Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(64,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.u (of order \(7\), degree \(6\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 64.3 | ||
Character | \(\chi\) | \(=\) | 441.64 |
Dual form | 441.2.u.e.379.3 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.418387 | + | 1.83307i | −0.295844 | + | 1.29618i | 0.580408 | + | 0.814326i | \(0.302893\pi\) |
−0.876252 | + | 0.481853i | \(0.839964\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.38317 | − | 0.666101i | −0.691586 | − | 0.333050i | ||||
\(5\) | 0.364972 | − | 0.457660i | 0.163220 | − | 0.204672i | −0.693495 | − | 0.720462i | \(-0.743930\pi\) |
0.856715 | + | 0.515790i | \(0.172501\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.75476 | − | 1.98010i | −0.663239 | − | 0.748408i | ||||
\(8\) | −0.544876 | + | 0.683253i | −0.192643 | + | 0.241566i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.686225 | + | 0.860499i | 0.217003 | + | 0.272114i | ||||
\(11\) | −1.10244 | + | 4.83010i | −0.332398 | + | 1.45633i | 0.482076 | + | 0.876129i | \(0.339883\pi\) |
−0.814474 | + | 0.580200i | \(0.802974\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.595386 | + | 2.60856i | −0.165130 | + | 0.723484i | 0.822767 | + | 0.568378i | \(0.192429\pi\) |
−0.987898 | + | 0.155106i | \(0.950428\pi\) | |||||||
\(14\) | 4.36384 | − | 2.38816i | 1.16629 | − | 0.638264i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.93885 | − | 3.68521i | −0.734713 | − | 0.921301i | ||||
\(17\) | −5.69008 | + | 2.74020i | −1.38005 | + | 0.664596i | −0.969010 | − | 0.247022i | \(-0.920548\pi\) |
−0.411038 | + | 0.911618i | \(0.634834\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −7.42404 | −1.70319 | −0.851596 | − | 0.524199i | \(-0.824365\pi\) | ||||
−0.851596 | + | 0.524199i | \(0.824365\pi\) | |||||||
\(20\) | −0.809667 | + | 0.389915i | −0.181047 | + | 0.0871876i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −8.39268 | − | 4.04170i | −1.78933 | − | 0.861694i | ||||
\(23\) | 5.60040 | + | 2.69701i | 1.16776 | + | 0.562366i | 0.914323 | − | 0.404985i | \(-0.132723\pi\) |
0.253442 | + | 0.967351i | \(0.418437\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.03636 | + | 4.54057i | 0.207271 | + | 0.908115i | ||||
\(26\) | −4.53258 | − | 2.18277i | −0.888911 | − | 0.428077i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.10820 | + | 3.90767i | 0.209429 | + | 0.738480i | ||||
\(29\) | −0.980927 | + | 0.472389i | −0.182154 | + | 0.0877205i | −0.522738 | − | 0.852493i | \(-0.675089\pi\) |
0.340584 | + | 0.940214i | \(0.389375\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.19420 | 0.753301 | 0.376651 | − | 0.926355i | \(-0.377076\pi\) | ||||
0.376651 | + | 0.926355i | \(0.377076\pi\) | |||||||
\(32\) | 6.41009 | − | 3.08694i | 1.13316 | − | 0.545699i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.64233 | − | 11.5768i | −0.453156 | − | 1.98540i | ||||
\(35\) | −1.54665 | + | 0.0804050i | −0.261432 | + | 0.0135909i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.70021 | − | 4.18980i | 1.43031 | − | 0.688799i | 0.451251 | − | 0.892397i | \(-0.350978\pi\) |
0.979055 | + | 0.203598i | \(0.0652635\pi\) | |||||||
\(38\) | 3.10612 | − | 13.6088i | 0.503880 | − | 2.20764i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.113833 | + | 0.498736i | 0.0179986 | + | 0.0788571i | ||||
\(41\) | −4.33608 | + | 5.43727i | −0.677182 | + | 0.849159i | −0.995091 | − | 0.0989620i | \(-0.968448\pi\) |
0.317909 | + | 0.948121i | \(0.397019\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.611376 | − | 0.766641i | −0.0932339 | − | 0.116912i | 0.733026 | − | 0.680200i | \(-0.238107\pi\) |
−0.826260 | + | 0.563289i | \(0.809536\pi\) | |||||||
\(44\) | 4.74219 | − | 5.94652i | 0.714913 | − | 0.896472i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.28696 | + | 9.13756i | −1.07440 | + | 1.34726i | ||||
\(47\) | 2.49397 | − | 10.9268i | 0.363783 | − | 1.59384i | −0.379718 | − | 0.925102i | \(-0.623979\pi\) |
0.743501 | − | 0.668735i | \(-0.233164\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.841600 | + | 6.94922i | −0.120229 | + | 0.992746i | ||||
\(50\) | −8.75680 | −1.23840 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.56108 | − | 3.21150i | 0.355159 | − | 0.445355i | ||||
\(53\) | −0.372613 | − | 0.179441i | −0.0511824 | − | 0.0246481i | 0.408117 | − | 0.912929i | \(-0.366185\pi\) |
−0.459300 | + | 0.888281i | \(0.651900\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.80818 | + | 2.26739i | 0.243816 | + | 0.305735i | ||||
\(56\) | 2.30904 | − | 0.120039i | 0.308558 | − | 0.0160408i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.455517 | − | 1.99575i | −0.0598124 | − | 0.262055i | ||||
\(59\) | −4.08380 | − | 5.12093i | −0.531666 | − | 0.666688i | 0.441374 | − | 0.897323i | \(-0.354491\pi\) |
−0.973040 | + | 0.230635i | \(0.925920\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.64278 | − | 3.19899i | 0.850521 | − | 0.409589i | 0.0427500 | − | 0.999086i | \(-0.486388\pi\) |
0.807771 | + | 0.589496i | \(0.200674\pi\) | |||||||
\(62\) | −1.75480 | + | 7.68828i | −0.222860 | + | 0.976413i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.878955 | + | 3.85095i | 0.109869 | + | 0.481369i | ||||
\(65\) | 0.976534 | + | 1.22453i | 0.121124 | + | 0.151885i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.66017 | 0.935839 | 0.467919 | − | 0.883771i | \(-0.345004\pi\) | ||||
0.467919 | + | 0.883771i | \(0.345004\pi\) | |||||||
\(68\) | 9.69561 | 1.17577 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.499711 | − | 2.86877i | 0.0597269 | − | 0.342883i | ||||
\(71\) | −7.91463 | − | 3.81149i | −0.939294 | − | 0.452340i | −0.0993739 | − | 0.995050i | \(-0.531684\pi\) |
−0.839920 | + | 0.542710i | \(0.817398\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.88441 | + | 8.25614i | 0.220554 | + | 0.966308i | 0.957063 | + | 0.289881i | \(0.0936157\pi\) |
−0.736509 | + | 0.676428i | \(0.763527\pi\) | |||||||
\(74\) | 4.04016 | + | 17.7011i | 0.469659 | + | 2.05771i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 10.2687 | + | 4.94516i | 1.17790 | + | 0.567249i | ||||
\(77\) | 11.4986 | − | 6.29275i | 1.31039 | − | 0.717125i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.434187 | −0.0488499 | −0.0244249 | − | 0.999702i | \(-0.507775\pi\) | ||||
−0.0244249 | + | 0.999702i | \(0.507775\pi\) | |||||||
\(80\) | −2.75917 | −0.308485 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.15276 | − | 10.2232i | −0.900321 | − | 1.12897i | ||||
\(83\) | 0.936843 | + | 4.10458i | 0.102832 | + | 0.450536i | 0.999962 | + | 0.00876855i | \(0.00279115\pi\) |
−0.897130 | + | 0.441767i | \(0.854352\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.822640 | + | 3.60422i | −0.0892278 | + | 0.390932i | ||||
\(86\) | 1.66110 | − | 0.799944i | 0.179121 | − | 0.0862601i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.69949 | − | 3.38505i | −0.287766 | − | 0.360848i | ||||
\(89\) | −0.0408453 | − | 0.178955i | −0.00432959 | − | 0.0189692i | 0.972717 | − | 0.231995i | \(-0.0745253\pi\) |
−0.977047 | + | 0.213026i | \(0.931668\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 6.20997 | − | 3.39848i | 0.650982 | − | 0.356258i | ||||
\(92\) | −5.94984 | − | 7.46087i | −0.620314 | − | 0.777849i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 18.9862 | + | 9.14326i | 1.95827 | + | 0.943055i | ||||
\(95\) | −2.70957 | + | 3.39769i | −0.277996 | + | 0.348595i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.22181 | 0.530195 | 0.265097 | − | 0.964222i | \(-0.414596\pi\) | ||||
0.265097 | + | 0.964222i | \(0.414596\pi\) | |||||||
\(98\) | −12.3863 | − | 4.45018i | −1.25121 | − | 0.449536i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.59102 | − | 6.97071i | 0.159102 | − | 0.697071i | ||||
\(101\) | −5.04295 | + | 6.32366i | −0.501792 | + | 0.629227i | −0.966633 | − | 0.256167i | \(-0.917540\pi\) |
0.464840 | + | 0.885394i | \(0.346112\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.13439 | + | 2.67644i | −0.210308 | + | 0.263718i | −0.875786 | − | 0.482700i | \(-0.839656\pi\) |
0.665478 | + | 0.746417i | \(0.268228\pi\) | |||||||
\(104\) | −1.45789 | − | 1.82814i | −0.142958 | − | 0.179264i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.484825 | − | 0.607952i | 0.0470904 | − | 0.0590495i | ||||
\(107\) | 2.94957 | + | 12.9229i | 0.285145 | + | 1.24930i | 0.891101 | + | 0.453805i | \(0.149934\pi\) |
−0.605956 | + | 0.795498i | \(0.707209\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.86185 | + | 12.5386i | −0.274115 | + | 1.20098i | 0.630991 | + | 0.775790i | \(0.282649\pi\) |
−0.905106 | + | 0.425186i | \(0.860209\pi\) | |||||||
\(110\) | −4.91282 | + | 2.36589i | −0.468419 | + | 0.225579i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.14008 | + | 12.2859i | −0.202219 | + | 1.16091i | ||||
\(113\) | 3.30096 | + | 14.4625i | 0.310528 | + | 1.36051i | 0.853645 | + | 0.520856i | \(0.174387\pi\) |
−0.543116 | + | 0.839658i | \(0.682756\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.27830 | − | 1.57875i | 0.305703 | − | 0.147219i | ||||
\(116\) | 1.67145 | 0.155190 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 11.0956 | − | 5.34338i | 1.02144 | − | 0.491898i | ||||
\(119\) | 15.4106 | + | 6.45853i | 1.41269 | + | 0.592053i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −12.2038 | − | 5.87705i | −1.10944 | − | 0.534278i | ||||
\(122\) | 3.08474 | + | 13.5151i | 0.279279 | + | 1.22360i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −5.80131 | − | 2.79376i | −0.520973 | − | 0.250887i | ||||
\(125\) | 5.09328 | + | 2.45279i | 0.455557 | + | 0.219385i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.4030 | + | 7.41770i | −1.36680 | + | 0.658214i | −0.966141 | − | 0.258015i | \(-0.916932\pi\) |
−0.400655 | + | 0.916229i | \(0.631217\pi\) | |||||||
\(128\) | 6.80251 | 0.601263 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.65323 | + | 1.27773i | −0.232704 | + | 0.112064i | ||||
\(131\) | −7.28531 | − | 9.13549i | −0.636520 | − | 0.798171i | 0.354043 | − | 0.935229i | \(-0.384807\pi\) |
−0.990563 | + | 0.137058i | \(0.956235\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13.0274 | + | 14.7004i | 1.12962 | + | 1.27468i | ||||
\(134\) | −3.20492 | + | 14.0417i | −0.276863 | + | 1.21301i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.22814 | − | 5.38083i | 0.105312 | − | 0.461403i | ||||
\(137\) | −5.19256 | − | 6.51127i | −0.443631 | − | 0.556295i | 0.508865 | − | 0.860846i | \(-0.330065\pi\) |
−0.952496 | + | 0.304551i | \(0.901494\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 11.9526 | − | 14.9881i | 1.01381 | − | 1.27127i | 0.0516822 | − | 0.998664i | \(-0.483542\pi\) |
0.962125 | − | 0.272610i | \(-0.0878868\pi\) | |||||||
\(140\) | 2.19285 | + | 0.919013i | 0.185329 | + | 0.0776708i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 10.2981 | − | 12.9134i | 0.864198 | − | 1.08367i | ||||
\(143\) | −11.9432 | − | 5.75155i | −0.998742 | − | 0.480969i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.141817 | + | 0.621340i | −0.0117772 | + | 0.0515995i | ||||
\(146\) | −15.9225 | −1.31776 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −14.8247 | −1.21858 | ||||||||
\(149\) | 1.47887 | − | 6.47935i | 0.121154 | − | 0.530809i | −0.877530 | − | 0.479522i | \(-0.840810\pi\) |
0.998684 | − | 0.0512879i | \(-0.0163326\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.95202 | − | 2.38477i | −0.402990 | − | 0.194070i | 0.221399 | − | 0.975183i | \(-0.428938\pi\) |
−0.624389 | + | 0.781114i | \(0.714652\pi\) | |||||||
\(152\) | 4.04518 | − | 5.07250i | 0.328108 | − | 0.411434i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.72420 | + | 23.7106i | 0.541852 | + | 1.91065i | ||||
\(155\) | 1.53077 | − | 1.91952i | 0.122954 | − | 0.154180i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.57651 | − | 6.99272i | −0.445054 | − | 0.558080i | 0.507813 | − | 0.861467i | \(-0.330454\pi\) |
−0.952867 | + | 0.303387i | \(0.901883\pi\) | |||||||
\(158\) | 0.181658 | − | 0.795897i | 0.0144520 | − | 0.0633182i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.926735 | − | 4.06029i | 0.0732648 | − | 0.320994i | ||||
\(161\) | −4.48704 | − | 15.8220i | −0.353628 | − | 1.24695i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.74180 | + | 7.19999i | 0.449732 | + | 0.563946i | 0.954079 | − | 0.299555i | \(-0.0968381\pi\) |
−0.504347 | + | 0.863501i | \(0.668267\pi\) | |||||||
\(164\) | 9.61931 | − | 4.63242i | 0.751142 | − | 0.361731i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −7.91595 | −0.614397 | ||||||||
\(167\) | 11.1422 | − | 5.36582i | 0.862212 | − | 0.415220i | 0.0501163 | − | 0.998743i | \(-0.484041\pi\) |
0.812096 | + | 0.583524i | \(0.198327\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.26250 | + | 2.53429i | 0.404808 | + | 0.194945i | ||||
\(170\) | −6.26262 | − | 3.01592i | −0.480321 | − | 0.231310i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.334978 | + | 1.46763i | 0.0255418 | + | 0.111906i | ||||
\(173\) | −0.575059 | − | 0.276934i | −0.0437209 | − | 0.0210549i | 0.411896 | − | 0.911231i | \(-0.364867\pi\) |
−0.455616 | + | 0.890176i | \(0.650581\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.17223 | − | 10.0197i | 0.542170 | − | 0.757420i | ||||
\(176\) | 21.0398 | − | 10.1322i | 1.58594 | − | 0.763746i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.345127 | 0.0258683 | ||||||||
\(179\) | −7.99421 | + | 3.84981i | −0.597516 | + | 0.287748i | −0.708093 | − | 0.706119i | \(-0.750444\pi\) |
0.110577 | + | 0.993868i | \(0.464730\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.33053 | + | 14.5920i | 0.247557 | + | 1.08462i | 0.933955 | + | 0.357391i | \(0.116334\pi\) |
−0.686398 | + | 0.727226i | \(0.740809\pi\) | |||||||
\(182\) | 3.63149 | + | 12.8052i | 0.269184 | + | 0.949186i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.89427 | + | 2.35696i | −0.360810 | + | 0.173757i | ||||
\(185\) | 1.25783 | − | 5.51090i | 0.0924773 | − | 0.405169i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.96247 | − | 30.5046i | −0.509146 | − | 2.23071i | ||||
\(188\) | −10.7279 | + | 13.4524i | −0.782415 | + | 0.981117i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −5.09456 | − | 6.38838i | −0.369598 | − | 0.463462i | ||||
\(191\) | −5.75308 | + | 7.21414i | −0.416278 | + | 0.521997i | −0.945120 | − | 0.326724i | \(-0.894055\pi\) |
0.528841 | + | 0.848721i | \(0.322627\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.236017 | + | 0.295956i | −0.0169889 | + | 0.0213034i | −0.790253 | − | 0.612780i | \(-0.790051\pi\) |
0.773264 | + | 0.634084i | \(0.218623\pi\) | |||||||
\(194\) | −2.18474 | + | 9.57197i | −0.156855 | + | 0.687227i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 5.79296 | − | 9.05138i | 0.413783 | − | 0.646527i | ||||
\(197\) | 20.7128 | 1.47573 | 0.737863 | − | 0.674950i | \(-0.235835\pi\) | ||||
0.737863 | + | 0.674950i | \(0.235835\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.0362 | + | 13.8390i | −0.782338 | + | 0.981021i | 0.217650 | + | 0.976027i | \(0.430161\pi\) |
−0.999988 | + | 0.00499380i | \(0.998410\pi\) | |||||||
\(200\) | −3.66705 | − | 1.76596i | −0.259299 | − | 0.124872i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9.48182 | − | 11.8898i | −0.667139 | − | 0.836565i | ||||
\(203\) | 2.65667 | + | 1.11340i | 0.186462 | + | 0.0781455i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.905876 | + | 3.96890i | 0.0632691 | + | 0.277200i | ||||
\(206\) | −4.01311 | − | 5.03228i | −0.279607 | − | 0.350616i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 11.3628 | − | 5.47205i | 0.787870 | − | 0.379418i | ||||
\(209\) | 8.18455 | − | 35.8588i | 0.566137 | − | 2.48041i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.502270 | − | 2.20059i | −0.0345777 | − | 0.151495i | 0.954692 | − | 0.297596i | \(-0.0961847\pi\) |
−0.989270 | + | 0.146101i | \(0.953328\pi\) | |||||||
\(212\) | 0.395862 | + | 0.496396i | 0.0271879 | + | 0.0340926i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −24.9227 | −1.70368 | ||||||||
\(215\) | −0.573996 | −0.0391462 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.35984 | − | 8.30495i | −0.499619 | − | 0.563776i | ||||
\(218\) | −21.7867 | − | 10.4919i | −1.47558 | − | 0.710604i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.990720 | − | 4.34063i | −0.0667943 | − | 0.292645i | ||||
\(221\) | −3.76017 | − | 16.4744i | −0.252937 | − | 1.10819i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.46249 | + | 2.14902i | 0.298831 | + | 0.143909i | 0.577291 | − | 0.816538i | \(-0.304110\pi\) |
−0.278460 | + | 0.960448i | \(0.589824\pi\) | |||||||
\(224\) | −17.3607 | − | 7.27578i | −1.15996 | − | 0.486134i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −27.8918 | −1.85534 | ||||||||
\(227\) | 29.9858 | 1.99023 | 0.995115 | − | 0.0987199i | \(-0.0314748\pi\) | ||||
0.995115 | + | 0.0987199i | \(0.0314748\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 5.39112 | + | 6.76025i | 0.356255 | + | 0.446730i | 0.927373 | − | 0.374138i | \(-0.122061\pi\) |
−0.571118 | + | 0.820868i | \(0.693490\pi\) | |||||||
\(230\) | 1.52236 | + | 6.66990i | 0.100382 | + | 0.439800i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.211722 | − | 0.927615i | 0.0139002 | − | 0.0609009i | ||||
\(233\) | −1.62661 | + | 0.783332i | −0.106562 | + | 0.0513178i | −0.486406 | − | 0.873733i | \(-0.661692\pi\) |
0.379843 | + | 0.925051i | \(0.375978\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.09053 | − | 5.12936i | −0.266837 | − | 0.334603i | ||||
\(236\) | 2.23755 | + | 9.80335i | 0.145652 | + | 0.638144i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −18.2866 | + | 25.5466i | −1.18534 | + | 1.65594i | ||||
\(239\) | −6.73112 | − | 8.44056i | −0.435400 | − | 0.545974i | 0.514924 | − | 0.857236i | \(-0.327820\pi\) |
−0.950324 | + | 0.311261i | \(0.899249\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.79797 | − | 3.75531i | −0.502312 | − | 0.241901i | 0.165529 | − | 0.986205i | \(-0.447067\pi\) |
−0.667841 | + | 0.744304i | \(0.732781\pi\) | |||||||
\(242\) | 15.8790 | − | 19.9116i | 1.02074 | − | 1.27997i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −11.3190 | −0.724622 | ||||||||
\(245\) | 2.87322 | + | 2.92144i | 0.183563 | + | 0.186644i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.42017 | − | 19.3660i | 0.281249 | − | 1.23223i | ||||
\(248\) | −2.28532 | + | 2.86570i | −0.145118 | + | 0.181972i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.62711 | + | 8.31014i | −0.419135 | + | 0.525579i | ||||
\(251\) | −9.49433 | − | 11.9055i | −0.599277 | − | 0.751470i | 0.385988 | − | 0.922504i | \(-0.373861\pi\) |
−0.985265 | + | 0.171034i | \(0.945289\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −19.2009 | + | 24.0772i | −1.20715 | + | 1.51372i | ||||
\(254\) | −7.15276 | − | 31.3383i | −0.448804 | − | 1.96634i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.60399 | + | 20.1714i | −0.287750 | + | 1.26071i | ||||
\(257\) | 0.538372 | − | 0.259266i | 0.0335827 | − | 0.0161726i | −0.417017 | − | 0.908899i | \(-0.636924\pi\) |
0.450600 | + | 0.892726i | \(0.351210\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −23.5631 | − | 9.87518i | −1.46414 | − | 0.613614i | ||||
\(260\) | −0.535051 | − | 2.34421i | −0.0331825 | − | 0.145382i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 19.7941 | − | 9.53234i | 1.22288 | − | 0.588910i | ||||
\(263\) | 9.69996 | 0.598125 | 0.299063 | − | 0.954233i | \(-0.403326\pi\) | ||||
0.299063 | + | 0.954233i | \(0.403326\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.218116 | + | 0.105039i | −0.0133988 | + | 0.00645251i | ||||
\(266\) | −32.3973 | + | 17.7298i | −1.98641 | + | 1.08709i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.5953 | − | 5.10244i | −0.647213 | − | 0.311681i | ||||
\(269\) | 4.41807 | + | 19.3568i | 0.269374 | + | 1.18021i | 0.910743 | + | 0.412973i | \(0.135510\pi\) |
−0.641369 | + | 0.767233i | \(0.721633\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.56185 | − | 1.23372i | −0.155621 | − | 0.0749433i | 0.354452 | − | 0.935074i | \(-0.384667\pi\) |
−0.510073 | + | 0.860131i | \(0.670382\pi\) | |||||||
\(272\) | 26.8205 | + | 12.9161i | 1.62623 | + | 0.783152i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 14.1081 | − | 6.79412i | 0.852304 | − | 0.410448i | ||||
\(275\) | −23.0739 | −1.39141 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 9.83610 | − | 4.73681i | 0.590994 | − | 0.284608i | −0.114387 | − | 0.993436i | \(-0.536490\pi\) |
0.705381 | + | 0.708829i | \(0.250776\pi\) | |||||||
\(278\) | 22.4735 | + | 28.1808i | 1.34787 | + | 1.69017i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.787797 | − | 1.10057i | 0.0470799 | − | 0.0657714i | ||||
\(281\) | −6.20706 | + | 27.1949i | −0.370282 | + | 1.62231i | 0.355702 | + | 0.934599i | \(0.384242\pi\) |
−0.725984 | + | 0.687712i | \(0.758615\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 1.44984 | − | 6.35214i | 0.0861838 | − | 0.377596i | −0.913381 | − | 0.407106i | \(-0.866538\pi\) |
0.999564 | + | 0.0295108i | \(0.00939493\pi\) | |||||||
\(284\) | 8.40847 | + | 10.5439i | 0.498951 | + | 0.625664i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 15.5399 | − | 19.4864i | 0.918894 | − | 1.15226i | ||||
\(287\) | 18.3751 | − | 0.955258i | 1.08465 | − | 0.0563871i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.2690 | − | 17.8928i | 0.839354 | − | 1.05252i | ||||
\(290\) | −1.07963 | − | 0.519921i | −0.0633979 | − | 0.0305308i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.89296 | − | 12.6749i | 0.169298 | − | 0.741741i | ||||
\(293\) | 4.61665 | 0.269708 | 0.134854 | − | 0.990865i | \(-0.456944\pi\) | ||||
0.134854 | + | 0.990865i | \(0.456944\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.83412 | −0.223231 | ||||||||
\(296\) | −1.87784 | + | 8.22737i | −0.109147 | + | 0.478206i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.2584 | + | 5.42176i | 0.652181 | + | 0.314074i | ||||
\(299\) | −10.3697 | + | 13.0032i | −0.599696 | + | 0.751995i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.445206 | + | 2.55586i | −0.0256612 | + | 0.147317i | ||||
\(302\) | 6.44332 | − | 8.07967i | 0.370771 | − | 0.464933i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 21.8182 | + | 27.3591i | 1.25136 | + | 1.56915i | ||||
\(305\) | 0.960375 | − | 4.20768i | 0.0549909 | − | 0.240931i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2.70168 | + | 11.8368i | −0.154193 | + | 0.675563i | 0.837446 | + | 0.546520i | \(0.184048\pi\) |
−0.991639 | + | 0.129043i | \(0.958809\pi\) | |||||||
\(308\) | −20.0962 | + | 1.04473i | −1.14508 | + | 0.0595288i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.87817 | + | 3.60911i | 0.163469 | + | 0.204984i | ||||
\(311\) | −27.8125 | + | 13.3938i | −1.57710 | + | 0.759492i | −0.998427 | − | 0.0560673i | \(-0.982144\pi\) |
−0.578674 | + | 0.815559i | \(0.696430\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −35.2779 | −1.99403 | −0.997013 | − | 0.0772309i | \(-0.975392\pi\) | ||||
−0.997013 | + | 0.0772309i | \(0.975392\pi\) | |||||||
\(314\) | 15.1513 | − | 7.29649i | 0.855038 | − | 0.411765i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.600556 | + | 0.289212i | 0.0337839 | + | 0.0162695i | ||||
\(317\) | −20.0679 | − | 9.66418i | −1.12712 | − | 0.542794i | −0.225038 | − | 0.974350i | \(-0.572250\pi\) |
−0.902086 | + | 0.431556i | \(0.857965\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.20028 | − | 5.25875i | −0.0672026 | − | 0.294434i | ||||
\(320\) | 2.08322 | + | 1.00323i | 0.116456 | + | 0.0560821i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 30.8802 | − | 1.60535i | 1.72089 | − | 0.0894627i | ||||
\(323\) | 42.2434 | − | 20.3433i | 2.35049 | − | 1.13193i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.4614 | −0.691233 | ||||||||
\(326\) | −15.6004 | + | 7.51276i | −0.864026 | + | 0.416093i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −1.35241 | − | 5.92528i | −0.0746741 | − | 0.327169i | ||||
\(329\) | −26.0125 | + | 14.2356i | −1.43411 | + | 0.784836i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 14.6596 | − | 7.05970i | 0.805765 | − | 0.388036i | 0.0147949 | − | 0.999891i | \(-0.495290\pi\) |
0.790970 | + | 0.611854i | \(0.209576\pi\) | |||||||
\(332\) | 1.43825 | − | 6.30137i | 0.0789340 | − | 0.345832i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 5.17417 | + | 22.6695i | 0.283118 | + | 1.24042i | ||||
\(335\) | 2.79575 | − | 3.50575i | 0.152748 | − | 0.191540i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.28378 | − | 1.60981i | −0.0699321 | − | 0.0876921i | 0.745635 | − | 0.666355i | \(-0.232146\pi\) |
−0.815567 | + | 0.578663i | \(0.803575\pi\) | |||||||
\(338\) | −6.84730 | + | 8.58624i | −0.372444 | + | 0.467030i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.53863 | − | 4.43730i | 0.191909 | − | 0.240646i | ||||
\(341\) | −4.62385 | + | 20.2584i | −0.250396 | + | 1.09705i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.2370 | − | 10.5278i | 0.822719 | − | 0.568448i | ||||
\(344\) | 0.856933 | 0.0462028 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.748237 | − | 0.938259i | 0.0402255 | − | 0.0504411i | ||||
\(347\) | −12.3714 | − | 5.95776i | −0.664132 | − | 0.319829i | 0.0712731 | − | 0.997457i | \(-0.477294\pi\) |
−0.735405 | + | 0.677628i | \(0.763008\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.49923 | + | 6.89581i | 0.294367 | + | 0.369124i | 0.906918 | − | 0.421306i | \(-0.138428\pi\) |
−0.612552 | + | 0.790431i | \(0.709857\pi\) | |||||||
\(350\) | 15.3661 | + | 17.3394i | 0.821354 | + | 0.926827i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 7.84348 | + | 34.3645i | 0.418059 | + | 1.83164i | ||||
\(353\) | 15.9888 | + | 20.0493i | 0.850999 | + | 1.06712i | 0.996967 | + | 0.0778295i | \(0.0247990\pi\) |
−0.145968 | + | 0.989289i | \(0.546630\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.63298 | + | 2.23113i | −0.245893 | + | 0.118416i | ||||
\(356\) | −0.0627059 | + | 0.274733i | −0.00332341 | + | 0.0145608i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.71231 | − | 16.2647i | −0.196202 | − | 0.859616i | ||||
\(359\) | 11.2026 | + | 14.0476i | 0.591250 | + | 0.741404i | 0.983986 | − | 0.178248i | \(-0.0570428\pi\) |
−0.392736 | + | 0.919651i | \(0.628471\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 36.1164 | 1.90086 | ||||||||
\(362\) | −28.1417 | −1.47909 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −10.8532 | + | 0.564219i | −0.568862 | + | 0.0295731i | ||||
\(365\) | 4.46626 | + | 2.15084i | 0.233775 | + | 0.112580i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.77955 | + | 12.1780i | 0.145091 | + | 0.635687i | 0.994207 | + | 0.107480i | \(0.0342782\pi\) |
−0.849116 | + | 0.528207i | \(0.822865\pi\) | |||||||
\(368\) | −6.51972 | − | 28.5648i | −0.339864 | − | 1.48904i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 9.57562 | + | 4.61138i | 0.497813 | + | 0.239734i | ||||
\(371\) | 0.298537 | + | 1.05269i | 0.0154993 | + | 0.0546529i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.95573 | 0.308376 | 0.154188 | − | 0.988042i | \(-0.450724\pi\) | ||||
0.154188 | + | 0.988042i | \(0.450724\pi\) | |||||||
\(374\) | 58.8301 | 3.04203 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.10686 | + | 7.65776i | 0.314937 | + | 0.394919i | ||||
\(377\) | −0.648225 | − | 2.84006i | −0.0333853 | − | 0.146270i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3.06768 | − | 13.4404i | 0.157576 | − | 0.690386i | −0.832983 | − | 0.553299i | \(-0.813369\pi\) |
0.990559 | − | 0.137087i | \(-0.0437740\pi\) | |||||||
\(380\) | 6.01100 | − | 2.89474i | 0.308358 | − | 0.148497i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.8170 | − | 13.5641i | −0.553447 | − | 0.694001i | ||||
\(383\) | −3.36466 | − | 14.7415i | −0.171926 | − | 0.753258i | −0.985205 | − | 0.171383i | \(-0.945177\pi\) |
0.813278 | − | 0.581875i | \(-0.197681\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.31673 | − | 7.55913i | 0.0671066 | − | 0.385249i | ||||
\(386\) | −0.443763 | − | 0.556461i | −0.0225869 | − | 0.0283231i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −7.22267 | − | 3.47825i | −0.366675 | − | 0.176582i | ||||
\(389\) | −12.3222 | + | 15.4515i | −0.624760 | + | 0.783424i | −0.989005 | − | 0.147879i | \(-0.952755\pi\) |
0.364246 | + | 0.931303i | \(0.381327\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −39.2571 | −1.98532 | ||||||||
\(392\) | −4.28951 | − | 4.36149i | −0.216653 | − | 0.220289i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −8.66597 | + | 37.9681i | −0.436585 | + | 1.91281i | ||||
\(395\) | −0.158466 | + | 0.198710i | −0.00797330 | + | 0.00999820i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.64310 | − | 2.06038i | 0.0824649 | − | 0.103408i | −0.738888 | − | 0.673829i | \(-0.764649\pi\) |
0.821352 | + | 0.570421i | \(0.193220\pi\) | |||||||
\(398\) | −20.7505 | − | 26.0203i | −1.04013 | − | 1.30428i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 13.6872 | − | 17.1633i | 0.684362 | − | 0.858163i | ||||
\(401\) | 3.22570 | + | 14.1327i | 0.161084 | + | 0.705754i | 0.989367 | + | 0.145444i | \(0.0464610\pi\) |
−0.828283 | + | 0.560310i | \(0.810682\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.49717 | + | 10.9408i | −0.124393 | + | 0.545001i | ||||
\(404\) | 11.1875 | − | 5.38760i | 0.556597 | − | 0.268043i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.15246 | + | 4.40405i | −0.156454 | + | 0.218569i | ||||
\(407\) | 10.6457 | + | 46.6419i | 0.527688 | + | 2.31195i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.23464 | − | 4.44717i | 0.456624 | − | 0.219898i | −0.191410 | − | 0.981510i | \(-0.561306\pi\) |
0.648034 | + | 0.761612i | \(0.275592\pi\) | |||||||
\(410\) | −7.65429 | −0.378019 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 4.73501 | − | 2.28026i | 0.233277 | − | 0.112340i | ||||
\(413\) | −2.97384 | + | 17.0724i | −0.146333 | + | 0.840076i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.22042 | + | 1.06930i | 0.108996 | + | 0.0524898i | ||||
\(416\) | 4.23598 | + | 18.5590i | 0.207686 | + | 0.909931i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 62.3076 | + | 30.0058i | 3.04756 | + | 1.46763i | ||||
\(419\) | −13.0305 | − | 6.27517i | −0.636583 | − | 0.306562i | 0.0876149 | − | 0.996154i | \(-0.472076\pi\) |
−0.724198 | + | 0.689592i | \(0.757790\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.743425 | − | 0.358015i | 0.0362323 | − | 0.0174486i | −0.415680 | − | 0.909511i | \(-0.636456\pi\) |
0.451912 | + | 0.892062i | \(0.350742\pi\) | |||||||
\(422\) | 4.24398 | 0.206594 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.325632 | − | 0.156816i | 0.0158141 | − | 0.00761566i | ||||
\(425\) | −18.3390 | − | 22.9964i | −0.889573 | − | 1.11549i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −17.9909 | − | 7.53989i | −0.870638 | − | 0.364881i | ||||
\(428\) | 4.52819 | − | 19.8393i | 0.218878 | − | 0.958968i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.240152 | − | 1.05218i | 0.0115812 | − | 0.0507404i | ||||
\(431\) | −18.4368 | − | 23.1191i | −0.888072 | − | 1.11361i | −0.992881 | − | 0.119114i | \(-0.961995\pi\) |
0.104809 | − | 0.994492i | \(-0.466577\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14.8500 | + | 18.6213i | −0.713644 | + | 0.894881i | −0.997960 | − | 0.0638500i | \(-0.979662\pi\) |
0.284316 | + | 0.958731i | \(0.408234\pi\) | |||||||
\(434\) | 18.3028 | − | 10.0164i | 0.878564 | − | 0.480805i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 12.3104 | − | 15.4367i | 0.589560 | − | 0.739285i | ||||
\(437\) | −41.5776 | − | 20.0227i | −1.98893 | − | 0.957817i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1.33980 | − | 5.87003i | 0.0639450 | − | 0.280161i | −0.932839 | − | 0.360293i | \(-0.882677\pi\) |
0.996784 | + | 0.0801313i | \(0.0255340\pi\) | |||||||
\(440\) | −2.53444 | −0.120825 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 31.7720 | 1.51124 | ||||||||
\(443\) | 2.66998 | − | 11.6980i | 0.126855 | − | 0.555787i | −0.871056 | − | 0.491183i | \(-0.836565\pi\) |
0.997911 | − | 0.0646038i | \(-0.0205783\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.0968079 | − | 0.0466202i | −0.00458913 | − | 0.00221001i | ||||
\(446\) | −5.80637 | + | 7.28096i | −0.274940 | + | 0.344763i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 6.08292 | − | 8.49794i | 0.287391 | − | 0.401490i | ||||
\(449\) | 18.8010 | − | 23.5757i | 0.887273 | − | 1.11260i | −0.105716 | − | 0.994396i | \(-0.533713\pi\) |
0.992989 | − | 0.118209i | \(-0.0377151\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −21.4823 | − | 26.9379i | −1.01156 | − | 1.26846i | ||||
\(452\) | 5.06765 | − | 22.2028i | 0.238362 | − | 1.04433i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −12.5457 | + | 54.9663i | −0.588798 | + | 2.57969i | ||||
\(455\) | 0.711115 | − | 4.08241i | 0.0333376 | − | 0.191386i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.0104373 | − | 0.0130880i | −0.000488239 | − | 0.000612232i | 0.781587 | − | 0.623796i | \(-0.214410\pi\) |
−0.782076 | + | 0.623184i | \(0.785839\pi\) | |||||||
\(458\) | −14.6476 | + | 7.05392i | −0.684438 | + | 0.329608i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.58607 | −0.260452 | ||||||||
\(461\) | 34.0141 | − | 16.3803i | 1.58420 | − | 0.762909i | 0.585343 | − | 0.810786i | \(-0.300960\pi\) |
0.998853 | + | 0.0478771i | \(0.0152456\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.2684 | + | 7.35288i | 0.709584 | + | 0.341718i | 0.753618 | − | 0.657312i | \(-0.228307\pi\) |
−0.0440344 | + | 0.999030i | \(0.514021\pi\) | |||||||
\(464\) | 4.62365 | + | 2.22663i | 0.214648 | + | 0.103369i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.755354 | − | 3.30942i | −0.0349911 | − | 0.153306i | ||||
\(467\) | 34.1764 | + | 16.4585i | 1.58149 | + | 0.761608i | 0.998698 | − | 0.0510107i | \(-0.0162443\pi\) |
0.582796 | + | 0.812618i | \(0.301959\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.4418 | − | 15.1679i | −0.620684 | − | 0.700389i | ||||
\(470\) | 11.1139 | − | 5.35218i | 0.512647 | − | 0.246878i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 5.72405 | 0.263471 | ||||||||
\(473\) | 4.37695 | − | 2.10783i | 0.201253 | − | 0.0969181i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.69395 | − | 33.7094i | −0.353023 | − | 1.54669i | ||||
\(476\) | −17.0135 | − | 19.1983i | −0.779813 | − | 0.879952i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 18.2884 | − | 8.80722i | 0.836491 | − | 0.402833i | ||||
\(479\) | 1.75901 | − | 7.70672i | 0.0803711 | − | 0.352129i | −0.918713 | − | 0.394927i | \(-0.870770\pi\) |
0.999084 | + | 0.0427978i | \(0.0136271\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.74935 | + | 25.1896i | 0.262148 | + | 1.14855i | ||||
\(482\) | 10.1463 | − | 12.7231i | 0.462152 | − | 0.579521i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 12.9653 | + | 16.2580i | 0.589331 | + | 0.738998i | ||||
\(485\) | 1.90582 | − | 2.38982i | 0.0865386 | − | 0.108516i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.4767 | + | 23.1691i | −0.837260 | + | 1.04989i | 0.160760 | + | 0.986993i | \(0.448605\pi\) |
−0.998020 | + | 0.0628969i | \(0.979966\pi\) | |||||||
\(488\) | −1.43377 | + | 6.28176i | −0.0649037 | + | 0.284362i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.55733 | + | 4.04454i | −0.296230 | + | 0.182714i | ||||
\(491\) | −14.2486 | −0.643030 | −0.321515 | − | 0.946904i | \(-0.604192\pi\) | ||||
−0.321515 | + | 0.946904i | \(0.604192\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 4.28711 | − | 5.37587i | 0.193082 | − | 0.242117i | ||||
\(494\) | 33.6500 | + | 16.2050i | 1.51399 | + | 0.729098i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.3261 | − | 15.4565i | −0.553460 | − | 0.694017i | ||||
\(497\) | 6.34119 | + | 22.3600i | 0.284441 | + | 1.00298i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −0.00130371 | − | 0.00571193i | −5.83621e−5 | − | 0.000255701i | 0.974899 | − | 0.222649i | \(-0.0714703\pi\) |
−0.974957 | + | 0.222393i | \(0.928613\pi\) | |||||||
\(500\) | −5.41107 | − | 6.78527i | −0.241991 | − | 0.303447i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 25.7960 | − | 12.4227i | 1.15133 | − | 0.554452i | ||||
\(503\) | −0.706576 | + | 3.09571i | −0.0315047 | + | 0.138031i | −0.988234 | − | 0.152947i | \(-0.951124\pi\) |
0.956730 | + | 0.290978i | \(0.0939807\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.05355 | + | 4.61591i | 0.0468824 | + | 0.205405i | ||||
\(506\) | −36.1019 | − | 45.2703i | −1.60492 | − | 2.01251i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 26.2459 | 1.16448 | ||||||||
\(509\) | −10.2099 | −0.452544 | −0.226272 | − | 0.974064i | \(-0.572654\pi\) | ||||
−0.226272 | + | 0.974064i | \(0.572654\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.0413 | − | 18.2189i | 0.576913 | − | 0.805957i | ||||
\(512\) | −22.7917 | − | 10.9759i | −1.00726 | − | 0.485071i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0.250006 | + | 1.09535i | 0.0110273 | + | 0.0483138i | ||||
\(515\) | 0.445908 | + | 1.95365i | 0.0196491 | + | 0.0860882i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 50.0280 | + | 24.0922i | 2.20023 | + | 1.05958i | ||||
\(518\) | 27.9604 | − | 39.0612i | 1.22851 | − | 1.71625i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.36876 | −0.0600240 | ||||||||
\(521\) | 18.4127 | 0.806674 | 0.403337 | − | 0.915052i | \(-0.367850\pi\) | ||||
0.403337 | + | 0.915052i | \(0.367850\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −27.6293 | − | 34.6461i | −1.20815 | − | 1.51497i | −0.797667 | − | 0.603098i | \(-0.793933\pi\) |
−0.410480 | − | 0.911870i | \(-0.634639\pi\) | |||||||
\(524\) | 3.99168 | + | 17.4887i | 0.174377 | + | 0.763998i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.05834 | + | 17.7807i | −0.176952 | + | 0.775277i | ||||
\(527\) | −23.8654 | + | 11.4930i | −1.03959 | + | 0.500641i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.75038 | + | 12.2266i | 0.423930 | + | 0.531591i | ||||
\(530\) | −0.101288 | − | 0.443770i | −0.00439966 | − | 0.0192762i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −8.22729 | − | 29.0107i | −0.356698 | − | 1.25777i | ||||
\(533\) | −11.6018 | − | 14.5482i | −0.502530 | − | 0.630152i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.99080 | + | 3.36659i | 0.302239 | + | 0.145550i | ||||
\(536\) | −4.17384 | + | 5.23383i | −0.180283 | + | 0.226067i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −37.3309 | −1.60945 | ||||||||
\(539\) | −32.6376 | − | 11.7261i | −1.40580 | − | 0.505079i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.76287 | + | 25.2488i | −0.247765 | + | 1.08553i | 0.685988 | + | 0.727613i | \(0.259370\pi\) |
−0.933753 | + | 0.357918i | \(0.883487\pi\) | |||||||
\(542\) | 3.33335 | − | 4.17989i | 0.143180 | − | 0.179542i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −28.0151 | + | 35.1299i | −1.20114 | + | 1.50618i | ||||
\(545\) | 4.69391 | + | 5.88597i | 0.201065 | + | 0.252127i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 20.4016 | − | 25.5828i | 0.872310 | − | 1.09384i | −0.122538 | − | 0.992464i | \(-0.539103\pi\) |
0.994848 | − | 0.101379i | \(-0.0323254\pi\) | |||||||
\(548\) | 2.84505 | + | 12.4650i | 0.121535 | + | 0.532477i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 9.65384 | − | 42.2962i | 0.411641 | − | 1.80352i | ||||
\(551\) | 7.28244 | − | 3.50704i | 0.310242 | − | 0.149405i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.761897 | + | 0.859735i | 0.0323991 | + | 0.0365596i | ||||
\(554\) | 4.56763 | + | 20.0121i | 0.194060 | + | 0.850233i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −26.5161 | + | 12.7695i | −1.12453 | + | 0.541546i | ||||
\(557\) | −18.8113 | −0.797061 | −0.398531 | − | 0.917155i | \(-0.630480\pi\) | ||||
−0.398531 | + | 0.917155i | \(0.630480\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.36383 | − | 1.13836i | 0.0999794 | − | 0.0481476i | ||||
\(560\) | 4.84170 | + | 5.46344i | 0.204599 | + | 0.230872i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −47.2533 | − | 22.7560i | −1.99326 | − | 0.959903i | ||||
\(563\) | 8.94916 | + | 39.2088i | 0.377162 | + | 1.65246i | 0.706106 | + | 0.708106i | \(0.250450\pi\) |
−0.328944 | + | 0.944349i | \(0.606693\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.82365 | + | 3.76767i | 0.329143 | + | 0.158507i | ||||
\(566\) | 11.0374 | + | 5.31531i | 0.463934 | + | 0.223419i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 6.91670 | − | 3.33091i | 0.290218 | − | 0.139762i | ||||
\(569\) | 18.1169 | 0.759501 | 0.379751 | − | 0.925089i | \(-0.376010\pi\) | ||||
0.379751 | + | 0.925089i | \(0.376010\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 26.3563 | − | 12.6925i | 1.10298 | − | 0.531165i | 0.208383 | − | 0.978047i | \(-0.433180\pi\) |
0.894593 | + | 0.446882i | \(0.147466\pi\) | |||||||
\(572\) | 12.6884 | + | 15.9108i | 0.530529 | + | 0.665263i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.93686 | + | 34.0827i | −0.247800 | + | 1.42258i | ||||
\(575\) | −6.44197 | + | 28.2241i | −0.268649 | + | 1.17703i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.11261 | + | 22.3998i | −0.212841 | + | 0.932516i | 0.749785 | + | 0.661681i | \(0.230157\pi\) |
−0.962626 | + | 0.270834i | \(0.912700\pi\) | |||||||
\(578\) | 26.8288 | + | 33.6423i | 1.11593 | + | 1.39933i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.610032 | − | 0.764956i | 0.0253302 | − | 0.0317631i | ||||
\(581\) | 6.48354 | − | 9.05761i | 0.268982 | − | 0.375773i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.27750 | − | 1.60194i | 0.0529087 | − | 0.0663454i | ||||
\(584\) | −6.66780 | − | 3.21105i | −0.275916 | − | 0.132874i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.93155 | + | 8.46266i | −0.0797915 | + | 0.349589i | ||||
\(587\) | −12.2671 | −0.506318 | −0.253159 | − | 0.967425i | \(-0.581470\pi\) | ||||
−0.253159 | + | 0.967425i | \(0.581470\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −31.1379 | −1.28302 | ||||||||
\(590\) | 1.60414 | − | 7.02822i | 0.0660416 | − | 0.289347i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −41.0089 | − | 19.7489i | −1.68546 | − | 0.811673i | ||||
\(593\) | 20.4831 | − | 25.6850i | 0.841139 | − | 1.05475i | −0.156608 | − | 0.987661i | \(-0.550056\pi\) |
0.997747 | − | 0.0670940i | \(-0.0213727\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.58026 | − | 4.69565i | 0.351756 | − | 0.192503i | ||||
\(596\) | −6.36143 | + | 7.97699i | −0.260575 | + | 0.326750i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −19.4973 | − | 24.4488i | −0.797304 | − | 0.999787i | ||||
\(599\) | 3.36603 | − | 14.7475i | 0.137532 | − | 0.602568i | −0.858441 | − | 0.512913i | \(-0.828566\pi\) |
0.995973 | − | 0.0896552i | \(-0.0285765\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.71500 | + | 20.6578i | −0.192329 | + | 0.842648i | 0.783023 | + | 0.621993i | \(0.213677\pi\) |
−0.975352 | + | 0.220655i | \(0.929181\pi\) | |||||||
\(602\) | −4.49881 | − | 1.88543i | −0.183358 | − | 0.0768445i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.26101 | + | 6.59709i | 0.214067 | + | 0.268432i | ||||
\(605\) | −7.14375 | + | 3.44025i | −0.290435 | + | 0.139866i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.3661 | 0.664278 | 0.332139 | − | 0.943230i | \(-0.392230\pi\) | ||||
0.332139 | + | 0.943230i | \(0.392230\pi\) | |||||||
\(608\) | −47.5888 | + | 22.9176i | −1.92998 | + | 0.929430i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.31118 | + | 3.52088i | 0.296021 | + | 0.142556i | ||||
\(611\) | 27.0183 | + | 13.0113i | 1.09304 | + | 0.526382i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.48613 | − | 10.8925i | −0.100414 | − | 0.439942i | −0.999995 | − | 0.00318830i | \(-0.998985\pi\) |
0.899581 | − | 0.436754i | \(-0.143872\pi\) | |||||||
\(614\) | −20.5674 | − | 9.90475i | −0.830033 | − | 0.399723i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.96578 | + | 11.2852i | −0.0792033 | + | 0.454695i | ||||
\(617\) | −10.7960 | + | 5.19906i | −0.434629 | + | 0.209306i | −0.638388 | − | 0.769715i | \(-0.720398\pi\) |
0.203759 | + | 0.979021i | \(0.434684\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −38.2528 | −1.53751 | −0.768756 | − | 0.639542i | \(-0.779124\pi\) | ||||
−0.768756 | + | 0.639542i | \(0.779124\pi\) | |||||||
\(620\) | −3.39591 | + | 1.63538i | −0.136383 | + | 0.0656785i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.9154 | − | 56.5861i | −0.517861 | − | 2.26890i | ||||
\(623\) | −0.282675 | + | 0.394902i | −0.0113251 | + | 0.0158214i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −17.9992 | + | 8.66794i | −0.719966 | + | 0.346717i | ||||
\(626\) | 14.7598 | − | 64.6670i | 0.589921 | − | 2.58461i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 3.05542 | + | 13.3867i | 0.121924 | + | 0.534186i | ||||
\(629\) | −38.0240 | + | 47.6806i | −1.51612 | + | 1.90115i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 11.5784 | + | 14.5188i | 0.460928 | + | 0.577986i | 0.956924 | − | 0.290339i | \(-0.0937681\pi\) |
−0.495995 | + | 0.868325i | \(0.665197\pi\) | |||||||
\(632\) | 0.236578 | − | 0.296660i | 0.00941058 | − | 0.0118005i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 26.1113 | − | 32.7425i | 1.03701 | − | 1.30037i | ||||
\(635\) | −2.22688 | + | 9.75659i | −0.0883710 | + | 0.387179i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −17.6264 | − | 6.33284i | −0.698383 | − | 0.250916i | ||||
\(638\) | 10.1419 | 0.401520 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 2.48273 | − | 3.11324i | 0.0981383 | − | 0.123062i | ||||
\(641\) | 26.4953 | + | 12.7595i | 1.04650 | + | 0.503968i | 0.876463 | − | 0.481469i | \(-0.159897\pi\) |
0.170038 | + | 0.985438i | \(0.445611\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.981532 | + | 1.23080i | 0.0387079 | + | 0.0485381i | 0.800809 | − | 0.598920i | \(-0.204403\pi\) |
−0.762101 | + | 0.647458i | \(0.775832\pi\) | |||||||
\(644\) | −4.33269 | + | 24.8734i | −0.170732 | + | 0.980147i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 19.6168 | + | 85.9466i | 0.771811 | + | 3.38153i | ||||
\(647\) | −11.9418 | − | 14.9745i | −0.469480 | − | 0.588710i | 0.489563 | − | 0.871968i | \(-0.337156\pi\) |
−0.959044 | + | 0.283258i | \(0.908585\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.2367 | − | 14.0797i | 1.14764 | − | 0.552675i | ||||
\(650\) | 5.21368 | − | 22.8426i | 0.204497 | − | 0.895962i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.14598 | − | 13.7834i | −0.123206 | − | 0.539801i | ||||
\(653\) | 11.0850 | + | 13.9002i | 0.433791 | + | 0.543957i | 0.949895 | − | 0.312569i | \(-0.101190\pi\) |
−0.516104 | + | 0.856526i | \(0.672618\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −6.83988 | −0.267256 | ||||||||
\(656\) | 32.7806 | 1.27987 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −15.2117 | − | 53.6388i | −0.593013 | − | 2.09106i | ||||
\(659\) | −39.2461 | − | 18.8999i | −1.52881 | − | 0.736236i | −0.534743 | − | 0.845015i | \(-0.679592\pi\) |
−0.994066 | + | 0.108779i | \(0.965306\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.99292 | − | 21.8754i | −0.194202 | − | 0.850854i | −0.974310 | − | 0.225210i | \(-0.927693\pi\) |
0.780108 | − | 0.625644i | \(-0.215164\pi\) | |||||||
\(662\) | 6.80755 | + | 29.8258i | 0.264583 | + | 1.15921i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −3.31493 | − | 1.59638i | −0.128644 | − | 0.0619517i | ||||
\(665\) | 11.4824 | − | 0.596930i | 0.445269 | − | 0.0231479i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.76763 | −0.262044 | ||||||||
\(668\) | −18.9858 | −0.734583 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.25660 | + | 6.59157i | 0.203080 | + | 0.254655i | ||||
\(671\) | 8.12820 | + | 35.6120i | 0.313786 | + | 1.37479i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.57481 | + | 11.2810i | −0.0992515 | + | 0.434849i | 0.900748 | + | 0.434341i | \(0.143019\pi\) |
−1.00000 | 0.000507846i | \(0.999838\pi\) | ||||||||
\(674\) | 3.48802 | − | 1.67974i | 0.134354 | − | 0.0647013i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.59086 | − | 7.01071i | −0.215033 | − | 0.269643i | ||||
\(677\) | −2.87718 | − | 12.6057i | −0.110579 | − | 0.484478i | −0.999644 | − | 0.0266965i | \(-0.991501\pi\) |
0.889065 | − | 0.457782i | \(-0.151356\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −9.16306 | − | 10.3397i | −0.351646 | − | 0.396802i | ||||
\(680\) | −2.01436 | − | 2.52592i | −0.0772471 | − | 0.0968648i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −35.2006 | − | 16.9517i | −1.34790 | − | 0.649115i | ||||
\(683\) | −7.41818 | + | 9.30211i | −0.283849 | + | 0.355935i | −0.903231 | − | 0.429154i | \(-0.858812\pi\) |
0.619382 | + | 0.785090i | \(0.287383\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.87509 | −0.186268 | ||||||||
\(686\) | 12.9233 | + | 32.3352i | 0.493413 | + | 1.23456i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.02849 | + | 4.50609i | −0.0392106 | + | 0.171793i | ||||
\(689\) | 0.689931 | − | 0.865147i | 0.0262843 | − | 0.0329595i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.6603 | + | 14.6216i | −0.443580 | + | 0.556232i | −0.952483 | − | 0.304592i | \(-0.901480\pi\) |
0.508903 | + | 0.860824i | \(0.330051\pi\) | |||||||
\(692\) | 0.610940 | + | 0.766094i | 0.0232244 | + | 0.0291225i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 16.0970 | − | 20.1851i | 0.611035 | − | 0.766214i | ||||
\(695\) | −2.49709 | − | 10.9405i | −0.0947200 | − | 0.414995i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.77344 | − | 42.8202i | 0.370195 | − | 1.62193i | ||||
\(698\) | −14.9413 | + | 7.19537i | −0.565538 | + | 0.272349i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −16.5946 | + | 9.08158i | −0.627216 | + | 0.343252i | ||||
\(701\) | −6.95061 | − | 30.4526i | −0.262521 | − | 1.15018i | −0.918507 | − | 0.395406i | \(-0.870604\pi\) |
0.655986 | − | 0.754773i | \(-0.272253\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −64.5907 | + | 31.1053i | −2.43609 | + | 1.17316i | ||||
\(704\) | −19.5695 | −0.737552 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −43.4414 | + | 20.9203i | −1.63494 | + | 0.787345i | ||||
\(707\) | 21.3707 | − | 1.11098i | 0.803727 | − | 0.0417829i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −8.33896 | − | 4.01583i | −0.313176 | − | 0.150818i | 0.270692 | − | 0.962666i | \(-0.412747\pi\) |
−0.583869 | + | 0.811848i | \(0.698462\pi\) | |||||||
\(710\) | −2.15144 | − | 9.42607i | −0.0807421 | − | 0.353754i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.144527 | + | 0.0696006i | 0.00541638 | + | 0.00260839i | ||||
\(713\) | 23.4892 | + | 11.3118i | 0.879679 | + | 0.423631i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.99119 | + | 3.36678i | −0.261456 | + | 0.125910i | ||||
\(716\) | 13.6217 | 0.509068 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −30.4373 | + | 14.6578i | −1.13591 | + | 0.547025i | ||||
\(719\) | −11.4243 | − | 14.3256i | −0.426055 | − | 0.534256i | 0.521754 | − | 0.853096i | \(-0.325278\pi\) |
−0.947808 | + | 0.318841i | \(0.896707\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.04498 | − | 0.470216i | 0.336853 | − | 0.0175118i | ||||
\(722\) | −15.1106 | + | 66.2040i | −0.562359 | + | 2.46386i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.11305 | − | 22.4018i | 0.190025 | − | 0.832555i | ||||
\(725\) | −3.16151 | − | 3.96441i | −0.117415 | − | 0.147234i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.18507 | + | 5.24791i | −0.155215 | + | 0.194634i | −0.853359 | − | 0.521324i | \(-0.825438\pi\) |
0.698143 | + | 0.715958i | \(0.254010\pi\) | |||||||
\(728\) | −1.06164 | + | 6.09473i | −0.0393471 | + | 0.225886i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −5.81127 | + | 7.28711i | −0.215085 | + | 0.269708i | ||||
\(731\) | 5.57952 | + | 2.68696i | 0.206366 | + | 0.0993807i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.95208 | − | 30.4590i | 0.256781 | − | 1.12503i | −0.667889 | − | 0.744261i | \(-0.732802\pi\) |
0.924670 | − | 0.380769i | \(-0.124341\pi\) | |||||||
\(734\) | −23.4861 | −0.866888 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 44.2246 | 1.63014 | ||||||||
\(737\) | −8.44487 | + | 36.9994i | −0.311071 | + | 1.36289i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 12.5936 | + | 6.06476i | 0.463263 | + | 0.223096i | 0.650931 | − | 0.759137i | \(-0.274379\pi\) |
−0.187668 | + | 0.982233i | \(0.560093\pi\) | |||||||
\(740\) | −5.41061 | + | 6.78468i | −0.198898 | + | 0.249410i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.05456 | + | 0.106809i | −0.0754253 | + | 0.00392109i | ||||
\(743\) | −1.36708 | + | 1.71426i | −0.0501533 | + | 0.0628902i | −0.806276 | − | 0.591540i | \(-0.798520\pi\) |
0.756122 | + | 0.654430i | \(0.227092\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.42560 | − | 3.04160i | −0.0888670 | − | 0.111436i | ||||
\(746\) | −2.49180 | + | 10.9173i | −0.0912313 | + | 0.399710i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10.6888 | + | 46.8308i | −0.390822 | + | 1.71230i | ||||
\(749\) | 20.4128 | − | 28.5171i | 0.745869 | − | 1.04199i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.8734 | + | 18.6506i | 0.542737 | + | 0.680571i | 0.975262 | − | 0.221051i | \(-0.0709488\pi\) |
−0.432525 | + | 0.901622i | \(0.642377\pi\) | |||||||
\(752\) | −47.5969 | + | 22.9215i | −1.73568 | + | 0.835859i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 5.47724 | 0.199469 | ||||||||
\(755\) | −2.89876 | + | 1.39597i | −0.105497 | + | 0.0508046i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.3681 | − | 12.2166i | −0.922018 | − | 0.444021i | −0.0882269 | − | 0.996100i | \(-0.528120\pi\) |
−0.833791 | + | 0.552080i | \(0.813834\pi\) | |||||||
\(758\) | 23.3537 | + | 11.2466i | 0.848245 | + | 0.408493i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.845103 | − | 3.70264i | −0.0306551 | − | 0.134309i | ||||
\(761\) | 6.36896 | + | 3.06713i | 0.230875 | + | 0.111183i | 0.545745 | − | 0.837951i | \(-0.316247\pi\) |
−0.314870 | + | 0.949135i | \(0.601961\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 29.8495 | − | 16.3355i | 1.08062 | − | 0.591384i | ||||
\(764\) | 12.7628 | − | 6.14626i | 0.461743 | − | 0.222364i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 28.4301 | 1.02722 | ||||||||
\(767\) | 15.7897 | − | 7.60391i | 0.570132 | − | 0.274561i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.54026 | + | 37.4173i | 0.307970 | + | 1.34930i | 0.857781 | + | 0.514015i | \(0.171842\pi\) |
−0.549812 | + | 0.835289i | \(0.685300\pi\) | |||||||
\(770\) | 13.3055 | + | 5.57630i | 0.479498 | + | 0.200956i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.523589 | − | 0.252147i | 0.0188444 | − | 0.00907497i | ||||
\(773\) | 7.47824 | − | 32.7643i | 0.268974 | − | 1.17845i | −0.642236 | − | 0.766507i | \(-0.721993\pi\) |
0.911209 | − | 0.411943i | \(-0.135150\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 4.34669 | + | 19.0441i | 0.156138 | + | 0.684084i | ||||
\(776\) | −2.84524 | + | 3.56782i | −0.102138 | + | 0.128077i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −23.1683 | − | 29.0522i | −0.830625 | − | 1.04157i | ||||
\(779\) | 32.1912 | − | 40.3665i | 1.15337 | − | 1.44628i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 27.1353 | − | 34.0265i | 0.970976 | − | 1.21756i | ||||
\(782\) | 16.4247 | − | 71.9612i | 0.587345 | − | 2.57333i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 28.0827 | − | 17.3213i | 1.00295 | − | 0.618617i | ||||
\(785\) | −5.23556 | −0.186865 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.6861 | − | 15.9079i | 0.452212 | − | 0.567056i | −0.502504 | − | 0.864575i | \(-0.667588\pi\) |
0.954716 | + | 0.297519i | \(0.0961591\pi\) | |||||||
\(788\) | −28.6494 | − | 13.7968i | −1.02059 | − | 0.491491i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.297950 | − | 0.373618i | −0.0106006 | − | 0.0132927i | ||||
\(791\) | 22.8447 | − | 31.9144i | 0.812265 | − | 1.13475i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.38974 | + | 19.2327i | 0.155884 | + | 0.682974i | ||||
\(794\) | 3.08938 | + | 3.87396i | 0.109638 | + | 0.137482i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 24.4832 | − | 11.7905i | 0.867783 | − | 0.417902i | ||||
\(797\) | 5.93747 | − | 26.0138i | 0.210316 | − | 0.921455i | −0.754036 | − | 0.656833i | \(-0.771896\pi\) |
0.964352 | − | 0.264622i | \(-0.0852472\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 15.7507 | + | 69.0083i | 0.557220 | + | 2.44134i | ||||
\(800\) | 20.6596 | + | 25.9063i | 0.730427 | + | 0.915927i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −27.2559 | −0.962439 | ||||||||
\(803\) | −41.9554 | −1.48058 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −8.87874 | − | 3.72104i | −0.312934 | − | 0.131150i | ||||
\(806\) | −19.0105 | − | 9.15500i | −0.669618 | − | 0.322471i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.57288 | − | 6.89122i | −0.0553336 | − | 0.242432i | ||||
\(809\) | 3.61523 | + | 15.8394i | 0.127105 | + | 0.556883i | 0.997873 | + | 0.0651889i | \(0.0207650\pi\) |
−0.870768 | + | 0.491694i | \(0.836378\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 10.7645 | + | 5.18392i | 0.377994 | + | 0.182032i | 0.613227 | − | 0.789907i | \(-0.289871\pi\) |
−0.235233 | + | 0.971939i | \(0.575585\pi\) | |||||||
\(812\) | −2.93300 | − | 3.30964i | −0.102928 | − | 0.116146i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −89.9520 | −3.15282 | ||||||||
\(815\) | 5.39074 | 0.188829 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.53888 | + | 5.69157i | 0.158795 | + | 0.199123i | ||||
\(818\) | 4.28833 | + | 18.7884i | 0.149938 | + | 0.656922i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.39071 | − | 6.09308i | 0.0485655 | − | 0.212780i | ||||
\(821\) | 25.7405 | − | 12.3960i | 0.898349 | − | 0.432622i | 0.0730569 | − | 0.997328i | \(-0.476725\pi\) |
0.825292 | + | 0.564706i | \(0.191010\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 13.6348 | + | 17.0975i | 0.475281 | + | 0.595983i | 0.960455 | − | 0.278434i | \(-0.0898154\pi\) |
−0.485175 | + | 0.874417i | \(0.661244\pi\) | |||||||
\(824\) | −0.665708 | − | 2.91666i | −0.0231910 | − | 0.101607i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −30.0507 | − | 12.5941i | −1.04560 | − | 0.438205i | ||||
\(827\) | −4.84209 | − | 6.07179i | −0.168376 | − | 0.211137i | 0.690483 | − | 0.723348i | \(-0.257398\pi\) |
−0.858859 | + | 0.512211i | \(0.828826\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 7.12896 | + | 3.43313i | 0.247599 | + | 0.119237i | 0.553568 | − | 0.832804i | \(-0.313266\pi\) |
−0.305969 | + | 0.952042i | \(0.598980\pi\) | |||||||
\(830\) | −2.88910 | + | 3.62282i | −0.100282 | + | 0.125750i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −10.5688 | −0.366406 | ||||||||
\(833\) | −14.2535 | − | 41.8478i | −0.493854 | − | 1.44994i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.61088 | − | 7.05773i | 0.0557468 | − | 0.244243i | ||||
\(836\) | −35.2062 | + | 44.1472i | −1.21763 | + | 1.52686i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 16.9547 | − | 21.2605i | 0.585689 | − | 0.734431i | ||||
\(839\) | −4.39444 | − | 5.51045i | −0.151713 | − | 0.190242i | 0.700167 | − | 0.713979i | \(-0.253109\pi\) |
−0.851880 | + | 0.523737i | \(0.824537\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.3421 | + | 21.7464i | −0.598005 | + | 0.749874i | ||||
\(842\) | 0.345228 | + | 1.51254i | 0.0118973 | + | 0.0521256i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.771087 | + | 3.37835i | −0.0265419 | + | 0.116288i | ||||
\(845\) | 3.08051 | − | 1.48349i | 0.105973 | − | 0.0510338i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 9.77769 | + | 34.4777i | 0.335965 | + | 1.18467i | ||||
\(848\) | 0.433778 | + | 1.90051i | 0.0148960 | + | 0.0652637i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 49.8269 | − | 23.9954i | 1.70905 | − | 0.823035i | ||||
\(851\) | 60.0246 | 2.05762 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0.688830 | − | 0.331723i | 0.0235851 | − | 0.0113580i | −0.422054 | − | 0.906571i | \(-0.638691\pi\) |
0.445639 | + | 0.895213i | \(0.352976\pi\) | |||||||
\(854\) | 21.3483 | − | 29.8240i | 0.730524 | − | 1.02055i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.4368 | − | 5.02607i | −0.356721 | − | 0.171788i | ||||
\(857\) | −11.0284 | − | 48.3187i | −0.376724 | − | 1.65053i | −0.707417 | − | 0.706797i | \(-0.750140\pi\) |
0.330693 | − | 0.943738i | \(-0.392718\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.51644 | − | 1.69343i | −0.119980 | − | 0.0577791i | 0.372931 | − | 0.927859i | \(-0.378353\pi\) |
−0.492911 | + | 0.870080i | \(0.664067\pi\) | |||||||
\(860\) | 0.793935 | + | 0.382339i | 0.0270730 | + | 0.0130376i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 50.0927 | − | 24.1234i | 1.70616 | − | 0.821645i | ||||
\(863\) | −0.595925 | −0.0202855 | −0.0101428 | − | 0.999949i | \(-0.503229\pi\) | ||||
−0.0101428 | + | 0.999949i | \(0.503229\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.336622 | + | 0.162108i | −0.0114455 | + | 0.00551185i | ||||
\(866\) | −27.9211 | − | 35.0120i | −0.948798 | − | 1.18975i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 4.64800 | + | 16.3896i | 0.157763 | + | 0.556298i | ||||
\(869\) | 0.478665 | − | 2.09717i | 0.0162376 | − | 0.0711415i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −4.56076 | + | 19.9820i | −0.154535 | + | 0.677064i | ||||
\(872\) | −7.00766 | − | 8.78733i | −0.237309 | − | 0.297576i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 54.0987 | − | 67.8376i | 1.82991 | − | 2.29464i | ||||
\(875\) | −4.08073 | − | 14.3893i | −0.137954 | − | 0.486446i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 35.5163 | − | 44.5360i | 1.19930 | − | 1.50388i | 0.385524 | − | 0.922698i | \(-0.374021\pi\) |
0.813777 | − | 0.581178i | \(-0.197408\pi\) | |||||||
\(878\) | 10.1996 | + | 4.91189i | 0.344221 | + | 0.165768i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3.04182 | − | 13.3271i | 0.102540 | − | 0.449255i | ||||
\(881\) | −48.3482 | −1.62889 | −0.814447 | − | 0.580238i | \(-0.802959\pi\) | ||||
−0.814447 | + | 0.580238i | \(0.802959\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 37.6511 | 1.26706 | 0.633530 | − | 0.773718i | \(-0.281605\pi\) | ||||
0.633530 | + | 0.773718i | \(0.281605\pi\) | |||||||
\(884\) | −5.77264 | + | 25.2916i | −0.194155 | + | 0.850648i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 20.3261 | + | 9.78855i | 0.682870 | + | 0.328853i | ||||
\(887\) | 33.8241 | − | 42.4141i | 1.13570 | − | 1.42412i | 0.245008 | − | 0.969521i | \(-0.421210\pi\) |
0.890694 | − | 0.454604i | \(-0.150219\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 41.7164 | + | 17.4832i | 1.39912 | + | 0.586368i | ||||
\(890\) | 0.125961 | − | 0.157951i | 0.00422224 | − | 0.00529452i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.74093 | − | 5.94494i | −0.158738 | − | 0.199051i | ||||
\(893\) | −18.5153 | + | 81.1210i | −0.619592 | + | 2.71461i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.15576 | + | 5.06371i | −0.0386327 | + | 0.169261i | ||||
\(896\) | −11.9368 | − | 13.4697i | −0.398781 | − | 0.449990i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 35.3499 | + | 44.3273i | 1.17964 | + | 1.47922i | ||||
\(899\) | −4.11421 | + | 1.98130i | −0.137216 | + | 0.0660800i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.61190 | 0.0870151 | ||||||||
\(902\) | 58.3671 | − | 28.1081i | 1.94341 | − | 0.935899i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −11.6801 | − | 5.62485i | −0.388475 | − | 0.187080i | ||||
\(905\) | 7.89374 | + | 3.80142i | 0.262397 | + | 0.126364i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.40199 | + | 14.9051i | 0.112961 | + | 0.494916i | 0.999481 | + | 0.0322244i | \(0.0102591\pi\) |
−0.886519 | + | 0.462692i | \(0.846884\pi\) | |||||||
\(908\) | −41.4756 | − | 19.9736i | −1.37642 | − | 0.662847i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 7.18583 | + | 3.01155i | 0.238208 | + | 0.0998320i | ||||
\(911\) | 24.5321 | − | 11.8140i | 0.812784 | − | 0.391416i | 0.0191539 | − | 0.999817i | \(-0.493903\pi\) |
0.793630 | + | 0.608400i | \(0.208188\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20.8583 | −0.690310 | ||||||||
\(914\) | 0.0283582 | − | 0.0136566i | 0.000938004 | − | 0.000451719i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −2.95384 | − | 12.9416i | −0.0975976 | − | 0.427603i | ||||
\(917\) | −5.30519 | + | 30.4563i | −0.175193 | + | 1.00576i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 32.2221 | − | 15.5174i | 1.06291 | − | 0.511870i | 0.181095 | − | 0.983466i | \(-0.442036\pi\) |
0.881815 | + | 0.471595i | \(0.156322\pi\) | |||||||
\(920\) | −0.707585 | + | 3.10013i | −0.0233284 | + | 0.102208i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 15.7953 | + | 69.2037i | 0.520190 | + | 2.27910i | ||||
\(923\) | 14.6547 | − | 18.3765i | 0.482367 | − | 0.604869i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.0406 | + | 35.1618i | 0.921970 | + | 1.15611i | ||||
\(926\) | −19.8665 | + | 24.9118i | −0.652853 | + | 0.818652i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.82959 | + | 6.05612i | −0.158539 | + | 0.198802i | ||||
\(929\) | 0.0370105 | − | 0.162154i | 0.00121428 | − | 0.00532009i | −0.974317 | − | 0.225180i | \(-0.927703\pi\) |
0.975531 | + | 0.219860i | \(0.0705601\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.24807 | − | 51.5913i | 0.204772 | − | 1.69084i | ||||
\(932\) | 2.77165 | 0.0907885 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −44.4686 | + | 55.7618i | −1.45506 | + | 1.82458i | ||||
\(935\) | −16.5018 | − | 7.94686i | −0.539667 | − | 0.259890i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −12.7509 | − | 15.9891i | −0.416554 | − | 0.522343i | 0.528642 | − | 0.848845i | \(-0.322701\pi\) |
−0.945196 | + | 0.326502i | \(0.894130\pi\) | |||||||
\(938\) | 33.4278 | − | 18.2937i | 1.09146 | − | 0.597312i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 2.24124 | + | 9.81950i | 0.0731011 | + | 0.320277i | ||||
\(941\) | −6.20557 | − | 7.78154i | −0.202296 | − | 0.253671i | 0.670327 | − | 0.742066i | \(-0.266154\pi\) |
−0.872623 | + | 0.488395i | \(0.837583\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −38.9482 | + | 18.7565i | −1.26833 | + | 0.610794i | ||||
\(944\) | −6.86997 | + | 30.0993i | −0.223598 | + | 0.979649i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.03255 | + | 8.90517i | 0.0660838 | + | 0.289532i | ||||
\(947\) | −14.1572 | − | 17.7525i | −0.460047 | − | 0.576880i | 0.496656 | − | 0.867948i | \(-0.334561\pi\) |
−0.956703 | + | 0.291067i | \(0.905990\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −22.6586 | −0.735529 | ||||||||
\(950\) | 65.0109 | 2.10923 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −12.8097 | + | 7.01026i | −0.415165 | + | 0.227204i | ||||
\(953\) | −28.0017 | − | 13.4849i | −0.907065 | − | 0.436820i | −0.0786297 | − | 0.996904i | \(-0.525054\pi\) |
−0.828436 | + | 0.560084i | \(0.810769\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.20191 | + | 5.26591i | 0.0388929 | + | 0.170401i | ||||
\(956\) | 3.68804 | + | 16.1583i | 0.119280 | + | 0.522598i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.3910 | + | 6.44878i | 0.432645 | + | 0.208351i | ||||
\(959\) | −3.78124 | + | 21.7075i | −0.122103 | + | 0.700973i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −13.4087 | −0.432537 | ||||||||
\(962\) | −48.5798 | −1.56627 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 8.28453 | + | 10.3885i | 0.266827 | + | 0.334590i | ||||
\(965\) | 0.0493077 | + | 0.216031i | 0.00158727 | + | 0.00695429i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.51460 | − | 37.3049i | 0.273811 | − | 1.19964i | −0.631663 | − | 0.775243i | \(-0.717627\pi\) |
0.905474 | − | 0.424402i | \(-0.139516\pi\) | |||||||
\(968\) | 10.6651 | − | 5.13604i | 0.342789 | − | 0.165078i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 3.58334 | + | 4.49337i | 0.115054 | + | 0.144273i | ||||
\(971\) | 7.74739 | + | 33.9435i | 0.248626 | + | 1.08930i | 0.932917 | + | 0.360092i | \(0.117255\pi\) |
−0.684291 | + | 0.729209i | \(0.739888\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −50.6520 | + | 2.63321i | −1.62383 | + | 0.0844169i | ||||
\(974\) | −34.7402 | − | 43.5628i | −1.11315 | − | 1.39584i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −31.3111 | − | 15.0786i | −1.00224 | − | 0.482655i | ||||
\(977\) | 4.75303 | − | 5.96011i | 0.152063 | − | 0.190681i | −0.699965 | − | 0.714177i | \(-0.746801\pi\) |
0.852028 | + | 0.523496i | \(0.175373\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.909399 | 0.0290645 | ||||||||
\(980\) | −2.02819 | − | 5.95471i | −0.0647882 | − | 0.190216i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 5.96143 | − | 26.1187i | 0.190237 | − | 0.833482i | ||||
\(983\) | 22.9342 | − | 28.7586i | 0.731488 | − | 0.917257i | −0.267439 | − | 0.963575i | \(-0.586177\pi\) |
0.998927 | + | 0.0463178i | \(0.0147487\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.55959 | − | 9.47943i | 0.240869 | − | 0.302040i | ||||
\(986\) | 8.06069 | + | 10.1078i | 0.256705 | + | 0.321897i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −19.0136 | + | 23.8423i | −0.604903 | + | 0.758524i | ||||
\(989\) | −1.35631 | − | 5.94238i | −0.0431282 | − | 0.188957i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1.48428 | − | 6.50304i | 0.0471496 | − | 0.206576i | −0.945866 | − | 0.324557i | \(-0.894785\pi\) |
0.993016 | + | 0.117981i | \(0.0376421\pi\) | |||||||
\(992\) | 26.8852 | − | 12.9472i | 0.853607 | − | 0.411075i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −43.6407 | + | 2.26872i | −1.38420 | + | 0.0719595i | ||||
\(995\) | 2.30564 | + | 10.1017i | 0.0730939 | + | 0.320245i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.5455 | + | 5.56001i | −0.365649 | + | 0.176087i | −0.607681 | − | 0.794181i | \(-0.707900\pi\) |
0.242033 | + | 0.970268i | \(0.422186\pi\) | |||||||
\(998\) | 0.0110158 | 0.000348700 | ||||||||
\(999\) | 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 | 441.2.u.e.64.3 | ✓ | 60 | |
3.2 | odd | 2 | inner | 441.2.u.e.64.8 | yes | 60 | |
49.36 | even | 7 | inner | 441.2.u.e.379.3 | yes | 60 | |
147.134 | odd | 14 | inner | 441.2.u.e.379.8 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.u.e.64.3 | ✓ | 60 | 1.1 | even | 1 | trivial | |
441.2.u.e.64.8 | yes | 60 | 3.2 | odd | 2 | inner | |
441.2.u.e.379.3 | yes | 60 | 49.36 | even | 7 | inner | |
441.2.u.e.379.8 | yes | 60 | 147.134 | odd | 14 | inner |