Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [351,2,Mod(10,351)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(351, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("351.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 351 = 3^{3} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 351.r (of order \(6\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.80274911095\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 117) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 10.4 | ||
Character | \(\chi\) | \(=\) | 351.10 |
Dual form | 351.2.r.b.316.4 |
$q$-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 \(\left(\mathbb{Z}/351\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.677814 | − | 0.391336i | −0.479287 | − | 0.276716i | 0.240832 | − | 0.970567i | \(-0.422580\pi\) |
−0.720119 | + | 0.693850i | \(0.755913\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.693712 | − | 1.20154i | −0.346856 | − | 0.600772i | ||||
\(5\) | 0.0536139 | + | 0.0309540i | 0.0239769 | + | 0.0138431i | 0.511941 | − | 0.859021i | \(-0.328927\pi\) |
−0.487964 | + | 0.872864i | \(0.662260\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.75567i | 1.41951i | 0.704449 | + | 0.709754i | \(0.251194\pi\) | ||||
−0.704449 | + | 0.709754i | \(0.748806\pi\) | |||||||
\(8\) | 2.65124i | 0.937356i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0242268 | − | 0.0419621i | −0.00766120 | − | 0.0132696i | ||||
\(11\) | 1.11071 | + | 0.641267i | 0.334891 | + | 0.193349i | 0.658010 | − | 0.753009i | \(-0.271398\pi\) |
−0.323120 | + | 0.946358i | \(0.604732\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.65180 | + | 3.20493i | 0.458127 | + | 0.888887i | ||||
\(14\) | 1.46973 | − | 2.54564i | 0.392801 | − | 0.680352i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.349898 | + | 0.606041i | −0.0874746 | + | 0.151510i | ||||
\(17\) | 2.74383 | − | 4.75245i | 0.665476 | − | 1.15264i | −0.313681 | − | 0.949529i | \(-0.601562\pi\) |
0.979156 | − | 0.203109i | \(-0.0651046\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.72231 | + | 1.57173i | 0.624540 | + | 0.360579i | 0.778635 | − | 0.627478i | \(-0.215913\pi\) |
−0.154094 | + | 0.988056i | \(0.549246\pi\) | |||||||
\(20\) | − | 0.0858927i | − | 0.0192062i | ||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.501902 | − | 0.869319i | −0.107006 | − | 0.185339i | ||||
\(23\) | 5.65979 | 1.18015 | 0.590074 | − | 0.807349i | \(-0.299099\pi\) | ||||
0.590074 | + | 0.807349i | \(0.299099\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.49808 | − | 4.32681i | −0.499617 | − | 0.865362i | ||||
\(26\) | 0.134590 | − | 2.81875i | 0.0263953 | − | 0.552803i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.51260 | − | 2.60535i | 0.852802 | − | 0.492365i | ||||
\(29\) | −3.56722 | + | 6.17860i | −0.662416 | + | 1.14734i | 0.317563 | + | 0.948237i | \(0.397135\pi\) |
−0.979979 | + | 0.199101i | \(0.936198\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.62246 | + | 2.09143i | 0.650613 | + | 0.375632i | 0.788691 | − | 0.614790i | \(-0.210759\pi\) |
−0.138078 | + | 0.990421i | \(0.544092\pi\) | |||||||
\(32\) | 5.06642 | − | 2.92510i | 0.895625 | − | 0.517089i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.71961 | + | 2.14752i | −0.637907 | + | 0.368296i | ||||
\(35\) | −0.116253 | + | 0.201356i | −0.0196503 | + | 0.0340354i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.03923 | + | 2.33205i | −0.664045 | + | 0.383386i | −0.793816 | − | 0.608158i | \(-0.791909\pi\) |
0.129772 | + | 0.991544i | \(0.458576\pi\) | |||||||
\(38\) | −1.23015 | − | 2.13067i | −0.199556 | − | 0.345641i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0820666 | + | 0.142143i | −0.0129759 | + | 0.0224749i | ||||
\(41\) | 9.88981i | 1.54453i | 0.635302 | + | 0.772264i | \(0.280876\pi\) | ||||
−0.635302 | + | 0.772264i | \(0.719124\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.22761 | 0.644704 | 0.322352 | − | 0.946620i | \(-0.395526\pi\) | ||||
0.322352 | + | 0.946620i | \(0.395526\pi\) | |||||||
\(44\) | − | 1.77942i | − | 0.268257i | ||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.83628 | − | 2.21488i | −0.565629 | − | 0.326566i | ||||
\(47\) | −2.73495 | + | 1.57902i | −0.398933 | + | 0.230324i | −0.686024 | − | 0.727579i | \(-0.740645\pi\) |
0.287090 | + | 0.957904i | \(0.407312\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −7.10504 | −1.01501 | ||||||||
\(50\) | 3.91036i | 0.553008i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.70499 | − | 4.20801i | 0.375115 | − | 0.583546i | ||||
\(53\) | 0.752963 | 0.103427 | 0.0517137 | − | 0.998662i | \(-0.483532\pi\) | ||||
0.0517137 | + | 0.998662i | \(0.483532\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.0396996 | + | 0.0687616i | 0.00535309 | + | 0.00927182i | ||||
\(56\) | −9.95718 | −1.33058 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.83582 | − | 2.79196i | 0.634974 | − | 0.366602i | ||||
\(59\) | 0.310908 | − | 0.179503i | 0.0404767 | − | 0.0233692i | −0.479625 | − | 0.877474i | \(-0.659227\pi\) |
0.520102 | + | 0.854104i | \(0.325894\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.65095 | 0.211382 | 0.105691 | − | 0.994399i | \(-0.466295\pi\) | ||||
0.105691 | + | 0.994399i | \(0.466295\pi\) | |||||||
\(62\) | −1.63690 | − | 2.83520i | −0.207887 | − | 0.360071i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.17919 | −0.397399 | ||||||||
\(65\) | −0.0106459 | + | 0.222958i | −0.00132046 | + | 0.0276546i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 1.65785i | − | 0.202539i | −0.994859 | − | 0.101269i | \(-0.967710\pi\) | ||
0.994859 | − | 0.101269i | \(-0.0322904\pi\) | |||||||
\(68\) | −7.61370 | −0.923297 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.157596 | − | 0.0909879i | 0.0188363 | − | 0.0108751i | ||||
\(71\) | −11.3838 | − | 6.57246i | −1.35101 | − | 0.780008i | −0.362622 | − | 0.931936i | \(-0.618118\pi\) |
−0.988391 | + | 0.151929i | \(0.951452\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 6.09030i | − | 0.712816i | −0.934330 | − | 0.356408i | \(-0.884001\pi\) | ||
0.934330 | − | 0.356408i | \(-0.115999\pi\) | |||||||
\(74\) | 3.65046 | 0.424357 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 4.36130i | − | 0.500276i | ||||||
\(77\) | −2.40838 | + | 4.17145i | −0.274461 | + | 0.475380i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.616191 | − | 1.06727i | −0.0693269 | − | 0.120078i | 0.829278 | − | 0.558836i | \(-0.188752\pi\) |
−0.898605 | + | 0.438758i | \(0.855418\pi\) | |||||||
\(80\) | −0.0375188 | + | 0.0216615i | −0.00419473 | + | 0.00242183i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3.87024 | − | 6.70345i | 0.427396 | − | 0.740272i | ||||
\(83\) | 11.0538 | − | 6.38193i | 1.21332 | − | 0.700508i | 0.249835 | − | 0.968288i | \(-0.419624\pi\) |
0.963480 | + | 0.267781i | \(0.0862903\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.294215 | − | 0.169865i | 0.0319120 | − | 0.0184244i | ||||
\(86\) | −2.86553 | − | 1.65442i | −0.308998 | − | 0.178400i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.70015 | + | 2.94475i | −0.181237 | + | 0.313912i | ||||
\(89\) | −1.30142 | + | 0.751374i | −0.137950 | + | 0.0796455i | −0.567387 | − | 0.823452i | \(-0.692045\pi\) |
0.429437 | + | 0.903097i | \(0.358712\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −12.0366 | + | 6.20361i | −1.26178 | + | 0.650315i | ||||
\(92\) | −3.92627 | − | 6.80049i | −0.409342 | − | 0.709000i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.47172 | 0.254938 | ||||||||
\(95\) | 0.0973024 | + | 0.168533i | 0.00998301 | + | 0.0172911i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 10.0235i | − | 1.01773i | −0.860847 | − | 0.508865i | \(-0.830065\pi\) | ||
0.860847 | − | 0.508865i | \(-0.169935\pi\) | |||||||
\(98\) | 4.81589 | + | 2.78046i | 0.486479 | + | 0.280869i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.46590 | + | 6.00312i | −0.346590 | + | 0.600312i | ||||
\(101\) | −8.60026 | + | 14.8961i | −0.855758 | + | 1.48222i | 0.0201819 | + | 0.999796i | \(0.493575\pi\) |
−0.875940 | + | 0.482420i | \(0.839758\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −8.82611 | + | 15.2873i | −0.869662 | + | 1.50630i | −0.00732055 | + | 0.999973i | \(0.502330\pi\) |
−0.862342 | + | 0.506326i | \(0.831003\pi\) | |||||||
\(104\) | −8.49704 | + | 4.37932i | −0.833203 | + | 0.429428i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.510369 | − | 0.294661i | −0.0495714 | − | 0.0286201i | ||||
\(107\) | −5.14019 | − | 8.90307i | −0.496921 | − | 0.860692i | 0.503073 | − | 0.864244i | \(-0.332203\pi\) |
−0.999994 | + | 0.00355197i | \(0.998869\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.16152i | 0.685949i | 0.939345 | + | 0.342975i | \(0.111434\pi\) | ||||
−0.939345 | + | 0.342975i | \(0.888566\pi\) | |||||||
\(110\) | − | 0.0621435i | − | 0.00592515i | ||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.27609 | − | 1.31410i | −0.215070 | − | 0.124171i | ||||
\(113\) | 1.65216 | + | 2.86162i | 0.155422 | + | 0.269199i | 0.933213 | − | 0.359325i | \(-0.116993\pi\) |
−0.777791 | + | 0.628523i | \(0.783660\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.303443 | + | 0.175193i | 0.0282963 | + | 0.0163368i | ||||
\(116\) | 9.89849 | 0.919052 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −0.280983 | −0.0258666 | ||||||||
\(119\) | 17.8486 | + | 10.3049i | 1.63618 | + | 0.944649i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.67755 | − | 8.10176i | −0.425232 | − | 0.736524i | ||||
\(122\) | −1.11903 | − | 0.646075i | −0.101313 | − | 0.0584929i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | − | 5.80340i | − | 0.521161i | ||||||
\(125\) | − | 0.618843i | − | 0.0553510i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.56802 | − | 6.18000i | −0.316611 | − | 0.548386i | 0.663168 | − | 0.748471i | \(-0.269212\pi\) |
−0.979779 | + | 0.200085i | \(0.935878\pi\) | |||||||
\(128\) | −7.97794 | − | 4.60606i | −0.705157 | − | 0.407122i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.0944676 | − | 0.146958i | 0.00828536 | − | 0.0128891i | ||||
\(131\) | 9.76000 | − | 16.9048i | 0.852735 | − | 1.47698i | −0.0259946 | − | 0.999662i | \(-0.508275\pi\) |
0.878730 | − | 0.477319i | \(-0.158391\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.90288 | + | 10.2241i | −0.511844 | + | 0.886541i | ||||
\(134\) | −0.648777 | + | 1.12372i | −0.0560458 | + | 0.0970742i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.5999 | + | 7.27455i | 1.08043 | + | 0.623787i | ||||
\(137\) | − | 8.32371i | − | 0.711143i | −0.934649 | − | 0.355571i | \(-0.884286\pi\) | ||
0.934649 | − | 0.355571i | \(-0.115714\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.91239 | − | 3.31236i | −0.162207 | − | 0.280951i | 0.773453 | − | 0.633854i | \(-0.218528\pi\) |
−0.935660 | + | 0.352903i | \(0.885195\pi\) | |||||||
\(140\) | 0.322584 | 0.0272634 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 5.14408 | + | 8.90981i | 0.431682 | + | 0.747695i | ||||
\(143\) | −0.220548 | + | 4.61898i | −0.0184431 | + | 0.386258i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.382505 | + | 0.220839i | −0.0317653 | + | 0.0183397i | ||||
\(146\) | −2.38335 | + | 4.12809i | −0.197248 | + | 0.341643i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.60412 | + | 3.23554i | 0.460656 | + | 0.265960i | ||||
\(149\) | 17.3709 | − | 10.0291i | 1.42308 | − | 0.821614i | 0.426517 | − | 0.904480i | \(-0.359740\pi\) |
0.996561 | + | 0.0828653i | \(0.0264071\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.0273 | − | 6.94396i | 0.978767 | − | 0.565092i | 0.0768696 | − | 0.997041i | \(-0.475507\pi\) |
0.901898 | + | 0.431950i | \(0.142174\pi\) | |||||||
\(152\) | −4.16702 | + | 7.21750i | −0.337990 | + | 0.585416i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.26487 | − | 1.88498i | 0.263091 | − | 0.151896i | ||||
\(155\) | 0.129476 | + | 0.224259i | 0.0103998 | + | 0.0180129i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.95334 | − | 13.7756i | 0.634746 | − | 1.09941i | −0.351823 | − | 0.936067i | \(-0.614438\pi\) |
0.986569 | − | 0.163346i | \(-0.0522286\pi\) | |||||||
\(158\) | 0.964551i | 0.0767355i | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.362174 | 0.0286324 | ||||||||
\(161\) | 21.2563i | 1.67523i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 11.4205 | + | 6.59365i | 0.894525 | + | 0.516454i | 0.875420 | − | 0.483363i | \(-0.160585\pi\) |
0.0191051 | + | 0.999817i | \(0.493918\pi\) | |||||||
\(164\) | 11.8830 | − | 6.86068i | 0.927910 | − | 0.535729i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.98991 | −0.775368 | ||||||||
\(167\) | − | 1.34960i | − | 0.104435i | −0.998636 | − | 0.0522177i | \(-0.983371\pi\) | ||
0.998636 | − | 0.0522177i | \(-0.0166290\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.54311 | + | 10.5878i | −0.580239 | + | 0.814446i | ||||
\(170\) | −0.265897 | −0.0203934 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.93274 | − | 5.07966i | −0.223620 | − | 0.387321i | ||||
\(173\) | −14.7144 | −1.11871 | −0.559356 | − | 0.828927i | \(-0.688952\pi\) | ||||
−0.559356 | + | 0.828927i | \(0.688952\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 16.2501 | − | 9.38197i | 1.22839 | − | 0.709210i | ||||
\(176\) | −0.777269 | + | 0.448756i | −0.0585888 | + | 0.0338263i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.17616 | 0.0881568 | ||||||||
\(179\) | 2.60130 | + | 4.50559i | 0.194431 | + | 0.336764i | 0.946714 | − | 0.322076i | \(-0.104381\pi\) |
−0.752283 | + | 0.658840i | \(0.771047\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.0948 | 0.750340 | 0.375170 | − | 0.926956i | \(-0.377584\pi\) | ||||
0.375170 | + | 0.926956i | \(0.377584\pi\) | |||||||
\(182\) | 10.5863 | + | 0.505476i | 0.784709 | + | 0.0374684i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 15.0055i | 1.10622i | ||||||||
\(185\) | −0.288745 | −0.0212289 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.09517 | − | 3.51905i | 0.445723 | − | 0.257338i | ||||
\(188\) | 3.79454 | + | 2.19078i | 0.276745 | + | 0.159779i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | − | 0.152312i | − | 0.0110499i | ||||||
\(191\) | 2.71789 | 0.196659 | 0.0983297 | − | 0.995154i | \(-0.468650\pi\) | ||||
0.0983297 | + | 0.995154i | \(0.468650\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.0863i | 1.37386i | 0.726723 | + | 0.686930i | \(0.241042\pi\) | ||||
−0.726723 | + | 0.686930i | \(0.758958\pi\) | |||||||
\(194\) | −3.92254 | + | 6.79405i | −0.281622 | + | 0.487784i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.92885 | + | 8.53702i | 0.352061 | + | 0.609787i | ||||
\(197\) | −1.87976 | + | 1.08528i | −0.133927 | + | 0.0773230i | −0.565467 | − | 0.824771i | \(-0.691304\pi\) |
0.431539 | + | 0.902094i | \(0.357971\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.21774 | − | 9.03739i | 0.369876 | − | 0.640644i | −0.619670 | − | 0.784862i | \(-0.712734\pi\) |
0.989546 | + | 0.144219i | \(0.0460669\pi\) | |||||||
\(200\) | 11.4714 | − | 6.62302i | 0.811152 | − | 0.468319i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.6588 | − | 6.73118i | 0.820307 | − | 0.473604i | ||||
\(203\) | −23.2048 | − | 13.3973i | −1.62866 | − | 0.940305i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.306129 | + | 0.530231i | −0.0213810 | + | 0.0370330i | ||||
\(206\) | 11.9649 | − | 6.90795i | 0.833635 | − | 0.481300i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.52028 | − | 0.120339i | −0.174750 | − | 0.00834399i | ||||
\(209\) | 2.01579 | + | 3.49145i | 0.139435 | + | 0.241509i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.386502 | 0.0266079 | 0.0133039 | − | 0.999911i | \(-0.495765\pi\) | ||||
0.0133039 | + | 0.999911i | \(0.495765\pi\) | |||||||
\(212\) | −0.522340 | − | 0.904719i | −0.0358744 | − | 0.0621363i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 8.04616i | 0.550024i | ||||||||
\(215\) | 0.226659 | + | 0.130861i | 0.0154580 | + | 0.00892467i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −7.85471 | + | 13.6048i | −0.533213 | + | 0.923551i | ||||
\(218\) | 2.80256 | − | 4.85418i | 0.189813 | − | 0.328766i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0550801 | − | 0.0954016i | 0.00371350 | − | 0.00643197i | ||||
\(221\) | 19.7635 | + | 0.943671i | 1.32944 | + | 0.0634782i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.75987 | + | 1.01606i | 0.117850 | + | 0.0680405i | 0.557766 | − | 0.829998i | \(-0.311659\pi\) |
−0.439916 | + | 0.898039i | \(0.644992\pi\) | |||||||
\(224\) | 10.9857 | + | 19.0278i | 0.734013 | + | 1.27135i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | − | 2.58620i | − | 0.172031i | ||||||
\(227\) | − | 26.3044i | − | 1.74588i | −0.487826 | − | 0.872941i | \(-0.662210\pi\) | ||
0.487826 | − | 0.872941i | \(-0.337790\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.2482 | − | 13.4224i | −1.53629 | − | 0.886976i | −0.999052 | − | 0.0435436i | \(-0.986135\pi\) |
−0.537236 | − | 0.843432i | \(-0.680531\pi\) | |||||||
\(230\) | −0.137119 | − | 0.237497i | −0.00904134 | − | 0.0156601i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −16.3810 | − | 9.45756i | −1.07546 | − | 0.620919i | ||||
\(233\) | 8.15619 | 0.534330 | 0.267165 | − | 0.963651i | \(-0.413913\pi\) | ||||
0.267165 | + | 0.963651i | \(0.413913\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.195508 | −0.0127536 | ||||||||
\(236\) | −0.431361 | − | 0.249046i | −0.0280792 | − | 0.0162115i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −8.06536 | − | 13.9696i | −0.522799 | − | 0.905515i | ||||
\(239\) | −11.8525 | − | 6.84307i | −0.766677 | − | 0.442641i | 0.0650107 | − | 0.997885i | \(-0.479292\pi\) |
−0.831688 | + | 0.555243i | \(0.812625\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.2782i | 0.855325i | 0.903938 | + | 0.427663i | \(0.140663\pi\) | ||||
−0.903938 | + | 0.427663i | \(0.859337\pi\) | |||||||
\(242\) | 7.32198i | 0.470675i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.14528 | − | 1.98369i | −0.0733192 | − | 0.126993i | ||||
\(245\) | −0.380929 | − | 0.219929i | −0.0243367 | − | 0.0140508i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.540556 | + | 11.3210i | −0.0343947 | + | 0.720336i | ||||
\(248\) | −5.54488 | + | 9.60402i | −0.352101 | + | 0.609856i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.242175 | + | 0.419460i | −0.0153165 | + | 0.0265290i | ||||
\(251\) | 2.59137 | − | 4.48838i | 0.163566 | − | 0.283304i | −0.772579 | − | 0.634918i | \(-0.781034\pi\) |
0.936145 | + | 0.351614i | \(0.114367\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.28637 | + | 3.62944i | 0.395220 | + | 0.228181i | ||||
\(254\) | 5.58518i | 0.350446i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.78423 | + | 11.7506i | 0.424014 | + | 0.734414i | ||||
\(257\) | −29.2021 | −1.82158 | −0.910789 | − | 0.412873i | \(-0.864525\pi\) | ||||
−0.910789 | + | 0.412873i | \(0.864525\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.75840 | − | 15.1700i | −0.544220 | − | 0.942617i | ||||
\(260\) | 0.275280 | − | 0.141878i | 0.0170721 | − | 0.00879887i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −13.2309 | + | 7.63888i | −0.817410 | + | 0.471932i | ||||
\(263\) | 2.71399 | − | 4.70077i | 0.167352 | − | 0.289862i | −0.770136 | − | 0.637880i | \(-0.779812\pi\) |
0.937488 | + | 0.348018i | \(0.113145\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.0403693 | + | 0.0233072i | 0.00247987 | + | 0.00143175i | ||||
\(266\) | 8.00210 | − | 4.62002i | 0.490640 | − | 0.283271i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.99198 | + | 1.15007i | −0.121680 | + | 0.0702519i | ||||
\(269\) | 6.85146 | − | 11.8671i | 0.417741 | − | 0.723549i | −0.577971 | − | 0.816057i | \(-0.696155\pi\) |
0.995712 | + | 0.0925087i | \(0.0294886\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.5946 | − | 6.11677i | 0.643573 | − | 0.371567i | −0.142416 | − | 0.989807i | \(-0.545487\pi\) |
0.785990 | + | 0.618240i | \(0.212154\pi\) | |||||||
\(272\) | 1.92012 | + | 3.32575i | 0.116424 | + | 0.201653i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.25737 | + | 5.64193i | −0.196785 | + | 0.340841i | ||||
\(275\) | − | 6.40775i | − | 0.386402i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.0400 | −0.843582 | −0.421791 | − | 0.906693i | \(-0.638598\pi\) | ||||
−0.421791 | + | 0.906693i | \(0.638598\pi\) | |||||||
\(278\) | 2.99355i | 0.179541i | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.533844 | − | 0.308215i | −0.0319033 | − | 0.0184194i | ||||
\(281\) | −18.6400 | + | 10.7618i | −1.11197 | + | 0.641997i | −0.939339 | − | 0.342990i | \(-0.888560\pi\) |
−0.172632 | + | 0.984986i | \(0.555227\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 23.1108 | 1.37379 | 0.686897 | − | 0.726755i | \(-0.258972\pi\) | ||||
0.686897 | + | 0.726755i | \(0.258972\pi\) | |||||||
\(284\) | 18.2376i | 1.08220i | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.95706 | − | 3.04450i | 0.115724 | − | 0.180025i | ||||
\(287\) | −37.1428 | −2.19247 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.55717 | − | 11.3573i | −0.385716 | − | 0.668079i | ||||
\(290\) | 0.345690 | 0.0202996 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.31777 | + | 4.22492i | −0.428240 | + | 0.247245i | ||||
\(293\) | −0.259773 | + | 0.149980i | −0.0151761 | + | 0.00876193i | −0.507569 | − | 0.861611i | \(-0.669456\pi\) |
0.492393 | + | 0.870373i | \(0.336122\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.0222253 | 0.00129401 | ||||||||
\(296\) | −6.18282 | − | 10.7090i | −0.359369 | − | 0.622446i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −15.6990 | −0.909416 | ||||||||
\(299\) | 9.34884 | + | 18.1392i | 0.540658 | + | 1.04902i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 15.8775i | 0.915163i | ||||||||
\(302\) | −10.8697 | −0.625480 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.90506 | + | 1.09989i | −0.109263 | + | 0.0630829i | ||||
\(305\) | 0.0885137 | + | 0.0511034i | 0.00506828 | + | 0.00292617i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 13.4090i | − | 0.765291i | −0.923895 | − | 0.382646i | \(-0.875013\pi\) | ||
0.923895 | − | 0.382646i | \(-0.124987\pi\) | |||||||
\(308\) | 6.68291 | 0.380794 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | − | 0.202675i | − | 0.0115112i | ||||||
\(311\) | −6.66305 | + | 11.5407i | −0.377827 | + | 0.654415i | −0.990746 | − | 0.135731i | \(-0.956662\pi\) |
0.612919 | + | 0.790146i | \(0.289995\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.54812 | − | 13.0737i | −0.426645 | − | 0.738971i | 0.569928 | − | 0.821695i | \(-0.306971\pi\) |
−0.996572 | + | 0.0827243i | \(0.973638\pi\) | |||||||
\(314\) | −10.7818 | + | 6.22486i | −0.608451 | + | 0.351289i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.854918 | + | 1.48076i | −0.0480929 | + | 0.0832994i | ||||
\(317\) | 16.1108 | − | 9.30158i | 0.904873 | − | 0.522429i | 0.0260952 | − | 0.999659i | \(-0.491693\pi\) |
0.878778 | + | 0.477231i | \(0.158359\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.92427 | + | 4.57508i | −0.443674 | + | 0.256155i | ||||
\(320\) | −0.170449 | − | 0.0984087i | −0.00952838 | − | 0.00550121i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 8.31835 | − | 14.4078i | 0.463564 | − | 0.802916i | ||||
\(323\) | 14.9391 | − | 8.62508i | 0.831233 | − | 0.479912i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.74077 | − | 15.1532i | 0.540321 | − | 0.840548i | ||||
\(326\) | −5.16066 | − | 8.93853i | −0.285823 | − | 0.495059i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −26.2203 | −1.44777 | ||||||||
\(329\) | −5.93029 | − | 10.2716i | −0.326947 | − | 0.566290i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 5.69806i | − | 0.313194i | −0.987663 | − | 0.156597i | \(-0.949948\pi\) | ||
0.987663 | − | 0.156597i | \(-0.0500524\pi\) | |||||||
\(332\) | −15.3364 | − | 8.85445i | −0.841692 | − | 0.485951i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.528149 | + | 0.914780i | −0.0288990 | + | 0.0500545i | ||||
\(335\) | 0.0513172 | − | 0.0888840i | 0.00280376 | − | 0.00485625i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 16.0839 | − | 27.8581i | 0.876146 | − | 1.51753i | 0.0206081 | − | 0.999788i | \(-0.493440\pi\) |
0.855537 | − | 0.517741i | \(-0.173227\pi\) | |||||||
\(338\) | 9.25621 | − | 4.22466i | 0.503472 | − | 0.229791i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.408200 | − | 0.235675i | −0.0221378 | − | 0.0127813i | ||||
\(341\) | 2.68233 | + | 4.64593i | 0.145256 | + | 0.251591i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 0.394490i | − | 0.0213005i | ||||||
\(344\) | 11.2084i | 0.604317i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 9.97360 | + | 5.75826i | 0.536184 | + | 0.309566i | ||||
\(347\) | 8.02447 | + | 13.8988i | 0.430776 | + | 0.746127i | 0.996940 | − | 0.0781661i | \(-0.0249065\pi\) |
−0.566164 | + | 0.824293i | \(0.691573\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.5647 | + | 13.6051i | 1.26139 | + | 0.728262i | 0.973343 | − | 0.229355i | \(-0.0736615\pi\) |
0.288045 | + | 0.957617i | \(0.406995\pi\) | |||||||
\(350\) | −14.6860 | −0.785000 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 7.50307 | 0.399915 | ||||||||
\(353\) | −4.01185 | − | 2.31624i | −0.213529 | − | 0.123281i | 0.389421 | − | 0.921060i | \(-0.372675\pi\) |
−0.602951 | + | 0.797779i | \(0.706008\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.406888 | − | 0.704751i | −0.0215954 | − | 0.0374043i | ||||
\(356\) | 1.80562 | + | 1.04248i | 0.0956977 | + | 0.0552511i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 4.07194i | − | 0.215208i | ||||||
\(359\) | 16.1406i | 0.851870i | 0.904754 | + | 0.425935i | \(0.140055\pi\) | ||||
−0.904754 | + | 0.425935i | \(0.859945\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.55936 | − | 7.89704i | −0.239966 | − | 0.415634i | ||||
\(362\) | −6.84239 | − | 3.95046i | −0.359628 | − | 0.207631i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.8039 | + | 10.1590i | 0.828349 | + | 0.532478i | ||||
\(365\) | 0.188519 | − | 0.326525i | 0.00986754 | − | 0.0170911i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.3833 | − | 17.9845i | 0.542005 | − | 0.938781i | −0.456783 | − | 0.889578i | \(-0.650999\pi\) |
0.998789 | − | 0.0492028i | \(-0.0156681\pi\) | |||||||
\(368\) | −1.98035 | + | 3.43007i | −0.103233 | + | 0.178805i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.195715 | + | 0.112996i | 0.0101748 | + | 0.00587440i | ||||
\(371\) | 2.82788i | 0.146816i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −3.03953 | − | 5.26462i | −0.157381 | − | 0.272592i | 0.776543 | − | 0.630065i | \(-0.216972\pi\) |
−0.933923 | + | 0.357473i | \(0.883638\pi\) | |||||||
\(374\) | −5.50852 | −0.284839 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −4.18638 | − | 7.25101i | −0.215896 | − | 0.373943i | ||||
\(377\) | −25.6943 | − | 1.22686i | −1.32332 | − | 0.0631863i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −13.7130 | + | 7.91718i | −0.704388 | + | 0.406678i | −0.808979 | − | 0.587837i | \(-0.799980\pi\) |
0.104592 | + | 0.994515i | \(0.466646\pi\) | |||||||
\(380\) | 0.135000 | − | 0.233826i | 0.00692534 | − | 0.0119950i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.84222 | − | 1.06361i | −0.0942563 | − | 0.0544189i | ||||
\(383\) | 12.9901 | − | 7.49986i | 0.663765 | − | 0.383225i | −0.129945 | − | 0.991521i | \(-0.541480\pi\) |
0.793710 | + | 0.608296i | \(0.208147\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.258246 | + | 0.149098i | −0.0131614 | + | 0.00759875i | ||||
\(386\) | 7.46915 | − | 12.9369i | 0.380170 | − | 0.658473i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −12.0436 | + | 6.95340i | −0.611424 | + | 0.353006i | ||||
\(389\) | −8.69825 | − | 15.0658i | −0.441019 | − | 0.763867i | 0.556747 | − | 0.830682i | \(-0.312049\pi\) |
−0.997765 | + | 0.0668155i | \(0.978716\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 15.5295 | − | 26.8979i | 0.785360 | − | 1.36028i | ||||
\(392\) | − | 18.8372i | − | 0.951421i | ||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.69884 | 0.0855861 | ||||||||
\(395\) | − | 0.0762943i | − | 0.00383878i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.89799 | − | 5.71461i | −0.496766 | − | 0.286808i | 0.230611 | − | 0.973046i | \(-0.425928\pi\) |
−0.727377 | + | 0.686238i | \(0.759261\pi\) | |||||||
\(398\) | −7.07331 | + | 4.08378i | −0.354553 | + | 0.204701i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.49630 | 0.174815 | ||||||||
\(401\) | 12.7790i | 0.638151i | 0.947729 | + | 0.319075i | \(0.103372\pi\) | ||||
−0.947729 | + | 0.319075i | \(0.896628\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.719295 | + | 15.0643i | −0.0358306 | + | 0.750409i | ||||
\(404\) | 23.8644 | 1.18730 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.4857 | + | 18.1617i | 0.520395 | + | 0.901351i | ||||
\(407\) | −5.98186 | −0.296510 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −17.1272 | + | 9.88837i | −0.846884 | + | 0.488949i | −0.859598 | − | 0.510971i | \(-0.829286\pi\) |
0.0127143 | + | 0.999919i | \(0.495953\pi\) | |||||||
\(410\) | 0.414997 | − | 0.239599i | 0.0204952 | − | 0.0118329i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 24.4911 | 1.20659 | ||||||||
\(413\) | 0.674152 | + | 1.16767i | 0.0331728 | + | 0.0574571i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.790185 | 0.0387887 | ||||||||
\(416\) | 17.7434 | + | 11.4058i | 0.869943 | + | 0.559216i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 3.15541i | − | 0.154336i | ||||||
\(419\) | −1.02767 | −0.0502051 | −0.0251025 | − | 0.999685i | \(-0.507991\pi\) | ||||
−0.0251025 | + | 0.999685i | \(0.507991\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.3455 | + | 11.1691i | −0.942843 | + | 0.544351i | −0.890850 | − | 0.454297i | \(-0.849891\pi\) |
−0.0519927 | + | 0.998647i | \(0.516557\pi\) | |||||||
\(422\) | −0.261976 | − | 0.151252i | −0.0127528 | − | 0.00736283i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.99629i | 0.0969483i | ||||||||
\(425\) | −27.4172 | −1.32993 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.20041i | 0.300059i | ||||||||
\(428\) | −7.13162 | + | 12.3523i | −0.344720 | + | 0.597073i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.102422 | − | 0.177399i | −0.00493921 | − | 0.00855496i | ||||
\(431\) | 6.38655 | − | 3.68727i | 0.307629 | − | 0.177610i | −0.338236 | − | 0.941061i | \(-0.609830\pi\) |
0.645865 | + | 0.763452i | \(0.276497\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.96921 | − | 5.14283i | 0.142691 | − | 0.247148i | −0.785818 | − | 0.618458i | \(-0.787758\pi\) |
0.928509 | + | 0.371309i | \(0.121091\pi\) | |||||||
\(434\) | 10.6481 | − | 6.14766i | 0.511123 | − | 0.295097i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.60489 | − | 4.96804i | 0.412099 | − | 0.237926i | ||||
\(437\) | 15.4077 | + | 8.89564i | 0.737050 | + | 0.425536i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.8461 | + | 20.5180i | −0.565382 | + | 0.979270i | 0.431632 | + | 0.902050i | \(0.357938\pi\) |
−0.997014 | + | 0.0772203i | \(0.975396\pi\) | |||||||
\(440\) | −0.182304 | + | 0.105253i | −0.00869099 | + | 0.00501775i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −13.0267 | − | 8.37380i | −0.619616 | − | 0.398301i | ||||
\(443\) | 19.8468 | + | 34.3756i | 0.942948 | + | 1.63323i | 0.759809 | + | 0.650146i | \(0.225292\pi\) |
0.183138 | + | 0.983087i | \(0.441374\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.0930322 | −0.00441015 | ||||||||
\(446\) | −0.795243 | − | 1.37740i | −0.0376558 | − | 0.0652218i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | − | 11.9400i | − | 0.564111i | ||||||
\(449\) | 7.64958 | + | 4.41649i | 0.361006 | + | 0.208427i | 0.669522 | − | 0.742792i | \(-0.266499\pi\) |
−0.308516 | + | 0.951219i | \(0.599832\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.34200 | + | 10.9847i | −0.298633 | + | 0.517248i | ||||
\(452\) | 2.29225 | − | 3.97028i | 0.107818 | − | 0.186746i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.2938 | + | 17.8295i | −0.483114 | + | 0.836778i | ||||
\(455\) | −0.837358 | − | 0.0399823i | −0.0392559 | − | 0.00187440i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −17.9905 | − | 10.3868i | −0.841559 | − | 0.485874i | 0.0162349 | − | 0.999868i | \(-0.494832\pi\) |
−0.857794 | + | 0.513994i | \(0.828165\pi\) | |||||||
\(458\) | 10.5053 | + | 18.1957i | 0.490881 | + | 0.850231i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 0.486135i | − | 0.0226661i | ||||||
\(461\) | 10.4811i | 0.488152i | 0.969756 | + | 0.244076i | \(0.0784847\pi\) | ||||
−0.969756 | + | 0.244076i | \(0.921515\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.5850 | − | 10.1527i | −0.817243 | − | 0.471835i | 0.0322220 | − | 0.999481i | \(-0.489742\pi\) |
−0.849465 | + | 0.527645i | \(0.823075\pi\) | |||||||
\(464\) | −2.49633 | − | 4.32376i | −0.115889 | − | 0.200726i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.52838 | − | 3.19181i | −0.256097 | − | 0.147858i | ||||
\(467\) | 14.0228 | 0.648897 | 0.324448 | − | 0.945903i | \(-0.394821\pi\) | ||||
0.324448 | + | 0.945903i | \(0.394821\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.22634 | 0.287506 | ||||||||
\(470\) | 0.132518 | + | 0.0765095i | 0.00611261 | + | 0.00352912i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.475905 | + | 0.824291i | 0.0219053 | + | 0.0379411i | ||||
\(473\) | 4.69563 | + | 2.71103i | 0.215905 | + | 0.124653i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 15.7052i | − | 0.720604i | ||||||
\(476\) | − | 28.5945i | − | 1.31063i | ||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5.35588 | + | 9.27665i | 0.244972 | + | 0.424304i | ||||
\(479\) | −8.56760 | − | 4.94650i | −0.391464 | − | 0.226012i | 0.291331 | − | 0.956622i | \(-0.405902\pi\) |
−0.682794 | + | 0.730611i | \(0.739235\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.1460 | − | 9.09335i | −0.645004 | − | 0.414621i | ||||
\(482\) | 5.19624 | − | 9.00016i | 0.236682 | − | 0.409946i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.48975 | + | 11.2406i | −0.294989 | + | 0.510936i | ||||
\(485\) | 0.310267 | − | 0.537397i | 0.0140885 | − | 0.0244020i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.6312 | + | 20.5717i | 1.61460 | + | 0.932192i | 0.988284 | + | 0.152626i | \(0.0487731\pi\) |
0.626320 | + | 0.779566i | \(0.284560\pi\) | |||||||
\(488\) | 4.37706i | 0.198140i | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.172133 | + | 0.298142i | 0.00777616 | + | 0.0134687i | ||||
\(491\) | 17.7119 | 0.799326 | 0.399663 | − | 0.916662i | \(-0.369127\pi\) | ||||
0.399663 | + | 0.916662i | \(0.369127\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.5757 | + | 33.9060i | 0.881643 | + | 1.52705i | ||||
\(494\) | 4.79670 | − | 7.46197i | 0.215814 | − | 0.335730i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.53499 | + | 1.46357i | −0.113824 | + | 0.0657164i | ||||
\(497\) | 24.6840 | − | 42.7539i | 1.10723 | − | 1.91778i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.2710 | + | 9.39408i | 0.728391 | + | 0.420537i | 0.817833 | − | 0.575455i | \(-0.195175\pi\) |
−0.0894423 | + | 0.995992i | \(0.528508\pi\) | |||||||
\(500\) | −0.743568 | + | 0.429299i | −0.0332534 | + | 0.0191988i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.51293 | + | 2.02819i | −0.156790 | + | 0.0905226i | ||||
\(503\) | 7.83131 | − | 13.5642i | 0.349181 | − | 0.604799i | −0.636923 | − | 0.770927i | \(-0.719793\pi\) |
0.986104 | + | 0.166128i | \(0.0531266\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.922187 | + | 0.532425i | −0.0410368 | + | 0.0236926i | ||||
\(506\) | −2.84066 | − | 4.92016i | −0.126283 | − | 0.218728i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.95036 | + | 8.57428i | −0.219637 | + | 0.380422i | ||||
\(509\) | − | 37.6313i | − | 1.66798i | −0.551781 | − | 0.833989i | \(-0.686052\pi\) | ||
0.551781 | − | 0.833989i | \(-0.313948\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 22.8731 | 1.01185 | ||||||||
\(512\) | 7.80461i | 0.344918i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 19.7936 | + | 11.4278i | 0.873058 | + | 0.504060i | ||||
\(515\) | −0.946405 | + | 0.546407i | −0.0417036 | + | 0.0240776i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.05030 | −0.178132 | ||||||||
\(518\) | 13.7099i | 0.602379i | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.591117 | − | 0.0282247i | −0.0259222 | − | 0.00123774i | ||||
\(521\) | −3.84164 | −0.168305 | −0.0841526 | − | 0.996453i | \(-0.526818\pi\) | ||||
−0.0841526 | + | 0.996453i | \(0.526818\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −19.6605 | − | 34.0529i | −0.859692 | − | 1.48903i | −0.872222 | − | 0.489109i | \(-0.837322\pi\) |
0.0125300 | − | 0.999921i | \(-0.496011\pi\) | |||||||
\(524\) | −27.0825 | −1.18311 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.67916 | + | 2.12417i | −0.160419 | + | 0.0926181i | ||||
\(527\) | 19.8788 | − | 11.4770i | 0.865935 | − | 0.499948i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.03323 | 0.392749 | ||||||||
\(530\) | −0.0182419 | − | 0.0315959i | −0.000792378 | − | 0.00137244i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 16.3796 | 0.710146 | ||||||||
\(533\) | −31.6961 | + | 16.3360i | −1.37291 | + | 0.707590i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 0.636438i | − | 0.0275156i | ||||||
\(536\) | 4.39537 | 0.189851 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −9.28803 | + | 5.36245i | −0.400436 | + | 0.231192i | ||||
\(539\) | −7.89161 | − | 4.55623i | −0.339916 | − | 0.196251i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 45.4115i | 1.95239i | 0.216885 | + | 0.976197i | \(0.430410\pi\) | ||||
−0.216885 | + | 0.976197i | \(0.569590\pi\) | |||||||
\(542\) | −9.57485 | −0.411275 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | − | 32.1038i | − | 1.37644i | ||||||
\(545\) | −0.221678 | + | 0.383957i | −0.00949563 | + | 0.0164469i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.70865 | + | 13.3518i | 0.329598 | + | 0.570881i | 0.982432 | − | 0.186620i | \(-0.0597534\pi\) |
−0.652834 | + | 0.757501i | \(0.726420\pi\) | |||||||
\(548\) | −10.0013 | + | 5.77426i | −0.427235 | + | 0.246664i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.50758 | + | 4.34326i | −0.106924 | + | 0.185197i | ||||
\(551\) | −19.4221 | + | 11.2134i | −0.827411 | + | 0.477706i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.00833 | − | 2.31421i | 0.170451 | − | 0.0984101i | ||||
\(554\) | 9.51650 | + | 5.49436i | 0.404317 | + | 0.233433i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −2.65330 | + | 4.59565i | −0.112525 | + | 0.194899i | ||||
\(557\) | 24.1319 | − | 13.9325i | 1.02250 | − | 0.590341i | 0.107673 | − | 0.994186i | \(-0.465660\pi\) |
0.914827 | + | 0.403846i | \(0.132327\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 6.98316 | + | 13.5492i | 0.295356 | + | 0.573069i | ||||
\(560\) | −0.0813534 | − | 0.140908i | −0.00343781 | − | 0.00595446i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 16.8460 | 0.710604 | ||||||||
\(563\) | 13.3491 | + | 23.1214i | 0.562599 | + | 0.974450i | 0.997269 | + | 0.0738603i | \(0.0235319\pi\) |
−0.434669 | + | 0.900590i | \(0.643135\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.204564i | 0.00860606i | ||||||||
\(566\) | −15.6648 | − | 9.04408i | −0.658441 | − | 0.380151i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 17.4252 | − | 30.1813i | 0.731145 | − | 1.26638i | ||||
\(569\) | −7.92670 | + | 13.7294i | −0.332305 | + | 0.575568i | −0.982963 | − | 0.183802i | \(-0.941160\pi\) |
0.650659 | + | 0.759370i | \(0.274493\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5.89230 | + | 10.2058i | −0.246585 | + | 0.427098i | −0.962576 | − | 0.271012i | \(-0.912642\pi\) |
0.715991 | + | 0.698109i | \(0.245975\pi\) | |||||||
\(572\) | 5.70291 | − | 2.93924i | 0.238451 | − | 0.122896i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 25.1759 | + | 14.5353i | 1.05082 | + | 0.606693i | ||||
\(575\) | −14.1386 | − | 24.4888i | −0.589622 | − | 1.02125i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.85716i | 0.160576i | 0.996772 | + | 0.0802879i | \(0.0255840\pi\) | ||||
−0.996772 | + | 0.0802879i | \(0.974416\pi\) | |||||||
\(578\) | 10.2642i | 0.426935i | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.530697 | + | 0.306398i | 0.0220360 | + | 0.0127225i | ||||
\(581\) | 23.9684 | + | 41.5145i | 0.994377 | + | 1.72231i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.836321 | + | 0.482850i | 0.0346369 | + | 0.0199976i | ||||
\(584\) | 16.1469 | 0.668162 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.234771 | 0.00969828 | ||||||||
\(587\) | 22.1887 | + | 12.8107i | 0.915827 | + | 0.528753i | 0.882301 | − | 0.470685i | \(-0.155993\pi\) |
0.0335257 | + | 0.999438i | \(0.489326\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.57430 | + | 11.3870i | 0.270889 | + | 0.469194i | ||||
\(590\) | −0.0150646 | − | 0.00869756i | −0.000620200 | − | 0.000358073i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | − | 3.26392i | − | 0.134146i | ||||||
\(593\) | − | 10.1922i | − | 0.418543i | −0.977858 | − | 0.209272i | \(-0.932891\pi\) | ||
0.977858 | − | 0.209272i | \(-0.0671093\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.637956 | + | 1.10497i | 0.0261536 | + | 0.0452994i | ||||
\(596\) | −24.1008 | − | 13.9146i | −0.987206 | − | 0.569964i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.761752 | − | 15.9535i | 0.0311504 | − | 0.652389i | ||||
\(599\) | 6.90176 | − | 11.9542i | 0.281998 | − | 0.488435i | −0.689878 | − | 0.723925i | \(-0.742336\pi\) |
0.971877 | + | 0.235490i | \(0.0756694\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.66423 | − | 9.81073i | 0.231049 | − | 0.400188i | −0.727068 | − | 0.686565i | \(-0.759118\pi\) |
0.958117 | + | 0.286377i | \(0.0924510\pi\) | |||||||
\(602\) | 6.21343 | − | 10.7620i | 0.253241 | − | 0.438626i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −16.6870 | − | 9.63422i | −0.678983 | − | 0.392011i | ||||
\(605\) | − | 0.579156i | − | 0.0235460i | ||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −5.44652 | − | 9.43365i | −0.221067 | − | 0.382900i | 0.734065 | − | 0.679079i | \(-0.237621\pi\) |
−0.955132 | + | 0.296179i | \(0.904287\pi\) | |||||||
\(608\) | 18.3898 | 0.745805 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.0399972 | − | 0.0692772i | −0.00161944 | − | 0.00280495i | ||||
\(611\) | −9.57825 | − | 6.15708i | −0.387494 | − | 0.249089i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 27.0132 | − | 15.5961i | 1.09105 | − | 0.629920i | 0.157197 | − | 0.987567i | \(-0.449754\pi\) |
0.933857 | + | 0.357647i | \(0.116421\pi\) | |||||||
\(614\) | −5.24742 | + | 9.08880i | −0.211769 | + | 0.366794i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −11.0595 | − | 6.38521i | −0.445600 | − | 0.257268i | ||||
\(617\) | −29.4907 | + | 17.0265i | −1.18725 | + | 0.685460i | −0.957681 | − | 0.287831i | \(-0.907066\pi\) |
−0.229571 | + | 0.973292i | \(0.573732\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.48048 | + | 4.31886i | −0.300666 | + | 0.173589i | −0.642742 | − | 0.766083i | \(-0.722203\pi\) |
0.342076 | + | 0.939672i | \(0.388870\pi\) | |||||||
\(620\) | 0.179638 | − | 0.311143i | 0.00721446 | − | 0.0124958i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.03261 | − | 5.21498i | 0.362175 | − | 0.209102i | ||||
\(623\) | −2.82191 | − | 4.88769i | −0.113057 | − | 0.195821i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −12.4713 | + | 21.6009i | −0.498851 | + | 0.864034i | ||||
\(626\) | 11.8154i | 0.472238i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −22.0693 | −0.880662 | ||||||||
\(629\) | 25.5949i | 1.02054i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −34.8576 | − | 20.1250i | −1.38766 | − | 0.801165i | −0.394608 | − | 0.918850i | \(-0.629120\pi\) |
−0.993051 | + | 0.117684i | \(0.962453\pi\) | |||||||
\(632\) | 2.82960 | − | 1.63367i | 0.112555 | − | 0.0649839i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −14.5602 | −0.578258 | ||||||||
\(635\) | − | 0.441779i | − | 0.0175314i | ||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −11.7361 | − | 22.7711i | −0.465001 | − | 0.902225i | ||||
\(638\) | 7.16157 | 0.283529 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.285152 | − | 0.493898i | −0.0112716 | − | 0.0195230i | ||||
\(641\) | 25.7663 | 1.01771 | 0.508855 | − | 0.860852i | \(-0.330069\pi\) | ||||
0.508855 | + | 0.860852i | \(0.330069\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.85976 | − | 2.22843i | 0.152214 | − | 0.0878809i | −0.421958 | − | 0.906615i | \(-0.638657\pi\) |
0.574173 | + | 0.818734i | \(0.305324\pi\) | |||||||
\(644\) | 25.5404 | − | 14.7458i | 1.00643 | − | 0.581064i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.5012 | −0.531198 | ||||||||
\(647\) | 4.35879 | + | 7.54964i | 0.171362 | + | 0.296807i | 0.938896 | − | 0.344201i | \(-0.111850\pi\) |
−0.767535 | + | 0.641008i | \(0.778517\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.460436 | 0.0180737 | ||||||||
\(650\) | −12.5324 | + | 6.45913i | −0.491562 | + | 0.253348i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 18.2964i | − | 0.716541i | ||||||
\(653\) | −10.9850 | −0.429875 | −0.214938 | − | 0.976628i | \(-0.568955\pi\) | ||||
−0.214938 | + | 0.976628i | \(0.568955\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.04654 | − | 0.604222i | 0.0408919 | − | 0.0236089i | ||||
\(656\) | −5.99363 | − | 3.46043i | −0.234012 | − | 0.135107i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 9.28294i | 0.361887i | ||||||||
\(659\) | −18.2023 | −0.709062 | −0.354531 | − | 0.935044i | \(-0.615359\pi\) | ||||
−0.354531 | + | 0.935044i | \(0.615359\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.4612i | 0.406894i | 0.979086 | + | 0.203447i | \(0.0652145\pi\) | ||||
−0.979086 | + | 0.203447i | \(0.934786\pi\) | |||||||
\(662\) | −2.22986 | + | 3.86223i | −0.0866659 | + | 0.150110i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 16.9200 | + | 29.3064i | 0.656625 | + | 1.13731i | ||||
\(665\) | −0.632953 | + | 0.365435i | −0.0245449 | + | 0.0141710i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −20.1897 | + | 34.9696i | −0.781749 | + | 1.35403i | ||||
\(668\) | −1.62161 | + | 0.936237i | −0.0627420 | + | 0.0362241i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.0695670 | + | 0.0401645i | −0.00268761 | + | 0.00155169i | ||||
\(671\) | 1.83372 | + | 1.05870i | 0.0707899 | + | 0.0408706i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.31408 | − | 12.6684i | 0.281937 | − | 0.488329i | −0.689925 | − | 0.723881i | \(-0.742356\pi\) |
0.971862 | + | 0.235552i | \(0.0756898\pi\) | |||||||
\(674\) | −21.8038 | + | 12.5884i | −0.839850 | + | 0.484888i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 17.9545 | + | 1.71850i | 0.690556 | + | 0.0660963i | ||||
\(677\) | −5.21183 | − | 9.02716i | −0.200307 | − | 0.346942i | 0.748320 | − | 0.663338i | \(-0.230861\pi\) |
−0.948627 | + | 0.316396i | \(0.897527\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 37.6448 | 1.44468 | ||||||||
\(680\) | 0.450353 | + | 0.780034i | 0.0172702 | + | 0.0299129i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 4.19877i | − | 0.160779i | ||||||
\(683\) | −5.83030 | − | 3.36612i | −0.223090 | − | 0.128801i | 0.384290 | − | 0.923212i | \(-0.374446\pi\) |
−0.607380 | + | 0.794411i | \(0.707780\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.257652 | − | 0.446267i | 0.00984439 | − | 0.0170510i | ||||
\(686\) | −0.154378 | + | 0.267391i | −0.00589419 | + | 0.0102090i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.47923 | + | 2.56211i | −0.0563952 | + | 0.0976794i | ||||
\(689\) | 1.24374 | + | 2.41319i | 0.0473829 | + | 0.0919353i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.40388 | − | 3.69728i | −0.243615 | − | 0.140651i | 0.373222 | − | 0.927742i | \(-0.378253\pi\) |
−0.616837 | + | 0.787091i | \(0.711586\pi\) | |||||||
\(692\) | 10.2075 | + | 17.6800i | 0.388032 | + | 0.672092i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 12.5611i | − | 0.476811i | ||||||
\(695\) | − | 0.236785i | − | 0.00898176i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 47.0008 | + | 27.1359i | 1.78028 | + | 1.02785i | ||||
\(698\) | −10.6483 | − | 18.4434i | −0.403044 | − | 0.698093i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −22.5457 | − | 13.0168i | −0.852148 | − | 0.491988i | ||||
\(701\) | 30.2665 | 1.14315 | 0.571576 | − | 0.820549i | \(-0.306332\pi\) | ||||
0.571576 | + | 0.820549i | \(0.306332\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −14.6614 | −0.552963 | ||||||||
\(704\) | −3.53115 | − | 2.03871i | −0.133085 | − | 0.0768368i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.81286 | + | 3.13996i | 0.0682278 | + | 0.118174i | ||||
\(707\) | −55.9448 | − | 32.2997i | −2.10402 | − | 1.21476i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.0660461i | 0.00248041i | 0.999999 | + | 0.00124021i | \(0.000394770\pi\) | ||||
−0.999999 | + | 0.00124021i | \(0.999605\pi\) | |||||||
\(710\) | 0.636920i | 0.0239032i | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.99207 | − | 3.45037i | −0.0746562 | − | 0.129308i | ||||
\(713\) | 20.5024 | + | 11.8370i | 0.767820 | + | 0.443301i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.154800 | + | 0.240815i | −0.00578920 | + | 0.00900596i | ||||
\(716\) | 3.60911 | − | 6.25117i | 0.134879 | − | 0.233617i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.31641 | − | 10.9403i | 0.235726 | − | 0.408290i | ||||
\(719\) | −1.90007 | + | 3.29102i | −0.0708607 | + | 0.122734i | −0.899279 | − | 0.437376i | \(-0.855908\pi\) |
0.828418 | + | 0.560110i | \(0.189241\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −57.4139 | − | 33.1479i | −2.13821 | − | 1.23449i | ||||
\(722\) | 7.13696i | 0.265610i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.00289 | − | 12.1294i | −0.260260 | − | 0.450784i | ||||
\(725\) | 35.6448 | 1.32382 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.0132 | − | 31.1997i | −0.668071 | − | 1.15713i | −0.978443 | − | 0.206518i | \(-0.933787\pi\) |
0.310372 | − | 0.950615i | \(-0.399546\pi\) | |||||||
\(728\) | −16.4473 | − | 31.9120i | −0.609577 | − | 1.18274i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.255562 | + | 0.147549i | −0.00945877 | + | 0.00546102i | ||||
\(731\) | 11.5998 | − | 20.0915i | 0.429035 | − | 0.743110i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.90293 | − | 3.98541i | −0.254966 | − | 0.147204i | 0.367070 | − | 0.930193i | \(-0.380361\pi\) |
−0.622036 | + | 0.782989i | \(0.713694\pi\) | |||||||
\(734\) | −14.0759 | + | 8.12674i | −0.519552 | + | 0.299963i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 28.6749 | − | 16.5554i | 1.05697 | − | 0.610242i | ||||
\(737\) | 1.06313 | − | 1.84139i | 0.0391607 | − | 0.0678284i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.98365 | + | 5.18671i | −0.330469 | + | 0.190796i | −0.656049 | − | 0.754718i | \(-0.727774\pi\) |
0.325580 | + | 0.945514i | \(0.394440\pi\) | |||||||
\(740\) | 0.200306 | + | 0.346940i | 0.00736339 | + | 0.0127538i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.10665 | − | 1.91677i | 0.0406264 | − | 0.0703670i | ||||
\(743\) | 1.32175i | 0.0484904i | 0.999706 | + | 0.0242452i | \(0.00771824\pi\) | ||||
−0.999706 | + | 0.0242452i | \(0.992282\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.24176 | 0.0454946 | ||||||||
\(746\) | 4.75791i | 0.174199i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.45659 | − | 4.88242i | −0.309204 | − | 0.178519i | ||||
\(749\) | 33.4370 | − | 19.3048i | 1.22176 | − | 0.705383i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.8895 | −0.506834 | −0.253417 | − | 0.967357i | \(-0.581555\pi\) | ||||
−0.253417 | + | 0.967357i | \(0.581555\pi\) | |||||||
\(752\) | − | 2.20999i | − | 0.0805901i | ||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 16.9358 | + | 10.8867i | 0.616767 | + | 0.396470i | ||||
\(755\) | 0.859774 | 0.0312904 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 15.7299 | + | 27.2450i | 0.571712 | + | 0.990235i | 0.996390 | + | 0.0848903i | \(0.0270540\pi\) |
−0.424678 | + | 0.905344i | \(0.639613\pi\) | |||||||
\(758\) | 12.3931 | 0.450138 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.446821 | + | 0.257972i | −0.0162079 | + | 0.00935764i | ||||
\(761\) | −41.9973 | + | 24.2472i | −1.52240 | + | 0.878960i | −0.522753 | + | 0.852484i | \(0.675095\pi\) |
−0.999649 | + | 0.0264754i | \(0.991572\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −26.8963 | −0.973711 | ||||||||
\(764\) | −1.88543 | − | 3.26567i | −0.0682126 | − | 0.118148i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −11.7399 | −0.424178 | ||||||||
\(767\) | 1.08885 | + | 0.699934i | 0.0393161 | + | 0.0252731i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 11.3355i | − | 0.408770i | −0.978891 | − | 0.204385i | \(-0.934481\pi\) | ||
0.978891 | − | 0.204385i | \(-0.0655194\pi\) | |||||||
\(770\) | 0.233390 | 0.00841080 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 22.9330 | − | 13.2404i | 0.825378 | − | 0.476532i | ||||
\(773\) | −6.57982 | − | 3.79886i | −0.236660 | − | 0.136635i | 0.376981 | − | 0.926221i | \(-0.376962\pi\) |
−0.613640 | + | 0.789586i | \(0.710296\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 20.8983i | − | 0.750688i | ||||||
\(776\) | 26.5746 | 0.953974 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 13.6158i | 0.488148i | ||||||||
\(779\) | −15.5441 | + | 26.9231i | −0.556924 | + | 0.964620i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.42940 | − | 14.6002i | −0.301628 | − | 0.522435i | ||||
\(782\) | −21.0522 | + | 12.1545i | −0.752825 | + | 0.434644i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.48604 | − | 4.30595i | 0.0887872 | − | 0.153784i | ||||
\(785\) | 0.852820 | − | 0.492376i | 0.0304384 | − | 0.0175736i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −32.1986 | + | 18.5899i | −1.14776 | + | 0.662658i | −0.948340 | − | 0.317256i | \(-0.897238\pi\) |
−0.199418 | + | 0.979915i | \(0.563905\pi\) | |||||||
\(788\) | 2.60802 | + | 1.50574i | 0.0929070 | + | 0.0536399i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.0298567 | + | 0.0517133i | −0.00106225 | + | 0.00183988i | ||||
\(791\) | −10.7473 | + | 6.20496i | −0.382130 | + | 0.220623i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 2.72703 | + | 5.29116i | 0.0968398 | + | 0.187895i | ||||
\(794\) | 4.47266 | + | 7.74688i | 0.158729 | + | 0.274927i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −14.4784 | −0.513175 | ||||||||
\(797\) | −3.40431 | − | 5.89644i | −0.120587 | − | 0.208862i | 0.799412 | − | 0.600783i | \(-0.205144\pi\) |
−0.919999 | + | 0.391920i | \(0.871811\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 17.3303i | 0.613101i | ||||||||
\(800\) | −25.3127 | − | 14.6143i | −0.894938 | − | 0.516693i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 5.00086 | − | 8.66175i | 0.176587 | − | 0.305857i | ||||
\(803\) | 3.90551 | − | 6.76454i | 0.137822 | − | 0.238715i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.657967 | + | 1.13963i | −0.0231903 | + | 0.0401668i | ||||
\(806\) | 6.38277 | − | 9.92934i | 0.224823 | − | 0.349746i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −39.4931 | − | 22.8014i | −1.38936 | − | 0.802150i | ||||
\(809\) | −8.57387 | − | 14.8504i | −0.301441 | − | 0.522112i | 0.675021 | − | 0.737798i | \(-0.264134\pi\) |
−0.976463 | + | 0.215687i | \(0.930801\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 21.7276i | − | 0.762959i | −0.924377 | − | 0.381480i | \(-0.875415\pi\) | ||
0.924377 | − | 0.381480i | \(-0.124585\pi\) | |||||||
\(812\) | 37.1754i | 1.30460i | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 4.05459 | + | 2.34092i | 0.142113 | + | 0.0820491i | ||||
\(815\) | 0.408200 | + | 0.707022i | 0.0142986 | + | 0.0247659i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.5089 | + | 6.64464i | 0.402644 | + | 0.232467i | ||||
\(818\) | 15.4787 | 0.541200 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.849462 | 0.0296645 | ||||||||
\(821\) | −11.7354 | − | 6.77542i | −0.409567 | − | 0.236464i | 0.281036 | − | 0.959697i | \(-0.409322\pi\) |
−0.690604 | + | 0.723233i | \(0.742655\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 18.3870 | + | 31.8472i | 0.640931 | + | 1.11012i | 0.985225 | + | 0.171263i | \(0.0547847\pi\) |
−0.344295 | + | 0.938862i | \(0.611882\pi\) | |||||||
\(824\) | −40.5303 | − | 23.4002i | −1.41194 | − | 0.815183i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | − | 1.05528i | − | 0.0367179i | ||||||
\(827\) | 46.7697i | 1.62634i | 0.582026 | + | 0.813170i | \(0.302260\pi\) | ||||
−0.582026 | + | 0.813170i | \(0.697740\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 9.45842 | + | 16.3825i | 0.328505 | + | 0.568987i | 0.982215 | − | 0.187758i | \(-0.0601220\pi\) |
−0.653711 | + | 0.756744i | \(0.726789\pi\) | |||||||
\(830\) | −0.535598 | − | 0.309228i | −0.0185909 | − | 0.0107335i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.25139 | − | 10.1891i | −0.182059 | − | 0.353243i | ||||
\(833\) | −19.4950 | + | 33.7663i | −0.675461 | + | 1.16993i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.0417757 | − | 0.0723576i | 0.00144571 | − | 0.00250404i | ||||
\(836\) | 2.79676 | − | 4.84413i | 0.0967279 | − | 0.167538i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.696571 | + | 0.402165i | 0.0240626 | + | 0.0138926i | ||||
\(839\) | 11.8603i | 0.409464i | 0.978818 | + | 0.204732i | \(0.0656323\pi\) | ||||
−0.978818 | + | 0.204732i | \(0.934368\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.9501 | − | 18.9661i | −0.377589 | − | 0.654004i | ||||
\(842\) | 17.4836 | 0.602523 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.268121 | − | 0.464399i | −0.00922910 | − | 0.0159853i | ||||
\(845\) | −0.732150 | + | 0.334164i | −0.0251867 | + | 0.0114956i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 30.4275 | − | 17.5673i | 1.04550 | − | 0.603621i | ||||
\(848\) | −0.263460 | + | 0.456327i | −0.00904727 | + | 0.0156703i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 18.5838 | + | 10.7293i | 0.637418 | + | 0.368014i | ||||
\(851\) | −22.8612 | + | 13.1989i | −0.783671 | + | 0.452453i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −28.3691 | + | 16.3789i | −0.971340 | + | 0.560804i | −0.899645 | − | 0.436623i | \(-0.856174\pi\) |
−0.0716956 | + | 0.997427i | \(0.522841\pi\) | |||||||
\(854\) | 2.42644 | − | 4.20272i | 0.0830312 | − | 0.143814i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 23.6042 | − | 13.6279i | 0.806775 | − | 0.465791i | ||||
\(857\) | −27.4207 | − | 47.4941i | −0.936674 | − | 1.62237i | −0.771622 | − | 0.636081i | \(-0.780554\pi\) |
−0.165052 | − | 0.986285i | \(-0.552779\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −17.3224 | + | 30.0032i | −0.591031 | + | 1.02370i | 0.403063 | + | 0.915172i | \(0.367946\pi\) |
−0.994094 | + | 0.108524i | \(0.965388\pi\) | |||||||
\(860\) | − | 0.363121i | − | 0.0123823i | ||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −5.77185 | −0.196590 | ||||||||
\(863\) | 8.43673i | 0.287190i | 0.989637 | + | 0.143595i | \(0.0458662\pi\) | ||||
−0.989637 | + | 0.143595i | \(0.954134\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.788895 | − | 0.455469i | −0.0268232 | − | 0.0154864i | ||||
\(866\) | −4.02515 | + | 2.32392i | −0.136780 | + | 0.0789700i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 21.7956 | 0.739792 | ||||||||
\(869\) | − | 1.58057i | − | 0.0536172i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 5.31330 | − | 2.73844i | 0.180034 | − | 0.0927885i | ||||
\(872\) | −18.9869 | −0.642978 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −6.96236 | − | 12.0592i | −0.235505 | − | 0.407907i | ||||
\(875\) | 2.32417 | 0.0785712 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8.48217 | − | 4.89718i | 0.286423 | − | 0.165366i | −0.349905 | − | 0.936785i | \(-0.613786\pi\) |
0.636327 | + | 0.771419i | \(0.280453\pi\) | |||||||
\(878\) | 16.0589 | − | 9.27158i | 0.541960 | − | 0.312901i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.0555632 | −0.00187304 | ||||||||
\(881\) | −13.3270 | − | 23.0831i | −0.448999 | − | 0.777689i | 0.549322 | − | 0.835611i | \(-0.314886\pi\) |
−0.998321 | + | 0.0579215i | \(0.981553\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 13.3367 | 0.448816 | 0.224408 | − | 0.974495i | \(-0.427955\pi\) | ||||
0.224408 | + | 0.974495i | \(0.427955\pi\) | |||||||
\(884\) | −12.5763 | − | 24.4014i | −0.422987 | − | 0.820707i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | − | 31.0670i | − | 1.04372i | ||||||
\(887\) | −22.5560 | −0.757355 | −0.378678 | − | 0.925529i | \(-0.623621\pi\) | ||||
−0.378678 | + | 0.925529i | \(0.623621\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 23.2100 | − | 13.4003i | 0.778439 | − | 0.449432i | ||||
\(890\) | 0.0630585 | + | 0.0364068i | 0.00211372 | + | 0.00122036i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 2.81942i | − | 0.0944011i | ||||||
\(893\) | −9.92717 | −0.332200 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0.322083i | 0.0107661i | ||||||||
\(896\) | 17.2988 | − | 29.9625i | 0.577914 | − | 1.00098i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −3.45666 | − | 5.98711i | −0.115350 | − | 0.199793i | ||||
\(899\) | −25.8442 | + | 14.9212i | −0.861953 | + | 0.497649i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.06600 | − | 3.57842i | 0.0688284 | − | 0.119214i | ||||
\(902\) | 8.59740 | − | 4.96371i | 0.286262 | − | 0.165273i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.58685 | + | 4.38027i | −0.252335 | + | 0.145686i | ||||
\(905\) | 0.541222 | + | 0.312474i | 0.0179908 | + | 0.0103870i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.51436 | − | 2.62295i | 0.0502835 | − | 0.0870935i | −0.839788 | − | 0.542914i | \(-0.817321\pi\) |
0.890072 | + | 0.455821i | \(0.150654\pi\) | |||||||
\(908\) | −31.6059 | + | 18.2477i | −1.04888 | + | 0.605570i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.551926 | + | 0.354789i | 0.0182962 | + | 0.0117611i | ||||
\(911\) | −8.08483 | − | 14.0033i | −0.267862 | − | 0.463951i | 0.700447 | − | 0.713704i | \(-0.252984\pi\) |
−0.968310 | + | 0.249753i | \(0.919651\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 16.3701 | 0.541770 | ||||||||
\(914\) | 8.12946 | + | 14.0806i | 0.268899 | + | 0.465746i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 37.2451i | 1.23061i | ||||||||
\(917\) | 63.4889 | + | 36.6553i | 2.09659 | + | 1.21047i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −1.41858 | + | 2.45706i | −0.0467947 | + | 0.0810509i | −0.888474 | − | 0.458927i | \(-0.848234\pi\) |
0.841679 | + | 0.539978i | \(0.181567\pi\) | |||||||
\(920\) | −0.464480 | + | 0.804502i | −0.0153134 | + | 0.0265237i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.10162 | − | 7.10422i | 0.135080 | − | 0.233965i | ||||
\(923\) | 2.26043 | − | 47.3408i | 0.0744031 | − | 1.55824i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 20.1806 | + | 11.6513i | 0.663536 | + | 0.383092i | ||||
\(926\) | 7.94622 | + | 13.7633i | 0.261129 | + | 0.452289i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 41.7378i | 1.37011i | ||||||||
\(929\) | 37.8966i | 1.24335i | 0.783276 | + | 0.621674i | \(0.213547\pi\) | ||||
−0.783276 | + | 0.621674i | \(0.786453\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −19.3421 | − | 11.1672i | −0.633912 | − | 0.365989i | ||||
\(932\) | −5.65805 | − | 9.80003i | −0.185336 | − | 0.321011i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −9.50483 | − | 5.48762i | −0.311008 | − | 0.179560i | ||||
\(935\) | 0.435715 | 0.0142494 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −41.8330 | −1.36662 | −0.683312 | − | 0.730126i | \(-0.739461\pi\) | ||||
−0.683312 | + | 0.730126i | \(0.739461\pi\) | |||||||
\(938\) | −4.22030 | − | 2.43659i | −0.137798 | − | 0.0795576i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.135627 | + | 0.234912i | 0.00442365 | + | 0.00766199i | ||||
\(941\) | 1.89154 | + | 1.09208i | 0.0616623 | + | 0.0356008i | 0.530514 | − | 0.847676i | \(-0.321999\pi\) |
−0.468852 | + | 0.883277i | \(0.655332\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 55.9742i | 1.82277i | ||||||||
\(944\) | 0.251230i | 0.00817686i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.12184 | − | 3.67514i | −0.0689871 | − | 0.119489i | ||||
\(947\) | 35.7338 | + | 20.6309i | 1.16119 | + | 0.670414i | 0.951589 | − | 0.307372i | \(-0.0994497\pi\) |
0.209603 | + | 0.977787i | \(0.432783\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 19.5190 | − | 10.0600i | 0.633612 | − | 0.326560i | ||||
\(950\) | −6.14601 | + | 10.6452i | −0.199403 | + | 0.345376i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −27.3208 | + | 47.3210i | −0.885472 | + | 1.53368i | ||||
\(953\) | 24.5159 | − | 42.4627i | 0.794146 | − | 1.37550i | −0.129233 | − | 0.991614i | \(-0.541252\pi\) |
0.923380 | − | 0.383888i | \(-0.125415\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.145717 | + | 0.0841295i | 0.00471528 | + | 0.00272237i | ||||
\(956\) | 18.9885i | 0.614132i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 3.87149 | + | 6.70562i | 0.125082 | + | 0.216649i | ||||
\(959\) | 31.2611 | 1.00947 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.75185 | − | 11.6945i | −0.217802 | − | 0.377243i | ||||
\(962\) | 6.02983 | + | 11.6994i | 0.194409 | + | 0.377205i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 15.9544 | − | 9.21126i | 0.513856 | − | 0.296675i | ||||
\(965\) | −0.590797 | + | 1.02329i | −0.0190184 | + | 0.0329409i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −48.5763 | − | 28.0455i | −1.56211 | − | 0.901884i | −0.997044 | − | 0.0768368i | \(-0.975518\pi\) |
−0.565064 | − | 0.825047i | \(-0.691149\pi\) | |||||||
\(968\) | 21.4797 | − | 12.4013i | 0.690385 | − | 0.398594i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.420606 | + | 0.242837i | −0.0135048 | + | 0.00779702i | ||||
\(971\) | −16.5122 | + | 28.6000i | −0.529903 | + | 0.917819i | 0.469488 | + | 0.882939i | \(0.344438\pi\) |
−0.999391 | + | 0.0348805i | \(0.988895\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 12.4401 | − | 7.18231i | 0.398812 | − | 0.230254i | ||||
\(974\) | −16.1009 | − | 27.8875i | −0.515906 | − | 0.893575i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.577663 | + | 1.00054i | −0.0184906 | + | 0.0320266i | ||||
\(977\) | 33.4220i | 1.06927i | 0.845084 | + | 0.534633i | \(0.179550\pi\) | ||||
−0.845084 | + | 0.534633i | \(0.820450\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.92733 | −0.0615976 | ||||||||
\(980\) | 0.610271i | 0.0194944i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −12.0054 | − | 6.93129i | −0.383106 | − | 0.221186i | ||||
\(983\) | 31.4108 | − | 18.1350i | 1.00185 | − | 0.578418i | 0.0930545 | − | 0.995661i | \(-0.470337\pi\) |
0.908795 | + | 0.417243i | \(0.137004\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −0.134375 | −0.00428154 | ||||||||
\(986\) | − | 30.6426i | − | 0.975860i | ||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 13.9777 | − | 7.20400i | 0.444688 | − | 0.229190i | ||||
\(989\) | 23.9274 | 0.760846 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.1550 | + | 34.9095i | 0.640244 | + | 1.10894i | 0.985378 | + | 0.170382i | \(0.0545003\pi\) |
−0.345134 | + | 0.938554i | \(0.612166\pi\) | |||||||
\(992\) | 24.4705 | 0.776940 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −33.4623 | + | 19.3195i | −1.06136 | + | 0.612776i | ||||
\(995\) | 0.559487 | − | 0.323020i | 0.0177369 | − | 0.0102404i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 32.7202 | 1.03626 | 0.518129 | − | 0.855303i | \(-0.326629\pi\) | ||||
0.518129 | + | 0.855303i | \(0.326629\pi\) | |||||||
\(998\) | −7.35248 | − | 12.7349i | −0.232739 | − | 0.403115i | ||||
\(999\) | 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 | 351.2.r.b.10.4 | 22 | ||
3.2 | odd | 2 | 117.2.r.b.49.8 | yes | 22 | ||
9.2 | odd | 6 | 117.2.l.b.88.4 | yes | 22 | ||
9.7 | even | 3 | 351.2.l.b.127.8 | 22 | |||
13.4 | even | 6 | 351.2.l.b.199.4 | 22 | |||
39.17 | odd | 6 | 117.2.l.b.4.8 | ✓ | 22 | ||
117.43 | even | 6 | inner | 351.2.r.b.316.4 | 22 | ||
117.56 | odd | 6 | 117.2.r.b.43.8 | yes | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
117.2.l.b.4.8 | ✓ | 22 | 39.17 | odd | 6 | ||
117.2.l.b.88.4 | yes | 22 | 9.2 | odd | 6 | ||
117.2.r.b.43.8 | yes | 22 | 117.56 | odd | 6 | ||
117.2.r.b.49.8 | yes | 22 | 3.2 | odd | 2 | ||
351.2.l.b.127.8 | 22 | 9.7 | even | 3 | |||
351.2.l.b.199.4 | 22 | 13.4 | even | 6 | |||
351.2.r.b.10.4 | 22 | 1.1 | even | 1 | trivial | ||
351.2.r.b.316.4 | 22 | 117.43 | even | 6 | inner |