.517681\pi\) | |||||||
\(758\) | 42.0532 | 1.52744 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −95.0525 | −3.44792 | ||||||||
\(761\) | 2.61322 | 0.0947292 | 0.0473646 | − | 0.998878i | \(-0.484918\pi\) | ||||
0.0473646 | + | 0.998878i | \(0.484918\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −14.3319 | −0.518849 | ||||||||
\(764\) | 63.4567 | 2.29578 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −12.9115 | −0.466511 | ||||||||
\(767\) | −5.65923 | −0.204343 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 22.1751 | 0.799656 | 0.399828 | − | 0.916590i | \(-0.369070\pi\) | ||||
0.399828 | + | 0.916590i | \(0.369070\pi\) | |||||||
\(770\) | −61.7218 | −2.22430 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 46.0261 | 1.65652 | ||||||||
\(773\) | −11.3168 | −0.407038 | −0.203519 | − | 0.979071i | \(-0.565238\pi\) | ||||
−0.203519 | + | 0.979071i | \(0.565238\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 77.4853 | 2.78335 | ||||||||
\(776\) | 41.0644 | 1.47413 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −79.6517 | −2.85565 | ||||||||
\(779\) | −31.2180 | −1.11850 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −20.7955 | −0.744123 | ||||||||
\(782\) | 5.76508 | 0.206159 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −44.7455 | −1.59805 | ||||||||
\(785\) | 51.0570 | 1.82230 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 37.1389 | 1.32386 | 0.661929 | − | 0.749567i | \(-0.269738\pi\) | ||||
0.661929 | + | 0.749567i | \(0.269738\pi\) | |||||||
\(788\) | −46.2206 | −1.64654 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 13.3965 | 0.476626 | ||||||||
\(791\) | 27.9255 | 0.992915 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.422408 | −0.0150001 | ||||||||
\(794\) | −51.2977 | −1.82049 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 54.4781 | 1.93093 | ||||||||
\(797\) | 43.9748 | 1.55767 | 0.778834 | − | 0.627230i | \(-0.215812\pi\) | ||||
0.778834 | + | 0.627230i | \(0.215812\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −19.9998 | −0.707543 | ||||||||
\(800\) | −87.3572 | −3.08854 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.75553 | 0.203235 | ||||||||
\(803\) | −1.54918 | −0.0546695 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.58328 | −0.196785 | ||||||||
\(806\) | −16.4279 | −0.578649 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −62.3402 | −2.19312 | ||||||||
\(809\) | −41.4248 | −1.45642 | −0.728209 | − | 0.685355i | \(-0.759647\pi\) | ||||
−0.728209 | + | 0.685355i | \(0.759647\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −10.3238 | −0.362517 | −0.181259 | − | 0.983435i | \(-0.558017\pi\) | ||||
−0.181259 | + | 0.983435i | \(0.558017\pi\) | |||||||
\(812\) | 7.27027 | 0.255137 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −109.484 | −3.83742 | ||||||||
\(815\) | 42.1144 | 1.47520 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 39.6020 | 1.38550 | ||||||||
\(818\) | −59.6604 | −2.08598 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −157.596 | −5.50350 | ||||||||
\(821\) | 51.6597 | 1.80294 | 0.901468 | − | 0.432847i | \(-0.142491\pi\) | ||||
0.901468 | + | 0.432847i | \(0.142491\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −40.6980 | −1.41864 | −0.709321 | − | 0.704885i | \(-0.750999\pi\) | ||||
−0.709321 | + | 0.704885i | \(0.750999\pi\) | |||||||
\(824\) | 61.0769 | 2.12771 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 31.8470 | 1.10810 | ||||||||
\(827\) | −50.8508 | −1.76825 | −0.884127 | − | 0.467246i | \(-0.845246\pi\) | ||||
−0.884127 | + | 0.467246i | \(0.845246\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.48767 | 0.0864002 | 0.0432001 | − | 0.999066i | \(-0.486245\pi\) | ||||
0.0432001 | + | 0.999066i | \(0.486245\pi\) | |||||||
\(830\) | −3.25664 | −0.113040 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.20592 | 0.180483 | ||||||||
\(833\) | −10.4134 | −0.360803 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 54.5592 | 1.88810 | ||||||||
\(836\) | 71.6037 | 2.47647 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −76.9642 | −2.65868 | ||||||||
\(839\) | 24.0680 | 0.830920 | 0.415460 | − | 0.909611i | \(-0.363621\pi\) | ||||
0.415460 | + | 0.909611i | \(0.363621\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.00000 | 0.0344828 | ||||||||
\(842\) | −34.9625 | −1.20489 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −55.1053 | −1.89680 | ||||||||
\(845\) | −46.1774 | −1.58855 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.5152 | 0.361306 | ||||||||
\(848\) | 42.5304 | 1.46050 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −49.7460 | −1.70627 | ||||||||
\(851\) | −9.90381 | −0.339498 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −29.3789 | −1.00591 | −0.502957 | − | 0.864311i | \(-0.667755\pi\) | ||||
−0.502957 | + | 0.864311i | \(0.667755\pi\) | |||||||
\(854\) | 2.37708 | 0.0813420 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −47.7449 | −1.63189 | ||||||||
\(857\) | 36.0521 | 1.23152 | 0.615759 | − | 0.787935i | \(-0.288850\pi\) | ||||
0.615759 | + | 0.787935i | \(0.288850\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.20772 | 0.0412069 | 0.0206034 | − | 0.999788i | \(-0.493441\pi\) | ||||
0.0206034 | + | 0.999788i | \(0.493441\pi\) | |||||||
\(860\) | 199.921 | 6.81724 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 44.6546 | 1.52094 | ||||||||
\(863\) | −32.7886 | −1.11614 | −0.558068 | − | 0.829795i | \(-0.688457\pi\) | ||||
−0.558068 | + | 0.829795i | \(0.688457\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −73.5687 | −2.50141 | ||||||||
\(866\) | −32.8547 | −1.11645 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 65.2856 | 2.21594 | ||||||||
\(869\) | −5.89310 | −0.199910 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.76611 | 0.0598422 | ||||||||
\(872\) | 69.4060 | 2.35038 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 9.17198 | 0.310247 | ||||||||
\(875\) | 20.2608 | 0.684942 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21.3463 | −0.720814 | −0.360407 | − | 0.932795i | \(-0.617362\pi\) | ||||
−0.360407 | + | 0.932795i | \(0.617362\pi\) | |||||||
\(878\) | 60.6056 | 2.04534 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 148.516 | 5.00648 | ||||||||
\(881\) | −9.84842 | −0.331802 | −0.165901 | − | 0.986142i | \(-0.553053\pi\) | ||||
−0.165901 | + | 0.986142i | \(0.553053\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 34.9158 | 1.17501 | 0.587505 | − | 0.809221i | \(-0.300110\pi\) | ||||
0.587505 | + | 0.809221i | \(0.300110\pi\) | |||||||
\(884\) | 7.44808 | 0.250506 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 96.7984 | 3.25201 | ||||||||
\(887\) | −0.630213 | −0.0211605 | −0.0105802 | − | 0.999944i | \(-0.503368\pi\) | ||||
−0.0105802 | + | 0.999944i | \(0.503368\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −7.50206 | −0.251611 | ||||||||
\(890\) | 60.9905 | 2.04441 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.0809 | 0.337534 | ||||||||
\(893\) | −31.8188 | −1.06478 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −29.1945 | −0.975866 | ||||||||
\(896\) | 1.32617 | 0.0443043 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −38.1817 | −1.27414 | ||||||||
\(899\) | 8.97980 | 0.299493 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 9.89788 | 0.329746 | ||||||||
\(902\) | 98.1691 | 3.26867 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −135.237 | −4.49791 | ||||||||
\(905\) | −72.9711 | −2.42564 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 38.0210 | 1.26247 | 0.631233 | − | 0.775594i | \(-0.282549\pi\) | ||||
0.631233 | + | 0.775594i | \(0.282549\pi\) | |||||||
\(908\) | −120.635 | −4.00341 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −10.2142 | −0.338598 | ||||||||
\(911\) | −28.6837 | −0.950334 | −0.475167 | − | 0.879896i | \(-0.657612\pi\) | ||||
−0.475167 | + | 0.879896i | \(0.657612\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.43259 | 0.0474118 | ||||||||
\(914\) | 30.9936 | 1.02518 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 96.3502 | 3.18350 | ||||||||
\(917\) | −20.0869 | −0.663329 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −39.2719 | −1.29546 | −0.647730 | − | 0.761870i | \(-0.724281\pi\) | ||||
−0.647730 | + | 0.761870i | \(0.724281\pi\) | |||||||
\(920\) | 27.0386 | 0.891436 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 87.9848 | 2.89763 | ||||||||
\(923\) | −3.44141 | −0.113276 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 85.4584 | 2.80986 | ||||||||
\(926\) | −62.5702 | −2.05619 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −10.1239 | −0.332332 | ||||||||
\(929\) | 4.31768 | 0.141658 | 0.0708292 | − | 0.997488i | \(-0.477435\pi\) | ||||
0.0708292 | + | 0.997488i | \(0.477435\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −16.5673 | −0.542970 | ||||||||
\(932\) | 119.495 | 3.91420 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 20.4382 | 0.668758 | ||||||||
\(935\) | 34.5634 | 1.13034 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −52.6718 | −1.72071 | −0.860357 | − | 0.509692i | \(-0.829759\pi\) | ||||
−0.860357 | + | 0.509692i | \(0.829759\pi\) | |||||||
\(938\) | −9.93867 | −0.324509 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −160.629 | −5.23915 | ||||||||
\(941\) | 42.8842 | 1.39799 | 0.698993 | − | 0.715129i | \(-0.253632\pi\) | ||||
0.698993 | + | 0.715129i | \(0.253632\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.88026 | 0.289181 | ||||||||
\(944\) | −76.6308 | −2.49412 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −124.534 | −4.04894 | ||||||||
\(947\) | −2.44951 | −0.0795985 | −0.0397992 | − | 0.999208i | \(-0.512672\pi\) | ||||
−0.0397992 | + | 0.999208i | \(0.512672\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.256372 | −0.00832218 | ||||||||
\(950\) | −79.1436 | −2.56776 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −24.4758 | −0.793264 | ||||||||
\(953\) | 56.1592 | 1.81917 | 0.909587 | − | 0.415514i | \(-0.136398\pi\) | ||||
0.909587 | + | 0.415514i | \(0.136398\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 48.7323 | 1.57694 | ||||||||
\(956\) | −102.266 | −3.30751 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −96.6151 | −3.12149 | ||||||||
\(959\) | −8.37701 | −0.270508 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 49.6368 | 1.60119 | ||||||||
\(962\) | −18.1183 | −0.584159 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −56.2396 | −1.81136 | ||||||||
\(965\) | 35.3463 | 1.13784 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.76873 | 0.153352 | 0.0766759 | − | 0.997056i | \(-0.475569\pi\) | ||||
0.0766759 | + | 0.997056i | \(0.475569\pi\) | |||||||
\(968\) | −50.9226 | −1.63672 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 54.0038 | 1.73396 | ||||||||
\(971\) | 3.50955 | 0.112627 | 0.0563135 | − | 0.998413i | \(-0.482065\pi\) | ||||
0.0563135 | + | 0.998413i | \(0.482065\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.0730355 | −0.00234141 | ||||||||
\(974\) | 11.9962 | 0.384382 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.71977 | −0.183085 | ||||||||
\(977\) | 9.87694 | 0.315991 | 0.157996 | − | 0.987440i | \(-0.449497\pi\) | ||||
0.157996 | + | 0.987440i | \(0.449497\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −26.8296 | −0.857478 | ||||||||
\(980\) | −83.6356 | −2.67164 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 40.4264 | 1.29006 | ||||||||
\(983\) | 33.0274 | 1.05341 | 0.526705 | − | 0.850048i | \(-0.323427\pi\) | ||||
0.526705 | + | 0.850048i | \(0.323427\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −35.4956 | −1.13098 | ||||||||
\(986\) | −5.76508 | −0.183598 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 11.8496 | 0.376985 | ||||||||
\(989\) | −11.2652 | −0.358211 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 44.4376 | 1.41161 | 0.705803 | − | 0.708408i | \(-0.250586\pi\) | ||||
0.705803 | + | 0.708408i | \(0.250586\pi\) | |||||||
\(992\) | −90.9103 | −2.88640 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 19.3664 | 0.614264 | ||||||||
\(995\) | 41.8370 | 1.32632 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 29.6782 | 0.939919 | 0.469960 | − | 0.882688i | \(-0.344268\pi\) | ||||
0.469960 | + | 0.882688i | \(0.344268\pi\) | |||||||
\(998\) | 53.2098 | 1.68433 | ||||||||
\(999\) | 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 | 6003.2.a.w.1.2 | yes | 30 | |
3.2 | odd | 2 | 6003.2.a.v.1.29 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
6003.2.a.v.1.29 | ✓ | 30 | 3.2 | odd | 2 | ||
6003.2.a.w.1.2 | yes | 30 | 1.1 | even | 1 | trivial |