Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(17,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.f (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: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 35.6 | ||
Character | \(\chi\) | \(=\) | 162.35 |
Dual form | 162.3.f.a.125.6 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.909039 | − | 1.08335i | 0.454519 | − | 0.541675i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.347296 | − | 1.96962i | −0.0868241 | − | 0.492404i | ||||
\(5\) | 1.54033 | − | 4.23203i | 0.308066 | − | 0.846406i | −0.684967 | − | 0.728574i | \(-0.740183\pi\) |
0.993034 | − | 0.117832i | \(-0.0375943\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.223815 | − | 1.26932i | 0.0319735 | − | 0.181331i | −0.964639 | − | 0.263576i | \(-0.915098\pi\) |
0.996612 | + | 0.0822453i | \(0.0262091\pi\) | |||||||
\(8\) | −2.44949 | − | 1.41421i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.18455 | − | 5.51580i | −0.318455 | − | 0.551580i | ||||
\(11\) | −2.33433 | − | 6.41353i | −0.212212 | − | 0.583048i | 0.787223 | − | 0.616669i | \(-0.211518\pi\) |
−0.999435 | + | 0.0336211i | \(0.989296\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 8.48521 | − | 7.11994i | 0.652709 | − | 0.547688i | −0.255183 | − | 0.966893i | \(-0.582136\pi\) |
0.907892 | + | 0.419205i | \(0.137691\pi\) | |||||||
\(14\) | −1.17166 | − | 1.39633i | −0.0836898 | − | 0.0997377i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.75877 | + | 1.36808i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −24.1831 | + | 13.9621i | −1.42254 | + | 0.821303i | −0.996515 | − | 0.0834096i | \(-0.973419\pi\) |
−0.426023 | + | 0.904712i | \(0.640086\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 14.5238 | − | 25.1559i | 0.764408 | − | 1.32399i | −0.176151 | − | 0.984363i | \(-0.556365\pi\) |
0.940559 | − | 0.339630i | \(-0.110302\pi\) | |||||||
\(20\) | −8.87042 | − | 1.56409i | −0.443521 | − | 0.0782047i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −9.07010 | − | 3.30125i | −0.412277 | − | 0.150057i | ||||
\(23\) | 29.2129 | − | 5.15103i | 1.27013 | − | 0.223958i | 0.502344 | − | 0.864668i | \(-0.332471\pi\) |
0.767783 | + | 0.640710i | \(0.221360\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.61368 | + | 3.03223i | 0.144547 | + | 0.121289i | ||||
\(26\) | − | 15.6648i | − | 0.602491i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.57779 | −0.0920641 | ||||||||
\(29\) | −9.87390 | + | 11.7673i | −0.340479 | + | 0.405767i | −0.908929 | − | 0.416951i | \(-0.863099\pi\) |
0.568450 | + | 0.822718i | \(0.307543\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.09047 | + | 45.8833i | 0.260983 | + | 1.48011i | 0.780235 | + | 0.625487i | \(0.215100\pi\) |
−0.519252 | + | 0.854621i | \(0.673789\pi\) | |||||||
\(32\) | −1.93476 | + | 5.31570i | −0.0604612 | + | 0.166116i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −6.85753 | + | 38.8910i | −0.201692 | + | 1.14385i | ||||
\(35\) | −5.02703 | − | 2.90236i | −0.143629 | − | 0.0829245i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.62043 | − | 11.4669i | −0.178931 | − | 0.309917i | 0.762584 | − | 0.646889i | \(-0.223930\pi\) |
−0.941515 | + | 0.336972i | \(0.890597\pi\) | |||||||
\(38\) | −14.0500 | − | 38.6020i | −0.369736 | − | 1.01584i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −9.75802 | + | 8.18795i | −0.243950 | + | 0.204699i | ||||
\(41\) | 27.2051 | + | 32.4217i | 0.663538 | + | 0.790774i | 0.987889 | − | 0.155163i | \(-0.0495903\pi\) |
−0.324351 | + | 0.945937i | \(0.605146\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −48.0441 | + | 17.4866i | −1.11730 | + | 0.406665i | −0.833668 | − | 0.552267i | \(-0.813763\pi\) |
−0.283636 | + | 0.958932i | \(0.591541\pi\) | |||||||
\(44\) | −11.8215 | + | 6.82513i | −0.268670 | + | 0.155117i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 20.9753 | − | 36.3303i | 0.455985 | − | 0.789790i | ||||
\(47\) | 57.3481 | + | 10.1120i | 1.22017 | + | 0.215149i | 0.746399 | − | 0.665498i | \(-0.231781\pi\) |
0.473772 | + | 0.880647i | \(0.342892\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 44.4839 | + | 16.1908i | 0.907834 | + | 0.330425i | ||||
\(50\) | 6.56995 | − | 1.15846i | 0.131399 | − | 0.0231692i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −16.9704 | − | 14.2399i | −0.326354 | − | 0.273844i | ||||
\(53\) | 72.9927i | 1.37722i | 0.725131 | + | 0.688611i | \(0.241779\pi\) | ||||
−0.725131 | + | 0.688611i | \(0.758221\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −30.7379 | −0.558870 | ||||||||
\(56\) | −2.34332 | + | 2.79265i | −0.0418449 | + | 0.0498688i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.77230 | + | 21.3938i | 0.0650397 | + | 0.368858i | ||||
\(59\) | 10.4251 | − | 28.6427i | 0.176697 | − | 0.485470i | −0.819452 | − | 0.573148i | \(-0.805722\pi\) |
0.996149 | + | 0.0876773i | \(0.0279444\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.62991 | − | 14.9150i | 0.0431133 | − | 0.244508i | −0.955633 | − | 0.294559i | \(-0.904827\pi\) |
0.998747 | + | 0.0500511i | \(0.0159384\pi\) | |||||||
\(62\) | 57.0623 | + | 32.9449i | 0.920360 | + | 0.531370i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | + | 6.92820i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −17.0617 | − | 46.8767i | −0.262488 | − | 0.721180i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 86.2916 | − | 72.4073i | 1.28793 | − | 1.08071i | 0.295837 | − | 0.955239i | \(-0.404402\pi\) |
0.992098 | − | 0.125467i | \(-0.0400428\pi\) | |||||||
\(68\) | 35.8988 | + | 42.7825i | 0.527923 | + | 0.629154i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −7.71404 | + | 2.80768i | −0.110201 | + | 0.0401097i | ||||
\(71\) | −7.53244 | + | 4.34886i | −0.106091 | + | 0.0612515i | −0.552107 | − | 0.833774i | \(-0.686176\pi\) |
0.446016 | + | 0.895025i | \(0.352843\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −52.2695 | + | 90.5334i | −0.716020 | + | 1.24018i | 0.246544 | + | 0.969132i | \(0.420705\pi\) |
−0.962565 | + | 0.271052i | \(0.912628\pi\) | |||||||
\(74\) | −18.4409 | − | 3.25163i | −0.249202 | − | 0.0439410i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −54.5914 | − | 19.8697i | −0.718308 | − | 0.261443i | ||||
\(77\) | −8.66325 | + | 1.52756i | −0.112510 | + | 0.0198385i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −46.1874 | − | 38.7558i | −0.584650 | − | 0.490580i | 0.301820 | − | 0.953365i | \(-0.402406\pi\) |
−0.886471 | + | 0.462785i | \(0.846850\pi\) | |||||||
\(80\) | 18.0145i | 0.225181i | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 59.8545 | 0.729933 | ||||||||
\(83\) | 17.6633 | − | 21.0502i | 0.212810 | − | 0.253617i | −0.649071 | − | 0.760728i | \(-0.724842\pi\) |
0.861881 | + | 0.507111i | \(0.169286\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 21.8381 | + | 123.850i | 0.256919 | + | 1.45706i | ||||
\(86\) | −24.7298 | + | 67.9446i | −0.287556 | + | 0.790053i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.35217 | + | 19.0111i | −0.0380929 | + | 0.216035i | ||||
\(89\) | −106.619 | − | 61.5564i | −1.19796 | − | 0.691645i | −0.237863 | − | 0.971299i | \(-0.576447\pi\) |
−0.960101 | + | 0.279654i | \(0.909780\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.13834 | − | 12.3640i | −0.0784433 | − | 0.135868i | ||||
\(92\) | −20.2911 | − | 55.7493i | −0.220555 | − | 0.605971i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 63.0865 | − | 52.9358i | 0.671133 | − | 0.563147i | ||||
\(95\) | −84.0890 | − | 100.213i | −0.885147 | − | 1.05488i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 40.5097 | − | 14.7443i | 0.417626 | − | 0.152003i | −0.124656 | − | 0.992200i | \(-0.539783\pi\) |
0.542282 | + | 0.840197i | \(0.317560\pi\) | |||||||
\(98\) | 57.9779 | − | 33.4735i | 0.591611 | − | 0.341567i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.71732 | − | 8.17064i | 0.0471732 | − | 0.0817064i | ||||
\(101\) | −35.2224 | − | 6.21065i | −0.348736 | − | 0.0614916i | −0.00346349 | − | 0.999994i | \(-0.501102\pi\) |
−0.345273 | + | 0.938502i | \(0.612214\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −149.691 | − | 54.4832i | −1.45331 | − | 0.528963i | −0.509799 | − | 0.860294i | \(-0.670280\pi\) |
−0.943515 | + | 0.331331i | \(0.892502\pi\) | |||||||
\(104\) | −30.8536 | + | 5.44031i | −0.296669 | + | 0.0523107i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 79.0767 | + | 66.3532i | 0.746007 | + | 0.625974i | ||||
\(107\) | 0.912530i | 0.00852832i | 0.999991 | + | 0.00426416i | \(0.00135733\pi\) | ||||
−0.999991 | + | 0.00426416i | \(0.998643\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −58.9907 | −0.541199 | −0.270600 | − | 0.962692i | \(-0.587222\pi\) | ||||
−0.270600 | + | 0.962692i | \(0.587222\pi\) | |||||||
\(110\) | −27.9419 | + | 33.2999i | −0.254017 | + | 0.302726i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.895259 | + | 5.07726i | 0.00799338 | + | 0.0453327i | ||||
\(113\) | 8.75370 | − | 24.0506i | 0.0774664 | − | 0.212837i | −0.894914 | − | 0.446238i | \(-0.852763\pi\) |
0.972381 | + | 0.233401i | \(0.0749855\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 23.1983 | − | 131.564i | 0.201725 | − | 1.14404i | ||||
\(116\) | 26.6061 | + | 15.3611i | 0.229363 | + | 0.132423i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −21.5533 | − | 37.3314i | −0.182655 | − | 0.316368i | ||||
\(119\) | 12.3098 | + | 33.8210i | 0.103444 | + | 0.284210i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 57.0072 | − | 47.8347i | 0.471134 | − | 0.395328i | ||||
\(122\) | −13.7675 | − | 16.4074i | −0.112848 | − | 0.134487i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 87.5628 | − | 31.8702i | 0.706151 | − | 0.257018i | ||||
\(125\) | 115.905 | − | 66.9179i | 0.927242 | − | 0.535343i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 23.0881 | − | 39.9898i | 0.181796 | − | 0.314880i | −0.760696 | − | 0.649108i | \(-0.775142\pi\) |
0.942492 | + | 0.334228i | \(0.108476\pi\) | |||||||
\(128\) | 11.1418 | + | 1.96460i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −66.2937 | − | 24.1289i | −0.509952 | − | 0.185607i | ||||
\(131\) | −28.0845 | + | 4.95206i | −0.214385 | + | 0.0378019i | −0.279809 | − | 0.960056i | \(-0.590271\pi\) |
0.0654237 | + | 0.997858i | \(0.479160\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −28.6801 | − | 24.0655i | −0.215640 | − | 0.180943i | ||||
\(134\) | − | 159.305i | − | 1.18884i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 78.9818 | 0.580749 | ||||||||
\(137\) | −98.9043 | + | 117.870i | −0.721929 | + | 0.860361i | −0.994817 | − | 0.101684i | \(-0.967577\pi\) |
0.272888 | + | 0.962046i | \(0.412021\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.50882 | − | 25.5708i | −0.0324376 | − | 0.183963i | 0.964284 | − | 0.264870i | \(-0.0853292\pi\) |
−0.996722 | + | 0.0809078i | \(0.974218\pi\) | |||||||
\(140\) | −3.97066 | + | 10.9093i | −0.0283619 | + | 0.0779236i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.13595 | + | 12.1136i | −0.0150419 | + | 0.0853067i | ||||
\(143\) | −65.4712 | − | 37.7998i | −0.457841 | − | 0.264335i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 34.5903 | + | 59.9121i | 0.238553 | + | 0.413187i | ||||
\(146\) | 50.5644 | + | 138.925i | 0.346332 | + | 0.951538i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −20.2862 | + | 17.0221i | −0.137069 | + | 0.115014i | ||||
\(149\) | −34.3423 | − | 40.9276i | −0.230485 | − | 0.274682i | 0.638390 | − | 0.769713i | \(-0.279601\pi\) |
−0.868875 | + | 0.495032i | \(0.835156\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 81.4813 | − | 29.6568i | 0.539611 | − | 0.196403i | −0.0578134 | − | 0.998327i | \(-0.518413\pi\) |
0.597425 | + | 0.801925i | \(0.296191\pi\) | |||||||
\(152\) | −71.1516 | + | 41.0794i | −0.468102 | + | 0.270259i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.22034 | + | 10.7740i | −0.0403918 | + | 0.0699607i | ||||
\(155\) | 206.642 | + | 36.4365i | 1.33317 | + | 0.235074i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −197.751 | − | 71.9753i | −1.25956 | − | 0.458442i | −0.375937 | − | 0.926645i | \(-0.622679\pi\) |
−0.883621 | + | 0.468204i | \(0.844901\pi\) | |||||||
\(158\) | −83.9722 | + | 14.8066i | −0.531470 | + | 0.0937125i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 19.5160 | + | 16.3759i | 0.121975 | + | 0.102349i | ||||
\(161\) | − | 38.2333i | − | 0.237474i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 95.6406 | 0.586752 | 0.293376 | − | 0.955997i | \(-0.405221\pi\) | ||||
0.293376 | + | 0.955997i | \(0.405221\pi\) | |||||||
\(164\) | 54.4101 | − | 64.8434i | 0.331769 | − | 0.395387i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.74821 | − | 38.2710i | −0.0406519 | − | 0.230548i | ||||
\(167\) | 33.2406 | − | 91.3278i | 0.199045 | − | 0.546873i | −0.799507 | − | 0.600657i | \(-0.794906\pi\) |
0.998553 | + | 0.0537837i | \(0.0171282\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.04123 | + | 45.6041i | −0.0475813 | + | 0.269847i | ||||
\(170\) | 154.025 | + | 88.9262i | 0.906028 | + | 0.523095i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 51.1274 | + | 88.5553i | 0.297252 | + | 0.514856i | ||||
\(173\) | 94.9645 | + | 260.913i | 0.548928 | + | 1.50817i | 0.835160 | + | 0.550007i | \(0.185375\pi\) |
−0.286232 | + | 0.958160i | \(0.592403\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.65766 | − | 3.90824i | 0.0266152 | − | 0.0223328i | ||||
\(176\) | 17.5484 | + | 20.9134i | 0.0997071 | + | 0.118826i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −163.608 | + | 59.5483i | −0.919144 | + | 0.334541i | ||||
\(179\) | 66.4554 | − | 38.3680i | 0.371259 | − | 0.214347i | −0.302749 | − | 0.953070i | \(-0.597904\pi\) |
0.674008 | + | 0.738724i | \(0.264571\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −142.550 | + | 246.903i | −0.787567 | + | 1.36411i | 0.139887 | + | 0.990167i | \(0.455326\pi\) |
−0.927454 | + | 0.373938i | \(0.878007\pi\) | |||||||
\(182\) | −19.8835 | − | 3.50600i | −0.109250 | − | 0.0192638i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −78.8414 | − | 28.6959i | −0.428486 | − | 0.155956i | ||||
\(185\) | −58.7260 | + | 10.3550i | −0.317438 | + | 0.0559729i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 145.998 | + | 122.507i | 0.780739 | + | 0.655118i | ||||
\(188\) | − | 116.466i | − | 0.619497i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −185.006 | −0.973717 | ||||||||
\(191\) | 40.8397 | − | 48.6709i | 0.213821 | − | 0.254821i | −0.648464 | − | 0.761245i | \(-0.724588\pi\) |
0.862285 | + | 0.506424i | \(0.169033\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 46.9353 | + | 266.184i | 0.243188 | + | 1.37919i | 0.824663 | + | 0.565625i | \(0.191365\pi\) |
−0.581475 | + | 0.813565i | \(0.697524\pi\) | |||||||
\(194\) | 20.8516 | − | 57.2894i | 0.107483 | − | 0.295306i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 16.4406 | − | 93.2391i | 0.0838805 | − | 0.475710i | ||||
\(197\) | 46.6888 | + | 26.9558i | 0.236999 | + | 0.136831i | 0.613797 | − | 0.789464i | \(-0.289641\pi\) |
−0.376798 | + | 0.926296i | \(0.622975\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 67.4909 | + | 116.898i | 0.339150 | + | 0.587425i | 0.984273 | − | 0.176654i | \(-0.0565272\pi\) |
−0.645123 | + | 0.764079i | \(0.723194\pi\) | |||||||
\(200\) | −4.56344 | − | 12.5379i | −0.0228172 | − | 0.0626897i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −38.7468 | + | 32.5124i | −0.191816 | + | 0.160953i | ||||
\(203\) | 12.7264 | + | 15.1668i | 0.0626918 | + | 0.0747132i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 179.114 | − | 65.1923i | 0.873729 | − | 0.318011i | ||||
\(206\) | −195.100 | + | 112.641i | −0.947086 | + | 0.546800i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −22.1533 | + | 38.3707i | −0.106506 | + | 0.184474i | ||||
\(209\) | −195.241 | − | 34.4263i | −0.934168 | − | 0.164719i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −188.073 | − | 68.4530i | −0.891341 | − | 0.324422i | −0.144564 | − | 0.989496i | \(-0.546178\pi\) |
−0.746778 | + | 0.665074i | \(0.768400\pi\) | |||||||
\(212\) | 143.768 | − | 25.3501i | 0.678149 | − | 0.119576i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.988590 | + | 0.829525i | 0.00461958 | + | 0.00387629i | ||||
\(215\) | 230.259i | 1.07097i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 60.0512 | 0.276734 | ||||||||
\(218\) | −53.6248 | + | 63.9076i | −0.245986 | + | 0.293154i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.6751 | + | 60.5418i | 0.0485234 | + | 0.275190i | ||||
\(221\) | −105.790 | + | 290.654i | −0.478686 | + | 1.31518i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −63.4683 | + | 359.947i | −0.284611 | + | 1.61411i | 0.422059 | + | 0.906568i | \(0.361307\pi\) |
−0.706671 | + | 0.707543i | \(0.749804\pi\) | |||||||
\(224\) | 6.31428 | + | 3.64555i | 0.0281888 | + | 0.0162748i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −18.0978 | − | 31.3463i | −0.0800787 | − | 0.138700i | ||||
\(227\) | 57.2400 | + | 157.266i | 0.252158 | + | 0.692800i | 0.999595 | + | 0.0284662i | \(0.00906230\pi\) |
−0.747436 | + | 0.664334i | \(0.768715\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 124.355 | − | 104.346i | 0.543036 | − | 0.455661i | −0.329539 | − | 0.944142i | \(-0.606893\pi\) |
0.872575 | + | 0.488481i | \(0.162449\pi\) | |||||||
\(230\) | −121.442 | − | 144.729i | −0.528009 | − | 0.629256i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 40.8274 | − | 14.8600i | 0.175980 | − | 0.0640516i | ||||
\(233\) | 159.193 | − | 91.9104i | 0.683234 | − | 0.394465i | −0.117839 | − | 0.993033i | \(-0.537597\pi\) |
0.801072 | + | 0.598568i | \(0.204263\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 131.129 | − | 227.123i | 0.557997 | − | 0.966480i | ||||
\(236\) | −60.0358 | − | 10.5859i | −0.254389 | − | 0.0448556i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 47.8301 | + | 17.4087i | 0.200967 | + | 0.0731459i | ||||
\(239\) | 42.5536 | − | 7.50334i | 0.178048 | − | 0.0313947i | −0.0839130 | − | 0.996473i | \(-0.526742\pi\) |
0.261961 | + | 0.965078i | \(0.415631\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −49.8948 | − | 41.8667i | −0.207032 | − | 0.173721i | 0.533376 | − | 0.845879i | \(-0.320923\pi\) |
−0.740408 | + | 0.672158i | \(0.765368\pi\) | |||||||
\(242\) | − | 105.242i | − | 0.434886i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −30.2901 | −0.124140 | ||||||||
\(245\) | 137.040 | − | 163.318i | 0.559346 | − | 0.666603i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −55.8712 | − | 316.861i | −0.226199 | − | 1.28284i | ||||
\(248\) | 45.0713 | − | 123.832i | 0.181739 | − | 0.499324i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 32.8668 | − | 186.397i | 0.131467 | − | 0.745588i | ||||
\(251\) | 14.3446 | + | 8.28183i | 0.0571496 | + | 0.0329953i | 0.528303 | − | 0.849056i | \(-0.322829\pi\) |
−0.471153 | + | 0.882052i | \(0.656162\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −101.229 | − | 175.334i | −0.400114 | − | 0.693019i | ||||
\(254\) | −22.3350 | − | 61.3648i | −0.0879329 | − | 0.241594i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 12.2567 | − | 10.2846i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 260.890 | + | 310.917i | 1.01514 | + | 1.20979i | 0.977594 | + | 0.210499i | \(0.0675090\pi\) |
0.0375440 | + | 0.999295i | \(0.488047\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −16.0369 | + | 5.83696i | −0.0619186 | + | 0.0225365i | ||||
\(260\) | −86.4037 | + | 49.8852i | −0.332322 | + | 0.191866i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −20.1651 | + | 34.9270i | −0.0769660 | + | 0.133309i | ||||
\(263\) | −304.273 | − | 53.6515i | −1.15693 | − | 0.203998i | −0.437931 | − | 0.899008i | \(-0.644289\pi\) |
−0.719000 | + | 0.695010i | \(0.755400\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 308.907 | + | 112.433i | 1.16569 | + | 0.424276i | ||||
\(266\) | −52.1427 | + | 9.19417i | −0.196025 | + | 0.0345645i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −172.583 | − | 144.815i | −0.643967 | − | 0.540353i | ||||
\(269\) | − | 243.504i | − | 0.905221i | −0.891708 | − | 0.452611i | \(-0.850493\pi\) | ||
0.891708 | − | 0.452611i | \(-0.149507\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −138.215 | −0.510018 | −0.255009 | − | 0.966939i | \(-0.582078\pi\) | ||||
−0.255009 | + | 0.966939i | \(0.582078\pi\) | |||||||
\(272\) | 71.7976 | − | 85.5650i | 0.263962 | − | 0.314577i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 37.7862 | + | 214.296i | 0.137906 | + | 0.782102i | ||||
\(275\) | 11.0118 | − | 30.2547i | 0.0400429 | − | 0.110017i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 72.4801 | − | 411.055i | 0.261661 | − | 1.48395i | −0.516716 | − | 0.856157i | \(-0.672846\pi\) |
0.778377 | − | 0.627797i | \(-0.216043\pi\) | |||||||
\(278\) | −31.8008 | − | 18.3602i | −0.114392 | − | 0.0660440i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 8.20911 | + | 14.2186i | 0.0293182 | + | 0.0507807i | ||||
\(281\) | −133.507 | − | 366.807i | −0.475114 | − | 1.30536i | −0.913596 | − | 0.406624i | \(-0.866706\pi\) |
0.438482 | − | 0.898740i | \(-0.355516\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −10.0486 | + | 8.43181i | −0.0355076 | + | 0.0297944i | −0.660369 | − | 0.750941i | \(-0.729600\pi\) |
0.624861 | + | 0.780736i | \(0.285156\pi\) | |||||||
\(284\) | 11.1816 | + | 13.3257i | 0.0393717 | + | 0.0469214i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −100.466 | + | 36.5668i | −0.351281 | + | 0.127856i | ||||
\(287\) | 47.2423 | − | 27.2754i | 0.164607 | − | 0.0950361i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 245.383 | − | 425.016i | 0.849077 | − | 1.47064i | ||||
\(290\) | 96.3497 | + | 16.9890i | 0.332240 | + | 0.0585829i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 196.469 | + | 71.5089i | 0.672839 | + | 0.244893i | ||||
\(293\) | −162.152 | + | 28.5919i | −0.553421 | + | 0.0975831i | −0.443363 | − | 0.896342i | \(-0.646215\pi\) |
−0.110058 | + | 0.993925i | \(0.535104\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −105.159 | − | 88.2387i | −0.356470 | − | 0.299114i | ||||
\(296\) | 37.4508i | 0.126523i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −75.5574 | −0.253548 | ||||||||
\(299\) | 211.203 | − | 251.702i | 0.706364 | − | 0.841812i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 11.4431 | + | 64.8969i | 0.0380168 | + | 0.215604i | ||||
\(302\) | 41.9410 | − | 115.232i | 0.138878 | − | 0.381563i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −20.1762 | + | 114.425i | −0.0663690 | + | 0.376397i | ||||
\(305\) | −59.0696 | − | 34.1039i | −0.193671 | − | 0.111816i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 97.0102 | + | 168.027i | 0.315994 | + | 0.547318i | 0.979648 | − | 0.200722i | \(-0.0643287\pi\) |
−0.663654 | + | 0.748039i | \(0.730995\pi\) | |||||||
\(308\) | 6.01743 | + | 16.5328i | 0.0195371 | + | 0.0536778i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 227.319 | − | 190.743i | 0.733286 | − | 0.615300i | ||||
\(311\) | −236.947 | − | 282.383i | −0.761888 | − | 0.907983i | 0.236077 | − | 0.971734i | \(-0.424138\pi\) |
−0.997966 | + | 0.0637510i | \(0.979694\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −408.961 | + | 148.850i | −1.30658 | + | 0.475558i | −0.899136 | − | 0.437670i | \(-0.855804\pi\) |
−0.407449 | + | 0.913228i | \(0.633581\pi\) | |||||||
\(314\) | −257.737 | + | 148.805i | −0.820820 | + | 0.473901i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −60.2933 | + | 104.431i | −0.190802 | + | 0.330478i | ||||
\(317\) | −240.306 | − | 42.3725i | −0.758064 | − | 0.133667i | −0.218761 | − | 0.975779i | \(-0.570201\pi\) |
−0.539304 | + | 0.842111i | \(0.681312\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 98.5185 | + | 35.8578i | 0.308836 | + | 0.112407i | ||||
\(320\) | 35.4817 | − | 6.25638i | 0.110880 | − | 0.0195512i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −41.4201 | − | 34.7556i | −0.128634 | − | 0.107937i | ||||
\(323\) | 811.131i | 2.51124i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 52.2522 | 0.160776 | ||||||||
\(326\) | 86.9410 | − | 103.612i | 0.266690 | − | 0.317829i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −20.7873 | − | 117.890i | −0.0633758 | − | 0.359422i | ||||
\(329\) | 25.6707 | − | 70.5296i | 0.0780264 | − | 0.214376i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −73.7627 | + | 418.329i | −0.222848 | + | 1.26383i | 0.643908 | + | 0.765103i | \(0.277312\pi\) |
−0.866757 | + | 0.498732i | \(0.833799\pi\) | |||||||
\(332\) | −47.5953 | − | 27.4791i | −0.143359 | − | 0.0827685i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −68.7230 | − | 119.032i | −0.205757 | − | 0.356382i | ||||
\(335\) | −173.512 | − | 476.720i | −0.517946 | − | 1.42304i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −115.028 | + | 96.5199i | −0.341329 | + | 0.286409i | −0.797297 | − | 0.603587i | \(-0.793738\pi\) |
0.455968 | + | 0.889996i | \(0.349293\pi\) | |||||||
\(338\) | 42.0954 | + | 50.1674i | 0.124543 | + | 0.148424i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 236.353 | − | 86.0254i | 0.695155 | − | 0.253016i | ||||
\(341\) | 275.388 | − | 158.995i | 0.807590 | − | 0.466262i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 62.0854 | − | 107.535i | 0.181007 | − | 0.313513i | ||||
\(344\) | 142.413 | + | 25.1113i | 0.413992 | + | 0.0729980i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 368.987 | + | 134.300i | 1.06644 | + | 0.388151i | ||||
\(347\) | 230.409 | − | 40.6273i | 0.664003 | − | 0.117082i | 0.168518 | − | 0.985698i | \(-0.446102\pi\) |
0.495484 | + | 0.868617i | \(0.334991\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −11.6765 | − | 9.79778i | −0.0334571 | − | 0.0280739i | 0.625906 | − | 0.779899i | \(-0.284729\pi\) |
−0.659363 | + | 0.751825i | \(0.729174\pi\) | |||||||
\(350\) | − | 8.59862i | − | 0.0245675i | ||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 38.6088 | 0.109684 | ||||||||
\(353\) | −152.164 | + | 181.341i | −0.431058 | + | 0.513715i | −0.937227 | − | 0.348719i | \(-0.886617\pi\) |
0.506169 | + | 0.862434i | \(0.331061\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 6.80202 | + | 38.5762i | 0.0191606 | + | 0.108665i | ||||
\(356\) | −84.2141 | + | 231.376i | −0.236556 | + | 0.649933i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 18.8445 | − | 106.873i | 0.0526383 | − | 0.298527i | ||||
\(359\) | −486.522 | − | 280.894i | −1.35521 | − | 0.782433i | −0.366240 | − | 0.930520i | \(-0.619355\pi\) |
−0.988974 | + | 0.148087i | \(0.952688\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −241.379 | − | 418.080i | −0.668639 | − | 1.15812i | ||||
\(362\) | 137.899 | + | 378.876i | 0.380938 | + | 1.04662i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −21.8731 | + | 18.3537i | −0.0600910 | + | 0.0504224i | ||||
\(365\) | 302.627 | + | 360.657i | 0.829116 | + | 0.988102i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −538.579 | + | 196.027i | −1.46752 | + | 0.534133i | −0.947426 | − | 0.319976i | \(-0.896325\pi\) |
−0.520093 | + | 0.854109i | \(0.674103\pi\) | |||||||
\(368\) | −102.758 | + | 59.3272i | −0.279233 | + | 0.161215i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −42.1662 | + | 73.0340i | −0.113963 | + | 0.197389i | ||||
\(371\) | 92.6508 | + | 16.3368i | 0.249733 | + | 0.0440346i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 355.729 | + | 129.475i | 0.953696 | + | 0.347117i | 0.771560 | − | 0.636156i | \(-0.219477\pi\) |
0.182136 | + | 0.983273i | \(0.441699\pi\) | |||||||
\(374\) | 265.436 | − | 46.8035i | 0.709722 | − | 0.125143i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −126.173 | − | 105.872i | −0.335566 | − | 0.281574i | ||||
\(377\) | 170.149i | 0.451324i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 424.202 | 1.11927 | 0.559633 | − | 0.828741i | \(-0.310942\pi\) | ||||
0.559633 | + | 0.828741i | \(0.310942\pi\) | |||||||
\(380\) | −168.178 | + | 200.427i | −0.442573 | + | 0.527438i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −15.6027 | − | 88.4875i | −0.0408448 | − | 0.231643i | ||||
\(383\) | −176.276 | + | 484.314i | −0.460250 | + | 1.26453i | 0.465047 | + | 0.885286i | \(0.346037\pi\) |
−0.925298 | + | 0.379241i | \(0.876185\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.87959 | + | 39.0161i | −0.0178691 | + | 0.101340i | ||||
\(386\) | 331.036 | + | 191.124i | 0.857606 | + | 0.495139i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −43.1095 | − | 74.6679i | −0.111107 | − | 0.192443i | ||||
\(389\) | −99.9515 | − | 274.614i | −0.256945 | − | 0.705950i | −0.999352 | − | 0.0360005i | \(-0.988538\pi\) |
0.742407 | − | 0.669949i | \(-0.233684\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −634.541 | + | 532.443i | −1.62287 | + | 1.36175i | ||||
\(392\) | −86.0655 | − | 102.569i | −0.219555 | − | 0.261655i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 71.6445 | − | 26.0765i | 0.181839 | − | 0.0661839i | ||||
\(395\) | −235.160 | + | 135.769i | −0.595341 | + | 0.343720i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −250.807 | + | 434.410i | −0.631755 | + | 1.09423i | 0.355438 | + | 0.934700i | \(0.384332\pi\) |
−0.987193 | + | 0.159532i | \(0.949002\pi\) | |||||||
\(398\) | 187.993 | + | 33.1482i | 0.472344 | + | 0.0832870i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.7313 | − | 6.45367i | −0.0443283 | − | 0.0161342i | ||||
\(401\) | 422.750 | − | 74.5422i | 1.05424 | − | 0.185891i | 0.380440 | − | 0.924806i | \(-0.375773\pi\) |
0.673799 | + | 0.738915i | \(0.264661\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 395.336 | + | 331.726i | 0.980983 | + | 0.823142i | ||||
\(404\) | 71.5314i | 0.177058i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 27.9998 | 0.0689649 | ||||||||
\(407\) | −58.0892 | + | 69.2280i | −0.142725 | + | 0.170093i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −99.2273 | − | 562.746i | −0.242609 | − | 1.37591i | −0.825979 | − | 0.563700i | \(-0.809377\pi\) |
0.583370 | − | 0.812207i | \(-0.301734\pi\) | |||||||
\(410\) | 92.1959 | − | 253.306i | 0.224868 | − | 0.617820i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −55.3237 | + | 313.756i | −0.134281 | + | 0.761544i | ||||
\(413\) | −34.0234 | − | 19.6434i | −0.0823811 | − | 0.0475628i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −61.8780 | − | 107.176i | −0.149104 | − | 0.258255i | ||||
\(416\) | 21.4307 | + | 58.8802i | 0.0515160 | + | 0.141539i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −214.778 | + | 180.220i | −0.513822 | + | 0.431148i | ||||
\(419\) | −8.84006 | − | 10.5352i | −0.0210980 | − | 0.0251436i | 0.755392 | − | 0.655273i | \(-0.227446\pi\) |
−0.776490 | + | 0.630129i | \(0.783002\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 272.056 | − | 99.0204i | 0.646215 | − | 0.235203i | 0.00194130 | − | 0.999998i | \(-0.499382\pi\) |
0.644274 | + | 0.764795i | \(0.277160\pi\) | |||||||
\(422\) | −245.124 | + | 141.523i | −0.580863 | + | 0.335362i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 103.227 | − | 178.795i | 0.243461 | − | 0.421686i | ||||
\(425\) | −129.727 | − | 22.8743i | −0.305239 | − | 0.0538219i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.3432 | − | 6.67638i | −0.0429583 | − | 0.0156356i | ||||
\(428\) | 1.79733 | − | 0.316918i | 0.00419938 | − | 0.000740464i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 249.451 | + | 209.314i | 0.580119 | + | 0.486778i | ||||
\(431\) | − | 373.898i | − | 0.867514i | −0.901030 | − | 0.433757i | \(-0.857188\pi\) | ||
0.901030 | − | 0.433757i | \(-0.142812\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −280.461 | −0.647716 | −0.323858 | − | 0.946106i | \(-0.604980\pi\) | ||||
−0.323858 | + | 0.946106i | \(0.604980\pi\) | |||||||
\(434\) | 54.5889 | − | 65.0565i | 0.125781 | − | 0.149900i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 20.4873 | + | 116.189i | 0.0469891 | + | 0.266489i | ||||
\(437\) | 294.703 | − | 809.689i | 0.674377 | − | 1.85284i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −62.0317 | + | 351.799i | −0.141302 | + | 0.801365i | 0.828960 | + | 0.559308i | \(0.188933\pi\) |
−0.970262 | + | 0.242057i | \(0.922178\pi\) | |||||||
\(440\) | 75.2921 | + | 43.4699i | 0.171118 | + | 0.0987953i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 218.714 | + | 378.823i | 0.494827 | + | 0.857066i | ||||
\(443\) | 163.660 | + | 449.653i | 0.369436 | + | 1.01502i | 0.975577 | + | 0.219660i | \(0.0704948\pi\) |
−0.606140 | + | 0.795358i | \(0.707283\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −424.737 | + | 356.396i | −0.954464 | + | 0.800890i | ||||
\(446\) | 332.253 | + | 395.964i | 0.744962 | + | 0.887812i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 9.68934 | − | 3.52663i | 0.0216280 | − | 0.00787194i | ||||
\(449\) | 489.279 | − | 282.485i | 1.08971 | − | 0.629143i | 0.156209 | − | 0.987724i | \(-0.450073\pi\) |
0.933499 | + | 0.358581i | \(0.116739\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 144.432 | − | 250.163i | 0.320248 | − | 0.554686i | ||||
\(452\) | −50.4106 | − | 8.88874i | −0.111528 | − | 0.0196654i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 222.407 | + | 80.9496i | 0.489883 | + | 0.178303i | ||||
\(455\) | −63.3201 | + | 11.1650i | −0.139165 | + | 0.0245385i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −81.2867 | − | 68.2076i | −0.177870 | − | 0.149251i | 0.549506 | − | 0.835490i | \(-0.314816\pi\) |
−0.727376 | + | 0.686239i | \(0.759260\pi\) | |||||||
\(458\) | − | 229.575i | − | 0.501256i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −267.188 | −0.580843 | ||||||||
\(461\) | −81.6939 | + | 97.3590i | −0.177210 | + | 0.211191i | −0.847337 | − | 0.531056i | \(-0.821795\pi\) |
0.670127 | + | 0.742247i | \(0.266240\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −43.2955 | − | 245.541i | −0.0935109 | − | 0.530327i | −0.995193 | − | 0.0979280i | \(-0.968778\pi\) |
0.901683 | − | 0.432398i | \(-0.142333\pi\) | |||||||
\(464\) | 21.0152 | − | 57.7387i | 0.0452913 | − | 0.124437i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 45.1419 | − | 256.012i | 0.0968710 | − | 0.549383i | ||||
\(467\) | 338.170 | + | 195.242i | 0.724132 | + | 0.418078i | 0.816272 | − | 0.577668i | \(-0.196037\pi\) |
−0.0921395 | + | 0.995746i | \(0.529371\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −72.5944 | − | 125.737i | −0.154785 | − | 0.268096i | ||||
\(470\) | −126.852 | − | 348.523i | −0.269898 | − | 0.741537i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −66.0432 | + | 55.4168i | −0.139922 | + | 0.117408i | ||||
\(473\) | 224.302 | + | 267.312i | 0.474211 | + | 0.565142i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 128.763 | − | 46.8658i | 0.271079 | − | 0.0986648i | ||||
\(476\) | 62.3392 | − | 35.9915i | 0.130965 | − | 0.0756125i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 30.5541 | − | 52.9212i | 0.0639207 | − | 0.110714i | ||||
\(479\) | 772.342 | + | 136.185i | 1.61240 | + | 0.284310i | 0.905930 | − | 0.423428i | \(-0.139173\pi\) |
0.706475 | + | 0.707738i | \(0.250284\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −137.820 | − | 50.1622i | −0.286527 | − | 0.104287i | ||||
\(482\) | −90.7127 | + | 15.9951i | −0.188201 | + | 0.0331848i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −114.014 | − | 95.6694i | −0.235567 | − | 0.197664i | ||||
\(485\) | − | 194.149i | − | 0.400308i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 386.211 | 0.793041 | 0.396521 | − | 0.918026i | \(-0.370218\pi\) | ||||
0.396521 | + | 0.918026i | \(0.370218\pi\) | |||||||
\(488\) | −27.5349 | + | 32.8148i | −0.0564240 | + | 0.0672435i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −52.3558 | − | 296.924i | −0.106849 | − | 0.605968i | ||||
\(491\) | −115.980 | + | 318.653i | −0.236212 | + | 0.648987i | 0.763782 | + | 0.645474i | \(0.223340\pi\) |
−0.999994 | + | 0.00351250i | \(0.998882\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 74.4858 | − | 422.430i | 0.151087 | − | 0.856856i | ||||
\(494\) | −394.061 | − | 227.511i | −0.797694 | − | 0.460549i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −93.1823 | − | 161.397i | −0.187868 | − | 0.325396i | ||||
\(497\) | 3.83420 | + | 10.5344i | 0.00771469 | + | 0.0211959i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 558.687 | − | 468.794i | 1.11961 | − | 0.939467i | 0.121028 | − | 0.992649i | \(-0.461381\pi\) |
0.998585 | + | 0.0531821i | \(0.0169364\pi\) | |||||||
\(500\) | −172.056 | − | 205.048i | −0.344112 | − | 0.410097i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 22.0119 | − | 8.01167i | 0.0438484 | − | 0.0159595i | ||||
\(503\) | −544.974 | + | 314.641i | −1.08345 | + | 0.625529i | −0.931824 | − | 0.362909i | \(-0.881783\pi\) |
−0.151624 | + | 0.988438i | \(0.548450\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −80.5378 | + | 139.496i | −0.159481 | + | 0.276229i | ||||
\(506\) | −281.969 | − | 49.7187i | −0.557251 | − | 0.0982584i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −86.7829 | − | 31.5864i | −0.170832 | − | 0.0621779i | ||||
\(509\) | −931.922 | + | 164.323i | −1.83089 | + | 0.322835i | −0.979460 | − | 0.201637i | \(-0.935374\pi\) |
−0.851428 | + | 0.524472i | \(0.824263\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 103.217 | + | 86.6092i | 0.201990 | + | 0.169490i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 573.992 | 1.11672 | ||||||||
\(515\) | −461.149 | + | 549.576i | −0.895434 | + | 1.06714i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −69.0158 | − | 391.408i | −0.133493 | − | 0.757076i | ||||
\(518\) | −8.25470 | + | 22.6796i | −0.0159357 | + | 0.0437830i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −24.5012 | + | 138.953i | −0.0471176 | + | 0.267217i | ||||
\(521\) | −0.653449 | − | 0.377269i | −0.00125422 | − | 0.000724125i | 0.499373 | − | 0.866387i | \(-0.333564\pi\) |
−0.500627 | + | 0.865663i | \(0.666897\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 209.797 | + | 363.379i | 0.401141 | + | 0.694797i | 0.993864 | − | 0.110610i | \(-0.0352804\pi\) |
−0.592723 | + | 0.805407i | \(0.701947\pi\) | |||||||
\(524\) | 19.5073 | + | 53.5958i | 0.0372277 | + | 0.102282i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −334.719 | + | 280.863i | −0.636349 | + | 0.533960i | ||||
\(527\) | −836.283 | − | 996.643i | −1.58687 | − | 1.89116i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 329.765 | − | 120.025i | 0.623374 | − | 0.226890i | ||||
\(530\) | 402.613 | − | 232.449i | 0.759647 | − | 0.438583i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −37.4392 | + | 64.8467i | −0.0703745 | + | 0.121892i | ||||
\(533\) | 461.681 | + | 81.4069i | 0.866194 | + | 0.152733i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 3.86185 | + | 1.40560i | 0.00721842 | + | 0.00262729i | ||||
\(536\) | −313.770 | + | 55.3261i | −0.585391 | + | 0.103220i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −263.801 | − | 221.355i | −0.490336 | − | 0.411441i | ||||
\(539\) | − | 323.093i | − | 0.599431i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −641.079 | −1.18499 | −0.592494 | − | 0.805575i | \(-0.701857\pi\) | ||||
−0.592494 | + | 0.805575i | \(0.701857\pi\) | |||||||
\(542\) | −125.643 | + | 149.735i | −0.231813 | + | 0.276264i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −27.4301 | − | 155.564i | −0.0504230 | − | 0.285963i | ||||
\(545\) | −90.8653 | + | 249.650i | −0.166725 | + | 0.458074i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 116.883 | − | 662.876i | 0.213680 | − | 1.21184i | −0.669503 | − | 0.742809i | \(-0.733493\pi\) |
0.883183 | − | 0.469029i | \(-0.155396\pi\) | |||||||
\(548\) | 266.507 | + | 153.868i | 0.486326 | + | 0.280781i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −22.7662 | − | 39.4323i | −0.0413932 | − | 0.0716951i | ||||
\(551\) | 152.609 | + | 419.291i | 0.276968 | + | 0.760964i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −59.5308 | + | 49.9523i | −0.107651 | + | 0.0903296i | ||||
\(554\) | −379.429 | − | 452.186i | −0.684891 | − | 0.816221i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −48.7988 | + | 17.7613i | −0.0877676 | + | 0.0319448i | ||||
\(557\) | −144.605 | + | 83.4878i | −0.259614 | + | 0.149888i | −0.624159 | − | 0.781298i | \(-0.714558\pi\) |
0.364544 | + | 0.931186i | \(0.381225\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −283.161 | + | 490.448i | −0.506548 | + | 0.877367i | ||||
\(560\) | 22.8661 | + | 4.03191i | 0.0408324 | + | 0.00719985i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −518.744 | − | 188.807i | −0.923032 | − | 0.335956i | ||||
\(563\) | −46.6771 | + | 8.23043i | −0.0829078 | + | 0.0146189i | −0.214948 | − | 0.976625i | \(-0.568958\pi\) |
0.132040 | + | 0.991244i | \(0.457847\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −88.2992 | − | 74.0918i | −0.156282 | − | 0.131136i | ||||
\(566\) | 18.5510i | 0.0327757i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 24.6008 | 0.0433113 | ||||||||
\(569\) | 191.073 | − | 227.712i | 0.335805 | − | 0.400196i | −0.571547 | − | 0.820570i | \(-0.693656\pi\) |
0.907351 | + | 0.420373i | \(0.138101\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.1038 | − | 108.343i | −0.0334568 | − | 0.189743i | 0.963499 | − | 0.267712i | \(-0.0862676\pi\) |
−0.996956 | + | 0.0779691i | \(0.975156\pi\) | |||||||
\(572\) | −51.7132 | + | 142.081i | −0.0904077 | + | 0.248393i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 13.3963 | − | 75.9743i | 0.0233385 | − | 0.132359i | ||||
\(575\) | 121.185 | + | 69.9663i | 0.210757 | + | 0.121681i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 508.094 | + | 880.045i | 0.880580 | + | 1.52521i | 0.850698 | + | 0.525655i | \(0.176180\pi\) |
0.0298820 | + | 0.999553i | \(0.490487\pi\) | |||||||
\(578\) | −237.379 | − | 652.192i | −0.410689 | − | 1.12836i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 105.991 | − | 88.9367i | 0.182743 | − | 0.153339i | ||||
\(581\) | −22.7661 | − | 27.1316i | −0.0391844 | − | 0.0466981i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 468.141 | − | 170.389i | 0.802986 | − | 0.292263i | ||||
\(584\) | 256.067 | − | 147.840i | 0.438471 | − | 0.253151i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −116.428 | + | 201.659i | −0.198682 | + | 0.344128i | ||||
\(587\) | −135.199 | − | 23.8393i | −0.230323 | − | 0.0406121i | 0.0572954 | − | 0.998357i | \(-0.481752\pi\) |
−0.287618 | + | 0.957745i | \(0.592863\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1271.74 | + | 462.875i | 2.15915 | + | 0.785866i | ||||
\(590\) | −191.187 | + | 33.7114i | −0.324045 | + | 0.0571380i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 40.5724 | + | 34.0443i | 0.0685344 | + | 0.0575072i | ||||
\(593\) | − | 697.717i | − | 1.17659i | −0.808647 | − | 0.588295i | \(-0.799800\pi\) | ||
0.808647 | − | 0.588295i | \(-0.200200\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 162.093 | 0.272425 | ||||||||
\(596\) | −68.6847 | + | 81.8552i | −0.115243 | + | 0.137341i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −80.6896 | − | 457.614i | −0.134932 | − | 0.765240i | ||||
\(599\) | 16.5865 | − | 45.5711i | 0.0276903 | − | 0.0760786i | −0.925077 | − | 0.379779i | \(-0.876000\pi\) |
0.952768 | + | 0.303701i | \(0.0982222\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 75.1561 | − | 426.231i | 0.125052 | − | 0.709204i | −0.856225 | − | 0.516602i | \(-0.827197\pi\) |
0.981277 | − | 0.192601i | \(-0.0616924\pi\) | |||||||
\(602\) | 80.7082 | + | 46.5969i | 0.134067 | + | 0.0774035i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −86.7106 | − | 150.187i | −0.143561 | − | 0.248654i | ||||
\(605\) | −114.628 | − | 314.937i | −0.189467 | − | 0.520557i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −466.444 | + | 391.393i | −0.768441 | + | 0.644799i | −0.940309 | − | 0.340321i | \(-0.889464\pi\) |
0.171868 | + | 0.985120i | \(0.445020\pi\) | |||||||
\(608\) | 105.621 | + | 125.874i | 0.173719 | + | 0.207030i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −90.6431 | + | 32.9914i | −0.148595 | + | 0.0540842i | ||||
\(611\) | 558.608 | − | 322.512i | 0.914251 | − | 0.527843i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 55.1131 | − | 95.4586i | 0.0899071 | − | 0.155724i | −0.817565 | − | 0.575837i | \(-0.804676\pi\) |
0.907472 | + | 0.420113i | \(0.138010\pi\) | |||||||
\(614\) | 270.218 | + | 47.6467i | 0.440094 | + | 0.0776004i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 23.3808 | + | 8.50993i | 0.0379559 | + | 0.0138148i | ||||
\(617\) | 410.150 | − | 72.3205i | 0.664749 | − | 0.117213i | 0.168915 | − | 0.985631i | \(-0.445974\pi\) |
0.495834 | + | 0.868417i | \(0.334863\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −387.982 | − | 325.555i | −0.626788 | − | 0.525938i | 0.273141 | − | 0.961974i | \(-0.411937\pi\) |
−0.899929 | + | 0.436036i | \(0.856382\pi\) | |||||||
\(620\) | − | 419.659i | − | 0.676869i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −521.314 | −0.838125 | ||||||||
\(623\) | −101.997 | + | 121.556i | −0.163720 | + | 0.195113i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −84.1870 | − | 477.448i | −0.134699 | − | 0.763918i | ||||
\(626\) | −210.505 | + | 578.358i | −0.336270 | + | 0.923895i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −73.0857 | + | 414.489i | −0.116378 | + | 0.660015i | ||||
\(629\) | 320.206 | + | 184.871i | 0.509071 | + | 0.293913i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −146.314 | − | 253.423i | −0.231876 | − | 0.401621i | 0.726484 | − | 0.687183i | \(-0.241153\pi\) |
−0.958360 | + | 0.285562i | \(0.907820\pi\) | |||||||
\(632\) | 58.3265 | + | 160.251i | 0.0922888 | + | 0.253561i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −264.352 | + | 221.818i | −0.416959 | + | 0.349870i | ||||
\(635\) | −133.674 | − | 159.307i | −0.210511 | − | 0.250877i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 492.733 | − | 179.340i | 0.773521 | − | 0.281538i | ||||
\(638\) | 128.404 | − | 74.1340i | 0.201260 | − | 0.116197i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 25.4764 | − | 44.1264i | 0.0398068 | − | 0.0689475i | ||||
\(641\) | 180.102 | + | 31.7568i | 0.280970 | + | 0.0495426i | 0.312357 | − | 0.949965i | \(-0.398881\pi\) |
−0.0313871 | + | 0.999507i | \(0.509992\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 318.883 | + | 116.064i | 0.495930 | + | 0.180504i | 0.577863 | − | 0.816134i | \(-0.303887\pi\) |
−0.0819323 | + | 0.996638i | \(0.526109\pi\) | |||||||
\(644\) | −75.3049 | + | 13.2783i | −0.116933 | + | 0.0206185i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 878.739 | + | 737.350i | 1.36028 | + | 1.14141i | ||||
\(647\) | 489.141i | 0.756014i | 0.925803 | + | 0.378007i | \(0.123390\pi\) | ||||
−0.925803 | + | 0.378007i | \(0.876610\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −208.037 | −0.320550 | ||||||||
\(650\) | 47.4992 | − | 56.6074i | 0.0730758 | − | 0.0870883i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −33.2156 | − | 188.375i | −0.0509442 | − | 0.288919i | ||||
\(653\) | 122.478 | − | 336.505i | 0.187562 | − | 0.515321i | −0.809897 | − | 0.586572i | \(-0.800477\pi\) |
0.997458 | + | 0.0712511i | \(0.0226992\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −22.3022 | + | 126.482i | −0.0340492 | + | 0.193103i | ||||
\(656\) | −146.613 | − | 84.6471i | −0.223496 | − | 0.129035i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −53.0726 | − | 91.9245i | −0.0806575 | − | 0.139703i | ||||
\(659\) | 63.2203 | + | 173.696i | 0.0959337 | + | 0.263576i | 0.978372 | − | 0.206852i | \(-0.0663219\pi\) |
−0.882439 | + | 0.470428i | \(0.844100\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 50.5328 | − | 42.4021i | 0.0764490 | − | 0.0641483i | −0.603762 | − | 0.797164i | \(-0.706332\pi\) |
0.680211 | + | 0.733016i | \(0.261888\pi\) | |||||||
\(662\) | 386.144 | + | 460.188i | 0.583299 | + | 0.695148i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −73.0355 | + | 26.5828i | −0.109993 | + | 0.0400343i | ||||
\(665\) | −146.023 | + | 84.3062i | −0.219583 | + | 0.126776i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −227.832 | + | 394.617i | −0.341577 | + | 0.591629i | ||||
\(668\) | −191.425 | − | 33.7534i | −0.286564 | − | 0.0505290i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −674.183 | − | 245.383i | −1.00624 | − | 0.366243i | ||||
\(671\) | −101.797 | + | 17.9495i | −0.151709 | + | 0.0267504i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −79.3186 | − | 66.5562i | −0.117858 | − | 0.0988948i | 0.581954 | − | 0.813222i | \(-0.302288\pi\) |
−0.699812 | + | 0.714327i | \(0.746733\pi\) | |||||||
\(674\) | 212.356i | 0.315068i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 92.6152 | 0.137005 | ||||||||
\(677\) | −253.554 | + | 302.174i | −0.374526 | + | 0.446343i | −0.920079 | − | 0.391734i | \(-0.871875\pi\) |
0.545553 | + | 0.838077i | \(0.316320\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −9.64855 | − | 54.7196i | −0.0142099 | − | 0.0805886i | ||||
\(680\) | 121.658 | − | 334.253i | 0.178909 | − | 0.491549i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 78.0908 | − | 442.875i | 0.114503 | − | 0.649377i | ||||
\(683\) | 152.220 | + | 87.8842i | 0.222870 | + | 0.128674i | 0.607278 | − | 0.794489i | \(-0.292261\pi\) |
−0.384409 | + | 0.923163i | \(0.625595\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 346.482 | + | 600.124i | 0.505813 | + | 0.876093i | ||||
\(686\) | −60.0601 | − | 165.014i | −0.0875512 | − | 0.240545i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 156.664 | − | 131.456i | 0.227709 | − | 0.191070i | ||||
\(689\) | 519.704 | + | 619.359i | 0.754287 | + | 0.898924i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 100.843 | − | 36.7038i | 0.145938 | − | 0.0531170i | −0.268019 | − | 0.963414i | \(-0.586369\pi\) |
0.413956 | + | 0.910297i | \(0.364147\pi\) | |||||||
\(692\) | 480.917 | − | 277.658i | 0.694967 | − | 0.401240i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 165.437 | − | 286.545i | 0.238382 | − | 0.412890i | ||||
\(695\) | −115.161 | − | 20.3061i | −0.165700 | − | 0.0292174i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1110.58 | − | 404.218i | −1.59337 | − | 0.579940i | ||||
\(698\) | −21.2289 | + | 3.74322i | −0.0304138 | + | 0.00536278i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −9.31532 | − | 7.81648i | −0.0133076 | − | 0.0111664i | ||||
\(701\) | 1348.09i | 1.92309i | 0.274639 | + | 0.961547i | \(0.411442\pi\) | ||||
−0.274639 | + | 0.961547i | \(0.588558\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −384.614 | −0.547104 | ||||||||
\(704\) | 35.0969 | − | 41.8268i | 0.0498535 | − | 0.0594131i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 58.1338 | + | 329.693i | 0.0823424 | + | 0.466987i | ||||
\(707\) | −15.7666 | + | 43.3183i | −0.0223007 | + | 0.0612705i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −37.4182 | + | 212.209i | −0.0527761 | + | 0.299308i | −0.999758 | − | 0.0219775i | \(-0.993004\pi\) |
0.946982 | + | 0.321285i | \(0.104115\pi\) | |||||||
\(710\) | 47.9748 | + | 27.6983i | 0.0675702 | + | 0.0390117i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 174.108 | + | 301.563i | 0.244533 | + | 0.423544i | ||||
\(713\) | 472.693 | + | 1298.71i | 0.662963 | + | 1.82148i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −260.817 | + | 218.852i | −0.364780 | + | 0.306086i | ||||
\(716\) | −98.6500 | − | 117.566i | −0.137779 | − | 0.164199i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −746.574 | + | 271.731i | −1.03980 | + | 0.378455i | ||||
\(719\) | −255.819 | + | 147.697i | −0.355799 | + | 0.205421i | −0.667236 | − | 0.744846i | \(-0.732523\pi\) |
0.311438 | + | 0.950267i | \(0.399190\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −102.659 | + | 177.811i | −0.142385 | + | 0.246618i | ||||
\(722\) | −672.350 | − | 118.553i | −0.931233 | − | 0.164201i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 535.811 | + | 195.019i | 0.740070 | + | 0.269364i | ||||
\(725\) | −71.3621 | + | 12.5831i | −0.0984305 | + | 0.0173560i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −240.490 | − | 201.795i | −0.330798 | − | 0.277573i | 0.462227 | − | 0.886762i | \(-0.347051\pi\) |
−0.793025 | + | 0.609189i | \(0.791495\pi\) | |||||||
\(728\) | 40.3805i | 0.0554678i | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 665.819 | 0.912080 | ||||||||
\(731\) | 917.706 | − | 1093.68i | 1.25541 | − | 1.49614i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 248.957 | + | 1411.91i | 0.339642 | + | 1.92620i | 0.375446 | + | 0.926844i | \(0.377489\pi\) |
−0.0358047 | + | 0.999359i | \(0.511399\pi\) | |||||||
\(734\) | −277.224 | + | 761.666i | −0.377689 | + | 1.03769i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −29.1386 | + | 165.253i | −0.0395905 | + | 0.224529i | ||||
\(737\) | −665.819 | − | 384.411i | −0.903418 | − | 0.521589i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −459.948 | − | 796.653i | −0.622392 | − | 1.07801i | −0.989039 | − | 0.147654i | \(-0.952828\pi\) |
0.366647 | − | 0.930360i | \(-0.380506\pi\) | |||||||
\(740\) | 40.7907 | + | 112.071i | 0.0551225 | + | 0.151448i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 101.922 | − | 85.5225i | 0.137361 | − | 0.115259i | ||||
\(743\) | 303.777 | + | 362.028i | 0.408852 | + | 0.487251i | 0.930698 | − | 0.365789i | \(-0.119201\pi\) |
−0.521846 | + | 0.853040i | \(0.674756\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −226.105 | + | 82.2956i | −0.303497 | + | 0.110464i | ||||
\(746\) | 463.638 | − | 267.681i | 0.621498 | − | 0.358822i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 190.587 | − | 330.106i | 0.254795 | − | 0.441319i | ||||
\(749\) | 1.15829 | + | 0.204238i | 0.00154645 | + | 0.000272680i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 606.653 | + | 220.804i | 0.807794 | + | 0.294013i | 0.712712 | − | 0.701457i | \(-0.247467\pi\) |
0.0950817 | + | 0.995469i | \(0.469689\pi\) | |||||||
\(752\) | −229.392 | + | 40.4481i | −0.305043 | + | 0.0537873i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 184.331 | + | 154.672i | 0.244471 | + | 0.205136i | ||||
\(755\) | − | 390.513i | − | 0.517235i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −482.464 | −0.637337 | −0.318668 | − | 0.947866i | \(-0.603236\pi\) | ||||
−0.318668 | + | 0.947866i | \(0.603236\pi\) | |||||||
\(758\) | 385.616 | − | 459.559i | 0.508728 | − | 0.606278i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 64.2520 | + | 364.391i | 0.0845421 | + | 0.479462i | ||||
\(761\) | 235.486 | − | 646.992i | 0.309443 | − | 0.850186i | −0.683323 | − | 0.730116i | \(-0.739466\pi\) |
0.992765 | − | 0.120070i | \(-0.0383119\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −13.2030 | + | 74.8778i | −0.0173040 | + | 0.0981361i | ||||
\(764\) | −110.046 | − | 63.5353i | −0.144040 | − | 0.0831614i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 364.440 | + | 631.229i | 0.475770 | + | 0.824058i | ||||
\(767\) | −115.475 | − | 317.266i | −0.150555 | − | 0.413645i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 750.225 | − | 629.514i | 0.975586 | − | 0.818614i | −0.00783195 | − | 0.999969i | \(-0.502493\pi\) |
0.983418 | + | 0.181356i | \(0.0580486\pi\) | |||||||
\(770\) | 36.0143 | + | 42.9201i | 0.0467718 | + | 0.0557404i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 507.979 | − | 184.889i | 0.658004 | − | 0.239494i | ||||
\(773\) | −720.911 | + | 416.218i | −0.932615 | + | 0.538445i | −0.887638 | − | 0.460543i | \(-0.847655\pi\) |
−0.0449772 | + | 0.998988i | \(0.514322\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −109.893 | + | 190.340i | −0.141797 | + | 0.245600i | ||||
\(776\) | −120.080 | − | 21.1733i | −0.154742 | − | 0.0272852i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −388.363 | − | 141.353i | −0.499182 | − | 0.181687i | ||||
\(779\) | 1210.72 | − | 213.482i | 1.55419 | − | 0.274046i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 45.4747 | + | 38.1578i | 0.0582263 | + | 0.0488577i | ||||
\(782\) | 1171.44i | 1.49801i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −189.355 | −0.241524 | ||||||||
\(785\) | −609.203 | + | 726.020i | −0.776055 | + | 0.924866i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 51.5872 | + | 292.565i | 0.0655491 | + | 0.371748i | 0.999882 | + | 0.0153466i | \(0.00488517\pi\) |
−0.934333 | + | 0.356401i | \(0.884004\pi\) | |||||||
\(788\) | 36.8777 | − | 101.321i | 0.0467991 | − | 0.128579i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −66.6833 | + | 378.180i | −0.0844093 | + | 0.478709i | ||||
\(791\) | −28.5686 | − | 16.4941i | −0.0361171 | − | 0.0208522i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −83.8783 | − | 145.282i | −0.105773 | − | 0.183205i | ||||
\(794\) | 242.625 | + | 666.607i | 0.305573 | + | 0.839556i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 206.804 | − | 173.529i | 0.259804 | − | 0.218001i | ||||
\(797\) | −751.220 | − | 895.270i | −0.942560 | − | 1.12330i | −0.992215 | − | 0.124533i | \(-0.960257\pi\) |
0.0496555 | − | 0.998766i | \(-0.484188\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1528.04 | + | 556.162i | −1.91244 | + | 0.696073i | ||||
\(800\) | −23.1101 | + | 13.3426i | −0.0288876 | + | 0.0166782i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 303.541 | − | 525.748i | 0.378480 | − | 0.655546i | ||||
\(803\) | 702.653 | + | 123.897i | 0.875035 | + | 0.154292i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −161.804 | − | 58.8920i | −0.200999 | − | 0.0731578i | ||||
\(806\) | 718.752 | − | 126.735i | 0.891751 | − | 0.157240i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 77.4936 | + | 65.0249i | 0.0959079 | + | 0.0804763i | ||||
\(809\) | − | 947.214i | − | 1.17085i | −0.810728 | − | 0.585423i | \(-0.800929\pi\) | ||
0.810728 | − | 0.585423i | \(-0.199071\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 209.571 | 0.258411 | 0.129205 | − | 0.991618i | \(-0.458757\pi\) | ||||
0.129205 | + | 0.991618i | \(0.458757\pi\) | |||||||
\(812\) | 25.4529 | − | 30.3336i | 0.0313459 | − | 0.0373566i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 22.1928 | + | 125.862i | 0.0272639 | + | 0.154621i | ||||
\(815\) | 147.318 | − | 404.754i | 0.180759 | − | 0.496630i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −257.889 | + | 1462.56i | −0.315654 | + | 1.79016i | ||||
\(818\) | −699.852 | − | 404.060i | −0.855565 | − | 0.493961i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −190.610 | − | 330.145i | −0.232451 | − | 0.402616i | ||||
\(821\) | −318.898 | − | 876.165i | −0.388426 | − | 1.06719i | −0.967710 | − | 0.252066i | \(-0.918890\pi\) |
0.579284 | − | 0.815126i | \(-0.303332\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 457.598 | − | 383.970i | 0.556012 | − | 0.466549i | −0.320959 | − | 0.947093i | \(-0.604005\pi\) |
0.876971 | + | 0.480544i | \(0.159561\pi\) | |||||||
\(824\) | 289.616 | + | 345.151i | 0.351476 | + | 0.418873i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −52.2093 | + | 19.0026i | −0.0632074 | + | 0.0230056i | ||||
\(827\) | −897.728 | + | 518.303i | −1.08552 | + | 0.626727i | −0.932381 | − | 0.361477i | \(-0.882273\pi\) |
−0.153142 | + | 0.988204i | \(0.548939\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 561.238 | − | 972.093i | 0.677006 | − | 1.17261i | −0.298872 | − | 0.954293i | \(-0.596610\pi\) |
0.975878 | − | 0.218316i | \(-0.0700563\pi\) | |||||||
\(830\) | −172.358 | − | 30.3914i | −0.207661 | − | 0.0366162i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 83.2692 | + | 30.3075i | 0.100083 | + | 0.0364273i | ||||
\(833\) | −1301.82 | + | 229.546i | −1.56281 | + | 0.275565i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −335.300 | − | 281.350i | −0.401557 | − | 0.336946i | ||||
\(836\) | 396.506i | 0.474290i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −19.4492 | −0.0232091 | ||||||||
\(839\) | 241.391 | − | 287.679i | 0.287713 | − | 0.342883i | −0.602757 | − | 0.797925i | \(-0.705931\pi\) |
0.890470 | + | 0.455042i | \(0.150376\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 105.064 | + | 595.846i | 0.124927 | + | 0.708497i | ||||
\(842\) | 140.036 | − | 384.746i | 0.166314 | − | 0.456943i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −69.5090 | + | 394.205i | −0.0823566 | + | 0.467068i | ||||
\(845\) | 180.612 | + | 104.276i | 0.213742 | + | 0.123404i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −47.9583 | − | 83.0662i | −0.0566214 | − | 0.0980711i | ||||
\(848\) | −99.8599 | − | 274.363i | −0.117759 | − | 0.323541i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −142.707 | + | 119.746i | −0.167891 | + | 0.140877i | ||||
\(851\) | −252.469 | − | 300.881i | −0.296673 | − | 0.353561i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −321.687 | + | 117.085i | −0.377125 | + | 0.137262i | −0.523626 | − | 0.851948i | \(-0.675421\pi\) |
0.146501 | + | 0.989210i | \(0.453199\pi\) | |||||||
\(854\) | −23.9075 | + | 13.8030i | −0.0279948 | + | 0.0161628i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.29051 | − | 2.23523i | 0.00150761 | − | 0.00261125i | ||||
\(857\) | −1607.59 | − | 283.462i | −1.87584 | − | 0.330761i | −0.884976 | − | 0.465637i | \(-0.845825\pi\) |
−0.990862 | + | 0.134876i | \(0.956936\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −746.647 | − | 271.757i | −0.869205 | − | 0.316365i | −0.131360 | − | 0.991335i | \(-0.541934\pi\) |
−0.737845 | + | 0.674970i | \(0.764157\pi\) | |||||||
\(860\) | 453.522 | − | 79.9681i | 0.527351 | − | 0.0929862i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −405.063 | − | 339.888i | −0.469911 | − | 0.394302i | ||||
\(863\) | − | 1059.53i | − | 1.22772i | −0.789414 | − | 0.613862i | \(-0.789615\pi\) | ||
0.789414 | − | 0.613862i | \(-0.210385\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1250.47 | 1.44563 | ||||||||
\(866\) | −254.950 | + | 303.838i | −0.294400 | + | 0.350852i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −20.8556 | − | 118.278i | −0.0240272 | − | 0.136265i | ||||
\(869\) | −140.745 | + | 386.693i | −0.161962 | + | 0.444986i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 216.667 | − | 1228.78i | 0.248757 | − | 1.41077i | ||||
\(872\) | 144.497 | + | 83.4254i | 0.165708 | + | 0.0956714i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −609.281 | − | 1055.31i | −0.697118 | − | 1.20744i | ||||
\(875\) | −58.9987 | − | 162.098i | −0.0674271 | − | 0.185254i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −8.15596 | + | 6.84366i | −0.00929984 | + | 0.00780349i | −0.647426 | − | 0.762129i | \(-0.724154\pi\) |
0.638126 | + | 0.769932i | \(0.279710\pi\) | |||||||
\(878\) | 324.733 | + | 387.001i | 0.369855 | + | 0.440776i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 115.537 | − | 42.0519i | 0.131292 | − | 0.0477862i | ||||
\(881\) | −864.640 | + | 499.200i | −0.981430 | + | 0.566629i | −0.902702 | − | 0.430267i | \(-0.858419\pi\) |
−0.0787284 | + | 0.996896i | \(0.525086\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 234.685 | − | 406.487i | 0.265782 | − | 0.460348i | −0.701986 | − | 0.712190i | \(-0.747703\pi\) |
0.967768 | + | 0.251843i | \(0.0810366\pi\) | |||||||
\(884\) | 609.218 | + | 107.422i | 0.689160 | + | 0.121518i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 635.905 | + | 231.451i | 0.717726 | + | 0.261231i | ||||
\(887\) | 1736.47 | − | 306.186i | 1.95769 | − | 0.345193i | 0.959761 | − | 0.280818i | \(-0.0906056\pi\) |
0.997926 | − | 0.0643754i | \(-0.0205055\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −45.5922 | − | 38.2564i | −0.0512848 | − | 0.0430331i | ||||
\(890\) | 784.117i | 0.881030i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 730.999 | 0.819505 | ||||||||
\(893\) | 1087.29 | − | 1295.78i | 1.21757 | − | 1.45104i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −60.0112 | − | 340.341i | −0.0670516 | − | 0.380269i | ||||
\(896\) | 4.98741 | − | 13.7028i | 0.00556630 | − | 0.0152933i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 138.743 | − | 786.851i | 0.154502 | − | 0.876226i | ||||
\(899\) | −619.805 | − | 357.845i | −0.689439 | − | 0.398048i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1019.14 | − | 1765.19i | −1.13112 | − | 1.95915i | ||||
\(902\) | −139.720 | − | 383.879i | −0.154901 | − | 0.425586i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −55.4548 | + | 46.5321i | −0.0613438 | + | 0.0514736i | ||||
\(905\) | 825.327 | + | 983.586i | 0.911963 | + | 1.08684i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1393.67 | − | 507.255i | 1.53657 | − | 0.559267i | 0.571354 | − | 0.820704i | \(-0.306418\pi\) |
0.965221 | + | 0.261437i | \(0.0841962\pi\) | |||||||
\(908\) | 289.873 | − | 167.358i | 0.319244 | − | 0.184316i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −45.4647 | + | 78.7473i | −0.0499613 | + | 0.0865354i | ||||
\(911\) | −1475.18 | − | 260.115i | −1.61930 | − | 0.285527i | −0.710796 | − | 0.703398i | \(-0.751665\pi\) |
−0.908506 | + | 0.417871i | \(0.862776\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −176.238 | − | 64.1455i | −0.193032 | − | 0.0702579i | ||||
\(914\) | −147.786 | + | 26.0586i | −0.161691 | + | 0.0285105i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −248.710 | − | 208.693i | −0.271518 | − | 0.227830i | ||||
\(917\) | 36.7564i | 0.0400834i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −610.689 | −0.664515 | −0.332257 | − | 0.943189i | \(-0.607810\pi\) | ||||
−0.332257 | + | 0.943189i | \(0.607810\pi\) | |||||||
\(920\) | −242.884 | + | 289.458i | −0.264004 | + | 0.314628i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 31.2110 | + | 177.006i | 0.0338514 | + | 0.191981i | ||||
\(923\) | −32.9508 | + | 90.5315i | −0.0356996 | + | 0.0980840i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.8463 | − | 61.5125i | 0.0117257 | − | 0.0665000i | ||||
\(926\) | −305.364 | − | 176.302i | −0.329767 | − | 0.190391i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −43.4476 | − | 75.2535i | −0.0468186 | − | 0.0810921i | ||||
\(929\) | 309.237 | + | 849.622i | 0.332871 | + | 0.914556i | 0.987361 | + | 0.158485i | \(0.0506610\pi\) |
−0.654490 | + | 0.756070i | \(0.727117\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1053.37 | − | 883.879i | 1.13144 | − | 0.949387i | ||||
\(932\) | −236.315 | − | 281.630i | −0.253557 | − | 0.302178i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 518.925 | − | 188.873i | 0.555595 | − | 0.202220i | ||||
\(935\) | 743.338 | − | 429.167i | 0.795014 | − | 0.459002i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 259.623 | − | 449.680i | 0.277079 | − | 0.479915i | −0.693579 | − | 0.720381i | \(-0.743967\pi\) |
0.970658 | + | 0.240466i | \(0.0773003\pi\) | |||||||
\(938\) | −202.208 | − | 35.6548i | −0.215574 | − | 0.0380115i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −492.885 | − | 179.396i | −0.524346 | − | 0.190846i | ||||
\(941\) | −808.796 | + | 142.613i | −0.859507 | + | 0.151554i | −0.585995 | − | 0.810314i | \(-0.699296\pi\) |
−0.273512 | + | 0.961869i | \(0.588185\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 961.744 | + | 806.999i | 1.01988 | + | 0.855779i | ||||
\(944\) | 121.924i | 0.129157i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 493.492 | 0.521662 | ||||||||
\(947\) | −74.7672 | + | 89.1040i | −0.0789516 | + | 0.0940909i | −0.804074 | − | 0.594529i | \(-0.797339\pi\) |
0.725123 | + | 0.688620i | \(0.241783\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 201.075 | + | 1140.35i | 0.211881 | + | 1.20163i | ||||
\(950\) | 66.2782 | − | 182.098i | 0.0697665 | − | 0.191682i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 17.6773 | − | 100.253i | 0.0185686 | − | 0.105308i | ||||
\(953\) | 686.346 | + | 396.262i | 0.720195 | + | 0.415805i | 0.814824 | − | 0.579708i | \(-0.196833\pi\) |
−0.0946295 | + | 0.995513i | \(0.530167\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −143.070 | − | 247.804i | −0.149811 | − | 0.259481i | ||||
\(956\) | −29.5574 | − | 81.2083i | −0.0309178 | − | 0.0849459i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 849.624 | − | 712.920i | 0.886873 | − | 0.744175i | ||||
\(959\) | 127.477 | + | 151.922i | 0.132927 | + | 0.158417i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1136.78 | + | 413.754i | −1.18291 | + | 0.430546i | ||||
\(962\) | −179.627 | + | 103.708i | −0.186722 | + | 0.107804i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −65.1331 | + | 112.814i | −0.0675654 | + | 0.117027i | ||||
\(965\) | 1198.79 | + | 211.379i | 1.24227 | + | 0.219046i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −609.471 | − | 221.829i | −0.630270 | − | 0.229399i | 0.00707887 | − | 0.999975i | \(-0.497747\pi\) |
−0.637349 | + | 0.770575i | \(0.719969\pi\) | |||||||
\(968\) | −207.287 | + | 36.5503i | −0.214139 | + | 0.0377586i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −210.332 | − | 176.489i | −0.216837 | − | 0.181948i | ||||
\(971\) | − | 144.756i | − | 0.149079i | −0.997218 | − | 0.0745395i | \(-0.976251\pi\) | ||
0.997218 | − | 0.0745395i | \(-0.0237487\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −33.4666 | −0.0343953 | ||||||||
\(974\) | 351.081 | − | 418.402i | 0.360453 | − | 0.429571i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 10.5196 | + | 59.6599i | 0.0107783 | + | 0.0611269i | ||||
\(977\) | 307.745 | − | 845.523i | 0.314990 | − | 0.865427i | −0.676640 | − | 0.736314i | \(-0.736565\pi\) |
0.991630 | − | 0.129113i | \(-0.0412131\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −145.910 | + | 827.495i | −0.149040 | + | 0.845245i | ||||
\(980\) | −369.267 | − | 213.196i | −0.376803 | − | 0.217547i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 239.782 | + | 415.315i | 0.244177 | + | 0.422927i | ||||
\(983\) | −589.102 | − | 1618.54i | −0.599290 | − | 1.64654i | −0.752693 | − | 0.658372i | \(-0.771245\pi\) |
0.153402 | − | 0.988164i | \(-0.450977\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 185.994 | − | 156.067i | 0.188826 | − | 0.158444i | ||||
\(986\) | −389.929 | − | 464.700i | −0.395466 | − | 0.471298i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −604.691 | + | 220.089i | −0.612035 | + | 0.222763i | ||||
\(989\) | −1313.43 | + | 758.311i | −1.32804 | + | 0.766746i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −75.6965 | + | 131.110i | −0.0763839 | + | 0.132301i | −0.901687 | − | 0.432389i | \(-0.857671\pi\) |
0.825303 | + | 0.564690i | \(0.191004\pi\) | |||||||
\(992\) | −259.555 | − | 45.7666i | −0.261649 | − | 0.0461357i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 14.8979 | + | 5.42238i | 0.0149878 | + | 0.00545511i | ||||
\(995\) | 598.672 | − | 105.562i | 0.601681 | − | 0.106093i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −253.078 | − | 212.357i | −0.253839 | − | 0.212996i | 0.506984 | − | 0.861955i | \(-0.330760\pi\) |
−0.760823 | + | 0.648959i | \(0.775205\pi\) | |||||||
\(998\) | − | 1031.41i | − | 1.03347i | ||||||
\(999\) | 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 | 162.3.f.a.35.6 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.11.2 | yes | 36 | ||
12.11 | even | 2 | 432.3.bc.c.65.4 | 36 | |||
27.5 | odd | 18 | inner | 162.3.f.a.125.6 | 36 | ||
27.7 | even | 9 | 1458.3.b.c.1457.14 | 36 | |||
27.20 | odd | 18 | 1458.3.b.c.1457.23 | 36 | |||
27.22 | even | 9 | 54.3.f.a.5.2 | ✓ | 36 | ||
108.103 | odd | 18 | 432.3.bc.c.113.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.5.2 | ✓ | 36 | 27.22 | even | 9 | ||
54.3.f.a.11.2 | yes | 36 | 3.2 | odd | 2 | ||
162.3.f.a.35.6 | 36 | 1.1 | even | 1 | trivial | ||
162.3.f.a.125.6 | 36 | 27.5 | odd | 18 | inner | ||
432.3.bc.c.65.4 | 36 | 12.11 | even | 2 | |||
432.3.bc.c.113.4 | 36 | 108.103 | odd | 18 | |||
1458.3.b.c.1457.14 | 36 | 27.7 | even | 9 | |||
1458.3.b.c.1457.23 | 36 | 27.20 | odd | 18 |