Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [8018,2,Mod(1,8018)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(8018, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([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("8018.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 8018 = 2 \cdot 19 \cdot 211 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8018.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: | \(64.0240523407\) |
Analytic rank: | \(0\) |
Dimension: | \(49\) |
Twist minimal: | yes |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Character | \(\chi\) | \(=\) | 8018.1 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −3.18331 | −1.83788 | −0.918942 | − | 0.394392i | \(-0.870955\pi\) | ||||
−0.918942 | + | 0.394392i | \(0.870955\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 4.19262 | 1.87500 | 0.937499 | − | 0.347988i | \(-0.113135\pi\) | ||||
0.937499 | + | 0.347988i | \(0.113135\pi\) | |||||||
\(6\) | −3.18331 | −1.29958 | ||||||||
\(7\) | −3.25533 | −1.23040 | −0.615200 | − | 0.788371i | \(-0.710925\pi\) | ||||
−0.615200 | + | 0.788371i | \(0.710925\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 7.13346 | 2.37782 | ||||||||
\(10\) | 4.19262 | 1.32582 | ||||||||
\(11\) | 2.73492 | 0.824610 | 0.412305 | − | 0.911046i | \(-0.364724\pi\) | ||||
0.412305 | + | 0.911046i | \(0.364724\pi\) | |||||||
\(12\) | −3.18331 | −0.918942 | ||||||||
\(13\) | −0.0802502 | −0.0222574 | −0.0111287 | − | 0.999938i | \(-0.503542\pi\) | ||||
−0.0111287 | + | 0.999938i | \(0.503542\pi\) | |||||||
\(14\) | −3.25533 | −0.870025 | ||||||||
\(15\) | −13.3464 | −3.44603 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 6.27732 | 1.52247 | 0.761237 | − | 0.648473i | \(-0.224592\pi\) | ||||
0.761237 | + | 0.648473i | \(0.224592\pi\) | |||||||
\(18\) | 7.13346 | 1.68137 | ||||||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | 4.19262 | 0.937499 | ||||||||
\(21\) | 10.3627 | 2.26133 | ||||||||
\(22\) | 2.73492 | 0.583087 | ||||||||
\(23\) | 7.19971 | 1.50124 | 0.750621 | − | 0.660733i | \(-0.229754\pi\) | ||||
0.750621 | + | 0.660733i | \(0.229754\pi\) | |||||||
\(24\) | −3.18331 | −0.649790 | ||||||||
\(25\) | 12.5781 | 2.51562 | ||||||||
\(26\) | −0.0802502 | −0.0157384 | ||||||||
\(27\) | −13.1581 | −2.53227 | ||||||||
\(28\) | −3.25533 | −0.615200 | ||||||||
\(29\) | 5.00770 | 0.929906 | 0.464953 | − | 0.885335i | \(-0.346071\pi\) | ||||
0.464953 | + | 0.885335i | \(0.346071\pi\) | |||||||
\(30\) | −13.3464 | −2.43671 | ||||||||
\(31\) | 8.11016 | 1.45663 | 0.728314 | − | 0.685243i | \(-0.240304\pi\) | ||||
0.728314 | + | 0.685243i | \(0.240304\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −8.70610 | −1.51554 | ||||||||
\(34\) | 6.27732 | 1.07655 | ||||||||
\(35\) | −13.6484 | −2.30700 | ||||||||
\(36\) | 7.13346 | 1.18891 | ||||||||
\(37\) | −2.14709 | −0.352979 | −0.176490 | − | 0.984302i | \(-0.556474\pi\) | ||||
−0.176490 | + | 0.984302i | \(0.556474\pi\) | |||||||
\(38\) | 1.00000 | 0.162221 | ||||||||
\(39\) | 0.255461 | 0.0409065 | ||||||||
\(40\) | 4.19262 | 0.662912 | ||||||||
\(41\) | −8.32464 | −1.30009 | −0.650045 | − | 0.759896i | \(-0.725250\pi\) | ||||
−0.650045 | + | 0.759896i | \(0.725250\pi\) | |||||||
\(42\) | 10.3627 | 1.59901 | ||||||||
\(43\) | −1.83568 | −0.279938 | −0.139969 | − | 0.990156i | \(-0.544700\pi\) | ||||
−0.139969 | + | 0.990156i | \(0.544700\pi\) | |||||||
\(44\) | 2.73492 | 0.412305 | ||||||||
\(45\) | 29.9079 | 4.45841 | ||||||||
\(46\) | 7.19971 | 1.06154 | ||||||||
\(47\) | −5.19115 | −0.757207 | −0.378603 | − | 0.925559i | \(-0.623596\pi\) | ||||
−0.378603 | + | 0.925559i | \(0.623596\pi\) | |||||||
\(48\) | −3.18331 | −0.459471 | ||||||||
\(49\) | 3.59720 | 0.513886 | ||||||||
\(50\) | 12.5781 | 1.77881 | ||||||||
\(51\) | −19.9827 | −2.79813 | ||||||||
\(52\) | −0.0802502 | −0.0111287 | ||||||||
\(53\) | 4.03344 | 0.554035 | 0.277018 | − | 0.960865i | \(-0.410654\pi\) | ||||
0.277018 | + | 0.960865i | \(0.410654\pi\) | |||||||
\(54\) | −13.1581 | −1.79059 | ||||||||
\(55\) | 11.4665 | 1.54614 | ||||||||
\(56\) | −3.25533 | −0.435012 | ||||||||
\(57\) | −3.18331 | −0.421640 | ||||||||
\(58\) | 5.00770 | 0.657543 | ||||||||
\(59\) | 2.23813 | 0.291379 | 0.145690 | − | 0.989330i | \(-0.453460\pi\) | ||||
0.145690 | + | 0.989330i | \(0.453460\pi\) | |||||||
\(60\) | −13.3464 | −1.72301 | ||||||||
\(61\) | −8.13553 | −1.04165 | −0.520824 | − | 0.853664i | \(-0.674375\pi\) | ||||
−0.520824 | + | 0.853664i | \(0.674375\pi\) | |||||||
\(62\) | 8.11016 | 1.02999 | ||||||||
\(63\) | −23.2218 | −2.92567 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.336459 | −0.0417326 | ||||||||
\(66\) | −8.70610 | −1.07165 | ||||||||
\(67\) | 9.56026 | 1.16797 | 0.583986 | − | 0.811764i | \(-0.301492\pi\) | ||||
0.583986 | + | 0.811764i | \(0.301492\pi\) | |||||||
\(68\) | 6.27732 | 0.761237 | ||||||||
\(69\) | −22.9189 | −2.75911 | ||||||||
\(70\) | −13.6484 | −1.63129 | ||||||||
\(71\) | −11.2757 | −1.33817 | −0.669087 | − | 0.743184i | \(-0.733315\pi\) | ||||
−0.669087 | + | 0.743184i | \(0.733315\pi\) | |||||||
\(72\) | 7.13346 | 0.840686 | ||||||||
\(73\) | 14.6029 | 1.70914 | 0.854569 | − | 0.519339i | \(-0.173822\pi\) | ||||
0.854569 | + | 0.519339i | \(0.173822\pi\) | |||||||
\(74\) | −2.14709 | −0.249594 | ||||||||
\(75\) | −40.0399 | −4.62341 | ||||||||
\(76\) | 1.00000 | 0.114708 | ||||||||
\(77\) | −8.90308 | −1.01460 | ||||||||
\(78\) | 0.255461 | 0.0289253 | ||||||||
\(79\) | −16.1807 | −1.82047 | −0.910236 | − | 0.414089i | \(-0.864100\pi\) | ||||
−0.910236 | + | 0.414089i | \(0.864100\pi\) | |||||||
\(80\) | 4.19262 | 0.468749 | ||||||||
\(81\) | 20.4858 | 2.27621 | ||||||||
\(82\) | −8.32464 | −0.919302 | ||||||||
\(83\) | 0.187647 | 0.0205969 | 0.0102985 | − | 0.999947i | \(-0.496722\pi\) | ||||
0.0102985 | + | 0.999947i | \(0.496722\pi\) | |||||||
\(84\) | 10.3627 | 1.13067 | ||||||||
\(85\) | 26.3184 | 2.85464 | ||||||||
\(86\) | −1.83568 | −0.197946 | ||||||||
\(87\) | −15.9410 | −1.70906 | ||||||||
\(88\) | 2.73492 | 0.291544 | ||||||||
\(89\) | −6.14015 | −0.650855 | −0.325428 | − | 0.945567i | \(-0.605508\pi\) | ||||
−0.325428 | + | 0.945567i | \(0.605508\pi\) | |||||||
\(90\) | 29.9079 | 3.15257 | ||||||||
\(91\) | 0.261241 | 0.0273855 | ||||||||
\(92\) | 7.19971 | 0.750621 | ||||||||
\(93\) | −25.8172 | −2.67711 | ||||||||
\(94\) | −5.19115 | −0.535426 | ||||||||
\(95\) | 4.19262 | 0.430154 | ||||||||
\(96\) | −3.18331 | −0.324895 | ||||||||
\(97\) | 16.8692 | 1.71280 | 0.856401 | − | 0.516310i | \(-0.172695\pi\) | ||||
0.856401 | + | 0.516310i | \(0.172695\pi\) | |||||||
\(98\) | 3.59720 | 0.363372 | ||||||||
\(99\) | 19.5094 | 1.96077 | ||||||||
\(100\) | 12.5781 | 1.25781 | ||||||||
\(101\) | −8.91662 | −0.887237 | −0.443618 | − | 0.896216i | \(-0.646305\pi\) | ||||
−0.443618 | + | 0.896216i | \(0.646305\pi\) | |||||||
\(102\) | −19.9827 | −1.97858 | ||||||||
\(103\) | −1.91103 | −0.188300 | −0.0941498 | − | 0.995558i | \(-0.530013\pi\) | ||||
−0.0941498 | + | 0.995558i | \(0.530013\pi\) | |||||||
\(104\) | −0.0802502 | −0.00786918 | ||||||||
\(105\) | 43.4470 | 4.24000 | ||||||||
\(106\) | 4.03344 | 0.391762 | ||||||||
\(107\) | 5.08997 | 0.492066 | 0.246033 | − | 0.969261i | \(-0.420873\pi\) | ||||
0.246033 | + | 0.969261i | \(0.420873\pi\) | |||||||
\(108\) | −13.1581 | −1.26614 | ||||||||
\(109\) | 3.01265 | 0.288559 | 0.144280 | − | 0.989537i | \(-0.453913\pi\) | ||||
0.144280 | + | 0.989537i | \(0.453913\pi\) | |||||||
\(110\) | 11.4665 | 1.09329 | ||||||||
\(111\) | 6.83485 | 0.648735 | ||||||||
\(112\) | −3.25533 | −0.307600 | ||||||||
\(113\) | 15.5786 | 1.46551 | 0.732757 | − | 0.680490i | \(-0.238233\pi\) | ||||
0.732757 | + | 0.680490i | \(0.238233\pi\) | |||||||
\(114\) | −3.18331 | −0.298144 | ||||||||
\(115\) | 30.1857 | 2.81483 | ||||||||
\(116\) | 5.00770 | 0.464953 | ||||||||
\(117\) | −0.572461 | −0.0529241 | ||||||||
\(118\) | 2.23813 | 0.206036 | ||||||||
\(119\) | −20.4348 | −1.87325 | ||||||||
\(120\) | −13.3464 | −1.21836 | ||||||||
\(121\) | −3.52021 | −0.320019 | ||||||||
\(122\) | −8.13553 | −0.736557 | ||||||||
\(123\) | 26.4999 | 2.38942 | ||||||||
\(124\) | 8.11016 | 0.728314 | ||||||||
\(125\) | 31.7720 | 2.84178 | ||||||||
\(126\) | −23.2218 | −2.06876 | ||||||||
\(127\) | 4.94018 | 0.438370 | 0.219185 | − | 0.975683i | \(-0.429660\pi\) | ||||
0.219185 | + | 0.975683i | \(0.429660\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 5.84353 | 0.514495 | ||||||||
\(130\) | −0.336459 | −0.0295094 | ||||||||
\(131\) | −2.50142 | −0.218550 | −0.109275 | − | 0.994012i | \(-0.534853\pi\) | ||||
−0.109275 | + | 0.994012i | \(0.534853\pi\) | |||||||
\(132\) | −8.70610 | −0.757769 | ||||||||
\(133\) | −3.25533 | −0.282273 | ||||||||
\(134\) | 9.56026 | 0.825881 | ||||||||
\(135\) | −55.1668 | −4.74801 | ||||||||
\(136\) | 6.27732 | 0.538276 | ||||||||
\(137\) | −7.48159 | −0.639196 | −0.319598 | − | 0.947553i | \(-0.603548\pi\) | ||||
−0.319598 | + | 0.947553i | \(0.603548\pi\) | |||||||
\(138\) | −22.9189 | −1.95099 | ||||||||
\(139\) | −8.29124 | −0.703254 | −0.351627 | − | 0.936140i | \(-0.614371\pi\) | ||||
−0.351627 | + | 0.936140i | \(0.614371\pi\) | |||||||
\(140\) | −13.6484 | −1.15350 | ||||||||
\(141\) | 16.5250 | 1.39166 | ||||||||
\(142\) | −11.2757 | −0.946232 | ||||||||
\(143\) | −0.219478 | −0.0183537 | ||||||||
\(144\) | 7.13346 | 0.594455 | ||||||||
\(145\) | 20.9954 | 1.74357 | ||||||||
\(146\) | 14.6029 | 1.20854 | ||||||||
\(147\) | −11.4510 | −0.944464 | ||||||||
\(148\) | −2.14709 | −0.176490 | ||||||||
\(149\) | 18.1912 | 1.49028 | 0.745141 | − | 0.666907i | \(-0.232382\pi\) | ||||
0.745141 | + | 0.666907i | \(0.232382\pi\) | |||||||
\(150\) | −40.0399 | −3.26925 | ||||||||
\(151\) | −9.58416 | −0.779948 | −0.389974 | − | 0.920826i | \(-0.627516\pi\) | ||||
−0.389974 | + | 0.920826i | \(0.627516\pi\) | |||||||
\(152\) | 1.00000 | 0.0811107 | ||||||||
\(153\) | 44.7790 | 3.62017 | ||||||||
\(154\) | −8.90308 | −0.717431 | ||||||||
\(155\) | 34.0029 | 2.73118 | ||||||||
\(156\) | 0.255461 | 0.0204533 | ||||||||
\(157\) | −10.6000 | −0.845973 | −0.422986 | − | 0.906136i | \(-0.639018\pi\) | ||||
−0.422986 | + | 0.906136i | \(0.639018\pi\) | |||||||
\(158\) | −16.1807 | −1.28727 | ||||||||
\(159\) | −12.8397 | −1.01825 | ||||||||
\(160\) | 4.19262 | 0.331456 | ||||||||
\(161\) | −23.4375 | −1.84713 | ||||||||
\(162\) | 20.4858 | 1.60952 | ||||||||
\(163\) | −10.7524 | −0.842191 | −0.421095 | − | 0.907016i | \(-0.638354\pi\) | ||||
−0.421095 | + | 0.907016i | \(0.638354\pi\) | |||||||
\(164\) | −8.32464 | −0.650045 | ||||||||
\(165\) | −36.5014 | −2.84163 | ||||||||
\(166\) | 0.187647 | 0.0145642 | ||||||||
\(167\) | −12.8734 | −0.996175 | −0.498087 | − | 0.867127i | \(-0.665964\pi\) | ||||
−0.498087 | + | 0.867127i | \(0.665964\pi\) | |||||||
\(168\) | 10.3627 | 0.799503 | ||||||||
\(169\) | −12.9936 | −0.999505 | ||||||||
\(170\) | 26.3184 | 2.01853 | ||||||||
\(171\) | 7.13346 | 0.545509 | ||||||||
\(172\) | −1.83568 | −0.139969 | ||||||||
\(173\) | −16.6802 | −1.26817 | −0.634086 | − | 0.773263i | \(-0.718623\pi\) | ||||
−0.634086 | + | 0.773263i | \(0.718623\pi\) | |||||||
\(174\) | −15.9410 | −1.20849 | ||||||||
\(175\) | −40.9459 | −3.09522 | ||||||||
\(176\) | 2.73492 | 0.206152 | ||||||||
\(177\) | −7.12465 | −0.535522 | ||||||||
\(178\) | −6.14015 | −0.460224 | ||||||||
\(179\) | 5.86458 | 0.438339 | 0.219170 | − | 0.975687i | \(-0.429665\pi\) | ||||
0.219170 | + | 0.975687i | \(0.429665\pi\) | |||||||
\(180\) | 29.9079 | 2.22920 | ||||||||
\(181\) | −16.1501 | −1.20043 | −0.600215 | − | 0.799839i | \(-0.704918\pi\) | ||||
−0.600215 | + | 0.799839i | \(0.704918\pi\) | |||||||
\(182\) | 0.261241 | 0.0193645 | ||||||||
\(183\) | 25.8979 | 1.91443 | ||||||||
\(184\) | 7.19971 | 0.530769 | ||||||||
\(185\) | −9.00193 | −0.661835 | ||||||||
\(186\) | −25.8172 | −1.89301 | ||||||||
\(187\) | 17.1680 | 1.25545 | ||||||||
\(188\) | −5.19115 | −0.378603 | ||||||||
\(189\) | 42.8339 | 3.11571 | ||||||||
\(190\) | 4.19262 | 0.304165 | ||||||||
\(191\) | 7.32475 | 0.530000 | 0.265000 | − | 0.964248i | \(-0.414628\pi\) | ||||
0.265000 | + | 0.964248i | \(0.414628\pi\) | |||||||
\(192\) | −3.18331 | −0.229736 | ||||||||
\(193\) | −12.4506 | −0.896211 | −0.448105 | − | 0.893981i | \(-0.647901\pi\) | ||||
−0.448105 | + | 0.893981i | \(0.647901\pi\) | |||||||
\(194\) | 16.8692 | 1.21113 | ||||||||
\(195\) | 1.07105 | 0.0766996 | ||||||||
\(196\) | 3.59720 | 0.256943 | ||||||||
\(197\) | −8.70333 | −0.620086 | −0.310043 | − | 0.950722i | \(-0.600344\pi\) | ||||
−0.310043 | + | 0.950722i | \(0.600344\pi\) | |||||||
\(198\) | 19.5094 | 1.38648 | ||||||||
\(199\) | 3.37370 | 0.239155 | 0.119577 | − | 0.992825i | \(-0.461846\pi\) | ||||
0.119577 | + | 0.992825i | \(0.461846\pi\) | |||||||
\(200\) | 12.5781 | 0.889405 | ||||||||
\(201\) | −30.4333 | −2.14660 | ||||||||
\(202\) | −8.91662 | −0.627371 | ||||||||
\(203\) | −16.3017 | −1.14416 | ||||||||
\(204\) | −19.9827 | −1.39907 | ||||||||
\(205\) | −34.9021 | −2.43767 | ||||||||
\(206\) | −1.91103 | −0.133148 | ||||||||
\(207\) | 51.3588 | 3.56968 | ||||||||
\(208\) | −0.0802502 | −0.00556435 | ||||||||
\(209\) | 2.73492 | 0.189178 | ||||||||
\(210\) | 43.4470 | 2.99813 | ||||||||
\(211\) | 1.00000 | 0.0688428 | ||||||||
\(212\) | 4.03344 | 0.277018 | ||||||||
\(213\) | 35.8939 | 2.45941 | ||||||||
\(214\) | 5.08997 | 0.347944 | ||||||||
\(215\) | −7.69631 | −0.524884 | ||||||||
\(216\) | −13.1581 | −0.895294 | ||||||||
\(217\) | −26.4013 | −1.79224 | ||||||||
\(218\) | 3.01265 | 0.204042 | ||||||||
\(219\) | −46.4855 | −3.14120 | ||||||||
\(220\) | 11.4665 | 0.773071 | ||||||||
\(221\) | −0.503756 | −0.0338863 | ||||||||
\(222\) | 6.83485 | 0.458725 | ||||||||
\(223\) | −16.6419 | −1.11442 | −0.557211 | − | 0.830371i | \(-0.688129\pi\) | ||||
−0.557211 | + | 0.830371i | \(0.688129\pi\) | |||||||
\(224\) | −3.25533 | −0.217506 | ||||||||
\(225\) | 89.7252 | 5.98168 | ||||||||
\(226\) | 15.5786 | 1.03628 | ||||||||
\(227\) | 16.9296 | 1.12366 | 0.561829 | − | 0.827253i | \(-0.310098\pi\) | ||||
0.561829 | + | 0.827253i | \(0.310098\pi\) | |||||||
\(228\) | −3.18331 | −0.210820 | ||||||||
\(229\) | 12.0050 | 0.793315 | 0.396657 | − | 0.917967i | \(-0.370170\pi\) | ||||
0.396657 | + | 0.917967i | \(0.370170\pi\) | |||||||
\(230\) | 30.1857 | 1.99038 | ||||||||
\(231\) | 28.3413 | 1.86472 | ||||||||
\(232\) | 5.00770 | 0.328771 | ||||||||
\(233\) | 26.4162 | 1.73059 | 0.865293 | − | 0.501267i | \(-0.167132\pi\) | ||||
0.865293 | + | 0.501267i | \(0.167132\pi\) | |||||||
\(234\) | −0.572461 | −0.0374230 | ||||||||
\(235\) | −21.7645 | −1.41976 | ||||||||
\(236\) | 2.23813 | 0.145690 | ||||||||
\(237\) | 51.5082 | 3.34582 | ||||||||
\(238\) | −20.4348 | −1.32459 | ||||||||
\(239\) | −8.87463 | −0.574052 | −0.287026 | − | 0.957923i | \(-0.592667\pi\) | ||||
−0.287026 | + | 0.957923i | \(0.592667\pi\) | |||||||
\(240\) | −13.3464 | −0.861507 | ||||||||
\(241\) | −25.8003 | −1.66195 | −0.830973 | − | 0.556313i | \(-0.812215\pi\) | ||||
−0.830973 | + | 0.556313i | \(0.812215\pi\) | |||||||
\(242\) | −3.52021 | −0.226288 | ||||||||
\(243\) | −25.7386 | −1.65113 | ||||||||
\(244\) | −8.13553 | −0.520824 | ||||||||
\(245\) | 15.0817 | 0.963536 | ||||||||
\(246\) | 26.4999 | 1.68957 | ||||||||
\(247\) | −0.0802502 | −0.00510620 | ||||||||
\(248\) | 8.11016 | 0.514996 | ||||||||
\(249\) | −0.597338 | −0.0378548 | ||||||||
\(250\) | 31.7720 | 2.00944 | ||||||||
\(251\) | 15.2550 | 0.962886 | 0.481443 | − | 0.876477i | \(-0.340113\pi\) | ||||
0.481443 | + | 0.876477i | \(0.340113\pi\) | |||||||
\(252\) | −23.2218 | −1.46284 | ||||||||
\(253\) | 19.6906 | 1.23794 | ||||||||
\(254\) | 4.94018 | 0.309974 | ||||||||
\(255\) | −83.7798 | −5.24649 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 9.48851 | 0.591877 | 0.295939 | − | 0.955207i | \(-0.404368\pi\) | ||||
0.295939 | + | 0.955207i | \(0.404368\pi\) | |||||||
\(258\) | 5.84353 | 0.363803 | ||||||||
\(259\) | 6.98949 | 0.434306 | ||||||||
\(260\) | −0.336459 | −0.0208663 | ||||||||
\(261\) | 35.7222 | 2.21115 | ||||||||
\(262\) | −2.50142 | −0.154538 | ||||||||
\(263\) | −7.79152 | −0.480446 | −0.240223 | − | 0.970718i | \(-0.577221\pi\) | ||||
−0.240223 | + | 0.970718i | \(0.577221\pi\) | |||||||
\(264\) | −8.70610 | −0.535823 | ||||||||
\(265\) | 16.9107 | 1.03882 | ||||||||
\(266\) | −3.25533 | −0.199597 | ||||||||
\(267\) | 19.5460 | 1.19620 | ||||||||
\(268\) | 9.56026 | 0.583986 | ||||||||
\(269\) | 9.31142 | 0.567727 | 0.283864 | − | 0.958865i | \(-0.408384\pi\) | ||||
0.283864 | + | 0.958865i | \(0.408384\pi\) | |||||||
\(270\) | −55.1668 | −3.35735 | ||||||||
\(271\) | −7.02734 | −0.426881 | −0.213440 | − | 0.976956i | \(-0.568467\pi\) | ||||
−0.213440 | + | 0.976956i | \(0.568467\pi\) | |||||||
\(272\) | 6.27732 | 0.380619 | ||||||||
\(273\) | −0.831611 | −0.0503314 | ||||||||
\(274\) | −7.48159 | −0.451980 | ||||||||
\(275\) | 34.4001 | 2.07440 | ||||||||
\(276\) | −22.9189 | −1.37956 | ||||||||
\(277\) | 16.6198 | 0.998587 | 0.499294 | − | 0.866433i | \(-0.333593\pi\) | ||||
0.499294 | + | 0.866433i | \(0.333593\pi\) | |||||||
\(278\) | −8.29124 | −0.497275 | ||||||||
\(279\) | 57.8535 | 3.46360 | ||||||||
\(280\) | −13.6484 | −0.815647 | ||||||||
\(281\) | 23.5129 | 1.40266 | 0.701332 | − | 0.712835i | \(-0.252589\pi\) | ||||
0.701332 | + | 0.712835i | \(0.252589\pi\) | |||||||
\(282\) | 16.5250 | 0.984051 | ||||||||
\(283\) | −3.62052 | −0.215217 | −0.107609 | − | 0.994193i | \(-0.534319\pi\) | ||||
−0.107609 | + | 0.994193i | \(0.534319\pi\) | |||||||
\(284\) | −11.2757 | −0.669087 | ||||||||
\(285\) | −13.3464 | −0.790573 | ||||||||
\(286\) | −0.219478 | −0.0129780 | ||||||||
\(287\) | 27.0995 | 1.59963 | ||||||||
\(288\) | 7.13346 | 0.420343 | ||||||||
\(289\) | 22.4048 | 1.31793 | ||||||||
\(290\) | 20.9954 | 1.23289 | ||||||||
\(291\) | −53.6997 | −3.14793 | ||||||||
\(292\) | 14.6029 | 0.854569 | ||||||||
\(293\) | −21.8893 | −1.27879 | −0.639395 | − | 0.768879i | \(-0.720815\pi\) | ||||
−0.639395 | + | 0.768879i | \(0.720815\pi\) | |||||||
\(294\) | −11.4510 | −0.667837 | ||||||||
\(295\) | 9.38363 | 0.546336 | ||||||||
\(296\) | −2.14709 | −0.124797 | ||||||||
\(297\) | −35.9863 | −2.08814 | ||||||||
\(298\) | 18.1912 | 1.05379 | ||||||||
\(299\) | −0.577778 | −0.0334137 | ||||||||
\(300\) | −40.0399 | −2.31171 | ||||||||
\(301\) | 5.97575 | 0.344437 | ||||||||
\(302\) | −9.58416 | −0.551506 | ||||||||
\(303\) | 28.3843 | 1.63064 | ||||||||
\(304\) | 1.00000 | 0.0573539 | ||||||||
\(305\) | −34.1092 | −1.95309 | ||||||||
\(306\) | 44.7790 | 2.55985 | ||||||||
\(307\) | −3.48408 | −0.198847 | −0.0994236 | − | 0.995045i | \(-0.531700\pi\) | ||||
−0.0994236 | + | 0.995045i | \(0.531700\pi\) | |||||||
\(308\) | −8.90308 | −0.507300 | ||||||||
\(309\) | 6.08340 | 0.346073 | ||||||||
\(310\) | 34.0029 | 1.93123 | ||||||||
\(311\) | −29.3947 | −1.66682 | −0.833410 | − | 0.552655i | \(-0.813615\pi\) | ||||
−0.833410 | + | 0.552655i | \(0.813615\pi\) | |||||||
\(312\) | 0.255461 | 0.0144626 | ||||||||
\(313\) | 24.7919 | 1.40132 | 0.700659 | − | 0.713496i | \(-0.252889\pi\) | ||||
0.700659 | + | 0.713496i | \(0.252889\pi\) | |||||||
\(314\) | −10.6000 | −0.598193 | ||||||||
\(315\) | −97.3602 | −5.48563 | ||||||||
\(316\) | −16.1807 | −0.910236 | ||||||||
\(317\) | −17.0015 | −0.954898 | −0.477449 | − | 0.878660i | \(-0.658438\pi\) | ||||
−0.477449 | + | 0.878660i | \(0.658438\pi\) | |||||||
\(318\) | −12.8397 | −0.720014 | ||||||||
\(319\) | 13.6957 | 0.766809 | ||||||||
\(320\) | 4.19262 | 0.234375 | ||||||||
\(321\) | −16.2030 | −0.904361 | ||||||||
\(322\) | −23.4375 | −1.30612 | ||||||||
\(323\) | 6.27732 | 0.349280 | ||||||||
\(324\) | 20.4858 | 1.13810 | ||||||||
\(325\) | −1.00939 | −0.0559911 | ||||||||
\(326\) | −10.7524 | −0.595519 | ||||||||
\(327\) | −9.59019 | −0.530339 | ||||||||
\(328\) | −8.32464 | −0.459651 | ||||||||
\(329\) | 16.8989 | 0.931668 | ||||||||
\(330\) | −36.5014 | −2.00934 | ||||||||
\(331\) | 18.4660 | 1.01499 | 0.507493 | − | 0.861656i | \(-0.330572\pi\) | ||||
0.507493 | + | 0.861656i | \(0.330572\pi\) | |||||||
\(332\) | 0.187647 | 0.0102985 | ||||||||
\(333\) | −15.3162 | −0.839321 | ||||||||
\(334\) | −12.8734 | −0.704402 | ||||||||
\(335\) | 40.0826 | 2.18995 | ||||||||
\(336\) | 10.3627 | 0.565334 | ||||||||
\(337\) | −10.9336 | −0.595589 | −0.297795 | − | 0.954630i | \(-0.596251\pi\) | ||||
−0.297795 | + | 0.954630i | \(0.596251\pi\) | |||||||
\(338\) | −12.9936 | −0.706756 | ||||||||
\(339\) | −49.5916 | −2.69345 | ||||||||
\(340\) | 26.3184 | 1.42732 | ||||||||
\(341\) | 22.1807 | 1.20115 | ||||||||
\(342\) | 7.13346 | 0.385733 | ||||||||
\(343\) | 11.0772 | 0.598115 | ||||||||
\(344\) | −1.83568 | −0.0989732 | ||||||||
\(345\) | −96.0903 | −5.17333 | ||||||||
\(346\) | −16.6802 | −0.896732 | ||||||||
\(347\) | 29.0472 | 1.55933 | 0.779667 | − | 0.626195i | \(-0.215388\pi\) | ||||
0.779667 | + | 0.626195i | \(0.215388\pi\) | |||||||
\(348\) | −15.9410 | −0.854530 | ||||||||
\(349\) | 4.58892 | 0.245640 | 0.122820 | − | 0.992429i | \(-0.460806\pi\) | ||||
0.122820 | + | 0.992429i | \(0.460806\pi\) | |||||||
\(350\) | −40.9459 | −2.18865 | ||||||||
\(351\) | 1.05594 | 0.0563618 | ||||||||
\(352\) | 2.73492 | 0.145772 | ||||||||
\(353\) | 26.3882 | 1.40450 | 0.702250 | − | 0.711930i | \(-0.252179\pi\) | ||||
0.702250 | + | 0.711930i | \(0.252179\pi\) | |||||||
\(354\) | −7.12465 | −0.378671 | ||||||||
\(355\) | −47.2746 | −2.50907 | ||||||||
\(356\) | −6.14015 | −0.325428 | ||||||||
\(357\) | 65.0503 | 3.44282 | ||||||||
\(358\) | 5.86458 | 0.309953 | ||||||||
\(359\) | 15.7431 | 0.830887 | 0.415444 | − | 0.909619i | \(-0.363626\pi\) | ||||
0.415444 | + | 0.909619i | \(0.363626\pi\) | |||||||
\(360\) | 29.9079 | 1.57628 | ||||||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −16.1501 | −0.848833 | ||||||||
\(363\) | 11.2059 | 0.588158 | ||||||||
\(364\) | 0.261241 | 0.0136928 | ||||||||
\(365\) | 61.2243 | 3.20463 | ||||||||
\(366\) | 25.8979 | 1.35371 | ||||||||
\(367\) | 23.7044 | 1.23736 | 0.618679 | − | 0.785644i | \(-0.287668\pi\) | ||||
0.618679 | + | 0.785644i | \(0.287668\pi\) | |||||||
\(368\) | 7.19971 | 0.375311 | ||||||||
\(369\) | −59.3834 | −3.09138 | ||||||||
\(370\) | −9.00193 | −0.467988 | ||||||||
\(371\) | −13.1302 | −0.681686 | ||||||||
\(372\) | −25.8172 | −1.33856 | ||||||||
\(373\) | −25.4986 | −1.32027 | −0.660133 | − | 0.751148i | \(-0.729500\pi\) | ||||
−0.660133 | + | 0.751148i | \(0.729500\pi\) | |||||||
\(374\) | 17.1680 | 0.887735 | ||||||||
\(375\) | −101.140 | −5.22286 | ||||||||
\(376\) | −5.19115 | −0.267713 | ||||||||
\(377\) | −0.401868 | −0.0206973 | ||||||||
\(378\) | 42.8339 | 2.20314 | ||||||||
\(379\) | −8.82584 | −0.453353 | −0.226676 | − | 0.973970i | \(-0.572786\pi\) | ||||
−0.226676 | + | 0.973970i | \(0.572786\pi\) | |||||||
\(380\) | 4.19262 | 0.215077 | ||||||||
\(381\) | −15.7261 | −0.805674 | ||||||||
\(382\) | 7.32475 | 0.374767 | ||||||||
\(383\) | −3.69767 | −0.188942 | −0.0944709 | − | 0.995528i | \(-0.530116\pi\) | ||||
−0.0944709 | + | 0.995528i | \(0.530116\pi\) | |||||||
\(384\) | −3.18331 | −0.162448 | ||||||||
\(385\) | −37.3273 | −1.90237 | ||||||||
\(386\) | −12.4506 | −0.633717 | ||||||||
\(387\) | −13.0947 | −0.665643 | ||||||||
\(388\) | 16.8692 | 0.856401 | ||||||||
\(389\) | 25.2395 | 1.27969 | 0.639847 | − | 0.768502i | \(-0.278998\pi\) | ||||
0.639847 | + | 0.768502i | \(0.278998\pi\) | |||||||
\(390\) | 1.07105 | 0.0542348 | ||||||||
\(391\) | 45.1949 | 2.28560 | ||||||||
\(392\) | 3.59720 | 0.181686 | ||||||||
\(393\) | 7.96278 | 0.401669 | ||||||||
\(394\) | −8.70333 | −0.438467 | ||||||||
\(395\) | −67.8396 | −3.41338 | ||||||||
\(396\) | 19.5094 | 0.980386 | ||||||||
\(397\) | 29.1297 | 1.46198 | 0.730990 | − | 0.682388i | \(-0.239059\pi\) | ||||
0.730990 | + | 0.682388i | \(0.239059\pi\) | |||||||
\(398\) | 3.37370 | 0.169108 | ||||||||
\(399\) | 10.3627 | 0.518786 | ||||||||
\(400\) | 12.5781 | 0.628904 | ||||||||
\(401\) | −14.9761 | −0.747872 | −0.373936 | − | 0.927455i | \(-0.621992\pi\) | ||||
−0.373936 | + | 0.927455i | \(0.621992\pi\) | |||||||
\(402\) | −30.4333 | −1.51787 | ||||||||
\(403\) | −0.650842 | −0.0324207 | ||||||||
\(404\) | −8.91662 | −0.443618 | ||||||||
\(405\) | 85.8894 | 4.26788 | ||||||||
\(406\) | −16.3017 | −0.809041 | ||||||||
\(407\) | −5.87212 | −0.291070 | ||||||||
\(408\) | −19.9827 | −0.989289 | ||||||||
\(409\) | −37.1151 | −1.83522 | −0.917611 | − | 0.397480i | \(-0.869885\pi\) | ||||
−0.917611 | + | 0.397480i | \(0.869885\pi\) | |||||||
\(410\) | −34.9021 | −1.72369 | ||||||||
\(411\) | 23.8162 | 1.17477 | ||||||||
\(412\) | −1.91103 | −0.0941498 | ||||||||
\(413\) | −7.28586 | −0.358513 | ||||||||
\(414\) | 51.3588 | 2.52415 | ||||||||
\(415\) | 0.786733 | 0.0386192 | ||||||||
\(416\) | −0.0802502 | −0.00393459 | ||||||||
\(417\) | 26.3936 | 1.29250 | ||||||||
\(418\) | 2.73492 | 0.133769 | ||||||||
\(419\) | −7.10982 | −0.347337 | −0.173669 | − | 0.984804i | \(-0.555562\pi\) | ||||
−0.173669 | + | 0.984804i | \(0.555562\pi\) | |||||||
\(420\) | 43.4470 | 2.12000 | ||||||||
\(421\) | −10.7837 | −0.525568 | −0.262784 | − | 0.964855i | \(-0.584641\pi\) | ||||
−0.262784 | + | 0.964855i | \(0.584641\pi\) | |||||||
\(422\) | 1.00000 | 0.0486792 | ||||||||
\(423\) | −37.0308 | −1.80050 | ||||||||
\(424\) | 4.03344 | 0.195881 | ||||||||
\(425\) | 78.9567 | 3.82996 | ||||||||
\(426\) | 35.8939 | 1.73907 | ||||||||
\(427\) | 26.4839 | 1.28164 | ||||||||
\(428\) | 5.08997 | 0.246033 | ||||||||
\(429\) | 0.698666 | 0.0337319 | ||||||||
\(430\) | −7.69631 | −0.371149 | ||||||||
\(431\) | −25.6930 | −1.23759 | −0.618795 | − | 0.785553i | \(-0.712379\pi\) | ||||
−0.618795 | + | 0.785553i | \(0.712379\pi\) | |||||||
\(432\) | −13.1581 | −0.633068 | ||||||||
\(433\) | 10.2487 | 0.492519 | 0.246260 | − | 0.969204i | \(-0.420798\pi\) | ||||
0.246260 | + | 0.969204i | \(0.420798\pi\) | |||||||
\(434\) | −26.4013 | −1.26730 | ||||||||
\(435\) | −66.8348 | −3.20448 | ||||||||
\(436\) | 3.01265 | 0.144280 | ||||||||
\(437\) | 7.19971 | 0.344409 | ||||||||
\(438\) | −46.4855 | −2.22116 | ||||||||
\(439\) | 13.7272 | 0.655165 | 0.327582 | − | 0.944823i | \(-0.393766\pi\) | ||||
0.327582 | + | 0.944823i | \(0.393766\pi\) | |||||||
\(440\) | 11.4665 | 0.546644 | ||||||||
\(441\) | 25.6605 | 1.22193 | ||||||||
\(442\) | −0.503756 | −0.0239612 | ||||||||
\(443\) | 38.6960 | 1.83850 | 0.919252 | − | 0.393670i | \(-0.128795\pi\) | ||||
0.919252 | + | 0.393670i | \(0.128795\pi\) | |||||||
\(444\) | 6.83485 | 0.324368 | ||||||||
\(445\) | −25.7434 | −1.22035 | ||||||||
\(446\) | −16.6419 | −0.788015 | ||||||||
\(447\) | −57.9083 | −2.73897 | ||||||||
\(448\) | −3.25533 | −0.153800 | ||||||||
\(449\) | 32.7741 | 1.54671 | 0.773353 | − | 0.633975i | \(-0.218578\pi\) | ||||
0.773353 | + | 0.633975i | \(0.218578\pi\) | |||||||
\(450\) | 89.7252 | 4.22969 | ||||||||
\(451\) | −22.7672 | −1.07207 | ||||||||
\(452\) | 15.5786 | 0.732757 | ||||||||
\(453\) | 30.5093 | 1.43345 | ||||||||
\(454\) | 16.9296 | 0.794546 | ||||||||
\(455\) | 1.09529 | 0.0513478 | ||||||||
\(456\) | −3.18331 | −0.149072 | ||||||||
\(457\) | −17.0309 | −0.796671 | −0.398336 | − | 0.917240i | \(-0.630412\pi\) | ||||
−0.398336 | + | 0.917240i | \(0.630412\pi\) | |||||||
\(458\) | 12.0050 | 0.560958 | ||||||||
\(459\) | −82.5975 | −3.85532 | ||||||||
\(460\) | 30.1857 | 1.40741 | ||||||||
\(461\) | 29.1873 | 1.35939 | 0.679694 | − | 0.733496i | \(-0.262113\pi\) | ||||
0.679694 | + | 0.733496i | \(0.262113\pi\) | |||||||
\(462\) | 28.3413 | 1.31856 | ||||||||
\(463\) | −26.4771 | −1.23050 | −0.615248 | − | 0.788333i | \(-0.710944\pi\) | ||||
−0.615248 | + | 0.788333i | \(0.710944\pi\) | |||||||
\(464\) | 5.00770 | 0.232476 | ||||||||
\(465\) | −108.242 | −5.01958 | ||||||||
\(466\) | 26.4162 | 1.22371 | ||||||||
\(467\) | 10.0890 | 0.466863 | 0.233431 | − | 0.972373i | \(-0.425005\pi\) | ||||
0.233431 | + | 0.972373i | \(0.425005\pi\) | |||||||
\(468\) | −0.572461 | −0.0264620 | ||||||||
\(469\) | −31.1219 | −1.43707 | ||||||||
\(470\) | −21.7645 | −1.00392 | ||||||||
\(471\) | 33.7431 | 1.55480 | ||||||||
\(472\) | 2.23813 | 0.103018 | ||||||||
\(473\) | −5.02044 | −0.230840 | ||||||||
\(474\) | 51.5082 | 2.36585 | ||||||||
\(475\) | 12.5781 | 0.577122 | ||||||||
\(476\) | −20.4348 | −0.936627 | ||||||||
\(477\) | 28.7724 | 1.31740 | ||||||||
\(478\) | −8.87463 | −0.405916 | ||||||||
\(479\) | 28.8990 | 1.32043 | 0.660215 | − | 0.751077i | \(-0.270465\pi\) | ||||
0.660215 | + | 0.751077i | \(0.270465\pi\) | |||||||
\(480\) | −13.3464 | −0.609178 | ||||||||
\(481\) | 0.172304 | 0.00785640 | ||||||||
\(482\) | −25.8003 | −1.17517 | ||||||||
\(483\) | 74.6087 | 3.39481 | ||||||||
\(484\) | −3.52021 | −0.160009 | ||||||||
\(485\) | 70.7260 | 3.21150 | ||||||||
\(486\) | −25.7386 | −1.16752 | ||||||||
\(487\) | 16.4153 | 0.743847 | 0.371923 | − | 0.928263i | \(-0.378698\pi\) | ||||
0.371923 | + | 0.928263i | \(0.378698\pi\) | |||||||
\(488\) | −8.13553 | −0.368278 | ||||||||
\(489\) | 34.2281 | 1.54785 | ||||||||
\(490\) | 15.0817 | 0.681323 | ||||||||
\(491\) | 39.1618 | 1.76735 | 0.883673 | − | 0.468105i | \(-0.155063\pi\) | ||||
0.883673 | + | 0.468105i | \(0.155063\pi\) | |||||||
\(492\) | 26.4999 | 1.19471 | ||||||||
\(493\) | 31.4349 | 1.41576 | ||||||||
\(494\) | −0.0802502 | −0.00361063 | ||||||||
\(495\) | 81.7957 | 3.67644 | ||||||||
\(496\) | 8.11016 | 0.364157 | ||||||||
\(497\) | 36.7060 | 1.64649 | ||||||||
\(498\) | −0.597338 | −0.0267674 | ||||||||
\(499\) | −30.6427 | −1.37176 | −0.685879 | − | 0.727716i | \(-0.740582\pi\) | ||||
−0.685879 | + | 0.727716i | \(0.740582\pi\) | |||||||
\(500\) | 31.7720 | 1.42089 | ||||||||
\(501\) | 40.9801 | 1.83085 | ||||||||
\(502\) | 15.2550 | 0.680863 | ||||||||
\(503\) | −18.0073 | −0.802906 | −0.401453 | − | 0.915880i | \(-0.631495\pi\) | ||||
−0.401453 | + | 0.915880i | \(0.631495\pi\) | |||||||
\(504\) | −23.2218 | −1.03438 | ||||||||
\(505\) | −37.3840 | −1.66357 | ||||||||
\(506\) | 19.6906 | 0.875355 | ||||||||
\(507\) | 41.3625 | 1.83697 | ||||||||
\(508\) | 4.94018 | 0.219185 | ||||||||
\(509\) | −31.9643 | −1.41679 | −0.708396 | − | 0.705815i | \(-0.750581\pi\) | ||||
−0.708396 | + | 0.705815i | \(0.750581\pi\) | |||||||
\(510\) | −83.7798 | −3.70983 | ||||||||
\(511\) | −47.5372 | −2.10292 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −13.1581 | −0.580943 | ||||||||
\(514\) | 9.48851 | 0.418520 | ||||||||
\(515\) | −8.01223 | −0.353061 | ||||||||
\(516\) | 5.84353 | 0.257247 | ||||||||
\(517\) | −14.1974 | −0.624400 | ||||||||
\(518\) | 6.98949 | 0.307101 | ||||||||
\(519\) | 53.0982 | 2.33075 | ||||||||
\(520\) | −0.336459 | −0.0147547 | ||||||||
\(521\) | −9.32473 | −0.408524 | −0.204262 | − | 0.978916i | \(-0.565479\pi\) | ||||
−0.204262 | + | 0.978916i | \(0.565479\pi\) | |||||||
\(522\) | 35.7222 | 1.56352 | ||||||||
\(523\) | 4.33459 | 0.189539 | 0.0947693 | − | 0.995499i | \(-0.469789\pi\) | ||||
0.0947693 | + | 0.995499i | \(0.469789\pi\) | |||||||
\(524\) | −2.50142 | −0.109275 | ||||||||
\(525\) | 130.343 | 5.68865 | ||||||||
\(526\) | −7.79152 | −0.339726 | ||||||||
\(527\) | 50.9101 | 2.21768 | ||||||||
\(528\) | −8.70610 | −0.378884 | ||||||||
\(529\) | 28.8358 | 1.25373 | ||||||||
\(530\) | 16.9107 | 0.734553 | ||||||||
\(531\) | 15.9656 | 0.692848 | ||||||||
\(532\) | −3.25533 | −0.141137 | ||||||||
\(533\) | 0.668053 | 0.0289366 | ||||||||
\(534\) | 19.5460 | 0.845839 | ||||||||
\(535\) | 21.3403 | 0.922624 | ||||||||
\(536\) | 9.56026 | 0.412941 | ||||||||
\(537\) | −18.6688 | −0.805617 | ||||||||
\(538\) | 9.31142 | 0.401444 | ||||||||
\(539\) | 9.83807 | 0.423756 | ||||||||
\(540\) | −55.1668 | −2.37400 | ||||||||
\(541\) | −33.0984 | −1.42301 | −0.711505 | − | 0.702681i | \(-0.751986\pi\) | ||||
−0.711505 | + | 0.702681i | \(0.751986\pi\) | |||||||
\(542\) | −7.02734 | −0.301850 | ||||||||
\(543\) | 51.4109 | 2.20625 | ||||||||
\(544\) | 6.27732 | 0.269138 | ||||||||
\(545\) | 12.6309 | 0.541048 | ||||||||
\(546\) | −0.831611 | −0.0355897 | ||||||||
\(547\) | −31.3055 | −1.33852 | −0.669262 | − | 0.743026i | \(-0.733390\pi\) | ||||
−0.669262 | + | 0.743026i | \(0.733390\pi\) | |||||||
\(548\) | −7.48159 | −0.319598 | ||||||||
\(549\) | −58.0345 | −2.47685 | ||||||||
\(550\) | 34.4001 | 1.46682 | ||||||||
\(551\) | 5.00770 | 0.213335 | ||||||||
\(552\) | −22.9189 | −0.975493 | ||||||||
\(553\) | 52.6736 | 2.23991 | ||||||||
\(554\) | 16.6198 | 0.706108 | ||||||||
\(555\) | 28.6559 | 1.21638 | ||||||||
\(556\) | −8.29124 | −0.351627 | ||||||||
\(557\) | −7.90195 | −0.334817 | −0.167408 | − | 0.985888i | \(-0.553540\pi\) | ||||
−0.167408 | + | 0.985888i | \(0.553540\pi\) | |||||||
\(558\) | 57.8535 | 2.44913 | ||||||||
\(559\) | 0.147314 | 0.00623070 | ||||||||
\(560\) | −13.6484 | −0.576750 | ||||||||
\(561\) | −54.6510 | −2.30737 | ||||||||
\(562\) | 23.5129 | 0.991834 | ||||||||
\(563\) | 36.2460 | 1.52759 | 0.763794 | − | 0.645460i | \(-0.223334\pi\) | ||||
0.763794 | + | 0.645460i | \(0.223334\pi\) | |||||||
\(564\) | 16.5250 | 0.695829 | ||||||||
\(565\) | 65.3153 | 2.74784 | ||||||||
\(566\) | −3.62052 | −0.152182 | ||||||||
\(567\) | −66.6883 | −2.80064 | ||||||||
\(568\) | −11.2757 | −0.473116 | ||||||||
\(569\) | −34.0957 | −1.42937 | −0.714683 | − | 0.699449i | \(-0.753429\pi\) | ||||
−0.714683 | + | 0.699449i | \(0.753429\pi\) | |||||||
\(570\) | −13.3464 | −0.559020 | ||||||||
\(571\) | −0.862828 | −0.0361082 | −0.0180541 | − | 0.999837i | \(-0.505747\pi\) | ||||
−0.0180541 | + | 0.999837i | \(0.505747\pi\) | |||||||
\(572\) | −0.219478 | −0.00917683 | ||||||||
\(573\) | −23.3169 | −0.974079 | ||||||||
\(574\) | 27.0995 | 1.13111 | ||||||||
\(575\) | 90.5585 | 3.77655 | ||||||||
\(576\) | 7.13346 | 0.297227 | ||||||||
\(577\) | 13.7947 | 0.574282 | 0.287141 | − | 0.957888i | \(-0.407295\pi\) | ||||
0.287141 | + | 0.957888i | \(0.407295\pi\) | |||||||
\(578\) | 22.4048 | 0.931917 | ||||||||
\(579\) | 39.6340 | 1.64713 | ||||||||
\(580\) | 20.9954 | 0.871786 | ||||||||
\(581\) | −0.610853 | −0.0253425 | ||||||||
\(582\) | −53.6997 | −2.22593 | ||||||||
\(583\) | 11.0311 | 0.456863 | ||||||||
\(584\) | 14.6029 | 0.604271 | ||||||||
\(585\) | −2.40011 | −0.0992325 | ||||||||
\(586\) | −21.8893 | −0.904240 | ||||||||
\(587\) | −35.2971 | −1.45687 | −0.728434 | − | 0.685116i | \(-0.759751\pi\) | ||||
−0.728434 | + | 0.685116i | \(0.759751\pi\) | |||||||
\(588\) | −11.4510 | −0.472232 | ||||||||
\(589\) | 8.11016 | 0.334173 | ||||||||
\(590\) | 9.38363 | 0.386318 | ||||||||
\(591\) | 27.7054 | 1.13965 | ||||||||
\(592\) | −2.14709 | −0.0882448 | ||||||||
\(593\) | −42.7033 | −1.75361 | −0.876807 | − | 0.480842i | \(-0.840331\pi\) | ||||
−0.876807 | + | 0.480842i | \(0.840331\pi\) | |||||||
\(594\) | −35.9863 | −1.47654 | ||||||||
\(595\) | −85.6754 | −3.51235 | ||||||||
\(596\) | 18.1912 | 0.745141 | ||||||||
\(597\) | −10.7395 | −0.439539 | ||||||||
\(598\) | −0.577778 | −0.0236271 | ||||||||
\(599\) | 15.8078 | 0.645889 | 0.322945 | − | 0.946418i | \(-0.395327\pi\) | ||||
0.322945 | + | 0.946418i | \(0.395327\pi\) | |||||||
\(600\) | −40.0399 | −1.63462 | ||||||||
\(601\) | −0.884434 | −0.0360768 | −0.0180384 | − | 0.999837i | \(-0.505742\pi\) | ||||
−0.0180384 | + | 0.999837i | \(0.505742\pi\) | |||||||
\(602\) | 5.97575 | 0.243553 | ||||||||
\(603\) | 68.1977 | 2.77723 | ||||||||
\(604\) | −9.58416 | −0.389974 | ||||||||
\(605\) | −14.7589 | −0.600035 | ||||||||
\(606\) | 28.3843 | 1.15304 | ||||||||
\(607\) | −3.17519 | −0.128877 | −0.0644385 | − | 0.997922i | \(-0.520526\pi\) | ||||
−0.0644385 | + | 0.997922i | \(0.520526\pi\) | |||||||
\(608\) | 1.00000 | 0.0405554 | ||||||||
\(609\) | 51.8934 | 2.10283 | ||||||||
\(610\) | −34.1092 | −1.38104 | ||||||||
\(611\) | 0.416591 | 0.0168535 | ||||||||
\(612\) | 44.7790 | 1.81008 | ||||||||
\(613\) | 38.1141 | 1.53941 | 0.769707 | − | 0.638398i | \(-0.220402\pi\) | ||||
0.769707 | + | 0.638398i | \(0.220402\pi\) | |||||||
\(614\) | −3.48408 | −0.140606 | ||||||||
\(615\) | 111.104 | 4.48015 | ||||||||
\(616\) | −8.90308 | −0.358715 | ||||||||
\(617\) | 14.9849 | 0.603271 | 0.301636 | − | 0.953423i | \(-0.402467\pi\) | ||||
0.301636 | + | 0.953423i | \(0.402467\pi\) | |||||||
\(618\) | 6.08340 | 0.244710 | ||||||||
\(619\) | −16.0629 | −0.645622 | −0.322811 | − | 0.946463i | \(-0.604628\pi\) | ||||
−0.322811 | + | 0.946463i | \(0.604628\pi\) | |||||||
\(620\) | 34.0029 | 1.36559 | ||||||||
\(621\) | −94.7343 | −3.80156 | ||||||||
\(622\) | −29.3947 | −1.17862 | ||||||||
\(623\) | 19.9883 | 0.800813 | ||||||||
\(624\) | 0.255461 | 0.0102266 | ||||||||
\(625\) | 70.3178 | 2.81271 | ||||||||
\(626\) | 24.7919 | 0.990882 | ||||||||
\(627\) | −8.70610 | −0.347688 | ||||||||
\(628\) | −10.6000 | −0.422986 | ||||||||
\(629\) | −13.4780 | −0.537402 | ||||||||
\(630\) | −97.3602 | −3.87892 | ||||||||
\(631\) | −18.2539 | −0.726678 | −0.363339 | − | 0.931657i | \(-0.618363\pi\) | ||||
−0.363339 | + | 0.931657i | \(0.618363\pi\) | |||||||
\(632\) | −16.1807 | −0.643634 | ||||||||
\(633\) | −3.18331 | −0.126525 | ||||||||
\(634\) | −17.0015 | −0.675215 | ||||||||
\(635\) | 20.7123 | 0.821943 | ||||||||
\(636\) | −12.8397 | −0.509127 | ||||||||
\(637\) | −0.288676 | −0.0114378 | ||||||||
\(638\) | 13.6957 | 0.542216 | ||||||||
\(639\) | −80.4344 | −3.18194 | ||||||||
\(640\) | 4.19262 | 0.165728 | ||||||||
\(641\) | 27.9599 | 1.10435 | 0.552175 | − | 0.833728i | \(-0.313798\pi\) | ||||
0.552175 | + | 0.833728i | \(0.313798\pi\) | |||||||
\(642\) | −16.2030 | −0.639480 | ||||||||
\(643\) | 23.2147 | 0.915500 | 0.457750 | − | 0.889081i | \(-0.348655\pi\) | ||||
0.457750 | + | 0.889081i | \(0.348655\pi\) | |||||||
\(644\) | −23.4375 | −0.923565 | ||||||||
\(645\) | 24.4997 | 0.964676 | ||||||||
\(646\) | 6.27732 | 0.246978 | ||||||||
\(647\) | −9.93842 | −0.390720 | −0.195360 | − | 0.980732i | \(-0.562587\pi\) | ||||
−0.195360 | + | 0.980732i | \(0.562587\pi\) | |||||||
\(648\) | 20.4858 | 0.804760 | ||||||||
\(649\) | 6.12110 | 0.240274 | ||||||||
\(650\) | −1.00939 | −0.0395917 | ||||||||
\(651\) | 84.0435 | 3.29392 | ||||||||
\(652\) | −10.7524 | −0.421095 | ||||||||
\(653\) | −27.2956 | −1.06816 | −0.534079 | − | 0.845434i | \(-0.679342\pi\) | ||||
−0.534079 | + | 0.845434i | \(0.679342\pi\) | |||||||
\(654\) | −9.59019 | −0.375006 | ||||||||
\(655\) | −10.4875 | −0.409780 | ||||||||
\(656\) | −8.32464 | −0.325022 | ||||||||
\(657\) | 104.169 | 4.06402 | ||||||||
\(658\) | 16.8989 | 0.658789 | ||||||||
\(659\) | 38.0242 | 1.48121 | 0.740606 | − | 0.671940i | \(-0.234539\pi\) | ||||
0.740606 | + | 0.671940i | \(0.234539\pi\) | |||||||
\(660\) | −36.5014 | −1.42081 | ||||||||
\(661\) | 23.3898 | 0.909757 | 0.454879 | − | 0.890553i | \(-0.349683\pi\) | ||||
0.454879 | + | 0.890553i | \(0.349683\pi\) | |||||||
\(662\) | 18.4660 | 0.717703 | ||||||||
\(663\) | 1.60361 | 0.0622791 | ||||||||
\(664\) | 0.187647 | 0.00728211 | ||||||||
\(665\) | −13.6484 | −0.529262 | ||||||||
\(666\) | −15.3162 | −0.593490 | ||||||||
\(667\) | 36.0539 | 1.39601 | ||||||||
\(668\) | −12.8734 | −0.498087 | ||||||||
\(669\) | 52.9762 | 2.04818 | ||||||||
\(670\) | 40.0826 | 1.54853 | ||||||||
\(671\) | −22.2500 | −0.858953 | ||||||||
\(672\) | 10.3627 | 0.399751 | ||||||||
\(673\) | 12.8414 | 0.495001 | 0.247500 | − | 0.968888i | \(-0.420391\pi\) | ||||
0.247500 | + | 0.968888i | \(0.420391\pi\) | |||||||
\(674\) | −10.9336 | −0.421145 | ||||||||
\(675\) | −165.503 | −6.37023 | ||||||||
\(676\) | −12.9936 | −0.499752 | ||||||||
\(677\) | −17.2092 | −0.661403 | −0.330701 | − | 0.943735i | \(-0.607285\pi\) | ||||
−0.330701 | + | 0.943735i | \(0.607285\pi\) | |||||||
\(678\) | −49.5916 | −1.90455 | ||||||||
\(679\) | −54.9147 | −2.10743 | ||||||||
\(680\) | 26.3184 | 1.00927 | ||||||||
\(681\) | −53.8922 | −2.06515 | ||||||||
\(682\) | 22.1807 | 0.849341 | ||||||||
\(683\) | −5.33621 | −0.204185 | −0.102092 | − | 0.994775i | \(-0.532554\pi\) | ||||
−0.102092 | + | 0.994775i | \(0.532554\pi\) | |||||||
\(684\) | 7.13346 | 0.272755 | ||||||||
\(685\) | −31.3675 | −1.19849 | ||||||||
\(686\) | 11.0772 | 0.422931 | ||||||||
\(687\) | −38.2157 | −1.45802 | ||||||||
\(688\) | −1.83568 | −0.0699846 | ||||||||
\(689\) | −0.323684 | −0.0123314 | ||||||||
\(690\) | −96.0903 | −3.65809 | ||||||||
\(691\) | 2.06385 | 0.0785126 | 0.0392563 | − | 0.999229i | \(-0.487501\pi\) | ||||
0.0392563 | + | 0.999229i | \(0.487501\pi\) | |||||||
\(692\) | −16.6802 | −0.634086 | ||||||||
\(693\) | −63.5098 | −2.41254 | ||||||||
\(694\) | 29.0472 | 1.10262 | ||||||||
\(695\) | −34.7620 | −1.31860 | ||||||||
\(696\) | −15.9410 | −0.604244 | ||||||||
\(697\) | −52.2564 | −1.97935 | ||||||||
\(698\) | 4.58892 | 0.173693 | ||||||||
\(699\) | −84.0911 | −3.18062 | ||||||||
\(700\) | −40.9459 | −1.54761 | ||||||||
\(701\) | 20.3479 | 0.768529 | 0.384265 | − | 0.923223i | \(-0.374455\pi\) | ||||
0.384265 | + | 0.923223i | \(0.374455\pi\) | |||||||
\(702\) | 1.05594 | 0.0398538 | ||||||||
\(703\) | −2.14709 | −0.0809790 | ||||||||
\(704\) | 2.73492 | 0.103076 | ||||||||
\(705\) | 69.2832 | 2.60936 | ||||||||
\(706\) | 26.3882 | 0.993132 | ||||||||
\(707\) | 29.0266 | 1.09166 | ||||||||
\(708\) | −7.12465 | −0.267761 | ||||||||
\(709\) | −47.3214 | −1.77719 | −0.888595 | − | 0.458692i | \(-0.848318\pi\) | ||||
−0.888595 | + | 0.458692i | \(0.848318\pi\) | |||||||
\(710\) | −47.2746 | −1.77418 | ||||||||
\(711\) | −115.424 | −4.32875 | ||||||||
\(712\) | −6.14015 | −0.230112 | ||||||||
\(713\) | 58.3908 | 2.18675 | ||||||||
\(714\) | 65.0503 | 2.43444 | ||||||||
\(715\) | −0.920188 | −0.0344131 | ||||||||
\(716\) | 5.86458 | 0.219170 | ||||||||
\(717\) | 28.2507 | 1.05504 | ||||||||
\(718\) | 15.7431 | 0.587526 | ||||||||
\(719\) | −18.1144 | −0.675553 | −0.337777 | − | 0.941226i | \(-0.609675\pi\) | ||||
−0.337777 | + | 0.941226i | \(0.609675\pi\) | |||||||
\(720\) | 29.9079 | 1.11460 | ||||||||
\(721\) | 6.22105 | 0.231684 | ||||||||
\(722\) | 1.00000 | 0.0372161 | ||||||||
\(723\) | 82.1304 | 3.05446 | ||||||||
\(724\) | −16.1501 | −0.600215 | ||||||||
\(725\) | 62.9872 | 2.33929 | ||||||||
\(726\) | 11.2059 | 0.415890 | ||||||||
\(727\) | 29.2594 | 1.08517 | 0.542585 | − | 0.840001i | \(-0.317446\pi\) | ||||
0.542585 | + | 0.840001i | \(0.317446\pi\) | |||||||
\(728\) | 0.261241 | 0.00968224 | ||||||||
\(729\) | 20.4763 | 0.758380 | ||||||||
\(730\) | 61.2243 | 2.26601 | ||||||||
\(731\) | −11.5232 | −0.426199 | ||||||||
\(732\) | 25.8979 | 0.957215 | ||||||||
\(733\) | −10.3405 | −0.381936 | −0.190968 | − | 0.981596i | \(-0.561163\pi\) | ||||
−0.190968 | + | 0.981596i | \(0.561163\pi\) | |||||||
\(734\) | 23.7044 | 0.874944 | ||||||||
\(735\) | −48.0098 | −1.77087 | ||||||||
\(736\) | 7.19971 | 0.265385 | ||||||||
\(737\) | 26.1466 | 0.963121 | ||||||||
\(738\) | −59.3834 | −2.18593 | ||||||||
\(739\) | −2.75158 | −0.101219 | −0.0506093 | − | 0.998719i | \(-0.516116\pi\) | ||||
−0.0506093 | + | 0.998719i | \(0.516116\pi\) | |||||||
\(740\) | −9.00193 | −0.330918 | ||||||||
\(741\) | 0.255461 | 0.00938460 | ||||||||
\(742\) | −13.1302 | −0.482025 | ||||||||
\(743\) | 15.0850 | 0.553414 | 0.276707 | − | 0.960954i | \(-0.410757\pi\) | ||||
0.276707 | + | 0.960954i | \(0.410757\pi\) | |||||||
\(744\) | −25.8172 | −0.946503 | ||||||||
\(745\) | 76.2689 | 2.79428 | ||||||||
\(746\) | −25.4986 | −0.933570 | ||||||||
\(747\) | 1.33857 | 0.0489758 | ||||||||
\(748\) | 17.1680 | 0.627724 | ||||||||
\(749\) | −16.5696 | −0.605439 | ||||||||
\(750\) | −101.140 | −3.69312 | ||||||||
\(751\) | 26.9716 | 0.984207 | 0.492103 | − | 0.870537i | \(-0.336228\pi\) | ||||
0.492103 | + | 0.870537i | \(0.336228\pi\) | |||||||
\(752\) | −5.19115 | −0.189302 | ||||||||
\(753\) | −48.5613 | −1.76967 | ||||||||
\(754\) | −0.401868 | −0.0146352 | ||||||||
\(755\) | −40.1828 | −1.46240 | ||||||||
\(756\) | 42.8339 | 1.55786 | ||||||||
\(757\) | −36.5567 | −1.32867 | −0.664337 | − | 0.747433i | \(-0.731286\pi\) | ||||
−0.664337 | + | 0.747433i | \(0.731286\pi\) | |||||||
\(758\) | −8.82584 | −0.320569 | ||||||||
\(759\) | −62.6814 | −2.27519 | ||||||||
\(760\) | 4.19262 | 0.152082 | ||||||||
\(761\) | −13.9314 | −0.505011 | −0.252506 | − | 0.967595i | \(-0.581255\pi\) | ||||
−0.252506 | + | 0.967595i | \(0.581255\pi\) | |||||||
\(762\) | −15.7261 | −0.569697 | ||||||||
\(763\) | −9.80718 | −0.355044 | ||||||||
\(764\) | 7.32475 | 0.265000 | ||||||||
\(765\) | 187.742 | 6.78781 | ||||||||
\(766\) | −3.69767 | −0.133602 | ||||||||
\(767\) | −0.179610 | −0.00648535 | ||||||||
\(768\) | −3.18331 | −0.114868 | ||||||||
\(769\) | 3.73616 | 0.134729 | 0.0673647 | − | 0.997728i | \(-0.478541\pi\) | ||||
0.0673647 | + | 0.997728i | \(0.478541\pi\) | |||||||
\(770\) | −37.3273 | −1.34518 | ||||||||
\(771\) | −30.2049 | −1.08780 | ||||||||
\(772\) | −12.4506 | −0.448105 | ||||||||
\(773\) | −42.3879 | −1.52459 | −0.762294 | − | 0.647231i | \(-0.775927\pi\) | ||||
−0.762294 | + | 0.647231i | \(0.775927\pi\) | |||||||
\(774\) | −13.0947 | −0.470681 | ||||||||
\(775\) | 102.010 | 3.66432 | ||||||||
\(776\) | 16.8692 | 0.605567 | ||||||||
\(777\) | −22.2497 | −0.798204 | ||||||||
\(778\) | 25.2395 | 0.904880 | ||||||||
\(779\) | −8.32464 | −0.298261 | ||||||||
\(780\) | 1.07105 | 0.0383498 | ||||||||
\(781\) | −30.8380 | −1.10347 | ||||||||
\(782\) | 45.1949 | 1.61617 | ||||||||
\(783\) | −65.8916 | −2.35478 | ||||||||
\(784\) | 3.59720 | 0.128472 | ||||||||
\(785\) | −44.4418 | −1.58620 | ||||||||
\(786\) | 7.96278 | 0.284023 | ||||||||
\(787\) | −7.55044 | −0.269144 | −0.134572 | − | 0.990904i | \(-0.542966\pi\) | ||||
−0.134572 | + | 0.990904i | \(0.542966\pi\) | |||||||
\(788\) | −8.70333 | −0.310043 | ||||||||
\(789\) | 24.8028 | 0.883004 | ||||||||
\(790\) | −67.8396 | −2.41363 | ||||||||
\(791\) | −50.7137 | −1.80317 | ||||||||
\(792\) | 19.5094 | 0.693238 | ||||||||
\(793\) | 0.652878 | 0.0231844 | ||||||||
\(794\) | 29.1297 | 1.03378 | ||||||||
\(795\) | −53.8319 | −1.90922 | ||||||||
\(796\) | 3.37370 | 0.119577 | ||||||||
\(797\) | −15.7873 | −0.559216 | −0.279608 | − | 0.960114i | \(-0.590204\pi\) | ||||
−0.279608 | + | 0.960114i | \(0.590204\pi\) | |||||||
\(798\) | 10.3627 | 0.366837 | ||||||||
\(799\) | −32.5865 | −1.15283 | ||||||||
\(800\) | 12.5781 | 0.444702 | ||||||||
\(801\) | −43.8005 | −1.54762 | ||||||||
\(802\) | −14.9761 | −0.528825 | ||||||||
\(803\) | 39.9377 | 1.40937 | ||||||||
\(804\) | −30.4333 | −1.07330 | ||||||||
\(805\) | −98.2644 | −3.46336 | ||||||||
\(806\) | −0.650842 | −0.0229249 | ||||||||
\(807\) | −29.6411 | −1.04342 | ||||||||
\(808\) | −8.91662 | −0.313685 | ||||||||
\(809\) | −28.7958 | −1.01241 | −0.506203 | − | 0.862414i | \(-0.668951\pi\) | ||||
−0.506203 | + | 0.862414i | \(0.668951\pi\) | |||||||
\(810\) | 85.8894 | 3.01785 | ||||||||
\(811\) | −46.9791 | −1.64966 | −0.824830 | − | 0.565380i | \(-0.808729\pi\) | ||||
−0.824830 | + | 0.565380i | \(0.808729\pi\) | |||||||
\(812\) | −16.3017 | −0.572079 | ||||||||
\(813\) | 22.3702 | 0.784557 | ||||||||
\(814\) | −5.87212 | −0.205818 | ||||||||
\(815\) | −45.0806 | −1.57911 | ||||||||
\(816\) | −19.9827 | −0.699533 | ||||||||
\(817\) | −1.83568 | −0.0642223 | ||||||||
\(818\) | −37.1151 | −1.29770 | ||||||||
\(819\) | 1.86355 | 0.0651178 | ||||||||
\(820\) | −34.9021 | −1.21883 | ||||||||
\(821\) | 1.63843 | 0.0571815 | 0.0285908 | − | 0.999591i | \(-0.490898\pi\) | ||||
0.0285908 | + | 0.999591i | \(0.490898\pi\) | |||||||
\(822\) | 23.8162 | 0.830686 | ||||||||
\(823\) | 51.1330 | 1.78238 | 0.891192 | − | 0.453626i | \(-0.149870\pi\) | ||||
0.891192 | + | 0.453626i | \(0.149870\pi\) | |||||||
\(824\) | −1.91103 | −0.0665739 | ||||||||
\(825\) | −109.506 | −3.81251 | ||||||||
\(826\) | −7.28586 | −0.253507 | ||||||||
\(827\) | 47.2225 | 1.64209 | 0.821044 | − | 0.570864i | \(-0.193392\pi\) | ||||
0.821044 | + | 0.570864i | \(0.193392\pi\) | |||||||
\(828\) | 51.3588 | 1.78484 | ||||||||
\(829\) | −12.7314 | −0.442179 | −0.221089 | − | 0.975254i | \(-0.570961\pi\) | ||||
−0.221089 | + | 0.975254i | \(0.570961\pi\) | |||||||
\(830\) | 0.786733 | 0.0273079 | ||||||||
\(831\) | −52.9060 | −1.83529 | ||||||||
\(832\) | −0.0802502 | −0.00278217 | ||||||||
\(833\) | 22.5808 | 0.782379 | ||||||||
\(834\) | 26.3936 | 0.913935 | ||||||||
\(835\) | −53.9734 | −1.86783 | ||||||||
\(836\) | 2.73492 | 0.0945892 | ||||||||
\(837\) | −106.714 | −3.68858 | ||||||||
\(838\) | −7.10982 | −0.245605 | ||||||||
\(839\) | 16.8141 | 0.580489 | 0.290244 | − | 0.956953i | \(-0.406263\pi\) | ||||
0.290244 | + | 0.956953i | \(0.406263\pi\) | |||||||
\(840\) | 43.4470 | 1.49907 | ||||||||
\(841\) | −3.92297 | −0.135275 | ||||||||
\(842\) | −10.7837 | −0.371632 | ||||||||
\(843\) | −74.8490 | −2.57794 | ||||||||
\(844\) | 1.00000 | 0.0344214 | ||||||||
\(845\) | −54.4771 | −1.87407 | ||||||||
\(846\) | −37.0308 | −1.27315 | ||||||||
\(847\) | 11.4595 | 0.393751 | ||||||||
\(848\) | 4.03344 | 0.138509 | ||||||||
\(849\) | 11.5252 | 0.395545 | ||||||||
\(850\) | 78.9567 | 2.70819 | ||||||||
\(851\) | −15.4584 | −0.529908 | ||||||||
\(852\) | 35.8939 | 1.22970 | ||||||||
\(853\) | 16.3062 | 0.558314 | 0.279157 | − | 0.960246i | \(-0.409945\pi\) | ||||
0.279157 | + | 0.960246i | \(0.409945\pi\) | |||||||
\(854\) | 26.4839 | 0.906260 | ||||||||
\(855\) | 29.9079 | 1.02283 | ||||||||
\(856\) | 5.08997 | 0.173972 | ||||||||
\(857\) | 54.9625 | 1.87748 | 0.938741 | − | 0.344624i | \(-0.111994\pi\) | ||||
0.938741 | + | 0.344624i | \(0.111994\pi\) | |||||||
\(858\) | 0.698666 | 0.0238521 | ||||||||
\(859\) | −12.2688 | −0.418605 | −0.209302 | − | 0.977851i | \(-0.567119\pi\) | ||||
−0.209302 | + | 0.977851i | \(0.567119\pi\) | |||||||
\(860\) | −7.69631 | −0.262442 | ||||||||
\(861\) | −86.2660 | −2.93994 | ||||||||
\(862\) | −25.6930 | −0.875108 | ||||||||
\(863\) | −0.184328 | −0.00627460 | −0.00313730 | − | 0.999995i | \(-0.500999\pi\) | ||||
−0.00313730 | + | 0.999995i | \(0.500999\pi\) | |||||||
\(864\) | −13.1581 | −0.447647 | ||||||||
\(865\) | −69.9337 | −2.37782 | ||||||||
\(866\) | 10.2487 | 0.348264 | ||||||||
\(867\) | −71.3214 | −2.42220 | ||||||||
\(868\) | −26.4013 | −0.896118 | ||||||||
\(869\) | −44.2530 | −1.50118 | ||||||||
\(870\) | −66.8348 | −2.26591 | ||||||||
\(871\) | −0.767213 | −0.0259960 | ||||||||
\(872\) | 3.01265 | 0.102021 | ||||||||
\(873\) | 120.335 | 4.07274 | ||||||||
\(874\) | 7.19971 | 0.243534 | ||||||||
\(875\) | −103.429 | −3.49653 | ||||||||
\(876\) | −46.4855 | −1.57060 | ||||||||
\(877\) | 22.8180 | 0.770510 | 0.385255 | − | 0.922810i | \(-0.374113\pi\) | ||||
0.385255 | + | 0.922810i | \(0.374113\pi\) | |||||||
\(878\) | 13.7272 | 0.463271 | ||||||||
\(879\) | 69.6805 | 2.35027 | ||||||||
\(880\) | 11.4665 | 0.386535 | ||||||||
\(881\) | 14.7740 | 0.497747 | 0.248874 | − | 0.968536i | \(-0.419940\pi\) | ||||
0.248874 | + | 0.968536i | \(0.419940\pi\) | |||||||
\(882\) | 25.6605 | 0.864034 | ||||||||
\(883\) | −54.6426 | −1.83887 | −0.919436 | − | 0.393240i | \(-0.871354\pi\) | ||||
−0.919436 | + | 0.393240i | \(0.871354\pi\) | |||||||
\(884\) | −0.503756 | −0.0169432 | ||||||||
\(885\) | −29.8710 | −1.00410 | ||||||||
\(886\) | 38.6960 | 1.30002 | ||||||||
\(887\) | −55.3480 | −1.85841 | −0.929203 | − | 0.369571i | \(-0.879505\pi\) | ||||
−0.929203 | + | 0.369571i | \(0.879505\pi\) | |||||||
\(888\) | 6.83485 | 0.229363 | ||||||||
\(889\) | −16.0819 | −0.539371 | ||||||||
\(890\) | −25.7434 | −0.862919 | ||||||||
\(891\) | 56.0272 | 1.87698 | ||||||||
\(892\) | −16.6419 | −0.557211 | ||||||||
\(893\) | −5.19115 | −0.173715 | ||||||||
\(894\) | −57.9083 | −1.93674 | ||||||||
\(895\) | 24.5880 | 0.821885 | ||||||||
\(896\) | −3.25533 | −0.108753 | ||||||||
\(897\) | 1.83924 | 0.0614106 | ||||||||
\(898\) | 32.7741 | 1.09369 | ||||||||
\(899\) | 40.6132 | 1.35453 | ||||||||
\(900\) | 89.7252 | 2.99084 | ||||||||
\(901\) | 25.3192 | 0.843505 | ||||||||
\(902\) | −22.7672 | −0.758066 | ||||||||
\(903\) | −19.0227 | −0.633035 | ||||||||
\(904\) | 15.5786 | 0.518138 | ||||||||
\(905\) | −67.7114 | −2.25080 | ||||||||
\(906\) | 30.5093 | 1.01360 | ||||||||
\(907\) | 14.7928 | 0.491186 | 0.245593 | − | 0.969373i | \(-0.421017\pi\) | ||||
0.245593 | + | 0.969373i | \(0.421017\pi\) | |||||||
\(908\) | 16.9296 | 0.561829 | ||||||||
\(909\) | −63.6063 | −2.10969 | ||||||||
\(910\) | 1.09529 | 0.0363084 | ||||||||
\(911\) | 24.9019 | 0.825037 | 0.412519 | − | 0.910949i | \(-0.364649\pi\) | ||||
0.412519 | + | 0.910949i | \(0.364649\pi\) | |||||||
\(912\) | −3.18331 | −0.105410 | ||||||||
\(913\) | 0.513199 | 0.0169844 | ||||||||
\(914\) | −17.0309 | −0.563332 | ||||||||
\(915\) | 108.580 | 3.58955 | ||||||||
\(916\) | 12.0050 | 0.396657 | ||||||||
\(917\) | 8.14294 | 0.268904 | ||||||||
\(918\) | −82.5975 | −2.72612 | ||||||||
\(919\) | 24.2850 | 0.801089 | 0.400545 | − | 0.916277i | \(-0.368821\pi\) | ||||
0.400545 | + | 0.916277i | \(0.368821\pi\) | |||||||
\(920\) | 30.1857 | 0.995191 | ||||||||
\(921\) | 11.0909 | 0.365458 | ||||||||
\(922\) | 29.1873 | 0.961232 | ||||||||
\(923\) | 0.904873 | 0.0297843 | ||||||||
\(924\) | 28.3413 | 0.932359 | ||||||||
\(925\) | −27.0063 | −0.887961 | ||||||||
\(926\) | −26.4771 | −0.870092 | ||||||||
\(927\) | −13.6323 | −0.447742 | ||||||||
\(928\) | 5.00770 | 0.164386 | ||||||||
\(929\) | −25.0883 | −0.823120 | −0.411560 | − | 0.911383i | \(-0.635016\pi\) | ||||
−0.411560 | + | 0.911383i | \(0.635016\pi\) | |||||||
\(930\) | −108.242 | −3.54938 | ||||||||
\(931\) | 3.59720 | 0.117894 | ||||||||
\(932\) | 26.4162 | 0.865293 | ||||||||
\(933\) | 93.5724 | 3.06342 | ||||||||
\(934\) | 10.0890 | 0.330122 | ||||||||
\(935\) | 71.9789 | 2.35396 | ||||||||
\(936\) | −0.572461 | −0.0187115 | ||||||||
\(937\) | −47.9762 | −1.56731 | −0.783656 | − | 0.621194i | \(-0.786648\pi\) | ||||
−0.783656 | + | 0.621194i | \(0.786648\pi\) | |||||||
\(938\) | −31.1219 | −1.01616 | ||||||||
\(939\) | −78.9202 | −2.57546 | ||||||||
\(940\) | −21.7645 | −0.709881 | ||||||||
\(941\) | −25.8127 | −0.841469 | −0.420734 | − | 0.907184i | \(-0.638228\pi\) | ||||
−0.420734 | + | 0.907184i | \(0.638228\pi\) | |||||||
\(942\) | 33.7431 | 1.09941 | ||||||||
\(943\) | −59.9349 | −1.95175 | ||||||||
\(944\) | 2.23813 | 0.0728449 | ||||||||
\(945\) | 179.587 | 5.84195 | ||||||||
\(946\) | −5.02044 | −0.163229 | ||||||||
\(947\) | 8.58591 | 0.279005 | 0.139502 | − | 0.990222i | \(-0.455450\pi\) | ||||
0.139502 | + | 0.990222i | \(0.455450\pi\) | |||||||
\(948\) | 51.5082 | 1.67291 | ||||||||
\(949\) | −1.17188 | −0.0380409 | ||||||||
\(950\) | 12.5781 | 0.408087 | ||||||||
\(951\) | 54.1209 | 1.75499 | ||||||||
\(952\) | −20.4348 | −0.662295 | ||||||||
\(953\) | 39.9878 | 1.29533 | 0.647666 | − | 0.761924i | \(-0.275745\pi\) | ||||
0.647666 | + | 0.761924i | \(0.275745\pi\) | |||||||
\(954\) | 28.7724 | 0.931540 | ||||||||
\(955\) | 30.7099 | 0.993749 | ||||||||
\(956\) | −8.87463 | −0.287026 | ||||||||
\(957\) | −43.5975 | −1.40931 | ||||||||
\(958\) | 28.8990 | 0.933685 | ||||||||
\(959\) | 24.3551 | 0.786467 | ||||||||
\(960\) | −13.3464 | −0.430754 | ||||||||
\(961\) | 34.7748 | 1.12177 | ||||||||
\(962\) | 0.172304 | 0.00555531 | ||||||||
\(963\) | 36.3091 | 1.17005 | ||||||||
\(964\) | −25.8003 | −0.830973 | ||||||||
\(965\) | −52.2005 | −1.68039 | ||||||||
\(966\) | 74.6087 | 2.40049 | ||||||||
\(967\) | 33.0845 | 1.06393 | 0.531963 | − | 0.846767i | \(-0.321454\pi\) | ||||
0.531963 | + | 0.846767i | \(0.321454\pi\) | |||||||
\(968\) | −3.52021 | −0.113144 | ||||||||
\(969\) | −19.9827 | −0.641936 | ||||||||
\(970\) | 70.7260 | 2.27087 | ||||||||
\(971\) | −8.12573 | −0.260767 | −0.130384 | − | 0.991464i | \(-0.541621\pi\) | ||||
−0.130384 | + | 0.991464i | \(0.541621\pi\) | |||||||
\(972\) | −25.7386 | −0.825565 | ||||||||
\(973\) | 26.9908 | 0.865284 | ||||||||
\(974\) | 16.4153 | 0.525979 | ||||||||
\(975\) | 3.21321 | 0.102905 | ||||||||
\(976\) | −8.13553 | −0.260412 | ||||||||
\(977\) | −11.2374 | −0.359516 | −0.179758 | − | 0.983711i | \(-0.557531\pi\) | ||||
−0.179758 | + | 0.983711i | \(0.557531\pi\) | |||||||
\(978\) | 34.2281 | 1.09449 | ||||||||
\(979\) | −16.7928 | −0.536701 | ||||||||
\(980\) | 15.0817 | 0.481768 | ||||||||
\(981\) | 21.4906 | 0.686142 | ||||||||
\(982\) | 39.1618 | 1.24970 | ||||||||
\(983\) | 35.2013 | 1.12275 | 0.561373 | − | 0.827563i | \(-0.310273\pi\) | ||||
0.561373 | + | 0.827563i | \(0.310273\pi\) | |||||||
\(984\) | 26.4999 | 0.844786 | ||||||||
\(985\) | −36.4898 | −1.16266 | ||||||||
\(986\) | 31.4349 | 1.00109 | ||||||||
\(987\) | −53.7945 | −1.71230 | ||||||||
\(988\) | −0.0802502 | −0.00255310 | ||||||||
\(989\) | −13.2164 | −0.420256 | ||||||||
\(990\) | 81.7957 | 2.59964 | ||||||||
\(991\) | −32.5063 | −1.03260 | −0.516298 | − | 0.856409i | \(-0.672690\pi\) | ||||
−0.516298 | + | 0.856409i | \(0.672690\pi\) | |||||||
\(992\) | 8.11016 | 0.257498 | ||||||||
\(993\) | −58.7831 | −1.86543 | ||||||||
\(994\) | 36.7060 | 1.16424 | ||||||||
\(995\) | 14.1446 | 0.448415 | ||||||||
\(996\) | −0.597338 | −0.0189274 | ||||||||
\(997\) | −39.1174 | −1.23886 | −0.619430 | − | 0.785052i | \(-0.712636\pi\) | ||||
−0.619430 | + | 0.785052i | \(0.712636\pi\) | |||||||
\(998\) | −30.6427 | −0.969979 | ||||||||
\(999\) | 28.2516 | 0.893840 |
(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 | 8018.2.a.k.1.1 | ✓ | 49 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
8018.2.a.k.1.1 | ✓ | 49 | 1.1 | even | 1 | trivial |