Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} + \cdots + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 211.1 | ||
Root | \(0.500000 - 2.22827i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.211 |
Dual form | 378.2.u.b.43.1 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | − | 0.642788i | 0.541675 | − | 0.454519i | ||||
\(3\) | −1.67071 | + | 0.456871i | −0.964584 | + | 0.263775i | ||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −1.78124 | + | 0.648319i | −0.796595 | + | 0.289937i | −0.708075 | − | 0.706137i | \(-0.750436\pi\) |
−0.0885205 | + | 0.996074i | \(0.528214\pi\) | |||||||
\(6\) | −0.986166 | + | 1.42389i | −0.402601 | + | 0.581303i | ||||
\(7\) | 0.173648 | + | 0.984808i | 0.0656328 | + | 0.372222i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 2.58254 | − | 1.52660i | 0.860846 | − | 0.508866i | ||||
\(10\) | −0.947779 | + | 1.64160i | −0.299714 | + | 0.519120i | ||||
\(11\) | 4.90067 | + | 1.78370i | 1.47761 | + | 0.537805i | 0.950155 | − | 0.311778i | \(-0.100925\pi\) |
0.527454 | + | 0.849584i | \(0.323147\pi\) | |||||||
\(12\) | 0.159815 | + | 1.72466i | 0.0461345 | + | 0.497867i | ||||
\(13\) | 4.25805 | + | 3.57293i | 1.18097 | + | 0.990952i | 0.999972 | + | 0.00746894i | \(0.00237746\pi\) |
0.180999 | + | 0.983483i | \(0.442067\pi\) | |||||||
\(14\) | 0.766044 | + | 0.642788i | 0.204734 | + | 0.171792i | ||||
\(15\) | 2.67974 | − | 1.89695i | 0.691905 | − | 0.489790i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 2.07824 | − | 3.59961i | 0.504046 | − | 0.873033i | −0.495943 | − | 0.868355i | \(-0.665178\pi\) |
0.999989 | − | 0.00467830i | \(-0.00148915\pi\) | |||||||
\(18\) | 0.997061 | − | 2.82946i | 0.235010 | − | 0.666911i | ||||
\(19\) | 1.35633 | + | 2.34922i | 0.311162 | + | 0.538949i | 0.978614 | − | 0.205704i | \(-0.0659483\pi\) |
−0.667452 | + | 0.744653i | \(0.732615\pi\) | |||||||
\(20\) | 0.329160 | + | 1.86676i | 0.0736024 | + | 0.417420i | ||||
\(21\) | −0.740046 | − | 1.56599i | −0.161491 | − | 0.341728i | ||||
\(22\) | 4.90067 | − | 1.78370i | 1.04483 | − | 0.380286i | ||||
\(23\) | 0.529358 | − | 3.00214i | 0.110379 | − | 0.625989i | −0.878556 | − | 0.477639i | \(-0.841493\pi\) |
0.988935 | − | 0.148350i | \(-0.0473963\pi\) | |||||||
\(24\) | 1.23102 | + | 1.21844i | 0.251280 | + | 0.248713i | ||||
\(25\) | −1.07772 | + | 0.904313i | −0.215544 | + | 0.180863i | ||||
\(26\) | 5.55849 | 1.09011 | ||||||||
\(27\) | −3.61721 | + | 3.73039i | −0.696133 | + | 0.717913i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | −3.78733 | + | 3.17795i | −0.703290 | + | 0.590130i | −0.922708 | − | 0.385501i | \(-0.874029\pi\) |
0.219418 | + | 0.975631i | \(0.429584\pi\) | |||||||
\(30\) | 0.833463 | − | 3.17565i | 0.152169 | − | 0.579792i | ||||
\(31\) | −1.79730 | + | 10.1930i | −0.322805 | + | 1.83072i | 0.201864 | + | 0.979414i | \(0.435300\pi\) |
−0.524669 | + | 0.851306i | \(0.675811\pi\) | |||||||
\(32\) | −0.939693 | + | 0.342020i | −0.166116 | + | 0.0604612i | ||||
\(33\) | −9.00252 | − | 0.741067i | −1.56714 | − | 0.129003i | ||||
\(34\) | −0.721763 | − | 4.09332i | −0.123781 | − | 0.701999i | ||||
\(35\) | −0.947779 | − | 1.64160i | −0.160204 | − | 0.277481i | ||||
\(36\) | −1.05495 | − | 2.80839i | −0.175825 | − | 0.468066i | ||||
\(37\) | 5.29467 | − | 9.17063i | 0.870438 | − | 1.50764i | 0.00889327 | − | 0.999960i | \(-0.497169\pi\) |
0.861545 | − | 0.507682i | \(-0.169498\pi\) | |||||||
\(38\) | 2.54906 | + | 0.927781i | 0.413512 | + | 0.150506i | ||||
\(39\) | −8.74633 | − | 4.02394i | −1.40053 | − | 0.644347i | ||||
\(40\) | 1.45208 | + | 1.21844i | 0.229594 | + | 0.192652i | ||||
\(41\) | −0.771960 | − | 0.647752i | −0.120560 | − | 0.101162i | 0.580514 | − | 0.814250i | \(-0.302851\pi\) |
−0.701074 | + | 0.713088i | \(0.747296\pi\) | |||||||
\(42\) | −1.57351 | − | 0.723928i | −0.242798 | − | 0.111704i | ||||
\(43\) | 8.48794 | + | 3.08936i | 1.29440 | + | 0.471122i | 0.895168 | − | 0.445728i | \(-0.147055\pi\) |
0.399230 | + | 0.916851i | \(0.369277\pi\) | |||||||
\(44\) | 2.60759 | − | 4.51648i | 0.393109 | − | 0.680886i | ||||
\(45\) | −3.61040 | + | 4.39355i | −0.538207 | + | 0.654951i | ||||
\(46\) | −1.52423 | − | 2.64004i | −0.224735 | − | 0.389252i | ||||
\(47\) | −1.04196 | − | 5.90923i | −0.151985 | − | 0.861950i | −0.961491 | − | 0.274838i | \(-0.911376\pi\) |
0.809505 | − | 0.587112i | \(-0.199735\pi\) | |||||||
\(48\) | 1.72621 | + | 0.142098i | 0.249157 | + | 0.0205101i | ||||
\(49\) | −0.939693 | + | 0.342020i | −0.134242 | + | 0.0488600i | ||||
\(50\) | −0.244299 | + | 1.38549i | −0.0345491 | + | 0.195938i | ||||
\(51\) | −1.82757 | + | 6.96338i | −0.255911 | + | 0.975069i | ||||
\(52\) | 4.25805 | − | 3.57293i | 0.590485 | − | 0.495476i | ||||
\(53\) | −1.27451 | −0.175068 | −0.0875339 | − | 0.996162i | \(-0.527899\pi\) | ||||
−0.0875339 | + | 0.996162i | \(0.527899\pi\) | |||||||
\(54\) | −0.373098 | + | 5.18274i | −0.0507723 | + | 0.705282i | ||||
\(55\) | −9.88569 | −1.33299 | ||||||||
\(56\) | 0.766044 | − | 0.642788i | 0.102367 | − | 0.0858961i | ||||
\(57\) | −3.33932 | − | 3.30521i | −0.442304 | − | 0.437785i | ||||
\(58\) | −0.858518 | + | 4.86890i | −0.112729 | + | 0.639318i | ||||
\(59\) | −3.28812 | + | 1.19678i | −0.428077 | + | 0.155807i | −0.547068 | − | 0.837088i | \(-0.684256\pi\) |
0.118991 | + | 0.992895i | \(0.462034\pi\) | |||||||
\(60\) | −1.40280 | − | 2.96843i | −0.181101 | − | 0.383223i | ||||
\(61\) | −2.40588 | − | 13.6444i | −0.308042 | − | 1.74699i | −0.608831 | − | 0.793300i | \(-0.708361\pi\) |
0.300789 | − | 0.953691i | \(-0.402750\pi\) | |||||||
\(62\) | 5.17513 | + | 8.96359i | 0.657242 | + | 1.13838i | ||||
\(63\) | 1.95186 | + | 2.27821i | 0.245911 | + | 0.287028i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −9.90102 | − | 3.60367i | −1.22807 | − | 0.446981i | ||||
\(66\) | −7.37268 | + | 5.21902i | −0.907514 | + | 0.642417i | ||||
\(67\) | 6.83683 | + | 5.73678i | 0.835251 | + | 0.700859i | 0.956490 | − | 0.291764i | \(-0.0942423\pi\) |
−0.121239 | + | 0.992623i | \(0.538687\pi\) | |||||||
\(68\) | −3.18404 | − | 2.67173i | −0.386122 | − | 0.323995i | ||||
\(69\) | 0.487187 | + | 5.25755i | 0.0586504 | + | 0.632935i | ||||
\(70\) | −1.78124 | − | 0.648319i | −0.212899 | − | 0.0774889i | ||||
\(71\) | −1.93862 | + | 3.35779i | −0.230072 | + | 0.398496i | −0.957829 | − | 0.287339i | \(-0.907229\pi\) |
0.727757 | + | 0.685835i | \(0.240563\pi\) | |||||||
\(72\) | −2.61334 | − | 1.47324i | −0.307985 | − | 0.173624i | ||||
\(73\) | 5.00701 | + | 8.67239i | 0.586026 | + | 1.01503i | 0.994747 | + | 0.102367i | \(0.0326416\pi\) |
−0.408721 | + | 0.912659i | \(0.634025\pi\) | |||||||
\(74\) | −1.83882 | − | 10.4285i | −0.213758 | − | 1.21228i | ||||
\(75\) | 1.38740 | − | 2.00322i | 0.160203 | − | 0.231312i | ||||
\(76\) | 2.54906 | − | 0.927781i | 0.292397 | − | 0.106424i | ||||
\(77\) | −0.905608 | + | 5.13596i | −0.103204 | + | 0.585297i | ||||
\(78\) | −9.28662 | + | 2.53951i | −1.05150 | + | 0.287543i | ||||
\(79\) | −7.44513 | + | 6.24720i | −0.837642 | + | 0.702865i | −0.957032 | − | 0.289982i | \(-0.906351\pi\) |
0.119390 | + | 0.992847i | \(0.461906\pi\) | |||||||
\(80\) | 1.89556 | 0.211930 | ||||||||
\(81\) | 4.33900 | − | 7.88499i | 0.482111 | − | 0.876110i | ||||
\(82\) | −1.00772 | −0.111284 | ||||||||
\(83\) | 2.87989 | − | 2.41651i | 0.316109 | − | 0.265247i | −0.470903 | − | 0.882185i | \(-0.656072\pi\) |
0.787011 | + | 0.616938i | \(0.211627\pi\) | |||||||
\(84\) | −1.67071 | + | 0.456871i | −0.182289 | + | 0.0498487i | ||||
\(85\) | −1.36814 | + | 7.75913i | −0.148396 | + | 0.841596i | ||||
\(86\) | 8.48794 | − | 3.08936i | 0.915278 | − | 0.333134i | ||||
\(87\) | 4.87562 | − | 7.03975i | 0.522721 | − | 0.754740i | ||||
\(88\) | −0.905608 | − | 5.13596i | −0.0965381 | − | 0.547495i | ||||
\(89\) | −6.98840 | − | 12.1043i | −0.740768 | − | 1.28305i | −0.952146 | − | 0.305644i | \(-0.901128\pi\) |
0.211377 | − | 0.977405i | \(-0.432205\pi\) | |||||||
\(90\) | 0.0583890 | + | 5.68637i | 0.00615474 | + | 0.599396i | ||||
\(91\) | −2.77925 | + | 4.81379i | −0.291344 | + | 0.504623i | ||||
\(92\) | −2.86461 | − | 1.04263i | −0.298656 | − | 0.108702i | ||||
\(93\) | −1.65412 | − | 17.8507i | −0.171524 | − | 1.85103i | ||||
\(94\) | −4.59657 | − | 3.85698i | −0.474100 | − | 0.397817i | ||||
\(95\) | −3.93899 | − | 3.30521i | −0.404132 | − | 0.339107i | ||||
\(96\) | 1.41369 | − | 1.00073i | 0.144285 | − | 0.102137i | ||||
\(97\) | −1.06598 | − | 0.387987i | −0.108234 | − | 0.0393941i | 0.287335 | − | 0.957830i | \(-0.407231\pi\) |
−0.395570 | + | 0.918436i | \(0.629453\pi\) | |||||||
\(98\) | −0.500000 | + | 0.866025i | −0.0505076 | + | 0.0874818i | ||||
\(99\) | 15.3792 | − | 2.87488i | 1.54566 | − | 0.288937i | ||||
\(100\) | 0.703431 | + | 1.21838i | 0.0703431 | + | 0.121838i | ||||
\(101\) | −0.646320 | − | 3.66546i | −0.0643112 | − | 0.364727i | −0.999931 | − | 0.0117185i | \(-0.996270\pi\) |
0.935620 | − | 0.353008i | \(-0.114841\pi\) | |||||||
\(102\) | 3.07598 | + | 6.50900i | 0.304567 | + | 0.644487i | ||||
\(103\) | −0.291324 | + | 0.106033i | −0.0287050 | + | 0.0104478i | −0.356333 | − | 0.934359i | \(-0.615973\pi\) |
0.327628 | + | 0.944807i | \(0.393751\pi\) | |||||||
\(104\) | 0.965222 | − | 5.47405i | 0.0946478 | − | 0.536774i | ||||
\(105\) | 2.33346 | + | 2.30963i | 0.227723 | + | 0.225396i | ||||
\(106\) | −0.976334 | + | 0.819241i | −0.0948299 | + | 0.0795718i | ||||
\(107\) | 11.8843 | 1.14890 | 0.574448 | − | 0.818541i | \(-0.305217\pi\) | ||||
0.574448 | + | 0.818541i | \(0.305217\pi\) | |||||||
\(108\) | 3.04559 | + | 4.21003i | 0.293062 | + | 0.405111i | ||||
\(109\) | −13.2862 | −1.27259 | −0.636296 | − | 0.771445i | \(-0.719534\pi\) | ||||
−0.636296 | + | 0.771445i | \(0.719534\pi\) | |||||||
\(110\) | −7.57288 | + | 6.35440i | −0.722045 | + | 0.605868i | ||||
\(111\) | −4.65605 | + | 17.7404i | −0.441933 | + | 1.68385i | ||||
\(112\) | 0.173648 | − | 0.984808i | 0.0164082 | − | 0.0930556i | ||||
\(113\) | −12.0671 | + | 4.39206i | −1.13517 | + | 0.413170i | −0.840168 | − | 0.542325i | \(-0.817544\pi\) |
−0.295006 | + | 0.955495i | \(0.595322\pi\) | |||||||
\(114\) | −4.68261 | − | 0.385462i | −0.438567 | − | 0.0361018i | ||||
\(115\) | 1.00343 | + | 5.69073i | 0.0935702 | + | 0.530663i | ||||
\(116\) | 2.47201 | + | 4.28164i | 0.229520 | + | 0.397540i | ||||
\(117\) | 16.4510 | + | 2.72690i | 1.52090 | + | 0.252102i | ||||
\(118\) | −1.74957 | + | 3.03035i | −0.161061 | + | 0.278966i | ||||
\(119\) | 3.90580 | + | 1.42160i | 0.358045 | + | 0.130318i | ||||
\(120\) | −2.98268 | − | 1.37225i | −0.272280 | − | 0.125268i | ||||
\(121\) | 12.4085 | + | 10.4120i | 1.12805 | + | 0.946544i | ||||
\(122\) | −10.6135 | − | 8.90577i | −0.960900 | − | 0.806291i | ||||
\(123\) | 1.58566 | + | 0.729518i | 0.142974 | + | 0.0657784i | ||||
\(124\) | 9.72606 | + | 3.54000i | 0.873426 | + | 0.317901i | ||||
\(125\) | 6.07229 | − | 10.5175i | 0.543122 | − | 0.940715i | ||||
\(126\) | 2.95962 | + | 0.490582i | 0.263664 | + | 0.0437045i | ||||
\(127\) | −2.61394 | − | 4.52747i | −0.231949 | − | 0.401748i | 0.726432 | − | 0.687238i | \(-0.241177\pi\) |
−0.958382 | + | 0.285490i | \(0.907844\pi\) | |||||||
\(128\) | 0.173648 | + | 0.984808i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | −15.5923 | − | 1.28352i | −1.37283 | − | 0.113008i | ||||
\(130\) | −9.90102 | + | 3.60367i | −0.868376 | + | 0.316063i | ||||
\(131\) | −0.968590 | + | 5.49315i | −0.0846261 | + | 0.479939i | 0.912810 | + | 0.408383i | \(0.133907\pi\) |
−0.997437 | + | 0.0715553i | \(0.977204\pi\) | |||||||
\(132\) | −2.29308 | + | 8.73707i | −0.199587 | + | 0.760464i | ||||
\(133\) | −2.07801 | + | 1.74366i | −0.180186 | + | 0.151194i | ||||
\(134\) | 8.92484 | 0.770989 | ||||||||
\(135\) | 4.02465 | − | 8.98983i | 0.346386 | − | 0.773721i | ||||
\(136\) | −4.15647 | −0.356414 | ||||||||
\(137\) | 13.3511 | − | 11.2029i | 1.14066 | − | 0.957129i | 0.141202 | − | 0.989981i | \(-0.454903\pi\) |
0.999460 | + | 0.0328513i | \(0.0104588\pi\) | |||||||
\(138\) | 3.75270 | + | 3.71436i | 0.319451 | + | 0.316187i | ||||
\(139\) | 0.393760 | − | 2.23312i | 0.0333983 | − | 0.189411i | −0.963544 | − | 0.267549i | \(-0.913786\pi\) |
0.996943 | + | 0.0781378i | \(0.0248974\pi\) | |||||||
\(140\) | −1.78124 | + | 0.648319i | −0.150542 | + | 0.0547929i | ||||
\(141\) | 4.44057 | + | 9.39657i | 0.373963 | + | 0.791334i | ||||
\(142\) | 0.673275 | + | 3.81833i | 0.0565000 | + | 0.320427i | ||||
\(143\) | 14.4943 | + | 25.1048i | 1.21207 | + | 2.09937i | ||||
\(144\) | −2.94892 | + | 0.551252i | −0.245743 | + | 0.0459377i | ||||
\(145\) | 4.68583 | − | 8.11609i | 0.389137 | − | 0.674005i | ||||
\(146\) | 9.41009 | + | 3.42499i | 0.778785 | + | 0.283455i | ||||
\(147\) | 1.41369 | − | 1.00073i | 0.116600 | − | 0.0825392i | ||||
\(148\) | −8.11190 | − | 6.80669i | −0.666794 | − | 0.559507i | ||||
\(149\) | 0.422702 | + | 0.354689i | 0.0346291 | + | 0.0290573i | 0.659938 | − | 0.751320i | \(-0.270583\pi\) |
−0.625309 | + | 0.780377i | \(0.715027\pi\) | |||||||
\(150\) | −0.224837 | − | 2.42636i | −0.0183579 | − | 0.198111i | ||||
\(151\) | −14.4242 | − | 5.24999i | −1.17383 | − | 0.427238i | −0.319809 | − | 0.947482i | \(-0.603619\pi\) |
−0.854018 | + | 0.520244i | \(0.825841\pi\) | |||||||
\(152\) | 1.35633 | − | 2.34922i | 0.110013 | − | 0.190547i | ||||
\(153\) | −0.128032 | − | 12.4688i | −0.0103508 | − | 1.00804i | ||||
\(154\) | 2.60759 | + | 4.51648i | 0.210126 | + | 0.363949i | ||||
\(155\) | −3.40689 | − | 19.3215i | −0.273648 | − | 1.55194i | ||||
\(156\) | −5.48160 | + | 7.91471i | −0.438879 | + | 0.633684i | ||||
\(157\) | 10.8571 | − | 3.95167i | 0.866493 | − | 0.315378i | 0.129747 | − | 0.991547i | \(-0.458584\pi\) |
0.736746 | + | 0.676170i | \(0.236361\pi\) | |||||||
\(158\) | −1.68767 | + | 9.57127i | −0.134264 | + | 0.761449i | ||||
\(159\) | 2.12934 | − | 0.582288i | 0.168868 | − | 0.0461785i | ||||
\(160\) | 1.45208 | − | 1.21844i | 0.114797 | − | 0.0963262i | ||||
\(161\) | 3.04845 | 0.240252 | ||||||||
\(162\) | −1.74451 | − | 8.82931i | −0.137061 | − | 0.693696i | ||||
\(163\) | −7.32769 | −0.573949 | −0.286974 | − | 0.957938i | \(-0.592649\pi\) | ||||
−0.286974 | + | 0.957938i | \(0.592649\pi\) | |||||||
\(164\) | −0.771960 | + | 0.647752i | −0.0602800 | + | 0.0505809i | ||||
\(165\) | 16.5161 | − | 4.51648i | 1.28578 | − | 0.351608i | ||||
\(166\) | 0.652817 | − | 3.70231i | 0.0506685 | − | 0.287355i | ||||
\(167\) | 1.08894 | − | 0.396342i | 0.0842647 | − | 0.0306698i | −0.299544 | − | 0.954083i | \(-0.596834\pi\) |
0.383809 | + | 0.923413i | \(0.374612\pi\) | |||||||
\(168\) | −0.986166 | + | 1.42389i | −0.0760844 | + | 0.109856i | ||||
\(169\) | 3.10775 | + | 17.6249i | 0.239058 | + | 1.35576i | ||||
\(170\) | 3.93941 | + | 6.82327i | 0.302139 | + | 0.523321i | ||||
\(171\) | 7.08908 | + | 3.99640i | 0.542116 | + | 0.305612i | ||||
\(172\) | 4.51634 | − | 7.82252i | 0.344367 | − | 0.596462i | ||||
\(173\) | −16.9085 | − | 6.15418i | −1.28553 | − | 0.467894i | −0.393271 | − | 0.919422i | \(-0.628657\pi\) |
−0.892257 | + | 0.451528i | \(0.850879\pi\) | |||||||
\(174\) | −0.790125 | − | 8.52675i | −0.0598992 | − | 0.646411i | ||||
\(175\) | −1.07772 | − | 0.904313i | −0.0814678 | − | 0.0683596i | ||||
\(176\) | −3.99506 | − | 3.35226i | −0.301139 | − | 0.252686i | ||||
\(177\) | 4.94672 | − | 3.50172i | 0.371818 | − | 0.263205i | ||||
\(178\) | −13.1339 | − | 4.78034i | −0.984426 | − | 0.358302i | ||||
\(179\) | 1.47375 | − | 2.55260i | 0.110153 | − | 0.190790i | −0.805679 | − | 0.592353i | \(-0.798199\pi\) |
0.915832 | + | 0.401562i | \(0.131533\pi\) | |||||||
\(180\) | 3.69986 | + | 4.31848i | 0.275771 | + | 0.321881i | ||||
\(181\) | −6.81730 | − | 11.8079i | −0.506726 | − | 0.877675i | −0.999970 | − | 0.00778391i | \(-0.997522\pi\) |
0.493244 | − | 0.869891i | \(-0.335811\pi\) | |||||||
\(182\) | 0.965222 | + | 5.47405i | 0.0715470 | + | 0.405763i | ||||
\(183\) | 10.2533 | + | 21.6967i | 0.757944 | + | 1.60387i | ||||
\(184\) | −2.86461 | + | 1.04263i | −0.211182 | + | 0.0768639i | ||||
\(185\) | −3.48559 | + | 19.7677i | −0.256265 | + | 1.45335i | ||||
\(186\) | −12.7413 | − | 12.6112i | −0.934241 | − | 0.924697i | ||||
\(187\) | 16.6054 | − | 13.9336i | 1.21430 | − | 1.01892i | ||||
\(188\) | −6.00039 | −0.437624 | ||||||||
\(189\) | −4.30184 | − | 2.91448i | −0.312912 | − | 0.211997i | ||||
\(190\) | −5.14199 | −0.373039 | ||||||||
\(191\) | −3.88381 | + | 3.25890i | −0.281022 | + | 0.235806i | −0.772393 | − | 0.635145i | \(-0.780940\pi\) |
0.491371 | + | 0.870950i | \(0.336496\pi\) | |||||||
\(192\) | 0.439693 | − | 1.67531i | 0.0317321 | − | 0.120905i | ||||
\(193\) | 2.97118 | − | 16.8504i | 0.213870 | − | 1.21292i | −0.668986 | − | 0.743275i | \(-0.733272\pi\) |
0.882856 | − | 0.469643i | \(-0.155617\pi\) | |||||||
\(194\) | −1.06598 | + | 0.387987i | −0.0765332 | + | 0.0278558i | ||||
\(195\) | 18.1881 | + | 1.49721i | 1.30248 | + | 0.107217i | ||||
\(196\) | 0.173648 | + | 0.984808i | 0.0124034 | + | 0.0703434i | ||||
\(197\) | −0.276694 | − | 0.479248i | −0.0197136 | − | 0.0341450i | 0.856000 | − | 0.516975i | \(-0.172942\pi\) |
−0.875714 | + | 0.482830i | \(0.839609\pi\) | |||||||
\(198\) | 9.93318 | − | 12.0878i | 0.705920 | − | 0.859044i | ||||
\(199\) | 2.08088 | − | 3.60419i | 0.147510 | − | 0.255495i | −0.782797 | − | 0.622278i | \(-0.786208\pi\) |
0.930307 | + | 0.366783i | \(0.119541\pi\) | |||||||
\(200\) | 1.32202 | + | 0.481175i | 0.0934807 | + | 0.0340242i | ||||
\(201\) | −14.0433 | − | 6.46094i | −0.990539 | − | 0.455720i | ||||
\(202\) | −2.85122 | − | 2.39246i | −0.200611 | − | 0.168333i | ||||
\(203\) | −3.78733 | − | 3.17795i | −0.265819 | − | 0.223048i | ||||
\(204\) | 6.54024 | + | 3.00898i | 0.457908 | + | 0.210671i | ||||
\(205\) | 1.79500 | + | 0.653326i | 0.125368 | + | 0.0456302i | ||||
\(206\) | −0.155010 | + | 0.268486i | −0.0108001 | + | 0.0187063i | ||||
\(207\) | −3.21597 | − | 8.56126i | −0.223525 | − | 0.595048i | ||||
\(208\) | −2.77925 | − | 4.81379i | −0.192706 | − | 0.333777i | ||||
\(209\) | 2.45660 | + | 13.9321i | 0.169926 | + | 0.963701i | ||||
\(210\) | 3.27213 | + | 0.269355i | 0.225799 | + | 0.0185872i | ||||
\(211\) | 0.710096 | − | 0.258454i | 0.0488850 | − | 0.0177927i | −0.317462 | − | 0.948271i | \(-0.602831\pi\) |
0.366347 | + | 0.930478i | \(0.380608\pi\) | |||||||
\(212\) | −0.221317 | + | 1.25515i | −0.0152001 | + | 0.0862041i | ||||
\(213\) | 1.70479 | − | 6.49558i | 0.116810 | − | 0.445070i | ||||
\(214\) | 9.10388 | − | 7.63906i | 0.622328 | − | 0.522195i | ||||
\(215\) | −17.1220 | −1.16771 | ||||||||
\(216\) | 5.03922 | + | 1.26740i | 0.342875 | + | 0.0862359i | ||||
\(217\) | −10.3503 | −0.702622 | ||||||||
\(218\) | −10.1779 | + | 8.54023i | −0.689331 | + | 0.578418i | ||||
\(219\) | −12.3274 | − | 12.2015i | −0.833009 | − | 0.824500i | ||||
\(220\) | −1.71663 | + | 9.73550i | −0.115735 | + | 0.656367i | ||||
\(221\) | 21.7104 | − | 7.90193i | 1.46040 | − | 0.531541i | ||||
\(222\) | 7.83659 | + | 16.5828i | 0.525958 | + | 1.11297i | ||||
\(223\) | −2.98689 | − | 16.9395i | −0.200017 | − | 1.13435i | −0.905091 | − | 0.425219i | \(-0.860197\pi\) |
0.705074 | − | 0.709134i | \(-0.250914\pi\) | |||||||
\(224\) | −0.500000 | − | 0.866025i | −0.0334077 | − | 0.0578638i | ||||
\(225\) | −1.40273 | + | 3.98066i | −0.0935151 | + | 0.265378i | ||||
\(226\) | −6.42076 | + | 11.1211i | −0.427102 | + | 0.739763i | ||||
\(227\) | 4.72912 | + | 1.72126i | 0.313883 | + | 0.114244i | 0.494158 | − | 0.869372i | \(-0.335476\pi\) |
−0.180275 | + | 0.983616i | \(0.557699\pi\) | |||||||
\(228\) | −3.83486 | + | 2.71464i | −0.253970 | + | 0.179782i | ||||
\(229\) | 20.7207 | + | 17.3867i | 1.36926 | + | 1.14894i | 0.973000 | + | 0.230806i | \(0.0741364\pi\) |
0.396260 | + | 0.918138i | \(0.370308\pi\) | |||||||
\(230\) | 4.42660 | + | 3.71436i | 0.291881 | + | 0.244918i | ||||
\(231\) | −0.833463 | − | 8.99443i | −0.0548378 | − | 0.591790i | ||||
\(232\) | 4.64585 | + | 1.69095i | 0.305015 | + | 0.111016i | ||||
\(233\) | −11.5197 | + | 19.9528i | −0.754682 | + | 1.30715i | 0.190850 | + | 0.981619i | \(0.438876\pi\) |
−0.945532 | + | 0.325529i | \(0.894458\pi\) | |||||||
\(234\) | 14.3550 | − | 8.48558i | 0.938417 | − | 0.554720i | ||||
\(235\) | 5.68705 | + | 9.85025i | 0.370982 | + | 0.642560i | ||||
\(236\) | 0.607620 | + | 3.44599i | 0.0395527 | + | 0.224315i | ||||
\(237\) | 9.58447 | − | 13.8387i | 0.622579 | − | 0.898922i | ||||
\(238\) | 3.90580 | − | 1.42160i | 0.253176 | − | 0.0921484i | ||||
\(239\) | −5.07323 | + | 28.7717i | −0.328160 | + | 1.86109i | 0.158306 | + | 0.987390i | \(0.449397\pi\) |
−0.486467 | + | 0.873699i | \(0.661714\pi\) | |||||||
\(240\) | −3.16693 | + | 0.866025i | −0.204424 | + | 0.0559017i | ||||
\(241\) | 6.13594 | − | 5.14866i | 0.395251 | − | 0.331655i | −0.423404 | − | 0.905941i | \(-0.639165\pi\) |
0.818654 | + | 0.574286i | \(0.194720\pi\) | |||||||
\(242\) | 16.1982 | 1.04126 | ||||||||
\(243\) | −3.64679 | + | 15.1559i | −0.233941 | + | 0.972251i | ||||
\(244\) | −13.8549 | −0.886971 | ||||||||
\(245\) | 1.45208 | − | 1.21844i | 0.0927701 | − | 0.0778433i | ||||
\(246\) | 1.68361 | − | 0.460399i | 0.107343 | − | 0.0293540i | ||||
\(247\) | −2.61831 | + | 14.8492i | −0.166599 | + | 0.944830i | ||||
\(248\) | 9.72606 | − | 3.54000i | 0.617606 | − | 0.224790i | ||||
\(249\) | −3.70742 | + | 5.35303i | −0.234948 | + | 0.339234i | ||||
\(250\) | −2.10888 | − | 11.9601i | −0.133377 | − | 0.756421i | ||||
\(251\) | −7.78091 | − | 13.4769i | −0.491126 | − | 0.850656i | 0.508821 | − | 0.860872i | \(-0.330081\pi\) |
−0.999948 | + | 0.0102162i | \(0.996748\pi\) | |||||||
\(252\) | 2.58254 | − | 1.52660i | 0.162685 | − | 0.0961666i | ||||
\(253\) | 7.94913 | − | 13.7683i | 0.499757 | − | 0.865605i | ||||
\(254\) | −4.91259 | − | 1.78804i | −0.308243 | − | 0.112191i | ||||
\(255\) | −1.25915 | − | 13.5883i | −0.0788511 | − | 0.850933i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −8.60939 | − | 7.22413i | −0.537039 | − | 0.450629i | 0.333485 | − | 0.942755i | \(-0.391775\pi\) |
−0.870524 | + | 0.492126i | \(0.836220\pi\) | |||||||
\(258\) | −12.7694 | + | 9.03931i | −0.794990 | + | 0.562763i | ||||
\(259\) | 9.95072 | + | 3.62177i | 0.618308 | + | 0.225046i | ||||
\(260\) | −5.26822 | + | 9.12483i | −0.326721 | + | 0.565898i | ||||
\(261\) | −4.92948 | + | 13.9889i | −0.305127 | + | 0.865891i | ||||
\(262\) | 2.78895 | + | 4.83059i | 0.172302 | + | 0.298435i | ||||
\(263\) | −3.12500 | − | 17.7228i | −0.192696 | − | 1.09283i | −0.915662 | − | 0.401949i | \(-0.868333\pi\) |
0.722966 | − | 0.690883i | \(-0.242778\pi\) | |||||||
\(264\) | 3.85948 | + | 8.16694i | 0.237534 | + | 0.502641i | ||||
\(265\) | 2.27022 | − | 0.826291i | 0.139458 | − | 0.0507587i | ||||
\(266\) | −0.471047 | + | 2.67144i | −0.0288817 | + | 0.163796i | ||||
\(267\) | 17.2057 | + | 17.0299i | 1.05297 | + | 1.04221i | ||||
\(268\) | 6.83683 | − | 5.73678i | 0.417626 | − | 0.350429i | ||||
\(269\) | 14.3946 | 0.877656 | 0.438828 | − | 0.898571i | \(-0.355394\pi\) | ||||
0.438828 | + | 0.898571i | \(0.355394\pi\) | |||||||
\(270\) | −2.69549 | − | 9.47360i | −0.164042 | − | 0.576545i | ||||
\(271\) | 0.498093 | 0.0302570 | 0.0151285 | − | 0.999886i | \(-0.495184\pi\) | ||||
0.0151285 | + | 0.999886i | \(0.495184\pi\) | |||||||
\(272\) | −3.18404 | + | 2.67173i | −0.193061 | + | 0.161997i | ||||
\(273\) | 2.44403 | − | 9.31221i | 0.147919 | − | 0.563600i | ||||
\(274\) | 3.02645 | − | 17.1639i | 0.182835 | − | 1.03691i | ||||
\(275\) | −6.89457 | + | 2.50942i | −0.415758 | + | 0.151324i | ||||
\(276\) | 5.26228 | + | 0.433178i | 0.316752 | + | 0.0260743i | ||||
\(277\) | −0.358695 | − | 2.03426i | −0.0215519 | − | 0.122227i | 0.972134 | − | 0.234427i | \(-0.0753214\pi\) |
−0.993686 | + | 0.112200i | \(0.964210\pi\) | |||||||
\(278\) | −1.13379 | − | 1.96378i | −0.0680000 | − | 0.117780i | ||||
\(279\) | 10.9190 | + | 29.0676i | 0.653705 | + | 1.74023i | ||||
\(280\) | −0.947779 | + | 1.64160i | −0.0566406 | + | 0.0981044i | ||||
\(281\) | 3.98743 | + | 1.45130i | 0.237870 | + | 0.0865776i | 0.458205 | − | 0.888847i | \(-0.348493\pi\) |
−0.220335 | + | 0.975424i | \(0.570715\pi\) | |||||||
\(282\) | 9.44167 | + | 4.34385i | 0.562243 | + | 0.258673i | ||||
\(283\) | −15.4012 | − | 12.9231i | −0.915503 | − | 0.768199i | 0.0576546 | − | 0.998337i | \(-0.481638\pi\) |
−0.973158 | + | 0.230138i | \(0.926082\pi\) | |||||||
\(284\) | 2.97014 | + | 2.49224i | 0.176245 | + | 0.147887i | ||||
\(285\) | 8.09096 | + | 3.72243i | 0.479267 | + | 0.220497i | ||||
\(286\) | 27.2403 | + | 9.91467i | 1.61076 | + | 0.586267i | ||||
\(287\) | 0.503861 | − | 0.872713i | 0.0297420 | − | 0.0515146i | ||||
\(288\) | −1.90466 | + | 2.31781i | −0.112233 | + | 0.136578i | ||||
\(289\) | −0.138122 | − | 0.239235i | −0.00812485 | − | 0.0140727i | ||||
\(290\) | −1.62737 | − | 9.22928i | −0.0955625 | − | 0.541962i | ||||
\(291\) | 1.95821 | + | 0.161195i | 0.114792 | + | 0.00944944i | ||||
\(292\) | 9.41009 | − | 3.42499i | 0.550684 | − | 0.200433i | ||||
\(293\) | −4.25843 | + | 24.1508i | −0.248780 | + | 1.41090i | 0.562766 | + | 0.826616i | \(0.309737\pi\) |
−0.811547 | + | 0.584287i | \(0.801374\pi\) | |||||||
\(294\) | 0.439693 | − | 1.67531i | 0.0256434 | − | 0.0977062i | ||||
\(295\) | 5.08105 | − | 4.26350i | 0.295830 | − | 0.248231i | ||||
\(296\) | −10.5893 | −0.615492 | ||||||||
\(297\) | −24.3807 | + | 11.8294i | −1.41471 | + | 0.686411i | ||||
\(298\) | 0.551799 | 0.0319648 | ||||||||
\(299\) | 12.9805 | − | 10.8919i | 0.750680 | − | 0.629895i | ||||
\(300\) | −1.73187 | − | 1.71418i | −0.0999895 | − | 0.0989681i | ||||
\(301\) | −1.56851 | + | 8.89545i | −0.0904073 | + | 0.512725i | ||||
\(302\) | −14.4242 | + | 5.24999i | −0.830021 | + | 0.302103i | ||||
\(303\) | 2.75446 | + | 5.82863i | 0.158239 | + | 0.334846i | ||||
\(304\) | −0.471047 | − | 2.67144i | −0.0270164 | − | 0.153218i | ||||
\(305\) | 13.1314 | + | 22.7443i | 0.751902 | + | 1.30233i | ||||
\(306\) | −8.11284 | − | 9.46932i | −0.463780 | − | 0.541325i | ||||
\(307\) | 3.13404 | − | 5.42832i | 0.178869 | − | 0.309811i | −0.762624 | − | 0.646842i | \(-0.776089\pi\) |
0.941494 | + | 0.337031i | \(0.109423\pi\) | |||||||
\(308\) | 4.90067 | + | 1.78370i | 0.279242 | + | 0.101636i | ||||
\(309\) | 0.438274 | − | 0.310248i | 0.0249325 | − | 0.0176494i | ||||
\(310\) | −15.0294 | − | 12.6112i | −0.853614 | − | 0.716267i | ||||
\(311\) | −2.68637 | − | 2.25413i | −0.152330 | − | 0.127820i | 0.563437 | − | 0.826159i | \(-0.309479\pi\) |
−0.715768 | + | 0.698339i | \(0.753923\pi\) | |||||||
\(312\) | 0.888328 | + | 9.58652i | 0.0502917 | + | 0.542730i | ||||
\(313\) | −29.6417 | − | 10.7887i | −1.67545 | − | 0.609813i | −0.682773 | − | 0.730630i | \(-0.739226\pi\) |
−0.992675 | + | 0.120817i | \(0.961449\pi\) | |||||||
\(314\) | 5.77695 | − | 10.0060i | 0.326012 | − | 0.564670i | ||||
\(315\) | −4.95374 | − | 2.79262i | −0.279112 | − | 0.157346i | ||||
\(316\) | 4.85946 | + | 8.41683i | 0.273366 | + | 0.473484i | ||||
\(317\) | 5.25323 | + | 29.7925i | 0.295051 | + | 1.67332i | 0.666996 | + | 0.745061i | \(0.267580\pi\) |
−0.371945 | + | 0.928255i | \(0.621309\pi\) | |||||||
\(318\) | 1.25688 | − | 1.81477i | 0.0704825 | − | 0.101767i | ||||
\(319\) | −24.2290 | + | 8.81863i | −1.35656 | + | 0.493748i | ||||
\(320\) | 0.329160 | − | 1.86676i | 0.0184006 | − | 0.104355i | ||||
\(321\) | −19.8552 | + | 5.42958i | −1.10821 | + | 0.303049i | ||||
\(322\) | 2.33525 | − | 1.95951i | 0.130138 | − | 0.109199i | ||||
\(323\) | 11.2751 | 0.627361 | ||||||||
\(324\) | −7.01174 | − | 5.64230i | −0.389541 | − | 0.313461i | ||||
\(325\) | −7.82002 | −0.433777 | ||||||||
\(326\) | −5.61333 | + | 4.71015i | −0.310894 | + | 0.260871i | ||||
\(327\) | 22.1975 | − | 6.07010i | 1.22752 | − | 0.335677i | ||||
\(328\) | −0.174989 | + | 0.992413i | −0.00966216 | + | 0.0547968i | ||||
\(329\) | 5.63853 | − | 2.05226i | 0.310862 | − | 0.113145i | ||||
\(330\) | 9.74893 | − | 14.0762i | 0.536661 | − | 0.774868i | ||||
\(331\) | −3.79018 | − | 21.4952i | −0.208327 | − | 1.18148i | −0.892118 | − | 0.451803i | \(-0.850781\pi\) |
0.683791 | − | 0.729678i | \(-0.260330\pi\) | |||||||
\(332\) | −1.87971 | − | 3.25576i | −0.103163 | − | 0.178683i | ||||
\(333\) | −0.326184 | − | 31.7663i | −0.0178748 | − | 1.74078i | ||||
\(334\) | 0.579413 | − | 1.00357i | 0.0317041 | − | 0.0549130i | ||||
\(335\) | −15.8973 | − | 5.78614i | −0.868562 | − | 0.316131i | ||||
\(336\) | 0.159815 | + | 1.72466i | 0.00871860 | + | 0.0940880i | ||||
\(337\) | −5.59205 | − | 4.69228i | −0.304618 | − | 0.255605i | 0.477645 | − | 0.878553i | \(-0.341490\pi\) |
−0.782263 | + | 0.622948i | \(0.785935\pi\) | |||||||
\(338\) | 13.7098 | + | 11.5039i | 0.745713 | + | 0.625727i | ||||
\(339\) | 18.1540 | − | 12.8509i | 0.985988 | − | 0.697967i | ||||
\(340\) | 7.40368 | + | 2.69472i | 0.401521 | + | 0.146142i | ||||
\(341\) | −26.9893 | + | 46.7468i | −1.46155 | + | 2.53148i | ||||
\(342\) | 7.99939 | − | 1.49535i | 0.432557 | − | 0.0808595i | ||||
\(343\) | −0.500000 | − | 0.866025i | −0.0269975 | − | 0.0467610i | ||||
\(344\) | −1.56851 | − | 8.89545i | −0.0845682 | − | 0.479610i | ||||
\(345\) | −4.27637 | − | 9.04912i | −0.230232 | − | 0.487188i | ||||
\(346\) | −16.9085 | + | 6.15418i | −0.909006 | + | 0.330851i | ||||
\(347\) | −2.40536 | + | 13.6415i | −0.129126 | + | 0.732312i | 0.849645 | + | 0.527356i | \(0.176816\pi\) |
−0.978771 | + | 0.204957i | \(0.934295\pi\) | |||||||
\(348\) | −6.08616 | − | 6.02399i | −0.326252 | − | 0.322919i | ||||
\(349\) | −1.42764 | + | 1.19793i | −0.0764197 | + | 0.0641237i | −0.680197 | − | 0.733029i | \(-0.738106\pi\) |
0.603778 | + | 0.797153i | \(0.293661\pi\) | |||||||
\(350\) | −1.40686 | −0.0751999 | ||||||||
\(351\) | −28.7307 | + | 2.96014i | −1.53353 | + | 0.158000i | ||||
\(352\) | −5.21519 | −0.277970 | ||||||||
\(353\) | 8.01636 | − | 6.72652i | 0.426668 | − | 0.358017i | −0.404025 | − | 0.914748i | \(-0.632389\pi\) |
0.830693 | + | 0.556731i | \(0.187945\pi\) | |||||||
\(354\) | 1.53855 | − | 5.86216i | 0.0817729 | − | 0.311570i | ||||
\(355\) | 1.27623 | − | 7.23787i | 0.0677354 | − | 0.384146i | ||||
\(356\) | −13.1339 | + | 4.78034i | −0.696095 | + | 0.253358i | ||||
\(357\) | −7.17495 | − | 0.590625i | −0.379739 | − | 0.0312592i | ||||
\(358\) | −0.511826 | − | 2.90271i | −0.0270509 | − | 0.153413i | ||||
\(359\) | −14.0935 | − | 24.4106i | −0.743825 | − | 1.28834i | −0.950742 | − | 0.309984i | \(-0.899676\pi\) |
0.206917 | − | 0.978359i | \(-0.433657\pi\) | |||||||
\(360\) | 5.61012 | + | 0.929926i | 0.295679 | + | 0.0490114i | ||||
\(361\) | 5.82076 | − | 10.0819i | 0.306356 | − | 0.530624i | ||||
\(362\) | −12.8123 | − | 4.66331i | −0.673401 | − | 0.245098i | ||||
\(363\) | −25.4880 | − | 11.7263i | −1.33777 | − | 0.615471i | ||||
\(364\) | 4.25805 | + | 3.57293i | 0.223183 | + | 0.187272i | ||||
\(365\) | −14.5412 | − | 12.2015i | −0.761119 | − | 0.638655i | ||||
\(366\) | 21.8008 | + | 10.0300i | 1.13955 | + | 0.524274i | ||||
\(367\) | −3.14417 | − | 1.14438i | −0.164124 | − | 0.0597363i | 0.258651 | − | 0.965971i | \(-0.416722\pi\) |
−0.422776 | + | 0.906234i | \(0.638944\pi\) | |||||||
\(368\) | −1.52423 | + | 2.64004i | −0.0794558 | + | 0.137621i | ||||
\(369\) | −2.98247 | − | 0.494371i | −0.155261 | − | 0.0257359i | ||||
\(370\) | 10.0363 | + | 17.3835i | 0.521765 | + | 0.903723i | ||||
\(371\) | −0.221317 | − | 1.25515i | −0.0114902 | − | 0.0651642i | ||||
\(372\) | −17.8667 | − | 1.47075i | −0.926348 | − | 0.0762548i | ||||
\(373\) | −14.8122 | + | 5.39119i | −0.766945 | + | 0.279145i | −0.695718 | − | 0.718315i | \(-0.744914\pi\) |
−0.0712272 | + | 0.997460i | \(0.522692\pi\) | |||||||
\(374\) | 3.76413 | − | 21.3474i | 0.194639 | − | 1.10385i | ||||
\(375\) | −5.33988 | + | 20.3460i | −0.275750 | + | 1.05066i | ||||
\(376\) | −4.59657 | + | 3.85698i | −0.237050 | + | 0.198908i | ||||
\(377\) | −27.4812 | −1.41536 | ||||||||
\(378\) | −5.16879 | + | 0.532543i | −0.265854 | + | 0.0273911i | ||||
\(379\) | −8.90527 | −0.457433 | −0.228716 | − | 0.973493i | \(-0.573453\pi\) | ||||
−0.228716 | + | 0.973493i | \(0.573453\pi\) | |||||||
\(380\) | −3.93899 | + | 3.30521i | −0.202066 | + | 0.169553i | ||||
\(381\) | 6.43560 | + | 6.36985i | 0.329706 | + | 0.326337i | ||||
\(382\) | −0.880388 | + | 4.99293i | −0.0450445 | + | 0.255460i | ||||
\(383\) | 5.35349 | − | 1.94851i | 0.273551 | − | 0.0995643i | −0.201602 | − | 0.979467i | \(-0.564615\pi\) |
0.475153 | + | 0.879903i | \(0.342393\pi\) | |||||||
\(384\) | −0.740046 | − | 1.56599i | −0.0377653 | − | 0.0799142i | ||||
\(385\) | −1.71663 | − | 9.73550i | −0.0874876 | − | 0.496167i | ||||
\(386\) | −8.55517 | − | 14.8180i | −0.435447 | − | 0.754216i | ||||
\(387\) | 26.6366 | − | 4.97928i | 1.35402 | − | 0.253111i | ||||
\(388\) | −0.567199 | + | 0.982417i | −0.0287951 | + | 0.0498747i | ||||
\(389\) | −6.78624 | − | 2.46999i | −0.344076 | − | 0.125233i | 0.164201 | − | 0.986427i | \(-0.447495\pi\) |
−0.508277 | + | 0.861193i | \(0.669717\pi\) | |||||||
\(390\) | 14.8953 | − | 10.5442i | 0.754253 | − | 0.533925i | ||||
\(391\) | −9.70640 | − | 8.14464i | −0.490874 | − | 0.411892i | ||||
\(392\) | 0.766044 | + | 0.642788i | 0.0386911 | + | 0.0324657i | ||||
\(393\) | −0.891428 | − | 9.61998i | −0.0449666 | − | 0.485264i | ||||
\(394\) | −0.520014 | − | 0.189270i | −0.0261979 | − | 0.00953527i | ||||
\(395\) | 9.21139 | − | 15.9546i | 0.463475 | − | 0.802763i | ||||
\(396\) | −0.160644 | − | 15.6447i | −0.00807266 | − | 0.786178i | ||||
\(397\) | 5.50881 | + | 9.54154i | 0.276479 | + | 0.478876i | 0.970507 | − | 0.241072i | \(-0.0774989\pi\) |
−0.694028 | + | 0.719948i | \(0.744166\pi\) | |||||||
\(398\) | −0.722683 | − | 4.09854i | −0.0362248 | − | 0.205441i | ||||
\(399\) | 2.67513 | − | 3.86253i | 0.133924 | − | 0.193368i | ||||
\(400\) | 1.32202 | − | 0.481175i | 0.0661008 | − | 0.0240587i | ||||
\(401\) | 3.62789 | − | 20.5748i | 0.181168 | − | 1.02746i | −0.749612 | − | 0.661877i | \(-0.769760\pi\) |
0.930780 | − | 0.365579i | \(-0.119129\pi\) | |||||||
\(402\) | −14.9108 | + | 4.07750i | −0.743684 | + | 0.203367i | ||||
\(403\) | −44.0719 | + | 36.9808i | −2.19538 | + | 1.84214i | ||||
\(404\) | −3.72201 | −0.185177 | ||||||||
\(405\) | −2.61682 | + | 16.8581i | −0.130031 | + | 0.837687i | ||||
\(406\) | −4.94401 | −0.245367 | ||||||||
\(407\) | 42.3051 | − | 35.4982i | 2.09698 | − | 1.75958i | ||||
\(408\) | 6.94425 | − | 1.89897i | 0.343792 | − | 0.0940131i | ||||
\(409\) | 2.99994 | − | 17.0135i | 0.148337 | − | 0.841263i | −0.816289 | − | 0.577643i | \(-0.803972\pi\) |
0.964627 | − | 0.263620i | \(-0.0849164\pi\) | |||||||
\(410\) | 1.79500 | − | 0.653326i | 0.0886486 | − | 0.0322655i | ||||
\(411\) | −17.1875 | + | 24.8165i | −0.847799 | + | 1.22411i | ||||
\(412\) | 0.0538345 | + | 0.305310i | 0.00265223 | + | 0.0150416i | ||||
\(413\) | −1.74957 | − | 3.03035i | −0.0860909 | − | 0.149114i | ||||
\(414\) | −7.96665 | − | 4.49112i | −0.391539 | − | 0.220726i | ||||
\(415\) | −3.56310 | + | 6.17148i | −0.174906 | + | 0.302946i | ||||
\(416\) | −5.22327 | − | 1.90112i | −0.256092 | − | 0.0932099i | ||||
\(417\) | 0.362391 | + | 3.91080i | 0.0177464 | + | 0.191513i | ||||
\(418\) | 10.8372 | + | 9.09351i | 0.530066 | + | 0.444778i | ||||
\(419\) | 8.67727 | + | 7.28110i | 0.423913 | + | 0.355705i | 0.829649 | − | 0.558285i | \(-0.188541\pi\) |
−0.405737 | + | 0.913990i | \(0.632985\pi\) | |||||||
\(420\) | 2.67974 | − | 1.89695i | 0.130758 | − | 0.0925617i | ||||
\(421\) | 11.0051 | + | 4.00554i | 0.536358 | + | 0.195218i | 0.595975 | − | 0.803003i | \(-0.296766\pi\) |
−0.0596172 | + | 0.998221i | \(0.518988\pi\) | |||||||
\(422\) | 0.377834 | − | 0.654428i | 0.0183927 | − | 0.0318571i | ||||
\(423\) | −11.7119 | − | 13.6702i | −0.569453 | − | 0.664666i | ||||
\(424\) | 0.637257 | + | 1.10376i | 0.0309479 | + | 0.0536034i | ||||
\(425\) | 1.01542 | + | 5.75874i | 0.0492552 | + | 0.279340i | ||||
\(426\) | −2.86933 | − | 6.07172i | −0.139020 | − | 0.294176i | ||||
\(427\) | 13.0194 | − | 4.73866i | 0.630051 | − | 0.229320i | ||||
\(428\) | 2.06368 | − | 11.7037i | 0.0997518 | − | 0.565721i | ||||
\(429\) | −35.6854 | − | 35.3209i | −1.72291 | − | 1.70531i | ||||
\(430\) | −13.1162 | + | 11.0058i | −0.632518 | + | 0.530746i | ||||
\(431\) | −30.2845 | −1.45875 | −0.729376 | − | 0.684113i | \(-0.760190\pi\) | ||||
−0.729376 | + | 0.684113i | \(0.760190\pi\) | |||||||
\(432\) | 4.67493 | − | 2.26826i | 0.224923 | − | 0.109132i | ||||
\(433\) | −2.45937 | −0.118190 | −0.0590949 | − | 0.998252i | \(-0.518821\pi\) | ||||
−0.0590949 | + | 0.998252i | \(0.518821\pi\) | |||||||
\(434\) | −7.92876 | + | 6.65302i | −0.380593 | + | 0.319355i | ||||
\(435\) | −4.12065 | + | 15.7004i | −0.197570 | + | 0.752779i | ||||
\(436\) | −2.30713 | + | 13.0844i | −0.110492 | + | 0.626629i | ||||
\(437\) | 7.77068 | − | 2.82830i | 0.371722 | − | 0.135296i | ||||
\(438\) | −17.2863 | − | 1.42297i | −0.825972 | − | 0.0679921i | ||||
\(439\) | 0.684779 | + | 3.88358i | 0.0326827 | + | 0.185353i | 0.996779 | − | 0.0802011i | \(-0.0255562\pi\) |
−0.964096 | + | 0.265554i | \(0.914445\pi\) | |||||||
\(440\) | 4.94284 | + | 8.56126i | 0.235641 | + | 0.408142i | ||||
\(441\) | −1.90466 | + | 2.31781i | −0.0906983 | + | 0.110372i | ||||
\(442\) | 11.5519 | − | 20.0084i | 0.549466 | − | 0.951702i | ||||
\(443\) | 28.8433 | + | 10.4981i | 1.37039 | + | 0.498781i | 0.919250 | − | 0.393673i | \(-0.128796\pi\) |
0.451138 | + | 0.892454i | \(0.351018\pi\) | |||||||
\(444\) | 16.6624 | + | 7.66591i | 0.790763 | + | 0.363808i | ||||
\(445\) | 20.2954 | + | 17.0299i | 0.962096 | + | 0.807294i | ||||
\(446\) | −13.1766 | − | 11.0565i | −0.623930 | − | 0.523539i | ||||
\(447\) | −0.868260 | − | 0.399462i | −0.0410673 | − | 0.0188939i | ||||
\(448\) | −0.939693 | − | 0.342020i | −0.0443963 | − | 0.0161589i | ||||
\(449\) | 0.113719 | − | 0.196967i | 0.00536673 | − | 0.00929545i | −0.863330 | − | 0.504641i | \(-0.831625\pi\) |
0.868696 | + | 0.495345i | \(0.164958\pi\) | |||||||
\(450\) | 1.48417 | + | 3.95102i | 0.0699645 | + | 0.186253i | ||||
\(451\) | −2.62773 | − | 4.55136i | −0.123735 | − | 0.214315i | ||||
\(452\) | 2.22991 | + | 12.6464i | 0.104886 | + | 0.594838i | ||||
\(453\) | 26.4972 | + | 2.18119i | 1.24495 | + | 0.102481i | ||||
\(454\) | 4.72912 | − | 1.72126i | 0.221949 | − | 0.0807828i | ||||
\(455\) | 1.82963 | − | 10.3764i | 0.0857745 | − | 0.486452i | ||||
\(456\) | −1.19273 | + | 4.54454i | −0.0558548 | + | 0.212817i | ||||
\(457\) | 5.57486 | − | 4.67786i | 0.260781 | − | 0.218821i | −0.503017 | − | 0.864276i | \(-0.667777\pi\) |
0.763798 | + | 0.645455i | \(0.223332\pi\) | |||||||
\(458\) | 27.0489 | 1.26391 | ||||||||
\(459\) | 5.91052 | + | 20.7732i | 0.275879 | + | 0.969608i | ||||
\(460\) | 5.77852 | 0.269425 | ||||||||
\(461\) | −8.11642 | + | 6.81049i | −0.378019 | + | 0.317196i | −0.811924 | − | 0.583763i | \(-0.801580\pi\) |
0.433905 | + | 0.900959i | \(0.357135\pi\) | |||||||
\(462\) | −6.41998 | − | 6.35440i | −0.298685 | − | 0.295633i | ||||
\(463\) | 2.36174 | − | 13.3941i | 0.109759 | − | 0.622475i | −0.879453 | − | 0.475986i | \(-0.842091\pi\) |
0.989212 | − | 0.146490i | \(-0.0467975\pi\) | |||||||
\(464\) | 4.64585 | − | 1.69095i | 0.215678 | − | 0.0785004i | ||||
\(465\) | 14.5193 | + | 30.7240i | 0.673318 | + | 1.42479i | ||||
\(466\) | 4.00076 | + | 22.6894i | 0.185332 | + | 1.05107i | ||||
\(467\) | −13.4701 | − | 23.3310i | −0.623323 | − | 1.07963i | −0.988863 | − | 0.148832i | \(-0.952449\pi\) |
0.365539 | − | 0.930796i | \(-0.380885\pi\) | |||||||
\(468\) | 5.54215 | − | 15.7276i | 0.256186 | − | 0.727006i | ||||
\(469\) | −4.46242 | + | 7.72914i | −0.206055 | + | 0.356899i | ||||
\(470\) | 10.6882 | + | 3.89017i | 0.493008 | + | 0.179440i | ||||
\(471\) | −16.3337 | + | 11.5624i | −0.752617 | + | 0.532767i | ||||
\(472\) | 2.68050 | + | 2.24921i | 0.123380 | + | 0.103528i | ||||
\(473\) | 36.0861 | + | 30.2798i | 1.65924 | + | 1.39227i | ||||
\(474\) | −1.55323 | − | 16.7619i | −0.0713420 | − | 0.769898i | ||||
\(475\) | −3.58617 | − | 1.30526i | −0.164545 | − | 0.0598894i | ||||
\(476\) | 2.07824 | − | 3.59961i | 0.0952558 | − | 0.164988i | ||||
\(477\) | −3.29148 | + | 1.94567i | −0.150706 | + | 0.0890860i | ||||
\(478\) | 14.6078 | + | 25.3014i | 0.668145 | + | 1.15726i | ||||
\(479\) | 5.36246 | + | 30.4120i | 0.245017 | + | 1.38956i | 0.820453 | + | 0.571714i | \(0.193721\pi\) |
−0.575436 | + | 0.817847i | \(0.695167\pi\) | |||||||
\(480\) | −1.86934 | + | 2.69907i | −0.0853231 | + | 0.123195i | ||||
\(481\) | 55.3110 | − | 20.1315i | 2.52196 | − | 0.917920i | ||||
\(482\) | 1.39090 | − | 7.88821i | 0.0633540 | − | 0.359298i | ||||
\(483\) | −5.09308 | + | 1.39275i | −0.231743 | + | 0.0633723i | ||||
\(484\) | 12.4085 | − | 10.4120i | 0.564024 | − | 0.473272i | ||||
\(485\) | 2.15032 | 0.0976408 | ||||||||
\(486\) | 6.94842 | + | 13.9542i | 0.315187 | + | 0.632975i | ||||
\(487\) | −2.33261 | −0.105701 | −0.0528504 | − | 0.998602i | \(-0.516831\pi\) | ||||
−0.0528504 | + | 0.998602i | \(0.516831\pi\) | |||||||
\(488\) | −10.6135 | + | 8.90577i | −0.480450 | + | 0.403145i | ||||
\(489\) | 12.2424 | − | 3.34781i | 0.553622 | − | 0.151393i | ||||
\(490\) | 0.329160 | − | 1.86676i | 0.0148699 | − | 0.0843316i | ||||
\(491\) | −22.3025 | + | 8.11744i | −1.00650 | + | 0.366335i | −0.792087 | − | 0.610409i | \(-0.791005\pi\) |
−0.214410 | + | 0.976744i | \(0.568783\pi\) | |||||||
\(492\) | 0.993782 | − | 1.43489i | 0.0448032 | − | 0.0646899i | ||||
\(493\) | 3.56841 | + | 20.2374i | 0.160713 | + | 0.911448i | ||||
\(494\) | 7.53912 | + | 13.0581i | 0.339201 | + | 0.587514i | ||||
\(495\) | −25.5302 | + | 15.0915i | −1.14750 | + | 0.678311i | ||||
\(496\) | 5.17513 | − | 8.96359i | 0.232370 | − | 0.402477i | ||||
\(497\) | −3.64341 | − | 1.32609i | −0.163429 | − | 0.0594834i | ||||
\(498\) | 0.600811 | + | 6.48374i | 0.0269230 | + | 0.290543i | ||||
\(499\) | 4.50898 | + | 3.78348i | 0.201850 | + | 0.169372i | 0.738109 | − | 0.674681i | \(-0.235719\pi\) |
−0.536260 | + | 0.844053i | \(0.680163\pi\) | |||||||
\(500\) | −9.30328 | − | 7.80638i | −0.416056 | − | 0.349112i | ||||
\(501\) | −1.63822 | + | 1.15968i | −0.0731905 | + | 0.0518105i | ||||
\(502\) | −14.6233 | − | 5.32245i | −0.652671 | − | 0.237553i | ||||
\(503\) | 20.4763 | − | 35.4659i | 0.912991 | − | 1.58135i | 0.103176 | − | 0.994663i | \(-0.467100\pi\) |
0.809816 | − | 0.586684i | \(-0.199567\pi\) | |||||||
\(504\) | 0.997061 | − | 2.82946i | 0.0444126 | − | 0.126034i | ||||
\(505\) | 3.52764 | + | 6.11005i | 0.156978 | + | 0.271894i | ||||
\(506\) | −2.76070 | − | 15.6567i | −0.122728 | − | 0.696026i | ||||
\(507\) | −13.2445 | − | 28.0263i | −0.588207 | − | 1.24469i | ||||
\(508\) | −4.91259 | + | 1.78804i | −0.217961 | + | 0.0793313i | ||||
\(509\) | 1.15295 | − | 6.53872i | 0.0511037 | − | 0.289823i | −0.948536 | − | 0.316670i | \(-0.897435\pi\) |
0.999640 | + | 0.0268462i | \(0.00854644\pi\) | |||||||
\(510\) | −9.69897 | − | 9.59989i | −0.429478 | − | 0.425090i | ||||
\(511\) | −7.67118 | + | 6.43688i | −0.339353 | + | 0.284751i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −13.6696 | − | 3.43802i | −0.603529 | − | 0.151792i | ||||
\(514\) | −11.2388 | −0.495720 | ||||||||
\(515\) | 0.450175 | − | 0.377742i | 0.0198371 | − | 0.0166453i | ||||
\(516\) | −3.97160 | + | 15.1325i | −0.174840 | + | 0.666173i | ||||
\(517\) | 5.43400 | − | 30.8178i | 0.238987 | − | 1.35536i | ||||
\(518\) | 9.95072 | − | 3.62177i | 0.437209 | − | 0.159131i | ||||
\(519\) | 31.0608 | + | 2.55686i | 1.36342 | + | 0.112234i | ||||
\(520\) | 1.82963 | + | 10.3764i | 0.0802347 | + | 0.455034i | ||||
\(521\) | 8.26758 | + | 14.3199i | 0.362209 | + | 0.627365i | 0.988324 | − | 0.152366i | \(-0.0486892\pi\) |
−0.626115 | + | 0.779731i | \(0.715356\pi\) | |||||||
\(522\) | 5.21569 | + | 13.8847i | 0.228285 | + | 0.607718i | ||||
\(523\) | 10.7884 | − | 18.6861i | 0.471744 | − | 0.817084i | −0.527734 | − | 0.849410i | \(-0.676958\pi\) |
0.999477 | + | 0.0323257i | \(0.0102914\pi\) | |||||||
\(524\) | 5.24150 | + | 1.90775i | 0.228976 | + | 0.0833405i | ||||
\(525\) | 2.21371 | + | 1.01847i | 0.0966141 | + | 0.0444495i | ||||
\(526\) | −13.7859 | − | 11.5677i | −0.601092 | − | 0.504376i | ||||
\(527\) | 32.9557 | + | 27.6531i | 1.43557 | + | 1.20459i | ||||
\(528\) | 8.20614 | + | 3.77542i | 0.357126 | + | 0.164304i | ||||
\(529\) | 12.8803 | + | 4.68805i | 0.560013 | + | 0.203828i | ||||
\(530\) | 1.20796 | − | 2.09224i | 0.0524703 | − | 0.0908812i | ||||
\(531\) | −6.66470 | + | 8.11036i | −0.289223 | + | 0.351960i | ||||
\(532\) | 1.35633 | + | 2.34922i | 0.0588042 | + | 0.101852i | ||||
\(533\) | −0.972676 | − | 5.51632i | −0.0421313 | − | 0.238938i | ||||
\(534\) | 24.1269 | + | 1.98607i | 1.04407 | + | 0.0859457i | ||||
\(535\) | −21.1688 | + | 7.70479i | −0.915205 | + | 0.333107i | ||||
\(536\) | 1.54978 | − | 8.78925i | 0.0669404 | − | 0.379638i | ||||
\(537\) | −1.29599 | + | 4.93797i | −0.0559261 | + | 0.213089i | ||||
\(538\) | 11.0269 | − | 9.25269i | 0.475405 | − | 0.398912i | ||||
\(539\) | −5.21519 | −0.224634 | ||||||||
\(540\) | −8.15438 | − | 5.52457i | −0.350909 | − | 0.237740i | ||||
\(541\) | −16.5181 | −0.710168 | −0.355084 | − | 0.934834i | \(-0.615548\pi\) | ||||
−0.355084 | + | 0.934834i | \(0.615548\pi\) | |||||||
\(542\) | 0.381561 | − | 0.320168i | 0.0163895 | − | 0.0137524i | ||||
\(543\) | 16.7844 | + | 16.6130i | 0.720288 | + | 0.712930i | ||||
\(544\) | −0.721763 | + | 4.09332i | −0.0309454 | + | 0.175500i | ||||
\(545\) | 23.6660 | − | 8.61372i | 1.01374 | − | 0.368971i | ||||
\(546\) | −4.11354 | − | 8.70455i | −0.176043 | − | 0.372521i | ||||
\(547\) | 3.76845 | + | 21.3720i | 0.161127 | + | 0.913799i | 0.952968 | + | 0.303071i | \(0.0980120\pi\) |
−0.791841 | + | 0.610728i | \(0.790877\pi\) | |||||||
\(548\) | −8.71432 | − | 15.0936i | −0.372257 | − | 0.644769i | ||||
\(549\) | −27.0428 | − | 31.5645i | −1.15416 | − | 1.34714i | ||||
\(550\) | −3.66852 | + | 6.35407i | −0.156426 | + | 0.270938i | ||||
\(551\) | −12.6026 | − | 4.58696i | −0.536888 | − | 0.195411i | ||||
\(552\) | 4.30958 | − | 3.05069i | 0.183428 | − | 0.129846i | ||||
\(553\) | −7.44513 | − | 6.24720i | −0.316599 | − | 0.265658i | ||||
\(554\) | −1.58237 | − | 1.32777i | −0.0672287 | − | 0.0564115i | ||||
\(555\) | −3.20791 | − | 34.6186i | −0.136168 | − | 1.46948i | ||||
\(556\) | −2.13082 | − | 0.775556i | −0.0903670 | − | 0.0328909i | ||||
\(557\) | 10.5893 | − | 18.3412i | 0.448683 | − | 0.777142i | −0.549617 | − | 0.835417i | \(-0.685226\pi\) |
0.998301 | + | 0.0582743i | \(0.0185598\pi\) | |||||||
\(558\) | 27.0488 | + | 15.2485i | 1.14507 | + | 0.645519i | ||||
\(559\) | 25.1040 | + | 43.4814i | 1.06179 | + | 1.83907i | ||||
\(560\) | 0.329160 | + | 1.86676i | 0.0139096 | + | 0.0788850i | ||||
\(561\) | −21.3769 | + | 30.8654i | −0.902533 | + | 1.30314i | ||||
\(562\) | 3.98743 | − | 1.45130i | 0.168199 | − | 0.0612196i | ||||
\(563\) | −3.43969 | + | 19.5075i | −0.144966 | + | 0.822141i | 0.822429 | + | 0.568868i | \(0.192618\pi\) |
−0.967395 | + | 0.253273i | \(0.918493\pi\) | |||||||
\(564\) | 10.0249 | − | 2.74141i | 0.422125 | − | 0.115434i | ||||
\(565\) | 18.6469 | − | 15.6466i | 0.784482 | − | 0.658258i | ||||
\(566\) | −20.1048 | −0.845067 | ||||||||
\(567\) | 8.51866 | + | 2.90387i | 0.357750 | + | 0.121951i | ||||
\(568\) | 3.87724 | 0.162685 | ||||||||
\(569\) | 15.3941 | − | 12.9172i | 0.645355 | − | 0.541517i | −0.260302 | − | 0.965527i | \(-0.583822\pi\) |
0.905658 | + | 0.424010i | \(0.139378\pi\) | |||||||
\(570\) | 8.59076 | − | 2.34922i | 0.359828 | − | 0.0983982i | ||||
\(571\) | −5.81283 | + | 32.9662i | −0.243260 | + | 1.37959i | 0.581241 | + | 0.813732i | \(0.302567\pi\) |
−0.824500 | + | 0.565862i | \(0.808544\pi\) | |||||||
\(572\) | 27.2403 | − | 9.91467i | 1.13898 | − | 0.414553i | ||||
\(573\) | 4.99981 | − | 7.21907i | 0.208870 | − | 0.301581i | ||||
\(574\) | −0.174989 | − | 0.992413i | −0.00730391 | − | 0.0414225i | ||||
\(575\) | 2.14437 | + | 3.71417i | 0.0894266 | + | 0.154891i | ||||
\(576\) | 0.0308031 | + | 2.99984i | 0.00128346 | + | 0.124993i | ||||
\(577\) | 11.5217 | − | 19.9561i | 0.479654 | − | 0.830784i | −0.520074 | − | 0.854121i | \(-0.674096\pi\) |
0.999728 | + | 0.0233368i | \(0.00742900\pi\) | |||||||
\(578\) | −0.259585 | − | 0.0944813i | −0.0107973 | − | 0.00392991i | ||||
\(579\) | 2.73448 | + | 29.5096i | 0.113641 | + | 1.22638i | ||||
\(580\) | −7.17911 | − | 6.02399i | −0.298096 | − | 0.250132i | ||||
\(581\) | 2.87989 | + | 2.41651i | 0.119478 | + | 0.100254i | ||||
\(582\) | 1.60369 | − | 1.13523i | 0.0664751 | − | 0.0470568i | ||||
\(583\) | −6.24597 | − | 2.27335i | −0.258682 | − | 0.0941525i | ||||
\(584\) | 5.00701 | − | 8.67239i | 0.207191 | − | 0.358866i | ||||
\(585\) | −31.0711 | + | 5.80824i | −1.28463 | + | 0.240141i | ||||
\(586\) | 12.2617 | + | 21.2378i | 0.506525 | + | 0.877327i | ||||
\(587\) | 2.43414 | + | 13.8047i | 0.100468 | + | 0.569780i | 0.992934 | + | 0.118666i | \(0.0378619\pi\) |
−0.892467 | + | 0.451113i | \(0.851027\pi\) | |||||||
\(588\) | −0.740046 | − | 1.56599i | −0.0305190 | − | 0.0645804i | ||||
\(589\) | −26.3834 | + | 9.60278i | −1.08711 | + | 0.395676i | ||||
\(590\) | 1.15178 | − | 6.53207i | 0.0474180 | − | 0.268921i | ||||
\(591\) | 0.681229 | + | 0.674270i | 0.0280220 | + | 0.0277358i | ||||
\(592\) | −8.11190 | + | 6.80669i | −0.333397 | + | 0.279753i | ||||
\(593\) | 13.5978 | 0.558396 | 0.279198 | − | 0.960234i | \(-0.409931\pi\) | ||||
0.279198 | + | 0.960234i | \(0.409931\pi\) | |||||||
\(594\) | −11.0729 | + | 24.7334i | −0.454326 | + | 1.01482i | ||||
\(595\) | −7.87883 | −0.323001 | ||||||||
\(596\) | 0.422702 | − | 0.354689i | 0.0173146 | − | 0.0145286i | ||||
\(597\) | −1.82990 | + | 6.97225i | −0.0748927 | + | 0.285355i | ||||
\(598\) | 2.94243 | − | 16.6874i | 0.120325 | − | 0.682397i | ||||
\(599\) | 17.7013 | − | 6.44274i | 0.723255 | − | 0.263243i | 0.0459478 | − | 0.998944i | \(-0.485369\pi\) |
0.677307 | + | 0.735701i | \(0.263147\pi\) | |||||||
\(600\) | −2.42854 | − | 0.199912i | −0.0991448 | − | 0.00816137i | ||||
\(601\) | 4.95593 | + | 28.1065i | 0.202157 | + | 1.14649i | 0.901852 | + | 0.432046i | \(0.142208\pi\) |
−0.699695 | + | 0.714442i | \(0.746681\pi\) | |||||||
\(602\) | 4.51634 | + | 7.82252i | 0.184072 | + | 0.318822i | ||||
\(603\) | 26.4141 | + | 4.37837i | 1.07567 | + | 0.178301i | ||||
\(604\) | −7.67497 | + | 13.2934i | −0.312290 | + | 0.540902i | ||||
\(605\) | −28.8529 | − | 10.5016i | −1.17304 | − | 0.426950i | ||||
\(606\) | 5.85661 | + | 2.69446i | 0.237908 | + | 0.109455i | ||||
\(607\) | −22.2377 | − | 18.6597i | −0.902602 | − | 0.757373i | 0.0680956 | − | 0.997679i | \(-0.478308\pi\) |
−0.970697 | + | 0.240306i | \(0.922752\pi\) | |||||||
\(608\) | −2.07801 | − | 1.74366i | −0.0842745 | − | 0.0707147i | ||||
\(609\) | 7.77944 | + | 3.57911i | 0.315239 | + | 0.145033i | ||||
\(610\) | 24.6790 | + | 8.98241i | 0.999222 | + | 0.363687i | ||||
\(611\) | 16.6766 | − | 28.8847i | 0.674662 | − | 1.16855i | ||||
\(612\) | −12.3016 | − | 2.03909i | −0.497261 | − | 0.0824253i | ||||
\(613\) | 5.63203 | + | 9.75496i | 0.227475 | + | 0.393999i | 0.957059 | − | 0.289892i | \(-0.0936195\pi\) |
−0.729584 | + | 0.683891i | \(0.760286\pi\) | |||||||
\(614\) | −1.08844 | − | 6.17286i | −0.0439259 | − | 0.249116i | ||||
\(615\) | −3.29740 | − | 0.271435i | −0.132964 | − | 0.0109453i | ||||
\(616\) | 4.90067 | − | 1.78370i | 0.197454 | − | 0.0718673i | ||||
\(617\) | 8.29844 | − | 47.0628i | 0.334083 | − | 1.89468i | −0.102024 | − | 0.994782i | \(-0.532532\pi\) |
0.436107 | − | 0.899895i | \(-0.356357\pi\) | |||||||
\(618\) | 0.136314 | − | 0.519381i | 0.00548334 | − | 0.0208926i | ||||
\(619\) | 24.3805 | − | 20.4577i | 0.979937 | − | 0.822265i | −0.00414314 | − | 0.999991i | \(-0.501319\pi\) |
0.984080 | + | 0.177727i | \(0.0568744\pi\) | |||||||
\(620\) | −19.6195 | −0.787939 | ||||||||
\(621\) | 9.28434 | + | 12.8341i | 0.372568 | + | 0.515014i | ||||
\(622\) | −3.50681 | −0.140610 | ||||||||
\(623\) | 10.7068 | − | 8.98411i | 0.428961 | − | 0.359941i | ||||
\(624\) | 6.84259 | + | 6.77269i | 0.273923 | + | 0.271125i | ||||
\(625\) | −2.77602 | + | 15.7436i | −0.111041 | + | 0.629743i | ||||
\(626\) | −29.6417 | + | 10.7887i | −1.18472 | + | 0.431203i | ||||
\(627\) | −10.4694 | − | 22.1541i | −0.418108 | − | 0.884748i | ||||
\(628\) | −2.00632 | − | 11.3784i | −0.0800607 | − | 0.454047i | ||||
\(629\) | −22.0071 | − | 38.1175i | −0.877481 | − | 1.51984i | ||||
\(630\) | −5.58985 | + | 1.04493i | −0.222705 | + | 0.0416310i | ||||
\(631\) | 18.3742 | − | 31.8251i | 0.731467 | − | 1.26694i | −0.224789 | − | 0.974407i | \(-0.572169\pi\) |
0.956256 | − | 0.292531i | \(-0.0944974\pi\) | |||||||
\(632\) | 9.13280 | + | 3.32407i | 0.363283 | + | 0.132224i | ||||
\(633\) | −1.06828 | + | 0.756224i | −0.0424605 | + | 0.0300572i | ||||
\(634\) | 23.1745 | + | 19.4457i | 0.920376 | + | 0.772287i | ||||
\(635\) | 7.59129 | + | 6.36985i | 0.301251 | + | 0.252780i | ||||
\(636\) | −0.203686 | − | 2.19810i | −0.00807667 | − | 0.0871605i | ||||
\(637\) | −5.22327 | − | 1.90112i | −0.206954 | − | 0.0753250i | ||||
\(638\) | −12.8920 | + | 22.3295i | −0.510398 | + | 0.884035i | ||||
\(639\) | 0.119431 | + | 11.6311i | 0.00472461 | + | 0.460119i | ||||
\(640\) | −0.947779 | − | 1.64160i | −0.0374642 | − | 0.0648900i | ||||
\(641\) | −1.24036 | − | 7.03441i | −0.0489911 | − | 0.277842i | 0.950465 | − | 0.310833i | \(-0.100608\pi\) |
−0.999456 | + | 0.0329905i | \(0.989497\pi\) | |||||||
\(642\) | −11.7199 | + | 16.9219i | −0.462546 | + | 0.667856i | ||||
\(643\) | 13.6591 | − | 4.97149i | 0.538660 | − | 0.196056i | −0.0583407 | − | 0.998297i | \(-0.518581\pi\) |
0.597001 | + | 0.802240i | \(0.296359\pi\) | |||||||
\(644\) | 0.529358 | − | 3.00214i | 0.0208596 | − | 0.118301i | ||||
\(645\) | 28.6058 | − | 7.82252i | 1.12635 | − | 0.308012i | ||||
\(646\) | 8.63719 | − | 7.24747i | 0.339826 | − | 0.285148i | ||||
\(647\) | −41.2483 | −1.62164 | −0.810819 | − | 0.585297i | \(-0.800978\pi\) | ||||
−0.810819 | + | 0.585297i | \(0.800978\pi\) | |||||||
\(648\) | −8.99810 | + | 0.184809i | −0.353479 | + | 0.00725997i | ||||
\(649\) | −18.2487 | −0.716324 | ||||||||
\(650\) | −5.99049 | + | 5.02661i | −0.234966 | + | 0.197160i | ||||
\(651\) | 17.2923 | − | 4.72873i | 0.677738 | − | 0.185334i | ||||
\(652\) | −1.27244 | + | 7.21636i | −0.0498326 | + | 0.282615i | ||||
\(653\) | 4.36264 | − | 1.58787i | 0.170723 | − | 0.0621382i | −0.255244 | − | 0.966877i | \(-0.582156\pi\) |
0.425968 | + | 0.904738i | \(0.359934\pi\) | |||||||
\(654\) | 13.1024 | − | 18.9182i | 0.512346 | − | 0.739761i | ||||
\(655\) | −1.83602 | − | 10.4126i | −0.0717392 | − | 0.406853i | ||||
\(656\) | 0.503861 | + | 0.872713i | 0.0196725 | + | 0.0340737i | ||||
\(657\) | 26.1700 | + | 14.7531i | 1.02099 | + | 0.575573i | ||||
\(658\) | 3.00020 | − | 5.19649i | 0.116960 | − | 0.202580i | ||||
\(659\) | −8.54953 | − | 3.11177i | −0.333042 | − | 0.121218i | 0.170086 | − | 0.985429i | \(-0.445595\pi\) |
−0.503128 | + | 0.864212i | \(0.667818\pi\) | |||||||
\(660\) | −1.57988 | − | 17.0495i | −0.0614966 | − | 0.663650i | ||||
\(661\) | 11.3995 | + | 9.56531i | 0.443389 | + | 0.372047i | 0.836976 | − | 0.547240i | \(-0.184322\pi\) |
−0.393587 | + | 0.919287i | \(0.628766\pi\) | |||||||
\(662\) | −16.7203 | − | 14.0300i | −0.649852 | − | 0.545290i | ||||
\(663\) | −32.6616 | + | 23.1207i | −1.26847 | + | 0.897933i | ||||
\(664\) | −3.53270 | − | 1.28580i | −0.137096 | − | 0.0498987i | ||||
\(665\) | 2.57099 | − | 4.45309i | 0.0996988 | − | 0.172683i | ||||
\(666\) | −20.6689 | − | 24.1247i | −0.800902 | − | 0.934815i | ||||
\(667\) | 7.53579 | + | 13.0524i | 0.291787 | + | 0.505390i | ||||
\(668\) | −0.201228 | − | 1.14122i | −0.00778574 | − | 0.0441551i | ||||
\(669\) | 12.7294 | + | 26.9363i | 0.492147 | + | 1.04142i | ||||
\(670\) | −15.8973 | + | 5.78614i | −0.614166 | + | 0.223538i | ||||
\(671\) | 12.5471 | − | 71.1583i | 0.484376 | − | 2.74703i | ||||
\(672\) | 1.23102 | + | 1.21844i | 0.0474875 | + | 0.0470024i | ||||
\(673\) | −22.6443 | + | 19.0008i | −0.872872 | + | 0.732427i | −0.964701 | − | 0.263348i | \(-0.915173\pi\) |
0.0918288 | + | 0.995775i | \(0.470729\pi\) | |||||||
\(674\) | −7.29990 | −0.281182 | ||||||||
\(675\) | 0.524898 | − | 7.29140i | 0.0202033 | − | 0.280646i | ||||
\(676\) | 17.8968 | 0.688339 | ||||||||
\(677\) | −30.6658 | + | 25.7316i | −1.17858 | + | 0.988947i | −0.178594 | + | 0.983923i | \(0.557155\pi\) |
−0.999987 | + | 0.00502400i | \(0.998401\pi\) | |||||||
\(678\) | 5.64632 | − | 21.5135i | 0.216846 | − | 0.826222i | ||||
\(679\) | 0.196986 | − | 1.11716i | 0.00755963 | − | 0.0428728i | ||||
\(680\) | 7.40368 | − | 2.69472i | 0.283918 | − | 0.103338i | ||||
\(681\) | −8.68739 | − | 0.715126i | −0.332901 | − | 0.0274037i | ||||
\(682\) | 9.37328 | + | 53.1585i | 0.358921 | + | 2.03554i | ||||
\(683\) | 14.1375 | + | 24.4869i | 0.540958 | + | 0.936966i | 0.998849 | + | 0.0479581i | \(0.0152714\pi\) |
−0.457892 | + | 0.889008i | \(0.651395\pi\) | |||||||
\(684\) | 5.16669 | − | 6.28742i | 0.197553 | − | 0.240405i | ||||
\(685\) | −16.5185 | + | 28.6109i | −0.631139 | + | 1.09317i | ||||
\(686\) | −0.939693 | − | 0.342020i | −0.0358776 | − | 0.0130584i | ||||
\(687\) | −42.5617 | − | 19.5814i | −1.62383 | − | 0.747078i | ||||
\(688\) | −6.91943 | − | 5.80609i | −0.263801 | − | 0.221355i | ||||
\(689\) | −5.42694 | − | 4.55375i | −0.206750 | − | 0.173484i | ||||
\(690\) | −9.09255 | − | 4.18323i | −0.346147 | − | 0.159253i | ||||
\(691\) | 19.6082 | + | 7.13681i | 0.745932 | + | 0.271497i | 0.686893 | − | 0.726759i | \(-0.258974\pi\) |
0.0590392 | + | 0.998256i | \(0.481196\pi\) | |||||||
\(692\) | −8.99682 | + | 15.5829i | −0.342008 | + | 0.592375i | ||||
\(693\) | 5.50177 | + | 14.6463i | 0.208995 | + | 0.556367i | ||||
\(694\) | 6.92596 | + | 11.9961i | 0.262906 | + | 0.455366i | ||||
\(695\) | 0.746395 | + | 4.23302i | 0.0283124 | + | 0.160567i | ||||
\(696\) | −8.53441 | − | 0.702533i | −0.323496 | − | 0.0266294i | ||||
\(697\) | −3.93597 | + | 1.43258i | −0.149085 | + | 0.0542626i | ||||
\(698\) | −0.323619 | + | 1.83533i | −0.0122492 | + | 0.0694684i | ||||
\(699\) | 10.1303 | − | 38.5983i | 0.383162 | − | 1.45992i | ||||
\(700\) | −1.07772 | + | 0.904313i | −0.0407339 | + | 0.0341798i | ||||
\(701\) | 19.6530 | 0.742285 | 0.371143 | − | 0.928576i | \(-0.378966\pi\) | ||||
0.371143 | + | 0.928576i | \(0.378966\pi\) | |||||||
\(702\) | −20.1062 | + | 20.7353i | −0.758861 | + | 0.782604i | ||||
\(703\) | 28.7252 | 1.08339 | ||||||||
\(704\) | −3.99506 | + | 3.35226i | −0.150570 | + | 0.126343i | ||||
\(705\) | −14.0017 | − | 13.8587i | −0.527334 | − | 0.521947i | ||||
\(706\) | 1.81716 | − | 10.3056i | 0.0683897 | − | 0.387857i | ||||
\(707\) | 3.49754 | − | 1.27300i | 0.131539 | − | 0.0478761i | ||||
\(708\) | −2.58953 | − | 5.47964i | −0.0973204 | − | 0.205937i | ||||
\(709\) | 3.79902 | + | 21.5453i | 0.142675 | + | 0.809151i | 0.969204 | + | 0.246257i | \(0.0792008\pi\) |
−0.826529 | + | 0.562894i | \(0.809688\pi\) | |||||||
\(710\) | −3.67476 | − | 6.36488i | −0.137911 | − | 0.238870i | ||||
\(711\) | −9.69036 | + | 27.4993i | −0.363417 | + | 1.03131i | ||||
\(712\) | −6.98840 | + | 12.1043i | −0.261901 | + | 0.453626i | ||||
\(713\) | 29.6494 | + | 10.7915i | 1.11038 | + | 0.404145i | ||||
\(714\) | −5.87598 | + | 4.15952i | −0.219903 | + | 0.155666i | ||||
\(715\) | −42.0938 | − | 35.3209i | −1.57422 | − | 1.32093i | ||||
\(716\) | −2.25791 | − | 1.89461i | −0.0843820 | − | 0.0708049i | ||||
\(717\) | −4.66908 | − | 50.3870i | −0.174370 | − | 1.88174i | ||||
\(718\) | −26.4871 | − | 9.64050i | −0.988488 | − | 0.359780i | ||||
\(719\) | −8.48735 | + | 14.7005i | −0.316525 | + | 0.548237i | −0.979760 | − | 0.200174i | \(-0.935849\pi\) |
0.663236 | + | 0.748411i | \(0.269183\pi\) | |||||||
\(720\) | 4.89535 | − | 2.89375i | 0.182439 | − | 0.107844i | ||||
\(721\) | −0.155010 | − | 0.268486i | −0.00577288 | − | 0.00999892i | ||||
\(722\) | −2.02153 | − | 11.4647i | −0.0752335 | − | 0.426671i | ||||
\(723\) | −7.89909 | + | 11.4053i | −0.293770 | + | 0.424166i | ||||
\(724\) | −12.8123 | + | 4.66331i | −0.476167 | + | 0.173310i | ||||
\(725\) | 1.20782 | − | 6.84987i | 0.0448572 | − | 0.254398i | ||||
\(726\) | −27.0624 | + | 7.40048i | −1.00438 | + | 0.274657i | ||||
\(727\) | −0.247457 | + | 0.207641i | −0.00917769 | + | 0.00770100i | −0.647365 | − | 0.762180i | \(-0.724129\pi\) |
0.638187 | + | 0.769881i | \(0.279685\pi\) | |||||||
\(728\) | 5.55849 | 0.206011 | ||||||||
\(729\) | −0.831566 | − | 26.9872i | −0.0307988 | − | 0.999526i | ||||
\(730\) | −18.9821 | −0.702560 | ||||||||
\(731\) | 28.7604 | − | 24.1328i | 1.06374 | − | 0.892585i | ||||
\(732\) | 23.1475 | − | 6.32991i | 0.855558 | − | 0.233960i | ||||
\(733\) | −1.89800 | + | 10.7641i | −0.0701043 | + | 0.397581i | 0.929483 | + | 0.368864i | \(0.120253\pi\) |
−0.999588 | + | 0.0287171i | \(0.990858\pi\) | |||||||
\(734\) | −3.14417 | + | 1.14438i | −0.116053 | + | 0.0422400i | ||||
\(735\) | −1.86934 | + | 2.69907i | −0.0689515 | + | 0.0995569i | ||||
\(736\) | 0.529358 | + | 3.00214i | 0.0195124 | + | 0.110660i | ||||
\(737\) | 23.2724 | + | 40.3089i | 0.857248 | + | 1.48480i | ||||
\(738\) | −2.60248 | + | 1.53839i | −0.0957987 | + | 0.0566288i | ||||
\(739\) | 11.1476 | − | 19.3083i | 0.410073 | − | 0.710267i | −0.584825 | − | 0.811160i | \(-0.698837\pi\) |
0.994897 | + | 0.100893i | \(0.0321700\pi\) | |||||||
\(740\) | 18.8622 | + | 6.86526i | 0.693387 | + | 0.252372i | ||||
\(741\) | −2.40972 | − | 26.0049i | −0.0885234 | − | 0.955313i | ||||
\(742\) | −0.976334 | − | 0.819241i | −0.0358423 | − | 0.0300753i | ||||
\(743\) | −18.6297 | − | 15.6321i | −0.683456 | − | 0.573487i | 0.233558 | − | 0.972343i | \(-0.424963\pi\) |
−0.917014 | + | 0.398855i | \(0.869408\pi\) | |||||||
\(744\) | −14.6321 | + | 10.3579i | −0.536439 | + | 0.379738i | ||||
\(745\) | −0.982887 | − | 0.357742i | −0.0360102 | − | 0.0131066i | ||||
\(746\) | −7.88139 | + | 13.6510i | −0.288558 | + | 0.499798i | ||||
\(747\) | 3.74838 | − | 10.6372i | 0.137146 | − | 0.389193i | ||||
\(748\) | −10.8384 | − | 18.7726i | −0.396291 | − | 0.686395i | ||||
\(749\) | 2.06368 | + | 11.7037i | 0.0754053 | + | 0.427645i | ||||
\(750\) | 8.98754 | + | 19.0183i | 0.328179 | + | 0.694451i | ||||
\(751\) | 26.1975 | − | 9.53510i | 0.955960 | − | 0.347941i | 0.183511 | − | 0.983018i | \(-0.441254\pi\) |
0.772449 | + | 0.635077i | \(0.219032\pi\) | |||||||
\(752\) | −1.04196 | + | 5.90923i | −0.0379963 | + | 0.215488i | ||||
\(753\) | 19.1568 | + | 18.9612i | 0.698114 | + | 0.690983i | ||||
\(754\) | −21.0518 | + | 17.6646i | −0.766663 | + | 0.643307i | ||||
\(755\) | 29.0967 | 1.05894 | ||||||||
\(756\) | −3.61721 | + | 3.73039i | −0.131557 | + | 0.135673i | ||||
\(757\) | 53.7890 | 1.95499 | 0.977497 | − | 0.210949i | \(-0.0676555\pi\) | ||||
0.977497 | + | 0.210949i | \(0.0676555\pi\) | |||||||
\(758\) | −6.82183 | + | 5.72420i | −0.247780 | + | 0.207912i | ||||
\(759\) | −6.99034 | + | 26.6345i | −0.253733 | + | 0.966772i | ||||
\(760\) | −0.892897 | + | 5.06387i | −0.0323888 | + | 0.183686i | ||||
\(761\) | 37.6927 | − | 13.7190i | 1.36636 | − | 0.497314i | 0.448344 | − | 0.893861i | \(-0.352014\pi\) |
0.918014 | + | 0.396547i | \(0.129792\pi\) | |||||||
\(762\) | 9.02441 | + | 0.742869i | 0.326920 | + | 0.0269113i | ||||
\(763\) | −2.30713 | − | 13.0844i | −0.0835238 | − | 0.473687i | ||||
\(764\) | 2.53497 | + | 4.39071i | 0.0917122 | + | 0.158850i | ||||
\(765\) | 8.31178 | + | 22.1269i | 0.300513 | + | 0.799998i | ||||
\(766\) | 2.84853 | − | 4.93380i | 0.102922 | − | 0.178266i | ||||
\(767\) | −18.2770 | − | 6.65228i | −0.659944 | − | 0.240200i | ||||
\(768\) | −1.57351 | − | 0.723928i | −0.0567791 | − | 0.0261225i | ||||
\(769\) | 20.0635 | + | 16.8353i | 0.723509 | + | 0.607096i | 0.928354 | − | 0.371698i | \(-0.121224\pi\) |
−0.204845 | + | 0.978795i | \(0.565669\pi\) | |||||||
\(770\) | −7.57288 | − | 6.35440i | −0.272908 | − | 0.228997i | ||||
\(771\) | 17.6843 | + | 8.13605i | 0.636884 | + | 0.293013i | ||||
\(772\) | −16.0785 | − | 5.85208i | −0.578676 | − | 0.210621i | ||||
\(773\) | −25.7229 | + | 44.5534i | −0.925189 | + | 1.60247i | −0.133931 | + | 0.990991i | \(0.542760\pi\) |
−0.791258 | + | 0.611483i | \(0.790573\pi\) | |||||||
\(774\) | 17.2042 | − | 20.9360i | 0.618393 | − | 0.752530i | ||||
\(775\) | −7.28069 | − | 12.6105i | −0.261530 | − | 0.452983i | ||||
\(776\) | 0.196986 | + | 1.11716i | 0.00707139 | + | 0.0401038i | ||||
\(777\) | −18.2794 | − | 1.50472i | −0.655771 | − | 0.0539816i | ||||
\(778\) | −6.78624 | + | 2.46999i | −0.243298 | + | 0.0885534i | ||||
\(779\) | 0.474685 | − | 2.69207i | 0.0170073 | − | 0.0964534i | ||||
\(780\) | 4.63280 | − | 17.6518i | 0.165881 | − | 0.632037i | ||||
\(781\) | −15.4898 | + | 12.9975i | −0.554269 | + | 0.465087i | ||||
\(782\) | −12.6708 | −0.453107 | ||||||||
\(783\) | 1.84460 | − | 25.6235i | 0.0659207 | − | 0.915710i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −16.7772 | + | 14.0778i | −0.598805 | + | 0.502457i | ||||
\(786\) | −6.86647 | − | 6.79633i | −0.244919 | − | 0.242417i | ||||
\(787\) | 6.48345 | − | 36.7695i | 0.231110 | − | 1.31069i | −0.619543 | − | 0.784962i | \(-0.712682\pi\) |
0.850653 | − | 0.525727i | \(-0.176207\pi\) | |||||||
\(788\) | −0.520014 | + | 0.189270i | −0.0185247 | + | 0.00674245i | ||||
\(789\) | 13.3180 | + | 28.1819i | 0.474133 | + | 1.00330i | ||||
\(790\) | −3.19908 | − | 18.1429i | −0.113818 | − | 0.645495i | ||||
\(791\) | −6.42076 | − | 11.1211i | −0.228296 | − | 0.395420i | ||||
\(792\) | −10.1793 | − | 11.8813i | −0.361706 | − | 0.422184i | ||||
\(793\) | 38.5062 | − | 66.6948i | 1.36740 | − | 2.36840i | ||||
\(794\) | 10.3532 | + | 3.76825i | 0.367421 | + | 0.133730i | ||||
\(795\) | −3.41536 | + | 2.41769i | −0.121130 | + | 0.0857466i | ||||
\(796\) | −3.18810 | − | 2.67513i | −0.112999 | − | 0.0948175i | ||||
\(797\) | −29.7379 | − | 24.9531i | −1.05337 | − | 0.883883i | −0.0599264 | − | 0.998203i | \(-0.519087\pi\) |
−0.993444 | + | 0.114320i | \(0.963531\pi\) | |||||||
\(798\) | −0.433521 | − | 4.67841i | −0.0153465 | − | 0.165614i | ||||
\(799\) | −23.4364 | − | 8.53014i | −0.829119 | − | 0.301775i | ||||
\(800\) | 0.703431 | − | 1.21838i | 0.0248700 | − | 0.0430761i | ||||
\(801\) | −36.5261 | − | 20.5912i | −1.29059 | − | 0.727555i | ||||
\(802\) | −10.4461 | − | 18.0932i | −0.368864 | − | 0.638892i | ||||
\(803\) | 9.06877 | + | 51.4315i | 0.320030 | + | 1.81498i | ||||
\(804\) | −8.80138 | + | 12.7080i | −0.310401 | + | 0.448178i | ||||
\(805\) | −5.43003 | + | 1.97637i | −0.191383 | + | 0.0696579i | ||||
\(806\) | −9.99030 | + | 56.6578i | −0.351893 | + | 1.99569i | ||||
\(807\) | −24.0492 | + | 6.57649i | −0.846573 | + | 0.231503i | ||||
\(808\) | −2.85122 | + | 2.39246i | −0.100306 | + | 0.0841664i | ||||
\(809\) | 4.41959 | 0.155385 | 0.0776923 | − | 0.996977i | \(-0.475245\pi\) | ||||
0.0776923 | + | 0.996977i | \(0.475245\pi\) | |||||||
\(810\) | 8.83159 | + | 14.5961i | 0.310311 | + | 0.512856i | ||||
\(811\) | −9.88154 | −0.346988 | −0.173494 | − | 0.984835i | \(-0.555506\pi\) | ||||
−0.173494 | + | 0.984835i | \(0.555506\pi\) | |||||||
\(812\) | −3.78733 | + | 3.17795i | −0.132909 | + | 0.111524i | ||||
\(813\) | −0.832168 | + | 0.227564i | −0.0291854 | + | 0.00798102i | ||||
\(814\) | 9.58978 | − | 54.3864i | 0.336122 | − | 1.90624i | ||||
\(815\) | 13.0524 | − | 4.75068i | 0.457205 | − | 0.166409i | ||||
\(816\) | 4.09897 | − | 5.91838i | 0.143493 | − | 0.207185i | ||||
\(817\) | 4.25481 | + | 24.1302i | 0.148857 | + | 0.844210i | ||||
\(818\) | −8.63798 | − | 14.9614i | −0.302020 | − | 0.523114i | ||||
\(819\) | 0.171219 | + | 16.6746i | 0.00598286 | + | 0.582657i | ||||
\(820\) | 0.955098 | − | 1.65428i | 0.0333535 | − | 0.0577699i | ||||
\(821\) | 9.44976 | + | 3.43943i | 0.329799 | + | 0.120037i | 0.501612 | − | 0.865093i | \(-0.332740\pi\) |
−0.171813 | + | 0.985130i | \(0.554963\pi\) | |||||||
\(822\) | 2.78535 | + | 30.0585i | 0.0971502 | + | 1.04841i | ||||
\(823\) | −37.7149 | − | 31.6465i | −1.31466 | − | 1.10313i | −0.987409 | − | 0.158190i | \(-0.949434\pi\) |
−0.327249 | − | 0.944938i | \(-0.606121\pi\) | |||||||
\(824\) | 0.237489 | + | 0.199277i | 0.00827333 | + | 0.00694215i | ||||
\(825\) | 10.3723 | − | 7.34243i | 0.361118 | − | 0.255631i | ||||
\(826\) | −3.28812 | − | 1.19678i | −0.114408 | − | 0.0416413i | ||||
\(827\) | 22.1800 | − | 38.4168i | 0.771273 | − | 1.33588i | −0.165593 | − | 0.986194i | \(-0.552954\pi\) |
0.936866 | − | 0.349690i | \(-0.113713\pi\) | |||||||
\(828\) | −8.98964 | + | 1.68047i | −0.312412 | + | 0.0584002i | ||||
\(829\) | 7.52947 | + | 13.0414i | 0.261509 | + | 0.452947i | 0.966643 | − | 0.256127i | \(-0.0824465\pi\) |
−0.705134 | + | 0.709074i | \(0.749113\pi\) | |||||||
\(830\) | 1.23745 | + | 7.01794i | 0.0429526 | + | 0.243596i | ||||
\(831\) | 1.52867 | + | 3.23478i | 0.0530290 | + | 0.112213i | ||||
\(832\) | −5.22327 | + | 1.90112i | −0.181084 | + | 0.0659093i | ||||
\(833\) | −0.721763 | + | 4.09332i | −0.0250076 | + | 0.141825i | ||||
\(834\) | 2.79142 | + | 2.76291i | 0.0966590 | + | 0.0956716i | ||||
\(835\) | −1.68271 | + | 1.41196i | −0.0582325 | + | 0.0488629i | ||||
\(836\) | 14.1470 | 0.489284 | ||||||||
\(837\) | −31.5227 | − | 43.5749i | −1.08958 | − | 1.50617i | ||||
\(838\) | 11.3274 | 0.391298 | ||||||||
\(839\) | −27.9790 | + | 23.4772i | −0.965943 | + | 0.810522i | −0.981910 | − | 0.189350i | \(-0.939362\pi\) |
0.0159670 | + | 0.999873i | \(0.494917\pi\) | |||||||
\(840\) | 0.833463 | − | 3.17565i | 0.0287572 | − | 0.109570i | ||||
\(841\) | −0.791273 | + | 4.48753i | −0.0272853 | + | 0.154743i | ||||
\(842\) | 11.0051 | − | 4.00554i | 0.379262 | − | 0.138040i | ||||
\(843\) | −7.32489 | − | 0.602968i | −0.252283 | − | 0.0207673i | ||||
\(844\) | −0.131221 | − | 0.744188i | −0.00451680 | − | 0.0256160i | ||||
\(845\) | −16.9622 | − | 29.3794i | −0.583518 | − | 1.01068i | ||||
\(846\) | −17.7589 | − | 2.94368i | −0.610562 | − | 0.101206i | ||||
\(847\) | −8.09909 | + | 14.0280i | −0.278288 | + | 0.482009i | ||||
\(848\) | 1.19765 | + | 0.435909i | 0.0411275 | + | 0.0149692i | ||||
\(849\) | 31.6350 | + | 14.5544i | 1.08571 | + | 0.499506i | ||||
\(850\) | 4.47950 | + | 3.75875i | 0.153646 | + | 0.128924i | ||||
\(851\) | −24.7287 | − | 20.7499i | −0.847690 | − | 0.711297i | ||||
\(852\) | −6.10087 | − | 2.80684i | −0.209012 | − | 0.0961607i | ||||
\(853\) | −15.3355 | − | 5.58167i | −0.525078 | − | 0.191113i | 0.0658612 | − | 0.997829i | \(-0.479021\pi\) |
−0.590939 | + | 0.806716i | \(0.701243\pi\) | |||||||
\(854\) | 6.92746 | − | 11.9987i | 0.237053 | − | 0.410588i | ||||
\(855\) | −15.2183 | − | 2.52257i | −0.520455 | − | 0.0862699i | ||||
\(856\) | −5.94213 | − | 10.2921i | −0.203098 | − | 0.351776i | ||||
\(857\) | 0.882674 | + | 5.00589i | 0.0301516 | + | 0.170998i | 0.996165 | − | 0.0874935i | \(-0.0278857\pi\) |
−0.966014 | + | 0.258492i | \(0.916775\pi\) | |||||||
\(858\) | −50.0404 | − | 4.11921i | −1.70835 | − | 0.140628i | ||||
\(859\) | −18.8930 | + | 6.87651i | −0.644622 | + | 0.234623i | −0.643583 | − | 0.765376i | \(-0.722553\pi\) |
−0.00103913 | + | 0.999999i | \(0.500331\pi\) | |||||||
\(860\) | −2.97320 | + | 16.8618i | −0.101385 | + | 0.574984i | ||||
\(861\) | −0.443088 | + | 1.68825i | −0.0151004 | + | 0.0575354i | ||||
\(862\) | −23.1993 | + | 19.4665i | −0.790170 | + | 0.663031i | ||||
\(863\) | −42.5155 | −1.44725 | −0.723623 | − | 0.690196i | \(-0.757524\pi\) | ||||
−0.723623 | + | 0.690196i | \(0.757524\pi\) | |||||||
\(864\) | 2.12320 | − | 4.74258i | 0.0722327 | − | 0.161346i | ||||
\(865\) | 34.1080 | 1.15971 | ||||||||
\(866\) | −1.88399 | + | 1.58085i | −0.0640204 | + | 0.0537195i | ||||
\(867\) | 0.340062 | + | 0.336588i | 0.0115491 | + | 0.0114311i | ||||
\(868\) | −1.79730 | + | 10.1930i | −0.0610045 | + | 0.345974i | ||||
\(869\) | −47.6293 | + | 17.3356i | −1.61571 | + | 0.588071i | ||||
\(870\) | 6.93545 | + | 14.6759i | 0.235134 | + | 0.497561i | ||||
\(871\) | 8.61445 | + | 48.8550i | 0.291890 | + | 1.65539i | ||||
\(872\) | 6.64312 | + | 11.5062i | 0.224965 | + | 0.389650i | ||||
\(873\) | −3.34525 | + | 0.625339i | −0.113219 | + | 0.0211645i | ||||
\(874\) | 4.13469 | − | 7.16150i | 0.139858 | − | 0.242241i | ||||
\(875\) | 11.4122 | + | 4.15369i | 0.385802 | + | 0.140420i | ||||
\(876\) | −14.1567 | + | 10.0214i | −0.478312 | + | 0.338591i | ||||
\(877\) | 8.07205 | + | 6.77326i | 0.272574 | + | 0.228717i | 0.768820 | − | 0.639465i | \(-0.220844\pi\) |
−0.496246 | + | 0.868182i | \(0.665289\pi\) | |||||||
\(878\) | 3.02089 | + | 2.53482i | 0.101950 | + | 0.0855462i | ||||
\(879\) | −3.91919 | − | 42.2945i | −0.132191 | − | 1.42656i | ||||
\(880\) | 9.28951 | + | 3.38110i | 0.313149 | + | 0.113977i | ||||
\(881\) | −20.9308 | + | 36.2532i | −0.705176 | + | 1.22140i | 0.261452 | + | 0.965216i | \(0.415799\pi\) |
−0.966628 | + | 0.256184i | \(0.917535\pi\) | |||||||
\(882\) | 0.0308031 | + | 2.99984i | 0.00103719 | + | 0.101010i | ||||
\(883\) | −10.2564 | − | 17.7647i | −0.345157 | − | 0.597829i | 0.640226 | − | 0.768187i | \(-0.278841\pi\) |
−0.985382 | + | 0.170358i | \(0.945508\pi\) | |||||||
\(884\) | −4.01192 | − | 22.7527i | −0.134935 | − | 0.765256i | ||||
\(885\) | −6.54108 | + | 9.44446i | −0.219876 | + | 0.317472i | ||||
\(886\) | 28.8433 | − | 10.4981i | 0.969011 | − | 0.352691i | ||||
\(887\) | 1.89360 | − | 10.7392i | 0.0635810 | − | 0.360586i | −0.936373 | − | 0.351006i | \(-0.885840\pi\) |
0.999954 | − | 0.00957951i | \(-0.00304930\pi\) | |||||||
\(888\) | 17.6917 | − | 4.83796i | 0.593694 | − | 0.162351i | ||||
\(889\) | 4.00478 | − | 3.36041i | 0.134316 | − | 0.112705i | ||||
\(890\) | 26.4938 | 0.888075 | ||||||||
\(891\) | 35.3285 | − | 30.9023i | 1.18355 | − | 1.03527i | ||||
\(892\) | −17.2008 | −0.575926 | ||||||||
\(893\) | 12.4689 | − | 10.4626i | 0.417255 | − | 0.350119i | ||||
\(894\) | −0.921895 | + | 0.252101i | −0.0308328 | + | 0.00843151i | ||||
\(895\) | −0.970196 | + | 5.50226i | −0.0324301 | + | 0.183920i | ||||
\(896\) | −0.939693 | + | 0.342020i | −0.0313929 | + | 0.0114261i | ||||
\(897\) | −16.7104 | + | 24.1276i | −0.557944 | + | 0.805597i | ||||
\(898\) | −0.0394942 | − | 0.223983i | −0.00131794 | − | 0.00747440i | ||||
\(899\) | −25.5859 | − | 44.3161i | −0.853338 | − | 1.47802i | ||||
\(900\) | 3.67661 | + | 2.07265i | 0.122554 | + | 0.0690884i | ||||
\(901\) | −2.64874 | + | 4.58775i | −0.0882423 | + | 0.152840i | ||||
\(902\) | −4.93852 | − | 1.79747i | −0.164435 | − | 0.0598493i | ||||
\(903\) | −1.44355 | − | 15.5783i | −0.0480384 | − | 0.518414i | ||||
\(904\) | 9.83717 | + | 8.25436i | 0.327179 | + | 0.274536i | ||||
\(905\) | 19.7985 | + | 16.6130i | 0.658126 | + | 0.552233i | ||||
\(906\) | 21.7001 | − | 15.3612i | 0.720938 | − | 0.510342i | ||||
\(907\) | 23.6675 | + | 8.61426i | 0.785866 | + | 0.286032i | 0.703617 | − | 0.710580i | \(-0.251567\pi\) |
0.0822496 | + | 0.996612i | \(0.473790\pi\) | |||||||
\(908\) | 2.51631 | − | 4.35839i | 0.0835068 | − | 0.144638i | ||||
\(909\) | −7.26483 | − | 8.47952i | −0.240959 | − | 0.281248i | ||||
\(910\) | −5.26822 | − | 9.12483i | −0.174640 | − | 0.302485i | ||||
\(911\) | 3.72895 | + | 21.1479i | 0.123545 | + | 0.700661i | 0.982161 | + | 0.188041i | \(0.0602139\pi\) |
−0.858616 | + | 0.512620i | \(0.828675\pi\) | |||||||
\(912\) | 2.00749 | + | 4.24799i | 0.0664745 | + | 0.140665i | ||||
\(913\) | 18.4237 | − | 6.70568i | 0.609736 | − | 0.221926i | ||||
\(914\) | 1.26372 | − | 7.16690i | 0.0418001 | − | 0.237060i | ||||
\(915\) | −32.3299 | − | 31.9997i | −1.06880 | − | 1.05788i | ||||
\(916\) | 20.7207 | − | 17.3867i | 0.684630 | − | 0.574472i | ||||
\(917\) | −5.57789 | −0.184198 | ||||||||
\(918\) | 17.8805 | + | 12.1140i | 0.590143 | + | 0.399820i | ||||
\(919\) | 11.5230 | 0.380107 | 0.190054 | − | 0.981774i | \(-0.439134\pi\) | ||||
0.190054 | + | 0.981774i | \(0.439134\pi\) | |||||||
\(920\) | 4.42660 | − | 3.71436i | 0.145941 | − | 0.122459i | ||||
\(921\) | −2.75603 | + | 10.5010i | −0.0908143 | + | 0.346020i | ||||
\(922\) | −1.83984 | + | 10.4343i | −0.0605920 | + | 0.343634i | ||||
\(923\) | −20.2519 | + | 7.37108i | −0.666598 | + | 0.242622i | ||||
\(924\) | −9.00252 | − | 0.741067i | −0.296161 | − | 0.0243793i | ||||
\(925\) | 2.58696 | + | 14.6714i | 0.0850588 | + | 0.482392i | ||||
\(926\) | −6.80035 | − | 11.7785i | −0.223473 | − | 0.387067i | ||||
\(927\) | −0.590485 | + | 0.718569i | −0.0193941 | + | 0.0236009i | ||||
\(928\) | 2.47201 | − | 4.28164i | 0.0811475 | − | 0.140552i | ||||
\(929\) | 10.6611 | + | 3.88034i | 0.349781 | + | 0.127310i | 0.510935 | − | 0.859619i | \(-0.329299\pi\) |
−0.161154 | + | 0.986929i | \(0.551522\pi\) | |||||||
\(930\) | 30.8715 | + | 14.2031i | 1.01232 | + | 0.465738i | ||||
\(931\) | −2.07801 | − | 1.74366i | −0.0681041 | − | 0.0571461i | ||||
\(932\) | 17.6492 | + | 14.8095i | 0.578120 | + | 0.485100i | ||||
\(933\) | 5.51800 | + | 2.53868i | 0.180651 | + | 0.0831126i | ||||
\(934\) | −25.3156 | − | 9.21411i | −0.828351 | − | 0.301495i | ||||
\(935\) | −20.5448 | + | 35.5846i | −0.671886 | + | 1.16374i | ||||
\(936\) | −5.86394 | − | 15.6104i | −0.191669 | − | 0.510243i | ||||
\(937\) | −17.5880 | − | 30.4632i | −0.574574 | − | 0.995191i | −0.996088 | − | 0.0883688i | \(-0.971835\pi\) |
0.421514 | − | 0.906822i | \(-0.361499\pi\) | |||||||
\(938\) | 1.54978 | + | 8.78925i | 0.0506022 | + | 0.286979i | ||||
\(939\) | 54.4517 | + | 4.48234i | 1.77696 | + | 0.146276i | ||||
\(940\) | 10.6882 | − | 3.89017i | 0.348609 | − | 0.126883i | ||||
\(941\) | −7.27486 | + | 41.2578i | −0.237154 | + | 1.34496i | 0.600877 | + | 0.799342i | \(0.294818\pi\) |
−0.838031 | + | 0.545623i | \(0.816293\pi\) | |||||||
\(942\) | −5.08017 | + | 19.3564i | −0.165521 | + | 0.630666i | ||||
\(943\) | −2.35328 | + | 1.97464i | −0.0766335 | + | 0.0643031i | ||||
\(944\) | 3.49915 | 0.113888 | ||||||||
\(945\) | 9.55212 | + | 2.40244i | 0.310731 | + | 0.0781513i | ||||
\(946\) | 47.1071 | 1.53158 | ||||||||
\(947\) | −33.3044 | + | 27.9457i | −1.08225 | + | 0.908115i | −0.996106 | − | 0.0881682i | \(-0.971899\pi\) |
−0.0861432 | + | 0.996283i | \(0.527454\pi\) | |||||||
\(948\) | −11.9642 | − | 11.8419i | −0.388578 | − | 0.384608i | ||||
\(949\) | −9.66574 | + | 54.8172i | −0.313763 | + | 1.77944i | ||||
\(950\) | −3.58617 | + | 1.30526i | −0.116351 | + | 0.0423482i | ||||
\(951\) | −22.3880 | − | 47.3746i | −0.725980 | − | 1.53623i | ||||
\(952\) | −0.721763 | − | 4.09332i | −0.0233925 | − | 0.132665i | ||||
\(953\) | 26.5875 | + | 46.0509i | 0.861254 | + | 1.49174i | 0.870719 | + | 0.491780i | \(0.163654\pi\) |
−0.00946552 | + | 0.999955i | \(0.503013\pi\) | |||||||
\(954\) | −1.27077 | + | 3.60619i | −0.0411426 | + | 0.116755i | ||||
\(955\) | 4.80519 | − | 8.32284i | 0.155492 | − | 0.269321i | ||||
\(956\) | 27.4537 | + | 9.99232i | 0.887915 | + | 0.323175i | ||||
\(957\) | 36.4506 | − | 25.8029i | 1.17828 | − | 0.834089i | ||||
\(958\) | 23.6564 | + | 19.8500i | 0.764302 | + | 0.641326i | ||||
\(959\) | 13.3511 | + | 11.2029i | 0.431130 | + | 0.361761i | ||||
\(960\) | 0.302938 | + | 3.26920i | 0.00977727 | + | 0.105513i | ||||
\(961\) | −71.5368 | − | 26.0373i | −2.30764 | − | 0.839912i | ||||
\(962\) | 29.4304 | − | 50.9749i | 0.948873 | − | 1.64350i | ||||
\(963\) | 30.6916 | − | 18.1425i | 0.989022 | − | 0.584634i | ||||
\(964\) | −4.00495 | − | 6.93678i | −0.128991 | − | 0.223419i | ||||
\(965\) | 5.63204 | + | 31.9409i | 0.181302 | + | 1.02821i | ||||
\(966\) | −3.00628 | + | 4.34068i | −0.0967255 | + | 0.139659i | ||||
\(967\) | −7.80582 | + | 2.84109i | −0.251018 | + | 0.0913632i | −0.464465 | − | 0.885592i | \(-0.653753\pi\) |
0.213447 | + | 0.976955i | \(0.431531\pi\) | |||||||
\(968\) | 2.81278 | − | 15.9521i | 0.0904063 | − | 0.512719i | ||||
\(969\) | −18.8373 | + | 5.15125i | −0.605142 | + | 0.165482i | ||||
\(970\) | 1.64724 | − | 1.38220i | 0.0528896 | − | 0.0443796i | ||||
\(971\) | 7.96527 | 0.255618 | 0.127809 | − | 0.991799i | \(-0.459206\pi\) | ||||
0.127809 | + | 0.991799i | \(0.459206\pi\) | |||||||
\(972\) | 14.2924 | + | 6.22318i | 0.458428 | + | 0.199608i | ||||
\(973\) | 2.26757 | 0.0726951 | ||||||||
\(974\) | −1.78689 | + | 1.49938i | −0.0572555 | + | 0.0480431i | ||||
\(975\) | 13.0650 | − | 3.57274i | 0.418414 | − | 0.114419i | ||||
\(976\) | −2.40588 | + | 13.6444i | −0.0770104 | + | 0.436748i | ||||
\(977\) | −26.9767 | + | 9.81870i | −0.863060 | + | 0.314128i | −0.735353 | − | 0.677684i | \(-0.762984\pi\) |
−0.127706 | + | 0.991812i | \(0.540762\pi\) | |||||||
\(978\) | 7.22632 | − | 10.4339i | 0.231072 | − | 0.333638i | ||||
\(979\) | −12.6575 | − | 71.7842i | −0.404535 | − | 2.29423i | ||||
\(980\) | −0.947779 | − | 1.64160i | −0.0302757 | − | 0.0524390i | ||||
\(981\) | −34.3122 | + | 20.2827i | −1.09551 | + | 0.647578i | ||||
\(982\) | −11.8669 | + | 20.5541i | −0.378688 | + | 0.655907i | ||||
\(983\) | 38.4209 | + | 13.9841i | 1.22544 | + | 0.446022i | 0.872032 | − | 0.489448i | \(-0.162802\pi\) |
0.353404 | + | 0.935471i | \(0.385024\pi\) | |||||||
\(984\) | −0.161049 | − | 1.73798i | −0.00513405 | − | 0.0554048i | ||||
\(985\) | 0.803564 | + | 0.674270i | 0.0256037 | + | 0.0214840i | ||||
\(986\) | 15.7419 | + | 13.2090i | 0.501325 | + | 0.420662i | ||||
\(987\) | −8.48272 | + | 6.00480i | −0.270008 | + | 0.191135i | ||||
\(988\) | 14.1689 | + | 5.15706i | 0.450773 | + | 0.164068i | ||||
\(989\) | 13.7678 | − | 23.8466i | 0.437792 | − | 0.758278i | ||||
\(990\) | −9.85663 | + | 27.9712i | −0.313264 | + | 0.888983i | ||||
\(991\) | 26.1038 | + | 45.2132i | 0.829216 | + | 1.43624i | 0.898654 | + | 0.438658i | \(0.144546\pi\) |
−0.0694380 | + | 0.997586i | \(0.522121\pi\) | |||||||
\(992\) | −1.79730 | − | 10.1930i | −0.0570645 | − | 0.323629i | ||||
\(993\) | 16.1528 | + | 34.1806i | 0.512594 | + | 1.08469i | ||||
\(994\) | −3.64341 | + | 1.32609i | −0.115562 | + | 0.0420611i | ||||
\(995\) | −1.36989 | + | 7.76901i | −0.0434283 | + | 0.246294i | ||||
\(996\) | 4.62791 | + | 4.58064i | 0.146641 | + | 0.145143i | ||||
\(997\) | 1.59761 | − | 1.34056i | 0.0505969 | − | 0.0424559i | −0.617139 | − | 0.786855i | \(-0.711708\pi\) |
0.667735 | + | 0.744399i | \(0.267264\pi\) | |||||||
\(998\) | 5.88605 | 0.186320 | ||||||||
\(999\) | 15.0581 | + | 52.9233i | 0.476416 | + | 1.67442i |
(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 | 378.2.u.b.211.1 | yes | 12 | |
27.16 | even | 9 | inner | 378.2.u.b.43.1 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.b.43.1 | ✓ | 12 | 27.16 | even | 9 | inner | |
378.2.u.b.211.1 | yes | 12 | 1.1 | even | 1 | trivial |