Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.19 | ||
Character | \(\chi\) | \(=\) | 441.251 |
Dual form | 441.2.w.a.188.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.12540 | + | 1.69495i | 1.50289 | + | 1.19851i | 0.923581 | + | 0.383404i | \(0.125248\pi\) |
0.579307 | + | 0.815109i | \(0.303323\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.19944 | + | 5.25507i | 0.599718 | + | 2.62753i | ||||
\(5\) | −2.70367 | − | 1.30202i | −1.20912 | − | 0.582280i | −0.282856 | − | 0.959162i | \(-0.591282\pi\) |
−0.926261 | + | 0.376882i | \(0.876996\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.967619 | + | 2.46246i | −0.365725 | + | 0.930723i | ||||
\(8\) | −3.99879 | + | 8.30358i | −1.41379 | + | 2.93576i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −3.53953 | − | 7.34991i | −1.11930 | − | 2.32425i | ||||
\(11\) | 1.87132 | + | 1.49233i | 0.564225 | + | 0.449955i | 0.863598 | − | 0.504182i | \(-0.168206\pi\) |
−0.299372 | + | 0.954136i | \(0.596777\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.93441 | + | 1.54264i | 0.536509 | + | 0.427851i | 0.853895 | − | 0.520445i | \(-0.174234\pi\) |
−0.317387 | + | 0.948296i | \(0.602805\pi\) | |||||||
\(14\) | −6.23034 | + | 3.59366i | −1.66513 | + | 0.960445i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −12.8604 | + | 6.19325i | −3.21510 | + | 1.54831i | ||||
\(17\) | 1.15098 | − | 5.04278i | 0.279154 | − | 1.22305i | −0.619711 | − | 0.784830i | \(-0.712750\pi\) |
0.898866 | − | 0.438225i | \(-0.144393\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.270871i | 0.0621420i | 0.999517 | + | 0.0310710i | \(0.00989179\pi\) | ||||
−0.999517 | + | 0.0310710i | \(0.990108\pi\) | |||||||
\(20\) | 3.59932 | − | 15.7697i | 0.804833 | − | 3.52620i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.44789 | + | 6.34361i | 0.308691 | + | 1.35246i | ||||
\(23\) | 8.11148 | − | 1.85139i | 1.69136 | − | 0.386042i | 0.734963 | − | 0.678108i | \(-0.237200\pi\) |
0.956398 | + | 0.292066i | \(0.0943426\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.49713 | + | 3.13130i | 0.499425 | + | 0.626260i | ||||
\(26\) | 1.49670 | + | 6.55747i | 0.293527 | + | 1.28603i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −14.1010 | − | 2.13134i | −2.66484 | − | 0.402785i | ||||
\(29\) | −2.64195 | − | 0.603008i | −0.490598 | − | 0.111976i | −0.0299365 | − | 0.999552i | \(-0.509531\pi\) |
−0.460661 | + | 0.887576i | \(0.652388\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.55709i | 1.53690i | 0.639911 | + | 0.768449i | \(0.278971\pi\) | ||||
−0.639911 | + | 0.768449i | \(0.721029\pi\) | |||||||
\(32\) | −19.8604 | − | 4.53301i | −3.51086 | − | 0.801331i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 10.9936 | − | 8.76709i | 1.88538 | − | 1.50354i | ||||
\(35\) | 5.82229 | − | 5.39782i | 0.984147 | − | 0.912399i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.31758 | − | 5.77270i | 0.216609 | − | 0.949026i | −0.743354 | − | 0.668898i | \(-0.766766\pi\) |
0.959963 | − | 0.280127i | \(-0.0903767\pi\) | |||||||
\(38\) | −0.459113 | + | 0.575710i | −0.0744780 | + | 0.0933924i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 21.6228 | − | 17.2436i | 3.41887 | − | 2.72646i | ||||
\(41\) | 0.862545 | + | 0.415380i | 0.134707 | + | 0.0648715i | 0.500023 | − | 0.866012i | \(-0.333325\pi\) |
−0.365316 | + | 0.930884i | \(0.619039\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.37639 | − | 2.58913i | 0.819892 | − | 0.394839i | 0.0235776 | − | 0.999722i | \(-0.492494\pi\) |
0.796315 | + | 0.604883i | \(0.206780\pi\) | |||||||
\(44\) | −5.59777 | + | 11.6239i | −0.843895 | + | 1.75237i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 20.3782 | + | 9.81363i | 3.00460 | + | 1.44694i | ||||
\(47\) | 5.40670 | − | 6.77979i | 0.788648 | − | 0.988934i | −0.211285 | − | 0.977424i | \(-0.567765\pi\) |
0.999934 | − | 0.0115095i | \(-0.00366366\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.12743 | − | 4.76545i | −0.732490 | − | 0.680778i | ||||
\(50\) | 10.8878i | 1.53977i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.78648 | + | 12.0158i | −0.802441 | + | 1.66629i | ||||
\(53\) | −1.39025 | + | 0.317315i | −0.190965 | + | 0.0435866i | −0.316934 | − | 0.948448i | \(-0.602653\pi\) |
0.125968 | + | 0.992034i | \(0.459796\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.11640 | − | 6.47127i | −0.420215 | − | 0.872585i | ||||
\(56\) | −16.5779 | − | 17.8816i | −2.21532 | − | 2.38953i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.59314 | − | 5.75962i | −0.603109 | − | 0.756275i | ||||
\(59\) | −5.63248 | + | 2.71246i | −0.733286 | + | 0.353132i | −0.762976 | − | 0.646427i | \(-0.776262\pi\) |
0.0296897 | + | 0.999559i | \(0.490548\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.1109 | + | 2.76423i | 1.55064 | + | 0.353923i | 0.910227 | − | 0.414109i | \(-0.135907\pi\) |
0.640411 | + | 0.768032i | \(0.278764\pi\) | |||||||
\(62\) | −14.5039 | + | 18.1873i | −1.84199 | + | 2.30979i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −16.7288 | − | 20.9773i | −2.09110 | − | 2.62216i | ||||
\(65\) | −3.22146 | − | 6.68943i | −0.399573 | − | 0.829721i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −9.18698 | −1.12237 | −0.561184 | − | 0.827691i | \(-0.689654\pi\) | ||||
−0.561184 | + | 0.827691i | \(0.689654\pi\) | |||||||
\(68\) | 27.8807 | 3.38103 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 21.5238 | − | 1.60405i | 2.57258 | − | 0.191720i | ||||
\(71\) | −3.43876 | + | 0.784875i | −0.408106 | + | 0.0931475i | −0.421645 | − | 0.906761i | \(-0.638547\pi\) |
0.0135394 | + | 0.999908i | \(0.495690\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.58618 | + | 5.25231i | −0.770854 | + | 0.614736i | −0.927889 | − | 0.372857i | \(-0.878378\pi\) |
0.157034 | + | 0.987593i | \(0.449807\pi\) | |||||||
\(74\) | 12.5848 | − | 10.0361i | 1.46296 | − | 1.16667i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.42344 | + | 0.324892i | −0.163280 | + | 0.0372676i | ||||
\(77\) | −5.48553 | + | 3.16405i | −0.625134 | + | 0.360577i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.56875 | 0.964059 | 0.482030 | − | 0.876155i | \(-0.339900\pi\) | ||||
0.482030 | + | 0.876155i | \(0.339900\pi\) | |||||||
\(80\) | 42.8340 | 4.78899 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.12921 | + | 2.34483i | 0.124700 | + | 0.258943i | ||||
\(83\) | −0.701261 | − | 0.879353i | −0.0769734 | − | 0.0965216i | 0.741854 | − | 0.670562i | \(-0.233947\pi\) |
−0.818827 | + | 0.574040i | \(0.805375\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −9.67767 | + | 12.1354i | −1.04969 | + | 1.31627i | ||||
\(86\) | 15.8155 | + | 3.60978i | 1.70543 | + | 0.389252i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −19.8747 | + | 9.57116i | −2.11865 | + | 1.02029i | ||||
\(89\) | −10.3983 | − | 13.0391i | −1.10222 | − | 1.38214i | −0.916736 | − | 0.399494i | \(-0.869186\pi\) |
−0.185485 | − | 0.982647i | \(-0.559385\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.67046 | + | 3.27072i | −0.594426 | + | 0.342865i | ||||
\(92\) | 19.4584 | + | 40.4058i | 2.02868 | + | 4.21259i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 22.9829 | − | 5.24569i | 2.37050 | − | 0.541051i | ||||
\(95\) | 0.352678 | − | 0.732344i | 0.0361840 | − | 0.0751369i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.73671i | 0.176336i | 0.996106 | + | 0.0881680i | \(0.0281012\pi\) | ||||
−0.996106 | + | 0.0881680i | \(0.971899\pi\) | |||||||
\(98\) | −2.82065 | − | 18.8193i | −0.284929 | − | 1.90103i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −13.4600 | + | 16.8784i | −1.34600 | + | 1.68784i | ||||
\(101\) | −6.02148 | − | 2.89979i | −0.599160 | − | 0.288540i | 0.109616 | − | 0.993974i | \(-0.465038\pi\) |
−0.708776 | + | 0.705434i | \(0.750752\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.102115 | − | 0.212045i | 0.0100617 | − | 0.0208934i | −0.895877 | − | 0.444301i | \(-0.853452\pi\) |
0.905939 | + | 0.423408i | \(0.139166\pi\) | |||||||
\(104\) | −20.5447 | + | 9.89382i | −2.01458 | + | 0.970169i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.49268 | − | 1.68199i | −0.339239 | − | 0.163369i | ||||
\(107\) | −7.97075 | + | 6.35646i | −0.770562 | + | 0.614502i | −0.927808 | − | 0.373057i | \(-0.878310\pi\) |
0.157247 | + | 0.987559i | \(0.449738\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.90055 | − | 2.38321i | 0.182039 | − | 0.228270i | −0.682436 | − | 0.730945i | \(-0.739079\pi\) |
0.864475 | + | 0.502675i | \(0.167651\pi\) | |||||||
\(110\) | 4.34489 | − | 19.0362i | 0.414269 | − | 1.81503i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.80666 | − | 37.6609i | −0.265204 | − | 3.55863i | ||||
\(113\) | 7.60077 | − | 6.06141i | 0.715020 | − | 0.570210i | −0.196976 | − | 0.980408i | \(-0.563112\pi\) |
0.911996 | + | 0.410199i | \(0.134541\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −24.3413 | − | 5.55575i | −2.26984 | − | 0.518076i | ||||
\(116\) | − | 14.6069i | − | 1.35622i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −16.5688 | − | 3.78172i | −1.52528 | − | 0.348135i | ||||
\(119\) | 11.3039 | + | 7.71374i | 1.03623 | + | 0.707117i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.17293 | − | 5.13894i | −0.106630 | − | 0.467177i | ||||
\(122\) | 21.0553 | + | 26.4025i | 1.90625 | + | 2.39037i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −44.9681 | + | 10.2637i | −4.03825 | + | 0.921705i | ||||
\(125\) | 0.664359 | + | 2.91075i | 0.0594221 | + | 0.260345i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.361736 | + | 1.58487i | −0.0320989 | + | 0.140634i | −0.988438 | − | 0.151624i | \(-0.951550\pi\) |
0.956339 | + | 0.292259i | \(0.0944068\pi\) | |||||||
\(128\) | − | 32.1975i | − | 2.84588i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 4.49137 | − | 19.6780i | 0.393919 | − | 1.72587i | ||||
\(131\) | −5.01771 | + | 2.41640i | −0.438399 | + | 0.211122i | −0.640046 | − | 0.768336i | \(-0.721085\pi\) |
0.201647 | + | 0.979458i | \(0.435371\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.667008 | − | 0.262099i | −0.0578369 | − | 0.0227269i | ||||
\(134\) | −19.5261 | − | 15.5715i | −1.68679 | − | 1.34517i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 37.2706 | + | 29.7223i | 3.19593 | + | 2.54867i | ||||
\(137\) | 5.88936 | + | 12.2294i | 0.503162 | + | 1.04483i | 0.985631 | + | 0.168913i | \(0.0540258\pi\) |
−0.482469 | + | 0.875913i | \(0.660260\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.46003 | − | 11.3379i | 0.463114 | − | 0.961666i | −0.530378 | − | 0.847761i | \(-0.677950\pi\) |
0.993492 | − | 0.113905i | \(-0.0363358\pi\) | |||||||
\(140\) | 35.3494 | + | 24.1222i | 2.98757 | + | 2.03870i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.63909 | − | 4.16037i | −0.724976 | − | 0.349130i | ||||
\(143\) | 1.31778 | + | 5.77356i | 0.110198 | + | 0.482809i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.35783 | + | 5.07020i | 0.527989 | + | 0.421057i | ||||
\(146\) | −22.9007 | −1.89528 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 31.9163 | 2.62350 | ||||||||
\(149\) | −13.7999 | − | 11.0051i | −1.13053 | − | 0.901569i | −0.134531 | − | 0.990909i | \(-0.542953\pi\) |
−0.996001 | + | 0.0893399i | \(0.971524\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.46652 | + | 6.42522i | 0.119343 | + | 0.522877i | 0.998892 | + | 0.0470678i | \(0.0149877\pi\) |
−0.879548 | + | 0.475809i | \(0.842155\pi\) | |||||||
\(152\) | −2.24919 | − | 1.08316i | −0.182434 | − | 0.0878555i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −17.0219 | − | 2.57283i | −1.37166 | − | 0.207324i | ||||
\(155\) | 11.1415 | − | 23.1355i | 0.894906 | − | 1.85829i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.49186 | + | 7.25092i | 0.278681 | + | 0.578686i | 0.992584 | − | 0.121558i | \(-0.0387889\pi\) |
−0.713904 | + | 0.700244i | \(0.753075\pi\) | |||||||
\(158\) | 18.2121 | + | 14.5236i | 1.44887 | + | 1.15544i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 47.7939 | + | 38.1144i | 3.77844 | + | 3.01321i | ||||
\(161\) | −3.28984 | + | 21.7656i | −0.259275 | + | 1.71537i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.76194 | − | 0.848503i | 0.138005 | − | 0.0664599i | −0.363607 | − | 0.931553i | \(-0.618455\pi\) |
0.501612 | + | 0.865093i | \(0.332740\pi\) | |||||||
\(164\) | −1.14828 | + | 5.03096i | −0.0896659 | + | 0.392852i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 3.05759i | − | 0.237315i | ||||||
\(167\) | −0.178441 | + | 0.781800i | −0.0138082 | + | 0.0604975i | −0.981363 | − | 0.192165i | \(-0.938449\pi\) |
0.967554 | + | 0.252663i | \(0.0813062\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.53057 | − | 6.70587i | −0.117736 | − | 0.515836i | ||||
\(170\) | −41.1379 | + | 9.38947i | −3.15514 | + | 0.720139i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 20.0547 | + | 25.1478i | 1.52916 | + | 1.91750i | ||||
\(173\) | 3.18902 | + | 13.9720i | 0.242457 | + | 1.06227i | 0.938773 | + | 0.344537i | \(0.111964\pi\) |
−0.696316 | + | 0.717736i | \(0.745179\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −10.1270 | + | 3.11918i | −0.765527 | + | 0.235788i | ||||
\(176\) | −33.3083 | − | 7.60241i | −2.51071 | − | 0.573053i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 45.3380i | − | 3.39823i | ||||||
\(179\) | 4.91685 | + | 1.12224i | 0.367502 | + | 0.0838800i | 0.402284 | − | 0.915515i | \(-0.368216\pi\) |
−0.0347817 | + | 0.999395i | \(0.511074\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.24460 | − | 3.38496i | 0.315499 | − | 0.251602i | −0.452917 | − | 0.891553i | \(-0.649617\pi\) |
0.768416 | + | 0.639951i | \(0.221045\pi\) | |||||||
\(182\) | −17.5957 | − | 2.65956i | −1.30428 | − | 0.197140i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −17.0629 | + | 74.7577i | −1.25790 | + | 5.51121i | ||||
\(185\) | −11.0785 | + | 13.8920i | −0.814505 | + | 1.02136i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 9.67936 | − | 7.71903i | 0.707825 | − | 0.564471i | ||||
\(188\) | 42.1133 | + | 20.2807i | 3.07142 | + | 1.47912i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.99087 | − | 0.958755i | 0.144433 | − | 0.0695554i | ||||
\(191\) | 9.56076 | − | 19.8531i | 0.691793 | − | 1.43652i | −0.198021 | − | 0.980198i | \(-0.563451\pi\) |
0.889814 | − | 0.456324i | \(-0.150834\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.46536 | + | 4.55828i | 0.681331 | + | 0.328112i | 0.742338 | − | 0.670025i | \(-0.233717\pi\) |
−0.0610068 | + | 0.998137i | \(0.519431\pi\) | |||||||
\(194\) | −2.94364 | + | 3.69121i | −0.211341 | + | 0.265013i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 18.8927 | − | 32.6608i | 1.34948 | − | 2.33292i | ||||
\(197\) | − | 2.45389i | − | 0.174833i | −0.996172 | − | 0.0874164i | \(-0.972139\pi\) | ||
0.996172 | − | 0.0874164i | \(-0.0278611\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.14326 | − | 18.9862i | 0.648149 | − | 1.34589i | −0.274997 | − | 0.961445i | \(-0.588677\pi\) |
0.923146 | − | 0.384450i | \(-0.125609\pi\) | |||||||
\(200\) | −35.9865 | + | 8.21368i | −2.54463 | + | 0.580795i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.88307 | − | 16.3694i | −0.554651 | − | 1.15175i | ||||
\(203\) | 4.04128 | − | 5.92222i | 0.283642 | − | 0.415658i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.79121 | − | 2.24610i | −0.125103 | − | 0.156874i | ||||
\(206\) | 0.576442 | − | 0.277600i | 0.0401626 | − | 0.0193413i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −34.4312 | − | 7.85871i | −2.38738 | − | 0.544903i | ||||
\(209\) | −0.404228 | + | 0.506886i | −0.0279611 | + | 0.0350621i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.2934 | − | 16.6694i | −0.915154 | − | 1.14757i | −0.988645 | − | 0.150271i | \(-0.951985\pi\) |
0.0734905 | − | 0.997296i | \(-0.476586\pi\) | |||||||
\(212\) | −3.33503 | − | 6.92526i | −0.229051 | − | 0.475629i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −27.7150 | −1.89456 | ||||||||
\(215\) | −17.9071 | −1.22125 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −21.0715 | − | 8.28000i | −1.43043 | − | 0.562083i | ||||
\(218\) | 8.07886 | − | 1.84395i | 0.547169 | − | 0.124888i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 30.2690 | − | 24.1387i | 2.04074 | − | 1.62743i | ||||
\(221\) | 10.0057 | − | 7.97925i | 0.673054 | − | 0.536743i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.73095 | + | 1.30805i | −0.383773 | + | 0.0875937i | −0.410055 | − | 0.912061i | \(-0.634490\pi\) |
0.0262818 | + | 0.999655i | \(0.491633\pi\) | |||||||
\(224\) | 30.3797 | − | 44.5193i | 2.02983 | − | 2.97457i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 26.4285 | 1.75800 | ||||||||
\(227\) | −1.71036 | −0.113520 | −0.0567602 | − | 0.998388i | \(-0.518077\pi\) | ||||
−0.0567602 | + | 0.998388i | \(0.518077\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.18552 | − | 16.9974i | −0.540915 | − | 1.12322i | −0.974970 | − | 0.222335i | \(-0.928632\pi\) |
0.434056 | − | 0.900886i | \(-0.357082\pi\) | |||||||
\(230\) | −42.3184 | − | 53.0656i | −2.79039 | − | 3.49904i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 15.5717 | − | 19.5263i | 1.02233 | − | 1.28197i | ||||
\(233\) | −6.22666 | − | 1.42120i | −0.407922 | − | 0.0931056i | 0.0136357 | − | 0.999907i | \(-0.495659\pi\) |
−0.421558 | + | 0.906801i | \(0.638517\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −23.4453 | + | 11.2907i | −1.52941 | + | 0.736523i | ||||
\(236\) | −21.0099 | − | 26.3456i | −1.36763 | − | 1.71495i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 10.9510 | + | 35.5545i | 0.709850 | + | 2.30465i | ||||
\(239\) | −2.07872 | − | 4.31651i | −0.134461 | − | 0.279212i | 0.822856 | − | 0.568249i | \(-0.192379\pi\) |
−0.957318 | + | 0.289037i | \(0.906665\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −14.6103 | + | 3.33471i | −0.941134 | + | 0.214808i | −0.665452 | − | 0.746441i | \(-0.731761\pi\) |
−0.275683 | + | 0.961249i | \(0.588904\pi\) | |||||||
\(242\) | 6.21732 | − | 12.9104i | 0.399664 | − | 0.829912i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 66.9590i | 4.28661i | ||||||||
\(245\) | 7.65817 | + | 19.5602i | 0.489263 | + | 1.24966i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.417856 | + | 0.523975i | −0.0265875 | + | 0.0333397i | ||||
\(248\) | −71.0544 | − | 34.2180i | −4.51196 | − | 2.17285i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −3.52155 | + | 7.31257i | −0.222722 | + | 0.462488i | ||||
\(251\) | −6.93459 | + | 3.33952i | −0.437707 | + | 0.210789i | −0.639742 | − | 0.768590i | \(-0.720959\pi\) |
0.202035 | + | 0.979378i | \(0.435245\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 17.9421 | + | 8.64046i | 1.12801 | + | 0.543221i | ||||
\(254\) | −3.45511 | + | 2.75536i | −0.216793 | + | 0.172887i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 21.1156 | − | 26.4781i | 1.31973 | − | 1.65488i | ||||
\(257\) | −0.244069 | + | 1.06934i | −0.0152246 | + | 0.0667033i | −0.981970 | − | 0.189039i | \(-0.939463\pi\) |
0.966745 | + | 0.255742i | \(0.0823199\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.9401 | + | 8.83026i | 0.804060 | + | 0.548686i | ||||
\(260\) | 31.2895 | − | 24.9525i | 1.94049 | − | 1.54749i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −14.7604 | − | 3.36895i | −0.911898 | − | 0.208135i | ||||
\(263\) | 2.81416i | 0.173529i | 0.996229 | + | 0.0867643i | \(0.0276527\pi\) | ||||
−0.996229 | + | 0.0867643i | \(0.972347\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.17193 | + | 0.952215i | 0.256279 | + | 0.0584941i | ||||
\(266\) | −0.973416 | − | 1.68762i | −0.0596840 | − | 0.103474i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −11.0192 | − | 48.2782i | −0.673104 | − | 2.94906i | ||||
\(269\) | 17.7274 | + | 22.2294i | 1.08086 | + | 1.35535i | 0.930320 | + | 0.366749i | \(0.119529\pi\) |
0.150538 | + | 0.988604i | \(0.451899\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 28.4023 | − | 6.48263i | 1.72531 | − | 0.393792i | 0.758987 | − | 0.651106i | \(-0.225695\pi\) |
0.966328 | + | 0.257314i | \(0.0828374\pi\) | |||||||
\(272\) | 16.4291 | + | 71.9805i | 0.996160 | + | 4.36446i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.21096 | + | 35.9746i | −0.496042 | + | 2.17330i | ||||
\(275\) | 9.58621i | 0.578070i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.11057 | + | 18.0096i | −0.246980 | + | 1.08209i | 0.687531 | + | 0.726155i | \(0.258695\pi\) |
−0.934511 | + | 0.355935i | \(0.884163\pi\) | |||||||
\(278\) | 30.8220 | − | 14.8431i | 1.84858 | − | 0.890228i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 21.5391 | + | 69.9306i | 1.28721 | + | 4.17915i | ||||
\(281\) | 12.2493 | + | 9.76846i | 0.730729 | + | 0.582737i | 0.916585 | − | 0.399840i | \(-0.130934\pi\) |
−0.185856 | + | 0.982577i | \(0.559506\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.4090 | − | 12.2882i | −0.915968 | − | 0.730460i | 0.0473341 | − | 0.998879i | \(-0.484927\pi\) |
−0.963302 | + | 0.268419i | \(0.913499\pi\) | |||||||
\(284\) | −8.24915 | − | 17.1295i | −0.489497 | − | 1.01645i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.98510 | + | 14.5047i | −0.413038 | + | 0.857682i | ||||
\(287\) | −1.85747 | + | 1.72206i | −0.109643 | + | 0.101650i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.78842 | − | 4.23228i | −0.516966 | − | 0.248958i | ||||
\(290\) | 4.91921 | + | 21.5525i | 0.288866 | + | 1.26560i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −35.5009 | − | 28.3111i | −2.07754 | − | 1.65678i | ||||
\(293\) | −19.1934 | −1.12129 | −0.560645 | − | 0.828056i | \(-0.689447\pi\) | ||||
−0.560645 | + | 0.828056i | \(0.689447\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 18.7600 | 1.09225 | ||||||||
\(296\) | 42.6653 | + | 34.0245i | 2.47987 | + | 1.97763i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.6773 | − | 46.7804i | −0.618521 | − | 2.70992i | ||||
\(299\) | 18.5470 | + | 8.93175i | 1.07260 | + | 0.516536i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.17335 | + | 15.7444i | 0.0676305 | + | 0.907495i | ||||
\(302\) | −7.77352 | + | 16.1419i | −0.447316 | + | 0.928861i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.67757 | − | 3.48351i | −0.0962151 | − | 0.199793i | ||||
\(305\) | −29.1447 | − | 23.2421i | −1.66882 | − | 1.33084i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −12.3704 | − | 9.86507i | −0.706016 | − | 0.563029i | 0.203309 | − | 0.979115i | \(-0.434830\pi\) |
−0.909326 | + | 0.416085i | \(0.863402\pi\) | |||||||
\(308\) | −23.2069 | − | 25.0318i | −1.32233 | − | 1.42632i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 62.8938 | − | 30.2881i | 3.57213 | − | 1.72025i | ||||
\(311\) | 7.30205 | − | 31.9924i | 0.414061 | − | 1.81412i | −0.150358 | − | 0.988632i | \(-0.548043\pi\) |
0.564419 | − | 0.825488i | \(-0.309100\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.7644i | 1.28672i | 0.765564 | + | 0.643360i | \(0.222460\pi\) | ||||
−0.765564 | + | 0.643360i | \(0.777540\pi\) | |||||||
\(314\) | −4.86836 | + | 21.3297i | −0.274737 | + | 1.20370i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 10.2777 | + | 45.0294i | 0.578163 | + | 2.53310i | ||||
\(317\) | −22.8351 | + | 5.21197i | −1.28255 | + | 0.292733i | −0.808882 | − | 0.587971i | \(-0.799927\pi\) |
−0.473667 | + | 0.880704i | \(0.657070\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.04405 | − | 5.07108i | −0.226424 | − | 0.283926i | ||||
\(320\) | 17.9164 | + | 78.4969i | 1.00156 | + | 4.38811i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −43.8840 | + | 40.6847i | −2.44556 | + | 2.26727i | ||||
\(323\) | 1.36594 | + | 0.311767i | 0.0760030 | + | 0.0173472i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.90938i | 0.549674i | ||||||||
\(326\) | 5.18300 | + | 1.18299i | 0.287060 | + | 0.0655195i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.89828 | + | 5.50120i | −0.380894 | + | 0.303753i | ||||
\(329\) | 11.4633 | + | 19.8740i | 0.631995 | + | 1.09569i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.82186 | − | 12.3634i | 0.155103 | − | 0.679553i | −0.836252 | − | 0.548346i | \(-0.815258\pi\) |
0.991355 | − | 0.131207i | \(-0.0418852\pi\) | |||||||
\(332\) | 3.77995 | − | 4.73990i | 0.207452 | − | 0.260136i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.70437 | + | 1.35919i | −0.0932592 | + | 0.0743717i | ||||
\(335\) | 24.8386 | + | 11.9616i | 1.35708 | + | 0.653533i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.43373 | − | 1.65360i | 0.187047 | − | 0.0900771i | −0.338016 | − | 0.941140i | \(-0.609756\pi\) |
0.525063 | + | 0.851063i | \(0.324042\pi\) | |||||||
\(338\) | 8.11305 | − | 16.8469i | 0.441292 | − | 0.916352i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −75.3802 | − | 36.3012i | −4.08806 | − | 1.96871i | ||||
\(341\) | −12.7700 | + | 16.0131i | −0.691534 | + | 0.867157i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.6961 | − | 8.01496i | 0.901506 | − | 0.432767i | ||||
\(344\) | 54.9967i | 2.96522i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −16.9040 | + | 35.1014i | −0.908763 | + | 1.88707i | ||||
\(347\) | −4.35892 | + | 0.994896i | −0.233999 | + | 0.0534088i | −0.337912 | − | 0.941178i | \(-0.609721\pi\) |
0.103913 | + | 0.994586i | \(0.466864\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −6.92086 | − | 14.3713i | −0.370465 | − | 0.769278i | 0.629505 | − | 0.776996i | \(-0.283258\pi\) |
−0.999970 | + | 0.00771786i | \(0.997543\pi\) | |||||||
\(350\) | −26.8108 | − | 10.5352i | −1.43310 | − | 0.563132i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −30.4005 | − | 38.1210i | −1.62035 | − | 2.03186i | ||||
\(353\) | −13.1168 | + | 6.31673i | −0.698138 | + | 0.336206i | −0.749065 | − | 0.662497i | \(-0.769497\pi\) |
0.0509266 | + | 0.998702i | \(0.483783\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 10.3192 | + | 2.35529i | 0.547686 | + | 0.125006i | ||||
\(356\) | 56.0492 | − | 70.2835i | 2.97060 | − | 3.72502i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.54815 | + | 10.7190i | 0.451784 | + | 0.566519i | ||||
\(359\) | −1.62133 | − | 3.36672i | −0.0855703 | − | 0.177688i | 0.853793 | − | 0.520613i | \(-0.174297\pi\) |
−0.939363 | + | 0.342925i | \(0.888582\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.9266 | 0.996138 | ||||||||
\(362\) | 14.7589 | 0.775708 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −23.9892 | − | 25.8757i | −1.25738 | − | 1.35625i | ||||
\(365\) | 24.6455 | − | 5.62517i | 1.29000 | − | 0.294435i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 8.56520 | − | 6.83052i | 0.447100 | − | 0.356550i | −0.373909 | − | 0.927465i | \(-0.621983\pi\) |
0.821009 | + | 0.570915i | \(0.193411\pi\) | |||||||
\(368\) | −92.8508 | + | 74.0461i | −4.84018 | + | 3.85992i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −47.0924 | + | 10.7485i | −2.44822 | + | 0.558790i | ||||
\(371\) | 0.563854 | − | 3.73048i | 0.0292739 | − | 0.193677i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 32.1769 | 1.66605 | 0.833027 | − | 0.553232i | \(-0.186606\pi\) | ||||
0.833027 | + | 0.553232i | \(0.186606\pi\) | |||||||
\(374\) | 33.6559 | 1.74031 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 34.6762 | + | 72.0059i | 1.78829 | + | 3.71342i | ||||
\(377\) | −4.18039 | − | 5.24204i | −0.215301 | − | 0.269979i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.16842 | + | 2.71912i | −0.111384 | + | 0.139672i | −0.834398 | − | 0.551162i | \(-0.814185\pi\) |
0.723014 | + | 0.690833i | \(0.242756\pi\) | |||||||
\(380\) | 4.27154 | + | 0.974950i | 0.219125 | + | 0.0500139i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 53.9706 | − | 25.9909i | 2.76138 | − | 1.32981i | ||||
\(383\) | 15.1494 | + | 18.9968i | 0.774100 | + | 0.970691i | 0.999994 | − | 0.00346120i | \(-0.00110174\pi\) |
−0.225894 | + | 0.974152i | \(0.572530\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 18.9507 | − | 1.41229i | 0.965818 | − | 0.0719770i | ||||
\(386\) | 12.3916 | + | 25.7315i | 0.630718 | + | 1.30970i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −9.12653 | + | 2.08307i | −0.463329 | + | 0.105752i | ||||
\(389\) | −11.1089 | + | 23.0679i | −0.563245 | + | 1.16959i | 0.403768 | + | 0.914861i | \(0.367700\pi\) |
−0.967013 | + | 0.254728i | \(0.918014\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 43.0354i | − | 2.17639i | ||||||
\(392\) | 60.0738 | − | 23.5200i | 3.03418 | − | 1.18794i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.15924 | − | 5.21552i | 0.209539 | − | 0.262754i | ||||
\(395\) | −23.1671 | − | 11.1567i | −1.16566 | − | 0.561353i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.366625 | + | 0.761304i | −0.0184004 | + | 0.0382088i | −0.909966 | − | 0.414682i | \(-0.863893\pi\) |
0.891566 | + | 0.452891i | \(0.149607\pi\) | |||||||
\(398\) | 51.6138 | − | 24.8559i | 2.58717 | − | 1.24591i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −51.5070 | − | 24.8044i | −2.57535 | − | 1.24022i | ||||
\(401\) | 7.59276 | − | 6.05502i | 0.379164 | − | 0.302373i | −0.415300 | − | 0.909685i | \(-0.636323\pi\) |
0.794464 | + | 0.607311i | \(0.207752\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.2005 | + | 16.5529i | −0.657564 | + | 0.824559i | ||||
\(404\) | 8.01624 | − | 35.1214i | 0.398823 | − | 1.74736i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.6272 | − | 5.73732i | 0.924455 | − | 0.284738i | ||||
\(407\) | 11.0804 | − | 8.83632i | 0.549235 | − | 0.438000i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.13723 | − | 1.17254i | −0.254019 | − | 0.0579783i | 0.0936148 | − | 0.995608i | \(-0.470158\pi\) |
−0.347634 | + | 0.937630i | \(0.613015\pi\) | |||||||
\(410\) | − | 7.80988i | − | 0.385703i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.23679 | + | 0.282289i | 0.0609323 | + | 0.0139074i | ||||
\(413\) | −1.22923 | − | 16.4944i | −0.0604866 | − | 0.811635i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.751043 | + | 3.29054i | 0.0368673 | + | 0.161526i | ||||
\(416\) | −31.4254 | − | 39.4062i | −1.54076 | − | 1.93205i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.71830 | + | 0.392190i | −0.0840447 | + | 0.0191827i | ||||
\(419\) | 6.55607 | + | 28.7240i | 0.320285 | + | 1.40326i | 0.837047 | + | 0.547132i | \(0.184280\pi\) |
−0.516761 | + | 0.856129i | \(0.672863\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.72489 | + | 11.9385i | −0.132803 | + | 0.581849i | 0.864108 | + | 0.503307i | \(0.167884\pi\) |
−0.996911 | + | 0.0785417i | \(0.974974\pi\) | |||||||
\(422\) | − | 57.9608i | − | 2.82149i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.92447 | − | 12.8129i | 0.142025 | − | 0.622251i | ||||
\(425\) | 18.6646 | − | 8.98840i | 0.905366 | − | 0.436001i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.5255 | + | 27.1478i | −0.896512 | + | 1.31378i | ||||
\(428\) | −42.9640 | − | 34.2627i | −2.07675 | − | 1.65615i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −38.0598 | − | 30.3517i | −1.83541 | − | 1.46369i | ||||
\(431\) | 8.65432 | + | 17.9709i | 0.416864 | + | 0.865626i | 0.998633 | + | 0.0522725i | \(0.0166464\pi\) |
−0.581769 | + | 0.813354i | \(0.697639\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.39220 | + | 11.1970i | −0.259133 | + | 0.538094i | −0.989426 | − | 0.145039i | \(-0.953669\pi\) |
0.730293 | + | 0.683134i | \(0.239383\pi\) | |||||||
\(434\) | −30.7512 | − | 53.3135i | −1.47611 | − | 2.55913i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.8035 | + | 7.12900i | 0.708960 | + | 0.341417i | ||||
\(437\) | 0.501488 | + | 2.19716i | 0.0239894 | + | 0.105104i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.4607 | + | 17.1144i | 1.02426 | + | 0.816824i | 0.983237 | − | 0.182334i | \(-0.0583653\pi\) |
0.0410281 | + | 0.999158i | \(0.486937\pi\) | |||||||
\(440\) | 66.1965 | 3.15579 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 34.7906 | 1.65482 | ||||||||
\(443\) | −17.9005 | − | 14.2752i | −0.850480 | − | 0.678236i | 0.0979602 | − | 0.995190i | \(-0.468768\pi\) |
−0.948441 | + | 0.316955i | \(0.897340\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.1365 | + | 48.7922i | 0.527921 | + | 2.31297i | ||||
\(446\) | −14.3977 | − | 6.93356i | −0.681750 | − | 0.328314i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 67.8429 | − | 20.8961i | 3.20528 | − | 0.987247i | ||||
\(449\) | 5.24856 | − | 10.8987i | 0.247695 | − | 0.514344i | −0.739638 | − | 0.673005i | \(-0.765003\pi\) |
0.987333 | + | 0.158661i | \(0.0507177\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.994217 | + | 2.06451i | 0.0468158 | + | 0.0972141i | ||||
\(452\) | 40.9698 | + | 32.6723i | 1.92706 | + | 1.53678i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −3.63520 | − | 2.89898i | −0.170609 | − | 0.136056i | ||||
\(455\) | 19.5896 | − | 1.45990i | 0.918374 | − | 0.0684413i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.92848 | + | 3.33658i | −0.324101 | + | 0.156079i | −0.588858 | − | 0.808236i | \(-0.700422\pi\) |
0.264757 | + | 0.964315i | \(0.414708\pi\) | |||||||
\(458\) | 11.4123 | − | 50.0005i | 0.533261 | − | 2.33637i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | − | 134.579i | − | 6.27478i | ||||||
\(461\) | 2.31255 | − | 10.1319i | 0.107706 | − | 0.471891i | −0.892093 | − | 0.451851i | \(-0.850764\pi\) |
0.999799 | − | 0.0200393i | \(-0.00637915\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.620618 | + | 2.71911i | 0.0288426 | + | 0.126368i | 0.987300 | − | 0.158869i | \(-0.0507849\pi\) |
−0.958457 | + | 0.285237i | \(0.907928\pi\) | |||||||
\(464\) | 37.7111 | − | 8.60732i | 1.75069 | − | 0.399585i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.8253 | − | 13.5745i | −0.501473 | − | 0.628828i | ||||
\(467\) | −5.42836 | − | 23.7832i | −0.251195 | − | 1.10056i | −0.930382 | − | 0.366591i | \(-0.880525\pi\) |
0.679187 | − | 0.733965i | \(-0.262332\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.88949 | − | 22.6226i | 0.410479 | − | 1.04461i | ||||
\(470\) | −68.9680 | − | 15.7415i | −3.18126 | − | 0.726101i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 57.6163i | − | 2.65200i | ||||||
\(473\) | 13.9248 | + | 3.17825i | 0.640263 | + | 0.146136i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.848176 | + | 0.676398i | −0.0389170 | + | 0.0310353i | ||||
\(476\) | −26.9779 | + | 68.6551i | −1.23653 | + | 3.14680i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.89816 | − | 12.6977i | 0.132559 | − | 0.580778i | ||||
\(479\) | 0.244479 | − | 0.306568i | 0.0111706 | − | 0.0140074i | −0.776215 | − | 0.630468i | \(-0.782863\pi\) |
0.787385 | + | 0.616461i | \(0.211434\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.4539 | − | 9.13421i | 0.522255 | − | 0.416484i | ||||
\(482\) | −36.7050 | − | 17.6762i | −1.67187 | − | 0.805130i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 25.5986 | − | 12.3277i | 1.16357 | − | 0.560348i | ||||
\(485\) | 2.26123 | − | 4.69549i | 0.102677 | − | 0.213211i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.9031 | + | 7.65855i | 0.720640 | + | 0.347042i | 0.757995 | − | 0.652260i | \(-0.226179\pi\) |
−0.0373551 | + | 0.999302i | \(0.511893\pi\) | |||||||
\(488\) | −71.3818 | + | 89.5100i | −3.23130 | + | 4.05193i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −16.8769 | + | 54.5536i | −0.762421 | + | 2.46448i | ||||
\(491\) | − | 10.2550i | − | 0.462802i | −0.972859 | − | 0.231401i | \(-0.925669\pi\) | ||
0.972859 | − | 0.231401i | \(-0.0743309\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.08167 | + | 12.6287i | −0.273905 | + | 0.568769i | ||||
\(494\) | −1.77623 | + | 0.405412i | −0.0799162 | + | 0.0182403i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −52.9961 | − | 110.048i | −2.37960 | − | 4.94128i | ||||
\(497\) | 1.39469 | − | 9.22728i | 0.0625602 | − | 0.413900i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.1202 | − | 25.2300i | −0.900706 | − | 1.12945i | −0.991044 | − | 0.133538i | \(-0.957366\pi\) |
0.0903377 | − | 0.995911i | \(-0.471205\pi\) | |||||||
\(500\) | −14.4993 | + | 6.98250i | −0.648429 | + | 0.312267i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −20.3991 | − | 4.65597i | −0.910458 | − | 0.207806i | ||||
\(503\) | −10.4008 | + | 13.0422i | −0.463749 | + | 0.581523i | −0.957628 | − | 0.288008i | \(-0.907007\pi\) |
0.493879 | + | 0.869531i | \(0.335579\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 12.5045 | + | 15.6802i | 0.556444 | + | 0.697758i | ||||
\(506\) | 23.4890 | + | 48.7755i | 1.04422 | + | 2.16833i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.76248 | −0.388772 | ||||||||
\(509\) | −11.5471 | −0.511816 | −0.255908 | − | 0.966701i | \(-0.582374\pi\) | ||||
−0.255908 | + | 0.966701i | \(0.582374\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.56069 | − | 21.3004i | −0.290228 | − | 0.942276i | ||||
\(512\) | 26.9779 | − | 6.15754i | 1.19227 | − | 0.272127i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −2.33122 | + | 1.85909i | −0.102826 | + | 0.0820007i | ||||
\(515\) | −0.552172 | + | 0.440342i | −0.0243316 | + | 0.0194038i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 20.2354 | − | 4.61859i | 0.889951 | − | 0.203125i | ||||
\(518\) | 12.5361 | + | 40.7008i | 0.550806 | + | 1.78829i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 68.4281 | 3.00077 | ||||||||
\(521\) | −43.6211 | −1.91107 | −0.955537 | − | 0.294871i | \(-0.904723\pi\) | ||||
−0.955537 | + | 0.294871i | \(0.904723\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 18.3822 | + | 38.1710i | 0.803797 | + | 1.66910i | 0.741412 | + | 0.671051i | \(0.234157\pi\) |
0.0623858 | + | 0.998052i | \(0.480129\pi\) | |||||||
\(524\) | −18.7168 | − | 23.4701i | −0.817646 | − | 1.02530i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.76987 | + | 5.98123i | −0.207976 | + | 0.260794i | ||||
\(527\) | 43.1515 | + | 9.84905i | 1.87971 | + | 0.429031i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 41.6462 | − | 20.0558i | 1.81070 | − | 0.871989i | ||||
\(530\) | 7.25307 | + | 9.09506i | 0.315053 | + | 0.395064i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.577317 | − | 3.81955i | 0.0250299 | − | 0.165598i | ||||
\(533\) | 1.02773 | + | 2.13411i | 0.0445161 | + | 0.0924387i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 29.8265 | − | 6.80771i | 1.28951 | − | 0.294323i | ||||
\(536\) | 36.7368 | − | 76.2848i | 1.58679 | − | 3.29500i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 77.2937i | 3.33237i | ||||||||
\(539\) | −2.48346 | − | 16.5695i | −0.106970 | − | 0.713699i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.0846 | + | 26.4392i | −0.906496 | + | 1.13671i | 0.0836249 | + | 0.996497i | \(0.473350\pi\) |
−0.990121 | + | 0.140213i | \(0.955221\pi\) | |||||||
\(542\) | 71.3541 | + | 34.3623i | 3.06492 | + | 1.47599i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −45.7180 | + | 94.9344i | −1.96014 | + | 4.07028i | ||||
\(545\) | −8.24143 | + | 3.96886i | −0.353024 | + | 0.170007i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 32.6267 | + | 15.7122i | 1.39502 | + | 0.671805i | 0.972144 | − | 0.234384i | \(-0.0753073\pi\) |
0.422873 | + | 0.906189i | \(0.361022\pi\) | |||||||
\(548\) | −57.2023 | + | 45.6173i | −2.44356 | + | 1.94868i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −16.2482 | + | 20.3746i | −0.692825 | + | 0.868775i | ||||
\(551\) | 0.163337 | − | 0.715626i | 0.00695839 | − | 0.0304867i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.29128 | + | 21.1002i | −0.352581 | + | 0.897272i | ||||
\(554\) | −39.2620 | + | 31.3104i | −1.66808 | + | 1.33025i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 66.1303 | + | 15.0938i | 2.80455 | + | 0.640120i | ||||
\(557\) | 2.84407i | 0.120507i | 0.998183 | + | 0.0602535i | \(0.0191909\pi\) | ||||
−0.998183 | + | 0.0602535i | \(0.980809\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 14.3942 | + | 3.28539i | 0.608812 | + | 0.138957i | ||||
\(560\) | −41.4470 | + | 105.477i | −1.75145 | + | 4.45722i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 9.47755 | + | 41.5238i | 0.399786 | + | 1.75158i | ||||
\(563\) | 5.45793 | + | 6.84403i | 0.230024 | + | 0.288441i | 0.883427 | − | 0.468569i | \(-0.155230\pi\) |
−0.653402 | + | 0.757011i | \(0.726659\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −28.4420 | + | 6.49171i | −1.19657 | + | 0.273108i | ||||
\(566\) | −11.9223 | − | 52.2350i | −0.501131 | − | 2.19560i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 7.23363 | − | 31.6926i | 0.303516 | − | 1.32979i | ||||
\(569\) | − | 12.6997i | − | 0.532400i | −0.963918 | − | 0.266200i | \(-0.914232\pi\) | ||
0.963918 | − | 0.266200i | \(-0.0857681\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.77390 | + | 16.5345i | −0.157933 | + | 0.691949i | 0.832508 | + | 0.554013i | \(0.186904\pi\) |
−0.990441 | + | 0.137936i | \(0.955953\pi\) | |||||||
\(572\) | −28.7599 | + | 13.8500i | −1.20251 | + | 0.579098i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −6.86668 | + | 0.511735i | −0.286610 | + | 0.0213594i | ||||
\(575\) | 26.0527 | + | 20.7763i | 1.08647 | + | 0.866432i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −22.3053 | − | 17.7879i | −0.928582 | − | 0.740520i | 0.0373534 | − | 0.999302i | \(-0.488107\pi\) |
−0.965936 | + | 0.258782i | \(0.916679\pi\) | |||||||
\(578\) | −11.5054 | − | 23.8913i | −0.478563 | − | 0.993746i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −19.0185 | + | 39.4922i | −0.789698 | + | 1.63983i | ||||
\(581\) | 2.84393 | − | 0.875949i | 0.117986 | − | 0.0363405i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.07515 | − | 1.48091i | −0.127360 | − | 0.0613331i | ||||
\(584\) | −17.2762 | − | 75.6918i | −0.714892 | − | 3.13215i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −40.7938 | − | 32.5319i | −1.68517 | − | 1.34388i | ||||
\(587\) | −1.15074 | −0.0474962 | −0.0237481 | − | 0.999718i | \(-0.507560\pi\) | ||||
−0.0237481 | + | 0.999718i | \(0.507560\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.31786 | −0.0955059 | ||||||||
\(590\) | 39.8726 | + | 31.7974i | 1.64153 | + | 1.30908i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 18.8071 | + | 82.3993i | 0.772968 | + | 3.38659i | ||||
\(593\) | −1.55219 | − | 0.747496i | −0.0637408 | − | 0.0306960i | 0.401742 | − | 0.915753i | \(-0.368405\pi\) |
−0.465483 | + | 0.885057i | \(0.654119\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −20.5187 | − | 35.5733i | −0.841184 | − | 1.45836i | ||||
\(596\) | 41.2803 | − | 85.7193i | 1.69090 | − | 3.51120i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 24.2809 | + | 50.4198i | 0.992920 | + | 2.06182i | ||||
\(599\) | −17.9381 | − | 14.3051i | −0.732929 | − | 0.584491i | 0.184291 | − | 0.982872i | \(-0.441001\pi\) |
−0.917220 | + | 0.398380i | \(0.869572\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 32.9543 | + | 26.2802i | 1.34424 | + | 1.07199i | 0.990626 | + | 0.136599i | \(0.0436171\pi\) |
0.353609 | + | 0.935393i | \(0.384954\pi\) | |||||||
\(602\) | −24.1923 | + | 35.4521i | −0.986004 | + | 1.44492i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −32.0060 | + | 15.4133i | −1.30231 | + | 0.627157i | ||||
\(605\) | −3.51978 | + | 15.4212i | −0.143100 | + | 0.626960i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 27.4582i | − | 1.11449i | −0.830347 | − | 0.557247i | \(-0.811858\pi\) | ||
0.830347 | − | 0.557247i | \(-0.188142\pi\) | |||||||
\(608\) | 1.22786 | − | 5.37960i | 0.0497963 | − | 0.218172i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −22.5500 | − | 98.7979i | −0.913022 | − | 4.00021i | ||||
\(611\) | 20.9176 | − | 4.77429i | 0.846234 | − | 0.193147i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.1730 | − | 30.3120i | −0.976340 | − | 1.22429i | −0.974522 | − | 0.224293i | \(-0.927993\pi\) |
−0.00181824 | − | 0.999998i | \(-0.500579\pi\) | |||||||
\(614\) | −9.57128 | − | 41.9345i | −0.386266 | − | 1.69234i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.33746 | − | 58.2019i | −0.174761 | − | 2.34502i | ||||
\(617\) | 1.98842 | + | 0.453844i | 0.0800508 | + | 0.0182711i | 0.262359 | − | 0.964970i | \(-0.415500\pi\) |
−0.182308 | + | 0.983241i | \(0.558357\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.0855953i | 0.00344037i | 0.999999 | + | 0.00172018i | \(0.000547552\pi\) | ||||
−0.999999 | + | 0.00172018i | \(0.999452\pi\) | |||||||
\(620\) | 134.942 | + | 30.7997i | 5.41941 | + | 1.23695i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 69.7454 | − | 55.6201i | 2.79653 | − | 2.23016i | ||||
\(623\) | 42.1699 | − | 12.9886i | 1.68950 | − | 0.520378i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 6.44971 | − | 28.2580i | 0.257988 | − | 1.13032i | ||||
\(626\) | −38.5846 | + | 48.3835i | −1.54215 | + | 1.93380i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −33.9158 | + | 27.0470i | −1.35339 | + | 1.07929i | ||||
\(629\) | −27.5939 | − | 13.2885i | −1.10024 | − | 0.529849i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.7609 | + | 17.2216i | −1.42362 | + | 0.685580i | −0.977800 | − | 0.209543i | \(-0.932803\pi\) |
−0.445821 | + | 0.895122i | \(0.647088\pi\) | |||||||
\(632\) | −34.2646 | + | 71.1513i | −1.36297 | + | 2.83025i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −57.3679 | − | 27.6269i | −2.27837 | − | 1.09721i | ||||
\(635\) | 3.04154 | − | 3.81397i | 0.120700 | − | 0.151353i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.56718 | − | 17.1281i | −0.101715 | − | 0.678640i | ||||
\(638\) | − | 17.6326i | − | 0.698081i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −41.9217 | + | 87.0514i | −1.65710 | + | 3.44101i | ||||
\(641\) | 38.8795 | − | 8.87399i | 1.53565 | − | 0.350501i | 0.630700 | − | 0.776027i | \(-0.282768\pi\) |
0.904947 | + | 0.425525i | \(0.139911\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.45301 | + | 13.3998i | 0.254482 | + | 0.528437i | 0.988597 | − | 0.150588i | \(-0.0481168\pi\) |
−0.734115 | + | 0.679026i | \(0.762403\pi\) | |||||||
\(644\) | −118.326 | + | 8.81817i | −4.66270 | + | 0.347484i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.37475 | + | 2.97784i | 0.0934332 | + | 0.117161i | ||||
\(647\) | 9.84255 | − | 4.73992i | 0.386951 | − | 0.186346i | −0.230286 | − | 0.973123i | \(-0.573966\pi\) |
0.617237 | + | 0.786777i | \(0.288252\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −14.5881 | − | 3.32963i | −0.572632 | − | 0.130699i | ||||
\(650\) | −16.7959 | + | 21.0614i | −0.658791 | + | 0.826098i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.57227 | + | 8.24137i | 0.257390 | + | 0.322757i | ||||
\(653\) | −13.3105 | − | 27.6396i | −0.520881 | − | 1.08162i | −0.981044 | − | 0.193786i | \(-0.937923\pi\) |
0.460162 | − | 0.887835i | \(-0.347791\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.7124 | 0.653009 | ||||||||
\(656\) | −13.6652 | −0.533538 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −9.32134 | + | 61.6702i | −0.363384 | + | 2.40416i | ||||
\(659\) | −34.5048 | + | 7.87550i | −1.34412 | + | 0.306786i | −0.833261 | − | 0.552880i | \(-0.813529\pi\) |
−0.510857 | + | 0.859666i | \(0.670672\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.9364 | + | 12.7089i | −0.619856 | + | 0.494319i | −0.882337 | − | 0.470619i | \(-0.844031\pi\) |
0.262481 | + | 0.964937i | \(0.415459\pi\) | |||||||
\(662\) | 26.9529 | − | 21.4943i | 1.04756 | − | 0.835398i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.1060 | − | 2.30662i | 0.392188 | − | 0.0895144i | ||||
\(665\) | 1.46211 | + | 1.57709i | 0.0566982 | + | 0.0611568i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −22.5465 | −0.873005 | ||||||||
\(668\) | −4.32244 | −0.167240 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 32.5176 | + | 67.5235i | 1.25626 | + | 2.60866i | ||||
\(671\) | 18.5382 | + | 23.2462i | 0.715660 | + | 0.897409i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.9857 | + | 21.2993i | −0.654749 | + | 0.821030i | −0.992760 | − | 0.120113i | \(-0.961674\pi\) |
0.338011 | + | 0.941142i | \(0.390246\pi\) | |||||||
\(674\) | 10.1008 | + | 2.30545i | 0.389069 | + | 0.0888025i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 33.4040 | − | 16.0865i | 1.28477 | − | 0.618712i | ||||
\(677\) | 3.58349 | + | 4.49355i | 0.137725 | + | 0.172701i | 0.845911 | − | 0.533325i | \(-0.179058\pi\) |
−0.708186 | + | 0.706026i | \(0.750486\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.27658 | − | 1.68047i | −0.164120 | − | 0.0644906i | ||||
\(680\) | −62.0684 | − | 128.886i | −2.38021 | − | 4.94256i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −54.2828 | + | 12.3897i | −2.07860 | + | 0.474426i | ||||
\(683\) | −8.42918 | + | 17.5034i | −0.322533 | + | 0.669748i | −0.997690 | − | 0.0679266i | \(-0.978362\pi\) |
0.675157 | + | 0.737674i | \(0.264076\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 40.7323i | − | 1.55630i | ||||||
\(686\) | 49.0710 | + | 11.2641i | 1.87354 | + | 0.430066i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −53.1074 | + | 66.5946i | −2.02470 | + | 2.53890i | ||||
\(689\) | −3.17882 | − | 1.53084i | −0.121103 | − | 0.0583202i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.06239 | − | 12.5887i | 0.230624 | − | 0.478896i | −0.753255 | − | 0.657728i | \(-0.771518\pi\) |
0.983880 | + | 0.178832i | \(0.0572319\pi\) | |||||||
\(692\) | −69.5989 | + | 33.5171i | −2.64575 | + | 1.27413i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −10.9508 | − | 5.27362i | −0.415686 | − | 0.200184i | ||||
\(695\) | −29.5242 | + | 23.5448i | −1.11992 | + | 0.893105i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.08744 | − | 3.87153i | 0.116945 | − | 0.146645i | ||||
\(698\) | 9.64908 | − | 42.2754i | 0.365223 | − | 1.60015i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −28.5381 | − | 49.4767i | −1.07864 | − | 1.87004i | ||||
\(701\) | 8.87667 | − | 7.07890i | 0.335267 | − | 0.267367i | −0.441356 | − | 0.897332i | \(-0.645502\pi\) |
0.776623 | + | 0.629966i | \(0.216931\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.56365 | + | 0.356894i | 0.0589743 | + | 0.0134605i | ||||
\(704\) | − | 64.2202i | − | 2.42039i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −38.5851 | − | 8.80680i | −1.45217 | − | 0.331448i | ||||
\(707\) | 12.9671 | − | 12.0218i | 0.487679 | − | 0.452125i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −3.84875 | − | 16.8625i | −0.144543 | − | 0.633284i | −0.994346 | − | 0.106184i | \(-0.966137\pi\) |
0.849803 | − | 0.527100i | \(-0.176721\pi\) | |||||||
\(710\) | 17.9404 | + | 22.4965i | 0.673290 | + | 0.844279i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 149.852 | − | 34.2027i | 5.61594 | − | 1.28180i | ||||
\(713\) | 15.8425 | + | 69.4106i | 0.593307 | + | 2.59945i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.95445 | − | 17.3256i | 0.147888 | − | 0.647939i | ||||
\(716\) | 27.1844i | 1.01593i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.26046 | − | 9.90371i | 0.0843595 | − | 0.369603i | ||||
\(719\) | −6.23567 | + | 3.00294i | −0.232551 | + | 0.111991i | −0.546531 | − | 0.837439i | \(-0.684052\pi\) |
0.313980 | + | 0.949430i | \(0.398338\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.423343 | + | 0.456633i | 0.0157661 | + | 0.0170059i | ||||
\(722\) | 40.2267 | + | 32.0798i | 1.49708 | + | 1.19389i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 22.8793 | + | 18.2457i | 0.850303 | + | 0.678094i | ||||
\(725\) | −4.70909 | − | 9.77852i | −0.174891 | − | 0.363165i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −1.33244 | + | 2.76683i | −0.0494173 | + | 0.102616i | −0.924215 | − | 0.381872i | \(-0.875280\pi\) |
0.874798 | + | 0.484488i | \(0.160994\pi\) | |||||||
\(728\) | −4.48369 | − | 60.1641i | −0.166177 | − | 2.22983i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 61.9160 | + | 29.8172i | 2.29161 | + | 1.10358i | ||||
\(731\) | −6.86831 | − | 30.0920i | −0.254034 | − | 1.11299i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −35.6911 | − | 28.4627i | −1.31828 | − | 1.05129i | −0.994453 | − | 0.105177i | \(-0.966459\pi\) |
−0.323827 | − | 0.946116i | \(-0.604970\pi\) | |||||||
\(734\) | 29.7819 | 1.09927 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −169.490 | −6.24748 | ||||||||
\(737\) | −17.1918 | − | 13.7100i | −0.633268 | − | 0.505015i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.36098 | + | 10.3441i | 0.0868502 | + | 0.380515i | 0.999608 | − | 0.0279849i | \(-0.00890902\pi\) |
−0.912758 | + | 0.408500i | \(0.866052\pi\) | |||||||
\(740\) | −86.2911 | − | 41.5556i | −3.17212 | − | 1.52761i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.52140 | − | 6.97306i | 0.276119 | − | 0.255989i | ||||
\(743\) | −13.5006 | + | 28.0342i | −0.495287 | + | 1.02847i | 0.492157 | + | 0.870506i | \(0.336209\pi\) |
−0.987444 | + | 0.157968i | \(0.949506\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.9816 | + | 47.7218i | 0.841980 | + | 1.74839i | ||||
\(746\) | 68.3889 | + | 54.5383i | 2.50389 | + | 1.99679i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 52.1738 | + | 41.6072i | 1.90766 | + | 1.52131i | ||||
\(749\) | −7.93989 | − | 25.7783i | −0.290117 | − | 0.941918i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.0103 | + | 10.1180i | −0.766677 | + | 0.369212i | −0.775991 | − | 0.630744i | \(-0.782750\pi\) |
0.00931362 | + | 0.999957i | \(0.497035\pi\) | |||||||
\(752\) | −27.5435 | + | 120.676i | −1.00441 | + | 4.40060i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 18.2270i | − | 0.663789i | ||||||
\(755\) | 4.40079 | − | 19.2811i | 0.160161 | − | 0.701711i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.20955 | − | 31.5871i | −0.262036 | − | 1.14805i | −0.919039 | − | 0.394166i | \(-0.871034\pi\) |
0.657004 | − | 0.753887i | \(-0.271824\pi\) | |||||||
\(758\) | −9.21755 | + | 2.10385i | −0.334797 | + | 0.0764152i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.67079 | + | 5.85699i | 0.169427 | + | 0.212455i | ||||
\(761\) | −0.723345 | − | 3.16918i | −0.0262212 | − | 0.114883i | 0.960124 | − | 0.279576i | \(-0.0901938\pi\) |
−0.986345 | + | 0.164693i | \(0.947337\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 4.02956 | + | 6.98606i | 0.145880 | + | 0.252912i | ||||
\(764\) | 115.797 | + | 26.4299i | 4.18939 | + | 0.956201i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 66.0535i | 2.38661i | ||||||||
\(767\) | −15.0799 | − | 3.44188i | −0.544502 | − | 0.124279i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.571663 | − | 0.455886i | 0.0206147 | − | 0.0164397i | −0.613128 | − | 0.789983i | \(-0.710089\pi\) |
0.633743 | + | 0.773544i | \(0.281518\pi\) | |||||||
\(770\) | 42.6717 | + | 29.1189i | 1.53778 | + | 1.04937i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −12.6010 | + | 55.2085i | −0.453519 | + | 1.98700i | ||||
\(773\) | −4.27724 | + | 5.36348i | −0.153841 | + | 0.192911i | −0.852779 | − | 0.522271i | \(-0.825085\pi\) |
0.698938 | + | 0.715182i | \(0.253656\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −26.7948 | + | 21.3681i | −0.962497 | + | 0.767566i | ||||
\(776\) | −14.4209 | − | 6.94474i | −0.517680 | − | 0.249302i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −62.7100 | + | 30.1996i | −2.24826 | + | 1.08271i | ||||
\(779\) | −0.112514 | + | 0.233638i | −0.00403124 | + | 0.00837095i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −7.60633 | − | 3.66302i | −0.272176 | − | 0.131073i | ||||
\(782\) | 72.9429 | − | 91.4675i | 2.60843 | − | 3.27087i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 95.4544 | + | 29.5301i | 3.40909 | + | 1.05465i | ||||
\(785\) | − | 24.1505i | − | 0.861970i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.23077 | − | 4.63224i | 0.0795183 | − | 0.165121i | −0.857419 | − | 0.514619i | \(-0.827933\pi\) |
0.936937 | + | 0.349497i | \(0.113648\pi\) | |||||||
\(788\) | 12.8954 | − | 2.94329i | 0.459379 | − | 0.104850i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −30.3293 | − | 62.9795i | −1.07907 | − | 2.24071i | ||||
\(791\) | 7.57134 | + | 24.5817i | 0.269206 | + | 0.874026i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 19.1632 | + | 24.0299i | 0.680504 | + | 0.853325i | ||||
\(794\) | −2.06960 | + | 0.996668i | −0.0734474 | + | 0.0353704i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 110.740 | + | 25.2758i | 3.92509 | + | 0.895877i | ||||
\(797\) | −12.5307 | + | 15.7130i | −0.443860 | + | 0.556583i | −0.952556 | − | 0.304363i | \(-0.901556\pi\) |
0.508696 | + | 0.860946i | \(0.330128\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −27.9660 | − | 35.0682i | −0.989365 | − | 1.24062i | ||||
\(800\) | −35.3998 | − | 73.5084i | −1.25157 | − | 2.59891i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 26.4007 | 0.932240 | ||||||||
\(803\) | −20.1631 | −0.711539 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 37.2339 | − | 54.5637i | 1.31232 | − | 1.92312i | ||||
\(806\) | −56.1128 | + | 12.8074i | −1.97649 | + | 0.451121i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 48.1573 | − | 38.4042i | 1.69417 | − | 1.35105i | ||||
\(809\) | −38.3206 | + | 30.5596i | −1.34728 | + | 1.07442i | −0.357183 | + | 0.934034i | \(0.616263\pi\) |
−0.990097 | + | 0.140385i | \(0.955166\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −52.1786 | + | 11.9094i | −1.83224 | + | 0.418197i | −0.992234 | − | 0.124383i | \(-0.960305\pi\) |
−0.840004 | + | 0.542580i | \(0.817448\pi\) | |||||||
\(812\) | 35.9689 | + | 14.1339i | 1.26226 | + | 0.496003i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 38.5275 | 1.35039 | ||||||||
\(815\) | −5.86846 | −0.205563 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.701320 | + | 1.45631i | 0.0245361 | + | 0.0509497i | ||||
\(818\) | −8.93129 | − | 11.1995i | −0.312275 | − | 0.391581i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 9.65498 | − | 12.1070i | 0.337166 | − | 0.422793i | ||||
\(821\) | 9.97604 | + | 2.27697i | 0.348166 | + | 0.0794667i | 0.393028 | − | 0.919527i | \(-0.371428\pi\) |
−0.0448617 | + | 0.998993i | \(0.514285\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −33.8755 | + | 16.3136i | −1.18083 | + | 0.568656i | −0.918152 | − | 0.396228i | \(-0.870319\pi\) |
−0.262675 | + | 0.964884i | \(0.584605\pi\) | |||||||
\(824\) | 1.35239 | + | 1.69584i | 0.0471128 | + | 0.0590776i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 25.3446 | − | 37.1407i | 0.881851 | − | 1.29229i | ||||
\(827\) | 0.758739 | + | 1.57554i | 0.0263840 | + | 0.0547868i | 0.913744 | − | 0.406290i | \(-0.133178\pi\) |
−0.887360 | + | 0.461077i | \(0.847463\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −2.89167 | + | 0.660004i | −0.100432 | + | 0.0229229i | −0.272441 | − | 0.962172i | \(-0.587831\pi\) |
0.172010 | + | 0.985095i | \(0.444974\pi\) | |||||||
\(830\) | −3.98103 | + | 8.26670i | −0.138184 | + | 0.286941i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 66.3853i | − | 2.30149i | ||||||
\(833\) | −29.9327 | + | 20.3716i | −1.03711 | + | 0.705833i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.50036 | − | 1.88140i | 0.0519222 | − | 0.0651084i | ||||
\(836\) | −3.14857 | − | 1.51627i | −0.108896 | − | 0.0524413i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −34.7516 | + | 72.1624i | −1.20047 | + | 2.49281i | ||||
\(839\) | 2.99822 | − | 1.44387i | 0.103510 | − | 0.0498478i | −0.381412 | − | 0.924405i | \(-0.624562\pi\) |
0.484922 | + | 0.874557i | \(0.338848\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.5118 | − | 9.39640i | −0.672821 | − | 0.324014i | ||||
\(842\) | −26.0268 | + | 20.7557i | −0.896942 | + | 0.715287i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 71.6542 | − | 89.8515i | 2.46644 | − | 3.09282i | ||||
\(845\) | −4.59301 | + | 20.1233i | −0.158004 | + | 0.692262i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 13.7894 | + | 2.08424i | 0.473809 | + | 0.0716154i | ||||
\(848\) | 15.9140 | − | 12.6910i | 0.546488 | − | 0.435809i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 54.9047 | + | 12.5317i | 1.88322 | + | 0.429832i | ||||
\(851\) | − | 49.2645i | − | 1.68876i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 27.7615 | + | 6.33638i | 0.950535 | + | 0.216953i | 0.669557 | − | 0.742761i | \(-0.266484\pi\) |
0.280978 | + | 0.959714i | \(0.409341\pi\) | |||||||
\(854\) | −85.3885 | + | 26.3003i | −2.92193 | + | 0.899976i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −20.9080 | − | 91.6039i | −0.714621 | − | 3.13096i | ||||
\(857\) | −8.27911 | − | 10.3817i | −0.282809 | − | 0.354631i | 0.620054 | − | 0.784559i | \(-0.287111\pi\) |
−0.902863 | + | 0.429927i | \(0.858539\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −10.1480 | + | 2.31622i | −0.346246 | + | 0.0790283i | −0.392107 | − | 0.919919i | \(-0.628254\pi\) |
0.0458616 | + | 0.998948i | \(0.485397\pi\) | |||||||
\(860\) | −21.4784 | − | 94.1030i | −0.732407 | − | 3.20889i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −12.0659 | + | 52.8640i | −0.410965 | + | 1.80056i | ||||
\(863\) | 18.1624i | 0.618255i | 0.951021 | + | 0.309128i | \(0.100037\pi\) | ||||
−0.951021 | + | 0.309128i | \(0.899963\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 9.56977 | − | 41.9279i | 0.325382 | − | 1.42559i | ||||
\(866\) | −30.4390 | + | 14.6587i | −1.03436 | + | 0.498122i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 18.2381 | − | 120.663i | 0.619040 | − | 4.09559i | ||||
\(869\) | 16.0349 | + | 12.7874i | 0.543946 | + | 0.433783i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −17.7714 | − | 14.1722i | −0.602160 | − | 0.480207i | ||||
\(872\) | 12.1893 | + | 25.3113i | 0.412781 | + | 0.857149i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.65822 | + | 5.51986i | −0.0899157 | + | 0.186712i | ||||
\(875\) | −7.81045 | − | 1.18053i | −0.264041 | − | 0.0399093i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −39.2871 | − | 18.9197i | −1.32663 | − | 0.638871i | −0.369690 | − | 0.929155i | \(-0.620536\pi\) |
−0.956941 | + | 0.290284i | \(0.906250\pi\) | |||||||
\(878\) | 16.6047 | + | 72.7499i | 0.560381 | + | 2.45519i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 80.1563 | + | 63.9225i | 2.70207 | + | 2.15483i | ||||
\(881\) | 2.08391 | 0.0702089 | 0.0351044 | − | 0.999384i | \(-0.488824\pi\) | ||||
0.0351044 | + | 0.999384i | \(0.488824\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −13.8180 | −0.465013 | −0.232506 | − | 0.972595i | \(-0.574693\pi\) | ||||
−0.232506 | + | 0.972595i | \(0.574693\pi\) | |||||||
\(884\) | 53.9327 | + | 43.0099i | 1.81395 | + | 1.44658i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −13.8501 | − | 60.6812i | −0.465303 | − | 2.03862i | ||||
\(887\) | −1.78898 | − | 0.861525i | −0.0600679 | − | 0.0289272i | 0.403609 | − | 0.914932i | \(-0.367756\pi\) |
−0.463677 | + | 0.886005i | \(0.653470\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.55266 | − | 2.42431i | −0.119152 | − | 0.0813087i | ||||
\(890\) | −59.0310 | + | 122.579i | −1.97872 | + | 4.10886i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −13.7478 | − | 28.5476i | −0.460311 | − | 0.955846i | ||||
\(893\) | 1.83645 | + | 1.46452i | 0.0614543 | + | 0.0490082i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −11.8324 | − | 9.43599i | −0.395512 | − | 0.315410i | ||||
\(896\) | 79.2851 | + | 31.1549i | 2.64873 | + | 1.04081i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 29.6282 | − | 14.2682i | 0.988705 | − | 0.476135i | ||||
\(899\) | 5.15999 | − | 22.6074i | 0.172095 | − | 0.753999i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 7.37595i | 0.245729i | ||||||||
\(902\) | −1.38614 | + | 6.07308i | −0.0461534 | + | 0.202211i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 19.9375 | + | 87.3519i | 0.663112 | + | 2.90528i | ||||
\(905\) | −15.8833 | + | 3.62526i | −0.527978 | + | 0.120508i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.37669 | + | 7.99612i | 0.211735 | + | 0.265507i | 0.876346 | − | 0.481683i | \(-0.159974\pi\) |
−0.664611 | + | 0.747189i | \(0.731403\pi\) | |||||||
\(908\) | −2.05146 | − | 8.98805i | −0.0680802 | − | 0.298279i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 44.1103 | + | 30.1006i | 1.46224 | + | 0.997824i | ||||
\(911\) | −27.5717 | − | 6.29306i | −0.913491 | − | 0.208498i | −0.260155 | − | 0.965567i | \(-0.583774\pi\) |
−0.653336 | + | 0.757068i | \(0.726631\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 2.69207i | − | 0.0890944i | ||||||
\(914\) | −20.3812 | − | 4.65187i | −0.674150 | − | 0.153870i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 79.5046 | − | 63.4028i | 2.62691 | − | 2.09489i | ||||
\(917\) | −1.09507 | − | 14.6941i | −0.0361623 | − | 0.485241i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6.70348 | + | 29.3699i | −0.221127 | + | 0.968822i | 0.735504 | + | 0.677521i | \(0.236946\pi\) |
−0.956631 | + | 0.291302i | \(0.905912\pi\) | |||||||
\(920\) | 143.468 | − | 179.904i | 4.73001 | − | 5.93125i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 22.0882 | − | 17.6148i | 0.727437 | − | 0.580112i | ||||
\(923\) | −7.86276 | − | 3.78650i | −0.258806 | − | 0.124634i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 21.3662 | − | 10.2894i | 0.702516 | − | 0.338314i | ||||
\(926\) | −3.28969 | + | 6.83112i | −0.108106 | + | 0.224484i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 49.7368 | + | 23.9520i | 1.63269 | + | 0.786262i | ||||
\(929\) | −0.330121 | + | 0.413958i | −0.0108309 | + | 0.0135815i | −0.787217 | − | 0.616676i | \(-0.788479\pi\) |
0.776387 | + | 0.630257i | \(0.217050\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.29082 | − | 1.38887i | 0.0423049 | − | 0.0455184i | ||||
\(932\) | − | 34.4262i | − | 1.12767i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 28.7740 | − | 59.7498i | 0.941513 | − | 1.95507i | ||||
\(935\) | −36.2201 | + | 8.26700i | −1.18452 | + | 0.270360i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 22.4684 | + | 46.6560i | 0.734010 | + | 1.52419i | 0.847586 | + | 0.530657i | \(0.178055\pi\) |
−0.113577 | + | 0.993529i | \(0.536231\pi\) | |||||||
\(938\) | 57.2380 | − | 33.0149i | 1.86889 | − | 1.07797i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −87.4545 | − | 109.664i | −2.85245 | − | 3.57686i | ||||
\(941\) | 49.3240 | − | 23.7532i | 1.60791 | − | 0.774331i | 0.608106 | − | 0.793856i | \(-0.291930\pi\) |
0.999809 | + | 0.0195252i | \(0.00621547\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.76555 | + | 1.77244i | 0.252881 | + | 0.0577185i | ||||
\(944\) | 55.6370 | − | 69.7666i | 1.81083 | − | 2.27071i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 24.2089 | + | 30.3570i | 0.787098 | + | 0.986990i | ||||
\(947\) | −19.0264 | − | 39.5088i | −0.618275 | − | 1.28386i | −0.941332 | − | 0.337482i | \(-0.890425\pi\) |
0.323056 | − | 0.946380i | \(-0.395290\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −20.8428 | −0.676586 | ||||||||
\(950\) | −2.94918 | −0.0956841 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −109.254 | + | 63.0175i | −3.54093 | + | 2.04241i | ||||
\(953\) | 16.9362 | − | 3.86559i | 0.548619 | − | 0.125219i | 0.0607779 | − | 0.998151i | \(-0.480642\pi\) |
0.487841 | + | 0.872933i | \(0.337785\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −51.6983 | + | 41.2280i | −1.67292 | + | 1.33411i | ||||
\(956\) | 20.1903 | − | 16.1012i | 0.653001 | − | 0.520751i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.03924 | − | 0.237199i | 0.0335762 | − | 0.00766354i | ||||
\(959\) | −35.8130 | + | 2.66894i | −1.15646 | + | 0.0861847i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −42.2237 | −1.36206 | ||||||||
\(962\) | 39.8263 | 1.28405 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −35.0483 | − | 72.7785i | −1.12883 | − | 2.34404i | ||||
\(965\) | −19.6562 | − | 24.6481i | −0.632757 | − | 0.793452i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −4.52853 | + | 5.67860i | −0.145628 | + | 0.182612i | −0.849296 | − | 0.527918i | \(-0.822973\pi\) |
0.703668 | + | 0.710529i | \(0.251544\pi\) | |||||||
\(968\) | 47.3619 | + | 10.8100i | 1.52227 | + | 0.347448i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 12.7647 | − | 6.14713i | 0.409848 | − | 0.197373i | ||||
\(971\) | −12.4813 | − | 15.6510i | −0.400543 | − | 0.502264i | 0.540129 | − | 0.841582i | \(-0.318375\pi\) |
−0.940672 | + | 0.339318i | \(0.889804\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.6358 | + | 24.4159i | 0.725672 | + | 0.782736i | ||||
\(974\) | 20.8197 | + | 43.2326i | 0.667107 | + | 1.38526i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −172.870 | + | 39.4565i | −5.53344 | + | 1.26297i | ||||
\(977\) | 8.13631 | − | 16.8952i | 0.260304 | − | 0.540526i | −0.729326 | − | 0.684166i | \(-0.760166\pi\) |
0.989630 | + | 0.143640i | \(0.0458807\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 39.9181i | − | 1.27579i | ||||||
\(980\) | −93.6047 | + | 63.7054i | −2.99009 | + | 2.03500i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17.3817 | − | 21.7960i | 0.554674 | − | 0.695539i | ||||
\(983\) | 37.0776 | + | 17.8556i | 1.18259 | + | 0.569505i | 0.918665 | − | 0.395038i | \(-0.129268\pi\) |
0.263925 | + | 0.964543i | \(0.414983\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.19502 | + | 6.63452i | −0.101802 | + | 0.211393i | ||||
\(986\) | −34.3311 | + | 16.5330i | −1.09333 | + | 0.526518i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.25471 | − | 1.56739i | −0.103546 | − | 0.0498652i | ||||
\(989\) | 38.8170 | − | 30.9555i | 1.23431 | − | 0.984328i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.5763 | − | 13.2623i | 0.335968 | − | 0.421290i | −0.584937 | − | 0.811079i | \(-0.698881\pi\) |
0.920904 | + | 0.389789i | \(0.127452\pi\) | |||||||
\(992\) | 38.7894 | − | 169.947i | 1.23156 | − | 5.39583i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 18.6041 | − | 17.2478i | 0.590086 | − | 0.547066i | ||||
\(995\) | −49.4407 | + | 39.4277i | −1.56738 | + | 1.24994i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 38.7310 | + | 8.84009i | 1.22662 | + | 0.279968i | 0.786285 | − | 0.617864i | \(-0.212002\pi\) |
0.440337 | + | 0.897833i | \(0.354859\pi\) | |||||||
\(998\) | − | 87.7268i | − | 2.77694i | ||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.w.a.251.19 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.251.2 | yes | 120 | |
49.41 | odd | 14 | inner | 441.2.w.a.188.2 | ✓ | 120 | |
147.41 | even | 14 | inner | 441.2.w.a.188.19 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.188.2 | ✓ | 120 | 49.41 | odd | 14 | inner | |
441.2.w.a.188.19 | yes | 120 | 147.41 | even | 14 | inner | |
441.2.w.a.251.2 | yes | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.251.19 | yes | 120 | 1.1 | even | 1 | trivial |