Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(131,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.z (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: | \(4.35983195036\) |
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 | 131.5 | ||
Character | \(\chi\) | \(=\) | 546.131 |
Dual form | 546.2.z.a.521.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0.115738 | + | 1.72818i | 0.0668211 | + | 0.997765i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.85995 | + | 3.22152i | −0.831794 | + | 1.44071i | 0.0648203 | + | 0.997897i | \(0.479353\pi\) |
−0.896614 | + | 0.442812i | \(0.853981\pi\) | |||||||
\(6\) | 0.763858 | − | 1.55452i | 0.311844 | − | 0.634629i | ||||
\(7\) | −1.49982 | − | 2.17958i | −0.566877 | − | 0.823803i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.97321 | + | 0.400031i | −0.991070 | + | 0.133344i | ||||
\(10\) | 3.22152 | − | 1.85995i | 1.01874 | − | 0.588167i | ||||
\(11\) | 0.553597 | − | 0.319619i | 0.166916 | − | 0.0963689i | −0.414215 | − | 0.910179i | \(-0.635944\pi\) |
0.581131 | + | 0.813810i | \(0.302610\pi\) | |||||||
\(12\) | −1.43878 | + | 0.964322i | −0.415340 | + | 0.278376i | ||||
\(13\) | 1.00000i | 0.277350i | ||||||||
\(14\) | 0.209090 | + | 2.63748i | 0.0558815 | + | 0.704895i | ||||
\(15\) | −5.78264 | − | 2.84147i | −1.49307 | − | 0.733665i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | 3.63964 | + | 6.30404i | 0.882742 | + | 1.52895i | 0.848280 | + | 0.529548i | \(0.177638\pi\) |
0.0344615 | + | 0.999406i | \(0.489028\pi\) | |||||||
\(18\) | 2.77489 | + | 1.14017i | 0.654048 | + | 0.268740i | ||||
\(19\) | −4.62720 | − | 2.67151i | −1.06155 | − | 0.612887i | −0.135691 | − | 0.990751i | \(-0.543325\pi\) |
−0.925861 | + | 0.377864i | \(0.876659\pi\) | |||||||
\(20\) | −3.71990 | −0.831794 | ||||||||
\(21\) | 3.59312 | − | 2.84421i | 0.784082 | − | 0.620657i | ||||
\(22\) | −0.639239 | −0.136286 | ||||||||
\(23\) | −4.07685 | − | 2.35377i | −0.850083 | − | 0.490795i | 0.0105961 | − | 0.999944i | \(-0.496627\pi\) |
−0.860679 | + | 0.509148i | \(0.829960\pi\) | |||||||
\(24\) | 1.72818 | − | 0.115738i | 0.352763 | − | 0.0236248i | ||||
\(25\) | −4.41881 | − | 7.65361i | −0.883762 | − | 1.53072i | ||||
\(26\) | 0.500000 | − | 0.866025i | 0.0980581 | − | 0.169842i | ||||
\(27\) | −1.03544 | − | 5.09194i | −0.199270 | − | 0.979945i | ||||
\(28\) | 1.13766 | − | 2.38867i | 0.214998 | − | 0.451415i | ||||
\(29\) | − | 2.98058i | − | 0.553479i | −0.960945 | − | 0.276740i | \(-0.910746\pi\) | ||
0.960945 | − | 0.276740i | \(-0.0892540\pi\) | |||||||
\(30\) | 3.58718 | + | 5.35211i | 0.654926 | + | 0.977156i | ||||
\(31\) | 0.608107 | − | 0.351091i | 0.109219 | − | 0.0630577i | −0.444395 | − | 0.895831i | \(-0.646581\pi\) |
0.553615 | + | 0.832773i | \(0.313248\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0.616432 | + | 0.919723i | 0.107307 | + | 0.160103i | ||||
\(34\) | − | 7.27927i | − | 1.24839i | ||||||
\(35\) | 9.81114 | − | 0.777791i | 1.65838 | − | 0.131471i | ||||
\(36\) | −1.83304 | − | 2.37486i | −0.305507 | − | 0.395810i | ||||
\(37\) | 5.21987 | − | 9.04107i | 0.858141 | − | 1.48634i | −0.0155596 | − | 0.999879i | \(-0.504953\pi\) |
0.873700 | − | 0.486465i | \(-0.161714\pi\) | |||||||
\(38\) | 2.67151 | + | 4.62720i | 0.433377 | + | 0.750630i | ||||
\(39\) | −1.72818 | + | 0.115738i | −0.276730 | + | 0.0185328i | ||||
\(40\) | 3.22152 | + | 1.85995i | 0.509368 | + | 0.294084i | ||||
\(41\) | −11.6843 | −1.82478 | −0.912389 | − | 0.409325i | \(-0.865764\pi\) | ||||
−0.912389 | + | 0.409325i | \(0.865764\pi\) | |||||||
\(42\) | −4.53383 | + | 0.666599i | −0.699586 | + | 0.102859i | ||||
\(43\) | −3.57757 | −0.545574 | −0.272787 | − | 0.962075i | \(-0.587945\pi\) | ||||
−0.272787 | + | 0.962075i | \(0.587945\pi\) | |||||||
\(44\) | 0.553597 | + | 0.319619i | 0.0834579 | + | 0.0481844i | ||||
\(45\) | 4.24131 | − | 10.3223i | 0.632257 | − | 1.53876i | ||||
\(46\) | 2.35377 | + | 4.07685i | 0.347045 | + | 0.601099i | ||||
\(47\) | 3.53495 | − | 6.12272i | 0.515626 | − | 0.893090i | −0.484210 | − | 0.874952i | \(-0.660893\pi\) |
0.999835 | − | 0.0181379i | \(-0.00577380\pi\) | |||||||
\(48\) | −1.55452 | − | 0.763858i | −0.224375 | − | 0.110253i | ||||
\(49\) | −2.50111 | + | 6.53792i | −0.357301 | + | 0.933989i | ||||
\(50\) | 8.83762i | 1.24983i | ||||||||
\(51\) | −10.4733 | + | 7.01956i | −1.46655 | + | 0.982935i | ||||
\(52\) | −0.866025 | + | 0.500000i | −0.120096 | + | 0.0693375i | ||||
\(53\) | −6.65923 | + | 3.84471i | −0.914715 | + | 0.528111i | −0.881945 | − | 0.471352i | \(-0.843766\pi\) |
−0.0327700 | + | 0.999463i | \(0.510433\pi\) | |||||||
\(54\) | −1.64926 | + | 4.92747i | −0.224435 | + | 0.670544i | ||||
\(55\) | 2.37790i | 0.320636i | ||||||||
\(56\) | −2.17958 | + | 1.49982i | −0.291258 | + | 0.200421i | ||||
\(57\) | 4.08131 | − | 8.30582i | 0.540583 | − | 1.10013i | ||||
\(58\) | −1.49029 | + | 2.58126i | −0.195684 | + | 0.338935i | ||||
\(59\) | 1.35119 | + | 2.34033i | 0.175910 | + | 0.304685i | 0.940476 | − | 0.339861i | \(-0.110380\pi\) |
−0.764566 | + | 0.644546i | \(0.777047\pi\) | |||||||
\(60\) | −0.430532 | − | 6.42865i | −0.0555814 | − | 0.829935i | ||||
\(61\) | 10.0041 | + | 5.77587i | 1.28089 | + | 0.739524i | 0.977012 | − | 0.213186i | \(-0.0683841\pi\) |
0.303881 | + | 0.952710i | \(0.401717\pi\) | |||||||
\(62\) | −0.702181 | −0.0891771 | ||||||||
\(63\) | 5.33116 | + | 5.88037i | 0.671663 | + | 0.740857i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −3.22152 | − | 1.85995i | −0.399581 | − | 0.230698i | ||||
\(66\) | −0.0739840 | − | 1.10472i | −0.00910680 | − | 0.135982i | ||||
\(67\) | −1.15384 | − | 1.99852i | −0.140965 | − | 0.244158i | 0.786896 | − | 0.617086i | \(-0.211687\pi\) |
−0.927860 | + | 0.372928i | \(0.878354\pi\) | |||||||
\(68\) | −3.63964 | + | 6.30404i | −0.441371 | + | 0.764477i | ||||
\(69\) | 3.59590 | − | 7.31796i | 0.432895 | − | 0.880978i | ||||
\(70\) | −8.88559 | − | 4.23198i | −1.06203 | − | 0.505819i | ||||
\(71\) | 10.9092i | 1.29468i | 0.762201 | + | 0.647340i | \(0.224119\pi\) | ||||
−0.762201 | + | 0.647340i | \(0.775881\pi\) | |||||||
\(72\) | 0.400031 | + | 2.97321i | 0.0471441 | + | 0.350396i | ||||
\(73\) | −8.28825 | + | 4.78522i | −0.970066 | + | 0.560068i | −0.899256 | − | 0.437422i | \(-0.855892\pi\) |
−0.0708097 | + | 0.997490i | \(0.522558\pi\) | |||||||
\(74\) | −9.04107 | + | 5.21987i | −1.05100 | + | 0.606797i | ||||
\(75\) | 12.7154 | − | 8.52231i | 1.46825 | − | 0.984072i | ||||
\(76\) | − | 5.34303i | − | 0.612887i | ||||||
\(77\) | −1.52693 | − | 0.727237i | −0.174010 | − | 0.0828764i | ||||
\(78\) | 1.55452 | + | 0.763858i | 0.176014 | + | 0.0864899i | ||||
\(79\) | −5.00806 | + | 8.67422i | −0.563451 | + | 0.975926i | 0.433741 | + | 0.901038i | \(0.357193\pi\) |
−0.997192 | + | 0.0748885i | \(0.976140\pi\) | |||||||
\(80\) | −1.85995 | − | 3.22152i | −0.207948 | − | 0.360177i | ||||
\(81\) | 8.67995 | − | 2.37875i | 0.964439 | − | 0.264306i | ||||
\(82\) | 10.1189 | + | 5.84214i | 1.11744 | + | 0.645156i | ||||
\(83\) | −6.70374 | −0.735831 | −0.367916 | − | 0.929859i | \(-0.619928\pi\) | ||||
−0.367916 | + | 0.929859i | \(0.619928\pi\) | |||||||
\(84\) | 4.25971 | + | 1.68962i | 0.464773 | + | 0.184353i | ||||
\(85\) | −27.0781 | −2.93704 | ||||||||
\(86\) | 3.09826 | + | 1.78878i | 0.334094 | + | 0.192889i | ||||
\(87\) | 5.15097 | − | 0.344965i | 0.552242 | − | 0.0369841i | ||||
\(88\) | −0.319619 | − | 0.553597i | −0.0340716 | − | 0.0590137i | ||||
\(89\) | −1.95052 | + | 3.37839i | −0.206754 | + | 0.358109i | −0.950690 | − | 0.310142i | \(-0.899623\pi\) |
0.743936 | + | 0.668251i | \(0.232957\pi\) | |||||||
\(90\) | −8.83423 | + | 6.81872i | −0.931210 | + | 0.718757i | ||||
\(91\) | 2.17958 | − | 1.49982i | 0.228482 | − | 0.157223i | ||||
\(92\) | − | 4.70754i | − | 0.490795i | ||||||
\(93\) | 0.677129 | + | 1.01028i | 0.0702150 | + | 0.104762i | ||||
\(94\) | −6.12272 | + | 3.53495i | −0.631510 | + | 0.364602i | ||||
\(95\) | 17.2127 | − | 9.93775i | 1.76598 | − | 1.01959i | ||||
\(96\) | 0.964322 | + | 1.43878i | 0.0984207 | + | 0.146845i | ||||
\(97\) | 3.50071i | 0.355443i | 0.984081 | + | 0.177721i | \(0.0568726\pi\) | ||||
−0.984081 | + | 0.177721i | \(0.943127\pi\) | |||||||
\(98\) | 5.43499 | − | 4.41145i | 0.549017 | − | 0.445624i | ||||
\(99\) | −1.51810 | + | 1.17175i | −0.152575 | + | 0.117765i | ||||
\(100\) | 4.41881 | − | 7.65361i | 0.441881 | − | 0.765361i | ||||
\(101\) | −0.886720 | − | 1.53584i | −0.0882319 | − | 0.152822i | 0.818532 | − | 0.574461i | \(-0.194788\pi\) |
−0.906764 | + | 0.421639i | \(0.861455\pi\) | |||||||
\(102\) | 12.5799 | − | 0.842486i | 1.24560 | − | 0.0834185i | ||||
\(103\) | 7.16629 | + | 4.13746i | 0.706115 | + | 0.407676i | 0.809621 | − | 0.586953i | \(-0.199673\pi\) |
−0.103506 | + | 0.994629i | \(0.533006\pi\) | |||||||
\(104\) | 1.00000 | 0.0980581 | ||||||||
\(105\) | 2.47968 | + | 16.8654i | 0.241992 | + | 1.64589i | ||||
\(106\) | 7.68941 | 0.746862 | ||||||||
\(107\) | −14.4332 | − | 8.33299i | −1.39531 | − | 0.805580i | −0.401410 | − | 0.915898i | \(-0.631480\pi\) |
−0.993896 | + | 0.110318i | \(0.964813\pi\) | |||||||
\(108\) | 3.89203 | − | 3.44269i | 0.374511 | − | 0.331273i | ||||
\(109\) | 5.02724 | + | 8.70744i | 0.481523 | + | 0.834022i | 0.999775 | − | 0.0212061i | \(-0.00675061\pi\) |
−0.518253 | + | 0.855228i | \(0.673417\pi\) | |||||||
\(110\) | 1.18895 | − | 2.05932i | 0.113362 | − | 0.196349i | ||||
\(111\) | 16.2287 | + | 7.97447i | 1.54036 | + | 0.756904i | ||||
\(112\) | 2.63748 | − | 0.209090i | 0.249218 | − | 0.0197571i | ||||
\(113\) | 9.55689i | 0.899036i | 0.893271 | + | 0.449518i | \(0.148404\pi\) | ||||
−0.893271 | + | 0.449518i | \(0.851596\pi\) | |||||||
\(114\) | −7.68743 | + | 5.15240i | −0.719994 | + | 0.482566i | ||||
\(115\) | 15.1655 | − | 8.75579i | 1.41419 | − | 0.816481i | ||||
\(116\) | 2.58126 | − | 1.49029i | 0.239664 | − | 0.138370i | ||||
\(117\) | −0.400031 | − | 2.97321i | −0.0369829 | − | 0.274873i | ||||
\(118\) | − | 2.70238i | − | 0.248774i | ||||||
\(119\) | 8.28135 | − | 17.3878i | 0.759150 | − | 1.59393i | ||||
\(120\) | −2.84147 | + | 5.78264i | −0.259390 | + | 0.527880i | ||||
\(121\) | −5.29569 | + | 9.17240i | −0.481426 | + | 0.833854i | ||||
\(122\) | −5.77587 | − | 10.0041i | −0.522922 | − | 0.905728i | ||||
\(123\) | −1.35231 | − | 20.1925i | −0.121934 | − | 1.82070i | ||||
\(124\) | 0.608107 | + | 0.351091i | 0.0546096 | + | 0.0315289i | ||||
\(125\) | 14.2756 | 1.27684 | ||||||||
\(126\) | −1.67674 | − | 7.75813i | −0.149376 | − | 0.691149i | ||||
\(127\) | 2.68673 | 0.238409 | 0.119204 | − | 0.992870i | \(-0.461966\pi\) | ||||
0.119204 | + | 0.992870i | \(0.461966\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | −0.414059 | − | 6.18268i | −0.0364558 | − | 0.544354i | ||||
\(130\) | 1.85995 | + | 3.22152i | 0.163128 | + | 0.282546i | ||||
\(131\) | −3.14262 | + | 5.44318i | −0.274572 | + | 0.475573i | −0.970027 | − | 0.242997i | \(-0.921870\pi\) |
0.695455 | + | 0.718570i | \(0.255203\pi\) | |||||||
\(132\) | −0.488288 | + | 0.993707i | −0.0425000 | + | 0.0864911i | ||||
\(133\) | 1.11717 | + | 14.0921i | 0.0968710 | + | 1.22194i | ||||
\(134\) | 2.30769i | 0.199354i | ||||||||
\(135\) | 18.3297 | + | 6.13506i | 1.57757 | + | 0.528022i | ||||
\(136\) | 6.30404 | − | 3.63964i | 0.540567 | − | 0.312096i | ||||
\(137\) | −12.5020 | + | 7.21801i | −1.06811 | + | 0.616676i | −0.927666 | − | 0.373411i | \(-0.878188\pi\) |
−0.140449 | + | 0.990088i | \(0.544855\pi\) | |||||||
\(138\) | −6.77312 | + | 4.53959i | −0.576566 | + | 0.386435i | ||||
\(139\) | 8.02304i | 0.680505i | 0.940334 | + | 0.340253i | \(0.110513\pi\) | ||||
−0.940334 | + | 0.340253i | \(0.889487\pi\) | |||||||
\(140\) | 5.57916 | + | 8.10780i | 0.471525 | + | 0.685234i | ||||
\(141\) | 10.9903 | + | 5.40040i | 0.925548 | + | 0.454796i | ||||
\(142\) | 5.45459 | − | 9.44762i | 0.457739 | − | 0.792827i | ||||
\(143\) | 0.319619 | + | 0.553597i | 0.0267279 | + | 0.0462941i | ||||
\(144\) | 1.14017 | − | 2.77489i | 0.0950140 | − | 0.231241i | ||||
\(145\) | 9.60200 | + | 5.54372i | 0.797403 | + | 0.460381i | ||||
\(146\) | 9.57044 | 0.792056 | ||||||||
\(147\) | −11.5882 | − | 3.56568i | −0.955777 | − | 0.294093i | ||||
\(148\) | 10.4397 | 0.858141 | ||||||||
\(149\) | −12.9471 | − | 7.47499i | −1.06066 | − | 0.612375i | −0.135048 | − | 0.990839i | \(-0.543119\pi\) |
−0.925616 | + | 0.378464i | \(0.876452\pi\) | |||||||
\(150\) | −15.2730 | + | 1.02285i | −1.24704 | + | 0.0835150i | ||||
\(151\) | 2.84087 | + | 4.92054i | 0.231187 | + | 0.400428i | 0.958158 | − | 0.286241i | \(-0.0924058\pi\) |
−0.726971 | + | 0.686668i | \(0.759072\pi\) | |||||||
\(152\) | −2.67151 | + | 4.62720i | −0.216688 | + | 0.375315i | ||||
\(153\) | −13.3432 | − | 17.2873i | −1.07873 | − | 1.39759i | ||||
\(154\) | 0.958740 | + | 1.39327i | 0.0772575 | + | 0.112273i | ||||
\(155\) | 2.61204i | 0.209804i | ||||||||
\(156\) | −0.964322 | − | 1.43878i | −0.0772075 | − | 0.115194i | ||||
\(157\) | −3.76719 | + | 2.17499i | −0.300654 | + | 0.173583i | −0.642737 | − | 0.766087i | \(-0.722201\pi\) |
0.342083 | + | 0.939670i | \(0.388868\pi\) | |||||||
\(158\) | 8.67422 | − | 5.00806i | 0.690084 | − | 0.398420i | ||||
\(159\) | −7.41507 | − | 11.0634i | −0.588053 | − | 0.877382i | ||||
\(160\) | 3.71990i | 0.294084i | ||||||||
\(161\) | 0.984298 | + | 12.4160i | 0.0775736 | + | 0.978521i | ||||
\(162\) | −8.70643 | − | 2.27992i | −0.684042 | − | 0.179127i | ||||
\(163\) | 11.6978 | − | 20.2611i | 0.916240 | − | 1.58697i | 0.111163 | − | 0.993802i | \(-0.464542\pi\) |
0.805076 | − | 0.593171i | \(-0.202124\pi\) | |||||||
\(164\) | −5.84214 | − | 10.1189i | −0.456194 | − | 0.790152i | ||||
\(165\) | −4.10944 | + | 0.275213i | −0.319920 | + | 0.0214253i | ||||
\(166\) | 5.80561 | + | 3.35187i | 0.450603 | + | 0.260156i | ||||
\(167\) | −2.43964 | −0.188785 | −0.0943923 | − | 0.995535i | \(-0.530091\pi\) | ||||
−0.0943923 | + | 0.995535i | \(0.530091\pi\) | |||||||
\(168\) | −2.84421 | − | 3.59312i | −0.219435 | − | 0.277215i | ||||
\(169\) | −1.00000 | −0.0769231 | ||||||||
\(170\) | 23.4504 | + | 13.5391i | 1.79856 | + | 1.03840i | ||||
\(171\) | 14.8263 | + | 6.09195i | 1.13380 | + | 0.465863i | ||||
\(172\) | −1.78878 | − | 3.09826i | −0.136393 | − | 0.236240i | ||||
\(173\) | 1.18592 | − | 2.05407i | 0.0901638 | − | 0.156168i | −0.817416 | − | 0.576048i | \(-0.804594\pi\) |
0.907580 | + | 0.419879i | \(0.137928\pi\) | |||||||
\(174\) | −4.63336 | − | 2.27674i | −0.351254 | − | 0.172599i | ||||
\(175\) | −10.0542 | + | 21.1101i | −0.760028 | + | 1.59578i | ||||
\(176\) | 0.639239i | 0.0481844i | ||||||||
\(177\) | −3.88813 | + | 2.60596i | −0.292250 | + | 0.195876i | ||||
\(178\) | 3.37839 | − | 1.95052i | 0.253221 | − | 0.146197i | ||||
\(179\) | 8.34373 | − | 4.81725i | 0.623639 | − | 0.360058i | −0.154645 | − | 0.987970i | \(-0.549423\pi\) |
0.778285 | + | 0.627912i | \(0.216090\pi\) | |||||||
\(180\) | 11.0600 | − | 1.48807i | 0.824366 | − | 0.110914i | ||||
\(181\) | − | 10.6638i | − | 0.792636i | −0.918113 | − | 0.396318i | \(-0.870288\pi\) | ||
0.918113 | − | 0.396318i | \(-0.129712\pi\) | |||||||
\(182\) | −2.63748 | + | 0.209090i | −0.195503 | + | 0.0154987i | ||||
\(183\) | −8.82388 | + | 17.9574i | −0.652280 | + | 1.32745i | ||||
\(184\) | −2.35377 | + | 4.07685i | −0.173522 | + | 0.300550i | ||||
\(185\) | 19.4174 | + | 33.6319i | 1.42759 | + | 2.47266i | ||||
\(186\) | −0.0812688 | − | 1.21350i | −0.00595892 | − | 0.0889778i | ||||
\(187\) | 4.02979 | + | 2.32660i | 0.294687 | + | 0.170138i | ||||
\(188\) | 7.06990 | 0.515626 | ||||||||
\(189\) | −9.54531 | + | 9.89379i | −0.694319 | + | 0.719667i | ||||
\(190\) | −19.8755 | −1.44192 | ||||||||
\(191\) | 8.44258 | + | 4.87433i | 0.610884 | + | 0.352694i | 0.773311 | − | 0.634027i | \(-0.218599\pi\) |
−0.162428 | + | 0.986720i | \(0.551932\pi\) | |||||||
\(192\) | −0.115738 | − | 1.72818i | −0.00835264 | − | 0.124721i | ||||
\(193\) | −1.46371 | − | 2.53522i | −0.105360 | − | 0.182489i | 0.808525 | − | 0.588462i | \(-0.200266\pi\) |
−0.913885 | + | 0.405972i | \(0.866933\pi\) | |||||||
\(194\) | 1.75035 | − | 3.03170i | 0.125668 | − | 0.217663i | ||||
\(195\) | 2.84147 | − | 5.78264i | 0.203482 | − | 0.414103i | ||||
\(196\) | −6.91256 | + | 1.10294i | −0.493755 | + | 0.0787812i | ||||
\(197\) | − | 2.60658i | − | 0.185711i | −0.995680 | − | 0.0928556i | \(-0.970400\pi\) | ||
0.995680 | − | 0.0928556i | \(-0.0295995\pi\) | |||||||
\(198\) | 1.90059 | − | 0.255715i | 0.135069 | − | 0.0181729i | ||||
\(199\) | −9.74629 | + | 5.62702i | −0.690896 | + | 0.398889i | −0.803948 | − | 0.594700i | \(-0.797271\pi\) |
0.113052 | + | 0.993589i | \(0.463937\pi\) | |||||||
\(200\) | −7.65361 | + | 4.41881i | −0.541192 | + | 0.312457i | ||||
\(201\) | 3.32025 | − | 2.22535i | 0.234193 | − | 0.156964i | ||||
\(202\) | 1.77344i | 0.124779i | ||||||||
\(203\) | −6.49640 | + | 4.47031i | −0.455958 | + | 0.313755i | ||||
\(204\) | −11.3158 | − | 5.56033i | −0.792261 | − | 0.389301i | ||||
\(205\) | 21.7321 | − | 37.6412i | 1.51784 | − | 2.62897i | ||||
\(206\) | −4.13746 | − | 7.16629i | −0.288270 | − | 0.499299i | ||||
\(207\) | 13.0629 | + | 5.36739i | 0.907936 | + | 0.373060i | ||||
\(208\) | −0.866025 | − | 0.500000i | −0.0600481 | − | 0.0346688i | ||||
\(209\) | −3.41547 | −0.236253 | ||||||||
\(210\) | 6.28523 | − | 15.8457i | 0.433722 | − | 1.09346i | ||||
\(211\) | 0.972576 | 0.0669549 | 0.0334775 | − | 0.999439i | \(-0.489342\pi\) | ||||
0.0334775 | + | 0.999439i | \(0.489342\pi\) | |||||||
\(212\) | −6.65923 | − | 3.84471i | −0.457358 | − | 0.264056i | ||||
\(213\) | −18.8530 | + | 1.26260i | −1.29179 | + | 0.0865120i | ||||
\(214\) | 8.33299 | + | 14.4332i | 0.569631 | + | 0.986631i | ||||
\(215\) | 6.65408 | − | 11.5252i | 0.453805 | − | 0.786013i | ||||
\(216\) | −5.09194 | + | 1.03544i | −0.346463 | + | 0.0704526i | ||||
\(217\) | −1.67728 | − | 0.798845i | −0.113861 | − | 0.0542291i | ||||
\(218\) | − | 10.0545i | − | 0.680976i | ||||||
\(219\) | −9.22899 | − | 13.7698i | −0.623637 | − | 0.930474i | ||||
\(220\) | −2.05932 | + | 1.18895i | −0.138840 | + | 0.0801591i | ||||
\(221\) | −6.30404 | + | 3.63964i | −0.424055 | + | 0.244829i | ||||
\(222\) | −10.0673 | − | 15.0205i | −0.675670 | − | 1.00811i | ||||
\(223\) | − | 11.7623i | − | 0.787661i | −0.919183 | − | 0.393830i | \(-0.871150\pi\) | ||
0.919183 | − | 0.393830i | \(-0.128850\pi\) | |||||||
\(224\) | −2.38867 | − | 1.13766i | −0.159599 | − | 0.0760132i | ||||
\(225\) | 16.1997 | + | 20.9881i | 1.07998 | + | 1.39921i | ||||
\(226\) | 4.77844 | − | 8.27651i | 0.317857 | − | 0.550545i | ||||
\(227\) | −3.46041 | − | 5.99360i | −0.229675 | − | 0.397809i | 0.728037 | − | 0.685538i | \(-0.240433\pi\) |
−0.957712 | + | 0.287729i | \(0.907100\pi\) | |||||||
\(228\) | 9.23371 | − | 0.618389i | 0.611517 | − | 0.0409538i | ||||
\(229\) | −8.65357 | − | 4.99614i | −0.571844 | − | 0.330154i | 0.186042 | − | 0.982542i | \(-0.440434\pi\) |
−0.757885 | + | 0.652388i | \(0.773767\pi\) | |||||||
\(230\) | −17.5116 | −1.15468 | ||||||||
\(231\) | 1.08007 | − | 2.72298i | 0.0710636 | − | 0.179159i | ||||
\(232\) | −2.98058 | −0.195684 | ||||||||
\(233\) | 1.71349 | + | 0.989282i | 0.112254 | + | 0.0648100i | 0.555076 | − | 0.831800i | \(-0.312689\pi\) |
−0.442822 | + | 0.896610i | \(0.646023\pi\) | |||||||
\(234\) | −1.14017 | + | 2.77489i | −0.0745351 | + | 0.181400i | ||||
\(235\) | 13.1496 | + | 22.7759i | 0.857789 | + | 1.48573i | ||||
\(236\) | −1.35119 | + | 2.34033i | −0.0879550 | + | 0.152343i | ||||
\(237\) | −15.5702 | − | 7.65090i | −1.01140 | − | 0.496979i | ||||
\(238\) | −15.8657 | + | 10.9176i | −1.02842 | + | 0.707681i | ||||
\(239\) | 10.7072i | 0.692588i | 0.938126 | + | 0.346294i | \(0.112560\pi\) | ||||
−0.938126 | + | 0.346294i | \(0.887440\pi\) | |||||||
\(240\) | 5.35211 | − | 3.58718i | 0.345477 | − | 0.231551i | ||||
\(241\) | −17.1442 | + | 9.89818i | −1.10435 | + | 0.637598i | −0.937361 | − | 0.348360i | \(-0.886739\pi\) |
−0.166991 | + | 0.985958i | \(0.553405\pi\) | |||||||
\(242\) | 9.17240 | − | 5.29569i | 0.589624 | − | 0.340420i | ||||
\(243\) | 5.11550 | + | 14.7252i | 0.328160 | + | 0.944622i | ||||
\(244\) | 11.5517i | 0.739524i | ||||||||
\(245\) | −16.4101 | − | 20.2176i | −1.04841 | − | 1.29165i | ||||
\(246\) | −8.92513 | + | 18.1634i | −0.569046 | + | 1.15806i | ||||
\(247\) | 2.67151 | − | 4.62720i | 0.169984 | − | 0.294421i | ||||
\(248\) | −0.351091 | − | 0.608107i | −0.0222943 | − | 0.0386148i | ||||
\(249\) | −0.775875 | − | 11.5853i | −0.0491691 | − | 0.734187i | ||||
\(250\) | −12.3630 | − | 7.13778i | −0.781905 | − | 0.451433i | ||||
\(251\) | −27.2102 | −1.71749 | −0.858747 | − | 0.512400i | \(-0.828756\pi\) | ||||
−0.858747 | + | 0.512400i | \(0.828756\pi\) | |||||||
\(252\) | −2.42697 | + | 7.55711i | −0.152884 | + | 0.476053i | ||||
\(253\) | −3.00925 | −0.189190 | ||||||||
\(254\) | −2.32678 | − | 1.34337i | −0.145995 | − | 0.0842903i | ||||
\(255\) | −3.13396 | − | 46.7959i | −0.196256 | − | 2.93047i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 11.3753 | − | 19.7025i | 0.709569 | − | 1.22901i | −0.255447 | − | 0.966823i | \(-0.582223\pi\) |
0.965017 | − | 0.262187i | \(-0.0844439\pi\) | |||||||
\(258\) | −2.73275 | + | 5.56138i | −0.170134 | + | 0.346237i | ||||
\(259\) | −27.5345 | + | 2.18284i | −1.71091 | + | 0.135635i | ||||
\(260\) | − | 3.71990i | − | 0.230698i | ||||||
\(261\) | 1.19232 | + | 8.86188i | 0.0738029 | + | 0.548537i | ||||
\(262\) | 5.44318 | − | 3.14262i | 0.336281 | − | 0.194152i | ||||
\(263\) | −1.66747 | + | 0.962712i | −0.102820 | + | 0.0593634i | −0.550528 | − | 0.834816i | \(-0.685574\pi\) |
0.447708 | + | 0.894180i | \(0.352240\pi\) | |||||||
\(264\) | 0.919723 | − | 0.616432i | 0.0566051 | − | 0.0379388i | ||||
\(265\) | − | 28.6038i | − | 1.75712i | ||||||
\(266\) | 6.07855 | − | 12.7627i | 0.372700 | − | 0.782532i | ||||
\(267\) | −6.06422 | − | 2.97983i | −0.371124 | − | 0.182363i | ||||
\(268\) | 1.15384 | − | 1.99852i | 0.0704823 | − | 0.122079i | ||||
\(269\) | 9.29729 | + | 16.1034i | 0.566866 | + | 0.981840i | 0.996873 | + | 0.0790149i | \(0.0251775\pi\) |
−0.430008 | + | 0.902825i | \(0.641489\pi\) | |||||||
\(270\) | −12.8064 | − | 14.4780i | −0.779375 | − | 0.881100i | ||||
\(271\) | −5.08642 | − | 2.93665i | −0.308978 | − | 0.178389i | 0.337491 | − | 0.941329i | \(-0.390422\pi\) |
−0.646469 | + | 0.762940i | \(0.723755\pi\) | |||||||
\(272\) | −7.27927 | −0.441371 | ||||||||
\(273\) | 2.84421 | + | 3.59312i | 0.172139 | + | 0.217465i | ||||
\(274\) | 14.4360 | 0.872112 | ||||||||
\(275\) | −4.89248 | − | 2.82468i | −0.295028 | − | 0.170334i | ||||
\(276\) | 8.13548 | − | 0.544840i | 0.489699 | − | 0.0327955i | ||||
\(277\) | −3.58404 | − | 6.20773i | −0.215344 | − | 0.372987i | 0.738035 | − | 0.674762i | \(-0.235754\pi\) |
−0.953379 | + | 0.301776i | \(0.902421\pi\) | |||||||
\(278\) | 4.01152 | − | 6.94815i | 0.240595 | − | 0.416723i | ||||
\(279\) | −1.66758 | + | 1.28713i | −0.0998355 | + | 0.0770583i | ||||
\(280\) | −0.777791 | − | 9.81114i | −0.0464819 | − | 0.586328i | ||||
\(281\) | − | 1.56977i | − | 0.0936448i | −0.998903 | − | 0.0468224i | \(-0.985091\pi\) | ||
0.998903 | − | 0.0468224i | \(-0.0149095\pi\) | |||||||
\(282\) | −6.81766 | − | 10.1720i | −0.405986 | − | 0.605735i | ||||
\(283\) | 17.3559 | − | 10.0204i | 1.03170 | − | 0.595653i | 0.114230 | − | 0.993454i | \(-0.463560\pi\) |
0.917472 | + | 0.397801i | \(0.130227\pi\) | |||||||
\(284\) | −9.44762 | + | 5.45459i | −0.560613 | + | 0.323670i | ||||
\(285\) | 19.1664 | + | 28.5964i | 1.13532 | + | 1.69391i | ||||
\(286\) | − | 0.639239i | − | 0.0377990i | ||||||
\(287\) | 17.5243 | + | 25.4668i | 1.03442 | + | 1.50326i | ||||
\(288\) | −2.37486 | + | 1.83304i | −0.139940 | + | 0.108013i | ||||
\(289\) | −17.9939 | + | 31.1664i | −1.05847 | + | 1.83332i | ||||
\(290\) | −5.54372 | − | 9.60200i | −0.325538 | − | 0.563849i | ||||
\(291\) | −6.04985 | + | 0.405163i | −0.354649 | + | 0.0237511i | ||||
\(292\) | −8.28825 | − | 4.78522i | −0.485033 | − | 0.280034i | ||||
\(293\) | 17.0764 | 0.997617 | 0.498808 | − | 0.866712i | \(-0.333771\pi\) | ||||
0.498808 | + | 0.866712i | \(0.333771\pi\) | |||||||
\(294\) | 8.25282 | + | 8.88206i | 0.481314 | + | 0.518012i | ||||
\(295\) | −10.0526 | −0.585284 | ||||||||
\(296\) | −9.04107 | − | 5.21987i | −0.525502 | − | 0.303399i | ||||
\(297\) | −2.20070 | − | 2.48794i | −0.127697 | − | 0.144365i | ||||
\(298\) | 7.47499 | + | 12.9471i | 0.433014 | + | 0.750003i | ||||
\(299\) | 2.35377 | − | 4.07685i | 0.136122 | − | 0.235771i | ||||
\(300\) | 13.7382 | + | 6.75069i | 0.793177 | + | 0.389751i | ||||
\(301\) | 5.36569 | + | 7.79758i | 0.309273 | + | 0.449445i | ||||
\(302\) | − | 5.68175i | − | 0.326948i | ||||||
\(303\) | 2.55159 | − | 1.71017i | 0.146585 | − | 0.0982465i | ||||
\(304\) | 4.62720 | − | 2.67151i | 0.265388 | − | 0.153222i | ||||
\(305\) | −37.2142 | + | 21.4856i | −2.13088 | + | 1.23026i | ||||
\(306\) | 2.91193 | + | 21.6428i | 0.166464 | + | 1.23724i | ||||
\(307\) | 2.27545i | 0.129867i | 0.997890 | + | 0.0649335i | \(0.0206835\pi\) | ||||
−0.997890 | + | 0.0649335i | \(0.979316\pi\) | |||||||
\(308\) | −0.133658 | − | 1.68598i | −0.00761588 | − | 0.0960675i | ||||
\(309\) | −6.32086 | + | 12.8635i | −0.359581 | + | 0.731778i | ||||
\(310\) | 1.30602 | − | 2.26209i | 0.0741770 | − | 0.128478i | ||||
\(311\) | 10.8605 | + | 18.8110i | 0.615844 | + | 1.06667i | 0.990236 | + | 0.139402i | \(0.0445181\pi\) |
−0.374392 | + | 0.927270i | \(0.622149\pi\) | |||||||
\(312\) | 0.115738 | + | 1.72818i | 0.00655235 | + | 0.0978389i | ||||
\(313\) | −14.3547 | − | 8.28769i | −0.811376 | − | 0.468448i | 0.0360575 | − | 0.999350i | \(-0.488520\pi\) |
−0.847434 | + | 0.530902i | \(0.821853\pi\) | |||||||
\(314\) | 4.34997 | 0.245483 | ||||||||
\(315\) | −28.8594 | + | 6.23729i | −1.62604 | + | 0.351432i | ||||
\(316\) | −10.0161 | −0.563451 | ||||||||
\(317\) | −7.12729 | − | 4.11494i | −0.400308 | − | 0.231118i | 0.286309 | − | 0.958137i | \(-0.407572\pi\) |
−0.686617 | + | 0.727019i | \(0.740905\pi\) | |||||||
\(318\) | 0.889954 | + | 13.2887i | 0.0499062 | + | 0.745193i | ||||
\(319\) | −0.952651 | − | 1.65004i | −0.0533382 | − | 0.0923845i | ||||
\(320\) | 1.85995 | − | 3.22152i | 0.103974 | − | 0.180089i | ||||
\(321\) | 12.7304 | − | 25.9075i | 0.710544 | − | 1.44602i | ||||
\(322\) | 5.35559 | − | 11.2448i | 0.298455 | − | 0.626646i | ||||
\(323\) | − | 38.8934i | − | 2.16408i | ||||||
\(324\) | 6.40003 | + | 6.32768i | 0.355557 | + | 0.351538i | ||||
\(325\) | 7.65361 | − | 4.41881i | 0.424546 | − | 0.245112i | ||||
\(326\) | −20.2611 | + | 11.6978i | −1.12216 | + | 0.647879i | ||||
\(327\) | −14.4662 | + | 9.69576i | −0.799982 | + | 0.536177i | ||||
\(328\) | 11.6843i | 0.645156i | ||||||||
\(329\) | −18.6467 | + | 1.47824i | −1.02803 | + | 0.0814982i | ||||
\(330\) | 3.69649 | + | 1.81638i | 0.203485 | + | 0.0999884i | ||||
\(331\) | −11.3043 | + | 19.5795i | −0.621338 | + | 1.07619i | 0.367899 | + | 0.929866i | \(0.380077\pi\) |
−0.989237 | + | 0.146323i | \(0.953256\pi\) | |||||||
\(332\) | −3.35187 | − | 5.80561i | −0.183958 | − | 0.318624i | ||||
\(333\) | −11.9031 | + | 28.9691i | −0.652283 | + | 1.58750i | ||||
\(334\) | 2.11279 | + | 1.21982i | 0.115607 | + | 0.0667455i | ||||
\(335\) | 8.58436 | 0.469014 | ||||||||
\(336\) | 0.666599 | + | 4.53383i | 0.0363660 | + | 0.247341i | ||||
\(337\) | 1.33284 | 0.0726044 | 0.0363022 | − | 0.999341i | \(-0.488442\pi\) | ||||
0.0363022 | + | 0.999341i | \(0.488442\pi\) | |||||||
\(338\) | 0.866025 | + | 0.500000i | 0.0471056 | + | 0.0271964i | ||||
\(339\) | −16.5160 | + | 1.10609i | −0.897027 | + | 0.0600746i | ||||
\(340\) | −13.5391 | − | 23.4504i | −0.734259 | − | 1.27177i | ||||
\(341\) | 0.224431 | − | 0.388726i | 0.0121536 | − | 0.0210507i | ||||
\(342\) | −9.79399 | − | 12.6889i | −0.529598 | − | 0.686139i | ||||
\(343\) | 18.0011 | − | 4.35432i | 0.971969 | − | 0.235111i | ||||
\(344\) | 3.57757i | 0.192889i | ||||||||
\(345\) | 16.8868 | + | 25.1953i | 0.909154 | + | 1.35647i | ||||
\(346\) | −2.05407 | + | 1.18592i | −0.110428 | + | 0.0637554i | ||||
\(347\) | 19.2344 | − | 11.1050i | 1.03255 | − | 0.596146i | 0.114839 | − | 0.993384i | \(-0.463365\pi\) |
0.917716 | + | 0.397238i | \(0.130031\pi\) | |||||||
\(348\) | 2.87423 | + | 4.28839i | 0.154075 | + | 0.229882i | ||||
\(349\) | 17.4181i | 0.932371i | 0.884687 | + | 0.466185i | \(0.154372\pi\) | ||||
−0.884687 | + | 0.466185i | \(0.845628\pi\) | |||||||
\(350\) | 19.2623 | − | 13.2548i | 1.02961 | − | 0.708499i | ||||
\(351\) | 5.09194 | − | 1.03544i | 0.271788 | − | 0.0552675i | ||||
\(352\) | 0.319619 | − | 0.553597i | 0.0170358 | − | 0.0295068i | ||||
\(353\) | 14.4605 | + | 25.0463i | 0.769653 | + | 1.33308i | 0.937751 | + | 0.347307i | \(0.112904\pi\) |
−0.168099 | + | 0.985770i | \(0.553763\pi\) | |||||||
\(354\) | 4.67020 | − | 0.312767i | 0.248218 | − | 0.0166234i | ||||
\(355\) | −35.1442 | − | 20.2905i | −1.86526 | − | 1.07691i | ||||
\(356\) | −3.90103 | −0.206754 | ||||||||
\(357\) | 31.0076 | + | 12.2992i | 1.64110 | + | 0.650945i | ||||
\(358\) | −9.63450 | −0.509199 | ||||||||
\(359\) | 3.51757 | + | 2.03087i | 0.185650 | + | 0.107185i | 0.589945 | − | 0.807444i | \(-0.299150\pi\) |
−0.404294 | + | 0.914629i | \(0.632483\pi\) | |||||||
\(360\) | −10.3223 | − | 4.24131i | −0.544033 | − | 0.223536i | ||||
\(361\) | 4.77397 | + | 8.26875i | 0.251261 | + | 0.435198i | ||||
\(362\) | −5.33192 | + | 9.23515i | −0.280239 | + | 0.485389i | ||||
\(363\) | −16.4645 | − | 8.09031i | −0.864160 | − | 0.424631i | ||||
\(364\) | 2.38867 | + | 1.13766i | 0.125200 | + | 0.0596297i | ||||
\(365\) | − | 35.6011i | − | 1.86344i | ||||||
\(366\) | 16.6204 | − | 11.1396i | 0.868761 | − | 0.582275i | ||||
\(367\) | 8.01993 | − | 4.63031i | 0.418637 | − | 0.241700i | −0.275857 | − | 0.961199i | \(-0.588962\pi\) |
0.694494 | + | 0.719499i | \(0.255628\pi\) | |||||||
\(368\) | 4.07685 | − | 2.35377i | 0.212521 | − | 0.122699i | ||||
\(369\) | 34.7398 | − | 4.67407i | 1.80848 | − | 0.243322i | ||||
\(370\) | − | 38.8347i | − | 2.01892i | ||||||
\(371\) | 18.3674 | + | 8.74795i | 0.953590 | + | 0.454171i | ||||
\(372\) | −0.536367 | + | 1.09155i | −0.0278093 | + | 0.0565943i | ||||
\(373\) | −3.06884 | + | 5.31539i | −0.158899 | + | 0.275220i | −0.934472 | − | 0.356037i | \(-0.884128\pi\) |
0.775573 | + | 0.631258i | \(0.217461\pi\) | |||||||
\(374\) | −2.32660 | − | 4.02979i | −0.120306 | − | 0.208375i | ||||
\(375\) | 1.65222 | + | 24.6707i | 0.0853202 | + | 1.27399i | ||||
\(376\) | −6.12272 | − | 3.53495i | −0.315755 | − | 0.182301i | ||||
\(377\) | 2.98058 | 0.153508 | ||||||||
\(378\) | 13.2134 | − | 3.79561i | 0.679623 | − | 0.195225i | ||||
\(379\) | 15.9194 | 0.817725 | 0.408863 | − | 0.912596i | \(-0.365926\pi\) | ||||
0.408863 | + | 0.912596i | \(0.365926\pi\) | |||||||
\(380\) | 17.2127 | + | 9.93775i | 0.882992 | + | 0.509796i | ||||
\(381\) | 0.310956 | + | 4.64315i | 0.0159307 | + | 0.237876i | ||||
\(382\) | −4.87433 | − | 8.44258i | −0.249392 | − | 0.431960i | ||||
\(383\) | 13.7676 | − | 23.8462i | 0.703491 | − | 1.21848i | −0.263742 | − | 0.964593i | \(-0.584957\pi\) |
0.967233 | − | 0.253889i | \(-0.0817099\pi\) | |||||||
\(384\) | −0.763858 | + | 1.55452i | −0.0389805 | + | 0.0793286i | ||||
\(385\) | 5.18282 | − | 3.56641i | 0.264141 | − | 0.181761i | ||||
\(386\) | 2.92742i | 0.149002i | ||||||||
\(387\) | 10.6369 | − | 1.43114i | 0.540702 | − | 0.0727487i | ||||
\(388\) | −3.03170 | + | 1.75035i | −0.153911 | + | 0.0888607i | ||||
\(389\) | 16.1727 | − | 9.33731i | 0.819988 | − | 0.473420i | −0.0304242 | − | 0.999537i | \(-0.509686\pi\) |
0.850412 | + | 0.526117i | \(0.176352\pi\) | |||||||
\(390\) | −5.35211 | + | 3.58718i | −0.271014 | + | 0.181644i | ||||
\(391\) | − | 34.2675i | − | 1.73298i | ||||||
\(392\) | 6.53792 | + | 2.50111i | 0.330215 | + | 0.126325i | ||||
\(393\) | −9.77051 | − | 4.80103i | −0.492857 | − | 0.242180i | ||||
\(394\) | −1.30329 | + | 2.25737i | −0.0656589 | + | 0.113724i | ||||
\(395\) | −18.6295 | − | 32.2672i | −0.937351 | − | 1.62354i | ||||
\(396\) | −1.77382 | − | 0.728840i | −0.0891377 | − | 0.0366256i | ||||
\(397\) | −2.58988 | − | 1.49527i | −0.129982 | − | 0.0750452i | 0.433599 | − | 0.901106i | \(-0.357243\pi\) |
−0.563581 | + | 0.826061i | \(0.690577\pi\) | |||||||
\(398\) | 11.2540 | 0.564114 | ||||||||
\(399\) | −24.2244 | + | 3.56166i | −1.21274 | + | 0.178306i | ||||
\(400\) | 8.83762 | 0.441881 | ||||||||
\(401\) | 8.68481 | + | 5.01418i | 0.433699 | + | 0.250396i | 0.700921 | − | 0.713239i | \(-0.252772\pi\) |
−0.267222 | + | 0.963635i | \(0.586106\pi\) | |||||||
\(402\) | −3.98810 | + | 0.267086i | −0.198908 | + | 0.0133211i | ||||
\(403\) | 0.351091 | + | 0.608107i | 0.0174891 | + | 0.0302920i | ||||
\(404\) | 0.886720 | − | 1.53584i | 0.0441160 | − | 0.0764111i | ||||
\(405\) | −8.48105 | + | 32.3870i | −0.421427 | + | 1.60932i | ||||
\(406\) | 7.86120 | − | 0.623208i | 0.390145 | − | 0.0309293i | ||||
\(407\) | − | 6.67348i | − | 0.330792i | ||||||
\(408\) | 7.01956 | + | 10.4733i | 0.347520 | + | 0.518504i | ||||
\(409\) | 28.0742 | − | 16.2086i | 1.38818 | − | 0.801466i | 0.395069 | − | 0.918651i | \(-0.370721\pi\) |
0.993110 | + | 0.117186i | \(0.0373873\pi\) | |||||||
\(410\) | −37.6412 | + | 21.7321i | −1.85897 | + | 1.07327i | ||||
\(411\) | −13.9210 | − | 20.7702i | −0.686671 | − | 1.02452i | ||||
\(412\) | 8.27492i | 0.407676i | ||||||||
\(413\) | 3.07440 | − | 6.45509i | 0.151281 | − | 0.317634i | ||||
\(414\) | −8.62913 | − | 11.1798i | −0.424098 | − | 0.549455i | ||||
\(415\) | 12.4686 | − | 21.5963i | 0.612060 | − | 1.06012i | ||||
\(416\) | 0.500000 | + | 0.866025i | 0.0245145 | + | 0.0424604i | ||||
\(417\) | −13.8652 | + | 0.928567i | −0.678984 | + | 0.0454721i | ||||
\(418\) | 2.95788 | + | 1.70774i | 0.144675 | + | 0.0835281i | ||||
\(419\) | 35.0674 | 1.71315 | 0.856577 | − | 0.516019i | \(-0.172587\pi\) | ||||
0.856577 | + | 0.516019i | \(0.172587\pi\) | |||||||
\(420\) | −13.3660 | + | 10.5802i | −0.652195 | + | 0.516259i | ||||
\(421\) | 12.0494 | 0.587249 | 0.293625 | − | 0.955921i | \(-0.405138\pi\) | ||||
0.293625 | + | 0.955921i | \(0.405138\pi\) | |||||||
\(422\) | −0.842276 | − | 0.486288i | −0.0410013 | − | 0.0236721i | ||||
\(423\) | −8.06088 | + | 19.6182i | −0.391933 | + | 0.953870i | ||||
\(424\) | 3.84471 | + | 6.65923i | 0.186715 | + | 0.323401i | ||||
\(425\) | 32.1657 | − | 55.7127i | 1.56027 | − | 2.70246i | ||||
\(426\) | 16.9585 | + | 8.33306i | 0.821641 | + | 0.403738i | ||||
\(427\) | −2.41535 | − | 30.4674i | −0.116887 | − | 1.47442i | ||||
\(428\) | − | 16.6660i | − | 0.805580i | ||||||
\(429\) | −0.919723 | + | 0.616432i | −0.0444047 | + | 0.0297616i | ||||
\(430\) | −11.5252 | + | 6.65408i | −0.555795 | + | 0.320888i | ||||
\(431\) | −12.1267 | + | 7.00133i | −0.584121 | + | 0.337242i | −0.762769 | − | 0.646671i | \(-0.776161\pi\) |
0.178649 | + | 0.983913i | \(0.442827\pi\) | |||||||
\(432\) | 4.92747 | + | 1.64926i | 0.237073 | + | 0.0793499i | ||||
\(433\) | 23.7265i | 1.14022i | 0.821568 | + | 0.570110i | \(0.193100\pi\) | ||||
−0.821568 | + | 0.570110i | \(0.806900\pi\) | |||||||
\(434\) | 1.05314 | + | 1.53046i | 0.0505524 | + | 0.0734643i | ||||
\(435\) | −8.46923 | + | 17.2356i | −0.406068 | + | 0.826384i | ||||
\(436\) | −5.02724 | + | 8.70744i | −0.240761 | + | 0.417011i | ||||
\(437\) | 12.5763 | + | 21.7827i | 0.601605 | + | 1.04201i | ||||
\(438\) | 1.10766 | + | 16.5394i | 0.0529261 | + | 0.790285i | ||||
\(439\) | −23.8048 | − | 13.7437i | −1.13614 | − | 0.655950i | −0.190668 | − | 0.981655i | \(-0.561065\pi\) |
−0.945472 | + | 0.325704i | \(0.894399\pi\) | |||||||
\(440\) | 2.37790 | 0.113362 | ||||||||
\(441\) | 4.82095 | − | 20.4391i | 0.229569 | − | 0.973292i | ||||
\(442\) | 7.27927 | 0.346240 | ||||||||
\(443\) | −19.7056 | − | 11.3770i | −0.936242 | − | 0.540540i | −0.0474616 | − | 0.998873i | \(-0.515113\pi\) |
−0.888780 | + | 0.458334i | \(0.848447\pi\) | |||||||
\(444\) | 1.20827 | + | 18.0417i | 0.0573419 | + | 0.856223i | ||||
\(445\) | −7.25571 | − | 12.5673i | −0.343954 | − | 0.595746i | ||||
\(446\) | −5.88114 | + | 10.1864i | −0.278480 | + | 0.482342i | ||||
\(447\) | 11.4197 | − | 23.2400i | 0.540131 | − | 1.09921i | ||||
\(448\) | 1.49982 | + | 2.17958i | 0.0708596 | + | 0.102975i | ||||
\(449\) | 12.2342i | 0.577368i | 0.957425 | + | 0.288684i | \(0.0932176\pi\) | ||||
−0.957425 | + | 0.288684i | \(0.906782\pi\) | |||||||
\(450\) | −3.53532 | − | 26.2761i | −0.166657 | − | 1.23867i | ||||
\(451\) | −6.46838 | + | 3.73452i | −0.304584 | + | 0.175852i | ||||
\(452\) | −8.27651 | + | 4.77844i | −0.389294 | + | 0.224759i | ||||
\(453\) | −8.17477 | + | 5.47903i | −0.384084 | + | 0.257427i | ||||
\(454\) | 6.92081i | 0.324810i | ||||||||
\(455\) | 0.777791 | + | 9.81114i | 0.0364634 | + | 0.459953i | ||||
\(456\) | −8.30582 | − | 4.08131i | −0.388956 | − | 0.191125i | ||||
\(457\) | −9.42161 | + | 16.3187i | −0.440724 | + | 0.763357i | −0.997743 | − | 0.0671429i | \(-0.978612\pi\) |
0.557019 | + | 0.830500i | \(0.311945\pi\) | |||||||
\(458\) | 4.99614 | + | 8.65357i | 0.233454 | + | 0.404355i | ||||
\(459\) | 28.3312 | − | 25.0603i | 1.32239 | − | 1.16971i | ||||
\(460\) | 15.1655 | + | 8.75579i | 0.707094 | + | 0.408241i | ||||
\(461\) | −18.7725 | −0.874324 | −0.437162 | − | 0.899383i | \(-0.644016\pi\) | ||||
−0.437162 | + | 0.899383i | \(0.644016\pi\) | |||||||
\(462\) | −2.29686 | + | 1.81813i | −0.106860 | + | 0.0845870i | ||||
\(463\) | 21.8455 | 1.01525 | 0.507624 | − | 0.861579i | \(-0.330524\pi\) | ||||
0.507624 | + | 0.861579i | \(0.330524\pi\) | |||||||
\(464\) | 2.58126 | + | 1.49029i | 0.119832 | + | 0.0691849i | ||||
\(465\) | −4.51408 | + | 0.302311i | −0.209335 | + | 0.0140194i | ||||
\(466\) | −0.989282 | − | 1.71349i | −0.0458276 | − | 0.0793758i | ||||
\(467\) | −13.6271 | + | 23.6028i | −0.630586 | + | 1.09221i | 0.356846 | + | 0.934163i | \(0.383852\pi\) |
−0.987432 | + | 0.158043i | \(0.949481\pi\) | |||||||
\(468\) | 2.37486 | − | 1.83304i | 0.109778 | − | 0.0847324i | ||||
\(469\) | −2.62537 | + | 5.51230i | −0.121228 | + | 0.254534i | ||||
\(470\) | − | 26.2993i | − | 1.21310i | ||||||
\(471\) | −4.19477 | − | 6.25864i | −0.193285 | − | 0.288383i | ||||
\(472\) | 2.34033 | − | 1.35119i | 0.107722 | − | 0.0621936i | ||||
\(473\) | −1.98053 | + | 1.14346i | −0.0910649 | + | 0.0525763i | ||||
\(474\) | 9.65877 | + | 14.4110i | 0.443642 | + | 0.661919i | ||||
\(475\) | 47.2197i | 2.16659i | ||||||||
\(476\) | 19.1989 | − | 1.52202i | 0.879981 | − | 0.0697617i | ||||
\(477\) | 18.2613 | − | 14.0950i | 0.836127 | − | 0.645366i | ||||
\(478\) | 5.35358 | − | 9.27267i | 0.244867 | − | 0.424122i | ||||
\(479\) | −4.07896 | − | 7.06496i | −0.186372 | − | 0.322806i | 0.757666 | − | 0.652643i | \(-0.226340\pi\) |
−0.944038 | + | 0.329836i | \(0.893006\pi\) | |||||||
\(480\) | −6.42865 | + | 0.430532i | −0.293426 | + | 0.0196510i | ||||
\(481\) | 9.04107 | + | 5.21987i | 0.412237 | + | 0.238005i | ||||
\(482\) | 19.7964 | 0.901700 | ||||||||
\(483\) | −21.3432 | + | 3.13805i | −0.971150 | + | 0.142786i | ||||
\(484\) | −10.5914 | −0.481426 | ||||||||
\(485\) | −11.2776 | − | 6.51113i | −0.512090 | − | 0.295655i | ||||
\(486\) | 2.93245 | − | 15.3102i | 0.133018 | − | 0.694483i | ||||
\(487\) | 15.7854 | + | 27.3411i | 0.715304 | + | 1.23894i | 0.962842 | + | 0.270065i | \(0.0870453\pi\) |
−0.247538 | + | 0.968878i | \(0.579621\pi\) | |||||||
\(488\) | 5.77587 | − | 10.0041i | 0.261461 | − | 0.452864i | ||||
\(489\) | 36.3687 | + | 17.8709i | 1.64465 | + | 0.808148i | ||||
\(490\) | 4.10281 | + | 25.7140i | 0.185346 | + | 1.16164i | ||||
\(491\) | 10.4465i | 0.471445i | 0.971820 | + | 0.235722i | \(0.0757456\pi\) | ||||
−0.971820 | + | 0.235722i | \(0.924254\pi\) | |||||||
\(492\) | 16.8111 | − | 11.2674i | 0.757902 | − | 0.507974i | ||||
\(493\) | 18.7897 | − | 10.8482i | 0.846244 | − | 0.488579i | ||||
\(494\) | −4.62720 | + | 2.67151i | −0.208187 | + | 0.120197i | ||||
\(495\) | −0.951234 | − | 7.07000i | −0.0427548 | − | 0.317773i | ||||
\(496\) | 0.702181i | 0.0315289i | ||||||||
\(497\) | 23.7774 | − | 16.3617i | 1.06656 | − | 0.733924i | ||||
\(498\) | −5.12071 | + | 10.4211i | −0.229464 | + | 0.466979i | ||||
\(499\) | −9.01724 | + | 15.6183i | −0.403667 | + | 0.699172i | −0.994165 | − | 0.107867i | \(-0.965598\pi\) |
0.590498 | + | 0.807039i | \(0.298931\pi\) | |||||||
\(500\) | 7.13778 | + | 12.3630i | 0.319211 | + | 0.552890i | ||||
\(501\) | −0.282358 | − | 4.21613i | −0.0126148 | − | 0.188363i | ||||
\(502\) | 23.5647 | + | 13.6051i | 1.05175 | + | 0.607226i | ||||
\(503\) | −1.94837 | −0.0868734 | −0.0434367 | − | 0.999056i | \(-0.513831\pi\) | ||||
−0.0434367 | + | 0.999056i | \(0.513831\pi\) | |||||||
\(504\) | 5.88037 | − | 5.33116i | 0.261932 | − | 0.237469i | ||||
\(505\) | 6.59701 | 0.293563 | ||||||||
\(506\) | 2.60608 | + | 1.50462i | 0.115855 | + | 0.0668887i | ||||
\(507\) | −0.115738 | − | 1.72818i | −0.00514009 | − | 0.0767512i | ||||
\(508\) | 1.34337 | + | 2.32678i | 0.0596022 | + | 0.103234i | ||||
\(509\) | 9.25943 | − | 16.0378i | 0.410417 | − | 0.710863i | −0.584518 | − | 0.811381i | \(-0.698716\pi\) |
0.994935 | + | 0.100517i | \(0.0320498\pi\) | |||||||
\(510\) | −20.6839 | + | 42.0934i | −0.915897 | + | 1.86393i | ||||
\(511\) | 22.8606 | + | 10.8879i | 1.01129 | + | 0.481653i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −8.81202 | + | 26.3276i | −0.389060 | + | 1.16239i | ||||
\(514\) | −19.7025 | + | 11.3753i | −0.869042 | + | 0.501741i | ||||
\(515\) | −26.6578 | + | 15.3909i | −1.17468 | + | 0.678205i | ||||
\(516\) | 5.14732 | − | 3.44992i | 0.226598 | − | 0.151874i | ||||
\(517\) | − | 4.51936i | − | 0.198761i | ||||||
\(518\) | 24.9370 | + | 11.8769i | 1.09567 | + | 0.521840i | ||||
\(519\) | 3.68706 | + | 1.81175i | 0.161844 | + | 0.0795269i | ||||
\(520\) | −1.85995 | + | 3.22152i | −0.0815641 | + | 0.141273i | ||||
\(521\) | −11.1032 | − | 19.2313i | −0.486441 | − | 0.842541i | 0.513437 | − | 0.858127i | \(-0.328372\pi\) |
−0.999879 | + | 0.0155863i | \(0.995039\pi\) | |||||||
\(522\) | 3.39836 | − | 8.27078i | 0.148742 | − | 0.362002i | ||||
\(523\) | 12.1280 | + | 7.00210i | 0.530320 | + | 0.306181i | 0.741147 | − | 0.671343i | \(-0.234282\pi\) |
−0.210827 | + | 0.977523i | \(0.567616\pi\) | |||||||
\(524\) | −6.28524 | −0.274572 | ||||||||
\(525\) | −37.6458 | − | 14.9323i | −1.64300 | − | 0.651698i | ||||
\(526\) | 1.92542 | 0.0839525 | ||||||||
\(527\) | 4.42658 | + | 2.55569i | 0.192825 | + | 0.111327i | ||||
\(528\) | −1.10472 | + | 0.0739840i | −0.0480768 | + | 0.00321974i | ||||
\(529\) | −0.419511 | − | 0.726614i | −0.0182396 | − | 0.0315919i | ||||
\(530\) | −14.3019 | + | 24.7716i | −0.621235 | + | 1.07601i | ||||
\(531\) | −4.95358 | − | 6.41778i | −0.214967 | − | 0.278508i | ||||
\(532\) | −11.6455 | + | 8.01355i | −0.504898 | + | 0.347432i | ||||
\(533\) | − | 11.6843i | − | 0.506102i | ||||||
\(534\) | 3.76185 | + | 5.61272i | 0.162791 | + | 0.242886i | ||||
\(535\) | 53.6899 | − | 30.9978i | 2.32121 | − | 1.34015i | ||||
\(536\) | −1.99852 | + | 1.15384i | −0.0863228 | + | 0.0498385i | ||||
\(537\) | 9.29076 | + | 13.8619i | 0.400926 | + | 0.598186i | ||||
\(538\) | − | 18.5946i | − | 0.801669i | ||||||
\(539\) | 0.705041 | + | 4.41878i | 0.0303682 | + | 0.190330i | ||||
\(540\) | 3.85172 | + | 18.9415i | 0.165752 | + | 0.815112i | ||||
\(541\) | 4.23557 | − | 7.33622i | 0.182101 | − | 0.315409i | −0.760495 | − | 0.649344i | \(-0.775043\pi\) |
0.942596 | + | 0.333935i | \(0.108377\pi\) | |||||||
\(542\) | 2.93665 | + | 5.08642i | 0.126140 | + | 0.218481i | ||||
\(543\) | 18.4290 | − | 1.23421i | 0.790865 | − | 0.0529649i | ||||
\(544\) | 6.30404 | + | 3.63964i | 0.270283 | + | 0.156048i | ||||
\(545\) | −37.4016 | −1.60211 | ||||||||
\(546\) | −0.666599 | − | 4.53383i | −0.0285278 | − | 0.194030i | ||||
\(547\) | −15.3032 | −0.654318 | −0.327159 | − | 0.944969i | \(-0.606091\pi\) | ||||
−0.327159 | + | 0.944969i | \(0.606091\pi\) | |||||||
\(548\) | −12.5020 | − | 7.21801i | −0.534057 | − | 0.308338i | ||||
\(549\) | −32.0548 | − | 13.1709i | −1.36806 | − | 0.562121i | ||||
\(550\) | 2.82468 | + | 4.89248i | 0.120445 | + | 0.208616i | ||||
\(551\) | −7.96265 | + | 13.7917i | −0.339220 | + | 0.587547i | ||||
\(552\) | −7.31796 | − | 3.59590i | −0.311473 | − | 0.153052i | ||||
\(553\) | 26.4173 | − | 2.09427i | 1.12338 | − | 0.0890573i | ||||
\(554\) | 7.16807i | 0.304542i | ||||||||
\(555\) | −55.8746 | + | 37.4492i | −2.37174 | + | 1.58963i | ||||
\(556\) | −6.94815 | + | 4.01152i | −0.294667 | + | 0.170126i | ||||
\(557\) | 5.44584 | − | 3.14416i | 0.230748 | − | 0.133222i | −0.380169 | − | 0.924917i | \(-0.624134\pi\) |
0.610917 | + | 0.791695i | \(0.290801\pi\) | |||||||
\(558\) | 2.08773 | − | 0.280894i | 0.0883808 | − | 0.0118912i | ||||
\(559\) | − | 3.57757i | − | 0.151315i | ||||||
\(560\) | −4.23198 | + | 8.88559i | −0.178834 | + | 0.375485i | ||||
\(561\) | −3.55438 | + | 7.23347i | −0.150066 | + | 0.305397i | ||||
\(562\) | −0.784886 | + | 1.35946i | −0.0331084 | + | 0.0573455i | ||||
\(563\) | 9.26195 | + | 16.0422i | 0.390344 | + | 0.676096i | 0.992495 | − | 0.122286i | \(-0.0390226\pi\) |
−0.602150 | + | 0.798383i | \(0.705689\pi\) | |||||||
\(564\) | 0.818254 | + | 12.2181i | 0.0344547 | + | 0.514473i | ||||
\(565\) | −30.7877 | − | 17.7753i | −1.29525 | − | 0.747813i | ||||
\(566\) | −20.0409 | −0.842381 | ||||||||
\(567\) | −18.2030 | − | 15.3509i | −0.764454 | − | 0.644679i | ||||
\(568\) | 10.9092 | 0.457739 | ||||||||
\(569\) | −13.7196 | − | 7.92099i | −0.575154 | − | 0.332065i | 0.184051 | − | 0.982917i | \(-0.441079\pi\) |
−0.759205 | + | 0.650852i | \(0.774412\pi\) | |||||||
\(570\) | −2.30034 | − | 34.3484i | −0.0963508 | − | 1.43870i | ||||
\(571\) | 11.5912 | + | 20.0765i | 0.485075 | + | 0.840174i | 0.999853 | − | 0.0171491i | \(-0.00545899\pi\) |
−0.514778 | + | 0.857324i | \(0.672126\pi\) | |||||||
\(572\) | −0.319619 | + | 0.553597i | −0.0133640 | + | 0.0231471i | ||||
\(573\) | −7.44659 | + | 15.1544i | −0.311086 | + | 0.633086i | ||||
\(574\) | −2.44306 | − | 30.8170i | −0.101971 | − | 1.28628i | ||||
\(575\) | 41.6035i | 1.73499i | ||||||||
\(576\) | 2.97321 | − | 0.400031i | 0.123884 | − | 0.0166679i | ||||
\(577\) | −18.4472 | + | 10.6505i | −0.767968 | + | 0.443386i | −0.832149 | − | 0.554552i | \(-0.812890\pi\) |
0.0641814 | + | 0.997938i | \(0.479556\pi\) | |||||||
\(578\) | 31.1664 | − | 17.9939i | 1.29635 | − | 0.748448i | ||||
\(579\) | 4.21191 | − | 2.82297i | 0.175041 | − | 0.117319i | ||||
\(580\) | 11.0874i | 0.460381i | ||||||||
\(581\) | 10.0544 | + | 14.6113i | 0.417126 | + | 0.606180i | ||||
\(582\) | 5.44191 | + | 2.67404i | 0.225574 | + | 0.110843i | ||||
\(583\) | −2.45769 | + | 4.25684i | −0.101787 | + | 0.176300i | ||||
\(584\) | 4.78522 | + | 8.28825i | 0.198014 | + | 0.342970i | ||||
\(585\) | 10.3223 | + | 4.24131i | 0.426775 | + | 0.175356i | ||||
\(586\) | −14.7886 | − | 8.53822i | −0.610913 | − | 0.352711i | ||||
\(587\) | −33.7288 | −1.39214 | −0.696068 | − | 0.717976i | \(-0.745069\pi\) | ||||
−0.696068 | + | 0.717976i | \(0.745069\pi\) | |||||||
\(588\) | −2.70612 | − | 11.8185i | −0.111598 | − | 0.487387i | ||||
\(589\) | −3.75177 | −0.154589 | ||||||||
\(590\) | 8.70579 | + | 5.02629i | 0.358412 | + | 0.206929i | ||||
\(591\) | 4.50464 | − | 0.301680i | 0.185296 | − | 0.0124094i | ||||
\(592\) | 5.21987 | + | 9.04107i | 0.214535 | + | 0.371586i | ||||
\(593\) | −17.5003 | + | 30.3114i | −0.718651 | + | 1.24474i | 0.242884 | + | 0.970055i | \(0.421907\pi\) |
−0.961534 | + | 0.274684i | \(0.911427\pi\) | |||||||
\(594\) | 0.661892 | + | 3.25497i | 0.0271577 | + | 0.133553i | ||||
\(595\) | 40.6122 | + | 59.0189i | 1.66494 | + | 2.41954i | ||||
\(596\) | − | 14.9500i | − | 0.612375i | ||||||
\(597\) | −10.8525 | − | 16.1921i | −0.444164 | − | 0.662698i | ||||
\(598\) | −4.07685 | + | 2.35377i | −0.166715 | + | 0.0962529i | ||||
\(599\) | 2.10938 | − | 1.21785i | 0.0861871 | − | 0.0497601i | −0.456287 | − | 0.889833i | \(-0.650821\pi\) |
0.542474 | + | 0.840072i | \(0.317488\pi\) | |||||||
\(600\) | −8.52231 | − | 12.7154i | −0.347922 | − | 0.519103i | ||||
\(601\) | − | 3.59313i | − | 0.146567i | −0.997311 | − | 0.0732833i | \(-0.976652\pi\) | ||
0.997311 | − | 0.0732833i | \(-0.0233477\pi\) | |||||||
\(602\) | −0.748031 | − | 9.43574i | −0.0304875 | − | 0.384572i | ||||
\(603\) | 4.23009 | + | 5.48044i | 0.172263 | + | 0.223181i | ||||
\(604\) | −2.84087 | + | 4.92054i | −0.115593 | + | 0.200214i | ||||
\(605\) | −19.6994 | − | 34.1204i | −0.800895 | − | 1.38719i | ||||
\(606\) | −3.06482 | + | 0.205254i | −0.124500 | + | 0.00833786i | ||||
\(607\) | −37.0768 | − | 21.4063i | −1.50490 | − | 0.868856i | −0.999984 | − | 0.00568830i | \(-0.998189\pi\) |
−0.504918 | − | 0.863167i | \(-0.668477\pi\) | |||||||
\(608\) | −5.34303 | −0.216688 | ||||||||
\(609\) | −8.47738 | − | 10.7096i | −0.343521 | − | 0.433973i | ||||
\(610\) | 42.9712 | 1.73985 | ||||||||
\(611\) | 6.12272 | + | 3.53495i | 0.247699 | + | 0.143009i | ||||
\(612\) | 8.29960 | − | 20.1992i | 0.335491 | − | 0.816504i | ||||
\(613\) | −6.21541 | − | 10.7654i | −0.251038 | − | 0.434811i | 0.712774 | − | 0.701394i | \(-0.247439\pi\) |
−0.963812 | + | 0.266583i | \(0.914105\pi\) | |||||||
\(614\) | 1.13773 | − | 1.97060i | 0.0459149 | − | 0.0795270i | ||||
\(615\) | 67.5660 | + | 33.2006i | 2.72452 | + | 1.33878i | ||||
\(616\) | −0.727237 | + | 1.52693i | −0.0293012 | + | 0.0615217i | ||||
\(617\) | − | 38.6142i | − | 1.55455i | −0.629161 | − | 0.777275i | \(-0.716601\pi\) | ||
0.629161 | − | 0.777275i | \(-0.283399\pi\) | |||||||
\(618\) | 11.9058 | − | 7.97968i | 0.478920 | − | 0.320990i | ||||
\(619\) | −6.51713 | + | 3.76267i | −0.261946 | + | 0.151234i | −0.625222 | − | 0.780447i | \(-0.714991\pi\) |
0.363276 | + | 0.931681i | \(0.381658\pi\) | |||||||
\(620\) | −2.26209 | + | 1.30602i | −0.0908479 | + | 0.0524510i | ||||
\(621\) | −7.76395 | + | 23.1963i | −0.311556 | + | 0.930835i | ||||
\(622\) | − | 21.7210i | − | 0.870935i | ||||||
\(623\) | 10.2889 | − | 0.815665i | 0.412215 | − | 0.0326789i | ||||
\(624\) | 0.763858 | − | 1.55452i | 0.0305788 | − | 0.0622305i | ||||
\(625\) | −4.45773 | + | 7.72102i | −0.178309 | + | 0.308841i | ||||
\(626\) | 8.28769 | + | 14.3547i | 0.331243 | + | 0.573729i | ||||
\(627\) | −0.395298 | − | 5.90255i | −0.0157867 | − | 0.235725i | ||||
\(628\) | −3.76719 | − | 2.17499i | −0.150327 | − | 0.0867914i | ||||
\(629\) | 75.9937 | 3.03007 | ||||||||
\(630\) | 28.1116 | + | 9.02806i | 1.11999 | + | 0.359686i | ||||
\(631\) | −28.1181 | −1.11936 | −0.559682 | − | 0.828707i | \(-0.689077\pi\) | ||||
−0.559682 | + | 0.828707i | \(0.689077\pi\) | |||||||
\(632\) | 8.67422 | + | 5.00806i | 0.345042 | + | 0.199210i | ||||
\(633\) | 0.112564 | + | 1.68079i | 0.00447400 | + | 0.0668053i | ||||
\(634\) | 4.11494 | + | 7.12729i | 0.163425 | + | 0.283061i | ||||
\(635\) | −4.99718 | + | 8.65537i | −0.198307 | + | 0.343478i | ||||
\(636\) | 5.87362 | − | 11.9533i | 0.232904 | − | 0.473980i | ||||
\(637\) | −6.53792 | − | 2.50111i | −0.259042 | − | 0.0990976i | ||||
\(638\) | 1.90530i | 0.0754316i | ||||||||
\(639\) | −4.36400 | − | 32.4353i | −0.172637 | − | 1.28312i | ||||
\(640\) | −3.22152 | + | 1.85995i | −0.127342 | + | 0.0735209i | ||||
\(641\) | 35.4835 | − | 20.4864i | 1.40151 | − | 0.809164i | 0.406965 | − | 0.913444i | \(-0.366587\pi\) |
0.994548 | + | 0.104279i | \(0.0332536\pi\) | |||||||
\(642\) | −23.9787 | + | 16.0714i | −0.946362 | + | 0.634286i | ||||
\(643\) | 13.7897i | 0.543812i | 0.962324 | + | 0.271906i | \(0.0876539\pi\) | ||||
−0.962324 | + | 0.271906i | \(0.912346\pi\) | |||||||
\(644\) | −10.2605 | + | 7.06045i | −0.404319 | + | 0.278221i | ||||
\(645\) | 20.6878 | + | 10.1656i | 0.814580 | + | 0.400268i | ||||
\(646\) | −19.4467 | + | 33.6826i | −0.765119 | + | 1.32523i | ||||
\(647\) | −12.9910 | − | 22.5010i | −0.510728 | − | 0.884607i | −0.999923 | − | 0.0124324i | \(-0.996043\pi\) |
0.489195 | − | 0.872175i | \(-0.337291\pi\) | |||||||
\(648\) | −2.37875 | − | 8.67995i | −0.0934461 | − | 0.340981i | ||||
\(649\) | 1.49603 | + | 0.863734i | 0.0587243 | + | 0.0339045i | ||||
\(650\) | −8.83762 | −0.346640 | ||||||||
\(651\) | 1.18642 | − | 2.99109i | 0.0464996 | − | 0.117230i | ||||
\(652\) | 23.3955 | 0.916240 | ||||||||
\(653\) | 7.09560 | + | 4.09665i | 0.277672 | + | 0.160314i | 0.632369 | − | 0.774667i | \(-0.282083\pi\) |
−0.354697 | + | 0.934981i | \(0.615416\pi\) | |||||||
\(654\) | 17.3760 | − | 1.16368i | 0.679454 | − | 0.0455036i | ||||
\(655\) | −11.6902 | − | 20.2481i | −0.456775 | − | 0.791157i | ||||
\(656\) | 5.84214 | − | 10.1189i | 0.228097 | − | 0.395076i | ||||
\(657\) | 22.7285 | − | 17.5430i | 0.886722 | − | 0.684419i | ||||
\(658\) | 16.8876 | + | 8.04315i | 0.658349 | + | 0.313555i | ||||
\(659\) | − | 12.0959i | − | 0.471188i | −0.971852 | − | 0.235594i | \(-0.924296\pi\) | ||
0.971852 | − | 0.235594i | \(-0.0757035\pi\) | |||||||
\(660\) | −2.29306 | − | 3.42127i | −0.0892573 | − | 0.133173i | ||||
\(661\) | −41.8718 | + | 24.1747i | −1.62862 | + | 0.940287i | −0.644121 | + | 0.764924i | \(0.722777\pi\) |
−0.984504 | + | 0.175363i | \(0.943890\pi\) | |||||||
\(662\) | 19.5795 | − | 11.3043i | 0.760981 | − | 0.439352i | ||||
\(663\) | −7.01956 | − | 10.4733i | −0.272617 | − | 0.406748i | ||||
\(664\) | 6.70374i | 0.260156i | ||||||||
\(665\) | −47.4759 | − | 22.6116i | −1.84104 | − | 0.876840i | ||||
\(666\) | 24.7929 | − | 19.1365i | 0.960705 | − | 0.741523i | ||||
\(667\) | −7.01560 | + | 12.1514i | −0.271645 | + | 0.470503i | ||||
\(668\) | −1.21982 | − | 2.11279i | −0.0471962 | − | 0.0817462i | ||||
\(669\) | 20.3273 | − | 1.36134i | 0.785900 | − | 0.0526324i | ||||
\(670\) | −7.43427 | − | 4.29218i | −0.287211 | − | 0.165821i | ||||
\(671\) | 7.38432 | 0.285068 | ||||||||
\(672\) | 1.68962 | − | 4.25971i | 0.0651787 | − | 0.164322i | ||||
\(673\) | −37.0135 | −1.42677 | −0.713383 | − | 0.700774i | \(-0.752838\pi\) | ||||
−0.713383 | + | 0.700774i | \(0.752838\pi\) | |||||||
\(674\) | −1.15427 | − | 0.666420i | −0.0444609 | − | 0.0256695i | ||||
\(675\) | −34.3963 | + | 30.4252i | −1.32391 | + | 1.17106i | ||||
\(676\) | −0.500000 | − | 0.866025i | −0.0192308 | − | 0.0333087i | ||||
\(677\) | 3.06663 | − | 5.31156i | 0.117860 | − | 0.204140i | −0.801059 | − | 0.598585i | \(-0.795730\pi\) |
0.918919 | + | 0.394445i | \(0.129063\pi\) | |||||||
\(678\) | 14.8563 | + | 7.30011i | 0.570554 | + | 0.280359i | ||||
\(679\) | 7.63006 | − | 5.25041i | 0.292815 | − | 0.201492i | ||||
\(680\) | 27.0781i | 1.03840i | ||||||||
\(681\) | 9.95752 | − | 6.67389i | 0.381573 | − | 0.255744i | ||||
\(682\) | −0.388726 | + | 0.224431i | −0.0148851 | + | 0.00859390i | ||||
\(683\) | 3.42887 | − | 1.97966i | 0.131202 | − | 0.0757496i | −0.432962 | − | 0.901412i | \(-0.642532\pi\) |
0.564164 | + | 0.825662i | \(0.309198\pi\) | |||||||
\(684\) | 2.13737 | + | 15.8859i | 0.0817246 | + | 0.607414i | ||||
\(685\) | − | 53.7005i | − | 2.05179i | ||||||
\(686\) | −17.7666 | − | 5.22961i | −0.678331 | − | 0.199667i | ||||
\(687\) | 7.63268 | − | 15.5332i | 0.291205 | − | 0.592627i | ||||
\(688\) | 1.78878 | − | 3.09826i | 0.0681967 | − | 0.118120i | ||||
\(689\) | −3.84471 | − | 6.65923i | −0.146472 | − | 0.253696i | ||||
\(690\) | −2.02675 | − | 30.2631i | −0.0771570 | − | 1.15210i | ||||
\(691\) | 33.1863 | + | 19.1601i | 1.26247 | + | 0.728885i | 0.973551 | − | 0.228470i | \(-0.0733723\pi\) |
0.288915 | + | 0.957355i | \(0.406706\pi\) | |||||||
\(692\) | 2.37184 | 0.0901638 | ||||||||
\(693\) | 4.83080 | + | 1.55141i | 0.183507 | + | 0.0589332i | ||||
\(694\) | −22.2099 | −0.843078 | ||||||||
\(695\) | −25.8464 | − | 14.9224i | −0.980410 | − | 0.566040i | ||||
\(696\) | −0.344965 | − | 5.15097i | −0.0130759 | − | 0.195247i | ||||
\(697\) | −42.5265 | − | 73.6581i | −1.61081 | − | 2.79000i | ||||
\(698\) | 8.70906 | − | 15.0845i | 0.329643 | − | 0.570958i | ||||
\(699\) | −1.51134 | + | 3.07571i | −0.0571642 | + | 0.116334i | ||||
\(700\) | −23.3090 | + | 1.84785i | −0.880998 | + | 0.0698423i | ||||
\(701\) | − | 13.5430i | − | 0.511511i | −0.966741 | − | 0.255756i | \(-0.917676\pi\) | ||
0.966741 | − | 0.255756i | \(-0.0823243\pi\) | |||||||
\(702\) | −4.92747 | − | 1.64926i | −0.185975 | − | 0.0622472i | ||||
\(703\) | −48.3067 | + | 27.8899i | −1.82192 | + | 1.05189i | ||||
\(704\) | −0.553597 | + | 0.319619i | −0.0208645 | + | 0.0120461i | ||||
\(705\) | −37.8389 | + | 25.3610i | −1.42509 | + | 0.955150i | ||||
\(706\) | − | 28.9209i | − | 1.08845i | ||||||
\(707\) | −2.01757 | + | 4.23616i | −0.0758787 | + | 0.159317i | ||||
\(708\) | −4.20090 | − | 2.06424i | −0.157879 | − | 0.0775787i | ||||
\(709\) | 1.67931 | − | 2.90864i | 0.0630677 | − | 0.109236i | −0.832768 | − | 0.553623i | \(-0.813245\pi\) |
0.895835 | + | 0.444386i | \(0.146578\pi\) | |||||||
\(710\) | 20.2905 | + | 35.1442i | 0.761488 | + | 1.31894i | ||||
\(711\) | 11.4201 | − | 27.7937i | 0.428286 | − | 1.04234i | ||||
\(712\) | 3.37839 | + | 1.95052i | 0.126611 | + | 0.0730987i | ||||
\(713\) | −3.30555 | −0.123794 | ||||||||
\(714\) | −20.7038 | − | 26.1553i | −0.774819 | − | 0.978836i | ||||
\(715\) | −2.37790 | −0.0889285 | ||||||||
\(716\) | 8.34373 | + | 4.81725i | 0.311820 | + | 0.180029i | ||||
\(717\) | −18.5039 | + | 1.23922i | −0.691041 | + | 0.0462795i | ||||
\(718\) | −2.03087 | − | 3.51757i | −0.0757914 | − | 0.131275i | ||||
\(719\) | −5.76707 | + | 9.98887i | −0.215076 | + | 0.372522i | −0.953296 | − | 0.302038i | \(-0.902333\pi\) |
0.738220 | + | 0.674560i | \(0.235666\pi\) | |||||||
\(720\) | 6.81872 | + | 8.83423i | 0.254119 | + | 0.329232i | ||||
\(721\) | −1.73020 | − | 21.8249i | −0.0644360 | − | 0.812802i | ||||
\(722\) | − | 9.54793i | − | 0.355337i | ||||||
\(723\) | −19.0901 | − | 28.4826i | −0.709967 | − | 1.05928i | ||||
\(724\) | 9.23515 | − | 5.33192i | 0.343222 | − | 0.198159i | ||||
\(725\) | −22.8122 | + | 13.1706i | −0.847223 | + | 0.489144i | ||||
\(726\) | 10.2135 | + | 15.2386i | 0.379058 | + | 0.565559i | ||||
\(727\) | 22.1982i | 0.823284i | 0.911346 | + | 0.411642i | \(0.135045\pi\) | ||||
−0.911346 | + | 0.411642i | \(0.864955\pi\) | |||||||
\(728\) | −1.49982 | − | 2.17958i | −0.0555868 | − | 0.0807805i | ||||
\(729\) | −24.8557 | + | 10.5448i | −0.920583 | + | 0.390547i | ||||
\(730\) | −17.8005 | + | 30.8314i | −0.658827 | + | 1.14112i | ||||
\(731\) | −13.0210 | − | 22.5531i | −0.481601 | − | 0.834157i | ||||
\(732\) | −19.9635 | + | 1.33697i | −0.737871 | + | 0.0494158i | ||||
\(733\) | 17.0396 | + | 9.83784i | 0.629373 | + | 0.363369i | 0.780509 | − | 0.625144i | \(-0.214960\pi\) |
−0.151136 | + | 0.988513i | \(0.548293\pi\) | |||||||
\(734\) | −9.26062 | −0.341816 | ||||||||
\(735\) | 33.0403 | − | 30.6996i | 1.21871 | − | 1.13237i | ||||
\(736\) | −4.70754 | −0.173522 | ||||||||
\(737\) | −1.27753 | − | 0.737582i | −0.0470584 | − | 0.0271692i | ||||
\(738\) | −32.4226 | − | 13.3220i | −1.19349 | − | 0.490391i | ||||
\(739\) | −4.31359 | − | 7.47135i | −0.158678 | − | 0.274838i | 0.775714 | − | 0.631084i | \(-0.217390\pi\) |
−0.934392 | + | 0.356246i | \(0.884056\pi\) | |||||||
\(740\) | −19.4174 | + | 33.6319i | −0.713796 | + | 1.23633i | ||||
\(741\) | 8.30582 | + | 4.08131i | 0.305122 | + | 0.149931i | ||||
\(742\) | −11.5327 | − | 16.7597i | −0.423379 | − | 0.615267i | ||||
\(743\) | 11.8689i | 0.435428i | 0.976013 | + | 0.217714i | \(0.0698601\pi\) | ||||
−0.976013 | + | 0.217714i | \(0.930140\pi\) | |||||||
\(744\) | 1.01028 | − | 0.677129i | 0.0370388 | − | 0.0248247i | ||||
\(745\) | 48.1617 | − | 27.8062i | 1.76451 | − | 1.01874i | ||||
\(746\) | 5.31539 | − | 3.06884i | 0.194610 | − | 0.112358i | ||||
\(747\) | 19.9316 | − | 2.68170i | 0.729260 | − | 0.0981183i | ||||
\(748\) | 4.65320i | 0.170138i | ||||||||
\(749\) | 3.48468 | + | 43.9561i | 0.127327 | + | 1.60612i | ||||
\(750\) | 10.9045 | − | 22.1916i | 0.398176 | − | 0.810322i | ||||
\(751\) | 22.4815 | − | 38.9390i | 0.820360 | − | 1.42091i | −0.0850545 | − | 0.996376i | \(-0.527106\pi\) |
0.905414 | − | 0.424529i | \(-0.139560\pi\) | |||||||
\(752\) | 3.53495 | + | 6.12272i | 0.128906 | + | 0.223272i | ||||
\(753\) | −3.14924 | − | 47.0241i | −0.114765 | − | 1.71365i | ||||
\(754\) | −2.58126 | − | 1.49029i | −0.0940038 | − | 0.0542731i | ||||
\(755\) | −21.1355 | −0.769200 | ||||||||
\(756\) | −13.3409 | − | 3.31959i | −0.485205 | − | 0.120732i | ||||
\(757\) | 23.3891 | 0.850093 | 0.425046 | − | 0.905172i | \(-0.360258\pi\) | ||||
0.425046 | + | 0.905172i | \(0.360258\pi\) | |||||||
\(758\) | −13.7866 | − | 7.95971i | −0.500752 | − | 0.289110i | ||||
\(759\) | −0.348283 | − | 5.20052i | −0.0126419 | − | 0.188767i | ||||
\(760\) | −9.93775 | − | 17.2127i | −0.360480 | − | 0.624370i | ||||
\(761\) | −23.3116 | + | 40.3768i | −0.845044 | + | 1.46366i | 0.0405392 | + | 0.999178i | \(0.487092\pi\) |
−0.885583 | + | 0.464481i | \(0.846241\pi\) | |||||||
\(762\) | 2.05228 | − | 4.17657i | 0.0743463 | − | 0.151301i | ||||
\(763\) | 11.4386 | − | 24.0168i | 0.414105 | − | 0.869467i | ||||
\(764\) | 9.74865i | 0.352694i | ||||||||
\(765\) | 80.5090 | − | 10.8321i | 2.91081 | − | 0.391635i | ||||
\(766\) | −23.8462 | + | 13.7676i | −0.861597 | + | 0.497443i | ||||
\(767\) | −2.34033 | + | 1.35119i | −0.0845045 | + | 0.0487887i | ||||
\(768\) | 1.43878 | − | 0.964322i | 0.0519175 | − | 0.0347970i | ||||
\(769\) | 29.3721i | 1.05918i | 0.848252 | + | 0.529592i | \(0.177655\pi\) | ||||
−0.848252 | + | 0.529592i | \(0.822345\pi\) | |||||||
\(770\) | −6.27166 | + | 0.497194i | −0.226015 | + | 0.0179176i | ||||
\(771\) | 35.3661 | + | 17.3782i | 1.27368 | + | 0.625860i | ||||
\(772\) | 1.46371 | − | 2.53522i | 0.0526801 | − | 0.0912446i | ||||
\(773\) | 27.2086 | + | 47.1267i | 0.978626 | + | 1.69503i | 0.667411 | + | 0.744690i | \(0.267403\pi\) |
0.311215 | + | 0.950340i | \(0.399264\pi\) | |||||||
\(774\) | −9.92735 | − | 4.07903i | −0.356831 | − | 0.146618i | ||||
\(775\) | −5.37422 | − | 3.10281i | −0.193048 | − | 0.111456i | ||||
\(776\) | 3.50071 | 0.125668 | ||||||||
\(777\) | −6.95912 | − | 47.3320i | −0.249657 | − | 1.69803i | ||||
\(778\) | −18.6746 | −0.669518 | ||||||||
\(779\) | 54.0655 | + | 31.2147i | 1.93710 | + | 1.11838i | ||||
\(780\) | 6.42865 | − | 0.430532i | 0.230183 | − | 0.0154155i | ||||
\(781\) | 3.48678 | + | 6.03929i | 0.124767 | + | 0.216103i | ||||
\(782\) | −17.1338 | + | 29.6765i | −0.612702 | + | 1.06123i | ||||
\(783\) | −15.1769 | + | 3.08620i | −0.542379 | + | 0.110292i | ||||
\(784\) | −4.41145 | − | 5.43499i | −0.157552 | − | 0.194107i | ||||
\(785\) | − | 16.1814i | − | 0.577540i | ||||||
\(786\) | 6.06100 | + | 9.04307i | 0.216189 | + | 0.322556i | ||||
\(787\) | −1.22692 | + | 0.708362i | −0.0437349 | + | 0.0252504i | −0.521708 | − | 0.853124i | \(-0.674705\pi\) |
0.477973 | + | 0.878374i | \(0.341372\pi\) | |||||||
\(788\) | 2.25737 | − | 1.30329i | 0.0804153 | − | 0.0464278i | ||||
\(789\) | −1.85673 | − | 2.77026i | −0.0661013 | − | 0.0986238i | ||||
\(790\) | 37.2590i | 1.32561i | ||||||||
\(791\) | 20.8300 | − | 14.3336i | 0.740628 | − | 0.509643i | ||||
\(792\) | 1.17175 | + | 1.51810i | 0.0416364 | + | 0.0539434i | ||||
\(793\) | −5.77587 | + | 10.0041i | −0.205107 | + | 0.355256i | ||||
\(794\) | 1.49527 | + | 2.58988i | 0.0530650 | + | 0.0919113i | ||||
\(795\) | 49.4325 | − | 3.31054i | 1.75319 | − | 0.117413i | ||||
\(796\) | −9.74629 | − | 5.62702i | −0.345448 | − | 0.199445i | ||||
\(797\) | 22.8484 | 0.809331 | 0.404665 | − | 0.914465i | \(-0.367388\pi\) | ||||
0.404665 | + | 0.914465i | \(0.367388\pi\) | |||||||
\(798\) | 22.7598 | + | 9.02771i | 0.805687 | + | 0.319577i | ||||
\(799\) | 51.4638 | 1.82066 | ||||||||
\(800\) | −7.65361 | − | 4.41881i | −0.270596 | − | 0.156229i | ||||
\(801\) | 4.44783 | − | 10.8249i | 0.157156 | − | 0.382480i | ||||
\(802\) | −5.01418 | − | 8.68481i | −0.177057 | − | 0.306671i | ||||
\(803\) | −3.05890 | + | 5.29817i | −0.107946 | + | 0.186968i | ||||
\(804\) | 3.58734 | + | 1.76275i | 0.126516 | + | 0.0621673i | ||||
\(805\) | −41.8293 | − | 19.9222i | −1.47429 | − | 0.702167i | ||||
\(806\) | − | 0.702181i | − | 0.0247333i | ||||||
\(807\) | −26.7535 | + | 17.9311i | −0.941767 | + | 0.631206i | ||||
\(808\) | −1.53584 | + | 0.886720i | −0.0540308 | + | 0.0311947i | ||||
\(809\) | 16.9162 | − | 9.76655i | 0.594740 | − | 0.343374i | −0.172229 | − | 0.985057i | \(-0.555097\pi\) |
0.766970 | + | 0.641683i | \(0.221764\pi\) | |||||||
\(810\) | 23.5383 | − | 23.8075i | 0.827052 | − | 0.836509i | ||||
\(811\) | 44.6035i | 1.56624i | 0.621870 | + | 0.783120i | \(0.286373\pi\) | ||||
−0.621870 | + | 0.783120i | \(0.713627\pi\) | |||||||
\(812\) | −7.11960 | − | 3.39089i | −0.249849 | − | 0.118997i | ||||
\(813\) | 4.48637 | − | 9.13014i | 0.157344 | − | 0.320208i | ||||
\(814\) | −3.33674 | + | 5.77941i | −0.116953 | + | 0.202568i | ||||
\(815\) | 43.5145 | + | 75.3693i | 1.52425 | + | 2.64007i | ||||
\(816\) | −0.842486 | − | 12.5799i | −0.0294929 | − | 0.440384i | ||||
\(817\) | 16.5541 | + | 9.55751i | 0.579155 | + | 0.334375i | ||||
\(818\) | −32.4173 | −1.13344 | ||||||||
\(819\) | −5.88037 | + | 5.33116i | −0.205477 | + | 0.186286i | ||||
\(820\) | 43.4643 | 1.51784 | ||||||||
\(821\) | −30.6156 | − | 17.6759i | −1.06849 | − | 0.616894i | −0.140723 | − | 0.990049i | \(-0.544943\pi\) |
−0.927769 | + | 0.373155i | \(0.878276\pi\) | |||||||
\(822\) | 1.67079 | + | 24.9480i | 0.0582755 | + | 0.870163i | ||||
\(823\) | −28.0658 | − | 48.6113i | −0.978311 | − | 1.69448i | −0.668544 | − | 0.743672i | \(-0.733082\pi\) |
−0.309767 | − | 0.950813i | \(-0.600251\pi\) | |||||||
\(824\) | 4.13746 | − | 7.16629i | 0.144135 | − | 0.249649i | ||||
\(825\) | 4.31530 | − | 8.78201i | 0.150240 | − | 0.305750i | ||||
\(826\) | −5.89005 | + | 4.05307i | −0.204941 | + | 0.141024i | ||||
\(827\) | 5.37342i | 0.186852i | 0.995626 | + | 0.0934261i | \(0.0297819\pi\) | ||||
−0.995626 | + | 0.0934261i | \(0.970218\pi\) | |||||||
\(828\) | 1.88316 | + | 13.9965i | 0.0654444 | + | 0.486413i | ||||
\(829\) | 22.5316 | − | 13.0086i | 0.782554 | − | 0.451808i | −0.0547805 | − | 0.998498i | \(-0.517446\pi\) |
0.837335 | + | 0.546691i | \(0.184113\pi\) | |||||||
\(830\) | −21.5963 | + | 12.4686i | −0.749617 | + | 0.432792i | ||||
\(831\) | 10.3133 | − | 6.91233i | 0.357763 | − | 0.239786i | ||||
\(832\) | − | 1.00000i | − | 0.0346688i | ||||||
\(833\) | −50.3184 | + | 8.02858i | −1.74343 | + | 0.278174i | ||||
\(834\) | 12.4719 | + | 6.12846i | 0.431868 | + | 0.212211i | ||||
\(835\) | 4.53760 | − | 7.85935i | 0.157030 | − | 0.271984i | ||||
\(836\) | −1.70774 | − | 2.95788i | −0.0590633 | − | 0.102301i | ||||
\(837\) | −2.41739 | − | 2.73291i | −0.0835572 | − | 0.0944633i | ||||
\(838\) | −30.3692 | − | 17.5337i | −1.04909 | − | 0.605691i | ||||
\(839\) | −33.1916 | −1.14590 | −0.572950 | − | 0.819590i | \(-0.694201\pi\) | ||||
−0.572950 | + | 0.819590i | \(0.694201\pi\) | |||||||
\(840\) | 16.8654 | − | 2.47968i | 0.581911 | − | 0.0855571i | ||||
\(841\) | 20.1162 | 0.693661 | ||||||||
\(842\) | −10.4350 | − | 6.02468i | −0.359615 | − | 0.207624i | ||||
\(843\) | 2.71285 | − | 0.181682i | 0.0934355 | − | 0.00625745i | ||||
\(844\) | 0.486288 | + | 0.842276i | 0.0167387 | + | 0.0289923i | ||||
\(845\) | 1.85995 | − | 3.22152i | 0.0639841 | − | 0.110824i | ||||
\(846\) | 16.7900 | − | 12.9594i | 0.577253 | − | 0.445554i | ||||
\(847\) | 27.9345 | − | 2.21455i | 0.959841 | − | 0.0760927i | ||||
\(848\) | − | 7.68941i | − | 0.264056i | ||||||
\(849\) | 19.3258 | + | 28.8344i | 0.663261 | + | 0.989594i | ||||
\(850\) | −55.7127 | + | 32.1657i | −1.91093 | + | 1.10328i | ||||
\(851\) | −42.5613 | + | 24.5728i | −1.45898 | + | 0.842343i | ||||
\(852\) | −10.5199 | − | 15.6959i | −0.360407 | − | 0.537732i | ||||
\(853\) | 45.1819i | 1.54700i | 0.633797 | + | 0.773499i | \(0.281495\pi\) | ||||
−0.633797 | + | 0.773499i | \(0.718505\pi\) | |||||||
\(854\) | −13.1420 | + | 27.5932i | −0.449709 | + | 0.944221i | ||||
\(855\) | −47.2015 | + | 36.4326i | −1.61426 | + | 1.24597i | ||||
\(856\) | −8.33299 | + | 14.4332i | −0.284816 | + | 0.493315i | ||||
\(857\) | −16.9269 | − | 29.3183i | −0.578212 | − | 1.00149i | −0.995684 | − | 0.0928029i | \(-0.970417\pi\) |
0.417473 | − | 0.908690i | \(-0.362916\pi\) | |||||||
\(858\) | 1.10472 | − | 0.0739840i | 0.0377145 | − | 0.00252577i | ||||
\(859\) | 48.6477 | + | 28.0868i | 1.65984 | + | 0.958309i | 0.972787 | + | 0.231700i | \(0.0744288\pi\) |
0.687052 | + | 0.726608i | \(0.258905\pi\) | |||||||
\(860\) | 13.3082 | 0.453805 | ||||||||
\(861\) | −41.9830 | + | 33.2325i | −1.43078 | + | 1.13256i | ||||
\(862\) | 14.0027 | 0.476933 | ||||||||
\(863\) | 13.2859 | + | 7.67064i | 0.452258 | + | 0.261111i | 0.708784 | − | 0.705426i | \(-0.249244\pi\) |
−0.256525 | + | 0.966538i | \(0.582578\pi\) | |||||||
\(864\) | −3.44269 | − | 3.89203i | −0.117123 | − | 0.132410i | ||||
\(865\) | 4.41150 | + | 7.64093i | 0.149995 | + | 0.259800i | ||||
\(866\) | 11.8632 | − | 20.5477i | 0.403129 | − | 0.698240i | ||||
\(867\) | −55.9437 | − | 27.4896i | −1.89995 | − | 0.933596i | ||||
\(868\) | −0.146819 | − | 1.85199i | −0.00498335 | − | 0.0628605i | ||||
\(869\) | 6.40270i | 0.217197i | ||||||||
\(870\) | 15.9524 | − | 10.6919i | 0.540836 | − | 0.362488i | ||||
\(871\) | 1.99852 | − | 1.15384i | 0.0677172 | − | 0.0390965i | ||||
\(872\) | 8.70744 | − | 5.02724i | 0.294871 | − | 0.170244i | ||||
\(873\) | −1.40039 | − | 10.4083i | −0.0473960 | − | 0.352269i | ||||
\(874\) | − | 25.1525i | − | 0.850797i | ||||||
\(875\) | −21.4107 | − | 31.1147i | −0.723814 | − | 1.05187i | ||||
\(876\) | 7.31046 | − | 14.8774i | 0.246998 | − | 0.502661i | ||||
\(877\) | 27.0824 | − | 46.9081i | 0.914508 | − | 1.58397i | 0.106888 | − | 0.994271i | \(-0.465912\pi\) |
0.807620 | − | 0.589703i | \(-0.200755\pi\) | |||||||
\(878\) | 13.7437 | + | 23.8048i | 0.463827 | + | 0.803372i | ||||
\(879\) | 1.97639 | + | 29.5112i | 0.0666619 | + | 0.995387i | ||||
\(880\) | −2.05932 | − | 1.18895i | −0.0694198 | − | 0.0400795i | ||||
\(881\) | 33.5277 | 1.12958 | 0.564788 | − | 0.825236i | \(-0.308958\pi\) | ||||
0.564788 | + | 0.825236i | \(0.308958\pi\) | |||||||
\(882\) | −14.3946 | + | 15.2903i | −0.484693 | + | 0.514852i | ||||
\(883\) | 18.1979 | 0.612407 | 0.306203 | − | 0.951966i | \(-0.400941\pi\) | ||||
0.306203 | + | 0.951966i | \(0.400941\pi\) | |||||||
\(884\) | −6.30404 | − | 3.63964i | −0.212028 | − | 0.122414i | ||||
\(885\) | −1.16346 | − | 17.3727i | −0.0391093 | − | 0.583976i | ||||
\(886\) | 11.3770 | + | 19.7056i | 0.382219 | + | 0.662023i | ||||
\(887\) | −3.80995 | + | 6.59903i | −0.127926 | + | 0.221574i | −0.922873 | − | 0.385105i | \(-0.874165\pi\) |
0.794947 | + | 0.606679i | \(0.207499\pi\) | |||||||
\(888\) | 7.97447 | − | 16.2287i | 0.267606 | − | 0.544601i | ||||
\(889\) | −4.02960 | − | 5.85594i | −0.135148 | − | 0.196402i | ||||
\(890\) | 14.5114i | 0.486424i | ||||||||
\(891\) | 4.04490 | − | 4.09115i | 0.135509 | − | 0.137059i | ||||
\(892\) | 10.1864 | − | 5.88114i | 0.341067 | − | 0.196915i | ||||
\(893\) | −32.7138 | + | 18.8873i | −1.09473 | + | 0.632041i | ||||
\(894\) | −21.5097 | + | 14.4166i | −0.719392 | + | 0.482163i | ||||
\(895\) | 35.8394i | 1.19798i | ||||||||
\(896\) | −0.209090 | − | 2.63748i | −0.00698519 | − | 0.0881119i | ||||
\(897\) | 7.31796 | + | 3.59590i | 0.244339 | + | 0.120063i | ||||
\(898\) | 6.11710 | − | 10.5951i | 0.204130 | − | 0.353564i | ||||
\(899\) | −1.04645 | − | 1.81251i | −0.0349012 | − | 0.0604506i | ||||
\(900\) | −10.0764 | + | 24.5234i | −0.335879 | + | 0.817448i | ||||
\(901\) | −48.4743 | − | 27.9867i | −1.61491 | − | 0.932371i | ||||
\(902\) | 7.46905 | 0.248692 | ||||||||
\(903\) | −12.8546 | + | 10.1753i | −0.427774 | + | 0.338614i | ||||
\(904\) | 9.55689 | 0.317857 | ||||||||
\(905\) | 34.3538 | + | 19.8342i | 1.14196 | + | 0.659310i | ||||
\(906\) | 9.81908 | − | 0.657592i | 0.326217 | − | 0.0218470i | ||||
\(907\) | −14.0093 | − | 24.2648i | −0.465171 | − | 0.805700i | 0.534038 | − | 0.845460i | \(-0.320674\pi\) |
−0.999209 | + | 0.0397603i | \(0.987341\pi\) | |||||||
\(908\) | 3.46041 | − | 5.99360i | 0.114838 | − | 0.198905i | ||||
\(909\) | 3.25079 | + | 4.21167i | 0.107822 | + | 0.139692i | ||||
\(910\) | 4.23198 | − | 8.88559i | 0.140289 | − | 0.294554i | ||||
\(911\) | 10.0668i | 0.333529i | 0.985997 | + | 0.166765i | \(0.0533320\pi\) | ||||
−0.985997 | + | 0.166765i | \(0.946668\pi\) | |||||||
\(912\) | 5.15240 | + | 7.68743i | 0.170613 | + | 0.254556i | ||||
\(913\) | −3.71117 | + | 2.14265i | −0.122822 | + | 0.0709112i | ||||
\(914\) | 16.3187 | − | 9.42161i | 0.539775 | − | 0.311639i | ||||
\(915\) | −41.4381 | − | 61.8261i | −1.36990 | − | 2.04391i | ||||
\(916\) | − | 9.99228i | − | 0.330154i | ||||||
\(917\) | 16.5772 | − | 1.31418i | 0.547427 | − | 0.0433980i | ||||
\(918\) | −37.0656 | + | 7.53723i | −1.22335 | + | 0.248766i | ||||
\(919\) | 2.87061 | − | 4.97204i | 0.0946926 | − | 0.164012i | −0.814788 | − | 0.579759i | \(-0.803147\pi\) |
0.909480 | + | 0.415747i | \(0.136480\pi\) | |||||||
\(920\) | −8.75579 | − | 15.1655i | −0.288670 | − | 0.499991i | ||||
\(921\) | −3.93239 | + | 0.263356i | −0.129577 | + | 0.00867786i | ||||
\(922\) | 16.2575 | + | 9.38627i | 0.535412 | + | 0.309120i | ||||
\(923\) | −10.9092 | −0.359080 | ||||||||
\(924\) | 2.89820 | − | 0.426116i | 0.0953439 | − | 0.0140182i | ||||
\(925\) | −92.2624 | −3.03357 | ||||||||
\(926\) | −18.9188 | − | 10.9228i | −0.621710 | − | 0.358944i | ||||
\(927\) | −22.9620 | − | 9.43479i | −0.754171 | − | 0.309879i | ||||
\(928\) | −1.49029 | − | 2.58126i | −0.0489211 | − | 0.0847339i | ||||
\(929\) | −19.1734 | + | 33.2093i | −0.629058 | + | 1.08956i | 0.358683 | + | 0.933460i | \(0.383226\pi\) |
−0.987741 | + | 0.156101i | \(0.950107\pi\) | |||||||
\(930\) | 4.06046 | + | 1.99523i | 0.133148 | + | 0.0654261i | ||||
\(931\) | 29.0393 | − | 23.5705i | 0.951724 | − | 0.772492i | ||||
\(932\) | 1.97856i | 0.0648100i | ||||||||
\(933\) | −31.2518 | + | 20.9461i | −1.02314 | + | 0.685744i | ||||
\(934\) | 23.6028 | − | 13.6271i | 0.772307 | − | 0.445891i | ||||
\(935\) | −14.9904 | + | 8.65470i | −0.490238 | + | 0.283039i | ||||
\(936\) | −2.97321 | + | 0.400031i | −0.0971824 | + | 0.0130754i | ||||
\(937\) | − | 5.20813i | − | 0.170142i | −0.996375 | − | 0.0850711i | \(-0.972888\pi\) | ||
0.996375 | − | 0.0850711i | \(-0.0271117\pi\) | |||||||
\(938\) | 5.02978 | − | 3.46111i | 0.164228 | − | 0.113009i | ||||
\(939\) | 12.6612 | − | 25.7667i | 0.413184 | − | 0.840865i | ||||
\(940\) | −13.1496 | + | 22.7759i | −0.428894 | + | 0.742867i | ||||
\(941\) | −16.0739 | − | 27.8409i | −0.523995 | − | 0.907586i | −0.999610 | − | 0.0279326i | \(-0.991108\pi\) |
0.475615 | − | 0.879654i | \(-0.342226\pi\) | |||||||
\(942\) | 0.503455 | + | 7.51753i | 0.0164035 | + | 0.244934i | ||||
\(943\) | 47.6351 | + | 27.5021i | 1.55121 | + | 0.895593i | ||||
\(944\) | −2.70238 | −0.0879550 | ||||||||
\(945\) | −14.1193 | − | 49.1524i | −0.459300 | − | 1.59893i | ||||
\(946\) | 2.28692 | 0.0743542 | ||||||||
\(947\) | −23.4484 | − | 13.5380i | −0.761971 | − | 0.439924i | 0.0680317 | − | 0.997683i | \(-0.478328\pi\) |
−0.830003 | + | 0.557759i | \(0.811661\pi\) | |||||||
\(948\) | −1.15924 | − | 17.3097i | −0.0376505 | − | 0.562192i | ||||
\(949\) | −4.78522 | − | 8.28825i | −0.155335 | − | 0.269048i | ||||
\(950\) | 23.6098 | − | 40.8934i | 0.766004 | − | 1.32676i | ||||
\(951\) | 6.28646 | − | 12.7935i | 0.203852 | − | 0.414857i | ||||
\(952\) | −17.3878 | − | 8.28135i | −0.563540 | − | 0.268400i | ||||
\(953\) | − | 8.80705i | − | 0.285288i | −0.989774 | − | 0.142644i | \(-0.954440\pi\) | ||
0.989774 | − | 0.142644i | \(-0.0455604\pi\) | |||||||
\(954\) | −22.8622 | + | 3.07600i | −0.740192 | + | 0.0995892i | ||||
\(955\) | −31.4055 | + | 18.1320i | −1.01626 | + | 0.586737i | ||||
\(956\) | −9.27267 | + | 5.35358i | −0.299900 | + | 0.173147i | ||||
\(957\) | 2.74131 | − | 1.83732i | 0.0886139 | − | 0.0593922i | ||||
\(958\) | 8.15791i | 0.263570i | ||||||||
\(959\) | 34.4828 | + | 16.4233i | 1.11351 | + | 0.530336i | ||||
\(960\) | 5.78264 | + | 2.84147i | 0.186634 | + | 0.0917081i | ||||
\(961\) | −15.2535 | + | 26.4198i | −0.492047 | + | 0.852251i | ||||
\(962\) | −5.21987 | − | 9.04107i | −0.168295 | − | 0.291496i | ||||
\(963\) | 46.2463 | + | 19.0020i | 1.49027 | + | 0.612331i | ||||
\(964\) | −17.1442 | − | 9.89818i | −0.552176 | − | 0.318799i | ||||
\(965\) | 10.8897 | 0.350552 | ||||||||
\(966\) | 20.0528 | + | 7.95398i | 0.645188 | + | 0.255915i | ||||
\(967\) | 48.3827 | 1.55588 | 0.777942 | − | 0.628336i | \(-0.216264\pi\) | ||||
0.777942 | + | 0.628336i | \(0.216264\pi\) | |||||||
\(968\) | 9.17240 | + | 5.29569i | 0.294812 | + | 0.170210i | ||||
\(969\) | 67.2147 | − | 4.50142i | 2.15925 | − | 0.144607i | ||||
\(970\) | 6.51113 | + | 11.2776i | 0.209060 | + | 0.362102i | ||||
\(971\) | −0.914961 | + | 1.58476i | −0.0293625 | + | 0.0508574i | −0.880333 | − | 0.474356i | \(-0.842681\pi\) |
0.850971 | + | 0.525213i | \(0.176014\pi\) | |||||||
\(972\) | −10.1946 | + | 11.7928i | −0.326993 | + | 0.378253i | ||||
\(973\) | 17.4868 | − | 12.0331i | 0.560602 | − | 0.385763i | ||||
\(974\) | − | 31.5708i | − | 1.01159i | ||||||
\(975\) | 8.52231 | + | 12.7154i | 0.272932 | + | 0.407218i | ||||
\(976\) | −10.0041 | + | 5.77587i | −0.320223 | + | 0.184881i | ||||
\(977\) | −27.4543 | + | 15.8507i | −0.878341 | + | 0.507110i | −0.870111 | − | 0.492856i | \(-0.835953\pi\) |
−0.00822977 | + | 0.999966i | \(0.502620\pi\) | |||||||
\(978\) | −22.5608 | − | 33.6610i | −0.721415 | − | 1.07636i | ||||
\(979\) | 2.49369i | 0.0796987i | ||||||||
\(980\) | 9.30387 | − | 24.3204i | 0.297201 | − | 0.776887i | ||||
\(981\) | −18.4303 | − | 23.8780i | −0.588434 | − | 0.762366i | ||||
\(982\) | 5.22326 | − | 9.04695i | 0.166681 | − | 0.288700i | ||||
\(983\) | 1.09220 | + | 1.89174i | 0.0348357 | + | 0.0603372i | 0.882918 | − | 0.469528i | \(-0.155576\pi\) |
−0.848082 | + | 0.529865i | \(0.822243\pi\) | |||||||
\(984\) | −20.1925 | + | 1.35231i | −0.643714 | + | 0.0431101i | ||||
\(985\) | 8.39717 | + | 4.84811i | 0.267556 | + | 0.154474i | ||||
\(986\) | −21.6964 | −0.690955 | ||||||||
\(987\) | −4.71279 | − | 32.0538i | −0.150010 | − | 1.02028i | ||||
\(988\) | 5.34303 | 0.169984 | ||||||||
\(989\) | 14.5852 | + | 8.42077i | 0.463783 | + | 0.267765i | ||||
\(990\) | −2.71121 | + | 6.59842i | −0.0861679 | + | 0.209711i | ||||
\(991\) | 3.92400 | + | 6.79656i | 0.124650 | + | 0.215900i | 0.921596 | − | 0.388150i | \(-0.126886\pi\) |
−0.796946 | + | 0.604050i | \(0.793553\pi\) | |||||||
\(992\) | 0.351091 | − | 0.608107i | 0.0111471 | − | 0.0193074i | ||||
\(993\) | −35.1453 | − | 17.2697i | −1.11530 | − | 0.548037i | ||||
\(994\) | −28.7727 | + | 2.28099i | −0.912614 | + | 0.0723487i | ||||
\(995\) | − | 41.8639i | − | 1.32717i | ||||||
\(996\) | 9.64520 | − | 6.46456i | 0.305620 | − | 0.204837i | ||||
\(997\) | 42.0066 | − | 24.2525i | 1.33036 | − | 0.768085i | 0.345008 | − | 0.938600i | \(-0.387876\pi\) |
0.985355 | + | 0.170514i | \(0.0545429\pi\) | |||||||
\(998\) | 15.6183 | − | 9.01724i | 0.494389 | − | 0.285436i | ||||
\(999\) | −51.4415 | − | 17.2178i | −1.62754 | − | 0.544747i |
(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 | 546.2.z.a.131.5 | ✓ | 32 | |
3.2 | odd | 2 | 546.2.z.b.131.9 | yes | 32 | ||
7.3 | odd | 6 | 546.2.z.b.521.9 | yes | 32 | ||
21.17 | even | 6 | inner | 546.2.z.a.521.5 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.z.a.131.5 | ✓ | 32 | 1.1 | even | 1 | trivial | |
546.2.z.a.521.5 | yes | 32 | 21.17 | even | 6 | inner | |
546.2.z.b.131.9 | yes | 32 | 3.2 | odd | 2 | ||
546.2.z.b.521.9 | yes | 32 | 7.3 | odd | 6 |