Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(46,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.f (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: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 46.3 | ||
Character | \(\chi\) | \(=\) | 927.46 |
Dual form | 927.2.f.f.262.3 |
$q$-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 \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.980806 | − | 1.69881i | −0.693535 | − | 1.20124i | −0.970672 | − | 0.240407i | \(-0.922719\pi\) |
0.277137 | − | 0.960830i | \(-0.410614\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.923962 | + | 1.60035i | −0.461981 | + | 0.800174i | ||||
\(5\) | 0.348567 | − | 0.603736i | 0.155884 | − | 0.269999i | −0.777497 | − | 0.628887i | \(-0.783511\pi\) |
0.933381 | + | 0.358888i | \(0.116844\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.12861 | + | 1.95480i | −0.426573 | + | 0.738846i | −0.996566 | − | 0.0828034i | \(-0.973613\pi\) |
0.569993 | + | 0.821650i | \(0.306946\pi\) | |||||||
\(8\) | −0.298316 | −0.105471 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.36751 | −0.432443 | ||||||||
\(11\) | 1.68707 | − | 2.92208i | 0.508669 | − | 0.881041i | −0.491280 | − | 0.871002i | \(-0.663471\pi\) |
0.999950 | − | 0.0100397i | \(-0.00319579\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.74975 | 0.762643 | 0.381321 | − | 0.924443i | \(-0.375469\pi\) | ||||
0.381321 | + | 0.924443i | \(0.375469\pi\) | |||||||
\(14\) | 4.42778 | 1.18337 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.14051 | + | 3.70748i | 0.535128 | + | 0.926869i | ||||
\(17\) | 2.13676 | − | 3.70098i | 0.518241 | − | 0.897619i | −0.481535 | − | 0.876427i | \(-0.659920\pi\) |
0.999775 | − | 0.0211923i | \(-0.00674621\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.70048 | − | 6.40942i | −0.848949 | − | 1.47042i | −0.882147 | − | 0.470974i | \(-0.843903\pi\) |
0.0331984 | − | 0.999449i | \(-0.489431\pi\) | |||||||
\(20\) | 0.644125 | + | 1.11566i | 0.144031 | + | 0.249468i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.61874 | −1.41112 | ||||||||
\(23\) | −1.81672 | −0.378813 | −0.189407 | − | 0.981899i | \(-0.560656\pi\) | ||||
−0.189407 | + | 0.981899i | \(0.560656\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.25700 | + | 3.90924i | 0.451400 | + | 0.781849i | ||||
\(26\) | −2.69697 | − | 4.67129i | −0.528919 | − | 0.916115i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.08558 | − | 3.61233i | −0.394137 | − | 0.682665i | ||||
\(29\) | −0.0774236 | − | 0.134102i | −0.0143772 | − | 0.0249020i | 0.858747 | − | 0.512399i | \(-0.171243\pi\) |
−0.873124 | + | 0.487497i | \(0.837910\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.60385 | −1.54530 | −0.772649 | − | 0.634834i | \(-0.781069\pi\) | ||||
−0.772649 | + | 0.634834i | \(0.781069\pi\) | |||||||
\(32\) | 3.90054 | − | 6.75594i | 0.689525 | − | 1.19429i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −8.38299 | −1.43767 | ||||||||
\(35\) | 0.786790 | + | 1.36276i | 0.132992 | + | 0.230348i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.211556 | −0.0347795 | −0.0173898 | − | 0.999849i | \(-0.505536\pi\) | ||||
−0.0173898 | + | 0.999849i | \(0.505536\pi\) | |||||||
\(38\) | −7.25891 | + | 12.5728i | −1.17755 | + | 2.03958i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.103983 | + | 0.180104i | −0.0164412 | + | 0.0284769i | ||||
\(41\) | −4.27821 | − | 7.41007i | −0.668143 | − | 1.15726i | −0.978423 | − | 0.206613i | \(-0.933756\pi\) |
0.310279 | − | 0.950645i | \(-0.399577\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.38561 | − | 7.59610i | −0.668799 | − | 1.15839i | −0.978240 | − | 0.207475i | \(-0.933475\pi\) |
0.309441 | − | 0.950919i | \(-0.399858\pi\) | |||||||
\(44\) | 3.11757 | + | 5.39979i | 0.469991 | + | 0.814048i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.78185 | + | 3.08626i | 0.262720 | + | 0.455045i | ||||
\(47\) | 4.88176 | − | 8.45546i | 0.712078 | − | 1.23336i | −0.251998 | − | 0.967728i | \(-0.581088\pi\) |
0.964076 | − | 0.265627i | \(-0.0855790\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.952496 | + | 1.64977i | 0.136071 | + | 0.235682i | ||||
\(50\) | 4.42736 | − | 7.66842i | 0.626124 | − | 1.08448i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.54066 | + | 4.40055i | −0.352326 | + | 0.610247i | ||||
\(53\) | −4.38362 | + | 7.59266i | −0.602137 | + | 1.04293i | 0.390360 | + | 0.920662i | \(0.372351\pi\) |
−0.992497 | + | 0.122269i | \(0.960983\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.17611 | − | 2.03708i | −0.158587 | − | 0.274680i | ||||
\(56\) | 0.336681 | − | 0.583149i | 0.0449909 | − | 0.0779266i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.151875 | + | 0.263055i | −0.0199422 | + | 0.0345409i | ||||
\(59\) | −3.99296 | − | 6.91600i | −0.519839 | − | 0.900387i | −0.999734 | − | 0.0230613i | \(-0.992659\pi\) |
0.479895 | − | 0.877326i | \(-0.340675\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.65165 | −0.339509 | −0.169755 | − | 0.985486i | \(-0.554298\pi\) | ||||
−0.169755 | + | 0.985486i | \(0.554298\pi\) | |||||||
\(62\) | 8.43871 | + | 14.6163i | 1.07172 | + | 1.85627i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −6.74065 | −0.842581 | ||||||||
\(65\) | 0.958471 | − | 1.66012i | 0.118884 | − | 0.205913i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.56052 | − | 7.89906i | 0.557157 | − | 0.965024i | −0.440576 | − | 0.897715i | \(-0.645226\pi\) |
0.997732 | − | 0.0673080i | \(-0.0214410\pi\) | |||||||
\(68\) | 3.94857 | + | 6.83912i | 0.478835 | + | 0.829366i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.54338 | − | 2.67321i | 0.184469 | − | 0.319509i | ||||
\(71\) | −5.80160 | + | 10.0487i | −0.688523 | + | 1.19256i | 0.283793 | + | 0.958886i | \(0.408407\pi\) |
−0.972316 | + | 0.233671i | \(0.924926\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −5.07534 | −0.594024 | −0.297012 | − | 0.954874i | \(-0.595990\pi\) | ||||
−0.297012 | + | 0.954874i | \(0.595990\pi\) | |||||||
\(74\) | 0.207495 | + | 0.359392i | 0.0241208 | + | 0.0417785i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 13.6764 | 1.56879 | ||||||||
\(77\) | 3.80807 | + | 6.59576i | 0.433969 | + | 0.751657i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.9513 | 1.23211 | 0.616057 | − | 0.787701i | \(-0.288729\pi\) | ||||
0.616057 | + | 0.787701i | \(0.288729\pi\) | |||||||
\(80\) | 2.98445 | 0.333671 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.39218 | + | 14.5357i | −0.926761 | + | 1.60520i | ||||
\(83\) | −6.51857 | − | 11.2905i | −0.715507 | − | 1.23929i | −0.962764 | − | 0.270344i | \(-0.912863\pi\) |
0.247257 | − | 0.968950i | \(-0.420471\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.48961 | − | 2.58008i | −0.161571 | − | 0.279849i | ||||
\(86\) | −8.60286 | + | 14.9006i | −0.927671 | + | 1.60677i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.503279 | + | 0.871705i | −0.0536497 | + | 0.0929240i | ||||
\(89\) | −15.2001 | −1.61120 | −0.805602 | − | 0.592457i | \(-0.798158\pi\) | ||||
−0.805602 | + | 0.592457i | \(0.798158\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.10338 | + | 5.37522i | −0.325323 | + | 0.563476i | ||||
\(92\) | 1.67858 | − | 2.90739i | 0.175004 | − | 0.303117i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −19.1522 | −1.97540 | ||||||||
\(95\) | −5.15946 | −0.529350 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.14072 | + | 3.70784i | 0.217358 | + | 0.376474i | 0.953999 | − | 0.299809i | \(-0.0969229\pi\) |
−0.736642 | + | 0.676283i | \(0.763590\pi\) | |||||||
\(98\) | 1.86843 | − | 3.23621i | 0.188740 | − | 0.326907i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −8.34153 | −0.834153 | ||||||||
\(101\) | −2.65798 | − | 4.60375i | −0.264478 | − | 0.458090i | 0.702948 | − | 0.711241i | \(-0.251866\pi\) |
−0.967427 | + | 0.253151i | \(0.918533\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 10.0130 | − | 1.65514i | 0.986612 | − | 0.163086i | ||||
\(104\) | −0.820294 | −0.0804364 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 17.1979 | 1.67041 | ||||||||
\(107\) | −9.23739 | + | 15.9996i | −0.893012 | + | 1.54674i | −0.0567663 | + | 0.998387i | \(0.518079\pi\) |
−0.836246 | + | 0.548355i | \(0.815254\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.0371716 | − | 0.0643832i | −0.00356040 | − | 0.00616679i | 0.864240 | − | 0.503080i | \(-0.167800\pi\) |
−0.867800 | + | 0.496913i | \(0.834467\pi\) | |||||||
\(110\) | −2.30707 | + | 3.99597i | −0.219971 | + | 0.381001i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.66319 | −0.913085 | ||||||||
\(113\) | 15.1089 | 1.42133 | 0.710665 | − | 0.703531i | \(-0.248394\pi\) | ||||
0.710665 | + | 0.703531i | \(0.248394\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.633250 | + | 1.09682i | −0.0590509 | + | 0.102279i | ||||
\(116\) | 0.286146 | 0.0265680 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −7.83263 | + | 13.5665i | −0.721052 | + | 1.24890i | ||||
\(119\) | 4.82312 | + | 8.35390i | 0.442135 | + | 0.765800i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.192381 | − | 0.333214i | −0.0174892 | − | 0.0302922i | ||||
\(122\) | 2.60076 | + | 4.50464i | 0.235462 | + | 0.407831i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.94963 | − | 13.7692i | 0.713898 | − | 1.23651i | ||||
\(125\) | 6.63253 | 0.593232 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 13.7903 | 1.22369 | 0.611845 | − | 0.790977i | \(-0.290427\pi\) | ||||
0.611845 | + | 0.790977i | \(0.290427\pi\) | |||||||
\(128\) | −1.18981 | − | 2.06082i | −0.105166 | − | 0.182152i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −3.76030 | −0.329800 | ||||||||
\(131\) | 1.79288 | + | 3.10535i | 0.156644 | + | 0.271316i | 0.933657 | − | 0.358169i | \(-0.116599\pi\) |
−0.777012 | + | 0.629486i | \(0.783266\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.7055 | 1.44855 | ||||||||
\(134\) | −17.8920 | −1.54563 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.637430 | + | 1.10406i | −0.0546592 | + | 0.0946725i | ||||
\(137\) | −4.97910 | −0.425394 | −0.212697 | − | 0.977118i | \(-0.568225\pi\) | ||||
−0.212697 | + | 0.977118i | \(0.568225\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.7852 | − | 18.6806i | 0.914792 | − | 1.58447i | 0.107587 | − | 0.994196i | \(-0.465688\pi\) |
0.807205 | − | 0.590271i | \(-0.200979\pi\) | |||||||
\(140\) | −2.90785 | −0.245758 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 22.7610 | 1.91006 | ||||||||
\(143\) | 4.63900 | − | 8.03499i | 0.387933 | − | 0.671920i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.107949 | −0.00896469 | ||||||||
\(146\) | 4.97793 | + | 8.62202i | 0.411976 | + | 0.713563i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.195469 | − | 0.338563i | 0.0160675 | − | 0.0278297i | ||||
\(149\) | −5.57806 | − | 9.66148i | −0.456972 | − | 0.791499i | 0.541827 | − | 0.840490i | \(-0.317733\pi\) |
−0.998799 | + | 0.0489908i | \(0.984400\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.25416 | + | 9.10047i | 0.427577 | + | 0.740586i | 0.996657 | − | 0.0816966i | \(-0.0260338\pi\) |
−0.569080 | + | 0.822282i | \(0.692701\pi\) | |||||||
\(152\) | 1.10391 | + | 1.91203i | 0.0895392 | + | 0.155086i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 7.46995 | − | 12.9383i | 0.601946 | − | 1.04260i | ||||
\(155\) | −2.99902 | + | 5.19445i | −0.240887 | + | 0.417229i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.0579263 | − | 0.100331i | −0.00462302 | − | 0.00800730i | 0.863705 | − | 0.503998i | \(-0.168138\pi\) |
−0.868328 | + | 0.495991i | \(0.834805\pi\) | |||||||
\(158\) | −10.7411 | − | 18.6041i | −0.854514 | − | 1.48006i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.71920 | − | 4.70979i | −0.214972 | − | 0.372342i | ||||
\(161\) | 2.05037 | − | 3.55134i | 0.161592 | − | 0.279885i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.68754 | − | 13.3152i | −0.602134 | − | 1.04293i | −0.992497 | − | 0.122266i | \(-0.960984\pi\) |
0.390363 | − | 0.920661i | \(-0.372349\pi\) | |||||||
\(164\) | 15.8116 | 1.23468 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −12.7869 | + | 22.1476i | −0.992457 | + | 1.71899i | ||||
\(167\) | 9.52412 | 0.736999 | 0.368499 | − | 0.929628i | \(-0.379872\pi\) | ||||
0.368499 | + | 0.929628i | \(0.379872\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.43889 | −0.418376 | ||||||||
\(170\) | −2.92203 | + | 5.06111i | −0.224110 | + | 0.388170i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 16.2085 | 1.23589 | ||||||||
\(173\) | −1.72232 | + | 2.98315i | −0.130946 | + | 0.226805i | −0.924041 | − | 0.382292i | \(-0.875135\pi\) |
0.793096 | + | 0.609097i | \(0.208468\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.1891 | −0.770221 | ||||||||
\(176\) | 14.4447 | 1.08881 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 14.9083 | + | 25.8220i | 1.11743 | + | 1.93544i | ||||
\(179\) | −3.53528 | −0.264240 | −0.132120 | − | 0.991234i | \(-0.542178\pi\) | ||||
−0.132120 | + | 0.991234i | \(0.542178\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.0941661 | − | 0.163100i | −0.00699931 | − | 0.0121232i | 0.862505 | − | 0.506049i | \(-0.168895\pi\) |
−0.869504 | + | 0.493926i | \(0.835561\pi\) | |||||||
\(182\) | 12.1753 | 0.902491 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.541958 | 0.0399537 | ||||||||
\(185\) | −0.0737413 | + | 0.127724i | −0.00542157 | + | 0.00939043i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.20971 | − | 12.4876i | −0.527226 | − | 0.913183i | ||||
\(188\) | 9.02112 | + | 15.6250i | 0.657933 | + | 1.13957i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.06043 | + | 8.76493i | 0.367122 | + | 0.635875i | ||||
\(191\) | 2.10325 | − | 3.64294i | 0.152186 | − | 0.263594i | −0.779845 | − | 0.625973i | \(-0.784702\pi\) |
0.932031 | + | 0.362379i | \(0.118035\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.06996 | 0.436925 | 0.218463 | − | 0.975845i | \(-0.429896\pi\) | ||||
0.218463 | + | 0.975845i | \(0.429896\pi\) | |||||||
\(194\) | 4.19927 | − | 7.27335i | 0.301490 | − | 0.522196i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.52028 | −0.251448 | ||||||||
\(197\) | −1.99742 | −0.142310 | −0.0711552 | − | 0.997465i | \(-0.522669\pi\) | ||||
−0.0711552 | + | 0.997465i | \(0.522669\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.21090 | + | 5.56145i | −0.227615 | + | 0.394241i | −0.957101 | − | 0.289755i | \(-0.906426\pi\) |
0.729486 | + | 0.683996i | \(0.239759\pi\) | |||||||
\(200\) | −0.673300 | − | 1.16619i | −0.0476095 | − | 0.0824621i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −5.21392 | + | 9.03077i | −0.366850 | + | 0.635403i | ||||
\(203\) | 0.349523 | 0.0245317 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −5.96496 | −0.416611 | ||||||||
\(206\) | −12.6326 | − | 15.3868i | −0.880155 | − | 1.07205i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 5.88587 | + | 10.1946i | 0.408112 | + | 0.706870i | ||||
\(209\) | −24.9718 | −1.72734 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.41453 | − | 16.3064i | 0.648123 | − | 1.12258i | −0.335448 | − | 0.942059i | \(-0.608888\pi\) |
0.983571 | − | 0.180523i | \(-0.0577790\pi\) | |||||||
\(212\) | −8.10060 | − | 14.0306i | −0.556351 | − | 0.963629i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 36.2404 | 2.47734 | ||||||||
\(215\) | −6.11471 | −0.417020 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.71036 | − | 16.8188i | 0.659182 | − | 1.14174i | ||||
\(218\) | −0.0729164 | + | 0.126295i | −0.00493852 | + | 0.00855377i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.34672 | 0.293056 | ||||||||
\(221\) | 5.87555 | − | 10.1768i | 0.395233 | − | 0.684563i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.54897 | − | 13.0752i | 0.505516 | − | 0.875580i | −0.494463 | − | 0.869198i | \(-0.664635\pi\) |
0.999980 | − | 0.00638141i | \(-0.00203128\pi\) | |||||||
\(224\) | 8.80435 | + | 15.2496i | 0.588265 | + | 1.01891i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.8189 | − | 25.6672i | −0.985741 | − | 1.70735i | ||||
\(227\) | 13.2184 | − | 22.8950i | 0.877338 | − | 1.51959i | 0.0230870 | − | 0.999733i | \(-0.492651\pi\) |
0.854251 | − | 0.519861i | \(-0.174016\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.1564 | −0.671154 | −0.335577 | − | 0.942013i | \(-0.608931\pi\) | ||||
−0.335577 | + | 0.942013i | \(0.608931\pi\) | |||||||
\(230\) | 2.48438 | 0.163815 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.0230967 | + | 0.0400047i | 0.00151637 | + | 0.00262644i | ||||
\(233\) | 12.8236 | 0.840104 | 0.420052 | − | 0.907500i | \(-0.362012\pi\) | ||||
0.420052 | + | 0.907500i | \(0.362012\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.40324 | − | 5.89458i | −0.222003 | − | 0.384520i | ||||
\(236\) | 14.7574 | 0.960622 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.46110 | − | 16.3871i | 0.613272 | − | 1.06222i | ||||
\(239\) | 3.41456 | − | 5.91420i | 0.220870 | − | 0.382558i | −0.734203 | − | 0.678930i | \(-0.762444\pi\) |
0.955072 | + | 0.296373i | \(0.0957771\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.2289 | + | 17.7170i | 0.658903 | + | 1.14125i | 0.980900 | + | 0.194513i | \(0.0623126\pi\) |
−0.321997 | + | 0.946741i | \(0.604354\pi\) | |||||||
\(242\) | −0.377378 | + | 0.653637i | −0.0242587 | + | 0.0420174i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.45003 | − | 4.24357i | 0.156847 | − | 0.271667i | ||||
\(245\) | 1.32803 | 0.0848450 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.1754 | − | 17.6243i | −0.647445 | − | 1.12141i | ||||
\(248\) | 2.56667 | 0.162984 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.50523 | − | 11.2674i | −0.411427 | − | 0.712612i | ||||
\(251\) | 2.72200 | − | 4.71464i | 0.171811 | − | 0.297585i | −0.767242 | − | 0.641358i | \(-0.778371\pi\) |
0.939053 | + | 0.343772i | \(0.111705\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.06493 | + | 5.30862i | −0.192691 | + | 0.333750i | ||||
\(254\) | −13.5256 | − | 23.4270i | −0.848672 | − | 1.46994i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.07460 | + | 15.7177i | −0.567163 | + | 0.982354i | ||||
\(257\) | −2.41205 | + | 4.17779i | −0.150460 | + | 0.260604i | −0.931397 | − | 0.364006i | \(-0.881409\pi\) |
0.780937 | + | 0.624610i | \(0.214742\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.238763 | − | 0.413550i | 0.0148360 | − | 0.0256967i | ||||
\(260\) | 1.77118 | + | 3.06777i | 0.109844 | + | 0.190255i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.51693 | − | 6.09150i | 0.217277 | − | 0.376334i | ||||
\(263\) | −2.83991 | − | 4.91888i | −0.175117 | − | 0.303311i | 0.765085 | − | 0.643929i | \(-0.222697\pi\) |
−0.940202 | + | 0.340618i | \(0.889364\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.05597 | + | 5.29310i | 0.187727 | + | 0.325152i | ||||
\(266\) | −16.3849 | − | 28.3795i | −1.00462 | − | 1.74006i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 8.42750 | + | 14.5969i | 0.514791 | + | 0.891645i | ||||
\(269\) | 6.75146 | − | 11.6939i | 0.411644 | − | 0.712988i | −0.583426 | − | 0.812166i | \(-0.698288\pi\) |
0.995070 | + | 0.0991785i | \(0.0316215\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.77674 | + | 10.0056i | −0.350912 | + | 0.607797i | −0.986409 | − | 0.164306i | \(-0.947462\pi\) |
0.635498 | + | 0.772103i | \(0.280795\pi\) | |||||||
\(272\) | 18.2951 | 1.10930 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.88354 | + | 8.45853i | 0.295025 | + | 0.510999i | ||||
\(275\) | 15.2308 | 0.918454 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.65147 | − | 4.59249i | 0.159312 | − | 0.275936i | −0.775309 | − | 0.631582i | \(-0.782406\pi\) |
0.934621 | + | 0.355646i | \(0.115739\pi\) | |||||||
\(278\) | −42.3129 | −2.53776 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.234712 | − | 0.406533i | −0.0140267 | − | 0.0242950i | ||||
\(281\) | 11.0611 | + | 19.1584i | 0.659851 | + | 1.14290i | 0.980654 | + | 0.195750i | \(0.0627141\pi\) |
−0.320802 | + | 0.947146i | \(0.603953\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.91799 | + | 5.05411i | 0.173457 | + | 0.300436i | 0.939626 | − | 0.342203i | \(-0.111173\pi\) |
−0.766169 | + | 0.642639i | \(0.777840\pi\) | |||||||
\(284\) | −10.7209 | − | 18.5691i | −0.636168 | − | 1.10188i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −18.1999 | −1.07618 | ||||||||
\(287\) | 19.3136 | 1.14005 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.631498 | − | 1.09379i | −0.0371469 | − | 0.0643404i | ||||
\(290\) | 0.105877 | + | 0.183385i | 0.00621733 | + | 0.0107687i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.68942 | − | 8.12231i | 0.274428 | − | 0.475322i | ||||
\(293\) | 0.148936 | + | 0.257965i | 0.00870096 | + | 0.0150705i | 0.870343 | − | 0.492446i | \(-0.163897\pi\) |
−0.861642 | + | 0.507516i | \(0.830564\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.56725 | −0.324138 | ||||||||
\(296\) | 0.0631104 | 0.00366822 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.9420 | + | 18.9521i | −0.633852 | + | 1.09786i | ||||
\(299\) | −4.99553 | −0.288899 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 19.7985 | 1.14117 | ||||||||
\(302\) | 10.3066 | − | 17.8516i | 0.593079 | − | 1.02724i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 15.8419 | − | 27.4389i | 0.908593 | − | 1.57373i | ||||
\(305\) | −0.924278 | + | 1.60090i | −0.0529240 | + | 0.0916671i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 16.3054 | + | 28.2419i | 0.930601 | + | 1.61185i | 0.782296 | + | 0.622906i | \(0.214048\pi\) |
0.148305 | + | 0.988942i | \(0.452618\pi\) | |||||||
\(308\) | −14.0740 | −0.801942 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 11.7658 | 0.668254 | ||||||||
\(311\) | 8.08000 | + | 13.9950i | 0.458175 | + | 0.793582i | 0.998865 | − | 0.0476401i | \(-0.0151701\pi\) |
−0.540690 | + | 0.841222i | \(0.681837\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.1679 | − | 17.6112i | 0.574721 | − | 0.995446i | −0.421351 | − | 0.906898i | \(-0.638444\pi\) |
0.996072 | − | 0.0885481i | \(-0.0282227\pi\) | |||||||
\(314\) | −0.113629 | + | 0.196811i | −0.00641245 | + | 0.0111067i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −10.1186 | + | 17.5259i | −0.569213 | + | 0.985906i | ||||
\(317\) | 14.2068 | 0.797932 | 0.398966 | − | 0.916966i | \(-0.369369\pi\) | ||||
0.398966 | + | 0.916966i | \(0.369369\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.522475 | −0.0292530 | ||||||||
\(320\) | −2.34957 | + | 4.06957i | −0.131345 | + | 0.227496i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −8.04405 | −0.448277 | ||||||||
\(323\) | −31.6282 | −1.75984 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.20619 | + | 10.7494i | 0.344257 | + | 0.596271i | ||||
\(326\) | −15.0800 | + | 26.1193i | −0.835202 | + | 1.44661i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.27626 | + | 2.21054i | 0.0704695 | + | 0.122057i | ||||
\(329\) | 11.0192 | + | 19.0858i | 0.607506 | + | 1.05223i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −23.4377 | −1.28825 | −0.644125 | − | 0.764920i | \(-0.722779\pi\) | ||||
−0.644125 | + | 0.764920i | \(0.722779\pi\) | |||||||
\(332\) | 24.0916 | 1.32220 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.34132 | − | 16.1796i | −0.511134 | − | 0.885310i | ||||
\(335\) | −3.17929 | − | 5.50670i | −0.173703 | − | 0.300863i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.494257 | + | 0.856078i | 0.0269239 | + | 0.0466335i | 0.879173 | − | 0.476502i | \(-0.158095\pi\) |
−0.852250 | + | 0.523136i | \(0.824762\pi\) | |||||||
\(338\) | 5.33450 | + | 9.23962i | 0.290158 | + | 0.502569i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 5.50536 | 0.298570 | ||||||||
\(341\) | −14.5153 | + | 25.1412i | −0.786046 | + | 1.36147i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −20.1005 | −1.08532 | ||||||||
\(344\) | 1.30830 | + | 2.26604i | 0.0705387 | + | 0.122177i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.75707 | 0.363262 | ||||||||
\(347\) | 6.81282 | − | 11.8002i | 0.365731 | − | 0.633466i | −0.623162 | − | 0.782093i | \(-0.714152\pi\) |
0.988893 | + | 0.148627i | \(0.0474855\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.860505 | − | 1.49044i | 0.0460618 | − | 0.0797813i | −0.842075 | − | 0.539360i | \(-0.818666\pi\) |
0.888137 | + | 0.459579i | \(0.152000\pi\) | |||||||
\(350\) | 9.99350 | + | 17.3093i | 0.534175 | + | 0.925218i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −13.1609 | − | 22.7954i | −0.701480 | − | 1.21500i | ||||
\(353\) | 5.99095 | + | 10.3766i | 0.318866 | + | 0.552292i | 0.980252 | − | 0.197754i | \(-0.0633647\pi\) |
−0.661386 | + | 0.750046i | \(0.730031\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.04449 | + | 7.00526i | 0.214659 | + | 0.371801i | ||||
\(356\) | 14.0443 | − | 24.3254i | 0.744346 | − | 1.28924i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.46743 | + | 6.00576i | 0.183259 | + | 0.317414i | ||||
\(359\) | −10.7358 | + | 18.5950i | −0.566616 | + | 0.981408i | 0.430281 | + | 0.902695i | \(0.358414\pi\) |
−0.996897 | + | 0.0787131i | \(0.974919\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.8871 | + | 30.9814i | −0.941428 | + | 1.63060i | ||||
\(362\) | −0.184717 | + | 0.319940i | −0.00970853 | + | 0.0168157i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.73481 | − | 9.93298i | −0.300586 | − | 0.520630i | ||||
\(365\) | −1.76910 | + | 3.06416i | −0.0925987 | + | 0.160386i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.83310 | − | 4.90707i | 0.147887 | − | 0.256147i | −0.782560 | − | 0.622576i | \(-0.786086\pi\) |
0.930446 | + | 0.366429i | \(0.119420\pi\) | |||||||
\(368\) | −3.88872 | − | 6.73547i | −0.202714 | − | 0.351110i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.289304 | 0.0150402 | ||||||||
\(371\) | −9.89477 | − | 17.1382i | −0.513711 | − | 0.889773i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 13.6125 | 0.704830 | 0.352415 | − | 0.935844i | \(-0.385361\pi\) | ||||
0.352415 | + | 0.935844i | \(0.385361\pi\) | |||||||
\(374\) | −14.1427 | + | 24.4958i | −0.731300 | + | 1.26665i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.45631 | + | 2.52240i | −0.0751033 | + | 0.130083i | ||||
\(377\) | −0.212895 | − | 0.368746i | −0.0109647 | − | 0.0189914i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.04345 | − | 1.80732i | 0.0535987 | − | 0.0928356i | −0.837981 | − | 0.545699i | \(-0.816264\pi\) |
0.891580 | + | 0.452863i | \(0.149597\pi\) | |||||||
\(380\) | 4.76714 | − | 8.25694i | 0.244549 | − | 0.423572i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −8.25152 | −0.422185 | ||||||||
\(383\) | 7.02803 | + | 12.1729i | 0.359116 | + | 0.622006i | 0.987813 | − | 0.155643i | \(-0.0497451\pi\) |
−0.628698 | + | 0.777650i | \(0.716412\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.30946 | 0.270595 | ||||||||
\(386\) | −5.95345 | − | 10.3117i | −0.303023 | − | 0.524851i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −7.91179 | −0.401660 | ||||||||
\(389\) | −36.7634 | −1.86398 | −0.931990 | − | 0.362484i | \(-0.881929\pi\) | ||||
−0.931990 | + | 0.362484i | \(0.881929\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.88191 | + | 6.72366i | −0.196316 | + | 0.340030i | ||||
\(392\) | −0.284145 | − | 0.492153i | −0.0143515 | − | 0.0248575i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.95908 | + | 3.39323i | 0.0986972 | + | 0.170949i | ||||
\(395\) | 3.81725 | − | 6.61167i | 0.192067 | − | 0.332669i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.450913 | − | 0.781004i | 0.0226307 | − | 0.0391975i | −0.854488 | − | 0.519471i | \(-0.826129\pi\) |
0.877119 | + | 0.480273i | \(0.159462\pi\) | |||||||
\(398\) | 12.5971 | 0.631435 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.66229 | + | 16.7356i | −0.483114 | + | 0.836779i | ||||
\(401\) | −6.30694 | + | 10.9239i | −0.314953 | + | 0.545515i | −0.979428 | − | 0.201796i | \(-0.935322\pi\) |
0.664474 | + | 0.747311i | \(0.268656\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −23.6584 | −1.17851 | ||||||||
\(404\) | 9.82347 | 0.488736 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.342814 | − | 0.593772i | −0.0170136 | − | 0.0294684i | ||||
\(407\) | −0.356908 | + | 0.618183i | −0.0176913 | + | 0.0306422i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.2801 | −0.508321 | −0.254160 | − | 0.967162i | \(-0.581799\pi\) | ||||
−0.254160 | + | 0.967162i | \(0.581799\pi\) | |||||||
\(410\) | 5.85047 | + | 10.1333i | 0.288934 | + | 0.500449i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −6.60283 | + | 17.5536i | −0.325298 | + | 0.864804i | ||||
\(413\) | 18.0259 | 0.886997 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.08864 | −0.446144 | ||||||||
\(416\) | 10.7255 | − | 18.5771i | 0.525861 | − | 0.910818i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 24.4925 | + | 42.4223i | 1.19797 | + | 2.07494i | ||||
\(419\) | −7.48381 | + | 12.9623i | −0.365608 | + | 0.633252i | −0.988874 | − | 0.148759i | \(-0.952472\pi\) |
0.623266 | + | 0.782010i | \(0.285806\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 32.7320 | 1.59526 | 0.797631 | − | 0.603146i | \(-0.206086\pi\) | ||||
0.797631 | + | 0.603146i | \(0.206086\pi\) | |||||||
\(422\) | −36.9353 | −1.79798 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.30771 | − | 2.26501i | 0.0635078 | − | 0.109999i | ||||
\(425\) | 19.2907 | 0.935736 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.99267 | − | 5.18346i | 0.144826 | − | 0.250845i | ||||
\(428\) | −17.0700 | − | 29.5661i | −0.825109 | − | 1.42913i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 5.99735 | + | 10.3877i | 0.289218 | + | 0.500940i | ||||
\(431\) | 20.4763 | + | 35.4661i | 0.986311 | + | 1.70834i | 0.635960 | + | 0.771722i | \(0.280604\pi\) |
0.350351 | + | 0.936618i | \(0.386062\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.04807 | − | 13.9397i | 0.386766 | − | 0.669898i | −0.605247 | − | 0.796038i | \(-0.706926\pi\) |
0.992012 | + | 0.126140i | \(0.0402589\pi\) | |||||||
\(434\) | −38.0959 | −1.82866 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.137381 | 0.00657934 | ||||||||
\(437\) | 6.72276 | + | 11.6442i | 0.321593 | + | 0.557016i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −21.5401 | −1.02805 | −0.514026 | − | 0.857775i | \(-0.671847\pi\) | ||||
−0.514026 | + | 0.857775i | \(0.671847\pi\) | |||||||
\(440\) | 0.350853 | + | 0.607695i | 0.0167262 | + | 0.0289707i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −23.0511 | −1.09643 | ||||||||
\(443\) | 5.99252 | 0.284713 | 0.142357 | − | 0.989815i | \(-0.454532\pi\) | ||||
0.142357 | + | 0.989815i | \(0.454532\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.29824 | + | 9.17683i | −0.251161 | + | 0.435023i | ||||
\(446\) | −29.6163 | −1.40237 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 7.60754 | − | 13.1766i | 0.359422 | − | 0.622538i | ||||
\(449\) | 26.3745 | 1.24469 | 0.622345 | − | 0.782743i | \(-0.286180\pi\) | ||||
0.622345 | + | 0.782743i | \(0.286180\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −28.8705 | −1.35946 | ||||||||
\(452\) | −13.9601 | + | 24.1796i | −0.656627 | + | 1.13731i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −51.8589 | −2.43386 | ||||||||
\(455\) | 2.16347 | + | 3.74724i | 0.101425 | + | 0.175674i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.8463 | − | 20.5184i | 0.554147 | − | 0.959811i | −0.443822 | − | 0.896115i | \(-0.646378\pi\) |
0.997969 | − | 0.0636962i | \(-0.0202889\pi\) | |||||||
\(458\) | 9.96146 | + | 17.2538i | 0.465468 | + | 0.806215i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.17020 | − | 2.02684i | −0.0545607 | − | 0.0945020i | ||||
\(461\) | 18.5284 | + | 32.0921i | 0.862952 | + | 1.49468i | 0.869067 | + | 0.494695i | \(0.164720\pi\) |
−0.00611521 | + | 0.999981i | \(0.501947\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.39033 | − | 5.87223i | 0.157562 | − | 0.272906i | −0.776427 | − | 0.630207i | \(-0.782970\pi\) |
0.933989 | + | 0.357302i | \(0.116303\pi\) | |||||||
\(464\) | 0.331453 | − | 0.574093i | 0.0153873 | − | 0.0266516i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.5775 | − | 21.7849i | −0.582641 | − | 1.00916i | ||||
\(467\) | 10.1905 | + | 17.6505i | 0.471560 | + | 0.816766i | 0.999471 | − | 0.0325342i | \(-0.0103578\pi\) |
−0.527911 | + | 0.849300i | \(0.677024\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.2941 | + | 17.8299i | 0.475336 | + | 0.823306i | ||||
\(470\) | −6.67584 | + | 11.5629i | −0.307933 | + | 0.533356i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.19116 | + | 2.06316i | 0.0548277 | + | 0.0949644i | ||||
\(473\) | −29.5952 | −1.36079 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.7040 | − | 28.9322i | 0.766432 | − | 1.32750i | ||||
\(476\) | −17.8255 | −0.817032 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −13.3961 | −0.612723 | ||||||||
\(479\) | −18.5258 | + | 32.0876i | −0.846466 | + | 1.46612i | 0.0378768 | + | 0.999282i | \(0.487941\pi\) |
−0.884342 | + | 0.466839i | \(0.845393\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.581724 | −0.0265243 | ||||||||
\(482\) | 20.0652 | − | 34.7539i | 0.913944 | − | 1.58300i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.711012 | 0.0323187 | ||||||||
\(485\) | 2.98474 | 0.135530 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.28914 | − | 2.23285i | −0.0584164 | − | 0.101180i | 0.835338 | − | 0.549736i | \(-0.185272\pi\) |
−0.893755 | + | 0.448556i | \(0.851938\pi\) | |||||||
\(488\) | 0.791031 | 0.0358083 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.30254 | − | 2.25607i | −0.0588429 | − | 0.101919i | ||||
\(491\) | −0.108509 | −0.00489695 | −0.00244848 | − | 0.999997i | \(-0.500779\pi\) | ||||
−0.00244848 | + | 0.999997i | \(0.500779\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.661743 | −0.0298034 | ||||||||
\(494\) | −19.9602 | + | 34.5720i | −0.898051 | + | 1.55547i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −18.4167 | − | 31.8986i | −0.826933 | − | 1.43229i | ||||
\(497\) | −13.0954 | − | 22.6820i | −0.587410 | − | 1.01742i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.6784 | − | 23.6917i | −0.612330 | − | 1.06059i | −0.990847 | − | 0.134992i | \(-0.956899\pi\) |
0.378517 | − | 0.925594i | \(-0.376434\pi\) | |||||||
\(500\) | −6.12821 | + | 10.6144i | −0.274062 | + | 0.474689i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −10.6790 | −0.476628 | ||||||||
\(503\) | 18.6031 | − | 32.2215i | 0.829470 | − | 1.43668i | −0.0689840 | − | 0.997618i | \(-0.521976\pi\) |
0.898454 | − | 0.439067i | \(-0.144691\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.70593 | −0.164912 | ||||||||
\(506\) | 12.0244 | 0.534551 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12.7417 | + | 22.0693i | −0.565322 | + | 0.979166i | ||||
\(509\) | −16.5079 | − | 28.5925i | −0.731698 | − | 1.26734i | −0.956157 | − | 0.292855i | \(-0.905395\pi\) |
0.224459 | − | 0.974484i | \(-0.427939\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.72806 | − | 9.92129i | 0.253395 | − | 0.438892i | ||||
\(512\) | 30.8424 | 1.36306 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.46302 | 0.417396 | ||||||||
\(515\) | 2.49094 | − | 6.62214i | 0.109764 | − | 0.291806i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −16.4717 | − | 28.5298i | −0.724424 | − | 1.25474i | ||||
\(518\) | −0.936721 | −0.0411571 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.285927 | + | 0.495241i | −0.0125387 | + | 0.0217177i | ||||
\(521\) | −2.38979 | − | 4.13924i | −0.104699 | − | 0.181344i | 0.808916 | − | 0.587924i | \(-0.200055\pi\) |
−0.913615 | + | 0.406580i | \(0.866721\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.8507 | −0.649374 | −0.324687 | − | 0.945822i | \(-0.605259\pi\) | ||||
−0.324687 | + | 0.945822i | \(0.605259\pi\) | |||||||
\(524\) | −6.62620 | −0.289467 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −5.57081 | + | 9.64893i | −0.242899 | + | 0.420713i | ||||
\(527\) | −18.3844 | + | 31.8427i | −0.800836 | + | 1.38709i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.6995 | −0.856501 | ||||||||
\(530\) | 5.99463 | − | 10.3830i | 0.260390 | − | 0.451009i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −15.4353 | + | 26.7347i | −0.669204 | + | 1.15910i | ||||
\(533\) | −11.7640 | − | 20.3758i | −0.509555 | − | 0.882575i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.43970 | + | 11.1539i | 0.278412 | + | 0.482224i | ||||
\(536\) | −1.36048 | + | 2.35642i | −0.0587637 | + | 0.101782i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −26.4875 | −1.14196 | ||||||||
\(539\) | 6.42769 | 0.276860 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.02978 | − | 6.97978i | −0.173254 | − | 0.300084i | 0.766302 | − | 0.642481i | \(-0.222095\pi\) |
−0.939556 | + | 0.342397i | \(0.888761\pi\) | |||||||
\(542\) | 22.6634 | 0.973478 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −16.6691 | − | 28.8716i | −0.714680 | − | 1.23786i | ||||
\(545\) | −0.0518272 | −0.00222003 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.3695 | + | 21.4246i | −0.528883 | + | 0.916051i | 0.470550 | + | 0.882373i | \(0.344055\pi\) |
−0.999433 | + | 0.0336782i | \(0.989278\pi\) | |||||||
\(548\) | 4.60050 | − | 7.96830i | 0.196524 | − | 0.340389i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −14.9385 | − | 25.8743i | −0.636980 | − | 1.10328i | ||||
\(551\) | −0.573009 | + | 0.992481i | −0.0244110 | + | 0.0422811i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −12.3597 | + | 21.4076i | −0.525587 | + | 0.910343i | ||||
\(554\) | −10.4023 | −0.441953 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 19.9303 | + | 34.5203i | 0.845233 | + | 1.46399i | ||||
\(557\) | −11.5558 | −0.489636 | −0.244818 | − | 0.969569i | \(-0.578728\pi\) | ||||
−0.244818 | + | 0.969569i | \(0.578728\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.0593 | − | 20.8873i | −0.510055 | − | 0.883441i | ||||
\(560\) | −3.36827 | + | 5.83401i | −0.142335 | + | 0.246532i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 21.6976 | − | 37.5814i | 0.915260 | − | 1.58528i | ||||
\(563\) | 16.3110 | + | 28.2516i | 0.687429 | + | 1.19066i | 0.972667 | + | 0.232205i | \(0.0745940\pi\) |
−0.285238 | + | 0.958457i | \(0.592073\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.26648 | − | 9.12180i | 0.221562 | − | 0.383757i | ||||
\(566\) | 5.72397 | − | 9.91420i | 0.240596 | − | 0.416725i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 1.73071 | − | 2.99768i | 0.0726189 | − | 0.125780i | ||||
\(569\) | 13.0508 | + | 22.6046i | 0.547116 | + | 0.947633i | 0.998470 | + | 0.0552885i | \(0.0176078\pi\) |
−0.451354 | + | 0.892345i | \(0.649059\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.427805 | − | 0.740980i | 0.0179031 | − | 0.0310090i | −0.856935 | − | 0.515424i | \(-0.827634\pi\) |
0.874838 | + | 0.484415i | \(0.160968\pi\) | |||||||
\(572\) | 8.57252 | + | 14.8480i | 0.358435 | + | 0.620828i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −18.9429 | − | 32.8101i | −0.790663 | − | 1.36947i | ||||
\(575\) | −4.10035 | − | 7.10202i | −0.170996 | − | 0.296175i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23.6753 | + | 41.0069i | 0.985616 | + | 1.70714i | 0.639165 | + | 0.769070i | \(0.279280\pi\) |
0.346451 | + | 0.938068i | \(0.387387\pi\) | |||||||
\(578\) | −1.23875 | + | 2.14559i | −0.0515254 | + | 0.0892446i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.0997409 | − | 0.172756i | 0.00414152 | − | 0.00717332i | ||||
\(581\) | 29.4276 | 1.22086 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 14.7909 | + | 25.6186i | 0.612577 | + | 1.06101i | ||||
\(584\) | 1.51406 | 0.0626521 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.292155 | − | 0.506028i | 0.0120688 | − | 0.0209038i | ||||
\(587\) | 8.15205 | 0.336471 | 0.168236 | − | 0.985747i | \(-0.446193\pi\) | ||||
0.168236 | + | 0.985747i | \(0.446193\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 31.8384 | + | 55.1457i | 1.31188 | + | 2.27224i | ||||
\(590\) | 5.46039 | + | 9.45768i | 0.224801 | + | 0.389366i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.452837 | − | 0.784337i | −0.0186115 | − | 0.0322361i | ||||
\(593\) | −12.1101 | − | 20.9753i | −0.497301 | − | 0.861351i | 0.502694 | − | 0.864465i | \(-0.332342\pi\) |
−0.999995 | + | 0.00311334i | \(0.999009\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.72473 | 0.275687 | ||||||||
\(596\) | 20.6156 | 0.844450 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 4.89965 | + | 8.48644i | 0.200362 | + | 0.347036i | ||||
\(599\) | −23.0008 | − | 39.8386i | −0.939788 | − | 1.62776i | −0.765866 | − | 0.643001i | \(-0.777689\pi\) |
−0.173922 | − | 0.984759i | \(-0.555644\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.7547 | − | 37.6802i | 0.887392 | − | 1.53701i | 0.0444445 | − | 0.999012i | \(-0.485848\pi\) |
0.842947 | − | 0.537996i | \(-0.180818\pi\) | |||||||
\(602\) | −19.4185 | − | 33.6338i | −0.791439 | − | 1.37081i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −19.4186 | −0.790130 | ||||||||
\(605\) | −0.268231 | −0.0109051 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.63441 | + | 16.6873i | −0.391048 | + | 0.677316i | −0.992588 | − | 0.121527i | \(-0.961221\pi\) |
0.601540 | + | 0.798843i | \(0.294554\pi\) | |||||||
\(608\) | −57.7355 | −2.34148 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.62615 | 0.146819 | ||||||||
\(611\) | 13.4236 | − | 23.2504i | 0.543061 | − | 0.940609i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −19.0527 | + | 33.0003i | −0.769533 | + | 1.33287i | 0.168283 | + | 0.985739i | \(0.446178\pi\) |
−0.937816 | + | 0.347132i | \(0.887156\pi\) | |||||||
\(614\) | 31.9850 | − | 55.3996i | 1.29081 | − | 2.23575i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.13601 | − | 1.96762i | −0.0457710 | − | 0.0792778i | ||||
\(617\) | 40.7304 | 1.63975 | 0.819873 | − | 0.572545i | \(-0.194044\pi\) | ||||
0.819873 | + | 0.572545i | \(0.194044\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −29.9769 | −1.20487 | −0.602437 | − | 0.798167i | \(-0.705803\pi\) | ||||
−0.602437 | + | 0.798167i | \(0.705803\pi\) | |||||||
\(620\) | −5.54196 | − | 9.59895i | −0.222570 | − | 0.385503i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 15.8498 | − | 27.4527i | 0.635520 | − | 1.10075i | ||||
\(623\) | 17.1549 | − | 29.7132i | 0.687297 | − | 1.19043i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.97313 | + | 15.5419i | −0.358925 | + | 0.621677i | ||||
\(626\) | −39.8908 | −1.59436 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.214087 | 0.00854298 | ||||||||
\(629\) | −0.452044 | + | 0.782963i | −0.0180242 | + | 0.0312188i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.2997 | 1.12659 | 0.563297 | − | 0.826255i | \(-0.309533\pi\) | ||||
0.563297 | + | 0.826255i | \(0.309533\pi\) | |||||||
\(632\) | −3.26694 | −0.129952 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −13.9341 | − | 24.1346i | −0.553393 | − | 0.958505i | ||||
\(635\) | 4.80684 | − | 8.32569i | 0.190754 | − | 0.330395i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.61912 | + | 4.53645i | 0.103773 | + | 0.179741i | ||||
\(638\) | 0.512447 | + | 0.887583i | 0.0202880 | + | 0.0351398i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −1.65892 | −0.0655746 | ||||||||
\(641\) | −30.2448 | −1.19460 | −0.597299 | − | 0.802019i | \(-0.703759\pi\) | ||||
−0.597299 | + | 0.802019i | \(0.703759\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 7.73571 | + | 13.3986i | 0.305067 | + | 0.528391i | 0.977276 | − | 0.211970i | \(-0.0679879\pi\) |
−0.672210 | + | 0.740361i | \(0.734655\pi\) | |||||||
\(644\) | 3.78892 | + | 6.56260i | 0.149304 | + | 0.258603i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 31.0211 | + | 53.7302i | 1.22051 | + | 2.11398i | ||||
\(647\) | −8.50947 | − | 14.7388i | −0.334542 | − | 0.579443i | 0.648855 | − | 0.760912i | \(-0.275248\pi\) |
−0.983397 | + | 0.181469i | \(0.941915\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −26.9455 | −1.05770 | ||||||||
\(650\) | 12.1741 | − | 21.0862i | 0.477509 | − | 0.827069i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 28.4119 | 1.11270 | ||||||||
\(653\) | 11.6712 | + | 20.2152i | 0.456730 | + | 0.791080i | 0.998786 | − | 0.0492626i | \(-0.0156871\pi\) |
−0.542056 | + | 0.840343i | \(0.682354\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.49975 | 0.0976733 | ||||||||
\(656\) | 18.3151 | − | 31.7227i | 0.715085 | − | 1.23856i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 21.6153 | − | 37.4389i | 0.842654 | − | 1.45952i | ||||
\(659\) | 11.2642 | + | 19.5102i | 0.438791 | + | 0.760008i | 0.997597 | − | 0.0692907i | \(-0.0220736\pi\) |
−0.558806 | + | 0.829299i | \(0.688740\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 18.0474 | + | 31.2590i | 0.701962 | + | 1.21583i | 0.967777 | + | 0.251810i | \(0.0810258\pi\) |
−0.265814 | + | 0.964024i | \(0.585641\pi\) | |||||||
\(662\) | 22.9878 | + | 39.8161i | 0.893447 | + | 1.54749i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.94460 | + | 3.36814i | 0.0754649 | + | 0.130709i | ||||
\(665\) | 5.82300 | − | 10.0857i | 0.225806 | − | 0.391108i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.140657 | + | 0.243626i | 0.00544628 | + | 0.00943323i | ||||
\(668\) | −8.79992 | + | 15.2419i | −0.340479 | + | 0.589727i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −6.23654 | + | 10.8020i | −0.240939 | + | 0.417318i | ||||
\(671\) | −4.47351 | + | 7.74835i | −0.172698 | + | 0.299122i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 18.2666 | + | 31.6386i | 0.704124 | + | 1.21958i | 0.967007 | + | 0.254751i | \(0.0819934\pi\) |
−0.262883 | + | 0.964828i | \(0.584673\pi\) | |||||||
\(674\) | 0.969540 | − | 1.67929i | 0.0373453 | − | 0.0646839i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.02532 | − | 8.70412i | 0.193282 | − | 0.334774i | ||||
\(677\) | −3.83817 | − | 6.64791i | −0.147513 | − | 0.255500i | 0.782795 | − | 0.622280i | \(-0.213794\pi\) |
−0.930308 | + | 0.366780i | \(0.880460\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −9.66414 | −0.370876 | ||||||||
\(680\) | 0.444374 | + | 0.769679i | 0.0170410 | + | 0.0295158i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 56.9467 | 2.18060 | ||||||||
\(683\) | −4.89847 | + | 8.48440i | −0.187435 | + | 0.324647i | −0.944394 | − | 0.328815i | \(-0.893351\pi\) |
0.756959 | + | 0.653462i | \(0.226684\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.73555 | + | 3.00606i | −0.0663120 | + | 0.114856i | ||||
\(686\) | 19.7147 | + | 34.1468i | 0.752709 | + | 1.30373i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 18.7749 | − | 32.5191i | 0.715787 | − | 1.23978i | ||||
\(689\) | −12.0539 | + | 20.8779i | −0.459215 | + | 0.795384i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.142091 | 0.00540538 | 0.00270269 | − | 0.999996i | \(-0.499140\pi\) | ||||
0.00270269 | + | 0.999996i | \(0.499140\pi\) | |||||||
\(692\) | −3.18272 | − | 5.51264i | −0.120989 | − | 0.209559i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −26.7282 | −1.01459 | ||||||||
\(695\) | −7.51875 | − | 13.0229i | −0.285203 | − | 0.493985i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −36.5660 | −1.38504 | ||||||||
\(698\) | −3.37595 | −0.127782 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 9.41431 | − | 16.3061i | 0.355827 | − | 0.616311i | ||||
\(701\) | −18.8310 | − | 32.6162i | −0.711237 | − | 1.23190i | −0.964393 | − | 0.264473i | \(-0.914802\pi\) |
0.253156 | − | 0.967425i | \(-0.418531\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 0.782858 | + | 1.35595i | 0.0295260 | + | 0.0511406i | ||||
\(704\) | −11.3719 | + | 19.6967i | −0.428595 | + | 0.742349i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 11.7519 | − | 20.3549i | 0.442289 | − | 0.766067i | ||||
\(707\) | 11.9992 | 0.451277 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.53454 | − | 11.3182i | 0.245410 | − | 0.425062i | −0.716837 | − | 0.697241i | \(-0.754411\pi\) |
0.962247 | + | 0.272179i | \(0.0877441\pi\) | |||||||
\(710\) | 7.93372 | − | 13.7416i | 0.297747 | − | 0.515713i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.53443 | 0.169935 | ||||||||
\(713\) | 15.6308 | 0.585379 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.23401 | − | 5.60146i | −0.120945 | − | 0.209483i | ||||
\(716\) | 3.26647 | − | 5.65769i | 0.122074 | − | 0.211438i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 42.1191 | 1.57187 | ||||||||
\(719\) | −10.6493 | − | 18.4451i | −0.397151 | − | 0.687886i | 0.596222 | − | 0.802819i | \(-0.296668\pi\) |
−0.993373 | + | 0.114934i | \(0.963334\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8.06527 | + | 21.4415i | −0.300366 | + | 0.798523i | ||||
\(722\) | 70.1753 | 2.61165 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.348023 | 0.0129342 | ||||||||
\(725\) | 0.349491 | − | 0.605335i | 0.0129798 | − | 0.0224816i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.2963 | − | 24.7620i | −0.530221 | − | 0.918370i | −0.999378 | − | 0.0352553i | \(-0.988776\pi\) |
0.469157 | − | 0.883115i | \(-0.344558\pi\) | |||||||
\(728\) | 0.925789 | − | 1.60351i | 0.0343120 | − | 0.0594302i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 6.94056 | 0.256882 | ||||||||
\(731\) | −37.4840 | −1.38640 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 19.8115 | − | 34.3145i | 0.731755 | − | 1.26744i | −0.224378 | − | 0.974502i | \(-0.572035\pi\) |
0.956133 | − | 0.292934i | \(-0.0946317\pi\) | |||||||
\(734\) | −11.1149 | −0.410258 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.08621 | + | 12.2737i | −0.261201 | + | 0.452414i | ||||
\(737\) | −15.3878 | − | 26.6525i | −0.566817 | − | 0.981756i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.02842 | − | 1.78128i | −0.0378310 | − | 0.0655253i | 0.846490 | − | 0.532405i | \(-0.178712\pi\) |
−0.884321 | + | 0.466879i | \(0.845378\pi\) | |||||||
\(740\) | −0.136268 | − | 0.236023i | −0.00500932 | − | 0.00867639i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −19.4097 | + | 33.6186i | −0.712552 | + | 1.23418i | ||||
\(743\) | 32.4711 | 1.19125 | 0.595625 | − | 0.803263i | \(-0.296905\pi\) | ||||
0.595625 | + | 0.803263i | \(0.296905\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.77731 | −0.284938 | ||||||||
\(746\) | −13.3513 | − | 23.1250i | −0.488824 | − | 0.846668i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 26.6460 | 0.974274 | ||||||||
\(749\) | −20.8507 | − | 36.1146i | −0.761870 | − | 1.31960i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 47.8245 | 1.74514 | 0.872571 | − | 0.488487i | \(-0.162451\pi\) | ||||
0.872571 | + | 0.488487i | \(0.162451\pi\) | |||||||
\(752\) | 41.7979 | 1.52421 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.417618 | + | 0.723336i | −0.0152088 | + | 0.0263423i | ||||
\(755\) | 7.32570 | 0.266610 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −12.8450 | + | 22.2482i | −0.466860 | + | 0.808625i | −0.999283 | − | 0.0378534i | \(-0.987948\pi\) |
0.532424 | + | 0.846478i | \(0.321281\pi\) | |||||||
\(758\) | −4.09371 | −0.148690 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.53915 | 0.0558309 | ||||||||
\(761\) | 6.76475 | − | 11.7169i | 0.245222 | − | 0.424737i | −0.716972 | − | 0.697102i | \(-0.754473\pi\) |
0.962194 | + | 0.272365i | \(0.0878059\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.167809 | 0.00607508 | ||||||||
\(764\) | 3.88664 | + | 6.73187i | 0.140614 | + | 0.243550i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.7863 | − | 23.8785i | 0.498118 | − | 0.862766i | ||||
\(767\) | −10.9796 | − | 19.0173i | −0.396451 | − | 0.686674i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.656525 | − | 1.13713i | −0.0236749 | − | 0.0410061i | 0.853945 | − | 0.520363i | \(-0.174203\pi\) |
−0.877620 | + | 0.479357i | \(0.840870\pi\) | |||||||
\(770\) | −5.20755 | − | 9.01975i | −0.187667 | − | 0.325049i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.60841 | + | 9.71405i | −0.201851 | + | 0.349616i | ||||
\(773\) | 14.4574 | − | 25.0409i | 0.519995 | − | 0.900658i | −0.479735 | − | 0.877414i | \(-0.659267\pi\) |
0.999730 | − | 0.0232442i | \(-0.00739953\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −19.4189 | − | 33.6346i | −0.697548 | − | 1.20819i | ||||
\(776\) | −0.638613 | − | 1.10611i | −0.0229249 | − | 0.0397070i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 36.0578 | + | 62.4540i | 1.29273 | + | 2.23908i | ||||
\(779\) | −31.6628 | + | 54.8417i | −1.13444 | + | 1.96491i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 19.5753 | + | 33.9055i | 0.700461 | + | 1.21323i | ||||
\(782\) | 15.2296 | 0.544609 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.07766 | + | 7.06271i | −0.145631 | + | 0.252240i | ||||
\(785\) | −0.0807647 | −0.00288262 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.226893 | 0.00808787 | 0.00404394 | − | 0.999992i | \(-0.498713\pi\) | ||||
0.00404394 | + | 0.999992i | \(0.498713\pi\) | |||||||
\(788\) | 1.84554 | − | 3.19657i | 0.0657447 | − | 0.113873i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −14.9759 | −0.532820 | ||||||||
\(791\) | −17.0520 | + | 29.5350i | −0.606301 | + | 1.05014i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.29138 | −0.258924 | ||||||||
\(794\) | −1.76903 | −0.0627806 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −5.93350 | − | 10.2771i | −0.210307 | − | 0.364263i | ||||
\(797\) | 46.1439 | 1.63450 | 0.817251 | − | 0.576282i | \(-0.195497\pi\) | ||||
0.817251 | + | 0.576282i | \(0.195497\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −20.8623 | − | 36.1346i | −0.738056 | − | 1.27835i | ||||
\(800\) | 35.2141 | 1.24501 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 24.7435 | 0.873724 | ||||||||
\(803\) | −8.56243 | + | 14.8306i | −0.302162 | + | 0.523359i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.42938 | − | 2.47576i | −0.0503790 | − | 0.0872590i | ||||
\(806\) | 23.2043 | + | 40.1911i | 0.817338 | + | 1.41567i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0.792917 | + | 1.37337i | 0.0278947 | + | 0.0483151i | ||||
\(809\) | 4.54640 | − | 7.87459i | 0.159843 | − | 0.276856i | −0.774969 | − | 0.631999i | \(-0.782235\pi\) |
0.934812 | + | 0.355143i | \(0.115568\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −23.6033 | −0.828823 | −0.414412 | − | 0.910090i | \(-0.636013\pi\) | ||||
−0.414412 | + | 0.910090i | \(0.636013\pi\) | |||||||
\(812\) | −0.322946 | + | 0.559359i | −0.0113332 | + | 0.0196296i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.40023 | 0.0490781 | ||||||||
\(815\) | −10.7185 | −0.375452 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −32.4577 | + | 56.2184i | −1.13555 | + | 1.96683i | ||||
\(818\) | 10.0828 | + | 17.4640i | 0.352538 | + | 0.610614i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 5.51140 | − | 9.54602i | 0.192466 | − | 0.333361i | ||||
\(821\) | −29.1445 | −1.01715 | −0.508575 | − | 0.861018i | \(-0.669828\pi\) | ||||
−0.508575 | + | 0.861018i | \(0.669828\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −24.1054 | −0.840260 | −0.420130 | − | 0.907464i | \(-0.638016\pi\) | ||||
−0.420130 | + | 0.907464i | \(0.638016\pi\) | |||||||
\(824\) | −2.98704 | + | 0.493756i | −0.104059 | + | 0.0172008i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −17.6799 | − | 30.6225i | −0.615163 | − | 1.06549i | ||||
\(827\) | 6.89056 | 0.239608 | 0.119804 | − | 0.992798i | \(-0.461773\pi\) | ||||
0.119804 | + | 0.992798i | \(0.461773\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 21.1289 | − | 36.5964i | 0.733839 | − | 1.27105i | −0.221392 | − | 0.975185i | \(-0.571060\pi\) |
0.955231 | − | 0.295861i | \(-0.0956065\pi\) | |||||||
\(830\) | 8.91419 | + | 15.4398i | 0.309416 | + | 0.535924i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −18.5351 | −0.642588 | ||||||||
\(833\) | 8.14102 | 0.282070 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 3.31979 | − | 5.75005i | 0.114886 | − | 0.198989i | ||||
\(836\) | 23.0730 | − | 39.9636i | 0.797997 | − | 1.38217i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 29.3607 | 1.01425 | ||||||||
\(839\) | −15.1502 | + | 26.2410i | −0.523044 | + | 0.905939i | 0.476596 | + | 0.879122i | \(0.341870\pi\) |
−0.999640 | + | 0.0268166i | \(0.991463\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.4880 | − | 25.0940i | 0.499587 | − | 0.865309i | ||||
\(842\) | −32.1038 | − | 55.6054i | −1.10637 | − | 1.91629i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 17.3973 | + | 30.1330i | 0.598841 | + | 1.03722i | ||||
\(845\) | −1.89582 | + | 3.28365i | −0.0652181 | + | 0.112961i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0.868491 | 0.0298417 | ||||||||
\(848\) | −37.5328 | −1.28888 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −18.9204 | − | 32.7712i | −0.648966 | − | 1.12404i | ||||
\(851\) | 0.384338 | 0.0131749 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.4670 | + | 26.7896i | 0.529580 | + | 0.917259i | 0.999405 | + | 0.0344997i | \(0.0109838\pi\) |
−0.469825 | + | 0.882760i | \(0.655683\pi\) | |||||||
\(854\) | −11.7409 | −0.401766 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.75566 | − | 4.77295i | 0.0941866 | − | 0.163136i | ||||
\(857\) | 21.3022 | − | 36.8965i | 0.727668 | − | 1.26036i | −0.230198 | − | 0.973144i | \(-0.573937\pi\) |
0.957866 | − | 0.287215i | \(-0.0927294\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.81737 | + | 6.61188i | 0.130247 | + | 0.225594i | 0.923772 | − | 0.382944i | \(-0.125090\pi\) |
−0.793525 | + | 0.608538i | \(0.791756\pi\) | |||||||
\(860\) | 5.64976 | − | 9.78567i | 0.192655 | − | 0.333689i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 40.1667 | − | 69.5707i | 1.36808 | − | 2.36959i | ||||
\(863\) | −32.9689 | −1.12227 | −0.561137 | − | 0.827723i | \(-0.689636\pi\) | ||||
−0.561137 | + | 0.827723i | \(0.689636\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.20069 | + | 2.07966i | 0.0408247 | + | 0.0707105i | ||||
\(866\) | −31.5744 | −1.07294 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 17.9440 | + | 31.0799i | 0.609059 | + | 1.05492i | ||||
\(869\) | 18.4755 | − | 32.0005i | 0.626739 | − | 1.08554i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 12.5403 | − | 21.7204i | 0.424911 | − | 0.735968i | ||||
\(872\) | 0.0110889 | + | 0.0192065i | 0.000375518 | + | 0.000650415i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.1874 | − | 22.8413i | 0.446072 | − | 0.772619i | ||||
\(875\) | −7.48552 | + | 12.9653i | −0.253057 | + | 0.438307i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 25.1182 | − | 43.5060i | 0.848182 | − | 1.46909i | −0.0346475 | − | 0.999400i | \(-0.511031\pi\) |
0.882829 | − | 0.469694i | \(-0.155636\pi\) | |||||||
\(878\) | 21.1266 | + | 36.5924i | 0.712990 | + | 1.23493i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 5.03496 | − | 8.72081i | 0.169728 | − | 0.293978i | ||||
\(881\) | 9.12558 | + | 15.8060i | 0.307449 | + | 0.532517i | 0.977803 | − | 0.209524i | \(-0.0671915\pi\) |
−0.670355 | + | 0.742041i | \(0.733858\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.22861 | − | 15.9844i | −0.310567 | − | 0.537918i | 0.667918 | − | 0.744235i | \(-0.267186\pi\) |
−0.978485 | + | 0.206316i | \(0.933852\pi\) | |||||||
\(884\) | 10.8576 | + | 18.8059i | 0.365180 | + | 0.632510i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.87750 | − | 10.1801i | −0.197459 | − | 0.342008i | ||||
\(887\) | −10.8731 | + | 18.8327i | −0.365082 | + | 0.632340i | −0.988789 | − | 0.149317i | \(-0.952292\pi\) |
0.623707 | + | 0.781658i | \(0.285626\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −15.5638 | + | 26.9573i | −0.521994 | + | 0.904119i | ||||
\(890\) | 20.7862 | 0.696755 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 13.9499 | + | 24.1620i | 0.467078 | + | 0.809002i | ||||
\(893\) | −72.2595 | −2.41807 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.23228 | + | 2.13438i | −0.0411907 | + | 0.0713443i | ||||
\(896\) | 5.37133 | 0.179444 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −25.8683 | − | 44.8052i | −0.863236 | − | 1.49517i | ||||
\(899\) | 0.666141 | + | 1.15379i | 0.0222171 | + | 0.0384811i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 18.7335 | + | 32.4474i | 0.624104 | + | 1.08098i | ||||
\(902\) | 28.3163 | + | 49.0453i | 0.942830 | + | 1.63303i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.50724 | −0.149909 | ||||||||
\(905\) | −0.131293 | −0.00436432 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 20.5981 | + | 35.6770i | 0.683950 | + | 1.18464i | 0.973766 | + | 0.227553i | \(0.0730726\pi\) |
−0.289816 | + | 0.957082i | \(0.593594\pi\) | |||||||
\(908\) | 24.4266 | + | 42.3082i | 0.810627 | + | 1.40405i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.24389 | − | 7.35064i | 0.140684 | − | 0.243671i | ||||
\(911\) | −21.9665 | − | 38.0472i | −0.727784 | − | 1.26056i | −0.957818 | − | 0.287376i | \(-0.907217\pi\) |
0.230034 | − | 0.973183i | \(-0.426116\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −43.9891 | −1.45583 | ||||||||
\(914\) | −46.4758 | −1.53728 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 9.38412 | − | 16.2538i | 0.310060 | − | 0.537040i | ||||
\(917\) | −8.09381 | −0.267281 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.34306 | 0.209238 | 0.104619 | − | 0.994512i | \(-0.466638\pi\) | ||||
0.104619 | + | 0.994512i | \(0.466638\pi\) | |||||||
\(920\) | 0.188909 | − | 0.327199i | 0.00622813 | − | 0.0107874i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 36.3455 | − | 62.9522i | 1.19697 | − | 2.07322i | ||||
\(923\) | −15.9529 | + | 27.6313i | −0.525097 | + | 0.909494i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.477481 | − | 0.827022i | −0.0156995 | − | 0.0271923i | ||||
\(926\) | −13.3010 | −0.437099 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.20798 | −0.0396538 | ||||||||
\(929\) | 19.9639 | + | 34.5785i | 0.654994 | + | 1.13448i | 0.981895 | + | 0.189424i | \(0.0606621\pi\) |
−0.326902 | + | 0.945058i | \(0.606005\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.04939 | − | 12.2099i | 0.231034 | − | 0.400163i | ||||
\(932\) | −11.8485 | + | 20.5223i | −0.388112 | + | 0.672229i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 19.9898 | − | 34.6233i | 0.654086 | − | 1.13291i | ||||
\(935\) | −10.0523 | −0.328744 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −31.3729 | −1.02491 | −0.512453 | − | 0.858715i | \(-0.671263\pi\) | ||||
−0.512453 | + | 0.858715i | \(0.671263\pi\) | |||||||
\(938\) | 20.1930 | − | 34.9753i | 0.659324 | − | 1.14198i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 12.5778 | 0.410244 | ||||||||
\(941\) | 14.1772 | 0.462163 | 0.231082 | − | 0.972934i | \(-0.425774\pi\) | ||||
0.231082 | + | 0.972934i | \(0.425774\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.77232 | + | 13.4621i | 0.253102 | + | 0.438385i | ||||
\(944\) | 17.0940 | − | 29.6076i | 0.556361 | − | 0.963645i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 29.0272 | + | 50.2766i | 0.943755 | + | 1.63463i | ||||
\(947\) | 6.76021 | + | 11.7090i | 0.219677 | + | 0.380492i | 0.954709 | − | 0.297540i | \(-0.0961662\pi\) |
−0.735032 | + | 0.678032i | \(0.762833\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.9559 | −0.453028 | ||||||||
\(950\) | −65.5335 | −2.12619 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.43882 | − | 2.49210i | −0.0466323 | − | 0.0807695i | ||||
\(953\) | −17.5283 | − | 30.3599i | −0.567797 | − | 0.983454i | −0.996783 | − | 0.0801427i | \(-0.974462\pi\) |
0.428986 | − | 0.903311i | \(-0.358871\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.46625 | − | 2.53961i | −0.0474466 | − | 0.0821800i | ||||
\(956\) | 6.30985 | + | 10.9290i | 0.204075 | + | 0.353469i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 72.6809 | 2.34821 | ||||||||
\(959\) | 5.61945 | − | 9.73317i | 0.181461 | − | 0.314300i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 43.0263 | 1.38795 | ||||||||
\(962\) | 0.570559 | + | 0.988237i | 0.0183956 | + | 0.0318620i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −37.8045 | −1.21760 | ||||||||
\(965\) | 2.11579 | − | 3.66465i | 0.0681096 | − | 0.117969i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −6.54205 | + | 11.3312i | −0.210378 | + | 0.364385i | −0.951833 | − | 0.306617i | \(-0.900803\pi\) |
0.741455 | + | 0.671003i | \(0.234136\pi\) | |||||||
\(968\) | 0.0573904 | + | 0.0994031i | 0.00184460 | + | 0.00319494i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.92745 | − | 5.07050i | −0.0939949 | − | 0.162804i | ||||
\(971\) | −14.5096 | − | 25.1313i | −0.465634 | − | 0.806502i | 0.533596 | − | 0.845740i | \(-0.320840\pi\) |
−0.999230 | + | 0.0392374i | \(0.987507\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 24.3446 | + | 42.1660i | 0.780451 | + | 1.35178i | ||||
\(974\) | −2.52879 | + | 4.37999i | −0.0810276 | + | 0.140344i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.67590 | − | 9.83094i | −0.181681 | − | 0.314681i | ||||
\(977\) | −10.7895 | + | 18.6879i | −0.345186 | + | 0.597880i | −0.985388 | − | 0.170327i | \(-0.945518\pi\) |
0.640201 | + | 0.768207i | \(0.278851\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −25.6435 | + | 44.4159i | −0.819571 | + | 1.41954i | ||||
\(980\) | −1.22705 | + | 2.12532i | −0.0391967 | + | 0.0678908i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.106427 | + | 0.184336i | 0.00339621 | + | 0.00588240i | ||||
\(983\) | 13.4990 | − | 23.3809i | 0.430551 | − | 0.745736i | −0.566370 | − | 0.824151i | \(-0.691653\pi\) |
0.996921 | + | 0.0784150i | \(0.0249859\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.696235 | + | 1.20591i | −0.0221839 | + | 0.0384236i | ||||
\(986\) | 0.649042 | + | 1.12417i | 0.0206697 | + | 0.0358010i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 37.6067 | 1.19643 | ||||||||
\(989\) | 7.96744 | + | 13.8000i | 0.253350 | + | 0.438815i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 28.7450 | 0.913115 | 0.456558 | − | 0.889694i | \(-0.349082\pi\) | ||||
0.456558 | + | 0.889694i | \(0.349082\pi\) | |||||||
\(992\) | −33.5597 | + | 58.1271i | −1.06552 | + | 1.84554i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −25.6882 | + | 44.4932i | −0.814779 | + | 1.41124i | ||||
\(995\) | 2.23843 | + | 3.87707i | 0.0709630 | + | 0.122912i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 0.432790 | − | 0.749614i | 0.0137066 | − | 0.0237405i | −0.859091 | − | 0.511823i | \(-0.828970\pi\) |
0.872797 | + | 0.488083i | \(0.162304\pi\) | |||||||
\(998\) | −26.8318 | + | 46.4740i | −0.849344 | + | 1.47111i | ||||
\(999\) | 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 | 927.2.f.f.46.3 | ✓ | 32 | |
3.2 | odd | 2 | inner | 927.2.f.f.46.14 | yes | 32 | |
103.56 | even | 3 | inner | 927.2.f.f.262.3 | yes | 32 | |
309.56 | odd | 6 | inner | 927.2.f.f.262.14 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.f.f.46.3 | ✓ | 32 | 1.1 | even | 1 | trivial | |
927.2.f.f.46.14 | yes | 32 | 3.2 | odd | 2 | inner | |
927.2.f.f.262.3 | yes | 32 | 103.56 | even | 3 | inner | |
927.2.f.f.262.14 | yes | 32 | 309.56 | odd | 6 | inner |