Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1950,2,Mod(49,1950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1950, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1950.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1950 = 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1950.y (of order \(6\), degree \(2\), not minimal) |
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: | no |
Analytic conductor: | \(15.5708283941\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 78) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 199.1 | ||
Root | \(0.866025 + 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1950.199 |
Dual form | 1950.2.y.g.49.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1950\mathbb{Z}\right)^\times\).
\(n\) | \(301\) | \(1301\) | \(1327\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.866025 | + | 0.500000i | −0.353553 | + | 0.204124i | ||||
\(7\) | −0.366025 | − | 0.633975i | −0.138345 | − | 0.239620i | 0.788526 | − | 0.615002i | \(-0.210845\pi\) |
−0.926870 | + | 0.375382i | \(0.877511\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.09808 | − | 2.36603i | −1.23562 | − | 0.713384i | −0.267421 | − | 0.963580i | \(-0.586172\pi\) |
−0.968195 | + | 0.250196i | \(0.919505\pi\) | |||||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | 2.50000 | + | 2.59808i | 0.693375 | + | 0.720577i | ||||
\(14\) | −0.732051 | −0.195649 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.96410 | + | 1.13397i | −0.476365 | + | 0.275029i | −0.718900 | − | 0.695113i | \(-0.755354\pi\) |
0.242536 | + | 0.970143i | \(0.422021\pi\) | |||||||
\(18\) | 1.00000 | 0.235702 | ||||||||
\(19\) | 1.09808 | − | 0.633975i | 0.251916 | − | 0.145444i | −0.368725 | − | 0.929538i | \(-0.620206\pi\) |
0.620641 | + | 0.784095i | \(0.286872\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.732051i | 0.159747i | ||||||||
\(22\) | −4.09808 | + | 2.36603i | −0.873713 | + | 0.504438i | ||||
\(23\) | −5.36603 | − | 3.09808i | −1.11889 | − | 0.645994i | −0.177775 | − | 0.984071i | \(-0.556890\pi\) |
−0.941118 | + | 0.338078i | \(0.890223\pi\) | |||||||
\(24\) | 0.866025 | + | 0.500000i | 0.176777 | + | 0.102062i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 3.50000 | − | 0.866025i | 0.686406 | − | 0.169842i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −0.366025 | + | 0.633975i | −0.0691723 | + | 0.119810i | ||||
\(29\) | 1.23205 | − | 2.13397i | 0.228786 | − | 0.396269i | −0.728663 | − | 0.684873i | \(-0.759858\pi\) |
0.957449 | + | 0.288604i | \(0.0931910\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.46410i | 0.981382i | 0.871334 | + | 0.490691i | \(0.163256\pi\) | ||||
−0.871334 | + | 0.490691i | \(0.836744\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 2.36603 | + | 4.09808i | 0.411872 | + | 0.713384i | ||||
\(34\) | 2.26795i | 0.388950i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.500000 | − | 0.866025i | 0.0833333 | − | 0.144338i | ||||
\(37\) | −5.23205 | + | 9.06218i | −0.860144 | + | 1.48981i | 0.0116456 | + | 0.999932i | \(0.496293\pi\) |
−0.871789 | + | 0.489881i | \(0.837040\pi\) | |||||||
\(38\) | − | 1.26795i | − | 0.205689i | ||||||
\(39\) | −0.866025 | − | 3.50000i | −0.138675 | − | 0.560449i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.86603 | + | 5.69615i | 1.54081 | + | 0.889590i | 0.998788 | + | 0.0492283i | \(0.0156762\pi\) |
0.542027 | + | 0.840361i | \(0.317657\pi\) | |||||||
\(42\) | 0.633975 | + | 0.366025i | 0.0978244 | + | 0.0564789i | ||||
\(43\) | −6.63397 | + | 3.83013i | −1.01167 | + | 0.584089i | −0.911681 | − | 0.410899i | \(-0.865215\pi\) |
−0.0999910 | + | 0.994988i | \(0.531881\pi\) | |||||||
\(44\) | 4.73205i | 0.713384i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.36603 | + | 3.09808i | −0.791177 | + | 0.456786i | ||||
\(47\) | −8.19615 | −1.19553 | −0.597766 | − | 0.801671i | \(-0.703945\pi\) | ||||
−0.597766 | + | 0.801671i | \(0.703945\pi\) | |||||||
\(48\) | 0.866025 | − | 0.500000i | 0.125000 | − | 0.0721688i | ||||
\(49\) | 3.23205 | − | 5.59808i | 0.461722 | − | 0.799725i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.26795 | 0.317576 | ||||||||
\(52\) | 1.00000 | − | 3.46410i | 0.138675 | − | 0.480384i | ||||
\(53\) | 0.464102i | 0.0637493i | 0.999492 | + | 0.0318746i | \(0.0101477\pi\) | ||||
−0.999492 | + | 0.0318746i | \(0.989852\pi\) | |||||||
\(54\) | −0.866025 | − | 0.500000i | −0.117851 | − | 0.0680414i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0.366025 | + | 0.633975i | 0.0489122 | + | 0.0847184i | ||||
\(57\) | −1.26795 | −0.167944 | ||||||||
\(58\) | −1.23205 | − | 2.13397i | −0.161776 | − | 0.280205i | ||||
\(59\) | −6.92820 | + | 4.00000i | −0.901975 | + | 0.520756i | −0.877841 | − | 0.478953i | \(-0.841016\pi\) |
−0.0241347 | + | 0.999709i | \(0.507683\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.598076 | − | 1.03590i | −0.0765758 | − | 0.132633i | 0.825195 | − | 0.564848i | \(-0.191065\pi\) |
−0.901770 | + | 0.432215i | \(0.857732\pi\) | |||||||
\(62\) | 4.73205 | + | 2.73205i | 0.600971 | + | 0.346971i | ||||
\(63\) | 0.366025 | − | 0.633975i | 0.0461149 | − | 0.0798733i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.73205 | 0.582475 | ||||||||
\(67\) | −5.56218 | + | 9.63397i | −0.679528 | + | 1.17698i | 0.295595 | + | 0.955313i | \(0.404482\pi\) |
−0.975123 | + | 0.221664i | \(0.928851\pi\) | |||||||
\(68\) | 1.96410 | + | 1.13397i | 0.238182 | + | 0.137515i | ||||
\(69\) | 3.09808 | + | 5.36603i | 0.372965 | + | 0.645994i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.09808 | + | 0.633975i | −0.130318 | + | 0.0752389i | −0.563742 | − | 0.825951i | \(-0.690639\pi\) |
0.433424 | + | 0.901190i | \(0.357305\pi\) | |||||||
\(72\) | −0.500000 | − | 0.866025i | −0.0589256 | − | 0.102062i | ||||
\(73\) | 9.73205 | 1.13905 | 0.569525 | − | 0.821974i | \(-0.307127\pi\) | ||||
0.569525 | + | 0.821974i | \(0.307127\pi\) | |||||||
\(74\) | 5.23205 | + | 9.06218i | 0.608214 | + | 1.05346i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.09808 | − | 0.633975i | −0.125958 | − | 0.0727219i | ||||
\(77\) | 3.46410i | 0.394771i | ||||||||
\(78\) | −3.46410 | − | 1.00000i | −0.392232 | − | 0.113228i | ||||
\(79\) | 9.46410 | 1.06479 | 0.532397 | − | 0.846495i | \(-0.321291\pi\) | ||||
0.532397 | + | 0.846495i | \(0.321291\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 9.86603 | − | 5.69615i | 1.08952 | − | 0.629035i | ||||
\(83\) | 10.1962 | 1.11917 | 0.559587 | − | 0.828772i | \(-0.310960\pi\) | ||||
0.559587 | + | 0.828772i | \(0.310960\pi\) | |||||||
\(84\) | 0.633975 | − | 0.366025i | 0.0691723 | − | 0.0399366i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 7.66025i | 0.826026i | ||||||||
\(87\) | −2.13397 | + | 1.23205i | −0.228786 | + | 0.132090i | ||||
\(88\) | 4.09808 | + | 2.36603i | 0.436856 | + | 0.252219i | ||||
\(89\) | −2.19615 | − | 1.26795i | −0.232792 | − | 0.134402i | 0.379068 | − | 0.925369i | \(-0.376245\pi\) |
−0.611859 | + | 0.790967i | \(0.709578\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.732051 | − | 2.53590i | 0.0767398 | − | 0.265834i | ||||
\(92\) | 6.19615i | 0.645994i | ||||||||
\(93\) | 2.73205 | − | 4.73205i | 0.283300 | − | 0.490691i | ||||
\(94\) | −4.09808 | + | 7.09808i | −0.422684 | + | 0.732111i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | − | 1.00000i | − | 0.102062i | ||||||
\(97\) | −3.00000 | − | 5.19615i | −0.304604 | − | 0.527589i | 0.672569 | − | 0.740034i | \(-0.265191\pi\) |
−0.977173 | + | 0.212445i | \(0.931857\pi\) | |||||||
\(98\) | −3.23205 | − | 5.59808i | −0.326486 | − | 0.565491i | ||||
\(99\) | − | 4.73205i | − | 0.475589i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.96410 | + | 10.3301i | −0.593450 | + | 1.02789i | 0.400313 | + | 0.916378i | \(0.368901\pi\) |
−0.993764 | + | 0.111508i | \(0.964432\pi\) | |||||||
\(102\) | 1.13397 | − | 1.96410i | 0.112280 | − | 0.194475i | ||||
\(103\) | 18.7321i | 1.84572i | 0.385131 | + | 0.922862i | \(0.374156\pi\) | ||||
−0.385131 | + | 0.922862i | \(0.625844\pi\) | |||||||
\(104\) | −2.50000 | − | 2.59808i | −0.245145 | − | 0.254762i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.401924 | + | 0.232051i | 0.0390383 | + | 0.0225388i | ||||
\(107\) | −0.169873 | − | 0.0980762i | −0.0164222 | − | 0.00948139i | 0.491766 | − | 0.870727i | \(-0.336351\pi\) |
−0.508189 | + | 0.861246i | \(0.669685\pi\) | |||||||
\(108\) | −0.866025 | + | 0.500000i | −0.0833333 | + | 0.0481125i | ||||
\(109\) | − | 5.46410i | − | 0.523366i | −0.965154 | − | 0.261683i | \(-0.915723\pi\) | ||
0.965154 | − | 0.261683i | \(-0.0842775\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.06218 | − | 5.23205i | 0.860144 | − | 0.496604i | ||||
\(112\) | 0.732051 | 0.0691723 | ||||||||
\(113\) | −16.1603 | + | 9.33013i | −1.52023 | + | 0.877705i | −0.520513 | + | 0.853854i | \(0.674259\pi\) |
−0.999716 | + | 0.0238510i | \(0.992407\pi\) | |||||||
\(114\) | −0.633975 | + | 1.09808i | −0.0593772 | + | 0.102844i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.46410 | −0.228786 | ||||||||
\(117\) | −1.00000 | + | 3.46410i | −0.0924500 | + | 0.320256i | ||||
\(118\) | 8.00000i | 0.736460i | ||||||||
\(119\) | 1.43782 | + | 0.830127i | 0.131805 | + | 0.0760976i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.69615 | + | 9.86603i | 0.517832 | + | 0.896911i | ||||
\(122\) | −1.19615 | −0.108295 | ||||||||
\(123\) | −5.69615 | − | 9.86603i | −0.513605 | − | 0.889590i | ||||
\(124\) | 4.73205 | − | 2.73205i | 0.424951 | − | 0.245345i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.366025 | − | 0.633975i | −0.0326081 | − | 0.0564789i | ||||
\(127\) | −15.4641 | − | 8.92820i | −1.37222 | − | 0.792250i | −0.381010 | − | 0.924571i | \(-0.624424\pi\) |
−0.991207 | + | 0.132321i | \(0.957757\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 7.66025 | 0.674448 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 13.4641 | 1.17636 | 0.588182 | − | 0.808729i | \(-0.299844\pi\) | ||||
0.588182 | + | 0.808729i | \(0.299844\pi\) | |||||||
\(132\) | 2.36603 | − | 4.09808i | 0.205936 | − | 0.356692i | ||||
\(133\) | −0.803848 | − | 0.464102i | −0.0697024 | − | 0.0402427i | ||||
\(134\) | 5.56218 | + | 9.63397i | 0.480499 | + | 0.832249i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.96410 | − | 1.13397i | 0.168420 | − | 0.0972375i | ||||
\(137\) | 0.964102 | + | 1.66987i | 0.0823688 | + | 0.142667i | 0.904267 | − | 0.426968i | \(-0.140418\pi\) |
−0.821898 | + | 0.569634i | \(0.807085\pi\) | |||||||
\(138\) | 6.19615 | 0.527452 | ||||||||
\(139\) | −4.92820 | − | 8.53590i | −0.418005 | − | 0.724005i | 0.577734 | − | 0.816225i | \(-0.303937\pi\) |
−0.995739 | + | 0.0922197i | \(0.970604\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.09808 | + | 4.09808i | 0.597766 | + | 0.345120i | ||||
\(142\) | 1.26795i | 0.106404i | ||||||||
\(143\) | −4.09808 | − | 16.5622i | −0.342698 | − | 1.38500i | ||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 4.86603 | − | 8.42820i | 0.402715 | − | 0.697523i | ||||
\(147\) | −5.59808 | + | 3.23205i | −0.461722 | + | 0.266575i | ||||
\(148\) | 10.4641 | 0.860144 | ||||||||
\(149\) | 2.42820 | − | 1.40192i | 0.198926 | − | 0.114850i | −0.397228 | − | 0.917720i | \(-0.630028\pi\) |
0.596154 | + | 0.802870i | \(0.296695\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.26795i | 0.265942i | 0.991120 | + | 0.132971i | \(0.0424517\pi\) | ||||
−0.991120 | + | 0.132971i | \(0.957548\pi\) | |||||||
\(152\) | −1.09808 | + | 0.633975i | −0.0890657 | + | 0.0514221i | ||||
\(153\) | −1.96410 | − | 1.13397i | −0.158788 | − | 0.0916764i | ||||
\(154\) | 3.00000 | + | 1.73205i | 0.241747 | + | 0.139573i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −2.59808 | + | 2.50000i | −0.208013 | + | 0.200160i | ||||
\(157\) | 23.5885i | 1.88256i | 0.337622 | + | 0.941282i | \(0.390378\pi\) | ||||
−0.337622 | + | 0.941282i | \(0.609622\pi\) | |||||||
\(158\) | 4.73205 | − | 8.19615i | 0.376462 | − | 0.652051i | ||||
\(159\) | 0.232051 | − | 0.401924i | 0.0184028 | − | 0.0318746i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.53590i | 0.357479i | ||||||||
\(162\) | 0.500000 | + | 0.866025i | 0.0392837 | + | 0.0680414i | ||||
\(163\) | −3.26795 | − | 5.66025i | −0.255966 | − | 0.443345i | 0.709192 | − | 0.705016i | \(-0.249060\pi\) |
−0.965157 | + | 0.261670i | \(0.915727\pi\) | |||||||
\(164\) | − | 11.3923i | − | 0.889590i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.09808 | − | 8.83013i | 0.395687 | − | 0.685351i | ||||
\(167\) | 1.26795 | − | 2.19615i | 0.0981169 | − | 0.169943i | −0.812788 | − | 0.582559i | \(-0.802051\pi\) |
0.910905 | + | 0.412616i | \(0.135385\pi\) | |||||||
\(168\) | − | 0.732051i | − | 0.0564789i | ||||||
\(169\) | −0.500000 | + | 12.9904i | −0.0384615 | + | 0.999260i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.09808 | + | 0.633975i | 0.0839720 | + | 0.0484812i | ||||
\(172\) | 6.63397 | + | 3.83013i | 0.505836 | + | 0.292044i | ||||
\(173\) | 14.1962 | − | 8.19615i | 1.07931 | − | 0.623142i | 0.148602 | − | 0.988897i | \(-0.452523\pi\) |
0.930711 | + | 0.365755i | \(0.119189\pi\) | |||||||
\(174\) | 2.46410i | 0.186803i | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 4.09808 | − | 2.36603i | 0.308904 | − | 0.178346i | ||||
\(177\) | 8.00000 | 0.601317 | ||||||||
\(178\) | −2.19615 | + | 1.26795i | −0.164609 | + | 0.0950368i | ||||
\(179\) | −11.0263 | + | 19.0981i | −0.824143 | + | 1.42746i | 0.0784298 | + | 0.996920i | \(0.475009\pi\) |
−0.902573 | + | 0.430538i | \(0.858324\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.80385 | −0.654385 | −0.327192 | − | 0.944958i | \(-0.606103\pi\) | ||||
−0.327192 | + | 0.944958i | \(0.606103\pi\) | |||||||
\(182\) | −1.83013 | − | 1.90192i | −0.135658 | − | 0.140980i | ||||
\(183\) | 1.19615i | 0.0884221i | ||||||||
\(184\) | 5.36603 | + | 3.09808i | 0.395589 | + | 0.228393i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −2.73205 | − | 4.73205i | −0.200324 | − | 0.346971i | ||||
\(187\) | 10.7321 | 0.784805 | ||||||||
\(188\) | 4.09808 | + | 7.09808i | 0.298883 | + | 0.517680i | ||||
\(189\) | −0.633975 | + | 0.366025i | −0.0461149 | + | 0.0266244i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.46410 | − | 6.00000i | −0.250654 | − | 0.434145i | 0.713052 | − | 0.701111i | \(-0.247312\pi\) |
−0.963706 | + | 0.266966i | \(0.913979\pi\) | |||||||
\(192\) | −0.866025 | − | 0.500000i | −0.0625000 | − | 0.0360844i | ||||
\(193\) | −4.13397 | + | 7.16025i | −0.297570 | + | 0.515406i | −0.975579 | − | 0.219647i | \(-0.929510\pi\) |
0.678009 | + | 0.735053i | \(0.262843\pi\) | |||||||
\(194\) | −6.00000 | −0.430775 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.46410 | −0.461722 | ||||||||
\(197\) | 4.92820 | − | 8.53590i | 0.351120 | − | 0.608158i | −0.635326 | − | 0.772244i | \(-0.719134\pi\) |
0.986446 | + | 0.164086i | \(0.0524676\pi\) | |||||||
\(198\) | −4.09808 | − | 2.36603i | −0.291238 | − | 0.168146i | ||||
\(199\) | 1.90192 | + | 3.29423i | 0.134824 | + | 0.233522i | 0.925530 | − | 0.378674i | \(-0.123620\pi\) |
−0.790706 | + | 0.612196i | \(0.790286\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 9.63397 | − | 5.56218i | 0.679528 | − | 0.392326i | ||||
\(202\) | 5.96410 | + | 10.3301i | 0.419633 | + | 0.726825i | ||||
\(203\) | −1.80385 | −0.126605 | ||||||||
\(204\) | −1.13397 | − | 1.96410i | −0.0793941 | − | 0.137515i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 16.2224 | + | 9.36603i | 1.13027 | + | 0.652562i | ||||
\(207\) | − | 6.19615i | − | 0.430662i | ||||||
\(208\) | −3.50000 | + | 0.866025i | −0.242681 | + | 0.0600481i | ||||
\(209\) | −6.00000 | −0.415029 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.19615 | − | 3.80385i | 0.151189 | − | 0.261868i | −0.780476 | − | 0.625186i | \(-0.785023\pi\) |
0.931665 | + | 0.363319i | \(0.118356\pi\) | |||||||
\(212\) | 0.401924 | − | 0.232051i | 0.0276042 | − | 0.0159373i | ||||
\(213\) | 1.26795 | 0.0868784 | ||||||||
\(214\) | −0.169873 | + | 0.0980762i | −0.0116123 | + | 0.00670435i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | 3.46410 | − | 2.00000i | 0.235159 | − | 0.135769i | ||||
\(218\) | −4.73205 | − | 2.73205i | −0.320495 | − | 0.185038i | ||||
\(219\) | −8.42820 | − | 4.86603i | −0.569525 | − | 0.328816i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −7.85641 | − | 2.26795i | −0.528479 | − | 0.152559i | ||||
\(222\) | − | 10.4641i | − | 0.702305i | ||||||
\(223\) | 6.53590 | − | 11.3205i | 0.437676 | − | 0.758077i | −0.559834 | − | 0.828605i | \(-0.689135\pi\) |
0.997510 | + | 0.0705277i | \(0.0224683\pi\) | |||||||
\(224\) | 0.366025 | − | 0.633975i | 0.0244561 | − | 0.0423592i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 18.6603i | 1.24126i | ||||||||
\(227\) | −0.901924 | − | 1.56218i | −0.0598628 | − | 0.103685i | 0.834541 | − | 0.550946i | \(-0.185733\pi\) |
−0.894404 | + | 0.447261i | \(0.852400\pi\) | |||||||
\(228\) | 0.633975 | + | 1.09808i | 0.0419860 | + | 0.0727219i | ||||
\(229\) | − | 15.8564i | − | 1.04782i | −0.851773 | − | 0.523910i | \(-0.824473\pi\) | ||
0.851773 | − | 0.523910i | \(-0.175527\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.73205 | − | 3.00000i | 0.113961 | − | 0.197386i | ||||
\(232\) | −1.23205 | + | 2.13397i | −0.0808881 | + | 0.140102i | ||||
\(233\) | − | 19.8564i | − | 1.30084i | −0.759576 | − | 0.650418i | \(-0.774594\pi\) | ||
0.759576 | − | 0.650418i | \(-0.225406\pi\) | |||||||
\(234\) | 2.50000 | + | 2.59808i | 0.163430 | + | 0.169842i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 6.92820 | + | 4.00000i | 0.450988 | + | 0.260378i | ||||
\(237\) | −8.19615 | − | 4.73205i | −0.532397 | − | 0.307380i | ||||
\(238\) | 1.43782 | − | 0.830127i | 0.0932002 | − | 0.0538091i | ||||
\(239\) | − | 9.66025i | − | 0.624870i | −0.949939 | − | 0.312435i | \(-0.898855\pi\) | ||
0.949939 | − | 0.312435i | \(-0.101145\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −15.2321 | + | 8.79423i | −0.981183 | + | 0.566486i | −0.902627 | − | 0.430424i | \(-0.858364\pi\) |
−0.0785557 | + | 0.996910i | \(0.525031\pi\) | |||||||
\(242\) | 11.3923 | 0.732325 | ||||||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | −0.598076 | + | 1.03590i | −0.0382879 | + | 0.0663166i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −11.3923 | −0.726347 | ||||||||
\(247\) | 4.39230 | + | 1.26795i | 0.279476 | + | 0.0806777i | ||||
\(248\) | − | 5.46410i | − | 0.346971i | ||||||
\(249\) | −8.83013 | − | 5.09808i | −0.559587 | − | 0.323077i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.26795 | + | 5.66025i | 0.206271 | + | 0.357272i | 0.950537 | − | 0.310611i | \(-0.100534\pi\) |
−0.744266 | + | 0.667883i | \(0.767200\pi\) | |||||||
\(252\) | −0.732051 | −0.0461149 | ||||||||
\(253\) | 14.6603 | + | 25.3923i | 0.921682 | + | 1.59640i | ||||
\(254\) | −15.4641 | + | 8.92820i | −0.970304 | + | 0.560205i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −23.0885 | − | 13.3301i | −1.44022 | − | 0.831510i | −0.442355 | − | 0.896840i | \(-0.645857\pi\) |
−0.997864 | + | 0.0653297i | \(0.979190\pi\) | |||||||
\(258\) | 3.83013 | − | 6.63397i | 0.238453 | − | 0.413013i | ||||
\(259\) | 7.66025 | 0.475985 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.46410 | 0.152524 | ||||||||
\(262\) | 6.73205 | − | 11.6603i | 0.415907 | − | 0.720373i | ||||
\(263\) | −24.2942 | − | 14.0263i | −1.49805 | − | 0.864897i | −0.498049 | − | 0.867149i | \(-0.665950\pi\) |
−0.999997 | + | 0.00225153i | \(0.999283\pi\) | |||||||
\(264\) | −2.36603 | − | 4.09808i | −0.145619 | − | 0.252219i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.803848 | + | 0.464102i | −0.0492871 | + | 0.0284559i | ||||
\(267\) | 1.26795 | + | 2.19615i | 0.0775972 | + | 0.134402i | ||||
\(268\) | 11.1244 | 0.679528 | ||||||||
\(269\) | −0.732051 | − | 1.26795i | −0.0446339 | − | 0.0773082i | 0.842845 | − | 0.538156i | \(-0.180879\pi\) |
−0.887479 | + | 0.460848i | \(0.847545\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.07180 | − | 2.92820i | −0.308090 | − | 0.177876i | 0.337982 | − | 0.941153i | \(-0.390256\pi\) |
−0.646071 | + | 0.763277i | \(0.723589\pi\) | |||||||
\(272\) | − | 2.26795i | − | 0.137515i | ||||||
\(273\) | −1.90192 | + | 1.83013i | −0.115110 | + | 0.110764i | ||||
\(274\) | 1.92820 | 0.116487 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.09808 | − | 5.36603i | 0.186482 | − | 0.322997i | ||||
\(277\) | −1.96410 | + | 1.13397i | −0.118011 | + | 0.0681339i | −0.557844 | − | 0.829946i | \(-0.688371\pi\) |
0.439832 | + | 0.898080i | \(0.355038\pi\) | |||||||
\(278\) | −9.85641 | −0.591148 | ||||||||
\(279\) | −4.73205 | + | 2.73205i | −0.283300 | + | 0.163564i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 22.3205i | − | 1.33153i | −0.746162 | − | 0.665765i | \(-0.768105\pi\) | ||
0.746162 | − | 0.665765i | \(-0.231895\pi\) | |||||||
\(282\) | 7.09808 | − | 4.09808i | 0.422684 | − | 0.244037i | ||||
\(283\) | 7.22243 | + | 4.16987i | 0.429329 | + | 0.247873i | 0.699061 | − | 0.715062i | \(-0.253602\pi\) |
−0.269732 | + | 0.962936i | \(0.586935\pi\) | |||||||
\(284\) | 1.09808 | + | 0.633975i | 0.0651588 | + | 0.0376195i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −16.3923 | − | 4.73205i | −0.969297 | − | 0.279812i | ||||
\(287\) | − | 8.33975i | − | 0.492280i | ||||||
\(288\) | −0.500000 | + | 0.866025i | −0.0294628 | + | 0.0510310i | ||||
\(289\) | −5.92820 | + | 10.2679i | −0.348718 | + | 0.603997i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 6.00000i | 0.351726i | ||||||||
\(292\) | −4.86603 | − | 8.42820i | −0.284763 | − | 0.493223i | ||||
\(293\) | −7.25833 | − | 12.5718i | −0.424036 | − | 0.734452i | 0.572294 | − | 0.820049i | \(-0.306054\pi\) |
−0.996330 | + | 0.0855965i | \(0.972720\pi\) | |||||||
\(294\) | 6.46410i | 0.376994i | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 5.23205 | − | 9.06218i | 0.304107 | − | 0.526728i | ||||
\(297\) | −2.36603 | + | 4.09808i | −0.137291 | + | 0.237795i | ||||
\(298\) | − | 2.80385i | − | 0.162423i | ||||||
\(299\) | −5.36603 | − | 21.6865i | −0.310325 | − | 1.25416i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.85641 | + | 2.80385i | 0.279919 | + | 0.161611i | ||||
\(302\) | 2.83013 | + | 1.63397i | 0.162856 | + | 0.0940247i | ||||
\(303\) | 10.3301 | − | 5.96410i | 0.593450 | − | 0.342629i | ||||
\(304\) | 1.26795i | 0.0727219i | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −1.96410 | + | 1.13397i | −0.112280 | + | 0.0648250i | ||||
\(307\) | 8.58846 | 0.490169 | 0.245085 | − | 0.969502i | \(-0.421184\pi\) | ||||
0.245085 | + | 0.969502i | \(0.421184\pi\) | |||||||
\(308\) | 3.00000 | − | 1.73205i | 0.170941 | − | 0.0986928i | ||||
\(309\) | 9.36603 | − | 16.2224i | 0.532815 | − | 0.922862i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −15.6603 | −0.888012 | −0.444006 | − | 0.896024i | \(-0.646443\pi\) | ||||
−0.444006 | + | 0.896024i | \(0.646443\pi\) | |||||||
\(312\) | 0.866025 | + | 3.50000i | 0.0490290 | + | 0.198148i | ||||
\(313\) | 13.4641i | 0.761036i | 0.924774 | + | 0.380518i | \(0.124254\pi\) | ||||
−0.924774 | + | 0.380518i | \(0.875746\pi\) | |||||||
\(314\) | 20.4282 | + | 11.7942i | 1.15283 | + | 0.665587i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.73205 | − | 8.19615i | −0.266199 | − | 0.461070i | ||||
\(317\) | −3.33975 | −0.187579 | −0.0937894 | − | 0.995592i | \(-0.529898\pi\) | ||||
−0.0937894 | + | 0.995592i | \(0.529898\pi\) | |||||||
\(318\) | −0.232051 | − | 0.401924i | −0.0130128 | − | 0.0225388i | ||||
\(319\) | −10.0981 | + | 5.83013i | −0.565384 | + | 0.326424i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.0980762 | + | 0.169873i | 0.00547408 | + | 0.00948139i | ||||
\(322\) | 3.92820 | + | 2.26795i | 0.218910 | + | 0.126388i | ||||
\(323\) | −1.43782 | + | 2.49038i | −0.0800026 | + | 0.138569i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −6.53590 | −0.361990 | ||||||||
\(327\) | −2.73205 | + | 4.73205i | −0.151083 | + | 0.261683i | ||||
\(328\) | −9.86603 | − | 5.69615i | −0.544760 | − | 0.314517i | ||||
\(329\) | 3.00000 | + | 5.19615i | 0.165395 | + | 0.286473i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.3205 | + | 10.0000i | −0.952021 | + | 0.549650i | −0.893708 | − | 0.448649i | \(-0.851905\pi\) |
−0.0583130 | + | 0.998298i | \(0.518572\pi\) | |||||||
\(332\) | −5.09808 | − | 8.83013i | −0.279793 | − | 0.484616i | ||||
\(333\) | −10.4641 | −0.573429 | ||||||||
\(334\) | −1.26795 | − | 2.19615i | −0.0693791 | − | 0.120168i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −0.633975 | − | 0.366025i | −0.0345861 | − | 0.0199683i | ||||
\(337\) | 6.85641i | 0.373492i | 0.982408 | + | 0.186746i | \(0.0597942\pi\) | ||||
−0.982408 | + | 0.186746i | \(0.940206\pi\) | |||||||
\(338\) | 11.0000 | + | 6.92820i | 0.598321 | + | 0.376845i | ||||
\(339\) | 18.6603 | 1.01349 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.9282 | − | 22.3923i | 0.700101 | − | 1.21261i | ||||
\(342\) | 1.09808 | − | 0.633975i | 0.0593772 | − | 0.0342814i | ||||
\(343\) | −9.85641 | −0.532196 | ||||||||
\(344\) | 6.63397 | − | 3.83013i | 0.357680 | − | 0.206507i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | − | 16.3923i | − | 0.881256i | ||||||
\(347\) | −7.68653 | + | 4.43782i | −0.412635 | + | 0.238235i | −0.691921 | − | 0.721973i | \(-0.743235\pi\) |
0.279286 | + | 0.960208i | \(0.409902\pi\) | |||||||
\(348\) | 2.13397 | + | 1.23205i | 0.114393 | + | 0.0660449i | ||||
\(349\) | −16.7321 | − | 9.66025i | −0.895646 | − | 0.517102i | −0.0198610 | − | 0.999803i | \(-0.506322\pi\) |
−0.875785 | + | 0.482701i | \(0.839656\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.59808 | − | 2.50000i | 0.138675 | − | 0.133440i | ||||
\(352\) | − | 4.73205i | − | 0.252219i | ||||||
\(353\) | −9.89230 | + | 17.1340i | −0.526514 | + | 0.911949i | 0.473008 | + | 0.881058i | \(0.343168\pi\) |
−0.999523 | + | 0.0308916i | \(0.990165\pi\) | |||||||
\(354\) | 4.00000 | − | 6.92820i | 0.212598 | − | 0.368230i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 2.53590i | 0.134402i | ||||||||
\(357\) | −0.830127 | − | 1.43782i | −0.0439350 | − | 0.0760976i | ||||
\(358\) | 11.0263 | + | 19.0981i | 0.582757 | + | 1.00936i | ||||
\(359\) | − | 23.1244i | − | 1.22046i | −0.792226 | − | 0.610228i | \(-0.791078\pi\) | ||
0.792226 | − | 0.610228i | \(-0.208922\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.69615 | + | 15.0622i | −0.457692 | + | 0.792746i | ||||
\(362\) | −4.40192 | + | 7.62436i | −0.231360 | + | 0.400727i | ||||
\(363\) | − | 11.3923i | − | 0.597941i | ||||||
\(364\) | −2.56218 | + | 0.633975i | −0.134295 | + | 0.0332293i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 1.03590 | + | 0.598076i | 0.0541473 | + | 0.0312619i | ||||
\(367\) | −12.7583 | − | 7.36603i | −0.665979 | − | 0.384503i | 0.128572 | − | 0.991700i | \(-0.458961\pi\) |
−0.794551 | + | 0.607197i | \(0.792294\pi\) | |||||||
\(368\) | 5.36603 | − | 3.09808i | 0.279723 | − | 0.161498i | ||||
\(369\) | 11.3923i | 0.593060i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.294229 | − | 0.169873i | 0.0152756 | − | 0.00881937i | ||||
\(372\) | −5.46410 | −0.283300 | ||||||||
\(373\) | −8.89230 | + | 5.13397i | −0.460426 | + | 0.265827i | −0.712223 | − | 0.701953i | \(-0.752312\pi\) |
0.251797 | + | 0.967780i | \(0.418978\pi\) | |||||||
\(374\) | 5.36603 | − | 9.29423i | 0.277471 | − | 0.480593i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.19615 | 0.422684 | ||||||||
\(377\) | 8.62436 | − | 2.13397i | 0.444177 | − | 0.109905i | ||||
\(378\) | 0.732051i | 0.0376526i | ||||||||
\(379\) | −1.26795 | − | 0.732051i | −0.0651302 | − | 0.0376029i | 0.467081 | − | 0.884214i | \(-0.345306\pi\) |
−0.532211 | + | 0.846611i | \(0.678639\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.92820 | + | 15.4641i | 0.457406 | + | 0.792250i | ||||
\(382\) | −6.92820 | −0.354478 | ||||||||
\(383\) | −2.73205 | − | 4.73205i | −0.139601 | − | 0.241797i | 0.787744 | − | 0.616002i | \(-0.211249\pi\) |
−0.927346 | + | 0.374206i | \(0.877915\pi\) | |||||||
\(384\) | −0.866025 | + | 0.500000i | −0.0441942 | + | 0.0255155i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 4.13397 | + | 7.16025i | 0.210414 | + | 0.364447i | ||||
\(387\) | −6.63397 | − | 3.83013i | −0.337224 | − | 0.194696i | ||||
\(388\) | −3.00000 | + | 5.19615i | −0.152302 | + | 0.263795i | ||||
\(389\) | −29.7846 | −1.51014 | −0.755070 | − | 0.655644i | \(-0.772397\pi\) | ||||
−0.755070 | + | 0.655644i | \(0.772397\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.0526 | 0.710668 | ||||||||
\(392\) | −3.23205 | + | 5.59808i | −0.163243 | + | 0.282746i | ||||
\(393\) | −11.6603 | − | 6.73205i | −0.588182 | − | 0.339587i | ||||
\(394\) | −4.92820 | − | 8.53590i | −0.248279 | − | 0.430032i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −4.09808 | + | 2.36603i | −0.205936 | + | 0.118897i | ||||
\(397\) | 0.196152 | + | 0.339746i | 0.00984461 | + | 0.0170514i | 0.870906 | − | 0.491450i | \(-0.163533\pi\) |
−0.861061 | + | 0.508501i | \(0.830200\pi\) | |||||||
\(398\) | 3.80385 | 0.190670 | ||||||||
\(399\) | 0.464102 | + | 0.803848i | 0.0232341 | + | 0.0402427i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −18.9904 | − | 10.9641i | −0.948334 | − | 0.547521i | −0.0557713 | − | 0.998444i | \(-0.517762\pi\) |
−0.892563 | + | 0.450922i | \(0.851095\pi\) | |||||||
\(402\) | − | 11.1244i | − | 0.554832i | ||||||
\(403\) | −14.1962 | + | 13.6603i | −0.707161 | + | 0.680466i | ||||
\(404\) | 11.9282 | 0.593450 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.901924 | + | 1.56218i | −0.0447617 | + | 0.0775296i | ||||
\(407\) | 42.8827 | − | 24.7583i | 2.12562 | − | 1.22722i | ||||
\(408\) | −2.26795 | −0.112280 | ||||||||
\(409\) | 12.3564 | − | 7.13397i | 0.610985 | − | 0.352752i | −0.162366 | − | 0.986731i | \(-0.551912\pi\) |
0.773351 | + | 0.633978i | \(0.218579\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 1.92820i | − | 0.0951113i | ||||||
\(412\) | 16.2224 | − | 9.36603i | 0.799222 | − | 0.461431i | ||||
\(413\) | 5.07180 | + | 2.92820i | 0.249567 | + | 0.144087i | ||||
\(414\) | −5.36603 | − | 3.09808i | −0.263726 | − | 0.152262i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −1.00000 | + | 3.46410i | −0.0490290 | + | 0.169842i | ||||
\(417\) | 9.85641i | 0.482670i | ||||||||
\(418\) | −3.00000 | + | 5.19615i | −0.146735 | + | 0.254152i | ||||
\(419\) | −5.26795 | + | 9.12436i | −0.257356 | + | 0.445754i | −0.965533 | − | 0.260281i | \(-0.916185\pi\) |
0.708177 | + | 0.706035i | \(0.249518\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 32.7128i | − | 1.59432i | −0.603765 | − | 0.797162i | \(-0.706333\pi\) | ||
0.603765 | − | 0.797162i | \(-0.293667\pi\) | |||||||
\(422\) | −2.19615 | − | 3.80385i | −0.106907 | − | 0.185168i | ||||
\(423\) | −4.09808 | − | 7.09808i | −0.199255 | − | 0.345120i | ||||
\(424\) | − | 0.464102i | − | 0.0225388i | ||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0.633975 | − | 1.09808i | 0.0307162 | − | 0.0532020i | ||||
\(427\) | −0.437822 | + | 0.758330i | −0.0211877 | + | 0.0366982i | ||||
\(428\) | 0.196152i | 0.00948139i | ||||||||
\(429\) | −4.73205 | + | 16.3923i | −0.228466 | + | 0.791428i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −9.63397 | − | 5.56218i | −0.464052 | − | 0.267921i | 0.249694 | − | 0.968325i | \(-0.419670\pi\) |
−0.713747 | + | 0.700404i | \(0.753003\pi\) | |||||||
\(432\) | 0.866025 | + | 0.500000i | 0.0416667 | + | 0.0240563i | ||||
\(433\) | 12.8660 | − | 7.42820i | 0.618302 | − | 0.356977i | −0.157906 | − | 0.987454i | \(-0.550474\pi\) |
0.776208 | + | 0.630478i | \(0.217141\pi\) | |||||||
\(434\) | − | 4.00000i | − | 0.192006i | ||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.73205 | + | 2.73205i | −0.226624 | + | 0.130842i | ||||
\(437\) | −7.85641 | −0.375823 | ||||||||
\(438\) | −8.42820 | + | 4.86603i | −0.402715 | + | 0.232508i | ||||
\(439\) | 8.83013 | − | 15.2942i | 0.421439 | − | 0.729954i | −0.574642 | − | 0.818405i | \(-0.694859\pi\) |
0.996080 | + | 0.0884515i | \(0.0281918\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 6.46410 | 0.307814 | ||||||||
\(442\) | −5.89230 | + | 5.66987i | −0.280268 | + | 0.269688i | ||||
\(443\) | 36.3923i | 1.72905i | 0.502589 | + | 0.864525i | \(0.332381\pi\) | ||||
−0.502589 | + | 0.864525i | \(0.667619\pi\) | |||||||
\(444\) | −9.06218 | − | 5.23205i | −0.430072 | − | 0.248302i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −6.53590 | − | 11.3205i | −0.309484 | − | 0.536042i | ||||
\(447\) | −2.80385 | −0.132617 | ||||||||
\(448\) | −0.366025 | − | 0.633975i | −0.0172931 | − | 0.0299525i | ||||
\(449\) | 20.1962 | − | 11.6603i | 0.953115 | − | 0.550281i | 0.0590680 | − | 0.998254i | \(-0.481187\pi\) |
0.894047 | + | 0.447973i | \(0.147854\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −26.9545 | − | 46.6865i | −1.26924 | − | 2.19838i | ||||
\(452\) | 16.1603 | + | 9.33013i | 0.760114 | + | 0.438852i | ||||
\(453\) | 1.63397 | − | 2.83013i | 0.0767708 | − | 0.132971i | ||||
\(454\) | −1.80385 | −0.0846588 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.26795 | 0.0593772 | ||||||||
\(457\) | 9.33013 | − | 16.1603i | 0.436445 | − | 0.755945i | −0.560967 | − | 0.827838i | \(-0.689571\pi\) |
0.997412 | + | 0.0718931i | \(0.0229040\pi\) | |||||||
\(458\) | −13.7321 | − | 7.92820i | −0.641657 | − | 0.370461i | ||||
\(459\) | 1.13397 | + | 1.96410i | 0.0529294 | + | 0.0916764i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −22.2846 | + | 12.8660i | −1.03790 | + | 0.599231i | −0.919237 | − | 0.393704i | \(-0.871193\pi\) |
−0.118661 | + | 0.992935i | \(0.537860\pi\) | |||||||
\(462\) | −1.73205 | − | 3.00000i | −0.0805823 | − | 0.139573i | ||||
\(463\) | 28.0526 | 1.30371 | 0.651856 | − | 0.758342i | \(-0.273990\pi\) | ||||
0.651856 | + | 0.758342i | \(0.273990\pi\) | |||||||
\(464\) | 1.23205 | + | 2.13397i | 0.0571965 | + | 0.0990673i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −17.1962 | − | 9.92820i | −0.796596 | − | 0.459915i | ||||
\(467\) | − | 12.5885i | − | 0.582524i | −0.956643 | − | 0.291262i | \(-0.905925\pi\) | ||
0.956643 | − | 0.291262i | \(-0.0940752\pi\) | |||||||
\(468\) | 3.50000 | − | 0.866025i | 0.161788 | − | 0.0400320i | ||||
\(469\) | 8.14359 | 0.376036 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.7942 | − | 20.4282i | 0.543449 | − | 0.941282i | ||||
\(472\) | 6.92820 | − | 4.00000i | 0.318896 | − | 0.184115i | ||||
\(473\) | 36.2487 | 1.66672 | ||||||||
\(474\) | −8.19615 | + | 4.73205i | −0.376462 | + | 0.217350i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | − | 1.66025i | − | 0.0760976i | ||||||
\(477\) | −0.401924 | + | 0.232051i | −0.0184028 | + | 0.0106249i | ||||
\(478\) | −8.36603 | − | 4.83013i | −0.382653 | − | 0.220925i | ||||
\(479\) | 22.9808 | + | 13.2679i | 1.05002 | + | 0.606228i | 0.922654 | − | 0.385628i | \(-0.126015\pi\) |
0.127363 | + | 0.991856i | \(0.459349\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −36.6244 | + | 9.06218i | −1.66993 | + | 0.413200i | ||||
\(482\) | 17.5885i | 0.801132i | ||||||||
\(483\) | 2.26795 | − | 3.92820i | 0.103195 | − | 0.178739i | ||||
\(484\) | 5.69615 | − | 9.86603i | 0.258916 | − | 0.448456i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | − | 1.00000i | − | 0.0453609i | ||||||
\(487\) | 10.5622 | + | 18.2942i | 0.478618 | + | 0.828991i | 0.999699 | − | 0.0245163i | \(-0.00780457\pi\) |
−0.521081 | + | 0.853507i | \(0.674471\pi\) | |||||||
\(488\) | 0.598076 | + | 1.03590i | 0.0270736 | + | 0.0468929i | ||||
\(489\) | 6.53590i | 0.295564i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.63397 | − | 4.56218i | 0.118870 | − | 0.205888i | −0.800450 | − | 0.599399i | \(-0.795406\pi\) |
0.919320 | + | 0.393511i | \(0.128740\pi\) | |||||||
\(492\) | −5.69615 | + | 9.86603i | −0.256802 | + | 0.444795i | ||||
\(493\) | 5.58846i | 0.251691i | ||||||||
\(494\) | 3.29423 | − | 3.16987i | 0.148214 | − | 0.142619i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.73205 | − | 2.73205i | −0.212475 | − | 0.122673i | ||||
\(497\) | 0.803848 | + | 0.464102i | 0.0360575 | + | 0.0208178i | ||||
\(498\) | −8.83013 | + | 5.09808i | −0.395687 | + | 0.228450i | ||||
\(499\) | 32.0000i | 1.43252i | 0.697835 | + | 0.716258i | \(0.254147\pi\) | ||||
−0.697835 | + | 0.716258i | \(0.745853\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.19615 | + | 1.26795i | −0.0981169 | + | 0.0566478i | ||||
\(502\) | 6.53590 | 0.291711 | ||||||||
\(503\) | −9.50962 | + | 5.49038i | −0.424013 | + | 0.244804i | −0.696793 | − | 0.717272i | \(-0.745390\pi\) |
0.272780 | + | 0.962076i | \(0.412057\pi\) | |||||||
\(504\) | −0.366025 | + | 0.633975i | −0.0163041 | + | 0.0282395i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 29.3205 | 1.30346 | ||||||||
\(507\) | 6.92820 | − | 11.0000i | 0.307692 | − | 0.488527i | ||||
\(508\) | 17.8564i | 0.792250i | ||||||||
\(509\) | −8.89230 | − | 5.13397i | −0.394144 | − | 0.227559i | 0.289810 | − | 0.957084i | \(-0.406408\pi\) |
−0.683954 | + | 0.729525i | \(0.739741\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.56218 | − | 6.16987i | −0.157581 | − | 0.272939i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −0.633975 | − | 1.09808i | −0.0279907 | − | 0.0484812i | ||||
\(514\) | −23.0885 | + | 13.3301i | −1.01839 | + | 0.587967i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −3.83013 | − | 6.63397i | −0.168612 | − | 0.292044i | ||||
\(517\) | 33.5885 | + | 19.3923i | 1.47722 | + | 0.852873i | ||||
\(518\) | 3.83013 | − | 6.63397i | 0.168286 | − | 0.291480i | ||||
\(519\) | −16.3923 | −0.719542 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −17.4449 | −0.764273 | −0.382137 | − | 0.924106i | \(-0.624812\pi\) | ||||
−0.382137 | + | 0.924106i | \(0.624812\pi\) | |||||||
\(522\) | 1.23205 | − | 2.13397i | 0.0539254 | − | 0.0934015i | ||||
\(523\) | −31.5622 | − | 18.2224i | −1.38012 | − | 0.796811i | −0.387945 | − | 0.921683i | \(-0.626815\pi\) |
−0.992173 | + | 0.124871i | \(0.960148\pi\) | |||||||
\(524\) | −6.73205 | − | 11.6603i | −0.294091 | − | 0.509381i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −24.2942 | + | 14.0263i | −1.05928 | + | 0.611575i | ||||
\(527\) | −6.19615 | − | 10.7321i | −0.269909 | − | 0.467495i | ||||
\(528\) | −4.73205 | −0.205936 | ||||||||
\(529\) | 7.69615 | + | 13.3301i | 0.334615 | + | 0.579571i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.92820 | − | 4.00000i | −0.300658 | − | 0.173585i | ||||
\(532\) | 0.928203i | 0.0402427i | ||||||||
\(533\) | 9.86603 | + | 39.8731i | 0.427345 | + | 1.72709i | ||||
\(534\) | 2.53590 | 0.109739 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 5.56218 | − | 9.63397i | 0.240249 | − | 0.416124i | ||||
\(537\) | 19.0981 | − | 11.0263i | 0.824143 | − | 0.475819i | ||||
\(538\) | −1.46410 | −0.0631219 | ||||||||
\(539\) | −26.4904 | + | 15.2942i | −1.14102 | + | 0.658769i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.3205i | 1.73351i | 0.498731 | + | 0.866757i | \(0.333800\pi\) | ||||
−0.498731 | + | 0.866757i | \(0.666200\pi\) | |||||||
\(542\) | −5.07180 | + | 2.92820i | −0.217852 | + | 0.125777i | ||||
\(543\) | 7.62436 | + | 4.40192i | 0.327192 | + | 0.188905i | ||||
\(544\) | −1.96410 | − | 1.13397i | −0.0842102 | − | 0.0486188i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.633975 | + | 2.56218i | 0.0271316 | + | 0.109651i | ||||
\(547\) | − | 6.19615i | − | 0.264928i | −0.991188 | − | 0.132464i | \(-0.957711\pi\) | ||
0.991188 | − | 0.132464i | \(-0.0422889\pi\) | |||||||
\(548\) | 0.964102 | − | 1.66987i | 0.0411844 | − | 0.0713334i | ||||
\(549\) | 0.598076 | − | 1.03590i | 0.0255253 | − | 0.0442111i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 3.12436i | − | 0.133102i | ||||||
\(552\) | −3.09808 | − | 5.36603i | −0.131863 | − | 0.228393i | ||||
\(553\) | −3.46410 | − | 6.00000i | −0.147309 | − | 0.255146i | ||||
\(554\) | 2.26795i | 0.0963559i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.92820 | + | 8.53590i | −0.209002 | + | 0.362003i | ||||
\(557\) | 15.1865 | − | 26.3038i | 0.643474 | − | 1.11453i | −0.341178 | − | 0.939999i | \(-0.610826\pi\) |
0.984652 | − | 0.174531i | \(-0.0558409\pi\) | |||||||
\(558\) | 5.46410i | 0.231314i | ||||||||
\(559\) | −26.5359 | − | 7.66025i | −1.12235 | − | 0.323994i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.29423 | − | 5.36603i | −0.392403 | − | 0.226554i | ||||
\(562\) | −19.3301 | − | 11.1603i | −0.815392 | − | 0.470767i | ||||
\(563\) | −18.2487 | + | 10.5359i | −0.769091 | + | 0.444035i | −0.832550 | − | 0.553949i | \(-0.813120\pi\) |
0.0634589 | + | 0.997984i | \(0.479787\pi\) | |||||||
\(564\) | − | 8.19615i | − | 0.345120i | ||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 7.22243 | − | 4.16987i | 0.303581 | − | 0.175273i | ||||
\(567\) | 0.732051 | 0.0307432 | ||||||||
\(568\) | 1.09808 | − | 0.633975i | 0.0460743 | − | 0.0266010i | ||||
\(569\) | 19.3205 | − | 33.4641i | 0.809958 | − | 1.40289i | −0.102935 | − | 0.994688i | \(-0.532823\pi\) |
0.912893 | − | 0.408200i | \(-0.133843\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 24.0526 | 1.00657 | 0.503284 | − | 0.864121i | \(-0.332125\pi\) | ||||
0.503284 | + | 0.864121i | \(0.332125\pi\) | |||||||
\(572\) | −12.2942 | + | 11.8301i | −0.514048 | + | 0.494642i | ||||
\(573\) | 6.92820i | 0.289430i | ||||||||
\(574\) | −7.22243 | − | 4.16987i | −0.301458 | − | 0.174047i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.500000 | + | 0.866025i | 0.0208333 | + | 0.0360844i | ||||
\(577\) | −0.267949 | −0.0111549 | −0.00557744 | − | 0.999984i | \(-0.501775\pi\) | ||||
−0.00557744 | + | 0.999984i | \(0.501775\pi\) | |||||||
\(578\) | 5.92820 | + | 10.2679i | 0.246581 | + | 0.427090i | ||||
\(579\) | 7.16025 | − | 4.13397i | 0.297570 | − | 0.171802i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.73205 | − | 6.46410i | −0.154832 | − | 0.268176i | ||||
\(582\) | 5.19615 | + | 3.00000i | 0.215387 | + | 0.124354i | ||||
\(583\) | 1.09808 | − | 1.90192i | 0.0454777 | − | 0.0787696i | ||||
\(584\) | −9.73205 | −0.402715 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −14.5167 | −0.599678 | ||||||||
\(587\) | 8.00000 | − | 13.8564i | 0.330195 | − | 0.571915i | −0.652355 | − | 0.757914i | \(-0.726219\pi\) |
0.982550 | + | 0.185999i | \(0.0595520\pi\) | |||||||
\(588\) | 5.59808 | + | 3.23205i | 0.230861 | + | 0.133288i | ||||
\(589\) | 3.46410 | + | 6.00000i | 0.142736 | + | 0.247226i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8.53590 | + | 4.92820i | −0.351120 | + | 0.202719i | ||||
\(592\) | −5.23205 | − | 9.06218i | −0.215036 | − | 0.372453i | ||||
\(593\) | 36.8564 | 1.51351 | 0.756756 | − | 0.653698i | \(-0.226783\pi\) | ||||
0.756756 | + | 0.653698i | \(0.226783\pi\) | |||||||
\(594\) | 2.36603 | + | 4.09808i | 0.0970792 | + | 0.168146i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.42820 | − | 1.40192i | −0.0994631 | − | 0.0574250i | ||||
\(597\) | − | 3.80385i | − | 0.155681i | ||||||
\(598\) | −21.4641 | − | 6.19615i | −0.877732 | − | 0.253380i | ||||
\(599\) | 9.46410 | 0.386693 | 0.193346 | − | 0.981131i | \(-0.438066\pi\) | ||||
0.193346 | + | 0.981131i | \(0.438066\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.96410 | − | 5.13397i | 0.120908 | − | 0.209419i | −0.799218 | − | 0.601041i | \(-0.794753\pi\) |
0.920126 | + | 0.391622i | \(0.128086\pi\) | |||||||
\(602\) | 4.85641 | − | 2.80385i | 0.197932 | − | 0.114276i | ||||
\(603\) | −11.1244 | −0.453019 | ||||||||
\(604\) | 2.83013 | − | 1.63397i | 0.115156 | − | 0.0664855i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | − | 11.9282i | − | 0.484550i | ||||||
\(607\) | −0.679492 | + | 0.392305i | −0.0275797 | + | 0.0159232i | −0.513726 | − | 0.857954i | \(-0.671735\pi\) |
0.486147 | + | 0.873877i | \(0.338402\pi\) | |||||||
\(608\) | 1.09808 | + | 0.633975i | 0.0445329 | + | 0.0257111i | ||||
\(609\) | 1.56218 | + | 0.901924i | 0.0633026 | + | 0.0365478i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −20.4904 | − | 21.2942i | −0.828952 | − | 0.861472i | ||||
\(612\) | 2.26795i | 0.0916764i | ||||||||
\(613\) | −5.69615 | + | 9.86603i | −0.230065 | + | 0.398485i | −0.957827 | − | 0.287345i | \(-0.907227\pi\) |
0.727762 | + | 0.685830i | \(0.240561\pi\) | |||||||
\(614\) | 4.29423 | − | 7.43782i | 0.173301 | − | 0.300166i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | − | 3.46410i | − | 0.139573i | ||||||
\(617\) | 17.6244 | + | 30.5263i | 0.709530 | + | 1.22894i | 0.965032 | + | 0.262133i | \(0.0844260\pi\) |
−0.255502 | + | 0.966809i | \(0.582241\pi\) | |||||||
\(618\) | −9.36603 | − | 16.2224i | −0.376757 | − | 0.652562i | ||||
\(619\) | − | 10.5359i | − | 0.423474i | −0.977327 | − | 0.211737i | \(-0.932088\pi\) | ||
0.977327 | − | 0.211737i | \(-0.0679119\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.09808 | + | 5.36603i | −0.124322 | + | 0.215331i | ||||
\(622\) | −7.83013 | + | 13.5622i | −0.313959 | + | 0.543794i | ||||
\(623\) | 1.85641i | 0.0743754i | ||||||||
\(624\) | 3.46410 | + | 1.00000i | 0.138675 | + | 0.0400320i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 11.6603 | + | 6.73205i | 0.466037 | + | 0.269067i | ||||
\(627\) | 5.19615 | + | 3.00000i | 0.207514 | + | 0.119808i | ||||
\(628\) | 20.4282 | − | 11.7942i | 0.815174 | − | 0.470641i | ||||
\(629\) | − | 23.7321i | − | 0.946259i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 41.3205 | − | 23.8564i | 1.64494 | − | 0.949709i | 0.665904 | − | 0.746037i | \(-0.268046\pi\) |
0.979039 | − | 0.203671i | \(-0.0652874\pi\) | |||||||
\(632\) | −9.46410 | −0.376462 | ||||||||
\(633\) | −3.80385 | + | 2.19615i | −0.151189 | + | 0.0872892i | ||||
\(634\) | −1.66987 | + | 2.89230i | −0.0663191 | + | 0.114868i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −0.464102 | −0.0184028 | ||||||||
\(637\) | 22.6244 | − | 5.59808i | 0.896410 | − | 0.221804i | ||||
\(638\) | 11.6603i | 0.461634i | ||||||||
\(639\) | −1.09808 | − | 0.633975i | −0.0434392 | − | 0.0250796i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 12.9904 | + | 22.5000i | 0.513089 | + | 0.888697i | 0.999885 | + | 0.0151806i | \(0.00483233\pi\) |
−0.486796 | + | 0.873516i | \(0.661834\pi\) | |||||||
\(642\) | 0.196152 | 0.00774152 | ||||||||
\(643\) | −6.92820 | − | 12.0000i | −0.273222 | − | 0.473234i | 0.696463 | − | 0.717592i | \(-0.254756\pi\) |
−0.969685 | + | 0.244359i | \(0.921423\pi\) | |||||||
\(644\) | 3.92820 | − | 2.26795i | 0.154793 | − | 0.0893697i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.43782 | + | 2.49038i | 0.0565704 | + | 0.0979827i | ||||
\(647\) | −22.7321 | − | 13.1244i | −0.893689 | − | 0.515972i | −0.0185417 | − | 0.999828i | \(-0.505902\pi\) |
−0.875147 | + | 0.483856i | \(0.839236\pi\) | |||||||
\(648\) | 0.500000 | − | 0.866025i | 0.0196419 | − | 0.0340207i | ||||
\(649\) | 37.8564 | 1.48599 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.00000 | −0.156772 | ||||||||
\(652\) | −3.26795 | + | 5.66025i | −0.127983 | + | 0.221673i | ||||
\(653\) | 9.12436 | + | 5.26795i | 0.357064 | + | 0.206151i | 0.667792 | − | 0.744348i | \(-0.267240\pi\) |
−0.310728 | + | 0.950499i | \(0.600573\pi\) | |||||||
\(654\) | 2.73205 | + | 4.73205i | 0.106832 | + | 0.185038i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −9.86603 | + | 5.69615i | −0.385204 | + | 0.222397i | ||||
\(657\) | 4.86603 | + | 8.42820i | 0.189842 | + | 0.328816i | ||||
\(658\) | 6.00000 | 0.233904 | ||||||||
\(659\) | 19.1244 | + | 33.1244i | 0.744979 | + | 1.29034i | 0.950205 | + | 0.311627i | \(0.100874\pi\) |
−0.205225 | + | 0.978715i | \(0.565793\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 8.13397 | + | 4.69615i | 0.316375 | + | 0.182659i | 0.649776 | − | 0.760126i | \(-0.274863\pi\) |
−0.333401 | + | 0.942785i | \(0.608196\pi\) | |||||||
\(662\) | 20.0000i | 0.777322i | ||||||||
\(663\) | 5.66987 | + | 5.89230i | 0.220200 | + | 0.228838i | ||||
\(664\) | −10.1962 | −0.395687 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −5.23205 | + | 9.06218i | −0.202738 | + | 0.351152i | ||||
\(667\) | −13.2224 | + | 7.63397i | −0.511975 | + | 0.295589i | ||||
\(668\) | −2.53590 | −0.0981169 | ||||||||
\(669\) | −11.3205 | + | 6.53590i | −0.437676 | + | 0.252692i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.66025i | 0.218512i | ||||||||
\(672\) | −0.633975 | + | 0.366025i | −0.0244561 | + | 0.0141197i | ||||
\(673\) | 12.1865 | + | 7.03590i | 0.469756 | + | 0.271214i | 0.716138 | − | 0.697959i | \(-0.245908\pi\) |
−0.246381 | + | 0.969173i | \(0.579242\pi\) | |||||||
\(674\) | 5.93782 | + | 3.42820i | 0.228716 | + | 0.132049i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 11.5000 | − | 6.06218i | 0.442308 | − | 0.233161i | ||||
\(677\) | 38.5359i | 1.48105i | 0.672026 | + | 0.740527i | \(0.265424\pi\) | ||||
−0.672026 | + | 0.740527i | \(0.734576\pi\) | |||||||
\(678\) | 9.33013 | − | 16.1603i | 0.358321 | − | 0.620631i | ||||
\(679\) | −2.19615 | + | 3.80385i | −0.0842806 | + | 0.145978i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 1.80385i | 0.0691236i | ||||||||
\(682\) | −12.9282 | − | 22.3923i | −0.495046 | − | 0.857446i | ||||
\(683\) | −18.9282 | − | 32.7846i | −0.724268 | − | 1.25447i | −0.959275 | − | 0.282475i | \(-0.908845\pi\) |
0.235007 | − | 0.971994i | \(-0.424489\pi\) | |||||||
\(684\) | − | 1.26795i | − | 0.0484812i | ||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −4.92820 | + | 8.53590i | −0.188160 | + | 0.325902i | ||||
\(687\) | −7.92820 | + | 13.7321i | −0.302480 | + | 0.523910i | ||||
\(688\) | − | 7.66025i | − | 0.292044i | ||||||
\(689\) | −1.20577 | + | 1.16025i | −0.0459362 | + | 0.0442022i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.8109 | + | 13.1699i | 0.867767 | + | 0.501006i | 0.866606 | − | 0.498994i | \(-0.166297\pi\) |
0.00116153 | + | 0.999999i | \(0.499630\pi\) | |||||||
\(692\) | −14.1962 | − | 8.19615i | −0.539657 | − | 0.311571i | ||||
\(693\) | −3.00000 | + | 1.73205i | −0.113961 | + | 0.0657952i | ||||
\(694\) | 8.87564i | 0.336915i | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.13397 | − | 1.23205i | 0.0808881 | − | 0.0467008i | ||||
\(697\) | −25.8372 | −0.978653 | ||||||||
\(698\) | −16.7321 | + | 9.66025i | −0.633317 | + | 0.365646i | ||||
\(699\) | −9.92820 | + | 17.1962i | −0.375519 | + | 0.650418i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −31.3205 | −1.18296 | −0.591480 | − | 0.806320i | \(-0.701456\pi\) | ||||
−0.591480 | + | 0.806320i | \(0.701456\pi\) | |||||||
\(702\) | −0.866025 | − | 3.50000i | −0.0326860 | − | 0.132099i | ||||
\(703\) | 13.2679i | 0.500410i | ||||||||
\(704\) | −4.09808 | − | 2.36603i | −0.154452 | − | 0.0891729i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 9.89230 | + | 17.1340i | 0.372302 | + | 0.644846i | ||||
\(707\) | 8.73205 | 0.328403 | ||||||||
\(708\) | −4.00000 | − | 6.92820i | −0.150329 | − | 0.260378i | ||||
\(709\) | −35.3827 | + | 20.4282i | −1.32882 | + | 0.767197i | −0.985118 | − | 0.171880i | \(-0.945016\pi\) |
−0.343707 | + | 0.939077i | \(0.611683\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 4.73205 | + | 8.19615i | 0.177466 | + | 0.307380i | ||||
\(712\) | 2.19615 | + | 1.26795i | 0.0823043 | + | 0.0475184i | ||||
\(713\) | 16.9282 | − | 29.3205i | 0.633966 | − | 1.09806i | ||||
\(714\) | −1.66025 | −0.0621334 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 22.0526 | 0.824143 | ||||||||
\(717\) | −4.83013 | + | 8.36603i | −0.180384 | + | 0.312435i | ||||
\(718\) | −20.0263 | − | 11.5622i | −0.747374 | − | 0.431497i | ||||
\(719\) | 11.2679 | + | 19.5167i | 0.420224 | + | 0.727849i | 0.995961 | − | 0.0897860i | \(-0.0286183\pi\) |
−0.575737 | + | 0.817635i | \(0.695285\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 11.8756 | − | 6.85641i | 0.442272 | − | 0.255346i | ||||
\(722\) | 8.69615 | + | 15.0622i | 0.323637 | + | 0.560556i | ||||
\(723\) | 17.5885 | 0.654122 | ||||||||
\(724\) | 4.40192 | + | 7.62436i | 0.163596 | + | 0.283357i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −9.86603 | − | 5.69615i | −0.366163 | − | 0.211404i | ||||
\(727\) | 20.9808i | 0.778133i | 0.921210 | + | 0.389067i | \(0.127202\pi\) | ||||
−0.921210 | + | 0.389067i | \(0.872798\pi\) | |||||||
\(728\) | −0.732051 | + | 2.53590i | −0.0271316 | + | 0.0939866i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.68653 | − | 15.0455i | 0.321283 | − | 0.556479i | ||||
\(732\) | 1.03590 | − | 0.598076i | 0.0382879 | − | 0.0221055i | ||||
\(733\) | 19.0000 | 0.701781 | 0.350891 | − | 0.936416i | \(-0.385879\pi\) | ||||
0.350891 | + | 0.936416i | \(0.385879\pi\) | |||||||
\(734\) | −12.7583 | + | 7.36603i | −0.470919 | + | 0.271885i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 6.19615i | − | 0.228393i | ||||||
\(737\) | 45.5885 | − | 26.3205i | 1.67927 | − | 0.969528i | ||||
\(738\) | 9.86603 | + | 5.69615i | 0.363173 | + | 0.209678i | ||||
\(739\) | −9.46410 | − | 5.46410i | −0.348143 | − | 0.201000i | 0.315724 | − | 0.948851i | \(-0.397753\pi\) |
−0.663867 | + | 0.747851i | \(0.731086\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.16987 | − | 3.29423i | −0.116448 | − | 0.121017i | ||||
\(742\) | − | 0.339746i | − | 0.0124725i | ||||||
\(743\) | 13.8038 | − | 23.9090i | 0.506414 | − | 0.877135i | −0.493558 | − | 0.869713i | \(-0.664304\pi\) |
0.999972 | − | 0.00742221i | \(-0.00236259\pi\) | |||||||
\(744\) | −2.73205 | + | 4.73205i | −0.100162 | + | 0.173485i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 10.2679i | 0.375936i | ||||||||
\(747\) | 5.09808 | + | 8.83013i | 0.186529 | + | 0.323077i | ||||
\(748\) | −5.36603 | − | 9.29423i | −0.196201 | − | 0.339831i | ||||
\(749\) | 0.143594i | 0.00524679i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.95448 | − | 13.7776i | 0.290263 | − | 0.502751i | −0.683609 | − | 0.729849i | \(-0.739590\pi\) |
0.973872 | + | 0.227098i | \(0.0729238\pi\) | |||||||
\(752\) | 4.09808 | − | 7.09808i | 0.149441 | − | 0.258840i | ||||
\(753\) | − | 6.53590i | − | 0.238181i | ||||||
\(754\) | 2.46410 | − | 8.53590i | 0.0897373 | − | 0.310859i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0.633975 | + | 0.366025i | 0.0230574 | + | 0.0133122i | ||||
\(757\) | 6.12436 | + | 3.53590i | 0.222593 | + | 0.128514i | 0.607151 | − | 0.794587i | \(-0.292312\pi\) |
−0.384557 | + | 0.923101i | \(0.625646\pi\) | |||||||
\(758\) | −1.26795 | + | 0.732051i | −0.0460540 | + | 0.0265893i | ||||
\(759\) | − | 29.3205i | − | 1.06427i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −20.1962 | + | 11.6603i | −0.732110 | + | 0.422684i | −0.819194 | − | 0.573517i | \(-0.805579\pi\) |
0.0870836 | + | 0.996201i | \(0.472245\pi\) | |||||||
\(762\) | 17.8564 | 0.646869 | ||||||||
\(763\) | −3.46410 | + | 2.00000i | −0.125409 | + | 0.0724049i | ||||
\(764\) | −3.46410 | + | 6.00000i | −0.125327 | + | 0.217072i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.46410 | −0.197426 | ||||||||
\(767\) | −27.7128 | − | 8.00000i | −1.00065 | − | 0.288863i | ||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 13.9808 | + | 8.07180i | 0.504159 | + | 0.291076i | 0.730429 | − | 0.682988i | \(-0.239320\pi\) |
−0.226270 | + | 0.974065i | \(0.572653\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 13.3301 | + | 23.0885i | 0.480073 | + | 0.831510i | ||||
\(772\) | 8.26795 | 0.297570 | ||||||||
\(773\) | 17.5359 | + | 30.3731i | 0.630722 | + | 1.09244i | 0.987404 | + | 0.158217i | \(0.0505747\pi\) |
−0.356682 | + | 0.934226i | \(0.616092\pi\) | |||||||
\(774\) | −6.63397 | + | 3.83013i | −0.238453 | + | 0.137671i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 3.00000 | + | 5.19615i | 0.107694 | + | 0.186531i | ||||
\(777\) | −6.63397 | − | 3.83013i | −0.237993 | − | 0.137405i | ||||
\(778\) | −14.8923 | + | 25.7942i | −0.533915 | + | 0.924768i | ||||
\(779\) | 14.4449 | 0.517541 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 6.00000 | 0.214697 | ||||||||
\(782\) | 7.02628 | − | 12.1699i | 0.251259 | − | 0.435194i | ||||
\(783\) | −2.13397 | − | 1.23205i | −0.0762620 | − | 0.0440299i | ||||
\(784\) | 3.23205 | + | 5.59808i | 0.115430 | + | 0.199931i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −11.6603 | + | 6.73205i | −0.415907 | + | 0.240124i | ||||
\(787\) | −19.6603 | − | 34.0526i | −0.700812 | − | 1.21384i | −0.968182 | − | 0.250248i | \(-0.919488\pi\) |
0.267369 | − | 0.963594i | \(-0.413846\pi\) | |||||||
\(788\) | −9.85641 | −0.351120 | ||||||||
\(789\) | 14.0263 | + | 24.2942i | 0.499349 | + | 0.864897i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 11.8301 | + | 6.83013i | 0.420631 | + | 0.242851i | ||||
\(792\) | 4.73205i | 0.168146i | ||||||||
\(793\) | 1.19615 | − | 4.14359i | 0.0424766 | − | 0.147143i | ||||
\(794\) | 0.392305 | 0.0139224 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 1.90192 | − | 3.29423i | 0.0674119 | − | 0.116761i | ||||
\(797\) | −29.4449 | + | 17.0000i | −1.04299 | + | 0.602171i | −0.920679 | − | 0.390321i | \(-0.872364\pi\) |
−0.122312 | + | 0.992492i | \(0.539031\pi\) | |||||||
\(798\) | 0.928203 | 0.0328580 | ||||||||
\(799\) | 16.0981 | − | 9.29423i | 0.569509 | − | 0.328806i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 2.53590i | − | 0.0896016i | ||||||
\(802\) | −18.9904 | + | 10.9641i | −0.670574 | + | 0.387156i | ||||
\(803\) | −39.8827 | − | 23.0263i | −1.40743 | − | 0.812580i | ||||
\(804\) | −9.63397 | − | 5.56218i | −0.339764 | − | 0.196163i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.73205 | + | 19.1244i | 0.166679 | + | 0.673627i | ||||
\(807\) | 1.46410i | 0.0515388i | ||||||||
\(808\) | 5.96410 | − | 10.3301i | 0.209816 | − | 0.363413i | ||||
\(809\) | −11.2058 | + | 19.4090i | −0.393974 | + | 0.682383i | −0.992970 | − | 0.118369i | \(-0.962233\pi\) |
0.598996 | + | 0.800752i | \(0.295567\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 45.1769i | 1.58638i | 0.608977 | + | 0.793188i | \(0.291580\pi\) | ||||
−0.608977 | + | 0.793188i | \(0.708420\pi\) | |||||||
\(812\) | 0.901924 | + | 1.56218i | 0.0316513 | + | 0.0548217i | ||||
\(813\) | 2.92820 | + | 5.07180i | 0.102697 | + | 0.177876i | ||||
\(814\) | − | 49.5167i | − | 1.73556i | ||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −1.13397 | + | 1.96410i | −0.0396971 | + | 0.0687573i | ||||
\(817\) | −4.85641 | + | 8.41154i | −0.169904 | + | 0.294283i | ||||
\(818\) | − | 14.2679i | − | 0.498867i | ||||||
\(819\) | 2.56218 | − | 0.633975i | 0.0895297 | − | 0.0221529i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 11.1962 | + | 6.46410i | 0.390748 | + | 0.225599i | 0.682484 | − | 0.730900i | \(-0.260900\pi\) |
−0.291736 | + | 0.956499i | \(0.594233\pi\) | |||||||
\(822\) | −1.66987 | − | 0.964102i | −0.0582435 | − | 0.0336269i | ||||
\(823\) | 36.0000 | − | 20.7846i | 1.25488 | − | 0.724506i | 0.282806 | − | 0.959177i | \(-0.408735\pi\) |
0.972075 | + | 0.234671i | \(0.0754013\pi\) | |||||||
\(824\) | − | 18.7321i | − | 0.652562i | ||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.07180 | − | 2.92820i | 0.176470 | − | 0.101885i | ||||
\(827\) | 33.4641 | 1.16366 | 0.581830 | − | 0.813310i | \(-0.302337\pi\) | ||||
0.581830 | + | 0.813310i | \(0.302337\pi\) | |||||||
\(828\) | −5.36603 | + | 3.09808i | −0.186482 | + | 0.107666i | ||||
\(829\) | −6.06218 | + | 10.5000i | −0.210548 | + | 0.364680i | −0.951886 | − | 0.306452i | \(-0.900858\pi\) |
0.741338 | + | 0.671132i | \(0.234192\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 2.26795 | 0.0786743 | ||||||||
\(832\) | 2.50000 | + | 2.59808i | 0.0866719 | + | 0.0900721i | ||||
\(833\) | 14.6603i | 0.507948i | ||||||||
\(834\) | 8.53590 | + | 4.92820i | 0.295574 | + | 0.170650i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 3.00000 | + | 5.19615i | 0.103757 | + | 0.179713i | ||||
\(837\) | 5.46410 | 0.188867 | ||||||||
\(838\) | 5.26795 | + | 9.12436i | 0.181978 | + | 0.315196i | ||||
\(839\) | −12.2487 | + | 7.07180i | −0.422872 | + | 0.244146i | −0.696306 | − | 0.717745i | \(-0.745174\pi\) |
0.273433 | + | 0.961891i | \(0.411841\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.4641 | + | 19.8564i | 0.395314 | + | 0.684704i | ||||
\(842\) | −28.3301 | − | 16.3564i | −0.976321 | − | 0.563679i | ||||
\(843\) | −11.1603 | + | 19.3301i | −0.384380 | + | 0.665765i | ||||
\(844\) | −4.39230 | −0.151189 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −8.19615 | −0.281790 | ||||||||
\(847\) | 4.16987 | − | 7.22243i | 0.143279 | − | 0.248166i | ||||
\(848\) | −0.401924 | − | 0.232051i | −0.0138021 | − | 0.00796866i | ||||
\(849\) | −4.16987 | − | 7.22243i | −0.143110 | − | 0.247873i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 56.1506 | − | 32.4186i | 1.92482 | − | 1.11129i | ||||
\(852\) | −0.633975 | − | 1.09808i | −0.0217196 | − | 0.0376195i | ||||
\(853\) | −8.17691 | −0.279972 | −0.139986 | − | 0.990153i | \(-0.544706\pi\) | ||||
−0.139986 | + | 0.990153i | \(0.544706\pi\) | |||||||
\(854\) | 0.437822 | + | 0.758330i | 0.0149820 | + | 0.0259495i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.169873 | + | 0.0980762i | 0.00580614 | + | 0.00335218i | ||||
\(857\) | − | 19.4449i | − | 0.664224i | −0.943240 | − | 0.332112i | \(-0.892239\pi\) | ||
0.943240 | − | 0.332112i | \(-0.107761\pi\) | |||||||
\(858\) | 11.8301 | + | 12.2942i | 0.403874 | + | 0.419718i | ||||
\(859\) | 22.8756 | 0.780507 | 0.390253 | − | 0.920707i | \(-0.372387\pi\) | ||||
0.390253 | + | 0.920707i | \(0.372387\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −4.16987 | + | 7.22243i | −0.142109 | + | 0.246140i | ||||
\(862\) | −9.63397 | + | 5.56218i | −0.328134 | + | 0.189449i | ||||
\(863\) | 7.12436 | 0.242516 | 0.121258 | − | 0.992621i | \(-0.461307\pi\) | ||||
0.121258 | + | 0.992621i | \(0.461307\pi\) | |||||||
\(864\) | 0.866025 | − | 0.500000i | 0.0294628 | − | 0.0170103i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | − | 14.8564i | − | 0.504841i | ||||||
\(867\) | 10.2679 | − | 5.92820i | 0.348718 | − | 0.201332i | ||||
\(868\) | −3.46410 | − | 2.00000i | −0.117579 | − | 0.0678844i | ||||
\(869\) | −38.7846 | − | 22.3923i | −1.31568 | − | 0.759607i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −38.9352 | + | 9.63397i | −1.31927 | + | 0.326435i | ||||
\(872\) | 5.46410i | 0.185038i | ||||||||
\(873\) | 3.00000 | − | 5.19615i | 0.101535 | − | 0.175863i | ||||
\(874\) | −3.92820 | + | 6.80385i | −0.132873 | + | 0.230144i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 9.73205i | 0.328816i | ||||||||
\(877\) | 5.03590 | + | 8.72243i | 0.170050 | + | 0.294536i | 0.938437 | − | 0.345450i | \(-0.112274\pi\) |
−0.768387 | + | 0.639985i | \(0.778940\pi\) | |||||||
\(878\) | −8.83013 | − | 15.2942i | −0.298002 | − | 0.516155i | ||||
\(879\) | 14.5167i | 0.489635i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 25.9186 | − | 44.8923i | 0.873219 | − | 1.51246i | 0.0145717 | − | 0.999894i | \(-0.495362\pi\) |
0.858648 | − | 0.512566i | \(-0.171305\pi\) | |||||||
\(882\) | 3.23205 | − | 5.59808i | 0.108829 | − | 0.188497i | ||||
\(883\) | − | 29.0718i | − | 0.978344i | −0.872187 | − | 0.489172i | \(-0.837299\pi\) | ||
0.872187 | − | 0.489172i | \(-0.162701\pi\) | |||||||
\(884\) | 1.96410 | + | 7.93782i | 0.0660599 | + | 0.266978i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 31.5167 | + | 18.1962i | 1.05882 | + | 0.611312i | ||||
\(887\) | 8.78461 | + | 5.07180i | 0.294958 | + | 0.170294i | 0.640176 | − | 0.768228i | \(-0.278862\pi\) |
−0.345217 | + | 0.938523i | \(0.612195\pi\) | |||||||
\(888\) | −9.06218 | + | 5.23205i | −0.304107 | + | 0.175576i | ||||
\(889\) | 13.0718i | 0.438414i | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.09808 | − | 2.36603i | 0.137291 | − | 0.0792648i | ||||
\(892\) | −13.0718 | −0.437676 | ||||||||
\(893\) | −9.00000 | + | 5.19615i | −0.301174 | + | 0.173883i | ||||
\(894\) | −1.40192 | + | 2.42820i | −0.0468873 | + | 0.0812113i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.732051 | −0.0244561 | ||||||||
\(897\) | −6.19615 | + | 21.4641i | −0.206884 | + | 0.716665i | ||||
\(898\) | − | 23.3205i | − | 0.778215i | ||||||
\(899\) | 11.6603 | + | 6.73205i | 0.388891 | + | 0.224526i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.526279 | − | 0.911543i | −0.0175329 | − | 0.0303679i | ||||
\(902\) | −53.9090 | −1.79497 | ||||||||
\(903\) | −2.80385 | − | 4.85641i | −0.0933062 | − | 0.161611i | ||||
\(904\) | 16.1603 | − | 9.33013i | 0.537482 | − | 0.310315i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.63397 | − | 2.83013i | −0.0542852 | − | 0.0940247i | ||||
\(907\) | −13.5167 | − | 7.80385i | −0.448813 | − | 0.259123i | 0.258516 | − | 0.966007i | \(-0.416767\pi\) |
−0.707329 | + | 0.706885i | \(0.750100\pi\) | |||||||
\(908\) | −0.901924 | + | 1.56218i | −0.0299314 | + | 0.0518427i | ||||
\(909\) | −11.9282 | −0.395634 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −9.46410 | −0.313560 | −0.156780 | − | 0.987634i | \(-0.550111\pi\) | ||||
−0.156780 | + | 0.987634i | \(0.550111\pi\) | |||||||
\(912\) | 0.633975 | − | 1.09808i | 0.0209930 | − | 0.0363609i | ||||
\(913\) | −41.7846 | − | 24.1244i | −1.38287 | − | 0.798400i | ||||
\(914\) | −9.33013 | − | 16.1603i | −0.308613 | − | 0.534534i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −13.7321 | + | 7.92820i | −0.453720 | + | 0.261955i | ||||
\(917\) | −4.92820 | − | 8.53590i | −0.162744 | − | 0.281880i | ||||
\(918\) | 2.26795 | 0.0748535 | ||||||||
\(919\) | −28.9808 | − | 50.1962i | −0.955987 | − | 1.65582i | −0.732093 | − | 0.681205i | \(-0.761456\pi\) |
−0.223894 | − | 0.974613i | \(-0.571877\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.43782 | − | 4.29423i | −0.245085 | − | 0.141500i | ||||
\(922\) | 25.7321i | 0.847440i | ||||||||
\(923\) | −4.39230 | − | 1.26795i | −0.144574 | − | 0.0417351i | ||||
\(924\) | −3.46410 | −0.113961 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 14.0263 | − | 24.2942i | 0.460932 | − | 0.798358i | ||||
\(927\) | −16.2224 | + | 9.36603i | −0.532815 | + | 0.307621i | ||||
\(928\) | 2.46410 | 0.0808881 | ||||||||
\(929\) | 8.00962 | − | 4.62436i | 0.262787 | − | 0.151720i | −0.362818 | − | 0.931860i | \(-0.618185\pi\) |
0.625605 | + | 0.780140i | \(0.284852\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 8.19615i | − | 0.268618i | ||||||
\(932\) | −17.1962 | + | 9.92820i | −0.563279 | + | 0.325209i | ||||
\(933\) | 13.5622 | + | 7.83013i | 0.444006 | + | 0.256347i | ||||
\(934\) | −10.9019 | − | 6.29423i | −0.356722 | − | 0.205953i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 1.00000 | − | 3.46410i | 0.0326860 | − | 0.113228i | ||||
\(937\) | − | 43.2487i | − | 1.41287i | −0.707776 | − | 0.706437i | \(-0.750301\pi\) | ||
0.707776 | − | 0.706437i | \(-0.249699\pi\) | |||||||
\(938\) | 4.07180 | − | 7.05256i | 0.132949 | − | 0.230274i | ||||
\(939\) | 6.73205 | − | 11.6603i | 0.219692 | − | 0.380518i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 56.6410i | 1.84644i | 0.384267 | + | 0.923222i | \(0.374454\pi\) | ||||
−0.384267 | + | 0.923222i | \(0.625546\pi\) | |||||||
\(942\) | −11.7942 | − | 20.4282i | −0.384277 | − | 0.665587i | ||||
\(943\) | −35.2942 | − | 61.1314i | −1.14934 | − | 1.99071i | ||||
\(944\) | − | 8.00000i | − | 0.260378i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 18.1244 | − | 31.3923i | 0.589274 | − | 1.02065i | ||||
\(947\) | −17.4641 | + | 30.2487i | −0.567507 | + | 0.982951i | 0.429305 | + | 0.903160i | \(0.358759\pi\) |
−0.996812 | + | 0.0797913i | \(0.974575\pi\) | |||||||
\(948\) | 9.46410i | 0.307380i | ||||||||
\(949\) | 24.3301 | + | 25.2846i | 0.789789 | + | 0.820773i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.89230 | + | 1.66987i | 0.0937894 | + | 0.0541493i | ||||
\(952\) | −1.43782 | − | 0.830127i | −0.0466001 | − | 0.0269046i | ||||
\(953\) | 36.0000 | − | 20.7846i | 1.16615 | − | 0.673280i | 0.213383 | − | 0.976969i | \(-0.431552\pi\) |
0.952771 | + | 0.303689i | \(0.0982184\pi\) | |||||||
\(954\) | 0.464102i | 0.0150258i | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −8.36603 | + | 4.83013i | −0.270577 | + | 0.156217i | ||||
\(957\) | 11.6603 | 0.376922 | ||||||||
\(958\) | 22.9808 | − | 13.2679i | 0.742475 | − | 0.428668i | ||||
\(959\) | 0.705771 | − | 1.22243i | 0.0227905 | − | 0.0394744i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.14359 | 0.0368901 | ||||||||
\(962\) | −10.4641 | + | 36.2487i | −0.337376 | + | 1.16871i | ||||
\(963\) | − | 0.196152i | − | 0.00632092i | ||||||
\(964\) | 15.2321 | + | 8.79423i | 0.490591 | + | 0.283243i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −2.26795 | − | 3.92820i | −0.0729701 | − | 0.126388i | ||||
\(967\) | 18.8756 | 0.607000 | 0.303500 | − | 0.952831i | \(-0.401845\pi\) | ||||
0.303500 | + | 0.952831i | \(0.401845\pi\) | |||||||
\(968\) | −5.69615 | − | 9.86603i | −0.183081 | − | 0.317106i | ||||
\(969\) | 2.49038 | − | 1.43782i | 0.0800026 | − | 0.0461895i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 9.12436 | + | 15.8038i | 0.292815 | + | 0.507170i | 0.974474 | − | 0.224500i | \(-0.0720748\pi\) |
−0.681660 | + | 0.731669i | \(0.738741\pi\) | |||||||
\(972\) | −0.866025 | − | 0.500000i | −0.0277778 | − | 0.0160375i | ||||
\(973\) | −3.60770 | + | 6.24871i | −0.115657 | + | 0.200324i | ||||
\(974\) | 21.1244 | 0.676868 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.19615 | 0.0382879 | ||||||||
\(977\) | 16.0359 | − | 27.7750i | 0.513034 | − | 0.888601i | −0.486852 | − | 0.873485i | \(-0.661855\pi\) |
0.999886 | − | 0.0151161i | \(-0.00481180\pi\) | |||||||
\(978\) | 5.66025 | + | 3.26795i | 0.180995 | + | 0.104497i | ||||
\(979\) | 6.00000 | + | 10.3923i | 0.191761 | + | 0.332140i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.73205 | − | 2.73205i | 0.151083 | − | 0.0872277i | ||||
\(982\) | −2.63397 | − | 4.56218i | −0.0840535 | − | 0.145585i | ||||
\(983\) | 20.7846 | 0.662926 | 0.331463 | − | 0.943468i | \(-0.392458\pi\) | ||||
0.331463 | + | 0.943468i | \(0.392458\pi\) | |||||||
\(984\) | 5.69615 | + | 9.86603i | 0.181587 | + | 0.314517i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 4.83975 | + | 2.79423i | 0.154129 | + | 0.0889864i | ||||
\(987\) | − | 6.00000i | − | 0.190982i | ||||||
\(988\) | −1.09808 | − | 4.43782i | −0.0349345 | − | 0.141186i | ||||
\(989\) | 47.4641 | 1.50927 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.29423 | − | 7.43782i | 0.136411 | − | 0.236270i | −0.789725 | − | 0.613461i | \(-0.789777\pi\) |
0.926135 | + | 0.377191i | \(0.123110\pi\) | |||||||
\(992\) | −4.73205 | + | 2.73205i | −0.150243 | + | 0.0867427i | ||||
\(993\) | 20.0000 | 0.634681 | ||||||||
\(994\) | 0.803848 | − | 0.464102i | 0.0254965 | − | 0.0147204i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 10.1962i | 0.323077i | ||||||||
\(997\) | −33.4808 | + | 19.3301i | −1.06035 | + | 0.612191i | −0.925528 | − | 0.378679i | \(-0.876378\pi\) |
−0.134818 | + | 0.990870i | \(0.543045\pi\) | |||||||
\(998\) | 27.7128 | + | 16.0000i | 0.877234 | + | 0.506471i | ||||
\(999\) | 9.06218 | + | 5.23205i | 0.286715 | + | 0.165535i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))