Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), 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: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.5 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.5 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06515 | + | 1.26940i | −0.753174 | + | 0.897598i | −0.997396 | − | 0.0721215i | \(-0.977023\pi\) |
0.244222 | + | 0.969719i | \(0.421468\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.129525 | − | 0.734574i | −0.0647626 | − | 0.367287i | ||||
\(5\) | 2.93903 | − | 2.46614i | 1.31437 | − | 1.10289i | 0.326907 | − | 0.945057i | \(-0.393994\pi\) |
0.987466 | − | 0.157833i | \(-0.0504508\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.02233 | + | 1.70592i | 0.764369 | + | 0.644779i | ||||
\(8\) | −1.79971 | − | 1.03907i | −0.636295 | − | 0.367365i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 6.35759i | 2.01045i | ||||||||
\(11\) | −1.84743 | + | 2.20168i | −0.557020 | + | 0.663830i | −0.968913 | − | 0.247402i | \(-0.920423\pi\) |
0.411893 | + | 0.911232i | \(0.364868\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.44158 | − | 3.96072i | 0.399823 | − | 1.09851i | −0.562547 | − | 0.826765i | \(-0.690179\pi\) |
0.962371 | − | 0.271740i | \(-0.0875992\pi\) | |||||||
\(14\) | −4.31958 | + | 0.750072i | −1.15446 | + | 0.200465i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.63779 | − | 1.68802i | 1.15945 | − | 0.422005i | ||||
\(17\) | 3.18833 | 0.773284 | 0.386642 | − | 0.922230i | \(-0.373635\pi\) | ||||
0.386642 | + | 0.922230i | \(0.373635\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.26672i | 0.520020i | 0.965606 | + | 0.260010i | \(0.0837259\pi\) | ||||
−0.965606 | + | 0.260010i | \(0.916274\pi\) | |||||||
\(20\) | −2.19224 | − | 1.83951i | −0.490200 | − | 0.411326i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.827014 | − | 4.69023i | −0.176320 | − | 0.999960i | ||||
\(23\) | 0.782500 | − | 2.14990i | 0.163163 | − | 0.448285i | −0.830988 | − | 0.556291i | \(-0.812224\pi\) |
0.994150 | + | 0.108005i | \(0.0344463\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.68781 | − | 9.57204i | 0.337562 | − | 1.91441i | ||||
\(26\) | 3.49221 | + | 6.04869i | 0.684880 | + | 1.18625i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.991186 | − | 1.70651i | 0.187317 | − | 0.322501i | ||||
\(29\) | −0.356349 | − | 0.979061i | −0.0661723 | − | 0.181807i | 0.902199 | − | 0.431320i | \(-0.141952\pi\) |
−0.968372 | + | 0.249513i | \(0.919730\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.54472 | − | 1.50666i | 1.53468 | − | 0.270605i | 0.658495 | − | 0.752585i | \(-0.271194\pi\) |
0.876182 | + | 0.481981i | \(0.160082\pi\) | |||||||
\(32\) | −1.37565 | + | 3.77958i | −0.243183 | + | 0.668141i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.39605 | + | 4.04725i | −0.582417 | + | 0.694098i | ||||
\(35\) | 10.1507 | + | 0.0264162i | 1.71579 | + | 0.00446515i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0122349 | + | 0.0211914i | −0.00201140 | + | 0.00348384i | −0.867029 | − | 0.498257i | \(-0.833974\pi\) |
0.865018 | + | 0.501741i | \(0.167307\pi\) | |||||||
\(38\) | −2.87736 | − | 2.41439i | −0.466769 | − | 0.391666i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −7.85188 | + | 1.38450i | −1.24149 | + | 0.218909i | ||||
\(41\) | −2.99981 | − | 1.09184i | −0.468492 | − | 0.170517i | 0.0969772 | − | 0.995287i | \(-0.469083\pi\) |
−0.565469 | + | 0.824770i | \(0.691305\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.110557 | + | 0.627001i | −0.0168598 | + | 0.0956167i | −0.992077 | − | 0.125635i | \(-0.959903\pi\) |
0.975217 | + | 0.221252i | \(0.0710143\pi\) | |||||||
\(44\) | 1.85658 | + | 1.07190i | 0.279890 | + | 0.161595i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.89560 | + | 3.28327i | 0.279490 | + | 0.484091i | ||||
\(47\) | −1.86595 | + | 10.5823i | −0.272177 | + | 1.54359i | 0.475611 | + | 0.879656i | \(0.342227\pi\) |
−0.747788 | + | 0.663937i | \(0.768884\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.17964 | + | 6.89989i | 0.168520 | + | 0.985698i | ||||
\(50\) | 10.3529 | + | 12.3382i | 1.46413 | + | 1.74488i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −3.09616 | − | 0.545937i | −0.429361 | − | 0.0757079i | ||||
\(53\) | 1.91685 | + | 1.10670i | 0.263300 | + | 0.152016i | 0.625839 | − | 0.779952i | \(-0.284757\pi\) |
−0.362539 | + | 0.931969i | \(0.618090\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 11.0268i | 1.48685i | ||||||||
\(56\) | −1.86705 | − | 5.17151i | −0.249495 | − | 0.691072i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.62238 | + | 0.590498i | 0.213029 | + | 0.0775362i | ||||
\(59\) | 10.2914 | + | 3.74577i | 1.33983 | + | 0.487658i | 0.909759 | − | 0.415138i | \(-0.136267\pi\) |
0.430070 | + | 0.902795i | \(0.358489\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.50570 | − | 1.32346i | −0.961006 | − | 0.169451i | −0.328927 | − | 0.944355i | \(-0.606687\pi\) |
−0.632079 | + | 0.774904i | \(0.717798\pi\) | |||||||
\(62\) | −7.18884 | + | 12.4514i | −0.912984 | + | 1.58133i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.60294 | + | 2.77637i | 0.200367 | + | 0.347046i | ||||
\(65\) | −5.53082 | − | 15.1958i | −0.686014 | − | 1.88481i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −8.32749 | + | 6.98759i | −1.01736 | + | 0.853670i | −0.989294 | − | 0.145936i | \(-0.953381\pi\) |
−0.0280702 | + | 0.999606i | \(0.508936\pi\) | |||||||
\(68\) | −0.412969 | − | 2.34207i | −0.0500799 | − | 0.284017i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −10.8456 | + | 12.8571i | −1.29629 | + | 1.53672i | ||||
\(71\) | −3.88604 | + | 2.24361i | −0.461188 | + | 0.266267i | −0.712544 | − | 0.701628i | \(-0.752457\pi\) |
0.251356 | + | 0.967895i | \(0.419124\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.92730 | − | 1.11273i | 0.225574 | − | 0.130235i | −0.382955 | − | 0.923767i | \(-0.625093\pi\) |
0.608528 | + | 0.793532i | \(0.291760\pi\) | |||||||
\(74\) | −0.0138683 | − | 0.0381028i | −0.00161216 | − | 0.00442937i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.66507 | − | 0.293597i | 0.190997 | − | 0.0336779i | ||||
\(77\) | −7.49200 | + | 1.30095i | −0.853793 | + | 0.148257i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.68949 | − | 8.13045i | −1.09015 | − | 0.914747i | −0.0934288 | − | 0.995626i | \(-0.529783\pi\) |
−0.996724 | + | 0.0808793i | \(0.974227\pi\) | |||||||
\(80\) | 9.46771 | − | 16.3986i | 1.05852 | − | 1.83342i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.58122 | − | 2.64497i | 0.505912 | − | 0.292088i | ||||
\(83\) | 4.16888 | − | 1.51735i | 0.457594 | − | 0.166550i | −0.102931 | − | 0.994689i | \(-0.532822\pi\) |
0.560524 | + | 0.828138i | \(0.310600\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.37059 | − | 7.86286i | 1.01638 | − | 0.852846i | ||||
\(86\) | −0.678152 | − | 0.808190i | −0.0731270 | − | 0.0871494i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.61252 | − | 2.04279i | 0.598297 | − | 0.217762i | ||||
\(89\) | −4.73160 | −0.501549 | −0.250774 | − | 0.968046i | \(-0.580685\pi\) | ||||
−0.250774 | + | 0.968046i | \(0.580685\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.67205 | − | 5.55065i | 1.01391 | − | 0.581866i | ||||
\(92\) | −1.68062 | − | 0.296338i | −0.175216 | − | 0.0308954i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −11.4457 | − | 13.6404i | −1.18053 | − | 1.40690i | ||||
\(95\) | 5.59003 | + | 6.66194i | 0.573525 | + | 0.683500i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.0174 | + | 2.29533i | 1.32172 | + | 0.233055i | 0.789605 | − | 0.613616i | \(-0.210286\pi\) |
0.532117 | + | 0.846671i | \(0.321397\pi\) | |||||||
\(98\) | −10.0152 | − | 5.85198i | −1.01169 | − | 0.591139i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −7.24999 | −0.724999 | ||||||||
\(101\) | −2.55038 | + | 0.928261i | −0.253772 | + | 0.0923654i | −0.465774 | − | 0.884904i | \(-0.654224\pi\) |
0.212002 | + | 0.977269i | \(0.432002\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.27600 | − | 7.47944i | −0.618393 | − | 0.736972i | 0.362401 | − | 0.932022i | \(-0.381957\pi\) |
−0.980793 | + | 0.195051i | \(0.937513\pi\) | |||||||
\(104\) | −6.70988 | + | 5.63026i | −0.657958 | + | 0.552092i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.44657 | + | 1.25445i | −0.334761 | + | 0.121843i | ||||
\(107\) | 12.2288 | − | 7.06029i | 1.18220 | − | 0.682544i | 0.225678 | − | 0.974202i | \(-0.427540\pi\) |
0.956523 | + | 0.291658i | \(0.0942070\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 2.48897 | − | 4.31103i | 0.238400 | − | 0.412922i | −0.721855 | − | 0.692044i | \(-0.756710\pi\) |
0.960255 | + | 0.279123i | \(0.0900436\pi\) | |||||||
\(110\) | −13.9974 | − | 11.7452i | −1.33460 | − | 1.11986i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 12.2588 | + | 4.49799i | 1.15835 | + | 0.425021i | ||||
\(113\) | −7.89136 | + | 1.39146i | −0.742357 | + | 0.130898i | −0.532020 | − | 0.846732i | \(-0.678567\pi\) |
−0.210336 | + | 0.977629i | \(0.567456\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.00216 | − | 8.24837i | −0.279953 | − | 0.769164i | ||||
\(116\) | −0.673037 | + | 0.388578i | −0.0624899 | + | 0.0360786i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −15.7168 | + | 9.07408i | −1.44684 | + | 0.835336i | ||||
\(119\) | 6.44786 | + | 5.43905i | 0.591074 | + | 0.498597i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.475733 | + | 2.69802i | 0.0432485 | + | 0.245274i | ||||
\(122\) | 9.67468 | − | 8.11802i | 0.875904 | − | 0.734971i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.21351 | − | 6.08158i | −0.198779 | − | 0.546142i | ||||
\(125\) | −9.05388 | − | 15.6818i | −0.809804 | − | 1.40262i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.39217 | + | 5.87541i | −0.301006 | + | 0.521358i | −0.976364 | − | 0.216132i | \(-0.930656\pi\) |
0.675358 | + | 0.737490i | \(0.263989\pi\) | |||||||
\(128\) | −13.1537 | − | 2.31936i | −1.16264 | − | 0.205004i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 25.1806 | + | 9.16500i | 2.20849 | + | 0.803823i | ||||
\(131\) | −18.8911 | − | 6.87581i | −1.65053 | − | 0.600742i | −0.661693 | − | 0.749775i | \(-0.730162\pi\) |
−0.988832 | + | 0.149033i | \(0.952384\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.86685 | + | 4.58405i | −0.335298 | + | 0.397487i | ||||
\(134\) | − | 18.0137i | − | 1.55615i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.73808 | − | 3.31288i | −0.492036 | − | 0.284077i | ||||
\(137\) | 18.4568 | + | 3.25444i | 1.57687 | + | 0.278045i | 0.892487 | − | 0.451073i | \(-0.148959\pi\) |
0.684387 | + | 0.729119i | \(0.260070\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.49230 | − | 10.1207i | −0.720308 | − | 0.858429i | 0.274353 | − | 0.961629i | \(-0.411536\pi\) |
−0.994661 | + | 0.103200i | \(0.967092\pi\) | |||||||
\(140\) | −1.29537 | − | 7.45989i | −0.109479 | − | 0.630475i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 1.29119 | − | 7.32269i | 0.108354 | − | 0.614507i | ||||
\(143\) | 6.05700 | + | 10.4910i | 0.506512 | + | 0.877304i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.46182 | − | 1.99868i | −0.287488 | − | 0.165981i | ||||
\(146\) | −0.640372 | + | 3.63173i | −0.0529976 | + | 0.300564i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.0171514 | + | 0.00624259i | 0.00140983 | + | 0.000513138i | ||||
\(149\) | −13.0187 | + | 2.29555i | −1.06654 | + | 0.188059i | −0.679255 | − | 0.733902i | \(-0.737697\pi\) |
−0.387282 | + | 0.921962i | \(0.626586\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.62231 | − | 8.07407i | −0.783052 | − | 0.657059i | 0.160963 | − | 0.986960i | \(-0.448540\pi\) |
−0.944015 | + | 0.329902i | \(0.892984\pi\) | |||||||
\(152\) | 2.35527 | − | 4.07944i | 0.191037 | − | 0.330886i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.32868 | − | 10.8960i | 0.509980 | − | 0.878026i | ||||
\(155\) | 21.3975 | − | 25.5006i | 1.71869 | − | 2.04825i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.20286 | + | 17.0422i | −0.495042 | + | 1.36012i | 0.400971 | + | 0.916091i | \(0.368673\pi\) |
−0.896013 | + | 0.444027i | \(0.853549\pi\) | |||||||
\(158\) | 20.6415 | − | 3.63965i | 1.64215 | − | 0.289555i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.27787 | + | 14.5008i | 0.417252 | + | 1.14639i | ||||
\(161\) | 5.25004 | − | 3.01292i | 0.413761 | − | 0.237452i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.93944 | + | 5.09126i | 0.230235 | + | 0.398779i | 0.957877 | − | 0.287178i | \(-0.0927172\pi\) |
−0.727642 | + | 0.685957i | \(0.759384\pi\) | |||||||
\(164\) | −0.413488 | + | 2.34501i | −0.0322880 | + | 0.183114i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.51436 | + | 6.90815i | −0.195152 | + | 0.536177i | ||||
\(167\) | −1.43991 | − | 8.16616i | −0.111424 | − | 0.631916i | −0.988459 | − | 0.151490i | \(-0.951593\pi\) |
0.877035 | − | 0.480427i | \(-0.159518\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.65055 | − | 3.06317i | −0.280811 | − | 0.235629i | ||||
\(170\) | 20.2701i | 1.55464i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.474899 | 0.0362107 | ||||||||
\(173\) | 18.3478 | − | 6.67804i | 1.39495 | − | 0.507722i | 0.468277 | − | 0.883582i | \(-0.344875\pi\) |
0.926677 | + | 0.375860i | \(0.122653\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.7425 | − | 16.4786i | 1.49239 | − | 1.24566i | ||||
\(176\) | −4.85151 | + | 13.3294i | −0.365696 | + | 1.00474i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.03986 | − | 6.00627i | 0.377754 | − | 0.450189i | ||||
\(179\) | 2.96390i | 0.221532i | 0.993846 | + | 0.110766i | \(0.0353305\pi\) | ||||
−0.993846 | + | 0.110766i | \(0.964670\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −22.0624 | − | 12.7377i | −1.63988 | − | 0.946787i | −0.980872 | − | 0.194653i | \(-0.937642\pi\) |
−0.659011 | − | 0.752134i | \(-0.729025\pi\) | |||||||
\(182\) | −3.25620 | + | 18.1899i | −0.241366 | + | 1.34833i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.64216 | + | 3.05614i | −0.268504 | + | 0.225302i | ||||
\(185\) | 0.0163023 | + | 0.0924549i | 0.00119857 | + | 0.00679742i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.89020 | + | 7.01967i | −0.430734 | + | 0.513329i | ||||
\(188\) | 8.01521 | 0.584569 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −14.4108 | −1.04547 | ||||||||
\(191\) | −14.5728 | + | 17.3672i | −1.05445 | + | 1.25665i | −0.0890120 | + | 0.996031i | \(0.528371\pi\) |
−0.965442 | + | 0.260619i | \(0.916073\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.59185 | − | 14.6991i | −0.186566 | − | 1.05807i | −0.923927 | − | 0.382568i | \(-0.875040\pi\) |
0.737361 | − | 0.675498i | \(-0.236071\pi\) | |||||||
\(194\) | −16.7792 | + | 14.0794i | −1.20468 | + | 1.01084i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.91569 | − | 1.76024i | 0.351121 | − | 0.125732i | ||||
\(197\) | −16.5142 | − | 9.53447i | −1.17659 | − | 0.679303i | −0.221364 | − | 0.975191i | \(-0.571051\pi\) |
−0.955222 | + | 0.295889i | \(0.904384\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 5.80784i | − | 0.411707i | −0.978583 | − | 0.205854i | \(-0.934003\pi\) | ||
0.978583 | − | 0.205854i | \(-0.0659971\pi\) | |||||||
\(200\) | −12.9836 | + | 15.4732i | −0.918076 | + | 1.09412i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.53820 | − | 4.22617i | 0.108227 | − | 0.297352i | ||||
\(203\) | 0.949549 | − | 2.58789i | 0.0666453 | − | 0.181634i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −11.5092 | + | 4.18899i | −0.803834 | + | 0.292572i | ||||
\(206\) | 16.1792 | 1.12726 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 20.8024i | − | 1.44239i | ||||||
\(209\) | −4.99057 | − | 4.18759i | −0.345205 | − | 0.289662i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.180568 | + | 1.02405i | 0.0124308 | + | 0.0704985i | 0.990392 | − | 0.138288i | \(-0.0441599\pi\) |
−0.977961 | + | 0.208786i | \(0.933049\pi\) | |||||||
\(212\) | 0.564670 | − | 1.55142i | 0.0387817 | − | 0.106552i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.06317 | + | 23.0434i | −0.277753 | + | 1.57521i | ||||
\(215\) | 1.22134 | + | 2.11542i | 0.0832946 | + | 0.144271i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.8505 | + | 11.5297i | 1.34754 | + | 0.782685i | ||||
\(218\) | 2.82127 | + | 7.75138i | 0.191081 | + | 0.524990i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 8.10000 | − | 1.42825i | 0.546102 | − | 0.0962925i | ||||
\(221\) | 4.59624 | − | 12.6281i | 0.309177 | − | 0.849456i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.95104 | + | 5.90042i | −0.331546 | + | 0.395122i | −0.905904 | − | 0.423483i | \(-0.860807\pi\) |
0.574358 | + | 0.818604i | \(0.305252\pi\) | |||||||
\(224\) | −9.22970 | + | 5.29679i | −0.616685 | + | 0.353907i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.63916 | − | 11.4994i | 0.441630 | − | 0.764926i | ||||
\(227\) | −2.48407 | − | 2.08438i | −0.164873 | − | 0.138345i | 0.556618 | − | 0.830768i | \(-0.312099\pi\) |
−0.721491 | + | 0.692423i | \(0.756543\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −21.5273 | + | 3.79585i | −1.42257 | + | 0.250837i | −0.831382 | − | 0.555701i | \(-0.812450\pi\) |
−0.591183 | + | 0.806537i | \(0.701339\pi\) | |||||||
\(230\) | 13.6682 | + | 4.97481i | 0.901254 | + | 0.328030i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.375982 | + | 2.13230i | −0.0246844 | + | 0.139992i | ||||
\(233\) | −8.06698 | − | 4.65747i | −0.528486 | − | 0.305121i | 0.211914 | − | 0.977288i | \(-0.432030\pi\) |
−0.740400 | + | 0.672167i | \(0.765364\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 20.6134 | + | 35.7035i | 1.34467 | + | 2.32904i | ||||
\(236\) | 1.41855 | − | 8.04499i | 0.0923396 | − | 0.523684i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −13.7722 | + | 2.39148i | −0.892721 | + | 0.155016i | ||||
\(239\) | 3.92573 | + | 4.67850i | 0.253934 | + | 0.302627i | 0.877919 | − | 0.478810i | \(-0.158932\pi\) |
−0.623984 | + | 0.781437i | \(0.714487\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.327723 | + | 0.0577863i | 0.0211105 | + | 0.00372235i | 0.184193 | − | 0.982890i | \(-0.441033\pi\) |
−0.163083 | + | 0.986612i | \(0.552144\pi\) | |||||||
\(242\) | −3.93158 | − | 2.26990i | −0.252731 | − | 0.145915i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.68492i | 0.363939i | ||||||||
\(245\) | 20.4831 | + | 17.3698i | 1.30861 | + | 1.10972i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.97782 | + | 3.26766i | 0.571245 | + | 0.207916i | ||||
\(248\) | −16.9436 | − | 6.16695i | −1.07592 | − | 0.391602i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 29.5501 | + | 5.21048i | 1.86891 | + | 0.329540i | ||||
\(251\) | 6.85299 | − | 11.8697i | 0.432557 | − | 0.749210i | −0.564536 | − | 0.825409i | \(-0.690945\pi\) |
0.997093 | + | 0.0761982i | \(0.0242782\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.28778 | + | 5.69460i | 0.206701 | + | 0.358016i | ||||
\(254\) | −3.84505 | − | 10.5642i | −0.241260 | − | 0.662856i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.0432 | − | 10.1054i | 0.752700 | − | 0.631590i | ||||
\(257\) | 0.00716061 | + | 0.0406099i | 0.000446667 | + | 0.00253317i | 0.985030 | − | 0.172381i | \(-0.0551462\pi\) |
−0.984584 | + | 0.174915i | \(0.944035\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.0608938 | + | 0.0219842i | −0.00378376 | + | 0.00136603i | ||||
\(260\) | −10.4461 | + | 6.03104i | −0.647837 | + | 0.374029i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 28.8500 | − | 16.6565i | 1.78236 | − | 1.02904i | ||||
\(263\) | 4.77109 | + | 13.1085i | 0.294198 | + | 0.808302i | 0.995441 | + | 0.0953797i | \(0.0304065\pi\) |
−0.701243 | + | 0.712922i | \(0.747371\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.36295 | − | 1.47461i | 0.513732 | − | 0.0905848i | ||||
\(266\) | −1.70020 | − | 9.79125i | −0.104246 | − | 0.600340i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.21152 | + | 5.21209i | 0.379429 | + | 0.318379i | ||||
\(269\) | −11.2526 | + | 19.4900i | −0.686081 | + | 1.18833i | 0.287015 | + | 0.957926i | \(0.407337\pi\) |
−0.973096 | + | 0.230401i | \(0.925996\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.53035 | − | 3.19295i | 0.335945 | − | 0.193958i | −0.322533 | − | 0.946558i | \(-0.604534\pi\) |
0.658477 | + | 0.752601i | \(0.271201\pi\) | |||||||
\(272\) | 14.7868 | − | 5.38196i | 0.896582 | − | 0.326329i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −23.7905 | + | 19.9626i | −1.43723 | + | 1.20598i | ||||
\(275\) | 17.9564 | + | 21.3997i | 1.08281 | + | 1.29045i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.89401 | + | 2.14524i | −0.354137 | + | 0.128895i | −0.512962 | − | 0.858412i | \(-0.671452\pi\) |
0.158825 | + | 0.987307i | \(0.449229\pi\) | |||||||
\(278\) | 21.8928 | 1.31304 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −18.2410 | − | 10.5948i | −1.09011 | − | 0.633161i | ||||
\(281\) | 6.25888 | + | 1.10361i | 0.373373 | + | 0.0658358i | 0.357186 | − | 0.934033i | \(-0.383736\pi\) |
0.0161870 | + | 0.999869i | \(0.494847\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.373940 | − | 0.445644i | −0.0222284 | − | 0.0264908i | 0.754816 | − | 0.655937i | \(-0.227726\pi\) |
−0.777044 | + | 0.629446i | \(0.783282\pi\) | |||||||
\(284\) | 2.15144 | + | 2.56398i | 0.127664 | + | 0.152144i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −19.7689 | − | 3.48579i | −1.16896 | − | 0.206119i | ||||
\(287\) | −4.20401 | − | 7.32552i | −0.248155 | − | 0.432412i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.83455 | −0.402033 | ||||||||
\(290\) | 6.22447 | − | 2.26552i | 0.365513 | − | 0.133036i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −1.06702 | − | 1.27162i | −0.0624424 | − | 0.0744160i | ||||
\(293\) | −7.63328 | + | 6.40508i | −0.445941 | + | 0.374189i | −0.837927 | − | 0.545782i | \(-0.816233\pi\) |
0.391986 | + | 0.919971i | \(0.371788\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 39.4843 | − | 14.3711i | 2.29887 | − | 0.836719i | ||||
\(296\) | 0.0440385 | − | 0.0254256i | 0.00255968 | − | 0.00147783i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 10.9529 | − | 18.9710i | 0.634486 | − | 1.09896i | ||||
\(299\) | −7.38711 | − | 6.19852i | −0.427208 | − | 0.358470i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.29320 | + | 1.07940i | −0.0745388 | + | 0.0622156i | ||||
\(302\) | 20.4984 | − | 3.61442i | 1.17955 | − | 0.207986i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.82626 | + | 10.5126i | 0.219451 | + | 0.602937i | ||||
\(305\) | −25.3233 | + | 14.6204i | −1.45001 | + | 0.837162i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.93850 | + | 1.11920i | −0.110636 | + | 0.0638759i | −0.554297 | − | 0.832319i | \(-0.687013\pi\) |
0.443661 | + | 0.896195i | \(0.353680\pi\) | |||||||
\(308\) | 1.92605 | + | 5.33493i | 0.109747 | + | 0.303986i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 9.57875 | + | 54.3238i | 0.544037 | + | 3.08538i | ||||
\(311\) | 2.85296 | − | 2.39391i | 0.161776 | − | 0.135746i | −0.558306 | − | 0.829635i | \(-0.688548\pi\) |
0.720082 | + | 0.693889i | \(0.244104\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.97702 | + | 13.6743i | 0.281318 | + | 0.772915i | 0.997206 | + | 0.0746997i | \(0.0237998\pi\) |
−0.715888 | + | 0.698215i | \(0.753978\pi\) | |||||||
\(314\) | −15.0263 | − | 26.0264i | −0.847986 | − | 1.46875i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.71738 | + | 8.17075i | −0.265374 | + | 0.459641i | ||||
\(317\) | −1.20663 | − | 0.212762i | −0.0677713 | − | 0.0119499i | 0.139660 | − | 0.990200i | \(-0.455399\pi\) |
−0.207431 | + | 0.978250i | \(0.566510\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.81390 | + | 1.02418i | 0.157548 | + | 0.0573429i | ||||
\(320\) | 11.5580 | + | 4.20676i | 0.646111 | + | 0.235165i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.76749 | + | 9.87359i | −0.0984982 | + | 0.550234i | ||||
\(323\) | 7.22704i | 0.402123i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −35.4790 | − | 20.4838i | −1.96802 | − | 1.13624i | ||||
\(326\) | −9.59377 | − | 1.69164i | −0.531350 | − | 0.0936913i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.26431 | + | 5.08200i | 0.235457 | + | 0.280607i | ||||
\(329\) | −21.8263 | + | 18.2178i | −1.20332 | + | 1.00438i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.55819 | − | 20.1795i | 0.195576 | − | 1.10917i | −0.716020 | − | 0.698080i | \(-0.754038\pi\) |
0.911596 | − | 0.411087i | \(-0.134851\pi\) | |||||||
\(332\) | −1.65458 | − | 2.86582i | −0.0908068 | − | 0.157282i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 11.8998 | + | 6.87035i | 0.651128 | + | 0.375929i | ||||
\(335\) | −7.24235 | + | 41.0734i | −0.395692 | + | 2.24408i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 18.8694 | + | 6.86790i | 1.02788 | + | 0.374119i | 0.800274 | − | 0.599634i | \(-0.204687\pi\) |
0.227608 | + | 0.973753i | \(0.426909\pi\) | |||||||
\(338\) | 7.77675 | − | 1.37125i | 0.422999 | − | 0.0745862i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.98958 | − | 5.86495i | −0.379063 | − | 0.318072i | ||||
\(341\) | −12.4685 | + | 21.5962i | −0.675209 | + | 1.16950i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.38507 | + | 15.9662i | −0.506746 | + | 0.862095i | ||||
\(344\) | 0.850466 | − | 1.01355i | 0.0458540 | − | 0.0546467i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.0660 | + | 30.4037i | −0.594913 | + | 1.63451i | ||||
\(347\) | −0.621132 | + | 0.109522i | −0.0333441 | + | 0.00587947i | −0.190295 | − | 0.981727i | \(-0.560945\pi\) |
0.156951 | + | 0.987606i | \(0.449833\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.582328 | + | 1.59993i | 0.0311713 | + | 0.0856425i | 0.954302 | − | 0.298844i | \(-0.0966009\pi\) |
−0.923131 | + | 0.384486i | \(0.874379\pi\) | |||||||
\(350\) | −0.110896 | + | 42.6132i | −0.00592765 | + | 2.27777i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.77999 | − | 10.0112i | −0.308074 | − | 0.533600i | ||||
\(353\) | 4.15166 | − | 23.5452i | 0.220971 | − | 1.25319i | −0.649269 | − | 0.760559i | \(-0.724925\pi\) |
0.870240 | − | 0.492628i | \(-0.163964\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.88813 | + | 16.1775i | −0.312510 | + | 0.858613i | ||||
\(356\) | 0.612862 | + | 3.47571i | 0.0324816 | + | 0.184212i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.76236 | − | 3.15700i | −0.198847 | − | 0.166852i | ||||
\(359\) | 12.5117i | 0.660342i | 0.943921 | + | 0.330171i | \(0.107106\pi\) | ||||
−0.943921 | + | 0.330171i | \(0.892894\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 13.8620 | 0.729579 | ||||||||
\(362\) | 39.6689 | − | 14.4383i | 2.08495 | − | 0.758860i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.33014 | − | 6.38589i | −0.279375 | − | 0.334711i | ||||
\(365\) | 2.92025 | − | 8.02333i | 0.152853 | − | 0.419960i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.47365 | − | 10.0985i | 0.442321 | − | 0.527138i | −0.498114 | − | 0.867112i | \(-0.665974\pi\) |
0.940435 | + | 0.339974i | \(0.110418\pi\) | |||||||
\(368\) | − | 11.2917i | − | 0.588619i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.134726 | − | 0.0777842i | −0.00700408 | − | 0.00404381i | ||||
\(371\) | 1.98857 | + | 5.50812i | 0.103242 | + | 0.285967i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −8.57998 | + | 7.19946i | −0.444255 | + | 0.372774i | −0.837299 | − | 0.546746i | \(-0.815866\pi\) |
0.393044 | + | 0.919520i | \(0.371422\pi\) | |||||||
\(374\) | −2.63679 | − | 14.9540i | −0.136345 | − | 0.773252i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 14.3539 | − | 17.1063i | 0.740247 | − | 0.882192i | ||||
\(377\) | −4.39149 | −0.226173 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6.24758 | −0.320917 | −0.160458 | − | 0.987043i | \(-0.551297\pi\) | ||||
−0.160458 | + | 0.987043i | \(0.551297\pi\) | |||||||
\(380\) | 4.16964 | − | 4.96918i | 0.213898 | − | 0.254914i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −6.52364 | − | 36.9974i | −0.333778 | − | 1.89295i | ||||
\(383\) | 10.9842 | − | 9.21682i | 0.561266 | − | 0.470958i | −0.317469 | − | 0.948269i | \(-0.602833\pi\) |
0.878734 | + | 0.477311i | \(0.158388\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −18.8109 | + | 22.2998i | −0.958691 | + | 1.13650i | ||||
\(386\) | 21.4197 | + | 12.3667i | 1.09023 | + | 0.629447i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 9.85959i | − | 0.500545i | ||||||
\(389\) | 5.55007 | − | 6.61432i | 0.281400 | − | 0.335359i | −0.606768 | − | 0.794879i | \(-0.707534\pi\) |
0.888167 | + | 0.459520i | \(0.151979\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.49487 | − | 6.85459i | 0.126171 | − | 0.346652i | ||||
\(392\) | 5.04642 | − | 13.6435i | 0.254883 | − | 0.689103i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 29.6931 | − | 10.8074i | 1.49591 | − | 0.544469i | ||||
\(395\) | −48.5285 | −2.44173 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 0.00726859i | − | 0.000364800i | −1.00000 | 0.000182400i | \(-0.999942\pi\) | |||
1.00000 | 0.000182400i | \(-5.80597e-5\pi\) | ||||||||
\(398\) | 7.37245 | + | 6.18622i | 0.369548 | + | 0.310087i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.33008 | − | 47.2422i | −0.416504 | − | 2.36211i | ||||
\(401\) | 5.18167 | − | 14.2365i | 0.258760 | − | 0.710939i | −0.740484 | − | 0.672074i | \(-0.765404\pi\) |
0.999244 | − | 0.0388646i | \(-0.0123741\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.35045 | − | 36.0152i | 0.316338 | − | 1.79404i | ||||
\(404\) | 1.01222 | + | 1.75321i | 0.0503596 | + | 0.0872254i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.27364 | + | 3.96184i | 0.112839 | + | 0.196623i | ||||
\(407\) | −0.0240536 | − | 0.0660867i | −0.00119229 | − | 0.00327580i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.0811 | − | 1.77758i | 0.498480 | − | 0.0878955i | 0.0812453 | − | 0.996694i | \(-0.474110\pi\) |
0.417235 | + | 0.908799i | \(0.362999\pi\) | |||||||
\(410\) | 6.94148 | − | 19.0716i | 0.342815 | − | 0.941878i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −4.68131 | + | 5.57897i | −0.230631 | + | 0.274856i | ||||
\(413\) | 14.4227 | + | 25.1316i | 0.709692 | + | 1.23664i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.51046 | − | 14.7405i | 0.417762 | − | 0.723585i | ||||
\(416\) | 12.9867 | + | 10.8971i | 0.636726 | + | 0.534277i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 10.6314 | − | 1.87460i | 0.519999 | − | 0.0916899i | ||||
\(419\) | −37.4662 | − | 13.6366i | −1.83034 | − | 0.666190i | −0.992795 | − | 0.119827i | \(-0.961766\pi\) |
−0.837548 | − | 0.546363i | \(-0.816012\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.81518 | − | 21.6370i | 0.185940 | − | 1.05452i | −0.738801 | − | 0.673924i | \(-0.764608\pi\) |
0.924741 | − | 0.380597i | \(-0.124281\pi\) | |||||||
\(422\) | −1.49225 | − | 0.861554i | −0.0726418 | − | 0.0419398i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.29986 | − | 3.98347i | −0.111691 | − | 0.193455i | ||||
\(425\) | 5.38129 | − | 30.5188i | 0.261031 | − | 1.48038i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.9213 | − | 15.4806i | −0.625305 | − | 0.749160i | ||||
\(428\) | −6.77024 | − | 8.06846i | −0.327252 | − | 0.390004i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.98621 | − | 0.702877i | −0.192232 | − | 0.0338957i | ||||
\(431\) | 5.61933 | + | 3.24432i | 0.270673 | + | 0.156273i | 0.629194 | − | 0.777249i | \(-0.283385\pi\) |
−0.358520 | + | 0.933522i | \(0.616719\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.48559i | 0.0713927i | 0.999363 | + | 0.0356963i | \(0.0113649\pi\) | ||||
−0.999363 | + | 0.0356963i | \(0.988635\pi\) | |||||||
\(434\) | −35.7794 | + | 12.9173i | −1.71747 | + | 0.620051i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −3.48916 | − | 1.26995i | −0.167100 | − | 0.0608195i | ||||
\(437\) | 4.87321 | + | 1.77371i | 0.233117 | + | 0.0848478i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.4170 | + | 2.18946i | 0.592632 | + | 0.104497i | 0.461917 | − | 0.886923i | \(-0.347162\pi\) |
0.130715 | + | 0.991420i | \(0.458273\pi\) | |||||||
\(440\) | 11.4576 | − | 19.8451i | 0.546217 | − | 0.946076i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 11.1343 | + | 19.2852i | 0.529606 | + | 0.917305i | ||||
\(443\) | 0.531961 | + | 1.46155i | 0.0252742 | + | 0.0694403i | 0.951688 | − | 0.307066i | \(-0.0993474\pi\) |
−0.926414 | + | 0.376507i | \(0.877125\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −13.9063 | + | 11.6688i | −0.659222 | + | 0.553153i | ||||
\(446\) | −2.21637 | − | 12.5697i | −0.104948 | − | 0.595191i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.49461 | + | 8.34922i | −0.0706136 | + | 0.394464i | ||||
\(449\) | 3.71332 | − | 2.14388i | 0.175242 | − | 0.101176i | −0.409813 | − | 0.912169i | \(-0.634406\pi\) |
0.585055 | + | 0.810993i | \(0.301073\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.94581 | − | 4.58752i | 0.374154 | − | 0.216018i | ||||
\(452\) | 2.04426 | + | 5.61656i | 0.0961540 | + | 0.264181i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.29180 | − | 0.933088i | 0.248357 | − | 0.0437920i | ||||
\(455\) | 14.7377 | − | 40.1661i | 0.690916 | − | 1.88302i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.5949 | + | 9.72925i | 0.542385 | + | 0.455115i | 0.872353 | − | 0.488877i | \(-0.162593\pi\) |
−0.329968 | + | 0.943992i | \(0.607038\pi\) | |||||||
\(458\) | 18.1114 | − | 31.3698i | 0.846289 | − | 1.46582i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.67019 | + | 3.27368i | −0.264374 | + | 0.152636i | ||||
\(461\) | −6.54769 | + | 2.38316i | −0.304956 | + | 0.110995i | −0.489966 | − | 0.871742i | \(-0.662991\pi\) |
0.185009 | + | 0.982737i | \(0.440768\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −30.9400 | + | 25.9617i | −1.43790 | + | 1.20654i | −0.497051 | + | 0.867721i | \(0.665584\pi\) |
−0.940851 | + | 0.338822i | \(0.889972\pi\) | |||||||
\(464\) | −3.30535 | − | 3.93916i | −0.153447 | − | 0.182871i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 14.5047 | − | 5.27928i | 0.671918 | − | 0.244558i | ||||
\(467\) | −8.42978 | −0.390084 | −0.195042 | − | 0.980795i | \(-0.562484\pi\) | ||||
−0.195042 | + | 0.980795i | \(0.562484\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −28.7612 | − | 0.0748481i | −1.32807 | − | 0.00345616i | ||||
\(470\) | −67.2782 | − | 11.8630i | −3.10331 | − | 0.547197i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −14.6295 | − | 17.4348i | −0.673378 | − | 0.802500i | ||||
\(473\) | −1.17621 | − | 1.40175i | −0.0540820 | − | 0.0644525i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 21.6971 | + | 3.82578i | 0.995531 | + | 0.175539i | ||||
\(476\) | 3.16023 | − | 5.44092i | 0.144849 | − | 0.249384i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −10.1204 | −0.462894 | ||||||||
\(479\) | −21.6306 | + | 7.87291i | −0.988329 | + | 0.359722i | −0.785073 | − | 0.619403i | \(-0.787375\pi\) |
−0.203256 | + | 0.979126i | \(0.565152\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.0662955 | + | 0.0790079i | 0.00302282 | + | 0.00360245i | ||||
\(482\) | −0.422427 | + | 0.354458i | −0.0192410 | + | 0.0161451i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.92028 | − | 0.698923i | 0.0872852 | − | 0.0317692i | ||||
\(485\) | 43.9192 | − | 25.3568i | 1.99427 | − | 1.15139i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.2168 | + | 22.8922i | −0.598912 | + | 1.03735i | 0.394070 | + | 0.919080i | \(0.371067\pi\) |
−0.992982 | + | 0.118265i | \(0.962267\pi\) | |||||||
\(488\) | 12.1330 | + | 10.1808i | 0.549233 | + | 0.460861i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −43.8667 | + | 7.49967i | −1.98169 | + | 0.338801i | ||||
\(491\) | 12.8648 | − | 2.26841i | 0.580580 | − | 0.102372i | 0.124357 | − | 0.992238i | \(-0.460313\pi\) |
0.456223 | + | 0.889866i | \(0.349202\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.13616 | − | 3.12157i | −0.0511700 | − | 0.140588i | ||||
\(494\) | −13.7107 | + | 7.91586i | −0.616872 | + | 0.356151i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 37.0854 | − | 21.4112i | 1.66518 | − | 0.961393i | ||||
\(497\) | −11.6863 | − | 2.09198i | −0.524201 | − | 0.0938380i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.49105 | + | 25.4700i | 0.201047 | + | 1.14019i | 0.903540 | + | 0.428503i | \(0.140959\pi\) |
−0.702494 | + | 0.711690i | \(0.747930\pi\) | |||||||
\(500\) | −10.3467 | + | 8.68194i | −0.462720 | + | 0.388268i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.76792 | + | 21.3422i | 0.346699 | + | 0.952548i | ||||
\(503\) | 11.7401 | + | 20.3345i | 0.523467 | + | 0.906672i | 0.999627 | + | 0.0273131i | \(0.00869510\pi\) |
−0.476160 | + | 0.879359i | \(0.657972\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.20641 | + | 9.01776i | −0.231682 | + | 0.401285i | ||||
\(506\) | −10.7307 | − | 1.89211i | −0.477036 | − | 0.0841143i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.75530 | + | 1.73079i | 0.210982 | + | 0.0767912i | ||||
\(509\) | −26.6729 | − | 9.70814i | −1.18226 | − | 0.430306i | −0.325257 | − | 0.945626i | \(-0.605451\pi\) |
−0.856998 | + | 0.515320i | \(0.827673\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.79587 | + | 1.03753i | 0.256394 | + | 0.0458975i | ||||
\(512\) | − | 0.661943i | − | 0.0292540i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.0591771 | − | 0.0341659i | −0.00261019 | − | 0.00150699i | ||||
\(515\) | −36.8907 | − | 6.50482i | −1.62560 | − | 0.286637i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −19.8517 | − | 23.6583i | −0.873076 | − | 1.04049i | ||||
\(518\) | 0.0369543 | − | 0.100715i | 0.00162368 | − | 0.00442515i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.83554 | + | 33.0950i | −0.255905 | + | 1.45131i | ||||
\(521\) | 7.53866 | + | 13.0573i | 0.330275 | + | 0.572053i | 0.982566 | − | 0.185916i | \(-0.0595253\pi\) |
−0.652291 | + | 0.757969i | \(0.726192\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −4.13584 | − | 2.38783i | −0.180848 | − | 0.104412i | 0.406843 | − | 0.913498i | \(-0.366630\pi\) |
−0.587691 | + | 0.809086i | \(0.699963\pi\) | |||||||
\(524\) | −2.60391 | + | 14.7675i | −0.113752 | + | 0.645122i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −21.7217 | − | 7.90606i | −0.947112 | − | 0.344721i | ||||
\(527\) | 27.2434 | − | 4.80374i | 1.18674 | − | 0.209254i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.6093 | + | 11.4195i | 0.591707 | + | 0.496501i | ||||
\(530\) | −7.03592 | + | 12.1866i | −0.305621 | + | 0.529351i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.86818 | + | 2.24674i | 0.167707 | + | 0.0974084i | ||||
\(533\) | −8.64896 | + | 10.3074i | −0.374628 | + | 0.446464i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 18.5291 | − | 50.9082i | 0.801082 | − | 2.20095i | ||||
\(536\) | 22.2477 | − | 3.92286i | 0.960952 | − | 0.169442i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −12.7549 | − | 35.0437i | −0.549902 | − | 1.51084i | ||||
\(539\) | −17.3706 | − | 10.1498i | −0.748206 | − | 0.437185i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.3759 | − | 17.9716i | −0.446094 | − | 0.772657i | 0.552034 | − | 0.833822i | \(-0.313852\pi\) |
−0.998128 | + | 0.0611643i | \(0.980519\pi\) | |||||||
\(542\) | −1.83753 | + | 10.4212i | −0.0789287 | + | 0.447627i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.38604 | + | 12.0505i | −0.188050 | + | 0.516662i | ||||
\(545\) | −3.31642 | − | 18.8084i | −0.142060 | − | 0.805662i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.38962 | − | 7.87883i | −0.401471 | − | 0.336874i | 0.419591 | − | 0.907713i | \(-0.362174\pi\) |
−0.821062 | + | 0.570839i | \(0.806618\pi\) | |||||||
\(548\) | − | 13.9795i | − | 0.597173i | ||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −46.2909 | −1.97385 | ||||||||
\(551\) | 2.21925 | − | 0.807742i | 0.0945433 | − | 0.0344110i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −5.72542 | − | 32.9720i | −0.243470 | − | 1.40211i | ||||
\(554\) | 3.55484 | − | 9.76683i | 0.151031 | − | 0.414953i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.33446 | + | 7.54912i | −0.268641 | + | 0.320154i | ||||
\(557\) | − | 21.4809i | − | 0.910173i | −0.890447 | − | 0.455086i | \(-0.849608\pi\) | ||
0.890447 | − | 0.455086i | \(-0.150392\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.32400 | + | 1.34176i | 0.0982945 | + | 0.0567504i | ||||
\(560\) | 47.1216 | − | 17.0121i | 1.99125 | − | 0.718893i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −8.06755 | + | 6.76948i | −0.340309 | + | 0.285553i | ||||
\(563\) | 2.80189 | + | 15.8903i | 0.118085 | + | 0.669696i | 0.985176 | + | 0.171546i | \(0.0548761\pi\) |
−0.867091 | + | 0.498150i | \(0.834013\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.7614 | + | 23.5507i | −0.831368 | + | 0.990786i | ||||
\(566\) | 0.964001 | 0.0405200 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.32501 | 0.391269 | ||||||||
\(569\) | 17.0772 | − | 20.3518i | 0.715912 | − | 0.853191i | −0.278314 | − | 0.960490i | \(-0.589776\pi\) |
0.994227 | + | 0.107299i | \(0.0342202\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 5.14784 | + | 29.1948i | 0.215430 | + | 1.22177i | 0.880158 | + | 0.474680i | \(0.157436\pi\) |
−0.664728 | + | 0.747085i | \(0.731453\pi\) | |||||||
\(572\) | 6.92191 | − | 5.80817i | 0.289420 | − | 0.242852i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.7769 | + | 2.46622i | 0.575036 | + | 0.102938i | ||||
\(575\) | −19.2582 | − | 11.1187i | −0.803124 | − | 0.463684i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 36.2985i | 1.51113i | 0.655075 | + | 0.755564i | \(0.272637\pi\) | ||||
−0.655075 | + | 0.755564i | \(0.727363\pi\) | |||||||
\(578\) | 7.27982 | − | 8.67575i | 0.302801 | − | 0.360864i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1.01979 | + | 2.80184i | −0.0423443 | + | 0.116340i | ||||
\(581\) | 11.0193 | + | 4.04321i | 0.457159 | + | 0.167741i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −5.97783 | + | 2.17575i | −0.247577 | + | 0.0901105i | ||||
\(584\) | −4.62479 | −0.191375 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 16.5120i | − | 0.682105i | ||||||
\(587\) | 27.4601 | + | 23.0418i | 1.13340 | + | 0.951035i | 0.999203 | − | 0.0399198i | \(-0.0127102\pi\) |
0.134196 | + | 0.990955i | \(0.457155\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.41518 | + | 19.3684i | 0.140720 | + | 0.798063i | ||||
\(590\) | −23.8141 | + | 65.4286i | −0.980410 | + | 2.69365i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.0209713 | + | 0.118934i | −0.000861913 | + | 0.00488815i | ||||
\(593\) | 9.90996 | + | 17.1646i | 0.406953 | + | 0.704864i | 0.994547 | − | 0.104293i | \(-0.0332578\pi\) |
−0.587593 | + | 0.809156i | \(0.699924\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 32.3639 | + | 0.0842236i | 1.32679 | + | 0.00345283i | ||||
\(596\) | 3.37251 | + | 9.26590i | 0.138143 | + | 0.379546i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 15.7368 | − | 2.77481i | 0.643524 | − | 0.113471i | ||||
\(599\) | −6.33165 | + | 17.3961i | −0.258704 | + | 0.710783i | 0.740544 | + | 0.672008i | \(0.234568\pi\) |
−0.999248 | + | 0.0387755i | \(0.987654\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −27.1016 | + | 32.2984i | −1.10550 | + | 1.31748i | −0.161741 | + | 0.986833i | \(0.551711\pi\) |
−0.943755 | + | 0.330646i | \(0.892734\pi\) | |||||||
\(602\) | 0.00726407 | − | 2.79130i | 0.000296062 | − | 0.113765i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −4.68468 | + | 8.11410i | −0.190617 | + | 0.330158i | ||||
\(605\) | 8.05187 | + | 6.75632i | 0.327355 | + | 0.274684i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 40.5770 | − | 7.15482i | 1.64697 | − | 0.290405i | 0.728249 | − | 0.685313i | \(-0.240335\pi\) |
0.918721 | + | 0.394908i | \(0.129223\pi\) | |||||||
\(608\) | −8.56722 | − | 3.11821i | −0.347447 | − | 0.126460i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.41400 | − | 47.7182i | 0.340673 | − | 1.93205i | ||||
\(611\) | 39.2237 | + | 22.6458i | 1.58682 | + | 0.916153i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.8946 | + | 29.2623i | 0.682366 | + | 1.18189i | 0.974257 | + | 0.225441i | \(0.0723823\pi\) |
−0.291891 | + | 0.956452i | \(0.594284\pi\) | |||||||
\(614\) | 0.644094 | − | 3.65284i | 0.0259935 | − | 0.147417i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 14.8352 | + | 5.44334i | 0.597728 | + | 0.219319i | ||||
\(617\) | −12.0622 | − | 14.3752i | −0.485607 | − | 0.578724i | 0.466487 | − | 0.884528i | \(-0.345519\pi\) |
−0.952095 | + | 0.305803i | \(0.901075\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.2587 | − | 2.51420i | −0.573107 | − | 0.101054i | −0.120419 | − | 0.992723i | \(-0.538424\pi\) |
−0.452688 | + | 0.891669i | \(0.649535\pi\) | |||||||
\(620\) | −21.5036 | − | 12.4151i | −0.863605 | − | 0.498602i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.17140i | 0.247451i | ||||||||
\(623\) | −9.56886 | − | 8.07176i | −0.383368 | − | 0.323388i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.6153 | − | 7.13939i | −0.784613 | − | 0.285576i | ||||
\(626\) | −22.6593 | − | 8.24731i | −0.905648 | − | 0.329629i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 13.3222 | + | 2.34907i | 0.531614 | + | 0.0937379i | ||||
\(629\) | −0.0390087 | + | 0.0675651i | −0.00155538 | + | 0.00269400i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.09835 | + | 5.36650i | 0.123343 | + | 0.213637i | 0.921084 | − | 0.389363i | \(-0.127305\pi\) |
−0.797741 | + | 0.603001i | \(0.793972\pi\) | |||||||
\(632\) | 8.99024 | + | 24.7005i | 0.357613 | + | 0.982533i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.55532 | − | 1.30507i | 0.0617698 | − | 0.0518310i | ||||
\(635\) | 4.51988 | + | 25.6335i | 0.179366 | + | 1.01724i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 29.0291 | + | 5.27454i | 1.15017 | + | 0.208985i | ||||
\(638\) | −4.29731 | + | 2.48105i | −0.170132 | + | 0.0982259i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −44.3791 | + | 25.6223i | −1.75424 | + | 1.01281i | ||||
\(641\) | −2.87706 | − | 7.90466i | −0.113637 | − | 0.312215i | 0.869817 | − | 0.493375i | \(-0.164237\pi\) |
−0.983454 | + | 0.181160i | \(0.942015\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.6614 | − | 2.23255i | 0.499317 | − | 0.0880430i | 0.0816827 | − | 0.996658i | \(-0.473971\pi\) |
0.417634 | + | 0.908615i | \(0.362859\pi\) | |||||||
\(644\) | −2.89323 | − | 3.46630i | −0.114009 | − | 0.136591i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −9.17397 | − | 7.69787i | −0.360945 | − | 0.302869i | ||||
\(647\) | −3.45841 | + | 5.99014i | −0.135964 | + | 0.235497i | −0.925965 | − | 0.377609i | \(-0.876747\pi\) |
0.790001 | + | 0.613105i | \(0.210080\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −27.2596 | + | 15.7383i | −1.07003 | + | 0.617784i | ||||
\(650\) | 63.7926 | − | 23.2186i | 2.50215 | − | 0.910708i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.35918 | − | 2.81869i | 0.131556 | − | 0.110388i | ||||
\(653\) | −4.91550 | − | 5.85806i | −0.192358 | − | 0.229244i | 0.661241 | − | 0.750173i | \(-0.270030\pi\) |
−0.853600 | + | 0.520930i | \(0.825585\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −72.4782 | + | 26.3799i | −2.83196 | + | 1.03075i | ||||
\(656\) | −15.7556 | −0.615151 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.122601 | − | 47.1108i | 0.00477948 | − | 1.83657i | ||||
\(659\) | 5.58789 | + | 0.985295i | 0.217673 | + | 0.0383817i | 0.281421 | − | 0.959584i | \(-0.409194\pi\) |
−0.0637479 | + | 0.997966i | \(0.520305\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 30.7788 | + | 36.6808i | 1.19716 | + | 1.42672i | 0.877763 | + | 0.479094i | \(0.159035\pi\) |
0.319394 | + | 0.947622i | \(0.396521\pi\) | |||||||
\(662\) | 21.8258 | + | 26.0110i | 0.848283 | + | 1.01094i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.07941 | − | 1.60094i | −0.352349 | − | 0.0621287i | ||||
\(665\) | −0.0598780 | + | 23.0088i | −0.00232197 | + | 0.892243i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.38373 | −0.0922983 | ||||||||
\(668\) | −5.81214 | + | 2.11545i | −0.224879 | + | 0.0818491i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −44.4242 | − | 52.9427i | −1.71626 | − | 2.04536i | ||||
\(671\) | 16.7800 | − | 14.0801i | 0.647787 | − | 0.543557i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −17.7107 | + | 6.44618i | −0.682699 | + | 0.248482i | −0.660006 | − | 0.751260i | \(-0.729446\pi\) |
−0.0226931 | + | 0.999742i | \(0.507224\pi\) | |||||||
\(674\) | −28.8168 | + | 16.6374i | −1.10998 | + | 0.640849i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.77729 | + | 3.07836i | −0.0683573 | + | 0.118398i | ||||
\(677\) | −9.98143 | − | 8.37542i | −0.383618 | − | 0.321893i | 0.430503 | − | 0.902589i | \(-0.358336\pi\) |
−0.814121 | + | 0.580696i | \(0.802781\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 22.4099 | + | 26.8487i | 0.860014 | + | 1.03036i | ||||
\(680\) | −25.0344 | + | 4.41424i | −0.960025 | + | 0.169278i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −14.1332 | − | 38.8306i | −0.541188 | − | 1.48690i | ||||
\(683\) | 35.9360 | − | 20.7476i | 1.37505 | − | 0.793886i | 0.383493 | − | 0.923544i | \(-0.374721\pi\) |
0.991559 | + | 0.129658i | \(0.0413878\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 62.2710 | − | 35.9522i | 2.37925 | − | 1.37366i | ||||
\(686\) | −10.2710 | − | 28.9198i | −0.392147 | − | 1.10416i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.545648 | + | 3.09452i | 0.0208026 | + | 0.117978i | ||||
\(689\) | 7.14662 | − | 5.99672i | 0.272264 | − | 0.228457i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.20345 | + | 6.05394i | 0.0838234 | + | 0.230303i | 0.974522 | − | 0.224291i | \(-0.0720066\pi\) |
−0.890699 | + | 0.454594i | \(0.849784\pi\) | |||||||
\(692\) | −7.28201 | − | 12.6128i | −0.276821 | − | 0.479467i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.522571 | − | 0.905120i | 0.0198365 | − | 0.0343579i | ||||
\(695\) | −49.9182 | − | 8.80193i | −1.89351 | − | 0.333876i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.56439 | − | 3.48115i | −0.362277 | − | 0.131858i | ||||
\(698\) | −2.65121 | − | 0.964963i | −0.100350 | − | 0.0365244i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −14.6619 | − | 12.3679i | −0.554167 | − | 0.467464i | ||||
\(701\) | 10.7905i | 0.407550i | 0.979018 | + | 0.203775i | \(0.0653211\pi\) | ||||
−0.979018 | + | 0.203775i | \(0.934679\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.0480348 | − | 0.0277329i | −0.00181167 | − | 0.00104597i | ||||
\(704\) | −9.07397 | − | 1.59999i | −0.341988 | − | 0.0603017i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 25.4661 | + | 30.3493i | 0.958428 | + | 1.14221i | ||||
\(707\) | −6.74125 | − | 2.47350i | −0.253531 | − | 0.0930255i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 8.07759 | − | 45.8103i | 0.303360 | − | 1.72044i | −0.327765 | − | 0.944759i | \(-0.606295\pi\) |
0.631125 | − | 0.775681i | \(-0.282594\pi\) | |||||||
\(710\) | −14.2639 | − | 24.7058i | −0.535315 | − | 0.927194i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.51553 | + | 4.91644i | 0.319133 | + | 0.184252i | ||||
\(713\) | 3.44706 | − | 19.5493i | 0.129093 | − | 0.732126i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 43.6740 | + | 15.8960i | 1.63332 | + | 0.594478i | ||||
\(716\) | 2.17721 | − | 0.383900i | 0.0813660 | − | 0.0143470i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −15.8823 | − | 13.3268i | −0.592722 | − | 0.497353i | ||||
\(719\) | 7.91160 | − | 13.7033i | 0.295053 | − | 0.511047i | −0.679944 | − | 0.733264i | \(-0.737996\pi\) |
0.974997 | + | 0.222217i | \(0.0713294\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0672258 | − | 25.8323i | 0.00250362 | − | 0.962045i | ||||
\(722\) | −14.7651 | + | 17.5964i | −0.549500 | + | 0.654869i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.49916 | + | 17.8563i | −0.241540 | + | 0.663624i | ||||
\(725\) | −9.97306 | + | 1.75852i | −0.370390 | + | 0.0653098i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.4600 | + | 31.4861i | 0.425028 | + | 1.16775i | 0.948795 | + | 0.315893i | \(0.102304\pi\) |
−0.523767 | + | 0.851862i | \(0.675474\pi\) | |||||||
\(728\) | −23.1744 | − | 0.0603089i | −0.858900 | − | 0.00223520i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 7.07427 | + | 12.2530i | 0.261831 | + | 0.453504i | ||||
\(731\) | −0.352493 | + | 1.99909i | −0.0130374 | + | 0.0739388i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 1.99386 | − | 5.47809i | 0.0736449 | − | 0.202338i | −0.897408 | − | 0.441201i | \(-0.854553\pi\) |
0.971053 | + | 0.238863i | \(0.0767748\pi\) | |||||||
\(734\) | 3.79329 | + | 21.5128i | 0.140013 | + | 0.794053i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.04927 | + | 5.91504i | 0.259839 | + | 0.218031i | ||||
\(737\) | − | 31.2435i | − | 1.15087i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −45.4032 | −1.67019 | −0.835093 | − | 0.550109i | \(-0.814586\pi\) | ||||
−0.835093 | + | 0.550109i | \(0.814586\pi\) | |||||||
\(740\) | 0.0658034 | − | 0.0239505i | 0.00241898 | − | 0.000880437i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −9.11010 | − | 3.34268i | −0.334442 | − | 0.122714i | ||||
\(743\) | −8.03623 | + | 22.0794i | −0.294821 | + | 0.810013i | 0.700524 | + | 0.713629i | \(0.252950\pi\) |
−0.995344 | + | 0.0963839i | \(0.969272\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −32.6013 | + | 38.8527i | −1.19442 | + | 1.42345i | ||||
\(746\) | − | 18.5599i | − | 0.679526i | ||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 5.91940 | + | 3.41757i | 0.216435 | + | 0.124959i | ||||
\(749\) | 36.7749 | + | 6.58314i | 1.34373 | + | 0.240543i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.6288 | − | 14.7923i | 0.643283 | − | 0.539779i | −0.261741 | − | 0.965138i | \(-0.584297\pi\) |
0.905024 | + | 0.425359i | \(0.139852\pi\) | |||||||
\(752\) | 9.20929 | + | 52.2285i | 0.335828 | + | 1.90458i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.67759 | − | 5.57454i | 0.170348 | − | 0.203013i | ||||
\(755\) | −48.1920 | −1.75389 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.0748603 | −0.00272084 | −0.00136042 | − | 0.999999i | \(-0.500433\pi\) | ||||
−0.00136042 | + | 0.999999i | \(0.500433\pi\) | |||||||
\(758\) | 6.65460 | − | 7.93065i | 0.241706 | − | 0.288054i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −3.13827 | − | 17.7980i | −0.113837 | − | 0.645601i | ||||
\(761\) | −2.28947 | + | 1.92109i | −0.0829931 | + | 0.0696395i | −0.683340 | − | 0.730100i | \(-0.739473\pi\) |
0.600347 | + | 0.799739i | \(0.295029\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 12.3878 | − | 4.47232i | 0.448469 | − | 0.161909i | ||||
\(764\) | 14.6451 | + | 8.45534i | 0.529840 | + | 0.305903i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 23.7606i | 0.858504i | ||||||||
\(767\) | 29.6719 | − | 35.3616i | 1.07139 | − | 1.27683i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.62460 | + | 15.4535i | −0.202828 | + | 0.557266i | −0.998847 | − | 0.0480060i | \(-0.984713\pi\) |
0.796019 | + | 0.605272i | \(0.206936\pi\) | |||||||
\(770\) | −8.27089 | − | 47.6311i | −0.298062 | − | 1.71650i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −10.4619 | + | 3.80782i | −0.376532 | + | 0.137046i | ||||
\(773\) | 39.0394 | 1.40415 | 0.702074 | − | 0.712104i | \(-0.252257\pi\) | ||||
0.702074 | + | 0.712104i | \(0.252257\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 84.3334i | − | 3.02934i | ||||||
\(776\) | −21.0427 | − | 17.6569i | −0.755388 | − | 0.633846i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 2.48453 | + | 14.0905i | 0.0890747 | + | 0.505168i | ||||
\(779\) | 2.47490 | − | 6.79972i | 0.0886723 | − | 0.243625i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.23947 | − | 12.7007i | 0.0801347 | − | 0.454467i | ||||
\(782\) | 6.04378 | + | 10.4681i | 0.216125 | + | 0.374340i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 17.1181 | + | 30.0090i | 0.611360 | + | 1.07175i | ||||
\(785\) | 23.7981 | + | 65.3847i | 0.849390 | + | 2.33368i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.74409 | − | 0.836511i | 0.169108 | − | 0.0298184i | −0.0884527 | − | 0.996080i | \(-0.528192\pi\) |
0.257561 | + | 0.966262i | \(0.417081\pi\) | |||||||
\(788\) | −4.86477 | + | 13.3658i | −0.173300 | + | 0.476139i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 51.6900 | − | 61.6018i | 1.83905 | − | 2.19169i | ||||
\(791\) | −18.3327 | − | 10.6481i | −0.651834 | − | 0.378602i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −16.0619 | + | 27.8201i | −0.570376 | + | 0.987920i | ||||
\(794\) | 0.00922671 | + | 0.00774213i | 0.000327444 | + | 0.000274758i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −4.26629 | + | 0.752263i | −0.151215 | + | 0.0266632i | ||||
\(797\) | 16.1079 | + | 5.86280i | 0.570572 | + | 0.207671i | 0.611163 | − | 0.791505i | \(-0.290702\pi\) |
−0.0405913 | + | 0.999176i | \(0.512924\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.94927 | + | 33.7400i | −0.210470 | + | 1.19364i | ||||
\(800\) | 33.8564 | + | 19.5470i | 1.19701 | + | 0.691091i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 12.5525 | + | 21.7416i | 0.443245 | + | 0.767723i | ||||
\(803\) | −1.11068 | + | 6.29898i | −0.0391950 | + | 0.222286i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.99974 | − | 21.8024i | 0.281954 | − | 0.768433i | ||||
\(806\) | 38.9533 | + | 46.4228i | 1.37207 | + | 1.63517i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 5.55447 | + | 0.979403i | 0.195406 | + | 0.0344553i | ||||
\(809\) | −1.45376 | − | 0.839326i | −0.0511113 | − | 0.0295091i | 0.474227 | − | 0.880403i | \(-0.342728\pi\) |
−0.525338 | + | 0.850894i | \(0.676061\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 24.2899i | 0.852933i | 0.904503 | + | 0.426467i | \(0.140242\pi\) | ||||
−0.904503 | + | 0.426467i | \(0.859758\pi\) | |||||||
\(812\) | −2.02399 | − | 0.362317i | −0.0710280 | − | 0.0127148i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.109511 | + | 0.0398587i | 0.00383835 | + | 0.00139705i | ||||
\(815\) | 21.1949 | + | 7.71430i | 0.742423 | + | 0.270220i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.42123 | − | 0.250602i | −0.0497226 | − | 0.00876744i | ||||
\(818\) | −8.48147 | + | 14.6903i | −0.296548 | + | 0.513636i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.56785 | + | 7.91175i | 0.159516 | + | 0.276290i | ||||
\(821\) | −0.666808 | − | 1.83204i | −0.0232718 | − | 0.0639386i | 0.927513 | − | 0.373791i | \(-0.121942\pi\) |
−0.950785 | + | 0.309853i | \(0.899720\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 21.0262 | − | 17.6431i | 0.732928 | − | 0.615000i | −0.198000 | − | 0.980202i | \(-0.563445\pi\) |
0.930928 | + | 0.365202i | \(0.119000\pi\) | |||||||
\(824\) | 3.52337 | + | 19.9820i | 0.122742 | + | 0.696107i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −47.2642 | − | 8.46083i | −1.64453 | − | 0.294390i | ||||
\(827\) | 39.0581 | − | 22.5502i | 1.35818 | − | 0.784147i | 0.368804 | − | 0.929507i | \(-0.379767\pi\) |
0.989379 | + | 0.145360i | \(0.0464340\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 31.0293 | − | 17.9148i | 1.07769 | − | 0.622207i | 0.147420 | − | 0.989074i | \(-0.452903\pi\) |
0.930273 | + | 0.366867i | \(0.119570\pi\) | |||||||
\(830\) | 9.64667 | + | 26.5040i | 0.334841 | + | 0.919967i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 13.3072 | − | 2.34641i | 0.461343 | − | 0.0813473i | ||||
\(833\) | 3.76108 | + | 21.9991i | 0.130314 | + | 0.762224i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −24.3708 | − | 20.4495i | −0.843386 | − | 0.707685i | ||||
\(836\) | −2.42969 | + | 4.20835i | −0.0840326 | + | 0.145549i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 57.2173 | − | 33.0344i | 1.97654 | − | 1.14115i | ||||
\(839\) | −30.2589 | + | 11.0133i | −1.04465 | + | 0.380222i | −0.806642 | − | 0.591040i | \(-0.798717\pi\) |
−0.238010 | + | 0.971263i | \(0.576495\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.3837 | − | 17.9431i | 0.737369 | − | 0.618726i | ||||
\(842\) | 23.4021 | + | 27.8895i | 0.806490 | + | 0.961137i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.728852 | − | 0.265281i | 0.0250881 | − | 0.00913133i | ||||
\(845\) | −18.2833 | −0.628963 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.64053 | + | 6.26785i | −0.125090 | + | 0.215366i | ||||
\(848\) | 10.7581 | + | 1.89694i | 0.369435 | + | 0.0651413i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 33.0086 | + | 39.3381i | 1.13218 | + | 1.34929i | ||||
\(851\) | 0.0359856 | + | 0.0428860i | 0.00123357 | + | 0.00147011i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −29.8196 | − | 5.25801i | −1.02100 | − | 0.180031i | −0.362007 | − | 0.932175i | \(-0.617908\pi\) |
−0.658998 | + | 0.752145i | \(0.729019\pi\) | |||||||
\(854\) | 33.4141 | + | 0.0869568i | 1.14341 | + | 0.00297560i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −29.3444 | −1.00297 | ||||||||
\(857\) | −43.6527 | + | 15.8883i | −1.49115 | + | 0.542734i | −0.953752 | − | 0.300596i | \(-0.902814\pi\) |
−0.537397 | + | 0.843329i | \(0.680592\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 29.6335 | + | 35.3158i | 1.01108 | + | 1.20496i | 0.978660 | + | 0.205487i | \(0.0658778\pi\) |
0.0324227 | + | 0.999474i | \(0.489678\pi\) | |||||||
\(860\) | 1.39574 | − | 1.17116i | 0.0475943 | − | 0.0399364i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −10.1037 | + | 3.67746i | −0.344135 | + | 0.125255i | ||||
\(863\) | 2.45633 | − | 1.41816i | 0.0836143 | − | 0.0482748i | −0.457610 | − | 0.889153i | \(-0.651294\pi\) |
0.541224 | + | 0.840878i | \(0.317961\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 37.4556 | − | 64.8750i | 1.27353 | − | 2.20582i | ||||
\(866\) | −1.88580 | − | 1.58237i | −0.0640819 | − | 0.0537711i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 5.89826 | − | 16.0751i | 0.200200 | − | 0.545623i | ||||
\(869\) | 35.8012 | − | 6.31272i | 1.21447 | − | 0.214144i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 15.6711 | + | 43.0560i | 0.530995 | + | 1.45890i | ||||
\(872\) | −8.95888 | + | 5.17241i | −0.303386 | + | 0.175160i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −7.44223 | + | 4.29678i | −0.251737 | + | 0.145341i | ||||
\(875\) | 8.44200 | − | 47.1590i | 0.285392 | − | 1.59426i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.55341 | − | 48.5088i | −0.288828 | − | 1.63803i | −0.691282 | − | 0.722585i | \(-0.742954\pi\) |
0.402454 | − | 0.915440i | \(-0.368157\pi\) | |||||||
\(878\) | −16.0053 | + | 13.4300i | −0.540151 | + | 0.453241i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 18.6134 | + | 51.1400i | 0.627459 | + | 1.72393i | ||||
\(881\) | 13.9157 | + | 24.1027i | 0.468833 | + | 0.812042i | 0.999365 | − | 0.0356225i | \(-0.0113414\pi\) |
−0.530533 | + | 0.847664i | \(0.678008\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 20.7815 | − | 35.9946i | 0.699354 | − | 1.21132i | −0.269337 | − | 0.963046i | \(-0.586805\pi\) |
0.968691 | − | 0.248270i | \(-0.0798621\pi\) | |||||||
\(884\) | −9.87159 | − | 1.74063i | −0.332017 | − | 0.0585436i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.42190 | − | 0.881500i | −0.0813654 | − | 0.0296146i | ||||
\(887\) | −24.9185 | − | 9.06959i | −0.836681 | − | 0.304527i | −0.112083 | − | 0.993699i | \(-0.535752\pi\) |
−0.724598 | + | 0.689172i | \(0.757974\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −16.8831 | + | 6.09523i | −0.566241 | + | 0.204427i | ||||
\(890\) | − | 30.0816i | − | 1.00834i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 4.97559 | + | 2.87266i | 0.166595 | + | 0.0961836i | ||||
\(893\) | −23.9872 | − | 4.22958i | −0.802700 | − | 0.141538i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.30939 | + | 8.71099i | 0.244326 | + | 0.291176i | ||||
\(896\) | −22.6446 | − | 27.1298i | −0.756502 | − | 0.906343i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.23380 | + | 6.99722i | −0.0411724 | + | 0.233500i | ||||
\(899\) | −4.52002 | − | 7.82890i | −0.150751 | − | 0.261108i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.11156 | + | 3.52851i | 0.203606 | + | 0.117552i | ||||
\(902\) | −2.64010 | + | 14.9728i | −0.0879058 | + | 0.498538i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 15.6480 | + | 5.69541i | 0.520445 | + | 0.189426i | ||||
\(905\) | −96.2548 | + | 16.9723i | −3.19962 | + | 0.564179i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −9.86503 | − | 8.27774i | −0.327563 | − | 0.274858i | 0.464143 | − | 0.885760i | \(-0.346362\pi\) |
−0.791706 | + | 0.610902i | \(0.790807\pi\) | |||||||
\(908\) | −1.20938 | + | 2.09471i | −0.0401348 | + | 0.0695155i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 35.2887 | + | 61.4909i | 1.16981 | + | 2.03840i | ||||
\(911\) | 1.43534 | − | 1.71057i | 0.0475550 | − | 0.0566738i | −0.741743 | − | 0.670685i | \(-0.766000\pi\) |
0.789298 | + | 0.614011i | \(0.210445\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4.36098 | + | 11.9817i | −0.144327 | + | 0.396536i | ||||
\(914\) | −24.7005 | + | 4.35537i | −0.817020 | + | 0.144063i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.57667 | + | 15.3218i | 0.184258 | + | 0.506245i | ||||
\(917\) | −26.4745 | − | 46.1320i | −0.874265 | − | 1.52341i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.06589 | − | 15.7026i | −0.299056 | − | 0.517980i | 0.676864 | − | 0.736108i | \(-0.263338\pi\) |
−0.975920 | + | 0.218128i | \(0.930005\pi\) | |||||||
\(920\) | −3.16756 | + | 17.9641i | −0.104431 | + | 0.592260i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.94909 | − | 10.8500i | 0.130056 | − | 0.357327i | ||||
\(923\) | 3.28424 | + | 18.6258i | 0.108102 | + | 0.613077i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.182195 | + | 0.152880i | 0.00599053 | + | 0.00502665i | ||||
\(926\) | − | 66.9281i | − | 2.19939i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 4.19065 | 0.137565 | ||||||||
\(929\) | −18.1050 | + | 6.58967i | −0.594005 | + | 0.216200i | −0.621490 | − | 0.783422i | \(-0.713472\pi\) |
0.0274852 | + | 0.999622i | \(0.491250\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −15.6401 | + | 2.67391i | −0.512583 | + | 0.0876339i | ||||
\(932\) | −2.37638 | + | 6.52906i | −0.0778410 | + | 0.213866i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 8.97897 | − | 10.7007i | 0.293801 | − | 0.350138i | ||||
\(935\) | 35.1570i | 1.14976i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −26.1439 | − | 15.0942i | −0.854085 | − | 0.493106i | 0.00794190 | − | 0.999968i | \(-0.497472\pi\) |
−0.862027 | + | 0.506862i | \(0.830805\pi\) | |||||||
\(938\) | 30.7300 | − | 36.4296i | 1.00337 | − | 1.18947i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 23.5569 | − | 19.7666i | 0.768341 | − | 0.644715i | ||||
\(941\) | −0.539980 | − | 3.06238i | −0.0176028 | − | 0.0998306i | 0.974741 | − | 0.223340i | \(-0.0716961\pi\) |
−0.992343 | + | 0.123510i | \(0.960585\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −4.69470 | + | 5.59493i | −0.152881 | + | 0.182196i | ||||
\(944\) | 54.0524 | 1.75926 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.03221 | 0.0985856 | ||||||||
\(947\) | 32.0105 | − | 38.1487i | 1.04020 | − | 1.23967i | 0.0699551 | − | 0.997550i | \(-0.477714\pi\) |
0.970248 | − | 0.242115i | \(-0.0778412\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.62884 | − | 9.23759i | −0.0528743 | − | 0.299865i | ||||
\(950\) | −27.9671 | + | 23.4672i | −0.907372 | + | 0.761375i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −5.95277 | − | 16.4885i | −0.192930 | − | 0.534395i | ||||
\(953\) | 24.6725 | + | 14.2447i | 0.799222 | + | 0.461431i | 0.843199 | − | 0.537602i | \(-0.180670\pi\) |
−0.0439773 | + | 0.999033i | \(0.514003\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 86.9814i | 2.81465i | ||||||||
\(956\) | 2.92823 | − | 3.48972i | 0.0947056 | − | 0.112866i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 13.0460 | − | 35.8436i | 0.421498 | − | 1.15806i | ||||
\(959\) | 31.7740 | + | 38.0675i | 1.02604 | + | 1.22926i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 41.6117 | − | 15.1454i | 1.34231 | − | 0.488562i | ||||
\(962\) | −0.170907 | −0.00551026 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | − | 0.248221i | − | 0.00799467i | ||||||
\(965\) | −43.8676 | − | 36.8093i | −1.41215 | − | 1.18493i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.546444 | + | 3.09904i | 0.0175725 | + | 0.0996584i | 0.992333 | − | 0.123597i | \(-0.0394429\pi\) |
−0.974760 | + | 0.223255i | \(0.928332\pi\) | |||||||
\(968\) | 1.94723 | − | 5.34998i | 0.0625864 | − | 0.171955i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −14.5927 | + | 82.7596i | −0.468545 | + | 2.65725i | ||||
\(971\) | 11.2478 | + | 19.4817i | 0.360958 | + | 0.625197i | 0.988119 | − | 0.153693i | \(-0.0491165\pi\) |
−0.627161 | + | 0.778890i | \(0.715783\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.0909659 | − | 34.9547i | 0.00291623 | − | 1.12060i | ||||
\(974\) | −14.9814 | − | 41.1610i | −0.480034 | − | 1.31888i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −37.0439 | + | 6.53184i | −1.18575 | + | 0.209079i | ||||
\(977\) | 15.2909 | − | 42.0113i | 0.489198 | − | 1.34406i | −0.412209 | − | 0.911089i | \(-0.635243\pi\) |
0.901407 | − | 0.432972i | \(-0.142535\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.74128 | − | 10.4175i | 0.279373 | − | 0.332943i | ||||
\(980\) | 10.1063 | − | 17.2962i | 0.322835 | − | 0.552506i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −10.8234 | + | 18.7467i | −0.345389 | + | 0.598231i | ||||
\(983\) | 0.625742 | + | 0.525060i | 0.0199581 | + | 0.0167468i | 0.652712 | − | 0.757606i | \(-0.273631\pi\) |
−0.632754 | + | 0.774353i | \(0.718076\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −72.0489 | + | 12.7042i | −2.29567 | + | 0.404788i | ||||
\(986\) | 5.17268 | + | 1.88270i | 0.164732 | + | 0.0599574i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.23748 | − | 7.01812i | 0.0393696 | − | 0.223276i | ||||
\(989\) | 1.26148 | + | 0.728315i | 0.0401127 | + | 0.0231591i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5.41879 | + | 9.38562i | 0.172134 | + | 0.298144i | 0.939166 | − | 0.343465i | \(-0.111601\pi\) |
−0.767032 | + | 0.641609i | \(0.778267\pi\) | |||||||
\(992\) | −6.06001 | + | 34.3681i | −0.192406 | + | 1.09119i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 15.1032 | − | 12.6062i | 0.479044 | − | 0.399845i | ||||
\(995\) | −14.3229 | − | 17.0694i | −0.454068 | − | 0.541137i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 50.1411 | + | 8.84122i | 1.58798 | + | 0.280004i | 0.896720 | − | 0.442598i | \(-0.145943\pi\) |
0.691264 | + | 0.722603i | \(0.257054\pi\) | |||||||
\(998\) | −37.1151 | − | 21.4284i | −1.17486 | − | 0.678305i | ||||
\(999\) | 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 | 567.2.ba.a.143.5 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.18 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.18 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.5 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.5 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.18 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.5 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.18 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.18 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.18 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.5 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.5 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.5 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.5 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.18 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.18 | 132 | 7.5 | odd | 6 |