Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), 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: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 7.9 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.3.j.a.31.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.21254 | + | 1.59051i | −0.606272 | + | 0.795257i | ||||
\(3\) | 1.49386 | + | 2.60161i | 0.497955 | + | 0.867203i | ||||
\(4\) | −1.05947 | − | 3.85714i | −0.264868 | − | 0.964285i | ||||
\(5\) | 0.0372686 | + | 0.211361i | 0.00745372 | + | 0.0422722i | 0.988308 | − | 0.152472i | \(-0.0487234\pi\) |
−0.980854 | + | 0.194744i | \(0.937612\pi\) | |||||||
\(6\) | −5.94927 | − | 0.778554i | −0.991546 | − | 0.129759i | ||||
\(7\) | −7.43930 | + | 8.86581i | −1.06276 | + | 1.26654i | −0.100345 | + | 0.994953i | \(0.531995\pi\) |
−0.962412 | + | 0.271592i | \(0.912450\pi\) | |||||||
\(8\) | 7.41949 | + | 2.99184i | 0.927437 | + | 0.373980i | ||||
\(9\) | −4.53674 | + | 7.77290i | −0.504082 | + | 0.863656i | ||||
\(10\) | −0.381362 | − | 0.197008i | −0.0381362 | − | 0.0197008i | ||||
\(11\) | 9.50415 | + | 1.67584i | 0.864014 | + | 0.152349i | 0.588055 | − | 0.808821i | \(-0.299894\pi\) |
0.275958 | + | 0.961170i | \(0.411005\pi\) | |||||||
\(12\) | 8.45206 | − | 8.51838i | 0.704338 | − | 0.709865i | ||||
\(13\) | −18.7145 | − | 6.81150i | −1.43957 | − | 0.523962i | −0.499915 | − | 0.866075i | \(-0.666635\pi\) |
−0.939659 | + | 0.342113i | \(0.888858\pi\) | |||||||
\(14\) | −5.08073 | − | 22.5825i | −0.362909 | − | 1.61304i | ||||
\(15\) | −0.494204 | + | 0.412703i | −0.0329469 | + | 0.0275135i | ||||
\(16\) | −13.7550 | + | 8.17307i | −0.859689 | + | 0.510817i | ||||
\(17\) | −0.856471 | − | 1.48345i | −0.0503806 | − | 0.0872618i | 0.839735 | − | 0.542996i | \(-0.182710\pi\) |
−0.890116 | + | 0.455734i | \(0.849377\pi\) | |||||||
\(18\) | −6.86191 | − | 16.6407i | −0.381217 | − | 0.924485i | ||||
\(19\) | 5.28896 | + | 3.05358i | 0.278366 | + | 0.160715i | 0.632683 | − | 0.774410i | \(-0.281953\pi\) |
−0.354317 | + | 0.935125i | \(0.615287\pi\) | |||||||
\(20\) | 0.775763 | − | 0.367681i | 0.0387881 | − | 0.0183841i | ||||
\(21\) | −34.1787 | − | 6.10984i | −1.62756 | − | 0.290945i | ||||
\(22\) | −14.1897 | + | 13.0845i | −0.644984 | + | 0.594748i | ||||
\(23\) | 20.2195 | + | 24.0967i | 0.879108 | + | 1.04768i | 0.998496 | + | 0.0548328i | \(0.0174626\pi\) |
−0.119387 | + | 0.992848i | \(0.538093\pi\) | |||||||
\(24\) | 3.30011 | + | 23.7720i | 0.137504 | + | 0.990501i | ||||
\(25\) | 23.4490 | − | 8.53475i | 0.937961 | − | 0.341390i | ||||
\(26\) | 33.5259 | − | 21.5064i | 1.28946 | − | 0.827168i | ||||
\(27\) | −26.9993 | − | 0.191178i | −0.999975 | − | 0.00708065i | ||||
\(28\) | 42.0784 | + | 19.3013i | 1.50280 | + | 0.689333i | ||||
\(29\) | 8.13847 | − | 2.96216i | 0.280637 | − | 0.102144i | −0.197867 | − | 0.980229i | \(-0.563401\pi\) |
0.478504 | + | 0.878085i | \(0.341179\pi\) | |||||||
\(30\) | −0.0571654 | − | 1.28646i | −0.00190551 | − | 0.0428820i | ||||
\(31\) | 0.101324 | + | 0.120753i | 0.00326852 | + | 0.00389527i | 0.767676 | − | 0.640838i | \(-0.221413\pi\) |
−0.764408 | + | 0.644733i | \(0.776968\pi\) | |||||||
\(32\) | 3.67919 | − | 31.7878i | 0.114975 | − | 0.993368i | ||||
\(33\) | 9.83803 | + | 27.2296i | 0.298122 | + | 0.825138i | ||||
\(34\) | 3.39796 | + | 0.436521i | 0.0999400 | + | 0.0128388i | ||||
\(35\) | −2.15114 | − | 1.24196i | −0.0614611 | − | 0.0354846i | ||||
\(36\) | 34.7877 | + | 9.26366i | 0.966325 | + | 0.257324i | ||||
\(37\) | 24.1007 | + | 41.7436i | 0.651369 | + | 1.12820i | 0.982791 | + | 0.184722i | \(0.0591383\pi\) |
−0.331422 | + | 0.943483i | \(0.607528\pi\) | |||||||
\(38\) | −11.2699 | + | 4.70956i | −0.296575 | + | 0.123936i | ||||
\(39\) | −10.2360 | − | 58.8632i | −0.262461 | − | 1.50931i | ||||
\(40\) | −0.355844 | + | 1.67969i | −0.00889610 | + | 0.0419923i | ||||
\(41\) | 19.2926 | + | 7.02193i | 0.470551 | + | 0.171267i | 0.566402 | − | 0.824129i | \(-0.308335\pi\) |
−0.0958510 | + | 0.995396i | \(0.530557\pi\) | |||||||
\(42\) | 51.1610 | − | 46.9533i | 1.21812 | − | 1.11793i | ||||
\(43\) | 45.0838 | + | 7.94949i | 1.04846 | + | 0.184872i | 0.671231 | − | 0.741248i | \(-0.265766\pi\) |
0.377229 | + | 0.926120i | \(0.376877\pi\) | |||||||
\(44\) | −3.60546 | − | 38.4343i | −0.0819422 | − | 0.873508i | ||||
\(45\) | −1.81196 | − | 0.669204i | −0.0402659 | − | 0.0148712i | ||||
\(46\) | −62.8431 | + | 2.94114i | −1.36615 | + | 0.0639379i | ||||
\(47\) | −23.9050 | + | 28.4889i | −0.508618 | + | 0.606147i | −0.957850 | − | 0.287268i | \(-0.907253\pi\) |
0.449233 | + | 0.893415i | \(0.351697\pi\) | |||||||
\(48\) | −41.8113 | − | 23.5758i | −0.871068 | − | 0.491162i | ||||
\(49\) | −14.7507 | − | 83.6553i | −0.301035 | − | 1.70725i | ||||
\(50\) | −14.8583 | + | 47.6448i | −0.297167 | + | 0.952896i | ||||
\(51\) | 2.57991 | − | 4.44428i | 0.0505865 | − | 0.0871427i | ||||
\(52\) | −6.44545 | + | 79.4009i | −0.123951 | + | 1.52694i | ||||
\(53\) | 98.4809 | 1.85813 | 0.929065 | − | 0.369917i | \(-0.120614\pi\) | ||||
0.929065 | + | 0.369917i | \(0.120614\pi\) | |||||||
\(54\) | 33.0419 | − | 42.7110i | 0.611888 | − | 0.790945i | ||||
\(55\) | 2.07126i | 0.0376593i | ||||||||
\(56\) | −81.7210 | + | 43.5226i | −1.45930 | + | 0.777190i | ||||
\(57\) | −0.0432430 | + | 18.3214i | −0.000758649 | + | 0.321429i | ||||
\(58\) | −5.15690 | + | 16.5361i | −0.0889120 | + | 0.285105i | ||||
\(59\) | 12.4095 | − | 2.18814i | 0.210331 | − | 0.0370871i | −0.0674896 | − | 0.997720i | \(-0.521499\pi\) |
0.277821 | + | 0.960633i | \(0.410388\pi\) | |||||||
\(60\) | 2.11545 | + | 1.46897i | 0.0352574 | + | 0.0244828i | ||||
\(61\) | −62.8227 | − | 52.7145i | −1.02988 | − | 0.864172i | −0.0390434 | − | 0.999238i | \(-0.512431\pi\) |
−0.990837 | + | 0.135065i | \(0.956876\pi\) | |||||||
\(62\) | −0.314920 | + | 0.0147387i | −0.00507936 | + | 0.000237721i | ||||
\(63\) | −35.1629 | − | 98.0469i | −0.558141 | − | 1.55630i | ||||
\(64\) | 46.0978 | + | 44.3959i | 0.720277 | + | 0.693686i | ||||
\(65\) | 0.742223 | − | 4.20936i | 0.0114188 | − | 0.0647593i | ||||
\(66\) | −55.2381 | − | 17.3695i | −0.836941 | − | 0.263175i | ||||
\(67\) | −18.1950 | + | 49.9905i | −0.271568 | + | 0.746126i | 0.726681 | + | 0.686975i | \(0.241062\pi\) |
−0.998249 | + | 0.0591515i | \(0.981160\pi\) | |||||||
\(68\) | −4.81447 | + | 4.87520i | −0.0708010 | + | 0.0716942i | ||||
\(69\) | −32.4849 | + | 88.6003i | −0.470796 | + | 1.28406i | ||||
\(70\) | 4.58370 | − | 1.91548i | 0.0654815 | − | 0.0273641i | ||||
\(71\) | −65.5561 | + | 37.8488i | −0.923325 | + | 0.533082i | −0.884694 | − | 0.466172i | \(-0.845633\pi\) |
−0.0386308 | + | 0.999254i | \(0.512300\pi\) | |||||||
\(72\) | −56.9156 | + | 44.0978i | −0.790495 | + | 0.612469i | ||||
\(73\) | 13.3902 | − | 23.1924i | 0.183427 | − | 0.317705i | −0.759618 | − | 0.650369i | \(-0.774614\pi\) |
0.943045 | + | 0.332664i | \(0.107948\pi\) | |||||||
\(74\) | −95.6168 | − | 12.2835i | −1.29212 | − | 0.165993i | ||||
\(75\) | 57.2337 | + | 48.2555i | 0.763117 | + | 0.643406i | ||||
\(76\) | 6.17457 | − | 23.6354i | 0.0812444 | − | 0.310992i | ||||
\(77\) | −85.5619 | + | 71.7950i | −1.11119 | + | 0.932402i | ||||
\(78\) | 106.034 | + | 55.0937i | 1.35941 | + | 0.706330i | ||||
\(79\) | −39.9006 | − | 109.626i | −0.505071 | − | 1.38767i | −0.886266 | − | 0.463177i | \(-0.846709\pi\) |
0.381194 | − | 0.924495i | \(-0.375513\pi\) | |||||||
\(80\) | −2.24010 | − | 2.60268i | −0.0280012 | − | 0.0325334i | ||||
\(81\) | −39.8359 | − | 70.5273i | −0.491802 | − | 0.870707i | ||||
\(82\) | −34.5616 | + | 22.1707i | −0.421483 | + | 0.270375i | ||||
\(83\) | −38.5038 | − | 105.788i | −0.463901 | − | 1.27456i | −0.922529 | − | 0.385928i | \(-0.873881\pi\) |
0.458628 | − | 0.888628i | \(-0.348341\pi\) | |||||||
\(84\) | 12.6449 | + | 138.305i | 0.150535 | + | 1.64649i | ||||
\(85\) | 0.281624 | − | 0.236311i | 0.00331322 | − | 0.00278012i | ||||
\(86\) | −67.3098 | + | 62.0673i | −0.782672 | + | 0.721713i | ||||
\(87\) | 19.8642 | + | 16.7481i | 0.228324 | + | 0.192506i | ||||
\(88\) | 65.5022 | + | 40.8688i | 0.744343 | + | 0.464418i | ||||
\(89\) | 59.4575 | − | 102.983i | 0.668061 | − | 1.15712i | −0.310384 | − | 0.950611i | \(-0.600458\pi\) |
0.978446 | − | 0.206505i | \(-0.0662089\pi\) | |||||||
\(90\) | 3.26147 | − | 2.07052i | 0.0362385 | − | 0.0230057i | ||||
\(91\) | 199.612 | − | 115.246i | 2.19354 | − | 1.26644i | ||||
\(92\) | 71.5221 | − | 103.519i | 0.777414 | − | 1.12521i | ||||
\(93\) | −0.162789 | + | 0.443995i | −0.00175042 | + | 0.00477414i | ||||
\(94\) | −16.3261 | − | 72.5654i | −0.173682 | − | 0.771972i | ||||
\(95\) | −0.448295 | + | 1.23168i | −0.00471889 | + | 0.0129651i | ||||
\(96\) | 88.1956 | − | 37.9148i | 0.918704 | − | 0.394946i | ||||
\(97\) | −4.27138 | + | 24.2242i | −0.0440349 | + | 0.249734i | −0.998877 | − | 0.0473796i | \(-0.984913\pi\) |
0.954842 | + | 0.297114i | \(0.0960241\pi\) | |||||||
\(98\) | 150.941 | + | 77.9746i | 1.54021 | + | 0.795659i | ||||
\(99\) | −56.1440 | + | 66.2720i | −0.567111 | + | 0.669414i | ||||
\(100\) | −57.7633 | − | 81.4038i | −0.577633 | − | 0.814038i | ||||
\(101\) | 36.2218 | + | 30.3937i | 0.358632 | + | 0.300928i | 0.804245 | − | 0.594298i | \(-0.202570\pi\) |
−0.445613 | + | 0.895226i | \(0.647014\pi\) | |||||||
\(102\) | 3.94043 | + | 9.49227i | 0.0386317 | + | 0.0930614i | ||||
\(103\) | −52.3436 | + | 9.22958i | −0.508190 | + | 0.0896076i | −0.421864 | − | 0.906659i | \(-0.638624\pi\) |
−0.0863264 | + | 0.996267i | \(0.527513\pi\) | |||||||
\(104\) | −118.473 | − | 106.529i | −1.13916 | − | 1.02431i | ||||
\(105\) | 0.0175879 | − | 7.45174i | 0.000167504 | − | 0.0709689i | ||||
\(106\) | −119.412 | + | 156.635i | −1.12653 | + | 1.47769i | ||||
\(107\) | 31.1755i | 0.291360i | 0.989332 | + | 0.145680i | \(0.0465369\pi\) | ||||
−0.989332 | + | 0.145680i | \(0.953463\pi\) | |||||||
\(108\) | 27.8677 | + | 104.343i | 0.258034 | + | 0.966136i | ||||
\(109\) | 62.5881 | 0.574203 | 0.287101 | − | 0.957900i | \(-0.407308\pi\) | ||||
0.287101 | + | 0.957900i | \(0.407308\pi\) | |||||||
\(110\) | −3.29437 | − | 2.51150i | −0.0299488 | − | 0.0228318i | ||||
\(111\) | −72.5973 | + | 125.060i | −0.654030 | + | 1.12666i | ||||
\(112\) | 29.8669 | − | 182.751i | 0.266669 | − | 1.63171i | ||||
\(113\) | 22.6665 | + | 128.548i | 0.200589 | + | 1.13760i | 0.904232 | + | 0.427042i | \(0.140444\pi\) |
−0.703643 | + | 0.710554i | \(0.748445\pi\) | |||||||
\(114\) | −29.0881 | − | 22.2843i | −0.255158 | − | 0.195476i | ||||
\(115\) | −4.33953 | + | 5.17166i | −0.0377351 | + | 0.0449709i | ||||
\(116\) | −20.0480 | − | 28.2529i | −0.172827 | − | 0.243559i | ||||
\(117\) | 137.848 | − | 114.564i | 1.17819 | − | 0.979176i | ||||
\(118\) | −11.5668 | + | 22.3908i | −0.0980241 | + | 0.189752i | ||||
\(119\) | 19.5236 | + | 3.44253i | 0.164063 | + | 0.0289288i | ||||
\(120\) | −4.90148 | + | 1.58346i | −0.0408457 | + | 0.0131955i | ||||
\(121\) | −26.1823 | − | 9.52958i | −0.216383 | − | 0.0787569i | ||||
\(122\) | 160.018 | − | 36.0018i | 1.31163 | − | 0.295096i | ||||
\(123\) | 10.5522 | + | 60.6816i | 0.0857901 | + | 0.493346i | ||||
\(124\) | 0.358412 | − | 0.518756i | 0.00289042 | − | 0.00418352i | ||||
\(125\) | 5.36059 | + | 9.28482i | 0.0428847 | + | 0.0742785i | ||||
\(126\) | 198.582 | + | 62.9590i | 1.57604 | + | 0.499675i | ||||
\(127\) | −26.2396 | − | 15.1494i | −0.206611 | − | 0.119287i | 0.393124 | − | 0.919485i | \(-0.371394\pi\) |
−0.599735 | + | 0.800198i | \(0.704727\pi\) | |||||||
\(128\) | −126.508 | + | 19.4872i | −0.988343 | + | 0.152243i | ||||
\(129\) | 46.6676 | + | 129.166i | 0.361764 | + | 1.00129i | ||||
\(130\) | 5.79507 | + | 6.28455i | 0.0445774 | + | 0.0483427i | ||||
\(131\) | 118.464 | + | 141.179i | 0.904302 | + | 1.07770i | 0.996634 | + | 0.0819767i | \(0.0261233\pi\) |
−0.0923324 | + | 0.995728i | \(0.529432\pi\) | |||||||
\(132\) | 94.6051 | − | 66.7957i | 0.716705 | − | 0.506028i | ||||
\(133\) | −66.4186 | + | 24.1744i | −0.499388 | + | 0.181762i | ||||
\(134\) | −57.4483 | − | 89.5551i | −0.428718 | − | 0.668322i | ||||
\(135\) | −0.965820 | − | 5.71372i | −0.00715422 | − | 0.0423239i | ||||
\(136\) | −1.91633 | − | 13.5689i | −0.0140907 | − | 0.0997712i | ||||
\(137\) | −23.6048 | + | 8.59145i | −0.172298 | + | 0.0627113i | −0.426729 | − | 0.904380i | \(-0.640334\pi\) |
0.254431 | + | 0.967091i | \(0.418112\pi\) | |||||||
\(138\) | −101.531 | − | 159.100i | −0.735730 | − | 1.15290i | ||||
\(139\) | −5.61100 | − | 6.68693i | −0.0403669 | − | 0.0481074i | 0.745483 | − | 0.666524i | \(-0.232219\pi\) |
−0.785850 | + | 0.618417i | \(0.787774\pi\) | |||||||
\(140\) | −2.51134 | + | 9.61306i | −0.0179381 | + | 0.0686647i | ||||
\(141\) | −109.828 | − | 19.6330i | −0.778921 | − | 0.139241i | ||||
\(142\) | 19.2905 | − | 150.161i | 0.135849 | − | 1.05747i | ||||
\(143\) | −166.450 | − | 96.1000i | −1.16399 | − | 0.672028i | ||||
\(144\) | −1.12543 | − | 143.996i | −0.00781551 | − | 0.999969i | ||||
\(145\) | 0.929394 | + | 1.60976i | 0.00640962 | + | 0.0111018i | ||||
\(146\) | 20.6518 | + | 49.4191i | 0.141450 | + | 0.338487i | ||||
\(147\) | 195.603 | − | 163.345i | 1.33063 | − | 1.11119i | ||||
\(148\) | 135.477 | − | 137.186i | 0.915383 | − | 0.926931i | ||||
\(149\) | −9.12132 | − | 3.31989i | −0.0612169 | − | 0.0222811i | 0.311230 | − | 0.950335i | \(-0.399259\pi\) |
−0.372447 | + | 0.928053i | \(0.621481\pi\) | |||||||
\(150\) | −146.149 | + | 32.5192i | −0.974330 | + | 0.216795i | ||||
\(151\) | −92.5096 | − | 16.3119i | −0.612646 | − | 0.108026i | −0.141289 | − | 0.989968i | \(-0.545125\pi\) |
−0.471357 | + | 0.881942i | \(0.656236\pi\) | |||||||
\(152\) | 30.1055 | + | 38.4797i | 0.198063 | + | 0.253156i | ||||
\(153\) | 15.4163 | + | 0.0727728i | 0.100760 | + | 0.000475639i | ||||
\(154\) | −10.4434 | − | 223.142i | −0.0678140 | − | 1.44897i | ||||
\(155\) | −0.0217463 | + | 0.0259163i | −0.000140299 | + | 0.000167202i | ||||
\(156\) | −216.199 | + | 101.846i | −1.38589 | + | 0.652856i | ||||
\(157\) | −23.4101 | − | 132.765i | −0.149109 | − | 0.845639i | −0.963976 | − | 0.265991i | \(-0.914301\pi\) |
0.814867 | − | 0.579649i | \(-0.196810\pi\) | |||||||
\(158\) | 222.743 | + | 69.4639i | 1.40977 | + | 0.439645i | ||||
\(159\) | 147.117 | + | 256.209i | 0.925264 | + | 1.61138i | ||||
\(160\) | 6.85581 | − | 0.407050i | 0.0428488 | − | 0.00254406i | ||||
\(161\) | −364.055 | −2.26121 | ||||||||
\(162\) | 160.478 | + | 22.1578i | 0.990602 | + | 0.136777i | ||||
\(163\) | 202.543i | 1.24260i | 0.783575 | + | 0.621298i | \(0.213394\pi\) | ||||
−0.783575 | + | 0.621298i | \(0.786606\pi\) | |||||||
\(164\) | 6.64456 | − | 81.8537i | 0.0405156 | − | 0.499108i | ||||
\(165\) | −5.38861 | + | 3.09418i | −0.0326583 | + | 0.0187526i | ||||
\(166\) | 214.945 | + | 67.0321i | 1.29485 | + | 0.403808i | ||||
\(167\) | 147.033 | − | 25.9260i | 0.880440 | − | 0.155245i | 0.284887 | − | 0.958561i | \(-0.408044\pi\) |
0.595553 | + | 0.803316i | \(0.296933\pi\) | |||||||
\(168\) | −235.309 | − | 147.589i | −1.40065 | − | 0.878507i | ||||
\(169\) | 174.373 | + | 146.316i | 1.03179 | + | 0.865776i | ||||
\(170\) | 0.0343739 | + | 0.734464i | 0.000202200 | + | 0.00432038i | ||||
\(171\) | −47.7298 | + | 27.2572i | −0.279122 | + | 0.159399i | ||||
\(172\) | −17.1028 | − | 182.317i | −0.0994349 | − | 1.05998i | ||||
\(173\) | 54.2893 | − | 307.890i | 0.313811 | − | 1.77971i | −0.264998 | − | 0.964249i | \(-0.585371\pi\) |
0.578809 | − | 0.815463i | \(-0.303518\pi\) | |||||||
\(174\) | −50.7242 | + | 11.2865i | −0.291518 | + | 0.0648648i | ||||
\(175\) | −98.7769 | + | 271.387i | −0.564439 | + | 1.55078i | ||||
\(176\) | −144.427 | + | 54.6269i | −0.820606 | + | 0.310380i | ||||
\(177\) | 24.2308 | + | 29.0160i | 0.136897 | + | 0.163932i | ||||
\(178\) | 91.7017 | + | 219.440i | 0.515178 | + | 1.23281i | ||||
\(179\) | −23.2554 | + | 13.4265i | −0.129919 | + | 0.0750086i | −0.563551 | − | 0.826081i | \(-0.690565\pi\) |
0.433632 | + | 0.901090i | \(0.357232\pi\) | |||||||
\(180\) | −0.661485 | + | 7.69800i | −0.00367492 | + | 0.0427667i | ||||
\(181\) | −144.044 | + | 249.492i | −0.795823 | + | 1.37841i | 0.126492 | + | 0.991968i | \(0.459628\pi\) |
−0.922315 | + | 0.386439i | \(0.873705\pi\) | |||||||
\(182\) | −58.7378 | + | 457.227i | −0.322735 | + | 2.51223i | ||||
\(183\) | 43.2940 | − | 242.188i | 0.236579 | − | 1.32343i | ||||
\(184\) | 77.9250 | + | 239.278i | 0.423505 | + | 1.30043i | ||||
\(185\) | −7.92475 | + | 6.64966i | −0.0428365 | + | 0.0359441i | ||||
\(186\) | −0.508792 | − | 0.797281i | −0.00273544 | − | 0.00428646i | ||||
\(187\) | −5.65401 | − | 15.5343i | −0.0302353 | − | 0.0830709i | ||||
\(188\) | 135.212 | + | 62.0218i | 0.719215 | + | 0.329903i | ||||
\(189\) | 202.551 | − | 237.949i | 1.07170 | − | 1.25899i | ||||
\(190\) | −1.41543 | − | 2.20649i | −0.00744962 | − | 0.0116131i | ||||
\(191\) | −77.1124 | − | 211.865i | −0.403730 | − | 1.10924i | −0.960429 | − | 0.278525i | \(-0.910155\pi\) |
0.556699 | − | 0.830714i | \(-0.312068\pi\) | |||||||
\(192\) | −46.6370 | + | 186.250i | −0.242901 | + | 0.970051i | ||||
\(193\) | −157.892 | + | 132.487i | −0.818095 | + | 0.686463i | −0.952525 | − | 0.304460i | \(-0.901524\pi\) |
0.134430 | + | 0.990923i | \(0.457080\pi\) | |||||||
\(194\) | −33.3497 | − | 36.1666i | −0.171906 | − | 0.186426i | ||||
\(195\) | 12.0599 | − | 4.35723i | 0.0618456 | − | 0.0223448i | ||||
\(196\) | −307.042 | + | 145.526i | −1.56654 | + | 0.742480i | ||||
\(197\) | −63.0398 | + | 109.188i | −0.319999 | + | 0.554255i | −0.980487 | − | 0.196581i | \(-0.937016\pi\) |
0.660488 | + | 0.750836i | \(0.270349\pi\) | |||||||
\(198\) | −37.3295 | − | 169.656i | −0.188533 | − | 0.856846i | ||||
\(199\) | 64.5454 | − | 37.2653i | 0.324348 | − | 0.187263i | −0.328981 | − | 0.944337i | \(-0.606705\pi\) |
0.653329 | + | 0.757074i | \(0.273372\pi\) | |||||||
\(200\) | 199.515 | + | 6.83229i | 0.997573 | + | 0.0341614i | ||||
\(201\) | −157.237 | + | 27.3426i | −0.782272 | + | 0.136033i | ||||
\(202\) | −92.2623 | + | 20.7576i | −0.456744 | + | 0.102761i | ||||
\(203\) | −34.2826 | + | 94.1906i | −0.168880 | + | 0.463993i | ||||
\(204\) | −19.8755 | − | 5.24248i | −0.0974291 | − | 0.0256984i | ||||
\(205\) | −0.765152 | + | 4.33939i | −0.00373245 | + | 0.0211678i | ||||
\(206\) | 48.7891 | − | 94.4445i | 0.236840 | − | 0.458468i | ||||
\(207\) | −279.031 | + | 47.8438i | −1.34798 | + | 0.231129i | ||||
\(208\) | 313.089 | − | 59.2621i | 1.50523 | − | 0.284914i | ||||
\(209\) | 45.1497 | + | 37.8851i | 0.216027 | + | 0.181269i | ||||
\(210\) | 11.8308 | + | 9.06354i | 0.0563370 | + | 0.0431597i | ||||
\(211\) | 26.9666 | − | 4.75493i | 0.127804 | − | 0.0225352i | −0.109380 | − | 0.994000i | \(-0.534887\pi\) |
0.237184 | + | 0.971465i | \(0.423776\pi\) | |||||||
\(212\) | −104.338 | − | 379.854i | −0.492160 | − | 1.79177i | ||||
\(213\) | −196.400 | − | 114.010i | −0.922064 | − | 0.535260i | ||||
\(214\) | −49.5850 | − | 37.8016i | −0.231706 | − | 0.176643i | ||||
\(215\) | 9.82521i | 0.0456986i | ||||||||
\(216\) | −199.749 | − | 82.1962i | −0.924765 | − | 0.380538i | ||||
\(217\) | −1.82436 | −0.00840718 | ||||||||
\(218\) | −75.8908 | + | 99.5473i | −0.348123 | + | 0.456639i | ||||
\(219\) | 80.3408 | + | 0.189624i | 0.366853 | + | 0.000865861i | ||||
\(220\) | 7.98914 | − | 2.19445i | 0.0363143 | − | 0.00997476i | ||||
\(221\) | 5.92385 | + | 33.5958i | 0.0268048 | + | 0.152017i | ||||
\(222\) | −110.882 | − | 267.108i | −0.499467 | − | 1.20319i | ||||
\(223\) | 25.4525 | − | 30.3332i | 0.114137 | − | 0.136023i | −0.705951 | − | 0.708261i | \(-0.749480\pi\) |
0.820088 | + | 0.572238i | \(0.193925\pi\) | |||||||
\(224\) | 254.454 | + | 269.098i | 1.13596 | + | 1.20133i | ||||
\(225\) | −40.0425 | + | 220.987i | −0.177966 | + | 0.982164i | ||||
\(226\) | −231.942 | − | 119.819i | −1.02629 | − | 0.530173i | ||||
\(227\) | 367.121 | + | 64.7334i | 1.61727 | + | 0.285169i | 0.907750 | − | 0.419512i | \(-0.137799\pi\) |
0.709524 | + | 0.704681i | \(0.248910\pi\) | |||||||
\(228\) | 70.7141 | − | 19.2443i | 0.310150 | − | 0.0844047i | ||||
\(229\) | 270.130 | + | 98.3193i | 1.17961 | + | 0.429342i | 0.856063 | − | 0.516871i | \(-0.172903\pi\) |
0.323544 | + | 0.946213i | \(0.395126\pi\) | |||||||
\(230\) | −2.96372 | − | 13.1730i | −0.0128857 | − | 0.0572737i | ||||
\(231\) | −314.600 | − | 115.347i | −1.36191 | − | 0.499337i | ||||
\(232\) | 69.2457 | + | 2.37129i | 0.298473 | + | 0.0102211i | ||||
\(233\) | −183.876 | − | 318.482i | −0.789166 | − | 1.36688i | −0.926478 | − | 0.376348i | \(-0.877180\pi\) |
0.137312 | − | 0.990528i | \(-0.456154\pi\) | |||||||
\(234\) | 15.0685 | + | 358.162i | 0.0643951 | + | 1.53061i | ||||
\(235\) | −6.91234 | − | 3.99084i | −0.0294142 | − | 0.0169823i | ||||
\(236\) | −21.5875 | − | 45.5470i | −0.0914725 | − | 0.192996i | ||||
\(237\) | 225.598 | − | 267.572i | 0.951891 | − | 1.12900i | ||||
\(238\) | −29.1486 | + | 26.8783i | −0.122473 | + | 0.112934i | ||||
\(239\) | −114.381 | − | 136.314i | −0.478581 | − | 0.570350i | 0.471694 | − | 0.881762i | \(-0.343643\pi\) |
−0.950275 | + | 0.311412i | \(0.899198\pi\) | |||||||
\(240\) | 3.42474 | − | 9.71590i | 0.0142698 | − | 0.0404829i | ||||
\(241\) | 327.606 | − | 119.239i | 1.35936 | − | 0.494766i | 0.443503 | − | 0.896273i | \(-0.353736\pi\) |
0.915856 | + | 0.401507i | \(0.131513\pi\) | |||||||
\(242\) | 46.9041 | − | 30.0883i | 0.193819 | − | 0.124332i | ||||
\(243\) | 123.975 | − | 208.996i | 0.510185 | − | 0.860065i | ||||
\(244\) | −136.768 | + | 298.165i | −0.560525 | + | 1.22199i | ||||
\(245\) | 17.1317 | − | 6.23544i | 0.0699254 | − | 0.0254508i | ||||
\(246\) | −109.310 | − | 56.7957i | −0.444349 | − | 0.230877i | ||||
\(247\) | −78.1804 | − | 93.1718i | −0.316520 | − | 0.377214i | ||||
\(248\) | 0.390499 | + | 1.19907i | 0.00157459 | + | 0.00483498i | ||||
\(249\) | 217.700 | − | 258.205i | 0.874298 | − | 1.03697i | ||||
\(250\) | −21.2676 | − | 2.73215i | −0.0850704 | − | 0.0109286i | ||||
\(251\) | 110.893 | + | 64.0244i | 0.441806 | + | 0.255077i | 0.704364 | − | 0.709839i | \(-0.251232\pi\) |
−0.262557 | + | 0.964916i | \(0.584566\pi\) | |||||||
\(252\) | −340.926 | + | 239.506i | −1.35288 | + | 0.950421i | ||||
\(253\) | 151.787 | + | 262.903i | 0.599949 | + | 1.03914i | ||||
\(254\) | 55.9120 | − | 23.3651i | 0.220126 | − | 0.0919885i | ||||
\(255\) | 1.03550 | + | 0.379660i | 0.00406077 | + | 0.00148886i | ||||
\(256\) | 122.402 | − | 224.842i | 0.478132 | − | 0.878288i | ||||
\(257\) | −251.532 | − | 91.5503i | −0.978725 | − | 0.356227i | −0.197381 | − | 0.980327i | \(-0.563244\pi\) |
−0.781344 | + | 0.624100i | \(0.785466\pi\) | |||||||
\(258\) | −262.027 | − | 82.3938i | −1.01561 | − | 0.319356i | ||||
\(259\) | −549.383 | − | 96.8710i | −2.12117 | − | 0.374019i | ||||
\(260\) | −17.0224 | + | 1.59684i | −0.0654709 | + | 0.00614171i | ||||
\(261\) | −13.8976 | + | 76.6981i | −0.0532474 | + | 0.293862i | ||||
\(262\) | −368.190 | + | 17.2318i | −1.40531 | + | 0.0657702i | ||||
\(263\) | 167.815 | − | 199.995i | 0.638081 | − | 0.760436i | −0.345985 | − | 0.938240i | \(-0.612455\pi\) |
0.984066 | + | 0.177805i | \(0.0568995\pi\) | |||||||
\(264\) | −8.47336 | + | 231.463i | −0.0320961 | + | 0.876755i | ||||
\(265\) | 3.67024 | + | 20.8150i | 0.0138500 | + | 0.0785471i | ||||
\(266\) | 42.0858 | − | 134.952i | 0.158217 | − | 0.507339i | ||||
\(267\) | 356.744 | + | 0.842001i | 1.33612 | + | 0.00315356i | ||||
\(268\) | 212.097 | + | 17.2172i | 0.791408 | + | 0.0642434i | ||||
\(269\) | 316.834 | 1.17782 | 0.588910 | − | 0.808199i | \(-0.299557\pi\) | ||||
0.588910 | + | 0.808199i | \(0.299557\pi\) | |||||||
\(270\) | 10.2589 | + | 5.39199i | 0.0379958 | + | 0.0199703i | ||||
\(271\) | − | 175.899i | − | 0.649072i | −0.945873 | − | 0.324536i | \(-0.894792\pi\) | ||
0.945873 | − | 0.324536i | \(-0.105208\pi\) | |||||||
\(272\) | 23.9051 | + | 13.4049i | 0.0878865 | + | 0.0492828i | ||||
\(273\) | 598.018 | + | 347.151i | 2.19054 | + | 1.27161i | ||||
\(274\) | 14.9571 | − | 47.9613i | 0.0545878 | − | 0.175041i | ||||
\(275\) | 237.166 | − | 41.8188i | 0.862422 | − | 0.152068i | ||||
\(276\) | 376.161 | + | 31.4291i | 1.36290 | + | 0.113873i | ||||
\(277\) | 12.2521 | + | 10.2807i | 0.0442313 | + | 0.0371144i | 0.664635 | − | 0.747168i | \(-0.268587\pi\) |
−0.620404 | + | 0.784282i | \(0.713031\pi\) | |||||||
\(278\) | 17.4392 | − | 0.816180i | 0.0627311 | − | 0.00293590i | ||||
\(279\) | −1.39829 | + | 0.239755i | −0.00501178 | + | 0.000859338i | ||||
\(280\) | −12.2446 | − | 15.6506i | −0.0437307 | − | 0.0558949i | ||||
\(281\) | −55.2824 | + | 313.522i | −0.196734 | + | 1.11574i | 0.713193 | + | 0.700968i | \(0.247248\pi\) |
−0.909927 | + | 0.414768i | \(0.863863\pi\) | |||||||
\(282\) | 164.398 | − | 150.877i | 0.582971 | − | 0.535025i | ||||
\(283\) | −70.4466 | + | 193.550i | −0.248928 | + | 0.683924i | 0.750798 | + | 0.660531i | \(0.229669\pi\) |
−0.999726 | + | 0.0233925i | \(0.992553\pi\) | |||||||
\(284\) | 215.443 | + | 212.759i | 0.758602 | + | 0.749152i | ||||
\(285\) | −3.87404 | + | 0.673674i | −0.0135931 | + | 0.00236377i | ||||
\(286\) | 354.677 | − | 148.216i | 1.24013 | − | 0.518237i | ||||
\(287\) | −205.778 | + | 118.806i | −0.716998 | + | 0.413959i | ||||
\(288\) | 230.392 | + | 172.811i | 0.799971 | + | 0.600038i | ||||
\(289\) | 143.033 | − | 247.740i | 0.494924 | − | 0.857233i | ||||
\(290\) | −3.68728 | − | 0.473688i | −0.0127147 | − | 0.00163341i | ||||
\(291\) | −69.4028 | + | 25.0752i | −0.238498 | + | 0.0861691i | ||||
\(292\) | −103.643 | − | 27.0759i | −0.354942 | − | 0.0927258i | ||||
\(293\) | 74.1234 | − | 62.1969i | 0.252981 | − | 0.212276i | −0.507474 | − | 0.861667i | \(-0.669421\pi\) |
0.760455 | + | 0.649391i | \(0.224976\pi\) | |||||||
\(294\) | 22.6257 | + | 509.173i | 0.0769582 | + | 1.73188i | ||||
\(295\) | 0.924972 | + | 2.54134i | 0.00313550 | + | 0.00861471i | ||||
\(296\) | 53.9245 | + | 381.821i | 0.182177 | + | 1.28994i | ||||
\(297\) | −256.285 | − | 47.0635i | −0.862914 | − | 0.158463i | ||||
\(298\) | 16.3403 | − | 10.4821i | 0.0548333 | − | 0.0351748i | ||||
\(299\) | −214.262 | − | 588.681i | −0.716596 | − | 1.96883i | ||||
\(300\) | 125.490 | − | 271.884i | 0.418301 | − | 0.906279i | ||||
\(301\) | −405.870 | + | 340.566i | −1.34841 | + | 1.13145i | ||||
\(302\) | 138.116 | − | 127.359i | 0.457339 | − | 0.421718i | ||||
\(303\) | −24.9621 | + | 139.639i | −0.0823833 | + | 0.460855i | ||||
\(304\) | −97.7069 | + | 1.22492i | −0.321404 | + | 0.00402935i | ||||
\(305\) | 8.80046 | − | 15.2428i | 0.0288540 | − | 0.0499765i | ||||
\(306\) | −18.8087 | + | 24.4316i | −0.0614663 | + | 0.0798419i | ||||
\(307\) | −234.193 | + | 135.212i | −0.762845 | + | 0.440429i | −0.830316 | − | 0.557293i | \(-0.811840\pi\) |
0.0674715 | + | 0.997721i | \(0.478507\pi\) | |||||||
\(308\) | 367.574 | + | 253.959i | 1.19342 | + | 0.824543i | ||||
\(309\) | −102.206 | − | 122.390i | −0.330764 | − | 0.396083i | ||||
\(310\) | −0.0148518 | − | 0.0660125i | −4.79091e−5 | − | 0.000212943i | ||||
\(311\) | −6.59888 | + | 18.1303i | −0.0212183 | + | 0.0582967i | −0.949850 | − | 0.312707i | \(-0.898764\pi\) |
0.928631 | + | 0.371004i | \(0.120986\pi\) | |||||||
\(312\) | 100.164 | − | 467.359i | 0.321037 | − | 1.49795i | ||||
\(313\) | 84.3023 | − | 478.102i | 0.269337 | − | 1.52748i | −0.487059 | − | 0.873369i | \(-0.661930\pi\) |
0.756396 | − | 0.654114i | \(-0.226959\pi\) | |||||||
\(314\) | 239.551 | + | 123.750i | 0.762901 | + | 0.394107i | ||||
\(315\) | 19.4128 | − | 11.0861i | 0.0616279 | − | 0.0351941i | ||||
\(316\) | −380.569 | + | 270.048i | −1.20433 | + | 0.854583i | ||||
\(317\) | 420.029 | + | 352.446i | 1.32501 | + | 1.11182i | 0.985216 | + | 0.171318i | \(0.0548024\pi\) |
0.339796 | + | 0.940499i | \(0.389642\pi\) | |||||||
\(318\) | −585.890 | − | 76.6727i | −1.84242 | − | 0.241109i | ||||
\(319\) | 82.3134 | − | 14.5141i | 0.258036 | − | 0.0454987i | ||||
\(320\) | −7.66555 | + | 11.3978i | −0.0239549 | + | 0.0356182i | ||||
\(321\) | −81.1064 | + | 46.5719i | −0.252668 | + | 0.145084i | ||||
\(322\) | 441.433 | − | 579.035i | 1.37091 | − | 1.79825i | ||||
\(323\) | − | 10.4612i | − | 0.0323876i | ||||||
\(324\) | −229.828 | + | 228.375i | −0.709347 | + | 0.704860i | ||||
\(325\) | −496.970 | −1.52914 | ||||||||
\(326\) | −322.148 | − | 245.592i | −0.988183 | − | 0.753351i | ||||
\(327\) | 93.4981 | + | 162.830i | 0.285927 | + | 0.497950i | ||||
\(328\) | 122.133 | + | 109.820i | 0.372356 | + | 0.334816i | ||||
\(329\) | −74.7406 | − | 423.875i | −0.227175 | − | 1.28837i | ||||
\(330\) | 1.61259 | − | 12.3225i | 0.00488663 | − | 0.0373409i | ||||
\(331\) | 349.160 | − | 416.112i | 1.05486 | − | 1.25714i | 0.0895664 | − | 0.995981i | \(-0.471452\pi\) |
0.965297 | − | 0.261156i | \(-0.0841037\pi\) | |||||||
\(332\) | −367.246 | + | 260.594i | −1.10616 | + | 0.784922i | ||||
\(333\) | −433.807 | − | 2.04779i | −1.30272 | − | 0.00614952i | ||||
\(334\) | −137.049 | + | 265.295i | −0.410326 | + | 0.794297i | ||||
\(335\) | −11.2441 | − | 1.98264i | −0.0335646 | − | 0.00591834i | ||||
\(336\) | 520.065 | − | 195.304i | 1.54781 | − | 0.581261i | ||||
\(337\) | 187.444 | + | 68.2240i | 0.556214 | + | 0.202445i | 0.604805 | − | 0.796374i | \(-0.293251\pi\) |
−0.0485915 | + | 0.998819i | \(0.515473\pi\) | |||||||
\(338\) | −444.153 | + | 99.9277i | −1.31406 | + | 0.295644i | ||||
\(339\) | −300.572 | + | 251.003i | −0.886643 | + | 0.740422i | ||||
\(340\) | −1.20986 | − | 0.835898i | −0.00355840 | − | 0.00245852i | ||||
\(341\) | 0.760637 | + | 1.31746i | 0.00223061 | + | 0.00386352i | ||||
\(342\) | 14.5215 | − | 108.966i | 0.0424605 | − | 0.318613i | ||||
\(343\) | 360.283 | + | 208.010i | 1.05039 | + | 0.606442i | ||||
\(344\) | 310.715 | + | 193.865i | 0.903242 | + | 0.563560i | ||||
\(345\) | −19.9373 | − | 3.56402i | −0.0577893 | − | 0.0103305i | ||||
\(346\) | 423.876 | + | 459.678i | 1.22507 | + | 1.32855i | ||||
\(347\) | 19.9944 | + | 23.8284i | 0.0576208 | + | 0.0686697i | 0.794085 | − | 0.607807i | \(-0.207950\pi\) |
−0.736464 | + | 0.676477i | \(0.763506\pi\) | |||||||
\(348\) | 43.5540 | − | 94.3629i | 0.125155 | − | 0.271158i | ||||
\(349\) | −181.722 | + | 66.1414i | −0.520694 | + | 0.189517i | −0.588978 | − | 0.808149i | \(-0.700470\pi\) |
0.0682846 | + | 0.997666i | \(0.478247\pi\) | |||||||
\(350\) | −311.874 | − | 486.175i | −0.891069 | − | 1.38907i | ||||
\(351\) | 503.975 | + | 187.484i | 1.43583 | + | 0.534142i | ||||
\(352\) | 88.2388 | − | 295.950i | 0.250678 | − | 0.840768i | ||||
\(353\) | −247.782 | + | 90.1852i | −0.701932 | + | 0.255482i | −0.668235 | − | 0.743950i | \(-0.732950\pi\) |
−0.0336962 | + | 0.999432i | \(0.510728\pi\) | |||||||
\(354\) | −75.5313 | + | 3.35633i | −0.213365 | + | 0.00948115i | ||||
\(355\) | −10.4429 | − | 12.4454i | −0.0294167 | − | 0.0350575i | ||||
\(356\) | −460.215 | − | 120.228i | −1.29274 | − | 0.337718i | ||||
\(357\) | 20.2094 | + | 55.9353i | 0.0566090 | + | 0.156682i | ||||
\(358\) | 6.84315 | − | 53.2684i | 0.0191149 | − | 0.148794i | ||||
\(359\) | 250.254 | + | 144.484i | 0.697086 | + | 0.402463i | 0.806261 | − | 0.591560i | \(-0.201488\pi\) |
−0.109175 | + | 0.994023i | \(0.534821\pi\) | |||||||
\(360\) | −11.4417 | − | 10.3863i | −0.0317825 | − | 0.0288507i | ||||
\(361\) | −161.851 | − | 280.335i | −0.448342 | − | 0.776550i | ||||
\(362\) | −222.160 | − | 531.624i | −0.613702 | − | 1.46857i | ||||
\(363\) | −14.3206 | − | 82.3520i | −0.0394506 | − | 0.226865i | ||||
\(364\) | −656.004 | − | 647.831i | −1.80221 | − | 1.77976i | ||||
\(365\) | 5.40101 | + | 1.96581i | 0.0147973 | + | 0.00538577i | ||||
\(366\) | 332.708 | + | 362.524i | 0.909039 | + | 0.990502i | ||||
\(367\) | 443.020 | + | 78.1163i | 1.20714 | + | 0.212851i | 0.740782 | − | 0.671746i | \(-0.234455\pi\) |
0.466356 | + | 0.884597i | \(0.345566\pi\) | |||||||
\(368\) | −475.063 | − | 166.195i | −1.29093 | − | 0.451616i | ||||
\(369\) | −142.106 | + | 118.103i | −0.385112 | + | 0.320061i | ||||
\(370\) | −0.967265 | − | 20.6674i | −0.00261423 | − | 0.0558579i | ||||
\(371\) | −732.629 | + | 873.113i | −1.97474 | + | 2.35340i | ||||
\(372\) | 1.88502 | + | 0.157498i | 0.00506726 | + | 0.000423381i | ||||
\(373\) | −40.7778 | − | 231.262i | −0.109324 | − | 0.620006i | −0.989405 | − | 0.145183i | \(-0.953623\pi\) |
0.880081 | − | 0.474824i | \(-0.157488\pi\) | |||||||
\(374\) | 31.5632 | + | 9.84319i | 0.0843936 | + | 0.0263187i | ||||
\(375\) | −16.1475 | + | 27.8164i | −0.0430599 | + | 0.0741771i | ||||
\(376\) | −262.598 | + | 139.853i | −0.698398 | + | 0.371950i | ||||
\(377\) | −172.484 | −0.457517 | ||||||||
\(378\) | 132.859 | + | 610.684i | 0.351479 | + | 1.61557i | ||||
\(379\) | − | 24.5603i | − | 0.0648028i | −0.999475 | − | 0.0324014i | \(-0.989685\pi\) | ||
0.999475 | − | 0.0324014i | \(-0.0103155\pi\) | |||||||
\(380\) | 5.22572 | + | 0.424203i | 0.0137519 | + | 0.00111632i | ||||
\(381\) | 0.214537 | − | 90.8963i | 0.000563090 | − | 0.238573i | ||||
\(382\) | 430.476 | + | 134.247i | 1.12690 | + | 0.351431i | ||||
\(383\) | −586.109 | + | 103.347i | −1.53031 | + | 0.269835i | −0.874475 | − | 0.485070i | \(-0.838794\pi\) |
−0.655835 | + | 0.754905i | \(0.727683\pi\) | |||||||
\(384\) | −239.684 | − | 300.013i | −0.624176 | − | 0.781284i | ||||
\(385\) | −18.3634 | − | 15.4087i | −0.0476972 | − | 0.0400227i | ||||
\(386\) | −19.2717 | − | 411.777i | −0.0499267 | − | 1.06678i | ||||
\(387\) | −266.324 | + | 314.367i | −0.688176 | + | 0.812317i | ||||
\(388\) | 97.9615 | − | 9.18960i | 0.252478 | − | 0.0236845i | ||||
\(389\) | −57.6262 | + | 326.814i | −0.148139 | + | 0.840139i | 0.816654 | + | 0.577128i | \(0.195827\pi\) |
−0.964793 | + | 0.263011i | \(0.915284\pi\) | |||||||
\(390\) | −7.69290 | + | 24.4648i | −0.0197254 | + | 0.0627301i | ||||
\(391\) | 18.4288 | − | 50.6327i | 0.0471325 | − | 0.129495i | ||||
\(392\) | 140.841 | − | 664.812i | 0.359288 | − | 1.69595i | ||||
\(393\) | −190.325 | + | 519.099i | −0.484288 | + | 1.32086i | ||||
\(394\) | −97.2268 | − | 232.661i | −0.246769 | − | 0.590511i | ||||
\(395\) | 21.6836 | − | 12.5190i | 0.0548952 | − | 0.0316938i | ||||
\(396\) | 315.103 | + | 146.342i | 0.795715 | + | 0.369550i | ||||
\(397\) | −42.7323 | + | 74.0146i | −0.107638 | + | 0.186435i | −0.914813 | − | 0.403878i | \(-0.867662\pi\) |
0.807175 | + | 0.590312i | \(0.200995\pi\) | |||||||
\(398\) | −18.9931 | + | 147.846i | −0.0477214 | + | 0.371473i | ||||
\(399\) | −162.113 | − | 136.682i | −0.406297 | − | 0.342561i | ||||
\(400\) | −252.787 | + | 309.046i | −0.631968 | + | 0.772616i | ||||
\(401\) | 129.017 | − | 108.258i | 0.321738 | − | 0.269970i | −0.467586 | − | 0.883948i | \(-0.654876\pi\) |
0.789323 | + | 0.613978i | \(0.210432\pi\) | |||||||
\(402\) | 147.168 | − | 283.241i | 0.366088 | − | 0.704580i | ||||
\(403\) | −1.07371 | − | 2.95000i | −0.00266430 | − | 0.00732011i | ||||
\(404\) | 78.8568 | − | 171.914i | 0.195190 | − | 0.425530i | ||||
\(405\) | 13.4221 | − | 11.0482i | 0.0331409 | − | 0.0272795i | ||||
\(406\) | −108.242 | − | 168.737i | −0.266607 | − | 0.415609i | ||||
\(407\) | 159.101 | + | 437.126i | 0.390911 | + | 1.07402i | ||||
\(408\) | 32.4382 | − | 25.2556i | 0.0795054 | − | 0.0619010i | ||||
\(409\) | −106.572 | + | 89.4245i | −0.260567 | + | 0.218642i | −0.763707 | − | 0.645563i | \(-0.776623\pi\) |
0.503139 | + | 0.864205i | \(0.332178\pi\) | |||||||
\(410\) | −5.97409 | − | 6.47869i | −0.0145709 | − | 0.0158017i | ||||
\(411\) | −57.6140 | − | 48.5761i | −0.140180 | − | 0.118190i | ||||
\(412\) | 91.0564 | + | 192.118i | 0.221011 | + | 0.466306i | ||||
\(413\) | −72.9187 | + | 126.299i | −0.176559 | + | 0.305808i | ||||
\(414\) | 262.242 | − | 501.816i | 0.633434 | − | 1.21212i | ||||
\(415\) | 20.9245 | − | 12.0808i | 0.0504205 | − | 0.0291103i | ||||
\(416\) | −285.377 | + | 569.830i | −0.686002 | + | 1.36978i | ||||
\(417\) | 9.01471 | − | 24.5870i | 0.0216180 | − | 0.0589616i | ||||
\(418\) | −115.003 | + | 25.8739i | −0.275127 | + | 0.0618993i | ||||
\(419\) | 48.4909 | − | 133.228i | 0.115730 | − | 0.317966i | −0.868281 | − | 0.496073i | \(-0.834775\pi\) |
0.984011 | + | 0.178107i | \(0.0569972\pi\) | |||||||
\(420\) | −28.7610 | + | 7.82708i | −0.0684786 | + | 0.0186359i | ||||
\(421\) | 18.5532 | − | 105.220i | 0.0440694 | − | 0.249930i | −0.954812 | − | 0.297209i | \(-0.903944\pi\) |
0.998882 | + | 0.0472796i | \(0.0150552\pi\) | |||||||
\(422\) | −25.1354 | + | 48.6563i | −0.0595625 | + | 0.115299i | ||||
\(423\) | −112.990 | − | 315.058i | −0.267117 | − | 0.744818i | ||||
\(424\) | 730.678 | + | 294.639i | 1.72330 | + | 0.694904i | ||||
\(425\) | −32.7443 | − | 27.4757i | −0.0770454 | − | 0.0646488i | ||||
\(426\) | 419.478 | − | 174.134i | 0.984691 | − | 0.408765i | ||||
\(427\) | 934.714 | − | 164.815i | 2.18903 | − | 0.385984i | ||||
\(428\) | 120.248 | − | 33.0296i | 0.280953 | − | 0.0771719i | ||||
\(429\) | 1.36091 | − | 576.598i | 0.00317229 | − | 1.34405i | ||||
\(430\) | −15.6271 | − | 11.9135i | −0.0363422 | − | 0.0277058i | ||||
\(431\) | 560.222i | 1.29982i | 0.760012 | + | 0.649910i | \(0.225193\pi\) | ||||
−0.760012 | + | 0.649910i | \(0.774807\pi\) | |||||||
\(432\) | 372.939 | − | 218.038i | 0.863285 | − | 0.504717i | ||||
\(433\) | 381.789 | 0.881731 | 0.440865 | − | 0.897573i | \(-0.354672\pi\) | ||||
0.440865 | + | 0.897573i | \(0.354672\pi\) | |||||||
\(434\) | 2.21211 | − | 2.90167i | 0.00509704 | − | 0.00668587i | ||||
\(435\) | −2.79957 | + | 4.82268i | −0.00643580 | + | 0.0110866i | ||||
\(436\) | −66.3104 | − | 241.411i | −0.152088 | − | 0.553695i | ||||
\(437\) | 33.3589 | + | 189.188i | 0.0763362 | + | 0.432924i | ||||
\(438\) | −97.7183 | + | 127.553i | −0.223101 | + | 0.291217i | ||||
\(439\) | −310.625 | + | 370.189i | −0.707575 | + | 0.843255i | −0.993361 | − | 0.115038i | \(-0.963301\pi\) |
0.285786 | + | 0.958293i | \(0.407745\pi\) | |||||||
\(440\) | −6.19689 | + | 15.3677i | −0.0140838 | + | 0.0349266i | ||||
\(441\) | 717.165 | + | 264.867i | 1.62622 | + | 0.600606i | ||||
\(442\) | −60.6176 | − | 31.3145i | −0.137144 | − | 0.0708472i | ||||
\(443\) | 310.302 | + | 54.7146i | 0.700456 | + | 0.123509i | 0.512524 | − | 0.858673i | \(-0.328711\pi\) |
0.187932 | + | 0.982182i | \(0.439822\pi\) | |||||||
\(444\) | 559.287 | + | 147.521i | 1.25966 | + | 0.332254i | ||||
\(445\) | 23.9825 | + | 8.72893i | 0.0538933 | + | 0.0196156i | ||||
\(446\) | 17.3830 | + | 77.2630i | 0.0389754 | + | 0.173235i | ||||
\(447\) | −4.98895 | − | 28.6896i | −0.0111610 | − | 0.0641825i | ||||
\(448\) | −736.541 | + | 78.4196i | −1.64406 | + | 0.175044i | ||||
\(449\) | 408.322 | + | 707.234i | 0.909402 | + | 1.57513i | 0.814897 | + | 0.579606i | \(0.196794\pi\) |
0.0945056 | + | 0.995524i | \(0.469873\pi\) | |||||||
\(450\) | −302.930 | − | 331.645i | −0.673177 | − | 0.736988i | ||||
\(451\) | 171.592 | + | 99.0687i | 0.380470 | + | 0.219665i | ||||
\(452\) | 471.814 | − | 223.622i | 1.04384 | − | 0.494738i | ||||
\(453\) | −95.7595 | − | 265.042i | −0.211390 | − | 0.585081i | ||||
\(454\) | −548.110 | + | 505.420i | −1.20729 | + | 1.11326i | ||||
\(455\) | 31.7978 | + | 37.8951i | 0.0698852 | + | 0.0832859i | ||||
\(456\) | −55.1357 | + | 135.806i | −0.120912 | + | 0.297821i | ||||
\(457\) | 48.2527 | − | 17.5625i | 0.105586 | − | 0.0384301i | −0.288687 | − | 0.957424i | \(-0.593219\pi\) |
0.394273 | + | 0.918993i | \(0.370996\pi\) | |||||||
\(458\) | −483.923 | + | 310.429i | −1.05660 | + | 0.677793i | ||||
\(459\) | 22.8405 | + | 40.2159i | 0.0497615 | + | 0.0876164i | ||||
\(460\) | 24.5454 | + | 11.2590i | 0.0533596 | + | 0.0244760i | ||||
\(461\) | 559.359 | − | 203.590i | 1.21336 | − | 0.441627i | 0.345492 | − | 0.938422i | \(-0.387712\pi\) |
0.867868 | + | 0.496795i | \(0.165490\pi\) | |||||||
\(462\) | 564.928 | − | 360.513i | 1.22279 | − | 0.780332i | ||||
\(463\) | −277.457 | − | 330.660i | −0.599259 | − | 0.714169i | 0.378098 | − | 0.925766i | \(-0.376578\pi\) |
−0.977357 | + | 0.211597i | \(0.932134\pi\) | |||||||
\(464\) | −87.7350 | + | 107.261i | −0.189084 | + | 0.231166i | ||||
\(465\) | −0.0999100 | − | 0.0178601i | −0.000214860 | − | 3.84088e-5i | ||||
\(466\) | 729.508 | + | 93.7165i | 1.56547 | + | 0.201108i | ||||
\(467\) | −654.186 | − | 377.694i | −1.40083 | − | 0.808767i | −0.406349 | − | 0.913718i | \(-0.633198\pi\) |
−0.994477 | + | 0.104951i | \(0.966532\pi\) | |||||||
\(468\) | −587.934 | − | 410.321i | −1.25627 | − | 0.876754i | ||||
\(469\) | −307.848 | − | 533.208i | −0.656392 | − | 1.13690i | ||||
\(470\) | 14.7290 | − | 6.15511i | 0.0313383 | − | 0.0130960i | ||||
\(471\) | 310.432 | − | 259.237i | 0.659091 | − | 0.550398i | ||||
\(472\) | 98.6190 | + | 20.8925i | 0.208939 | + | 0.0442638i | ||||
\(473\) | 415.161 | + | 151.106i | 0.877719 | + | 0.319464i | ||||
\(474\) | 152.030 | + | 683.261i | 0.320738 | + | 1.44148i | ||||
\(475\) | 150.082 | + | 26.4636i | 0.315963 | + | 0.0557128i | ||||
\(476\) | −7.40637 | − | 78.9523i | −0.0155596 | − | 0.165866i | ||||
\(477\) | −446.782 | + | 765.482i | −0.936651 | + | 1.60478i | ||||
\(478\) | 355.501 | − | 16.6379i | 0.743726 | − | 0.0348074i | ||||
\(479\) | 379.355 | − | 452.098i | 0.791974 | − | 0.943837i | −0.207434 | − | 0.978249i | \(-0.566511\pi\) |
0.999408 | + | 0.0344117i | \(0.0109557\pi\) | |||||||
\(480\) | 11.3006 | + | 17.2281i | 0.0235430 | + | 0.0358918i | ||||
\(481\) | −166.694 | − | 945.370i | −0.346558 | − | 1.96543i | ||||
\(482\) | −207.585 | + | 665.644i | −0.430675 | + | 1.38100i | ||||
\(483\) | −543.849 | − | 947.130i | −1.12598 | − | 1.96093i | ||||
\(484\) | −9.01745 | + | 111.085i | −0.0186311 | + | 0.229515i | ||||
\(485\) | −5.27924 | −0.0108850 | ||||||||
\(486\) | 182.086 | + | 450.601i | 0.374662 | + | 0.927162i | ||||
\(487\) | − | 474.186i | − | 0.973688i | −0.873489 | − | 0.486844i | \(-0.838148\pi\) | ||
0.873489 | − | 0.486844i | \(-0.161852\pi\) | |||||||
\(488\) | −308.399 | − | 579.070i | −0.631965 | − | 1.18662i | ||||
\(489\) | −526.938 | + | 302.572i | −1.07758 | + | 0.618756i | ||||
\(490\) | −10.8554 | + | 34.8090i | −0.0221539 | + | 0.0710388i | ||||
\(491\) | −280.087 | + | 49.3868i | −0.570441 | + | 0.100584i | −0.451427 | − | 0.892308i | \(-0.649085\pi\) |
−0.119015 | + | 0.992892i | \(0.537974\pi\) | |||||||
\(492\) | 222.877 | − | 104.992i | 0.453003 | − | 0.213398i | ||||
\(493\) | −11.3646 | − | 9.53602i | −0.0230519 | − | 0.0193428i | ||||
\(494\) | 242.988 | − | 11.3722i | 0.491879 | − | 0.0230206i | ||||
\(495\) | −16.0997 | − | 9.39678i | −0.0325247 | − | 0.0189834i | ||||
\(496\) | −2.38064 | − | 0.832837i | −0.00479968 | − | 0.00167911i | ||||
\(497\) | 152.131 | − | 862.777i | 0.306098 | − | 1.73597i | ||||
\(498\) | 146.708 | + | 659.340i | 0.294593 | + | 1.32398i | ||||
\(499\) | 128.475 | − | 352.983i | 0.257465 | − | 0.707380i | −0.741857 | − | 0.670559i | \(-0.766054\pi\) |
0.999322 | − | 0.0368216i | \(-0.0117233\pi\) | |||||||
\(500\) | 30.1334 | − | 30.5136i | 0.0602668 | − | 0.0610271i | ||||
\(501\) | 287.097 | + | 343.794i | 0.573048 | + | 0.686215i | ||||
\(502\) | −236.295 | + | 98.7453i | −0.470707 | + | 0.196704i | ||||
\(503\) | 461.157 | − | 266.249i | 0.916814 | − | 0.529323i | 0.0341967 | − | 0.999415i | \(-0.489113\pi\) |
0.882617 | + | 0.470092i | \(0.155779\pi\) | |||||||
\(504\) | 32.4499 | − | 832.660i | 0.0643847 | − | 1.65210i | ||||
\(505\) | −5.07411 | + | 8.78861i | −0.0100477 | + | 0.0174032i | ||||
\(506\) | −602.199 | − | 77.3618i | −1.19012 | − | 0.152889i | ||||
\(507\) | −120.168 | + | 672.226i | −0.237018 | + | 1.32589i | ||||
\(508\) | −30.6333 | + | 117.260i | −0.0603018 | + | 0.230827i | ||||
\(509\) | 142.299 | − | 119.403i | 0.279565 | − | 0.234583i | −0.492213 | − | 0.870475i | \(-0.663812\pi\) |
0.771778 | + | 0.635892i | \(0.219367\pi\) | |||||||
\(510\) | −1.85944 | + | 1.18662i | −0.00364596 | + | 0.00232670i | ||||
\(511\) | 106.006 | + | 291.250i | 0.207449 | + | 0.569962i | ||||
\(512\) | 209.196 | + | 467.312i | 0.408587 | + | 0.912719i | ||||
\(513\) | −142.214 | − | 83.4557i | −0.277221 | − | 0.162682i | ||||
\(514\) | 450.606 | − | 289.057i | 0.876666 | − | 0.562368i | ||||
\(515\) | −3.90154 | − | 10.7194i | −0.00757581 | − | 0.0208144i | ||||
\(516\) | 448.767 | − | 316.851i | 0.869704 | − | 0.614052i | ||||
\(517\) | −274.940 | + | 230.702i | −0.531799 | + | 0.446232i | ||||
\(518\) | 820.225 | − | 756.341i | 1.58345 | − | 1.46012i | ||||
\(519\) | 882.111 | − | 318.706i | 1.69964 | − | 0.614078i | ||||
\(520\) | 18.1007 | − | 29.0107i | 0.0348089 | − | 0.0557898i | ||||
\(521\) | 87.3646 | − | 151.320i | 0.167686 | − | 0.290441i | −0.769920 | − | 0.638141i | \(-0.779704\pi\) |
0.937606 | + | 0.347700i | \(0.113037\pi\) | |||||||
\(522\) | −105.138 | − | 115.104i | −0.201414 | − | 0.220506i | ||||
\(523\) | −721.777 | + | 416.718i | −1.38007 | + | 0.796784i | −0.992167 | − | 0.124916i | \(-0.960134\pi\) |
−0.387903 | + | 0.921700i | \(0.626800\pi\) | |||||||
\(524\) | 419.039 | − | 606.506i | 0.799693 | − | 1.15745i | ||||
\(525\) | −853.603 | + | 148.437i | −1.62591 | + | 0.282737i | ||||
\(526\) | 114.611 | + | 509.415i | 0.217891 | + | 0.968470i | ||||
\(527\) | 0.0923506 | − | 0.253731i | 0.000175238 | − | 0.000481463i | ||||
\(528\) | −357.872 | − | 294.137i | −0.677787 | − | 0.557077i | ||||
\(529\) | −79.9609 | + | 453.481i | −0.151155 | + | 0.857242i | ||||
\(530\) | −37.5569 | − | 19.4015i | −0.0708620 | − | 0.0366066i | ||||
\(531\) | −39.2907 | + | 106.385i | −0.0739938 | + | 0.200349i | ||||
\(532\) | 163.613 | + | 230.574i | 0.307543 | + | 0.433409i | ||||
\(533\) | −313.220 | − | 262.823i | −0.587656 | − | 0.493102i | ||||
\(534\) | −433.907 | + | 566.385i | −0.812559 | + | 1.06065i | ||||
\(535\) | −6.58927 | + | 1.16187i | −0.0123164 | + | 0.00217171i | ||||
\(536\) | −284.562 | + | 316.467i | −0.530898 | + | 0.590424i | ||||
\(537\) | −69.6711 | − | 40.4442i | −0.129741 | − | 0.0753150i | ||||
\(538\) | −384.175 | + | 503.929i | −0.714080 | + | 0.936670i | ||||
\(539\) | − | 819.793i | − | 1.52095i | ||||||
\(540\) | −21.0154 | + | 9.77884i | −0.0389173 | + | 0.0181090i | ||||
\(541\) | 313.109 | 0.578760 | 0.289380 | − | 0.957214i | \(-0.406551\pi\) | ||||
0.289380 | + | 0.957214i | \(0.406551\pi\) | |||||||
\(542\) | 279.769 | + | 213.285i | 0.516179 | + | 0.393514i | ||||
\(543\) | −864.262 | − | 2.03987i | −1.59164 | − | 0.00375666i | ||||
\(544\) | −50.3068 | + | 21.7674i | −0.0924757 | + | 0.0400136i | ||||
\(545\) | 2.33257 | + | 13.2287i | 0.00427995 | + | 0.0242728i | ||||
\(546\) | −1277.27 | + | 530.222i | −2.33933 | + | 0.971102i | ||||
\(547\) | −372.771 | + | 444.251i | −0.681482 | + | 0.812158i | −0.990297 | − | 0.138964i | \(-0.955623\pi\) |
0.308816 | + | 0.951122i | \(0.400067\pi\) | |||||||
\(548\) | 58.1471 | + | 81.9447i | 0.106108 | + | 0.149534i | ||||
\(549\) | 694.755 | − | 249.162i | 1.26549 | − | 0.453848i | ||||
\(550\) | −221.061 | + | 427.923i | −0.401929 | + | 0.778042i | ||||
\(551\) | 52.0892 | + | 9.18473i | 0.0945358 | + | 0.0166692i | ||||
\(552\) | −506.100 | + | 560.180i | −0.916847 | + | 1.01482i | ||||
\(553\) | 1268.76 | + | 461.790i | 2.29432 | + | 0.835063i | ||||
\(554\) | −31.2078 | + | 7.02128i | −0.0563317 | + | 0.0126738i | ||||
\(555\) | −29.1383 | − | 10.6834i | −0.0525015 | − | 0.0192494i | ||||
\(556\) | −19.8477 | + | 28.7270i | −0.0356973 | + | 0.0516673i | ||||
\(557\) | −39.2530 | − | 67.9882i | −0.0704722 | − | 0.122061i | 0.828636 | − | 0.559788i | \(-0.189117\pi\) |
−0.899108 | + | 0.437726i | \(0.855784\pi\) | |||||||
\(558\) | 1.31415 | − | 2.51471i | 0.00235511 | − | 0.00450664i | ||||
\(559\) | −789.570 | − | 455.859i | −1.41247 | − | 0.815489i | ||||
\(560\) | 39.7396 | − | 0.498204i | 0.0709636 | − | 0.000889650i | ||||
\(561\) | 31.9678 | − | 37.9156i | 0.0569835 | − | 0.0675857i | ||||
\(562\) | −431.629 | − | 468.086i | −0.768023 | − | 0.832894i | ||||
\(563\) | −28.0423 | − | 33.4195i | −0.0498087 | − | 0.0593597i | 0.740565 | − | 0.671985i | \(-0.234558\pi\) |
−0.790374 | + | 0.612625i | \(0.790114\pi\) | |||||||
\(564\) | 40.6325 | + | 444.422i | 0.0720434 | + | 0.787982i | ||||
\(565\) | −26.3253 | + | 9.58163i | −0.0465935 | + | 0.0169586i | ||||
\(566\) | −222.425 | − | 346.735i | −0.392977 | − | 0.612606i | ||||
\(567\) | 921.633 | + | 171.496i | 1.62546 | + | 0.302462i | ||||
\(568\) | −599.631 | + | 84.6856i | −1.05569 | + | 0.149094i | ||||
\(569\) | −623.877 | + | 227.073i | −1.09645 | + | 0.399074i | −0.826005 | − | 0.563663i | \(-0.809392\pi\) |
−0.270441 | + | 0.962737i | \(0.587169\pi\) | |||||||
\(570\) | 3.62596 | − | 6.97858i | 0.00636133 | − | 0.0122431i | ||||
\(571\) | −316.761 | − | 377.501i | −0.554747 | − | 0.661122i | 0.413679 | − | 0.910423i | \(-0.364244\pi\) |
−0.968426 | + | 0.249301i | \(0.919799\pi\) | |||||||
\(572\) | −194.322 | + | 743.836i | −0.339723 | + | 1.30041i | ||||
\(573\) | 435.994 | − | 517.113i | 0.760896 | − | 0.902467i | ||||
\(574\) | 60.5524 | − | 471.352i | 0.105492 | − | 0.821170i | ||||
\(575\) | 679.786 | + | 392.475i | 1.18224 | + | 0.682565i | ||||
\(576\) | −554.219 | + | 156.900i | −0.962185 | + | 0.272397i | ||||
\(577\) | −4.25933 | − | 7.37738i | −0.00738186 | − | 0.0127858i | 0.862311 | − | 0.506379i | \(-0.169016\pi\) |
−0.869693 | + | 0.493594i | \(0.835683\pi\) | |||||||
\(578\) | 220.601 | + | 527.892i | 0.381662 | + | 0.913308i | ||||
\(579\) | −580.550 | − | 212.856i | −1.00268 | − | 0.367627i | ||||
\(580\) | 5.22439 | − | 5.29030i | 0.00900757 | − | 0.00912120i | ||||
\(581\) | 1224.34 | + | 445.623i | 2.10730 | + | 0.766993i | ||||
\(582\) | 44.2715 | − | 140.791i | 0.0760678 | − | 0.241909i | ||||
\(583\) | 935.977 | + | 165.038i | 1.60545 | + | 0.283084i | ||||
\(584\) | 168.736 | − | 132.015i | 0.288932 | − | 0.226053i | ||||
\(585\) | 29.3516 | + | 24.8660i | 0.0501737 | + | 0.0425060i | ||||
\(586\) | 9.04722 | + | 193.311i | 0.0154389 | + | 0.329882i | ||||
\(587\) | −265.990 | + | 316.994i | −0.453134 | + | 0.540024i | −0.943447 | − | 0.331522i | \(-0.892438\pi\) |
0.490313 | + | 0.871546i | \(0.336882\pi\) | |||||||
\(588\) | −837.281 | − | 581.408i | −1.42395 | − | 0.988789i | ||||
\(589\) | 0.167169 | + | 0.948061i | 0.000283818 | + | 0.00160961i | ||||
\(590\) | −5.16361 | − | 1.61031i | −0.00875188 | − | 0.00272933i | ||||
\(591\) | −378.238 | − | 0.892733i | −0.639997 | − | 0.00151055i | ||||
\(592\) | −672.678 | − | 377.208i | −1.13628 | − | 0.637175i | ||||
\(593\) | −105.821 | −0.178450 | −0.0892252 | − | 0.996011i | \(-0.528439\pi\) | ||||
−0.0892252 | + | 0.996011i | \(0.528439\pi\) | |||||||
\(594\) | 385.612 | − | 350.559i | 0.649179 | − | 0.590167i | ||||
\(595\) | 4.25481i | 0.00715094i | ||||||||
\(596\) | −3.14147 | + | 38.6995i | −0.00527093 | + | 0.0649321i | ||||
\(597\) | 193.372 | + | 112.253i | 0.323906 | + | 0.188028i | ||||
\(598\) | 1196.11 | + | 373.014i | 2.00018 | + | 0.623770i | ||||
\(599\) | 430.103 | − | 75.8387i | 0.718035 | − | 0.126609i | 0.197319 | − | 0.980339i | \(-0.436776\pi\) |
0.520715 | + | 0.853730i | \(0.325665\pi\) | |||||||
\(600\) | 280.273 | + | 529.265i | 0.467121 | + | 0.882109i | ||||
\(601\) | −756.042 | − | 634.394i | −1.25797 | − | 1.05556i | −0.995895 | − | 0.0905178i | \(-0.971148\pi\) |
−0.262078 | − | 0.965047i | \(-0.584408\pi\) | |||||||
\(602\) | −49.5390 | − | 1058.49i | −0.0822906 | − | 1.75830i | ||||
\(603\) | −306.025 | − | 368.222i | −0.507504 | − | 0.610650i | ||||
\(604\) | 35.0941 | + | 374.104i | 0.0581028 | + | 0.619378i | ||||
\(605\) | 1.03840 | − | 5.88907i | 0.00171637 | − | 0.00973400i | ||||
\(606\) | −191.830 | − | 209.021i | −0.316552 | − | 0.344920i | ||||
\(607\) | −258.006 | + | 708.866i | −0.425051 | + | 1.16782i | 0.523730 | + | 0.851884i | \(0.324540\pi\) |
−0.948781 | + | 0.315934i | \(0.897682\pi\) | |||||||
\(608\) | 116.526 | − | 156.889i | 0.191654 | − | 0.258042i | ||||
\(609\) | −296.261 | + | 51.5181i | −0.486471 | + | 0.0845945i | ||||
\(610\) | 13.5730 | + | 32.4799i | 0.0222509 | + | 0.0532457i | ||||
\(611\) | 641.422 | − | 370.325i | 1.04979 | − | 0.606097i | ||||
\(612\) | −16.0525 | − | 59.5399i | −0.0262295 | − | 0.0972875i | ||||
\(613\) | 88.3953 | − | 153.105i | 0.144201 | − | 0.249764i | −0.784874 | − | 0.619656i | \(-0.787272\pi\) |
0.929075 | + | 0.369892i | \(0.120605\pi\) | |||||||
\(614\) | 68.9137 | − | 536.438i | 0.112237 | − | 0.873677i | ||||
\(615\) | −12.4324 | + | 4.49184i | −0.0202154 | + | 0.00730380i | ||||
\(616\) | −849.625 | + | 276.695i | −1.37926 | + | 0.449180i | ||||
\(617\) | −385.320 | + | 323.322i | −0.624506 | + | 0.524023i | −0.899216 | − | 0.437504i | \(-0.855862\pi\) |
0.274710 | + | 0.961527i | \(0.411418\pi\) | |||||||
\(618\) | 318.592 | − | 14.1570i | 0.515521 | − | 0.0229078i | ||||
\(619\) | −82.2498 | − | 225.980i | −0.132875 | − | 0.365072i | 0.855356 | − | 0.518041i | \(-0.173339\pi\) |
−0.988231 | + | 0.152969i | \(0.951116\pi\) | |||||||
\(620\) | 0.123002 | + | 0.0564210i | 0.000198391 | + | 9.10016e-5i | ||||
\(621\) | −541.306 | − | 654.459i | −0.871668 | − | 1.05388i | ||||
\(622\) | −20.8350 | − | 32.4794i | −0.0334968 | − | 0.0522177i | ||||
\(623\) | 470.709 | + | 1293.26i | 0.755552 | + | 2.07586i | ||||
\(624\) | 621.889 | + | 726.005i | 0.996617 | + | 1.16347i | ||||
\(625\) | 476.133 | − | 399.523i | 0.761813 | − | 0.639237i | ||||
\(626\) | 658.208 | + | 713.804i | 1.05145 | + | 1.14026i | ||||
\(627\) | −31.1147 | + | 174.057i | −0.0496248 | + | 0.277603i | ||||
\(628\) | −487.292 | + | 230.957i | −0.775943 | + | 0.367767i | ||||
\(629\) | 41.2830 | − | 71.5043i | 0.0656328 | − | 0.113679i | ||||
\(630\) | −5.90622 | + | 44.3187i | −0.00937495 | + | 0.0703472i | ||||
\(631\) | 72.3715 | − | 41.7837i | 0.114693 | − | 0.0662182i | −0.441556 | − | 0.897234i | \(-0.645573\pi\) |
0.556249 | + | 0.831016i | \(0.312240\pi\) | |||||||
\(632\) | 31.9415 | − | 932.747i | 0.0505403 | − | 1.47586i | ||||
\(633\) | 52.6549 | + | 63.0533i | 0.0831830 | + | 0.0996102i | ||||
\(634\) | −1069.87 | + | 240.706i | −1.68750 | + | 0.379662i | ||||
\(635\) | 2.22408 | − | 6.11062i | 0.00350249 | − | 0.00962302i | ||||
\(636\) | 832.366 | − | 838.897i | 1.30875 | − | 1.31902i | ||||
\(637\) | −293.768 | + | 1666.04i | −0.461174 | + | 2.61545i | ||||
\(638\) | −76.7238 | + | 148.520i | −0.120257 | + | 0.232789i | ||||
\(639\) | 3.21595 | − | 681.271i | 0.00503278 | − | 1.06615i | ||||
\(640\) | −8.83360 | − | 26.0125i | −0.0138025 | − | 0.0406446i | ||||
\(641\) | −709.440 | − | 595.291i | −1.10677 | − | 0.928691i | −0.108909 | − | 0.994052i | \(-0.534736\pi\) |
−0.997862 | + | 0.0653607i | \(0.979180\pi\) | |||||||
\(642\) | 24.2718 | − | 185.471i | 0.0378065 | − | 0.288896i | ||||
\(643\) | 0.379828 | − | 0.0669739i | 0.000590712 | − | 0.000104159i | −0.173353 | − | 0.984860i | \(-0.555460\pi\) |
0.173944 | + | 0.984756i | \(0.444349\pi\) | |||||||
\(644\) | 385.707 | + | 1404.21i | 0.598924 | + | 2.18045i | ||||
\(645\) | −25.5613 | + | 14.6775i | −0.0396300 | + | 0.0227558i | ||||
\(646\) | 16.6387 | + | 12.6847i | 0.0257565 | + | 0.0196357i | ||||
\(647\) | − | 295.175i | − | 0.456222i | −0.973635 | − | 0.228111i | \(-0.926745\pi\) | ||
0.973635 | − | 0.228111i | \(-0.0732549\pi\) | |||||||
\(648\) | −84.5560 | − | 642.460i | −0.130488 | − | 0.991450i | ||||
\(649\) | 121.609 | 0.187379 | ||||||||
\(650\) | 602.598 | − | 790.439i | 0.927075 | − | 1.21606i | ||||
\(651\) | −2.72534 | − | 4.74627i | −0.00418639 | − | 0.00729073i | ||||
\(652\) | 781.236 | − | 214.589i | 1.19822 | − | 0.329124i | ||||
\(653\) | −19.2754 | − | 109.316i | −0.0295182 | − | 0.167406i | 0.966485 | − | 0.256723i | \(-0.0826428\pi\) |
−0.996003 | + | 0.0893167i | \(0.971532\pi\) | |||||||
\(654\) | −372.354 | − | 48.7282i | −0.569348 | − | 0.0745080i | ||||
\(655\) | −25.4248 | + | 30.3001i | −0.0388165 | + | 0.0462597i | ||||
\(656\) | −322.761 | + | 61.0929i | −0.492014 | + | 0.0931294i | ||||
\(657\) | 119.525 | + | 209.299i | 0.181925 | + | 0.318567i | ||||
\(658\) | 764.806 | + | 395.091i | 1.16232 | + | 0.600443i | ||||
\(659\) | −1084.88 | − | 191.294i | −1.64626 | − | 0.290280i | −0.727797 | − | 0.685792i | \(-0.759456\pi\) |
−0.918461 | + | 0.395512i | \(0.870567\pi\) | |||||||
\(660\) | 17.6438 | + | 17.5064i | 0.0267330 | + | 0.0265249i | ||||
\(661\) | 471.148 | + | 171.484i | 0.712781 | + | 0.259431i | 0.672858 | − | 0.739772i | \(-0.265067\pi\) |
0.0399230 | + | 0.999203i | \(0.487289\pi\) | |||||||
\(662\) | 238.461 | + | 1059.90i | 0.360213 | + | 1.60105i | ||||
\(663\) | −78.5538 | + | 65.5992i | −0.118482 | + | 0.0989429i | ||||
\(664\) | 30.8233 | − | 900.092i | 0.0464206 | − | 1.35556i | ||||
\(665\) | −7.58485 | − | 13.1373i | −0.0114058 | − | 0.0197554i | ||||
\(666\) | 529.267 | − | 687.493i | 0.794695 | − | 1.03227i | ||||
\(667\) | 235.934 | + | 136.217i | 0.353724 | + | 0.204223i | ||||
\(668\) | −255.778 | − | 539.661i | −0.382901 | − | 0.807875i | ||||
\(669\) | 116.938 | + | 20.9040i | 0.174795 | + | 0.0312466i | ||||
\(670\) | 16.7874 | − | 15.4799i | 0.0250559 | − | 0.0231043i | ||||
\(671\) | −508.735 | − | 606.287i | −0.758175 | − | 0.903558i | ||||
\(672\) | −319.968 | + | 1063.99i | −0.476143 | + | 1.58331i | ||||
\(673\) | −745.558 | + | 271.361i | −1.10781 | + | 0.403211i | −0.830190 | − | 0.557480i | \(-0.811768\pi\) |
−0.277622 | + | 0.960690i | \(0.589546\pi\) | |||||||
\(674\) | −335.795 | + | 215.408i | −0.498213 | + | 0.319596i | ||||
\(675\) | −634.740 | + | 225.950i | −0.940355 | + | 0.334740i | ||||
\(676\) | 379.618 | − | 827.598i | 0.561565 | − | 1.22426i | ||||
\(677\) | −524.604 | + | 190.940i | −0.774896 | + | 0.282039i | −0.699043 | − | 0.715080i | \(-0.746390\pi\) |
−0.0758531 | + | 0.997119i | \(0.524168\pi\) | |||||||
\(678\) | −34.7676 | − | 782.416i | −0.0512797 | − | 1.15401i | ||||
\(679\) | −182.991 | − | 218.080i | −0.269501 | − | 0.321179i | ||||
\(680\) | 2.79651 | − | 0.910730i | 0.00411252 | − | 0.00133931i | ||||
\(681\) | 380.018 | + | 1051.81i | 0.558030 | + | 1.54451i | ||||
\(682\) | −3.01775 | − | 0.387676i | −0.00442485 | − | 0.000568440i | ||||
\(683\) | 921.593 | + | 532.082i | 1.34933 | + | 0.779037i | 0.988155 | − | 0.153461i | \(-0.0490419\pi\) |
0.361176 | + | 0.932498i | \(0.382375\pi\) | |||||||
\(684\) | 155.703 | + | 155.222i | 0.227636 | + | 0.226933i | ||||
\(685\) | −2.69562 | − | 4.66894i | −0.00393520 | − | 0.00681597i | ||||
\(686\) | −767.702 | + | 320.815i | −1.11910 | + | 0.467660i | ||||
\(687\) | 147.749 | + | 849.648i | 0.215064 | + | 1.23675i | ||||
\(688\) | −685.100 | + | 259.127i | −0.995785 | + | 0.376639i | ||||
\(689\) | −1843.02 | − | 670.803i | −2.67491 | − | 0.973589i | ||||
\(690\) | 29.8435 | − | 27.3890i | 0.0432514 | − | 0.0396943i | ||||
\(691\) | 135.724 | + | 23.9318i | 0.196417 | + | 0.0346336i | 0.270991 | − | 0.962582i | \(-0.412649\pi\) |
−0.0745742 | + | 0.997215i | \(0.523760\pi\) | |||||||
\(692\) | −1245.09 | + | 116.800i | −1.79927 | + | 0.168786i | ||||
\(693\) | −169.883 | − | 990.780i | −0.245141 | − | 1.42970i | ||||
\(694\) | −62.1435 | + | 2.90840i | −0.0895440 | + | 0.00419078i | ||||
\(695\) | 1.20424 | − | 1.43516i | 0.00173272 | − | 0.00206497i | ||||
\(696\) | 97.2744 | + | 183.693i | 0.139762 | + | 0.263926i | ||||
\(697\) | −6.10685 | − | 34.6337i | −0.00876163 | − | 0.0496897i | ||||
\(698\) | 115.147 | − | 369.231i | 0.164967 | − | 0.528984i | ||||
\(699\) | 553.881 | − | 954.141i | 0.792390 | − | 1.36501i | ||||
\(700\) | 1151.43 | + | 93.4685i | 1.64490 | + | 0.133526i | ||||
\(701\) | 1148.72 | 1.63869 | 0.819347 | − | 0.573298i | \(-0.194336\pi\) | ||||
0.819347 | + | 0.573298i | \(0.194336\pi\) | |||||||
\(702\) | −909.288 | + | 574.248i | −1.29528 | + | 0.818017i | ||||
\(703\) | 294.373i | 0.418738i | ||||||||
\(704\) | 363.720 | + | 499.198i | 0.516647 | + | 0.709088i | ||||
\(705\) | 0.0565160 | − | 23.9450i | 8.01645e−5 | − | 0.0339645i | ||||
\(706\) | 157.006 | − | 503.454i | 0.222387 | − | 0.713108i | ||||
\(707\) | −538.930 | + | 95.0280i | −0.762278 | + | 0.134410i | ||||
\(708\) | 86.2468 | − | 124.203i | 0.121817 | − | 0.175428i | ||||
\(709\) | 166.685 | + | 139.866i | 0.235099 | + | 0.197272i | 0.752724 | − | 0.658336i | \(-0.228739\pi\) |
−0.517625 | + | 0.855608i | \(0.673184\pi\) | |||||||
\(710\) | 32.4571 | − | 1.51904i | 0.0457143 | − | 0.00213949i | ||||
\(711\) | 1033.13 | + | 187.202i | 1.45307 | + | 0.263294i | ||||
\(712\) | 749.254 | − | 586.197i | 1.05232 | − | 0.823310i | ||||
\(713\) | −0.861030 | + | 4.88315i | −0.00120762 | + | 0.00684873i | ||||
\(714\) | −113.471 | − | 35.6807i | −0.158923 | − | 0.0499729i | ||||
\(715\) | 14.1084 | − | 38.7625i | 0.0197320 | − | 0.0542133i | ||||
\(716\) | 76.4265 | + | 75.4744i | 0.106741 | + | 0.105411i | ||||
\(717\) | 183.766 | − | 501.208i | 0.256298 | − | 0.699035i | ||||
\(718\) | −533.248 | + | 222.839i | −0.742685 | + | 0.310361i | ||||
\(719\) | −532.823 | + | 307.625i | −0.741061 | + | 0.427852i | −0.822455 | − | 0.568830i | \(-0.807396\pi\) |
0.0813939 | + | 0.996682i | \(0.474063\pi\) | |||||||
\(720\) | 30.3931 | − | 5.60439i | 0.0422126 | − | 0.00778387i | ||||
\(721\) | 307.572 | − | 532.730i | 0.426591 | − | 0.738877i | ||||
\(722\) | 642.128 | + | 82.4913i | 0.889374 | + | 0.114254i | ||||
\(723\) | 799.611 | + | 674.175i | 1.10596 | + | 0.932469i | ||||
\(724\) | 1114.93 | + | 291.268i | 1.53996 | + | 0.402304i | ||||
\(725\) | 165.558 | − | 138.920i | 0.228356 | − | 0.191613i | ||||
\(726\) | 148.346 | + | 77.0784i | 0.204334 | + | 0.106169i | ||||
\(727\) | 263.701 | + | 724.511i | 0.362724 | + | 0.996577i | 0.978062 | + | 0.208313i | \(0.0667974\pi\) |
−0.615338 | + | 0.788264i | \(0.710980\pi\) | |||||||
\(728\) | 1825.82 | − | 257.860i | 2.50799 | − | 0.354203i | ||||
\(729\) | 728.927 | + | 10.3233i | 0.999900 | + | 0.0141609i | ||||
\(730\) | −9.67560 | + | 6.20675i | −0.0132542 | + | 0.00850240i | ||||
\(731\) | −26.8203 | − | 73.6881i | −0.0366898 | − | 0.100804i | ||||
\(732\) | −980.023 | + | 89.6013i | −1.33883 | + | 0.122406i | ||||
\(733\) | −542.102 | + | 454.878i | −0.739566 | + | 0.620570i | −0.932721 | − | 0.360598i | \(-0.882572\pi\) |
0.193155 | + | 0.981168i | \(0.438128\pi\) | |||||||
\(734\) | −661.426 | + | 609.910i | −0.901125 | + | 0.830940i | ||||
\(735\) | 41.8146 | + | 35.2552i | 0.0568906 | + | 0.0479662i | ||||
\(736\) | 840.371 | − | 554.077i | 1.14181 | − | 0.752822i | ||||
\(737\) | −256.704 | + | 444.625i | −0.348310 | + | 0.603291i | ||||
\(738\) | −15.5339 | − | 369.227i | −0.0210487 | − | 0.500307i | ||||
\(739\) | −328.811 | + | 189.839i | −0.444940 | + | 0.256887i | −0.705691 | − | 0.708520i | \(-0.749363\pi\) |
0.260751 | + | 0.965406i | \(0.416030\pi\) | |||||||
\(740\) | 34.0447 | + | 23.5217i | 0.0460064 | + | 0.0317861i | ||||
\(741\) | 125.606 | − | 342.581i | 0.169508 | − | 0.462323i | ||||
\(742\) | −500.354 | − | 2223.94i | −0.674332 | − | 2.99723i | ||||
\(743\) | 410.605 | − | 1128.13i | 0.552631 | − | 1.51834i | −0.277473 | − | 0.960733i | \(-0.589497\pi\) |
0.830104 | − | 0.557608i | \(-0.188281\pi\) | |||||||
\(744\) | −2.53617 | + | 2.80718i | −0.00340883 | + | 0.00377309i | ||||
\(745\) | 0.361755 | − | 2.05162i | 0.000485578 | − | 0.00275385i | ||||
\(746\) | 417.271 | + | 215.558i | 0.559345 | + | 0.288952i | ||||
\(747\) | 996.963 | + | 180.648i | 1.33462 | + | 0.241831i | ||||
\(748\) | −53.9275 | + | 38.2664i | −0.0720956 | + | 0.0511583i | ||||
\(749\) | −276.396 | − | 231.924i | −0.369020 | − | 0.309644i | ||||
\(750\) | −24.6629 | − | 59.4114i | −0.0328839 | − | 0.0792152i | ||||
\(751\) | 338.515 | − | 59.6894i | 0.450753 | − | 0.0794799i | 0.0563366 | − | 0.998412i | \(-0.482058\pi\) |
0.394416 | + | 0.918932i | \(0.370947\pi\) | |||||||
\(752\) | 95.9726 | − | 587.243i | 0.127623 | − | 0.780909i | ||||
\(753\) | −0.906675 | + | 384.145i | −0.00120408 | + | 0.510153i | ||||
\(754\) | 209.144 | − | 274.338i | 0.277380 | − | 0.363844i | ||||
\(755\) | − | 20.1608i | − | 0.0267031i | ||||||
\(756\) | −1132.40 | − | 529.167i | −1.49788 | − | 0.699956i | ||||
\(757\) | −185.105 | −0.244525 | −0.122262 | − | 0.992498i | \(-0.539015\pi\) | ||||
−0.122262 | + | 0.992498i | \(0.539015\pi\) | |||||||
\(758\) | 39.0635 | + | 29.7804i | 0.0515349 | + | 0.0392882i | ||||
\(759\) | −457.221 | + | 787.632i | −0.602400 | + | 1.03772i | ||||
\(760\) | −7.01111 | + | 7.79722i | −0.00922515 | + | 0.0102595i | ||||
\(761\) | 107.060 | + | 607.165i | 0.140683 | + | 0.797851i | 0.970733 | + | 0.240162i | \(0.0772006\pi\) |
−0.830050 | + | 0.557689i | \(0.811688\pi\) | |||||||
\(762\) | 144.312 | + | 110.557i | 0.189386 | + | 0.145088i | ||||
\(763\) | −465.612 | + | 554.894i | −0.610238 | + | 0.727253i | ||||
\(764\) | −735.493 | + | 521.898i | −0.962687 | + | 0.683113i | ||||
\(765\) | 0.559163 | + | 3.26111i | 0.000730932 | + | 0.00426290i | ||||
\(766\) | 546.308 | − | 1057.53i | 0.713196 | − | 1.38058i | ||||
\(767\) | −247.142 | − | 43.5778i | −0.322219 | − | 0.0568160i | ||||
\(768\) | 767.802 | − | 17.4412i | 0.999742 | − | 0.0227099i | ||||
\(769\) | 120.247 | + | 43.7664i | 0.156368 | + | 0.0569134i | 0.419018 | − | 0.907978i | \(-0.362374\pi\) |
−0.262650 | + | 0.964891i | \(0.584596\pi\) | |||||||
\(770\) | 46.7743 | − | 10.5235i | 0.0607458 | − | 0.0136669i | ||||
\(771\) | −137.577 | − | 791.153i | −0.178440 | − | 1.02614i | ||||
\(772\) | 678.305 | + | 468.646i | 0.878633 | + | 0.607054i | ||||
\(773\) | −156.807 | − | 271.599i | −0.202856 | − | 0.351356i | 0.746592 | − | 0.665283i | \(-0.231689\pi\) |
−0.949447 | + | 0.313926i | \(0.898356\pi\) | |||||||
\(774\) | −177.075 | − | 804.776i | −0.228780 | − | 1.03976i | ||||
\(775\) | 3.40655 | + | 1.96677i | 0.00439555 | + | 0.00253777i | ||||
\(776\) | −104.166 | + | 166.952i | −0.134235 | + | 0.215144i | ||||
\(777\) | −568.682 | − | 1573.99i | −0.731895 | − | 2.02573i | ||||
\(778\) | −449.929 | − | 487.932i | −0.578314 | − | 0.627162i | ||||
\(779\) | 80.5956 | + | 96.0501i | 0.103460 | + | 0.123299i | ||||
\(780\) | −29.5836 | − | 41.9003i | −0.0379277 | − | 0.0537183i | ||||
\(781\) | −686.484 | + | 249.860i | −0.878980 | + | 0.319923i | ||||
\(782\) | 58.1863 | + | 90.7057i | 0.0744071 | + | 0.115992i | ||||
\(783\) | −220.300 | + | 78.4205i | −0.281353 | + | 0.100154i | ||||
\(784\) | 886.617 | + | 1030.12i | 1.13089 | + | 1.31393i | ||||
\(785\) | 27.1889 | − | 9.89596i | 0.0346356 | − | 0.0126063i | ||||
\(786\) | −594.856 | − | 932.145i | −0.756815 | − | 1.18593i | ||||
\(787\) | −335.127 | − | 399.389i | −0.425828 | − | 0.507483i | 0.509886 | − | 0.860242i | \(-0.329688\pi\) |
−0.935714 | + | 0.352760i | \(0.885243\pi\) | |||||||
\(788\) | 487.943 | + | 127.471i | 0.619217 | + | 0.161766i | ||||
\(789\) | 771.001 | + | 137.825i | 0.977188 | + | 0.174684i | ||||
\(790\) | −6.38062 | + | 49.6680i | −0.00807674 | + | 0.0628709i | ||||
\(791\) | −1308.31 | − | 755.352i | −1.65399 | − | 0.954934i | ||||
\(792\) | −614.835 | + | 323.730i | −0.776307 | + | 0.408751i | ||||
\(793\) | 816.627 | + | 1414.44i | 1.02979 | + | 1.78366i | ||||
\(794\) | −65.9064 | − | 157.712i | −0.0830056 | − | 0.198630i | ||||
\(795\) | −48.6696 | + | 40.6433i | −0.0612197 | + | 0.0511237i | ||||
\(796\) | −212.121 | − | 209.479i | −0.266484 | − | 0.263164i | ||||
\(797\) | −260.173 | − | 94.6953i | −0.326441 | − | 0.118815i | 0.173601 | − | 0.984816i | \(-0.444460\pi\) |
−0.500041 | + | 0.866001i | \(0.666682\pi\) | |||||||
\(798\) | 413.963 | − | 92.1096i | 0.518751 | − | 0.115426i | ||||
\(799\) | 62.7359 | + | 11.0620i | 0.0785180 | + | 0.0138448i | ||||
\(800\) | −185.027 | − | 776.794i | −0.231284 | − | 0.970992i | ||||
\(801\) | 530.736 | + | 929.366i | 0.662592 | + | 1.16026i | ||||
\(802\) | 15.7473 | + | 336.470i | 0.0196350 | + | 0.419539i | ||||
\(803\) | 166.129 | − | 197.985i | 0.206885 | − | 0.246556i | ||||
\(804\) | 272.052 | + | 577.515i | 0.338373 | + | 0.718302i | ||||
\(805\) | −13.5678 | − | 76.9470i | −0.0168545 | − | 0.0955864i | ||||
\(806\) | 5.99395 | + | 1.86925i | 0.00743666 | + | 0.00231917i | ||||
\(807\) | 473.306 | + | 824.277i | 0.586501 | + | 1.02141i | ||||
\(808\) | 177.814 | + | 333.876i | 0.220067 | + | 0.413213i | ||||
\(809\) | 638.629 | 0.789405 | 0.394702 | − | 0.918809i | \(-0.370848\pi\) | ||||
0.394702 | + | 0.918809i | \(0.370848\pi\) | |||||||
\(810\) | 1.29748 | + | 34.7444i | 0.00160183 | + | 0.0428944i | ||||
\(811\) | − | 260.263i | − | 0.320916i | −0.987043 | − | 0.160458i | \(-0.948703\pi\) | ||
0.987043 | − | 0.160458i | \(-0.0512971\pi\) | |||||||
\(812\) | 399.628 | + | 32.4402i | 0.492152 | + | 0.0399510i | ||||
\(813\) | 457.619 | − | 262.768i | 0.562877 | − | 0.323208i | ||||
\(814\) | −888.172 | − | 276.982i | −1.09112 | − | 0.340273i | ||||
\(815\) | −42.8097 | + | 7.54850i | −0.0525272 | + | 0.00926196i | ||||
\(816\) | 0.836654 | + | 82.2170i | 0.00102531 | + | 0.100756i | ||||
\(817\) | 214.172 | + | 179.711i | 0.262144 | + | 0.219965i | ||||
\(818\) | −13.0078 | − | 277.936i | −0.0159019 | − | 0.339774i | ||||
\(819\) | −9.79225 | + | 2074.41i | −0.0119563 | + | 2.53285i | ||||
\(820\) | 17.5483 | − | 1.64617i | 0.0214004 | − | 0.00200753i | ||||
\(821\) | −179.659 | + | 1018.90i | −0.218830 | + | 1.24104i | 0.655307 | + | 0.755363i | \(0.272539\pi\) |
−0.874136 | + | 0.485681i | \(0.838572\pi\) | |||||||
\(822\) | 147.120 | − | 32.7353i | 0.178979 | − | 0.0398239i | ||||
\(823\) | 206.443 | − | 567.198i | 0.250842 | − | 0.689183i | −0.748809 | − | 0.662786i | \(-0.769374\pi\) |
0.999652 | − | 0.0263979i | \(-0.00840369\pi\) | |||||||
\(824\) | −415.976 | − | 88.1249i | −0.504826 | − | 0.106948i | ||||
\(825\) | 463.090 | + | 554.542i | 0.561321 | + | 0.672172i | ||||
\(826\) | −112.463 | − | 269.121i | −0.136154 | − | 0.325813i | ||||
\(827\) | 584.555 | − | 337.493i | 0.706838 | − | 0.408093i | −0.103051 | − | 0.994676i | \(-0.532860\pi\) |
0.809889 | + | 0.586583i | \(0.199527\pi\) | |||||||
\(828\) | 480.167 | + | 1025.57i | 0.579911 | + | 1.23862i | ||||
\(829\) | 109.326 | − | 189.359i | 0.131877 | − | 0.228418i | −0.792523 | − | 0.609842i | \(-0.791233\pi\) |
0.924400 | + | 0.381424i | \(0.124566\pi\) | |||||||
\(830\) | −6.15724 | + | 47.9292i | −0.00741836 | + | 0.0577460i | ||||
\(831\) | −8.44346 | + | 47.2331i | −0.0101606 | + | 0.0568388i | ||||
\(832\) | −560.292 | − | 1144.84i | −0.673427 | − | 1.37601i | ||||
\(833\) | −111.465 | + | 93.5303i | −0.133812 | + | 0.112281i | ||||
\(834\) | 28.1752 | + | 44.1508i | 0.0337832 | + | 0.0529386i | ||||
\(835\) | 10.9595 | + | 30.1109i | 0.0131251 | + | 0.0360609i | ||||
\(836\) | 98.2932 | − | 214.287i | 0.117576 | − | 0.256324i | ||||
\(837\) | −2.71260 | − | 3.27963i | −0.00324086 | − | 0.00391832i | ||||
\(838\) | 153.103 | + | 238.670i | 0.182701 | + | 0.284809i | ||||
\(839\) | 257.800 | + | 708.300i | 0.307270 | + | 0.844219i | 0.993186 | + | 0.116538i | \(0.0371796\pi\) |
−0.685916 | + | 0.727681i | \(0.740598\pi\) | |||||||
\(840\) | 22.4249 | − | 55.2355i | 0.0266963 | − | 0.0657566i | ||||
\(841\) | −586.783 | + | 492.369i | −0.697721 | + | 0.585457i | ||||
\(842\) | 144.858 | + | 157.094i | 0.172040 | + | 0.186572i | ||||
\(843\) | −898.246 | + | 324.536i | −1.06553 | + | 0.384977i | ||||
\(844\) | −46.9108 | − | 98.9761i | −0.0555815 | − | 0.117270i | ||||
\(845\) | −24.4269 | + | 42.3086i | −0.0289075 | + | 0.0500693i | ||||
\(846\) | 638.111 | + | 202.309i | 0.754268 | + | 0.239136i | ||||
\(847\) | 279.266 | − | 161.234i | 0.329711 | − | 0.190359i | ||||
\(848\) | −1354.61 | + | 804.891i | −1.59741 | + | 0.949164i | ||||
\(849\) | −608.780 | + | 105.863i | −0.717056 | + | 0.124692i | ||||
\(850\) | 83.4045 | − | 18.7648i | 0.0981229 | − | 0.0220762i | ||||
\(851\) | −518.577 | + | 1424.78i | −0.609374 | + | 1.67424i | ||||
\(852\) | −231.673 | + | 878.332i | −0.271917 | + | 1.03091i | ||||
\(853\) | 198.372 | − | 1125.02i | 0.232558 | − | 1.31890i | −0.615138 | − | 0.788419i | \(-0.710900\pi\) |
0.847696 | − | 0.530482i | \(-0.177989\pi\) | |||||||
\(854\) | −871.241 | + | 1686.52i | −1.02019 | + | 1.97485i | ||||
\(855\) | −7.53993 | − | 9.07237i | −0.00881863 | − | 0.0106110i | ||||
\(856\) | −93.2721 | + | 231.306i | −0.108963 | + | 0.270218i | ||||
\(857\) | −226.349 | − | 189.929i | −0.264117 | − | 0.221621i | 0.501106 | − | 0.865386i | \(-0.332927\pi\) |
−0.765223 | + | 0.643765i | \(0.777371\pi\) | |||||||
\(858\) | 915.438 | + | 701.316i | 1.06694 | + | 0.817384i | ||||
\(859\) | 156.184 | − | 27.5395i | 0.181821 | − | 0.0320600i | −0.0819961 | − | 0.996633i | \(-0.526130\pi\) |
0.263817 | + | 0.964573i | \(0.415018\pi\) | |||||||
\(860\) | 37.8972 | − | 10.4095i | 0.0440665 | − | 0.0121041i | ||||
\(861\) | −616.492 | − | 357.875i | −0.716019 | − | 0.415650i | ||||
\(862\) | −891.041 | − | 679.294i | −1.03369 | − | 0.788044i | ||||
\(863\) | − | 222.807i | − | 0.258177i | −0.991633 | − | 0.129089i | \(-0.958795\pi\) | ||
0.991633 | − | 0.129089i | \(-0.0412052\pi\) | |||||||
\(864\) | −105.413 | + | 857.545i | −0.122006 | + | 0.992529i | ||||
\(865\) | 67.0992 | 0.0775713 | ||||||||
\(866\) | −462.936 | + | 607.242i | −0.534569 | + | 0.701203i | ||||
\(867\) | 858.195 | + | 2.02555i | 0.989844 | + | 0.00233627i | ||||
\(868\) | 1.93286 | + | 7.03680i | 0.00222680 | + | 0.00810691i | ||||
\(869\) | −195.506 | − | 1108.77i | −0.224978 | − | 1.27592i | ||||
\(870\) | −4.27594 | − | 10.3005i | −0.00491487 | − | 0.0118396i | ||||
\(871\) | 681.021 | − | 811.609i | 0.781884 | − | 0.931813i | ||||
\(872\) | 464.372 | + | 187.254i | 0.532537 | + | 0.214740i | ||||
\(873\) | −168.914 | − | 143.100i | −0.193487 | − | 0.163918i | ||||
\(874\) | −341.355 | − | 176.341i | −0.390567 | − | 0.201763i | ||||
\(875\) | −122.197 | − | 21.5465i | −0.139653 | − | 0.0246246i | ||||
\(876\) | −84.3875 | − | 310.086i | −0.0963328 | − | 0.353980i | ||||
\(877\) | −443.850 | − | 161.548i | −0.506100 | − | 0.184205i | 0.0763355 | − | 0.997082i | \(-0.475678\pi\) |
−0.582436 | + | 0.812877i | \(0.697900\pi\) | |||||||
\(878\) | −212.144 | − | 942.925i | −0.241622 | − | 1.07395i | ||||
\(879\) | 272.542 | + | 99.9264i | 0.310060 | + | 0.113682i | ||||
\(880\) | −16.9286 | − | 28.4903i | −0.0192370 | − | 0.0323753i | ||||
\(881\) | 40.2626 | + | 69.7369i | 0.0457010 | + | 0.0791565i | 0.887971 | − | 0.459899i | \(-0.152115\pi\) |
−0.842270 | + | 0.539056i | \(0.818781\pi\) | |||||||
\(882\) | −1290.87 | + | 819.498i | −1.46357 | + | 0.929136i | ||||
\(883\) | −820.367 | − | 473.639i | −0.929068 | − | 0.536398i | −0.0425516 | − | 0.999094i | \(-0.513549\pi\) |
−0.886517 | + | 0.462696i | \(0.846882\pi\) | |||||||
\(884\) | 123.308 | − | 58.4430i | 0.139488 | − | 0.0661120i | ||||
\(885\) | −5.22979 | + | 6.20283i | −0.00590937 | + | 0.00700885i | ||||
\(886\) | −463.279 | + | 427.196i | −0.522888 | + | 0.482162i | ||||
\(887\) | −422.053 | − | 502.984i | −0.475821 | − | 0.567062i | 0.473731 | − | 0.880669i | \(-0.342907\pi\) |
−0.949553 | + | 0.313608i | \(0.898462\pi\) | |||||||
\(888\) | −912.794 | + | 710.680i | −1.02792 | + | 0.800315i | ||||
\(889\) | 329.516 | − | 119.934i | 0.370659 | − | 0.134909i | ||||
\(890\) | −42.9634 | + | 27.5604i | −0.0482734 | + | 0.0309667i | ||||
\(891\) | −260.415 | − | 737.061i | −0.292272 | − | 0.827229i | ||||
\(892\) | −143.966 | − | 66.0368i | −0.161396 | − | 0.0740323i | ||||
\(893\) | −213.426 | + | 77.6806i | −0.238999 | + | 0.0869884i | ||||
\(894\) | 51.6805 | + | 26.8524i | 0.0578082 | + | 0.0300362i | ||||
\(895\) | −3.70454 | − | 4.41490i | −0.00413915 | − | 0.00493285i | ||||
\(896\) | 768.361 | − | 1266.57i | 0.857546 | − | 1.41358i | ||||
\(897\) | 1211.44 | − | 1436.84i | 1.35055 | − | 1.60182i | ||||
\(898\) | −1619.97 | − | 208.111i | −1.80398 | − | 0.231749i | ||||
\(899\) | 1.18231 | + | 0.682610i | 0.00131514 | + | 0.000759299i | ||||
\(900\) | 894.801 | − | 79.6805i | 0.994223 | − | 0.0885339i | ||||
\(901\) | −84.3460 | − | 146.092i | −0.0936138 | − | 0.162144i | ||||
\(902\) | −365.633 | + | 152.795i | −0.405358 | + | 0.169395i | ||||
\(903\) | −1492.33 | − | 547.157i | −1.65264 | − | 0.605933i | ||||
\(904\) | −216.422 | + | 1021.58i | −0.239405 | + | 1.13006i | ||||
\(905\) | −58.1010 | − | 21.1471i | −0.0642001 | − | 0.0233669i | ||||
\(906\) | 537.665 | + | 169.068i | 0.593449 | + | 0.186609i | ||||
\(907\) | −1463.07 | − | 257.979i | −1.61309 | − | 0.284431i | −0.706902 | − | 0.707312i | \(-0.749908\pi\) |
−0.906185 | + | 0.422881i | \(0.861019\pi\) | |||||||
\(908\) | −139.270 | − | 1484.62i | −0.153381 | − | 1.63504i | ||||
\(909\) | −400.577 | + | 143.660i | −0.440678 | + | 0.158042i | ||||
\(910\) | −98.8289 | + | 4.62533i | −0.108603 | + | 0.00508278i | ||||
\(911\) | 654.039 | − | 779.454i | 0.717936 | − | 0.855603i | −0.276493 | − | 0.961016i | \(-0.589172\pi\) |
0.994428 | + | 0.105413i | \(0.0336166\pi\) | |||||||
\(912\) | −149.148 | − | 252.365i | −0.163539 | − | 0.276716i | ||||
\(913\) | −188.662 | − | 1069.95i | −0.206639 | − | 1.17191i | ||||
\(914\) | −30.5750 | + | 98.0420i | −0.0334519 | + | 0.107267i | ||||
\(915\) | 52.8026 | + | 0.124627i | 0.0577078 | + | 0.000136204i | ||||
\(916\) | 93.0355 | − | 1146.10i | 0.101567 | − | 1.25120i | ||||
\(917\) | −2132.96 | −2.32602 | ||||||||
\(918\) | −91.6592 | − | 12.4354i | −0.0998466 | − | 0.0135462i | ||||
\(919\) | − | 320.861i | − | 0.349141i | −0.984645 | − | 0.174571i | \(-0.944146\pi\) | ||
0.984645 | − | 0.174571i | \(-0.0558537\pi\) | |||||||
\(920\) | −47.6699 | + | 25.3879i | −0.0518151 | + | 0.0275955i | ||||
\(921\) | −701.621 | − | 407.292i | −0.761803 | − | 0.442228i | ||||
\(922\) | −354.435 | + | 1136.53i | −0.384419 | + | 1.23268i | ||||
\(923\) | 1484.65 | − | 261.785i | 1.60851 | − | 0.283624i | ||||
\(924\) | −111.598 | + | 1335.66i | −0.120777 | + | 1.44552i | ||||
\(925\) | 921.408 | + | 773.153i | 0.996117 | + | 0.835841i | ||||
\(926\) | 862.349 | − | 40.3591i | 0.931262 | − | 0.0435843i | ||||
\(927\) | 165.729 | − | 448.734i | 0.178780 | − | 0.484071i | ||||
\(928\) | −64.2176 | − | 269.602i | −0.0692000 | − | 0.290520i | ||||
\(929\) | −57.4894 | + | 326.039i | −0.0618831 | + | 0.350957i | 0.938106 | + | 0.346348i | \(0.112578\pi\) |
−0.999989 | + | 0.00460898i | \(0.998533\pi\) | |||||||
\(930\) | 0.149552 | − | 0.137252i | 0.000160809 | − | 0.000147583i | ||||
\(931\) | 177.433 | − | 487.492i | 0.190583 | − | 0.523622i | ||||
\(932\) | −1033.62 | + | 1046.66i | −1.10903 | + | 1.12302i | ||||
\(933\) | −57.0257 | + | 9.91645i | −0.0611208 | + | 0.0106286i | ||||
\(934\) | 1393.96 | − | 582.521i | 1.49246 | − | 0.623684i | ||||
\(935\) | 3.07262 | − | 1.77398i | 0.00328622 | − | 0.00189730i | ||||
\(936\) | 1365.52 | − | 437.585i | 1.45889 | − | 0.467505i | ||||
\(937\) | −663.749 | + | 1149.65i | −0.708376 | + | 1.22694i | 0.257083 | + | 0.966389i | \(0.417239\pi\) |
−0.965459 | + | 0.260554i | \(0.916095\pi\) | |||||||
\(938\) | 1221.35 | + | 156.902i | 1.30208 | + | 0.167273i | ||||
\(939\) | 1369.77 | − | 494.898i | 1.45876 | − | 0.527048i | ||||
\(940\) | −8.06979 | + | 30.8901i | −0.00858488 | + | 0.0328618i | ||||
\(941\) | 292.985 | − | 245.844i | 0.311355 | − | 0.261258i | −0.473697 | − | 0.880688i | \(-0.657081\pi\) |
0.785052 | + | 0.619430i | \(0.212636\pi\) | |||||||
\(942\) | 35.9082 | + | 808.084i | 0.0381191 | + | 0.857838i | ||||
\(943\) | 220.881 | + | 606.867i | 0.234233 | + | 0.643549i | ||||
\(944\) | −152.810 | + | 131.522i | −0.161875 | + | 0.139324i | ||||
\(945\) | 57.8418 | + | 33.9433i | 0.0612083 | + | 0.0359189i | ||||
\(946\) | −743.738 | + | 477.097i | −0.786192 | + | 0.504331i | ||||
\(947\) | −108.937 | − | 299.302i | −0.115034 | − | 0.316053i | 0.868793 | − | 0.495176i | \(-0.164896\pi\) |
−0.983827 | + | 0.179123i | \(0.942674\pi\) | |||||||
\(948\) | −1271.08 | − | 586.678i | −1.34080 | − | 0.618858i | ||||
\(949\) | −408.565 | + | 342.827i | −0.430522 | + | 0.361251i | ||||
\(950\) | −224.072 | + | 206.620i | −0.235866 | + | 0.217495i | ||||
\(951\) | −289.461 | + | 1619.26i | −0.304375 | + | 1.70269i | ||||
\(952\) | 134.555 | + | 83.9532i | 0.141340 | + | 0.0881861i | ||||
\(953\) | 61.8869 | − | 107.191i | 0.0649391 | − | 0.112478i | −0.831728 | − | 0.555183i | \(-0.812648\pi\) |
0.896667 | + | 0.442706i | \(0.145981\pi\) | |||||||
\(954\) | −675.767 | − | 1638.79i | −0.708351 | − | 1.71781i | ||||
\(955\) | 41.9060 | − | 24.1944i | 0.0438806 | − | 0.0253345i | ||||
\(956\) | −404.598 | + | 585.603i | −0.423219 | + | 0.612556i | ||||
\(957\) | 160.725 | + | 192.465i | 0.167947 | + | 0.201113i | ||||
\(958\) | 259.084 | + | 1151.56i | 0.270442 | + | 1.20204i | ||||
\(959\) | 99.4332 | − | 273.190i | 0.103684 | − | 0.284870i | ||||
\(960\) | −41.1040 | − | 2.91597i | −0.0428167 | − | 0.00303747i | ||||
\(961\) | 166.872 | − | 946.376i | 0.173644 | − | 0.984782i | ||||
\(962\) | 1705.75 | + | 881.173i | 1.77313 | + | 0.915980i | ||||
\(963\) | −242.324 | − | 141.435i | −0.251634 | − | 0.146869i | ||||
\(964\) | −807.010 | − | 1137.29i | −0.837147 | − | 1.17976i | ||||
\(965\) | −33.8871 | − | 28.4346i | −0.0351161 | − | 0.0294659i | ||||
\(966\) | 2165.86 | + | 283.437i | 2.24210 | + | 0.293413i | ||||
\(967\) | −59.4973 | + | 10.4910i | −0.0615277 | + | 0.0108490i | −0.204327 | − | 0.978903i | \(-0.565501\pi\) |
0.142800 | + | 0.989752i | \(0.454390\pi\) | |||||||
\(968\) | −165.748 | − | 149.038i | −0.171228 | − | 0.153965i | ||||
\(969\) | 27.2160 | − | 15.6276i | 0.0280867 | − | 0.0161276i | ||||
\(970\) | 6.40131 | − | 8.39670i | 0.00659929 | − | 0.00865639i | ||||
\(971\) | − | 670.687i | − | 0.690718i | −0.938471 | − | 0.345359i | \(-0.887757\pi\) | ||
0.938471 | − | 0.345359i | \(-0.112243\pi\) | |||||||
\(972\) | −937.474 | − | 256.763i | −0.964479 | − | 0.264160i | ||||
\(973\) | 101.027 | 0.103830 | ||||||||
\(974\) | 754.200 | + | 574.972i | 0.774333 | + | 0.590320i | ||||
\(975\) | −742.406 | − | 1292.92i | −0.761442 | − | 1.32607i | ||||
\(976\) | 1294.97 | + | 211.635i | 1.32681 | + | 0.216839i | ||||
\(977\) | 123.095 | + | 698.106i | 0.125993 | + | 0.714540i | 0.980713 | + | 0.195452i | \(0.0626173\pi\) |
−0.854721 | + | 0.519088i | \(0.826272\pi\) | |||||||
\(978\) | 157.691 | − | 1204.98i | 0.161238 | − | 1.23209i | ||||
\(979\) | 737.676 | − | 879.128i | 0.753500 | − | 0.897986i | ||||
\(980\) | −42.2015 | − | 59.4731i | −0.0430628 | − | 0.0606869i | ||||
\(981\) | −283.946 | + | 486.491i | −0.289446 | + | 0.495913i | ||||
\(982\) | 261.067 | − | 505.366i | 0.265852 | − | 0.514629i | ||||
\(983\) | −668.074 | − | 117.799i | −0.679628 | − | 0.119837i | −0.176831 | − | 0.984241i | \(-0.556585\pi\) |
−0.502797 | + | 0.864405i | \(0.667696\pi\) | |||||||
\(984\) | −103.258 | + | 481.797i | −0.104937 | + | 0.489631i | ||||
\(985\) | −25.4275 | − | 9.25486i | −0.0258147 | − | 0.00939579i | ||||
\(986\) | 28.9472 | − | 6.51270i | 0.0293583 | − | 0.00660517i | ||||
\(987\) | 991.105 | − | 827.658i | 1.00416 | − | 0.838559i | ||||
\(988\) | −276.547 | + | 400.266i | −0.279905 | + | 0.405127i | ||||
\(989\) | 720.015 | + | 1247.10i | 0.728023 | + | 1.26097i | ||||
\(990\) | 34.4673 | − | 14.2128i | 0.0348155 | − | 0.0143564i | ||||
\(991\) | −1062.37 | − | 613.362i | −1.07202 | − | 0.618932i | −0.143289 | − | 0.989681i | \(-0.545768\pi\) |
−0.928733 | + | 0.370749i | \(0.879101\pi\) | |||||||
\(992\) | 4.21127 | − | 2.77660i | 0.00424524 | − | 0.00279899i | ||||
\(993\) | 1604.16 | + | 286.762i | 1.61547 | + | 0.288783i | ||||
\(994\) | 1187.79 | + | 1288.12i | 1.19496 | + | 1.29590i | ||||
\(995\) | 10.2819 | + | 12.2535i | 0.0103336 | + | 0.0123151i | ||||
\(996\) | −1226.58 | − | 566.138i | −1.23151 | − | 0.568412i | ||||
\(997\) | 1118.16 | − | 406.977i | 1.12152 | − | 0.408202i | 0.286316 | − | 0.958135i | \(-0.407569\pi\) |
0.835209 | + | 0.549933i | \(0.185347\pi\) | |||||||
\(998\) | 405.642 | + | 632.349i | 0.406455 | + | 0.633616i | ||||
\(999\) | −642.721 | − | 1131.66i | −0.643364 | − | 1.13279i |
(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 | 108.3.j.a.7.9 | yes | 204 | |
3.2 | odd | 2 | 324.3.j.a.19.26 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.7.2 | ✓ | 204 | |
12.11 | even | 2 | 324.3.j.a.19.33 | 204 | |||
27.4 | even | 9 | inner | 108.3.j.a.31.2 | yes | 204 | |
27.23 | odd | 18 | 324.3.j.a.307.33 | 204 | |||
108.23 | even | 18 | 324.3.j.a.307.26 | 204 | |||
108.31 | odd | 18 | inner | 108.3.j.a.31.9 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.2 | ✓ | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.7.9 | yes | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.31.2 | yes | 204 | 27.4 | even | 9 | inner | |
108.3.j.a.31.9 | yes | 204 | 108.31 | odd | 18 | inner | |
324.3.j.a.19.26 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.19.33 | 204 | 12.11 | even | 2 | |||
324.3.j.a.307.26 | 204 | 108.23 | even | 18 | |||
324.3.j.a.307.33 | 204 | 27.23 | odd | 18 |