Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(31,546)]
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, 2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bz (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: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 73.6 | ||
Character | \(\chi\) | \(=\) | 546.73 |
Dual form | 546.2.bz.b.187.6 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.258819 | − | 0.965926i | 0.183013 | − | 0.683013i | ||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | −0.866025 | − | 0.500000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −4.17716 | − | 1.11927i | −1.86808 | − | 0.500552i | −0.999991 | − | 0.00414924i | \(-0.998679\pi\) |
−0.868093 | − | 0.496402i | \(-0.834654\pi\) | |||||||
\(6\) | 0.707107 | − | 0.707107i | 0.288675 | − | 0.288675i | ||||
\(7\) | −0.344270 | − | 2.62326i | −0.130122 | − | 0.991498i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −2.16226 | + | 3.74514i | −0.683766 | + | 1.18432i | ||||
\(11\) | 1.30811 | + | 4.88192i | 0.394409 | + | 1.47196i | 0.822784 | + | 0.568354i | \(0.192420\pi\) |
−0.428375 | + | 0.903601i | \(0.640914\pi\) | |||||||
\(12\) | −0.500000 | − | 0.866025i | −0.144338 | − | 0.250000i | ||||
\(13\) | −3.28713 | + | 1.48147i | −0.911687 | + | 0.410886i | ||||
\(14\) | −2.62298 | − | 0.346409i | −0.701020 | − | 0.0925818i | ||||
\(15\) | −3.05790 | − | 3.05790i | −0.789545 | − | 0.789545i | ||||
\(16\) | 0.500000 | + | 0.866025i | 0.125000 | + | 0.216506i | ||||
\(17\) | −1.53445 | + | 2.65775i | −0.372159 | + | 0.644599i | −0.989897 | − | 0.141785i | \(-0.954716\pi\) |
0.617738 | + | 0.786384i | \(0.288049\pi\) | |||||||
\(18\) | 0.965926 | − | 0.258819i | 0.227671 | − | 0.0610042i | ||||
\(19\) | −3.43041 | − | 0.919175i | −0.786990 | − | 0.210873i | −0.157126 | − | 0.987579i | \(-0.550223\pi\) |
−0.629864 | + | 0.776705i | \(0.716889\pi\) | |||||||
\(20\) | 3.05790 | + | 3.05790i | 0.683766 | + | 0.683766i | ||||
\(21\) | 1.01348 | − | 2.44394i | 0.221160 | − | 0.533312i | ||||
\(22\) | 5.05414 | 1.07755 | ||||||||
\(23\) | −3.27981 | + | 1.89360i | −0.683888 | + | 0.394843i | −0.801318 | − | 0.598238i | \(-0.795868\pi\) |
0.117430 | + | 0.993081i | \(0.462534\pi\) | |||||||
\(24\) | −0.965926 | + | 0.258819i | −0.197169 | + | 0.0528312i | ||||
\(25\) | 11.8658 | + | 6.85072i | 2.37316 | + | 1.37014i | ||||
\(26\) | 0.580218 | + | 3.55856i | 0.113790 | + | 0.697891i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −1.01348 | + | 2.44394i | −0.191530 | + | 0.461862i | ||||
\(29\) | −5.32331 | −0.988514 | −0.494257 | − | 0.869316i | \(-0.664560\pi\) | ||||
−0.494257 | + | 0.869316i | \(0.664560\pi\) | |||||||
\(30\) | −3.74514 | + | 2.16226i | −0.683766 | + | 0.394773i | ||||
\(31\) | −2.08124 | − | 7.76730i | −0.373802 | − | 1.39505i | −0.855087 | − | 0.518484i | \(-0.826497\pi\) |
0.481285 | − | 0.876564i | \(-0.340170\pi\) | |||||||
\(32\) | 0.965926 | − | 0.258819i | 0.170753 | − | 0.0457532i | ||||
\(33\) | −1.30811 | + | 4.88192i | −0.227712 | + | 0.849834i | ||||
\(34\) | 2.17004 | + | 2.17004i | 0.372159 | + | 0.372159i | ||||
\(35\) | −1.49805 | + | 11.3431i | −0.253217 | + | 1.91733i | ||||
\(36\) | − | 1.00000i | − | 0.166667i | ||||||
\(37\) | −3.74857 | − | 1.00443i | −0.616262 | − | 0.165127i | −0.0628338 | − | 0.998024i | \(-0.520014\pi\) |
−0.553428 | + | 0.832897i | \(0.686680\pi\) | |||||||
\(38\) | −1.77571 | + | 3.07562i | −0.288058 | + | 0.498932i | ||||
\(39\) | −3.58748 | − | 0.360575i | −0.574456 | − | 0.0577382i | ||||
\(40\) | 3.74514 | − | 2.16226i | 0.592159 | − | 0.341883i | ||||
\(41\) | −2.16181 | + | 2.16181i | −0.337618 | + | 0.337618i | −0.855470 | − | 0.517852i | \(-0.826732\pi\) |
0.517852 | + | 0.855470i | \(0.326732\pi\) | |||||||
\(42\) | −2.09836 | − | 1.61149i | −0.323784 | − | 0.248658i | ||||
\(43\) | − | 8.74410i | − | 1.33346i | −0.745298 | − | 0.666731i | \(-0.767693\pi\) | ||
0.745298 | − | 0.666731i | \(-0.232307\pi\) | |||||||
\(44\) | 1.30811 | − | 4.88192i | 0.197205 | − | 0.735978i | ||||
\(45\) | −1.11927 | − | 4.17716i | −0.166851 | − | 0.622695i | ||||
\(46\) | 0.980199 | + | 3.65815i | 0.144522 | + | 0.539365i | ||||
\(47\) | 2.31434 | − | 8.63722i | 0.337581 | − | 1.25987i | −0.563463 | − | 0.826141i | \(-0.690531\pi\) |
0.901044 | − | 0.433727i | \(-0.142802\pi\) | |||||||
\(48\) | 1.00000i | 0.144338i | ||||||||
\(49\) | −6.76296 | + | 1.80622i | −0.966137 | + | 0.258031i | ||||
\(50\) | 9.68839 | − | 9.68839i | 1.37014 | − | 1.37014i | ||||
\(51\) | −2.65775 | + | 1.53445i | −0.372159 | + | 0.214866i | ||||
\(52\) | 3.58748 | + | 0.360575i | 0.497493 | + | 0.0500028i | ||||
\(53\) | −0.196202 | + | 0.339831i | −0.0269504 | + | 0.0466794i | −0.879186 | − | 0.476479i | \(-0.841913\pi\) |
0.852236 | + | 0.523158i | \(0.175246\pi\) | |||||||
\(54\) | 0.965926 | + | 0.258819i | 0.131446 | + | 0.0352208i | ||||
\(55\) | − | 21.8567i | − | 2.94716i | ||||||
\(56\) | 2.09836 | + | 1.61149i | 0.280405 | + | 0.215344i | ||||
\(57\) | −2.51123 | − | 2.51123i | −0.332621 | − | 0.332621i | ||||
\(58\) | −1.37777 | + | 5.14192i | −0.180911 | + | 0.675168i | ||||
\(59\) | 0.810898 | − | 0.217280i | 0.105570 | − | 0.0282874i | −0.205647 | − | 0.978626i | \(-0.565930\pi\) |
0.311217 | + | 0.950339i | \(0.399263\pi\) | |||||||
\(60\) | 1.11927 | + | 4.17716i | 0.144497 | + | 0.539269i | ||||
\(61\) | 3.31015 | − | 1.91111i | 0.423821 | − | 0.244693i | −0.272890 | − | 0.962045i | \(-0.587979\pi\) |
0.696711 | + | 0.717352i | \(0.254646\pi\) | |||||||
\(62\) | −8.04130 | −1.02125 | ||||||||
\(63\) | 2.09967 | − | 1.60978i | 0.264534 | − | 0.202813i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 15.3891 | − | 2.50916i | 1.90878 | − | 0.311223i | ||||
\(66\) | 4.37701 | + | 2.52707i | 0.538773 | + | 0.311061i | ||||
\(67\) | −5.85964 | + | 1.57009i | −0.715869 | + | 0.191817i | −0.598328 | − | 0.801251i | \(-0.704168\pi\) |
−0.117541 | + | 0.993068i | \(0.537501\pi\) | |||||||
\(68\) | 2.65775 | − | 1.53445i | 0.322299 | − | 0.186080i | ||||
\(69\) | −3.78720 | −0.455925 | ||||||||
\(70\) | 10.5689 | + | 4.38282i | 1.26322 | + | 0.523847i | ||||
\(71\) | 1.51564 | + | 1.51564i | 0.179873 | + | 0.179873i | 0.791300 | − | 0.611427i | \(-0.209404\pi\) |
−0.611427 | + | 0.791300i | \(0.709404\pi\) | |||||||
\(72\) | −0.965926 | − | 0.258819i | −0.113835 | − | 0.0305021i | ||||
\(73\) | −2.38419 | + | 0.638842i | −0.279048 | + | 0.0747708i | −0.395629 | − | 0.918410i | \(-0.629473\pi\) |
0.116580 | + | 0.993181i | \(0.462807\pi\) | |||||||
\(74\) | −1.94040 | + | 3.36088i | −0.225567 | + | 0.390694i | ||||
\(75\) | 6.85072 | + | 11.8658i | 0.791053 | + | 1.37014i | ||||
\(76\) | 2.51123 | + | 2.51123i | 0.288058 | + | 0.288058i | ||||
\(77\) | 12.3562 | − | 5.11220i | 1.40812 | − | 0.582590i | ||||
\(78\) | −1.27680 | + | 3.37191i | −0.144569 | + | 0.381794i | ||||
\(79\) | 6.16264 | + | 10.6740i | 0.693351 | + | 1.20092i | 0.970734 | + | 0.240159i | \(0.0771996\pi\) |
−0.277383 | + | 0.960759i | \(0.589467\pi\) | |||||||
\(80\) | −1.11927 | − | 4.17716i | −0.125138 | − | 0.467021i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 1.52863 | + | 2.64767i | 0.168809 | + | 0.292386i | ||||
\(83\) | −6.36325 | + | 6.36325i | −0.698457 | + | 0.698457i | −0.964078 | − | 0.265620i | \(-0.914423\pi\) |
0.265620 | + | 0.964078i | \(0.414423\pi\) | |||||||
\(84\) | −2.09967 | + | 1.60978i | −0.229093 | + | 0.175641i | ||||
\(85\) | 9.38439 | − | 9.38439i | 1.01788 | − | 1.01788i | ||||
\(86\) | −8.44615 | − | 2.26314i | −0.910772 | − | 0.244041i | ||||
\(87\) | −4.61012 | − | 2.66166i | −0.494257 | − | 0.285359i | ||||
\(88\) | −4.37701 | − | 2.52707i | −0.466591 | − | 0.269386i | ||||
\(89\) | 1.74994 | − | 6.53086i | 0.185493 | − | 0.692269i | −0.809031 | − | 0.587765i | \(-0.800008\pi\) |
0.994524 | − | 0.104504i | \(-0.0333255\pi\) | |||||||
\(90\) | −4.32452 | −0.455844 | ||||||||
\(91\) | 5.01794 | + | 8.11297i | 0.526023 | + | 0.850470i | ||||
\(92\) | 3.78720 | 0.394843 | ||||||||
\(93\) | 2.08124 | − | 7.76730i | 0.215815 | − | 0.805431i | ||||
\(94\) | −7.74392 | − | 4.47096i | −0.798725 | − | 0.461144i | ||||
\(95\) | 13.3006 | + | 7.67909i | 1.36461 | + | 0.787858i | ||||
\(96\) | 0.965926 | + | 0.258819i | 0.0985844 | + | 0.0264156i | ||||
\(97\) | 9.94940 | − | 9.94940i | 1.01021 | − | 1.01021i | 0.0102613 | − | 0.999947i | \(-0.496734\pi\) |
0.999947 | − | 0.0102613i | \(-0.00326632\pi\) | |||||||
\(98\) | −0.00570888 | + | 7.00000i | −0.000576684 | + | 0.707107i | ||||
\(99\) | −3.57382 | + | 3.57382i | −0.359182 | + | 0.359182i | ||||
\(100\) | −6.85072 | − | 11.8658i | −0.685072 | − | 1.18658i | ||||
\(101\) | −7.16340 | + | 12.4074i | −0.712785 | + | 1.23458i | 0.251023 | + | 0.967981i | \(0.419233\pi\) |
−0.963808 | + | 0.266598i | \(0.914100\pi\) | |||||||
\(102\) | 0.794291 | + | 2.96433i | 0.0786465 | + | 0.293513i | ||||
\(103\) | 2.27100 | + | 3.93349i | 0.223768 | + | 0.387578i | 0.955949 | − | 0.293532i | \(-0.0948307\pi\) |
−0.732181 | + | 0.681110i | \(0.761497\pi\) | |||||||
\(104\) | 1.27680 | − | 3.37191i | 0.125200 | − | 0.330643i | ||||
\(105\) | −6.96890 | + | 9.07439i | −0.680095 | + | 0.885570i | ||||
\(106\) | 0.277471 | + | 0.277471i | 0.0269504 | + | 0.0269504i | ||||
\(107\) | −2.78119 | − | 4.81717i | −0.268868 | − | 0.465693i | 0.699702 | − | 0.714435i | \(-0.253316\pi\) |
−0.968570 | + | 0.248742i | \(0.919983\pi\) | |||||||
\(108\) | 0.500000 | − | 0.866025i | 0.0481125 | − | 0.0833333i | ||||
\(109\) | 2.04723 | − | 0.548553i | 0.196089 | − | 0.0525419i | −0.159438 | − | 0.987208i | \(-0.550968\pi\) |
0.355527 | + | 0.934666i | \(0.384301\pi\) | |||||||
\(110\) | −21.1120 | − | 5.65693i | −2.01295 | − | 0.539367i | ||||
\(111\) | −2.74415 | − | 2.74415i | −0.260463 | − | 0.260463i | ||||
\(112\) | 2.09967 | − | 1.60978i | 0.198400 | − | 0.152109i | ||||
\(113\) | 0.946359 | 0.0890259 | 0.0445130 | − | 0.999009i | \(-0.485826\pi\) | ||||
0.0445130 | + | 0.999009i | \(0.485826\pi\) | |||||||
\(114\) | −3.07562 | + | 1.77571i | −0.288058 | + | 0.166311i | ||||
\(115\) | 15.8197 | − | 4.23889i | 1.47520 | − | 0.395278i | ||||
\(116\) | 4.61012 | + | 2.66166i | 0.428039 | + | 0.247128i | ||||
\(117\) | −2.92656 | − | 2.10601i | −0.270560 | − | 0.194700i | ||||
\(118\) | − | 0.839504i | − | 0.0772826i | ||||||
\(119\) | 7.50023 | + | 3.11028i | 0.687545 | + | 0.285119i | ||||
\(120\) | 4.32452 | 0.394773 | ||||||||
\(121\) | −12.5957 | + | 7.27216i | −1.14507 | + | 0.661105i | ||||
\(122\) | −0.989266 | − | 3.69199i | −0.0895639 | − | 0.334257i | ||||
\(123\) | −2.95309 | + | 0.791277i | −0.266271 | + | 0.0713471i | ||||
\(124\) | −2.08124 | + | 7.76730i | −0.186901 | + | 0.697524i | ||||
\(125\) | −26.6081 | − | 26.6081i | −2.37990 | − | 2.37990i | ||||
\(126\) | −1.01149 | − | 2.44477i | −0.0901105 | − | 0.217797i | ||||
\(127\) | 8.81327i | 0.782051i | 0.920380 | + | 0.391026i | \(0.127880\pi\) | ||||
−0.920380 | + | 0.391026i | \(0.872120\pi\) | |||||||
\(128\) | −0.965926 | − | 0.258819i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | 4.37205 | − | 7.57261i | 0.384937 | − | 0.666731i | ||||
\(130\) | 1.55931 | − | 15.5141i | 0.136761 | − | 1.36068i | ||||
\(131\) | −5.07556 | + | 2.93038i | −0.443454 | + | 0.256028i | −0.705062 | − | 0.709146i | \(-0.749081\pi\) |
0.261608 | + | 0.965174i | \(0.415747\pi\) | |||||||
\(132\) | 3.57382 | − | 3.57382i | 0.311061 | − | 0.311061i | ||||
\(133\) | −1.23025 | + | 9.31529i | −0.106676 | + | 0.807738i | ||||
\(134\) | 6.06635i | 0.524053i | ||||||||
\(135\) | 1.11927 | − | 4.17716i | 0.0963312 | − | 0.359513i | ||||
\(136\) | −0.794291 | − | 2.96433i | −0.0681099 | − | 0.254190i | ||||
\(137\) | −4.94358 | − | 18.4497i | −0.422359 | − | 1.57627i | −0.769624 | − | 0.638498i | \(-0.779556\pi\) |
0.347265 | − | 0.937767i | \(-0.387111\pi\) | |||||||
\(138\) | −0.980199 | + | 3.65815i | −0.0834401 | + | 0.311403i | ||||
\(139\) | − | 7.94250i | − | 0.673674i | −0.941563 | − | 0.336837i | \(-0.890643\pi\) | ||
0.941563 | − | 0.336837i | \(-0.109357\pi\) | |||||||
\(140\) | 6.96890 | − | 9.07439i | 0.588980 | − | 0.766926i | ||||
\(141\) | 6.32289 | − | 6.32289i | 0.532483 | − | 0.532483i | ||||
\(142\) | 1.85627 | − | 1.07172i | 0.155775 | − | 0.0899365i | ||||
\(143\) | −11.5323 | − | 14.1096i | −0.964384 | − | 1.17990i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | 22.2363 | + | 5.95821i | 1.84663 | + | 0.494802i | ||||
\(146\) | 2.46830i | 0.204278i | ||||||||
\(147\) | −6.76000 | − | 1.81725i | −0.557555 | − | 0.149884i | ||||
\(148\) | 2.74415 | + | 2.74415i | 0.225567 | + | 0.225567i | ||||
\(149\) | −2.90466 | + | 10.8404i | −0.237959 | + | 0.888076i | 0.738833 | + | 0.673888i | \(0.235377\pi\) |
−0.976792 | + | 0.214188i | \(0.931290\pi\) | |||||||
\(150\) | 13.2346 | − | 3.54620i | 1.08060 | − | 0.289546i | ||||
\(151\) | 4.65772 | + | 17.3829i | 0.379040 | + | 1.41460i | 0.847351 | + | 0.531033i | \(0.178196\pi\) |
−0.468311 | + | 0.883564i | \(0.655137\pi\) | |||||||
\(152\) | 3.07562 | − | 1.77571i | 0.249466 | − | 0.144029i | ||||
\(153\) | −3.06890 | −0.248106 | ||||||||
\(154\) | −1.73999 | − | 13.2583i | −0.140212 | − | 1.06838i | ||||
\(155\) | 34.7747i | 2.79317i | ||||||||
\(156\) | 2.92656 | + | 2.10601i | 0.234312 | + | 0.168615i | ||||
\(157\) | 5.46279 | + | 3.15395i | 0.435978 | + | 0.251712i | 0.701890 | − | 0.712285i | \(-0.252340\pi\) |
−0.265912 | + | 0.963997i | \(0.585673\pi\) | |||||||
\(158\) | 11.9053 | − | 3.19001i | 0.947135 | − | 0.253784i | ||||
\(159\) | −0.339831 | + | 0.196202i | −0.0269504 | + | 0.0155598i | ||||
\(160\) | −4.32452 | −0.341883 | ||||||||
\(161\) | 6.09654 | + | 7.95188i | 0.480475 | + | 0.626696i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | −6.68755 | − | 1.79192i | −0.523809 | − | 0.140354i | −0.0127812 | − | 0.999918i | \(-0.504068\pi\) |
−0.511028 | + | 0.859564i | \(0.670735\pi\) | |||||||
\(164\) | 2.95309 | − | 0.791277i | 0.230597 | − | 0.0617884i | ||||
\(165\) | 10.9284 | − | 18.9285i | 0.850771 | − | 1.47358i | ||||
\(166\) | 4.49950 | + | 7.79336i | 0.349229 | + | 0.604882i | ||||
\(167\) | 4.14832 | + | 4.14832i | 0.321006 | + | 0.321006i | 0.849153 | − | 0.528147i | \(-0.177113\pi\) |
−0.528147 | + | 0.849153i | \(0.677113\pi\) | |||||||
\(168\) | 1.01149 | + | 2.44477i | 0.0780380 | + | 0.188618i | ||||
\(169\) | 8.61049 | − | 9.73958i | 0.662345 | − | 0.749199i | ||||
\(170\) | −6.63577 | − | 11.4935i | −0.508940 | − | 0.881510i | ||||
\(171\) | −0.919175 | − | 3.43041i | −0.0702911 | − | 0.262330i | ||||
\(172\) | −4.37205 | + | 7.57261i | −0.333366 | + | 0.577406i | ||||
\(173\) | −2.77271 | − | 4.80247i | −0.210805 | − | 0.365125i | 0.741162 | − | 0.671327i | \(-0.234275\pi\) |
−0.951967 | + | 0.306202i | \(0.900942\pi\) | |||||||
\(174\) | −3.76415 | + | 3.76415i | −0.285359 | + | 0.285359i | ||||
\(175\) | 13.8862 | − | 33.4855i | 1.04970 | − | 2.53127i | ||||
\(176\) | −3.57382 | + | 3.57382i | −0.269386 | + | 0.269386i | ||||
\(177\) | 0.810898 | + | 0.217280i | 0.0609509 | + | 0.0163317i | ||||
\(178\) | −5.85541 | − | 3.38062i | −0.438881 | − | 0.253388i | ||||
\(179\) | −12.3602 | − | 7.13614i | −0.923842 | − | 0.533380i | −0.0389831 | − | 0.999240i | \(-0.512412\pi\) |
−0.884859 | + | 0.465860i | \(0.845745\pi\) | |||||||
\(180\) | −1.11927 | + | 4.17716i | −0.0834253 | + | 0.311347i | ||||
\(181\) | −21.8025 | −1.62057 | −0.810284 | − | 0.586037i | \(-0.800687\pi\) | ||||
−0.810284 | + | 0.586037i | \(0.800687\pi\) | |||||||
\(182\) | 9.13527 | − | 2.74717i | 0.677151 | − | 0.203634i | ||||
\(183\) | 3.82223 | 0.282547 | ||||||||
\(184\) | 0.980199 | − | 3.65815i | 0.0722612 | − | 0.269683i | ||||
\(185\) | 14.5342 | + | 8.39131i | 1.06857 | + | 0.616941i | ||||
\(186\) | −6.96397 | − | 4.02065i | −0.510623 | − | 0.294808i | ||||
\(187\) | −14.9822 | − | 4.01446i | −1.09560 | − | 0.293566i | ||||
\(188\) | −6.32289 | + | 6.32289i | −0.461144 | + | 0.461144i | ||||
\(189\) | 2.62326 | − | 0.344270i | 0.190814 | − | 0.0250420i | ||||
\(190\) | 10.8599 | − | 10.8599i | 0.787858 | − | 0.787858i | ||||
\(191\) | −4.59279 | − | 7.95494i | −0.332323 | − | 0.575600i | 0.650644 | − | 0.759383i | \(-0.274499\pi\) |
−0.982967 | + | 0.183783i | \(0.941166\pi\) | |||||||
\(192\) | 0.500000 | − | 0.866025i | 0.0360844 | − | 0.0625000i | ||||
\(193\) | −3.34768 | − | 12.4937i | −0.240971 | − | 0.899318i | −0.975366 | − | 0.220594i | \(-0.929200\pi\) |
0.734394 | − | 0.678723i | \(-0.237466\pi\) | |||||||
\(194\) | −7.03529 | − | 12.1855i | −0.505104 | − | 0.874866i | ||||
\(195\) | 14.5819 | + | 5.52153i | 1.04423 | + | 0.395405i | ||||
\(196\) | 6.76000 | + | 1.81725i | 0.482857 | + | 0.129803i | ||||
\(197\) | −12.6310 | − | 12.6310i | −0.899924 | − | 0.899924i | 0.0955052 | − | 0.995429i | \(-0.469553\pi\) |
−0.995429 | + | 0.0955052i | \(0.969553\pi\) | |||||||
\(198\) | 2.52707 | + | 4.37701i | 0.179591 | + | 0.311061i | ||||
\(199\) | 3.93845 | − | 6.82160i | 0.279190 | − | 0.483571i | −0.691994 | − | 0.721903i | \(-0.743268\pi\) |
0.971184 | + | 0.238333i | \(0.0766008\pi\) | |||||||
\(200\) | −13.2346 | + | 3.54620i | −0.935826 | + | 0.250754i | ||||
\(201\) | −5.85964 | − | 1.57009i | −0.413307 | − | 0.110745i | ||||
\(202\) | 10.1306 | + | 10.1306i | 0.712785 | + | 0.712785i | ||||
\(203\) | 1.83266 | + | 13.9644i | 0.128627 | + | 0.980110i | ||||
\(204\) | 3.06890 | 0.214866 | ||||||||
\(205\) | 11.4499 | − | 6.61059i | 0.799694 | − | 0.461703i | ||||
\(206\) | 4.38724 | − | 1.17556i | 0.305673 | − | 0.0819049i | ||||
\(207\) | −3.27981 | − | 1.89360i | −0.227963 | − | 0.131614i | ||||
\(208\) | −2.92656 | − | 2.10601i | −0.202920 | − | 0.146025i | ||||
\(209\) | − | 17.9494i | − | 1.24158i | ||||||
\(210\) | 6.96150 | + | 9.08007i | 0.480389 | + | 0.626584i | ||||
\(211\) | 25.0075 | 1.72158 | 0.860792 | − | 0.508956i | \(-0.169968\pi\) | ||||
0.860792 | + | 0.508956i | \(0.169968\pi\) | |||||||
\(212\) | 0.339831 | − | 0.196202i | 0.0233397 | − | 0.0134752i | ||||
\(213\) | 0.554762 | + | 2.07040i | 0.0380116 | + | 0.141861i | ||||
\(214\) | −5.37285 | + | 1.43965i | −0.367281 | + | 0.0984126i | ||||
\(215\) | −9.78698 | + | 36.5255i | −0.667467 | + | 2.49102i | ||||
\(216\) | −0.707107 | − | 0.707107i | −0.0481125 | − | 0.0481125i | ||||
\(217\) | −19.6591 | + | 8.13368i | −1.33455 | + | 0.552150i | ||||
\(218\) | − | 2.11945i | − | 0.143547i | ||||||
\(219\) | −2.38419 | − | 0.638842i | −0.161109 | − | 0.0431689i | ||||
\(220\) | −10.9284 | + | 18.9285i | −0.736790 | + | 1.27616i | ||||
\(221\) | 1.10657 | − | 11.0096i | 0.0744360 | − | 0.740587i | ||||
\(222\) | −3.36088 | + | 1.94040i | −0.225567 | + | 0.130231i | ||||
\(223\) | −19.8721 | + | 19.8721i | −1.33074 | + | 1.33074i | −0.426025 | + | 0.904712i | \(0.640086\pi\) |
−0.904712 | + | 0.426025i | \(0.859914\pi\) | |||||||
\(224\) | −1.01149 | − | 2.44477i | −0.0675829 | − | 0.163348i | ||||
\(225\) | 13.7014i | 0.913430i | ||||||||
\(226\) | 0.244936 | − | 0.914112i | 0.0162929 | − | 0.0608058i | ||||
\(227\) | 1.29127 | + | 4.81907i | 0.0857043 | + | 0.319853i | 0.995447 | − | 0.0953205i | \(-0.0303876\pi\) |
−0.909742 | + | 0.415173i | \(0.863721\pi\) | |||||||
\(228\) | 0.919175 | + | 3.43041i | 0.0608739 | + | 0.227184i | ||||
\(229\) | −3.90349 | + | 14.5680i | −0.257950 | + | 0.962682i | 0.708476 | + | 0.705735i | \(0.249383\pi\) |
−0.966426 | + | 0.256947i | \(0.917283\pi\) | |||||||
\(230\) | − | 16.3778i | − | 1.07992i | ||||||
\(231\) | 13.2569 | + | 1.75080i | 0.872239 | + | 0.115194i | ||||
\(232\) | 3.76415 | − | 3.76415i | 0.247128 | − | 0.247128i | ||||
\(233\) | 3.02978 | − | 1.74924i | 0.198487 | − | 0.114597i | −0.397462 | − | 0.917619i | \(-0.630109\pi\) |
0.595950 | + | 0.803022i | \(0.296776\pi\) | |||||||
\(234\) | −2.79169 | + | 2.28176i | −0.182499 | + | 0.149164i | ||||
\(235\) | −19.3347 | + | 33.4887i | −1.26126 | + | 2.18456i | ||||
\(236\) | −0.810898 | − | 0.217280i | −0.0527850 | − | 0.0141437i | ||||
\(237\) | 12.3253i | 0.800612i | ||||||||
\(238\) | 4.94550 | − | 6.43966i | 0.320569 | − | 0.417421i | ||||
\(239\) | −1.92190 | − | 1.92190i | −0.124318 | − | 0.124318i | 0.642211 | − | 0.766528i | \(-0.278017\pi\) |
−0.766528 | + | 0.642211i | \(0.778017\pi\) | |||||||
\(240\) | 1.11927 | − | 4.17716i | 0.0722484 | − | 0.269635i | ||||
\(241\) | −25.6445 | + | 6.87142i | −1.65191 | + | 0.442627i | −0.960146 | − | 0.279499i | \(-0.909832\pi\) |
−0.691761 | + | 0.722126i | \(0.743165\pi\) | |||||||
\(242\) | 3.76435 | + | 14.0487i | 0.241981 | + | 0.903087i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | −3.82223 | −0.244693 | ||||||||
\(245\) | 30.2716 | + | 0.0246882i | 1.93398 | + | 0.00157727i | ||||
\(246\) | 3.05726i | 0.194924i | ||||||||
\(247\) | 12.6379 | − | 2.06060i | 0.804133 | − | 0.131113i | ||||
\(248\) | 6.96397 | + | 4.02065i | 0.442212 | + | 0.255312i | ||||
\(249\) | −8.69236 | + | 2.32911i | −0.550856 | + | 0.147601i | ||||
\(250\) | −32.5882 | + | 18.8148i | −2.06106 | + | 1.18995i | ||||
\(251\) | 20.5164 | 1.29498 | 0.647491 | − | 0.762073i | \(-0.275818\pi\) | ||||
0.647491 | + | 0.762073i | \(0.275818\pi\) | |||||||
\(252\) | −2.62326 | + | 0.344270i | −0.165250 | + | 0.0216870i | ||||
\(253\) | −13.5348 | − | 13.5348i | −0.850922 | − | 0.850922i | ||||
\(254\) | 8.51296 | + | 2.28104i | 0.534151 | + | 0.143125i | ||||
\(255\) | 12.8193 | − | 3.43493i | 0.802777 | − | 0.215103i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 0.846985 | + | 1.46702i | 0.0528335 | + | 0.0915102i | 0.891233 | − | 0.453547i | \(-0.149841\pi\) |
−0.838399 | + | 0.545057i | \(0.816508\pi\) | |||||||
\(258\) | −6.18301 | − | 6.18301i | −0.384937 | − | 0.384937i | ||||
\(259\) | −1.34435 | + | 10.1793i | −0.0835338 | + | 0.632509i | ||||
\(260\) | −14.5819 | − | 5.52153i | −0.904331 | − | 0.342431i | ||||
\(261\) | −2.66166 | − | 4.61012i | −0.164752 | − | 0.285359i | ||||
\(262\) | 1.51687 | + | 5.66105i | 0.0937128 | + | 0.349741i | ||||
\(263\) | 2.89731 | − | 5.01829i | 0.178656 | − | 0.309441i | −0.762765 | − | 0.646676i | \(-0.776159\pi\) |
0.941420 | + | 0.337235i | \(0.109492\pi\) | |||||||
\(264\) | −2.52707 | − | 4.37701i | −0.155530 | − | 0.269386i | ||||
\(265\) | 1.19993 | − | 1.19993i | 0.0737110 | − | 0.0737110i | ||||
\(266\) | 8.67947 | + | 3.59930i | 0.532172 | + | 0.220687i | ||||
\(267\) | 4.78092 | − | 4.78092i | 0.292588 | − | 0.292588i | ||||
\(268\) | 5.85964 | + | 1.57009i | 0.357935 | + | 0.0959083i | ||||
\(269\) | −1.51888 | − | 0.876924i | −0.0926076 | − | 0.0534670i | 0.452981 | − | 0.891520i | \(-0.350361\pi\) |
−0.545589 | + | 0.838053i | \(0.683694\pi\) | |||||||
\(270\) | −3.74514 | − | 2.16226i | −0.227922 | − | 0.131591i | ||||
\(271\) | −0.220922 | + | 0.824491i | −0.0134200 | + | 0.0500842i | −0.972311 | − | 0.233690i | \(-0.924920\pi\) |
0.958891 | + | 0.283774i | \(0.0915866\pi\) | |||||||
\(272\) | −3.06890 | −0.186080 | ||||||||
\(273\) | 0.289180 | + | 9.53501i | 0.0175020 | + | 0.577085i | ||||
\(274\) | −19.1005 | −1.15391 | ||||||||
\(275\) | −17.9230 | + | 66.8894i | −1.08080 | + | 4.03358i | ||||
\(276\) | 3.27981 | + | 1.89360i | 0.197421 | + | 0.113981i | ||||
\(277\) | 24.2821 | + | 14.0193i | 1.45897 | + | 0.842338i | 0.998961 | − | 0.0455757i | \(-0.0145122\pi\) |
0.460011 | + | 0.887913i | \(0.347846\pi\) | |||||||
\(278\) | −7.67186 | − | 2.05567i | −0.460128 | − | 0.123291i | ||||
\(279\) | 5.68606 | − | 5.68606i | 0.340415 | − | 0.340415i | ||||
\(280\) | −6.96150 | − | 9.08007i | −0.416029 | − | 0.542638i | ||||
\(281\) | 16.0574 | − | 16.0574i | 0.957904 | − | 0.957904i | −0.0412451 | − | 0.999149i | \(-0.513132\pi\) |
0.999149 | + | 0.0412451i | \(0.0131325\pi\) | |||||||
\(282\) | −4.47096 | − | 7.74392i | −0.266242 | − | 0.461144i | ||||
\(283\) | −9.51588 | + | 16.4820i | −0.565661 | + | 0.979753i | 0.431327 | + | 0.902196i | \(0.358045\pi\) |
−0.996988 | + | 0.0775574i | \(0.975288\pi\) | |||||||
\(284\) | −0.554762 | − | 2.07040i | −0.0329190 | − | 0.122856i | ||||
\(285\) | 7.67909 | + | 13.3006i | 0.454870 | + | 0.787858i | ||||
\(286\) | −16.6136 | + | 7.48756i | −0.982384 | + | 0.442749i | ||||
\(287\) | 6.41523 | + | 4.92674i | 0.378679 | + | 0.290816i | ||||
\(288\) | 0.707107 | + | 0.707107i | 0.0416667 | + | 0.0416667i | ||||
\(289\) | 3.79091 | + | 6.56605i | 0.222995 | + | 0.386238i | ||||
\(290\) | 11.5104 | − | 19.9366i | 0.675912 | − | 1.17071i | ||||
\(291\) | 13.5911 | − | 3.64173i | 0.796726 | − | 0.213482i | ||||
\(292\) | 2.38419 | + | 0.638842i | 0.139524 | + | 0.0373854i | ||||
\(293\) | −5.11821 | − | 5.11821i | −0.299009 | − | 0.299009i | 0.541617 | − | 0.840626i | \(-0.317813\pi\) |
−0.840626 | + | 0.541617i | \(0.817813\pi\) | |||||||
\(294\) | −3.50494 | + | 6.05932i | −0.204412 | + | 0.353387i | ||||
\(295\) | −3.63045 | −0.211373 | ||||||||
\(296\) | 3.36088 | − | 1.94040i | 0.195347 | − | 0.112784i | ||||
\(297\) | −4.88192 | + | 1.30811i | −0.283278 | + | 0.0759041i | ||||
\(298\) | 9.71919 | + | 5.61138i | 0.563018 | + | 0.325059i | ||||
\(299\) | 7.97586 | − | 11.0835i | 0.461256 | − | 0.640973i | ||||
\(300\) | − | 13.7014i | − | 0.791053i | ||||||
\(301\) | −22.9380 | + | 3.01033i | −1.32213 | + | 0.173513i | ||||
\(302\) | 17.9961 | 1.03556 | ||||||||
\(303\) | −12.4074 | + | 7.16340i | −0.712785 | + | 0.411526i | ||||
\(304\) | −0.919175 | − | 3.43041i | −0.0527183 | − | 0.196747i | ||||
\(305\) | −15.9661 | + | 4.27810i | −0.914215 | + | 0.244963i | ||||
\(306\) | −0.794291 | + | 2.96433i | −0.0454066 | + | 0.169460i | ||||
\(307\) | 20.9825 | + | 20.9825i | 1.19753 | + | 1.19753i | 0.974902 | + | 0.222632i | \(0.0714649\pi\) |
0.222632 | + | 0.974902i | \(0.428535\pi\) | |||||||
\(308\) | −13.2569 | − | 1.75080i | −0.755381 | − | 0.0997612i | ||||
\(309\) | 4.54200i | 0.258386i | ||||||||
\(310\) | 33.5898 | + | 9.00036i | 1.90777 | + | 0.511186i | ||||
\(311\) | −7.61836 | + | 13.1954i | −0.431997 | + | 0.748242i | −0.997045 | − | 0.0768167i | \(-0.975524\pi\) |
0.565048 | + | 0.825058i | \(0.308858\pi\) | |||||||
\(312\) | 2.79169 | − | 2.28176i | 0.158049 | − | 0.129179i | ||||
\(313\) | 17.7961 | − | 10.2746i | 1.00590 | − | 0.580754i | 0.0959082 | − | 0.995390i | \(-0.469424\pi\) |
0.909987 | + | 0.414636i | \(0.136091\pi\) | |||||||
\(314\) | 4.46035 | − | 4.46035i | 0.251712 | − | 0.251712i | ||||
\(315\) | −10.5724 | + | 4.37420i | −0.595690 | + | 0.246458i | ||||
\(316\) | − | 12.3253i | − | 0.693351i | ||||||
\(317\) | 1.26668 | − | 4.72731i | 0.0711437 | − | 0.265512i | −0.921188 | − | 0.389119i | \(-0.872780\pi\) |
0.992331 | + | 0.123607i | \(0.0394462\pi\) | |||||||
\(318\) | 0.101561 | + | 0.379032i | 0.00569528 | + | 0.0212551i | ||||
\(319\) | −6.96346 | − | 25.9880i | −0.389879 | − | 1.45505i | ||||
\(320\) | −1.11927 | + | 4.17716i | −0.0625689 | + | 0.233510i | ||||
\(321\) | − | 5.56239i | − | 0.310462i | ||||||
\(322\) | 9.25882 | − | 3.83071i | 0.515974 | − | 0.213477i | ||||
\(323\) | 7.70674 | − | 7.70674i | 0.428814 | − | 0.428814i | ||||
\(324\) | 0.866025 | − | 0.500000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | −49.1536 | − | 4.94040i | −2.72655 | − | 0.274044i | ||||
\(326\) | −3.46173 | + | 5.99589i | −0.191727 | + | 0.332082i | ||||
\(327\) | 2.04723 | + | 0.548553i | 0.113212 | + | 0.0303351i | ||||
\(328\) | − | 3.05726i | − | 0.168809i | ||||||
\(329\) | −23.4544 | − | 3.09756i | −1.29308 | − | 0.170774i | ||||
\(330\) | −15.4550 | − | 15.4550i | −0.850771 | − | 0.850771i | ||||
\(331\) | −0.629186 | + | 2.34816i | −0.0345832 | + | 0.129066i | −0.981059 | − | 0.193708i | \(-0.937949\pi\) |
0.946476 | + | 0.322774i | \(0.104615\pi\) | |||||||
\(332\) | 8.69236 | − | 2.32911i | 0.477055 | − | 0.127827i | ||||
\(333\) | −1.00443 | − | 3.74857i | −0.0550423 | − | 0.205421i | ||||
\(334\) | 5.08063 | − | 2.93330i | 0.278000 | − | 0.160503i | ||||
\(335\) | 26.2340 | 1.43332 | ||||||||
\(336\) | 2.62326 | − | 0.344270i | 0.143110 | − | 0.0187815i | ||||
\(337\) | − | 34.8264i | − | 1.89712i | −0.316603 | − | 0.948558i | \(-0.602542\pi\) | ||
0.316603 | − | 0.948558i | \(-0.397458\pi\) | |||||||
\(338\) | −7.17916 | − | 10.8379i | −0.390495 | − | 0.589503i | ||||
\(339\) | 0.819571 | + | 0.473179i | 0.0445130 | + | 0.0256996i | ||||
\(340\) | −12.8193 | + | 3.43493i | −0.695225 | + | 0.186285i | ||||
\(341\) | 35.1969 | − | 20.3209i | 1.90602 | − | 1.10044i | ||||
\(342\) | −3.55142 | −0.192039 | ||||||||
\(343\) | 7.06646 | + | 17.1191i | 0.381553 | + | 0.924347i | ||||
\(344\) | 6.18301 | + | 6.18301i | 0.333366 | + | 0.333366i | ||||
\(345\) | 15.8197 | + | 4.23889i | 0.851706 | + | 0.228214i | ||||
\(346\) | −5.35646 | + | 1.43526i | −0.287965 | + | 0.0771600i | ||||
\(347\) | −9.22831 | + | 15.9839i | −0.495401 | + | 0.858061i | −0.999986 | − | 0.00530181i | \(-0.998312\pi\) |
0.504584 | + | 0.863362i | \(0.331646\pi\) | |||||||
\(348\) | 2.66166 | + | 4.61012i | 0.142680 | + | 0.247128i | ||||
\(349\) | 15.7836 | + | 15.7836i | 0.844877 | + | 0.844877i | 0.989489 | − | 0.144611i | \(-0.0461932\pi\) |
−0.144611 | + | 0.989489i | \(0.546193\pi\) | |||||||
\(350\) | −28.7506 | − | 22.0797i | −1.53678 | − | 1.18021i | ||||
\(351\) | −1.48147 | − | 3.28713i | −0.0790751 | − | 0.175454i | ||||
\(352\) | 2.52707 | + | 4.37701i | 0.134693 | + | 0.233296i | ||||
\(353\) | 7.35880 | + | 27.4634i | 0.391669 | + | 1.46173i | 0.827380 | + | 0.561643i | \(0.189831\pi\) |
−0.435710 | + | 0.900087i | \(0.643503\pi\) | |||||||
\(354\) | 0.419752 | − | 0.727032i | 0.0223096 | − | 0.0386413i | ||||
\(355\) | −4.63466 | − | 8.02746i | −0.245982 | − | 0.426054i | ||||
\(356\) | −4.78092 | + | 4.78092i | −0.253388 | + | 0.253388i | ||||
\(357\) | 4.94025 | + | 6.44369i | 0.261466 | + | 0.341036i | ||||
\(358\) | −10.0920 | + | 10.0920i | −0.533380 | + | 0.533380i | ||||
\(359\) | 4.44850 | + | 1.19197i | 0.234783 | + | 0.0629099i | 0.374292 | − | 0.927311i | \(-0.377886\pi\) |
−0.139509 | + | 0.990221i | \(0.544552\pi\) | |||||||
\(360\) | 3.74514 | + | 2.16226i | 0.197386 | + | 0.113961i | ||||
\(361\) | −5.53166 | − | 3.19371i | −0.291140 | − | 0.168090i | ||||
\(362\) | −5.64291 | + | 21.0596i | −0.296585 | + | 1.10687i | ||||
\(363\) | −14.5443 | −0.763379 | ||||||||
\(364\) | −0.289180 | − | 9.53501i | −0.0151571 | − | 0.499770i | ||||
\(365\) | 10.6742 | 0.558713 | ||||||||
\(366\) | 0.989266 | − | 3.69199i | 0.0517097 | − | 0.192983i | ||||
\(367\) | −16.5388 | − | 9.54868i | −0.863318 | − | 0.498437i | 0.00180371 | − | 0.999998i | \(-0.499426\pi\) |
−0.865122 | + | 0.501561i | \(0.832759\pi\) | |||||||
\(368\) | −3.27981 | − | 1.89360i | −0.170972 | − | 0.0987107i | ||||
\(369\) | −2.95309 | − | 0.791277i | −0.153732 | − | 0.0411922i | ||||
\(370\) | 11.8671 | − | 11.8671i | 0.616941 | − | 0.616941i | ||||
\(371\) | 0.959010 | + | 0.397693i | 0.0497893 | + | 0.0206472i | ||||
\(372\) | −5.68606 | + | 5.68606i | −0.294808 | + | 0.294808i | ||||
\(373\) | 0.714755 | + | 1.23799i | 0.0370086 | + | 0.0641008i | 0.883936 | − | 0.467607i | \(-0.154884\pi\) |
−0.846928 | + | 0.531708i | \(0.821550\pi\) | |||||||
\(374\) | −7.75534 | + | 13.4326i | −0.401019 | + | 0.694585i | ||||
\(375\) | −9.73925 | − | 36.3474i | −0.502933 | − | 1.87697i | ||||
\(376\) | 4.47096 | + | 7.74392i | 0.230572 | + | 0.399362i | ||||
\(377\) | 17.4984 | − | 7.88633i | 0.901215 | − | 0.406167i | ||||
\(378\) | 0.346409 | − | 2.62298i | 0.0178174 | − | 0.134911i | ||||
\(379\) | 15.4767 | + | 15.4767i | 0.794986 | + | 0.794986i | 0.982300 | − | 0.187314i | \(-0.0599782\pi\) |
−0.187314 | + | 0.982300i | \(0.559978\pi\) | |||||||
\(380\) | −7.67909 | − | 13.3006i | −0.393929 | − | 0.682305i | ||||
\(381\) | −4.40663 | + | 7.63251i | −0.225759 | + | 0.391026i | ||||
\(382\) | −8.87259 | + | 2.37740i | −0.453961 | + | 0.121638i | ||||
\(383\) | 8.38668 | + | 2.24720i | 0.428539 | + | 0.114827i | 0.466640 | − | 0.884447i | \(-0.345464\pi\) |
−0.0381012 | + | 0.999274i | \(0.512131\pi\) | |||||||
\(384\) | −0.707107 | − | 0.707107i | −0.0360844 | − | 0.0360844i | ||||
\(385\) | −57.3358 | + | 7.52461i | −2.92210 | + | 0.383490i | ||||
\(386\) | −12.9345 | −0.658346 | ||||||||
\(387\) | 7.57261 | − | 4.37205i | 0.384937 | − | 0.222244i | ||||
\(388\) | −13.5911 | + | 3.64173i | −0.689985 | + | 0.184881i | ||||
\(389\) | 23.5167 | + | 13.5774i | 1.19235 | + | 0.688401i | 0.958838 | − | 0.283954i | \(-0.0916464\pi\) |
0.233507 | + | 0.972355i | \(0.424980\pi\) | |||||||
\(390\) | 9.10746 | − | 12.6559i | 0.461174 | − | 0.640859i | ||||
\(391\) | − | 11.6226i | − | 0.587778i | ||||||
\(392\) | 3.50494 | − | 6.05932i | 0.177026 | − | 0.306042i | ||||
\(393\) | −5.86075 | −0.295636 | ||||||||
\(394\) | −15.4698 | + | 8.93149i | −0.779357 | + | 0.449962i | ||||
\(395\) | −13.7953 | − | 51.4847i | −0.694116 | − | 2.59047i | ||||
\(396\) | 4.88192 | − | 1.30811i | 0.245326 | − | 0.0657349i | ||||
\(397\) | −0.500084 | + | 1.86634i | −0.0250985 | + | 0.0936688i | −0.977339 | − | 0.211680i | \(-0.932106\pi\) |
0.952240 | + | 0.305349i | \(0.0987731\pi\) | |||||||
\(398\) | −5.56982 | − | 5.56982i | −0.279190 | − | 0.279190i | ||||
\(399\) | −5.72307 | + | 7.45215i | −0.286512 | + | 0.373074i | ||||
\(400\) | 13.7014i | 0.685072i | ||||||||
\(401\) | 2.17838 | + | 0.583696i | 0.108783 | + | 0.0291484i | 0.312800 | − | 0.949819i | \(-0.398733\pi\) |
−0.204017 | + | 0.978967i | \(0.565400\pi\) | |||||||
\(402\) | −3.03317 | + | 5.25361i | −0.151281 | + | 0.262026i | ||||
\(403\) | 18.3483 | + | 22.4488i | 0.913996 | + | 1.11826i | ||||
\(404\) | 12.4074 | − | 7.16340i | 0.617290 | − | 0.356392i | ||||
\(405\) | 3.05790 | − | 3.05790i | 0.151948 | − | 0.151948i | ||||
\(406\) | 13.9629 | + | 1.84405i | 0.692968 | + | 0.0915184i | ||||
\(407\) | − | 19.6141i | − | 0.972237i | ||||||
\(408\) | 0.794291 | − | 2.96433i | 0.0393233 | − | 0.146756i | ||||
\(409\) | 0.401283 | + | 1.49761i | 0.0198422 | + | 0.0740520i | 0.975137 | − | 0.221603i | \(-0.0711288\pi\) |
−0.955295 | + | 0.295655i | \(0.904462\pi\) | |||||||
\(410\) | −3.42189 | − | 12.7707i | −0.168995 | − | 0.630699i | ||||
\(411\) | 4.94358 | − | 18.4497i | 0.243849 | − | 0.910057i | ||||
\(412\) | − | 4.54200i | − | 0.223768i | ||||||
\(413\) | −0.849148 | − | 2.05239i | −0.0417839 | − | 0.100992i | ||||
\(414\) | −2.67795 | + | 2.67795i | −0.131614 | + | 0.131614i | ||||
\(415\) | 33.7025 | − | 19.4582i | 1.65439 | − | 0.955163i | ||||
\(416\) | −2.79169 | + | 2.28176i | −0.136874 | + | 0.111873i | ||||
\(417\) | 3.97125 | − | 6.87840i | 0.194473 | − | 0.336837i | ||||
\(418\) | −17.3378 | − | 4.64564i | −0.848018 | − | 0.227226i | ||||
\(419\) | 30.2063i | 1.47567i | 0.674979 | + | 0.737837i | \(0.264153\pi\) | ||||
−0.674979 | + | 0.737837i | \(0.735847\pi\) | |||||||
\(420\) | 10.5724 | − | 4.37420i | 0.515882 | − | 0.213439i | ||||
\(421\) | −14.4147 | − | 14.4147i | −0.702531 | − | 0.702531i | 0.262423 | − | 0.964953i | \(-0.415479\pi\) |
−0.964953 | + | 0.262423i | \(0.915479\pi\) | |||||||
\(422\) | 6.47241 | − | 24.1554i | 0.315072 | − | 1.17586i | ||||
\(423\) | 8.63722 | − | 2.31434i | 0.419956 | − | 0.112527i | ||||
\(424\) | −0.101561 | − | 0.379032i | −0.00493226 | − | 0.0184074i | ||||
\(425\) | −36.4150 | + | 21.0242i | −1.76639 | + | 1.01982i | ||||
\(426\) | 2.14343 | 0.103850 | ||||||||
\(427\) | −6.15293 | − | 8.02543i | −0.297761 | − | 0.388378i | ||||
\(428\) | 5.56239i | 0.268868i | ||||||||
\(429\) | −2.93250 | − | 17.9855i | −0.141583 | − | 0.868346i | ||||
\(430\) | 32.7479 | + | 18.9070i | 1.57924 | + | 0.911776i | ||||
\(431\) | 21.4988 | − | 5.76058i | 1.03556 | − | 0.277478i | 0.299288 | − | 0.954163i | \(-0.403251\pi\) |
0.736272 | + | 0.676685i | \(0.236584\pi\) | |||||||
\(432\) | −0.866025 | + | 0.500000i | −0.0416667 | + | 0.0240563i | ||||
\(433\) | −21.4850 | −1.03251 | −0.516253 | − | 0.856436i | \(-0.672673\pi\) | ||||
−0.516253 | + | 0.856436i | \(0.672673\pi\) | |||||||
\(434\) | 2.76838 | + | 21.0944i | 0.132886 | + | 1.01256i | ||||
\(435\) | 16.2781 | + | 16.2781i | 0.780476 | + | 0.780476i | ||||
\(436\) | −2.04723 | − | 0.548553i | −0.0980445 | − | 0.0262709i | ||||
\(437\) | 12.9916 | − | 3.48110i | 0.621474 | − | 0.166524i | ||||
\(438\) | −1.23415 | + | 2.13761i | −0.0589699 | + | 0.102139i | ||||
\(439\) | −9.71370 | − | 16.8246i | −0.463610 | − | 0.802995i | 0.535528 | − | 0.844517i | \(-0.320113\pi\) |
−0.999138 | + | 0.0415221i | \(0.986779\pi\) | |||||||
\(440\) | 15.4550 | + | 15.4550i | 0.736790 | + | 0.736790i | ||||
\(441\) | −4.94571 | − | 4.95378i | −0.235510 | − | 0.235894i | ||||
\(442\) | −10.3481 | − | 3.91837i | −0.492208 | − | 0.186378i | ||||
\(443\) | −16.0878 | − | 27.8649i | −0.764356 | − | 1.32390i | −0.940586 | − | 0.339555i | \(-0.889724\pi\) |
0.176230 | − | 0.984349i | \(-0.443610\pi\) | |||||||
\(444\) | 1.00443 | + | 3.74857i | 0.0476680 | + | 0.177899i | ||||
\(445\) | −14.6196 | + | 25.3218i | −0.693033 | + | 1.20037i | ||||
\(446\) | 14.0517 | + | 24.3383i | 0.665368 | + | 1.15245i | ||||
\(447\) | −7.93569 | + | 7.93569i | −0.375345 | + | 0.375345i | ||||
\(448\) | −2.62326 | + | 0.344270i | −0.123937 | + | 0.0162652i | ||||
\(449\) | −20.8928 | + | 20.8928i | −0.985993 | + | 0.985993i | −0.999903 | − | 0.0139102i | \(-0.995572\pi\) |
0.0139102 | + | 0.999903i | \(0.495572\pi\) | |||||||
\(450\) | 13.2346 | + | 3.54620i | 0.623884 | + | 0.167169i | ||||
\(451\) | −13.3817 | − | 7.72591i | −0.630118 | − | 0.363799i | ||||
\(452\) | −0.819571 | − | 0.473179i | −0.0385494 | − | 0.0222565i | ||||
\(453\) | −4.65772 | + | 17.3829i | −0.218839 | + | 0.816718i | ||||
\(454\) | 4.98907 | 0.234149 | ||||||||
\(455\) | −11.8802 | − | 39.5056i | −0.556951 | − | 1.85205i | ||||
\(456\) | 3.55142 | 0.166311 | ||||||||
\(457\) | 6.78023 | − | 25.3042i | 0.317166 | − | 1.18368i | −0.604790 | − | 0.796385i | \(-0.706743\pi\) |
0.921956 | − | 0.387294i | \(-0.126590\pi\) | |||||||
\(458\) | 13.0613 | + | 7.54096i | 0.610316 | + | 0.352366i | ||||
\(459\) | −2.65775 | − | 1.53445i | −0.124053 | − | 0.0716221i | ||||
\(460\) | −15.8197 | − | 4.23889i | −0.737599 | − | 0.197639i | ||||
\(461\) | 8.48338 | − | 8.48338i | 0.395110 | − | 0.395110i | −0.481394 | − | 0.876504i | \(-0.659869\pi\) |
0.876504 | + | 0.481394i | \(0.159869\pi\) | |||||||
\(462\) | 5.12228 | − | 12.3520i | 0.238310 | − | 0.574668i | ||||
\(463\) | −6.85359 | + | 6.85359i | −0.318513 | + | 0.318513i | −0.848196 | − | 0.529683i | \(-0.822311\pi\) |
0.529683 | + | 0.848196i | \(0.322311\pi\) | |||||||
\(464\) | −2.66166 | − | 4.61012i | −0.123564 | − | 0.214020i | ||||
\(465\) | −17.3874 | + | 30.1158i | −0.806320 | + | 1.39659i | ||||
\(466\) | −0.905475 | − | 3.37928i | −0.0419453 | − | 0.156542i | ||||
\(467\) | −4.02663 | − | 6.97432i | −0.186330 | − | 0.322733i | 0.757694 | − | 0.652610i | \(-0.226326\pi\) |
−0.944024 | + | 0.329877i | \(0.892993\pi\) | |||||||
\(468\) | 1.48147 | + | 3.28713i | 0.0684810 | + | 0.151948i | ||||
\(469\) | 6.13604 | + | 14.8308i | 0.283336 | + | 0.684823i | ||||
\(470\) | 27.3434 | + | 27.3434i | 1.26126 | + | 1.26126i | ||||
\(471\) | 3.15395 | + | 5.46279i | 0.145326 | + | 0.251712i | ||||
\(472\) | −0.419752 | + | 0.727032i | −0.0193206 | + | 0.0334643i | ||||
\(473\) | 42.6880 | − | 11.4382i | 1.96280 | − | 0.525930i | ||||
\(474\) | 11.9053 | + | 3.19001i | 0.546828 | + | 0.146522i | ||||
\(475\) | −34.4075 | − | 34.4075i | −1.57873 | − | 1.57873i | ||||
\(476\) | −4.94025 | − | 6.44369i | −0.226436 | − | 0.295346i | ||||
\(477\) | −0.392403 | −0.0179669 | ||||||||
\(478\) | −2.35384 | + | 1.35899i | −0.107662 | + | 0.0621588i | ||||
\(479\) | −38.4032 | + | 10.2901i | −1.75469 | + | 0.470168i | −0.985617 | − | 0.168995i | \(-0.945948\pi\) |
−0.769072 | + | 0.639162i | \(0.779281\pi\) | |||||||
\(480\) | −3.74514 | − | 2.16226i | −0.170942 | − | 0.0986931i | ||||
\(481\) | 13.8101 | − | 2.25172i | 0.629686 | − | 0.102669i | ||||
\(482\) | 26.5491i | 1.20928i | ||||||||
\(483\) | 1.30382 | + | 9.93480i | 0.0593258 | + | 0.452049i | ||||
\(484\) | 14.5443 | 0.661105 | ||||||||
\(485\) | −52.6963 | + | 30.4242i | −2.39282 | + | 1.38149i | ||||
\(486\) | 0.258819 | + | 0.965926i | 0.0117403 | + | 0.0438153i | ||||
\(487\) | −16.6988 | + | 4.47444i | −0.756697 | + | 0.202756i | −0.616487 | − | 0.787365i | \(-0.711445\pi\) |
−0.140210 | + | 0.990122i | \(0.544778\pi\) | |||||||
\(488\) | −0.989266 | + | 3.69199i | −0.0447820 | + | 0.167129i | ||||
\(489\) | −4.89563 | − | 4.89563i | −0.221388 | − | 0.221388i | ||||
\(490\) | 7.85872 | − | 29.2337i | 0.355021 | − | 1.32065i | ||||
\(491\) | 17.0033i | 0.767349i | 0.923468 | + | 0.383675i | \(0.125342\pi\) | ||||
−0.923468 | + | 0.383675i | \(0.874658\pi\) | |||||||
\(492\) | 2.95309 | + | 0.791277i | 0.133135 | + | 0.0356735i | ||||
\(493\) | 8.16837 | − | 14.1480i | 0.367885 | − | 0.637195i | ||||
\(494\) | 1.28055 | − | 12.7406i | 0.0576148 | − | 0.573228i | ||||
\(495\) | 18.9285 | − | 10.9284i | 0.850771 | − | 0.491193i | ||||
\(496\) | 5.68606 | − | 5.68606i | 0.255312 | − | 0.255312i | ||||
\(497\) | 3.45412 | − | 4.49769i | 0.154938 | − | 0.201749i | ||||
\(498\) | 8.99899i | 0.403255i | ||||||||
\(499\) | 0.616787 | − | 2.30188i | 0.0276112 | − | 0.103046i | −0.950745 | − | 0.309974i | \(-0.899680\pi\) |
0.978356 | + | 0.206927i | \(0.0663464\pi\) | |||||||
\(500\) | 9.73925 | + | 36.3474i | 0.435552 | + | 1.62550i | ||||
\(501\) | 1.51839 | + | 5.66671i | 0.0678366 | + | 0.253170i | ||||
\(502\) | 5.31003 | − | 19.8173i | 0.236998 | − | 0.884489i | ||||
\(503\) | − | 18.3368i | − | 0.817597i | −0.912625 | − | 0.408798i | \(-0.865948\pi\) | ||
0.912625 | − | 0.408798i | \(-0.134052\pi\) | |||||||
\(504\) | −0.346409 | + | 2.62298i | −0.0154303 | + | 0.116837i | ||||
\(505\) | 43.8098 | − | 43.8098i | 1.94951 | − | 1.94951i | ||||
\(506\) | −16.5766 | + | 9.57051i | −0.736920 | + | 0.425461i | ||||
\(507\) | 12.3267 | − | 4.12948i | 0.547448 | − | 0.183397i | ||||
\(508\) | 4.40663 | − | 7.63251i | 0.195513 | − | 0.338638i | ||||
\(509\) | 3.72497 | + | 0.998103i | 0.165106 | + | 0.0442401i | 0.340425 | − | 0.940272i | \(-0.389429\pi\) |
−0.175319 | + | 0.984512i | \(0.556096\pi\) | |||||||
\(510\) | − | 13.2715i | − | 0.587673i | ||||||
\(511\) | 2.49665 | + | 6.03441i | 0.110445 | + | 0.266947i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0.919175 | − | 3.43041i | 0.0405826 | − | 0.151456i | ||||
\(514\) | 1.63625 | − | 0.438432i | 0.0721719 | − | 0.0193384i | ||||
\(515\) | −5.08372 | − | 18.9727i | −0.224015 | − | 0.836036i | ||||
\(516\) | −7.57261 | + | 4.37205i | −0.333366 | + | 0.192469i | ||||
\(517\) | 45.1937 | 1.98761 | ||||||||
\(518\) | 9.48447 | + | 3.93313i | 0.416724 | + | 0.172812i | ||||
\(519\) | − | 5.54541i | − | 0.243417i | ||||||
\(520\) | −9.10746 | + | 12.6559i | −0.399388 | + | 0.555000i | ||||
\(521\) | −0.194810 | − | 0.112474i | −0.00853478 | − | 0.00492756i | 0.495727 | − | 0.868479i | \(-0.334902\pi\) |
−0.504261 | + | 0.863551i | \(0.668235\pi\) | |||||||
\(522\) | −5.14192 | + | 1.37777i | −0.225056 | + | 0.0603035i | ||||
\(523\) | 23.1348 | − | 13.3569i | 1.01161 | − | 0.584056i | 0.0999505 | − | 0.994992i | \(-0.468132\pi\) |
0.911664 | + | 0.410937i | \(0.134798\pi\) | |||||||
\(524\) | 5.86075 | 0.256028 | ||||||||
\(525\) | 28.7685 | − | 22.0563i | 1.25556 | − | 0.962614i | ||||
\(526\) | −4.09741 | − | 4.09741i | −0.178656 | − | 0.178656i | ||||
\(527\) | 23.8371 | + | 6.38713i | 1.03836 | + | 0.278228i | ||||
\(528\) | −4.88192 | + | 1.30811i | −0.212458 | + | 0.0569281i | ||||
\(529\) | −4.32856 | + | 7.49729i | −0.188198 | + | 0.325969i | ||||
\(530\) | −0.848477 | − | 1.46960i | −0.0368555 | − | 0.0638356i | ||||
\(531\) | 0.593619 | + | 0.593619i | 0.0257609 | + | 0.0257609i | ||||
\(532\) | 5.72307 | − | 7.45215i | 0.248126 | − | 0.323092i | ||||
\(533\) | 3.90350 | − | 10.3088i | 0.169079 | − | 0.446524i | ||||
\(534\) | −3.38062 | − | 5.85541i | −0.146294 | − | 0.253388i | ||||
\(535\) | 6.22580 | + | 23.2350i | 0.269165 | + | 1.00454i | ||||
\(536\) | 3.03317 | − | 5.25361i | 0.131013 | − | 0.226921i | ||||
\(537\) | −7.13614 | − | 12.3602i | −0.307947 | − | 0.533380i | ||||
\(538\) | −1.24016 | + | 1.24016i | −0.0534670 | + | 0.0534670i | ||||
\(539\) | −17.6645 | − | 30.6535i | −0.760864 | − | 1.32034i | ||||
\(540\) | −3.05790 | + | 3.05790i | −0.131591 | + | 0.131591i | ||||
\(541\) | −11.4098 | − | 3.05726i | −0.490547 | − | 0.131442i | 0.00506241 | − | 0.999987i | \(-0.498389\pi\) |
−0.495609 | + | 0.868546i | \(0.665055\pi\) | |||||||
\(542\) | 0.739218 | + | 0.426788i | 0.0317521 | + | 0.0183321i | ||||
\(543\) | −18.8815 | − | 10.9013i | −0.810284 | − | 0.467818i | ||||
\(544\) | −0.794291 | + | 2.96433i | −0.0340549 | + | 0.127095i | ||||
\(545\) | −9.16559 | −0.392611 | ||||||||
\(546\) | 9.28496 | + | 2.18852i | 0.397359 | + | 0.0936598i | ||||
\(547\) | 5.62368 | 0.240451 | 0.120226 | − | 0.992747i | \(-0.461638\pi\) | ||||
0.120226 | + | 0.992747i | \(0.461638\pi\) | |||||||
\(548\) | −4.94358 | + | 18.4497i | −0.211179 | + | 0.788133i | ||||
\(549\) | 3.31015 | + | 1.91111i | 0.141274 | + | 0.0815644i | ||||
\(550\) | 59.9714 | + | 34.6245i | 2.55719 | + | 1.47639i | ||||
\(551\) | 18.2611 | + | 4.89306i | 0.777950 | + | 0.208451i | ||||
\(552\) | 2.67795 | − | 2.67795i | 0.113981 | − | 0.113981i | ||||
\(553\) | 25.8790 | − | 19.8409i | 1.10049 | − | 0.843722i | ||||
\(554\) | 19.8263 | − | 19.8263i | 0.842338 | − | 0.842338i | ||||
\(555\) | 8.39131 | + | 14.5342i | 0.356191 | + | 0.616941i | ||||
\(556\) | −3.97125 | + | 6.87840i | −0.168418 | + | 0.291709i | ||||
\(557\) | −0.417785 | − | 1.55919i | −0.0177021 | − | 0.0660652i | 0.956510 | − | 0.291700i | \(-0.0942210\pi\) |
−0.974212 | + | 0.225635i | \(0.927554\pi\) | |||||||
\(558\) | −4.02065 | − | 6.96397i | −0.170208 | − | 0.294808i | ||||
\(559\) | 12.9541 | + | 28.7430i | 0.547901 | + | 1.21570i | ||||
\(560\) | −10.5724 | + | 4.37420i | −0.446767 | + | 0.184844i | ||||
\(561\) | −10.9677 | − | 10.9677i | −0.463057 | − | 0.463057i | ||||
\(562\) | −11.3543 | − | 19.6662i | −0.478952 | − | 0.829569i | ||||
\(563\) | 17.2369 | − | 29.8552i | 0.726449 | − | 1.25825i | −0.231925 | − | 0.972734i | \(-0.574502\pi\) |
0.958375 | − | 0.285514i | \(-0.0921642\pi\) | |||||||
\(564\) | −8.63722 | + | 2.31434i | −0.363693 | + | 0.0974512i | ||||
\(565\) | −3.95309 | − | 1.05923i | −0.166308 | − | 0.0445621i | ||||
\(566\) | 13.4575 | + | 13.4575i | 0.565661 | + | 0.565661i | ||||
\(567\) | 2.44394 | + | 1.01348i | 0.102636 | + | 0.0425622i | ||||
\(568\) | −2.14343 | −0.0899365 | ||||||||
\(569\) | 7.99782 | − | 4.61755i | 0.335286 | − | 0.193578i | −0.322899 | − | 0.946433i | \(-0.604658\pi\) |
0.658186 | + | 0.752856i | \(0.271324\pi\) | |||||||
\(570\) | 14.8349 | − | 3.97499i | 0.621364 | − | 0.166494i | ||||
\(571\) | −35.9780 | − | 20.7719i | −1.50563 | − | 0.869278i | −0.999979 | − | 0.00654130i | \(-0.997918\pi\) |
−0.505654 | − | 0.862736i | \(-0.668749\pi\) | |||||||
\(572\) | 2.93250 | + | 17.9855i | 0.122614 | + | 0.752010i | ||||
\(573\) | − | 9.18558i | − | 0.383733i | ||||||
\(574\) | 6.41924 | − | 4.92150i | 0.267934 | − | 0.205420i | ||||
\(575\) | −51.8901 | −2.16397 | ||||||||
\(576\) | 0.866025 | − | 0.500000i | 0.0360844 | − | 0.0208333i | ||||
\(577\) | −0.946225 | − | 3.53136i | −0.0393919 | − | 0.147012i | 0.943429 | − | 0.331575i | \(-0.107580\pi\) |
−0.982821 | + | 0.184562i | \(0.940913\pi\) | |||||||
\(578\) | 7.32348 | − | 1.96232i | 0.304617 | − | 0.0816218i | ||||
\(579\) | 3.34768 | − | 12.4937i | 0.139125 | − | 0.519221i | ||||
\(580\) | −16.2781 | − | 16.2781i | −0.675912 | − | 0.675912i | ||||
\(581\) | 18.8831 | + | 14.5018i | 0.783404 | + | 0.601635i | ||||
\(582\) | − | 14.0706i | − | 0.583244i | ||||||
\(583\) | −1.91568 | − | 0.513305i | −0.0793394 | − | 0.0212589i | ||||
\(584\) | 1.23415 | − | 2.13761i | 0.0510694 | − | 0.0884548i | ||||
\(585\) | 9.86753 | + | 12.0727i | 0.407972 | + | 0.499146i | ||||
\(586\) | −6.26851 | + | 3.61912i | −0.258950 | + | 0.149505i | ||||
\(587\) | 3.35996 | − | 3.35996i | 0.138681 | − | 0.138681i | −0.634358 | − | 0.773039i | \(-0.718736\pi\) |
0.773039 | + | 0.634358i | \(0.218736\pi\) | |||||||
\(588\) | 4.94571 | + | 4.95378i | 0.203958 | + | 0.204291i | ||||
\(589\) | 28.5580i | 1.17671i | ||||||||
\(590\) | −0.939629 | + | 3.50674i | −0.0386839 | + | 0.144370i | ||||
\(591\) | −4.62328 | − | 17.2543i | −0.190176 | − | 0.709747i | ||||
\(592\) | −1.00443 | − | 3.74857i | −0.0412817 | − | 0.154065i | ||||
\(593\) | −9.35039 | + | 34.8961i | −0.383974 | + | 1.43301i | 0.455803 | + | 0.890081i | \(0.349352\pi\) |
−0.839777 | + | 0.542931i | \(0.817315\pi\) | |||||||
\(594\) | 5.05414i | 0.207374i | ||||||||
\(595\) | −27.8484 | − | 21.3869i | −1.14167 | − | 0.876778i | ||||
\(596\) | 7.93569 | − | 7.93569i | 0.325059 | − | 0.325059i | ||||
\(597\) | 6.82160 | − | 3.93845i | 0.279190 | − | 0.161190i | ||||
\(598\) | −8.64149 | − | 10.5727i | −0.353377 | − | 0.432350i | ||||
\(599\) | −16.4120 | + | 28.4265i | −0.670578 | + | 1.16148i | 0.307163 | + | 0.951657i | \(0.400620\pi\) |
−0.977740 | + | 0.209818i | \(0.932713\pi\) | |||||||
\(600\) | −13.2346 | − | 3.54620i | −0.540300 | − | 0.144773i | ||||
\(601\) | − | 18.2200i | − | 0.743208i | −0.928391 | − | 0.371604i | \(-0.878808\pi\) | ||
0.928391 | − | 0.371604i | \(-0.121192\pi\) | |||||||
\(602\) | −3.02904 | + | 22.9356i | −0.123454 | + | 0.934783i | ||||
\(603\) | −4.28956 | − | 4.28956i | −0.174684 | − | 0.174684i | ||||
\(604\) | 4.65772 | − | 17.3829i | 0.189520 | − | 0.707299i | ||||
\(605\) | 60.7540 | − | 16.2790i | 2.47000 | − | 0.661835i | ||||
\(606\) | 3.70805 | + | 13.8386i | 0.150629 | + | 0.562155i | ||||
\(607\) | −6.49995 | + | 3.75275i | −0.263825 | + | 0.152319i | −0.626078 | − | 0.779760i | \(-0.715341\pi\) |
0.362253 | + | 0.932080i | \(0.382008\pi\) | |||||||
\(608\) | −3.55142 | −0.144029 | ||||||||
\(609\) | −5.39508 | + | 13.0099i | −0.218620 | + | 0.527186i | ||||
\(610\) | 16.5293i | 0.669252i | ||||||||
\(611\) | 5.18826 | + | 31.8203i | 0.209895 | + | 1.28731i | ||||
\(612\) | 2.65775 | + | 1.53445i | 0.107433 | + | 0.0620266i | ||||
\(613\) | 19.6002 | − | 5.25185i | 0.791644 | − | 0.212120i | 0.159732 | − | 0.987160i | \(-0.448937\pi\) |
0.631912 | + | 0.775040i | \(0.282270\pi\) | |||||||
\(614\) | 25.6982 | − | 14.8369i | 1.03710 | − | 0.598767i | ||||
\(615\) | 13.2212 | 0.533129 | ||||||||
\(616\) | −5.12228 | + | 12.3520i | −0.206382 | + | 0.497677i | ||||
\(617\) | −2.58793 | − | 2.58793i | −0.104186 | − | 0.104186i | 0.653092 | − | 0.757278i | \(-0.273471\pi\) |
−0.757278 | + | 0.653092i | \(0.773471\pi\) | |||||||
\(618\) | 4.38724 | + | 1.17556i | 0.176481 | + | 0.0472878i | ||||
\(619\) | −42.2811 | + | 11.3292i | −1.69942 | + | 0.455359i | −0.972794 | − | 0.231671i | \(-0.925581\pi\) |
−0.726629 | + | 0.687030i | \(0.758914\pi\) | |||||||
\(620\) | 17.3874 | − | 30.1158i | 0.698293 | − | 1.20948i | ||||
\(621\) | −1.89360 | − | 3.27981i | −0.0759875 | − | 0.131614i | ||||
\(622\) | 10.7740 | + | 10.7740i | 0.431997 | + | 0.431997i | ||||
\(623\) | −17.7346 | − | 2.34216i | −0.710521 | − | 0.0938366i | ||||
\(624\) | −1.48147 | − | 3.28713i | −0.0593063 | − | 0.131591i | ||||
\(625\) | 47.1112 | + | 81.5990i | 1.88445 | + | 3.26396i | ||||
\(626\) | −5.31852 | − | 19.8490i | −0.212571 | − | 0.793325i | ||||
\(627\) | 8.97469 | − | 15.5446i | 0.358414 | − | 0.620792i | ||||
\(628\) | −3.15395 | − | 5.46279i | −0.125856 | − | 0.217989i | ||||
\(629\) | 8.42152 | − | 8.42152i | 0.335788 | − | 0.335788i | ||||
\(630\) | 1.48880 | + | 11.3443i | 0.0593153 | + | 0.451969i | ||||
\(631\) | −24.8517 | + | 24.8517i | −0.989329 | + | 0.989329i | −0.999944 | − | 0.0106143i | \(-0.996621\pi\) |
0.0106143 | + | 0.999944i | \(0.496621\pi\) | |||||||
\(632\) | −11.9053 | − | 3.19001i | −0.473567 | − | 0.126892i | ||||
\(633\) | 21.6571 | + | 12.5037i | 0.860792 | + | 0.496979i | ||||
\(634\) | −4.23839 | − | 2.44703i | −0.168328 | − | 0.0971842i | ||||
\(635\) | 9.86440 | − | 36.8145i | 0.391457 | − | 1.46094i | ||||
\(636\) | 0.392403 | 0.0155598 | ||||||||
\(637\) | 19.5549 | − | 15.9564i | 0.774792 | − | 0.632216i | ||||
\(638\) | −26.9048 | −1.06517 | ||||||||
\(639\) | −0.554762 | + | 2.07040i | −0.0219460 | + | 0.0819037i | ||||
\(640\) | 3.74514 | + | 2.16226i | 0.148040 | + | 0.0854708i | ||||
\(641\) | −38.0315 | − | 21.9575i | −1.50215 | − | 0.867269i | −0.999997 | − | 0.00249346i | \(-0.999206\pi\) |
−0.502158 | − | 0.864776i | \(-0.667460\pi\) | |||||||
\(642\) | −5.37285 | − | 1.43965i | −0.212050 | − | 0.0568185i | ||||
\(643\) | −2.33993 | + | 2.33993i | −0.0922780 | + | 0.0922780i | −0.751739 | − | 0.659461i | \(-0.770785\pi\) |
0.659461 | + | 0.751739i | \(0.270785\pi\) | |||||||
\(644\) | −1.30382 | − | 9.93480i | −0.0513777 | − | 0.391486i | ||||
\(645\) | −26.7385 | + | 26.7385i | −1.05283 | + | 1.05283i | ||||
\(646\) | −5.44949 | − | 9.43879i | −0.214407 | − | 0.371364i | ||||
\(647\) | 15.6515 | − | 27.1093i | 0.615326 | − | 1.06578i | −0.375002 | − | 0.927024i | \(-0.622358\pi\) |
0.990327 | − | 0.138751i | \(-0.0443088\pi\) | |||||||
\(648\) | −0.258819 | − | 0.965926i | −0.0101674 | − | 0.0379452i | ||||
\(649\) | 2.12148 | + | 3.67452i | 0.0832755 | + | 0.144237i | ||||
\(650\) | −17.4940 | + | 46.2001i | −0.686169 | + | 1.81212i | ||||
\(651\) | −21.0921 | − | 2.78558i | −0.826666 | − | 0.109176i | ||||
\(652\) | 4.89563 | + | 4.89563i | 0.191727 | + | 0.191727i | ||||
\(653\) | −17.6786 | − | 30.6203i | −0.691818 | − | 1.19826i | −0.971242 | − | 0.238095i | \(-0.923477\pi\) |
0.279424 | − | 0.960168i | \(-0.409856\pi\) | |||||||
\(654\) | 1.05972 | − | 1.83550i | 0.0414385 | − | 0.0717736i | ||||
\(655\) | 24.4813 | − | 6.55975i | 0.956564 | − | 0.256311i | ||||
\(656\) | −2.95309 | − | 0.791277i | −0.115299 | − | 0.0308942i | ||||
\(657\) | −1.74535 | − | 1.74535i | −0.0680926 | − | 0.0680926i | ||||
\(658\) | −9.06246 | + | 21.8535i | −0.353292 | + | 0.851939i | ||||
\(659\) | −33.6180 | −1.30957 | −0.654785 | − | 0.755815i | \(-0.727241\pi\) | ||||
−0.654785 | + | 0.755815i | \(0.727241\pi\) | |||||||
\(660\) | −18.9285 | + | 10.9284i | −0.736790 | + | 0.425386i | ||||
\(661\) | −16.8396 | + | 4.51215i | −0.654984 | + | 0.175502i | −0.570981 | − | 0.820963i | \(-0.693437\pi\) |
−0.0840027 | + | 0.996466i | \(0.526770\pi\) | |||||||
\(662\) | 2.10530 | + | 1.21549i | 0.0818248 | + | 0.0472415i | ||||
\(663\) | 6.46313 | − | 8.98133i | 0.251007 | − | 0.348806i | ||||
\(664\) | − | 8.99899i | − | 0.349229i | ||||||
\(665\) | 15.5652 | − | 37.5345i | 0.603594 | − | 1.45553i | ||||
\(666\) | −3.88081 | −0.150378 | ||||||||
\(667\) | 17.4594 | − | 10.0802i | 0.676033 | − | 0.390308i | ||||
\(668\) | −1.51839 | − | 5.66671i | −0.0587482 | − | 0.219251i | ||||
\(669\) | −27.1458 | + | 7.27370i | −1.04952 | + | 0.281218i | ||||
\(670\) | 6.78986 | − | 25.3401i | 0.262315 | − | 0.978974i | ||||
\(671\) | 13.6599 | + | 13.6599i | 0.527336 | + | 0.527336i | ||||
\(672\) | 0.346409 | − | 2.62298i | 0.0133630 | − | 0.101183i | ||||
\(673\) | 46.0164i | 1.77380i | 0.461958 | + | 0.886902i | \(0.347147\pi\) | ||||
−0.461958 | + | 0.886902i | \(0.652853\pi\) | |||||||
\(674\) | −33.6397 | − | 9.01374i | −1.29575 | − | 0.347196i | ||||
\(675\) | −6.85072 | + | 11.8658i | −0.263684 | + | 0.456715i | ||||
\(676\) | −12.3267 | + | 4.12948i | −0.474104 | + | 0.158826i | ||||
\(677\) | 20.1767 | − | 11.6490i | 0.775452 | − | 0.447707i | −0.0593641 | − | 0.998236i | \(-0.518907\pi\) |
0.834816 | + | 0.550529i | \(0.185574\pi\) | |||||||
\(678\) | 0.669177 | − | 0.669177i | 0.0256996 | − | 0.0256996i | ||||
\(679\) | −29.5251 | − | 22.6746i | −1.13307 | − | 0.870170i | ||||
\(680\) | 13.2715i | 0.508940i | ||||||||
\(681\) | −1.29127 | + | 4.81907i | −0.0494814 | + | 0.184667i | ||||
\(682\) | −10.5189 | − | 39.2570i | −0.402789 | − | 1.50323i | ||||
\(683\) | −1.24268 | − | 4.63776i | −0.0475500 | − | 0.177459i | 0.938067 | − | 0.346454i | \(-0.112614\pi\) |
−0.985617 | + | 0.168995i | \(0.945948\pi\) | |||||||
\(684\) | −0.919175 | + | 3.43041i | −0.0351455 | + | 0.131165i | ||||
\(685\) | 82.6006i | 3.15601i | ||||||||
\(686\) | 18.3648 | − | 2.39491i | 0.701170 | − | 0.0914383i | ||||
\(687\) | −10.6645 | + | 10.6645i | −0.406877 | + | 0.406877i | ||||
\(688\) | 7.57261 | − | 4.37205i | 0.288703 | − | 0.166683i | ||||
\(689\) | 0.141491 | − | 1.40774i | 0.00539037 | − | 0.0536305i | ||||
\(690\) | 8.18890 | − | 14.1836i | 0.311746 | − | 0.539960i | ||||
\(691\) | 11.9676 | + | 3.20671i | 0.455269 | + | 0.121989i | 0.479164 | − | 0.877725i | \(-0.340940\pi\) |
−0.0238946 | + | 0.999714i | \(0.507607\pi\) | |||||||
\(692\) | 5.54541i | 0.210805i | ||||||||
\(693\) | 10.6054 | + | 8.14468i | 0.402866 | + | 0.309391i | ||||
\(694\) | 13.0508 | + | 13.0508i | 0.495401 | + | 0.495401i | ||||
\(695\) | −8.88978 | + | 33.1771i | −0.337209 | + | 1.25848i | ||||
\(696\) | 5.14192 | − | 1.37777i | 0.194904 | − | 0.0522244i | ||||
\(697\) | −2.42835 | − | 9.06274i | −0.0919805 | − | 0.343276i | ||||
\(698\) | 19.3309 | − | 11.1607i | 0.731685 | − | 0.422439i | ||||
\(699\) | 3.49849 | 0.132325 | ||||||||
\(700\) | −28.7685 | + | 22.0563i | −1.08735 | + | 0.833648i | ||||
\(701\) | 5.59447i | 0.211300i | 0.994403 | + | 0.105650i | \(0.0336924\pi\) | ||||
−0.994403 | + | 0.105650i | \(0.966308\pi\) | |||||||
\(702\) | −3.55856 | + | 0.580218i | −0.134309 | + | 0.0218989i | ||||
\(703\) | 11.9359 | + | 6.89119i | 0.450171 | + | 0.259906i | ||||
\(704\) | 4.88192 | − | 1.30811i | 0.183994 | − | 0.0493012i | ||||
\(705\) | −33.4887 | + | 19.3347i | −1.26126 | + | 0.728188i | ||||
\(706\) | 28.4322 | 1.07006 | ||||||||
\(707\) | 35.0139 | + | 14.5199i | 1.31683 | + | 0.546079i | ||||
\(708\) | −0.593619 | − | 0.593619i | −0.0223096 | − | 0.0223096i | ||||
\(709\) | −17.3613 | − | 4.65196i | −0.652019 | − | 0.174708i | −0.0823775 | − | 0.996601i | \(-0.526251\pi\) |
−0.569642 | + | 0.821893i | \(0.692918\pi\) | |||||||
\(710\) | −8.95347 | + | 2.39908i | −0.336018 | + | 0.0900357i | ||||
\(711\) | −6.16264 | + | 10.6740i | −0.231117 | + | 0.400306i | ||||
\(712\) | 3.38062 | + | 5.85541i | 0.126694 | + | 0.219441i | ||||
\(713\) | 21.5342 | + | 21.5342i | 0.806463 | + | 0.806463i | ||||
\(714\) | 7.50276 | − | 3.10416i | 0.280784 | − | 0.116170i | ||||
\(715\) | 32.3801 | + | 71.8459i | 1.21095 | + | 2.68688i | ||||
\(716\) | 7.13614 | + | 12.3602i | 0.266690 | + | 0.461921i | ||||
\(717\) | −0.703465 | − | 2.62537i | −0.0262714 | − | 0.0980462i | ||||
\(718\) | 2.30272 | − | 3.98842i | 0.0859366 | − | 0.148847i | ||||
\(719\) | 3.74178 | + | 6.48096i | 0.139545 | + | 0.241699i | 0.927324 | − | 0.374258i | \(-0.122103\pi\) |
−0.787780 | + | 0.615957i | \(0.788769\pi\) | |||||||
\(720\) | 3.05790 | − | 3.05790i | 0.113961 | − | 0.113961i | ||||
\(721\) | 9.53672 | − | 7.31160i | 0.355166 | − | 0.272298i | ||||
\(722\) | −4.51658 | + | 4.51658i | −0.168090 | + | 0.168090i | ||||
\(723\) | −25.6445 | − | 6.87142i | −0.953729 | − | 0.255551i | ||||
\(724\) | 18.8815 | + | 10.9013i | 0.701727 | + | 0.405142i | ||||
\(725\) | −63.1653 | − | 36.4685i | −2.34590 | − | 1.35441i | ||||
\(726\) | −3.76435 | + | 14.0487i | −0.139708 | + | 0.521397i | ||||
\(727\) | 13.3542 | 0.495279 | 0.247640 | − | 0.968852i | \(-0.420345\pi\) | ||||
0.247640 | + | 0.968852i | \(0.420345\pi\) | |||||||
\(728\) | −9.28496 | − | 2.18852i | −0.344123 | − | 0.0811118i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 2.76268 | − | 10.3105i | 0.102252 | − | 0.381608i | ||||
\(731\) | 23.2396 | + | 13.4174i | 0.859548 | + | 0.496260i | ||||
\(732\) | −3.31015 | − | 1.91111i | −0.122347 | − | 0.0706368i | ||||
\(733\) | 7.68035 | + | 2.05794i | 0.283680 | + | 0.0760119i | 0.397854 | − | 0.917449i | \(-0.369755\pi\) |
−0.114173 | + | 0.993461i | \(0.536422\pi\) | |||||||
\(734\) | −13.5039 | + | 13.5039i | −0.498437 | + | 0.498437i | ||||
\(735\) | 26.2036 | + | 15.1572i | 0.966536 | + | 0.559081i | ||||
\(736\) | −2.67795 | + | 2.67795i | −0.0987107 | + | 0.0987107i | ||||
\(737\) | −15.3301 | − | 26.5525i | −0.564691 | − | 0.978073i | ||||
\(738\) | −1.52863 | + | 2.64767i | −0.0562697 | + | 0.0974619i | ||||
\(739\) | 4.38445 | + | 16.3630i | 0.161285 | + | 0.601922i | 0.998485 | + | 0.0550259i | \(0.0175241\pi\) |
−0.837200 | + | 0.546896i | \(0.815809\pi\) | |||||||
\(740\) | −8.39131 | − | 14.5342i | −0.308471 | − | 0.534287i | ||||
\(741\) | 11.9751 | + | 4.53444i | 0.439915 | + | 0.166577i | ||||
\(742\) | 0.632352 | − | 0.823402i | 0.0232144 | − | 0.0302280i | ||||
\(743\) | −22.5162 | − | 22.5162i | −0.826038 | − | 0.826038i | 0.160928 | − | 0.986966i | \(-0.448551\pi\) |
−0.986966 | + | 0.160928i | \(0.948551\pi\) | |||||||
\(744\) | 4.02065 | + | 6.96397i | 0.147404 | + | 0.255312i | ||||
\(745\) | 24.2665 | − | 42.0308i | 0.889056 | − | 1.53989i | ||||
\(746\) | 1.38080 | − | 0.369985i | 0.0505547 | − | 0.0135461i | ||||
\(747\) | −8.69236 | − | 2.32911i | −0.318037 | − | 0.0852177i | ||||
\(748\) | 10.9677 | + | 10.9677i | 0.401019 | + | 0.401019i | ||||
\(749\) | −11.6792 | + | 8.95419i | −0.426748 | + | 0.327179i | ||||
\(750\) | −37.6296 | −1.37404 | ||||||||
\(751\) | 11.5378 | − | 6.66135i | 0.421020 | − | 0.243076i | −0.274494 | − | 0.961589i | \(-0.588510\pi\) |
0.695514 | + | 0.718513i | \(0.255177\pi\) | |||||||
\(752\) | 8.63722 | − | 2.31434i | 0.314967 | − | 0.0843952i | ||||
\(753\) | 17.7677 | + | 10.2582i | 0.647491 | + | 0.373829i | ||||
\(754\) | −3.08868 | − | 18.9433i | −0.112483 | − | 0.689875i | ||||
\(755\) | − | 77.8243i | − | 2.83232i | ||||||
\(756\) | −2.44394 | − | 1.01348i | −0.0888853 | − | 0.0368600i | ||||
\(757\) | −7.60210 | −0.276303 | −0.138152 | − | 0.990411i | \(-0.544116\pi\) | ||||
−0.138152 | + | 0.990411i | \(0.544116\pi\) | |||||||
\(758\) | 18.9550 | − | 10.9437i | 0.688478 | − | 0.397493i | ||||
\(759\) | −4.95406 | − | 18.4888i | −0.179821 | − | 0.671101i | ||||
\(760\) | −14.8349 | + | 3.97499i | −0.538117 | + | 0.144188i | ||||
\(761\) | 3.24500 | − | 12.1105i | 0.117631 | − | 0.439006i | −0.881839 | − | 0.471550i | \(-0.843695\pi\) |
0.999470 | + | 0.0325449i | \(0.0103612\pi\) | |||||||
\(762\) | 6.23192 | + | 6.23192i | 0.225759 | + | 0.225759i | ||||
\(763\) | −2.14380 | − | 5.18156i | −0.0776106 | − | 0.187585i | ||||
\(764\) | 9.18558i | 0.332323i | ||||||||
\(765\) | 12.8193 | + | 3.43493i | 0.463483 | + | 0.124190i | ||||
\(766\) | 4.34126 | − | 7.51929i | 0.156856 | − | 0.271683i | ||||
\(767\) | −2.34364 | + | 1.91555i | −0.0846238 | + | 0.0691665i | ||||
\(768\) | −0.866025 | + | 0.500000i | −0.0312500 | + | 0.0180422i | ||||
\(769\) | −3.83908 | + | 3.83908i | −0.138441 | + | 0.138441i | −0.772931 | − | 0.634490i | \(-0.781210\pi\) |
0.634490 | + | 0.772931i | \(0.281210\pi\) | |||||||
\(770\) | −7.57137 | + | 57.3296i | −0.272853 | + | 2.06602i | ||||
\(771\) | 1.69397i | 0.0610068i | ||||||||
\(772\) | −3.34768 | + | 12.4937i | −0.120486 | + | 0.449659i | ||||
\(773\) | −7.29749 | − | 27.2346i | −0.262473 | − | 0.979561i | −0.963779 | − | 0.266701i | \(-0.914066\pi\) |
0.701307 | − | 0.712860i | \(-0.252600\pi\) | |||||||
\(774\) | −2.26314 | − | 8.44615i | −0.0813468 | − | 0.303591i | ||||
\(775\) | 28.5160 | − | 106.423i | 1.02433 | − | 3.82284i | ||||
\(776\) | 14.0706i | 0.505104i | ||||||||
\(777\) | −6.25387 | + | 8.14333i | −0.224356 | + | 0.292140i | ||||
\(778\) | 19.2013 | − | 19.2013i | 0.688401 | − | 0.688401i | ||||
\(779\) | 9.40297 | − | 5.42881i | 0.336896 | − | 0.194507i | ||||
\(780\) | −9.86753 | − | 12.0727i | −0.353314 | − | 0.432273i | ||||
\(781\) | −5.41661 | + | 9.38184i | −0.193821 | + | 0.335709i | ||||
\(782\) | −11.2265 | − | 3.00814i | −0.401460 | − | 0.107571i | ||||
\(783\) | − | 5.32331i | − | 0.190240i | ||||||
\(784\) | −4.94571 | − | 4.95378i | −0.176632 | − | 0.176921i | ||||
\(785\) | −19.2889 | − | 19.2889i | −0.688449 | − | 0.688449i | ||||
\(786\) | −1.51687 | + | 5.66105i | −0.0541051 | + | 0.201923i | ||||
\(787\) | −20.0835 | + | 5.38137i | −0.715900 | + | 0.191825i | −0.598342 | − | 0.801241i | \(-0.704173\pi\) |
−0.117559 | + | 0.993066i | \(0.537507\pi\) | |||||||
\(788\) | 4.62328 | + | 17.2543i | 0.164697 | + | 0.614659i | ||||
\(789\) | 5.01829 | − | 2.89731i | 0.178656 | − | 0.103147i | ||||
\(790\) | −53.3008 | −1.89636 | ||||||||
\(791\) | −0.325803 | − | 2.48254i | −0.0115842 | − | 0.0882690i | ||||
\(792\) | − | 5.05414i | − | 0.179591i | ||||||
\(793\) | −8.04964 | + | 11.1860i | −0.285851 | + | 0.397226i | ||||
\(794\) | 1.67331 | + | 0.966087i | 0.0593836 | + | 0.0342852i | ||||
\(795\) | 1.63913 | − | 0.439204i | 0.0581340 | − | 0.0155770i | ||||
\(796\) | −6.82160 | + | 3.93845i | −0.241785 | + | 0.139595i | ||||
\(797\) | −43.3441 | −1.53533 | −0.767664 | − | 0.640853i | \(-0.778581\pi\) | ||||
−0.767664 | + | 0.640853i | \(0.778581\pi\) | |||||||
\(798\) | 5.71699 | + | 7.45682i | 0.202379 | + | 0.263969i | ||||
\(799\) | 19.4043 | + | 19.4043i | 0.686476 | + | 0.686476i | ||||
\(800\) | 13.2346 | + | 3.54620i | 0.467913 | + | 0.125377i | ||||
\(801\) | 6.53086 | − | 1.74994i | 0.230756 | − | 0.0618310i | ||||
\(802\) | 1.12761 | − | 1.95309i | 0.0398175 | − | 0.0689659i | ||||
\(803\) | −6.23756 | − | 10.8038i | −0.220119 | − | 0.381257i | ||||
\(804\) | 4.28956 | + | 4.28956i | 0.151281 | + | 0.151281i | ||||
\(805\) | −16.5660 | − | 40.0399i | −0.583873 | − | 1.41122i | ||||
\(806\) | 26.4328 | − | 11.9130i | 0.931056 | − | 0.419616i | ||||
\(807\) | −0.876924 | − | 1.51888i | −0.0308692 | − | 0.0534670i | ||||
\(808\) | −3.70805 | − | 13.8386i | −0.130449 | − | 0.486841i | ||||
\(809\) | −20.8189 | + | 36.0593i | −0.731952 | + | 1.26778i | 0.224096 | + | 0.974567i | \(0.428057\pi\) |
−0.956048 | + | 0.293211i | \(0.905276\pi\) | |||||||
\(810\) | −2.16226 | − | 3.74514i | −0.0759740 | − | 0.131591i | ||||
\(811\) | −10.3627 | + | 10.3627i | −0.363884 | + | 0.363884i | −0.865241 | − | 0.501357i | \(-0.832834\pi\) |
0.501357 | + | 0.865241i | \(0.332834\pi\) | |||||||
\(812\) | 5.39508 | − | 13.0099i | 0.189330 | − | 0.456557i | ||||
\(813\) | −0.603569 | + | 0.603569i | −0.0211681 | + | 0.0211681i | ||||
\(814\) | −18.9458 | − | 5.07651i | −0.664050 | − | 0.177932i | ||||
\(815\) | 25.9293 | + | 14.9703i | 0.908265 | + | 0.524387i | ||||
\(816\) | −2.65775 | − | 1.53445i | −0.0930398 | − | 0.0537166i | ||||
\(817\) | −8.03736 | + | 29.9958i | −0.281192 | + | 1.04942i | ||||
\(818\) | 1.55044 | 0.0542098 | ||||||||
\(819\) | −4.51707 | + | 8.40215i | −0.157839 | + | 0.293595i | ||||
\(820\) | −13.2212 | −0.461703 | ||||||||
\(821\) | 10.6332 | − | 39.6837i | 0.371102 | − | 1.38497i | −0.487856 | − | 0.872924i | \(-0.662221\pi\) |
0.858957 | − | 0.512047i | \(-0.171113\pi\) | |||||||
\(822\) | −16.5416 | − | 9.55027i | −0.576953 | − | 0.333104i | ||||
\(823\) | −18.5957 | − | 10.7363i | −0.648207 | − | 0.374242i | 0.139562 | − | 0.990213i | \(-0.455431\pi\) |
−0.787769 | + | 0.615971i | \(0.788764\pi\) | |||||||
\(824\) | −4.38724 | − | 1.17556i | −0.152837 | − | 0.0409525i | ||||
\(825\) | −48.9665 | + | 48.9665i | −1.70479 | + | 1.70479i | ||||
\(826\) | −2.20223 | + | 0.289016i | −0.0766255 | + | 0.0100562i | ||||
\(827\) | −36.4404 | + | 36.4404i | −1.26716 | + | 1.26716i | −0.319608 | + | 0.947550i | \(0.603551\pi\) |
−0.947550 | + | 0.319608i | \(0.896449\pi\) | |||||||
\(828\) | 1.89360 | + | 3.27981i | 0.0658071 | + | 0.113981i | ||||
\(829\) | 1.57682 | − | 2.73113i | 0.0547652 | − | 0.0948562i | −0.837343 | − | 0.546678i | \(-0.815892\pi\) |
0.892108 | + | 0.451822i | \(0.149226\pi\) | |||||||
\(830\) | −10.0723 | − | 37.5903i | −0.349614 | − | 1.30478i | ||||
\(831\) | 14.0193 | + | 24.2821i | 0.486324 | + | 0.842338i | ||||
\(832\) | 1.48147 | + | 3.28713i | 0.0513608 | + | 0.113961i | ||||
\(833\) | 5.57696 | − | 20.7458i | 0.193230 | − | 0.718799i | ||||
\(834\) | −5.61619 | − | 5.61619i | −0.194473 | − | 0.194473i | ||||
\(835\) | −12.6851 | − | 21.9713i | −0.438987 | − | 0.760347i | ||||
\(836\) | −8.97469 | + | 15.5446i | −0.310396 | + | 0.537622i | ||||
\(837\) | 7.76730 | − | 2.08124i | 0.268477 | − | 0.0719382i | ||||
\(838\) | 29.1770 | + | 7.81796i | 1.00790 | + | 0.270067i | ||||
\(839\) | 4.20268 | + | 4.20268i | 0.145093 | + | 0.145093i | 0.775922 | − | 0.630829i | \(-0.217285\pi\) |
−0.630829 | + | 0.775922i | \(0.717285\pi\) | |||||||
\(840\) | −1.48880 | − | 11.3443i | −0.0513686 | − | 0.391416i | ||||
\(841\) | −0.662365 | −0.0228402 | ||||||||
\(842\) | −17.6544 | + | 10.1927i | −0.608409 | + | 0.351265i | ||||
\(843\) | 21.9348 | − | 5.87741i | 0.755475 | − | 0.202429i | ||||
\(844\) | −21.6571 | − | 12.5037i | −0.745468 | − | 0.430396i | ||||
\(845\) | −46.8686 | + | 31.0464i | −1.61233 | + | 1.06803i | ||||
\(846\) | − | 8.94191i | − | 0.307429i | ||||||
\(847\) | 23.4131 | + | 30.5383i | 0.804483 | + | 1.04931i | ||||
\(848\) | −0.392403 | −0.0134752 | ||||||||
\(849\) | −16.4820 | + | 9.51588i | −0.565661 | + | 0.326584i | ||||
\(850\) | 10.8829 | + | 40.6157i | 0.373282 | + | 1.39311i | ||||
\(851\) | 14.1966 | − | 3.80396i | 0.486653 | − | 0.130398i | ||||
\(852\) | 0.554762 | − | 2.07040i | 0.0190058 | − | 0.0709307i | ||||
\(853\) | −16.1042 | − | 16.1042i | −0.551396 | − | 0.551396i | 0.375448 | − | 0.926844i | \(-0.377489\pi\) |
−0.926844 | + | 0.375448i | \(0.877489\pi\) | |||||||
\(854\) | −9.34446 | + | 3.86614i | −0.319761 | + | 0.132297i | ||||
\(855\) | 15.3582i | 0.525239i | ||||||||
\(856\) | 5.37285 | + | 1.43965i | 0.183640 | + | 0.0492063i | ||||
\(857\) | 20.3609 | − | 35.2661i | 0.695515 | − | 1.20467i | −0.274492 | − | 0.961589i | \(-0.588510\pi\) |
0.970007 | − | 0.243078i | \(-0.0781570\pi\) | |||||||
\(858\) | −18.1316 | − | 1.82240i | −0.619003 | − | 0.0622156i | ||||
\(859\) | −10.3199 | + | 5.95819i | −0.352110 | + | 0.203291i | −0.665614 | − | 0.746296i | \(-0.731830\pi\) |
0.313504 | + | 0.949587i | \(0.398497\pi\) | |||||||
\(860\) | 26.7385 | − | 26.7385i | 0.911776 | − | 0.911776i | ||||
\(861\) | 3.09238 | + | 7.47429i | 0.105388 | + | 0.254723i | ||||
\(862\) | − | 22.2572i | − | 0.758083i | ||||||
\(863\) | −2.55303 | + | 9.52803i | −0.0869060 | + | 0.324338i | −0.995668 | − | 0.0929764i | \(-0.970362\pi\) |
0.908762 | + | 0.417314i | \(0.137029\pi\) | |||||||
\(864\) | 0.258819 | + | 0.965926i | 0.00880520 | + | 0.0328615i | ||||
\(865\) | 6.20680 | + | 23.1641i | 0.211038 | + | 0.787603i | ||||
\(866\) | −5.56074 | + | 20.7530i | −0.188962 | + | 0.705214i | ||||
\(867\) | 7.58182i | 0.257492i | ||||||||
\(868\) | 21.0921 | + | 2.78558i | 0.715914 | + | 0.0945488i | ||||
\(869\) | −44.0482 | + | 44.0482i | −1.49423 | + | 1.49423i | ||||
\(870\) | 19.9366 | − | 11.5104i | 0.675912 | − | 0.390238i | ||||
\(871\) | 16.9354 | − | 13.8420i | 0.573834 | − | 0.469017i | ||||
\(872\) | −1.05972 | + | 1.83550i | −0.0358868 | + | 0.0621577i | ||||
\(873\) | 13.5911 | + | 3.64173i | 0.459990 | + | 0.123254i | ||||
\(874\) | − | 13.4499i | − | 0.454951i | ||||||
\(875\) | −60.6396 | + | 78.9603i | −2.04999 | + | 2.66935i | ||||
\(876\) | 1.74535 | + | 1.74535i | 0.0589699 | + | 0.0589699i | ||||
\(877\) | 7.05053 | − | 26.3129i | 0.238080 | − | 0.888525i | −0.738657 | − | 0.674082i | \(-0.764540\pi\) |
0.976736 | − | 0.214443i | \(-0.0687937\pi\) | |||||||
\(878\) | −18.7654 | + | 5.02818i | −0.633302 | + | 0.169693i | ||||
\(879\) | −1.87340 | − | 6.99161i | −0.0631881 | − | 0.235821i | ||||
\(880\) | 18.9285 | − | 10.9284i | 0.638078 | − | 0.368395i | ||||
\(881\) | −36.0053 | −1.21305 | −0.606524 | − | 0.795065i | \(-0.707437\pi\) | ||||
−0.606524 | + | 0.795065i | \(0.707437\pi\) | |||||||
\(882\) | −6.06503 | + | 3.49505i | −0.204220 | + | 0.117685i | ||||
\(883\) | − | 20.0695i | − | 0.675392i | −0.941255 | − | 0.337696i | \(-0.890352\pi\) | ||
0.941255 | − | 0.337696i | \(-0.109648\pi\) | |||||||
\(884\) | −6.46313 | + | 8.98133i | −0.217379 | + | 0.302075i | ||||
\(885\) | −3.14406 | − | 1.81522i | −0.105686 | − | 0.0610181i | ||||
\(886\) | −31.0793 | + | 8.32768i | −1.04413 | + | 0.279774i | ||||
\(887\) | 21.7505 | − | 12.5577i | 0.730310 | − | 0.421645i | −0.0882255 | − | 0.996101i | \(-0.528120\pi\) |
0.818536 | + | 0.574456i | \(0.194786\pi\) | |||||||
\(888\) | 3.88081 | 0.130231 | ||||||||
\(889\) | 23.1195 | − | 3.03415i | 0.775402 | − | 0.101762i | ||||
\(890\) | 20.6752 | + | 20.6752i | 0.693033 | + | 0.693033i | ||||
\(891\) | −4.88192 | − | 1.30811i | −0.163551 | − | 0.0438232i | ||||
\(892\) | 27.1458 | − | 7.27370i | 0.908910 | − | 0.243542i | ||||
\(893\) | −15.8782 | + | 27.5019i | −0.531345 | + | 0.920317i | ||||
\(894\) | 5.61138 | + | 9.71919i | 0.187673 | + | 0.325059i | ||||
\(895\) | 43.6431 | + | 43.6431i | 1.45883 | + | 1.45883i | ||||
\(896\) | −0.346409 | + | 2.62298i | −0.0115727 | + | 0.0876275i | ||||
\(897\) | 12.4490 | − | 5.61062i | 0.415661 | − | 0.187333i | ||||
\(898\) | 14.7735 | + | 25.5884i | 0.492997 | + | 0.853895i | ||||
\(899\) | 11.0791 | + | 41.3477i | 0.369508 | + | 1.37902i | ||||
\(900\) | 6.85072 | − | 11.8658i | 0.228357 | − | 0.395527i | ||||
\(901\) | −0.602124 | − | 1.04291i | −0.0200597 | − | 0.0347443i | ||||
\(902\) | −10.9261 | + | 10.9261i | −0.363799 | + | 0.363799i | ||||
\(903\) | −21.3701 | − | 8.86198i | −0.711151 | − | 0.294908i | ||||
\(904\) | −0.669177 | + | 0.669177i | −0.0222565 | + | 0.0222565i | ||||
\(905\) | 91.0727 | + | 24.4028i | 3.02736 | + | 0.811178i | ||||
\(906\) | 15.5850 | + | 8.99803i | 0.517778 | + | 0.298940i | ||||
\(907\) | 23.3950 | + | 13.5071i | 0.776819 | + | 0.448497i | 0.835302 | − | 0.549792i | \(-0.185293\pi\) |
−0.0584825 | + | 0.998288i | \(0.518626\pi\) | |||||||
\(908\) | 1.29127 | − | 4.81907i | 0.0428522 | − | 0.159926i | ||||
\(909\) | −14.3268 | −0.475190 | ||||||||
\(910\) | −41.2343 | + | 1.25056i | −1.36690 | + | 0.0414557i | ||||
\(911\) | −17.5249 | −0.580626 | −0.290313 | − | 0.956932i | \(-0.593759\pi\) | ||||
−0.290313 | + | 0.956932i | \(0.593759\pi\) | |||||||
\(912\) | 0.919175 | − | 3.43041i | 0.0304369 | − | 0.113592i | ||||
\(913\) | −39.3887 | − | 22.7411i | −1.30358 | − | 0.752620i | ||||
\(914\) | −22.6871 | − | 13.0984i | −0.750422 | − | 0.433256i | ||||
\(915\) | −15.9661 | − | 4.27810i | −0.527822 | − | 0.141430i | ||||
\(916\) | 10.6645 | − | 10.6645i | 0.352366 | − | 0.352366i | ||||
\(917\) | 9.43449 | + | 12.3057i | 0.311554 | + | 0.406369i | ||||
\(918\) | −2.17004 | + | 2.17004i | −0.0716221 | + | 0.0716221i | ||||
\(919\) | −7.26157 | − | 12.5774i | −0.239537 | − | 0.414891i | 0.721044 | − | 0.692889i | \(-0.243662\pi\) |
−0.960582 | + | 0.277998i | \(0.910329\pi\) | |||||||
\(920\) | −8.18890 | + | 14.1836i | −0.269980 | + | 0.467619i | ||||
\(921\) | 7.68013 | + | 28.6626i | 0.253069 | + | 0.944466i | ||||
\(922\) | −5.99865 | − | 10.3900i | −0.197555 | − | 0.342175i | ||||
\(923\) | −7.22747 | − | 2.73673i | −0.237895 | − | 0.0900805i | ||||
\(924\) | −10.6054 | − | 8.14468i | −0.348892 | − | 0.267940i | ||||
\(925\) | −37.5988 | − | 37.5988i | −1.23624 | − | 1.23624i | ||||
\(926\) | 4.84622 | + | 8.39390i | 0.159257 | + | 0.275841i | ||||
\(927\) | −2.27100 | + | 3.93349i | −0.0745895 | + | 0.129193i | ||||
\(928\) | −5.14192 | + | 1.37777i | −0.168792 | + | 0.0452277i | ||||
\(929\) | 45.1151 | + | 12.0886i | 1.48018 | + | 0.396613i | 0.906408 | − | 0.422404i | \(-0.138814\pi\) |
0.573770 | + | 0.819016i | \(0.305480\pi\) | |||||||
\(930\) | 24.5895 | + | 24.5895i | 0.806320 | + | 0.806320i | ||||
\(931\) | 24.8599 | + | 0.0202746i | 0.814751 | + | 0.000664475i | ||||
\(932\) | −3.49849 | −0.114597 | ||||||||
\(933\) | −13.1954 | + | 7.61836i | −0.431997 | + | 0.249414i | ||||
\(934\) | −7.77884 | + | 2.08433i | −0.254532 | + | 0.0682015i | ||||
\(935\) | 58.0897 | + | 33.5381i | 1.89973 | + | 1.09681i | ||||
\(936\) | 3.55856 | − | 0.580218i | 0.116315 | − | 0.0189650i | ||||
\(937\) | − | 23.2751i | − | 0.760364i | −0.924912 | − | 0.380182i | \(-0.875861\pi\) | ||
0.924912 | − | 0.380182i | \(-0.124139\pi\) | |||||||
\(938\) | 15.9136 | − | 2.08846i | 0.519597 | − | 0.0681907i | ||||
\(939\) | 20.5492 | 0.670597 | ||||||||
\(940\) | 33.4887 | − | 19.3347i | 1.09228 | − | 0.630629i | ||||
\(941\) | −0.267660 | − | 0.998921i | −0.00872547 | − | 0.0325639i | 0.961426 | − | 0.275064i | \(-0.0886991\pi\) |
−0.970151 | + | 0.242500i | \(0.922032\pi\) | |||||||
\(942\) | 6.09295 | − | 1.63260i | 0.198519 | − | 0.0531931i | ||||
\(943\) | 2.99672 | − | 11.1839i | 0.0975868 | − | 0.364199i | ||||
\(944\) | 0.593619 | + | 0.593619i | 0.0193206 | + | 0.0193206i | ||||
\(945\) | −11.3431 | − | 1.49805i | −0.368991 | − | 0.0487317i | ||||
\(946\) | − | 44.1939i | − | 1.43687i | ||||||
\(947\) | −36.4557 | − | 9.76829i | −1.18465 | − | 0.317427i | −0.387882 | − | 0.921709i | \(-0.626793\pi\) |
−0.796770 | + | 0.604282i | \(0.793460\pi\) | |||||||
\(948\) | 6.16264 | − | 10.6740i | 0.200153 | − | 0.346675i | ||||
\(949\) | 6.89073 | − | 5.63207i | 0.223682 | − | 0.182825i | ||||
\(950\) | −42.1405 | + | 24.3298i | −1.36722 | + | 0.789363i | ||||
\(951\) | 3.46063 | − | 3.46063i | 0.112219 | − | 0.112219i | ||||
\(952\) | −7.50276 | + | 3.10416i | −0.243166 | + | 0.100606i | ||||
\(953\) | − | 30.8085i | − | 0.997986i | −0.866606 | − | 0.498993i | \(-0.833703\pi\) | ||
0.866606 | − | 0.498993i | \(-0.166297\pi\) | |||||||
\(954\) | −0.101561 | + | 0.379032i | −0.00328817 | + | 0.0122716i | ||||
\(955\) | 10.2811 | + | 38.3697i | 0.332689 | + | 1.24161i | ||||
\(956\) | 0.703465 | + | 2.62537i | 0.0227517 | + | 0.0849105i | ||||
\(957\) | 6.96346 | − | 25.9880i | 0.225097 | − | 0.840073i | ||||
\(958\) | 39.7580i | 1.28452i | ||||||||
\(959\) | −46.6964 | + | 19.3200i | −1.50791 | + | 0.623875i | ||||
\(960\) | −3.05790 | + | 3.05790i | −0.0986931 | + | 0.0986931i | ||||
\(961\) | −29.1526 | + | 16.8312i | −0.940406 | + | 0.542943i | ||||
\(962\) | 1.39932 | − | 13.9223i | 0.0451160 | − | 0.448873i | ||||
\(963\) | 2.78119 | − | 4.81717i | 0.0896227 | − | 0.155231i | ||||
\(964\) | 25.6445 | + | 6.87142i | 0.825953 | + | 0.221314i | ||||
\(965\) | 55.9353i | 1.80062i | ||||||||
\(966\) | 9.93373 | + | 1.31192i | 0.319613 | + | 0.0422104i | ||||
\(967\) | −5.65134 | − | 5.65134i | −0.181735 | − | 0.181735i | 0.610377 | − | 0.792111i | \(-0.291018\pi\) |
−0.792111 | + | 0.610377i | \(0.791018\pi\) | |||||||
\(968\) | 3.76435 | − | 14.0487i | 0.120991 | − | 0.451543i | ||||
\(969\) | 10.5276 | − | 2.82086i | 0.338195 | − | 0.0906191i | ||||
\(970\) | 15.7487 | + | 58.7751i | 0.505662 | + | 1.88715i | ||||
\(971\) | −24.0319 | + | 13.8748i | −0.771220 | + | 0.445264i | −0.833310 | − | 0.552807i | \(-0.813557\pi\) |
0.0620898 | + | 0.998071i | \(0.480223\pi\) | |||||||
\(972\) | 1.00000 | 0.0320750 | ||||||||
\(973\) | −20.8352 | + | 2.73437i | −0.667946 | + | 0.0876597i | ||||
\(974\) | 17.2879i | 0.553941i | ||||||||
\(975\) | −40.0981 | − | 28.8553i | −1.28417 | − | 0.924110i | ||||
\(976\) | 3.31015 | + | 1.91111i | 0.105955 | + | 0.0611733i | ||||
\(977\) | 15.8854 | − | 4.25648i | 0.508219 | − | 0.136177i | 0.00440737 | − | 0.999990i | \(-0.498597\pi\) |
0.503812 | + | 0.863813i | \(0.331930\pi\) | |||||||
\(978\) | −5.99589 | + | 3.46173i | −0.191727 | + | 0.110694i | ||||
\(979\) | 34.1723 | 1.09215 | ||||||||
\(980\) | −26.2036 | − | 15.1572i | −0.837045 | − | 0.484179i | ||||
\(981\) | 1.49868 | + | 1.49868i | 0.0478490 | + | 0.0478490i | ||||
\(982\) | 16.4240 | + | 4.40078i | 0.524109 | + | 0.140435i | ||||
\(983\) | 11.3448 | − | 3.03983i | 0.361843 | − | 0.0969555i | −0.0733171 | − | 0.997309i | \(-0.523359\pi\) |
0.435160 | + | 0.900353i | \(0.356692\pi\) | |||||||
\(984\) | 1.52863 | − | 2.64767i | 0.0487309 | − | 0.0844045i | ||||
\(985\) | 38.6244 | + | 66.8994i | 1.23067 | + | 2.13159i | ||||
\(986\) | −11.5518 | − | 11.5518i | −0.367885 | − | 0.367885i | ||||
\(987\) | −18.7633 | − | 14.4098i | −0.597244 | − | 0.458668i | ||||
\(988\) | −11.9751 | − | 4.53444i | −0.380978 | − | 0.144260i | ||||
\(989\) | 16.5578 | + | 28.6790i | 0.526508 | + | 0.911938i | ||||
\(990\) | −5.65693 | − | 21.1120i | −0.179789 | − | 0.670982i | ||||
\(991\) | 22.0543 | − | 38.1991i | 0.700577 | − | 1.21344i | −0.267687 | − | 0.963506i | \(-0.586259\pi\) |
0.968264 | − | 0.249930i | \(-0.0804074\pi\) | |||||||
\(992\) | −4.02065 | − | 6.96397i | −0.127656 | − | 0.221106i | ||||
\(993\) | −1.71897 | + | 1.71897i | −0.0545498 | + | 0.0545498i | ||||
\(994\) | −3.45045 | − | 4.50051i | −0.109442 | − | 0.142747i | ||||
\(995\) | −24.0868 | + | 24.0868i | −0.763602 | + | 0.763602i | ||||
\(996\) | 8.69236 | + | 2.32911i | 0.275428 | + | 0.0738007i | ||||
\(997\) | 40.4186 | + | 23.3357i | 1.28007 | + | 0.739048i | 0.976861 | − | 0.213876i | \(-0.0686088\pi\) |
0.303209 | + | 0.952924i | \(0.401942\pi\) | |||||||
\(998\) | −2.06381 | − | 1.19154i | −0.0653288 | − | 0.0377176i | ||||
\(999\) | 1.00443 | − | 3.74857i | 0.0317787 | − | 0.118600i |
(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.bz.b.73.6 | yes | 40 | |
7.5 | odd | 6 | 546.2.bz.a.229.1 | yes | 40 | ||
13.5 | odd | 4 | 546.2.bz.a.31.1 | ✓ | 40 | ||
91.5 | even | 12 | inner | 546.2.bz.b.187.6 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bz.a.31.1 | ✓ | 40 | 13.5 | odd | 4 | ||
546.2.bz.a.229.1 | yes | 40 | 7.5 | odd | 6 | ||
546.2.bz.b.73.6 | yes | 40 | 1.1 | even | 1 | trivial | |
546.2.bz.b.187.6 | yes | 40 | 91.5 | even | 12 | inner |