Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(19,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.t (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.9 | ||
Character | \(\chi\) | \(=\) | 168.19 |
Dual form | 168.2.t.a.115.9 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.297109 | − | 1.38265i | −0.210088 | − | 0.977683i | ||||
\(3\) | −0.866025 | + | 0.500000i | −0.500000 | + | 0.288675i | ||||
\(4\) | −1.82345 | + | 0.821596i | −0.911726 | + | 0.410798i | ||||
\(5\) | −1.44142 | + | 2.49662i | −0.644624 | + | 1.11652i | 0.339765 | + | 0.940511i | \(0.389653\pi\) |
−0.984388 | + | 0.176010i | \(0.943681\pi\) | |||||||
\(6\) | 0.948630 | + | 1.04886i | 0.387276 | + | 0.428194i | ||||
\(7\) | 2.63862 | − | 0.194181i | 0.997303 | − | 0.0733933i | ||||
\(8\) | 1.67775 | + | 2.27710i | 0.593172 | + | 0.805075i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 3.88021 | + | 1.25122i | 1.22703 | + | 0.395670i | ||||
\(11\) | 2.91340 | + | 5.04616i | 0.878423 | + | 1.52147i | 0.853071 | + | 0.521795i | \(0.174738\pi\) |
0.0253527 | + | 0.999679i | \(0.491929\pi\) | |||||||
\(12\) | 1.16836 | − | 1.62325i | 0.337276 | − | 0.468592i | ||||
\(13\) | −1.04841 | −0.290776 | −0.145388 | − | 0.989375i | \(-0.546443\pi\) | ||||
−0.145388 | + | 0.989375i | \(0.546443\pi\) | |||||||
\(14\) | −1.05244 | − | 3.59059i | −0.281276 | − | 0.959627i | ||||
\(15\) | − | 2.88284i | − | 0.744347i | ||||||
\(16\) | 2.64996 | − | 2.99628i | 0.662490 | − | 0.749071i | ||||
\(17\) | −5.91062 | + | 3.41250i | −1.43354 | + | 0.827652i | −0.997388 | − | 0.0722232i | \(-0.976991\pi\) |
−0.436147 | + | 0.899875i | \(0.643657\pi\) | |||||||
\(18\) | −1.34597 | − | 0.434022i | −0.317247 | − | 0.102300i | ||||
\(19\) | −0.589961 | − | 0.340614i | −0.135346 | − | 0.0781423i | 0.430798 | − | 0.902448i | \(-0.358232\pi\) |
−0.566144 | + | 0.824306i | \(0.691566\pi\) | |||||||
\(20\) | 0.577155 | − | 5.73673i | 0.129056 | − | 1.28277i | ||||
\(21\) | −2.18802 | + | 1.48747i | −0.477465 | + | 0.324593i | ||||
\(22\) | 6.11148 | − | 5.52748i | 1.30297 | − | 1.17846i | ||||
\(23\) | 1.85937 | + | 1.07351i | 0.387705 | + | 0.223841i | 0.681165 | − | 0.732130i | \(-0.261474\pi\) |
−0.293460 | + | 0.955971i | \(0.594807\pi\) | |||||||
\(24\) | −2.59152 | − | 1.13315i | −0.528991 | − | 0.231304i | ||||
\(25\) | −1.65540 | − | 2.86723i | −0.331079 | − | 0.573446i | ||||
\(26\) | 0.311491 | + | 1.44958i | 0.0610885 | + | 0.284287i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −4.65185 | + | 2.52196i | −0.879118 | + | 0.476605i | ||||
\(29\) | − | 6.61515i | − | 1.22840i | −0.789149 | − | 0.614201i | \(-0.789478\pi\) | ||
0.789149 | − | 0.614201i | \(-0.210522\pi\) | |||||||
\(30\) | −3.98597 | + | 0.856518i | −0.727735 | + | 0.156378i | ||||
\(31\) | 1.91558 | + | 3.31788i | 0.344048 | + | 0.595909i | 0.985180 | − | 0.171522i | \(-0.0548684\pi\) |
−0.641132 | + | 0.767430i | \(0.721535\pi\) | |||||||
\(32\) | −4.93014 | − | 2.77375i | −0.871534 | − | 0.490334i | ||||
\(33\) | −5.04616 | − | 2.91340i | −0.878423 | − | 0.507158i | ||||
\(34\) | 6.47439 | + | 7.15845i | 1.11035 | + | 1.22766i | ||||
\(35\) | −3.31857 | + | 6.86751i | −0.560940 | + | 1.16082i | ||||
\(36\) | −0.200203 | + | 1.98995i | −0.0333672 | + | 0.331659i | ||||
\(37\) | 2.06185 | + | 1.19041i | 0.338966 | + | 0.195702i | 0.659814 | − | 0.751429i | \(-0.270635\pi\) |
−0.320849 | + | 0.947130i | \(0.603968\pi\) | |||||||
\(38\) | −0.295668 | + | 0.916911i | −0.0479638 | + | 0.148743i | ||||
\(39\) | 0.907949 | − | 0.524204i | 0.145388 | − | 0.0839399i | ||||
\(40\) | −8.10338 | + | 0.906428i | −1.28126 | + | 0.143319i | ||||
\(41\) | − | 1.19919i | − | 0.187281i | −0.995606 | − | 0.0936407i | \(-0.970149\pi\) | ||
0.995606 | − | 0.0936407i | \(-0.0298505\pi\) | |||||||
\(42\) | 2.70674 | + | 2.58333i | 0.417659 | + | 0.398616i | ||||
\(43\) | 1.34319 | 0.204835 | 0.102418 | − | 0.994741i | \(-0.467342\pi\) | ||||
0.102418 | + | 0.994741i | \(0.467342\pi\) | |||||||
\(44\) | −9.45835 | − | 6.80779i | −1.42590 | − | 1.02631i | ||||
\(45\) | 1.44142 | + | 2.49662i | 0.214875 | + | 0.372174i | ||||
\(46\) | 0.931851 | − | 2.88980i | 0.137394 | − | 0.426078i | ||||
\(47\) | 5.52670 | − | 9.57253i | 0.806152 | − | 1.39630i | −0.109359 | − | 0.994002i | \(-0.534880\pi\) |
0.915511 | − | 0.402294i | \(-0.131787\pi\) | |||||||
\(48\) | −0.796791 | + | 3.91984i | −0.115007 | + | 0.565780i | ||||
\(49\) | 6.92459 | − | 1.02474i | 0.989227 | − | 0.146391i | ||||
\(50\) | −3.47255 | + | 3.14072i | −0.491093 | + | 0.444165i | ||||
\(51\) | 3.41250 | − | 5.91062i | 0.477845 | − | 0.827652i | ||||
\(52\) | 1.91172 | − | 0.861368i | 0.265108 | − | 0.119450i | ||||
\(53\) | −6.99615 | + | 4.03923i | −0.960995 | + | 0.554830i | −0.896479 | − | 0.443086i | \(-0.853884\pi\) |
−0.0645156 | + | 0.997917i | \(0.520550\pi\) | |||||||
\(54\) | 1.38265 | − | 0.297109i | 0.188155 | − | 0.0404314i | ||||
\(55\) | −16.7978 | −2.26501 | ||||||||
\(56\) | 4.86909 | + | 5.68260i | 0.650660 | + | 0.759369i | ||||
\(57\) | 0.681229 | 0.0902310 | ||||||||
\(58\) | −9.14645 | + | 1.96542i | −1.20099 | + | 0.258072i | ||||
\(59\) | 6.81625 | − | 3.93537i | 0.887400 | − | 0.512341i | 0.0143092 | − | 0.999898i | \(-0.495445\pi\) |
0.873091 | + | 0.487557i | \(0.162112\pi\) | |||||||
\(60\) | 2.36853 | + | 5.25673i | 0.305776 | + | 0.678641i | ||||
\(61\) | −1.63471 | + | 2.83140i | −0.209303 | + | 0.362524i | −0.951495 | − | 0.307663i | \(-0.900453\pi\) |
0.742192 | + | 0.670187i | \(0.233786\pi\) | |||||||
\(62\) | 4.01834 | − | 3.63435i | 0.510329 | − | 0.461563i | ||||
\(63\) | 1.15114 | − | 2.38220i | 0.145030 | − | 0.300129i | ||||
\(64\) | −2.37034 | + | 7.64078i | −0.296293 | + | 0.955097i | ||||
\(65\) | 1.51120 | − | 2.61747i | 0.187441 | − | 0.324658i | ||||
\(66\) | −2.52896 | + | 7.84268i | −0.311294 | + | 0.965367i | ||||
\(67\) | −6.65629 | − | 11.5290i | −0.813195 | − | 1.40850i | −0.910617 | − | 0.413252i | \(-0.864393\pi\) |
0.0974214 | − | 0.995243i | \(-0.468941\pi\) | |||||||
\(68\) | 7.97404 | − | 11.0787i | 0.966994 | − | 1.34349i | ||||
\(69\) | −2.14701 | −0.258470 | ||||||||
\(70\) | 10.4813 | + | 2.54802i | 1.25276 | + | 0.304547i | ||||
\(71\) | − | 1.08533i | − | 0.128805i | −0.997924 | − | 0.0644027i | \(-0.979486\pi\) | ||
0.997924 | − | 0.0644027i | \(-0.0205142\pi\) | |||||||
\(72\) | 2.81090 | − | 0.314421i | 0.331267 | − | 0.0370549i | ||||
\(73\) | 4.88878 | − | 2.82254i | 0.572188 | − | 0.330353i | −0.185835 | − | 0.982581i | \(-0.559499\pi\) |
0.758023 | + | 0.652228i | \(0.226166\pi\) | |||||||
\(74\) | 1.03333 | − | 3.20450i | 0.120122 | − | 0.372515i | ||||
\(75\) | 2.86723 | + | 1.65540i | 0.331079 | + | 0.191149i | ||||
\(76\) | 1.35561 | + | 0.136384i | 0.155500 | + | 0.0156444i | ||||
\(77\) | 8.66721 | + | 12.7491i | 0.987720 | + | 1.45290i | ||||
\(78\) | −0.994552 | − | 1.09963i | −0.112611 | − | 0.124509i | ||||
\(79\) | 10.9630 | + | 6.32946i | 1.23343 | + | 0.712120i | 0.967743 | − | 0.251939i | \(-0.0810684\pi\) |
0.265686 | + | 0.964060i | \(0.414402\pi\) | |||||||
\(80\) | 3.66086 | + | 10.9348i | 0.409296 | + | 1.22255i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −1.65806 | + | 0.356289i | −0.183102 | + | 0.0393455i | ||||
\(83\) | 0.482042i | 0.0529110i | 0.999650 | + | 0.0264555i | \(0.00842203\pi\) | ||||
−0.999650 | + | 0.0264555i | \(0.991578\pi\) | |||||||
\(84\) | 2.76765 | − | 4.51000i | 0.301975 | − | 0.492082i | ||||
\(85\) | − | 19.6754i | − | 2.13410i | ||||||
\(86\) | −0.399075 | − | 1.85717i | −0.0430333 | − | 0.200264i | ||||
\(87\) | 3.30757 | + | 5.72889i | 0.354609 | + | 0.614201i | ||||
\(88\) | −6.60265 | + | 15.1003i | −0.703845 | + | 1.60969i | ||||
\(89\) | 10.7308 | + | 6.19543i | 1.13746 | + | 0.656714i | 0.945801 | − | 0.324747i | \(-0.105279\pi\) |
0.191661 | + | 0.981461i | \(0.438612\pi\) | |||||||
\(90\) | 3.02369 | − | 2.73475i | 0.318725 | − | 0.288268i | ||||
\(91\) | −2.76635 | + | 0.203581i | −0.289992 | + | 0.0213410i | ||||
\(92\) | −4.27246 | − | 0.429839i | −0.445434 | − | 0.0448138i | ||||
\(93\) | −3.31788 | − | 1.91558i | −0.344048 | − | 0.198636i | ||||
\(94\) | −14.8775 | − | 4.79742i | −1.53450 | − | 0.494816i | ||||
\(95\) | 1.70077 | − | 0.981939i | 0.174495 | − | 0.100745i | ||||
\(96\) | 5.65650 | − | 0.0629331i | 0.577315 | − | 0.00642308i | ||||
\(97\) | − | 3.63532i | − | 0.369111i | −0.982822 | − | 0.184556i | \(-0.940915\pi\) | ||
0.982822 | − | 0.184556i | \(-0.0590846\pi\) | |||||||
\(98\) | −3.47421 | − | 9.26984i | −0.350948 | − | 0.936395i | ||||
\(99\) | 5.82680 | 0.585616 | ||||||||
\(100\) | 5.37424 | + | 3.86819i | 0.537424 | + | 0.386819i | ||||
\(101\) | 1.25234 | + | 2.16911i | 0.124612 | + | 0.215835i | 0.921581 | − | 0.388185i | \(-0.126898\pi\) |
−0.796969 | + | 0.604020i | \(0.793565\pi\) | |||||||
\(102\) | −9.18621 | − | 2.96220i | −0.909570 | − | 0.293301i | ||||
\(103\) | −2.31322 | + | 4.00661i | −0.227928 | + | 0.394783i | −0.957194 | − | 0.289447i | \(-0.906529\pi\) |
0.729266 | + | 0.684231i | \(0.239862\pi\) | |||||||
\(104\) | −1.75896 | − | 2.38733i | −0.172480 | − | 0.234097i | ||||
\(105\) | −0.559792 | − | 7.60672i | −0.0546301 | − | 0.742340i | ||||
\(106\) | 7.66346 | + | 8.47315i | 0.744341 | + | 0.822985i | ||||
\(107\) | 3.03473 | − | 5.25631i | 0.293378 | − | 0.508146i | −0.681228 | − | 0.732071i | \(-0.738554\pi\) |
0.974606 | + | 0.223925i | \(0.0718871\pi\) | |||||||
\(108\) | −0.821596 | − | 1.82345i | −0.0790581 | − | 0.175462i | ||||
\(109\) | 12.6132 | − | 7.28224i | 1.20813 | − | 0.697513i | 0.245777 | − | 0.969326i | \(-0.420957\pi\) |
0.962350 | + | 0.271814i | \(0.0876235\pi\) | |||||||
\(110\) | 4.99076 | + | 23.2255i | 0.475851 | + | 2.21446i | ||||
\(111\) | −2.38082 | −0.225977 | ||||||||
\(112\) | 6.41041 | − | 8.42061i | 0.605727 | − | 0.795673i | ||||
\(113\) | −3.82875 | −0.360179 | −0.180089 | − | 0.983650i | \(-0.557639\pi\) | ||||
−0.180089 | + | 0.983650i | \(0.557639\pi\) | |||||||
\(114\) | −0.202399 | − | 0.941902i | −0.0189564 | − | 0.0882172i | ||||
\(115\) | −5.36027 | + | 3.09475i | −0.499847 | + | 0.288587i | ||||
\(116\) | 5.43498 | + | 12.0624i | 0.504625 | + | 1.11997i | ||||
\(117\) | −0.524204 | + | 0.907949i | −0.0484627 | + | 0.0839399i | ||||
\(118\) | −7.46641 | − | 8.25527i | −0.687339 | − | 0.759959i | ||||
\(119\) | −14.9332 | + | 10.1520i | −1.36893 | + | 0.930632i | ||||
\(120\) | 6.56452 | − | 4.83668i | 0.599256 | − | 0.441526i | ||||
\(121\) | −11.4758 | + | 19.8767i | −1.04326 | + | 1.80697i | ||||
\(122\) | 4.40053 | + | 1.41900i | 0.398405 | + | 0.128470i | ||||
\(123\) | 0.599593 | + | 1.03853i | 0.0540635 | + | 0.0936407i | ||||
\(124\) | −6.21892 | − | 4.47616i | −0.558476 | − | 0.401971i | ||||
\(125\) | −4.86972 | −0.435561 | ||||||||
\(126\) | −3.63577 | − | 0.883858i | −0.323900 | − | 0.0787403i | ||||
\(127\) | − | 0.550415i | − | 0.0488415i | −0.999702 | − | 0.0244207i | \(-0.992226\pi\) | ||
0.999702 | − | 0.0244207i | \(-0.00777413\pi\) | |||||||
\(128\) | 11.2688 | + | 1.00722i | 0.996029 | + | 0.0890263i | ||||
\(129\) | −1.16324 | + | 0.671597i | −0.102418 | + | 0.0591308i | ||||
\(130\) | −4.06805 | − | 1.31179i | −0.356791 | − | 0.115051i | ||||
\(131\) | −2.42818 | − | 1.40191i | −0.212151 | − | 0.122486i | 0.390159 | − | 0.920747i | \(-0.372420\pi\) |
−0.602311 | + | 0.798262i | \(0.705753\pi\) | |||||||
\(132\) | 11.5951 | + | 1.16655i | 1.00922 | + | 0.101535i | ||||
\(133\) | −1.62282 | − | 0.784192i | −0.140717 | − | 0.0679980i | ||||
\(134\) | −13.9630 | + | 12.6287i | −1.20622 | + | 1.09095i | ||||
\(135\) | −2.49662 | − | 1.44142i | −0.214875 | − | 0.124058i | ||||
\(136\) | −17.6871 | − | 7.73375i | −1.51666 | − | 0.663164i | ||||
\(137\) | −6.38148 | − | 11.0530i | −0.545206 | − | 0.944325i | −0.998594 | − | 0.0530118i | \(-0.983118\pi\) |
0.453387 | − | 0.891314i | \(-0.350215\pi\) | |||||||
\(138\) | 0.637896 | + | 2.96857i | 0.0543013 | + | 0.252701i | ||||
\(139\) | 6.11761i | 0.518889i | 0.965758 | + | 0.259444i | \(0.0835394\pi\) | ||||
−0.965758 | + | 0.259444i | \(0.916461\pi\) | |||||||
\(140\) | 0.408930 | − | 15.2491i | 0.0345609 | − | 1.28878i | ||||
\(141\) | 11.0534i | 0.930864i | ||||||||
\(142\) | −1.50064 | + | 0.322462i | −0.125931 | + | 0.0270604i | ||||
\(143\) | −3.05443 | − | 5.29044i | −0.255425 | − | 0.442408i | ||||
\(144\) | −1.26988 | − | 3.79307i | −0.105823 | − | 0.316090i | ||||
\(145\) | 16.5155 | + | 9.53522i | 1.37154 | + | 0.791857i | ||||
\(146\) | −5.35508 | − | 5.92087i | −0.443190 | − | 0.490015i | ||||
\(147\) | −5.48450 | + | 4.34974i | −0.452354 | + | 0.358761i | ||||
\(148\) | −4.73771 | − | 0.476647i | −0.389438 | − | 0.0391802i | ||||
\(149\) | −1.75163 | − | 1.01130i | −0.143499 | − | 0.0828491i | 0.426532 | − | 0.904473i | \(-0.359735\pi\) |
−0.570030 | + | 0.821624i | \(0.693069\pi\) | |||||||
\(150\) | 1.43696 | − | 4.45622i | 0.117327 | − | 0.363849i | ||||
\(151\) | −12.1833 | + | 7.03404i | −0.991464 | + | 0.572422i | −0.905712 | − | 0.423895i | \(-0.860663\pi\) |
−0.0857523 | + | 0.996316i | \(0.527329\pi\) | |||||||
\(152\) | −0.214193 | − | 1.91486i | −0.0173733 | − | 0.155316i | ||||
\(153\) | 6.82499i | 0.551768i | ||||||||
\(154\) | 15.0525 | − | 15.7716i | 1.21297 | − | 1.27091i | ||||
\(155\) | −11.0446 | −0.887126 | ||||||||
\(156\) | −1.22492 | + | 1.70183i | −0.0980719 | + | 0.136255i | ||||
\(157\) | −2.61739 | − | 4.53344i | −0.208890 | − | 0.361808i | 0.742475 | − | 0.669874i | \(-0.233652\pi\) |
−0.951365 | + | 0.308065i | \(0.900318\pi\) | |||||||
\(158\) | 5.49426 | − | 17.0385i | 0.437100 | − | 1.35551i | ||||
\(159\) | 4.03923 | − | 6.99615i | 0.320332 | − | 0.554830i | ||||
\(160\) | 14.0314 | − | 8.31053i | 1.10928 | − | 0.657005i | ||||
\(161\) | 5.11461 | + | 2.47152i | 0.403088 | + | 0.194783i | ||||
\(162\) | −1.04886 | + | 0.948630i | −0.0824060 | + | 0.0745314i | ||||
\(163\) | −0.488212 | + | 0.845609i | −0.0382397 | + | 0.0662332i | −0.884512 | − | 0.466518i | \(-0.845508\pi\) |
0.846272 | + | 0.532751i | \(0.178842\pi\) | |||||||
\(164\) | 0.985247 | + | 2.18666i | 0.0769349 | + | 0.170749i | ||||
\(165\) | 14.5473 | − | 8.39888i | 1.13251 | − | 0.653852i | ||||
\(166\) | 0.666497 | − | 0.143219i | 0.0517302 | − | 0.0111160i | ||||
\(167\) | 2.08267 | 0.161162 | 0.0805808 | − | 0.996748i | \(-0.474322\pi\) | ||||
0.0805808 | + | 0.996748i | \(0.474322\pi\) | |||||||
\(168\) | −7.05806 | − | 2.48673i | −0.544541 | − | 0.191855i | ||||
\(169\) | −11.9008 | −0.915449 | ||||||||
\(170\) | −27.2042 | + | 5.84573i | −2.08647 | + | 0.448347i | ||||
\(171\) | −0.589961 | + | 0.340614i | −0.0451155 | + | 0.0260474i | ||||
\(172\) | −2.44925 | + | 1.10356i | −0.186754 | + | 0.0841459i | ||||
\(173\) | 10.6732 | − | 18.4864i | 0.811465 | − | 1.40550i | −0.100374 | − | 0.994950i | \(-0.532004\pi\) |
0.911839 | − | 0.410548i | \(-0.134663\pi\) | |||||||
\(174\) | 6.93835 | − | 6.27533i | 0.525995 | − | 0.475731i | ||||
\(175\) | −4.92472 | − | 7.24408i | −0.372274 | − | 0.547601i | ||||
\(176\) | 22.8401 | + | 4.64274i | 1.72164 | + | 0.349960i | ||||
\(177\) | −3.93537 | + | 6.81625i | −0.295800 | + | 0.512341i | ||||
\(178\) | 5.37791 | − | 16.6777i | 0.403091 | − | 1.25004i | ||||
\(179\) | 3.47487 | + | 6.01865i | 0.259724 | + | 0.449855i | 0.966168 | − | 0.257914i | \(-0.0830351\pi\) |
−0.706444 | + | 0.707769i | \(0.749702\pi\) | |||||||
\(180\) | −4.67958 | − | 3.36820i | −0.348795 | − | 0.251051i | ||||
\(181\) | 7.67619 | 0.570566 | 0.285283 | − | 0.958443i | \(-0.407912\pi\) | ||||
0.285283 | + | 0.958443i | \(0.407912\pi\) | |||||||
\(182\) | 1.10339 | + | 3.76441i | 0.0817885 | + | 0.279037i | ||||
\(183\) | − | 3.26942i | − | 0.241683i | ||||||
\(184\) | 0.675066 | + | 6.03503i | 0.0497665 | + | 0.444908i | ||||
\(185\) | −5.94398 | + | 3.43176i | −0.437010 | + | 0.252308i | ||||
\(186\) | −1.66281 | + | 5.15661i | −0.121923 | + | 0.378101i | ||||
\(187\) | −34.4400 | − | 19.8839i | −2.51850 | − | 1.45406i | ||||
\(188\) | −2.21293 | + | 21.9958i | −0.161394 | + | 1.60421i | ||||
\(189\) | 0.194181 | + | 2.63862i | 0.0141246 | + | 0.191931i | ||||
\(190\) | −1.86299 | − | 2.05983i | −0.135156 | − | 0.149436i | ||||
\(191\) | 15.4238 | + | 8.90495i | 1.11603 | + | 0.644340i | 0.940384 | − | 0.340114i | \(-0.110466\pi\) |
0.175645 | + | 0.984454i | \(0.443799\pi\) | |||||||
\(192\) | −1.76761 | − | 7.80228i | −0.127566 | − | 0.563081i | ||||
\(193\) | 6.89797 | + | 11.9476i | 0.496527 | + | 0.860010i | 0.999992 | − | 0.00400574i | \(-0.00127507\pi\) |
−0.503465 | + | 0.864016i | \(0.667942\pi\) | |||||||
\(194\) | −5.02639 | + | 1.08009i | −0.360874 | + | 0.0775457i | ||||
\(195\) | 3.02240i | 0.216439i | ||||||||
\(196\) | −11.7847 | + | 7.55777i | −0.841767 | + | 0.539841i | ||||
\(197\) | − | 1.13180i | − | 0.0806374i | −0.999187 | − | 0.0403187i | \(-0.987163\pi\) | ||
0.999187 | − | 0.0403187i | \(-0.0128373\pi\) | |||||||
\(198\) | −1.73119 | − | 8.05644i | −0.123031 | − | 0.572546i | ||||
\(199\) | 4.26593 | + | 7.38881i | 0.302404 | + | 0.523779i | 0.976680 | − | 0.214701i | \(-0.0688776\pi\) |
−0.674276 | + | 0.738479i | \(0.735544\pi\) | |||||||
\(200\) | 3.75163 | − | 8.57998i | 0.265280 | − | 0.606696i | ||||
\(201\) | 11.5290 | + | 6.65629i | 0.813195 | + | 0.469498i | ||||
\(202\) | 2.62705 | − | 2.37601i | 0.184838 | − | 0.167175i | ||||
\(203\) | −1.28453 | − | 17.4548i | −0.0901566 | − | 1.22509i | ||||
\(204\) | −1.36639 | + | 13.5814i | −0.0956662 | + | 0.950890i | ||||
\(205\) | 2.99391 | + | 1.72853i | 0.209104 | + | 0.120726i | ||||
\(206\) | 6.22703 | + | 2.00798i | 0.433858 | + | 0.139902i | ||||
\(207\) | 1.85937 | − | 1.07351i | 0.129235 | − | 0.0746138i | ||||
\(208\) | −2.77824 | + | 3.14133i | −0.192636 | + | 0.217812i | ||||
\(209\) | − | 3.96939i | − | 0.274568i | ||||||
\(210\) | −10.3511 | + | 3.03402i | −0.714296 | + | 0.209367i | ||||
\(211\) | 21.2436 | 1.46247 | 0.731237 | − | 0.682124i | \(-0.238944\pi\) | ||||
0.731237 | + | 0.682124i | \(0.238944\pi\) | |||||||
\(212\) | 9.43853 | − | 13.1133i | 0.648241 | − | 0.900628i | ||||
\(213\) | 0.542667 | + | 0.939926i | 0.0371829 | + | 0.0644027i | ||||
\(214\) | −8.16929 | − | 2.63428i | −0.558441 | − | 0.180076i | ||||
\(215\) | −1.93611 | + | 3.35344i | −0.132042 | + | 0.228703i | ||||
\(216\) | −2.27710 | + | 1.67775i | −0.154937 | + | 0.114156i | ||||
\(217\) | 5.69874 | + | 8.38264i | 0.386856 | + | 0.569051i | ||||
\(218\) | −13.8163 | − | 15.2761i | −0.935758 | − | 1.03463i | ||||
\(219\) | −2.82254 | + | 4.88878i | −0.190729 | + | 0.330353i | ||||
\(220\) | 30.6299 | − | 13.8010i | 2.06507 | − | 0.930462i | ||||
\(221\) | 6.19674 | − | 3.57769i | 0.416838 | − | 0.240662i | ||||
\(222\) | 0.707361 | + | 3.29184i | 0.0474750 | + | 0.220934i | ||||
\(223\) | −3.12207 | −0.209069 | −0.104535 | − | 0.994521i | \(-0.533335\pi\) | ||||
−0.104535 | + | 0.994521i | \(0.533335\pi\) | |||||||
\(224\) | −13.5474 | − | 6.36152i | −0.905171 | − | 0.425047i | ||||
\(225\) | −3.31079 | −0.220720 | ||||||||
\(226\) | 1.13756 | + | 5.29383i | 0.0756691 | + | 0.352140i | ||||
\(227\) | 4.52649 | − | 2.61337i | 0.300434 | − | 0.173456i | −0.342204 | − | 0.939626i | \(-0.611173\pi\) |
0.642638 | + | 0.766170i | \(0.277840\pi\) | |||||||
\(228\) | −1.24219 | + | 0.559695i | −0.0822660 | + | 0.0370667i | ||||
\(229\) | −14.2129 | + | 24.6175i | −0.939215 | + | 1.62677i | −0.172276 | + | 0.985049i | \(0.555112\pi\) |
−0.766939 | + | 0.641720i | \(0.778221\pi\) | |||||||
\(230\) | 5.87154 | + | 6.49190i | 0.387158 | + | 0.428063i | ||||
\(231\) | −13.8806 | − | 6.70748i | −0.913276 | − | 0.441320i | ||||
\(232\) | 15.0633 | − | 11.0985i | 0.988957 | − | 0.728655i | ||||
\(233\) | −3.05971 | + | 5.29957i | −0.200448 | + | 0.347186i | −0.948673 | − | 0.316259i | \(-0.897573\pi\) |
0.748225 | + | 0.663445i | \(0.230906\pi\) | |||||||
\(234\) | 1.41112 | + | 0.455033i | 0.0922480 | + | 0.0297464i | ||||
\(235\) | 15.9326 | + | 27.5961i | 1.03933 | + | 1.80017i | ||||
\(236\) | −9.19583 | + | 12.7762i | −0.598598 | + | 0.831657i | ||||
\(237\) | −12.6589 | −0.822286 | ||||||||
\(238\) | 18.4735 | + | 17.6312i | 1.19746 | + | 1.14286i | ||||
\(239\) | − | 8.83528i | − | 0.571507i | −0.958303 | − | 0.285753i | \(-0.907756\pi\) | ||
0.958303 | − | 0.285753i | \(-0.0922439\pi\) | |||||||
\(240\) | −8.63782 | − | 7.63942i | −0.557569 | − | 0.493123i | ||||
\(241\) | 5.15757 | − | 2.97772i | 0.332228 | − | 0.191812i | −0.324602 | − | 0.945851i | \(-0.605230\pi\) |
0.656830 | + | 0.754039i | \(0.271897\pi\) | |||||||
\(242\) | 30.8921 | + | 9.96151i | 1.98582 | + | 0.640350i | ||||
\(243\) | 0.866025 | + | 0.500000i | 0.0555556 | + | 0.0320750i | ||||
\(244\) | 0.654550 | − | 6.50600i | 0.0419032 | − | 0.416504i | ||||
\(245\) | −7.42288 | + | 18.7651i | −0.474231 | + | 1.19886i | ||||
\(246\) | 1.25778 | − | 1.13758i | 0.0801928 | − | 0.0725297i | ||||
\(247\) | 0.618521 | + | 0.357103i | 0.0393555 | + | 0.0227219i | ||||
\(248\) | −4.34128 | + | 9.92851i | −0.275672 | + | 0.630461i | ||||
\(249\) | −0.241021 | − | 0.417461i | −0.0152741 | − | 0.0264555i | ||||
\(250\) | 1.44684 | + | 6.73313i | 0.0915059 | + | 0.425840i | ||||
\(251\) | − | 2.13955i | − | 0.135047i | −0.997718 | − | 0.0675235i | \(-0.978490\pi\) | ||
0.997718 | − | 0.0675235i | \(-0.0215098\pi\) | |||||||
\(252\) | −0.141849 | + | 5.28960i | −0.00893567 | + | 0.333214i | ||||
\(253\) | 12.5102i | 0.786510i | ||||||||
\(254\) | −0.761033 | + | 0.163533i | −0.0477514 | + | 0.0102610i | ||||
\(255\) | 9.83770 | + | 17.0394i | 0.616061 | + | 1.06705i | ||||
\(256\) | −1.95542 | − | 15.8801i | −0.122214 | − | 0.992504i | ||||
\(257\) | −16.7030 | − | 9.64346i | −1.04190 | − | 0.601543i | −0.121531 | − | 0.992588i | \(-0.538780\pi\) |
−0.920372 | + | 0.391045i | \(0.872114\pi\) | |||||||
\(258\) | 1.27419 | + | 1.40882i | 0.0793278 | + | 0.0877092i | ||||
\(259\) | 5.67158 | + | 2.74066i | 0.352415 | + | 0.170296i | ||||
\(260\) | −0.605095 | + | 6.01444i | −0.0375264 | + | 0.373000i | ||||
\(261\) | −5.72889 | − | 3.30757i | −0.354609 | − | 0.204734i | ||||
\(262\) | −1.21692 | + | 3.77385i | −0.0751817 | + | 0.233150i | ||||
\(263\) | −21.0740 | + | 12.1671i | −1.29948 | + | 0.750254i | −0.980314 | − | 0.197446i | \(-0.936735\pi\) |
−0.319164 | + | 0.947699i | \(0.603402\pi\) | |||||||
\(264\) | −1.83207 | − | 16.3785i | −0.112756 | − | 1.00803i | ||||
\(265\) | − | 23.2889i | − | 1.43063i | ||||||
\(266\) | −0.602109 | + | 2.47679i | −0.0369177 | + | 0.151862i | ||||
\(267\) | −12.3909 | −0.758308 | ||||||||
\(268\) | 21.6096 | + | 15.5539i | 1.32002 | + | 0.950103i | ||||
\(269\) | −10.4505 | − | 18.1007i | −0.637176 | − | 1.10362i | −0.986050 | − | 0.166452i | \(-0.946769\pi\) |
0.348873 | − | 0.937170i | \(-0.386564\pi\) | |||||||
\(270\) | −1.25122 | + | 3.88021i | −0.0761467 | + | 0.236142i | ||||
\(271\) | 9.99697 | − | 17.3153i | 0.607273 | − | 1.05183i | −0.384415 | − | 0.923160i | \(-0.625597\pi\) |
0.991688 | − | 0.128667i | \(-0.0410698\pi\) | |||||||
\(272\) | −5.43810 | + | 26.7529i | −0.329733 | + | 1.62213i | ||||
\(273\) | 2.29394 | − | 1.55948i | 0.138835 | − | 0.0943840i | ||||
\(274\) | −13.3865 | + | 12.1073i | −0.808709 | + | 0.731430i | ||||
\(275\) | 9.64567 | − | 16.7068i | 0.581656 | − | 1.00746i | ||||
\(276\) | 3.91497 | − | 1.76398i | 0.235654 | − | 0.106179i | ||||
\(277\) | 13.2433 | − | 7.64600i | 0.795710 | − | 0.459404i | −0.0462586 | − | 0.998929i | \(-0.514730\pi\) |
0.841969 | + | 0.539526i | \(0.181396\pi\) | |||||||
\(278\) | 8.45852 | − | 1.81760i | 0.507309 | − | 0.109012i | ||||
\(279\) | 3.83116 | 0.229365 | ||||||||
\(280\) | −21.2057 | + | 3.96523i | −1.26728 | + | 0.236968i | ||||
\(281\) | 5.59802 | 0.333950 | 0.166975 | − | 0.985961i | \(-0.446600\pi\) | ||||
0.166975 | + | 0.985961i | \(0.446600\pi\) | |||||||
\(282\) | 15.2830 | − | 3.28406i | 0.910090 | − | 0.195563i | ||||
\(283\) | 9.72911 | − | 5.61710i | 0.578335 | − | 0.333902i | −0.182136 | − | 0.983273i | \(-0.558301\pi\) |
0.760472 | + | 0.649371i | \(0.224968\pi\) | |||||||
\(284\) | 0.891706 | + | 1.97905i | 0.0529130 | + | 0.117435i | ||||
\(285\) | −0.981939 | + | 1.70077i | −0.0581650 | + | 0.100745i | ||||
\(286\) | −6.40733 | + | 5.79505i | −0.378874 | + | 0.342669i | ||||
\(287\) | −0.232859 | − | 3.16419i | −0.0137452 | − | 0.186776i | ||||
\(288\) | −4.86721 | + | 2.88275i | −0.286803 | + | 0.169868i | ||||
\(289\) | 14.7903 | − | 25.6175i | 0.870016 | − | 1.50691i | ||||
\(290\) | 8.27700 | − | 25.6682i | 0.486042 | − | 1.50729i | ||||
\(291\) | 1.81766 | + | 3.14828i | 0.106553 | + | 0.184556i | ||||
\(292\) | −6.59547 | + | 9.16336i | −0.385971 | + | 0.536245i | ||||
\(293\) | 17.7212 | 1.03528 | 0.517642 | − | 0.855598i | \(-0.326810\pi\) | ||||
0.517642 | + | 0.855598i | \(0.326810\pi\) | |||||||
\(294\) | 7.64367 | + | 6.29081i | 0.445788 | + | 0.366887i | ||||
\(295\) | 22.6901i | 1.32107i | ||||||||
\(296\) | 0.748579 | + | 6.69223i | 0.0435103 | + | 0.388978i | ||||
\(297\) | −5.04616 | + | 2.91340i | −0.292808 | + | 0.169053i | ||||
\(298\) | −0.877855 | + | 2.72236i | −0.0508528 | + | 0.157702i | ||||
\(299\) | −1.94938 | − | 1.12547i | −0.112735 | − | 0.0650878i | ||||
\(300\) | −6.58833 | − | 0.662832i | −0.380377 | − | 0.0382686i | ||||
\(301\) | 3.54417 | − | 0.260822i | 0.204283 | − | 0.0150335i | ||||
\(302\) | 13.3454 | + | 14.7554i | 0.767941 | + | 0.849078i | ||||
\(303\) | −2.16911 | − | 1.25234i | −0.124612 | − | 0.0719449i | ||||
\(304\) | −2.58395 | + | 0.865077i | −0.148200 | + | 0.0496156i | ||||
\(305\) | −4.71262 | − | 8.16250i | −0.269844 | − | 0.467383i | ||||
\(306\) | 9.43659 | − | 2.02777i | 0.539454 | − | 0.115920i | ||||
\(307\) | 20.3724i | 1.16271i | 0.813649 | + | 0.581357i | \(0.197478\pi\) | ||||
−0.813649 | + | 0.581357i | \(0.802522\pi\) | |||||||
\(308\) | −26.2789 | − | 16.1265i | −1.49738 | − | 0.918894i | ||||
\(309\) | − | 4.62644i | − | 0.263189i | ||||||
\(310\) | 3.28146 | + | 15.2709i | 0.186374 | + | 0.867328i | ||||
\(311\) | −14.4363 | − | 25.0045i | −0.818610 | − | 1.41787i | −0.906706 | − | 0.421762i | \(-0.861412\pi\) |
0.0880964 | − | 0.996112i | \(-0.471922\pi\) | |||||||
\(312\) | 2.71697 | + | 1.18801i | 0.153818 | + | 0.0672576i | ||||
\(313\) | −4.08718 | − | 2.35974i | −0.231021 | − | 0.133380i | 0.380022 | − | 0.924978i | \(-0.375916\pi\) |
−0.611043 | + | 0.791597i | \(0.709250\pi\) | |||||||
\(314\) | −5.49053 | + | 4.96586i | −0.309848 | + | 0.280240i | ||||
\(315\) | 4.28815 | + | 6.30772i | 0.241610 | + | 0.355400i | ||||
\(316\) | −25.1907 | − | 2.53436i | −1.41709 | − | 0.142569i | ||||
\(317\) | −22.0349 | − | 12.7218i | −1.23760 | − | 0.714529i | −0.268998 | − | 0.963141i | \(-0.586692\pi\) |
−0.968603 | + | 0.248612i | \(0.920026\pi\) | |||||||
\(318\) | −10.8733 | − | 3.50623i | −0.609746 | − | 0.196620i | ||||
\(319\) | 33.3811 | − | 19.2726i | 1.86898 | − | 1.07906i | ||||
\(320\) | −15.6594 | − | 16.9314i | −0.875389 | − | 0.946495i | ||||
\(321\) | 6.06946i | 0.338764i | ||||||||
\(322\) | 1.89765 | − | 7.80603i | 0.105752 | − | 0.435013i | ||||
\(323\) | 4.64938 | 0.258699 | ||||||||
\(324\) | 1.62325 | + | 1.16836i | 0.0901805 | + | 0.0649088i | ||||
\(325\) | 1.73553 | + | 3.00603i | 0.0962700 | + | 0.166745i | ||||
\(326\) | 1.31423 | + | 0.423790i | 0.0727887 | + | 0.0234716i | ||||
\(327\) | −7.28224 | + | 12.6132i | −0.402709 | + | 0.697513i | ||||
\(328\) | 2.73066 | − | 2.01193i | 0.150776 | − | 0.111090i | ||||
\(329\) | 12.7240 | − | 26.3314i | 0.701499 | − | 1.45170i | ||||
\(330\) | −15.9349 | − | 17.6185i | −0.877185 | − | 0.969864i | ||||
\(331\) | 9.85929 | − | 17.0768i | 0.541916 | − | 0.938625i | −0.456878 | − | 0.889529i | \(-0.651033\pi\) |
0.998794 | − | 0.0490963i | \(-0.0156341\pi\) | |||||||
\(332\) | −0.396044 | − | 0.878981i | −0.0217357 | − | 0.0482404i | ||||
\(333\) | 2.06185 | − | 1.19041i | 0.112989 | − | 0.0652339i | ||||
\(334\) | −0.618778 | − | 2.87960i | −0.0338581 | − | 0.157565i | ||||
\(335\) | 38.3781 | 2.09682 | ||||||||
\(336\) | −1.34127 | + | 10.4977i | −0.0731723 | + | 0.572695i | ||||
\(337\) | −24.7720 | −1.34942 | −0.674709 | − | 0.738084i | \(-0.735731\pi\) | ||||
−0.674709 | + | 0.738084i | \(0.735731\pi\) | |||||||
\(338\) | 3.53584 | + | 16.4547i | 0.192325 | + | 0.895019i | ||||
\(339\) | 3.31580 | − | 1.91438i | 0.180089 | − | 0.103975i | ||||
\(340\) | 16.1652 | + | 35.8772i | 0.876683 | + | 1.94571i | ||||
\(341\) | −11.1617 | + | 19.3326i | −0.604440 | + | 1.04692i | ||||
\(342\) | 0.646234 | + | 0.714512i | 0.0349443 | + | 0.0386364i | ||||
\(343\) | 18.0723 | − | 4.04850i | 0.975815 | − | 0.218599i | ||||
\(344\) | 2.25354 | + | 3.05858i | 0.121503 | + | 0.164908i | ||||
\(345\) | 3.09475 | − | 5.36027i | 0.166616 | − | 0.288587i | ||||
\(346\) | −28.7314 | − | 9.26477i | −1.54461 | − | 0.498077i | ||||
\(347\) | 7.49413 | + | 12.9802i | 0.402306 | + | 0.696815i | 0.994004 | − | 0.109345i | \(-0.0348754\pi\) |
−0.591698 | + | 0.806160i | \(0.701542\pi\) | |||||||
\(348\) | −10.7380 | − | 7.72887i | −0.575619 | − | 0.414311i | ||||
\(349\) | −27.4546 | −1.46961 | −0.734806 | − | 0.678278i | \(-0.762727\pi\) | ||||
−0.734806 | + | 0.678278i | \(0.762727\pi\) | |||||||
\(350\) | −8.55286 | + | 8.96145i | −0.457170 | + | 0.479010i | ||||
\(351\) | − | 1.04841i | − | 0.0559599i | ||||||
\(352\) | −0.366699 | − | 32.9593i | −0.0195451 | − | 1.75674i | ||||
\(353\) | 20.7884 | − | 12.0022i | 1.10645 | − | 0.638811i | 0.168544 | − | 0.985694i | \(-0.446093\pi\) |
0.937908 | + | 0.346883i | \(0.112760\pi\) | |||||||
\(354\) | 10.5937 | + | 3.41607i | 0.563051 | + | 0.181562i | ||||
\(355\) | 2.70966 | + | 1.56442i | 0.143814 | + | 0.0830310i | ||||
\(356\) | −24.6572 | − | 2.48069i | −1.30683 | − | 0.131476i | ||||
\(357\) | 7.85654 | − | 16.2585i | 0.415812 | − | 0.860491i | ||||
\(358\) | 7.28928 | − | 6.59273i | 0.385251 | − | 0.348437i | ||||
\(359\) | 11.8249 | + | 6.82714i | 0.624097 | + | 0.360322i | 0.778462 | − | 0.627691i | \(-0.216000\pi\) |
−0.154366 | + | 0.988014i | \(0.549333\pi\) | |||||||
\(360\) | −3.26670 | + | 7.47095i | −0.172170 | + | 0.393753i | ||||
\(361\) | −9.26796 | − | 16.0526i | −0.487788 | − | 0.844873i | ||||
\(362\) | −2.28066 | − | 10.6135i | −0.119869 | − | 0.557833i | ||||
\(363\) | − | 22.9516i | − | 1.20465i | ||||||
\(364\) | 4.87704 | − | 2.64404i | 0.255627 | − | 0.138585i | ||||
\(365\) | 16.2739i | 0.851813i | ||||||||
\(366\) | −4.52047 | + | 0.971374i | −0.236289 | + | 0.0507745i | ||||
\(367\) | −17.3424 | − | 30.0379i | −0.905264 | − | 1.56796i | −0.820562 | − | 0.571557i | \(-0.806340\pi\) |
−0.0847016 | − | 0.996406i | \(-0.526994\pi\) | |||||||
\(368\) | 8.14377 | − | 2.72644i | 0.424524 | − | 0.142126i | ||||
\(369\) | −1.03853 | − | 0.599593i | −0.0540635 | − | 0.0312136i | ||||
\(370\) | 6.51094 | + | 7.19885i | 0.338488 | + | 0.374251i | ||||
\(371\) | −17.6758 | + | 12.0165i | −0.917682 | + | 0.623865i | ||||
\(372\) | 7.62383 | + | 0.767011i | 0.395277 | + | 0.0397676i | ||||
\(373\) | −5.26744 | − | 3.04116i | −0.272738 | − | 0.157465i | 0.357393 | − | 0.933954i | \(-0.383666\pi\) |
−0.630131 | + | 0.776489i | \(0.716999\pi\) | |||||||
\(374\) | −17.2601 | + | 53.5262i | −0.892501 | + | 2.76778i | ||||
\(375\) | 4.21730 | − | 2.43486i | 0.217780 | − | 0.125736i | ||||
\(376\) | 31.0700 | − | 3.47542i | 1.60231 | − | 0.179231i | ||||
\(377\) | 6.93538i | 0.357190i | ||||||||
\(378\) | 3.59059 | − | 1.05244i | 0.184680 | − | 0.0541317i | ||||
\(379\) | 19.0628 | 0.979189 | 0.489594 | − | 0.871950i | \(-0.337145\pi\) | ||||
0.489594 | + | 0.871950i | \(0.337145\pi\) | |||||||
\(380\) | −2.29451 | + | 3.18786i | −0.117706 | + | 0.163534i | ||||
\(381\) | 0.275208 | + | 0.476674i | 0.0140993 | + | 0.0244207i | ||||
\(382\) | 7.72989 | − | 23.9715i | 0.395496 | − | 1.22649i | ||||
\(383\) | 4.12501 | − | 7.14473i | 0.210778 | − | 0.365079i | −0.741180 | − | 0.671306i | \(-0.765733\pi\) |
0.951958 | + | 0.306228i | \(0.0990668\pi\) | |||||||
\(384\) | −10.2627 | + | 4.76212i | −0.523714 | + | 0.243016i | ||||
\(385\) | −44.3228 | + | 3.26180i | −2.25890 | + | 0.166237i | ||||
\(386\) | 14.4700 | − | 13.0872i | 0.736502 | − | 0.666123i | ||||
\(387\) | 0.671597 | − | 1.16324i | 0.0341392 | − | 0.0591308i | ||||
\(388\) | 2.98677 | + | 6.62884i | 0.151630 | + | 0.336528i | ||||
\(389\) | −16.9926 | + | 9.81070i | −0.861560 | + | 0.497422i | −0.864534 | − | 0.502574i | \(-0.832387\pi\) |
0.00297421 | + | 0.999996i | \(0.499053\pi\) | |||||||
\(390\) | 4.17893 | − | 0.897981i | 0.211608 | − | 0.0454711i | ||||
\(391\) | −14.6533 | −0.741051 | ||||||||
\(392\) | 13.9511 | + | 14.0487i | 0.704638 | + | 0.709567i | ||||
\(393\) | 2.80383 | 0.141434 | ||||||||
\(394\) | −1.56488 | + | 0.336268i | −0.0788378 | + | 0.0169409i | ||||
\(395\) | −31.6045 | + | 18.2469i | −1.59019 | + | 0.918099i | ||||
\(396\) | −10.6249 | + | 4.78728i | −0.533921 | + | 0.240570i | ||||
\(397\) | −15.6816 | + | 27.1613i | −0.787035 | + | 1.36318i | 0.140741 | + | 0.990047i | \(0.455052\pi\) |
−0.927776 | + | 0.373138i | \(0.878282\pi\) | |||||||
\(398\) | 8.94870 | − | 8.09358i | 0.448558 | − | 0.405694i | ||||
\(399\) | 1.79750 | − | 0.132281i | 0.0899876 | − | 0.00662235i | ||||
\(400\) | −12.9778 | − | 2.63801i | −0.648889 | − | 0.131901i | ||||
\(401\) | −17.4562 | + | 30.2350i | −0.871722 | + | 1.50987i | −0.0115069 | + | 0.999934i | \(0.503663\pi\) |
−0.860215 | + | 0.509932i | \(0.829670\pi\) | |||||||
\(402\) | 5.77796 | − | 17.9183i | 0.288178 | − | 0.893683i | ||||
\(403\) | −2.00831 | − | 3.47849i | −0.100041 | − | 0.173276i | ||||
\(404\) | −4.06571 | − | 2.92636i | −0.202277 | − | 0.145592i | ||||
\(405\) | 2.88284 | 0.143250 | ||||||||
\(406\) | −23.7523 | + | 6.96205i | −1.17881 | + | 0.345521i | ||||
\(407\) | 13.8725i | 0.687636i | ||||||||
\(408\) | 19.1844 | − | 2.14592i | 0.949767 | − | 0.106239i | ||||
\(409\) | 11.8182 | − | 6.82325i | 0.584373 | − | 0.337388i | −0.178496 | − | 0.983941i | \(-0.557123\pi\) |
0.762869 | + | 0.646553i | \(0.223790\pi\) | |||||||
\(410\) | 1.50044 | − | 4.65310i | 0.0741017 | − | 0.229800i | ||||
\(411\) | 11.0530 | + | 6.38148i | 0.545206 | + | 0.314775i | ||||
\(412\) | 0.926229 | − | 9.20640i | 0.0456320 | − | 0.453567i | ||||
\(413\) | 17.2213 | − | 11.7075i | 0.847405 | − | 0.576088i | ||||
\(414\) | −2.03672 | − | 2.25191i | −0.100099 | − | 0.110675i | ||||
\(415\) | −1.20348 | − | 0.694827i | −0.0590763 | − | 0.0341077i | ||||
\(416\) | 5.16880 | + | 2.90802i | 0.253421 | + | 0.142578i | ||||
\(417\) | −3.05880 | − | 5.29800i | −0.149790 | − | 0.259444i | ||||
\(418\) | −5.48828 | + | 1.17934i | −0.268440 | + | 0.0576834i | ||||
\(419\) | − | 4.22322i | − | 0.206318i | −0.994665 | − | 0.103159i | \(-0.967105\pi\) | ||
0.994665 | − | 0.103159i | \(-0.0328950\pi\) | |||||||
\(420\) | 7.27041 | + | 13.4106i | 0.354759 | + | 0.654369i | ||||
\(421\) | − | 11.6892i | − | 0.569697i | −0.958573 | − | 0.284849i | \(-0.908057\pi\) | ||
0.958573 | − | 0.284849i | \(-0.0919433\pi\) | |||||||
\(422\) | −6.31167 | − | 29.3726i | −0.307247 | − | 1.42983i | ||||
\(423\) | −5.52670 | − | 9.57253i | −0.268717 | − | 0.465432i | ||||
\(424\) | −20.9355 | − | 9.15411i | −1.01672 | − | 0.444563i | ||||
\(425\) | 19.5688 | + | 11.2981i | 0.949228 | + | 0.548037i | ||||
\(426\) | 1.13836 | − | 1.02958i | 0.0551537 | − | 0.0498833i | ||||
\(427\) | −3.76357 | + | 7.78842i | −0.182132 | + | 0.376908i | ||||
\(428\) | −1.21513 | + | 12.0779i | −0.0587354 | + | 0.583810i | ||||
\(429\) | 5.29044 | + | 3.05443i | 0.255425 | + | 0.147469i | ||||
\(430\) | 5.21188 | + | 1.68063i | 0.251339 | + | 0.0810472i | ||||
\(431\) | −29.7064 | + | 17.1510i | −1.43091 | + | 0.826136i | −0.997190 | − | 0.0749129i | \(-0.976132\pi\) |
−0.433719 | + | 0.901048i | \(0.642799\pi\) | |||||||
\(432\) | 2.99628 | + | 2.64996i | 0.144159 | + | 0.127496i | ||||
\(433\) | 14.1884i | 0.681853i | 0.940090 | + | 0.340926i | \(0.110741\pi\) | ||||
−0.940090 | + | 0.340926i | \(0.889259\pi\) | |||||||
\(434\) | 9.89713 | − | 10.3699i | 0.475077 | − | 0.497773i | ||||
\(435\) | −19.0704 | −0.914358 | ||||||||
\(436\) | −17.0165 | + | 23.6418i | −0.814945 | + | 1.13224i | ||||
\(437\) | −0.731303 | − | 1.26665i | −0.0349830 | − | 0.0605923i | ||||
\(438\) | 7.59807 | + | 2.45009i | 0.363050 | + | 0.117070i | ||||
\(439\) | 14.0252 | − | 24.2923i | 0.669386 | − | 1.15941i | −0.308691 | − | 0.951163i | \(-0.599891\pi\) |
0.978076 | − | 0.208247i | \(-0.0667759\pi\) | |||||||
\(440\) | −28.1824 | − | 38.2501i | −1.34354 | − | 1.82350i | ||||
\(441\) | 2.57485 | − | 6.50924i | 0.122612 | − | 0.309964i | ||||
\(442\) | −6.78781 | − | 7.50498i | −0.322863 | − | 0.356975i | ||||
\(443\) | −5.51040 | + | 9.54430i | −0.261807 | + | 0.453463i | −0.966722 | − | 0.255828i | \(-0.917652\pi\) |
0.704915 | + | 0.709292i | \(0.250985\pi\) | |||||||
\(444\) | 4.34130 | − | 1.95607i | 0.206029 | − | 0.0928309i | ||||
\(445\) | −30.9352 | + | 17.8605i | −1.46647 | + | 0.846667i | ||||
\(446\) | 0.927595 | + | 4.31674i | 0.0439229 | + | 0.204403i | ||||
\(447\) | 2.02260 | 0.0956659 | ||||||||
\(448\) | −4.77073 | + | 20.6214i | −0.225396 | + | 0.974267i | ||||
\(449\) | 30.2270 | 1.42650 | 0.713250 | − | 0.700910i | \(-0.247222\pi\) | ||||
0.713250 | + | 0.700910i | \(0.247222\pi\) | |||||||
\(450\) | 0.983666 | + | 4.57768i | 0.0463705 | + | 0.215794i | ||||
\(451\) | 6.05128 | − | 3.49371i | 0.284944 | − | 0.164512i | ||||
\(452\) | 6.98155 | − | 3.14569i | 0.328384 | − | 0.147961i | ||||
\(453\) | 7.03404 | − | 12.1833i | 0.330488 | − | 0.572422i | ||||
\(454\) | −4.95825 | − | 5.48211i | −0.232702 | − | 0.257288i | ||||
\(455\) | 3.47921 | − | 7.19996i | 0.163108 | − | 0.337539i | ||||
\(456\) | 1.14293 | + | 1.55122i | 0.0535225 | + | 0.0726427i | ||||
\(457\) | −12.7386 | + | 22.0639i | −0.595887 | + | 1.03211i | 0.397534 | + | 0.917587i | \(0.369866\pi\) |
−0.993421 | + | 0.114519i | \(0.963467\pi\) | |||||||
\(458\) | 38.2602 | + | 12.3374i | 1.78778 | + | 0.576490i | ||||
\(459\) | −3.41250 | − | 5.91062i | −0.159282 | − | 0.275884i | ||||
\(460\) | 7.23156 | − | 10.0471i | 0.337173 | − | 0.468449i | ||||
\(461\) | 27.9292 | 1.30079 | 0.650395 | − | 0.759596i | \(-0.274603\pi\) | ||||
0.650395 | + | 0.759596i | \(0.274603\pi\) | |||||||
\(462\) | −5.15006 | + | 21.1849i | −0.239603 | + | 0.985610i | ||||
\(463\) | 19.4232i | 0.902674i | 0.892354 | + | 0.451337i | \(0.149053\pi\) | ||||
−0.892354 | + | 0.451337i | \(0.850947\pi\) | |||||||
\(464\) | −19.8209 | − | 17.5299i | −0.920160 | − | 0.813804i | ||||
\(465\) | 9.56493 | − | 5.52232i | 0.443563 | − | 0.256091i | ||||
\(466\) | 8.23652 | + | 2.65596i | 0.381550 | + | 0.123035i | ||||
\(467\) | −1.30760 | − | 0.754943i | −0.0605085 | − | 0.0349346i | 0.469441 | − | 0.882964i | \(-0.344456\pi\) |
−0.529949 | + | 0.848029i | \(0.677789\pi\) | |||||||
\(468\) | 0.209895 | − | 2.08629i | 0.00970240 | − | 0.0964386i | ||||
\(469\) | −19.8021 | − | 29.1282i | −0.914376 | − | 1.34501i | ||||
\(470\) | 33.4221 | − | 30.2283i | 1.54165 | − | 1.39433i | ||||
\(471\) | 4.53344 | + | 2.61739i | 0.208890 | + | 0.120603i | ||||
\(472\) | 20.3971 | + | 8.91873i | 0.938855 | + | 0.410518i | ||||
\(473\) | 3.91326 | + | 6.77797i | 0.179932 | + | 0.311651i | ||||
\(474\) | 3.76108 | + | 17.5029i | 0.172752 | + | 0.803934i | ||||
\(475\) | 2.25541i | 0.103485i | ||||||||
\(476\) | 18.8892 | − | 30.7808i | 0.865784 | − | 1.41083i | ||||
\(477\) | 8.07845i | 0.369887i | ||||||||
\(478\) | −12.2161 | + | 2.62504i | −0.558752 | + | 0.120067i | ||||
\(479\) | 7.12030 | + | 12.3327i | 0.325335 | + | 0.563496i | 0.981580 | − | 0.191051i | \(-0.0611897\pi\) |
−0.656245 | + | 0.754548i | \(0.727856\pi\) | |||||||
\(480\) | −7.99629 | + | 14.2128i | −0.364979 | + | 0.648724i | ||||
\(481\) | −2.16166 | − | 1.24803i | −0.0985631 | − | 0.0569054i | ||||
\(482\) | −5.64951 | − | 6.24641i | −0.257328 | − | 0.284516i | ||||
\(483\) | −5.66514 | + | 0.416908i | −0.257773 | + | 0.0189700i | ||||
\(484\) | 4.59499 | − | 45.6727i | 0.208863 | − | 2.07603i | ||||
\(485\) | 9.07601 | + | 5.24004i | 0.412120 | + | 0.237938i | ||||
\(486\) | 0.434022 | − | 1.34597i | 0.0196876 | − | 0.0610543i | ||||
\(487\) | −6.40076 | + | 3.69548i | −0.290046 | + | 0.167458i | −0.637963 | − | 0.770067i | \(-0.720223\pi\) |
0.347916 | + | 0.937526i | \(0.386889\pi\) | |||||||
\(488\) | −9.19001 | + | 1.02798i | −0.416012 | + | 0.0465343i | ||||
\(489\) | − | 0.976425i | − | 0.0441555i | ||||||
\(490\) | 28.1510 | + | 4.68798i | 1.27173 | + | 0.211781i | ||||
\(491\) | 14.0578 | 0.634420 | 0.317210 | − | 0.948355i | \(-0.397254\pi\) | ||||
0.317210 | + | 0.948355i | \(0.397254\pi\) | |||||||
\(492\) | −1.94658 | − | 1.40108i | −0.0877585 | − | 0.0631655i | ||||
\(493\) | 22.5742 | + | 39.0996i | 1.01669 | + | 1.76096i | ||||
\(494\) | 0.309981 | − | 0.961297i | 0.0139467 | − | 0.0432508i | ||||
\(495\) | −8.39888 | + | 14.5473i | −0.377502 | + | 0.653852i | ||||
\(496\) | 15.0175 | + | 3.05263i | 0.674306 | + | 0.137067i | ||||
\(497\) | −0.210751 | − | 2.86378i | −0.00945346 | − | 0.128458i | ||||
\(498\) | −0.505594 | + | 0.457280i | −0.0226562 | + | 0.0204912i | ||||
\(499\) | −13.4960 | + | 23.3757i | −0.604162 | + | 1.04644i | 0.388021 | + | 0.921651i | \(0.373159\pi\) |
−0.992183 | + | 0.124789i | \(0.960175\pi\) | |||||||
\(500\) | 8.87970 | − | 4.00094i | 0.397112 | − | 0.178928i | ||||
\(501\) | −1.80364 | + | 1.04133i | −0.0805808 | + | 0.0465233i | ||||
\(502\) | −2.95825 | + | 0.635678i | −0.132033 | + | 0.0283717i | ||||
\(503\) | 3.15505 | 0.140677 | 0.0703384 | − | 0.997523i | \(-0.477592\pi\) | ||||
0.0703384 | + | 0.997523i | \(0.477592\pi\) | |||||||
\(504\) | 7.35582 | − | 1.37546i | 0.327654 | − | 0.0612678i | ||||
\(505\) | −7.22059 | −0.321312 | ||||||||
\(506\) | 17.2973 | − | 3.71689i | 0.768957 | − | 0.165236i | ||||
\(507\) | 10.3064 | − | 5.95042i | 0.457725 | − | 0.264267i | ||||
\(508\) | 0.452219 | + | 1.00366i | 0.0200640 | + | 0.0445301i | ||||
\(509\) | 10.8815 | − | 18.8473i | 0.482315 | − | 0.835394i | −0.517479 | − | 0.855696i | \(-0.673129\pi\) |
0.999794 | + | 0.0203019i | \(0.00646275\pi\) | |||||||
\(510\) | 20.6367 | − | 18.6647i | 0.913808 | − | 0.826485i | ||||
\(511\) | 12.3515 | − | 8.39689i | 0.546399 | − | 0.371457i | ||||
\(512\) | −21.3756 | + | 7.42178i | −0.944678 | + | 0.327999i | ||||
\(513\) | 0.340614 | − | 0.589961i | 0.0150385 | − | 0.0260474i | ||||
\(514\) | −8.37095 | + | 25.9595i | −0.369227 | + | 1.14503i | ||||
\(515\) | −6.66865 | − | 11.5504i | −0.293856 | − | 0.508973i | ||||
\(516\) | 1.56933 | − | 2.18034i | 0.0690860 | − | 0.0959841i | ||||
\(517\) | 64.4060 | 2.83257 | ||||||||
\(518\) | 2.10430 | − | 8.65609i | 0.0924577 | − | 0.380327i | ||||
\(519\) | 21.3463i | 0.936999i | ||||||||
\(520\) | 8.49565 | − | 0.950307i | 0.372559 | − | 0.0416737i | ||||
\(521\) | −34.9828 | + | 20.1973i | −1.53262 | + | 0.884860i | −0.533383 | + | 0.845874i | \(0.679080\pi\) |
−0.999240 | + | 0.0389867i | \(0.987587\pi\) | |||||||
\(522\) | −2.87112 | + | 8.90377i | −0.125666 | + | 0.389707i | ||||
\(523\) | 25.4468 | + | 14.6917i | 1.11271 | + | 0.642424i | 0.939530 | − | 0.342466i | \(-0.111262\pi\) |
0.173181 | + | 0.984890i | \(0.444595\pi\) | |||||||
\(524\) | 5.57949 | + | 0.561335i | 0.243741 | + | 0.0245221i | ||||
\(525\) | 7.88697 | + | 3.81120i | 0.344216 | + | 0.166334i | ||||
\(526\) | 23.0841 | + | 25.5230i | 1.00651 | + | 1.11286i | ||||
\(527\) | −22.6445 | − | 13.0738i | −0.986410 | − | 0.569504i | ||||
\(528\) | −22.1015 | + | 7.39932i | −0.961844 | + | 0.322014i | ||||
\(529\) | −9.19517 | − | 15.9265i | −0.399790 | − | 0.692457i | ||||
\(530\) | −32.2005 | + | 6.91934i | −1.39870 | + | 0.300557i | ||||
\(531\) | − | 7.87073i | − | 0.341561i | ||||||
\(532\) | 3.60343 | + | 0.0966319i | 0.156228 | + | 0.00418952i | ||||
\(533\) | 1.25724i | 0.0544570i | ||||||||
\(534\) | 3.68143 | + | 17.1322i | 0.159311 | + | 0.741385i | ||||
\(535\) | 8.74866 | + | 15.1531i | 0.378237 | + | 0.655126i | ||||
\(536\) | 15.0852 | − | 34.4998i | 0.651580 | − | 1.49016i | ||||
\(537\) | −6.01865 | − | 3.47487i | −0.259724 | − | 0.149952i | ||||
\(538\) | −21.9221 | + | 19.8272i | −0.945129 | + | 0.854813i | ||||
\(539\) | 25.3451 | + | 31.9571i | 1.09169 | + | 1.37649i | ||||
\(540\) | 5.73673 | + | 0.577155i | 0.246870 | + | 0.0248368i | ||||
\(541\) | −26.5848 | − | 15.3487i | −1.14297 | − | 0.659893i | −0.195805 | − | 0.980643i | \(-0.562732\pi\) |
−0.947164 | + | 0.320749i | \(0.896065\pi\) | |||||||
\(542\) | −26.9112 | − | 8.67782i | −1.15593 | − | 0.372744i | ||||
\(543\) | −6.64777 | + | 3.83809i | −0.285283 | + | 0.164708i | ||||
\(544\) | 38.6056 | − | 0.429518i | 1.65520 | − | 0.0184154i | ||||
\(545\) | 41.9872i | 1.79853i | ||||||||
\(546\) | −2.83777 | − | 2.70838i | −0.121445 | − | 0.115908i | ||||
\(547\) | −15.7691 | −0.674240 | −0.337120 | − | 0.941462i | \(-0.609453\pi\) | ||||
−0.337120 | + | 0.941462i | \(0.609453\pi\) | |||||||
\(548\) | 20.7175 | + | 14.9117i | 0.885006 | + | 0.636997i | ||||
\(549\) | 1.63471 | + | 2.83140i | 0.0697678 | + | 0.120841i | ||||
\(550\) | −25.9655 | − | 8.37287i | −1.10717 | − | 0.357020i | ||||
\(551\) | −2.25322 | + | 3.90268i | −0.0959902 | + | 0.166260i | ||||
\(552\) | −3.60214 | − | 4.88895i | −0.153317 | − | 0.208088i | ||||
\(553\) | 30.1561 | + | 14.5722i | 1.28237 | + | 0.619674i | ||||
\(554\) | −14.5064 | − | 16.0391i | −0.616320 | − | 0.681437i | ||||
\(555\) | 3.43176 | − | 5.94398i | 0.145670 | − | 0.252308i | ||||
\(556\) | −5.02620 | − | 11.1552i | −0.213158 | − | 0.473085i | ||||
\(557\) | 19.2427 | − | 11.1098i | 0.815340 | − | 0.470737i | −0.0334668 | − | 0.999440i | \(-0.510655\pi\) |
0.848807 | + | 0.528703i | \(0.177321\pi\) | |||||||
\(558\) | −1.13827 | − | 5.29716i | −0.0481868 | − | 0.224247i | ||||
\(559\) | −1.40822 | −0.0595612 | ||||||||
\(560\) | 11.7829 | + | 28.1420i | 0.497920 | + | 1.18922i | ||||
\(561\) | 39.7679 | 1.67900 | ||||||||
\(562\) | −1.66322 | − | 7.74012i | −0.0701588 | − | 0.326497i | ||||
\(563\) | 20.7809 | − | 11.9978i | 0.875809 | − | 0.505648i | 0.00653450 | − | 0.999979i | \(-0.497920\pi\) |
0.869274 | + | 0.494330i | \(0.164587\pi\) | |||||||
\(564\) | −9.08143 | − | 20.1554i | −0.382397 | − | 0.848693i | ||||
\(565\) | 5.51885 | − | 9.55893i | 0.232180 | − | 0.402147i | ||||
\(566\) | −10.6571 | − | 11.7831i | −0.447951 | − | 0.495280i | ||||
\(567\) | −1.48747 | − | 2.18802i | −0.0624680 | − | 0.0918881i | ||||
\(568\) | 2.47141 | − | 1.82091i | 0.103698 | − | 0.0764038i | ||||
\(569\) | −0.631897 | + | 1.09448i | −0.0264905 | + | 0.0458829i | −0.878967 | − | 0.476883i | \(-0.841767\pi\) |
0.852476 | + | 0.522766i | \(0.175100\pi\) | |||||||
\(570\) | 2.64331 | + | 0.852366i | 0.110716 | + | 0.0357017i | ||||
\(571\) | −10.3555 | − | 17.9363i | −0.433365 | − | 0.750611i | 0.563795 | − | 0.825915i | \(-0.309341\pi\) |
−0.997161 | + | 0.0753037i | \(0.976007\pi\) | |||||||
\(572\) | 9.91622 | + | 7.13735i | 0.414618 | + | 0.298428i | ||||
\(573\) | −17.8099 | −0.744019 | ||||||||
\(574\) | −4.30579 | + | 1.26207i | −0.179720 | + | 0.0526779i | ||||
\(575\) | − | 7.10831i | − | 0.296437i | ||||||
\(576\) | 5.43194 | + | 5.87317i | 0.226331 | + | 0.244715i | ||||
\(577\) | −27.2402 | + | 15.7271i | −1.13402 | + | 0.654728i | −0.944943 | − | 0.327234i | \(-0.893884\pi\) |
−0.189079 | + | 0.981962i | \(0.560550\pi\) | |||||||
\(578\) | −39.8144 | − | 12.8386i | −1.65606 | − | 0.534016i | ||||
\(579\) | −11.9476 | − | 6.89797i | −0.496527 | − | 0.286670i | ||||
\(580\) | −37.9493 | − | 3.81797i | −1.57576 | − | 0.158533i | ||||
\(581\) | 0.0936032 | + | 1.27192i | 0.00388332 | + | 0.0527683i | ||||
\(582\) | 3.81294 | − | 3.44858i | 0.158051 | − | 0.142948i | ||||
\(583\) | −40.7652 | − | 23.5358i | −1.68832 | − | 0.974752i | ||||
\(584\) | 14.6293 | + | 6.39672i | 0.605365 | + | 0.264698i | ||||
\(585\) | −1.51120 | − | 2.61747i | −0.0624804 | − | 0.108219i | ||||
\(586\) | −5.26512 | − | 24.5022i | −0.217500 | − | 1.01218i | ||||
\(587\) | − | 5.93391i | − | 0.244919i | −0.992474 | − | 0.122459i | \(-0.960922\pi\) | ||
0.992474 | − | 0.122459i | \(-0.0390781\pi\) | |||||||
\(588\) | 6.42700 | − | 12.4376i | 0.265045 | − | 0.512918i | ||||
\(589\) | − | 2.60989i | − | 0.107539i | ||||||
\(590\) | 31.3725 | − | 6.74143i | 1.29159 | − | 0.277540i | ||||
\(591\) | 0.565900 | + | 0.980167i | 0.0232780 | + | 0.0403187i | ||||
\(592\) | 9.03061 | − | 3.02334i | 0.371156 | − | 0.124259i | ||||
\(593\) | −13.6001 | − | 7.85199i | −0.558487 | − | 0.322443i | 0.194051 | − | 0.980991i | \(-0.437837\pi\) |
−0.752538 | + | 0.658549i | \(0.771171\pi\) | |||||||
\(594\) | 5.52748 | + | 6.11148i | 0.226795 | + | 0.250757i | ||||
\(595\) | −3.82058 | − | 51.9158i | −0.156628 | − | 2.12834i | ||||
\(596\) | 4.02489 | + | 0.404932i | 0.164866 | + | 0.0165867i | ||||
\(597\) | −7.38881 | − | 4.26593i | −0.302404 | − | 0.174593i | ||||
\(598\) | −0.976960 | + | 3.02970i | −0.0399509 | + | 0.123894i | ||||
\(599\) | −15.0452 | + | 8.68632i | −0.614728 | + | 0.354914i | −0.774814 | − | 0.632190i | \(-0.782156\pi\) |
0.160085 | + | 0.987103i | \(0.448823\pi\) | |||||||
\(600\) | 1.04098 | + | 9.30630i | 0.0424980 | + | 0.379928i | ||||
\(601\) | − | 43.6846i | − | 1.78193i | −0.454069 | − | 0.890966i | \(-0.650028\pi\) | ||
0.454069 | − | 0.890966i | \(-0.349972\pi\) | |||||||
\(602\) | −1.41363 | − | 4.82287i | −0.0576153 | − | 0.196565i | ||||
\(603\) | −13.3126 | −0.542130 | ||||||||
\(604\) | 16.4366 | − | 22.8360i | 0.668794 | − | 0.929184i | ||||
\(605\) | −33.0830 | − | 57.3014i | −1.34501 | − | 2.32963i | ||||
\(606\) | −1.08708 | + | 3.37121i | −0.0441598 | + | 0.136946i | ||||
\(607\) | −9.60046 | + | 16.6285i | −0.389671 | + | 0.674929i | −0.992405 | − | 0.123012i | \(-0.960745\pi\) |
0.602734 | + | 0.797942i | \(0.294078\pi\) | |||||||
\(608\) | 1.96382 | + | 3.31568i | 0.0796432 | + | 0.134469i | ||||
\(609\) | 9.83986 | + | 14.4741i | 0.398731 | + | 0.586519i | ||||
\(610\) | −9.88573 | + | 8.94106i | −0.400262 | + | 0.362013i | ||||
\(611\) | −5.79424 | + | 10.0359i | −0.234410 | + | 0.406010i | ||||
\(612\) | −5.60739 | − | 12.4451i | −0.226665 | − | 0.503062i | ||||
\(613\) | −14.8672 | + | 8.58358i | −0.600480 | + | 0.346688i | −0.769231 | − | 0.638971i | \(-0.779360\pi\) |
0.168750 | + | 0.985659i | \(0.446027\pi\) | |||||||
\(614\) | 28.1679 | − | 6.05282i | 1.13676 | − | 0.244272i | ||||
\(615\) | −3.45707 | −0.139402 | ||||||||
\(616\) | −14.4897 | + | 41.1259i | −0.583806 | + | 1.65701i | ||||
\(617\) | −16.8150 | −0.676946 | −0.338473 | − | 0.940976i | \(-0.609910\pi\) | ||||
−0.338473 | + | 0.940976i | \(0.609910\pi\) | |||||||
\(618\) | −6.39676 | + | 1.37456i | −0.257315 | + | 0.0552927i | ||||
\(619\) | −30.1572 | + | 17.4113i | −1.21212 | + | 0.699818i | −0.963221 | − | 0.268712i | \(-0.913402\pi\) |
−0.248899 | + | 0.968529i | \(0.580069\pi\) | |||||||
\(620\) | 20.1394 | − | 9.07422i | 0.808816 | − | 0.364430i | ||||
\(621\) | −1.07351 | + | 1.85937i | −0.0430783 | + | 0.0746138i | ||||
\(622\) | −30.2833 | + | 27.3895i | −1.21425 | + | 1.09822i | ||||
\(623\) | 29.5175 | + | 14.2636i | 1.18259 | + | 0.571461i | ||||
\(624\) | 0.835363 | − | 4.10959i | 0.0334413 | − | 0.164515i | ||||
\(625\) | 15.2963 | − | 26.4940i | 0.611852 | − | 1.05976i | ||||
\(626\) | −2.04836 | + | 6.35225i | −0.0818688 | + | 0.253887i | ||||
\(627\) | 1.98469 | + | 3.43759i | 0.0792610 | + | 0.137284i | ||||
\(628\) | 8.49734 | + | 6.11609i | 0.339081 | + | 0.244059i | ||||
\(629\) | −16.2491 | −0.647892 | ||||||||
\(630\) | 7.44733 | − | 7.80310i | 0.296709 | − | 0.310883i | ||||
\(631\) | − | 11.8869i | − | 0.473210i | −0.971606 | − | 0.236605i | \(-0.923965\pi\) | ||
0.971606 | − | 0.236605i | \(-0.0760346\pi\) | |||||||
\(632\) | 3.98024 | + | 35.5829i | 0.158325 | + | 1.41541i | ||||
\(633\) | −18.3975 | + | 10.6218i | −0.731237 | + | 0.422180i | ||||
\(634\) | −11.0431 | + | 34.2463i | −0.438578 | + | 1.36009i | ||||
\(635\) | 1.37418 | + | 0.793381i | 0.0545325 | + | 0.0314844i | ||||
\(636\) | −1.61733 | + | 16.0758i | −0.0641315 | + | 0.637445i | ||||
\(637\) | −7.25980 | + | 1.07434i | −0.287644 | + | 0.0425670i | ||||
\(638\) | −36.5651 | − | 40.4284i | −1.44763 | − | 1.60057i | ||||
\(639\) | −0.939926 | − | 0.542667i | −0.0371829 | − | 0.0214676i | ||||
\(640\) | −18.7577 | + | 26.6820i | −0.741464 | + | 1.05470i | ||||
\(641\) | 18.4447 | + | 31.9472i | 0.728523 | + | 1.26184i | 0.957507 | + | 0.288409i | \(0.0931263\pi\) |
−0.228984 | + | 0.973430i | \(0.573540\pi\) | |||||||
\(642\) | 8.39195 | − | 1.80329i | 0.331204 | − | 0.0711702i | ||||
\(643\) | 10.0475i | 0.396235i | 0.980178 | + | 0.198117i | \(0.0634827\pi\) | ||||
−0.980178 | + | 0.198117i | \(0.936517\pi\) | |||||||
\(644\) | −11.3568 | − | 0.304552i | −0.447522 | − | 0.0120010i | ||||
\(645\) | − | 3.87222i | − | 0.152469i | ||||||
\(646\) | −1.38137 | − | 6.42848i | −0.0543494 | − | 0.252925i | ||||
\(647\) | 19.5824 | + | 33.9177i | 0.769862 | + | 1.33344i | 0.937637 | + | 0.347615i | \(0.113008\pi\) |
−0.167775 | + | 0.985825i | \(0.553658\pi\) | |||||||
\(648\) | 1.13315 | − | 2.59152i | 0.0445144 | − | 0.101804i | ||||
\(649\) | 39.7169 | + | 22.9306i | 1.55903 | + | 0.900104i | ||||
\(650\) | 3.64065 | − | 3.29276i | 0.142798 | − | 0.129153i | ||||
\(651\) | −9.12658 | − | 4.41021i | −0.357699 | − | 0.172850i | ||||
\(652\) | 0.195484 | − | 1.94304i | 0.00765573 | − | 0.0760954i | ||||
\(653\) | 35.9422 | + | 20.7512i | 1.40653 | + | 0.812058i | 0.995051 | − | 0.0993632i | \(-0.0316806\pi\) |
0.411475 | + | 0.911421i | \(0.365014\pi\) | |||||||
\(654\) | 19.6033 | + | 6.32131i | 0.766550 | + | 0.247183i | ||||
\(655\) | 7.00008 | − | 4.04150i | 0.273516 | − | 0.157914i | ||||
\(656\) | −3.59310 | − | 3.17780i | −0.140287 | − | 0.124072i | ||||
\(657\) | − | 5.64507i | − | 0.220235i | ||||||
\(658\) | −40.1876 | − | 9.76963i | −1.56667 | − | 0.380860i | ||||
\(659\) | −35.4347 | −1.38034 | −0.690170 | − | 0.723647i | \(-0.742464\pi\) | ||||
−0.690170 | + | 0.723647i | \(0.742464\pi\) | |||||||
\(660\) | −19.6258 | + | 27.2670i | −0.763934 | + | 1.06137i | ||||
\(661\) | 11.8165 | + | 20.4668i | 0.459610 | + | 0.796067i | 0.998940 | − | 0.0460268i | \(-0.0146560\pi\) |
−0.539330 | + | 0.842094i | \(0.681323\pi\) | |||||||
\(662\) | −26.5405 | − | 8.55830i | −1.03153 | − | 0.332628i | ||||
\(663\) | −3.57769 | + | 6.19674i | −0.138946 | + | 0.240662i | ||||
\(664\) | −1.09766 | + | 0.808744i | −0.0425974 | + | 0.0313854i | ||||
\(665\) | 4.29700 | − | 2.92121i | 0.166630 | − | 0.113280i | ||||
\(666\) | −2.25851 | − | 2.49714i | −0.0875156 | − | 0.0967620i | ||||
\(667\) | 7.10140 | − | 12.3000i | 0.274967 | − | 0.476257i | ||||
\(668\) | −3.79764 | + | 1.71111i | −0.146935 | + | 0.0662049i | ||||
\(669\) | 2.70379 | − | 1.56104i | 0.104535 | − | 0.0603531i | ||||
\(670\) | −11.4025 | − | 53.0636i | −0.440516 | − | 2.05002i | ||||
\(671\) | −19.0503 | −0.735428 | ||||||||
\(672\) | 14.9131 | − | 1.26444i | 0.575286 | − | 0.0487768i | ||||
\(673\) | 8.69720 | 0.335253 | 0.167626 | − | 0.985851i | \(-0.446390\pi\) | ||||
0.167626 | + | 0.985851i | \(0.446390\pi\) | |||||||
\(674\) | 7.35999 | + | 34.2511i | 0.283496 | + | 1.31930i | ||||
\(675\) | 2.86723 | − | 1.65540i | 0.110360 | − | 0.0637163i | ||||
\(676\) | 21.7006 | − | 9.77768i | 0.834639 | − | 0.376065i | ||||
\(677\) | −5.45947 | + | 9.45608i | −0.209825 | + | 0.363427i | −0.951659 | − | 0.307156i | \(-0.900623\pi\) |
0.741835 | + | 0.670583i | \(0.233956\pi\) | |||||||
\(678\) | −3.63207 | − | 4.01581i | −0.139489 | − | 0.154226i | ||||
\(679\) | −0.705909 | − | 9.59223i | −0.0270903 | − | 0.368116i | ||||
\(680\) | 44.8028 | − | 33.0103i | 1.71811 | − | 1.26589i | ||||
\(681\) | −2.61337 | + | 4.52649i | −0.100145 | + | 0.173456i | ||||
\(682\) | 30.0465 | + | 9.68885i | 1.15054 | + | 0.371005i | ||||
\(683\) | −18.2758 | − | 31.6547i | −0.699305 | − | 1.21123i | −0.968708 | − | 0.248204i | \(-0.920160\pi\) |
0.269402 | − | 0.963028i | \(-0.413174\pi\) | |||||||
\(684\) | 0.795919 | − | 1.10580i | 0.0304327 | − | 0.0422815i | ||||
\(685\) | 36.7936 | 1.40581 | ||||||||
\(686\) | −10.9671 | − | 23.7849i | −0.418727 | − | 0.908112i | ||||
\(687\) | − | 28.4258i | − | 1.08451i | ||||||
\(688\) | 3.55941 | − | 4.02459i | 0.135701 | − | 0.153436i | ||||
\(689\) | 7.33482 | − | 4.23476i | 0.279434 | − | 0.161332i | ||||
\(690\) | −8.33086 | − | 2.68638i | −0.317150 | − | 0.102269i | ||||
\(691\) | −4.59821 | − | 2.65478i | −0.174924 | − | 0.100993i | 0.409981 | − | 0.912094i | \(-0.365535\pi\) |
−0.584906 | + | 0.811101i | \(0.698869\pi\) | |||||||
\(692\) | −4.27360 | + | 42.4782i | −0.162458 | + | 1.61478i | ||||
\(693\) | 15.3747 | − | 1.13145i | 0.584036 | − | 0.0429803i | ||||
\(694\) | 15.7206 | − | 14.2183i | 0.596744 | − | 0.539720i | ||||
\(695\) | −15.2733 | − | 8.81806i | −0.579350 | − | 0.334488i | ||||
\(696\) | −7.49597 | + | 17.1433i | −0.284134 | + | 0.649814i | ||||
\(697\) | 4.09222 | + | 7.08793i | 0.155004 | + | 0.268475i | ||||
\(698\) | 8.15700 | + | 37.9602i | 0.308747 | + | 1.43681i | ||||
\(699\) | − | 6.11941i | − | 0.231457i | ||||||
\(700\) | 14.9317 | + | 9.16311i | 0.564365 | + | 0.346333i | ||||
\(701\) | − | 6.16681i | − | 0.232917i | −0.993196 | − | 0.116459i | \(-0.962846\pi\) | ||
0.993196 | − | 0.116459i | \(-0.0371542\pi\) | |||||||
\(702\) | −1.44958 | + | 0.311491i | −0.0547110 | + | 0.0117565i | ||||
\(703\) | −0.810940 | − | 1.40459i | −0.0305852 | − | 0.0529751i | ||||
\(704\) | −45.4623 | + | 10.2995i | −1.71343 | + | 0.388178i | ||||
\(705\) | −27.5961 | − | 15.9326i | −1.03933 | − | 0.600057i | ||||
\(706\) | −22.7712 | − | 25.1771i | −0.857006 | − | 0.947553i | ||||
\(707\) | 3.72564 | + | 5.48028i | 0.140117 | + | 0.206107i | ||||
\(708\) | 1.57575 | − | 15.6624i | 0.0592202 | − | 0.588629i | ||||
\(709\) | −1.73062 | − | 0.999172i | −0.0649947 | − | 0.0375247i | 0.467151 | − | 0.884178i | \(-0.345281\pi\) |
−0.532145 | + | 0.846653i | \(0.678614\pi\) | |||||||
\(710\) | 1.35799 | − | 4.21132i | 0.0509644 | − | 0.158048i | ||||
\(711\) | 10.9630 | − | 6.32946i | 0.411143 | − | 0.237373i | ||||
\(712\) | 3.89595 | + | 34.8294i | 0.146007 | + | 1.30529i | ||||
\(713\) | 8.22554i | 0.308049i | ||||||||
\(714\) | −24.8141 | − | 6.03232i | −0.928644 | − | 0.225754i | ||||
\(715\) | 17.6109 | 0.658611 | ||||||||
\(716\) | −11.2812 | − | 8.11979i | −0.421597 | − | 0.303451i | ||||
\(717\) | 4.41764 | + | 7.65158i | 0.164980 | + | 0.285753i | ||||
\(718\) | 5.92626 | − | 18.3782i | 0.221166 | − | 0.685868i | ||||
\(719\) | −6.72446 | + | 11.6471i | −0.250780 | + | 0.434364i | −0.963741 | − | 0.266840i | \(-0.914020\pi\) |
0.712961 | + | 0.701204i | \(0.247354\pi\) | |||||||
\(720\) | 11.3003 | + | 2.29703i | 0.421137 | + | 0.0856051i | ||||
\(721\) | −5.32569 | + | 11.0211i | −0.198339 | + | 0.410447i | ||||
\(722\) | −19.4415 | + | 17.5837i | −0.723539 | + | 0.654399i | ||||
\(723\) | −2.97772 | + | 5.15757i | −0.110743 | + | 0.191812i | ||||
\(724\) | −13.9972 | + | 6.30672i | −0.520201 | + | 0.234388i | ||||
\(725\) | −18.9672 | + | 10.9507i | −0.704423 | + | 0.406699i | ||||
\(726\) | −31.7341 | + | 6.81913i | −1.17776 | + | 0.253082i | ||||
\(727\) | 19.6532 | 0.728897 | 0.364448 | − | 0.931224i | \(-0.381258\pi\) | ||||
0.364448 | + | 0.931224i | \(0.381258\pi\) | |||||||
\(728\) | −5.10480 | − | 5.95769i | −0.189196 | − | 0.220807i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 22.5011 | − | 4.83511i | 0.832803 | − | 0.178955i | ||||
\(731\) | −7.93911 | + | 4.58365i | −0.293639 | + | 0.169532i | ||||
\(732\) | 2.68614 | + | 5.96164i | 0.0992828 | + | 0.220349i | ||||
\(733\) | 12.6139 | − | 21.8480i | 0.465907 | − | 0.806974i | −0.533335 | − | 0.845904i | \(-0.679062\pi\) |
0.999242 | + | 0.0389298i | \(0.0123949\pi\) | |||||||
\(734\) | −36.3793 | + | 32.9030i | −1.34279 | + | 1.21447i | ||||
\(735\) | −2.95415 | − | 19.9625i | −0.108966 | − | 0.736328i | ||||
\(736\) | −6.18931 | − | 10.4500i | −0.228141 | − | 0.385190i | ||||
\(737\) | 38.7849 | − | 67.1774i | 1.42866 | − | 2.47451i | ||||
\(738\) | −0.520474 | + | 1.61406i | −0.0191589 | + | 0.0594145i | ||||
\(739\) | −3.35478 | − | 5.81064i | −0.123407 | − | 0.213748i | 0.797702 | − | 0.603052i | \(-0.206049\pi\) |
−0.921109 | + | 0.389304i | \(0.872716\pi\) | |||||||
\(740\) | 8.01905 | − | 11.1412i | 0.294786 | − | 0.409559i | ||||
\(741\) | −0.714206 | −0.0262370 | ||||||||
\(742\) | 21.8662 | + | 20.8693i | 0.802735 | + | 0.766135i | ||||
\(743\) | − | 26.0661i | − | 0.956273i | −0.878286 | − | 0.478137i | \(-0.841312\pi\) | ||
0.878286 | − | 0.478137i | \(-0.158688\pi\) | |||||||
\(744\) | −1.20460 | − | 10.7690i | −0.0441627 | − | 0.394810i | ||||
\(745\) | 5.04967 | − | 2.91543i | 0.185005 | − | 0.106813i | ||||
\(746\) | −2.63986 | + | 8.18660i | −0.0966522 | + | 0.299733i | ||||
\(747\) | 0.417461 | + | 0.241021i | 0.0152741 | + | 0.00881850i | ||||
\(748\) | 79.1363 | + | 7.96167i | 2.89351 | + | 0.291107i | ||||
\(749\) | 6.98682 | − | 14.4587i | 0.255293 | − | 0.528308i | ||||
\(750\) | −4.61956 | − | 5.10764i | −0.168682 | − | 0.186505i | ||||
\(751\) | −4.94762 | − | 2.85651i | −0.180541 | − | 0.104236i | 0.407006 | − | 0.913426i | \(-0.366573\pi\) |
−0.587547 | + | 0.809190i | \(0.699906\pi\) | |||||||
\(752\) | −14.0365 | − | 41.9264i | −0.511857 | − | 1.52890i | ||||
\(753\) | 1.06977 | + | 1.85290i | 0.0389847 | + | 0.0675235i | ||||
\(754\) | 9.58922 | − | 2.06056i | 0.349219 | − | 0.0750412i | ||||
\(755\) | − | 40.5561i | − | 1.47599i | ||||||
\(756\) | −2.52196 | − | 4.65185i | −0.0917226 | − | 0.169186i | ||||
\(757\) | − | 4.75364i | − | 0.172774i | −0.996262 | − | 0.0863869i | \(-0.972468\pi\) | ||
0.996262 | − | 0.0863869i | \(-0.0275321\pi\) | |||||||
\(758\) | −5.66371 | − | 26.3572i | −0.205715 | − | 0.957336i | ||||
\(759\) | −6.25511 | − | 10.8342i | −0.227046 | − | 0.393255i | ||||
\(760\) | 5.08942 | + | 2.22537i | 0.184613 | + | 0.0807227i | ||||
\(761\) | −23.6671 | − | 13.6642i | −0.857931 | − | 0.495327i | 0.00538774 | − | 0.999985i | \(-0.498285\pi\) |
−0.863319 | + | 0.504659i | \(0.831618\pi\) | |||||||
\(762\) | 0.577307 | − | 0.522140i | 0.0209136 | − | 0.0189151i | ||||
\(763\) | 31.8674 | − | 21.6643i | 1.15368 | − | 0.784300i | ||||
\(764\) | −35.4409 | − | 3.56560i | −1.28221 | − | 0.128999i | ||||
\(765\) | −17.0394 | − | 9.83770i | −0.616061 | − | 0.355683i | ||||
\(766\) | −11.1043 | − | 3.58070i | −0.401213 | − | 0.129376i | ||||
\(767\) | −7.14622 | + | 4.12587i | −0.258035 | + | 0.148977i | ||||
\(768\) | 9.63348 | + | 12.7748i | 0.347618 | + | 0.460972i | ||||
\(769\) | − | 22.7151i | − | 0.819127i | −0.912282 | − | 0.409564i | \(-0.865681\pi\) | ||
0.912282 | − | 0.409564i | \(-0.134319\pi\) | |||||||
\(770\) | 17.6786 | + | 60.3140i | 0.637094 | + | 2.17356i | ||||
\(771\) | 19.2869 | 0.694602 | ||||||||
\(772\) | −22.3943 | − | 16.1186i | −0.805987 | − | 0.580121i | ||||
\(773\) | 9.05937 | + | 15.6913i | 0.325843 | + | 0.564376i | 0.981683 | − | 0.190524i | \(-0.0610187\pi\) |
−0.655840 | + | 0.754900i | \(0.727685\pi\) | |||||||
\(774\) | −1.80789 | − | 0.582976i | −0.0649834 | − | 0.0209546i | ||||
\(775\) | 6.34209 | − | 10.9848i | 0.227814 | − | 0.394586i | ||||
\(776\) | 8.27799 | − | 6.09915i | 0.297162 | − | 0.218947i | ||||
\(777\) | −6.28206 | + | 0.462308i | −0.225368 | + | 0.0165852i | ||||
\(778\) | 18.6134 | + | 20.5800i | 0.667324 | + | 0.737830i | ||||
\(779\) | −0.408460 | + | 0.707474i | −0.0146346 | + | 0.0253479i | ||||
\(780\) | −2.48319 | − | 5.51120i | −0.0889125 | − | 0.197333i | ||||
\(781\) | 5.47676 | − | 3.16201i | 0.195974 | − | 0.113146i | ||||
\(782\) | 4.35364 | + | 20.2605i | 0.155686 | + | 0.724513i | ||||
\(783\) | 6.61515 | 0.236406 | ||||||||
\(784\) | 15.2795 | − | 23.4635i | 0.545696 | − | 0.837983i | ||||
\(785\) | 15.0910 | 0.538622 | ||||||||
\(786\) | −0.833041 | − | 3.87672i | −0.0297136 | − | 0.138278i | ||||
\(787\) | 4.25358 | − | 2.45581i | 0.151624 | − | 0.0875400i | −0.422269 | − | 0.906471i | \(-0.638766\pi\) |
0.573892 | + | 0.818931i | \(0.305433\pi\) | |||||||
\(788\) | 0.929882 | + | 2.06378i | 0.0331257 | + | 0.0735192i | ||||
\(789\) | 12.1671 | − | 21.0740i | 0.433159 | − | 0.750254i | ||||
\(790\) | 34.6190 | + | 38.2767i | 1.23169 | + | 1.36182i | ||||
\(791\) | −10.1026 | + | 0.743469i | −0.359207 | + | 0.0264347i | ||||
\(792\) | 9.77589 | + | 13.2682i | 0.347371 | + | 0.471465i | ||||
\(793\) | 1.71385 | − | 2.96847i | 0.0608604 | − | 0.105413i | ||||
\(794\) | 42.2137 | + | 13.6123i | 1.49811 | + | 0.483082i | ||||
\(795\) | 11.6445 | + | 20.1688i | 0.412987 | + | 0.715314i | ||||
\(796\) | −13.8493 | − | 9.96827i | −0.490877 | − | 0.353316i | ||||
\(797\) | −23.8384 | −0.844398 | −0.422199 | − | 0.906503i | \(-0.638742\pi\) | ||||
−0.422199 | + | 0.906503i | \(0.638742\pi\) | |||||||
\(798\) | −0.716952 | − | 2.44602i | −0.0253798 | − | 0.0865881i | ||||
\(799\) | 75.4394i | 2.66885i | ||||||||
\(800\) | 0.208358 | + | 18.7275i | 0.00736658 | + | 0.662118i | ||||
\(801\) | 10.7308 | − | 6.19543i | 0.379154 | − | 0.218905i | ||||
\(802\) | 46.9909 | + | 15.1528i | 1.65931 | + | 0.535063i | ||||
\(803\) | 28.4859 | + | 16.4464i | 1.00525 | + | 0.580379i | ||||
\(804\) | −26.4914 | − | 2.66522i | −0.934281 | − | 0.0939952i | ||||
\(805\) | −13.5427 | + | 9.20672i | −0.477319 | + | 0.324494i | ||||
\(806\) | −4.21286 | + | 3.81028i | −0.148392 | + | 0.134211i | ||||
\(807\) | 18.1007 | + | 10.4505i | 0.637176 | + | 0.367874i | ||||
\(808\) | −2.83818 | + | 6.49091i | −0.0998467 | + | 0.228350i | ||||
\(809\) | 0.597915 | + | 1.03562i | 0.0210216 | + | 0.0364104i | 0.876345 | − | 0.481684i | \(-0.159975\pi\) |
−0.855323 | + | 0.518095i | \(0.826641\pi\) | |||||||
\(810\) | −0.856518 | − | 3.98597i | −0.0300950 | − | 0.140053i | ||||
\(811\) | − | 6.44559i | − | 0.226335i | −0.993576 | − | 0.113168i | \(-0.963900\pi\) | ||
0.993576 | − | 0.113168i | \(-0.0360997\pi\) | |||||||
\(812\) | 16.6831 | + | 30.7727i | 0.585462 | + | 1.07991i | ||||
\(813\) | 19.9939i | 0.701218i | ||||||||
\(814\) | 19.1809 | − | 4.12165i | 0.672290 | − | 0.144464i | ||||
\(815\) | −1.40744 | − | 2.43776i | −0.0493005 | − | 0.0853910i | ||||
\(816\) | −8.66691 | − | 25.8877i | −0.303402 | − | 0.906251i | ||||
\(817\) | −0.792433 | − | 0.457511i | −0.0277237 | − | 0.0160063i | ||||
\(818\) | −12.9455 | − | 14.3132i | −0.452628 | − | 0.500450i | ||||
\(819\) | −1.20687 | + | 2.49752i | −0.0421714 | + | 0.0872703i | ||||
\(820\) | −6.87941 | − | 0.692117i | −0.240239 | − | 0.0241698i | ||||
\(821\) | 1.87701 | + | 1.08369i | 0.0655079 | + | 0.0378210i | 0.532396 | − | 0.846495i | \(-0.321292\pi\) |
−0.466888 | + | 0.884316i | \(0.654625\pi\) | |||||||
\(822\) | 5.53941 | − | 17.1785i | 0.193209 | − | 0.599169i | ||||
\(823\) | −5.19529 | + | 2.99950i | −0.181096 | + | 0.104556i | −0.587808 | − | 0.809001i | \(-0.700009\pi\) |
0.406711 | + | 0.913557i | \(0.366675\pi\) | |||||||
\(824\) | −13.0044 | + | 1.45465i | −0.453031 | + | 0.0506752i | ||||
\(825\) | 19.2913i | 0.671638i | ||||||||
\(826\) | −21.3040 | − | 20.3327i | −0.741261 | − | 0.707464i | ||||
\(827\) | 21.0143 | 0.730738 | 0.365369 | − | 0.930863i | \(-0.380943\pi\) | ||||
0.365369 | + | 0.930863i | \(0.380943\pi\) | |||||||
\(828\) | −2.50848 | + | 3.48514i | −0.0871757 | + | 0.121117i | ||||
\(829\) | −6.59891 | − | 11.4296i | −0.229190 | − | 0.396968i | 0.728379 | − | 0.685175i | \(-0.240274\pi\) |
−0.957568 | + | 0.288207i | \(0.906941\pi\) | |||||||
\(830\) | −0.603140 | + | 1.87043i | −0.0209353 | + | 0.0649234i | ||||
\(831\) | −7.64600 | + | 13.2433i | −0.265237 | + | 0.459404i | ||||
\(832\) | 2.48509 | − | 8.01066i | 0.0861549 | − | 0.277720i | ||||
\(833\) | −37.4317 | + | 29.6870i | −1.29693 | + | 1.02859i | ||||
\(834\) | −6.41650 | + | 5.80335i | −0.222185 | + | 0.200953i | ||||
\(835\) | −3.00200 | + | 5.19962i | −0.103889 | + | 0.179940i | ||||
\(836\) | 3.26123 | + | 7.23799i | 0.112792 | + | 0.250331i | ||||
\(837\) | −3.31788 | + | 1.91558i | −0.114683 | + | 0.0662121i | ||||
\(838\) | −5.83924 | + | 1.25475i | −0.201713 | + | 0.0433448i | ||||
\(839\) | 33.8661 | 1.16919 | 0.584594 | − | 0.811326i | \(-0.301254\pi\) | ||||
0.584594 | + | 0.811326i | \(0.301254\pi\) | |||||||
\(840\) | 16.3821 | − | 14.0368i | 0.565234 | − | 0.484317i | ||||
\(841\) | −14.7602 | −0.508973 | ||||||||
\(842\) | −16.1621 | + | 3.47297i | −0.556983 | + | 0.119686i | ||||
\(843\) | −4.84803 | + | 2.79901i | −0.166975 | + | 0.0964031i | ||||
\(844\) | −38.7368 | + | 17.4537i | −1.33338 | + | 0.600781i | ||||
\(845\) | 17.1541 | − | 29.7118i | 0.590120 | − | 1.02212i | ||||
\(846\) | −11.5934 | + | 10.4856i | −0.398591 | + | 0.360502i | ||||
\(847\) | −26.4206 | + | 54.6753i | −0.907822 | + | 1.87867i | ||||
\(848\) | −6.43684 | + | 31.6662i | −0.221042 | + | 1.08742i | ||||
\(849\) | −5.61710 | + | 9.72911i | −0.192778 | + | 0.333902i | ||||
\(850\) | 9.80723 | − | 30.4137i | 0.336385 | − | 1.04318i | ||||
\(851\) | 2.55582 | + | 4.42681i | 0.0876124 | + | 0.151749i | ||||
\(852\) | −1.76177 | − | 1.26806i | −0.0603571 | − | 0.0434430i | ||||
\(853\) | −50.0832 | −1.71482 | −0.857408 | − | 0.514638i | \(-0.827926\pi\) | ||||
−0.857408 | + | 0.514638i | \(0.827926\pi\) | |||||||
\(854\) | 11.8869 | + | 2.88970i | 0.406760 | + | 0.0988836i | ||||
\(855\) | − | 1.96388i | − | 0.0671632i | ||||||
\(856\) | 17.0606 | − | 1.90837i | 0.583120 | − | 0.0652267i | ||||
\(857\) | 42.6628 | − | 24.6314i | 1.45734 | − | 0.841393i | 0.458455 | − | 0.888717i | \(-0.348403\pi\) |
0.998880 | + | 0.0473246i | \(0.0150695\pi\) | |||||||
\(858\) | 2.65139 | − | 8.22233i | 0.0905168 | − | 0.280706i | ||||
\(859\) | −3.38667 | − | 1.95530i | −0.115552 | − | 0.0667139i | 0.441110 | − | 0.897453i | \(-0.354585\pi\) |
−0.556662 | + | 0.830739i | \(0.687918\pi\) | |||||||
\(860\) | 0.775232 | − | 7.70554i | 0.0264352 | − | 0.262757i | ||||
\(861\) | 1.78376 | + | 2.62384i | 0.0607903 | + | 0.0894203i | ||||
\(862\) | 32.5399 | + | 35.9779i | 1.10831 | + | 1.22541i | ||||
\(863\) | −37.4230 | − | 21.6062i | −1.27390 | − | 0.735484i | −0.298176 | − | 0.954511i | \(-0.596378\pi\) |
−0.975719 | + | 0.219027i | \(0.929712\pi\) | |||||||
\(864\) | 2.77375 | − | 4.93014i | 0.0943649 | − | 0.167727i | ||||
\(865\) | 30.7690 | + | 53.2935i | 1.04618 | + | 1.81203i | ||||
\(866\) | 19.6177 | − | 4.21551i | 0.666636 | − | 0.143249i | ||||
\(867\) | 29.5806i | 1.00461i | ||||||||
\(868\) | −17.2785 | − | 10.6033i | −0.586472 | − | 0.359899i | ||||
\(869\) | 73.7611i | 2.50217i | ||||||||
\(870\) | 5.66600 | + | 26.3678i | 0.192095 | + | 0.893952i | ||||
\(871\) | 6.97851 | + | 12.0871i | 0.236458 | + | 0.409557i | ||||
\(872\) | 37.7441 | + | 16.5038i | 1.27818 | + | 0.558888i | ||||
\(873\) | −3.14828 | − | 1.81766i | −0.106553 | − | 0.0615185i | ||||
\(874\) | −1.53407 | + | 1.38747i | −0.0518905 | + | 0.0469319i | ||||
\(875\) | −12.8493 | + | 0.945604i | −0.434386 | + | 0.0319673i | ||||
\(876\) | 1.13016 | − | 11.2334i | 0.0381846 | − | 0.379543i | ||||
\(877\) | 18.3069 | + | 10.5695i | 0.618182 | + | 0.356907i | 0.776161 | − | 0.630535i | \(-0.217165\pi\) |
−0.157979 | + | 0.987442i | \(0.550498\pi\) | |||||||
\(878\) | −37.7549 | − | 12.1745i | −1.27416 | − | 0.410869i | ||||
\(879\) | −15.3470 | + | 8.86060i | −0.517642 | + | 0.298860i | ||||
\(880\) | −44.5134 | + | 50.3309i | −1.50055 | + | 1.69665i | ||||
\(881\) | − | 49.1167i | − | 1.65478i | −0.561625 | − | 0.827392i | \(-0.689823\pi\) | ||
0.561625 | − | 0.827392i | \(-0.310177\pi\) | |||||||
\(882\) | −9.76502 | − | 1.62617i | −0.328805 | − | 0.0547558i | ||||
\(883\) | 37.8457 | 1.27361 | 0.636804 | − | 0.771025i | \(-0.280256\pi\) | ||||
0.636804 | + | 0.771025i | \(0.280256\pi\) | |||||||
\(884\) | −8.36005 | + | 11.6150i | −0.281179 | + | 0.390654i | ||||
\(885\) | −11.3450 | − | 19.6502i | −0.381360 | − | 0.660534i | ||||
\(886\) | 14.8336 | + | 4.78328i | 0.498346 | + | 0.160697i | ||||
\(887\) | −8.97039 | + | 15.5372i | −0.301196 | + | 0.521687i | −0.976407 | − | 0.215937i | \(-0.930719\pi\) |
0.675211 | + | 0.737625i | \(0.264053\pi\) | |||||||
\(888\) | −3.99440 | − | 5.42135i | −0.134043 | − | 0.181929i | ||||
\(889\) | −0.106880 | − | 1.45233i | −0.00358464 | − | 0.0487097i | ||||
\(890\) | 33.8859 | + | 37.4662i | 1.13586 | + | 1.25587i | ||||
\(891\) | 2.91340 | − | 5.04616i | 0.0976026 | − | 0.169053i | ||||
\(892\) | 5.69295 | − | 2.56508i | 0.190614 | − | 0.0858853i | ||||
\(893\) | −6.52108 | + | 3.76495i | −0.218220 | + | 0.125989i | ||||
\(894\) | −0.600933 | − | 2.79656i | −0.0200982 | − | 0.0935309i | ||||
\(895\) | −20.0350 | −0.669697 | ||||||||
\(896\) | 29.9296 | + | 0.469481i | 0.999877 | + | 0.0156843i | ||||
\(897\) | 2.25095 | 0.0751569 | ||||||||
\(898\) | −8.98070 | − | 41.7934i | −0.299690 | − | 1.39466i | ||||
\(899\) | 21.9483 | − | 12.6718i | 0.732016 | − | 0.422629i | ||||
\(900\) | 6.03708 | − | 2.72014i | 0.201236 | − | 0.0906712i | ||||
\(901\) | 27.5677 | − | 47.7487i | 0.918413 | − | 1.59074i | ||||
\(902\) | −6.62848 | − | 7.32881i | −0.220704 | − | 0.244023i | ||||
\(903\) | −2.93893 | + | 1.99797i | −0.0978016 | + | 0.0664881i | ||||
\(904\) | −6.42367 | − | 8.71844i | −0.213648 | − | 0.289971i | ||||
\(905\) | −11.0646 | + | 19.1645i | −0.367801 | + | 0.637049i | ||||
\(906\) | −18.9352 | − | 6.10586i | −0.629078 | − | 0.202854i | ||||
\(907\) | −11.0887 | − | 19.2062i | −0.368194 | − | 0.637730i | 0.621089 | − | 0.783740i | \(-0.286690\pi\) |
−0.989283 | + | 0.146009i | \(0.953357\pi\) | |||||||
\(908\) | −6.10671 | + | 8.48431i | −0.202658 | + | 0.281562i | ||||
\(909\) | 2.50468 | 0.0830748 | ||||||||
\(910\) | −10.9887 | − | 2.67137i | −0.364273 | − | 0.0885551i | ||||
\(911\) | − | 35.2495i | − | 1.16787i | −0.811801 | − | 0.583934i | \(-0.801513\pi\) | ||
0.811801 | − | 0.583934i | \(-0.198487\pi\) | |||||||
\(912\) | 1.80523 | − | 2.04115i | 0.0597771 | − | 0.0675894i | ||||
\(913\) | −2.43246 | + | 1.40438i | −0.0805027 | + | 0.0464783i | ||||
\(914\) | 34.2915 | + | 11.0577i | 1.13426 | + | 0.365756i | ||||
\(915\) | 8.16250 | + | 4.71262i | 0.269844 | + | 0.155794i | ||||
\(916\) | 5.69094 | − | 56.5661i | 0.188034 | − | 1.86900i | ||||
\(917\) | −6.67927 | − | 3.22760i | −0.220569 | − | 0.106585i | ||||
\(918\) | −7.15845 | + | 6.47439i | −0.236264 | + | 0.213687i | ||||
\(919\) | 15.1837 | + | 8.76632i | 0.500864 | + | 0.289174i | 0.729070 | − | 0.684439i | \(-0.239953\pi\) |
−0.228206 | + | 0.973613i | \(0.573286\pi\) | |||||||
\(920\) | −16.0402 | − | 7.01364i | −0.528830 | − | 0.231233i | ||||
\(921\) | −10.1862 | − | 17.6430i | −0.335647 | − | 0.581357i | ||||
\(922\) | −8.29800 | − | 38.6163i | −0.273280 | − | 1.27176i | ||||
\(923\) | 1.13787i | 0.0374535i | ||||||||
\(924\) | 30.8215 | + | 0.826528i | 1.01395 | + | 0.0271908i | ||||
\(925\) | − | 7.88239i | − | 0.259171i | ||||||
\(926\) | 26.8556 | − | 5.77081i | 0.882529 | − | 0.189641i | ||||
\(927\) | 2.31322 | + | 4.00661i | 0.0759761 | + | 0.131594i | ||||
\(928\) | −18.3488 | + | 32.6136i | −0.602328 | + | 1.07059i | ||||
\(929\) | −44.9106 | − | 25.9292i | −1.47347 | − | 0.850708i | −0.473916 | − | 0.880570i | \(-0.657160\pi\) |
−0.999554 | + | 0.0298619i | \(0.990493\pi\) | |||||||
\(930\) | −10.4773 | − | 11.5842i | −0.343563 | − | 0.379862i | ||||
\(931\) | −4.43428 | − | 1.75406i | −0.145328 | − | 0.0574870i | ||||
\(932\) | 1.22513 | − | 12.1774i | 0.0401304 | − | 0.398882i | ||||
\(933\) | 25.0045 | + | 14.4363i | 0.818610 | + | 0.472625i | ||||
\(934\) | −0.655324 | + | 2.03225i | −0.0214428 | + | 0.0664974i | ||||
\(935\) | 99.2852 | − | 57.3223i | 3.24697 | − | 1.87464i | ||||
\(936\) | −2.94697 | + | 0.329642i | −0.0963247 | + | 0.0107747i | ||||
\(937\) | 36.9665i | 1.20764i | 0.797120 | + | 0.603821i | \(0.206356\pi\) | ||||
−0.797120 | + | 0.603821i | \(0.793644\pi\) | |||||||
\(938\) | −34.3907 | + | 36.0337i | −1.12290 | + | 1.17654i | ||||
\(939\) | 4.71947 | 0.154014 | ||||||||
\(940\) | −51.7252 | − | 37.2300i | −1.68709 | − | 1.21431i | ||||
\(941\) | 26.2751 | + | 45.5098i | 0.856544 | + | 1.48358i | 0.875206 | + | 0.483751i | \(0.160726\pi\) |
−0.0186621 | + | 0.999826i | \(0.505941\pi\) | |||||||
\(942\) | 2.27201 | − | 7.04582i | 0.0740260 | − | 0.229565i | ||||
\(943\) | 1.28733 | − | 2.22973i | 0.0419214 | − | 0.0726099i | ||||
\(944\) | 6.27133 | − | 30.8520i | 0.204114 | − | 1.00415i | ||||
\(945\) | −6.86751 | − | 3.31857i | −0.223400 | − | 0.107953i | ||||
\(946\) | 8.20891 | − | 7.42448i | 0.266895 | − | 0.241391i | ||||
\(947\) | −13.4671 | + | 23.3256i | −0.437621 | + | 0.757982i | −0.997505 | − | 0.0705889i | \(-0.977512\pi\) |
0.559885 | + | 0.828571i | \(0.310845\pi\) | |||||||
\(948\) | 23.0830 | − | 10.4005i | 0.749700 | − | 0.337793i | ||||
\(949\) | −5.12543 | + | 2.95917i | −0.166379 | + | 0.0960588i | ||||
\(950\) | 3.11844 | − | 0.670102i | 0.101176 | − | 0.0217410i | ||||
\(951\) | 25.4437 | 0.825067 | ||||||||
\(952\) | −48.1712 | − | 16.9719i | −1.56124 | − | 0.550063i | ||||
\(953\) | −31.5488 | −1.02196 | −0.510982 | − | 0.859591i | \(-0.670718\pi\) | ||||
−0.510982 | + | 0.859591i | \(0.670718\pi\) | |||||||
\(954\) | 11.1697 | − | 2.40018i | 0.361632 | − | 0.0777087i | ||||
\(955\) | −44.4645 | + | 25.6716i | −1.43884 | + | 0.830713i | ||||
\(956\) | 7.25903 | + | 16.1107i | 0.234774 | + | 0.521058i | ||||
\(957\) | −19.2726 | + | 33.3811i | −0.622994 | + | 1.07906i | ||||
\(958\) | 14.9364 | − | 13.5091i | 0.482572 | − | 0.436458i | ||||
\(959\) | −18.9846 | − | 27.9256i | −0.613043 | − | 0.901764i | ||||
\(960\) | 22.0272 | + | 6.83333i | 0.710924 | + | 0.220545i | ||||
\(961\) | 8.16112 | − | 14.1355i | 0.263262 | − | 0.455983i | ||||
\(962\) | −1.08335 | + | 3.35962i | −0.0349286 | + | 0.108319i | ||||
\(963\) | −3.03473 | − | 5.25631i | −0.0977928 | − | 0.169382i | ||||
\(964\) | −6.95810 | + | 9.66717i | −0.224105 | + | 0.311359i | ||||
\(965\) | −39.7716 | −1.28029 | ||||||||
\(966\) | 2.25960 | + | 7.70905i | 0.0727015 | + | 0.248035i | ||||
\(967\) | − | 60.7635i | − | 1.95402i | −0.213187 | − | 0.977011i | \(-0.568384\pi\) | ||
0.213187 | − | 0.977011i | \(-0.431616\pi\) | |||||||
\(968\) | −64.5146 | + | 7.21648i | −2.07358 | + | 0.231946i | ||||
\(969\) | −4.02648 | + | 2.32469i | −0.129349 | + | 0.0746799i | ||||
\(970\) | 4.54859 | − | 14.1058i | 0.146046 | − | 0.452911i | ||||
\(971\) | −13.9382 | − | 8.04723i | −0.447299 | − | 0.258248i | 0.259390 | − | 0.965773i | \(-0.416479\pi\) |
−0.706689 | + | 0.707525i | \(0.749812\pi\) | |||||||
\(972\) | −1.98995 | − | 0.200203i | −0.0638278 | − | 0.00642153i | ||||
\(973\) | 1.18792 | + | 16.1420i | 0.0380830 | + | 0.517489i | ||||
\(974\) | 7.01129 | + | 7.75207i | 0.224656 | + | 0.248392i | ||||
\(975\) | −3.00603 | − | 1.73553i | −0.0962700 | − | 0.0555815i | ||||
\(976\) | 4.15177 | + | 12.4012i | 0.132895 | + | 0.396952i | ||||
\(977\) | 16.3583 | + | 28.3334i | 0.523349 | + | 0.906467i | 0.999631 | + | 0.0271741i | \(0.00865086\pi\) |
−0.476282 | + | 0.879293i | \(0.658016\pi\) | |||||||
\(978\) | −1.35006 | + | 0.290104i | −0.0431700 | + | 0.00927652i | ||||
\(979\) | 72.1991i | 2.30749i | ||||||||
\(980\) | −1.88207 | − | 40.3159i | −0.0601205 | − | 1.28784i | ||||
\(981\) | − | 14.5645i | − | 0.465008i | ||||||
\(982\) | −4.17670 | − | 19.4371i | −0.133284 | − | 0.620261i | ||||
\(983\) | −18.5785 | − | 32.1789i | −0.592561 | − | 1.02635i | −0.993886 | − | 0.110410i | \(-0.964783\pi\) |
0.401325 | − | 0.915936i | \(-0.368550\pi\) | |||||||
\(984\) | −1.35886 | + | 3.10771i | −0.0433189 | + | 0.0990703i | ||||
\(985\) | 2.82567 | + | 1.63140i | 0.0900333 | + | 0.0519808i | ||||
\(986\) | 47.3542 | − | 42.8291i | 1.50806 | − | 1.36396i | ||||
\(987\) | 2.14636 | + | 29.1657i | 0.0683192 | + | 0.928354i | ||||
\(988\) | −1.42124 | − | 0.142987i | −0.0452156 | − | 0.00454901i | ||||
\(989\) | 2.49749 | + | 1.44193i | 0.0794156 | + | 0.0458506i | ||||
\(990\) | 22.6092 | + | 7.29060i | 0.718568 | + | 0.231711i | ||||
\(991\) | 38.2912 | − | 22.1074i | 1.21636 | − | 0.702266i | 0.252223 | − | 0.967669i | \(-0.418838\pi\) |
0.964137 | + | 0.265403i | \(0.0855051\pi\) | |||||||
\(992\) | −0.241107 | − | 21.6710i | −0.00765514 | − | 0.688053i | ||||
\(993\) | 19.7186i | 0.625750i | ||||||||
\(994\) | −3.89699 | + | 1.14225i | −0.123605 | + | 0.0362299i | ||||
\(995\) | −24.5960 | −0.779747 | ||||||||
\(996\) | 0.782475 | + | 0.563198i | 0.0247937 | + | 0.0178456i | ||||
\(997\) | −13.3432 | − | 23.1110i | −0.422582 | − | 0.731934i | 0.573609 | − | 0.819129i | \(-0.305543\pi\) |
−0.996191 | + | 0.0871953i | \(0.972210\pi\) | |||||||
\(998\) | 36.3302 | + | 11.7151i | 1.15001 | + | 0.370835i | ||||
\(999\) | −1.19041 | + | 2.06185i | −0.0376628 | + | 0.0652339i |
(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 | 168.2.t.a.19.9 | ✓ | 32 | |
3.2 | odd | 2 | 504.2.bk.c.19.8 | 32 | |||
4.3 | odd | 2 | 672.2.bb.a.271.10 | 32 | |||
7.2 | even | 3 | 1176.2.p.a.979.7 | 32 | |||
7.3 | odd | 6 | inner | 168.2.t.a.115.14 | yes | 32 | |
7.5 | odd | 6 | 1176.2.p.a.979.8 | 32 | |||
8.3 | odd | 2 | inner | 168.2.t.a.19.14 | yes | 32 | |
8.5 | even | 2 | 672.2.bb.a.271.15 | 32 | |||
12.11 | even | 2 | 2016.2.bs.c.271.14 | 32 | |||
21.17 | even | 6 | 504.2.bk.c.451.3 | 32 | |||
24.5 | odd | 2 | 2016.2.bs.c.271.3 | 32 | |||
24.11 | even | 2 | 504.2.bk.c.19.3 | 32 | |||
28.3 | even | 6 | 672.2.bb.a.367.15 | 32 | |||
28.19 | even | 6 | 4704.2.p.a.3919.25 | 32 | |||
28.23 | odd | 6 | 4704.2.p.a.3919.30 | 32 | |||
56.3 | even | 6 | inner | 168.2.t.a.115.9 | yes | 32 | |
56.5 | odd | 6 | 4704.2.p.a.3919.29 | 32 | |||
56.19 | even | 6 | 1176.2.p.a.979.5 | 32 | |||
56.37 | even | 6 | 4704.2.p.a.3919.26 | 32 | |||
56.45 | odd | 6 | 672.2.bb.a.367.10 | 32 | |||
56.51 | odd | 6 | 1176.2.p.a.979.6 | 32 | |||
84.59 | odd | 6 | 2016.2.bs.c.1711.3 | 32 | |||
168.59 | odd | 6 | 504.2.bk.c.451.8 | 32 | |||
168.101 | even | 6 | 2016.2.bs.c.1711.14 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.t.a.19.9 | ✓ | 32 | 1.1 | even | 1 | trivial | |
168.2.t.a.19.14 | yes | 32 | 8.3 | odd | 2 | inner | |
168.2.t.a.115.9 | yes | 32 | 56.3 | even | 6 | inner | |
168.2.t.a.115.14 | yes | 32 | 7.3 | odd | 6 | inner | |
504.2.bk.c.19.3 | 32 | 24.11 | even | 2 | |||
504.2.bk.c.19.8 | 32 | 3.2 | odd | 2 | |||
504.2.bk.c.451.3 | 32 | 21.17 | even | 6 | |||
504.2.bk.c.451.8 | 32 | 168.59 | odd | 6 | |||
672.2.bb.a.271.10 | 32 | 4.3 | odd | 2 | |||
672.2.bb.a.271.15 | 32 | 8.5 | even | 2 | |||
672.2.bb.a.367.10 | 32 | 56.45 | odd | 6 | |||
672.2.bb.a.367.15 | 32 | 28.3 | even | 6 | |||
1176.2.p.a.979.5 | 32 | 56.19 | even | 6 | |||
1176.2.p.a.979.6 | 32 | 56.51 | odd | 6 | |||
1176.2.p.a.979.7 | 32 | 7.2 | even | 3 | |||
1176.2.p.a.979.8 | 32 | 7.5 | odd | 6 | |||
2016.2.bs.c.271.3 | 32 | 24.5 | odd | 2 | |||
2016.2.bs.c.271.14 | 32 | 12.11 | even | 2 | |||
2016.2.bs.c.1711.3 | 32 | 84.59 | odd | 6 | |||
2016.2.bs.c.1711.14 | 32 | 168.101 | even | 6 | |||
4704.2.p.a.3919.25 | 32 | 28.19 | even | 6 | |||
4704.2.p.a.3919.26 | 32 | 56.37 | even | 6 | |||
4704.2.p.a.3919.29 | 32 | 56.5 | odd | 6 | |||
4704.2.p.a.3919.30 | 32 | 28.23 | odd | 6 |