Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(136,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bt (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.9 | ||
Character | \(\chi\) | \(=\) | 273.145 |
Dual form | 273.2.bt.a.241.9 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.92842 | − | 1.92842i | 1.36360 | − | 1.36360i | 0.494319 | − | 0.869281i | \(-0.335417\pi\) |
0.869281 | − | 0.494319i | \(-0.164583\pi\) | |||||||
\(3\) | −0.866025 | − | 0.500000i | −0.500000 | − | 0.288675i | ||||
\(4\) | − | 5.43762i | − | 2.71881i | ||||||
\(5\) | −3.41458 | + | 0.914933i | −1.52704 | + | 0.409170i | −0.922054 | − | 0.387062i | \(-0.873490\pi\) |
−0.604991 | + | 0.796232i | \(0.706823\pi\) | |||||||
\(6\) | −2.63427 | + | 0.705851i | −1.07544 | + | 0.288162i | ||||
\(7\) | 2.45097 | − | 0.996354i | 0.926381 | − | 0.376587i | ||||
\(8\) | −6.62917 | − | 6.62917i | −2.34377 | − | 2.34377i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −4.82036 | + | 8.34912i | −1.52433 | + | 2.64022i | ||||
\(11\) | −0.426935 | + | 0.114397i | −0.128726 | + | 0.0344920i | −0.322607 | − | 0.946533i | \(-0.604559\pi\) |
0.193881 | + | 0.981025i | \(0.437892\pi\) | |||||||
\(12\) | −2.71881 | + | 4.70911i | −0.784852 | + | 1.35940i | ||||
\(13\) | 3.60449 | − | 0.0874303i | 0.999706 | − | 0.0242488i | ||||
\(14\) | 2.80512 | − | 6.64790i | 0.749700 | − | 1.77673i | ||||
\(15\) | 3.41458 | + | 0.914933i | 0.881640 | + | 0.236235i | ||||
\(16\) | −14.6924 | −3.67311 | ||||||||
\(17\) | 1.43104 | 0.347078 | 0.173539 | − | 0.984827i | \(-0.444480\pi\) | ||||
0.173539 | + | 0.984827i | \(0.444480\pi\) | |||||||
\(18\) | 2.63427 | + | 0.705851i | 0.620904 | + | 0.166371i | ||||
\(19\) | 0.340943 | − | 1.27242i | 0.0782176 | − | 0.291912i | −0.915726 | − | 0.401803i | \(-0.868384\pi\) |
0.993944 | + | 0.109891i | \(0.0350502\pi\) | |||||||
\(20\) | 4.97505 | + | 18.5671i | 1.11246 | + | 4.15174i | ||||
\(21\) | −2.62078 | − | 0.362619i | −0.571902 | − | 0.0791300i | ||||
\(22\) | −0.602706 | + | 1.04392i | −0.128497 | + | 0.222564i | ||||
\(23\) | − | 7.18790i | − | 1.49878i | −0.662129 | − | 0.749390i | \(-0.730347\pi\) | ||
0.662129 | − | 0.749390i | \(-0.269653\pi\) | |||||||
\(24\) | 2.42644 | + | 9.05561i | 0.495296 | + | 1.84847i | ||||
\(25\) | 6.49210 | − | 3.74822i | 1.29842 | − | 0.749643i | ||||
\(26\) | 6.78237 | − | 7.11958i | 1.33013 | − | 1.39626i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −5.41779 | − | 13.3275i | −1.02387 | − | 2.51865i | ||||
\(29\) | 3.82097 | + | 6.61812i | 0.709537 | + | 1.22895i | 0.965029 | + | 0.262143i | \(0.0844291\pi\) |
−0.255492 | + | 0.966811i | \(0.582238\pi\) | |||||||
\(30\) | 8.34912 | − | 4.82036i | 1.52433 | − | 0.880074i | ||||
\(31\) | 0.187215 | − | 0.698697i | 0.0336249 | − | 0.125490i | −0.947073 | − | 0.321017i | \(-0.895975\pi\) |
0.980698 | + | 0.195528i | \(0.0626419\pi\) | |||||||
\(32\) | −15.0748 | + | 15.0748i | −2.66488 | + | 2.66488i | ||||
\(33\) | 0.426935 | + | 0.114397i | 0.0743199 | + | 0.0199140i | ||||
\(34\) | 2.75965 | − | 2.75965i | 0.473276 | − | 0.473276i | ||||
\(35\) | −7.45744 | + | 5.64460i | −1.26054 | + | 0.954112i | ||||
\(36\) | 4.70911 | − | 2.71881i | 0.784852 | − | 0.453135i | ||||
\(37\) | 0.719109 | + | 0.719109i | 0.118221 | + | 0.118221i | 0.763742 | − | 0.645521i | \(-0.223360\pi\) |
−0.645521 | + | 0.763742i | \(0.723360\pi\) | |||||||
\(38\) | −1.79627 | − | 3.11123i | −0.291394 | − | 0.504709i | ||||
\(39\) | −3.16530 | − | 1.72653i | −0.506853 | − | 0.276466i | ||||
\(40\) | 28.7010 | + | 16.5706i | 4.53803 | + | 2.62003i | ||||
\(41\) | −0.748673 | + | 2.79409i | −0.116923 | + | 0.436363i | −0.999424 | − | 0.0339485i | \(-0.989192\pi\) |
0.882500 | + | 0.470312i | \(0.155858\pi\) | |||||||
\(42\) | −5.75326 | + | 4.35469i | −0.887747 | + | 0.671944i | ||||
\(43\) | 7.20261 | + | 4.15843i | 1.09839 | + | 0.634155i | 0.935797 | − | 0.352539i | \(-0.114682\pi\) |
0.162591 | + | 0.986694i | \(0.448015\pi\) | |||||||
\(44\) | 0.622047 | + | 2.32151i | 0.0937771 | + | 0.349981i | ||||
\(45\) | −2.49964 | − | 2.49964i | −0.372625 | − | 0.372625i | ||||
\(46\) | −13.8613 | − | 13.8613i | −2.04374 | − | 2.04374i | ||||
\(47\) | 0.242840 | + | 0.906290i | 0.0354218 | + | 0.132196i | 0.981373 | − | 0.192114i | \(-0.0615345\pi\) |
−0.945951 | + | 0.324310i | \(0.894868\pi\) | |||||||
\(48\) | 12.7240 | + | 7.34621i | 1.83655 | + | 1.06033i | ||||
\(49\) | 5.01456 | − | 4.88408i | 0.716365 | − | 0.697726i | ||||
\(50\) | 5.29136 | − | 19.7476i | 0.748312 | − | 2.79274i | ||||
\(51\) | −1.23932 | − | 0.715520i | −0.173539 | − | 0.100193i | ||||
\(52\) | −0.475412 | − | 19.5998i | −0.0659278 | − | 2.71801i | ||||
\(53\) | 2.48381 | + | 4.30208i | 0.341177 | + | 0.590936i | 0.984652 | − | 0.174531i | \(-0.0558411\pi\) |
−0.643474 | + | 0.765468i | \(0.722508\pi\) | |||||||
\(54\) | −1.92842 | − | 1.92842i | −0.262425 | − | 0.262425i | ||||
\(55\) | 1.35314 | − | 0.781234i | 0.182457 | − | 0.105342i | ||||
\(56\) | −22.8529 | − | 9.64293i | −3.05385 | − | 1.28859i | ||||
\(57\) | −0.931473 | + | 0.931473i | −0.123377 | + | 0.123377i | ||||
\(58\) | 20.1310 | + | 5.39408i | 2.64332 | + | 0.708277i | ||||
\(59\) | −2.29996 | + | 2.29996i | −0.299429 | + | 0.299429i | −0.840790 | − | 0.541361i | \(-0.817909\pi\) |
0.541361 | + | 0.840790i | \(0.317909\pi\) | |||||||
\(60\) | 4.97505 | − | 18.5671i | 0.642277 | − | 2.39701i | ||||
\(61\) | −11.2736 | + | 6.50883i | −1.44344 | + | 0.833370i | −0.998077 | − | 0.0619805i | \(-0.980258\pi\) |
−0.445362 | + | 0.895351i | \(0.646925\pi\) | |||||||
\(62\) | −0.986352 | − | 1.70841i | −0.125267 | − | 0.216969i | ||||
\(63\) | 2.08836 | + | 1.62443i | 0.263108 | + | 0.204659i | ||||
\(64\) | 28.7565i | 3.59456i | ||||||||
\(65\) | −12.2278 | + | 3.59640i | −1.51667 | + | 0.446079i | ||||
\(66\) | 1.04392 | − | 0.602706i | 0.128497 | − | 0.0741879i | ||||
\(67\) | 1.64481 | + | 6.13851i | 0.200945 | + | 0.749939i | 0.990647 | + | 0.136448i | \(0.0435686\pi\) |
−0.789702 | + | 0.613491i | \(0.789765\pi\) | |||||||
\(68\) | − | 7.78144i | − | 0.943639i | ||||||
\(69\) | −3.59395 | + | 6.22490i | −0.432661 | + | 0.749390i | ||||
\(70\) | −3.49591 | + | 25.2663i | −0.417842 | + | 3.01990i | ||||
\(71\) | 0.487730 | + | 1.82023i | 0.0578829 | + | 0.216022i | 0.988809 | − | 0.149185i | \(-0.0476649\pi\) |
−0.930926 | + | 0.365207i | \(0.880998\pi\) | |||||||
\(72\) | 2.42644 | − | 9.05561i | 0.285959 | − | 1.06721i | ||||
\(73\) | −12.2890 | − | 3.29282i | −1.43832 | − | 0.385396i | −0.546373 | − | 0.837542i | \(-0.683992\pi\) |
−0.891944 | + | 0.452146i | \(0.850659\pi\) | |||||||
\(74\) | 2.77349 | 0.322412 | ||||||||
\(75\) | −7.49643 | −0.865613 | ||||||||
\(76\) | −6.91890 | − | 1.85391i | −0.793653 | − | 0.212659i | ||||
\(77\) | −0.932428 | + | 0.705763i | −0.106260 | + | 0.0804292i | ||||
\(78\) | −9.43350 | + | 2.77455i | −1.06813 | + | 0.314156i | ||||
\(79\) | −1.77054 | + | 3.06666i | −0.199201 | + | 0.345026i | −0.948270 | − | 0.317466i | \(-0.897168\pi\) |
0.749069 | + | 0.662493i | \(0.230501\pi\) | |||||||
\(80\) | 50.1684 | − | 13.4426i | 5.60900 | − | 1.50293i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 3.94442 | + | 6.83193i | 0.435588 | + | 0.754461i | ||||
\(83\) | 2.33307 | + | 2.33307i | 0.256087 | + | 0.256087i | 0.823461 | − | 0.567373i | \(-0.192040\pi\) |
−0.567373 | + | 0.823461i | \(0.692040\pi\) | |||||||
\(84\) | −1.97178 | + | 14.2508i | −0.215139 | + | 1.55489i | ||||
\(85\) | −4.88639 | + | 1.30931i | −0.530004 | + | 0.142014i | ||||
\(86\) | 21.9089 | − | 5.87046i | 2.36249 | − | 0.633028i | ||||
\(87\) | − | 7.64195i | − | 0.819303i | ||||||
\(88\) | 3.58858 | + | 2.07187i | 0.382544 | + | 0.220862i | ||||
\(89\) | 7.39789 | − | 7.39789i | 0.784175 | − | 0.784175i | −0.196357 | − | 0.980532i | \(-0.562911\pi\) |
0.980532 | + | 0.196357i | \(0.0629113\pi\) | |||||||
\(90\) | −9.64073 | −1.01622 | ||||||||
\(91\) | 8.74741 | − | 3.80564i | 0.916977 | − | 0.398939i | ||||
\(92\) | −39.0850 | −4.07489 | ||||||||
\(93\) | −0.511482 | + | 0.511482i | −0.0530382 | + | 0.0530382i | ||||
\(94\) | 2.21601 | + | 1.27941i | 0.228563 | + | 0.131961i | ||||
\(95\) | 4.65670i | 0.477767i | ||||||||
\(96\) | 20.5926 | − | 5.51778i | 2.10173 | − | 0.563156i | ||||
\(97\) | −2.51514 | + | 0.673929i | −0.255373 | + | 0.0684271i | −0.384234 | − | 0.923236i | \(-0.625535\pi\) |
0.128861 | + | 0.991663i | \(0.458868\pi\) | |||||||
\(98\) | 0.251615 | − | 19.0887i | 0.0254170 | − | 1.92825i | ||||
\(99\) | −0.312538 | − | 0.312538i | −0.0314113 | − | 0.0314113i | ||||
\(100\) | −20.3814 | − | 35.3015i | −2.03814 | − | 3.53015i | ||||
\(101\) | 0.722867 | − | 1.25204i | 0.0719279 | − | 0.124583i | −0.827818 | − | 0.560996i | \(-0.810418\pi\) |
0.899746 | + | 0.436413i | \(0.143752\pi\) | |||||||
\(102\) | −3.76975 | + | 1.01010i | −0.373261 | + | 0.100015i | ||||
\(103\) | 6.70272 | − | 11.6095i | 0.660439 | − | 1.14391i | −0.320061 | − | 0.947397i | \(-0.603704\pi\) |
0.980500 | − | 0.196517i | \(-0.0629631\pi\) | |||||||
\(104\) | −24.4744 | − | 23.3152i | −2.39991 | − | 2.28624i | ||||
\(105\) | 9.28064 | − | 1.15965i | 0.905697 | − | 0.113170i | ||||
\(106\) | 13.0860 | + | 3.50640i | 1.27103 | + | 0.340571i | ||||
\(107\) | 1.88975 | 0.182689 | 0.0913447 | − | 0.995819i | \(-0.470883\pi\) | ||||
0.0913447 | + | 0.995819i | \(0.470883\pi\) | |||||||
\(108\) | −5.43762 | −0.523235 | ||||||||
\(109\) | 7.12442 | + | 1.90898i | 0.682396 | + | 0.182847i | 0.583332 | − | 0.812234i | \(-0.301749\pi\) |
0.0990637 | + | 0.995081i | \(0.468415\pi\) | |||||||
\(110\) | 1.10287 | − | 4.11597i | 0.105155 | − | 0.392442i | ||||
\(111\) | −0.263212 | − | 0.982321i | −0.0249830 | − | 0.0932378i | ||||
\(112\) | −36.0108 | + | 14.6389i | −3.40270 | + | 1.38324i | ||||
\(113\) | −3.09382 | + | 5.35865i | −0.291042 | + | 0.504100i | −0.974056 | − | 0.226305i | \(-0.927335\pi\) |
0.683014 | + | 0.730405i | \(0.260669\pi\) | |||||||
\(114\) | 3.59254i | 0.336472i | ||||||||
\(115\) | 6.57644 | + | 24.5436i | 0.613256 | + | 2.28870i | ||||
\(116\) | 35.9868 | − | 20.7770i | 3.34129 | − | 1.92909i | ||||
\(117\) | 1.87796 | + | 3.07787i | 0.173618 | + | 0.284549i | ||||
\(118\) | 8.87058i | 0.816603i | ||||||||
\(119\) | 3.50744 | − | 1.42582i | 0.321527 | − | 0.130705i | ||||
\(120\) | −16.5706 | − | 28.7010i | −1.51268 | − | 2.62003i | ||||
\(121\) | −9.35709 | + | 5.40232i | −0.850645 | + | 0.491120i | ||||
\(122\) | −9.18853 | + | 34.2921i | −0.831890 | + | 3.10466i | ||||
\(123\) | 2.04541 | − | 2.04541i | 0.184429 | − | 0.184429i | ||||
\(124\) | −3.79925 | − | 1.01800i | −0.341182 | − | 0.0914195i | ||||
\(125\) | −6.24018 | + | 6.24018i | −0.558139 | + | 0.558139i | ||||
\(126\) | 7.15981 | − | 0.894645i | 0.637847 | − | 0.0797013i | ||||
\(127\) | 5.90231 | − | 3.40770i | 0.523745 | − | 0.302384i | −0.214721 | − | 0.976676i | \(-0.568884\pi\) |
0.738466 | + | 0.674291i | \(0.235551\pi\) | |||||||
\(128\) | 25.3048 | + | 25.3048i | 2.23665 | + | 2.23665i | ||||
\(129\) | −4.15843 | − | 7.20261i | −0.366129 | − | 0.634155i | ||||
\(130\) | −16.6450 | + | 30.5158i | −1.45986 | + | 2.67641i | ||||
\(131\) | −3.17967 | − | 1.83578i | −0.277809 | − | 0.160393i | 0.354622 | − | 0.935010i | \(-0.384610\pi\) |
−0.632431 | + | 0.774617i | \(0.717943\pi\) | |||||||
\(132\) | 0.622047 | − | 2.32151i | 0.0541422 | − | 0.202062i | ||||
\(133\) | −0.432135 | − | 3.45836i | −0.0374708 | − | 0.299878i | ||||
\(134\) | 15.0095 | + | 8.66575i | 1.29662 | + | 0.748607i | ||||
\(135\) | 0.914933 | + | 3.41458i | 0.0787449 | + | 0.293880i | ||||
\(136\) | −9.48660 | − | 9.48660i | −0.813470 | − | 0.813470i | ||||
\(137\) | −5.57408 | − | 5.57408i | −0.476225 | − | 0.476225i | 0.427697 | − | 0.903922i | \(-0.359325\pi\) |
−0.903922 | + | 0.427697i | \(0.859325\pi\) | |||||||
\(138\) | 5.07358 | + | 18.9349i | 0.431892 | + | 1.61184i | ||||
\(139\) | 10.3222 | + | 5.95952i | 0.875517 | + | 0.505480i | 0.869178 | − | 0.494500i | \(-0.164649\pi\) |
0.00633943 | + | 0.999980i | \(0.497982\pi\) | |||||||
\(140\) | 30.6932 | + | 40.5507i | 2.59405 | + | 3.42716i | ||||
\(141\) | 0.242840 | − | 0.906290i | 0.0204508 | − | 0.0763234i | ||||
\(142\) | 4.45073 | + | 2.56963i | 0.373497 | + | 0.215638i | ||||
\(143\) | −1.52888 | + | 0.449670i | −0.127852 | + | 0.0376033i | ||||
\(144\) | −7.34621 | − | 12.7240i | −0.612184 | − | 1.06033i | ||||
\(145\) | −19.1021 | − | 19.1021i | −1.58635 | − | 1.58635i | ||||
\(146\) | −30.0483 | + | 17.3484i | −2.48681 | + | 1.43576i | ||||
\(147\) | −6.78477 | + | 1.72246i | −0.559599 | + | 0.142066i | ||||
\(148\) | 3.91024 | − | 3.91024i | 0.321420 | − | 0.321420i | ||||
\(149\) | −21.0304 | − | 5.63507i | −1.72287 | − | 0.461643i | −0.744353 | − | 0.667787i | \(-0.767242\pi\) |
−0.978522 | + | 0.206144i | \(0.933909\pi\) | |||||||
\(150\) | −14.4563 | + | 14.4563i | −1.18035 | + | 1.18035i | ||||
\(151\) | −3.61340 | + | 13.4854i | −0.294054 | + | 1.09742i | 0.647912 | + | 0.761715i | \(0.275643\pi\) |
−0.941966 | + | 0.335709i | \(0.891024\pi\) | |||||||
\(152\) | −10.6952 | + | 6.17489i | −0.867497 | + | 0.500850i | ||||
\(153\) | 0.715520 | + | 1.23932i | 0.0578464 | + | 0.100193i | ||||
\(154\) | −0.437105 | + | 3.15912i | −0.0352230 | + | 0.254569i | ||||
\(155\) | 2.55704i | 0.205387i | ||||||||
\(156\) | −9.38820 | + | 17.2117i | −0.751657 | + | 1.37804i | ||||
\(157\) | 12.9689 | − | 7.48759i | 1.03503 | − | 0.597574i | 0.116608 | − | 0.993178i | \(-0.462798\pi\) |
0.918421 | + | 0.395604i | \(0.129465\pi\) | |||||||
\(158\) | 2.49947 | + | 9.32816i | 0.198847 | + | 0.742108i | ||||
\(159\) | − | 4.96761i | − | 0.393957i | ||||||
\(160\) | 37.6817 | − | 65.2667i | 2.97900 | − | 5.15978i | ||||
\(161\) | −7.16169 | − | 17.6174i | −0.564420 | − | 1.38844i | ||||
\(162\) | 0.705851 | + | 2.63427i | 0.0554569 | + | 0.206968i | ||||
\(163\) | −2.28941 | + | 8.54420i | −0.179320 | + | 0.669233i | 0.816455 | + | 0.577409i | \(0.195936\pi\) |
−0.995775 | + | 0.0918237i | \(0.970730\pi\) | |||||||
\(164\) | 15.1932 | + | 4.07100i | 1.18639 | + | 0.317891i | ||||
\(165\) | −1.56247 | −0.121638 | ||||||||
\(166\) | 8.99827 | 0.698401 | ||||||||
\(167\) | −0.331336 | − | 0.0887813i | −0.0256396 | − | 0.00687010i | 0.245976 | − | 0.969276i | \(-0.420891\pi\) |
−0.271616 | + | 0.962406i | \(0.587558\pi\) | |||||||
\(168\) | 14.9698 | + | 19.7775i | 1.15494 | + | 1.52587i | ||||
\(169\) | 12.9847 | − | 0.630284i | 0.998824 | − | 0.0484833i | ||||
\(170\) | −6.89813 | + | 11.9479i | −0.529063 | + | 0.916363i | ||||
\(171\) | 1.27242 | − | 0.340943i | 0.0973040 | − | 0.0260725i | ||||
\(172\) | 22.6119 | − | 39.1650i | 1.72414 | − | 2.98631i | ||||
\(173\) | 4.62536 | + | 8.01137i | 0.351660 | + | 0.609093i | 0.986540 | − | 0.163517i | \(-0.0522840\pi\) |
−0.634880 | + | 0.772610i | \(0.718951\pi\) | |||||||
\(174\) | −14.7369 | − | 14.7369i | −1.11720 | − | 1.11720i | ||||
\(175\) | 12.1774 | − | 15.6552i | 0.920527 | − | 1.18342i | ||||
\(176\) | 6.27272 | − | 1.68077i | 0.472824 | − | 0.126693i | ||||
\(177\) | 3.14180 | − | 0.841844i | 0.236152 | − | 0.0632769i | ||||
\(178\) | − | 28.5325i | − | 2.13860i | ||||||
\(179\) | −12.6486 | − | 7.30269i | −0.945403 | − | 0.545829i | −0.0537533 | − | 0.998554i | \(-0.517118\pi\) |
−0.891650 | + | 0.452725i | \(0.850452\pi\) | |||||||
\(180\) | −13.5921 | + | 13.5921i | −1.01310 | + | 1.01310i | ||||
\(181\) | −8.63806 | −0.642062 | −0.321031 | − | 0.947069i | \(-0.604029\pi\) | ||||
−0.321031 | + | 0.947069i | \(0.604029\pi\) | |||||||
\(182\) | 9.52981 | − | 24.2076i | 0.706396 | − | 1.79438i | ||||
\(183\) | 13.0177 | 0.962293 | ||||||||
\(184\) | −47.6498 | + | 47.6498i | −3.51279 | + | 3.51279i | ||||
\(185\) | −3.11339 | − | 1.79752i | −0.228901 | − | 0.132156i | ||||
\(186\) | 1.97270i | 0.144646i | ||||||||
\(187\) | −0.610962 | + | 0.163707i | −0.0446779 | + | 0.0119714i | ||||
\(188\) | 4.92806 | − | 1.32047i | 0.359415 | − | 0.0963051i | ||||
\(189\) | −0.996354 | − | 2.45097i | −0.0724741 | − | 0.178282i | ||||
\(190\) | 8.98007 | + | 8.98007i | 0.651483 | + | 0.651483i | ||||
\(191\) | 3.52411 | + | 6.10394i | 0.254996 | + | 0.441666i | 0.964894 | − | 0.262638i | \(-0.0845925\pi\) |
−0.709899 | + | 0.704304i | \(0.751259\pi\) | |||||||
\(192\) | 14.3782 | − | 24.9038i | 1.03766 | − | 1.79728i | ||||
\(193\) | −22.3236 | + | 5.98160i | −1.60689 | + | 0.430565i | −0.947114 | − | 0.320897i | \(-0.896016\pi\) |
−0.659776 | + | 0.751462i | \(0.729349\pi\) | |||||||
\(194\) | −3.55062 | + | 6.14986i | −0.254920 | + | 0.441534i | ||||
\(195\) | 12.3878 | + | 2.99933i | 0.887109 | + | 0.214786i | ||||
\(196\) | −26.5577 | − | 27.2672i | −1.89698 | − | 1.94766i | ||||
\(197\) | −18.7705 | − | 5.02954i | −1.33734 | − | 0.358340i | −0.481895 | − | 0.876229i | \(-0.660051\pi\) |
−0.855448 | + | 0.517889i | \(0.826718\pi\) | |||||||
\(198\) | −1.20541 | −0.0856649 | ||||||||
\(199\) | 17.8108 | 1.26257 | 0.631285 | − | 0.775551i | \(-0.282528\pi\) | ||||
0.631285 | + | 0.775551i | \(0.282528\pi\) | |||||||
\(200\) | −67.8848 | − | 18.1897i | −4.80018 | − | 1.28620i | ||||
\(201\) | 1.64481 | − | 6.13851i | 0.116016 | − | 0.432977i | ||||
\(202\) | −1.02047 | − | 3.80846i | −0.0718002 | − | 0.267962i | ||||
\(203\) | 15.9591 | + | 12.4138i | 1.12011 | + | 0.871278i | ||||
\(204\) | −3.89072 | + | 6.73893i | −0.272405 | + | 0.471819i | ||||
\(205\) | − | 10.2256i | − | 0.714187i | ||||||
\(206\) | −9.46225 | − | 35.3136i | −0.659266 | − | 2.46041i | ||||
\(207\) | 6.22490 | − | 3.59395i | 0.432661 | − | 0.249797i | ||||
\(208\) | −52.9587 | + | 1.28456i | −3.67203 | + | 0.0890685i | ||||
\(209\) | 0.582242i | 0.0402745i | ||||||||
\(210\) | 15.6607 | − | 20.1333i | 1.08069 | − | 1.38933i | ||||
\(211\) | −5.03848 | − | 8.72690i | −0.346863 | − | 0.600785i | 0.638827 | − | 0.769350i | \(-0.279420\pi\) |
−0.985690 | + | 0.168565i | \(0.946087\pi\) | |||||||
\(212\) | 23.3931 | − | 13.5060i | 1.60664 | − | 0.927595i | ||||
\(213\) | 0.487730 | − | 1.82023i | 0.0334187 | − | 0.124720i | ||||
\(214\) | 3.64424 | − | 3.64424i | 0.249115 | − | 0.249115i | ||||
\(215\) | −28.3985 | − | 7.60937i | −1.93676 | − | 0.518955i | ||||
\(216\) | −6.62917 | + | 6.62917i | −0.451058 | + | 0.451058i | ||||
\(217\) | −0.237290 | − | 1.89902i | −0.0161083 | − | 0.128914i | ||||
\(218\) | 17.4202 | − | 10.0576i | 1.17985 | − | 0.681184i | ||||
\(219\) | 8.99616 | + | 8.99616i | 0.607904 | + | 0.607904i | ||||
\(220\) | −4.24805 | − | 7.35784i | −0.286404 | − | 0.496066i | ||||
\(221\) | 5.15817 | − | 0.125116i | 0.346976 | − | 0.00841623i | ||||
\(222\) | −2.40191 | − | 1.38674i | −0.161206 | − | 0.0930722i | ||||
\(223\) | 0.246185 | − | 0.918774i | 0.0164857 | − | 0.0615256i | −0.957193 | − | 0.289451i | \(-0.906527\pi\) |
0.973679 | + | 0.227925i | \(0.0731941\pi\) | |||||||
\(224\) | −21.9282 | + | 51.9680i | −1.46514 | + | 3.47226i | ||||
\(225\) | 6.49210 | + | 3.74822i | 0.432807 | + | 0.249881i | ||||
\(226\) | 4.36755 | + | 16.2999i | 0.290525 | + | 1.08425i | ||||
\(227\) | 17.3431 | + | 17.3431i | 1.15110 | + | 1.15110i | 0.986333 | + | 0.164766i | \(0.0526870\pi\) |
0.164766 | + | 0.986333i | \(0.447313\pi\) | |||||||
\(228\) | 5.06499 | + | 5.06499i | 0.335437 | + | 0.335437i | ||||
\(229\) | −5.33978 | − | 19.9283i | −0.352863 | − | 1.31690i | −0.883153 | − | 0.469085i | \(-0.844584\pi\) |
0.530290 | − | 0.847816i | \(-0.322083\pi\) | |||||||
\(230\) | 60.0126 | + | 34.6483i | 3.95711 | + | 2.28464i | ||||
\(231\) | 1.16039 | − | 0.144995i | 0.0763479 | − | 0.00953996i | ||||
\(232\) | 18.5428 | − | 69.2025i | 1.21739 | − | 4.54337i | ||||
\(233\) | 19.6906 | + | 11.3684i | 1.28998 | + | 0.744768i | 0.978650 | − | 0.205536i | \(-0.0658937\pi\) |
0.311326 | + | 0.950303i | \(0.399227\pi\) | |||||||
\(234\) | 9.55692 | + | 2.31392i | 0.624756 | + | 0.151266i | ||||
\(235\) | −1.65839 | − | 2.87241i | −0.108181 | − | 0.187376i | ||||
\(236\) | 12.5063 | + | 12.5063i | 0.814091 | + | 0.814091i | ||||
\(237\) | 3.06666 | − | 1.77054i | 0.199201 | − | 0.115009i | ||||
\(238\) | 4.01424 | − | 9.51341i | 0.260205 | − | 0.616663i | ||||
\(239\) | 20.7640 | − | 20.7640i | 1.34311 | − | 1.34311i | 0.450171 | − | 0.892943i | \(-0.351363\pi\) |
0.892943 | − | 0.450171i | \(-0.148637\pi\) | |||||||
\(240\) | −50.1684 | − | 13.4426i | −3.23836 | − | 0.867715i | ||||
\(241\) | −4.79541 | + | 4.79541i | −0.308900 | + | 0.308900i | −0.844483 | − | 0.535583i | \(-0.820092\pi\) |
0.535583 | + | 0.844483i | \(0.320092\pi\) | |||||||
\(242\) | −7.62647 | + | 28.4624i | −0.490248 | + | 1.82963i | ||||
\(243\) | 0.866025 | − | 0.500000i | 0.0555556 | − | 0.0320750i | ||||
\(244\) | 35.3925 | + | 61.3016i | 2.26577 | + | 3.92443i | ||||
\(245\) | −12.6540 | + | 21.2650i | −0.808433 | + | 1.35857i | ||||
\(246\) | − | 7.88884i | − | 0.502974i | ||||||
\(247\) | 1.11768 | − | 4.61622i | 0.0711161 | − | 0.293723i | ||||
\(248\) | −5.87286 | + | 3.39070i | −0.372927 | + | 0.215310i | ||||
\(249\) | −0.853962 | − | 3.18703i | −0.0541176 | − | 0.201970i | ||||
\(250\) | 24.0674i | 1.52216i | ||||||||
\(251\) | 2.83547 | − | 4.91118i | 0.178973 | − | 0.309991i | −0.762556 | − | 0.646922i | \(-0.776056\pi\) |
0.941529 | + | 0.336932i | \(0.109389\pi\) | |||||||
\(252\) | 8.83302 | − | 11.3557i | 0.556428 | − | 0.715340i | ||||
\(253\) | 0.822274 | + | 3.06877i | 0.0516959 | + | 0.192932i | ||||
\(254\) | 4.81065 | − | 17.9536i | 0.301847 | − | 1.12651i | ||||
\(255\) | 4.88639 | + | 1.30931i | 0.305998 | + | 0.0819919i | ||||
\(256\) | 40.0839 | 2.50524 | ||||||||
\(257\) | 1.19397 | 0.0744781 | 0.0372390 | − | 0.999306i | \(-0.488144\pi\) | ||||
0.0372390 | + | 0.999306i | \(0.488144\pi\) | |||||||
\(258\) | −21.9089 | − | 5.87046i | −1.36399 | − | 0.365479i | ||||
\(259\) | 2.47901 | + | 1.04603i | 0.154038 | + | 0.0649972i | ||||
\(260\) | 19.5559 | + | 66.4902i | 1.21280 | + | 4.12354i | ||||
\(261\) | −3.82097 | + | 6.61812i | −0.236512 | + | 0.409651i | ||||
\(262\) | −9.67191 | + | 2.59158i | −0.597533 | + | 0.160108i | ||||
\(263\) | 12.0587 | − | 20.8862i | 0.743569 | − | 1.28790i | −0.207292 | − | 0.978279i | \(-0.566465\pi\) |
0.950861 | − | 0.309619i | \(-0.100202\pi\) | |||||||
\(264\) | −2.07187 | − | 3.58858i | −0.127515 | − | 0.220862i | ||||
\(265\) | −12.4173 | − | 12.4173i | −0.762786 | − | 0.762786i | ||||
\(266\) | −7.50251 | − | 5.83583i | −0.460008 | − | 0.357818i | ||||
\(267\) | −10.1057 | + | 2.70782i | −0.618459 | + | 0.165716i | ||||
\(268\) | 33.3789 | − | 8.94384i | 2.03894 | − | 0.546332i | ||||
\(269\) | − | 18.4510i | − | 1.12498i | −0.826804 | − | 0.562490i | \(-0.809844\pi\) | ||
0.826804 | − | 0.562490i | \(-0.190156\pi\) | |||||||
\(270\) | 8.34912 | + | 4.82036i | 0.508111 | + | 0.293358i | ||||
\(271\) | 0.695084 | − | 0.695084i | 0.0422234 | − | 0.0422234i | −0.685680 | − | 0.727903i | \(-0.740495\pi\) |
0.727903 | + | 0.685680i | \(0.240495\pi\) | |||||||
\(272\) | −21.0254 | −1.27486 | ||||||||
\(273\) | −9.47830 | − | 1.07792i | −0.573653 | − | 0.0652388i | ||||
\(274\) | −21.4983 | −1.29876 | ||||||||
\(275\) | −2.34292 | + | 2.34292i | −0.141284 | + | 0.141284i | ||||
\(276\) | 33.8486 | + | 19.5425i | 2.03745 | + | 1.17632i | ||||
\(277\) | − | 18.0478i | − | 1.08439i | −0.840254 | − | 0.542194i | \(-0.817594\pi\) | ||
0.840254 | − | 0.542194i | \(-0.182406\pi\) | |||||||
\(278\) | 31.3980 | − | 8.41307i | 1.88313 | − | 0.504582i | ||||
\(279\) | 0.698697 | − | 0.187215i | 0.0418299 | − | 0.0112083i | ||||
\(280\) | 86.8557 | + | 12.0176i | 5.19062 | + | 0.718189i | ||||
\(281\) | 15.4188 | + | 15.4188i | 0.919807 | + | 0.919807i | 0.997015 | − | 0.0772077i | \(-0.0246005\pi\) |
−0.0772077 | + | 0.997015i | \(0.524600\pi\) | |||||||
\(282\) | −1.27941 | − | 2.21601i | −0.0761878 | − | 0.131961i | ||||
\(283\) | −13.7360 | + | 23.7915i | −0.816521 | + | 1.41426i | 0.0917093 | + | 0.995786i | \(0.470767\pi\) |
−0.908230 | + | 0.418470i | \(0.862566\pi\) | |||||||
\(284\) | 9.89773 | − | 2.65209i | 0.587323 | − | 0.157373i | ||||
\(285\) | 2.32835 | − | 4.03282i | 0.137919 | − | 0.238884i | ||||
\(286\) | −2.08118 | + | 3.81548i | −0.123063 | + | 0.225614i | ||||
\(287\) | 0.948921 | + | 7.59418i | 0.0560130 | + | 0.448270i | ||||
\(288\) | −20.5926 | − | 5.51778i | −1.21343 | − | 0.325138i | ||||
\(289\) | −14.9521 | −0.879537 | ||||||||
\(290\) | −73.6739 | −4.32628 | ||||||||
\(291\) | 2.51514 | + | 0.673929i | 0.147440 | + | 0.0395064i | ||||
\(292\) | −17.9051 | + | 66.8228i | −1.04782 | + | 3.91051i | ||||
\(293\) | 2.03171 | + | 7.58244i | 0.118694 | + | 0.442971i | 0.999537 | − | 0.0304377i | \(-0.00969010\pi\) |
−0.880843 | + | 0.473409i | \(0.843023\pi\) | |||||||
\(294\) | −9.76227 | + | 16.4055i | −0.569347 | + | 0.956790i | ||||
\(295\) | 5.74908 | − | 9.95770i | 0.334724 | − | 0.579760i | ||||
\(296\) | − | 9.53419i | − | 0.554163i | ||||||
\(297\) | 0.114397 | + | 0.426935i | 0.00663799 | + | 0.0247733i | ||||
\(298\) | −51.4222 | + | 29.6886i | −2.97881 | + | 1.71982i | ||||
\(299\) | −0.628440 | − | 25.9087i | −0.0363436 | − | 1.49834i | ||||
\(300\) | 40.7627i | 2.35344i | ||||||||
\(301\) | 21.7967 | + | 3.01585i | 1.25634 | + | 0.173831i | ||||
\(302\) | 19.0373 | + | 32.9736i | 1.09548 | + | 1.89742i | ||||
\(303\) | −1.25204 | + | 0.722867i | −0.0719279 | + | 0.0415276i | ||||
\(304\) | −5.00927 | + | 18.6949i | −0.287302 | + | 1.07222i | ||||
\(305\) | 32.5395 | − | 32.5395i | 1.86321 | − | 1.86321i | ||||
\(306\) | 3.76975 | + | 1.01010i | 0.215502 | + | 0.0577436i | ||||
\(307\) | −16.1223 | + | 16.1223i | −0.920147 | + | 0.920147i | −0.997039 | − | 0.0768923i | \(-0.975500\pi\) |
0.0768923 | + | 0.997039i | \(0.475500\pi\) | |||||||
\(308\) | 3.83767 | + | 5.07019i | 0.218671 | + | 0.288901i | ||||
\(309\) | −11.6095 | + | 6.70272i | −0.660439 | + | 0.381305i | ||||
\(310\) | 4.93106 | + | 4.93106i | 0.280065 | + | 0.280065i | ||||
\(311\) | −2.75580 | − | 4.77319i | −0.156267 | − | 0.270663i | 0.777253 | − | 0.629189i | \(-0.216613\pi\) |
−0.933520 | + | 0.358526i | \(0.883279\pi\) | |||||||
\(312\) | 9.53783 | + | 32.4287i | 0.539973 | + | 1.83592i | ||||
\(313\) | 16.8101 | + | 9.70534i | 0.950165 | + | 0.548578i | 0.893132 | − | 0.449794i | \(-0.148503\pi\) |
0.0570329 | + | 0.998372i | \(0.481836\pi\) | |||||||
\(314\) | 10.5702 | − | 39.4487i | 0.596513 | − | 2.22622i | ||||
\(315\) | −8.61709 | − | 3.63603i | −0.485518 | − | 0.204867i | ||||
\(316\) | 16.6753 | + | 9.62750i | 0.938060 | + | 0.541589i | ||||
\(317\) | 7.26716 | + | 27.1214i | 0.408164 | + | 1.52329i | 0.798144 | + | 0.602467i | \(0.205815\pi\) |
−0.389980 | + | 0.920823i | \(0.627518\pi\) | |||||||
\(318\) | −9.57965 | − | 9.57965i | −0.537200 | − | 0.537200i | ||||
\(319\) | −2.38840 | − | 2.38840i | −0.133725 | − | 0.133725i | ||||
\(320\) | −26.3102 | − | 98.1911i | −1.47079 | − | 5.48905i | ||||
\(321\) | −1.63658 | − | 0.944877i | −0.0913447 | − | 0.0527379i | ||||
\(322\) | −47.7844 | − | 20.1629i | −2.66292 | − | 1.12364i | ||||
\(323\) | 0.487902 | − | 1.82088i | 0.0271476 | − | 0.101316i | ||||
\(324\) | 4.70911 | + | 2.71881i | 0.261617 | + | 0.151045i | ||||
\(325\) | 23.0730 | − | 14.0780i | 1.27986 | − | 0.780908i | ||||
\(326\) | 12.0619 | + | 20.8918i | 0.668045 | + | 1.15709i | ||||
\(327\) | −5.21544 | − | 5.21544i | −0.288414 | − | 0.288414i | ||||
\(328\) | 23.4856 | − | 13.5594i | 1.29677 | − | 0.748692i | ||||
\(329\) | 1.49818 | + | 1.97934i | 0.0825973 | + | 0.109125i | ||||
\(330\) | −3.01310 | + | 3.01310i | −0.165866 | + | 0.165866i | ||||
\(331\) | −7.33428 | − | 1.96521i | −0.403129 | − | 0.108018i | 0.0515569 | − | 0.998670i | \(-0.483582\pi\) |
−0.454685 | + | 0.890652i | \(0.650248\pi\) | |||||||
\(332\) | 12.6863 | − | 12.6863i | 0.696252 | − | 0.696252i | ||||
\(333\) | −0.263212 | + | 0.982321i | −0.0144239 | + | 0.0538309i | ||||
\(334\) | −0.810163 | + | 0.467748i | −0.0443302 | + | 0.0255940i | ||||
\(335\) | −11.2327 | − | 19.4555i | −0.613705 | − | 1.06297i | ||||
\(336\) | 38.5057 | + | 5.32776i | 2.10066 | + | 0.290653i | ||||
\(337\) | 3.26189i | 0.177686i | 0.996046 | + | 0.0888431i | \(0.0283170\pi\) | ||||
−0.996046 | + | 0.0888431i | \(0.971683\pi\) | |||||||
\(338\) | 23.8245 | − | 26.2554i | 1.29588 | − | 1.42811i | ||||
\(339\) | 5.35865 | − | 3.09382i | 0.291042 | − | 0.168033i | ||||
\(340\) | 7.11950 | + | 26.5703i | 0.386109 | + | 1.44098i | ||||
\(341\) | 0.319715i | 0.0173136i | ||||||||
\(342\) | 1.79627 | − | 3.11123i | 0.0971312 | − | 0.168236i | ||||
\(343\) | 7.42428 | − | 16.9670i | 0.400873 | − | 0.916133i | ||||
\(344\) | −20.1804 | − | 75.3143i | −1.08805 | − | 4.06067i | ||||
\(345\) | 6.57644 | − | 24.5436i | 0.354064 | − | 1.32138i | ||||
\(346\) | 24.3689 | + | 6.52964i | 1.31008 | + | 0.351035i | ||||
\(347\) | −30.9665 | −1.66237 | −0.831185 | − | 0.555996i | \(-0.812337\pi\) | ||||
−0.831185 | + | 0.555996i | \(0.812337\pi\) | |||||||
\(348\) | −41.5540 | −2.22753 | ||||||||
\(349\) | −11.7105 | − | 3.13781i | −0.626847 | − | 0.167963i | −0.0686086 | − | 0.997644i | \(-0.521856\pi\) |
−0.558239 | + | 0.829680i | \(0.688523\pi\) | |||||||
\(350\) | −6.70664 | − | 53.6730i | −0.358485 | − | 2.86894i | ||||
\(351\) | −0.0874303 | − | 3.60449i | −0.00466668 | − | 0.192394i | ||||
\(352\) | 4.71147 | − | 8.16050i | 0.251122 | − | 0.434956i | ||||
\(353\) | −28.4026 | + | 7.61046i | −1.51172 | + | 0.405064i | −0.917006 | − | 0.398874i | \(-0.869401\pi\) |
−0.594713 | + | 0.803938i | \(0.702734\pi\) | |||||||
\(354\) | 4.43529 | − | 7.68215i | 0.235733 | − | 0.408302i | ||||
\(355\) | −3.33078 | − | 5.76909i | −0.176780 | − | 0.306191i | ||||
\(356\) | −40.2269 | − | 40.2269i | −2.13202 | − | 2.13202i | ||||
\(357\) | −3.75045 | − | 0.518923i | −0.198495 | − | 0.0274643i | ||||
\(358\) | −38.4746 | + | 10.3092i | −2.03344 | + | 0.544860i | ||||
\(359\) | 8.99331 | − | 2.40975i | 0.474649 | − | 0.127182i | −0.0135610 | − | 0.999908i | \(-0.504317\pi\) |
0.488210 | + | 0.872726i | \(0.337650\pi\) | |||||||
\(360\) | 33.1411i | 1.74669i | ||||||||
\(361\) | 14.9517 | + | 8.63236i | 0.786931 | + | 0.454335i | ||||
\(362\) | −16.6578 | + | 16.6578i | −0.875516 | + | 0.875516i | ||||
\(363\) | 10.8046 | 0.567097 | ||||||||
\(364\) | −20.6936 | − | 47.5650i | −1.08464 | − | 2.49308i | ||||
\(365\) | 44.9744 | 2.35407 | ||||||||
\(366\) | 25.1035 | − | 25.1035i | 1.31218 | − | 1.31218i | ||||
\(367\) | 21.8442 | + | 12.6118i | 1.14026 | + | 0.658329i | 0.946495 | − | 0.322720i | \(-0.104597\pi\) |
0.193764 | + | 0.981048i | \(0.437930\pi\) | |||||||
\(368\) | 105.608i | 5.50518i | ||||||||
\(369\) | −2.79409 | + | 0.748673i | −0.145454 | + | 0.0389744i | ||||
\(370\) | −9.47029 | + | 2.53756i | −0.492337 | + | 0.131921i | ||||
\(371\) | 10.3741 | + | 8.06954i | 0.538599 | + | 0.418950i | ||||
\(372\) | 2.78124 | + | 2.78124i | 0.144201 | + | 0.144201i | ||||
\(373\) | 0.524168 | + | 0.907886i | 0.0271404 | + | 0.0470086i | 0.879277 | − | 0.476312i | \(-0.158027\pi\) |
−0.852136 | + | 0.523320i | \(0.824693\pi\) | |||||||
\(374\) | −0.862496 | + | 1.49389i | −0.0445986 | + | 0.0772470i | ||||
\(375\) | 8.52425 | − | 2.28407i | 0.440190 | − | 0.117949i | ||||
\(376\) | 4.39812 | − | 7.61777i | 0.226816 | − | 0.392857i | ||||
\(377\) | 14.3513 | + | 23.5209i | 0.739129 | + | 1.21139i | ||||
\(378\) | −6.64790 | − | 2.80512i | −0.341931 | − | 0.144280i | ||||
\(379\) | −15.3006 | − | 4.09979i | −0.785941 | − | 0.210592i | −0.156539 | − | 0.987672i | \(-0.550034\pi\) |
−0.629402 | + | 0.777080i | \(0.716700\pi\) | |||||||
\(380\) | 25.3213 | 1.29896 | ||||||||
\(381\) | −6.81540 | −0.349163 | ||||||||
\(382\) | 18.5669 | + | 4.97500i | 0.949968 | + | 0.254543i | ||||
\(383\) | −6.72323 | + | 25.0914i | −0.343541 | + | 1.28211i | 0.550767 | + | 0.834659i | \(0.314335\pi\) |
−0.894308 | + | 0.447453i | \(0.852331\pi\) | |||||||
\(384\) | −9.26222 | − | 34.5671i | −0.472661 | − | 1.76399i | ||||
\(385\) | 2.53812 | − | 3.26299i | 0.129355 | − | 0.166297i | ||||
\(386\) | −31.5143 | + | 54.5844i | −1.60404 | + | 2.77827i | ||||
\(387\) | 8.31686i | 0.422770i | ||||||||
\(388\) | 3.66457 | + | 13.6763i | 0.186040 | + | 0.694311i | ||||
\(389\) | 20.0494 | − | 11.5755i | 1.01655 | − | 0.586903i | 0.103444 | − | 0.994635i | \(-0.467014\pi\) |
0.913102 | + | 0.407732i | \(0.133680\pi\) | |||||||
\(390\) | 29.6729 | − | 18.1049i | 1.50254 | − | 0.916779i | ||||
\(391\) | − | 10.2862i | − | 0.520194i | ||||||
\(392\) | −65.6197 | − | 0.864956i | −3.31430 | − | 0.0436869i | ||||
\(393\) | 1.83578 | + | 3.17967i | 0.0926031 | + | 0.160393i | ||||
\(394\) | −45.8965 | + | 26.4984i | −2.31223 | + | 1.33497i | ||||
\(395\) | 3.23985 | − | 12.0913i | 0.163014 | − | 0.608378i | ||||
\(396\) | −1.69946 | + | 1.69946i | −0.0854013 | + | 0.0854013i | ||||
\(397\) | −11.4194 | − | 3.05983i | −0.573125 | − | 0.153569i | −0.0393958 | − | 0.999224i | \(-0.512543\pi\) |
−0.533730 | + | 0.845655i | \(0.679210\pi\) | |||||||
\(398\) | 34.3466 | − | 34.3466i | 1.72164 | − | 1.72164i | ||||
\(399\) | −1.35494 | + | 3.21109i | −0.0678318 | + | 0.160756i | ||||
\(400\) | −95.3847 | + | 55.0704i | −4.76923 | + | 2.75352i | ||||
\(401\) | 14.7302 | + | 14.7302i | 0.735592 | + | 0.735592i | 0.971722 | − | 0.236129i | \(-0.0758789\pi\) |
−0.236129 | + | 0.971722i | \(0.575879\pi\) | |||||||
\(402\) | −8.66575 | − | 15.0095i | −0.432208 | − | 0.748607i | ||||
\(403\) | 0.613729 | − | 2.53482i | 0.0305720 | − | 0.126268i | ||||
\(404\) | −6.80812 | − | 3.93067i | −0.338717 | − | 0.195558i | ||||
\(405\) | 0.914933 | − | 3.41458i | 0.0454634 | − | 0.169672i | ||||
\(406\) | 54.7149 | − | 6.83683i | 2.71545 | − | 0.339306i | ||||
\(407\) | −0.389277 | − | 0.224749i | −0.0192957 | − | 0.0111404i | ||||
\(408\) | 3.47234 | + | 12.9589i | 0.171906 | + | 0.641563i | ||||
\(409\) | −11.2439 | − | 11.2439i | −0.555974 | − | 0.555974i | 0.372185 | − | 0.928159i | \(-0.378609\pi\) |
−0.928159 | + | 0.372185i | \(0.878609\pi\) | |||||||
\(410\) | −19.7193 | − | 19.7193i | −0.973865 | − | 0.973865i | ||||
\(411\) | 2.04025 | + | 7.61433i | 0.100638 | + | 0.375587i | ||||
\(412\) | −63.1278 | − | 36.4468i | −3.11008 | − | 1.79561i | ||||
\(413\) | −3.34557 | + | 7.92872i | −0.164625 | + | 0.390147i | ||||
\(414\) | 5.07358 | − | 18.9349i | 0.249353 | − | 0.930598i | ||||
\(415\) | −10.1010 | − | 5.83183i | −0.495840 | − | 0.286274i | ||||
\(416\) | −53.0192 | + | 55.6552i | −2.59948 | + | 2.72872i | ||||
\(417\) | −5.95952 | − | 10.3222i | −0.291839 | − | 0.505480i | ||||
\(418\) | 1.12281 | + | 1.12281i | 0.0549183 | + | 0.0549183i | ||||
\(419\) | −4.29128 | + | 2.47757i | −0.209643 | + | 0.121037i | −0.601145 | − | 0.799140i | \(-0.705289\pi\) |
0.391503 | + | 0.920177i | \(0.371955\pi\) | |||||||
\(420\) | −6.30573 | − | 50.4645i | −0.307688 | − | 2.46242i | ||||
\(421\) | 0.811225 | − | 0.811225i | 0.0395367 | − | 0.0395367i | −0.687062 | − | 0.726599i | \(-0.741100\pi\) |
0.726599 | + | 0.687062i | \(0.241100\pi\) | |||||||
\(422\) | −26.5455 | − | 7.11283i | −1.29221 | − | 0.346247i | ||||
\(423\) | −0.663450 | + | 0.663450i | −0.0322581 | + | 0.0322581i | ||||
\(424\) | 12.0536 | − | 44.9848i | 0.585376 | − | 2.18465i | ||||
\(425\) | 9.29045 | − | 5.36385i | 0.450653 | − | 0.260185i | ||||
\(426\) | −2.56963 | − | 4.45073i | −0.124499 | − | 0.215638i | ||||
\(427\) | −21.1463 | + | 27.1855i | −1.02334 | + | 1.31560i | ||||
\(428\) | − | 10.2758i | − | 0.496697i | ||||||
\(429\) | 1.54889 | + | 0.375016i | 0.0747810 | + | 0.0181059i | ||||
\(430\) | −69.4384 | + | 40.0903i | −3.34862 | + | 1.93333i | ||||
\(431\) | −5.30567 | − | 19.8010i | −0.255565 | − | 0.953783i | −0.967775 | − | 0.251816i | \(-0.918972\pi\) |
0.712210 | − | 0.701967i | \(-0.247694\pi\) | |||||||
\(432\) | 14.6924i | 0.706890i | ||||||||
\(433\) | −0.246122 | + | 0.426295i | −0.0118279 | + | 0.0204864i | −0.871879 | − | 0.489722i | \(-0.837098\pi\) |
0.860051 | + | 0.510208i | \(0.170432\pi\) | |||||||
\(434\) | −4.11971 | − | 3.20452i | −0.197752 | − | 0.153822i | ||||
\(435\) | 6.99187 | + | 26.0940i | 0.335234 | + | 1.25111i | ||||
\(436\) | 10.3803 | − | 38.7399i | 0.497127 | − | 1.85530i | ||||
\(437\) | −9.14599 | − | 2.45066i | −0.437512 | − | 0.117231i | ||||
\(438\) | 34.6968 | 1.65788 | ||||||||
\(439\) | 22.3782 | 1.06806 | 0.534028 | − | 0.845467i | \(-0.320678\pi\) | ||||
0.534028 | + | 0.845467i | \(0.320678\pi\) | |||||||
\(440\) | −14.1491 | − | 3.79124i | −0.674533 | − | 0.180740i | ||||
\(441\) | 6.73701 | + | 1.90069i | 0.320810 | + | 0.0905092i | ||||
\(442\) | 9.70585 | − | 10.1884i | 0.461660 | − | 0.484613i | ||||
\(443\) | 4.77420 | − | 8.26916i | 0.226829 | − | 0.392880i | −0.730038 | − | 0.683407i | \(-0.760497\pi\) |
0.956867 | + | 0.290527i | \(0.0938308\pi\) | |||||||
\(444\) | −5.34148 | + | 1.43125i | −0.253496 | + | 0.0679239i | ||||
\(445\) | −18.4921 | + | 32.0292i | −0.876609 | + | 1.51833i | ||||
\(446\) | −1.29703 | − | 2.24653i | −0.0614164 | − | 0.106376i | ||||
\(447\) | 15.3953 | + | 15.3953i | 0.728172 | + | 0.728172i | ||||
\(448\) | 28.6516 | + | 70.4813i | 1.35366 | + | 3.32993i | ||||
\(449\) | −17.1874 | + | 4.60535i | −0.811124 | + | 0.217340i | −0.640462 | − | 0.767990i | \(-0.721257\pi\) |
−0.170662 | + | 0.985330i | \(0.554591\pi\) | |||||||
\(450\) | 19.7476 | − | 5.29136i | 0.930913 | − | 0.249437i | ||||
\(451\) | − | 1.27854i | − | 0.0602041i | ||||||
\(452\) | 29.1383 | + | 16.8230i | 1.37055 | + | 0.791287i | ||||
\(453\) | 9.87198 | − | 9.87198i | 0.463826 | − | 0.463826i | ||||
\(454\) | 66.8894 | 3.13928 | ||||||||
\(455\) | −26.3868 | + | 20.9979i | −1.23703 | + | 0.984398i | ||||
\(456\) | 12.3498 | 0.578331 | ||||||||
\(457\) | −19.4797 | + | 19.4797i | −0.911220 | + | 0.911220i | −0.996368 | − | 0.0851486i | \(-0.972864\pi\) |
0.0851486 | + | 0.996368i | \(0.472864\pi\) | |||||||
\(458\) | −48.7276 | − | 28.1329i | −2.27689 | − | 1.31456i | ||||
\(459\) | − | 1.43104i | − | 0.0667952i | ||||||
\(460\) | 133.459 | − | 35.7602i | 6.22255 | − | 1.66733i | ||||
\(461\) | −10.0918 | + | 2.70408i | −0.470021 | + | 0.125942i | −0.486052 | − | 0.873930i | \(-0.661563\pi\) |
0.0160314 | + | 0.999871i | \(0.494897\pi\) | |||||||
\(462\) | 1.95811 | − | 2.51733i | 0.0910993 | − | 0.117117i | ||||
\(463\) | −10.7292 | − | 10.7292i | −0.498628 | − | 0.498628i | 0.412382 | − | 0.911011i | \(-0.364697\pi\) |
−0.911011 | + | 0.412382i | \(0.864697\pi\) | |||||||
\(464\) | −56.1394 | − | 97.2362i | −2.60620 | − | 4.51408i | ||||
\(465\) | 1.27852 | − | 2.21446i | 0.0592900 | − | 0.102693i | ||||
\(466\) | 59.8948 | − | 16.0488i | 2.77457 | − | 0.743445i | ||||
\(467\) | −7.08987 | + | 12.2800i | −0.328080 | + | 0.568251i | −0.982131 | − | 0.188199i | \(-0.939735\pi\) |
0.654051 | + | 0.756451i | \(0.273068\pi\) | |||||||
\(468\) | 16.7362 | − | 10.2116i | 0.773633 | − | 0.472033i | ||||
\(469\) | 10.1475 | + | 13.4065i | 0.468569 | + | 0.619056i | ||||
\(470\) | −8.73729 | − | 2.34115i | −0.403021 | − | 0.107989i | ||||
\(471\) | −14.9752 | −0.690019 | ||||||||
\(472\) | 30.4937 | 1.40358 | ||||||||
\(473\) | −3.55076 | − | 0.951424i | −0.163264 | − | 0.0437465i | ||||
\(474\) | 2.49947 | − | 9.32816i | 0.114805 | − | 0.428456i | ||||
\(475\) | −2.55585 | − | 9.53857i | −0.117271 | − | 0.437660i | ||||
\(476\) | −7.75308 | − | 19.0721i | −0.355362 | − | 0.874169i | ||||
\(477\) | −2.48381 | + | 4.30208i | −0.113726 | + | 0.196979i | ||||
\(478\) | − | 80.0836i | − | 3.66294i | ||||||
\(479\) | −6.49544 | − | 24.2413i | −0.296784 | − | 1.10761i | −0.939790 | − | 0.341752i | \(-0.888980\pi\) |
0.643006 | − | 0.765861i | \(-0.277687\pi\) | |||||||
\(480\) | −65.2667 | + | 37.6817i | −2.97900 | + | 1.71993i | ||||
\(481\) | 2.65489 | + | 2.52915i | 0.121053 | + | 0.115319i | ||||
\(482\) | 18.4951i | 0.842431i | ||||||||
\(483\) | −2.60647 | + | 18.8379i | −0.118599 | + | 0.857155i | ||||
\(484\) | 29.3757 | + | 50.8803i | 1.33526 | + | 2.31274i | ||||
\(485\) | 7.97153 | − | 4.60236i | 0.361968 | − | 0.208983i | ||||
\(486\) | 0.705851 | − | 2.63427i | 0.0320181 | − | 0.119493i | ||||
\(487\) | −17.1606 | + | 17.1606i | −0.777620 | + | 0.777620i | −0.979426 | − | 0.201805i | \(-0.935319\pi\) |
0.201805 | + | 0.979426i | \(0.435319\pi\) | |||||||
\(488\) | 117.883 | + | 31.5866i | 5.33631 | + | 1.42986i | ||||
\(489\) | 6.25479 | − | 6.25479i | 0.282851 | − | 0.282851i | ||||
\(490\) | 16.6058 | + | 65.4101i | 0.750171 | + | 2.95493i | ||||
\(491\) | −9.68019 | + | 5.58886i | −0.436861 | + | 0.252222i | −0.702265 | − | 0.711915i | \(-0.747828\pi\) |
0.265404 | + | 0.964137i | \(0.414495\pi\) | |||||||
\(492\) | −11.1222 | − | 11.1222i | −0.501426 | − | 0.501426i | ||||
\(493\) | 5.46796 | + | 9.47079i | 0.246265 | + | 0.426543i | ||||
\(494\) | −6.74666 | − | 11.0574i | −0.303547 | − | 0.497494i | ||||
\(495\) | 1.35314 | + | 0.781234i | 0.0608190 | + | 0.0351139i | ||||
\(496\) | −2.75065 | + | 10.2656i | −0.123508 | + | 0.460937i | ||||
\(497\) | 3.00901 | + | 3.97540i | 0.134973 | + | 0.178321i | ||||
\(498\) | −7.79273 | − | 4.49914i | −0.349201 | − | 0.201611i | ||||
\(499\) | −10.2127 | − | 38.1144i | −0.457184 | − | 1.70623i | −0.681587 | − | 0.731737i | \(-0.738710\pi\) |
0.224403 | − | 0.974496i | \(-0.427957\pi\) | |||||||
\(500\) | 33.9317 | + | 33.9317i | 1.51747 | + | 1.51747i | ||||
\(501\) | 0.242555 | + | 0.242555i | 0.0108366 | + | 0.0108366i | ||||
\(502\) | −4.00284 | − | 14.9388i | −0.178655 | − | 0.666751i | ||||
\(503\) | −7.48538 | − | 4.32169i | −0.333757 | − | 0.192694i | 0.323751 | − | 0.946142i | \(-0.395056\pi\) |
−0.657508 | + | 0.753448i | \(0.728389\pi\) | |||||||
\(504\) | −3.07545 | − | 24.6127i | −0.136991 | − | 1.09634i | ||||
\(505\) | −1.32275 | + | 4.93657i | −0.0588616 | + | 0.219674i | ||||
\(506\) | 7.50357 | + | 4.33219i | 0.333574 | + | 0.192589i | ||||
\(507\) | −11.5602 | − | 5.94651i | −0.513408 | − | 0.264094i | ||||
\(508\) | −18.5297 | − | 32.0945i | −0.822125 | − | 1.42396i | ||||
\(509\) | 3.95593 | + | 3.95593i | 0.175343 | + | 0.175343i | 0.789322 | − | 0.613979i | \(-0.210432\pi\) |
−0.613979 | + | 0.789322i | \(0.710432\pi\) | |||||||
\(510\) | 11.9479 | − | 6.89813i | 0.529063 | − | 0.305454i | ||||
\(511\) | −33.4008 | + | 4.17355i | −1.47756 | + | 0.184627i | ||||
\(512\) | 26.6889 | − | 26.6889i | 1.17950 | − | 1.17950i | ||||
\(513\) | −1.27242 | − | 0.340943i | −0.0561785 | − | 0.0150530i | ||||
\(514\) | 2.30249 | − | 2.30249i | 0.101558 | − | 0.101558i | ||||
\(515\) | −12.2651 | + | 45.7739i | −0.540464 | + | 2.01704i | ||||
\(516\) | −39.1650 | + | 22.6119i | −1.72414 | + | 0.995435i | ||||
\(517\) | −0.207354 | − | 0.359147i | −0.00911940 | − | 0.0157953i | ||||
\(518\) | 6.79775 | − | 2.76338i | 0.298676 | − | 0.121416i | ||||
\(519\) | − | 9.25073i | − | 0.406062i | ||||||
\(520\) | 104.901 | + | 57.2191i | 4.60023 | + | 2.50922i | ||||
\(521\) | 5.55782 | − | 3.20881i | 0.243493 | − | 0.140581i | −0.373288 | − | 0.927715i | \(-0.621770\pi\) |
0.616781 | + | 0.787135i | \(0.288436\pi\) | |||||||
\(522\) | 5.39408 | + | 20.1310i | 0.236092 | + | 0.881108i | ||||
\(523\) | 31.6355i | 1.38333i | 0.722221 | + | 0.691663i | \(0.243121\pi\) | ||||
−0.722221 | + | 0.691663i | \(0.756879\pi\) | |||||||
\(524\) | −9.98229 | + | 17.2898i | −0.436078 | + | 0.755310i | ||||
\(525\) | −18.3736 | + | 7.46910i | −0.801888 | + | 0.325978i | ||||
\(526\) | −17.0232 | − | 63.5316i | −0.742248 | − | 2.77011i | ||||
\(527\) | 0.267913 | − | 0.999863i | 0.0116705 | − | 0.0435547i | ||||
\(528\) | −6.27272 | − | 1.68077i | −0.272985 | − | 0.0731461i | ||||
\(529\) | −28.6659 | −1.24634 | ||||||||
\(530\) | −47.8914 | −2.08027 | ||||||||
\(531\) | −3.14180 | − | 0.841844i | −0.136343 | − | 0.0365329i | ||||
\(532\) | −18.8052 | + | 2.34978i | −0.815310 | + | 0.101876i | ||||
\(533\) | −2.45430 | + | 10.1367i | −0.106307 | + | 0.439070i | ||||
\(534\) | −14.2663 | + | 24.7099i | −0.617361 | + | 1.06930i | ||||
\(535\) | −6.45271 | + | 1.72900i | −0.278975 | + | 0.0747511i | ||||
\(536\) | 29.7895 | − | 51.5969i | 1.28671 | − | 2.22865i | ||||
\(537\) | 7.30269 | + | 12.6486i | 0.315134 | + | 0.545829i | ||||
\(538\) | −35.5814 | − | 35.5814i | −1.53402 | − | 1.53402i | ||||
\(539\) | −1.58217 | + | 2.65884i | −0.0681488 | + | 0.114524i | ||||
\(540\) | 18.5671 | − | 4.97505i | 0.799003 | − | 0.214092i | ||||
\(541\) | −18.2900 | + | 4.90078i | −0.786347 | + | 0.210701i | −0.629581 | − | 0.776935i | \(-0.716773\pi\) |
−0.156766 | + | 0.987636i | \(0.550107\pi\) | |||||||
\(542\) | − | 2.68083i | − | 0.115152i | ||||||
\(543\) | 7.48078 | + | 4.31903i | 0.321031 | + | 0.185347i | ||||
\(544\) | −21.5727 | + | 21.5727i | −0.924922 | + | 0.924922i | ||||
\(545\) | −26.0735 | −1.11686 | ||||||||
\(546\) | −20.3568 | + | 16.1995i | −0.871192 | + | 0.693273i | ||||
\(547\) | −13.7543 | −0.588091 | −0.294046 | − | 0.955791i | \(-0.595002\pi\) | ||||
−0.294046 | + | 0.955791i | \(0.595002\pi\) | |||||||
\(548\) | −30.3097 | + | 30.3097i | −1.29477 | + | 1.29477i | ||||
\(549\) | −11.2736 | − | 6.50883i | −0.481146 | − | 0.277790i | ||||
\(550\) | 9.03628i | 0.385308i | ||||||||
\(551\) | 9.72373 | − | 2.60546i | 0.414245 | − | 0.110997i | ||||
\(552\) | 65.0908 | − | 17.4410i | 2.77045 | − | 0.742340i | ||||
\(553\) | −1.28406 | + | 9.28039i | −0.0546039 | + | 0.394643i | ||||
\(554\) | −34.8038 | − | 34.8038i | −1.47867 | − | 1.47867i | ||||
\(555\) | 1.79752 | + | 3.11339i | 0.0763003 | + | 0.132156i | ||||
\(556\) | 32.4056 | − | 56.1281i | 1.37430 | − | 2.38036i | ||||
\(557\) | 16.6591 | − | 4.46378i | 0.705867 | − | 0.189137i | 0.112010 | − | 0.993707i | \(-0.464271\pi\) |
0.593857 | + | 0.804571i | \(0.297604\pi\) | |||||||
\(558\) | 0.986352 | − | 1.70841i | 0.0417556 | − | 0.0723228i | ||||
\(559\) | 26.3253 | + | 14.3593i | 1.11344 | + | 0.607334i | ||||
\(560\) | 109.568 | − | 82.9329i | 4.63009 | − | 3.50456i | ||||
\(561\) | 0.610962 | + | 0.163707i | 0.0257948 | + | 0.00691170i | ||||
\(562\) | 59.4678 | 2.50850 | ||||||||
\(563\) | 33.0554 | 1.39312 | 0.696559 | − | 0.717499i | \(-0.254713\pi\) | ||||
0.696559 | + | 0.717499i | \(0.254713\pi\) | |||||||
\(564\) | −4.92806 | − | 1.32047i | −0.207509 | − | 0.0556017i | ||||
\(565\) | 5.66127 | − | 21.1282i | 0.238172 | − | 0.888868i | ||||
\(566\) | 19.3912 | + | 72.3688i | 0.815071 | + | 3.04189i | ||||
\(567\) | −0.362619 | + | 2.62078i | −0.0152286 | + | 0.110063i | ||||
\(568\) | 8.83340 | − | 15.2999i | 0.370641 | − | 0.641969i | ||||
\(569\) | 32.9428i | 1.38104i | 0.723316 | + | 0.690518i | \(0.242617\pi\) | ||||
−0.723316 | + | 0.690518i | \(0.757383\pi\) | |||||||
\(570\) | −3.28694 | − | 12.2670i | −0.137675 | − | 0.513808i | ||||
\(571\) | 6.40074 | − | 3.69547i | 0.267862 | − | 0.154650i | −0.360053 | − | 0.932932i | \(-0.617242\pi\) |
0.627916 | + | 0.778281i | \(0.283908\pi\) | |||||||
\(572\) | 2.44513 | + | 8.31348i | 0.102236 | + | 0.347604i | ||||
\(573\) | − | 7.04823i | − | 0.294444i | ||||||
\(574\) | 16.4747 | + | 12.8149i | 0.687640 | + | 0.534882i | ||||
\(575\) | −26.9418 | − | 46.6645i | −1.12355 | − | 1.94605i | ||||
\(576\) | −24.9038 | + | 14.3782i | −1.03766 | + | 0.599093i | ||||
\(577\) | −10.1455 | + | 37.8634i | −0.422362 | + | 1.57627i | 0.347257 | + | 0.937770i | \(0.387113\pi\) |
−0.769618 | + | 0.638505i | \(0.779553\pi\) | |||||||
\(578\) | −28.8340 | + | 28.8340i | −1.19934 | + | 1.19934i | ||||
\(579\) | 22.3236 | + | 5.98160i | 0.927738 | + | 0.248587i | ||||
\(580\) | −103.870 | + | 103.870i | −4.31297 | + | 4.31297i | ||||
\(581\) | 8.04285 | + | 3.39373i | 0.333674 | + | 0.140796i | ||||
\(582\) | 6.14986 | − | 3.55062i | 0.254920 | − | 0.147178i | ||||
\(583\) | −1.55257 | − | 1.55257i | −0.0643009 | − | 0.0643009i | ||||
\(584\) | 59.6371 | + | 103.294i | 2.46780 | + | 4.27435i | ||||
\(585\) | −9.22849 | − | 8.79140i | −0.381551 | − | 0.363480i | ||||
\(586\) | 18.5401 | + | 10.7041i | 0.765886 | + | 0.442184i | ||||
\(587\) | 5.58839 | − | 20.8562i | 0.230658 | − | 0.860826i | −0.749401 | − | 0.662117i | \(-0.769658\pi\) |
0.980058 | − | 0.198709i | \(-0.0636750\pi\) | |||||||
\(588\) | 9.36607 | + | 36.8930i | 0.386250 | + | 1.52144i | ||||
\(589\) | −0.825203 | − | 0.476431i | −0.0340019 | − | 0.0196310i | ||||
\(590\) | −8.11599 | − | 30.2893i | −0.334130 | − | 1.24699i | ||||
\(591\) | 13.7410 | + | 13.7410i | 0.565228 | + | 0.565228i | ||||
\(592\) | −10.5655 | − | 10.5655i | −0.434238 | − | 0.434238i | ||||
\(593\) | −7.82600 | − | 29.2070i | −0.321375 | − | 1.19939i | −0.917906 | − | 0.396799i | \(-0.870121\pi\) |
0.596530 | − | 0.802591i | \(-0.296546\pi\) | |||||||
\(594\) | 1.04392 | + | 0.602706i | 0.0428324 | + | 0.0247293i | ||||
\(595\) | −10.6719 | + | 8.07765i | −0.437505 | + | 0.331152i | ||||
\(596\) | −30.6413 | + | 114.355i | −1.25512 | + | 4.68416i | ||||
\(597\) | −15.4246 | − | 8.90538i | −0.631285 | − | 0.364473i | ||||
\(598\) | −51.1748 | − | 48.7510i | −2.09269 | − | 1.99358i | ||||
\(599\) | 9.06280 | + | 15.6972i | 0.370296 | + | 0.641371i | 0.989611 | − | 0.143771i | \(-0.0459230\pi\) |
−0.619315 | + | 0.785143i | \(0.712590\pi\) | |||||||
\(600\) | 49.6951 | + | 49.6951i | 2.02879 | + | 2.02879i | ||||
\(601\) | −30.9648 | + | 17.8775i | −1.26308 | + | 0.729240i | −0.973669 | − | 0.227965i | \(-0.926793\pi\) |
−0.289411 | + | 0.957205i | \(0.593459\pi\) | |||||||
\(602\) | 47.8490 | − | 36.2174i | 1.95018 | − | 1.47611i | ||||
\(603\) | −4.49370 | + | 4.49370i | −0.182998 | + | 0.182998i | ||||
\(604\) | 73.3283 | + | 19.6483i | 2.98369 | + | 0.799476i | ||||
\(605\) | 27.0077 | − | 27.0077i | 1.09802 | − | 1.09802i | ||||
\(606\) | −1.02047 | + | 3.80846i | −0.0414539 | + | 0.154708i | ||||
\(607\) | 3.30264 | − | 1.90678i | 0.134050 | − | 0.0773937i | −0.431475 | − | 0.902125i | \(-0.642007\pi\) |
0.565525 | + | 0.824731i | \(0.308673\pi\) | |||||||
\(608\) | 14.0418 | + | 24.3211i | 0.569470 | + | 0.986352i | ||||
\(609\) | −7.61409 | − | 18.7302i | −0.308538 | − | 0.758987i | ||||
\(610\) | − | 125.500i | − | 5.08133i | ||||||
\(611\) | 0.954550 | + | 3.24548i | 0.0386170 | + | 0.131298i | ||||
\(612\) | 6.73893 | − | 3.89072i | 0.272405 | − | 0.157273i | ||||
\(613\) | 1.06673 | + | 3.98111i | 0.0430850 | + | 0.160795i | 0.984117 | − | 0.177523i | \(-0.0568085\pi\) |
−0.941032 | + | 0.338319i | \(0.890142\pi\) | |||||||
\(614\) | 62.1811i | 2.50942i | ||||||||
\(615\) | −5.11280 | + | 8.85563i | −0.206168 | + | 0.357094i | ||||
\(616\) | 10.8598 | + | 1.50260i | 0.437556 | + | 0.0605415i | ||||
\(617\) | 4.26184 | + | 15.9054i | 0.171575 | + | 0.640327i | 0.997110 | + | 0.0759754i | \(0.0242070\pi\) |
−0.825535 | + | 0.564351i | \(0.809126\pi\) | |||||||
\(618\) | −9.46225 | + | 35.3136i | −0.380628 | + | 1.42052i | ||||
\(619\) | 9.82581 | + | 2.63282i | 0.394933 | + | 0.105822i | 0.450819 | − | 0.892615i | \(-0.351132\pi\) |
−0.0558866 | + | 0.998437i | \(0.517799\pi\) | |||||||
\(620\) | 13.9042 | 0.558407 | ||||||||
\(621\) | −7.18790 | −0.288440 | ||||||||
\(622\) | −14.5191 | − | 3.89037i | −0.582161 | − | 0.155990i | ||||
\(623\) | 10.7611 | − | 25.5030i | 0.431135 | − | 1.02176i | ||||
\(624\) | 46.5059 | + | 25.3669i | 1.86173 | + | 1.01549i | ||||
\(625\) | −3.14284 | + | 5.44356i | −0.125714 | + | 0.217743i | ||||
\(626\) | 51.1330 | − | 13.7010i | 2.04369 | − | 0.547604i | ||||
\(627\) | 0.291121 | − | 0.504236i | 0.0116263 | − | 0.0201373i | ||||
\(628\) | −40.7146 | − | 70.5198i | −1.62469 | − | 2.81405i | ||||
\(629\) | 1.02907 | + | 1.02907i | 0.0410318 | + | 0.0410318i | ||||
\(630\) | −23.6292 | + | 9.60558i | −0.941409 | + | 0.382696i | ||||
\(631\) | −35.7618 | + | 9.58236i | −1.42366 | + | 0.381468i | −0.886779 | − | 0.462193i | \(-0.847063\pi\) |
−0.536877 | + | 0.843661i | \(0.680396\pi\) | |||||||
\(632\) | 32.0666 | − | 8.59222i | 1.27554 | − | 0.341780i | ||||
\(633\) | 10.0770i | 0.400523i | ||||||||
\(634\) | 66.3156 | + | 38.2873i | 2.63373 | + | 1.52058i | ||||
\(635\) | −17.0361 | + | 17.0361i | −0.676055 | + | 0.676055i | ||||
\(636\) | −27.0120 | −1.07109 | ||||||||
\(637\) | 17.6479 | − | 18.0430i | 0.699236 | − | 0.714891i | ||||
\(638\) | −9.21169 | −0.364694 | ||||||||
\(639\) | −1.33250 | + | 1.33250i | −0.0527131 | + | 0.0527131i | ||||
\(640\) | −109.558 | − | 63.2531i | −4.33064 | − | 2.50030i | ||||
\(641\) | − | 30.1425i | − | 1.19056i | −0.803520 | − | 0.595278i | \(-0.797042\pi\) | ||
0.803520 | − | 0.595278i | \(-0.202958\pi\) | |||||||
\(642\) | −4.97813 | + | 1.33388i | −0.196471 | + | 0.0526442i | ||||
\(643\) | 36.7921 | − | 9.85840i | 1.45094 | − | 0.388778i | 0.554588 | − | 0.832125i | \(-0.312876\pi\) |
0.896350 | + | 0.443348i | \(0.146209\pi\) | |||||||
\(644\) | −95.7964 | + | 38.9425i | −3.77491 | + | 1.53455i | ||||
\(645\) | 20.7892 | + | 20.7892i | 0.818573 | + | 0.818573i | ||||
\(646\) | −2.57054 | − | 4.45230i | −0.101136 | − | 0.175173i | ||||
\(647\) | −19.3901 | + | 33.5847i | −0.762305 | + | 1.32035i | 0.179354 | + | 0.983785i | \(0.442599\pi\) |
−0.941660 | + | 0.336567i | \(0.890734\pi\) | |||||||
\(648\) | 9.05561 | − | 2.42644i | 0.355738 | − | 0.0953197i | ||||
\(649\) | 0.718826 | − | 1.24504i | 0.0282164 | − | 0.0488722i | ||||
\(650\) | 17.3461 | − | 71.6428i | 0.680371 | − | 2.81006i | ||||
\(651\) | −0.744012 | + | 1.76325i | −0.0291601 | + | 0.0691071i | ||||
\(652\) | 46.4600 | + | 12.4489i | 1.81952 | + | 0.487538i | ||||
\(653\) | −13.0170 | −0.509396 | −0.254698 | − | 0.967021i | \(-0.581976\pi\) | ||||
−0.254698 | + | 0.967021i | \(0.581976\pi\) | |||||||
\(654\) | −20.1151 | −0.786564 | ||||||||
\(655\) | 12.5368 | + | 3.35924i | 0.489855 | + | 0.131256i | ||||
\(656\) | 10.9998 | − | 41.0519i | 0.429471 | − | 1.60281i | ||||
\(657\) | −3.29282 | − | 12.2890i | −0.128465 | − | 0.479439i | ||||
\(658\) | 6.70612 | + | 0.927878i | 0.261432 | + | 0.0361725i | ||||
\(659\) | 25.0015 | − | 43.3039i | 0.973921 | − | 1.68688i | 0.290470 | − | 0.956884i | \(-0.406188\pi\) |
0.683451 | − | 0.729996i | \(-0.260478\pi\) | |||||||
\(660\) | 8.49610i | 0.330710i | ||||||||
\(661\) | 3.33584 | + | 12.4495i | 0.129749 | + | 0.484231i | 0.999964 | − | 0.00844118i | \(-0.00268694\pi\) |
−0.870215 | + | 0.492672i | \(0.836020\pi\) | |||||||
\(662\) | −17.9333 | + | 10.3538i | −0.696999 | + | 0.402413i | ||||
\(663\) | −4.52966 | − | 2.47073i | −0.175918 | − | 0.0959553i | ||||
\(664\) | − | 30.9326i | − | 1.20042i | ||||||
\(665\) | 4.63972 | + | 11.4134i | 0.179921 | + | 0.442595i | ||||
\(666\) | 1.38674 | + | 2.40191i | 0.0537353 | + | 0.0930722i | ||||
\(667\) | 47.5704 | − | 27.4648i | 1.84193 | − | 1.06344i | ||||
\(668\) | −0.482758 | + | 1.80168i | −0.0186785 | + | 0.0697090i | ||||
\(669\) | −0.672589 | + | 0.672589i | −0.0260038 | + | 0.0260038i | ||||
\(670\) | −59.1797 | − | 15.8572i | −2.28631 | − | 0.612615i | ||||
\(671\) | 4.06852 | − | 4.06852i | 0.157063 | − | 0.157063i | ||||
\(672\) | 44.9743 | − | 34.0415i | 1.73492 | − | 1.31318i | ||||
\(673\) | 34.5128 | − | 19.9259i | 1.33037 | − | 0.768089i | 0.345013 | − | 0.938598i | \(-0.387875\pi\) |
0.985356 | + | 0.170509i | \(0.0545413\pi\) | |||||||
\(674\) | 6.29029 | + | 6.29029i | 0.242293 | + | 0.242293i | ||||
\(675\) | −3.74822 | − | 6.49210i | −0.144269 | − | 0.249881i | ||||
\(676\) | −3.42724 | − | 70.6059i | −0.131817 | − | 2.71561i | ||||
\(677\) | −3.61272 | − | 2.08580i | −0.138848 | − | 0.0801640i | 0.428967 | − | 0.903320i | \(-0.358878\pi\) |
−0.567815 | + | 0.823156i | \(0.692211\pi\) | |||||||
\(678\) | 4.36755 | − | 16.2999i | 0.167735 | − | 0.625995i | ||||
\(679\) | −5.49307 | + | 4.15775i | −0.210805 | + | 0.159560i | ||||
\(680\) | 41.0723 | + | 23.7131i | 1.57505 | + | 0.909357i | ||||
\(681\) | −6.34800 | − | 23.6911i | −0.243256 | − | 0.907843i | ||||
\(682\) | 0.616546 | + | 0.616546i | 0.0236088 | + | 0.0236088i | ||||
\(683\) | 4.99136 | + | 4.99136i | 0.190989 | + | 0.190989i | 0.796123 | − | 0.605134i | \(-0.206881\pi\) |
−0.605134 | + | 0.796123i | \(0.706881\pi\) | |||||||
\(684\) | −1.85391 | − | 6.91890i | −0.0708862 | − | 0.264551i | ||||
\(685\) | 24.1330 | + | 13.9332i | 0.922075 | + | 0.532360i | ||||
\(686\) | −18.4024 | − | 47.0367i | −0.702609 | − | 1.79587i | ||||
\(687\) | −5.33978 | + | 19.9283i | −0.203725 | + | 0.760314i | ||||
\(688\) | −105.824 | − | 61.0974i | −4.03450 | − | 2.32932i | ||||
\(689\) | 9.32899 | + | 15.2896i | 0.355406 | + | 0.582489i | ||||
\(690\) | −34.6483 | − | 60.0126i | −1.31904 | − | 2.28464i | ||||
\(691\) | −15.9631 | − | 15.9631i | −0.607264 | − | 0.607264i | 0.334966 | − | 0.942230i | \(-0.391275\pi\) |
−0.942230 | + | 0.334966i | \(0.891275\pi\) | |||||||
\(692\) | 43.5627 | − | 25.1510i | 1.65601 | − | 0.956096i | ||||
\(693\) | −1.07742 | − | 0.454625i | −0.0409279 | − | 0.0172698i | ||||
\(694\) | −59.7165 | + | 59.7165i | −2.26681 | + | 2.26681i | ||||
\(695\) | −40.6985 | − | 10.9051i | −1.54378 | − | 0.413655i | ||||
\(696\) | −50.6597 | + | 50.6597i | −1.92025 | + | 1.92025i | ||||
\(697\) | −1.07138 | + | 3.99845i | −0.0405815 | + | 0.151452i | ||||
\(698\) | −28.6337 | + | 16.5317i | −1.08380 | + | 0.625734i | ||||
\(699\) | −11.3684 | − | 19.6906i | −0.429992 | − | 0.744768i | ||||
\(700\) | −85.1270 | − | 66.2161i | −3.21750 | − | 2.50273i | ||||
\(701\) | − | 38.0674i | − | 1.43779i | −0.695120 | − | 0.718894i | \(-0.744649\pi\) | ||
0.695120 | − | 0.718894i | \(-0.255351\pi\) | |||||||
\(702\) | −7.11958 | − | 6.78237i | −0.268711 | − | 0.255984i | ||||
\(703\) | 1.16018 | − | 0.669830i | 0.0437570 | − | 0.0252631i | ||||
\(704\) | −3.28965 | − | 12.2771i | −0.123983 | − | 0.462712i | ||||
\(705\) | 3.31678i | 0.124917i | ||||||||
\(706\) | −40.0960 | + | 69.4484i | −1.50903 | + | 2.61372i | ||||
\(707\) | 0.524251 | − | 3.78896i | 0.0197165 | − | 0.142498i | ||||
\(708\) | −4.57762 | − | 17.0839i | −0.172038 | − | 0.642053i | ||||
\(709\) | −0.469956 | + | 1.75390i | −0.0176496 | + | 0.0658691i | −0.974189 | − | 0.225734i | \(-0.927522\pi\) |
0.956539 | + | 0.291603i | \(0.0941886\pi\) | |||||||
\(710\) | −17.5484 | − | 4.70208i | −0.658579 | − | 0.176466i | ||||
\(711\) | −3.54108 | −0.132801 | ||||||||
\(712\) | −98.0838 | −3.67584 | ||||||||
\(713\) | −5.02216 | − | 1.34568i | −0.188081 | − | 0.0503963i | ||||
\(714\) | −8.23314 | + | 6.23174i | −0.308118 | + | 0.233217i | ||||
\(715\) | 4.80907 | − | 2.93426i | 0.179849 | − | 0.109735i | ||||
\(716\) | −39.7092 | + | 68.7784i | −1.48400 | + | 2.57037i | ||||
\(717\) | −28.3642 | + | 7.60016i | −1.05928 | + | 0.283833i | ||||
\(718\) | 12.6959 | − | 21.9899i | 0.473806 | − | 0.820656i | ||||
\(719\) | 13.7958 | + | 23.8950i | 0.514496 | + | 0.891133i | 0.999859 | + | 0.0168198i | \(0.00535417\pi\) |
−0.485363 | + | 0.874313i | \(0.661312\pi\) | |||||||
\(720\) | 36.7258 | + | 36.7258i | 1.36869 | + | 1.36869i | ||||
\(721\) | 4.86107 | − | 35.1328i | 0.181036 | − | 1.30841i | ||||
\(722\) | 45.4800 | − | 12.1863i | 1.69259 | − | 0.453528i | ||||
\(723\) | 6.55065 | − | 1.75524i | 0.243621 | − | 0.0652781i | ||||
\(724\) | 46.9705i | 1.74564i | ||||||||
\(725\) | 49.6123 | + | 28.6437i | 1.84255 | + | 1.06380i | ||||
\(726\) | 20.8359 | − | 20.8359i | 0.773293 | − | 0.773293i | ||||
\(727\) | 1.57479 | 0.0584058 | 0.0292029 | − | 0.999574i | \(-0.490703\pi\) | ||||
0.0292029 | + | 0.999574i | \(0.490703\pi\) | |||||||
\(728\) | −83.2163 | − | 32.7598i | −3.08420 | − | 1.21416i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 86.7295 | − | 86.7295i | 3.21000 | − | 3.21000i | ||||
\(731\) | 10.3072 | + | 5.95088i | 0.381226 | + | 0.220101i | ||||
\(732\) | − | 70.7850i | − | 2.61629i | ||||||
\(733\) | −37.5443 | + | 10.0600i | −1.38673 | + | 0.371574i | −0.873562 | − | 0.486713i | \(-0.838196\pi\) |
−0.513170 | + | 0.858287i | \(0.671529\pi\) | |||||||
\(734\) | 66.4456 | − | 17.8040i | 2.45255 | − | 0.657159i | ||||
\(735\) | 21.5912 | − | 12.0891i | 0.796403 | − | 0.445912i | ||||
\(736\) | 108.356 | + | 108.356i | 3.99407 | + | 3.99407i | ||||
\(737\) | −1.40445 | − | 2.43259i | −0.0517337 | − | 0.0896055i | ||||
\(738\) | −3.94442 | + | 6.83193i | −0.145196 | + | 0.251487i | ||||
\(739\) | −42.2979 | + | 11.3337i | −1.55595 | + | 0.416917i | −0.931380 | − | 0.364049i | \(-0.881394\pi\) |
−0.624574 | + | 0.780966i | \(0.714727\pi\) | |||||||
\(740\) | −9.77420 | + | 16.9294i | −0.359307 | + | 0.622337i | ||||
\(741\) | −3.27605 | + | 3.43892i | −0.120349 | + | 0.126332i | ||||
\(742\) | 35.5672 | − | 4.44425i | 1.30571 | − | 0.163154i | ||||
\(743\) | 18.3147 | + | 4.90740i | 0.671900 | + | 0.180035i | 0.578610 | − | 0.815604i | \(-0.303595\pi\) |
0.0932893 | + | 0.995639i | \(0.470262\pi\) | |||||||
\(744\) | 6.78140 | 0.248618 | ||||||||
\(745\) | 76.9655 | 2.81980 | ||||||||
\(746\) | 2.76160 | + | 0.739970i | 0.101110 | + | 0.0270922i | ||||
\(747\) | −0.853962 | + | 3.18703i | −0.0312448 | + | 0.116607i | ||||
\(748\) | 0.890174 | + | 3.32217i | 0.0325480 | + | 0.121471i | ||||
\(749\) | 4.63174 | − | 1.88286i | 0.169240 | − | 0.0687984i | ||||
\(750\) | 12.0337 | − | 20.8430i | 0.439409 | − | 0.761078i | ||||
\(751\) | − | 11.4855i | − | 0.419110i | −0.977797 | − | 0.209555i | \(-0.932798\pi\) | ||
0.977797 | − | 0.209555i | \(-0.0672016\pi\) | |||||||
\(752\) | −3.56790 | − | 13.3156i | −0.130108 | − | 0.485570i | ||||
\(753\) | −4.91118 | + | 2.83547i | −0.178973 | + | 0.103330i | ||||
\(754\) | 73.0335 | + | 17.6828i | 2.65972 | + | 0.643971i | ||||
\(755\) | − | 49.3529i | − | 1.79613i | ||||||
\(756\) | −13.3275 | + | 5.41779i | −0.484715 | + | 0.197043i | ||||
\(757\) | 0.505532 | + | 0.875607i | 0.0183739 | + | 0.0318245i | 0.875066 | − | 0.484003i | \(-0.160818\pi\) |
−0.856692 | + | 0.515828i | \(0.827484\pi\) | |||||||
\(758\) | −37.4122 | + | 21.5999i | −1.35887 | + | 0.784545i | ||||
\(759\) | 0.822274 | − | 3.06877i | 0.0298467 | − | 0.111389i | ||||
\(760\) | 30.8700 | − | 30.8700i | 1.11977 | − | 1.11977i | ||||
\(761\) | 44.9154 | + | 12.0351i | 1.62818 | + | 0.436270i | 0.953391 | − | 0.301737i | \(-0.0975666\pi\) |
0.674792 | + | 0.738008i | \(0.264233\pi\) | |||||||
\(762\) | −13.1430 | + | 13.1430i | −0.476119 | + | 0.476119i | ||||
\(763\) | 19.3638 | − | 2.41958i | 0.701017 | − | 0.0875946i | ||||
\(764\) | 33.1909 | − | 19.1628i | 1.20080 | − | 0.693285i | ||||
\(765\) | −3.57709 | − | 3.57709i | −0.129330 | − | 0.129330i | ||||
\(766\) | 35.4216 | + | 61.3520i | 1.27983 | + | 2.21674i | ||||
\(767\) | −8.08910 | + | 8.49127i | −0.292080 | + | 0.306602i | ||||
\(768\) | −34.7137 | − | 20.0419i | −1.25262 | − | 0.723202i | ||||
\(769\) | 10.0112 | − | 37.3624i | 0.361014 | − | 1.34732i | −0.511730 | − | 0.859146i | \(-0.670995\pi\) |
0.872745 | − | 0.488177i | \(-0.162338\pi\) | |||||||
\(770\) | −1.39786 | − | 11.1870i | −0.0503752 | − | 0.403151i | ||||
\(771\) | −1.03401 | − | 0.596987i | −0.0372390 | − | 0.0215000i | ||||
\(772\) | 32.5256 | + | 121.387i | 1.17062 | + | 4.36882i | ||||
\(773\) | −21.0972 | − | 21.0972i | −0.758814 | − | 0.758814i | 0.217293 | − | 0.976107i | \(-0.430277\pi\) |
−0.976107 | + | 0.217293i | \(0.930277\pi\) | |||||||
\(774\) | 16.0384 | + | 16.0384i | 0.576489 | + | 0.576489i | ||||
\(775\) | −1.40345 | − | 5.23773i | −0.0504133 | − | 0.188145i | ||||
\(776\) | 21.1409 | + | 12.2057i | 0.758913 | + | 0.438158i | ||||
\(777\) | −1.62387 | − | 2.14539i | −0.0582559 | − | 0.0769655i | ||||
\(778\) | 16.3412 | − | 60.9862i | 0.585861 | − | 2.18646i | ||||
\(779\) | 3.29998 | + | 1.90525i | 0.118234 | + | 0.0682625i | ||||
\(780\) | 16.3092 | − | 67.3601i | 0.583963 | − | 2.41188i | ||||
\(781\) | −0.416459 | − | 0.721328i | −0.0149021 | − | 0.0258111i | ||||
\(782\) | −19.8361 | − | 19.8361i | −0.709336 | − | 0.709336i | ||||
\(783\) | 6.61812 | − | 3.82097i | 0.236512 | − | 0.136550i | ||||
\(784\) | −73.6760 | + | 71.7590i | −2.63129 | + | 2.56282i | ||||
\(785\) | −37.4326 | + | 37.4326i | −1.33603 | + | 1.33603i | ||||
\(786\) | 9.67191 | + | 2.59158i | 0.344986 | + | 0.0924386i | ||||
\(787\) | 3.12615 | − | 3.12615i | 0.111435 | − | 0.111435i | −0.649191 | − | 0.760626i | \(-0.724892\pi\) |
0.760626 | + | 0.649191i | \(0.224892\pi\) | |||||||
\(788\) | −27.3487 | + | 102.067i | −0.974258 | + | 3.63598i | ||||
\(789\) | −20.8862 | + | 12.0587i | −0.743569 | + | 0.429300i | ||||
\(790\) | −17.0693 | − | 29.5649i | −0.607298 | − | 1.05187i | ||||
\(791\) | −2.24376 | + | 16.2165i | −0.0797788 | + | 0.576591i | ||||
\(792\) | 4.14374i | 0.147241i | ||||||||
\(793\) | −40.0666 | + | 24.4467i | −1.42281 | + | 0.868127i | ||||
\(794\) | −27.9221 | + | 16.1209i | −0.990920 | + | 0.572108i | ||||
\(795\) | 4.54503 | + | 16.9623i | 0.161196 | + | 0.601591i | ||||
\(796\) | − | 96.8480i | − | 3.43269i | ||||||
\(797\) | −8.62284 | + | 14.9352i | −0.305437 | + | 0.529032i | −0.977358 | − | 0.211590i | \(-0.932136\pi\) |
0.671922 | + | 0.740622i | \(0.265469\pi\) | |||||||
\(798\) | 3.57945 | + | 8.80523i | 0.126711 | + | 0.311702i | ||||
\(799\) | 0.347513 | + | 1.29694i | 0.0122941 | + | 0.0458823i | ||||
\(800\) | −41.3636 | + | 154.371i | −1.46243 | + | 5.45785i | ||||
\(801\) | 10.1057 | + | 2.70782i | 0.357068 | + | 0.0956760i | ||||
\(802\) | 56.8121 | 2.00611 | ||||||||
\(803\) | 5.62329 | 0.198442 | ||||||||
\(804\) | −33.3789 | − | 8.94384i | −1.17718 | − | 0.315425i | ||||
\(805\) | 40.5728 | + | 53.6033i | 1.43000 | + | 1.88927i | ||||
\(806\) | −3.70466 | − | 6.07172i | −0.130491 | − | 0.213867i | ||||
\(807\) | −9.22552 | + | 15.9791i | −0.324754 | + | 0.562490i | ||||
\(808\) | −13.0920 | + | 3.50799i | −0.460575 | + | 0.123411i | ||||
\(809\) | −11.7999 | + | 20.4380i | −0.414862 | + | 0.718562i | −0.995414 | − | 0.0956610i | \(-0.969504\pi\) |
0.580552 | + | 0.814223i | \(0.302837\pi\) | |||||||
\(810\) | −4.82036 | − | 8.34912i | −0.169370 | − | 0.293358i | ||||
\(811\) | 16.8186 | + | 16.8186i | 0.590582 | + | 0.590582i | 0.937789 | − | 0.347207i | \(-0.112870\pi\) |
−0.347207 | + | 0.937789i | \(0.612870\pi\) | |||||||
\(812\) | 67.5015 | − | 86.7794i | 2.36884 | − | 3.04536i | ||||
\(813\) | −0.949503 | + | 0.254418i | −0.0333005 | + | 0.00892285i | ||||
\(814\) | −1.18410 | + | 0.317279i | −0.0415027 | + | 0.0111206i | ||||
\(815\) | − | 31.2695i | − | 1.09532i | ||||||
\(816\) | 18.2086 | + | 10.5127i | 0.637428 | + | 0.368019i | ||||
\(817\) | 7.74693 | − | 7.74693i | 0.271031 | − | 0.271031i | ||||
\(818\) | −43.3659 | −1.51625 | ||||||||
\(819\) | 7.66948 | + | 5.67266i | 0.267993 | + | 0.198219i | ||||
\(820\) | −55.6029 | −1.94174 | ||||||||
\(821\) | 12.7007 | − | 12.7007i | 0.443259 | − | 0.443259i | −0.449847 | − | 0.893106i | \(-0.648521\pi\) |
0.893106 | + | 0.449847i | \(0.148521\pi\) | |||||||
\(822\) | 18.6181 | + | 10.7492i | 0.649381 | + | 0.374920i | ||||
\(823\) | 27.7997i | 0.969035i | 0.874782 | + | 0.484518i | \(0.161005\pi\) | ||||
−0.874782 | + | 0.484518i | \(0.838995\pi\) | |||||||
\(824\) | −121.395 | + | 32.5276i | −4.22898 | + | 1.13315i | ||||
\(825\) | 3.20049 | − | 0.857569i | 0.111427 | − | 0.0298567i | ||||
\(826\) | 8.83824 | + | 21.7416i | 0.307522 | + | 0.756486i | ||||
\(827\) | −19.2095 | − | 19.2095i | −0.667980 | − | 0.667980i | 0.289268 | − | 0.957248i | \(-0.406588\pi\) |
−0.957248 | + | 0.289268i | \(0.906588\pi\) | |||||||
\(828\) | −19.5425 | − | 33.8486i | −0.679149 | − | 1.17632i | ||||
\(829\) | 20.1884 | − | 34.9673i | 0.701170 | − | 1.21446i | −0.266885 | − | 0.963728i | \(-0.585995\pi\) |
0.968056 | − | 0.250735i | \(-0.0806722\pi\) | |||||||
\(830\) | −30.7253 | + | 8.23281i | −1.06649 | + | 0.285765i | ||||
\(831\) | −9.02390 | + | 15.6299i | −0.313036 | + | 0.542194i | ||||
\(832\) | 2.51419 | + | 103.652i | 0.0871637 | + | 3.59350i | ||||
\(833\) | 7.17603 | − | 6.98931i | 0.248635 | − | 0.242165i | ||||
\(834\) | −31.3980 | − | 8.41307i | −1.08722 | − | 0.291321i | ||||
\(835\) | 1.21260 | 0.0419638 | ||||||||
\(836\) | 3.16601 | 0.109499 | ||||||||
\(837\) | −0.698697 | − | 0.187215i | −0.0241505 | − | 0.00647111i | ||||
\(838\) | −3.49759 | + | 13.0532i | −0.120822 | + | 0.450915i | ||||
\(839\) | −3.20470 | − | 11.9601i | −0.110638 | − | 0.412908i | 0.888285 | − | 0.459292i | \(-0.151897\pi\) |
−0.998924 | + | 0.0463840i | \(0.985230\pi\) | |||||||
\(840\) | −69.2104 | − | 53.8354i | −2.38799 | − | 1.85750i | ||||
\(841\) | −14.6997 | + | 25.4606i | −0.506885 | + | 0.877951i | ||||
\(842\) | − | 3.12877i | − | 0.107824i | ||||||
\(843\) | −5.64367 | − | 21.0624i | −0.194378 | − | 0.725429i | ||||
\(844\) | −47.4535 | + | 27.3973i | −1.63342 | + | 0.943055i | ||||
\(845\) | −43.7606 | + | 14.0323i | −1.50541 | + | 0.482725i | ||||
\(846\) | 2.55882i | 0.0879741i | ||||||||
\(847\) | −17.5514 | + | 22.5639i | −0.603072 | + | 0.775306i | ||||
\(848\) | −36.4932 | − | 63.2080i | −1.25318 | − | 2.17057i | ||||
\(849\) | 23.7915 | − | 13.7360i | 0.816521 | − | 0.471419i | ||||
\(850\) | 7.57215 | − | 28.2597i | 0.259723 | − | 0.969298i | ||||
\(851\) | 5.16888 | − | 5.16888i | 0.177187 | − | 0.177187i | ||||
\(852\) | −9.89773 | − | 2.65209i | −0.339091 | − | 0.0908591i | ||||
\(853\) | 30.9345 | − | 30.9345i | 1.05918 | − | 1.05918i | 0.0610421 | − | 0.998135i | \(-0.480558\pi\) |
0.998135 | − | 0.0610421i | \(-0.0194424\pi\) | |||||||
\(854\) | 11.6462 | + | 93.2040i | 0.398524 | + | 3.18937i | ||||
\(855\) | −4.03282 | + | 2.32835i | −0.137919 | + | 0.0796279i | ||||
\(856\) | −12.5275 | − | 12.5275i | −0.428181 | − | 0.428181i | ||||
\(857\) | 4.46536 | + | 7.73423i | 0.152534 | + | 0.264196i | 0.932158 | − | 0.362051i | \(-0.117923\pi\) |
−0.779624 | + | 0.626247i | \(0.784590\pi\) | |||||||
\(858\) | 3.71009 | − | 2.26372i | 0.126661 | − | 0.0772820i | ||||
\(859\) | 21.5650 | + | 12.4506i | 0.735789 | + | 0.424808i | 0.820536 | − | 0.571594i | \(-0.193675\pi\) |
−0.0847471 | + | 0.996402i | \(0.527008\pi\) | |||||||
\(860\) | −41.3768 | + | 154.420i | −1.41094 | + | 5.26569i | ||||
\(861\) | 2.97530 | − | 7.05121i | 0.101398 | − | 0.240305i | ||||
\(862\) | −48.4163 | − | 27.9532i | −1.64907 | − | 0.952089i | ||||
\(863\) | 4.57987 | + | 17.0923i | 0.155900 | + | 0.581829i | 0.999027 | + | 0.0441126i | \(0.0140460\pi\) |
−0.843126 | + | 0.537716i | \(0.819287\pi\) | |||||||
\(864\) | 15.0748 | + | 15.0748i | 0.512857 | + | 0.512857i | ||||
\(865\) | −23.1235 | − | 23.1235i | −0.786223 | − | 0.786223i | ||||
\(866\) | 0.347450 | + | 1.29670i | 0.0118068 | + | 0.0440638i | ||||
\(867\) | 12.9489 | + | 7.47606i | 0.439768 | + | 0.253900i | ||||
\(868\) | −10.3261 | + | 1.29029i | −0.350492 | + | 0.0437953i | ||||
\(869\) | 0.405088 | − | 1.51181i | 0.0137417 | − | 0.0512847i | ||||
\(870\) | 63.8035 | + | 36.8370i | 2.16314 | + | 1.24889i | ||||
\(871\) | 6.46539 | + | 21.9824i | 0.219071 | + | 0.744845i | ||||
\(872\) | −34.5740 | − | 59.8840i | −1.17082 | − | 2.02793i | ||||
\(873\) | −1.84121 | − | 1.84121i | −0.0623154 | − | 0.0623154i | ||||
\(874\) | −22.3632 | + | 12.9114i | −0.756447 | + | 0.436735i | ||||
\(875\) | −9.07710 | + | 21.5120i | −0.306862 | + | 0.727237i | ||||
\(876\) | 48.9177 | − | 48.9177i | 1.65277 | − | 1.65277i | ||||
\(877\) | −2.49405 | − | 0.668278i | −0.0842180 | − | 0.0225662i | 0.216464 | − | 0.976291i | \(-0.430548\pi\) |
−0.300682 | + | 0.953724i | \(0.597214\pi\) | |||||||
\(878\) | 43.1547 | − | 43.1547i | 1.45640 | − | 1.45640i | ||||
\(879\) | 2.03171 | − | 7.58244i | 0.0685278 | − | 0.255749i | ||||
\(880\) | −19.8809 | + | 11.4782i | −0.670184 | + | 0.386931i | ||||
\(881\) | −5.24887 | − | 9.09131i | −0.176839 | − | 0.306294i | 0.763957 | − | 0.645267i | \(-0.223254\pi\) |
−0.940796 | + | 0.338973i | \(0.889921\pi\) | |||||||
\(882\) | 16.6571 | − | 9.32646i | 0.560875 | − | 0.314038i | ||||
\(883\) | 0.987737i | 0.0332400i | 0.999862 | + | 0.0166200i | \(0.00529056\pi\) | ||||
−0.999862 | + | 0.0166200i | \(0.994709\pi\) | |||||||
\(884\) | −0.680334 | − | 28.0481i | −0.0228821 | − | 0.943361i | ||||
\(885\) | −9.95770 | + | 5.74908i | −0.334724 | + | 0.193253i | ||||
\(886\) | −6.73975 | − | 25.1531i | −0.226426 | − | 0.845035i | ||||
\(887\) | − | 39.8664i | − | 1.33858i | −0.743001 | − | 0.669291i | \(-0.766598\pi\) | ||
0.743001 | − | 0.669291i | \(-0.233402\pi\) | |||||||
\(888\) | −4.76709 | + | 8.25685i | −0.159973 | + | 0.277082i | ||||
\(889\) | 11.0711 | − | 14.2330i | 0.371314 | − | 0.477358i | ||||
\(890\) | 26.1053 | + | 97.4264i | 0.875052 | + | 3.26574i | ||||
\(891\) | 0.114397 | − | 0.426935i | 0.00383244 | − | 0.0143029i | ||||
\(892\) | −4.99594 | − | 1.33866i | −0.167276 | − | 0.0448216i | ||||
\(893\) | 1.23597 | 0.0413602 | ||||||||
\(894\) | 59.3772 | 1.98587 | ||||||||
\(895\) | 49.8712 | + | 13.3629i | 1.66701 | + | 0.446674i | ||||
\(896\) | 87.2341 | + | 36.8090i | 2.91429 | + | 1.22970i | ||||
\(897\) | −12.4101 | + | 22.7518i | −0.414362 | + | 0.759661i | ||||
\(898\) | −24.2635 | + | 42.0256i | −0.809684 | + | 1.40241i | ||||
\(899\) | 5.33940 | − | 1.43069i | 0.178079 | − | 0.0477162i | ||||
\(900\) | 20.3814 | − | 35.3015i | 0.679378 | − | 1.17672i | ||||
\(901\) | 3.55443 | + | 6.15645i | 0.118415 | + | 0.205101i | ||||
\(902\) | −2.46556 | − | 2.46556i | −0.0820943 | − | 0.0820943i | ||||
\(903\) | −17.3686 | − | 13.5102i | −0.577990 | − | 0.449590i | ||||
\(904\) | 56.0329 | − | 15.0140i | 1.86362 | − | 0.499357i | ||||
\(905\) | 29.4953 | − | 7.90325i | 0.980458 | − | 0.262713i | ||||
\(906\) | − | 38.0747i | − | 1.26495i | ||||||
\(907\) | 7.90175 | + | 4.56208i | 0.262373 | + | 0.151481i | 0.625417 | − | 0.780291i | \(-0.284929\pi\) |
−0.363043 | + | 0.931772i | \(0.618262\pi\) | |||||||
\(908\) | 94.3048 | − | 94.3048i | 3.12962 | − | 3.12962i | ||||
\(909\) | 1.44573 | 0.0479520 | ||||||||
\(910\) | −10.3920 | + | 91.3777i | −0.344490 | + | 3.02914i | ||||
\(911\) | 28.0053 | 0.927856 | 0.463928 | − | 0.885873i | \(-0.346440\pi\) | ||||
0.463928 | + | 0.885873i | \(0.346440\pi\) | |||||||
\(912\) | 13.6856 | − | 13.6856i | 0.453175 | − | 0.453175i | ||||
\(913\) | −1.26296 | − | 0.729173i | −0.0417980 | − | 0.0241321i | ||||
\(914\) | 75.1299i | 2.48508i | ||||||||
\(915\) | −44.4498 | + | 11.9103i | −1.46946 | + | 0.393742i | ||||
\(916\) | −108.363 | + | 29.0357i | −3.58040 | + | 0.959366i | ||||
\(917\) | −9.62239 | − | 1.33138i | −0.317759 | − | 0.0439661i | ||||
\(918\) | −2.75965 | − | 2.75965i | −0.0910819 | − | 0.0910819i | ||||
\(919\) | −6.25029 | − | 10.8258i | −0.206178 | − | 0.357111i | 0.744329 | − | 0.667813i | \(-0.232769\pi\) |
−0.950507 | + | 0.310702i | \(0.899436\pi\) | |||||||
\(920\) | 119.107 | − | 206.300i | 3.92686 | − | 6.80151i | ||||
\(921\) | 22.0234 | − | 5.90116i | 0.725697 | − | 0.194450i | ||||
\(922\) | −14.2466 | + | 24.6758i | −0.469186 | + | 0.812654i | ||||
\(923\) | 1.91716 | + | 6.51838i | 0.0631042 | + | 0.214555i | ||||
\(924\) | −0.788426 | − | 6.30974i | −0.0259373 | − | 0.207575i | ||||
\(925\) | 7.36390 | + | 1.97315i | 0.242124 | + | 0.0648768i | ||||
\(926\) | −41.3808 | −1.35986 | ||||||||
\(927\) | 13.4054 | 0.440293 | ||||||||
\(928\) | −157.368 | − | 42.1666i | −5.16585 | − | 1.38418i | ||||
\(929\) | −6.56236 | + | 24.4911i | −0.215304 | + | 0.803525i | 0.770755 | + | 0.637131i | \(0.219879\pi\) |
−0.986059 | + | 0.166394i | \(0.946788\pi\) | |||||||
\(930\) | −1.80489 | − | 6.73595i | −0.0591847 | − | 0.220880i | ||||
\(931\) | −4.50490 | − | 8.04579i | −0.147642 | − | 0.263690i | ||||
\(932\) | 61.8169 | − | 107.070i | 2.02488 | − | 3.50719i | ||||
\(933\) | 5.51160i | 0.180442i | ||||||||
\(934\) | 10.0088 | + | 37.3533i | 0.327497 | + | 1.22224i | ||||
\(935\) | 1.93639 | − | 1.11798i | 0.0633269 | − | 0.0365618i | ||||
\(936\) | 7.95436 | − | 32.8530i | 0.259996 | − | 1.07383i | ||||
\(937\) | − | 27.8676i | − | 0.910396i | −0.890390 | − | 0.455198i | \(-0.849569\pi\) | ||
0.890390 | − | 0.455198i | \(-0.150431\pi\) | |||||||
\(938\) | 45.4221 | + | 6.28474i | 1.48308 | + | 0.205204i | ||||
\(939\) | −9.70534 | − | 16.8101i | −0.316722 | − | 0.548578i | ||||
\(940\) | −15.6191 | + | 9.01768i | −0.509438 | + | 0.294124i | ||||
\(941\) | −3.72461 | + | 13.9004i | −0.121419 | + | 0.453141i | −0.999687 | − | 0.0250276i | \(-0.992033\pi\) |
0.878268 | + | 0.478169i | \(0.158699\pi\) | |||||||
\(942\) | −28.8784 | + | 28.8784i | −0.940910 | + | 0.940910i | ||||
\(943\) | 20.0836 | + | 5.38139i | 0.654012 | + | 0.175242i | ||||
\(944\) | 33.7920 | − | 33.7920i | 1.09984 | − | 1.09984i | ||||
\(945\) | 5.64460 | + | 7.45744i | 0.183619 | + | 0.242591i | ||||
\(946\) | −8.68211 | + | 5.01262i | −0.282280 | + | 0.162974i | ||||
\(947\) | −9.13292 | − | 9.13292i | −0.296780 | − | 0.296780i | 0.542971 | − | 0.839751i | \(-0.317299\pi\) |
−0.839751 | + | 0.542971i | \(0.817299\pi\) | |||||||
\(948\) | −9.62750 | − | 16.6753i | −0.312687 | − | 0.541589i | ||||
\(949\) | −44.5834 | − | 10.7945i | −1.44724 | − | 0.350405i | ||||
\(950\) | −23.3231 | − | 13.4656i | −0.756703 | − | 0.436882i | ||||
\(951\) | 7.26716 | − | 27.1214i | 0.235654 | − | 0.879472i | ||||
\(952\) | −32.7035 | − | 13.7994i | −1.05992 | − | 0.447241i | ||||
\(953\) | −52.8130 | − | 30.4916i | −1.71078 | − | 0.987720i | −0.933507 | − | 0.358559i | \(-0.883268\pi\) |
−0.777275 | − | 0.629161i | \(-0.783399\pi\) | |||||||
\(954\) | 3.50640 | + | 13.0860i | 0.113524 | + | 0.423676i | ||||
\(955\) | −17.6181 | − | 17.6181i | −0.570107 | − | 0.570107i | ||||
\(956\) | −112.907 | − | 112.907i | −3.65167 | − | 3.65167i | ||||
\(957\) | 0.874216 | + | 3.26262i | 0.0282594 | + | 0.105465i | ||||
\(958\) | −59.2734 | − | 34.2215i | −1.91504 | − | 1.10565i | ||||
\(959\) | −19.2157 | − | 8.10817i | −0.620507 | − | 0.261826i | ||||
\(960\) | −26.3102 | + | 98.1911i | −0.849159 | + | 3.16910i | ||||
\(961\) | 26.3937 | + | 15.2384i | 0.851408 | + | 0.491561i | ||||
\(962\) | 9.99702 | − | 0.242487i | 0.322317 | − | 0.00781810i | ||||
\(963\) | 0.944877 | + | 1.63658i | 0.0304482 | + | 0.0527379i | ||||
\(964\) | 26.0756 | + | 26.0756i | 0.839838 | + | 0.839838i | ||||
\(965\) | 70.7530 | − | 40.8492i | 2.27762 | − | 1.31498i | ||||
\(966\) | 31.3011 | + | 41.3538i | 1.00710 | + | 1.33054i | ||||
\(967\) | 33.5388 | − | 33.5388i | 1.07853 | − | 1.07853i | 0.0818928 | − | 0.996641i | \(-0.473903\pi\) |
0.996641 | − | 0.0818928i | \(-0.0260965\pi\) | |||||||
\(968\) | 97.8426 | + | 26.2169i | 3.14478 | + | 0.842642i | ||||
\(969\) | −1.33297 | + | 1.33297i | −0.0428213 | + | 0.0428213i | ||||
\(970\) | 6.49717 | − | 24.2478i | 0.208611 | − | 0.778548i | ||||
\(971\) | 11.8250 | − | 6.82715i | 0.379481 | − | 0.219094i | −0.298111 | − | 0.954531i | \(-0.596357\pi\) |
0.677593 | + | 0.735437i | \(0.263023\pi\) | |||||||
\(972\) | −2.71881 | − | 4.70911i | −0.0872058 | − | 0.151045i | ||||
\(973\) | 31.2372 | + | 4.32208i | 1.00142 | + | 0.138559i | ||||
\(974\) | 66.1857i | 2.12073i | ||||||||
\(975\) | −27.0208 | + | 0.655415i | −0.865359 | + | 0.0209901i | ||||
\(976\) | 165.637 | − | 95.6305i | 5.30191 | − | 3.06106i | ||||
\(977\) | −7.88141 | − | 29.4138i | −0.252149 | − | 0.941032i | −0.969654 | − | 0.244479i | \(-0.921383\pi\) |
0.717506 | − | 0.696553i | \(-0.245284\pi\) | |||||||
\(978\) | − | 24.1237i | − | 0.771391i | ||||||
\(979\) | −2.31213 | + | 4.00472i | −0.0738959 | + | 0.127991i | ||||
\(980\) | 115.631 | + | 68.8075i | 3.69370 | + | 2.19797i | ||||
\(981\) | 1.90898 | + | 7.12442i | 0.0609491 | + | 0.227465i | ||||
\(982\) | −7.88981 | + | 29.4452i | −0.251774 | + | 0.939633i | ||||
\(983\) | −3.36354 | − | 0.901257i | −0.107280 | − | 0.0287456i | 0.204780 | − | 0.978808i | \(-0.434352\pi\) |
−0.312060 | + | 0.950062i | \(0.601019\pi\) | |||||||
\(984\) | −27.1188 | −0.864515 | ||||||||
\(985\) | 68.6950 | 2.18881 | ||||||||
\(986\) | 28.8082 | + | 7.71914i | 0.917440 | + | 0.245827i | ||||
\(987\) | −0.307792 | − | 2.46325i | −0.00979713 | − | 0.0784060i | ||||
\(988\) | −25.1012 | − | 6.07750i | −0.798576 | − | 0.193351i | ||||
\(989\) | 29.8904 | − | 51.7716i | 0.950458 | − | 1.64624i | ||||
\(990\) | 4.11597 | − | 1.10287i | 0.130814 | − | 0.0350515i | ||||
\(991\) | 13.5061 | − | 23.3933i | 0.429036 | − | 0.743113i | −0.567751 | − | 0.823200i | \(-0.692187\pi\) |
0.996788 | + | 0.0800871i | \(0.0255199\pi\) | |||||||
\(992\) | 7.71051 | + | 13.3550i | 0.244809 | + | 0.424021i | ||||
\(993\) | 5.36907 | + | 5.36907i | 0.170382 | + | 0.170382i | ||||
\(994\) | 13.4689 | + | 1.86359i | 0.427207 | + | 0.0591096i | ||||
\(995\) | −60.8162 | + | 16.2956i | −1.92800 | + | 0.516607i | ||||
\(996\) | −17.3298 | + | 4.64352i | −0.549117 | + | 0.147135i | ||||
\(997\) | 20.9195i | 0.662526i | 0.943538 | + | 0.331263i | \(0.107475\pi\) | ||||
−0.943538 | + | 0.331263i | \(0.892525\pi\) | |||||||
\(998\) | −93.1950 | − | 53.8061i | −2.95004 | − | 1.70320i | ||||
\(999\) | 0.719109 | − | 0.719109i | 0.0227516 | − | 0.0227516i |
(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 | 273.2.bt.a.145.9 | ✓ | 36 | |
3.2 | odd | 2 | 819.2.et.c.145.1 | 36 | |||
7.3 | odd | 6 | 273.2.cg.a.262.9 | yes | 36 | ||
13.7 | odd | 12 | 273.2.cg.a.124.9 | yes | 36 | ||
21.17 | even | 6 | 819.2.gh.c.262.1 | 36 | |||
39.20 | even | 12 | 819.2.gh.c.397.1 | 36 | |||
91.59 | even | 12 | inner | 273.2.bt.a.241.9 | yes | 36 | |
273.59 | odd | 12 | 819.2.et.c.514.1 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.9 | ✓ | 36 | 1.1 | even | 1 | trivial | |
273.2.bt.a.241.9 | yes | 36 | 91.59 | even | 12 | inner | |
273.2.cg.a.124.9 | yes | 36 | 13.7 | odd | 12 | ||
273.2.cg.a.262.9 | yes | 36 | 7.3 | odd | 6 | ||
819.2.et.c.145.1 | 36 | 3.2 | odd | 2 | |||
819.2.et.c.514.1 | 36 | 273.59 | odd | 12 | |||
819.2.gh.c.262.1 | 36 | 21.17 | even | 6 | |||
819.2.gh.c.397.1 | 36 | 39.20 | even | 12 |