Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1365,2,Mod(274,1365)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1365, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 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("1365.274");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1365 = 3 \cdot 5 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1365.f (of order \(2\), degree \(1\), 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: | \(10.8995798759\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - x^{6} + x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 274.2 | ||
Root | \(0.587785 - 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1365.274 |
Dual form | 1365.2.f.c.274.8 |
$q$-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 \(\left(\mathbb{Z}/1365\mathbb{Z}\right)^\times\).
\(n\) | \(106\) | \(547\) | \(911\) | \(976\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.61803i | − | 1.14412i | −0.820211 | − | 0.572061i | \(-0.806144\pi\) | ||
0.820211 | − | 0.572061i | \(-0.193856\pi\) | |||||||
\(3\) | − | 1.00000i | − | 0.577350i | ||||||
\(4\) | −0.618034 | −0.309017 | ||||||||
\(5\) | 1.90211 | + | 1.17557i | 0.850651 | + | 0.525731i | ||||
\(6\) | −1.61803 | −0.660560 | ||||||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | − | 2.23607i | − | 0.790569i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 1.90211 | − | 3.07768i | 0.601501 | − | 0.973249i | ||||
\(11\) | 2.80423 | 0.845506 | 0.422753 | − | 0.906245i | \(-0.361064\pi\) | ||||
0.422753 | + | 0.906245i | \(0.361064\pi\) | |||||||
\(12\) | 0.618034i | 0.178411i | ||||||||
\(13\) | − | 1.00000i | − | 0.277350i | ||||||
\(14\) | 1.61803 | 0.432438 | ||||||||
\(15\) | 1.17557 | − | 1.90211i | 0.303531 | − | 0.491123i | ||||
\(16\) | −4.85410 | −1.21353 | ||||||||
\(17\) | − | 2.01062i | − | 0.487647i | −0.969820 | − | 0.243824i | \(-0.921598\pi\) | ||
0.969820 | − | 0.243824i | \(-0.0784018\pi\) | |||||||
\(18\) | 1.61803i | 0.381374i | ||||||||
\(19\) | 2.34458 | 0.537883 | 0.268941 | − | 0.963157i | \(-0.413326\pi\) | ||||
0.268941 | + | 0.963157i | \(0.413326\pi\) | |||||||
\(20\) | −1.17557 | − | 0.726543i | −0.262866 | − | 0.162460i | ||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | − | 4.53733i | − | 0.967363i | ||||||
\(23\) | 0.939503i | 0.195900i | 0.995191 | + | 0.0979499i | \(0.0312285\pi\) | ||||
−0.995191 | + | 0.0979499i | \(0.968772\pi\) | |||||||
\(24\) | −2.23607 | −0.456435 | ||||||||
\(25\) | 2.23607 | + | 4.47214i | 0.447214 | + | 0.894427i | ||||
\(26\) | −1.61803 | −0.317323 | ||||||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | − | 0.618034i | − | 0.116797i | ||||||
\(29\) | 5.69572 | 1.05767 | 0.528834 | − | 0.848725i | \(-0.322629\pi\) | ||||
0.528834 | + | 0.848725i | \(0.322629\pi\) | |||||||
\(30\) | −3.07768 | − | 1.90211i | −0.561906 | − | 0.347277i | ||||
\(31\) | 0.895549 | 0.160845 | 0.0804226 | − | 0.996761i | \(-0.474373\pi\) | ||||
0.0804226 | + | 0.996761i | \(0.474373\pi\) | |||||||
\(32\) | 3.38197i | 0.597853i | ||||||||
\(33\) | − | 2.80423i | − | 0.488153i | ||||||
\(34\) | −3.25325 | −0.557928 | ||||||||
\(35\) | −1.17557 | + | 1.90211i | −0.198708 | + | 0.321516i | ||||
\(36\) | 0.618034 | 0.103006 | ||||||||
\(37\) | − | 5.52015i | − | 0.907507i | −0.891127 | − | 0.453753i | \(-0.850085\pi\) | ||
0.891127 | − | 0.453753i | \(-0.149915\pi\) | |||||||
\(38\) | − | 3.79360i | − | 0.615404i | ||||||
\(39\) | −1.00000 | −0.160128 | ||||||||
\(40\) | 2.62866 | − | 4.25325i | 0.415627 | − | 0.672499i | ||||
\(41\) | 3.07768 | 0.480653 | 0.240327 | − | 0.970692i | \(-0.422745\pi\) | ||||
0.240327 | + | 0.970692i | \(0.422745\pi\) | |||||||
\(42\) | − | 1.61803i | − | 0.249668i | ||||||
\(43\) | − | 5.12454i | − | 0.781485i | −0.920500 | − | 0.390743i | \(-0.872218\pi\) | ||
0.920500 | − | 0.390743i | \(-0.127782\pi\) | |||||||
\(44\) | −1.73311 | −0.261276 | ||||||||
\(45\) | −1.90211 | − | 1.17557i | −0.283550 | − | 0.175244i | ||||
\(46\) | 1.52015 | 0.224133 | ||||||||
\(47\) | − | 5.96261i | − | 0.869736i | −0.900494 | − | 0.434868i | \(-0.856795\pi\) | ||
0.900494 | − | 0.434868i | \(-0.143205\pi\) | |||||||
\(48\) | 4.85410i | 0.700629i | ||||||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 7.23607 | − | 3.61803i | 1.02333 | − | 0.511667i | ||||
\(51\) | −2.01062 | −0.281543 | ||||||||
\(52\) | 0.618034i | 0.0857059i | ||||||||
\(53\) | 1.30313i | 0.178999i | 0.995987 | + | 0.0894993i | \(0.0285267\pi\) | ||||
−0.995987 | + | 0.0894993i | \(0.971473\pi\) | |||||||
\(54\) | 1.61803 | 0.220187 | ||||||||
\(55\) | 5.33395 | + | 3.29657i | 0.719230 | + | 0.444509i | ||||
\(56\) | 2.23607 | 0.298807 | ||||||||
\(57\) | − | 2.34458i | − | 0.310547i | ||||||
\(58\) | − | 9.21586i | − | 1.21010i | ||||||
\(59\) | 2.47027 | 0.321602 | 0.160801 | − | 0.986987i | \(-0.448592\pi\) | ||||
0.160801 | + | 0.986987i | \(0.448592\pi\) | |||||||
\(60\) | −0.726543 | + | 1.17557i | −0.0937962 | + | 0.151765i | ||||
\(61\) | −4.15838 | −0.532427 | −0.266213 | − | 0.963914i | \(-0.585773\pi\) | ||||
−0.266213 | + | 0.963914i | \(0.585773\pi\) | |||||||
\(62\) | − | 1.44903i | − | 0.184027i | ||||||
\(63\) | − | 1.00000i | − | 0.125988i | ||||||
\(64\) | −4.23607 | −0.529508 | ||||||||
\(65\) | 1.17557 | − | 1.90211i | 0.145812 | − | 0.235928i | ||||
\(66\) | −4.53733 | −0.558507 | ||||||||
\(67\) | − | 15.4797i | − | 1.89115i | −0.325402 | − | 0.945576i | \(-0.605500\pi\) | ||
0.325402 | − | 0.945576i | \(-0.394500\pi\) | |||||||
\(68\) | 1.24263i | 0.150691i | ||||||||
\(69\) | 0.939503 | 0.113103 | ||||||||
\(70\) | 3.07768 | + | 1.90211i | 0.367854 | + | 0.227346i | ||||
\(71\) | −12.3416 | −1.46467 | −0.732337 | − | 0.680943i | \(-0.761570\pi\) | ||||
−0.732337 | + | 0.680943i | \(0.761570\pi\) | |||||||
\(72\) | 2.23607i | 0.263523i | ||||||||
\(73\) | 2.77455i | 0.324737i | 0.986730 | + | 0.162368i | \(0.0519133\pi\) | ||||
−0.986730 | + | 0.162368i | \(0.948087\pi\) | |||||||
\(74\) | −8.93179 | −1.03830 | ||||||||
\(75\) | 4.47214 | − | 2.23607i | 0.516398 | − | 0.258199i | ||||
\(76\) | −1.44903 | −0.166215 | ||||||||
\(77\) | 2.80423i | 0.319571i | ||||||||
\(78\) | 1.61803i | 0.183206i | ||||||||
\(79\) | 6.16495 | 0.693611 | 0.346805 | − | 0.937937i | \(-0.387266\pi\) | ||||
0.346805 | + | 0.937937i | \(0.387266\pi\) | |||||||
\(80\) | −9.23305 | − | 5.70634i | −1.03229 | − | 0.637988i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 4.97980i | − | 0.549927i | ||||||
\(83\) | 15.5861i | 1.71079i | 0.517975 | + | 0.855396i | \(0.326686\pi\) | ||||
−0.517975 | + | 0.855396i | \(0.673314\pi\) | |||||||
\(84\) | −0.618034 | −0.0674330 | ||||||||
\(85\) | 2.36363 | − | 3.82443i | 0.256371 | − | 0.414818i | ||||
\(86\) | −8.29168 | −0.894115 | ||||||||
\(87\) | − | 5.69572i | − | 0.610645i | ||||||
\(88\) | − | 6.27044i | − | 0.668431i | ||||||
\(89\) | 0.821412 | 0.0870695 | 0.0435348 | − | 0.999052i | \(-0.486138\pi\) | ||||
0.0435348 | + | 0.999052i | \(0.486138\pi\) | |||||||
\(90\) | −1.90211 | + | 3.07768i | −0.200500 | + | 0.324416i | ||||
\(91\) | 1.00000 | 0.104828 | ||||||||
\(92\) | − | 0.580644i | − | 0.0605364i | ||||||
\(93\) | − | 0.895549i | − | 0.0928641i | ||||||
\(94\) | −9.64771 | −0.995085 | ||||||||
\(95\) | 4.45965 | + | 2.75621i | 0.457550 | + | 0.282782i | ||||
\(96\) | 3.38197 | 0.345170 | ||||||||
\(97\) | − | 1.98281i | − | 0.201324i | −0.994921 | − | 0.100662i | \(-0.967904\pi\) | ||
0.994921 | − | 0.100662i | \(-0.0320961\pi\) | |||||||
\(98\) | 1.61803i | 0.163446i | ||||||||
\(99\) | −2.80423 | −0.281835 | ||||||||
\(100\) | −1.38197 | − | 2.76393i | −0.138197 | − | 0.276393i | ||||
\(101\) | 7.71883 | 0.768052 | 0.384026 | − | 0.923322i | \(-0.374537\pi\) | ||||
0.384026 | + | 0.923322i | \(0.374537\pi\) | |||||||
\(102\) | 3.25325i | 0.322120i | ||||||||
\(103\) | 19.3309i | 1.90473i | 0.304954 | + | 0.952367i | \(0.401359\pi\) | ||||
−0.304954 | + | 0.952367i | \(0.598641\pi\) | |||||||
\(104\) | −2.23607 | −0.219265 | ||||||||
\(105\) | 1.90211 | + | 1.17557i | 0.185627 | + | 0.114724i | ||||
\(106\) | 2.10851 | 0.204796 | ||||||||
\(107\) | 7.81736i | 0.755732i | 0.925860 | + | 0.377866i | \(0.123342\pi\) | ||||
−0.925860 | + | 0.377866i | \(0.876658\pi\) | |||||||
\(108\) | − | 0.618034i | − | 0.0594703i | ||||||
\(109\) | −1.33686 | −0.128048 | −0.0640240 | − | 0.997948i | \(-0.520393\pi\) | ||||
−0.0640240 | + | 0.997948i | \(0.520393\pi\) | |||||||
\(110\) | 5.33395 | − | 8.63052i | 0.508573 | − | 0.822888i | ||||
\(111\) | −5.52015 | −0.523949 | ||||||||
\(112\) | − | 4.85410i | − | 0.458670i | ||||||
\(113\) | 6.79766i | 0.639470i | 0.947507 | + | 0.319735i | \(0.103594\pi\) | ||||
−0.947507 | + | 0.319735i | \(0.896406\pi\) | |||||||
\(114\) | −3.79360 | −0.355304 | ||||||||
\(115\) | −1.10445 | + | 1.78704i | −0.102991 | + | 0.166642i | ||||
\(116\) | −3.52015 | −0.326837 | ||||||||
\(117\) | 1.00000i | 0.0924500i | ||||||||
\(118\) | − | 3.99698i | − | 0.367952i | ||||||
\(119\) | 2.01062 | 0.184313 | ||||||||
\(120\) | −4.25325 | − | 2.62866i | −0.388267 | − | 0.239962i | ||||
\(121\) | −3.13632 | −0.285120 | ||||||||
\(122\) | 6.72841i | 0.609161i | ||||||||
\(123\) | − | 3.07768i | − | 0.277505i | ||||||
\(124\) | −0.553479 | −0.0497039 | ||||||||
\(125\) | −1.00406 | + | 11.1352i | −0.0898056 | + | 0.995959i | ||||
\(126\) | −1.61803 | −0.144146 | ||||||||
\(127\) | − | 10.4912i | − | 0.930942i | −0.885063 | − | 0.465471i | \(-0.845885\pi\) | ||
0.885063 | − | 0.465471i | \(-0.154115\pi\) | |||||||
\(128\) | 13.6180i | 1.20368i | ||||||||
\(129\) | −5.12454 | −0.451191 | ||||||||
\(130\) | −3.07768 | − | 1.90211i | −0.269931 | − | 0.166826i | ||||
\(131\) | −2.09319 | −0.182883 | −0.0914413 | − | 0.995810i | \(-0.529147\pi\) | ||||
−0.0914413 | + | 0.995810i | \(0.529147\pi\) | |||||||
\(132\) | 1.73311i | 0.150848i | ||||||||
\(133\) | 2.34458i | 0.203301i | ||||||||
\(134\) | −25.0467 | −2.16371 | ||||||||
\(135\) | −1.17557 | + | 1.90211i | −0.101177 | + | 0.163708i | ||||
\(136\) | −4.49589 | −0.385519 | ||||||||
\(137\) | 12.2704i | 1.04833i | 0.851615 | + | 0.524167i | \(0.175623\pi\) | ||||
−0.851615 | + | 0.524167i | \(0.824377\pi\) | |||||||
\(138\) | − | 1.52015i | − | 0.129404i | ||||||
\(139\) | −13.4538 | −1.14114 | −0.570568 | − | 0.821250i | \(-0.693277\pi\) | ||||
−0.570568 | + | 0.821250i | \(0.693277\pi\) | |||||||
\(140\) | 0.726543 | − | 1.17557i | 0.0614041 | − | 0.0993538i | ||||
\(141\) | −5.96261 | −0.502142 | ||||||||
\(142\) | 19.9691i | 1.67577i | ||||||||
\(143\) | − | 2.80423i | − | 0.234501i | ||||||
\(144\) | 4.85410 | 0.404508 | ||||||||
\(145\) | 10.8339 | + | 6.69572i | 0.899706 | + | 0.556049i | ||||
\(146\) | 4.48932 | 0.371539 | ||||||||
\(147\) | 1.00000i | 0.0824786i | ||||||||
\(148\) | 3.41164i | 0.280435i | ||||||||
\(149\) | −12.6216 | −1.03400 | −0.517000 | − | 0.855985i | \(-0.672951\pi\) | ||||
−0.517000 | + | 0.855985i | \(0.672951\pi\) | |||||||
\(150\) | −3.61803 | − | 7.23607i | −0.295411 | − | 0.590822i | ||||
\(151\) | 0.222429 | 0.0181010 | 0.00905051 | − | 0.999959i | \(-0.497119\pi\) | ||||
0.00905051 | + | 0.999959i | \(0.497119\pi\) | |||||||
\(152\) | − | 5.24263i | − | 0.425234i | ||||||
\(153\) | 2.01062i | 0.162549i | ||||||||
\(154\) | 4.53733 | 0.365629 | ||||||||
\(155\) | 1.70343 | + | 1.05278i | 0.136823 | + | 0.0845614i | ||||
\(156\) | 0.618034 | 0.0494823 | ||||||||
\(157\) | − | 19.5013i | − | 1.55637i | −0.628033 | − | 0.778187i | \(-0.716140\pi\) | ||
0.628033 | − | 0.778187i | \(-0.283860\pi\) | |||||||
\(158\) | − | 9.97510i | − | 0.793576i | ||||||
\(159\) | 1.30313 | 0.103345 | ||||||||
\(160\) | −3.97574 | + | 6.43288i | −0.314310 | + | 0.508564i | ||||
\(161\) | −0.939503 | −0.0740432 | ||||||||
\(162\) | − | 1.61803i | − | 0.127125i | ||||||
\(163\) | − | 1.14712i | − | 0.0898494i | −0.998990 | − | 0.0449247i | \(-0.985695\pi\) | ||
0.998990 | − | 0.0449247i | \(-0.0143048\pi\) | |||||||
\(164\) | −1.90211 | −0.148530 | ||||||||
\(165\) | 3.29657 | − | 5.33395i | 0.256637 | − | 0.415248i | ||||
\(166\) | 25.2188 | 1.95736 | ||||||||
\(167\) | 17.8232i | 1.37920i | 0.724191 | + | 0.689599i | \(0.242213\pi\) | ||||
−0.724191 | + | 0.689599i | \(0.757787\pi\) | |||||||
\(168\) | − | 2.23607i | − | 0.172516i | ||||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | −6.18806 | − | 3.82443i | −0.474602 | − | 0.293320i | ||||
\(171\) | −2.34458 | −0.179294 | ||||||||
\(172\) | 3.16714i | 0.241492i | ||||||||
\(173\) | 2.11443i | 0.160757i | 0.996764 | + | 0.0803786i | \(0.0256129\pi\) | ||||
−0.996764 | + | 0.0803786i | \(0.974387\pi\) | |||||||
\(174\) | −9.21586 | −0.698653 | ||||||||
\(175\) | −4.47214 | + | 2.23607i | −0.338062 | + | 0.169031i | ||||
\(176\) | −13.6120 | −1.02604 | ||||||||
\(177\) | − | 2.47027i | − | 0.185677i | ||||||
\(178\) | − | 1.32907i | − | 0.0996182i | ||||||
\(179\) | −18.6737 | −1.39574 | −0.697870 | − | 0.716225i | \(-0.745869\pi\) | ||||
−0.697870 | + | 0.716225i | \(0.745869\pi\) | |||||||
\(180\) | 1.17557 | + | 0.726543i | 0.0876219 | + | 0.0541533i | ||||
\(181\) | 6.07872 | 0.451828 | 0.225914 | − | 0.974147i | \(-0.427463\pi\) | ||||
0.225914 | + | 0.974147i | \(0.427463\pi\) | |||||||
\(182\) | − | 1.61803i | − | 0.119937i | ||||||
\(183\) | 4.15838i | 0.307397i | ||||||||
\(184\) | 2.10079 | 0.154872 | ||||||||
\(185\) | 6.48932 | − | 10.4999i | 0.477104 | − | 0.771971i | ||||
\(186\) | −1.44903 | −0.106248 | ||||||||
\(187\) | − | 5.63824i | − | 0.412309i | ||||||
\(188\) | 3.68510i | 0.268763i | ||||||||
\(189\) | −1.00000 | −0.0727393 | ||||||||
\(190\) | 4.45965 | − | 7.21586i | 0.323537 | − | 0.523494i | ||||
\(191\) | 13.9329 | 1.00815 | 0.504076 | − | 0.863659i | \(-0.331833\pi\) | ||||
0.504076 | + | 0.863659i | \(0.331833\pi\) | |||||||
\(192\) | 4.23607i | 0.305712i | ||||||||
\(193\) | 3.14339i | 0.226266i | 0.993580 | + | 0.113133i | \(0.0360887\pi\) | ||||
−0.993580 | + | 0.113133i | \(0.963911\pi\) | |||||||
\(194\) | −3.20826 | −0.230340 | ||||||||
\(195\) | −1.90211 | − | 1.17557i | −0.136213 | − | 0.0841844i | ||||
\(196\) | 0.618034 | 0.0441453 | ||||||||
\(197\) | 5.11141i | 0.364173i | 0.983283 | + | 0.182087i | \(0.0582851\pi\) | ||||
−0.983283 | + | 0.182087i | \(0.941715\pi\) | |||||||
\(198\) | 4.53733i | 0.322454i | ||||||||
\(199\) | −16.5135 | −1.17061 | −0.585304 | − | 0.810814i | \(-0.699025\pi\) | ||||
−0.585304 | + | 0.810814i | \(0.699025\pi\) | |||||||
\(200\) | 10.0000 | − | 5.00000i | 0.707107 | − | 0.353553i | ||||
\(201\) | −15.4797 | −1.09186 | ||||||||
\(202\) | − | 12.4893i | − | 0.878746i | ||||||
\(203\) | 5.69572i | 0.399761i | ||||||||
\(204\) | 1.24263 | 0.0870017 | ||||||||
\(205\) | 5.85410 | + | 3.61803i | 0.408868 | + | 0.252694i | ||||
\(206\) | 31.2781 | 2.17925 | ||||||||
\(207\) | − | 0.939503i | − | 0.0652999i | ||||||
\(208\) | 4.85410i | 0.336571i | ||||||||
\(209\) | 6.57472 | 0.454783 | ||||||||
\(210\) | 1.90211 | − | 3.07768i | 0.131258 | − | 0.212380i | ||||
\(211\) | −2.47078 | −0.170096 | −0.0850478 | − | 0.996377i | \(-0.527104\pi\) | ||||
−0.0850478 | + | 0.996377i | \(0.527104\pi\) | |||||||
\(212\) | − | 0.805379i | − | 0.0553136i | ||||||
\(213\) | 12.3416i | 0.845630i | ||||||||
\(214\) | 12.6487 | 0.864650 | ||||||||
\(215\) | 6.02426 | − | 9.74746i | 0.410851 | − | 0.664771i | ||||
\(216\) | 2.23607 | 0.152145 | ||||||||
\(217\) | 0.895549i | 0.0607938i | ||||||||
\(218\) | 2.16308i | 0.146503i | ||||||||
\(219\) | 2.77455 | 0.187487 | ||||||||
\(220\) | −3.29657 | − | 2.03739i | −0.222254 | − | 0.137361i | ||||
\(221\) | −2.01062 | −0.135249 | ||||||||
\(222\) | 8.93179i | 0.599462i | ||||||||
\(223\) | 9.10445i | 0.609679i | 0.952404 | + | 0.304840i | \(0.0986029\pi\) | ||||
−0.952404 | + | 0.304840i | \(0.901397\pi\) | |||||||
\(224\) | −3.38197 | −0.225967 | ||||||||
\(225\) | −2.23607 | − | 4.47214i | −0.149071 | − | 0.298142i | ||||
\(226\) | 10.9988 | 0.731632 | ||||||||
\(227\) | 7.00779i | 0.465123i | 0.972582 | + | 0.232562i | \(0.0747107\pi\) | ||||
−0.972582 | + | 0.232562i | \(0.925289\pi\) | |||||||
\(228\) | 1.44903i | 0.0959642i | ||||||||
\(229\) | 20.2385 | 1.33740 | 0.668698 | − | 0.743534i | \(-0.266852\pi\) | ||||
0.668698 | + | 0.743534i | \(0.266852\pi\) | |||||||
\(230\) | 2.89149 | + | 1.78704i | 0.190659 | + | 0.117834i | ||||
\(231\) | 2.80423 | 0.184505 | ||||||||
\(232\) | − | 12.7360i | − | 0.836160i | ||||||
\(233\) | 14.6750i | 0.961391i | 0.876887 | + | 0.480696i | \(0.159616\pi\) | ||||
−0.876887 | + | 0.480696i | \(0.840384\pi\) | |||||||
\(234\) | 1.61803 | 0.105774 | ||||||||
\(235\) | 7.00947 | − | 11.3416i | 0.457247 | − | 0.739842i | ||||
\(236\) | −1.52671 | −0.0993805 | ||||||||
\(237\) | − | 6.16495i | − | 0.400456i | ||||||
\(238\) | − | 3.25325i | − | 0.210877i | ||||||
\(239\) | −23.9963 | −1.55219 | −0.776097 | − | 0.630613i | \(-0.782803\pi\) | ||||
−0.776097 | + | 0.630613i | \(0.782803\pi\) | |||||||
\(240\) | −5.70634 | + | 9.23305i | −0.368343 | + | 0.595991i | ||||
\(241\) | 25.2300 | 1.62521 | 0.812605 | − | 0.582815i | \(-0.198049\pi\) | ||||
0.812605 | + | 0.582815i | \(0.198049\pi\) | |||||||
\(242\) | 5.07467i | 0.326212i | ||||||||
\(243\) | − | 1.00000i | − | 0.0641500i | ||||||
\(244\) | 2.57002 | 0.164529 | ||||||||
\(245\) | −1.90211 | − | 1.17557i | −0.121522 | − | 0.0751044i | ||||
\(246\) | −4.97980 | −0.317500 | ||||||||
\(247\) | − | 2.34458i | − | 0.149182i | ||||||
\(248\) | − | 2.00251i | − | 0.127159i | ||||||
\(249\) | 15.5861 | 0.987726 | ||||||||
\(250\) | 18.0171 | + | 1.62460i | 1.13950 | + | 0.102749i | ||||
\(251\) | 11.8992 | 0.751069 | 0.375534 | − | 0.926808i | \(-0.377459\pi\) | ||||
0.375534 | + | 0.926808i | \(0.377459\pi\) | |||||||
\(252\) | 0.618034i | 0.0389325i | ||||||||
\(253\) | 2.63458i | 0.165634i | ||||||||
\(254\) | −16.9751 | −1.06511 | ||||||||
\(255\) | −3.82443 | − | 2.36363i | −0.239495 | − | 0.148016i | ||||
\(256\) | 13.5623 | 0.847644 | ||||||||
\(257\) | 5.49151i | 0.342551i | 0.985223 | + | 0.171276i | \(0.0547889\pi\) | ||||
−0.985223 | + | 0.171276i | \(0.945211\pi\) | |||||||
\(258\) | 8.29168i | 0.516218i | ||||||||
\(259\) | 5.52015 | 0.343005 | ||||||||
\(260\) | −0.726543 | + | 1.17557i | −0.0450583 | + | 0.0729058i | ||||
\(261\) | −5.69572 | −0.352556 | ||||||||
\(262\) | 3.38685i | 0.209240i | ||||||||
\(263\) | 2.38614i | 0.147135i | 0.997290 | + | 0.0735677i | \(0.0234385\pi\) | ||||
−0.997290 | + | 0.0735677i | \(0.976561\pi\) | |||||||
\(264\) | −6.27044 | −0.385919 | ||||||||
\(265\) | −1.53192 | + | 2.47870i | −0.0941052 | + | 0.152265i | ||||
\(266\) | 3.79360 | 0.232601 | ||||||||
\(267\) | − | 0.821412i | − | 0.0502696i | ||||||
\(268\) | 9.56701i | 0.584398i | ||||||||
\(269\) | 18.6149 | 1.13497 | 0.567485 | − | 0.823383i | \(-0.307916\pi\) | ||||
0.567485 | + | 0.823383i | \(0.307916\pi\) | |||||||
\(270\) | 3.07768 | + | 1.90211i | 0.187302 | + | 0.115759i | ||||
\(271\) | −2.89400 | −0.175798 | −0.0878990 | − | 0.996129i | \(-0.528015\pi\) | ||||
−0.0878990 | + | 0.996129i | \(0.528015\pi\) | |||||||
\(272\) | 9.75976i | 0.591773i | ||||||||
\(273\) | − | 1.00000i | − | 0.0605228i | ||||||
\(274\) | 19.8540 | 1.19942 | ||||||||
\(275\) | 6.27044 | + | 12.5409i | 0.378122 | + | 0.756244i | ||||
\(276\) | −0.580644 | −0.0349507 | ||||||||
\(277\) | − | 14.3261i | − | 0.860769i | −0.902646 | − | 0.430385i | \(-0.858378\pi\) | ||
0.902646 | − | 0.430385i | \(-0.141622\pi\) | |||||||
\(278\) | 21.7687i | 1.30560i | ||||||||
\(279\) | −0.895549 | −0.0536151 | ||||||||
\(280\) | 4.25325 | + | 2.62866i | 0.254181 | + | 0.157092i | ||||
\(281\) | 5.57543 | 0.332603 | 0.166301 | − | 0.986075i | \(-0.446818\pi\) | ||||
0.166301 | + | 0.986075i | \(0.446818\pi\) | |||||||
\(282\) | 9.64771i | 0.574513i | ||||||||
\(283\) | − | 18.6838i | − | 1.11064i | −0.831637 | − | 0.555319i | \(-0.812596\pi\) | ||
0.831637 | − | 0.555319i | \(-0.187404\pi\) | |||||||
\(284\) | 7.62750 | 0.452609 | ||||||||
\(285\) | 2.75621 | − | 4.45965i | 0.163264 | − | 0.264167i | ||||
\(286\) | −4.53733 | −0.268298 | ||||||||
\(287\) | 3.07768i | 0.181670i | ||||||||
\(288\) | − | 3.38197i | − | 0.199284i | ||||||
\(289\) | 12.9574 | 0.762200 | ||||||||
\(290\) | 10.8339 | − | 17.5296i | 0.636188 | − | 1.02937i | ||||
\(291\) | −1.98281 | −0.116235 | ||||||||
\(292\) | − | 1.71477i | − | 0.100349i | ||||||
\(293\) | 31.0585i | 1.81446i | 0.420637 | + | 0.907229i | \(0.361807\pi\) | ||||
−0.420637 | + | 0.907229i | \(0.638193\pi\) | |||||||
\(294\) | 1.61803 | 0.0943657 | ||||||||
\(295\) | 4.69873 | + | 2.90398i | 0.273571 | + | 0.169076i | ||||
\(296\) | −12.3434 | −0.717447 | ||||||||
\(297\) | 2.80423i | 0.162718i | ||||||||
\(298\) | 20.4221i | 1.18302i | ||||||||
\(299\) | 0.939503 | 0.0543328 | ||||||||
\(300\) | −2.76393 | + | 1.38197i | −0.159576 | + | 0.0797878i | ||||
\(301\) | 5.12454 | 0.295374 | ||||||||
\(302\) | − | 0.359898i | − | 0.0207098i | ||||||
\(303\) | − | 7.71883i | − | 0.443435i | ||||||
\(304\) | −11.3808 | −0.652734 | ||||||||
\(305\) | −7.90972 | − | 4.88847i | −0.452909 | − | 0.279913i | ||||
\(306\) | 3.25325 | 0.185976 | ||||||||
\(307\) | − | 1.72892i | − | 0.0986745i | −0.998782 | − | 0.0493373i | \(-0.984289\pi\) | ||
0.998782 | − | 0.0493373i | \(-0.0157109\pi\) | |||||||
\(308\) | − | 1.73311i | − | 0.0987529i | ||||||
\(309\) | 19.3309 | 1.09970 | ||||||||
\(310\) | 1.70343 | − | 2.75621i | 0.0967486 | − | 0.156542i | ||||
\(311\) | 17.7385 | 1.00586 | 0.502930 | − | 0.864327i | \(-0.332256\pi\) | ||||
0.502930 | + | 0.864327i | \(0.332256\pi\) | |||||||
\(312\) | 2.23607i | 0.126592i | ||||||||
\(313\) | 24.8522i | 1.40473i | 0.711817 | + | 0.702365i | \(0.247872\pi\) | ||||
−0.711817 | + | 0.702365i | \(0.752128\pi\) | |||||||
\(314\) | −31.5538 | −1.78068 | ||||||||
\(315\) | 1.17557 | − | 1.90211i | 0.0662359 | − | 0.107172i | ||||
\(316\) | −3.81015 | −0.214338 | ||||||||
\(317\) | 2.60626i | 0.146382i | 0.997318 | + | 0.0731911i | \(0.0233183\pi\) | ||||
−0.997318 | + | 0.0731911i | \(0.976682\pi\) | |||||||
\(318\) | − | 2.10851i | − | 0.118239i | ||||||
\(319\) | 15.9721 | 0.894265 | ||||||||
\(320\) | −8.05748 | − | 4.97980i | −0.450427 | − | 0.278379i | ||||
\(321\) | 7.81736 | 0.436322 | ||||||||
\(322\) | 1.52015i | 0.0847145i | ||||||||
\(323\) | − | 4.71406i | − | 0.262297i | ||||||
\(324\) | −0.618034 | −0.0343352 | ||||||||
\(325\) | 4.47214 | − | 2.23607i | 0.248069 | − | 0.124035i | ||||
\(326\) | −1.85608 | −0.102799 | ||||||||
\(327\) | 1.33686i | 0.0739285i | ||||||||
\(328\) | − | 6.88191i | − | 0.379990i | ||||||
\(329\) | 5.96261 | 0.328729 | ||||||||
\(330\) | −8.63052 | − | 5.33395i | −0.475095 | − | 0.293625i | ||||
\(331\) | −30.7543 | −1.69041 | −0.845205 | − | 0.534443i | \(-0.820522\pi\) | ||||
−0.845205 | + | 0.534443i | \(0.820522\pi\) | |||||||
\(332\) | − | 9.63271i | − | 0.528664i | ||||||
\(333\) | 5.52015i | 0.302502i | ||||||||
\(334\) | 28.8385 | 1.57797 | ||||||||
\(335\) | 18.1975 | − | 29.4442i | 0.994237 | − | 1.60871i | ||||
\(336\) | −4.85410 | −0.264813 | ||||||||
\(337\) | 14.3356i | 0.780912i | 0.920622 | + | 0.390456i | \(0.127683\pi\) | ||||
−0.920622 | + | 0.390456i | \(0.872317\pi\) | |||||||
\(338\) | 1.61803i | 0.0880094i | ||||||||
\(339\) | 6.79766 | 0.369198 | ||||||||
\(340\) | −1.46080 | + | 2.36363i | −0.0792231 | + | 0.128186i | ||||
\(341\) | 2.51132 | 0.135996 | ||||||||
\(342\) | 3.79360i | 0.205135i | ||||||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | −11.4588 | −0.617818 | ||||||||
\(345\) | 1.78704 | + | 1.10445i | 0.0962110 | + | 0.0594617i | ||||
\(346\) | 3.42122 | 0.183926 | ||||||||
\(347\) | − | 28.2949i | − | 1.51895i | −0.650537 | − | 0.759475i | \(-0.725456\pi\) | ||
0.650537 | − | 0.759475i | \(-0.274544\pi\) | |||||||
\(348\) | 3.52015i | 0.188700i | ||||||||
\(349\) | 7.82174 | 0.418688 | 0.209344 | − | 0.977842i | \(-0.432867\pi\) | ||||
0.209344 | + | 0.977842i | \(0.432867\pi\) | |||||||
\(350\) | 3.61803 | + | 7.23607i | 0.193392 | + | 0.386784i | ||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | 9.48380i | 0.505488i | ||||||||
\(353\) | − | 12.6656i | − | 0.674122i | −0.941483 | − | 0.337061i | \(-0.890567\pi\) | ||
0.941483 | − | 0.337061i | \(-0.109433\pi\) | |||||||
\(354\) | −3.99698 | −0.212437 | ||||||||
\(355\) | −23.4750 | − | 14.5084i | −1.24593 | − | 0.770024i | ||||
\(356\) | −0.507661 | −0.0269060 | ||||||||
\(357\) | − | 2.01062i | − | 0.106413i | ||||||
\(358\) | 30.2147i | 1.59690i | ||||||||
\(359\) | −4.35926 | −0.230073 | −0.115036 | − | 0.993361i | \(-0.536698\pi\) | ||||
−0.115036 | + | 0.993361i | \(0.536698\pi\) | |||||||
\(360\) | −2.62866 | + | 4.25325i | −0.138542 | + | 0.224166i | ||||
\(361\) | −13.5030 | −0.710682 | ||||||||
\(362\) | − | 9.83558i | − | 0.516947i | ||||||
\(363\) | 3.13632i | 0.164614i | ||||||||
\(364\) | −0.618034 | −0.0323938 | ||||||||
\(365\) | −3.26168 | + | 5.27751i | −0.170724 | + | 0.276238i | ||||
\(366\) | 6.72841 | 0.351699 | ||||||||
\(367\) | − | 23.7244i | − | 1.23840i | −0.785233 | − | 0.619201i | \(-0.787457\pi\) | ||
0.785233 | − | 0.619201i | \(-0.212543\pi\) | |||||||
\(368\) | − | 4.56044i | − | 0.237729i | ||||||
\(369\) | −3.07768 | −0.160218 | ||||||||
\(370\) | −16.9893 | − | 10.4999i | −0.883230 | − | 0.545866i | ||||
\(371\) | −1.30313 | −0.0676551 | ||||||||
\(372\) | 0.553479i | 0.0286966i | ||||||||
\(373\) | 12.2595i | 0.634773i | 0.948296 | + | 0.317387i | \(0.102805\pi\) | ||||
−0.948296 | + | 0.317387i | \(0.897195\pi\) | |||||||
\(374\) | −9.12286 | −0.471732 | ||||||||
\(375\) | 11.1352 | + | 1.00406i | 0.575017 | + | 0.0518493i | ||||
\(376\) | −13.3328 | −0.687587 | ||||||||
\(377\) | − | 5.69572i | − | 0.293344i | ||||||
\(378\) | 1.61803i | 0.0832227i | ||||||||
\(379\) | 9.44164 | 0.484984 | 0.242492 | − | 0.970153i | \(-0.422035\pi\) | ||||
0.242492 | + | 0.970153i | \(0.422035\pi\) | |||||||
\(380\) | −2.75621 | − | 1.70343i | −0.141391 | − | 0.0873843i | ||||
\(381\) | −10.4912 | −0.537480 | ||||||||
\(382\) | − | 22.5440i | − | 1.15345i | ||||||
\(383\) | − | 1.81922i | − | 0.0929578i | −0.998919 | − | 0.0464789i | \(-0.985200\pi\) | ||
0.998919 | − | 0.0464789i | \(-0.0148000\pi\) | |||||||
\(384\) | 13.6180 | 0.694942 | ||||||||
\(385\) | −3.29657 | + | 5.33395i | −0.168009 | + | 0.271844i | ||||
\(386\) | 5.08611 | 0.258876 | ||||||||
\(387\) | 5.12454i | 0.260495i | ||||||||
\(388\) | 1.22545i | 0.0622126i | ||||||||
\(389\) | 11.2846 | 0.572152 | 0.286076 | − | 0.958207i | \(-0.407649\pi\) | ||||
0.286076 | + | 0.958207i | \(0.407649\pi\) | |||||||
\(390\) | −1.90211 | + | 3.07768i | −0.0963172 | + | 0.155845i | ||||
\(391\) | 1.88898 | 0.0955300 | ||||||||
\(392\) | 2.23607i | 0.112938i | ||||||||
\(393\) | 2.09319i | 0.105587i | ||||||||
\(394\) | 8.27044 | 0.416659 | ||||||||
\(395\) | 11.7264 | + | 7.24733i | 0.590021 | + | 0.364653i | ||||
\(396\) | 1.73311 | 0.0870919 | ||||||||
\(397\) | 21.6658i | 1.08738i | 0.839287 | + | 0.543688i | \(0.182973\pi\) | ||||
−0.839287 | + | 0.543688i | \(0.817027\pi\) | |||||||
\(398\) | 26.7194i | 1.33932i | ||||||||
\(399\) | 2.34458 | 0.117376 | ||||||||
\(400\) | −10.8541 | − | 21.7082i | −0.542705 | − | 1.08541i | ||||
\(401\) | 15.1128 | 0.754696 | 0.377348 | − | 0.926072i | \(-0.376836\pi\) | ||||
0.377348 | + | 0.926072i | \(0.376836\pi\) | |||||||
\(402\) | 25.0467i | 1.24922i | ||||||||
\(403\) | − | 0.895549i | − | 0.0446105i | ||||||
\(404\) | −4.77050 | −0.237341 | ||||||||
\(405\) | 1.90211 | + | 1.17557i | 0.0945168 | + | 0.0584146i | ||||
\(406\) | 9.21586 | 0.457376 | ||||||||
\(407\) | − | 15.4797i | − | 0.767302i | ||||||
\(408\) | 4.49589i | 0.222580i | ||||||||
\(409\) | −0.0919651 | −0.00454738 | −0.00227369 | − | 0.999997i | \(-0.500724\pi\) | ||||
−0.00227369 | + | 0.999997i | \(0.500724\pi\) | |||||||
\(410\) | 5.85410 | − | 9.47214i | 0.289113 | − | 0.467795i | ||||
\(411\) | 12.2704 | 0.605256 | ||||||||
\(412\) | − | 11.9472i | − | 0.588595i | ||||||
\(413\) | 2.47027i | 0.121554i | ||||||||
\(414\) | −1.52015 | −0.0747112 | ||||||||
\(415\) | −18.3225 | + | 29.6464i | −0.899417 | + | 1.45529i | ||||
\(416\) | 3.38197 | 0.165815 | ||||||||
\(417\) | 13.4538i | 0.658835i | ||||||||
\(418\) | − | 10.6381i | − | 0.520328i | ||||||
\(419\) | −15.8705 | −0.775323 | −0.387661 | − | 0.921802i | \(-0.626717\pi\) | ||||
−0.387661 | + | 0.921802i | \(0.626717\pi\) | |||||||
\(420\) | −1.17557 | − | 0.726543i | −0.0573620 | − | 0.0354516i | ||||
\(421\) | −13.6257 | −0.664076 | −0.332038 | − | 0.943266i | \(-0.607736\pi\) | ||||
−0.332038 | + | 0.943266i | \(0.607736\pi\) | |||||||
\(422\) | 3.99781i | 0.194610i | ||||||||
\(423\) | 5.96261i | 0.289912i | ||||||||
\(424\) | 2.91389 | 0.141511 | ||||||||
\(425\) | 8.99177 | − | 4.49589i | 0.436165 | − | 0.218083i | ||||
\(426\) | 19.9691 | 0.967504 | ||||||||
\(427\) | − | 4.15838i | − | 0.201238i | ||||||
\(428\) | − | 4.83139i | − | 0.233534i | ||||||
\(429\) | −2.80423 | −0.135389 | ||||||||
\(430\) | −15.7717 | − | 9.74746i | −0.760580 | − | 0.470064i | ||||
\(431\) | −25.4756 | −1.22712 | −0.613559 | − | 0.789649i | \(-0.710263\pi\) | ||||
−0.613559 | + | 0.789649i | \(0.710263\pi\) | |||||||
\(432\) | − | 4.85410i | − | 0.233543i | ||||||
\(433\) | 20.3956i | 0.980151i | 0.871680 | + | 0.490076i | \(0.163031\pi\) | ||||
−0.871680 | + | 0.490076i | \(0.836969\pi\) | |||||||
\(434\) | 1.44903 | 0.0695556 | ||||||||
\(435\) | 6.69572 | − | 10.8339i | 0.321035 | − | 0.519446i | ||||
\(436\) | 0.826225 | 0.0395690 | ||||||||
\(437\) | 2.20274i | 0.105371i | ||||||||
\(438\) | − | 4.48932i | − | 0.214508i | ||||||
\(439\) | −22.8539 | −1.09076 | −0.545379 | − | 0.838190i | \(-0.683614\pi\) | ||||
−0.545379 | + | 0.838190i | \(0.683614\pi\) | |||||||
\(440\) | 7.37134 | − | 11.9271i | 0.351415 | − | 0.568602i | ||||
\(441\) | 1.00000 | 0.0476190 | ||||||||
\(442\) | 3.25325i | 0.154742i | ||||||||
\(443\) | − | 15.9067i | − | 0.755750i | −0.925857 | − | 0.377875i | \(-0.876655\pi\) | ||
0.925857 | − | 0.377875i | \(-0.123345\pi\) | |||||||
\(444\) | 3.41164 | 0.161909 | ||||||||
\(445\) | 1.56242 | + | 0.965628i | 0.0740658 | + | 0.0457752i | ||||
\(446\) | 14.7313 | 0.697548 | ||||||||
\(447\) | 12.6216i | 0.596980i | ||||||||
\(448\) | − | 4.23607i | − | 0.200135i | ||||||
\(449\) | 23.3073 | 1.09994 | 0.549969 | − | 0.835185i | \(-0.314640\pi\) | ||||
0.549969 | + | 0.835185i | \(0.314640\pi\) | |||||||
\(450\) | −7.23607 | + | 3.61803i | −0.341112 | + | 0.170556i | ||||
\(451\) | 8.63052 | 0.406395 | ||||||||
\(452\) | − | 4.20119i | − | 0.197607i | ||||||
\(453\) | − | 0.222429i | − | 0.0104506i | ||||||
\(454\) | 11.3388 | 0.532158 | ||||||||
\(455\) | 1.90211 | + | 1.17557i | 0.0891724 | + | 0.0551116i | ||||
\(456\) | −5.24263 | −0.245509 | ||||||||
\(457\) | 18.1531i | 0.849164i | 0.905389 | + | 0.424582i | \(0.139579\pi\) | ||||
−0.905389 | + | 0.424582i | \(0.860421\pi\) | |||||||
\(458\) | − | 32.7465i | − | 1.53014i | ||||||
\(459\) | 2.01062 | 0.0938478 | ||||||||
\(460\) | 0.682589 | − | 1.10445i | 0.0318259 | − | 0.0514953i | ||||
\(461\) | 30.5416 | 1.42246 | 0.711232 | − | 0.702957i | \(-0.248138\pi\) | ||||
0.711232 | + | 0.702957i | \(0.248138\pi\) | |||||||
\(462\) | − | 4.53733i | − | 0.211096i | ||||||
\(463\) | 18.8199i | 0.874636i | 0.899307 | + | 0.437318i | \(0.144072\pi\) | ||||
−0.899307 | + | 0.437318i | \(0.855928\pi\) | |||||||
\(464\) | −27.6476 | −1.28351 | ||||||||
\(465\) | 1.05278 | − | 1.70343i | 0.0488215 | − | 0.0789949i | ||||
\(466\) | 23.7447 | 1.09995 | ||||||||
\(467\) | − | 14.3948i | − | 0.666114i | −0.942907 | − | 0.333057i | \(-0.891920\pi\) | ||
0.942907 | − | 0.333057i | \(-0.108080\pi\) | |||||||
\(468\) | − | 0.618034i | − | 0.0285686i | ||||||
\(469\) | 15.4797 | 0.714788 | ||||||||
\(470\) | −18.3510 | − | 11.3416i | −0.846470 | − | 0.523147i | ||||
\(471\) | −19.5013 | −0.898572 | ||||||||
\(472\) | − | 5.52369i | − | 0.254249i | ||||||
\(473\) | − | 14.3704i | − | 0.660751i | ||||||
\(474\) | −9.97510 | −0.458171 | ||||||||
\(475\) | 5.24263 | + | 10.4853i | 0.240548 | + | 0.481097i | ||||
\(476\) | −1.24263 | −0.0569560 | ||||||||
\(477\) | − | 1.30313i | − | 0.0596662i | ||||||
\(478\) | 38.8269i | 1.77590i | ||||||||
\(479\) | 25.3568 | 1.15858 | 0.579292 | − | 0.815120i | \(-0.303329\pi\) | ||||
0.579292 | + | 0.815120i | \(0.303329\pi\) | |||||||
\(480\) | 6.43288 | + | 3.97574i | 0.293620 | + | 0.181467i | ||||
\(481\) | −5.52015 | −0.251697 | ||||||||
\(482\) | − | 40.8231i | − | 1.85944i | ||||||
\(483\) | 0.939503i | 0.0427488i | ||||||||
\(484\) | 1.93835 | 0.0881068 | ||||||||
\(485\) | 2.33094 | − | 3.77154i | 0.105842 | − | 0.171257i | ||||
\(486\) | −1.61803 | −0.0733955 | ||||||||
\(487\) | − | 6.55671i | − | 0.297113i | −0.988904 | − | 0.148556i | \(-0.952537\pi\) | ||
0.988904 | − | 0.148556i | \(-0.0474627\pi\) | |||||||
\(488\) | 9.29843i | 0.420920i | ||||||||
\(489\) | −1.14712 | −0.0518746 | ||||||||
\(490\) | −1.90211 | + | 3.07768i | −0.0859287 | + | 0.139036i | ||||
\(491\) | −36.7728 | −1.65954 | −0.829768 | − | 0.558109i | \(-0.811527\pi\) | ||||
−0.829768 | + | 0.558109i | \(0.811527\pi\) | |||||||
\(492\) | 1.90211i | 0.0857539i | ||||||||
\(493\) | − | 11.4519i | − | 0.515769i | ||||||
\(494\) | −3.79360 | −0.170682 | ||||||||
\(495\) | −5.33395 | − | 3.29657i | −0.239743 | − | 0.148170i | ||||
\(496\) | −4.34708 | −0.195190 | ||||||||
\(497\) | − | 12.3416i | − | 0.553595i | ||||||
\(498\) | − | 25.2188i | − | 1.13008i | ||||||
\(499\) | −33.8073 | −1.51342 | −0.756712 | − | 0.653748i | \(-0.773196\pi\) | ||||
−0.756712 | + | 0.653748i | \(0.773196\pi\) | |||||||
\(500\) | 0.620541 | − | 6.88191i | 0.0277515 | − | 0.307768i | ||||
\(501\) | 17.8232 | 0.796280 | ||||||||
\(502\) | − | 19.2533i | − | 0.859315i | ||||||
\(503\) | − | 2.57397i | − | 0.114768i | −0.998352 | − | 0.0573838i | \(-0.981724\pi\) | ||
0.998352 | − | 0.0573838i | \(-0.0182759\pi\) | |||||||
\(504\) | −2.23607 | −0.0996024 | ||||||||
\(505\) | 14.6821 | + | 9.07402i | 0.653344 | + | 0.403789i | ||||
\(506\) | 4.26284 | 0.189506 | ||||||||
\(507\) | 1.00000i | 0.0444116i | ||||||||
\(508\) | 6.48391i | 0.287677i | ||||||||
\(509\) | −14.2906 | −0.633422 | −0.316711 | − | 0.948522i | \(-0.602578\pi\) | ||||
−0.316711 | + | 0.948522i | \(0.602578\pi\) | |||||||
\(510\) | −3.82443 | + | 6.18806i | −0.169349 | + | 0.274012i | ||||
\(511\) | −2.77455 | −0.122739 | ||||||||
\(512\) | 5.29180i | 0.233867i | ||||||||
\(513\) | 2.34458i | 0.103516i | ||||||||
\(514\) | 8.88546 | 0.391921 | ||||||||
\(515\) | −22.7249 | + | 36.7696i | −1.00138 | + | 1.62026i | ||||
\(516\) | 3.16714 | 0.139426 | ||||||||
\(517\) | − | 16.7205i | − | 0.735367i | ||||||
\(518\) | − | 8.93179i | − | 0.392440i | ||||||
\(519\) | 2.11443 | 0.0928132 | ||||||||
\(520\) | −4.25325 | − | 2.62866i | −0.186518 | − | 0.115274i | ||||
\(521\) | 15.9346 | 0.698108 | 0.349054 | − | 0.937103i | \(-0.386503\pi\) | ||||
0.349054 | + | 0.937103i | \(0.386503\pi\) | |||||||
\(522\) | 9.21586i | 0.403367i | ||||||||
\(523\) | 42.2459i | 1.84729i | 0.383254 | + | 0.923643i | \(0.374803\pi\) | ||||
−0.383254 | + | 0.923643i | \(0.625197\pi\) | |||||||
\(524\) | 1.29366 | 0.0565138 | ||||||||
\(525\) | 2.23607 | + | 4.47214i | 0.0975900 | + | 0.195180i | ||||
\(526\) | 3.86085 | 0.168341 | ||||||||
\(527\) | − | 1.80061i | − | 0.0784358i | ||||||
\(528\) | 13.6120i | 0.592386i | ||||||||
\(529\) | 22.1173 | 0.961623 | ||||||||
\(530\) | 4.01062 | + | 2.47870i | 0.174210 | + | 0.107668i | ||||
\(531\) | −2.47027 | −0.107201 | ||||||||
\(532\) | − | 1.44903i | − | 0.0628233i | ||||||
\(533\) | − | 3.07768i | − | 0.133309i | ||||||
\(534\) | −1.32907 | −0.0575146 | ||||||||
\(535\) | −9.18985 | + | 14.8695i | −0.397312 | + | 0.642864i | ||||
\(536\) | −34.6138 | −1.49509 | ||||||||
\(537\) | 18.6737i | 0.805830i | ||||||||
\(538\) | − | 30.1195i | − | 1.29855i | ||||||
\(539\) | −2.80423 | −0.120787 | ||||||||
\(540\) | 0.726543 | − | 1.17557i | 0.0312654 | − | 0.0505885i | ||||
\(541\) | −32.0729 | −1.37892 | −0.689460 | − | 0.724324i | \(-0.742152\pi\) | ||||
−0.689460 | + | 0.724324i | \(0.742152\pi\) | |||||||
\(542\) | 4.68259i | 0.201134i | ||||||||
\(543\) | − | 6.07872i | − | 0.260863i | ||||||
\(544\) | 6.79985 | 0.291541 | ||||||||
\(545\) | −2.54286 | − | 1.57157i | −0.108924 | − | 0.0673188i | ||||
\(546\) | −1.61803 | −0.0692455 | ||||||||
\(547\) | 19.6201i | 0.838895i | 0.907779 | + | 0.419448i | \(0.137776\pi\) | ||||
−0.907779 | + | 0.419448i | \(0.862224\pi\) | |||||||
\(548\) | − | 7.58355i | − | 0.323953i | ||||||
\(549\) | 4.15838 | 0.177476 | ||||||||
\(550\) | 20.2916 | − | 10.1458i | 0.865235 | − | 0.432618i | ||||
\(551\) | 13.3540 | 0.568901 | ||||||||
\(552\) | − | 2.10079i | − | 0.0894156i | ||||||
\(553\) | 6.16495i | 0.262160i | ||||||||
\(554\) | −23.1800 | −0.984826 | ||||||||
\(555\) | −10.4999 | − | 6.48932i | −0.445698 | − | 0.275456i | ||||
\(556\) | 8.31490 | 0.352630 | ||||||||
\(557\) | 0.768499i | 0.0325624i | 0.999867 | + | 0.0162812i | \(0.00518269\pi\) | ||||
−0.999867 | + | 0.0162812i | \(0.994817\pi\) | |||||||
\(558\) | 1.44903i | 0.0613422i | ||||||||
\(559\) | −5.12454 | −0.216745 | ||||||||
\(560\) | 5.70634 | − | 9.23305i | 0.241137 | − | 0.390168i | ||||
\(561\) | −5.63824 | −0.238047 | ||||||||
\(562\) | − | 9.02124i | − | 0.380538i | ||||||
\(563\) | − | 35.0266i | − | 1.47620i | −0.674694 | − | 0.738098i | \(-0.735724\pi\) | ||
0.674694 | − | 0.738098i | \(-0.264276\pi\) | |||||||
\(564\) | 3.68510 | 0.155171 | ||||||||
\(565\) | −7.99113 | + | 12.9299i | −0.336189 | + | 0.543966i | ||||
\(566\) | −30.2311 | −1.27071 | ||||||||
\(567\) | 1.00000i | 0.0419961i | ||||||||
\(568\) | 27.5966i | 1.15793i | ||||||||
\(569\) | −26.3124 | −1.10307 | −0.551537 | − | 0.834150i | \(-0.685958\pi\) | ||||
−0.551537 | + | 0.834150i | \(0.685958\pi\) | |||||||
\(570\) | −7.21586 | − | 4.45965i | −0.302239 | − | 0.186794i | ||||
\(571\) | −40.3772 | −1.68973 | −0.844866 | − | 0.534978i | \(-0.820320\pi\) | ||||
−0.844866 | + | 0.534978i | \(0.820320\pi\) | |||||||
\(572\) | 1.73311i | 0.0724648i | ||||||||
\(573\) | − | 13.9329i | − | 0.582057i | ||||||
\(574\) | 4.97980 | 0.207853 | ||||||||
\(575\) | −4.20158 | + | 2.10079i | −0.175218 | + | 0.0876091i | ||||
\(576\) | 4.23607 | 0.176503 | ||||||||
\(577\) | 33.7497i | 1.40502i | 0.711675 | + | 0.702509i | \(0.247937\pi\) | ||||
−0.711675 | + | 0.702509i | \(0.752063\pi\) | |||||||
\(578\) | − | 20.9655i | − | 0.872050i | ||||||
\(579\) | 3.14339 | 0.130635 | ||||||||
\(580\) | −6.69572 | − | 4.13818i | −0.278025 | − | 0.171829i | ||||
\(581\) | −15.5861 | −0.646619 | ||||||||
\(582\) | 3.20826i | 0.132987i | ||||||||
\(583\) | 3.65427i | 0.151344i | ||||||||
\(584\) | 6.20409 | 0.256727 | ||||||||
\(585\) | −1.17557 | + | 1.90211i | −0.0486039 | + | 0.0786427i | ||||
\(586\) | 50.2537 | 2.07596 | ||||||||
\(587\) | 35.8502i | 1.47970i | 0.672774 | + | 0.739848i | \(0.265103\pi\) | ||||
−0.672774 | + | 0.739848i | \(0.734897\pi\) | |||||||
\(588\) | − | 0.618034i | − | 0.0254873i | ||||||
\(589\) | 2.09968 | 0.0865159 | ||||||||
\(590\) | 4.69873 | − | 7.60271i | 0.193444 | − | 0.312999i | ||||
\(591\) | 5.11141 | 0.210255 | ||||||||
\(592\) | 26.7954i | 1.10128i | ||||||||
\(593\) | 28.7642i | 1.18120i | 0.806963 | + | 0.590602i | \(0.201110\pi\) | ||||
−0.806963 | + | 0.590602i | \(0.798890\pi\) | |||||||
\(594\) | 4.53733 | 0.186169 | ||||||||
\(595\) | 3.82443 | + | 2.36363i | 0.156786 | + | 0.0968993i | ||||
\(596\) | 7.80057 | 0.319524 | ||||||||
\(597\) | 16.5135i | 0.675851i | ||||||||
\(598\) | − | 1.52015i | − | 0.0621634i | ||||||
\(599\) | 16.1612 | 0.660327 | 0.330163 | − | 0.943924i | \(-0.392896\pi\) | ||||
0.330163 | + | 0.943924i | \(0.392896\pi\) | |||||||
\(600\) | −5.00000 | − | 10.0000i | −0.204124 | − | 0.408248i | ||||
\(601\) | −40.3491 | −1.64587 | −0.822936 | − | 0.568134i | \(-0.807666\pi\) | ||||
−0.822936 | + | 0.568134i | \(0.807666\pi\) | |||||||
\(602\) | − | 8.29168i | − | 0.337944i | ||||||
\(603\) | 15.4797i | 0.630384i | ||||||||
\(604\) | −0.137469 | −0.00559352 | ||||||||
\(605\) | −5.96563 | − | 3.68696i | −0.242537 | − | 0.149896i | ||||
\(606\) | −12.4893 | −0.507344 | ||||||||
\(607\) | − | 34.9319i | − | 1.41784i | −0.705289 | − | 0.708920i | \(-0.749183\pi\) | ||
0.705289 | − | 0.708920i | \(-0.250817\pi\) | |||||||
\(608\) | 7.92928i | 0.321575i | ||||||||
\(609\) | 5.69572 | 0.230802 | ||||||||
\(610\) | −7.90972 | + | 12.7982i | −0.320255 | + | 0.518184i | ||||
\(611\) | −5.96261 | −0.241221 | ||||||||
\(612\) | − | 1.24263i | − | 0.0502304i | ||||||
\(613\) | − | 36.1928i | − | 1.46181i | −0.682477 | − | 0.730907i | \(-0.739097\pi\) | ||
0.682477 | − | 0.730907i | \(-0.260903\pi\) | |||||||
\(614\) | −2.79745 | −0.112896 | ||||||||
\(615\) | 3.61803 | − | 5.85410i | 0.145893 | − | 0.236060i | ||||
\(616\) | 6.27044 | 0.252643 | ||||||||
\(617\) | 27.8387i | 1.12074i | 0.828242 | + | 0.560371i | \(0.189342\pi\) | ||||
−0.828242 | + | 0.560371i | \(0.810658\pi\) | |||||||
\(618\) | − | 31.2781i | − | 1.25819i | ||||||
\(619\) | −14.9807 | −0.602126 | −0.301063 | − | 0.953604i | \(-0.597341\pi\) | ||||
−0.301063 | + | 0.953604i | \(0.597341\pi\) | |||||||
\(620\) | −1.05278 | − | 0.650654i | −0.0422807 | − | 0.0261309i | ||||
\(621\) | −0.939503 | −0.0377009 | ||||||||
\(622\) | − | 28.7015i | − | 1.15083i | ||||||
\(623\) | 0.821412i | 0.0329092i | ||||||||
\(624\) | 4.85410 | 0.194320 | ||||||||
\(625\) | −15.0000 | + | 20.0000i | −0.600000 | + | 0.800000i | ||||
\(626\) | 40.2117 | 1.60718 | ||||||||
\(627\) | − | 6.57472i | − | 0.262569i | ||||||
\(628\) | 12.0525i | 0.480946i | ||||||||
\(629\) | −11.0989 | −0.442543 | ||||||||
\(630\) | −3.07768 | − | 1.90211i | −0.122618 | − | 0.0757820i | ||||
\(631\) | 10.7583 | 0.428281 | 0.214140 | − | 0.976803i | \(-0.431305\pi\) | ||||
0.214140 | + | 0.976803i | \(0.431305\pi\) | |||||||
\(632\) | − | 13.7852i | − | 0.548348i | ||||||
\(633\) | 2.47078i | 0.0982047i | ||||||||
\(634\) | 4.21702 | 0.167479 | ||||||||
\(635\) | 12.3331 | − | 19.9554i | 0.489425 | − | 0.791907i | ||||
\(636\) | −0.805379 | −0.0319353 | ||||||||
\(637\) | 1.00000i | 0.0396214i | ||||||||
\(638\) | − | 25.8434i | − | 1.02315i | ||||||
\(639\) | 12.3416 | 0.488225 | ||||||||
\(640\) | −16.0090 | + | 25.9030i | −0.632810 | + | 1.02391i | ||||
\(641\) | −12.9112 | −0.509961 | −0.254981 | − | 0.966946i | \(-0.582069\pi\) | ||||
−0.254981 | + | 0.966946i | \(0.582069\pi\) | |||||||
\(642\) | − | 12.6487i | − | 0.499206i | ||||||
\(643\) | − | 20.8057i | − | 0.820495i | −0.911974 | − | 0.410248i | \(-0.865442\pi\) | ||
0.911974 | − | 0.410248i | \(-0.134558\pi\) | |||||||
\(644\) | 0.580644 | 0.0228806 | ||||||||
\(645\) | −9.74746 | − | 6.02426i | −0.383806 | − | 0.237205i | ||||
\(646\) | −7.62750 | −0.300100 | ||||||||
\(647\) | 25.7610i | 1.01277i | 0.862308 | + | 0.506384i | \(0.169018\pi\) | ||||
−0.862308 | + | 0.506384i | \(0.830982\pi\) | |||||||
\(648\) | − | 2.23607i | − | 0.0878410i | ||||||
\(649\) | 6.92720 | 0.271916 | ||||||||
\(650\) | −3.61803 | − | 7.23607i | −0.141911 | − | 0.283822i | ||||
\(651\) | 0.895549 | 0.0350993 | ||||||||
\(652\) | 0.708959i | 0.0277650i | ||||||||
\(653\) | − | 33.0209i | − | 1.29221i | −0.763250 | − | 0.646103i | \(-0.776398\pi\) | ||
0.763250 | − | 0.646103i | \(-0.223602\pi\) | |||||||
\(654\) | 2.16308 | 0.0845833 | ||||||||
\(655\) | −3.98148 | − | 2.46069i | −0.155569 | − | 0.0961471i | ||||
\(656\) | −14.9394 | −0.583285 | ||||||||
\(657\) | − | 2.77455i | − | 0.108246i | ||||||
\(658\) | − | 9.64771i | − | 0.376107i | ||||||
\(659\) | 36.4979 | 1.42176 | 0.710879 | − | 0.703315i | \(-0.248298\pi\) | ||||
0.710879 | + | 0.703315i | \(0.248298\pi\) | |||||||
\(660\) | −2.03739 | + | 3.29657i | −0.0793053 | + | 0.128319i | ||||
\(661\) | 35.1393 | 1.36676 | 0.683380 | − | 0.730063i | \(-0.260509\pi\) | ||||
0.683380 | + | 0.730063i | \(0.260509\pi\) | |||||||
\(662\) | 49.7615i | 1.93404i | ||||||||
\(663\) | 2.01062i | 0.0780861i | ||||||||
\(664\) | 34.8515 | 1.35250 | ||||||||
\(665\) | −2.75621 | + | 4.45965i | −0.106881 | + | 0.172938i | ||||
\(666\) | 8.93179 | 0.346100 | ||||||||
\(667\) | 5.35114i | 0.207197i | ||||||||
\(668\) | − | 11.0153i | − | 0.426196i | ||||||
\(669\) | 9.10445 | 0.351998 | ||||||||
\(670\) | −47.6417 | − | 29.4442i | −1.84056 | − | 1.13753i | ||||
\(671\) | −11.6611 | −0.450170 | ||||||||
\(672\) | 3.38197i | 0.130462i | ||||||||
\(673\) | − | 10.0652i | − | 0.387985i | −0.981003 | − | 0.193992i | \(-0.937856\pi\) | ||
0.981003 | − | 0.193992i | \(-0.0621437\pi\) | |||||||
\(674\) | 23.1955 | 0.893459 | ||||||||
\(675\) | −4.47214 | + | 2.23607i | −0.172133 | + | 0.0860663i | ||||
\(676\) | 0.618034 | 0.0237705 | ||||||||
\(677\) | − | 34.4229i | − | 1.32298i | −0.749955 | − | 0.661489i | \(-0.769925\pi\) | ||
0.749955 | − | 0.661489i | \(-0.230075\pi\) | |||||||
\(678\) | − | 10.9988i | − | 0.422408i | ||||||
\(679\) | 1.98281 | 0.0760934 | ||||||||
\(680\) | −8.55168 | − | 5.28523i | −0.327942 | − | 0.202679i | ||||
\(681\) | 7.00779 | 0.268539 | ||||||||
\(682\) | − | 4.06340i | − | 0.155596i | ||||||
\(683\) | − | 7.19340i | − | 0.275248i | −0.990485 | − | 0.137624i | \(-0.956053\pi\) | ||
0.990485 | − | 0.137624i | \(-0.0439465\pi\) | |||||||
\(684\) | 1.44903 | 0.0554050 | ||||||||
\(685\) | −14.4248 | + | 23.3398i | −0.551142 | + | 0.891767i | ||||
\(686\) | −1.61803 | −0.0617768 | ||||||||
\(687\) | − | 20.2385i | − | 0.772146i | ||||||
\(688\) | 24.8750i | 0.948352i | ||||||||
\(689\) | 1.30313 | 0.0496453 | ||||||||
\(690\) | 1.78704 | − | 2.89149i | 0.0680315 | − | 0.110077i | ||||
\(691\) | 2.19402 | 0.0834645 | 0.0417323 | − | 0.999129i | \(-0.486712\pi\) | ||||
0.0417323 | + | 0.999129i | \(0.486712\pi\) | |||||||
\(692\) | − | 1.30679i | − | 0.0496767i | ||||||
\(693\) | − | 2.80423i | − | 0.106524i | ||||||
\(694\) | −45.7821 | −1.73787 | ||||||||
\(695\) | −25.5906 | − | 15.8159i | −0.970708 | − | 0.599931i | ||||
\(696\) | −12.7360 | −0.482757 | ||||||||
\(697\) | − | 6.18806i | − | 0.234389i | ||||||
\(698\) | − | 12.6558i | − | 0.479031i | ||||||
\(699\) | 14.6750 | 0.555060 | ||||||||
\(700\) | 2.76393 | − | 1.38197i | 0.104467 | − | 0.0522334i | ||||
\(701\) | 9.08651 | 0.343193 | 0.171596 | − | 0.985167i | \(-0.445108\pi\) | ||||
0.171596 | + | 0.985167i | \(0.445108\pi\) | |||||||
\(702\) | − | 1.61803i | − | 0.0610688i | ||||||
\(703\) | − | 12.9424i | − | 0.488132i | ||||||
\(704\) | −11.8789 | −0.447703 | ||||||||
\(705\) | −11.3416 | − | 7.00947i | −0.427148 | − | 0.263992i | ||||
\(706\) | −20.4934 | −0.771278 | ||||||||
\(707\) | 7.71883i | 0.290296i | ||||||||
\(708\) | 1.52671i | 0.0573773i | ||||||||
\(709\) | 17.0828 | 0.641557 | 0.320778 | − | 0.947154i | \(-0.396056\pi\) | ||||
0.320778 | + | 0.947154i | \(0.396056\pi\) | |||||||
\(710\) | −23.4750 | + | 37.9834i | −0.881003 | + | 1.42549i | ||||
\(711\) | −6.16495 | −0.231204 | ||||||||
\(712\) | − | 1.83673i | − | 0.0688345i | ||||||
\(713\) | 0.841370i | 0.0315096i | ||||||||
\(714\) | −3.25325 | −0.121750 | ||||||||
\(715\) | 3.29657 | − | 5.33395i | 0.123285 | − | 0.199479i | ||||
\(716\) | 11.5410 | 0.431307 | ||||||||
\(717\) | 23.9963i | 0.896160i | ||||||||
\(718\) | 7.05342i | 0.263231i | ||||||||
\(719\) | 46.0179 | 1.71618 | 0.858088 | − | 0.513502i | \(-0.171652\pi\) | ||||
0.858088 | + | 0.513502i | \(0.171652\pi\) | |||||||
\(720\) | 9.23305 | + | 5.70634i | 0.344095 | + | 0.212663i | ||||
\(721\) | −19.3309 | −0.719922 | ||||||||
\(722\) | 21.8482i | 0.813108i | ||||||||
\(723\) | − | 25.2300i | − | 0.938315i | ||||||
\(724\) | −3.75686 | −0.139623 | ||||||||
\(725\) | 12.7360 | + | 25.4720i | 0.473004 | + | 0.946007i | ||||
\(726\) | 5.07467 | 0.188339 | ||||||||
\(727\) | − | 41.4822i | − | 1.53849i | −0.638954 | − | 0.769245i | \(-0.720632\pi\) | ||
0.638954 | − | 0.769245i | \(-0.279368\pi\) | |||||||
\(728\) | − | 2.23607i | − | 0.0828742i | ||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 8.53920 | + | 5.27751i | 0.316050 | + | 0.195330i | ||||
\(731\) | −10.3035 | −0.381089 | ||||||||
\(732\) | − | 2.57002i | − | 0.0949908i | ||||||
\(733\) | 8.95740i | 0.330849i | 0.986222 | + | 0.165425i | \(0.0528994\pi\) | ||||
−0.986222 | + | 0.165425i | \(0.947101\pi\) | |||||||
\(734\) | −38.3868 | −1.41688 | ||||||||
\(735\) | −1.17557 | + | 1.90211i | −0.0433616 | + | 0.0701605i | ||||
\(736\) | −3.17737 | −0.117119 | ||||||||
\(737\) | − | 43.4087i | − | 1.59898i | ||||||
\(738\) | 4.97980i | 0.183309i | ||||||||
\(739\) | −41.1448 | −1.51354 | −0.756769 | − | 0.653683i | \(-0.773223\pi\) | ||||
−0.756769 | + | 0.653683i | \(0.773223\pi\) | |||||||
\(740\) | −4.01062 | + | 6.48932i | −0.147433 | + | 0.238552i | ||||
\(741\) | −2.34458 | −0.0861302 | ||||||||
\(742\) | 2.10851i | 0.0774058i | ||||||||
\(743\) | 51.2608i | 1.88058i | 0.340379 | + | 0.940288i | \(0.389445\pi\) | ||||
−0.340379 | + | 0.940288i | \(0.610555\pi\) | |||||||
\(744\) | −2.00251 | −0.0734155 | ||||||||
\(745\) | −24.0077 | − | 14.8376i | −0.879573 | − | 0.543606i | ||||
\(746\) | 19.8363 | 0.726258 | ||||||||
\(747\) | − | 15.5861i | − | 0.570264i | ||||||
\(748\) | 3.48462i | 0.127410i | ||||||||
\(749\) | −7.81736 | −0.285640 | ||||||||
\(750\) | 1.62460 | − | 18.0171i | 0.0593219 | − | 0.657890i | ||||
\(751\) | −9.69851 | −0.353904 | −0.176952 | − | 0.984220i | \(-0.556624\pi\) | ||||
−0.176952 | + | 0.984220i | \(0.556624\pi\) | |||||||
\(752\) | 28.9431i | 1.05545i | ||||||||
\(753\) | − | 11.8992i | − | 0.433630i | ||||||
\(754\) | −9.21586 | −0.335622 | ||||||||
\(755\) | 0.423085 | + | 0.261481i | 0.0153976 | + | 0.00951627i | ||||
\(756\) | 0.618034 | 0.0224777 | ||||||||
\(757\) | − | 42.0784i | − | 1.52936i | −0.644408 | − | 0.764682i | \(-0.722896\pi\) | ||
0.644408 | − | 0.764682i | \(-0.277104\pi\) | |||||||
\(758\) | − | 15.2769i | − | 0.554882i | ||||||
\(759\) | 2.63458 | 0.0956291 | ||||||||
\(760\) | 6.16308 | − | 9.97208i | 0.223559 | − | 0.361725i | ||||
\(761\) | −20.1288 | −0.729668 | −0.364834 | − | 0.931072i | \(-0.618874\pi\) | ||||
−0.364834 | + | 0.931072i | \(0.618874\pi\) | |||||||
\(762\) | 16.9751i | 0.614943i | ||||||||
\(763\) | − | 1.33686i | − | 0.0483976i | ||||||
\(764\) | −8.61103 | −0.311536 | ||||||||
\(765\) | −2.36363 | + | 3.82443i | −0.0854571 | + | 0.138273i | ||||
\(766\) | −2.94356 | −0.106355 | ||||||||
\(767\) | − | 2.47027i | − | 0.0891963i | ||||||
\(768\) | − | 13.5623i | − | 0.489388i | ||||||
\(769\) | −23.5408 | −0.848902 | −0.424451 | − | 0.905451i | \(-0.639533\pi\) | ||||
−0.424451 | + | 0.905451i | \(0.639533\pi\) | |||||||
\(770\) | 8.63052 | + | 5.33395i | 0.311022 | + | 0.192222i | ||||
\(771\) | 5.49151 | 0.197772 | ||||||||
\(772\) | − | 1.94272i | − | 0.0699201i | ||||||
\(773\) | − | 9.93937i | − | 0.357494i | −0.983895 | − | 0.178747i | \(-0.942796\pi\) | ||
0.983895 | − | 0.178747i | \(-0.0572044\pi\) | |||||||
\(774\) | 8.29168 | 0.298038 | ||||||||
\(775\) | 2.00251 | + | 4.00501i | 0.0719322 | + | 0.143864i | ||||
\(776\) | −4.43371 | −0.159161 | ||||||||
\(777\) | − | 5.52015i | − | 0.198034i | ||||||
\(778\) | − | 18.2589i | − | 0.654613i | ||||||
\(779\) | 7.21586 | 0.258535 | ||||||||
\(780\) | 1.17557 | + | 0.726543i | 0.0420922 | + | 0.0260144i | ||||
\(781\) | −34.6085 | −1.23839 | ||||||||
\(782\) | − | 3.05644i | − | 0.109298i | ||||||
\(783\) | 5.69572i | 0.203548i | ||||||||
\(784\) | 4.85410 | 0.173361 | ||||||||
\(785\) | 22.9252 | − | 37.0937i | 0.818234 | − | 1.32393i | ||||
\(786\) | 3.38685 | 0.120805 | ||||||||
\(787\) | 37.9659i | 1.35334i | 0.736287 | + | 0.676670i | \(0.236577\pi\) | ||||
−0.736287 | + | 0.676670i | \(0.763423\pi\) | |||||||
\(788\) | − | 3.15903i | − | 0.112536i | ||||||
\(789\) | 2.38614 | 0.0849487 | ||||||||
\(790\) | 11.7264 | − | 18.9738i | 0.417208 | − | 0.675056i | ||||
\(791\) | −6.79766 | −0.241697 | ||||||||
\(792\) | 6.27044i | 0.222810i | ||||||||
\(793\) | 4.15838i | 0.147669i | ||||||||
\(794\) | 35.0560 | 1.24409 | ||||||||
\(795\) | 2.47870 | + | 1.53192i | 0.0879104 | + | 0.0543316i | ||||
\(796\) | 10.2059 | 0.361738 | ||||||||
\(797\) | 42.9372i | 1.52091i | 0.649389 | + | 0.760456i | \(0.275025\pi\) | ||||
−0.649389 | + | 0.760456i | \(0.724975\pi\) | |||||||
\(798\) | − | 3.79360i | − | 0.134292i | ||||||
\(799\) | −11.9886 | −0.424125 | ||||||||
\(800\) | −15.1246 | + | 7.56231i | −0.534736 | + | 0.267368i | ||||
\(801\) | −0.821412 | −0.0290232 | ||||||||
\(802\) | − | 24.4530i | − | 0.863464i | ||||||
\(803\) | 7.78048i | 0.274567i | ||||||||
\(804\) | 9.56701 | 0.337402 | ||||||||
\(805\) | −1.78704 | − | 1.10445i | −0.0629849 | − | 0.0389268i | ||||
\(806\) | −1.44903 | −0.0510398 | ||||||||
\(807\) | − | 18.6149i | − | 0.655276i | ||||||
\(808\) | − | 17.2598i | − | 0.607198i | ||||||
\(809\) | −47.5910 | −1.67321 | −0.836605 | − | 0.547807i | \(-0.815463\pi\) | ||||
−0.836605 | + | 0.547807i | \(0.815463\pi\) | |||||||
\(810\) | 1.90211 | − | 3.07768i | 0.0668334 | − | 0.108139i | ||||
\(811\) | −40.0579 | −1.40662 | −0.703312 | − | 0.710882i | \(-0.748296\pi\) | ||||
−0.703312 | + | 0.710882i | \(0.748296\pi\) | |||||||
\(812\) | − | 3.52015i | − | 0.123533i | ||||||
\(813\) | 2.89400i | 0.101497i | ||||||||
\(814\) | −25.0467 | −0.877888 | ||||||||
\(815\) | 1.34852 | − | 2.18195i | 0.0472366 | − | 0.0764305i | ||||
\(816\) | 9.75976 | 0.341660 | ||||||||
\(817\) | − | 12.0149i | − | 0.420347i | ||||||
\(818\) | 0.148803i | 0.00520276i | ||||||||
\(819\) | −1.00000 | −0.0349428 | ||||||||
\(820\) | −3.61803 | − | 2.23607i | −0.126347 | − | 0.0780869i | ||||
\(821\) | −2.41652 | −0.0843372 | −0.0421686 | − | 0.999111i | \(-0.513427\pi\) | ||||
−0.0421686 | + | 0.999111i | \(0.513427\pi\) | |||||||
\(822\) | − | 19.8540i | − | 0.692487i | ||||||
\(823\) | − | 57.1896i | − | 1.99350i | −0.0805350 | − | 0.996752i | \(-0.525663\pi\) | ||
0.0805350 | − | 0.996752i | \(-0.474337\pi\) | |||||||
\(824\) | 43.2253 | 1.50582 | ||||||||
\(825\) | 12.5409 | − | 6.27044i | 0.436617 | − | 0.218309i | ||||
\(826\) | 3.99698 | 0.139073 | ||||||||
\(827\) | − | 5.71058i | − | 0.198576i | −0.995059 | − | 0.0992881i | \(-0.968343\pi\) | ||
0.995059 | − | 0.0992881i | \(-0.0316566\pi\) | |||||||
\(828\) | 0.580644i | 0.0201788i | ||||||||
\(829\) | 32.2179 | 1.11898 | 0.559488 | − | 0.828839i | \(-0.310998\pi\) | ||||
0.559488 | + | 0.828839i | \(0.310998\pi\) | |||||||
\(830\) | 47.9689 | + | 29.6464i | 1.66503 | + | 1.02904i | ||||
\(831\) | −14.3261 | −0.496965 | ||||||||
\(832\) | 4.23607i | 0.146859i | ||||||||
\(833\) | 2.01062i | 0.0696639i | ||||||||
\(834\) | 21.7687 | 0.753788 | ||||||||
\(835\) | −20.9524 | + | 33.9017i | −0.725087 | + | 1.17322i | ||||
\(836\) | −4.06340 | −0.140536 | ||||||||
\(837\) | 0.895549i | 0.0309547i | ||||||||
\(838\) | 25.6789i | 0.887065i | ||||||||
\(839\) | −39.2649 | −1.35557 | −0.677787 | − | 0.735258i | \(-0.737061\pi\) | ||||
−0.677787 | + | 0.735258i | \(0.737061\pi\) | |||||||
\(840\) | 2.62866 | − | 4.25325i | 0.0906972 | − | 0.146751i | ||||
\(841\) | 3.44120 | 0.118662 | ||||||||
\(842\) | 22.0469i | 0.759785i | ||||||||
\(843\) | − | 5.57543i | − | 0.192028i | ||||||
\(844\) | 1.52703 | 0.0525624 | ||||||||
\(845\) | −1.90211 | − | 1.17557i | −0.0654347 | − | 0.0404409i | ||||
\(846\) | 9.64771 | 0.331695 | ||||||||
\(847\) | − | 3.13632i | − | 0.107765i | ||||||
\(848\) | − | 6.32553i | − | 0.217219i | ||||||
\(849\) | −18.6838 | −0.641227 | ||||||||
\(850\) | −7.27450 | − | 14.5490i | −0.249513 | − | 0.499026i | ||||
\(851\) | 5.18619 | 0.177780 | ||||||||
\(852\) | − | 7.62750i | − | 0.261314i | ||||||
\(853\) | 13.4267i | 0.459722i | 0.973224 | + | 0.229861i | \(0.0738271\pi\) | ||||
−0.973224 | + | 0.229861i | \(0.926173\pi\) | |||||||
\(854\) | −6.72841 | −0.230241 | ||||||||
\(855\) | −4.45965 | − | 2.75621i | −0.152517 | − | 0.0942606i | ||||
\(856\) | 17.4801 | 0.597459 | ||||||||
\(857\) | − | 48.4140i | − | 1.65379i | −0.562356 | − | 0.826895i | \(-0.690105\pi\) | ||
0.562356 | − | 0.826895i | \(-0.309895\pi\) | |||||||
\(858\) | 4.53733i | 0.154902i | ||||||||
\(859\) | 16.8574 | 0.575168 | 0.287584 | − | 0.957755i | \(-0.407148\pi\) | ||||
0.287584 | + | 0.957755i | \(0.407148\pi\) | |||||||
\(860\) | −3.72320 | + | 6.02426i | −0.126960 | + | 0.205426i | ||||
\(861\) | 3.07768 | 0.104887 | ||||||||
\(862\) | 41.2205i | 1.40397i | ||||||||
\(863\) | 47.6860i | 1.62325i | 0.584178 | + | 0.811625i | \(0.301417\pi\) | ||||
−0.584178 | + | 0.811625i | \(0.698583\pi\) | |||||||
\(864\) | −3.38197 | −0.115057 | ||||||||
\(865\) | −2.48566 | + | 4.02189i | −0.0845150 | + | 0.136748i | ||||
\(866\) | 33.0008 | 1.12141 | ||||||||
\(867\) | − | 12.9574i | − | 0.440056i | ||||||
\(868\) | − | 0.553479i | − | 0.0187863i | ||||||
\(869\) | 17.2879 | 0.586452 | ||||||||
\(870\) | −17.5296 | − | 10.8339i | −0.594310 | − | 0.367304i | ||||
\(871\) | −15.4797 | −0.524511 | ||||||||
\(872\) | 2.98931i | 0.101231i | ||||||||
\(873\) | 1.98281i | 0.0671081i | ||||||||
\(874\) | 3.56410 | 0.120558 | ||||||||
\(875\) | −11.1352 | − | 1.00406i | −0.376437 | − | 0.0339433i | ||||
\(876\) | −1.71477 | −0.0579367 | ||||||||
\(877\) | 5.74990i | 0.194160i | 0.995277 | + | 0.0970801i | \(0.0309503\pi\) | ||||
−0.995277 | + | 0.0970801i | \(0.969050\pi\) | |||||||
\(878\) | 36.9784i | 1.24796i | ||||||||
\(879\) | 31.0585 | 1.04758 | ||||||||
\(880\) | −25.8916 | − | 16.0019i | −0.872804 | − | 0.539423i | ||||
\(881\) | −16.9157 | −0.569905 | −0.284952 | − | 0.958542i | \(-0.591978\pi\) | ||||
−0.284952 | + | 0.958542i | \(0.591978\pi\) | |||||||
\(882\) | − | 1.61803i | − | 0.0544820i | ||||||
\(883\) | 8.09873i | 0.272544i | 0.990671 | + | 0.136272i | \(0.0435121\pi\) | ||||
−0.990671 | + | 0.136272i | \(0.956488\pi\) | |||||||
\(884\) | 1.24263 | 0.0417943 | ||||||||
\(885\) | 2.90398 | − | 4.69873i | 0.0976161 | − | 0.157946i | ||||
\(886\) | −25.7376 | −0.864671 | ||||||||
\(887\) | − | 44.5786i | − | 1.49680i | −0.663247 | − | 0.748401i | \(-0.730822\pi\) | ||
0.663247 | − | 0.748401i | \(-0.269178\pi\) | |||||||
\(888\) | 12.3434i | 0.414218i | ||||||||
\(889\) | 10.4912 | 0.351863 | ||||||||
\(890\) | 1.56242 | − | 2.52805i | 0.0523724 | − | 0.0847403i | ||||
\(891\) | 2.80423 | 0.0939451 | ||||||||
\(892\) | − | 5.62686i | − | 0.188401i | ||||||
\(893\) | − | 13.9798i | − | 0.467816i | ||||||
\(894\) | 20.4221 | 0.683019 | ||||||||
\(895\) | −35.5195 | − | 21.9523i | −1.18729 | − | 0.733784i | ||||
\(896\) | −13.6180 | −0.454947 | ||||||||
\(897\) | − | 0.939503i | − | 0.0313691i | ||||||
\(898\) | − | 37.7119i | − | 1.25846i | ||||||
\(899\) | 5.10079 | 0.170121 | ||||||||
\(900\) | 1.38197 | + | 2.76393i | 0.0460655 | + | 0.0921311i | ||||
\(901\) | 2.62010 | 0.0872882 | ||||||||
\(902\) | − | 13.9645i | − | 0.464966i | ||||||
\(903\) | − | 5.12454i | − | 0.170534i | ||||||
\(904\) | 15.2000 | 0.505546 | ||||||||
\(905\) | 11.5624 | + | 7.14597i | 0.384348 | + | 0.237540i | ||||
\(906\) | −0.359898 | −0.0119568 | ||||||||
\(907\) | − | 24.1868i | − | 0.803110i | −0.915835 | − | 0.401555i | \(-0.868470\pi\) | ||
0.915835 | − | 0.401555i | \(-0.131530\pi\) | |||||||
\(908\) | − | 4.33105i | − | 0.143731i | ||||||
\(909\) | −7.71883 | −0.256017 | ||||||||
\(910\) | 1.90211 | − | 3.07768i | 0.0630544 | − | 0.102024i | ||||
\(911\) | 9.27522 | 0.307302 | 0.153651 | − | 0.988125i | \(-0.450897\pi\) | ||||
0.153651 | + | 0.988125i | \(0.450897\pi\) | |||||||
\(912\) | 11.3808i | 0.376856i | ||||||||
\(913\) | 43.7068i | 1.44648i | ||||||||
\(914\) | 29.3723 | 0.971548 | ||||||||
\(915\) | −4.88847 | + | 7.90972i | −0.161608 | + | 0.261487i | ||||
\(916\) | −12.5081 | −0.413278 | ||||||||
\(917\) | − | 2.09319i | − | 0.0691231i | ||||||
\(918\) | − | 3.25325i | − | 0.107373i | ||||||
\(919\) | 2.91209 | 0.0960611 | 0.0480305 | − | 0.998846i | \(-0.484706\pi\) | ||||
0.0480305 | + | 0.998846i | \(0.484706\pi\) | |||||||
\(920\) | 3.99594 | + | 2.46963i | 0.131742 | + | 0.0814212i | ||||
\(921\) | −1.72892 | −0.0569698 | ||||||||
\(922\) | − | 49.4173i | − | 1.62747i | ||||||
\(923\) | 12.3416i | 0.406227i | ||||||||
\(924\) | −1.73311 | −0.0570150 | ||||||||
\(925\) | 24.6868 | − | 12.3434i | 0.811699 | − | 0.405849i | ||||
\(926\) | 30.4513 | 1.00069 | ||||||||
\(927\) | − | 19.3309i | − | 0.634911i | ||||||
\(928\) | 19.2627i | 0.632330i | ||||||||
\(929\) | −35.9359 | −1.17902 | −0.589510 | − | 0.807761i | \(-0.700679\pi\) | ||||
−0.589510 | + | 0.807761i | \(0.700679\pi\) | |||||||
\(930\) | −2.75621 | − | 1.70343i | −0.0903799 | − | 0.0558578i | ||||
\(931\) | −2.34458 | −0.0768404 | ||||||||
\(932\) | − | 9.06965i | − | 0.297086i | ||||||
\(933\) | − | 17.7385i | − | 0.580733i | ||||||
\(934\) | −23.2914 | −0.762116 | ||||||||
\(935\) | 6.62815 | − | 10.7246i | 0.216764 | − | 0.350731i | ||||
\(936\) | 2.23607 | 0.0730882 | ||||||||
\(937\) | 25.0249i | 0.817527i | 0.912640 | + | 0.408763i | \(0.134040\pi\) | ||||
−0.912640 | + | 0.408763i | \(0.865960\pi\) | |||||||
\(938\) | − | 25.0467i | − | 0.817805i | ||||||
\(939\) | 24.8522 | 0.811021 | ||||||||
\(940\) | −4.33209 | + | 7.00947i | −0.141297 | + | 0.228624i | ||||
\(941\) | 12.7170 | 0.414562 | 0.207281 | − | 0.978281i | \(-0.433538\pi\) | ||||
0.207281 | + | 0.978281i | \(0.433538\pi\) | |||||||
\(942\) | 31.5538i | 1.02808i | ||||||||
\(943\) | 2.89149i | 0.0941599i | ||||||||
\(944\) | −11.9909 | −0.390272 | ||||||||
\(945\) | −1.90211 | − | 1.17557i | −0.0618757 | − | 0.0382413i | ||||
\(946\) | −23.2518 | −0.755980 | ||||||||
\(947\) | − | 42.4461i | − | 1.37931i | −0.724137 | − | 0.689656i | \(-0.757762\pi\) | ||
0.724137 | − | 0.689656i | \(-0.242238\pi\) | |||||||
\(948\) | 3.81015i | 0.123748i | ||||||||
\(949\) | 2.77455 | 0.0900658 | ||||||||
\(950\) | 16.9655 | − | 8.48276i | 0.550434 | − | 0.275217i | ||||
\(951\) | 2.60626 | 0.0845138 | ||||||||
\(952\) | − | 4.49589i | − | 0.145713i | ||||||
\(953\) | 44.1291i | 1.42948i | 0.699389 | + | 0.714741i | \(0.253456\pi\) | ||||
−0.699389 | + | 0.714741i | \(0.746544\pi\) | |||||||
\(954\) | −2.10851 | −0.0682655 | ||||||||
\(955\) | 26.5020 | + | 16.3792i | 0.857585 | + | 0.530017i | ||||
\(956\) | 14.8306 | 0.479654 | ||||||||
\(957\) | − | 15.9721i | − | 0.516304i | ||||||
\(958\) | − | 41.0282i | − | 1.32556i | ||||||
\(959\) | −12.2704 | −0.396233 | ||||||||
\(960\) | −4.97980 | + | 8.05748i | −0.160722 | + | 0.260054i | ||||
\(961\) | −30.1980 | −0.974129 | ||||||||
\(962\) | 8.93179i | 0.287972i | ||||||||
\(963\) | − | 7.81736i | − | 0.251911i | ||||||
\(964\) | −15.5930 | −0.502217 | ||||||||
\(965\) | −3.69528 | + | 5.97908i | −0.118955 | + | 0.192474i | ||||
\(966\) | 1.52015 | 0.0489099 | ||||||||
\(967\) | − | 5.88712i | − | 0.189317i | −0.995510 | − | 0.0946585i | \(-0.969824\pi\) | ||
0.995510 | − | 0.0946585i | \(-0.0301759\pi\) | |||||||
\(968\) | 7.01302i | 0.225407i | ||||||||
\(969\) | −4.71406 | −0.151437 | ||||||||
\(970\) | −6.10247 | − | 3.77154i | −0.195939 | − | 0.121097i | ||||
\(971\) | 44.7978 | 1.43763 | 0.718814 | − | 0.695202i | \(-0.244685\pi\) | ||||
0.718814 | + | 0.695202i | \(0.244685\pi\) | |||||||
\(972\) | 0.618034i | 0.0198234i | ||||||||
\(973\) | − | 13.4538i | − | 0.431309i | ||||||
\(974\) | −10.6090 | −0.339934 | ||||||||
\(975\) | −2.23607 | − | 4.47214i | −0.0716115 | − | 0.143223i | ||||
\(976\) | 20.1852 | 0.646113 | ||||||||
\(977\) | 7.32375i | 0.234308i | 0.993114 | + | 0.117154i | \(0.0373770\pi\) | ||||
−0.993114 | + | 0.117154i | \(0.962623\pi\) | |||||||
\(978\) | 1.85608i | 0.0593509i | ||||||||
\(979\) | 2.30343 | 0.0736178 | ||||||||
\(980\) | 1.17557 | + | 0.726543i | 0.0375522 | + | 0.0232085i | ||||
\(981\) | 1.33686 | 0.0426826 | ||||||||
\(982\) | 59.4997i | 1.89871i | ||||||||
\(983\) | 15.2176i | 0.485367i | 0.970106 | + | 0.242683i | \(0.0780276\pi\) | ||||
−0.970106 | + | 0.242683i | \(0.921972\pi\) | |||||||
\(984\) | −6.88191 | −0.219387 | ||||||||
\(985\) | −6.00883 | + | 9.72249i | −0.191457 | + | 0.309784i | ||||
\(986\) | −18.5296 | −0.590103 | ||||||||
\(987\) | − | 5.96261i | − | 0.189792i | ||||||
\(988\) | 1.44903i | 0.0460997i | ||||||||
\(989\) | 4.81452 | 0.153093 | ||||||||
\(990\) | −5.33395 | + | 8.63052i | −0.169524 | + | 0.274296i | ||||
\(991\) | 1.65833 | 0.0526785 | 0.0263393 | − | 0.999653i | \(-0.491615\pi\) | ||||
0.0263393 | + | 0.999653i | \(0.491615\pi\) | |||||||
\(992\) | 3.02871i | 0.0961618i | ||||||||
\(993\) | 30.7543i | 0.975958i | ||||||||
\(994\) | −19.9691 | −0.633380 | ||||||||
\(995\) | −31.4105 | − | 19.4127i | −0.995779 | − | 0.615425i | ||||
\(996\) | −9.63271 | −0.305224 | ||||||||
\(997\) | − | 2.49409i | − | 0.0789887i | −0.999220 | − | 0.0394943i | \(-0.987425\pi\) | ||
0.999220 | − | 0.0394943i | \(-0.0125747\pi\) | |||||||
\(998\) | 54.7014i | 1.73154i | ||||||||
\(999\) | 5.52015 | 0.174650 |
(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 | 1365.2.f.c.274.2 | ✓ | 8 | |
5.2 | odd | 4 | 6825.2.a.bm.1.4 | 4 | |||
5.3 | odd | 4 | 6825.2.a.be.1.2 | 4 | |||
5.4 | even | 2 | inner | 1365.2.f.c.274.8 | yes | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1365.2.f.c.274.2 | ✓ | 8 | 1.1 | even | 1 | trivial | |
1365.2.f.c.274.8 | yes | 8 | 5.4 | even | 2 | inner | |
6825.2.a.be.1.2 | 4 | 5.3 | odd | 4 | |||
6825.2.a.bm.1.4 | 4 | 5.2 | odd | 4 |