Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.5 | ||
Character | \(\chi\) | \(=\) | 546.145 |
Dual form | 546.2.cg.a.241.5 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | −3.46134 | + | 0.927465i | −1.54796 | + | 0.414775i | −0.928828 | − | 0.370512i | \(-0.879182\pi\) |
−0.619133 | + | 0.785286i | \(0.712516\pi\) | |||||||
\(6\) | 0.965926 | − | 0.258819i | 0.394338 | − | 0.105662i | ||||
\(7\) | −1.74330 | + | 1.99020i | −0.658907 | + | 0.752225i | ||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −1.79172 | + | 3.10336i | −0.566593 | + | 0.981368i | ||||
\(11\) | −3.84991 | + | 1.03158i | −1.16079 | + | 0.311033i | −0.787282 | − | 0.616593i | \(-0.788512\pi\) |
−0.373509 | + | 0.927626i | \(0.621846\pi\) | |||||||
\(12\) | 0.500000 | − | 0.866025i | 0.144338 | − | 0.250000i | ||||
\(13\) | −3.05596 | − | 1.91340i | −0.847572 | − | 0.530681i | ||||
\(14\) | 0.174582 | + | 2.63999i | 0.0466591 | + | 0.705566i | ||||
\(15\) | −3.46134 | − | 0.927465i | −0.893715 | − | 0.239470i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −4.31782 | −1.04722 | −0.523612 | − | 0.851957i | \(-0.675416\pi\) | ||||
−0.523612 | + | 0.851957i | \(0.675416\pi\) | |||||||
\(18\) | 0.965926 | + | 0.258819i | 0.227671 | + | 0.0610042i | ||||
\(19\) | 1.87046 | − | 6.98067i | 0.429114 | − | 1.60147i | −0.325658 | − | 0.945487i | \(-0.605586\pi\) |
0.754772 | − | 0.655987i | \(-0.227747\pi\) | |||||||
\(20\) | 0.927465 | + | 3.46134i | 0.207387 | + | 0.773980i | ||||
\(21\) | −2.50484 | + | 0.851912i | −0.546602 | + | 0.185902i | ||||
\(22\) | −1.99286 | + | 3.45173i | −0.424879 | + | 0.735912i | ||||
\(23\) | 0.712056i | 0.148474i | 0.997241 | + | 0.0742370i | \(0.0236521\pi\) | ||||
−0.997241 | + | 0.0742370i | \(0.976348\pi\) | |||||||
\(24\) | −0.258819 | − | 0.965926i | −0.0528312 | − | 0.197169i | ||||
\(25\) | 6.79059 | − | 3.92055i | 1.35812 | − | 0.784110i | ||||
\(26\) | −3.51387 | + | 0.807915i | −0.689126 | + | 0.158445i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | 1.99020 | + | 1.74330i | 0.376112 | + | 0.329453i | ||||
\(29\) | 4.49789 | + | 7.79058i | 0.835238 | + | 1.44667i | 0.893837 | + | 0.448393i | \(0.148003\pi\) |
−0.0585987 | + | 0.998282i | \(0.518663\pi\) | |||||||
\(30\) | −3.10336 | + | 1.79172i | −0.566593 | + | 0.327123i | ||||
\(31\) | −1.93392 | + | 7.21748i | −0.347342 | + | 1.29630i | 0.542510 | + | 0.840049i | \(0.317474\pi\) |
−0.889852 | + | 0.456249i | \(0.849193\pi\) | |||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | −3.84991 | − | 1.03158i | −0.670183 | − | 0.179575i | ||||
\(34\) | −3.05316 | + | 3.05316i | −0.523612 | + | 0.523612i | ||||
\(35\) | 4.18833 | − | 8.50562i | 0.707957 | − | 1.43771i | ||||
\(36\) | 0.866025 | − | 0.500000i | 0.144338 | − | 0.0833333i | ||||
\(37\) | 0.627321 | + | 0.627321i | 0.103131 | + | 0.103131i | 0.756790 | − | 0.653659i | \(-0.226767\pi\) |
−0.653659 | + | 0.756790i | \(0.726767\pi\) | |||||||
\(38\) | −3.61346 | − | 6.25869i | −0.586180 | − | 1.01529i | ||||
\(39\) | −1.68984 | − | 3.18503i | −0.270591 | − | 0.510013i | ||||
\(40\) | 3.10336 | + | 1.79172i | 0.490684 | + | 0.283296i | ||||
\(41\) | −0.511837 | + | 1.91020i | −0.0799356 | + | 0.298324i | −0.994307 | − | 0.106553i | \(-0.966019\pi\) |
0.914371 | + | 0.404876i | \(0.132685\pi\) | |||||||
\(42\) | −1.16880 | + | 2.37359i | −0.180350 | + | 0.366252i | ||||
\(43\) | 10.1649 | + | 5.86869i | 1.55013 | + | 0.894967i | 0.998130 | + | 0.0611213i | \(0.0194676\pi\) |
0.551998 | + | 0.833846i | \(0.313866\pi\) | |||||||
\(44\) | 1.03158 | + | 3.84991i | 0.155517 | + | 0.580395i | ||||
\(45\) | −2.53388 | − | 2.53388i | −0.377729 | − | 0.377729i | ||||
\(46\) | 0.503500 | + | 0.503500i | 0.0742370 | + | 0.0742370i | ||||
\(47\) | −0.430209 | − | 1.60556i | −0.0627524 | − | 0.234195i | 0.927426 | − | 0.374008i | \(-0.122017\pi\) |
−0.990178 | + | 0.139813i | \(0.955350\pi\) | |||||||
\(48\) | −0.866025 | − | 0.500000i | −0.125000 | − | 0.0721688i | ||||
\(49\) | −0.921790 | − | 6.93904i | −0.131684 | − | 0.991292i | ||||
\(50\) | 2.02943 | − | 7.57392i | 0.287004 | − | 1.07111i | ||||
\(51\) | −3.73934 | − | 2.15891i | −0.523612 | − | 0.302308i | ||||
\(52\) | −1.91340 | + | 3.05596i | −0.265341 | + | 0.423786i | ||||
\(53\) | −0.862951 | − | 1.49467i | −0.118535 | − | 0.205309i | 0.800652 | − | 0.599130i | \(-0.204487\pi\) |
−0.919187 | + | 0.393820i | \(0.871153\pi\) | |||||||
\(54\) | 0.707107 | + | 0.707107i | 0.0962250 | + | 0.0962250i | ||||
\(55\) | 12.3691 | − | 7.14131i | 1.66785 | − | 0.962934i | ||||
\(56\) | 2.63999 | − | 0.174582i | 0.352783 | − | 0.0233296i | ||||
\(57\) | 5.11020 | − | 5.11020i | 0.676863 | − | 0.676863i | ||||
\(58\) | 8.68926 | + | 2.32828i | 1.14096 | + | 0.305718i | ||||
\(59\) | −2.86582 | + | 2.86582i | −0.373098 | + | 0.373098i | −0.868605 | − | 0.495506i | \(-0.834983\pi\) |
0.495506 | + | 0.868605i | \(0.334983\pi\) | |||||||
\(60\) | −0.927465 | + | 3.46134i | −0.119735 | + | 0.446858i | ||||
\(61\) | −7.04381 | + | 4.06674i | −0.901867 | + | 0.520693i | −0.877805 | − | 0.479017i | \(-0.840993\pi\) |
−0.0240615 | + | 0.999710i | \(0.507660\pi\) | |||||||
\(62\) | 3.73604 | + | 6.47102i | 0.474478 | + | 0.821820i | ||||
\(63\) | −2.59521 | − | 0.514645i | −0.326966 | − | 0.0648391i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 12.3523 | + | 3.78863i | 1.53212 | + | 0.469922i | ||||
\(66\) | −3.45173 | + | 1.99286i | −0.424879 | + | 0.245304i | ||||
\(67\) | −3.29307 | − | 12.2899i | −0.402312 | − | 1.50145i | −0.808959 | − | 0.587865i | \(-0.799969\pi\) |
0.406647 | − | 0.913586i | \(-0.366698\pi\) | |||||||
\(68\) | 4.31782i | 0.523612i | ||||||||
\(69\) | −0.356028 | + | 0.616658i | −0.0428607 | + | 0.0742370i | ||||
\(70\) | −3.05278 | − | 8.97598i | −0.364877 | − | 1.07283i | ||||
\(71\) | −0.167008 | − | 0.623283i | −0.0198202 | − | 0.0739701i | 0.955307 | − | 0.295614i | \(-0.0955243\pi\) |
−0.975128 | + | 0.221644i | \(0.928858\pi\) | |||||||
\(72\) | 0.258819 | − | 0.965926i | 0.0305021 | − | 0.113835i | ||||
\(73\) | −3.77262 | − | 1.01087i | −0.441551 | − | 0.118313i | 0.0311922 | − | 0.999513i | \(-0.490070\pi\) |
−0.472743 | + | 0.881200i | \(0.656736\pi\) | |||||||
\(74\) | 0.887166 | 0.103131 | ||||||||
\(75\) | 7.84110 | 0.905412 | ||||||||
\(76\) | −6.98067 | − | 1.87046i | −0.800737 | − | 0.214557i | ||||
\(77\) | 4.65851 | − | 9.46044i | 0.530886 | − | 1.07812i | ||||
\(78\) | −3.44706 | − | 1.05726i | −0.390302 | − | 0.119711i | ||||
\(79\) | −2.49494 | + | 4.32136i | −0.280703 | + | 0.486191i | −0.971558 | − | 0.236802i | \(-0.923901\pi\) |
0.690855 | + | 0.722993i | \(0.257234\pi\) | |||||||
\(80\) | 3.46134 | − | 0.927465i | 0.386990 | − | 0.103694i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0.988794 | + | 1.71264i | 0.109194 | + | 0.189130i | ||||
\(83\) | −7.15916 | − | 7.15916i | −0.785820 | − | 0.785820i | 0.194986 | − | 0.980806i | \(-0.437534\pi\) |
−0.980806 | + | 0.194986i | \(0.937534\pi\) | |||||||
\(84\) | 0.851912 | + | 2.50484i | 0.0929512 | + | 0.273301i | ||||
\(85\) | 14.9455 | − | 4.00462i | 1.62106 | − | 0.434362i | ||||
\(86\) | 11.3374 | − | 3.03786i | 1.22255 | − | 0.327581i | ||||
\(87\) | 8.99579i | 0.964450i | ||||||||
\(88\) | 3.45173 | + | 1.99286i | 0.367956 | + | 0.212439i | ||||
\(89\) | −11.8393 | + | 11.8393i | −1.25497 | + | 1.25497i | −0.301503 | + | 0.953465i | \(0.597488\pi\) |
−0.953465 | + | 0.301503i | \(0.902512\pi\) | |||||||
\(90\) | −3.58345 | −0.377729 | ||||||||
\(91\) | 9.13551 | − | 2.74634i | 0.957662 | − | 0.287895i | ||||
\(92\) | 0.712056 | 0.0742370 | ||||||||
\(93\) | −5.28357 | + | 5.28357i | −0.547880 | + | 0.547880i | ||||
\(94\) | −1.43951 | − | 0.831100i | −0.148474 | − | 0.0857214i | ||||
\(95\) | 25.8973i | 2.65700i | ||||||||
\(96\) | −0.965926 | + | 0.258819i | −0.0985844 | + | 0.0264156i | ||||
\(97\) | 8.33554 | − | 2.23350i | 0.846346 | − | 0.226778i | 0.190514 | − | 0.981684i | \(-0.438985\pi\) |
0.655832 | + | 0.754907i | \(0.272318\pi\) | |||||||
\(98\) | −5.55845 | − | 4.25484i | −0.561488 | − | 0.429804i | ||||
\(99\) | −2.81833 | − | 2.81833i | −0.283253 | − | 0.283253i | ||||
\(100\) | −3.92055 | − | 6.79059i | −0.392055 | − | 0.679059i | ||||
\(101\) | 2.68348 | − | 4.64792i | 0.267016 | − | 0.462486i | −0.701074 | − | 0.713089i | \(-0.747296\pi\) |
0.968090 | + | 0.250603i | \(0.0806290\pi\) | |||||||
\(102\) | −4.17069 | + | 1.11753i | −0.412960 | + | 0.110652i | ||||
\(103\) | −1.95134 | + | 3.37982i | −0.192271 | + | 0.333024i | −0.946003 | − | 0.324159i | \(-0.894919\pi\) |
0.753731 | + | 0.657183i | \(0.228252\pi\) | |||||||
\(104\) | 0.807915 | + | 3.51387i | 0.0792226 | + | 0.344563i | ||||
\(105\) | 7.88001 | − | 5.27192i | 0.769010 | − | 0.514486i | ||||
\(106\) | −1.66709 | − | 0.446696i | −0.161922 | − | 0.0433870i | ||||
\(107\) | −19.4175 | −1.87716 | −0.938582 | − | 0.345056i | \(-0.887860\pi\) | ||||
−0.938582 | + | 0.345056i | \(0.887860\pi\) | |||||||
\(108\) | 1.00000 | 0.0962250 | ||||||||
\(109\) | −12.9072 | − | 3.45849i | −1.23629 | − | 0.331263i | −0.419264 | − | 0.907864i | \(-0.637712\pi\) |
−0.817026 | + | 0.576601i | \(0.804379\pi\) | |||||||
\(110\) | 3.69661 | − | 13.7959i | 0.352458 | − | 1.31539i | ||||
\(111\) | 0.229615 | + | 0.856937i | 0.0217941 | + | 0.0813368i | ||||
\(112\) | 1.74330 | − | 1.99020i | 0.164727 | − | 0.188056i | ||||
\(113\) | −0.175668 | + | 0.304265i | −0.0165254 | + | 0.0286229i | −0.874170 | − | 0.485620i | \(-0.838594\pi\) |
0.857644 | + | 0.514243i | \(0.171927\pi\) | |||||||
\(114\) | − | 7.22692i | − | 0.676863i | ||||||
\(115\) | −0.660407 | − | 2.46467i | −0.0615832 | − | 0.229832i | ||||
\(116\) | 7.79058 | − | 4.49789i | 0.723337 | − | 0.417619i | ||||
\(117\) | 0.129070 | − | 3.60324i | 0.0119325 | − | 0.333120i | ||||
\(118\) | 4.05289i | 0.373098i | ||||||||
\(119\) | 7.52726 | − | 8.59332i | 0.690023 | − | 0.787748i | ||||
\(120\) | 1.79172 | + | 3.10336i | 0.163561 | + | 0.283296i | ||||
\(121\) | 4.23136 | − | 2.44297i | 0.384669 | − | 0.222089i | ||||
\(122\) | −2.10510 | + | 7.85634i | −0.190587 | + | 0.711280i | ||||
\(123\) | −1.39837 | + | 1.39837i | −0.126086 | + | 0.126086i | ||||
\(124\) | 7.21748 | + | 1.93392i | 0.648149 | + | 0.173671i | ||||
\(125\) | −7.19900 | + | 7.19900i | −0.643898 | + | 0.643898i | ||||
\(126\) | −2.19900 | + | 1.47119i | −0.195903 | + | 0.131064i | ||||
\(127\) | 2.86847 | − | 1.65611i | 0.254535 | − | 0.146956i | −0.367304 | − | 0.930101i | \(-0.619719\pi\) |
0.621839 | + | 0.783145i | \(0.286386\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 5.86869 | + | 10.1649i | 0.516709 | + | 0.894967i | ||||
\(130\) | 11.4134 | − | 6.05546i | 1.00102 | − | 0.531099i | ||||
\(131\) | −1.14746 | − | 0.662484i | −0.100254 | − | 0.0578815i | 0.449035 | − | 0.893514i | \(-0.351768\pi\) |
−0.549289 | + | 0.835633i | \(0.685101\pi\) | |||||||
\(132\) | −1.03158 | + | 3.84991i | −0.0897875 | + | 0.335091i | ||||
\(133\) | 10.6321 | + | 15.8920i | 0.921923 | + | 1.37801i | ||||
\(134\) | −11.0188 | − | 6.36172i | −0.951881 | − | 0.549569i | ||||
\(135\) | −0.927465 | − | 3.46134i | −0.0798234 | − | 0.297905i | ||||
\(136\) | 3.05316 | + | 3.05316i | 0.261806 | + | 0.261806i | ||||
\(137\) | 1.52374 | + | 1.52374i | 0.130182 | + | 0.130182i | 0.769195 | − | 0.639014i | \(-0.220657\pi\) |
−0.639014 | + | 0.769195i | \(0.720657\pi\) | |||||||
\(138\) | 0.184294 | + | 0.687793i | 0.0156881 | + | 0.0585488i | ||||
\(139\) | 4.27921 | + | 2.47060i | 0.362958 | + | 0.209554i | 0.670377 | − | 0.742020i | \(-0.266132\pi\) |
−0.307420 | + | 0.951574i | \(0.599466\pi\) | |||||||
\(140\) | −8.50562 | − | 4.18833i | −0.718856 | − | 0.353979i | ||||
\(141\) | 0.430209 | − | 1.60556i | 0.0362301 | − | 0.135213i | ||||
\(142\) | −0.558821 | − | 0.322635i | −0.0468952 | − | 0.0270749i | ||||
\(143\) | 13.7390 | + | 4.21394i | 1.14891 | + | 0.352387i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −22.7942 | − | 22.7942i | −1.89296 | − | 1.89296i | ||||
\(146\) | −3.38243 | + | 1.95285i | −0.279932 | + | 0.161619i | ||||
\(147\) | 2.67123 | − | 6.47028i | 0.220319 | − | 0.533660i | ||||
\(148\) | 0.627321 | − | 0.627321i | 0.0515655 | − | 0.0515655i | ||||
\(149\) | 7.16290 | + | 1.91929i | 0.586808 | + | 0.157235i | 0.539994 | − | 0.841669i | \(-0.318427\pi\) |
0.0468138 | + | 0.998904i | \(0.485093\pi\) | |||||||
\(150\) | 5.54449 | − | 5.54449i | 0.452706 | − | 0.452706i | ||||
\(151\) | −2.94021 | + | 10.9730i | −0.239271 | + | 0.892970i | 0.736906 | + | 0.675995i | \(0.236286\pi\) |
−0.976177 | + | 0.216976i | \(0.930381\pi\) | |||||||
\(152\) | −6.25869 | + | 3.61346i | −0.507647 | + | 0.293090i | ||||
\(153\) | −2.15891 | − | 3.73934i | −0.174537 | − | 0.302308i | ||||
\(154\) | −3.39548 | − | 9.98360i | −0.273616 | − | 0.804502i | ||||
\(155\) | − | 26.7758i | − | 2.15069i | ||||||
\(156\) | −3.18503 | + | 1.68984i | −0.255007 | + | 0.135296i | ||||
\(157\) | 18.0270 | − | 10.4079i | 1.43871 | − | 0.830641i | 0.440952 | − | 0.897531i | \(-0.354641\pi\) |
0.997760 | + | 0.0668898i | \(0.0213076\pi\) | |||||||
\(158\) | 1.29148 | + | 4.81985i | 0.102744 | + | 0.383447i | ||||
\(159\) | − | 1.72590i | − | 0.136873i | ||||||
\(160\) | 1.79172 | − | 3.10336i | 0.141648 | − | 0.245342i | ||||
\(161\) | −1.41713 | − | 1.24133i | −0.111686 | − | 0.0978304i | ||||
\(162\) | 0.258819 | + | 0.965926i | 0.0203347 | + | 0.0758903i | ||||
\(163\) | −2.21749 | + | 8.27580i | −0.173688 | + | 0.648211i | 0.823084 | + | 0.567920i | \(0.192252\pi\) |
−0.996771 | + | 0.0802909i | \(0.974415\pi\) | |||||||
\(164\) | 1.91020 | + | 0.511837i | 0.149162 | + | 0.0399678i | ||||
\(165\) | 14.2826 | 1.11190 | ||||||||
\(166\) | −10.1246 | −0.785820 | ||||||||
\(167\) | −10.7973 | − | 2.89312i | −0.835519 | − | 0.223877i | −0.184399 | − | 0.982851i | \(-0.559034\pi\) |
−0.651120 | + | 0.758975i | \(0.725701\pi\) | |||||||
\(168\) | 2.37359 | + | 1.16880i | 0.183126 | + | 0.0901749i | ||||
\(169\) | 5.67782 | + | 11.6945i | 0.436755 | + | 0.899580i | ||||
\(170\) | 7.73634 | − | 13.3997i | 0.593350 | − | 1.02771i | ||||
\(171\) | 6.98067 | − | 1.87046i | 0.533825 | − | 0.143038i | ||||
\(172\) | 5.86869 | − | 10.1649i | 0.447483 | − | 0.775064i | ||||
\(173\) | −3.47656 | − | 6.02158i | −0.264318 | − | 0.457812i | 0.703067 | − | 0.711124i | \(-0.251814\pi\) |
−0.967385 | + | 0.253312i | \(0.918480\pi\) | |||||||
\(174\) | 6.36098 | + | 6.36098i | 0.482225 | + | 0.482225i | ||||
\(175\) | −4.03538 | + | 20.3493i | −0.305046 | + | 1.53827i | ||||
\(176\) | 3.84991 | − | 1.03158i | 0.290198 | − | 0.0777583i | ||||
\(177\) | −3.91479 | + | 1.04896i | −0.294253 | + | 0.0788450i | ||||
\(178\) | 16.7434i | 1.25497i | ||||||||
\(179\) | −15.3799 | − | 8.87956i | −1.14954 | − | 0.663690i | −0.200768 | − | 0.979639i | \(-0.564344\pi\) |
−0.948776 | + | 0.315949i | \(0.897677\pi\) | |||||||
\(180\) | −2.53388 | + | 2.53388i | −0.188864 | + | 0.188864i | ||||
\(181\) | 13.6380 | 1.01371 | 0.506853 | − | 0.862032i | \(-0.330809\pi\) | ||||
0.506853 | + | 0.862032i | \(0.330809\pi\) | |||||||
\(182\) | 4.51783 | − | 8.40174i | 0.334883 | − | 0.622778i | ||||
\(183\) | −8.13349 | −0.601245 | ||||||||
\(184\) | 0.503500 | − | 0.503500i | 0.0371185 | − | 0.0371185i | ||||
\(185\) | −2.75319 | − | 1.58956i | −0.202419 | − | 0.116867i | ||||
\(186\) | 7.47209i | 0.547880i | ||||||||
\(187\) | 16.6232 | − | 4.45417i | 1.21561 | − | 0.325721i | ||||
\(188\) | −1.60556 | + | 0.430209i | −0.117098 | + | 0.0313762i | ||||
\(189\) | −1.99020 | − | 1.74330i | −0.144766 | − | 0.126807i | ||||
\(190\) | 18.3121 | + | 18.3121i | 1.32850 | + | 1.32850i | ||||
\(191\) | −5.06856 | − | 8.77900i | −0.366748 | − | 0.635226i | 0.622307 | − | 0.782773i | \(-0.286196\pi\) |
−0.989055 | + | 0.147547i | \(0.952862\pi\) | |||||||
\(192\) | −0.500000 | + | 0.866025i | −0.0360844 | + | 0.0625000i | ||||
\(193\) | 12.4154 | − | 3.32669i | 0.893678 | − | 0.239460i | 0.217379 | − | 0.976087i | \(-0.430249\pi\) |
0.676299 | + | 0.736627i | \(0.263583\pi\) | |||||||
\(194\) | 4.31479 | − | 7.47344i | 0.309784 | − | 0.536562i | ||||
\(195\) | 8.80313 | + | 9.45723i | 0.630405 | + | 0.677246i | ||||
\(196\) | −6.93904 | + | 0.921790i | −0.495646 | + | 0.0658421i | ||||
\(197\) | 14.3021 | + | 3.83225i | 1.01899 | + | 0.273036i | 0.729379 | − | 0.684110i | \(-0.239809\pi\) |
0.289606 | + | 0.957146i | \(0.406476\pi\) | |||||||
\(198\) | −3.98572 | −0.283253 | ||||||||
\(199\) | −21.6106 | −1.53194 | −0.765969 | − | 0.642877i | \(-0.777740\pi\) | ||||
−0.765969 | + | 0.642877i | \(0.777740\pi\) | |||||||
\(200\) | −7.57392 | − | 2.02943i | −0.535557 | − | 0.143502i | ||||
\(201\) | 3.29307 | − | 12.2899i | 0.232275 | − | 0.866863i | ||||
\(202\) | −1.38907 | − | 5.18408i | −0.0977347 | − | 0.364751i | ||||
\(203\) | −23.3460 | − | 4.62963i | −1.63857 | − | 0.324937i | ||||
\(204\) | −2.15891 | + | 3.73934i | −0.151154 | + | 0.261806i | ||||
\(205\) | − | 7.08658i | − | 0.494948i | ||||||
\(206\) | 1.01009 | + | 3.76970i | 0.0703762 | + | 0.262648i | ||||
\(207\) | −0.616658 | + | 0.356028i | −0.0428607 | + | 0.0247457i | ||||
\(208\) | 3.05596 | + | 1.91340i | 0.211893 | + | 0.132670i | ||||
\(209\) | 28.8045i | 1.99245i | ||||||||
\(210\) | 1.84420 | − | 9.29982i | 0.127262 | − | 0.641748i | ||||
\(211\) | −11.9473 | − | 20.6934i | −0.822487 | − | 1.42459i | −0.903825 | − | 0.427903i | \(-0.859252\pi\) |
0.0813372 | − | 0.996687i | \(-0.474081\pi\) | |||||||
\(212\) | −1.49467 | + | 0.862951i | −0.102655 | + | 0.0592677i | ||||
\(213\) | 0.167008 | − | 0.623283i | 0.0114432 | − | 0.0427067i | ||||
\(214\) | −13.7303 | + | 13.7303i | −0.938582 | + | 0.938582i | ||||
\(215\) | −40.6271 | − | 10.8860i | −2.77075 | − | 0.742419i | ||||
\(216\) | 0.707107 | − | 0.707107i | 0.0481125 | − | 0.0481125i | ||||
\(217\) | −10.9928 | − | 16.4311i | −0.746242 | − | 1.11542i | ||||
\(218\) | −11.5723 | + | 6.68128i | −0.783776 | + | 0.452514i | ||||
\(219\) | −2.76175 | − | 2.76175i | −0.186621 | − | 0.186621i | ||||
\(220\) | −7.14131 | − | 12.3691i | −0.481467 | − | 0.833925i | ||||
\(221\) | 13.1951 | + | 8.26170i | 0.887598 | + | 0.555742i | ||||
\(222\) | 0.768308 | + | 0.443583i | 0.0515655 | + | 0.0297713i | ||||
\(223\) | −5.54886 | + | 20.7086i | −0.371579 | + | 1.38675i | 0.486700 | + | 0.873569i | \(0.338200\pi\) |
−0.858279 | + | 0.513183i | \(0.828466\pi\) | |||||||
\(224\) | −0.174582 | − | 2.63999i | −0.0116648 | − | 0.176391i | ||||
\(225\) | 6.79059 | + | 3.92055i | 0.452706 | + | 0.261370i | ||||
\(226\) | 0.0909323 | + | 0.339364i | 0.00604873 | + | 0.0225742i | ||||
\(227\) | −1.86102 | − | 1.86102i | −0.123520 | − | 0.123520i | 0.642644 | − | 0.766165i | \(-0.277837\pi\) |
−0.766165 | + | 0.642644i | \(0.777837\pi\) | |||||||
\(228\) | −5.11020 | − | 5.11020i | −0.338431 | − | 0.338431i | ||||
\(229\) | 5.43526 | + | 20.2847i | 0.359172 | + | 1.34045i | 0.875152 | + | 0.483848i | \(0.160761\pi\) |
−0.515980 | + | 0.856601i | \(0.672572\pi\) | |||||||
\(230\) | −2.20976 | − | 1.27581i | −0.145707 | − | 0.0841243i | ||||
\(231\) | 8.76461 | − | 5.86373i | 0.576669 | − | 0.385805i | ||||
\(232\) | 2.32828 | − | 8.68926i | 0.152859 | − | 0.570478i | ||||
\(233\) | 16.1588 | + | 9.32927i | 1.05860 | + | 0.611181i | 0.925044 | − | 0.379861i | \(-0.124028\pi\) |
0.133553 | + | 0.991042i | \(0.457362\pi\) | |||||||
\(234\) | −2.45661 | − | 2.63914i | −0.160594 | − | 0.172526i | ||||
\(235\) | 2.97820 | + | 5.15840i | 0.194277 | + | 0.336497i | ||||
\(236\) | 2.86582 | + | 2.86582i | 0.186549 | + | 0.186549i | ||||
\(237\) | −4.32136 | + | 2.49494i | −0.280703 | + | 0.162064i | ||||
\(238\) | −0.753815 | − | 11.3990i | −0.0488626 | − | 0.738886i | ||||
\(239\) | 8.43037 | − | 8.43037i | 0.545315 | − | 0.545315i | −0.379767 | − | 0.925082i | \(-0.623996\pi\) |
0.925082 | + | 0.379767i | \(0.123996\pi\) | |||||||
\(240\) | 3.46134 | + | 0.927465i | 0.223429 | + | 0.0598676i | ||||
\(241\) | −10.6320 | + | 10.6320i | −0.684866 | + | 0.684866i | −0.961092 | − | 0.276227i | \(-0.910916\pi\) |
0.276227 | + | 0.961092i | \(0.410916\pi\) | |||||||
\(242\) | 1.26458 | − | 4.71946i | 0.0812901 | − | 0.303379i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | 4.06674 | + | 7.04381i | 0.260347 | + | 0.450933i | ||||
\(245\) | 9.62635 | + | 23.1635i | 0.615005 | + | 1.47986i | ||||
\(246\) | 1.97759i | 0.126086i | ||||||||
\(247\) | −19.0729 | + | 17.7537i | −1.21358 | + | 1.12964i | ||||
\(248\) | 6.47102 | − | 3.73604i | 0.410910 | − | 0.237239i | ||||
\(249\) | −2.62043 | − | 9.77959i | −0.166063 | − | 0.619756i | ||||
\(250\) | 10.1809i | 0.643898i | ||||||||
\(251\) | 5.32365 | − | 9.22082i | 0.336026 | − | 0.582013i | −0.647656 | − | 0.761933i | \(-0.724250\pi\) |
0.983681 | + | 0.179920i | \(0.0575838\pi\) | |||||||
\(252\) | −0.514645 | + | 2.59521i | −0.0324196 | + | 0.163483i | ||||
\(253\) | −0.734542 | − | 2.74135i | −0.0461803 | − | 0.172347i | ||||
\(254\) | 0.857266 | − | 3.19936i | 0.0537896 | − | 0.200746i | ||||
\(255\) | 14.9455 | + | 4.00462i | 0.935921 | + | 0.250779i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 12.6998 | 0.792194 | 0.396097 | − | 0.918209i | \(-0.370364\pi\) | ||||
0.396097 | + | 0.918209i | \(0.370364\pi\) | |||||||
\(258\) | 11.3374 | + | 3.03786i | 0.705838 | + | 0.189129i | ||||
\(259\) | −2.34211 | + | 0.154884i | −0.145531 | + | 0.00962400i | ||||
\(260\) | 3.78863 | − | 12.3523i | 0.234961 | − | 0.766060i | ||||
\(261\) | −4.49789 | + | 7.79058i | −0.278413 | + | 0.482225i | ||||
\(262\) | −1.27982 | + | 0.342927i | −0.0790676 | + | 0.0211861i | ||||
\(263\) | −9.33453 | + | 16.1679i | −0.575592 | + | 0.996954i | 0.420385 | + | 0.907346i | \(0.361895\pi\) |
−0.995977 | + | 0.0896086i | \(0.971438\pi\) | |||||||
\(264\) | 1.99286 | + | 3.45173i | 0.122652 | + | 0.212439i | ||||
\(265\) | 4.37323 | + | 4.37323i | 0.268645 | + | 0.268645i | ||||
\(266\) | 18.7554 | + | 3.71929i | 1.14997 | + | 0.228045i | ||||
\(267\) | −16.1728 | + | 4.33350i | −0.989762 | + | 0.265206i | ||||
\(268\) | −12.2899 | + | 3.29307i | −0.750725 | + | 0.201156i | ||||
\(269\) | 15.5528i | 0.948269i | 0.880452 | + | 0.474135i | \(0.157239\pi\) | ||||
−0.880452 | + | 0.474135i | \(0.842761\pi\) | |||||||
\(270\) | −3.10336 | − | 1.79172i | −0.188864 | − | 0.109041i | ||||
\(271\) | −9.71103 | + | 9.71103i | −0.589903 | + | 0.589903i | −0.937605 | − | 0.347702i | \(-0.886962\pi\) |
0.347702 | + | 0.937605i | \(0.386962\pi\) | |||||||
\(272\) | 4.31782 | 0.261806 | ||||||||
\(273\) | 9.28476 | + | 2.18935i | 0.561939 | + | 0.132506i | ||||
\(274\) | 2.15489 | 0.130182 | ||||||||
\(275\) | −22.0988 | + | 22.0988i | −1.33261 | + | 1.33261i | ||||
\(276\) | 0.616658 | + | 0.356028i | 0.0371185 | + | 0.0214304i | ||||
\(277\) | 1.85671i | 0.111559i | 0.998443 | + | 0.0557794i | \(0.0177643\pi\) | ||||
−0.998443 | + | 0.0557794i | \(0.982236\pi\) | |||||||
\(278\) | 4.77283 | − | 1.27888i | 0.286256 | − | 0.0767020i | ||||
\(279\) | −7.21748 | + | 1.93392i | −0.432099 | + | 0.115781i | ||||
\(280\) | −8.97598 | + | 3.05278i | −0.536417 | + | 0.182439i | ||||
\(281\) | 12.6667 | + | 12.6667i | 0.755630 | + | 0.755630i | 0.975524 | − | 0.219894i | \(-0.0705710\pi\) |
−0.219894 | + | 0.975524i | \(0.570571\pi\) | |||||||
\(282\) | −0.831100 | − | 1.43951i | −0.0494913 | − | 0.0857214i | ||||
\(283\) | 3.73778 | − | 6.47402i | 0.222188 | − | 0.384841i | −0.733284 | − | 0.679922i | \(-0.762014\pi\) |
0.955472 | + | 0.295082i | \(0.0953468\pi\) | |||||||
\(284\) | −0.623283 | + | 0.167008i | −0.0369851 | + | 0.00991012i | ||||
\(285\) | −12.9486 | + | 22.4277i | −0.767011 | + | 1.32850i | ||||
\(286\) | 12.6946 | − | 6.73523i | 0.750650 | − | 0.398263i | ||||
\(287\) | −2.90940 | − | 4.34872i | −0.171736 | − | 0.256697i | ||||
\(288\) | −0.965926 | − | 0.258819i | −0.0569177 | − | 0.0152511i | ||||
\(289\) | 1.64354 | 0.0966791 | ||||||||
\(290\) | −32.2359 | −1.89296 | ||||||||
\(291\) | 8.33554 | + | 2.23350i | 0.488638 | + | 0.130930i | ||||
\(292\) | −1.01087 | + | 3.77262i | −0.0591566 | + | 0.220776i | ||||
\(293\) | 0.984079 | + | 3.67263i | 0.0574905 | + | 0.214557i | 0.988695 | − | 0.149939i | \(-0.0479078\pi\) |
−0.931205 | + | 0.364497i | \(0.881241\pi\) | |||||||
\(294\) | −2.68634 | − | 6.46402i | −0.156670 | − | 0.376989i | ||||
\(295\) | 7.26165 | − | 12.5776i | 0.422790 | − | 0.732294i | ||||
\(296\) | − | 0.887166i | − | 0.0515655i | ||||||
\(297\) | −1.03158 | − | 3.84991i | −0.0598583 | − | 0.223394i | ||||
\(298\) | 6.42208 | − | 3.70779i | 0.372021 | − | 0.214786i | ||||
\(299\) | 1.36245 | − | 2.17602i | 0.0787923 | − | 0.125842i | ||||
\(300\) | − | 7.84110i | − | 0.452706i | ||||||
\(301\) | −29.4003 | + | 9.99922i | −1.69461 | + | 0.576345i | ||||
\(302\) | 5.68004 | + | 9.83813i | 0.326850 | + | 0.566121i | ||||
\(303\) | 4.64792 | − | 2.68348i | 0.267016 | − | 0.154162i | ||||
\(304\) | −1.87046 | + | 6.98067i | −0.107278 | + | 0.400369i | ||||
\(305\) | 20.6093 | − | 20.6093i | 1.18008 | − | 1.18008i | ||||
\(306\) | −4.17069 | − | 1.11753i | −0.238423 | − | 0.0638851i | ||||
\(307\) | −11.3549 | + | 11.3549i | −0.648060 | + | 0.648060i | −0.952524 | − | 0.304464i | \(-0.901523\pi\) |
0.304464 | + | 0.952524i | \(0.401523\pi\) | |||||||
\(308\) | −9.46044 | − | 4.65851i | −0.539059 | − | 0.265443i | ||||
\(309\) | −3.37982 | + | 1.95134i | −0.192271 | + | 0.111008i | ||||
\(310\) | −18.9334 | − | 18.9334i | −1.07534 | − | 1.07534i | ||||
\(311\) | 5.29988 | + | 9.17966i | 0.300529 | + | 0.520531i | 0.976256 | − | 0.216621i | \(-0.0695036\pi\) |
−0.675727 | + | 0.737152i | \(0.736170\pi\) | |||||||
\(312\) | −1.05726 | + | 3.44706i | −0.0598555 | + | 0.195151i | ||||
\(313\) | 17.3619 | + | 10.0239i | 0.981352 | + | 0.566584i | 0.902678 | − | 0.430316i | \(-0.141598\pi\) |
0.0786742 | + | 0.996900i | \(0.474931\pi\) | |||||||
\(314\) | 5.38753 | − | 20.1065i | 0.304036 | − | 1.13468i | ||||
\(315\) | 9.46025 | − | 0.625607i | 0.533025 | − | 0.0352490i | ||||
\(316\) | 4.32136 | + | 2.49494i | 0.243096 | + | 0.140351i | ||||
\(317\) | −1.66934 | − | 6.23006i | −0.0937594 | − | 0.349915i | 0.903069 | − | 0.429495i | \(-0.141309\pi\) |
−0.996828 | + | 0.0795806i | \(0.974642\pi\) | |||||||
\(318\) | −1.22040 | − | 1.22040i | −0.0684364 | − | 0.0684364i | ||||
\(319\) | −25.3531 | − | 25.3531i | −1.41950 | − | 1.41950i | ||||
\(320\) | −0.927465 | − | 3.46134i | −0.0518468 | − | 0.193495i | ||||
\(321\) | −16.8161 | − | 9.70877i | −0.938582 | − | 0.541891i | ||||
\(322\) | −1.87982 | + | 0.124312i | −0.104758 | + | 0.00692766i | ||||
\(323\) | −8.07632 | + | 30.1412i | −0.449378 | + | 1.67710i | ||||
\(324\) | 0.866025 | + | 0.500000i | 0.0481125 | + | 0.0277778i | ||||
\(325\) | −28.2534 | − | 1.01205i | −1.56721 | − | 0.0561385i | ||||
\(326\) | 4.28387 | + | 7.41988i | 0.237262 | + | 0.410949i | ||||
\(327\) | −9.44876 | − | 9.44876i | −0.522518 | − | 0.522518i | ||||
\(328\) | 1.71264 | − | 0.988794i | 0.0945648 | − | 0.0545970i | ||||
\(329\) | 3.94537 | + | 1.94278i | 0.217515 | + | 0.107109i | ||||
\(330\) | 10.0993 | − | 10.0993i | 0.555950 | − | 0.555950i | ||||
\(331\) | 19.4177 | + | 5.20295i | 1.06729 | + | 0.285980i | 0.749380 | − | 0.662140i | \(-0.230352\pi\) |
0.317912 | + | 0.948120i | \(0.397018\pi\) | |||||||
\(332\) | −7.15916 | + | 7.15916i | −0.392910 | + | 0.392910i | ||||
\(333\) | −0.229615 | + | 0.856937i | −0.0125828 | + | 0.0469598i | ||||
\(334\) | −9.68058 | + | 5.58909i | −0.529698 | + | 0.305821i | ||||
\(335\) | 22.7969 | + | 39.4854i | 1.24553 | + | 2.15732i | ||||
\(336\) | 2.50484 | − | 0.851912i | 0.136650 | − | 0.0464756i | ||||
\(337\) | − | 2.51782i | − | 0.137154i | −0.997646 | − | 0.0685772i | \(-0.978154\pi\) | ||
0.997646 | − | 0.0685772i | \(-0.0218460\pi\) | |||||||
\(338\) | 12.2841 | + | 4.25447i | 0.668168 | + | 0.231413i | ||||
\(339\) | −0.304265 | + | 0.175668i | −0.0165254 | + | 0.00954096i | ||||
\(340\) | −4.00462 | − | 14.9455i | −0.217181 | − | 0.810531i | ||||
\(341\) | − | 29.7816i | − | 1.61277i | ||||||
\(342\) | 3.61346 | − | 6.25869i | 0.195393 | − | 0.338431i | ||||
\(343\) | 15.4170 | + | 10.2623i | 0.832442 | + | 0.554112i | ||||
\(344\) | −3.03786 | − | 11.3374i | −0.163790 | − | 0.611274i | ||||
\(345\) | 0.660407 | − | 2.46467i | 0.0355551 | − | 0.132693i | ||||
\(346\) | −6.71620 | − | 1.79960i | −0.361065 | − | 0.0967472i | ||||
\(347\) | 17.7585 | 0.953328 | 0.476664 | − | 0.879086i | \(-0.341846\pi\) | ||||
0.476664 | + | 0.879086i | \(0.341846\pi\) | |||||||
\(348\) | 8.99579 | 0.482225 | ||||||||
\(349\) | 4.09488 | + | 1.09722i | 0.219194 | + | 0.0587329i | 0.366745 | − | 0.930322i | \(-0.380472\pi\) |
−0.147551 | + | 0.989055i | \(0.547139\pi\) | |||||||
\(350\) | 11.5357 | + | 17.2426i | 0.616610 | + | 0.921656i | ||||
\(351\) | 1.91340 | − | 3.05596i | 0.102130 | − | 0.163115i | ||||
\(352\) | 1.99286 | − | 3.45173i | 0.106220 | − | 0.183978i | ||||
\(353\) | 28.6691 | − | 7.68186i | 1.52590 | − | 0.408864i | 0.604222 | − | 0.796816i | \(-0.293484\pi\) |
0.921680 | + | 0.387952i | \(0.126817\pi\) | |||||||
\(354\) | −2.02644 | + | 3.50990i | −0.107704 | + | 0.186549i | ||||
\(355\) | 1.15615 | + | 2.00250i | 0.0613619 | + | 0.106282i | ||||
\(356\) | 11.8393 | + | 11.8393i | 0.627484 | + | 0.627484i | ||||
\(357\) | 10.8155 | − | 3.67840i | 0.572415 | − | 0.194682i | ||||
\(358\) | −17.1540 | + | 4.59640i | −0.906617 | + | 0.242927i | ||||
\(359\) | 0.500851 | − | 0.134203i | 0.0264339 | − | 0.00708294i | −0.245578 | − | 0.969377i | \(-0.578978\pi\) |
0.272012 | + | 0.962294i | \(0.412311\pi\) | |||||||
\(360\) | 3.58345i | 0.188864i | ||||||||
\(361\) | −28.7766 | − | 16.6142i | −1.51456 | − | 0.874429i | ||||
\(362\) | 9.64354 | − | 9.64354i | 0.506853 | − | 0.506853i | ||||
\(363\) | 4.88595 | 0.256446 | ||||||||
\(364\) | −2.74634 | − | 9.13551i | −0.143948 | − | 0.478831i | ||||
\(365\) | 13.9959 | 0.732577 | ||||||||
\(366\) | −5.75124 | + | 5.75124i | −0.300622 | + | 0.300622i | ||||
\(367\) | −29.0561 | − | 16.7755i | −1.51671 | − | 0.875675i | −0.999807 | − | 0.0196332i | \(-0.993750\pi\) |
−0.516907 | − | 0.856042i | \(-0.672917\pi\) | |||||||
\(368\) | − | 0.712056i | − | 0.0371185i | ||||||
\(369\) | −1.91020 | + | 0.511837i | −0.0994412 | + | 0.0266452i | ||||
\(370\) | −3.07079 | + | 0.822815i | −0.159643 | + | 0.0427761i | ||||
\(371\) | 4.47908 | + | 0.888226i | 0.232542 | + | 0.0461144i | ||||
\(372\) | 5.28357 | + | 5.28357i | 0.273940 | + | 0.273940i | ||||
\(373\) | −15.3407 | − | 26.5709i | −0.794314 | − | 1.37579i | −0.923274 | − | 0.384142i | \(-0.874497\pi\) |
0.128960 | − | 0.991650i | \(-0.458836\pi\) | |||||||
\(374\) | 8.60480 | − | 14.9040i | 0.444944 | − | 0.770665i | ||||
\(375\) | −9.83402 | + | 2.63502i | −0.507827 | + | 0.136072i | ||||
\(376\) | −0.831100 | + | 1.43951i | −0.0428607 | + | 0.0742369i | ||||
\(377\) | 1.16109 | − | 32.4140i | 0.0597990 | − | 1.66941i | ||||
\(378\) | −2.63999 | + | 0.174582i | −0.135786 | + | 0.00897955i | ||||
\(379\) | 2.21846 | + | 0.594436i | 0.113955 | + | 0.0305341i | 0.315346 | − | 0.948977i | \(-0.397879\pi\) |
−0.201391 | + | 0.979511i | \(0.564546\pi\) | |||||||
\(380\) | 25.8973 | 1.32850 | ||||||||
\(381\) | 3.31222 | 0.169690 | ||||||||
\(382\) | −9.79170 | − | 2.62368i | −0.500987 | − | 0.134239i | ||||
\(383\) | −3.80442 | + | 14.1983i | −0.194397 | + | 0.725498i | 0.798026 | + | 0.602624i | \(0.205878\pi\) |
−0.992422 | + | 0.122875i | \(0.960789\pi\) | |||||||
\(384\) | 0.258819 | + | 0.965926i | 0.0132078 | + | 0.0492922i | ||||
\(385\) | −7.35047 | + | 37.0665i | −0.374615 | + | 1.88908i | ||||
\(386\) | 6.42667 | − | 11.1313i | 0.327109 | − | 0.566569i | ||||
\(387\) | 11.7374i | 0.596645i | ||||||||
\(388\) | −2.23350 | − | 8.33554i | −0.113389 | − | 0.423173i | ||||
\(389\) | −28.5510 | + | 16.4839i | −1.44759 | + | 0.835767i | −0.998338 | − | 0.0576369i | \(-0.981643\pi\) |
−0.449254 | + | 0.893404i | \(0.648310\pi\) | |||||||
\(390\) | 12.9120 | + | 0.462516i | 0.653826 | + | 0.0234204i | ||||
\(391\) | − | 3.07453i | − | 0.155486i | ||||||
\(392\) | −4.25484 | + | 5.55845i | −0.214902 | + | 0.280744i | ||||
\(393\) | −0.662484 | − | 1.14746i | −0.0334179 | − | 0.0578815i | ||||
\(394\) | 12.8230 | − | 7.40333i | 0.646011 | − | 0.372975i | ||||
\(395\) | 4.62794 | − | 17.2717i | 0.232857 | − | 0.869033i | ||||
\(396\) | −2.81833 | + | 2.81833i | −0.141626 | + | 0.141626i | ||||
\(397\) | 12.7620 | + | 3.41956i | 0.640506 | + | 0.171623i | 0.564433 | − | 0.825479i | \(-0.309095\pi\) |
0.0760733 | + | 0.997102i | \(0.475762\pi\) | |||||||
\(398\) | −15.2810 | + | 15.2810i | −0.765969 | + | 0.765969i | ||||
\(399\) | 1.26169 | + | 19.0790i | 0.0631636 | + | 0.955142i | ||||
\(400\) | −6.79059 | + | 3.92055i | −0.339530 | + | 0.196027i | ||||
\(401\) | −10.4686 | − | 10.4686i | −0.522777 | − | 0.522777i | 0.395632 | − | 0.918409i | \(-0.370526\pi\) |
−0.918409 | + | 0.395632i | \(0.870526\pi\) | |||||||
\(402\) | −6.36172 | − | 11.0188i | −0.317294 | − | 0.549569i | ||||
\(403\) | 19.7199 | − | 18.3560i | 0.982318 | − | 0.914378i | ||||
\(404\) | −4.64792 | − | 2.68348i | −0.231243 | − | 0.133508i | ||||
\(405\) | 0.927465 | − | 3.46134i | 0.0460861 | − | 0.171996i | ||||
\(406\) | −19.7818 | + | 13.2345i | −0.981752 | + | 0.656816i | ||||
\(407\) | −3.06226 | − | 1.76800i | −0.151791 | − | 0.0876364i | ||||
\(408\) | 1.11753 | + | 4.17069i | 0.0553261 | + | 0.206480i | ||||
\(409\) | −14.9768 | − | 14.9768i | −0.740556 | − | 0.740556i | 0.232129 | − | 0.972685i | \(-0.425431\pi\) |
−0.972685 | + | 0.232129i | \(0.925431\pi\) | |||||||
\(410\) | −5.01097 | − | 5.01097i | −0.247474 | − | 0.247474i | ||||
\(411\) | 0.557727 | + | 2.08146i | 0.0275106 | + | 0.102671i | ||||
\(412\) | 3.37982 | + | 1.95134i | 0.166512 | + | 0.0961357i | ||||
\(413\) | −0.707563 | − | 10.6996i | −0.0348169 | − | 0.526491i | ||||
\(414\) | −0.184294 | + | 0.687793i | −0.00905754 | + | 0.0338032i | ||||
\(415\) | 31.4202 | + | 18.1405i | 1.54236 | + | 0.890480i | ||||
\(416\) | 3.51387 | − | 0.807915i | 0.172282 | − | 0.0396113i | ||||
\(417\) | 2.47060 | + | 4.27921i | 0.120986 | + | 0.209554i | ||||
\(418\) | 20.3678 | + | 20.3678i | 0.996223 | + | 0.996223i | ||||
\(419\) | 7.81110 | − | 4.50974i | 0.381597 | − | 0.220315i | −0.296916 | − | 0.954904i | \(-0.595958\pi\) |
0.678513 | + | 0.734588i | \(0.262625\pi\) | |||||||
\(420\) | −5.27192 | − | 7.88001i | −0.257243 | − | 0.384505i | ||||
\(421\) | −5.07143 | + | 5.07143i | −0.247166 | + | 0.247166i | −0.819807 | − | 0.572640i | \(-0.805919\pi\) |
0.572640 | + | 0.819807i | \(0.305919\pi\) | |||||||
\(422\) | −23.0804 | − | 6.18439i | −1.12354 | − | 0.301051i | ||||
\(423\) | 1.17535 | − | 1.17535i | 0.0571476 | − | 0.0571476i | ||||
\(424\) | −0.446696 | + | 1.66709i | −0.0216935 | + | 0.0809612i | ||||
\(425\) | −29.3205 | + | 16.9282i | −1.42225 | + | 0.821139i | ||||
\(426\) | −0.322635 | − | 0.558821i | −0.0156317 | − | 0.0270749i | ||||
\(427\) | 4.18586 | − | 21.1081i | 0.202568 | − | 1.02149i | ||||
\(428\) | 19.4175i | 0.938582i | ||||||||
\(429\) | 9.79135 | + | 10.5189i | 0.472731 | + | 0.507856i | ||||
\(430\) | −36.4253 | + | 21.0301i | −1.75658 | + | 1.01416i | ||||
\(431\) | −3.90772 | − | 14.5838i | −0.188228 | − | 0.702477i | −0.993916 | − | 0.110137i | \(-0.964871\pi\) |
0.805688 | − | 0.592340i | \(-0.201796\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | −18.3240 | + | 31.7381i | −0.880596 | + | 1.52524i | −0.0299168 | + | 0.999552i | \(0.509524\pi\) |
−0.850679 | + | 0.525685i | \(0.823809\pi\) | |||||||
\(434\) | −19.3917 | − | 3.84547i | −0.930830 | − | 0.184589i | ||||
\(435\) | −8.34327 | − | 31.1375i | −0.400029 | − | 1.49293i | ||||
\(436\) | −3.45849 | + | 12.9072i | −0.165631 | + | 0.618145i | ||||
\(437\) | 4.97062 | + | 1.33187i | 0.237777 | + | 0.0637122i | ||||
\(438\) | −3.90570 | −0.186621 | ||||||||
\(439\) | −27.7745 | −1.32561 | −0.662803 | − | 0.748794i | \(-0.730633\pi\) | ||||
−0.662803 | + | 0.748794i | \(0.730633\pi\) | |||||||
\(440\) | −13.7959 | − | 3.69661i | −0.657696 | − | 0.176229i | ||||
\(441\) | 5.54849 | − | 4.26781i | 0.264214 | − | 0.203229i | ||||
\(442\) | 15.1722 | − | 3.48843i | 0.721670 | − | 0.165928i | ||||
\(443\) | 7.82321 | − | 13.5502i | 0.371692 | − | 0.643789i | −0.618134 | − | 0.786073i | \(-0.712111\pi\) |
0.989826 | + | 0.142283i | \(0.0454445\pi\) | |||||||
\(444\) | 0.856937 | − | 0.229615i | 0.0406684 | − | 0.0108971i | ||||
\(445\) | 29.9995 | − | 51.9606i | 1.42211 | − | 2.46317i | ||||
\(446\) | 10.7196 | + | 18.5668i | 0.507587 | + | 0.879166i | ||||
\(447\) | 5.24361 | + | 5.24361i | 0.248014 | + | 0.248014i | ||||
\(448\) | −1.99020 | − | 1.74330i | −0.0940281 | − | 0.0823633i | ||||
\(449\) | 9.64984 | − | 2.58567i | 0.455404 | − | 0.122025i | −0.0238228 | − | 0.999716i | \(-0.507584\pi\) |
0.479227 | + | 0.877691i | \(0.340917\pi\) | |||||||
\(450\) | 7.57392 | − | 2.02943i | 0.357038 | − | 0.0956680i | ||||
\(451\) | − | 7.88211i | − | 0.371154i | ||||||
\(452\) | 0.304265 | + | 0.175668i | 0.0143114 | + | 0.00826271i | ||||
\(453\) | −8.03280 | + | 8.03280i | −0.377414 | + | 0.377414i | ||||
\(454\) | −2.63188 | −0.123520 | ||||||||
\(455\) | −29.0740 | + | 17.9789i | −1.36301 | + | 0.842864i | ||||
\(456\) | −7.22692 | −0.338431 | ||||||||
\(457\) | −10.0672 | + | 10.0672i | −0.470924 | + | 0.470924i | −0.902214 | − | 0.431289i | \(-0.858059\pi\) |
0.431289 | + | 0.902214i | \(0.358059\pi\) | |||||||
\(458\) | 18.1867 | + | 10.5001i | 0.849811 | + | 0.490638i | ||||
\(459\) | − | 4.31782i | − | 0.201538i | ||||||
\(460\) | −2.46467 | + | 0.660407i | −0.114916 | + | 0.0307916i | ||||
\(461\) | 27.4644 | − | 7.35907i | 1.27915 | − | 0.342746i | 0.445617 | − | 0.895223i | \(-0.352984\pi\) |
0.833528 | + | 0.552478i | \(0.186318\pi\) | |||||||
\(462\) | 2.05123 | − | 10.3438i | 0.0954318 | − | 0.481237i | ||||
\(463\) | 9.63165 | + | 9.63165i | 0.447621 | + | 0.447621i | 0.894563 | − | 0.446942i | \(-0.147487\pi\) |
−0.446942 | + | 0.894563i | \(0.647487\pi\) | |||||||
\(464\) | −4.49789 | − | 7.79058i | −0.208809 | − | 0.361669i | ||||
\(465\) | 13.3879 | − | 23.1886i | 0.620850 | − | 1.07534i | ||||
\(466\) | 18.0228 | − | 4.82918i | 0.834888 | − | 0.223708i | ||||
\(467\) | 15.3719 | − | 26.6250i | 0.711329 | − | 1.23206i | −0.253030 | − | 0.967458i | \(-0.581427\pi\) |
0.964359 | − | 0.264599i | \(-0.0852396\pi\) | |||||||
\(468\) | −3.60324 | − | 0.129070i | −0.166560 | − | 0.00596627i | ||||
\(469\) | 30.2002 | + | 14.8712i | 1.39451 | + | 0.686686i | ||||
\(470\) | 5.75345 | + | 1.54163i | 0.265387 | + | 0.0711101i | ||||
\(471\) | 20.8158 | 0.959142 | ||||||||
\(472\) | 4.05289 | 0.186549 | ||||||||
\(473\) | −45.1878 | − | 12.1080i | −2.07774 | − | 0.556728i | ||||
\(474\) | −1.29148 | + | 4.81985i | −0.0593195 | + | 0.221383i | ||||
\(475\) | −14.6665 | − | 54.7361i | −0.672945 | − | 2.51146i | ||||
\(476\) | −8.59332 | − | 7.52726i | −0.393874 | − | 0.345012i | ||||
\(477\) | 0.862951 | − | 1.49467i | 0.0395118 | − | 0.0684364i | ||||
\(478\) | − | 11.9223i | − | 0.545315i | ||||||
\(479\) | 4.08006 | + | 15.2270i | 0.186423 | + | 0.695739i | 0.994322 | + | 0.106418i | \(0.0339380\pi\) |
−0.807899 | + | 0.589321i | \(0.799395\pi\) | |||||||
\(480\) | 3.10336 | − | 1.79172i | 0.141648 | − | 0.0817806i | ||||
\(481\) | −0.716755 | − | 3.11738i | −0.0326812 | − | 0.142141i | ||||
\(482\) | 15.0359i | 0.684866i | ||||||||
\(483\) | −0.606609 | − | 1.78359i | −0.0276017 | − | 0.0811561i | ||||
\(484\) | −2.44297 | − | 4.23136i | −0.111044 | − | 0.192334i | ||||
\(485\) | −26.7807 | + | 15.4618i | −1.21605 | + | 0.702086i | ||||
\(486\) | −0.258819 | + | 0.965926i | −0.0117403 | + | 0.0438153i | ||||
\(487\) | −13.1445 | + | 13.1445i | −0.595635 | + | 0.595635i | −0.939148 | − | 0.343513i | \(-0.888383\pi\) |
0.343513 | + | 0.939148i | \(0.388383\pi\) | |||||||
\(488\) | 7.85634 | + | 2.10510i | 0.355640 | + | 0.0952935i | ||||
\(489\) | −6.05831 | + | 6.05831i | −0.273966 | + | 0.273966i | ||||
\(490\) | 23.1859 | + | 9.57220i | 1.04743 | + | 0.432428i | ||||
\(491\) | −11.0514 | + | 6.38052i | −0.498742 | + | 0.287949i | −0.728194 | − | 0.685371i | \(-0.759640\pi\) |
0.229452 | + | 0.973320i | \(0.426307\pi\) | |||||||
\(492\) | 1.39837 | + | 1.39837i | 0.0630432 | + | 0.0630432i | ||||
\(493\) | −19.4211 | − | 33.6383i | −0.874682 | − | 1.51499i | ||||
\(494\) | −0.932779 | + | 26.0403i | −0.0419677 | + | 1.17161i | ||||
\(495\) | 12.3691 | + | 7.14131i | 0.555950 | + | 0.320978i | ||||
\(496\) | 1.93392 | − | 7.21748i | 0.0868355 | − | 0.324075i | ||||
\(497\) | 1.53160 | + | 0.754192i | 0.0687018 | + | 0.0338301i | ||||
\(498\) | −8.76814 | − | 5.06229i | −0.392910 | − | 0.226847i | ||||
\(499\) | 8.34647 | + | 31.1495i | 0.373639 | + | 1.39444i | 0.855323 | + | 0.518096i | \(0.173359\pi\) |
−0.481683 | + | 0.876345i | \(0.659974\pi\) | |||||||
\(500\) | 7.19900 | + | 7.19900i | 0.321949 | + | 0.321949i | ||||
\(501\) | −7.90416 | − | 7.90416i | −0.353132 | − | 0.353132i | ||||
\(502\) | −2.75572 | − | 10.2845i | −0.122994 | − | 0.459019i | ||||
\(503\) | −27.5872 | − | 15.9275i | −1.23005 | − | 0.710170i | −0.263010 | − | 0.964793i | \(-0.584715\pi\) |
−0.967040 | + | 0.254623i | \(0.918049\pi\) | |||||||
\(504\) | 1.47119 | + | 2.19900i | 0.0655318 | + | 0.0979514i | ||||
\(505\) | −4.97766 | + | 18.5769i | −0.221503 | + | 0.826661i | ||||
\(506\) | −2.45783 | − | 1.41903i | −0.109264 | − | 0.0630834i | ||||
\(507\) | −0.930141 | + | 12.9667i | −0.0413090 | + | 0.575871i | ||||
\(508\) | −1.65611 | − | 2.86847i | −0.0734780 | − | 0.127268i | ||||
\(509\) | −5.42481 | − | 5.42481i | −0.240451 | − | 0.240451i | 0.576586 | − | 0.817037i | \(-0.304385\pi\) |
−0.817037 | + | 0.576586i | \(0.804385\pi\) | |||||||
\(510\) | 13.3997 | − | 7.73634i | 0.593350 | − | 0.342571i | ||||
\(511\) | 8.58864 | − | 5.74601i | 0.379939 | − | 0.254188i | ||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | 6.98067 | + | 1.87046i | 0.308204 | + | 0.0825830i | ||||
\(514\) | 8.98014 | − | 8.98014i | 0.396097 | − | 0.396097i | ||||
\(515\) | 3.61960 | − | 13.5085i | 0.159499 | − | 0.595257i | ||||
\(516\) | 10.1649 | − | 5.86869i | 0.447483 | − | 0.258355i | ||||
\(517\) | 3.31253 | + | 5.73747i | 0.145685 | + | 0.252334i | ||||
\(518\) | −1.54660 | + | 1.76564i | −0.0679537 | + | 0.0775777i | ||||
\(519\) | − | 6.95312i | − | 0.305208i | ||||||
\(520\) | −6.05546 | − | 11.4134i | −0.265550 | − | 0.500511i | ||||
\(521\) | 17.2643 | − | 9.96755i | 0.756363 | − | 0.436686i | −0.0716253 | − | 0.997432i | \(-0.522819\pi\) |
0.827988 | + | 0.560745i | \(0.189485\pi\) | |||||||
\(522\) | 2.32828 | + | 8.68926i | 0.101906 | + | 0.380319i | ||||
\(523\) | − | 5.77080i | − | 0.252340i | −0.992009 | − | 0.126170i | \(-0.959732\pi\) | ||
0.992009 | − | 0.126170i | \(-0.0402684\pi\) | |||||||
\(524\) | −0.662484 | + | 1.14746i | −0.0289407 | + | 0.0501268i | ||||
\(525\) | −13.6694 | + | 15.6054i | −0.596582 | + | 0.681073i | ||||
\(526\) | 4.83191 | + | 18.0329i | 0.210681 | + | 0.786273i | ||||
\(527\) | 8.35031 | − | 31.1638i | 0.363745 | − | 1.35752i | ||||
\(528\) | 3.84991 | + | 1.03158i | 0.167546 | + | 0.0448937i | ||||
\(529\) | 22.4930 | 0.977955 | ||||||||
\(530\) | 6.18468 | 0.268645 | ||||||||
\(531\) | −3.91479 | − | 1.04896i | −0.169887 | − | 0.0455212i | ||||
\(532\) | 15.8920 | − | 10.6321i | 0.689006 | − | 0.460961i | ||||
\(533\) | 5.21914 | − | 4.85816i | 0.226066 | − | 0.210430i | ||||
\(534\) | −8.37168 | + | 14.5002i | −0.362278 | + | 0.627484i | ||||
\(535\) | 67.2108 | − | 18.0091i | 2.90578 | − | 0.778600i | ||||
\(536\) | −6.36172 | + | 11.0188i | −0.274785 | + | 0.475941i | ||||
\(537\) | −8.87956 | − | 15.3799i | −0.383181 | − | 0.663690i | ||||
\(538\) | 10.9975 | + | 10.9975i | 0.474135 | + | 0.474135i | ||||
\(539\) | 10.7070 | + | 25.7638i | 0.461182 | + | 1.10972i | ||||
\(540\) | −3.46134 | + | 0.927465i | −0.148953 | + | 0.0399117i | ||||
\(541\) | 28.0638 | − | 7.51967i | 1.20656 | − | 0.323296i | 0.401147 | − | 0.916014i | \(-0.368612\pi\) |
0.805410 | + | 0.592718i | \(0.201945\pi\) | |||||||
\(542\) | 13.7335i | 0.589903i | ||||||||
\(543\) | 11.8109 | + | 6.81901i | 0.506853 | + | 0.292632i | ||||
\(544\) | 3.05316 | − | 3.05316i | 0.130903 | − | 0.130903i | ||||
\(545\) | 47.8841 | 2.05113 | ||||||||
\(546\) | 8.11342 | − | 5.01721i | 0.347222 | − | 0.214717i | ||||
\(547\) | −7.46165 | −0.319037 | −0.159519 | − | 0.987195i | \(-0.550994\pi\) | ||||
−0.159519 | + | 0.987195i | \(0.550994\pi\) | |||||||
\(548\) | 1.52374 | − | 1.52374i | 0.0650908 | − | 0.0650908i | ||||
\(549\) | −7.04381 | − | 4.06674i | −0.300622 | − | 0.173564i | ||||
\(550\) | 31.2524i | 1.33261i | ||||||||
\(551\) | 62.7966 | − | 16.8263i | 2.67522 | − | 0.716824i | ||||
\(552\) | 0.687793 | − | 0.184294i | 0.0292744 | − | 0.00784406i | ||||
\(553\) | −4.25094 | − | 12.4989i | −0.180768 | − | 0.531506i | ||||
\(554\) | 1.31289 | + | 1.31289i | 0.0557794 | + | 0.0557794i | ||||
\(555\) | −1.58956 | − | 2.75319i | −0.0674729 | − | 0.116867i | ||||
\(556\) | 2.47060 | − | 4.27921i | 0.104777 | − | 0.181479i | ||||
\(557\) | 6.38717 | − | 1.71144i | 0.270633 | − | 0.0725160i | −0.120950 | − | 0.992659i | \(-0.538594\pi\) |
0.391583 | + | 0.920143i | \(0.371927\pi\) | |||||||
\(558\) | −3.73604 | + | 6.47102i | −0.158159 | + | 0.273940i | ||||
\(559\) | −19.8343 | − | 37.3839i | −0.838902 | − | 1.58117i | ||||
\(560\) | −4.18833 | + | 8.50562i | −0.176989 | + | 0.359428i | ||||
\(561\) | 16.6232 | + | 4.45417i | 0.701832 | + | 0.188055i | ||||
\(562\) | 17.9134 | 0.755630 | ||||||||
\(563\) | 40.4902 | 1.70646 | 0.853230 | − | 0.521535i | \(-0.174640\pi\) | ||||
0.853230 | + | 0.521535i | \(0.174640\pi\) | |||||||
\(564\) | −1.60556 | − | 0.430209i | −0.0676063 | − | 0.0181151i | ||||
\(565\) | 0.325851 | − | 1.21609i | 0.0137087 | − | 0.0511614i | ||||
\(566\) | −1.93482 | − | 7.22083i | −0.0813264 | − | 0.303514i | ||||
\(567\) | −0.851912 | − | 2.50484i | −0.0357769 | − | 0.105194i | ||||
\(568\) | −0.322635 | + | 0.558821i | −0.0135375 | + | 0.0234476i | ||||
\(569\) | − | 3.73110i | − | 0.156416i | −0.996937 | − | 0.0782080i | \(-0.975080\pi\) | ||
0.996937 | − | 0.0782080i | \(-0.0249198\pi\) | |||||||
\(570\) | 6.70271 | + | 25.0148i | 0.280746 | + | 1.04776i | ||||
\(571\) | −17.2895 | + | 9.98211i | −0.723544 | + | 0.417738i | −0.816056 | − | 0.577973i | \(-0.803844\pi\) |
0.0925116 | + | 0.995712i | \(0.470510\pi\) | |||||||
\(572\) | 4.21394 | − | 13.7390i | 0.176194 | − | 0.574456i | ||||
\(573\) | − | 10.1371i | − | 0.423484i | ||||||
\(574\) | −5.13227 | − | 1.01776i | −0.214217 | − | 0.0424803i | ||||
\(575\) | 2.79165 | + | 4.83528i | 0.116420 | + | 0.201645i | ||||
\(576\) | −0.866025 | + | 0.500000i | −0.0360844 | + | 0.0208333i | ||||
\(577\) | −1.83883 | + | 6.86259i | −0.0765513 | + | 0.285693i | −0.993581 | − | 0.113127i | \(-0.963913\pi\) |
0.917029 | + | 0.398820i | \(0.130580\pi\) | |||||||
\(578\) | 1.16216 | − | 1.16216i | 0.0483395 | − | 0.0483395i | ||||
\(579\) | 12.4154 | + | 3.32669i | 0.515965 | + | 0.138252i | ||||
\(580\) | −22.7942 | + | 22.7942i | −0.946480 | + | 0.946480i | ||||
\(581\) | 26.7287 | − | 1.76757i | 1.10889 | − | 0.0733313i | ||||
\(582\) | 7.47344 | − | 4.31479i | 0.309784 | − | 0.178854i | ||||
\(583\) | 4.86416 | + | 4.86416i | 0.201453 | + | 0.201453i | ||||
\(584\) | 1.95285 | + | 3.38243i | 0.0808095 | + | 0.139966i | ||||
\(585\) | 2.89512 | + | 12.5918i | 0.119699 | + | 0.520605i | ||||
\(586\) | 3.29279 | + | 1.90109i | 0.136024 | + | 0.0785335i | ||||
\(587\) | 6.45668 | − | 24.0967i | 0.266496 | − | 0.994576i | −0.694833 | − | 0.719171i | \(-0.744522\pi\) |
0.961328 | − | 0.275404i | \(-0.0888117\pi\) | |||||||
\(588\) | −6.47028 | − | 2.67123i | −0.266830 | − | 0.110160i | ||||
\(589\) | 46.7655 | + | 27.0001i | 1.92694 | + | 1.11252i | ||||
\(590\) | −3.75891 | − | 14.0284i | −0.154752 | − | 0.577542i | ||||
\(591\) | 10.4699 | + | 10.4699i | 0.430674 | + | 0.430674i | ||||
\(592\) | −0.627321 | − | 0.627321i | −0.0257827 | − | 0.0257827i | ||||
\(593\) | −8.49895 | − | 31.7185i | −0.349010 | − | 1.30252i | −0.887857 | − | 0.460120i | \(-0.847806\pi\) |
0.538847 | − | 0.842404i | \(-0.318860\pi\) | |||||||
\(594\) | −3.45173 | − | 1.99286i | −0.141626 | − | 0.0817680i | ||||
\(595\) | −18.0845 | + | 36.7257i | −0.741390 | + | 1.50561i | ||||
\(596\) | 1.91929 | − | 7.16290i | 0.0786173 | − | 0.293404i | ||||
\(597\) | −18.7154 | − | 10.8053i | −0.765969 | − | 0.442232i | ||||
\(598\) | −0.575281 | − | 2.50207i | −0.0235250 | − | 0.102317i | ||||
\(599\) | 15.6586 | + | 27.1214i | 0.639792 | + | 1.10815i | 0.985478 | + | 0.169802i | \(0.0543129\pi\) |
−0.345686 | + | 0.938350i | \(0.612354\pi\) | |||||||
\(600\) | −5.54449 | − | 5.54449i | −0.226353 | − | 0.226353i | ||||
\(601\) | −24.7157 | + | 14.2696i | −1.00817 | + | 0.582069i | −0.910656 | − | 0.413165i | \(-0.864423\pi\) |
−0.0975167 | + | 0.995234i | \(0.531090\pi\) | |||||||
\(602\) | −13.7186 | + | 27.8597i | −0.559130 | + | 1.13548i | ||||
\(603\) | 8.99683 | − | 8.99683i | 0.366379 | − | 0.366379i | ||||
\(604\) | 10.9730 | + | 2.94021i | 0.446485 | + | 0.119635i | ||||
\(605\) | −12.3804 | + | 12.3804i | −0.503335 | + | 0.503335i | ||||
\(606\) | 1.38907 | − | 5.18408i | 0.0564272 | − | 0.210589i | ||||
\(607\) | −16.7950 | + | 9.69658i | −0.681687 | + | 0.393572i | −0.800490 | − | 0.599346i | \(-0.795427\pi\) |
0.118803 | + | 0.992918i | \(0.462094\pi\) | |||||||
\(608\) | 3.61346 | + | 6.25869i | 0.146545 | + | 0.253824i | ||||
\(609\) | −17.9034 | − | 15.6824i | −0.725483 | − | 0.635482i | ||||
\(610\) | − | 29.1459i | − | 1.18008i | ||||||
\(611\) | −1.75738 | + | 5.72970i | −0.0710958 | + | 0.231799i | ||||
\(612\) | −3.73934 | + | 2.15891i | −0.151154 | + | 0.0872687i | ||||
\(613\) | −0.0218165 | − | 0.0814203i | −0.000881160 | − | 0.00328853i | 0.965484 | − | 0.260463i | \(-0.0838752\pi\) |
−0.966365 | + | 0.257174i | \(0.917209\pi\) | |||||||
\(614\) | 16.0583i | 0.648060i | ||||||||
\(615\) | 3.54329 | − | 6.13716i | 0.142879 | − | 0.247474i | ||||
\(616\) | −9.98360 | + | 3.39548i | −0.402251 | + | 0.136808i | ||||
\(617\) | −7.58497 | − | 28.3075i | −0.305360 | − | 1.13962i | −0.932635 | − | 0.360820i | \(-0.882497\pi\) |
0.627276 | − | 0.778797i | \(-0.284170\pi\) | |||||||
\(618\) | −1.01009 | + | 3.76970i | −0.0406317 | + | 0.151640i | ||||
\(619\) | 12.1835 | + | 3.26457i | 0.489698 | + | 0.131214i | 0.495215 | − | 0.868771i | \(-0.335089\pi\) |
−0.00551671 | + | 0.999985i | \(0.501756\pi\) | |||||||
\(620\) | −26.7758 | −1.07534 | ||||||||
\(621\) | −0.712056 | −0.0285738 | ||||||||
\(622\) | 10.2386 | + | 2.74342i | 0.410530 | + | 0.110001i | ||||
\(623\) | −2.92310 | − | 44.2022i | −0.117111 | − | 1.77092i | ||||
\(624\) | 1.68984 | + | 3.18503i | 0.0676478 | + | 0.127503i | ||||
\(625\) | −1.36134 | + | 2.35790i | −0.0544535 | + | 0.0943161i | ||||
\(626\) | 19.3647 | − | 5.18875i | 0.773968 | − | 0.207384i | ||||
\(627\) | −14.4022 | + | 24.9454i | −0.575170 | + | 0.996223i | ||||
\(628\) | −10.4079 | − | 18.0270i | −0.415320 | − | 0.719356i | ||||
\(629\) | −2.70866 | − | 2.70866i | −0.108001 | − | 0.108001i | ||||
\(630\) | 6.24703 | − | 7.13178i | 0.248888 | − | 0.284137i | ||||
\(631\) | 18.9752 | − | 5.08439i | 0.755392 | − | 0.202407i | 0.139483 | − | 0.990224i | \(-0.455456\pi\) |
0.615908 | + | 0.787818i | \(0.288789\pi\) | |||||||
\(632\) | 4.81985 | − | 1.29148i | 0.191723 | − | 0.0513722i | ||||
\(633\) | − | 23.8946i | − | 0.949727i | ||||||
\(634\) | −5.58571 | − | 3.22491i | −0.221837 | − | 0.128078i | ||||
\(635\) | −8.39277 | + | 8.39277i | −0.333057 | + | 0.333057i | ||||
\(636\) | −1.72590 | −0.0684364 | ||||||||
\(637\) | −10.4602 | + | 22.9692i | −0.414448 | + | 0.910073i | ||||
\(638\) | −35.8547 | −1.41950 | ||||||||
\(639\) | 0.456275 | − | 0.456275i | 0.0180500 | − | 0.0180500i | ||||
\(640\) | −3.10336 | − | 1.79172i | −0.122671 | − | 0.0708241i | ||||
\(641\) | 29.8364i | 1.17847i | 0.807962 | + | 0.589234i | \(0.200570\pi\) | ||||
−0.807962 | + | 0.589234i | \(0.799430\pi\) | |||||||
\(642\) | −18.7559 | + | 5.02563i | −0.740237 | + | 0.198346i | ||||
\(643\) | −24.2952 | + | 6.50987i | −0.958108 | + | 0.256724i | −0.703799 | − | 0.710399i | \(-0.748515\pi\) |
−0.254309 | + | 0.967123i | \(0.581848\pi\) | |||||||
\(644\) | −1.24133 | + | 1.41713i | −0.0489152 | + | 0.0558429i | ||||
\(645\) | −29.7411 | − | 29.7411i | −1.17106 | − | 1.17106i | ||||
\(646\) | 15.6023 | + | 27.0239i | 0.613862 | + | 1.06324i | ||||
\(647\) | 10.1862 | − | 17.6431i | 0.400462 | − | 0.693620i | −0.593320 | − | 0.804967i | \(-0.702183\pi\) |
0.993782 | + | 0.111347i | \(0.0355164\pi\) | |||||||
\(648\) | 0.965926 | − | 0.258819i | 0.0379452 | − | 0.0101674i | ||||
\(649\) | 8.07683 | − | 13.9895i | 0.317043 | − | 0.549135i | ||||
\(650\) | −20.6938 | + | 19.2625i | −0.811676 | + | 0.755538i | ||||
\(651\) | −1.30450 | − | 19.7262i | −0.0511272 | − | 0.773131i | ||||
\(652\) | 8.27580 | + | 2.21749i | 0.324105 | + | 0.0868438i | ||||
\(653\) | −37.3896 | −1.46317 | −0.731584 | − | 0.681752i | \(-0.761219\pi\) | ||||
−0.731584 | + | 0.681752i | \(0.761219\pi\) | |||||||
\(654\) | −13.3626 | −0.522518 | ||||||||
\(655\) | 4.58617 | + | 1.22886i | 0.179196 | + | 0.0480155i | ||||
\(656\) | 0.511837 | − | 1.91020i | 0.0199839 | − | 0.0745809i | ||||
\(657\) | −1.01087 | − | 3.77262i | −0.0394378 | − | 0.147184i | ||||
\(658\) | 4.16355 | − | 1.41605i | 0.162312 | − | 0.0552033i | ||||
\(659\) | −14.5963 | + | 25.2816i | −0.568593 | + | 0.984832i | 0.428113 | + | 0.903725i | \(0.359179\pi\) |
−0.996705 | + | 0.0811063i | \(0.974155\pi\) | |||||||
\(660\) | − | 14.2826i | − | 0.555950i | ||||||
\(661\) | 2.36366 | + | 8.82130i | 0.0919357 | + | 0.343109i | 0.996537 | − | 0.0831499i | \(-0.0264980\pi\) |
−0.904601 | + | 0.426259i | \(0.859831\pi\) | |||||||
\(662\) | 17.4094 | − | 10.0513i | 0.676636 | − | 0.390656i | ||||
\(663\) | 7.29643 | + | 13.7524i | 0.283370 | + | 0.534099i | ||||
\(664\) | 10.1246i | 0.392910i | ||||||||
\(665\) | −51.5408 | − | 45.1468i | −1.99866 | − | 1.75072i | ||||
\(666\) | 0.443583 | + | 0.768308i | 0.0171885 | + | 0.0297713i | ||||
\(667\) | −5.54733 | + | 3.20275i | −0.214793 | + | 0.124011i | ||||
\(668\) | −2.89312 | + | 10.7973i | −0.111938 | + | 0.417760i | ||||
\(669\) | −15.1598 | + | 15.1598i | −0.586110 | + | 0.586110i | ||||
\(670\) | 44.0402 | + | 11.8005i | 1.70142 | + | 0.455895i | ||||
\(671\) | 22.9228 | − | 22.9228i | 0.884926 | − | 0.884926i | ||||
\(672\) | 1.16880 | − | 2.37359i | 0.0450874 | − | 0.0915630i | ||||
\(673\) | −31.7383 | + | 18.3241i | −1.22342 | + | 0.706342i | −0.965645 | − | 0.259863i | \(-0.916322\pi\) |
−0.257774 | + | 0.966205i | \(0.582989\pi\) | |||||||
\(674\) | −1.78037 | − | 1.78037i | −0.0685772 | − | 0.0685772i | ||||
\(675\) | 3.92055 | + | 6.79059i | 0.150902 | + | 0.261370i | ||||
\(676\) | 11.6945 | − | 5.67782i | 0.449790 | − | 0.218378i | ||||
\(677\) | −7.40989 | − | 4.27810i | −0.284785 | − | 0.164421i | 0.350803 | − | 0.936449i | \(-0.385909\pi\) |
−0.635588 | + | 0.772029i | \(0.719242\pi\) | |||||||
\(678\) | −0.0909323 | + | 0.339364i | −0.00349223 | + | 0.0130332i | ||||
\(679\) | −10.0863 | + | 20.4831i | −0.387075 | + | 0.786068i | ||||
\(680\) | −13.3997 | − | 7.73634i | −0.513856 | − | 0.296675i | ||||
\(681\) | −0.681182 | − | 2.54220i | −0.0261029 | − | 0.0974175i | ||||
\(682\) | −21.0588 | − | 21.0588i | −0.806383 | − | 0.806383i | ||||
\(683\) | 8.05282 | + | 8.05282i | 0.308133 | + | 0.308133i | 0.844185 | − | 0.536052i | \(-0.180085\pi\) |
−0.536052 | + | 0.844185i | \(0.680085\pi\) | |||||||
\(684\) | −1.87046 | − | 6.98067i | −0.0715190 | − | 0.266912i | ||||
\(685\) | −6.68739 | − | 3.86097i | −0.255512 | − | 0.147520i | ||||
\(686\) | 18.1580 | − | 3.64495i | 0.693277 | − | 0.139165i | ||||
\(687\) | −5.43526 | + | 20.2847i | −0.207368 | + | 0.773909i | ||||
\(688\) | −10.1649 | − | 5.86869i | −0.387532 | − | 0.223742i | ||||
\(689\) | −0.222762 | + | 6.21884i | −0.00848656 | + | 0.236919i | ||||
\(690\) | −1.27581 | − | 2.20976i | −0.0485692 | − | 0.0841243i | ||||
\(691\) | −5.36678 | − | 5.36678i | −0.204162 | − | 0.204162i | 0.597619 | − | 0.801781i | \(-0.296114\pi\) |
−0.801781 | + | 0.597619i | \(0.796114\pi\) | |||||||
\(692\) | −6.02158 | + | 3.47656i | −0.228906 | + | 0.132159i | ||||
\(693\) | 10.5222 | − | 0.695836i | 0.399707 | − | 0.0264326i | ||||
\(694\) | 12.5572 | − | 12.5572i | 0.476664 | − | 0.476664i | ||||
\(695\) | −17.1032 | − | 4.58279i | −0.648761 | − | 0.173835i | ||||
\(696\) | 6.36098 | − | 6.36098i | 0.241112 | − | 0.241112i | ||||
\(697\) | 2.21002 | − | 8.24791i | 0.0837105 | − | 0.312412i | ||||
\(698\) | 3.67137 | − | 2.11967i | 0.138963 | − | 0.0802306i | ||||
\(699\) | 9.32927 | + | 16.1588i | 0.352865 | + | 0.611181i | ||||
\(700\) | 20.3493 | + | 4.03538i | 0.769133 | + | 0.152523i | ||||
\(701\) | 7.89055i | 0.298022i | 0.988836 | + | 0.149011i | \(0.0476090\pi\) | ||||
−0.988836 | + | 0.149011i | \(0.952391\pi\) | |||||||
\(702\) | −0.807915 | − | 3.51387i | −0.0304928 | − | 0.132622i | ||||
\(703\) | 5.55250 | − | 3.20574i | 0.209417 | − | 0.120907i | ||||
\(704\) | −1.03158 | − | 3.84991i | −0.0388791 | − | 0.145099i | ||||
\(705\) | 5.95641i | 0.224331i | ||||||||
\(706\) | 14.8402 | − | 25.7040i | 0.558519 | − | 0.967383i | ||||
\(707\) | 4.57218 | + | 13.4434i | 0.171954 | + | 0.505591i | ||||
\(708\) | 1.04896 | + | 3.91479i | 0.0394225 | + | 0.147127i | ||||
\(709\) | 3.37772 | − | 12.6058i | 0.126853 | − | 0.473422i | −0.873046 | − | 0.487638i | \(-0.837859\pi\) |
0.999899 | + | 0.0142160i | \(0.00452525\pi\) | |||||||
\(710\) | 2.23350 | + | 0.598465i | 0.0838219 | + | 0.0224600i | ||||
\(711\) | −4.98988 | −0.187135 | ||||||||
\(712\) | 16.7434 | 0.627484 | ||||||||
\(713\) | −5.13925 | − | 1.37706i | −0.192467 | − | 0.0515712i | ||||
\(714\) | 5.04666 | − | 10.2487i | 0.188867 | − | 0.383548i | ||||
\(715\) | −51.4637 | − | 1.84346i | −1.92463 | − | 0.0689414i | ||||
\(716\) | −8.87956 | + | 15.3799i | −0.331845 | + | 0.574772i | ||||
\(717\) | 11.5161 | − | 3.08573i | 0.430077 | − | 0.115239i | ||||
\(718\) | 0.259260 | − | 0.449051i | 0.00967548 | − | 0.0167584i | ||||
\(719\) | 20.3699 | + | 35.2816i | 0.759667 | + | 1.31578i | 0.943020 | + | 0.332735i | \(0.107972\pi\) |
−0.183353 | + | 0.983047i | \(0.558695\pi\) | |||||||
\(720\) | 2.53388 | + | 2.53388i | 0.0944321 | + | 0.0944321i | ||||
\(721\) | −3.32474 | − | 9.77561i | −0.123820 | − | 0.364063i | ||||
\(722\) | −32.0961 | + | 8.60012i | −1.19449 | + | 0.320063i | ||||
\(723\) | −14.5235 | + | 3.89157i | −0.540136 | + | 0.144729i | ||||
\(724\) | − | 13.6380i | − | 0.506853i | ||||||
\(725\) | 61.0867 | + | 35.2684i | 2.26870 | + | 1.30984i | ||||
\(726\) | 3.45489 | − | 3.45489i | 0.128223 | − | 0.128223i | ||||
\(727\) | 24.1295 | 0.894913 | 0.447457 | − | 0.894306i | \(-0.352330\pi\) | ||||
0.447457 | + | 0.894306i | \(0.352330\pi\) | |||||||
\(728\) | −8.40174 | − | 4.51783i | −0.311389 | − | 0.167442i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 9.89657 | − | 9.89657i | 0.366289 | − | 0.366289i | ||||
\(731\) | −43.8900 | − | 25.3399i | −1.62333 | − | 0.937231i | ||||
\(732\) | 8.13349i | 0.300622i | ||||||||
\(733\) | −21.4643 | + | 5.75135i | −0.792804 | + | 0.212431i | −0.632422 | − | 0.774624i | \(-0.717939\pi\) |
−0.160382 | + | 0.987055i | \(0.551272\pi\) | |||||||
\(734\) | −32.4078 | + | 8.68365i | −1.19619 | + | 0.320519i | ||||
\(735\) | −3.24508 | + | 24.8733i | −0.119697 | + | 0.917467i | ||||
\(736\) | −0.503500 | − | 0.503500i | −0.0185592 | − | 0.0185592i | ||||
\(737\) | 25.3560 | + | 43.9179i | 0.934001 | + | 1.61774i | ||||
\(738\) | −0.988794 | + | 1.71264i | −0.0363980 | + | 0.0630432i | ||||
\(739\) | −14.8523 | + | 3.97967i | −0.546351 | + | 0.146394i | −0.521428 | − | 0.853295i | \(-0.674601\pi\) |
−0.0249227 | + | 0.999689i | \(0.507934\pi\) | |||||||
\(740\) | −1.58956 | + | 2.75319i | −0.0584333 | + | 0.101209i | ||||
\(741\) | −25.3944 | + | 5.83873i | −0.932888 | + | 0.214491i | ||||
\(742\) | 3.79526 | − | 2.53912i | 0.139328 | − | 0.0932140i | ||||
\(743\) | −49.3360 | − | 13.2195i | −1.80996 | − | 0.484978i | −0.814501 | − | 0.580162i | \(-0.802989\pi\) |
−0.995460 | + | 0.0951843i | \(0.969656\pi\) | |||||||
\(744\) | 7.47209 | 0.273940 | ||||||||
\(745\) | −26.5733 | −0.973572 | ||||||||
\(746\) | −29.6360 | − | 7.94095i | −1.08505 | − | 0.290739i | ||||
\(747\) | 2.62043 | − | 9.77959i | 0.0958767 | − | 0.357817i | ||||
\(748\) | −4.45417 | − | 16.6232i | −0.162861 | − | 0.607804i | ||||
\(749\) | 33.8507 | − | 38.6448i | 1.23688 | − | 1.41205i | ||||
\(750\) | −5.09046 | + | 8.81694i | −0.185877 | + | 0.321949i | ||||
\(751\) | − | 18.6065i | − | 0.678962i | −0.940613 | − | 0.339481i | \(-0.889749\pi\) | ||
0.940613 | − | 0.339481i | \(-0.110251\pi\) | |||||||
\(752\) | 0.430209 | + | 1.60556i | 0.0156881 | + | 0.0585488i | ||||
\(753\) | 9.22082 | − | 5.32365i | 0.336026 | − | 0.194004i | ||||
\(754\) | −22.0991 | − | 23.7412i | −0.804803 | − | 0.864602i | ||||
\(755\) | − | 40.7083i | − | 1.48153i | ||||||
\(756\) | −1.74330 | + | 1.99020i | −0.0634033 | + | 0.0723829i | ||||
\(757\) | −9.09650 | − | 15.7556i | −0.330618 | − | 0.572647i | 0.652015 | − | 0.758206i | \(-0.273924\pi\) |
−0.982633 | + | 0.185559i | \(0.940590\pi\) | |||||||
\(758\) | 1.98902 | − | 1.14836i | 0.0722445 | − | 0.0417104i | ||||
\(759\) | 0.734542 | − | 2.74135i | 0.0266622 | − | 0.0995047i | ||||
\(760\) | 18.3121 | − | 18.3121i | 0.664251 | − | 0.664251i | ||||
\(761\) | 21.5729 | + | 5.78044i | 0.782017 | + | 0.209541i | 0.627674 | − | 0.778476i | \(-0.284007\pi\) |
0.154343 | + | 0.988017i | \(0.450674\pi\) | |||||||
\(762\) | 2.34209 | − | 2.34209i | 0.0848451 | − | 0.0848451i | ||||
\(763\) | 29.3843 | − | 19.6588i | 1.06378 | − | 0.711697i | ||||
\(764\) | −8.77900 | + | 5.06856i | −0.317613 | + | 0.183374i | ||||
\(765\) | 10.9408 | + | 10.9408i | 0.395567 | + | 0.395567i | ||||
\(766\) | 7.34957 | + | 12.7298i | 0.265551 | + | 0.459947i | ||||
\(767\) | 14.2413 | − | 3.27439i | 0.514224 | − | 0.118231i | ||||
\(768\) | 0.866025 | + | 0.500000i | 0.0312500 | + | 0.0180422i | ||||
\(769\) | −4.19052 | + | 15.6392i | −0.151114 | + | 0.563966i | 0.848293 | + | 0.529528i | \(0.177631\pi\) |
−0.999407 | + | 0.0344380i | \(0.989036\pi\) | |||||||
\(770\) | 21.0124 | + | 31.4075i | 0.757233 | + | 1.13185i | ||||
\(771\) | 10.9984 | + | 6.34992i | 0.396097 | + | 0.228687i | ||||
\(772\) | −3.32669 | − | 12.4154i | −0.119730 | − | 0.446839i | ||||
\(773\) | −11.9898 | − | 11.9898i | −0.431241 | − | 0.431241i | 0.457809 | − | 0.889050i | \(-0.348634\pi\) |
−0.889050 | + | 0.457809i | \(0.848634\pi\) | |||||||
\(774\) | 8.29958 | + | 8.29958i | 0.298322 | + | 0.298322i | ||||
\(775\) | 15.1640 | + | 56.5930i | 0.544709 | + | 2.03288i | ||||
\(776\) | −7.47344 | − | 4.31479i | −0.268281 | − | 0.154892i | ||||
\(777\) | −2.10576 | − | 1.03692i | −0.0755439 | − | 0.0371993i | ||||
\(778\) | −8.53270 | + | 31.8445i | −0.305912 | + | 1.14168i | ||||
\(779\) | 12.3771 | + | 7.14593i | 0.443456 | + | 0.256030i | ||||
\(780\) | 9.45723 | − | 8.80313i | 0.338623 | − | 0.315203i | ||||
\(781\) | 1.28593 | + | 2.22730i | 0.0460143 | + | 0.0796991i | ||||
\(782\) | −2.17402 | − | 2.17402i | −0.0777428 | − | 0.0777428i | ||||
\(783\) | −7.79058 | + | 4.49789i | −0.278413 | + | 0.160742i | ||||
\(784\) | 0.921790 | + | 6.93904i | 0.0329211 | + | 0.247823i | ||||
\(785\) | −52.7447 | + | 52.7447i | −1.88254 | + | 1.88254i | ||||
\(786\) | −1.27982 | − | 0.342927i | −0.0456497 | − | 0.0122318i | ||||
\(787\) | 11.5739 | − | 11.5739i | 0.412565 | − | 0.412565i | −0.470066 | − | 0.882631i | \(-0.655770\pi\) |
0.882631 | + | 0.470066i | \(0.155770\pi\) | |||||||
\(788\) | 3.83225 | − | 14.3021i | 0.136518 | − | 0.509493i | ||||
\(789\) | −16.1679 | + | 9.33453i | −0.575592 | + | 0.332318i | ||||
\(790\) | −8.94049 | − | 15.4854i | −0.318088 | − | 0.550945i | ||||
\(791\) | −0.299307 | − | 0.880041i | −0.0106421 | − | 0.0312906i | ||||
\(792\) | 3.98572i | 0.141626i | ||||||||
\(793\) | 29.3069 | + | 1.04979i | 1.04072 | + | 0.0372791i | ||||
\(794\) | 11.4421 | − | 6.60609i | 0.406064 | − | 0.234441i | ||||
\(795\) | 1.60071 | + | 5.97394i | 0.0567714 | + | 0.211874i | ||||
\(796\) | 21.6106i | 0.765969i | ||||||||
\(797\) | 12.8616 | − | 22.2770i | 0.455581 | − | 0.789090i | −0.543140 | − | 0.839642i | \(-0.682765\pi\) |
0.998721 | + | 0.0505519i | \(0.0160980\pi\) | |||||||
\(798\) | 14.3830 | + | 12.5987i | 0.509153 | + | 0.445989i | ||||
\(799\) | 1.85756 | + | 6.93252i | 0.0657159 | + | 0.245255i | ||||
\(800\) | −2.02943 | + | 7.57392i | −0.0717510 | + | 0.267778i | ||||
\(801\) | −16.1728 | − | 4.33350i | −0.571439 | − | 0.153117i | ||||
\(802\) | −14.8048 | −0.522777 | ||||||||
\(803\) | 15.5670 | 0.549348 | ||||||||
\(804\) | −12.2899 | − | 3.29307i | −0.433431 | − | 0.116138i | ||||
\(805\) | 6.05648 | + | 2.98233i | 0.213463 | + | 0.105113i | ||||
\(806\) | 0.964423 | − | 26.9237i | 0.0339704 | − | 0.948348i | ||||
\(807\) | −7.77639 | + | 13.4691i | −0.273742 | + | 0.474135i | ||||
\(808\) | −5.18408 | + | 1.38907i | −0.182375 | + | 0.0488673i | ||||
\(809\) | −5.36185 | + | 9.28700i | −0.188513 | + | 0.326514i | −0.944755 | − | 0.327779i | \(-0.893700\pi\) |
0.756242 | + | 0.654292i | \(0.227033\pi\) | |||||||
\(810\) | −1.79172 | − | 3.10336i | −0.0629548 | − | 0.109041i | ||||
\(811\) | −28.0122 | − | 28.0122i | −0.983641 | − | 0.983641i | 0.0162272 | − | 0.999868i | \(-0.494834\pi\) |
−0.999868 | + | 0.0162272i | \(0.994834\pi\) | |||||||
\(812\) | −4.62963 | + | 23.3460i | −0.162468 | + | 0.819284i | ||||
\(813\) | −13.2655 | + | 3.55448i | −0.465242 | + | 0.124661i | ||||
\(814\) | −3.41551 | + | 0.915183i | −0.119713 | + | 0.0320771i | ||||
\(815\) | − | 30.7020i | − | 1.07545i | ||||||
\(816\) | 3.73934 | + | 2.15891i | 0.130903 | + | 0.0755769i | ||||
\(817\) | 59.9804 | − | 59.9804i | 2.09845 | − | 2.09845i | ||||
\(818\) | −21.1804 | −0.740556 | ||||||||
\(819\) | 6.94616 | + | 6.53841i | 0.242718 | + | 0.228471i | ||||
\(820\) | −7.08658 | −0.247474 | ||||||||
\(821\) | −26.2639 | + | 26.2639i | −0.916618 | + | 0.916618i | −0.996782 | − | 0.0801641i | \(-0.974456\pi\) |
0.0801641 | + | 0.996782i | \(0.474456\pi\) | |||||||
\(822\) | 1.86619 | + | 1.07745i | 0.0650908 | + | 0.0375802i | ||||
\(823\) | − | 32.9801i | − | 1.14961i | −0.818289 | − | 0.574807i | \(-0.805077\pi\) | ||
0.818289 | − | 0.574807i | \(-0.194923\pi\) | |||||||
\(824\) | 3.76970 | − | 1.01009i | 0.131324 | − | 0.0351881i | ||||
\(825\) | −30.1875 | + | 8.08872i | −1.05099 | + | 0.281613i | ||||
\(826\) | −8.06605 | − | 7.06541i | −0.280654 | − | 0.245837i | ||||
\(827\) | −5.18018 | − | 5.18018i | −0.180132 | − | 0.180132i | 0.611281 | − | 0.791414i | \(-0.290654\pi\) |
−0.791414 | + | 0.611281i | \(0.790654\pi\) | |||||||
\(828\) | 0.356028 | + | 0.616658i | 0.0123728 | + | 0.0214304i | ||||
\(829\) | −24.0315 | + | 41.6237i | −0.834648 | + | 1.44565i | 0.0596693 | + | 0.998218i | \(0.480995\pi\) |
−0.894317 | + | 0.447434i | \(0.852338\pi\) | |||||||
\(830\) | 35.0447 | − | 9.39019i | 1.21642 | − | 0.325938i | ||||
\(831\) | −0.928354 | + | 1.60796i | −0.0322042 | + | 0.0557794i | ||||
\(832\) | 1.91340 | − | 3.05596i | 0.0663351 | − | 0.105946i | ||||
\(833\) | 3.98012 | + | 29.9615i | 0.137903 | + | 1.03810i | ||||
\(834\) | 4.77283 | + | 1.27888i | 0.165270 | + | 0.0442839i | ||||
\(835\) | 40.0564 | 1.38621 | ||||||||
\(836\) | 28.8045 | 0.996223 | ||||||||
\(837\) | −7.21748 | − | 1.93392i | −0.249473 | − | 0.0668460i | ||||
\(838\) | 2.33441 | − | 8.71215i | 0.0806410 | − | 0.300956i | ||||
\(839\) | −3.47079 | − | 12.9532i | −0.119825 | − | 0.447193i | 0.879778 | − | 0.475385i | \(-0.157691\pi\) |
−0.999603 | + | 0.0281929i | \(0.991025\pi\) | |||||||
\(840\) | −9.29982 | − | 1.84420i | −0.320874 | − | 0.0636310i | ||||
\(841\) | −25.9621 | + | 44.9677i | −0.895245 | + | 1.55061i | ||||
\(842\) | 7.17208i | 0.247166i | ||||||||
\(843\) | 4.63632 | + | 17.3030i | 0.159683 | + | 0.595947i | ||||
\(844\) | −20.6934 | + | 11.9473i | −0.712295 | + | 0.411244i | ||||
\(845\) | −30.4992 | − | 35.2129i | −1.04920 | − | 1.21136i | ||||
\(846\) | − | 1.66220i | − | 0.0571476i | ||||||
\(847\) | −2.51453 | + | 12.6801i | −0.0864002 | + | 0.435693i | ||||
\(848\) | 0.862951 | + | 1.49467i | 0.0296338 | + | 0.0513273i | ||||
\(849\) | 6.47402 | − | 3.73778i | 0.222188 | − | 0.128280i | ||||
\(850\) | −8.76269 | + | 32.7028i | −0.300558 | + | 1.12170i | ||||
\(851\) | −0.446688 | + | 0.446688i | −0.0153123 | + | 0.0153123i | ||||
\(852\) | −0.623283 | − | 0.167008i | −0.0213533 | − | 0.00572161i | ||||
\(853\) | 34.5255 | − | 34.5255i | 1.18213 | − | 1.18213i | 0.202939 | − | 0.979191i | \(-0.434951\pi\) |
0.979191 | − | 0.202939i | \(-0.0650492\pi\) | |||||||
\(854\) | −11.9659 | − | 17.8856i | −0.409464 | − | 0.612031i | ||||
\(855\) | −22.4277 | + | 12.9486i | −0.767011 | + | 0.442834i | ||||
\(856\) | 13.7303 | + | 13.7303i | 0.469291 | + | 0.469291i | ||||
\(857\) | 20.6789 | + | 35.8169i | 0.706377 | + | 1.22348i | 0.966192 | + | 0.257823i | \(0.0830051\pi\) |
−0.259815 | + | 0.965658i | \(0.583662\pi\) | |||||||
\(858\) | 14.3615 | + | 0.514437i | 0.490294 | + | 0.0175626i | ||||
\(859\) | 30.9750 | + | 17.8834i | 1.05685 | + | 0.610175i | 0.924560 | − | 0.381036i | \(-0.124433\pi\) |
0.132293 | + | 0.991211i | \(0.457766\pi\) | |||||||
\(860\) | −10.8860 | + | 40.6271i | −0.371210 | + | 1.38537i | ||||
\(861\) | −0.345252 | − | 5.22080i | −0.0117662 | − | 0.177924i | ||||
\(862\) | −13.0755 | − | 7.54913i | −0.445352 | − | 0.257124i | ||||
\(863\) | 0.863708 | + | 3.22340i | 0.0294010 | + | 0.109726i | 0.979067 | − | 0.203538i | \(-0.0652441\pi\) |
−0.949666 | + | 0.313264i | \(0.898577\pi\) | |||||||
\(864\) | −0.707107 | − | 0.707107i | −0.0240563 | − | 0.0240563i | ||||
\(865\) | 17.6184 | + | 17.6184i | 0.599043 | + | 0.599043i | ||||
\(866\) | 9.48521 | + | 35.3993i | 0.322321 | + | 1.20292i | ||||
\(867\) | 1.42335 | + | 0.821772i | 0.0483395 | + | 0.0279088i | ||||
\(868\) | −16.4311 | + | 10.9928i | −0.557709 | + | 0.373121i | ||||
\(869\) | 5.14746 | − | 19.2106i | 0.174616 | − | 0.651674i | ||||
\(870\) | −27.9171 | − | 16.1180i | −0.946480 | − | 0.546450i | ||||
\(871\) | −13.4520 | + | 43.8584i | −0.455803 | + | 1.48609i | ||||
\(872\) | 6.68128 | + | 11.5723i | 0.226257 | + | 0.391888i | ||||
\(873\) | 6.10204 | + | 6.10204i | 0.206523 | + | 0.206523i | ||||
\(874\) | 4.45654 | − | 2.57298i | 0.150745 | − | 0.0870325i | ||||
\(875\) | −1.77741 | − | 26.8775i | −0.0600874 | − | 0.908625i | ||||
\(876\) | −2.76175 | + | 2.76175i | −0.0933107 | + | 0.0933107i | ||||
\(877\) | −14.8962 | − | 3.99142i | −0.503008 | − | 0.134781i | −0.00161249 | − | 0.999999i | \(-0.500513\pi\) |
−0.501396 | + | 0.865218i | \(0.667180\pi\) | |||||||
\(878\) | −19.6396 | + | 19.6396i | −0.662803 | + | 0.662803i | ||||
\(879\) | −0.984079 | + | 3.67263i | −0.0331922 | + | 0.123875i | ||||
\(880\) | −12.3691 | + | 7.14131i | −0.416962 | + | 0.240733i | ||||
\(881\) | 0.913525 | + | 1.58227i | 0.0307774 | + | 0.0533081i | 0.881004 | − | 0.473109i | \(-0.156868\pi\) |
−0.850226 | + | 0.526417i | \(0.823535\pi\) | |||||||
\(882\) | 0.905576 | − | 6.94118i | 0.0304923 | − | 0.233722i | ||||
\(883\) | − | 2.82109i | − | 0.0949371i | −0.998873 | − | 0.0474686i | \(-0.984885\pi\) | ||
0.998873 | − | 0.0474686i | \(-0.0151154\pi\) | |||||||
\(884\) | 8.26170 | − | 13.1951i | 0.277871 | − | 0.443799i | ||||
\(885\) | 12.5776 | − | 7.26165i | 0.422790 | − | 0.244098i | ||||
\(886\) | −4.04959 | − | 15.1133i | −0.136049 | − | 0.507741i | ||||
\(887\) | − | 5.81024i | − | 0.195089i | −0.995231 | − | 0.0975445i | \(-0.968901\pi\) | ||
0.995231 | − | 0.0975445i | \(-0.0310988\pi\) | |||||||
\(888\) | 0.443583 | − | 0.768308i | 0.0148857 | − | 0.0257827i | ||||
\(889\) | −1.70462 | + | 8.59592i | −0.0571710 | + | 0.288298i | ||||
\(890\) | −15.5289 | − | 57.9545i | −0.520529 | − | 1.94264i | ||||
\(891\) | 1.03158 | − | 3.84991i | 0.0345592 | − | 0.128977i | ||||
\(892\) | 20.7086 | + | 5.54886i | 0.693376 | + | 0.185790i | ||||
\(893\) | −12.0126 | −0.401986 | ||||||||
\(894\) | 7.41558 | 0.248014 | ||||||||
\(895\) | 61.4704 | + | 16.4710i | 2.05473 | + | 0.550563i | ||||
\(896\) | −2.63999 | + | 0.174582i | −0.0881957 | + | 0.00583239i | ||||
\(897\) | 2.26792 | − | 1.20326i | 0.0757237 | − | 0.0401758i | ||||
\(898\) | 4.99512 | − | 8.65181i | 0.166689 | − | 0.288715i | ||||
\(899\) | −64.9270 | + | 17.3971i | −2.16544 | + | 0.580227i | ||||
\(900\) | 3.92055 | − | 6.79059i | 0.130685 | − | 0.226353i | ||||
\(901\) | 3.72606 | + | 6.45373i | 0.124133 | + | 0.215005i | ||||
\(902\) | −5.57349 | − | 5.57349i | −0.185577 | − | 0.185577i | ||||
\(903\) | −30.4610 | − | 6.04058i | −1.01368 | − | 0.201018i | ||||
\(904\) | 0.339364 | − | 0.0909323i | 0.0112871 | − | 0.00302436i | ||||
\(905\) | −47.2059 | + | 12.6488i | −1.56918 | + | 0.420460i | ||||
\(906\) | 11.3601i | 0.377414i | ||||||||
\(907\) | 10.6409 | + | 6.14352i | 0.353325 | + | 0.203992i | 0.666149 | − | 0.745819i | \(-0.267942\pi\) |
−0.312824 | + | 0.949811i | \(0.601275\pi\) | |||||||
\(908\) | −1.86102 | + | 1.86102i | −0.0617602 | + | 0.0617602i | ||||
\(909\) | 5.36696 | 0.178011 | ||||||||
\(910\) | −7.84543 | + | 33.2714i | −0.260074 | + | 1.10294i | ||||
\(911\) | −55.2245 | −1.82967 | −0.914834 | − | 0.403830i | \(-0.867679\pi\) | ||||
−0.914834 | + | 0.403830i | \(0.867679\pi\) | |||||||
\(912\) | −5.11020 | + | 5.11020i | −0.169216 | + | 0.169216i | ||||
\(913\) | 34.9473 | + | 20.1769i | 1.15659 | + | 0.667757i | ||||
\(914\) | 14.2372i | 0.470924i | ||||||||
\(915\) | 28.1528 | − | 7.54352i | 0.930703 | − | 0.249381i | ||||
\(916\) | 20.2847 | − | 5.43526i | 0.670225 | − | 0.179586i | ||||
\(917\) | 3.31884 | − | 1.12876i | 0.109598 | − | 0.0372748i | ||||
\(918\) | −3.05316 | − | 3.05316i | −0.100769 | − | 0.100769i | ||||
\(919\) | −10.9433 | − | 18.9543i | −0.360985 | − | 0.625245i | 0.627138 | − | 0.778908i | \(-0.284226\pi\) |
−0.988123 | + | 0.153664i | \(0.950893\pi\) | |||||||
\(920\) | −1.27581 | + | 2.20976i | −0.0420621 | + | 0.0728537i | ||||
\(921\) | −15.5111 | + | 4.15619i | −0.511109 | + | 0.136951i | ||||
\(922\) | 14.2166 | − | 24.6239i | 0.468200 | − | 0.810946i | ||||
\(923\) | −0.682218 | + | 2.22428i | −0.0224555 | + | 0.0732132i | ||||
\(924\) | −5.86373 | − | 8.76461i | −0.192903 | − | 0.288334i | ||||
\(925\) | 6.71932 | + | 1.80044i | 0.220930 | + | 0.0591980i | ||||
\(926\) | 13.6212 | 0.447621 | ||||||||
\(927\) | −3.90268 | −0.128181 | ||||||||
\(928\) | −8.68926 | − | 2.32828i | −0.285239 | − | 0.0764296i | ||||
\(929\) | 3.75511 | − | 14.0143i | 0.123201 | − | 0.459793i | −0.876568 | − | 0.481278i | \(-0.840173\pi\) |
0.999769 | + | 0.0214851i | \(0.00683944\pi\) | |||||||
\(930\) | −6.93010 | − | 25.8635i | −0.227247 | − | 0.848097i | ||||
\(931\) | −50.1633 | − | 6.54452i | −1.64404 | − | 0.214488i | ||||
\(932\) | 9.32927 | − | 16.1588i | 0.305590 | − | 0.529298i | ||||
\(933\) | 10.5998i | 0.347020i | ||||||||
\(934\) | −7.95710 | − | 29.6963i | −0.260364 | − | 0.971693i | ||||
\(935\) | −53.4075 | + | 30.8349i | −1.74661 | + | 1.00841i | ||||
\(936\) | −2.63914 | + | 2.45661i | −0.0862631 | + | 0.0802968i | ||||
\(937\) | 20.5964i | 0.672856i | 0.941709 | + | 0.336428i | \(0.109219\pi\) | ||||
−0.941709 | + | 0.336428i | \(0.890781\pi\) | |||||||
\(938\) | 31.8702 | − | 10.8393i | 1.04060 | − | 0.353914i | ||||
\(939\) | 10.0239 | + | 17.3619i | 0.327117 | + | 0.566584i | ||||
\(940\) | 5.15840 | − | 2.97820i | 0.168248 | − | 0.0971383i | ||||
\(941\) | 8.56080 | − | 31.9494i | 0.279074 | − | 1.04152i | −0.673987 | − | 0.738743i | \(-0.735420\pi\) |
0.953062 | − | 0.302776i | \(-0.0979135\pi\) | |||||||
\(942\) | 14.7190 | − | 14.7190i | 0.479571 | − | 0.479571i | ||||
\(943\) | −1.36017 | − | 0.364457i | −0.0442933 | − | 0.0118683i | ||||
\(944\) | 2.86582 | − | 2.86582i | 0.0932746 | − | 0.0932746i | ||||
\(945\) | 8.50562 | + | 4.18833i | 0.276688 | + | 0.136246i | ||||
\(946\) | −40.5143 | + | 23.3909i | −1.31723 | + | 0.760505i | ||||
\(947\) | −22.6911 | − | 22.6911i | −0.737360 | − | 0.737360i | 0.234706 | − | 0.972066i | \(-0.424587\pi\) |
−0.972066 | + | 0.234706i | \(0.924587\pi\) | |||||||
\(948\) | 2.49494 | + | 4.32136i | 0.0810319 | + | 0.140351i | ||||
\(949\) | 9.59478 | + | 10.3077i | 0.311460 | + | 0.334602i | ||||
\(950\) | −49.0750 | − | 28.3335i | −1.59220 | − | 0.919259i | ||||
\(951\) | 1.66934 | − | 6.23006i | 0.0541320 | − | 0.202023i | ||||
\(952\) | −11.3990 | + | 0.753815i | −0.369443 | + | 0.0244313i | ||||
\(953\) | 33.5501 | + | 19.3702i | 1.08679 | + | 0.627461i | 0.932721 | − | 0.360598i | \(-0.117427\pi\) |
0.154073 | + | 0.988059i | \(0.450761\pi\) | |||||||
\(954\) | −0.446696 | − | 1.66709i | −0.0144623 | − | 0.0539741i | ||||
\(955\) | 25.6862 | + | 25.6862i | 0.831187 | + | 0.831187i | ||||
\(956\) | −8.43037 | − | 8.43037i | −0.272658 | − | 0.272658i | ||||
\(957\) | −9.27987 | − | 34.6330i | −0.299976 | − | 1.11952i | ||||
\(958\) | 13.6521 | + | 7.88207i | 0.441081 | + | 0.254658i | ||||
\(959\) | −5.68888 | + | 0.376206i | −0.183703 | + | 0.0121483i | ||||
\(960\) | 0.927465 | − | 3.46134i | 0.0299338 | − | 0.111714i | ||||
\(961\) | −21.5052 | − | 12.4161i | −0.693718 | − | 0.400518i | ||||
\(962\) | −2.71115 | − | 1.69750i | −0.0874109 | − | 0.0547297i | ||||
\(963\) | −9.70877 | − | 16.8161i | −0.312861 | − | 0.541891i | ||||
\(964\) | 10.6320 | + | 10.6320i | 0.342433 | + | 0.342433i | ||||
\(965\) | −39.8885 | + | 23.0296i | −1.28406 | + | 0.741350i | ||||
\(966\) | −1.69013 | − | 0.832251i | −0.0543789 | − | 0.0267772i | ||||
\(967\) | 13.3179 | − | 13.3179i | 0.428274 | − | 0.428274i | −0.459766 | − | 0.888040i | \(-0.652067\pi\) |
0.888040 | + | 0.459766i | \(0.152067\pi\) | |||||||
\(968\) | −4.71946 | − | 1.26458i | −0.151689 | − | 0.0406450i | ||||
\(969\) | −22.0649 | + | 22.0649i | −0.708827 | + | 0.708827i | ||||
\(970\) | −8.00364 | + | 29.8700i | −0.256981 | + | 0.959067i | ||||
\(971\) | −15.6269 | + | 9.02220i | −0.501491 | + | 0.289536i | −0.729329 | − | 0.684163i | \(-0.760168\pi\) |
0.227838 | + | 0.973699i | \(0.426834\pi\) | |||||||
\(972\) | 0.500000 | + | 0.866025i | 0.0160375 | + | 0.0277778i | ||||
\(973\) | −12.3769 | + | 4.20947i | −0.396787 | + | 0.134949i | ||||
\(974\) | 18.5892i | 0.595635i | ||||||||
\(975\) | −23.9621 | − | 15.0031i | −0.767401 | − | 0.480485i | ||||
\(976\) | 7.04381 | − | 4.06674i | 0.225467 | − | 0.130173i | ||||
\(977\) | 2.63296 | + | 9.82635i | 0.0842360 | + | 0.314373i | 0.995168 | − | 0.0981827i | \(-0.0313029\pi\) |
−0.910932 | + | 0.412556i | \(0.864636\pi\) | |||||||
\(978\) | 8.56774i | 0.273966i | ||||||||
\(979\) | 33.3672 | − | 57.7936i | 1.06642 | − | 1.84709i | ||||
\(980\) | 23.1635 | − | 9.62635i | 0.739931 | − | 0.307502i | ||||
\(981\) | −3.45849 | − | 12.9072i | −0.110421 | − | 0.412097i | ||||
\(982\) | −3.30280 | + | 12.3262i | −0.105397 | + | 0.393345i | ||||
\(983\) | −2.10554 | − | 0.564179i | −0.0671564 | − | 0.0179945i | 0.225084 | − | 0.974339i | \(-0.427734\pi\) |
−0.292241 | + | 0.956345i | \(0.594401\pi\) | |||||||
\(984\) | 1.97759 | 0.0630432 | ||||||||
\(985\) | −53.0589 | −1.69060 | ||||||||
\(986\) | −37.5186 | − | 10.0531i | −1.19484 | − | 0.320156i | ||||
\(987\) | 2.44540 | + | 3.65518i | 0.0778381 | + | 0.116346i | ||||
\(988\) | 17.7537 | + | 19.0729i | 0.564821 | + | 0.606788i | ||||
\(989\) | −4.17884 | + | 7.23796i | −0.132879 | + | 0.230154i | ||||
\(990\) | 13.7959 | − | 3.69661i | 0.438464 | − | 0.117486i | ||||
\(991\) | 17.3203 | − | 29.9997i | 0.550198 | − | 0.952971i | −0.448062 | − | 0.894003i | \(-0.647886\pi\) |
0.998260 | − | 0.0589682i | \(-0.0187811\pi\) | |||||||
\(992\) | −3.73604 | − | 6.47102i | −0.118620 | − | 0.205455i | ||||
\(993\) | 14.2147 | + | 14.2147i | 0.451091 | + | 0.451091i | ||||
\(994\) | 1.61630 | − | 0.549714i | 0.0512660 | − | 0.0174359i | ||||
\(995\) | 74.8019 | − | 20.0431i | 2.37138 | − | 0.635409i | ||||
\(996\) | −9.77959 | + | 2.62043i | −0.309878 | + | 0.0830316i | ||||
\(997\) | − | 4.80515i | − | 0.152181i | −0.997101 | − | 0.0760903i | \(-0.975756\pi\) | ||
0.997101 | − | 0.0760903i | \(-0.0242437\pi\) | |||||||
\(998\) | 27.9278 | + | 16.1241i | 0.884040 | + | 0.510401i | ||||
\(999\) | −0.627321 | + | 0.627321i | −0.0198476 | + | 0.0198476i |
(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.cg.a.145.5 | yes | 32 | |
7.3 | odd | 6 | 546.2.by.a.535.5 | yes | 32 | ||
13.7 | odd | 12 | 546.2.by.a.397.5 | ✓ | 32 | ||
91.59 | even | 12 | inner | 546.2.cg.a.241.5 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.a.397.5 | ✓ | 32 | 13.7 | odd | 12 | ||
546.2.by.a.535.5 | yes | 32 | 7.3 | odd | 6 | ||
546.2.cg.a.145.5 | yes | 32 | 1.1 | even | 1 | trivial | |
546.2.cg.a.241.5 | yes | 32 | 91.59 | even | 12 | inner |