Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(406,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.406");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.j (of order \(3\), degree \(2\), 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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 10x^{8} - 8x^{7} + 50x^{6} - 42x^{5} + 124x^{4} - 12x^{3} + 96x^{2} - 36x + 36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 451.2 | ||
Root | \(-0.473183 - 0.819577i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 585.451 |
Dual form | 585.2.j.i.406.2 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.473183 | + | 0.819577i | −0.334591 | + | 0.579528i | −0.983406 | − | 0.181418i | \(-0.941931\pi\) |
0.648815 | + | 0.760946i | \(0.275265\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.552196 | + | 0.956432i | 0.276098 | + | 0.478216i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.781529 | + | 1.35365i | 0.295390 | + | 0.511631i | 0.975076 | − | 0.221873i | \(-0.0712170\pi\) |
−0.679685 | + | 0.733504i | \(0.737884\pi\) | |||||||
\(8\) | −2.93789 | −1.03870 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.473183 | − | 0.819577i | 0.149634 | − | 0.259173i | ||||
\(11\) | −0.754712 | + | 1.30720i | −0.227554 | + | 0.394135i | −0.957083 | − | 0.289815i | \(-0.906406\pi\) |
0.729529 | + | 0.683950i | \(0.239740\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.46327 | + | 1.00288i | −0.960538 | + | 0.278149i | ||||
\(14\) | −1.47922 | −0.395339 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.285767 | − | 0.494963i | 0.0714417 | − | 0.123741i | ||||
\(17\) | −1.63121 | − | 2.82534i | −0.395626 | − | 0.685245i | 0.597555 | − | 0.801828i | \(-0.296139\pi\) |
−0.993181 | + | 0.116583i | \(0.962806\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.55220 | + | 2.68848i | 0.356098 | + | 0.616780i | 0.987305 | − | 0.158834i | \(-0.0507735\pi\) |
−0.631207 | + | 0.775614i | \(0.717440\pi\) | |||||||
\(20\) | −0.552196 | − | 0.956432i | −0.123475 | − | 0.213865i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.714233 | − | 1.23709i | −0.152275 | − | 0.263748i | ||||
\(23\) | −1.46894 | + | 2.54429i | −0.306296 | + | 0.530521i | −0.977549 | − | 0.210708i | \(-0.932423\pi\) |
0.671253 | + | 0.741228i | \(0.265756\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | 0.816822 | − | 3.31296i | 0.160192 | − | 0.649725i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.863114 | + | 1.49496i | −0.163113 | + | 0.282521i | ||||
\(29\) | −1.30267 | + | 2.25629i | −0.241900 | + | 0.418983i | −0.961255 | − | 0.275659i | \(-0.911104\pi\) |
0.719356 | + | 0.694642i | \(0.244437\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.65897 | −0.477566 | −0.238783 | − | 0.971073i | \(-0.576748\pi\) | ||||
−0.238783 | + | 0.971073i | \(0.576748\pi\) | |||||||
\(32\) | −2.66745 | − | 4.62016i | −0.471543 | − | 0.816736i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.08744 | 0.529492 | ||||||||
\(35\) | −0.781529 | − | 1.35365i | −0.132103 | − | 0.228808i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.285767 | + | 0.494963i | −0.0469798 | + | 0.0813713i | −0.888559 | − | 0.458762i | \(-0.848293\pi\) |
0.841579 | + | 0.540134i | \(0.181626\pi\) | |||||||
\(38\) | −2.93789 | −0.476589 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.93789 | 0.464521 | ||||||||
\(41\) | −2.84400 | + | 4.92596i | −0.444159 | + | 0.769306i | −0.997993 | − | 0.0633212i | \(-0.979831\pi\) |
0.553834 | + | 0.832627i | \(0.313164\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.632648 | − | 1.09578i | −0.0964779 | − | 0.167105i | 0.813747 | − | 0.581220i | \(-0.197424\pi\) |
−0.910224 | + | 0.414115i | \(0.864091\pi\) | |||||||
\(44\) | −1.66700 | −0.251309 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.39016 | − | 2.40783i | −0.204968 | − | 0.355015i | ||||
\(47\) | −5.13459 | −0.748957 | −0.374479 | − | 0.927236i | \(-0.622178\pi\) | ||||
−0.374479 | + | 0.927236i | \(0.622178\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.27843 | − | 3.94635i | 0.325489 | − | 0.563764i | ||||
\(50\) | −0.473183 | + | 0.819577i | −0.0669182 | + | 0.115906i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.87159 | − | 2.75859i | −0.398218 | − | 0.382548i | ||||
\(53\) | 2.91733 | 0.400726 | 0.200363 | − | 0.979722i | \(-0.435788\pi\) | ||||
0.200363 | + | 0.979722i | \(0.435788\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.754712 | − | 1.30720i | 0.101765 | − | 0.176263i | ||||
\(56\) | −2.29605 | − | 3.97687i | −0.306822 | − | 0.531431i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.23280 | − | 2.13528i | −0.161875 | − | 0.280375i | ||||
\(59\) | 6.40706 | + | 11.0974i | 0.834128 | + | 1.44475i | 0.894738 | + | 0.446591i | \(0.147362\pi\) |
−0.0606096 | + | 0.998162i | \(0.519304\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.32949 | − | 5.76684i | −0.426297 | − | 0.738368i | 0.570243 | − | 0.821476i | \(-0.306849\pi\) |
−0.996541 | + | 0.0831074i | \(0.973516\pi\) | |||||||
\(62\) | 1.25818 | − | 2.17923i | 0.159789 | − | 0.276763i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 6.19183 | 0.773979 | ||||||||
\(65\) | 3.46327 | − | 1.00288i | 0.429566 | − | 0.124392i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.74904 | + | 8.22557i | −0.580187 | + | 1.00491i | 0.415270 | + | 0.909698i | \(0.363687\pi\) |
−0.995457 | + | 0.0952151i | \(0.969646\pi\) | |||||||
\(68\) | 1.80149 | − | 3.12028i | 0.218463 | − | 0.378390i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.47922 | 0.176801 | ||||||||
\(71\) | 0.610068 | + | 1.05667i | 0.0724018 | + | 0.125404i | 0.899953 | − | 0.435986i | \(-0.143600\pi\) |
−0.827552 | + | 0.561390i | \(0.810267\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.8785 | −1.50731 | −0.753657 | − | 0.657268i | \(-0.771712\pi\) | ||||
−0.753657 | + | 0.657268i | \(0.771712\pi\) | |||||||
\(74\) | −0.270440 | − | 0.468416i | −0.0314380 | − | 0.0544522i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.71423 | + | 2.96914i | −0.196636 | + | 0.340584i | ||||
\(77\) | −2.35932 | −0.268869 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.76563 | 0.873702 | 0.436851 | − | 0.899534i | \(-0.356094\pi\) | ||||
0.436851 | + | 0.899534i | \(0.356094\pi\) | |||||||
\(80\) | −0.285767 | + | 0.494963i | −0.0319497 | + | 0.0553385i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.69147 | − | 4.66176i | −0.297223 | − | 0.514805i | ||||
\(83\) | 11.2312 | 1.23279 | 0.616394 | − | 0.787438i | \(-0.288593\pi\) | ||||
0.616394 | + | 0.787438i | \(0.288593\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.63121 | + | 2.82534i | 0.176929 | + | 0.306451i | ||||
\(86\) | 1.19743 | 0.129122 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.21726 | − | 3.84041i | 0.236361 | − | 0.409389i | ||||
\(89\) | 0.398407 | − | 0.690062i | 0.0422311 | − | 0.0731464i | −0.844137 | − | 0.536127i | \(-0.819887\pi\) |
0.886368 | + | 0.462981i | \(0.153220\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.06419 | − | 3.90427i | −0.426043 | − | 0.409278i | ||||
\(92\) | −3.24458 | −0.338271 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.42960 | − | 4.20819i | 0.250594 | − | 0.434042i | ||||
\(95\) | −1.55220 | − | 2.68848i | −0.159252 | − | 0.275832i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.90021 | + | 5.02331i | 0.294472 | + | 0.510040i | 0.974862 | − | 0.222810i | \(-0.0715230\pi\) |
−0.680390 | + | 0.732850i | \(0.738190\pi\) | |||||||
\(98\) | 2.15622 | + | 3.73469i | 0.217811 | + | 0.377260i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.552196 | + | 0.956432i | 0.0552196 | + | 0.0956432i | ||||
\(101\) | −3.02001 | + | 5.23081i | −0.300502 | + | 0.520485i | −0.976250 | − | 0.216648i | \(-0.930488\pi\) |
0.675748 | + | 0.737133i | \(0.263821\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.34411 | −0.920702 | −0.460351 | − | 0.887737i | \(-0.652276\pi\) | ||||
−0.460351 | + | 0.887737i | \(0.652276\pi\) | |||||||
\(104\) | 10.1747 | − | 2.94635i | 0.997712 | − | 0.288914i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.38043 | + | 2.39098i | −0.134079 | + | 0.232232i | ||||
\(107\) | 5.50519 | − | 9.53526i | 0.532206 | − | 0.921808i | −0.467087 | − | 0.884212i | \(-0.654696\pi\) |
0.999293 | − | 0.0375969i | \(-0.0119703\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 18.5677 | 1.77846 | 0.889230 | − | 0.457460i | \(-0.151241\pi\) | ||||
0.889230 | + | 0.457460i | \(0.151241\pi\) | |||||||
\(110\) | 0.714233 | + | 1.23709i | 0.0680995 | + | 0.117952i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.893340 | 0.0844127 | ||||||||
\(113\) | 6.52151 | + | 11.2956i | 0.613492 | + | 1.06260i | 0.990647 | + | 0.136449i | \(0.0435689\pi\) |
−0.377155 | + | 0.926150i | \(0.623098\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.46894 | − | 2.54429i | 0.136980 | − | 0.237256i | ||||
\(116\) | −2.87732 | −0.267152 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −12.1268 | −1.11637 | ||||||||
\(119\) | 2.54967 | − | 4.41617i | 0.233728 | − | 0.404829i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.36082 | + | 7.55316i | 0.396438 | + | 0.686651i | ||||
\(122\) | 6.30182 | 0.570540 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.46828 | − | 2.54313i | −0.131855 | − | 0.228380i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.80200 | − | 6.58526i | 0.337373 | − | 0.584347i | −0.646565 | − | 0.762859i | \(-0.723795\pi\) |
0.983938 | + | 0.178512i | \(0.0571283\pi\) | |||||||
\(128\) | 2.40503 | − | 4.16564i | 0.212577 | − | 0.368194i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.816822 | + | 3.31296i | −0.0716400 | + | 0.290566i | ||||
\(131\) | 19.0332 | 1.66294 | 0.831469 | − | 0.555571i | \(-0.187500\pi\) | ||||
0.831469 | + | 0.555571i | \(0.187500\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.42617 | + | 4.20225i | −0.210376 | + | 0.364382i | ||||
\(134\) | −4.49432 | − | 7.78440i | −0.388250 | − | 0.672469i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 4.79231 | + | 8.30053i | 0.410938 | + | 0.711765i | ||||
\(137\) | 9.53422 | + | 16.5138i | 0.814563 | + | 1.41087i | 0.909641 | + | 0.415395i | \(0.136357\pi\) |
−0.0950776 | + | 0.995470i | \(0.530310\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.41454 | + | 12.8424i | 0.628893 | + | 1.08928i | 0.987774 | + | 0.155892i | \(0.0498251\pi\) |
−0.358881 | + | 0.933383i | \(0.616842\pi\) | |||||||
\(140\) | 0.863114 | − | 1.49496i | 0.0729465 | − | 0.126347i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.15470 | −0.0968999 | ||||||||
\(143\) | 1.30281 | − | 5.28407i | 0.108946 | − | 0.441876i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.30267 | − | 2.25629i | 0.108181 | − | 0.187375i | ||||
\(146\) | 6.09389 | − | 10.5549i | 0.504334 | − | 0.873531i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.631197 | −0.0518841 | ||||||||
\(149\) | 11.1399 | + | 19.2949i | 0.912617 | + | 1.58070i | 0.810353 | + | 0.585942i | \(0.199276\pi\) |
0.102265 | + | 0.994757i | \(0.467391\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −16.7896 | −1.36632 | −0.683160 | − | 0.730269i | \(-0.739395\pi\) | ||||
−0.683160 | + | 0.730269i | \(0.739395\pi\) | |||||||
\(152\) | −4.56018 | − | 7.89847i | −0.369880 | − | 0.640650i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.11639 | − | 1.93364i | 0.0899611 | − | 0.155817i | ||||
\(155\) | 2.65897 | 0.213574 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.26279 | 0.260399 | 0.130200 | − | 0.991488i | \(-0.458438\pi\) | ||||
0.130200 | + | 0.991488i | \(0.458438\pi\) | |||||||
\(158\) | −3.67456 | + | 6.36453i | −0.292333 | + | 0.506335i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.66745 | + | 4.62016i | 0.210880 | + | 0.365256i | ||||
\(161\) | −4.59209 | −0.361908 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.57274 | − | 2.72407i | −0.123187 | − | 0.213366i | 0.797836 | − | 0.602875i | \(-0.205978\pi\) |
−0.921023 | + | 0.389509i | \(0.872645\pi\) | |||||||
\(164\) | −6.28179 | −0.490526 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.31443 | + | 9.20486i | −0.412480 | + | 0.714436i | ||||
\(167\) | 5.21393 | − | 9.03079i | 0.403466 | − | 0.698823i | −0.590676 | − | 0.806909i | \(-0.701139\pi\) |
0.994142 | + | 0.108086i | \(0.0344721\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.9885 | − | 6.94649i | 0.845266 | − | 0.534345i | ||||
\(170\) | −3.08744 | −0.236796 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.698691 | − | 1.21017i | 0.0532747 | − | 0.0922745i | ||||
\(173\) | −6.20274 | − | 10.7435i | −0.471586 | − | 0.816811i | 0.527886 | − | 0.849315i | \(-0.322985\pi\) |
−0.999472 | + | 0.0325048i | \(0.989652\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.781529 | + | 1.35365i | 0.0590780 | + | 0.102326i | ||||
\(176\) | 0.431343 | + | 0.747108i | 0.0325137 | + | 0.0563154i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.377039 | + | 0.653051i | 0.0282603 | + | 0.0489482i | ||||
\(179\) | 4.58176 | − | 7.93585i | 0.342457 | − | 0.593153i | −0.642431 | − | 0.766343i | \(-0.722074\pi\) |
0.984888 | + | 0.173190i | \(0.0554075\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.71081 | −0.350152 | −0.175076 | − | 0.984555i | \(-0.556017\pi\) | ||||
−0.175076 | + | 0.984555i | \(0.556017\pi\) | |||||||
\(182\) | 5.12295 | − | 1.48349i | 0.379738 | − | 0.109963i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.31560 | − | 7.47484i | 0.318150 | − | 0.551052i | ||||
\(185\) | 0.285767 | − | 0.494963i | 0.0210100 | − | 0.0363904i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.92437 | 0.360106 | ||||||||
\(188\) | −2.83530 | − | 4.91089i | −0.206786 | − | 0.358163i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.93789 | 0.213137 | ||||||||
\(191\) | 7.57528 | + | 13.1208i | 0.548128 | + | 0.949386i | 0.998403 | + | 0.0564956i | \(0.0179927\pi\) |
−0.450275 | + | 0.892890i | \(0.648674\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.14501 | + | 8.91142i | −0.370346 | + | 0.641458i | −0.989619 | − | 0.143718i | \(-0.954094\pi\) |
0.619273 | + | 0.785176i | \(0.287427\pi\) | |||||||
\(194\) | −5.48932 | −0.394110 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.03255 | 0.359468 | ||||||||
\(197\) | −2.59506 | + | 4.49478i | −0.184890 | + | 0.320240i | −0.943540 | − | 0.331260i | \(-0.892526\pi\) |
0.758649 | + | 0.651499i | \(0.225860\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.30890 | + | 10.9273i | 0.447226 | + | 0.774618i | 0.998204 | − | 0.0599015i | \(-0.0190787\pi\) |
−0.550978 | + | 0.834520i | \(0.685745\pi\) | |||||||
\(200\) | −2.93789 | −0.207740 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.85803 | − | 4.95025i | −0.201090 | − | 0.348299i | ||||
\(203\) | −4.07230 | −0.285819 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.84400 | − | 4.92596i | 0.198634 | − | 0.344044i | ||||
\(206\) | 4.42147 | − | 7.65821i | 0.308058 | − | 0.533573i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.493299 | + | 2.00078i | −0.0342041 | + | 0.138729i | ||||
\(209\) | −4.68584 | −0.324127 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.05458 | − | 5.29069i | 0.210286 | − | 0.364226i | −0.741518 | − | 0.670933i | \(-0.765894\pi\) |
0.951804 | + | 0.306707i | \(0.0992271\pi\) | |||||||
\(212\) | 1.61094 | + | 2.79023i | 0.110640 | + | 0.191634i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.20992 | + | 9.02384i | 0.356143 | + | 0.616857i | ||||
\(215\) | 0.632648 | + | 1.09578i | 0.0431462 | + | 0.0747314i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.07807 | − | 3.59931i | −0.141068 | − | 0.244337i | ||||
\(218\) | −8.78590 | + | 15.2176i | −0.595057 | + | 1.03067i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.66700 | 0.112389 | ||||||||
\(221\) | 8.48279 | + | 8.14900i | 0.570614 | + | 0.548161i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.18831 | − | 5.52232i | 0.213505 | − | 0.369802i | −0.739304 | − | 0.673372i | \(-0.764845\pi\) |
0.952809 | + | 0.303570i | \(0.0981786\pi\) | |||||||
\(224\) | 4.16938 | − | 7.22158i | 0.278578 | − | 0.482512i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −12.3435 | −0.821075 | ||||||||
\(227\) | 6.72532 | + | 11.6486i | 0.446375 | + | 0.773145i | 0.998147 | − | 0.0608506i | \(-0.0193813\pi\) |
−0.551772 | + | 0.833995i | \(0.686048\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.14533 | −0.604341 | −0.302170 | − | 0.953254i | \(-0.597711\pi\) | ||||
−0.302170 | + | 0.953254i | \(0.597711\pi\) | |||||||
\(230\) | 1.39016 | + | 2.40783i | 0.0916644 | + | 0.158767i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.82710 | − | 6.62873i | 0.251261 | − | 0.435198i | ||||
\(233\) | −22.1655 | −1.45211 | −0.726056 | − | 0.687636i | \(-0.758649\pi\) | ||||
−0.726056 | + | 0.687636i | \(0.758649\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.13459 | 0.334944 | ||||||||
\(236\) | −7.07591 | + | 12.2558i | −0.460602 | + | 0.797787i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.41292 | + | 4.17931i | 0.156407 | + | 0.270904i | ||||
\(239\) | −17.5940 | −1.13806 | −0.569030 | − | 0.822317i | \(-0.692681\pi\) | ||||
−0.569030 | + | 0.822317i | \(0.692681\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.0692 | − | 24.3686i | −0.906277 | − | 1.56972i | −0.819194 | − | 0.573517i | \(-0.805579\pi\) |
−0.0870830 | − | 0.996201i | \(-0.527755\pi\) | |||||||
\(242\) | −8.25386 | −0.530578 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.67706 | − | 6.36885i | 0.235400 | − | 0.407724i | ||||
\(245\) | −2.27843 | + | 3.94635i | −0.145563 | + | 0.252123i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.07190 | − | 7.75427i | −0.513603 | − | 0.493392i | ||||
\(248\) | 7.81177 | 0.496048 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.473183 | − | 0.819577i | 0.0299267 | − | 0.0518346i | ||||
\(251\) | −14.0411 | − | 24.3199i | −0.886268 | − | 1.53506i | −0.844254 | − | 0.535944i | \(-0.819956\pi\) |
−0.0420141 | − | 0.999117i | \(-0.513377\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.21726 | − | 3.84041i | −0.139398 | − | 0.241444i | ||||
\(254\) | 3.59808 | + | 6.23206i | 0.225764 | + | 0.391034i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.46787 | + | 14.6668i | 0.529242 | + | 0.916674i | ||||
\(257\) | −15.1282 | + | 26.2028i | −0.943672 | + | 1.63449i | −0.185282 | + | 0.982685i | \(0.559320\pi\) |
−0.758389 | + | 0.651802i | \(0.774013\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.893340 | −0.0555094 | ||||||||
\(260\) | 2.87159 | + | 2.75859i | 0.178088 | + | 0.171081i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.00618 | + | 15.5992i | −0.556404 | + | 0.963720i | ||||
\(263\) | 14.0620 | − | 24.3561i | 0.867102 | − | 1.50186i | 0.00215657 | − | 0.999998i | \(-0.499314\pi\) |
0.864945 | − | 0.501866i | \(-0.167353\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.91733 | −0.179210 | ||||||||
\(266\) | −2.29605 | − | 3.97687i | −0.140780 | − | 0.243837i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.4896 | −0.640754 | ||||||||
\(269\) | −10.3621 | − | 17.9477i | −0.631787 | − | 1.09429i | −0.987186 | − | 0.159573i | \(-0.948988\pi\) |
0.355399 | − | 0.934715i | \(-0.384345\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.97408 | − | 6.88331i | 0.241408 | − | 0.418131i | −0.719707 | − | 0.694277i | \(-0.755724\pi\) |
0.961116 | + | 0.276146i | \(0.0890574\pi\) | |||||||
\(272\) | −1.86458 | −0.113057 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −18.0457 | −1.09018 | ||||||||
\(275\) | −0.754712 | + | 1.30720i | −0.0455108 | + | 0.0788271i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 3.08619 | + | 5.34544i | 0.185431 | + | 0.321176i | 0.943722 | − | 0.330741i | \(-0.107299\pi\) |
−0.758291 | + | 0.651917i | \(0.773965\pi\) | |||||||
\(278\) | −14.0337 | −0.841687 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.29605 | + | 3.97687i | 0.137215 | + | 0.237663i | ||||
\(281\) | −18.5723 | −1.10793 | −0.553967 | − | 0.832539i | \(-0.686886\pi\) | ||||
−0.553967 | + | 0.832539i | \(0.686886\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.63956 | − | 6.30390i | 0.216349 | − | 0.374728i | −0.737340 | − | 0.675522i | \(-0.763918\pi\) |
0.953689 | + | 0.300794i | \(0.0972516\pi\) | |||||||
\(284\) | −0.673755 | + | 1.16698i | −0.0399800 | + | 0.0692474i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.71423 | + | 3.56808i | 0.219627 | + | 0.210985i | ||||
\(287\) | −8.89069 | −0.524801 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.17831 | − | 5.50500i | 0.186960 | − | 0.323823i | ||||
\(290\) | 1.23280 | + | 2.13528i | 0.0723926 | + | 0.125388i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.11146 | − | 12.3174i | −0.416167 | − | 0.720822i | ||||
\(293\) | 3.22104 | + | 5.57901i | 0.188175 | + | 0.325929i | 0.944642 | − | 0.328103i | \(-0.106409\pi\) |
−0.756467 | + | 0.654032i | \(0.773076\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.40706 | − | 11.0974i | −0.373034 | − | 0.646113i | ||||
\(296\) | 0.839551 | − | 1.45415i | 0.0487979 | − | 0.0845205i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −21.0849 | −1.22141 | ||||||||
\(299\) | 2.53574 | − | 10.2847i | 0.146645 | − | 0.594781i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.988865 | − | 1.71276i | 0.0569972 | − | 0.0987221i | ||||
\(302\) | 7.94456 | − | 13.7604i | 0.457158 | − | 0.791821i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.77426 | 0.101761 | ||||||||
\(305\) | 3.32949 | + | 5.76684i | 0.190646 | + | 0.330208i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.94599 | 0.282283 | 0.141141 | − | 0.989989i | \(-0.454923\pi\) | ||||
0.141141 | + | 0.989989i | \(0.454923\pi\) | |||||||
\(308\) | −1.30281 | − | 2.25652i | −0.0742342 | − | 0.128577i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.25818 | + | 2.17923i | −0.0714599 | + | 0.123772i | ||||
\(311\) | −30.0486 | −1.70390 | −0.851950 | − | 0.523623i | \(-0.824580\pi\) | ||||
−0.851950 | + | 0.523623i | \(0.824580\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.57620 | −0.258662 | −0.129331 | − | 0.991601i | \(-0.541283\pi\) | ||||
−0.129331 | + | 0.991601i | \(0.541283\pi\) | |||||||
\(314\) | −1.54390 | + | 2.67411i | −0.0871271 | + | 0.150909i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4.28815 | + | 7.42730i | 0.241227 | + | 0.417818i | ||||
\(317\) | −1.50960 | −0.0847875 | −0.0423937 | − | 0.999101i | \(-0.513498\pi\) | ||||
−0.0423937 | + | 0.999101i | \(0.513498\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.96628 | − | 3.40570i | −0.110091 | − | 0.190682i | ||||
\(320\) | −6.19183 | −0.346134 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.17290 | − | 3.76357i | 0.121091 | − | 0.209736i | ||||
\(323\) | 5.06391 | − | 8.77096i | 0.281764 | − | 0.488029i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.46327 | + | 1.00288i | −0.192108 | + | 0.0556298i | ||||
\(326\) | 2.97678 | 0.164869 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 8.35537 | − | 14.4719i | 0.461348 | − | 0.799079i | ||||
\(329\) | −4.01283 | − | 6.95043i | −0.221235 | − | 0.383190i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.17945 | − | 7.23901i | −0.229723 | − | 0.397892i | 0.728003 | − | 0.685574i | \(-0.240449\pi\) |
−0.957726 | + | 0.287682i | \(0.907115\pi\) | |||||||
\(332\) | 6.20185 | + | 10.7419i | 0.340371 | + | 0.589539i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.93428 | + | 8.54643i | 0.269992 | + | 0.467640i | ||||
\(335\) | 4.74904 | − | 8.22557i | 0.259468 | − | 0.449411i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.5359 | 0.846297 | 0.423148 | − | 0.906060i | \(-0.360925\pi\) | ||||
0.423148 | + | 0.906060i | \(0.360925\pi\) | |||||||
\(338\) | 0.493629 | + | 12.2928i | 0.0268499 | + | 0.668643i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.80149 | + | 3.12028i | −0.0976998 | + | 0.169221i | ||||
\(341\) | 2.00676 | − | 3.47581i | 0.108672 | − | 0.188226i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.0640 | 0.975366 | ||||||||
\(344\) | 1.85865 | + | 3.21928i | 0.100212 | + | 0.173572i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 11.7401 | 0.631153 | ||||||||
\(347\) | 2.89046 | + | 5.00643i | 0.155168 | + | 0.268759i | 0.933120 | − | 0.359564i | \(-0.117075\pi\) |
−0.777952 | + | 0.628324i | \(0.783741\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.72812 | + | 4.72525i | −0.146033 | + | 0.252937i | −0.929758 | − | 0.368172i | \(-0.879984\pi\) |
0.783725 | + | 0.621108i | \(0.213317\pi\) | |||||||
\(350\) | −1.47922 | −0.0790679 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 8.05262 | 0.429206 | ||||||||
\(353\) | 6.13125 | − | 10.6196i | 0.326334 | − | 0.565226i | −0.655448 | − | 0.755240i | \(-0.727520\pi\) |
0.981781 | + | 0.190014i | \(0.0608534\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.610068 | − | 1.05667i | −0.0323791 | − | 0.0560822i | ||||
\(356\) | 0.879996 | 0.0466397 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.33602 | + | 7.51021i | 0.229166 | + | 0.396927i | ||||
\(359\) | −27.4508 | −1.44880 | −0.724398 | − | 0.689382i | \(-0.757882\pi\) | ||||
−0.724398 | + | 0.689382i | \(0.757882\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.68137 | − | 8.10838i | 0.246388 | − | 0.426757i | ||||
\(362\) | 2.22908 | − | 3.86087i | 0.117158 | − | 0.202923i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.48993 | − | 6.04304i | 0.0780937 | − | 0.316741i | ||||
\(365\) | 12.8785 | 0.674092 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −16.9110 | + | 29.2908i | −0.882749 | + | 1.52897i | −0.0344768 | + | 0.999405i | \(0.510976\pi\) |
−0.848272 | + | 0.529561i | \(0.822357\pi\) | |||||||
\(368\) | 0.839551 | + | 1.45415i | 0.0437646 | + | 0.0758026i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.270440 | + | 0.468416i | 0.0140595 | + | 0.0243518i | ||||
\(371\) | 2.27998 | + | 3.94904i | 0.118371 | + | 0.205024i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.52596 | + | 2.64304i | 0.0790113 | + | 0.136852i | 0.902824 | − | 0.430011i | \(-0.141490\pi\) |
−0.823812 | + | 0.566863i | \(0.808157\pi\) | |||||||
\(374\) | −2.33013 | + | 4.03590i | −0.120488 | + | 0.208691i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 15.0849 | 0.777942 | ||||||||
\(377\) | 2.24871 | − | 9.12056i | 0.115814 | − | 0.469733i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.50609 | − | 2.60862i | 0.0773626 | − | 0.133996i | −0.824749 | − | 0.565500i | \(-0.808683\pi\) |
0.902111 | + | 0.431504i | \(0.142017\pi\) | |||||||
\(380\) | 1.71423 | − | 2.96914i | 0.0879383 | − | 0.152314i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.3380 | −0.733594 | ||||||||
\(383\) | −1.60958 | − | 2.78787i | −0.0822456 | − | 0.142454i | 0.821969 | − | 0.569533i | \(-0.192876\pi\) |
−0.904214 | + | 0.427079i | \(0.859543\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.35932 | 0.120242 | ||||||||
\(386\) | −4.86906 | − | 8.43346i | −0.247829 | − | 0.429252i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.20297 | + | 5.54771i | −0.162606 | + | 0.281642i | ||||
\(389\) | −12.8066 | −0.649322 | −0.324661 | − | 0.945830i | \(-0.605250\pi\) | ||||
−0.324661 | + | 0.945830i | \(0.605250\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.58463 | 0.484715 | ||||||||
\(392\) | −6.69376 | + | 11.5939i | −0.338086 | + | 0.585582i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.45588 | − | 4.25370i | −0.123725 | − | 0.214298i | ||||
\(395\) | −7.76563 | −0.390731 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.1125 | + | 29.6397i | 0.858853 | + | 1.48758i | 0.873024 | + | 0.487677i | \(0.162155\pi\) |
−0.0141718 | + | 0.999900i | \(0.504511\pi\) | |||||||
\(398\) | −11.9410 | −0.598551 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.285767 | − | 0.494963i | 0.0142883 | − | 0.0247481i | ||||
\(401\) | −13.0953 | + | 22.6817i | −0.653948 | + | 1.13267i | 0.328208 | + | 0.944606i | \(0.393555\pi\) |
−0.982156 | + | 0.188066i | \(0.939778\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.20874 | − | 2.66663i | 0.458720 | − | 0.132834i | ||||
\(404\) | −6.67054 | −0.331872 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.92694 | − | 3.33756i | 0.0956325 | − | 0.165640i | ||||
\(407\) | −0.431343 | − | 0.747108i | −0.0213809 | − | 0.0370328i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.14686 | − | 12.3787i | −0.353390 | − | 0.612089i | 0.633451 | − | 0.773782i | \(-0.281638\pi\) |
−0.986841 | + | 0.161694i | \(0.948304\pi\) | |||||||
\(410\) | 2.69147 | + | 4.66176i | 0.132922 | + | 0.230228i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.15978 | − | 8.93700i | −0.254204 | − | 0.440294i | ||||
\(413\) | −10.0146 | + | 17.3458i | −0.492787 | + | 0.853532i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.2312 | −0.551320 | ||||||||
\(416\) | 13.8716 | + | 13.3257i | 0.680109 | + | 0.653347i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 2.21726 | − | 3.84041i | 0.108450 | − | 0.187840i | ||||
\(419\) | 11.7425 | − | 20.3386i | 0.573659 | − | 0.993607i | −0.422527 | − | 0.906351i | \(-0.638857\pi\) |
0.996186 | − | 0.0872566i | \(-0.0278100\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.7618 | −0.621971 | −0.310985 | − | 0.950415i | \(-0.600659\pi\) | ||||
−0.310985 | + | 0.950415i | \(0.600659\pi\) | |||||||
\(422\) | 2.89075 | + | 5.00693i | 0.140720 | + | 0.243733i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.57080 | −0.416235 | ||||||||
\(425\) | −1.63121 | − | 2.82534i | −0.0791253 | − | 0.137049i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.20418 | − | 9.01391i | 0.251848 | − | 0.436214i | ||||
\(428\) | 12.1598 | 0.587765 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.19743 | −0.0577453 | ||||||||
\(431\) | 7.34814 | − | 12.7274i | 0.353948 | − | 0.613055i | −0.632990 | − | 0.774160i | \(-0.718172\pi\) |
0.986937 | + | 0.161105i | \(0.0515058\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.76216 | + | 16.9085i | 0.469139 | + | 0.812573i | 0.999378 | − | 0.0352756i | \(-0.0112309\pi\) |
−0.530238 | + | 0.847849i | \(0.677898\pi\) | |||||||
\(434\) | 3.93322 | 0.188801 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 10.2530 | + | 17.7587i | 0.491030 | + | 0.850488i | ||||
\(437\) | −9.12036 | −0.436286 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −15.2080 | + | 26.3410i | −0.725838 | + | 1.25719i | 0.232791 | + | 0.972527i | \(0.425214\pi\) |
−0.958628 | + | 0.284661i | \(0.908119\pi\) | |||||||
\(440\) | −2.21726 | + | 3.84041i | −0.105704 | + | 0.183084i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.6926 | + | 3.09633i | −0.508597 | + | 0.147278i | ||||
\(443\) | 8.83602 | 0.419812 | 0.209906 | − | 0.977722i | \(-0.432684\pi\) | ||||
0.209906 | + | 0.977722i | \(0.432684\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.398407 | + | 0.690062i | −0.0188863 | + | 0.0327121i | ||||
\(446\) | 3.01731 | + | 5.22613i | 0.142874 | + | 0.247465i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.83910 | + | 8.38156i | 0.228626 | + | 0.395992i | ||||
\(449\) | 10.5602 | + | 18.2908i | 0.498366 | + | 0.863195i | 0.999998 | − | 0.00188602i | \(-0.000600341\pi\) |
−0.501632 | + | 0.865081i | \(0.667267\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.29281 | − | 7.43536i | −0.202140 | − | 0.350117i | ||||
\(452\) | −7.20230 | + | 12.4748i | −0.338768 | + | 0.586763i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −12.7292 | −0.597412 | ||||||||
\(455\) | 4.06419 | + | 3.90427i | 0.190532 | + | 0.183035i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −19.7092 | + | 34.1373i | −0.921957 | + | 1.59688i | −0.125574 | + | 0.992084i | \(0.540077\pi\) |
−0.796383 | + | 0.604792i | \(0.793256\pi\) | |||||||
\(458\) | 4.32742 | − | 7.49530i | 0.202207 | − | 0.350233i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.24458 | 0.151279 | ||||||||
\(461\) | −0.212077 | − | 0.367328i | −0.00987742 | − | 0.0171082i | 0.861044 | − | 0.508530i | \(-0.169811\pi\) |
−0.870922 | + | 0.491422i | \(0.836477\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 30.1509 | 1.40123 | 0.700616 | − | 0.713538i | \(-0.252909\pi\) | ||||
0.700616 | + | 0.713538i | \(0.252909\pi\) | |||||||
\(464\) | 0.744520 | + | 1.28955i | 0.0345635 | + | 0.0598657i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.4883 | − | 18.1663i | 0.485863 | − | 0.841540i | ||||
\(467\) | 8.07034 | 0.373451 | 0.186725 | − | 0.982412i | \(-0.440213\pi\) | ||||
0.186725 | + | 0.982412i | \(0.440213\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −14.8460 | −0.685526 | ||||||||
\(470\) | −2.42960 | + | 4.20819i | −0.112069 | + | 0.194109i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −18.8232 | − | 32.6028i | −0.866410 | − | 1.50067i | ||||
\(473\) | 1.90987 | 0.0878158 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.55220 | + | 2.68848i | 0.0712196 | + | 0.123356i | ||||
\(476\) | 5.63168 | 0.258128 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 8.32517 | − | 14.4196i | 0.380785 | − | 0.659538i | ||||
\(479\) | 18.6079 | − | 32.2299i | 0.850218 | − | 1.47262i | −0.0307941 | − | 0.999526i | \(-0.509804\pi\) |
0.881012 | − | 0.473094i | \(-0.156863\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.493299 | − | 2.00078i | 0.0224925 | − | 0.0912276i | ||||
\(482\) | 26.6292 | 1.21293 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.81606 | + | 8.34165i | −0.218912 | + | 0.379166i | ||||
\(485\) | −2.90021 | − | 5.02331i | −0.131692 | − | 0.228097i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 5.72861 | + | 9.92224i | 0.259588 | + | 0.449619i | 0.966132 | − | 0.258050i | \(-0.0830799\pi\) |
−0.706544 | + | 0.707669i | \(0.749747\pi\) | |||||||
\(488\) | 9.78167 | + | 16.9423i | 0.442795 | + | 0.766944i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −2.15622 | − | 3.73469i | −0.0974082 | − | 0.168716i | ||||
\(491\) | 10.5519 | − | 18.2765i | 0.476202 | − | 0.824807i | −0.523426 | − | 0.852071i | \(-0.675346\pi\) |
0.999628 | + | 0.0272644i | \(0.00867959\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 8.49971 | 0.382808 | ||||||||
\(494\) | 10.1747 | − | 2.94635i | 0.457782 | − | 0.132563i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.759847 | + | 1.31609i | −0.0341181 | + | 0.0590943i | ||||
\(497\) | −0.953572 | + | 1.65164i | −0.0427736 | + | 0.0740860i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −19.9900 | −0.894876 | −0.447438 | − | 0.894315i | \(-0.647663\pi\) | ||||
−0.447438 | + | 0.894315i | \(0.647663\pi\) | |||||||
\(500\) | −0.552196 | − | 0.956432i | −0.0246950 | − | 0.0427729i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 26.5761 | 1.18615 | ||||||||
\(503\) | −5.37097 | − | 9.30280i | −0.239480 | − | 0.414791i | 0.721085 | − | 0.692846i | \(-0.243644\pi\) |
−0.960565 | + | 0.278055i | \(0.910310\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.02001 | − | 5.23081i | 0.134389 | − | 0.232768i | ||||
\(506\) | 4.19668 | 0.186565 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.39780 | 0.372592 | ||||||||
\(509\) | −1.11592 | + | 1.93284i | −0.0494624 | + | 0.0856715i | −0.889697 | − | 0.456552i | \(-0.849084\pi\) |
0.840234 | + | 0.542224i | \(0.182417\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.0649 | − | 17.4330i | −0.445246 | − | 0.771189i | ||||
\(512\) | −6.40728 | −0.283164 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −14.3168 | − | 24.7975i | −0.631488 | − | 1.09377i | ||||
\(515\) | 9.34411 | 0.411751 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.87514 | − | 6.71193i | 0.170428 | − | 0.295190i | ||||
\(518\) | 0.422713 | − | 0.732161i | 0.0185729 | − | 0.0321693i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −10.1747 | + | 2.94635i | −0.446190 | + | 0.129206i | ||||
\(521\) | 33.9482 | 1.48730 | 0.743649 | − | 0.668570i | \(-0.233093\pi\) | ||||
0.743649 | + | 0.668570i | \(0.233093\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.60173 | + | 4.50633i | −0.113766 | + | 0.197048i | −0.917286 | − | 0.398230i | \(-0.869625\pi\) |
0.803520 | + | 0.595278i | \(0.202958\pi\) | |||||||
\(524\) | 10.5101 | + | 18.2040i | 0.459134 | + | 0.795243i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.3078 | + | 23.0498i | 0.580248 | + | 1.00502i | ||||
\(527\) | 4.33734 | + | 7.51250i | 0.188938 | + | 0.327250i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.18440 | + | 12.4437i | 0.312365 | + | 0.541033i | ||||
\(530\) | 1.38043 | − | 2.39098i | 0.0599621 | − | 0.103857i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −5.35889 | −0.232337 | ||||||||
\(533\) | 4.90940 | − | 19.9121i | 0.212650 | − | 0.862490i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.50519 | + | 9.53526i | −0.238010 | + | 0.412245i | ||||
\(536\) | 13.9521 | − | 24.1658i | 0.602641 | − | 1.04380i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 19.6126 | 0.845561 | ||||||||
\(539\) | 3.43911 | + | 5.95671i | 0.148133 | + | 0.256574i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.87388 | −0.252538 | −0.126269 | − | 0.991996i | \(-0.540300\pi\) | ||||
−0.126269 | + | 0.991996i | \(0.540300\pi\) | |||||||
\(542\) | 3.76093 | + | 6.51413i | 0.161546 | + | 0.279806i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −8.70234 | + | 15.0729i | −0.373110 | + | 0.646245i | ||||
\(545\) | −18.5677 | −0.795352 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 43.6009 | 1.86424 | 0.932119 | − | 0.362151i | \(-0.117958\pi\) | ||||
0.932119 | + | 0.362151i | \(0.117958\pi\) | |||||||
\(548\) | −10.5295 | + | 18.2377i | −0.449799 | + | 0.779074i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.714233 | − | 1.23709i | −0.0304550 | − | 0.0527496i | ||||
\(551\) | −8.08800 | −0.344560 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 6.06907 | + | 10.5119i | 0.258083 | + | 0.447013i | ||||
\(554\) | −5.84133 | −0.248174 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.18856 | + | 14.1830i | −0.347272 | + | 0.601493i | ||||
\(557\) | 17.8250 | − | 30.8737i | 0.755268 | − | 1.30816i | −0.189973 | − | 0.981789i | \(-0.560840\pi\) |
0.945241 | − | 0.326373i | \(-0.105827\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.28996 | + | 3.16050i | 0.139151 | + | 0.133675i | ||||
\(560\) | −0.893340 | −0.0377505 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.78811 | − | 15.2215i | 0.370704 | − | 0.642079i | ||||
\(563\) | −9.10954 | − | 15.7782i | −0.383921 | − | 0.664971i | 0.607698 | − | 0.794168i | \(-0.292093\pi\) |
−0.991619 | + | 0.129197i | \(0.958760\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −6.52151 | − | 11.2956i | −0.274362 | − | 0.475209i | ||||
\(566\) | 3.44435 | + | 5.96580i | 0.144777 | + | 0.250761i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.79231 | − | 3.10438i | −0.0752038 | − | 0.130257i | ||||
\(569\) | −13.2713 | + | 22.9866i | −0.556362 | + | 0.963648i | 0.441434 | + | 0.897294i | \(0.354470\pi\) |
−0.997796 | + | 0.0663539i | \(0.978863\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 26.7099 | 1.11778 | 0.558888 | − | 0.829243i | \(-0.311228\pi\) | ||||
0.558888 | + | 0.829243i | \(0.311228\pi\) | |||||||
\(572\) | 5.77325 | − | 1.67180i | 0.241392 | − | 0.0699014i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.20692 | − | 7.28660i | 0.175593 | − | 0.304137i | ||||
\(575\) | −1.46894 | + | 2.54429i | −0.0612592 | + | 0.106104i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −12.0139 | −0.500144 | −0.250072 | − | 0.968227i | \(-0.580454\pi\) | ||||
−0.250072 | + | 0.968227i | \(0.580454\pi\) | |||||||
\(578\) | 3.00784 | + | 5.20974i | 0.125110 | + | 0.216697i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 2.87732 | 0.119474 | ||||||||
\(581\) | 8.77754 | + | 15.2031i | 0.364154 | + | 0.630733i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.20174 | + | 3.81353i | −0.0911869 | + | 0.157940i | ||||
\(584\) | 37.8356 | 1.56565 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.09657 | −0.251847 | ||||||||
\(587\) | 21.6560 | − | 37.5093i | 0.893840 | − | 1.54818i | 0.0586057 | − | 0.998281i | \(-0.481335\pi\) |
0.835234 | − | 0.549895i | \(-0.185332\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.12725 | − | 7.14861i | −0.170060 | − | 0.294553i | ||||
\(590\) | 12.1268 | 0.499254 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.163325 | + | 0.282888i | 0.00671263 | + | 0.0116266i | ||||
\(593\) | −1.84854 | −0.0759104 | −0.0379552 | − | 0.999279i | \(-0.512084\pi\) | ||||
−0.0379552 | + | 0.999279i | \(0.512084\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.54967 | + | 4.41617i | −0.104526 | + | 0.181045i | ||||
\(596\) | −12.3028 | + | 21.3091i | −0.503944 | + | 0.872856i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 7.22926 | + | 6.94479i | 0.295626 | + | 0.283993i | ||||
\(599\) | 25.2041 | 1.02981 | 0.514906 | − | 0.857247i | \(-0.327827\pi\) | ||||
0.514906 | + | 0.857247i | \(0.327827\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.04333 | + | 7.00325i | −0.164931 | + | 0.285669i | −0.936631 | − | 0.350318i | \(-0.886073\pi\) |
0.771700 | + | 0.635987i | \(0.219407\pi\) | |||||||
\(602\) | 0.935828 | + | 1.62090i | 0.0381415 | + | 0.0660630i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −9.27117 | − | 16.0581i | −0.377238 | − | 0.653396i | ||||
\(605\) | −4.36082 | − | 7.55316i | −0.177293 | − | 0.307080i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −22.5197 | − | 39.0052i | −0.914045 | − | 1.58317i | −0.808293 | − | 0.588780i | \(-0.799608\pi\) |
−0.105752 | − | 0.994393i | \(-0.533725\pi\) | |||||||
\(608\) | 8.28081 | − | 14.3428i | 0.335831 | − | 0.581677i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.30182 | −0.255153 | ||||||||
\(611\) | 17.7825 | − | 5.14938i | 0.719402 | − | 0.208322i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 20.6480 | − | 35.7634i | 0.833965 | − | 1.44447i | −0.0609049 | − | 0.998144i | \(-0.519399\pi\) |
0.894870 | − | 0.446327i | \(-0.147268\pi\) | |||||||
\(614\) | −2.34036 | + | 4.05362i | −0.0944492 | + | 0.163591i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.93141 | 0.279275 | ||||||||
\(617\) | 3.43181 | + | 5.94406i | 0.138159 | + | 0.239299i | 0.926800 | − | 0.375555i | \(-0.122548\pi\) |
−0.788641 | + | 0.614855i | \(0.789215\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −37.3813 | −1.50248 | −0.751241 | − | 0.660028i | \(-0.770544\pi\) | ||||
−0.751241 | + | 0.660028i | \(0.770544\pi\) | |||||||
\(620\) | 1.46828 | + | 2.54313i | 0.0589674 | + | 0.102134i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 14.2185 | − | 24.6271i | 0.570109 | − | 0.987458i | ||||
\(623\) | 1.24547 | 0.0498986 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 2.16538 | − | 3.75055i | 0.0865460 | − | 0.149902i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.80170 | + | 3.12064i | 0.0718957 | + | 0.124527i | ||||
\(629\) | 1.86458 | 0.0743457 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.40493 | − | 7.62957i | −0.175358 | − | 0.303728i | 0.764927 | − | 0.644117i | \(-0.222775\pi\) |
−0.940285 | + | 0.340388i | \(0.889441\pi\) | |||||||
\(632\) | −22.8146 | −0.907515 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.714316 | − | 1.23723i | 0.0283691 | − | 0.0491367i | ||||
\(635\) | −3.80200 | + | 6.58526i | −0.150878 | + | 0.261328i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3.93308 | + | 15.9523i | −0.155834 | + | 0.632051i | ||||
\(638\) | 3.72164 | 0.147341 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.40503 | + | 4.16564i | −0.0950672 | + | 0.164661i | ||||
\(641\) | −4.08665 | − | 7.07829i | −0.161413 | − | 0.279576i | 0.773963 | − | 0.633231i | \(-0.218272\pi\) |
−0.935376 | + | 0.353656i | \(0.884938\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.6636 | − | 21.9339i | −0.499402 | − | 0.864989i | 0.500598 | − | 0.865680i | \(-0.333113\pi\) |
−1.00000 | 0.000690710i | \(0.999780\pi\) | ||||||||
\(644\) | −2.53574 | − | 4.39202i | −0.0999220 | − | 0.173070i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.79231 | + | 8.30053i | 0.188551 | + | 0.326580i | ||||
\(647\) | −0.573255 | + | 0.992906i | −0.0225370 | + | 0.0390352i | −0.877074 | − | 0.480355i | \(-0.840508\pi\) |
0.854537 | + | 0.519391i | \(0.173841\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −19.3419 | −0.759238 | ||||||||
\(650\) | 0.816822 | − | 3.31296i | 0.0320384 | − | 0.129945i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.73693 | − | 3.00845i | 0.0680233 | − | 0.117820i | ||||
\(653\) | −11.4214 | + | 19.7825i | −0.446956 | + | 0.774150i | −0.998186 | − | 0.0602031i | \(-0.980825\pi\) |
0.551231 | + | 0.834353i | \(0.314158\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −19.0332 | −0.743689 | ||||||||
\(656\) | 1.62544 | + | 2.81535i | 0.0634629 | + | 0.109921i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 7.59521 | 0.296092 | ||||||||
\(659\) | 9.54096 | + | 16.5254i | 0.371663 | + | 0.643739i | 0.989822 | − | 0.142314i | \(-0.0454543\pi\) |
−0.618158 | + | 0.786054i | \(0.712121\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −5.79424 | + | 10.0359i | −0.225370 | + | 0.390352i | −0.956430 | − | 0.291961i | \(-0.905692\pi\) |
0.731060 | + | 0.682313i | \(0.239026\pi\) | |||||||
\(662\) | 7.91057 | 0.307453 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −32.9961 | −1.28050 | ||||||||
\(665\) | 2.42617 | − | 4.20225i | 0.0940829 | − | 0.162956i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.82710 | − | 6.62873i | −0.148186 | − | 0.256666i | ||||
\(668\) | 11.5164 | 0.445585 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.49432 | + | 7.78440i | 0.173631 | + | 0.300738i | ||||
\(671\) | 10.0512 | 0.388023 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.7188 | + | 30.6899i | −0.683010 | + | 1.18301i | 0.291048 | + | 0.956708i | \(0.405996\pi\) |
−0.974058 | + | 0.226299i | \(0.927337\pi\) | |||||||
\(674\) | −7.35134 | + | 12.7329i | −0.283163 | + | 0.490453i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.7116 | + | 6.67389i | 0.488909 | + | 0.256688i | ||||
\(677\) | −30.5442 | −1.17391 | −0.586954 | − | 0.809620i | \(-0.699673\pi\) | ||||
−0.586954 | + | 0.809620i | \(0.699673\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.53320 | + | 7.85173i | −0.173968 | + | 0.301322i | ||||
\(680\) | −4.79231 | − | 8.30053i | −0.183777 | − | 0.318311i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.89913 | + | 3.28939i | 0.0727214 | + | 0.125957i | ||||
\(683\) | 9.78636 | + | 16.9505i | 0.374465 | + | 0.648592i | 0.990247 | − | 0.139325i | \(-0.0444932\pi\) |
−0.615782 | + | 0.787916i | \(0.711160\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −9.53422 | − | 16.5138i | −0.364284 | − | 0.630958i | ||||
\(686\) | −8.54759 | + | 14.8049i | −0.326348 | + | 0.565252i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.723159 | −0.0275702 | ||||||||
\(689\) | −10.1035 | + | 2.92573i | −0.384913 | + | 0.111462i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.38548 | − | 14.5241i | 0.318999 | − | 0.552522i | −0.661281 | − | 0.750138i | \(-0.729987\pi\) |
0.980279 | + | 0.197617i | \(0.0633202\pi\) | |||||||
\(692\) | 6.85026 | − | 11.8650i | 0.260408 | − | 0.451040i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.47087 | −0.207671 | ||||||||
\(695\) | −7.41454 | − | 12.8424i | −0.281250 | − | 0.487139i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.5567 | 0.702884 | ||||||||
\(698\) | −2.58180 | − | 4.47181i | −0.0977226 | − | 0.169260i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.863114 | + | 1.49496i | −0.0326227 | + | 0.0565041i | ||||
\(701\) | −40.4052 | −1.52608 | −0.763041 | − | 0.646350i | \(-0.776294\pi\) | ||||
−0.763041 | + | 0.646350i | \(0.776294\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.77426 | −0.0669176 | ||||||||
\(704\) | −4.67305 | + | 8.09396i | −0.176122 | + | 0.305053i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 5.80240 | + | 10.0501i | 0.218376 | + | 0.378239i | ||||
\(707\) | −9.44089 | −0.355061 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −8.69058 | − | 15.0525i | −0.326382 | − | 0.565310i | 0.655409 | − | 0.755274i | \(-0.272496\pi\) |
−0.981791 | + | 0.189964i | \(0.939163\pi\) | |||||||
\(710\) | 1.15470 | 0.0433349 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.17048 | + | 2.02733i | −0.0438655 | + | 0.0759772i | ||||
\(713\) | 3.90589 | − | 6.76519i | 0.146277 | − | 0.253359i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.30281 | + | 5.28407i | −0.0487222 | + | 0.197613i | ||||
\(716\) | 10.1201 | 0.378207 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 12.9892 | − | 22.4980i | 0.484754 | − | 0.839618i | ||||
\(719\) | 1.23074 | + | 2.13171i | 0.0458990 | + | 0.0794995i | 0.888062 | − | 0.459723i | \(-0.152051\pi\) |
−0.842163 | + | 0.539223i | \(0.818718\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.30269 | − | 12.6486i | −0.271966 | − | 0.471060i | ||||
\(722\) | 4.43029 | + | 7.67349i | 0.164878 | + | 0.285578i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.60129 | − | 4.50557i | −0.0966763 | − | 0.167448i | ||||
\(725\) | −1.30267 | + | 2.25629i | −0.0483799 | + | 0.0837965i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.0547 | 1.11467 | 0.557333 | − | 0.830289i | \(-0.311825\pi\) | ||||
0.557333 | + | 0.830289i | \(0.311825\pi\) | |||||||
\(728\) | 11.9401 | + | 11.4703i | 0.442531 | + | 0.425118i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.09389 | + | 10.5549i | −0.225545 | + | 0.390655i | ||||
\(731\) | −2.06396 | + | 3.57489i | −0.0763384 | + | 0.132222i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.4533 | 0.681587 | 0.340794 | − | 0.940138i | \(-0.389304\pi\) | ||||
0.340794 | + | 0.940138i | \(0.389304\pi\) | |||||||
\(734\) | −16.0040 | − | 27.7198i | −0.590719 | − | 1.02316i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 15.6733 | 0.577727 | ||||||||
\(737\) | −7.16831 | − | 12.4159i | −0.264048 | − | 0.457344i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −17.8603 | + | 30.9349i | −0.657002 | + | 1.13796i | 0.324386 | + | 0.945925i | \(0.394842\pi\) |
−0.981388 | + | 0.192036i | \(0.938491\pi\) | |||||||
\(740\) | 0.631197 | 0.0232033 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.31539 | −0.158423 | ||||||||
\(743\) | −5.57372 | + | 9.65396i | −0.204480 | + | 0.354170i | −0.949967 | − | 0.312351i | \(-0.898884\pi\) |
0.745487 | + | 0.666520i | \(0.232217\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.1399 | − | 19.2949i | −0.408135 | − | 0.706910i | ||||
\(746\) | −2.88823 | −0.105746 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.71922 | + | 4.70982i | 0.0994245 | + | 0.172208i | ||||
\(749\) | 17.2098 | 0.628834 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.32279 | + | 10.9514i | −0.230722 | + | 0.399622i | −0.958021 | − | 0.286699i | \(-0.907442\pi\) |
0.727299 | + | 0.686321i | \(0.240775\pi\) | |||||||
\(752\) | −1.46730 | + | 2.54143i | −0.0535068 | + | 0.0926764i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 6.41095 | + | 6.15868i | 0.233473 | + | 0.224286i | ||||
\(755\) | 16.7896 | 0.611037 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.77640 | + | 4.80887i | −0.100910 | + | 0.174781i | −0.912060 | − | 0.410057i | \(-0.865509\pi\) |
0.811150 | + | 0.584839i | \(0.198842\pi\) | |||||||
\(758\) | 1.42531 | + | 2.46871i | 0.0517696 | + | 0.0896676i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.56018 | + | 7.89847i | 0.165415 | + | 0.286507i | ||||
\(761\) | −15.1323 | − | 26.2099i | −0.548544 | − | 0.950106i | −0.998375 | − | 0.0569925i | \(-0.981849\pi\) |
0.449830 | − | 0.893114i | \(-0.351484\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 14.5112 | + | 25.1341i | 0.525340 | + | 0.909915i | ||||
\(764\) | −8.36608 | + | 14.4905i | −0.302674 | + | 0.524247i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 3.04650 | 0.110074 | ||||||||
\(767\) | −33.3187 | − | 32.0076i | −1.20307 | − | 1.15573i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.1245 | − | 45.2489i | 0.942072 | − | 1.63172i | 0.180562 | − | 0.983564i | \(-0.442208\pi\) |
0.761510 | − | 0.648153i | \(-0.224458\pi\) | |||||||
\(770\) | −1.11639 | + | 1.93364i | −0.0402318 | + | 0.0696836i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −11.3642 | −0.409007 | ||||||||
\(773\) | 19.7389 | + | 34.1887i | 0.709957 | + | 1.22968i | 0.964872 | + | 0.262719i | \(0.0846192\pi\) |
−0.254915 | + | 0.966963i | \(0.582048\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.65897 | −0.0955132 | ||||||||
\(776\) | −8.52050 | − | 14.7579i | −0.305868 | − | 0.529779i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.05988 | − | 10.4960i | 0.217257 | − | 0.376300i | ||||
\(779\) | −17.6578 | −0.632657 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.84170 | −0.0659013 | ||||||||
\(782\) | −4.53528 | + | 7.85534i | −0.162181 | + | 0.280906i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.30220 | − | 2.25547i | −0.0465070 | − | 0.0805525i | ||||
\(785\) | −3.26279 | −0.116454 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.6650 | + | 27.1326i | 0.558396 | + | 0.967171i | 0.997631 | + | 0.0687984i | \(0.0219165\pi\) |
−0.439234 | + | 0.898373i | \(0.644750\pi\) | |||||||
\(788\) | −5.73193 | −0.204192 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.67456 | − | 6.36453i | 0.130735 | − | 0.226440i | ||||
\(791\) | −10.1935 | + | 17.6556i | −0.362439 | + | 0.627762i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 17.3144 | + | 16.6330i | 0.614851 | + | 0.590657i | ||||
\(794\) | −32.3894 | −1.14946 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.96750 | + | 12.0681i | −0.246956 | + | 0.427741i | ||||
\(797\) | −7.46182 | − | 12.9243i | −0.264311 | − | 0.457801i | 0.703072 | − | 0.711119i | \(-0.251811\pi\) |
−0.967383 | + | 0.253318i | \(0.918478\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 8.37559 | + | 14.5070i | 0.296307 | + | 0.513219i | ||||
\(800\) | −2.66745 | − | 4.62016i | −0.0943086 | − | 0.163347i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −12.3929 | − | 21.4652i | −0.437610 | − | 0.757963i | ||||
\(803\) | 9.71956 | − | 16.8348i | 0.342996 | − | 0.594086i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.59209 | 0.161850 | ||||||||
\(806\) | −2.17191 | + | 8.80908i | −0.0765022 | + | 0.310286i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.87245 | − | 15.3675i | 0.312132 | − | 0.540628i | ||||
\(809\) | −2.64058 | + | 4.57362i | −0.0928379 | + | 0.160800i | −0.908704 | − | 0.417441i | \(-0.862927\pi\) |
0.815866 | + | 0.578241i | \(0.196261\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 18.5871 | 0.652682 | 0.326341 | − | 0.945252i | \(-0.394184\pi\) | ||||
0.326341 | + | 0.945252i | \(0.394184\pi\) | |||||||
\(812\) | −2.24871 | − | 3.89487i | −0.0789141 | − | 0.136683i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.816417 | 0.0286154 | ||||||||
\(815\) | 1.57274 | + | 2.72407i | 0.0550908 | + | 0.0954201i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.96399 | − | 3.40172i | 0.0687112 | − | 0.119011i | ||||
\(818\) | 13.5271 | 0.472963 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 6.28179 | 0.219370 | ||||||||
\(821\) | −16.6136 | + | 28.7755i | −0.579817 | + | 1.00427i | 0.415682 | + | 0.909510i | \(0.363543\pi\) |
−0.995500 | + | 0.0947634i | \(0.969791\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.88588 | − | 13.6587i | −0.274884 | − | 0.476114i | 0.695221 | − | 0.718796i | \(-0.255306\pi\) |
−0.970106 | + | 0.242682i | \(0.921973\pi\) | |||||||
\(824\) | 27.4520 | 0.956334 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.47748 | − | 16.4155i | −0.329764 | − | 0.571168i | ||||
\(827\) | −1.81664 | −0.0631709 | −0.0315854 | − | 0.999501i | \(-0.510056\pi\) | ||||
−0.0315854 | + | 0.999501i | \(0.510056\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.8025 | + | 25.6387i | −0.514112 | + | 0.890468i | 0.485754 | + | 0.874096i | \(0.338545\pi\) |
−0.999866 | + | 0.0163726i | \(0.994788\pi\) | |||||||
\(830\) | 5.31443 | − | 9.20486i | 0.184467 | − | 0.319505i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −21.4440 | + | 6.20967i | −0.743436 | + | 0.215282i | ||||
\(833\) | −14.8664 | −0.515089 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.21393 | + | 9.03079i | −0.180435 | + | 0.312523i | ||||
\(836\) | −2.58750 | − | 4.48169i | −0.0894907 | − | 0.155002i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 11.1127 | + | 19.2478i | 0.383882 | + | 0.664904i | ||||
\(839\) | 3.46542 | + | 6.00229i | 0.119640 | + | 0.207222i | 0.919625 | − | 0.392798i | \(-0.128493\pi\) |
−0.799985 | + | 0.600020i | \(0.795159\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.1061 | + | 19.2363i | 0.382969 | + | 0.663322i | ||||
\(842\) | 6.03865 | − | 10.4593i | 0.208106 | − | 0.360450i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 6.74691 | 0.232238 | ||||||||
\(845\) | −10.9885 | + | 6.94649i | −0.378015 | + | 0.238966i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.81621 | + | 11.8060i | −0.234208 | + | 0.405660i | ||||
\(848\) | 0.833676 | − | 1.44397i | 0.0286286 | − | 0.0495861i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.08744 | 0.105898 | ||||||||
\(851\) | −0.839551 | − | 1.45415i | −0.0287794 | − | 0.0498475i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.90807 | 0.236528 | 0.118264 | − | 0.992982i | \(-0.462267\pi\) | ||||
0.118264 | + | 0.992982i | \(0.462267\pi\) | |||||||
\(854\) | 4.92506 | + | 8.53045i | 0.168532 | + | 0.291906i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −16.1736 | + | 28.0135i | −0.552803 | + | 0.957483i | ||||
\(857\) | −29.6052 | −1.01129 | −0.505646 | − | 0.862741i | \(-0.668746\pi\) | ||||
−0.505646 | + | 0.862741i | \(0.668746\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −51.0371 | −1.74136 | −0.870681 | − | 0.491848i | \(-0.836322\pi\) | ||||
−0.870681 | + | 0.491848i | \(0.836322\pi\) | |||||||
\(860\) | −0.698691 | + | 1.21017i | −0.0238252 | + | 0.0412664i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.95403 | + | 12.0447i | 0.236855 | + | 0.410245i | ||||
\(863\) | −22.2757 | −0.758272 | −0.379136 | − | 0.925341i | \(-0.623779\pi\) | ||||
−0.379136 | + | 0.925341i | \(0.623779\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.20274 | + | 10.7435i | 0.210900 | + | 0.365289i | ||||
\(866\) | −18.4771 | −0.627879 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2.29500 | − | 3.97506i | 0.0778974 | − | 0.134922i | ||||
\(869\) | −5.86082 | + | 10.1512i | −0.198815 | + | 0.344357i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.19792 | − | 33.2501i | 0.277776 | − | 1.12664i | ||||
\(872\) | −54.5498 | −1.84729 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.31560 | − | 7.47484i | 0.145977 | − | 0.252840i | ||||
\(875\) | −0.781529 | − | 1.35365i | −0.0264205 | − | 0.0457616i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −6.99768 | − | 12.1203i | −0.236295 | − | 0.409275i | 0.723353 | − | 0.690478i | \(-0.242600\pi\) |
−0.959648 | + | 0.281203i | \(0.909266\pi\) | |||||||
\(878\) | −14.3923 | − | 24.9282i | −0.485717 | − | 0.841287i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.431343 | − | 0.747108i | −0.0145406 | − | 0.0251850i | ||||
\(881\) | 27.8497 | − | 48.2370i | 0.938279 | − | 1.62515i | 0.169600 | − | 0.985513i | \(-0.445752\pi\) |
0.768679 | − | 0.639634i | \(-0.220914\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 35.1425 | 1.18264 | 0.591320 | − | 0.806437i | \(-0.298607\pi\) | ||||
0.591320 | + | 0.806437i | \(0.298607\pi\) | |||||||
\(884\) | −3.10979 | + | 12.6131i | −0.104594 | + | 0.424223i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.18105 | + | 7.24180i | −0.140465 | + | 0.243293i | ||||
\(887\) | −18.2086 | + | 31.5383i | −0.611386 | + | 1.05895i | 0.379622 | + | 0.925142i | \(0.376054\pi\) |
−0.991007 | + | 0.133809i | \(0.957279\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.8855 | 0.398627 | ||||||||
\(890\) | −0.377039 | − | 0.653051i | −0.0126384 | − | 0.0218903i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7.04230 | 0.235794 | ||||||||
\(893\) | −7.96989 | − | 13.8043i | −0.266702 | − | 0.461942i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.58176 | + | 7.93585i | −0.153152 | + | 0.265266i | ||||
\(896\) | 7.51841 | 0.251172 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −19.9876 | −0.666994 | ||||||||
\(899\) | 3.46377 | − | 5.99942i | 0.115523 | − | 0.200092i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.75878 | − | 8.24245i | −0.158538 | − | 0.274596i | ||||
\(902\) | 8.12513 | 0.270537 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −19.1595 | − | 33.1852i | −0.637234 | − | 1.10372i | ||||
\(905\) | 4.71081 | 0.156593 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.9265 | + | 18.9253i | −0.362809 | + | 0.628403i | −0.988422 | − | 0.151730i | \(-0.951516\pi\) |
0.625613 | + | 0.780133i | \(0.284849\pi\) | |||||||
\(908\) | −7.42739 | + | 12.8646i | −0.246487 | + | 0.426927i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.12295 | + | 1.48349i | −0.169824 | + | 0.0491770i | ||||
\(911\) | −10.6483 | −0.352794 | −0.176397 | − | 0.984319i | \(-0.556444\pi\) | ||||
−0.176397 | + | 0.984319i | \(0.556444\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.47635 | + | 14.6815i | −0.280526 | + | 0.485886i | ||||
\(914\) | −18.6521 | − | 32.3064i | −0.616957 | − | 1.06860i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.05002 | − | 8.74689i | −0.166857 | − | 0.289005i | ||||
\(917\) | 14.8750 | + | 25.7642i | 0.491216 | + | 0.850810i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 23.9865 | + | 41.5459i | 0.791243 | + | 1.37047i | 0.925198 | + | 0.379485i | \(0.123899\pi\) |
−0.133955 | + | 0.990987i | \(0.542768\pi\) | |||||||
\(920\) | −4.31560 | + | 7.47484i | −0.142281 | + | 0.246438i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.401405 | 0.0132196 | ||||||||
\(923\) | −3.17254 | − | 3.04770i | −0.104426 | − | 0.100316i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.285767 | + | 0.494963i | −0.00939595 | + | 0.0162743i | ||||
\(926\) | −14.2669 | + | 24.7110i | −0.468839 | + | 0.812054i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 13.8992 | 0.456265 | ||||||||
\(929\) | −6.61228 | − | 11.4528i | −0.216942 | − | 0.375754i | 0.736930 | − | 0.675969i | \(-0.236275\pi\) |
−0.953872 | + | 0.300215i | \(0.902942\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 14.1462 | 0.463625 | ||||||||
\(932\) | −12.2397 | − | 21.1998i | −0.400925 | − | 0.694423i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −3.81874 | + | 6.61426i | −0.124953 | + | 0.216425i | ||||
\(935\) | −4.92437 | −0.161044 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 46.3689 | 1.51481 | 0.757403 | − | 0.652948i | \(-0.226468\pi\) | ||||
0.757403 | + | 0.652948i | \(0.226468\pi\) | |||||||
\(938\) | 7.02489 | − | 12.1675i | 0.229371 | − | 0.397282i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.83530 | + | 4.91089i | 0.0924773 | + | 0.160175i | ||||
\(941\) | −13.3676 | −0.435772 | −0.217886 | − | 0.975974i | \(-0.569916\pi\) | ||||
−0.217886 | + | 0.975974i | \(0.569916\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.35537 | − | 14.4719i | −0.272088 | − | 0.471271i | ||||
\(944\) | 7.32370 | 0.238366 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.903716 | + | 1.56528i | −0.0293823 | + | 0.0508917i | ||||
\(947\) | 20.3814 | − | 35.3017i | 0.662307 | − | 1.14715i | −0.317700 | − | 0.948191i | \(-0.602911\pi\) |
0.980008 | − | 0.198959i | \(-0.0637561\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 44.6017 | − | 12.9156i | 1.44783 | − | 0.419258i | ||||
\(950\) | −2.93789 | −0.0953177 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.49066 | + | 12.9742i | −0.242774 | + | 0.420497i | ||||
\(953\) | 24.3152 | + | 42.1151i | 0.787645 | + | 1.36424i | 0.927406 | + | 0.374057i | \(0.122033\pi\) |
−0.139760 | + | 0.990185i | \(0.544633\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −7.57528 | − | 13.1208i | −0.245130 | − | 0.424578i | ||||
\(956\) | −9.71533 | − | 16.8274i | −0.314216 | − | 0.544239i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 17.6099 | + | 30.5012i | 0.568950 | + | 0.985450i | ||||
\(959\) | −14.9025 | + | 25.8120i | −0.481228 | + | 0.833511i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.9299 | −0.771931 | ||||||||
\(962\) | 1.40637 | + | 1.35103i | 0.0453432 | + | 0.0435590i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 15.5379 | − | 26.9125i | 0.500443 | − | 0.866792i | ||||
\(965\) | 5.14501 | − | 8.91142i | 0.165624 | − | 0.286869i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −36.5694 | −1.17599 | −0.587996 | − | 0.808864i | \(-0.700083\pi\) | ||||
−0.587996 | + | 0.808864i | \(0.700083\pi\) | |||||||
\(968\) | −12.8116 | − | 22.1904i | −0.411781 | − | 0.713225i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.48932 | 0.176251 | ||||||||
\(971\) | 24.8685 | + | 43.0735i | 0.798068 | + | 1.38229i | 0.920873 | + | 0.389863i | \(0.127478\pi\) |
−0.122805 | + | 0.992431i | \(0.539189\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −11.5894 | + | 20.0734i | −0.371538 | + | 0.643522i | ||||
\(974\) | −10.8427 | −0.347423 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.80583 | −0.121822 | ||||||||
\(977\) | 9.50095 | − | 16.4561i | 0.303962 | − | 0.526478i | −0.673067 | − | 0.739581i | \(-0.735024\pi\) |
0.977030 | + | 0.213103i | \(0.0683570\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.601365 | + | 1.04160i | 0.0192197 | + | 0.0332895i | ||||
\(980\) | −5.03255 | −0.160759 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.98600 | + | 17.2963i | 0.318666 | + | 0.551946i | ||||
\(983\) | 3.16020 | 0.100795 | 0.0503974 | − | 0.998729i | \(-0.483951\pi\) | ||||
0.0503974 | + | 0.998729i | \(0.483951\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.59506 | − | 4.49478i | 0.0826855 | − | 0.143216i | ||||
\(986\) | −4.02192 | + | 6.96616i | −0.128084 | + | 0.221848i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.95916 | − | 12.0021i | 0.0941434 | − | 0.381838i | ||||
\(989\) | 3.71730 | 0.118203 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.75746 | − | 13.4363i | 0.246424 | − | 0.426819i | −0.716107 | − | 0.697990i | \(-0.754078\pi\) |
0.962531 | + | 0.271172i | \(0.0874111\pi\) | |||||||
\(992\) | 7.09268 | + | 12.2849i | 0.225193 | + | 0.390045i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.902428 | − | 1.56305i | −0.0286233 | − | 0.0495770i | ||||
\(995\) | −6.30890 | − | 10.9273i | −0.200005 | − | 0.346420i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −8.40480 | − | 14.5575i | −0.266183 | − | 0.461042i | 0.701690 | − | 0.712482i | \(-0.252429\pi\) |
−0.967873 | + | 0.251440i | \(0.919096\pi\) | |||||||
\(998\) | 9.45893 | − | 16.3834i | 0.299417 | − | 0.518606i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 585.2.j.i.451.2 | yes | 10 | |
3.2 | odd | 2 | 585.2.j.h.451.4 | yes | 10 | ||
13.3 | even | 3 | inner | 585.2.j.i.406.2 | yes | 10 | |
13.4 | even | 6 | 7605.2.a.cn.1.2 | 5 | |||
13.9 | even | 3 | 7605.2.a.cm.1.4 | 5 | |||
39.17 | odd | 6 | 7605.2.a.cl.1.4 | 5 | |||
39.29 | odd | 6 | 585.2.j.h.406.4 | ✓ | 10 | ||
39.35 | odd | 6 | 7605.2.a.co.1.2 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
585.2.j.h.406.4 | ✓ | 10 | 39.29 | odd | 6 | ||
585.2.j.h.451.4 | yes | 10 | 3.2 | odd | 2 | ||
585.2.j.i.406.2 | yes | 10 | 13.3 | even | 3 | inner | |
585.2.j.i.451.2 | yes | 10 | 1.1 | even | 1 | trivial | |
7605.2.a.cl.1.4 | 5 | 39.17 | odd | 6 | |||
7605.2.a.cm.1.4 | 5 | 13.9 | even | 3 | |||
7605.2.a.cn.1.2 | 5 | 13.4 | even | 6 | |||
7605.2.a.co.1.2 | 5 | 39.35 | odd | 6 |