Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(101,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bn (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 173.15 | ||
Character | \(\chi\) | \(=\) | 546.173 |
Dual form | 546.2.bn.e.101.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | 1.60671 | + | 0.646913i | 0.927632 | + | 0.373495i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.60318 | − | 1.50295i | −1.16418 | − | 0.672139i | −0.211876 | − | 0.977296i | \(-0.567957\pi\) |
−0.952302 | + | 0.305158i | \(0.901291\pi\) | |||||||
\(6\) | −0.243110 | − | 1.71490i | −0.0992493 | − | 0.700107i | ||||
\(7\) | −0.916975 | + | 2.48177i | −0.346584 | + | 0.938019i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.16301 | + | 2.07880i | 0.721003 | + | 0.692932i | ||||
\(10\) | 3.00590i | 0.950548i | ||||||||
\(11\) | −4.03218 | −1.21575 | −0.607873 | − | 0.794034i | \(-0.707977\pi\) | ||||
−0.607873 | + | 0.794034i | \(0.707977\pi\) | |||||||
\(12\) | −1.36360 | + | 1.06799i | −0.393636 | + | 0.308303i | ||||
\(13\) | −0.138085 | + | 3.60291i | −0.0382978 | + | 0.999266i | ||||
\(14\) | 2.60776 | − | 0.446759i | 0.696953 | − | 0.119401i | ||||
\(15\) | −3.21027 | − | 4.09883i | −0.828889 | − | 1.05831i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.67166 | + | 2.89540i | −0.405437 | + | 0.702238i | −0.994372 | − | 0.105943i | \(-0.966214\pi\) |
0.588935 | + | 0.808180i | \(0.299547\pi\) | |||||||
\(18\) | 0.718787 | − | 2.91262i | 0.169420 | − | 0.686511i | ||||
\(19\) | −5.13758 | −1.17864 | −0.589320 | − | 0.807899i | \(-0.700604\pi\) | ||||
−0.589320 | + | 0.807899i | \(0.700604\pi\) | |||||||
\(20\) | 2.60318 | − | 1.50295i | 0.582089 | − | 0.336069i | ||||
\(21\) | −3.07879 | + | 3.39426i | −0.671848 | + | 0.740689i | ||||
\(22\) | 2.01609 | + | 3.49197i | 0.429831 | + | 0.744490i | ||||
\(23\) | 2.14877 | − | 1.24059i | 0.448050 | − | 0.258682i | −0.258956 | − | 0.965889i | \(-0.583379\pi\) |
0.707006 | + | 0.707207i | \(0.250045\pi\) | |||||||
\(24\) | 1.60671 | + | 0.646913i | 0.327967 | + | 0.132050i | ||||
\(25\) | 2.01770 | + | 3.49476i | 0.403541 | + | 0.698953i | ||||
\(26\) | 3.18925 | − | 1.68187i | 0.625463 | − | 0.329842i | ||||
\(27\) | 2.13052 | + | 4.73929i | 0.410018 | + | 0.912077i | ||||
\(28\) | −1.69078 | − | 2.03501i | −0.319528 | − | 0.384580i | ||||
\(29\) | 3.74921 | + | 2.16461i | 0.696211 | + | 0.401958i | 0.805935 | − | 0.592005i | \(-0.201663\pi\) |
−0.109724 | + | 0.993962i | \(0.534997\pi\) | |||||||
\(30\) | −1.94455 | + | 4.82959i | −0.355025 | + | 0.881758i | ||||
\(31\) | 2.95768 | + | 5.12285i | 0.531215 | + | 0.920091i | 0.999336 | + | 0.0364270i | \(0.0115977\pi\) |
−0.468121 | + | 0.883664i | \(0.655069\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | −6.47852 | − | 2.60847i | −1.12777 | − | 0.454076i | ||||
\(34\) | 3.34332 | 0.573375 | ||||||||
\(35\) | 6.11701 | − | 5.08232i | 1.03396 | − | 0.859069i | ||||
\(36\) | −2.88179 | + | 0.833822i | −0.480299 | + | 0.138970i | ||||
\(37\) | −2.22571 | + | 1.28501i | −0.365904 | + | 0.211255i | −0.671667 | − | 0.740853i | \(-0.734422\pi\) |
0.305764 | + | 0.952107i | \(0.401088\pi\) | |||||||
\(38\) | 2.56879 | + | 4.44927i | 0.416712 | + | 0.721767i | ||||
\(39\) | −2.55263 | + | 5.69948i | −0.408747 | + | 0.912648i | ||||
\(40\) | −2.60318 | − | 1.50295i | −0.411599 | − | 0.237637i | ||||
\(41\) | −6.29653 | − | 3.63530i | −0.983352 | − | 0.567739i | −0.0800717 | − | 0.996789i | \(-0.525515\pi\) |
−0.903281 | + | 0.429050i | \(0.858848\pi\) | |||||||
\(42\) | 4.47892 | + | 0.969182i | 0.691112 | + | 0.149548i | ||||
\(43\) | −2.23692 | − | 3.87445i | −0.341127 | − | 0.590849i | 0.643516 | − | 0.765433i | \(-0.277475\pi\) |
−0.984642 | + | 0.174584i | \(0.944142\pi\) | |||||||
\(44\) | 2.01609 | − | 3.49197i | 0.303937 | − | 0.526434i | ||||
\(45\) | −2.50638 | − | 8.66237i | −0.373629 | − | 1.29131i | ||||
\(46\) | −2.14877 | − | 1.24059i | −0.316819 | − | 0.182916i | ||||
\(47\) | 5.77285 | + | 3.33296i | 0.842057 | + | 0.486162i | 0.857963 | − | 0.513712i | \(-0.171730\pi\) |
−0.0159060 | + | 0.999873i | \(0.505063\pi\) | |||||||
\(48\) | −0.243110 | − | 1.71490i | −0.0350899 | − | 0.247525i | ||||
\(49\) | −5.31832 | − | 4.55143i | −0.759759 | − | 0.650204i | ||||
\(50\) | 2.01770 | − | 3.49476i | 0.285346 | − | 0.494234i | ||||
\(51\) | −4.55894 | + | 3.57064i | −0.638379 | + | 0.499990i | ||||
\(52\) | −3.05117 | − | 1.92104i | −0.423121 | − | 0.266400i | ||||
\(53\) | −8.50304 | + | 4.90923i | −1.16798 | + | 0.674335i | −0.953204 | − | 0.302327i | \(-0.902236\pi\) |
−0.214779 | + | 0.976663i | \(0.568903\pi\) | |||||||
\(54\) | 3.03909 | − | 4.21473i | 0.413568 | − | 0.573552i | ||||
\(55\) | 10.4965 | + | 6.06015i | 1.41535 | + | 0.817150i | ||||
\(56\) | −0.916975 | + | 2.48177i | −0.122536 | + | 0.331640i | ||||
\(57\) | −8.25457 | − | 3.32356i | −1.09335 | − | 0.440217i | ||||
\(58\) | − | 4.32922i | − | 0.568454i | ||||||
\(59\) | 2.75459 | + | 1.59037i | 0.358618 | + | 0.207048i | 0.668474 | − | 0.743735i | \(-0.266948\pi\) |
−0.309857 | + | 0.950783i | \(0.600281\pi\) | |||||||
\(60\) | 5.15482 | − | 0.730764i | 0.665485 | − | 0.0943412i | ||||
\(61\) | − | 6.66557i | − | 0.853438i | −0.904384 | − | 0.426719i | \(-0.859669\pi\) | ||
0.904384 | − | 0.426719i | \(-0.140331\pi\) | |||||||
\(62\) | 2.95768 | − | 5.12285i | 0.375626 | − | 0.650603i | ||||
\(63\) | −7.14251 | + | 3.46187i | −0.899872 | + | 0.436155i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 5.77444 | − | 9.17149i | 0.716231 | − | 1.13758i | ||||
\(66\) | 0.980263 | + | 6.91480i | 0.120662 | + | 0.851153i | ||||
\(67\) | 8.14055i | 0.994527i | 0.867600 | + | 0.497264i | \(0.165662\pi\) | ||||
−0.867600 | + | 0.497264i | \(0.834338\pi\) | |||||||
\(68\) | −1.67166 | − | 2.89540i | −0.202719 | − | 0.351119i | ||||
\(69\) | 4.25500 | − | 0.603202i | 0.512242 | − | 0.0726170i | ||||
\(70\) | −7.45993 | − | 2.75633i | −0.891632 | − | 0.329444i | ||||
\(71\) | 0.436496 | + | 0.756034i | 0.0518026 | + | 0.0897247i | 0.890764 | − | 0.454466i | \(-0.150170\pi\) |
−0.838961 | + | 0.544191i | \(0.816837\pi\) | |||||||
\(72\) | 2.16301 | + | 2.07880i | 0.254913 | + | 0.244989i | ||||
\(73\) | 6.78690 | + | 11.7553i | 0.794347 | + | 1.37585i | 0.923253 | + | 0.384192i | \(0.125520\pi\) |
−0.128906 | + | 0.991657i | \(0.541147\pi\) | |||||||
\(74\) | 2.22571 | + | 1.28501i | 0.258733 | + | 0.149380i | ||||
\(75\) | 0.981048 | + | 6.92034i | 0.113282 | + | 0.799092i | ||||
\(76\) | 2.56879 | − | 4.44927i | 0.294660 | − | 0.510366i | ||||
\(77\) | 3.69740 | − | 10.0069i | 0.421358 | − | 1.14039i | ||||
\(78\) | 6.21221 | − | 0.639101i | 0.703394 | − | 0.0723640i | ||||
\(79\) | 8.50477 | − | 14.7307i | 0.956862 | − | 1.65733i | 0.226813 | − | 0.973938i | \(-0.427169\pi\) |
0.730049 | − | 0.683395i | \(-0.239497\pi\) | |||||||
\(80\) | 3.00590i | 0.336069i | ||||||||
\(81\) | 0.357208 | + | 8.99291i | 0.0396897 | + | 0.999212i | ||||
\(82\) | 7.27060i | 0.802904i | ||||||||
\(83\) | − | 12.6597i | − | 1.38958i | −0.719211 | − | 0.694792i | \(-0.755496\pi\) | ||
0.719211 | − | 0.694792i | \(-0.244504\pi\) | |||||||
\(84\) | −1.40012 | − | 4.36345i | −0.152766 | − | 0.476091i | ||||
\(85\) | 8.70327 | − | 5.02484i | 0.944002 | − | 0.545020i | ||||
\(86\) | −2.23692 | + | 3.87445i | −0.241213 | + | 0.417793i | ||||
\(87\) | 4.62357 | + | 5.90330i | 0.495698 | + | 0.632900i | ||||
\(88\) | −4.03218 | −0.429831 | ||||||||
\(89\) | −3.15127 | + | 1.81939i | −0.334034 | + | 0.192855i | −0.657631 | − | 0.753341i | \(-0.728441\pi\) |
0.323597 | + | 0.946195i | \(0.395108\pi\) | |||||||
\(90\) | −6.24865 | + | 6.50178i | −0.658665 | + | 0.685347i | ||||
\(91\) | −8.81495 | − | 3.64647i | −0.924057 | − | 0.382254i | ||||
\(92\) | 2.48119i | 0.258682i | ||||||||
\(93\) | 1.43808 | + | 10.1443i | 0.149122 | + | 1.05191i | ||||
\(94\) | − | 6.66591i | − | 0.687537i | ||||||
\(95\) | 13.3740 | + | 7.72151i | 1.37215 | + | 0.792210i | ||||
\(96\) | −1.36360 | + | 1.06799i | −0.139171 | + | 0.109001i | ||||
\(97\) | −1.10676 | − | 1.91696i | −0.112374 | − | 0.194638i | 0.804353 | − | 0.594152i | \(-0.202512\pi\) |
−0.916727 | + | 0.399514i | \(0.869179\pi\) | |||||||
\(98\) | −1.28250 | + | 6.88151i | −0.129552 | + | 0.695138i | ||||
\(99\) | −8.72163 | − | 8.38208i | −0.876557 | − | 0.842430i | ||||
\(100\) | −4.03541 | −0.403541 | ||||||||
\(101\) | −13.0632 | −1.29983 | −0.649917 | − | 0.760005i | \(-0.725196\pi\) | ||||
−0.649917 | + | 0.760005i | \(0.725196\pi\) | |||||||
\(102\) | 5.37173 | + | 2.16284i | 0.531881 | + | 0.214153i | ||||
\(103\) | 14.8587 | + | 8.57869i | 1.46407 | + | 0.845283i | 0.999196 | − | 0.0400914i | \(-0.0127649\pi\) |
0.464878 | + | 0.885375i | \(0.346098\pi\) | |||||||
\(104\) | −0.138085 | + | 3.60291i | −0.0135403 | + | 0.353294i | ||||
\(105\) | 13.1161 | − | 4.20862i | 1.28000 | − | 0.410719i | ||||
\(106\) | 8.50304 | + | 4.90923i | 0.825889 | + | 0.476827i | ||||
\(107\) | −1.75243 | + | 1.01176i | −0.169413 | + | 0.0978109i | −0.582309 | − | 0.812967i | \(-0.697851\pi\) |
0.412896 | + | 0.910778i | \(0.364517\pi\) | |||||||
\(108\) | −5.16961 | − | 0.524564i | −0.497446 | − | 0.0504762i | ||||
\(109\) | 11.9872 | − | 6.92083i | 1.14817 | − | 0.662895i | 0.199728 | − | 0.979851i | \(-0.435994\pi\) |
0.948440 | + | 0.316956i | \(0.102661\pi\) | |||||||
\(110\) | − | 12.1203i | − | 1.15563i | ||||||
\(111\) | −4.40734 | + | 0.624799i | −0.418327 | + | 0.0593033i | ||||
\(112\) | 2.60776 | − | 0.446759i | 0.246410 | − | 0.0422148i | ||||
\(113\) | −12.1559 | + | 7.01820i | −1.14353 | + | 0.660217i | −0.947302 | − | 0.320342i | \(-0.896202\pi\) |
−0.196227 | + | 0.980559i | \(0.562869\pi\) | |||||||
\(114\) | 1.24900 | + | 8.81045i | 0.116979 | + | 0.825174i | ||||
\(115\) | −7.45819 | −0.695480 | ||||||||
\(116\) | −3.74921 | + | 2.16461i | −0.348105 | + | 0.200979i | ||||
\(117\) | −7.78839 | + | 7.50607i | −0.720037 | + | 0.693936i | ||||
\(118\) | − | 3.18073i | − | 0.292810i | ||||||
\(119\) | −5.65283 | − | 6.80368i | −0.518194 | − | 0.623692i | ||||
\(120\) | −3.21027 | − | 4.09883i | −0.293056 | − | 0.374170i | ||||
\(121\) | 5.25845 | 0.478041 | ||||||||
\(122\) | −5.77255 | + | 3.33278i | −0.522622 | + | 0.301736i | ||||
\(123\) | −7.76494 | − | 9.91416i | −0.700141 | − | 0.893930i | ||||
\(124\) | −5.91536 | −0.531215 | ||||||||
\(125\) | 2.89947i | 0.259336i | ||||||||
\(126\) | 6.56932 | + | 4.45466i | 0.585242 | + | 0.396852i | ||||
\(127\) | 8.26677 | − | 14.3185i | 0.733558 | − | 1.27056i | −0.221796 | − | 0.975093i | \(-0.571192\pi\) |
0.955353 | − | 0.295466i | \(-0.0954748\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −1.08763 | − | 7.67220i | −0.0957609 | − | 0.675499i | ||||
\(130\) | −10.8300 | − | 0.415068i | −0.949850 | − | 0.0364038i | ||||
\(131\) | −4.18649 | + | 7.25122i | −0.365776 | + | 0.633542i | −0.988900 | − | 0.148581i | \(-0.952530\pi\) |
0.623125 | + | 0.782122i | \(0.285863\pi\) | |||||||
\(132\) | 5.49826 | − | 4.30633i | 0.478562 | − | 0.374818i | ||||
\(133\) | 4.71103 | − | 12.7503i | 0.408498 | − | 1.10559i | ||||
\(134\) | 7.04993 | − | 4.07028i | 0.609021 | − | 0.351618i | ||||
\(135\) | 1.57678 | − | 15.5393i | 0.135708 | − | 1.33741i | ||||
\(136\) | −1.67166 | + | 2.89540i | −0.143344 | + | 0.248279i | ||||
\(137\) | 10.4435 | − | 18.0886i | 0.892244 | − | 1.54541i | 0.0550662 | − | 0.998483i | \(-0.482463\pi\) |
0.837178 | − | 0.546930i | \(-0.184204\pi\) | |||||||
\(138\) | −2.64989 | − | 3.38334i | −0.225573 | − | 0.288009i | ||||
\(139\) | −12.4500 | + | 7.18799i | −1.05599 | + | 0.609677i | −0.924321 | − | 0.381616i | \(-0.875368\pi\) |
−0.131671 | + | 0.991293i | \(0.542034\pi\) | |||||||
\(140\) | 1.34291 | + | 7.83865i | 0.113497 | + | 0.662487i | ||||
\(141\) | 7.11914 | + | 9.08961i | 0.599540 | + | 0.765483i | ||||
\(142\) | 0.436496 | − | 0.756034i | 0.0366300 | − | 0.0634450i | ||||
\(143\) | 0.556781 | − | 14.5276i | 0.0465604 | − | 1.21486i | ||||
\(144\) | 0.718787 | − | 2.91262i | 0.0598989 | − | 0.242718i | ||||
\(145\) | −6.50658 | − | 11.2697i | −0.540342 | − | 0.935901i | ||||
\(146\) | 6.78690 | − | 11.7553i | 0.561688 | − | 0.972872i | ||||
\(147\) | −5.60059 | − | 10.7533i | −0.461929 | − | 0.886917i | ||||
\(148\) | − | 2.57002i | − | 0.211255i | ||||||
\(149\) | 9.87797 | 0.809235 | 0.404618 | − | 0.914486i | \(-0.367405\pi\) | ||||
0.404618 | + | 0.914486i | \(0.367405\pi\) | |||||||
\(150\) | 5.50266 | − | 4.30978i | 0.449291 | − | 0.351892i | ||||
\(151\) | 4.74145 | − | 2.73748i | 0.385854 | − | 0.222773i | −0.294508 | − | 0.955649i | \(-0.595156\pi\) |
0.680362 | + | 0.732876i | \(0.261822\pi\) | |||||||
\(152\) | −5.13758 | −0.416712 | ||||||||
\(153\) | −9.63476 | + | 2.78773i | −0.778925 | + | 0.225375i | ||||
\(154\) | −10.5149 | + | 1.80141i | −0.847318 | + | 0.145162i | ||||
\(155\) | − | 17.7809i | − | 1.42820i | ||||||
\(156\) | −3.65958 | − | 5.06038i | −0.293001 | − | 0.405155i | ||||
\(157\) | −7.68837 | + | 4.43888i | −0.613598 | + | 0.354261i | −0.774372 | − | 0.632730i | \(-0.781934\pi\) |
0.160774 | + | 0.986991i | \(0.448601\pi\) | |||||||
\(158\) | −17.0095 | −1.35321 | ||||||||
\(159\) | −16.8377 | + | 2.38697i | −1.33532 | + | 0.189299i | ||||
\(160\) | 2.60318 | − | 1.50295i | 0.205800 | − | 0.118818i | ||||
\(161\) | 1.10849 | + | 6.47034i | 0.0873615 | + | 0.509934i | ||||
\(162\) | 7.60948 | − | 4.80581i | 0.597857 | − | 0.377580i | ||||
\(163\) | − | 5.48870i | − | 0.429908i | −0.976624 | − | 0.214954i | \(-0.931040\pi\) | ||
0.976624 | − | 0.214954i | \(-0.0689601\pi\) | |||||||
\(164\) | 6.29653 | − | 3.63530i | 0.491676 | − | 0.283869i | ||||
\(165\) | 12.9444 | + | 16.5272i | 1.00772 | + | 1.28664i | ||||
\(166\) | −10.9636 | + | 6.32986i | −0.850943 | + | 0.491292i | ||||
\(167\) | −3.01387 | − | 1.74006i | −0.233221 | − | 0.134650i | 0.378836 | − | 0.925464i | \(-0.376324\pi\) |
−0.612057 | + | 0.790814i | \(0.709658\pi\) | |||||||
\(168\) | −3.07879 | + | 3.39426i | −0.237534 | + | 0.261873i | ||||
\(169\) | −12.9619 | − | 0.995011i | −0.997067 | − | 0.0765393i | ||||
\(170\) | −8.70327 | − | 5.02484i | −0.667510 | − | 0.385387i | ||||
\(171\) | −11.1126 | − | 10.6800i | −0.849803 | − | 0.816718i | ||||
\(172\) | 4.47383 | 0.341127 | ||||||||
\(173\) | 11.7558 | 0.893776 | 0.446888 | − | 0.894590i | \(-0.352532\pi\) | ||||
0.446888 | + | 0.894590i | \(0.352532\pi\) | |||||||
\(174\) | 2.80062 | − | 6.95578i | 0.212315 | − | 0.527316i | ||||
\(175\) | −10.5234 | + | 1.80285i | −0.795492 | + | 0.136283i | ||||
\(176\) | 2.01609 | + | 3.49197i | 0.151968 | + | 0.263217i | ||||
\(177\) | 3.39700 | + | 4.33723i | 0.255334 | + | 0.326006i | ||||
\(178\) | 3.15127 | + | 1.81939i | 0.236198 | + | 0.136369i | ||||
\(179\) | − | 10.6961i | − | 0.799464i | −0.916632 | − | 0.399732i | \(-0.869103\pi\) | ||
0.916632 | − | 0.399732i | \(-0.130897\pi\) | |||||||
\(180\) | 8.75503 | + | 2.16060i | 0.652561 | + | 0.161041i | ||||
\(181\) | 15.8900i | 1.18110i | 0.807002 | + | 0.590549i | \(0.201089\pi\) | ||||
−0.807002 | + | 0.590549i | \(0.798911\pi\) | |||||||
\(182\) | 1.24954 | + | 9.45720i | 0.0926221 | + | 0.701014i | ||||
\(183\) | 4.31204 | − | 10.7096i | 0.318755 | − | 0.791677i | ||||
\(184\) | 2.14877 | − | 1.24059i | 0.158410 | − | 0.0914578i | ||||
\(185\) | 7.72522 | 0.567969 | ||||||||
\(186\) | 8.06616 | − | 6.31756i | 0.591439 | − | 0.463226i | ||||
\(187\) | 6.74043 | − | 11.6748i | 0.492909 | − | 0.853743i | ||||
\(188\) | −5.77285 | + | 3.33296i | −0.421028 | + | 0.243081i | ||||
\(189\) | −13.7154 | + | 0.941634i | −0.997652 | + | 0.0684938i | ||||
\(190\) | − | 15.4430i | − | 1.12035i | ||||||
\(191\) | 17.2393i | 1.24739i | 0.781666 | + | 0.623697i | \(0.214370\pi\) | ||||
−0.781666 | + | 0.623697i | \(0.785630\pi\) | |||||||
\(192\) | 1.60671 | + | 0.646913i | 0.115954 | + | 0.0466869i | ||||
\(193\) | 12.5098i | 0.900475i | 0.892909 | + | 0.450237i | \(0.148661\pi\) | ||||
−0.892909 | + | 0.450237i | \(0.851339\pi\) | |||||||
\(194\) | −1.10676 | + | 1.91696i | −0.0794606 | + | 0.137630i | ||||
\(195\) | 15.2110 | − | 11.0003i | 1.08928 | − | 0.787749i | ||||
\(196\) | 6.60081 | − | 2.33008i | 0.471487 | − | 0.166434i | ||||
\(197\) | −5.30659 | + | 9.19128i | −0.378079 | + | 0.654852i | −0.990783 | − | 0.135461i | \(-0.956748\pi\) |
0.612704 | + | 0.790313i | \(0.290082\pi\) | |||||||
\(198\) | −2.89828 | + | 11.7442i | −0.205971 | + | 0.834623i | ||||
\(199\) | 6.56812 | + | 3.79210i | 0.465601 | + | 0.268815i | 0.714397 | − | 0.699741i | \(-0.246701\pi\) |
−0.248795 | + | 0.968556i | \(0.580035\pi\) | |||||||
\(200\) | 2.01770 | + | 3.49476i | 0.142673 | + | 0.247117i | ||||
\(201\) | −5.26623 | + | 13.0795i | −0.371451 | + | 0.922555i | ||||
\(202\) | 6.53158 | + | 11.3130i | 0.459560 | + | 0.795982i | ||||
\(203\) | −8.80998 | + | 7.31977i | −0.618339 | + | 0.513747i | ||||
\(204\) | −0.812795 | − | 5.73348i | −0.0569071 | − | 0.401424i | ||||
\(205\) | 10.9273 | + | 18.9267i | 0.763198 | + | 1.32190i | ||||
\(206\) | − | 17.1574i | − | 1.19541i | ||||||
\(207\) | 7.22675 | + | 1.78345i | 0.502294 | + | 0.123958i | ||||
\(208\) | 3.18925 | − | 1.68187i | 0.221135 | − | 0.116617i | ||||
\(209\) | 20.7156 | 1.43293 | ||||||||
\(210\) | −10.2028 | − | 9.25453i | −0.704060 | − | 0.638623i | ||||
\(211\) | 5.81722 | − | 10.0757i | 0.400474 | − | 0.693641i | −0.593309 | − | 0.804975i | \(-0.702179\pi\) |
0.993783 | + | 0.111334i | \(0.0355123\pi\) | |||||||
\(212\) | − | 9.81847i | − | 0.674335i | ||||||
\(213\) | 0.212233 | + | 1.49710i | 0.0145420 | + | 0.102580i | ||||
\(214\) | 1.75243 | + | 1.01176i | 0.119793 | + | 0.0691627i | ||||
\(215\) | 13.4479i | 0.917137i | ||||||||
\(216\) | 2.13052 | + | 4.73929i | 0.144963 | + | 0.322468i | ||||
\(217\) | −15.4258 | + | 2.64274i | −1.04717 | + | 0.179401i | ||||
\(218\) | −11.9872 | − | 6.92083i | −0.811877 | − | 0.468738i | ||||
\(219\) | 3.29993 | + | 23.2778i | 0.222989 | + | 1.57297i | ||||
\(220\) | −10.4965 | + | 6.06015i | −0.707673 | + | 0.408575i | ||||
\(221\) | −10.2010 | − | 6.42265i | −0.686195 | − | 0.432034i | ||||
\(222\) | 2.74476 | + | 3.50447i | 0.184216 | + | 0.235205i | ||||
\(223\) | 0.696107 | − | 1.20569i | 0.0466148 | − | 0.0807391i | −0.841777 | − | 0.539826i | \(-0.818490\pi\) |
0.888391 | + | 0.459087i | \(0.151823\pi\) | |||||||
\(224\) | −1.69078 | − | 2.03501i | −0.112970 | − | 0.135970i | ||||
\(225\) | −2.90060 | + | 11.7536i | −0.193373 | + | 0.783573i | ||||
\(226\) | 12.1559 | + | 7.01820i | 0.808597 | + | 0.466844i | ||||
\(227\) | 6.27057 | + | 3.62031i | 0.416192 | + | 0.240289i | 0.693447 | − | 0.720508i | \(-0.256091\pi\) |
−0.277255 | + | 0.960796i | \(0.589425\pi\) | |||||||
\(228\) | 7.00558 | − | 5.48689i | 0.463956 | − | 0.363378i | ||||
\(229\) | −12.0113 | + | 20.8043i | −0.793732 | + | 1.37478i | 0.129909 | + | 0.991526i | \(0.458531\pi\) |
−0.923641 | + | 0.383258i | \(0.874802\pi\) | |||||||
\(230\) | 3.72910 | + | 6.45898i | 0.245889 | + | 0.425893i | ||||
\(231\) | 12.4142 | − | 13.6863i | 0.816797 | − | 0.900491i | ||||
\(232\) | 3.74921 | + | 2.16461i | 0.246148 | + | 0.142113i | ||||
\(233\) | −3.29311 | − | 1.90128i | −0.215739 | − | 0.124557i | 0.388237 | − | 0.921560i | \(-0.373084\pi\) |
−0.603976 | + | 0.797003i | \(0.706418\pi\) | |||||||
\(234\) | 10.3946 | + | 2.99191i | 0.679519 | + | 0.195587i | ||||
\(235\) | −10.0185 | − | 17.3526i | −0.653536 | − | 1.13196i | ||||
\(236\) | −2.75459 | + | 1.59037i | −0.179309 | + | 0.103524i | ||||
\(237\) | 23.1941 | − | 18.1661i | 1.50662 | − | 1.18001i | ||||
\(238\) | −3.06574 | + | 8.29734i | −0.198722 | + | 0.537836i | ||||
\(239\) | 8.77151 | 0.567382 | 0.283691 | − | 0.958916i | \(-0.408441\pi\) | ||||
0.283691 | + | 0.958916i | \(0.408441\pi\) | |||||||
\(240\) | −1.94455 | + | 4.82959i | −0.125520 | + | 0.311749i | ||||
\(241\) | 2.83347 | − | 4.90771i | 0.182520 | − | 0.316133i | −0.760218 | − | 0.649668i | \(-0.774908\pi\) |
0.942738 | + | 0.333534i | \(0.108241\pi\) | |||||||
\(242\) | −2.62922 | − | 4.55395i | −0.169013 | − | 0.292739i | ||||
\(243\) | −5.24370 | + | 14.6800i | −0.336383 | + | 0.941725i | ||||
\(244\) | 5.77255 | + | 3.33278i | 0.369550 | + | 0.213360i | ||||
\(245\) | 7.00398 | + | 19.8414i | 0.447468 | + | 1.26762i | ||||
\(246\) | −4.70344 | + | 11.6817i | −0.299881 | + | 0.744799i | ||||
\(247\) | 0.709420 | − | 18.5102i | 0.0451393 | − | 1.17778i | ||||
\(248\) | 2.95768 | + | 5.12285i | 0.187813 | + | 0.325301i | ||||
\(249\) | 8.18973 | − | 20.3404i | 0.519003 | − | 1.28902i | ||||
\(250\) | 2.51101 | − | 1.44973i | 0.158810 | − | 0.0916892i | ||||
\(251\) | 4.10301 | + | 7.10662i | 0.258980 | + | 0.448566i | 0.965969 | − | 0.258658i | \(-0.0832804\pi\) |
−0.706989 | + | 0.707224i | \(0.749947\pi\) | |||||||
\(252\) | 0.573184 | − | 7.91653i | 0.0361072 | − | 0.498695i | ||||
\(253\) | −8.66423 | + | 5.00229i | −0.544715 | + | 0.314491i | ||||
\(254\) | −16.5335 | −1.03741 | ||||||||
\(255\) | 17.2342 | − | 2.44318i | 1.07925 | − | 0.152998i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 13.5312 | + | 23.4367i | 0.844052 | + | 1.46194i | 0.886442 | + | 0.462840i | \(0.153170\pi\) |
−0.0423895 | + | 0.999101i | \(0.513497\pi\) | |||||||
\(258\) | −6.10050 | + | 4.77802i | −0.379801 | + | 0.297466i | ||||
\(259\) | −1.14818 | − | 6.70200i | −0.0713445 | − | 0.416442i | ||||
\(260\) | 5.05552 | + | 9.58655i | 0.313530 | + | 0.594533i | ||||
\(261\) | 3.60979 | + | 12.4759i | 0.223441 | + | 0.772240i | ||||
\(262\) | 8.37298 | 0.517285 | ||||||||
\(263\) | 14.6216i | 0.901606i | 0.892623 | + | 0.450803i | \(0.148862\pi\) | ||||
−0.892623 | + | 0.450803i | \(0.851138\pi\) | |||||||
\(264\) | −6.47852 | − | 2.60847i | −0.398725 | − | 0.160540i | ||||
\(265\) | 29.5133 | 1.81299 | ||||||||
\(266\) | −13.3976 | + | 2.29526i | −0.821457 | + | 0.140731i | ||||
\(267\) | −6.24015 | + | 0.884623i | −0.381891 | + | 0.0541380i | ||||
\(268\) | −7.04993 | − | 4.07028i | −0.430643 | − | 0.248632i | ||||
\(269\) | −14.3506 | + | 24.8559i | −0.874970 | + | 1.51549i | −0.0181755 | + | 0.999835i | \(0.505786\pi\) |
−0.856795 | + | 0.515658i | \(0.827548\pi\) | |||||||
\(270\) | −14.2458 | + | 6.40411i | −0.866973 | + | 0.389742i | ||||
\(271\) | 3.61004 | + | 6.25277i | 0.219294 | + | 0.379828i | 0.954592 | − | 0.297915i | \(-0.0962913\pi\) |
−0.735298 | + | 0.677744i | \(0.762958\pi\) | |||||||
\(272\) | 3.34332 | 0.202719 | ||||||||
\(273\) | −11.8041 | − | 11.5613i | −0.714415 | − | 0.699722i | ||||
\(274\) | −20.8869 | −1.26182 | ||||||||
\(275\) | −8.13573 | − | 14.0915i | −0.490603 | − | 0.849750i | ||||
\(276\) | −1.60511 | + | 3.98654i | −0.0966164 | + | 0.239961i | ||||
\(277\) | −10.1021 | + | 17.4973i | −0.606976 | + | 1.05131i | 0.384760 | + | 0.923017i | \(0.374284\pi\) |
−0.991736 | + | 0.128297i | \(0.959049\pi\) | |||||||
\(278\) | 12.4500 | + | 7.18799i | 0.746699 | + | 0.431107i | ||||
\(279\) | −4.25188 | + | 17.2292i | −0.254554 | + | 1.03148i | ||||
\(280\) | 6.11701 | − | 5.08232i | 0.365562 | − | 0.303727i | ||||
\(281\) | −5.71978 | −0.341214 | −0.170607 | − | 0.985339i | \(-0.554573\pi\) | ||||
−0.170607 | + | 0.985339i | \(0.554573\pi\) | |||||||
\(282\) | 4.31226 | − | 10.7102i | 0.256792 | − | 0.637781i | ||||
\(283\) | 2.77337i | 0.164860i | 0.996597 | + | 0.0824298i | \(0.0262680\pi\) | ||||
−0.996597 | + | 0.0824298i | \(0.973732\pi\) | |||||||
\(284\) | −0.872993 | −0.0518026 | ||||||||
\(285\) | 16.4930 | + | 21.0580i | 0.976962 | + | 1.24737i | ||||
\(286\) | −12.8596 | + | 6.78159i | −0.760405 | + | 0.401004i | ||||
\(287\) | 14.7957 | − | 12.2930i | 0.873364 | − | 0.725634i | ||||
\(288\) | −2.88179 | + | 0.833822i | −0.169811 | + | 0.0491334i | ||||
\(289\) | 2.91110 | + | 5.04218i | 0.171241 | + | 0.296599i | ||||
\(290\) | −6.50658 | + | 11.2697i | −0.382080 | + | 0.661782i | ||||
\(291\) | −0.538129 | − | 3.79597i | −0.0315457 | − | 0.222524i | ||||
\(292\) | −13.5738 | −0.794347 | ||||||||
\(293\) | −11.4769 | + | 6.62619i | −0.670488 | + | 0.387106i | −0.796261 | − | 0.604953i | \(-0.793192\pi\) |
0.125774 | + | 0.992059i | \(0.459859\pi\) | |||||||
\(294\) | −6.51233 | + | 10.2269i | −0.379807 | + | 0.596445i | ||||
\(295\) | −4.78047 | − | 8.28002i | −0.278330 | − | 0.482082i | ||||
\(296\) | −2.22571 | + | 1.28501i | −0.129366 | + | 0.0746898i | ||||
\(297\) | −8.59062 | − | 19.1097i | −0.498479 | − | 1.10886i | ||||
\(298\) | −4.93899 | − | 8.55458i | −0.286108 | − | 0.495553i | ||||
\(299\) | 4.17303 | + | 7.91313i | 0.241333 | + | 0.457628i | ||||
\(300\) | −6.48371 | − | 2.61056i | −0.374337 | − | 0.150720i | ||||
\(301\) | 11.6667 | − | 1.99873i | 0.672456 | − | 0.115205i | ||||
\(302\) | −4.74145 | − | 2.73748i | −0.272840 | − | 0.157524i | ||||
\(303\) | −20.9887 | − | 8.45073i | −1.20577 | − | 0.485482i | ||||
\(304\) | 2.56879 | + | 4.44927i | 0.147330 | + | 0.255183i | ||||
\(305\) | −10.0180 | + | 17.3517i | −0.573629 | + | 0.993554i | ||||
\(306\) | 7.23163 | + | 6.95008i | 0.413405 | + | 0.397310i | ||||
\(307\) | 20.2861 | 1.15779 | 0.578894 | − | 0.815403i | \(-0.303484\pi\) | ||||
0.578894 | + | 0.815403i | \(0.303484\pi\) | |||||||
\(308\) | 6.81754 | + | 8.20550i | 0.388465 | + | 0.467552i | ||||
\(309\) | 18.3239 | + | 23.3957i | 1.04241 | + | 1.33094i | ||||
\(310\) | −15.3988 | + | 8.89047i | −0.874590 | + | 0.504945i | ||||
\(311\) | 8.05505 | + | 13.9518i | 0.456760 | + | 0.791131i | 0.998788 | − | 0.0492293i | \(-0.0156765\pi\) |
−0.542028 | + | 0.840361i | \(0.682343\pi\) | |||||||
\(312\) | −2.55263 | + | 5.69948i | −0.144514 | + | 0.322670i | ||||
\(313\) | −23.6806 | − | 13.6720i | −1.33851 | − | 0.772789i | −0.351923 | − | 0.936029i | \(-0.614472\pi\) |
−0.986586 | + | 0.163240i | \(0.947805\pi\) | |||||||
\(314\) | 7.68837 | + | 4.43888i | 0.433880 | + | 0.250501i | ||||
\(315\) | 23.7963 | + | 1.72293i | 1.34077 | + | 0.0970761i | ||||
\(316\) | 8.50477 | + | 14.7307i | 0.478431 | + | 0.828667i | ||||
\(317\) | 13.0955 | − | 22.6820i | 0.735514 | − | 1.27395i | −0.218983 | − | 0.975729i | \(-0.570274\pi\) |
0.954497 | − | 0.298219i | \(-0.0963926\pi\) | |||||||
\(318\) | 10.4860 | + | 13.3884i | 0.588028 | + | 0.750786i | ||||
\(319\) | −15.1175 | − | 8.72808i | −0.846416 | − | 0.488679i | ||||
\(320\) | −2.60318 | − | 1.50295i | −0.145522 | − | 0.0840173i | ||||
\(321\) | −3.47016 | + | 0.491940i | −0.193685 | + | 0.0274574i | ||||
\(322\) | 5.04923 | − | 4.19515i | 0.281383 | − | 0.233787i | ||||
\(323\) | 8.58828 | − | 14.8753i | 0.477865 | − | 0.827686i | ||||
\(324\) | −7.96669 | − | 4.18710i | −0.442594 | − | 0.232617i | ||||
\(325\) | −12.8699 | + | 6.78702i | −0.713895 | + | 0.376476i | ||||
\(326\) | −4.75335 | + | 2.74435i | −0.263264 | + | 0.151995i | ||||
\(327\) | 23.7371 | − | 3.36505i | 1.31267 | − | 0.186088i | ||||
\(328\) | −6.29653 | − | 3.63530i | −0.347668 | − | 0.200726i | ||||
\(329\) | −13.5652 | + | 11.2706i | −0.747872 | + | 0.621369i | ||||
\(330\) | 7.84078 | − | 19.4738i | 0.431620 | − | 1.07200i | ||||
\(331\) | 13.5606i | 0.745356i | 0.927961 | + | 0.372678i | \(0.121560\pi\) | ||||
−0.927961 | + | 0.372678i | \(0.878440\pi\) | |||||||
\(332\) | 10.9636 | + | 6.32986i | 0.601708 | + | 0.347396i | ||||
\(333\) | −7.48550 | − | 1.84730i | −0.410203 | − | 0.101231i | ||||
\(334\) | 3.48012i | 0.190424i | ||||||||
\(335\) | 12.2348 | − | 21.1913i | 0.668460 | − | 1.15781i | ||||
\(336\) | 4.47892 | + | 0.969182i | 0.244345 | + | 0.0528732i | ||||
\(337\) | 9.84727 | 0.536415 | 0.268208 | − | 0.963361i | \(-0.413569\pi\) | ||||
0.268208 | + | 0.963361i | \(0.413569\pi\) | |||||||
\(338\) | 5.61923 | + | 11.7228i | 0.305646 | + | 0.637637i | ||||
\(339\) | −24.0711 | + | 3.41239i | −1.30736 | + | 0.185336i | ||||
\(340\) | 10.0497i | 0.545020i | ||||||||
\(341\) | −11.9259 | − | 20.6562i | −0.645823 | − | 1.11860i | ||||
\(342\) | −3.69282 | + | 14.9638i | −0.199685 | + | 0.809150i | ||||
\(343\) | 16.1723 | − | 9.02526i | 0.873224 | − | 0.487318i | ||||
\(344\) | −2.23692 | − | 3.87445i | −0.120606 | − | 0.208897i | ||||
\(345\) | −11.9831 | − | 4.82480i | −0.645149 | − | 0.259758i | ||||
\(346\) | −5.87790 | − | 10.1808i | −0.315998 | − | 0.547324i | ||||
\(347\) | −23.5901 | − | 13.6197i | −1.26638 | − | 0.731146i | −0.292081 | − | 0.956394i | \(-0.594348\pi\) |
−0.974302 | + | 0.225247i | \(0.927681\pi\) | |||||||
\(348\) | −7.42419 | + | 1.05248i | −0.397978 | + | 0.0564187i | ||||
\(349\) | 6.39541 | − | 11.0772i | 0.342339 | − | 0.592948i | −0.642528 | − | 0.766262i | \(-0.722114\pi\) |
0.984867 | + | 0.173314i | \(0.0554477\pi\) | |||||||
\(350\) | 6.82300 | + | 8.21208i | 0.364705 | + | 0.438954i | ||||
\(351\) | −17.3694 | + | 7.02163i | −0.927111 | + | 0.374787i | ||||
\(352\) | 2.01609 | − | 3.49197i | 0.107458 | − | 0.186122i | ||||
\(353\) | 7.75686i | 0.412856i | 0.978462 | + | 0.206428i | \(0.0661839\pi\) | ||||
−0.978462 | + | 0.206428i | \(0.933816\pi\) | |||||||
\(354\) | 2.05766 | − | 5.11050i | 0.109363 | − | 0.271620i | ||||
\(355\) | − | 2.62412i | − | 0.139274i | ||||||
\(356\) | − | 3.63877i | − | 0.192855i | ||||||
\(357\) | −4.68106 | − | 14.5884i | −0.247748 | − | 0.772100i | ||||
\(358\) | −9.26309 | + | 5.34805i | −0.489570 | + | 0.282653i | ||||
\(359\) | 0.650209 | − | 1.12619i | 0.0343167 | − | 0.0594383i | −0.848357 | − | 0.529425i | \(-0.822408\pi\) |
0.882674 | + | 0.469986i | \(0.155741\pi\) | |||||||
\(360\) | −2.50638 | − | 8.66237i | −0.132098 | − | 0.456547i | ||||
\(361\) | 7.39469 | 0.389194 | ||||||||
\(362\) | 13.7612 | − | 7.94502i | 0.723272 | − | 0.417581i | ||||
\(363\) | 8.44878 | + | 3.40176i | 0.443446 | + | 0.178546i | ||||
\(364\) | 7.56541 | − | 5.81073i | 0.396535 | − | 0.304565i | ||||
\(365\) | − | 40.8014i | − | 2.13564i | ||||||
\(366\) | −11.4308 | + | 1.62047i | −0.597498 | + | 0.0847032i | ||||
\(367\) | − | 21.0909i | − | 1.10093i | −0.834857 | − | 0.550467i | \(-0.814450\pi\) | ||
0.834857 | − | 0.550467i | \(-0.185550\pi\) | |||||||
\(368\) | −2.14877 | − | 1.24059i | −0.112012 | − | 0.0646704i | ||||
\(369\) | −6.06238 | − | 20.9524i | −0.315595 | − | 1.09074i | ||||
\(370\) | −3.86261 | − | 6.69024i | −0.200808 | − | 0.347809i | ||||
\(371\) | −4.38649 | − | 25.6042i | −0.227735 | − | 1.32930i | ||||
\(372\) | −9.50424 | − | 3.82672i | −0.492772 | − | 0.198406i | ||||
\(373\) | 22.0250 | 1.14041 | 0.570206 | − | 0.821502i | \(-0.306863\pi\) | ||||
0.570206 | + | 0.821502i | \(0.306863\pi\) | |||||||
\(374\) | −13.4809 | −0.697079 | ||||||||
\(375\) | −1.87570 | + | 4.65859i | −0.0968608 | + | 0.240569i | ||||
\(376\) | 5.77285 | + | 3.33296i | 0.297712 | + | 0.171884i | ||||
\(377\) | −8.31659 | + | 13.2092i | −0.428326 | + | 0.680306i | ||||
\(378\) | 7.67320 | + | 11.4071i | 0.394667 | + | 0.586718i | ||||
\(379\) | 6.24288 | + | 3.60433i | 0.320675 | + | 0.185142i | 0.651694 | − | 0.758482i | \(-0.274059\pi\) |
−0.331018 | + | 0.943624i | \(0.607392\pi\) | |||||||
\(380\) | −13.3740 | + | 7.72151i | −0.686074 | + | 0.396105i | ||||
\(381\) | 22.5451 | − | 17.6577i | 1.15502 | − | 0.904631i | ||||
\(382\) | 14.9297 | − | 8.61966i | 0.763869 | − | 0.441020i | ||||
\(383\) | 32.6983i | 1.67080i | 0.549639 | + | 0.835402i | \(0.314765\pi\) | ||||
−0.549639 | + | 0.835402i | \(0.685235\pi\) | |||||||
\(384\) | −0.243110 | − | 1.71490i | −0.0124062 | − | 0.0875134i | ||||
\(385\) | −24.6649 | + | 20.4928i | −1.25704 | + | 1.04441i | ||||
\(386\) | 10.8338 | − | 6.25490i | 0.551426 | − | 0.318366i | ||||
\(387\) | 3.21573 | − | 13.0306i | 0.163465 | − | 0.662381i | ||||
\(388\) | 2.21352 | 0.112374 | ||||||||
\(389\) | 24.6307 | − | 14.2206i | 1.24883 | − | 0.721012i | 0.277953 | − | 0.960595i | \(-0.410344\pi\) |
0.970876 | + | 0.239583i | \(0.0770108\pi\) | |||||||
\(390\) | −17.1320 | − | 7.67293i | −0.867515 | − | 0.388534i | ||||
\(391\) | 8.29541i | 0.419517i | ||||||||
\(392\) | −5.31832 | − | 4.55143i | −0.268615 | − | 0.229882i | ||||
\(393\) | −11.4174 | + | 8.94228i | −0.575930 | + | 0.451078i | ||||
\(394\) | 10.6132 | 0.534684 | ||||||||
\(395\) | −44.2789 | + | 25.5645i | −2.22792 | + | 1.28629i | ||||
\(396\) | 11.6199 | − | 3.36212i | 0.583922 | − | 0.168953i | ||||
\(397\) | 20.0824 | 1.00790 | 0.503952 | − | 0.863732i | \(-0.331879\pi\) | ||||
0.503952 | + | 0.863732i | \(0.331879\pi\) | |||||||
\(398\) | − | 7.58421i | − | 0.380162i | ||||||
\(399\) | 15.8175 | − | 17.4383i | 0.791867 | − | 0.873006i | ||||
\(400\) | 2.01770 | − | 3.49476i | 0.100885 | − | 0.174738i | ||||
\(401\) | 2.66078 | + | 4.60861i | 0.132873 | + | 0.230143i | 0.924783 | − | 0.380495i | \(-0.124246\pi\) |
−0.791910 | + | 0.610638i | \(0.790913\pi\) | |||||||
\(402\) | 13.9603 | − | 1.97905i | 0.696275 | − | 0.0987061i | ||||
\(403\) | −18.8656 | + | 9.94885i | −0.939761 | + | 0.495588i | ||||
\(404\) | 6.53158 | − | 11.3130i | 0.324958 | − | 0.562844i | ||||
\(405\) | 12.5860 | − | 23.9470i | 0.625403 | − | 1.18994i | ||||
\(406\) | 10.7441 | + | 3.96978i | 0.533221 | + | 0.197017i | ||||
\(407\) | 8.97444 | − | 5.18139i | 0.444846 | − | 0.256832i | ||||
\(408\) | −4.55894 | + | 3.57064i | −0.225701 | + | 0.176773i | ||||
\(409\) | 8.75037 | − | 15.1561i | 0.432678 | − | 0.749420i | −0.564425 | − | 0.825484i | \(-0.690902\pi\) |
0.997103 | + | 0.0760640i | \(0.0242353\pi\) | |||||||
\(410\) | 10.9273 | − | 18.9267i | 0.539663 | − | 0.934723i | ||||
\(411\) | 28.4813 | − | 22.3070i | 1.40488 | − | 1.10033i | ||||
\(412\) | −14.8587 | + | 8.57869i | −0.732037 | + | 0.422642i | ||||
\(413\) | −6.47281 | + | 5.37793i | −0.318506 | + | 0.264631i | ||||
\(414\) | −2.06887 | − | 7.15027i | −0.101679 | − | 0.351417i | ||||
\(415\) | −19.0269 | + | 32.9555i | −0.933993 | + | 1.61772i | ||||
\(416\) | −3.05117 | − | 1.92104i | −0.149596 | − | 0.0941866i | ||||
\(417\) | −24.6534 | + | 3.49495i | −1.20728 | + | 0.171148i | ||||
\(418\) | −10.3578 | − | 17.9402i | −0.506617 | − | 0.877486i | ||||
\(419\) | −11.9702 | + | 20.7329i | −0.584780 | + | 1.01287i | 0.410122 | + | 0.912030i | \(0.365486\pi\) |
−0.994903 | + | 0.100839i | \(0.967847\pi\) | |||||||
\(420\) | −2.91326 | + | 13.4632i | −0.142152 | + | 0.656935i | ||||
\(421\) | 18.4384i | 0.898634i | 0.893372 | + | 0.449317i | \(0.148333\pi\) | ||||
−0.893372 | + | 0.449317i | \(0.851667\pi\) | |||||||
\(422\) | −11.6344 | −0.566355 | ||||||||
\(423\) | 5.55818 | + | 19.2098i | 0.270248 | + | 0.934012i | ||||
\(424\) | −8.50304 | + | 4.90923i | −0.412944 | + | 0.238414i | ||||
\(425\) | −13.4917 | −0.654442 | ||||||||
\(426\) | 1.19041 | − | 0.932349i | 0.0576755 | − | 0.0451725i | ||||
\(427\) | 16.5424 | + | 6.11216i | 0.800541 | + | 0.295788i | ||||
\(428\) | − | 2.02353i | − | 0.0978109i | ||||||
\(429\) | 10.2926 | − | 22.9813i | 0.496933 | − | 1.10955i | ||||
\(430\) | 11.6462 | − | 6.72394i | 0.561630 | − | 0.324257i | ||||
\(431\) | −14.7783 | −0.711844 | −0.355922 | − | 0.934516i | \(-0.615833\pi\) | ||||
−0.355922 | + | 0.934516i | \(0.615833\pi\) | |||||||
\(432\) | 3.03909 | − | 4.21473i | 0.146218 | − | 0.202781i | ||||
\(433\) | −24.1602 | + | 13.9489i | −1.16107 | + | 0.670342i | −0.951559 | − | 0.307465i | \(-0.900519\pi\) |
−0.209507 | + | 0.977807i | \(0.567186\pi\) | |||||||
\(434\) | 10.0016 | + | 12.0378i | 0.480092 | + | 0.577832i | ||||
\(435\) | −3.16363 | − | 22.3163i | −0.151685 | − | 1.06999i | ||||
\(436\) | 13.8417i | 0.662895i | ||||||||
\(437\) | −11.0395 | + | 6.37365i | −0.528090 | + | 0.304893i | ||||
\(438\) | 18.5092 | − | 14.4967i | 0.884403 | − | 0.692680i | ||||
\(439\) | −5.37390 | + | 3.10262i | −0.256482 | + | 0.148080i | −0.622729 | − | 0.782438i | \(-0.713976\pi\) |
0.366246 | + | 0.930518i | \(0.380643\pi\) | |||||||
\(440\) | 10.4965 | + | 6.06015i | 0.500400 | + | 0.288906i | ||||
\(441\) | −2.04206 | − | 20.9005i | −0.0972409 | − | 0.995261i | ||||
\(442\) | −0.461661 | + | 12.0457i | −0.0219590 | + | 0.572954i | ||||
\(443\) | 5.47785 | + | 3.16264i | 0.260261 | + | 0.150261i | 0.624453 | − | 0.781062i | \(-0.285322\pi\) |
−0.364193 | + | 0.931324i | \(0.618655\pi\) | |||||||
\(444\) | 1.66258 | − | 4.12927i | 0.0789026 | − | 0.195967i | ||||
\(445\) | 10.9378 | 0.518500 | ||||||||
\(446\) | −1.39221 | −0.0659232 | ||||||||
\(447\) | 15.8710 | + | 6.39019i | 0.750672 | + | 0.302245i | ||||
\(448\) | −0.916975 | + | 2.48177i | −0.0433230 | + | 0.117252i | ||||
\(449\) | 17.8544 | + | 30.9247i | 0.842600 | + | 1.45943i | 0.887689 | + | 0.460444i | \(0.152310\pi\) |
−0.0450883 | + | 0.998983i | \(0.514357\pi\) | |||||||
\(450\) | 11.6292 | − | 3.36481i | 0.548206 | − | 0.158619i | ||||
\(451\) | 25.3887 | + | 14.6582i | 1.19551 | + | 0.690227i | ||||
\(452\) | − | 14.0364i | − | 0.660217i | ||||||
\(453\) | 9.38903 | − | 1.33102i | 0.441135 | − | 0.0625367i | ||||
\(454\) | − | 7.24063i | − | 0.339819i | ||||||
\(455\) | 17.4665 | + | 22.7408i | 0.818840 | + | 1.06611i | ||||
\(456\) | −8.25457 | − | 3.32356i | −0.386556 | − | 0.155640i | ||||
\(457\) | −1.99963 | + | 1.15448i | −0.0935385 | + | 0.0540045i | −0.546040 | − | 0.837759i | \(-0.683865\pi\) |
0.452501 | + | 0.891764i | \(0.350532\pi\) | |||||||
\(458\) | 24.0227 | 1.12251 | ||||||||
\(459\) | −17.2837 | − | 1.75378i | −0.806732 | − | 0.0818596i | ||||
\(460\) | 3.72910 | − | 6.45898i | 0.173870 | − | 0.301152i | ||||
\(461\) | −30.3853 | + | 17.5430i | −1.41519 | + | 0.817058i | −0.995871 | − | 0.0907832i | \(-0.971063\pi\) |
−0.419315 | + | 0.907841i | \(0.637730\pi\) | |||||||
\(462\) | −18.0598 | − | 3.90791i | −0.840217 | − | 0.181812i | ||||
\(463\) | − | 34.0752i | − | 1.58361i | −0.610776 | − | 0.791804i | \(-0.709142\pi\) | ||
0.610776 | − | 0.791804i | \(-0.290858\pi\) | |||||||
\(464\) | − | 4.32922i | − | 0.200979i | ||||||
\(465\) | 11.5027 | − | 28.5688i | 0.533426 | − | 1.32484i | ||||
\(466\) | 3.80256i | 0.176150i | ||||||||
\(467\) | 17.7900 | − | 30.8133i | 0.823225 | − | 1.42587i | −0.0800430 | − | 0.996791i | \(-0.525506\pi\) |
0.903268 | − | 0.429076i | \(-0.141161\pi\) | |||||||
\(468\) | −2.60625 | − | 10.4980i | −0.120474 | − | 0.485269i | ||||
\(469\) | −20.2029 | − | 7.46468i | −0.932885 | − | 0.344687i | ||||
\(470\) | −10.0185 | + | 17.3526i | −0.462120 | + | 0.800415i | ||||
\(471\) | −15.2245 | + | 2.15827i | −0.701509 | + | 0.0994480i | ||||
\(472\) | 2.75459 | + | 1.59037i | 0.126790 | + | 0.0732025i | ||||
\(473\) | 9.01964 | + | 15.6225i | 0.414724 | + | 0.718322i | ||||
\(474\) | −27.3293 | − | 11.0037i | −1.25528 | − | 0.505416i | ||||
\(475\) | −10.3661 | − | 17.9546i | −0.475629 | − | 0.823814i | ||||
\(476\) | 8.71857 | − | 1.49366i | 0.399615 | − | 0.0684618i | ||||
\(477\) | −28.5975 | − | 7.05739i | −1.30939 | − | 0.323136i | ||||
\(478\) | −4.38575 | − | 7.59635i | −0.200600 | − | 0.347449i | ||||
\(479\) | 7.43704i | 0.339807i | 0.985461 | + | 0.169904i | \(0.0543456\pi\) | ||||
−0.985461 | + | 0.169904i | \(0.945654\pi\) | |||||||
\(480\) | 5.15482 | − | 0.730764i | 0.235284 | − | 0.0333547i | ||||
\(481\) | −4.32244 | − | 8.19645i | −0.197086 | − | 0.373726i | ||||
\(482\) | −5.66694 | −0.258122 | ||||||||
\(483\) | −2.40472 | + | 11.1130i | −0.109419 | + | 0.505660i | ||||
\(484\) | −2.62922 | + | 4.55395i | −0.119510 | + | 0.206998i | ||||
\(485\) | 6.65360i | 0.302124i | ||||||||
\(486\) | 15.3351 | − | 2.79884i | 0.695616 | − | 0.126958i | ||||
\(487\) | 15.5627 | + | 8.98512i | 0.705212 | + | 0.407154i | 0.809286 | − | 0.587415i | \(-0.199854\pi\) |
−0.104074 | + | 0.994570i | \(0.533188\pi\) | |||||||
\(488\) | − | 6.66557i | − | 0.301736i | ||||||
\(489\) | 3.55071 | − | 8.81872i | 0.160569 | − | 0.398796i | ||||
\(490\) | 13.6811 | − | 15.9863i | 0.618050 | − | 0.722187i | ||||
\(491\) | −2.56980 | − | 1.48368i | −0.115974 | − | 0.0669573i | 0.440891 | − | 0.897561i | \(-0.354662\pi\) |
−0.556865 | + | 0.830603i | \(0.687996\pi\) | |||||||
\(492\) | 12.4684 | − | 1.76756i | 0.562118 | − | 0.0796876i | ||||
\(493\) | −12.5348 | + | 7.23698i | −0.564540 | + | 0.325937i | ||||
\(494\) | −16.3850 | + | 8.64073i | −0.737197 | + | 0.388765i | ||||
\(495\) | 10.1062 | + | 34.9282i | 0.454238 | + | 1.56991i | ||||
\(496\) | 2.95768 | − | 5.12285i | 0.132804 | − | 0.230023i | ||||
\(497\) | −2.27655 | + | 0.390018i | −0.102117 | + | 0.0174947i | ||||
\(498\) | −21.7102 | + | 3.07771i | −0.972857 | + | 0.137915i | ||||
\(499\) | −14.4827 | − | 8.36158i | −0.648334 | − | 0.374316i | 0.139484 | − | 0.990224i | \(-0.455456\pi\) |
−0.787818 | + | 0.615909i | \(0.788789\pi\) | |||||||
\(500\) | −2.51101 | − | 1.44973i | −0.112296 | − | 0.0648341i | ||||
\(501\) | −3.71674 | − | 4.74548i | −0.166052 | − | 0.212012i | ||||
\(502\) | 4.10301 | − | 7.10662i | 0.183126 | − | 0.317184i | ||||
\(503\) | −13.2712 | − | 22.9863i | −0.591732 | − | 1.02491i | −0.993999 | − | 0.109387i | \(-0.965111\pi\) |
0.402268 | − | 0.915522i | \(-0.368222\pi\) | |||||||
\(504\) | −7.14251 | + | 3.46187i | −0.318153 | + | 0.154204i | ||||
\(505\) | 34.0058 | + | 19.6333i | 1.51324 | + | 0.873668i | ||||
\(506\) | 8.66423 | + | 5.00229i | 0.385172 | + | 0.222379i | ||||
\(507\) | −20.1822 | − | 9.98389i | −0.896324 | − | 0.443400i | ||||
\(508\) | 8.26677 | + | 14.3185i | 0.366779 | + | 0.635279i | ||||
\(509\) | 4.27365 | − | 2.46739i | 0.189426 | − | 0.109365i | −0.402288 | − | 0.915513i | \(-0.631785\pi\) |
0.591714 | + | 0.806148i | \(0.298451\pi\) | |||||||
\(510\) | −10.7330 | − | 13.7037i | −0.475264 | − | 0.606810i | ||||
\(511\) | −35.3972 | + | 6.06422i | −1.56588 | + | 0.268265i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −10.9457 | − | 24.3485i | −0.483264 | − | 1.07501i | ||||
\(514\) | 13.5312 | − | 23.4367i | 0.596835 | − | 1.03375i | ||||
\(515\) | −25.7866 | − | 44.6638i | −1.13630 | − | 1.96812i | ||||
\(516\) | 7.18813 | + | 2.89418i | 0.316440 | + | 0.127409i | ||||
\(517\) | −23.2772 | − | 13.4391i | −1.02373 | − | 0.591050i | ||||
\(518\) | −5.23001 | + | 4.34535i | −0.229794 | + | 0.190924i | ||||
\(519\) | 18.8881 | + | 7.60497i | 0.829096 | + | 0.333821i | ||||
\(520\) | 5.77444 | − | 9.17149i | 0.253226 | − | 0.402196i | ||||
\(521\) | 3.36581 | + | 5.82976i | 0.147459 | + | 0.255407i | 0.930288 | − | 0.366831i | \(-0.119557\pi\) |
−0.782829 | + | 0.622237i | \(0.786224\pi\) | |||||||
\(522\) | 8.99956 | − | 9.36413i | 0.393900 | − | 0.409857i | ||||
\(523\) | −33.9790 | + | 19.6178i | −1.48580 | + | 0.857825i | −0.999869 | − | 0.0161746i | \(-0.994851\pi\) |
−0.485927 | + | 0.873999i | \(0.661518\pi\) | |||||||
\(524\) | −4.18649 | − | 7.25122i | −0.182888 | − | 0.316771i | ||||
\(525\) | −18.0742 | − | 3.91104i | −0.788825 | − | 0.170692i | ||||
\(526\) | 12.6627 | − | 7.31080i | 0.552119 | − | 0.318766i | ||||
\(527\) | −19.7769 | −0.861497 | ||||||||
\(528\) | 0.980263 | + | 6.91480i | 0.0426605 | + | 0.300928i | ||||
\(529\) | −8.42185 | + | 14.5871i | −0.366168 | + | 0.634221i | ||||
\(530\) | −14.7566 | − | 25.5593i | −0.640988 | − | 1.11022i | ||||
\(531\) | 2.65216 | + | 9.16622i | 0.115094 | + | 0.397780i | ||||
\(532\) | 8.68653 | + | 10.4550i | 0.376609 | + | 0.453282i | ||||
\(533\) | 13.9671 | − | 22.1838i | 0.604982 | − | 0.960888i | ||||
\(534\) | 3.88618 | + | 4.96182i | 0.168171 | + | 0.214719i | ||||
\(535\) | 6.08251 | 0.262970 | ||||||||
\(536\) | 8.14055i | 0.351618i | ||||||||
\(537\) | 6.91944 | − | 17.1855i | 0.298596 | − | 0.741608i | ||||
\(538\) | 28.7012 | 1.23739 | ||||||||
\(539\) | 21.4444 | + | 18.3522i | 0.923675 | + | 0.790484i | ||||
\(540\) | 12.6690 | + | 9.13518i | 0.545188 | + | 0.393116i | ||||
\(541\) | −23.6391 | − | 13.6481i | −1.01633 | − | 0.586776i | −0.103288 | − | 0.994652i | \(-0.532936\pi\) |
−0.913037 | + | 0.407876i | \(0.866270\pi\) | |||||||
\(542\) | 3.61004 | − | 6.25277i | 0.155064 | − | 0.268579i | ||||
\(543\) | −10.2795 | + | 25.5306i | −0.441134 | + | 1.09562i | ||||
\(544\) | −1.67166 | − | 2.89540i | −0.0716718 | − | 0.124139i | ||||
\(545\) | −41.6066 | −1.78223 | ||||||||
\(546\) | −4.11034 | + | 16.0033i | −0.175906 | + | 0.684877i | ||||
\(547\) | 31.5392 | 1.34852 | 0.674259 | − | 0.738495i | \(-0.264463\pi\) | ||||
0.674259 | + | 0.738495i | \(0.264463\pi\) | |||||||
\(548\) | 10.4435 | + | 18.0886i | 0.446122 | + | 0.772706i | ||||
\(549\) | 13.8564 | − | 14.4177i | 0.591375 | − | 0.615331i | ||||
\(550\) | −8.13573 | + | 14.0915i | −0.346909 | + | 0.600864i | ||||
\(551\) | −19.2619 | − | 11.1208i | −0.820583 | − | 0.473764i | ||||
\(552\) | 4.25500 | − | 0.603202i | 0.181105 | − | 0.0256740i | ||||
\(553\) | 28.7595 | + | 34.6145i | 1.22298 | + | 1.47196i | ||||
\(554\) | 20.2042 | 0.858394 | ||||||||
\(555\) | 12.4122 | + | 4.99754i | 0.526867 | + | 0.212134i | ||||
\(556\) | − | 14.3760i | − | 0.609677i | ||||||
\(557\) | −5.26531 | −0.223098 | −0.111549 | − | 0.993759i | \(-0.535581\pi\) | ||||
−0.111549 | + | 0.993759i | \(0.535581\pi\) | |||||||
\(558\) | 17.0469 | − | 4.93235i | 0.721651 | − | 0.208803i | ||||
\(559\) | 14.2682 | − | 7.52440i | 0.603480 | − | 0.318248i | ||||
\(560\) | −7.45993 | − | 2.75633i | −0.315239 | − | 0.116476i | ||||
\(561\) | 18.3824 | − | 14.3974i | 0.776107 | − | 0.607861i | ||||
\(562\) | 2.85989 | + | 4.95348i | 0.120637 | + | 0.208950i | ||||
\(563\) | 21.0817 | − | 36.5146i | 0.888489 | − | 1.53891i | 0.0468266 | − | 0.998903i | \(-0.485089\pi\) |
0.841662 | − | 0.540005i | \(-0.181577\pi\) | |||||||
\(564\) | −11.4314 | + | 1.62055i | −0.481349 | + | 0.0682375i | ||||
\(565\) | 42.1920 | 1.77503 | ||||||||
\(566\) | 2.40181 | − | 1.38668i | 0.100955 | − | 0.0582866i | ||||
\(567\) | −22.6458 | − | 7.35976i | −0.951036 | − | 0.309081i | ||||
\(568\) | 0.436496 | + | 0.756034i | 0.0183150 | + | 0.0317225i | ||||
\(569\) | 4.30714 | − | 2.48673i | 0.180565 | − | 0.104249i | −0.406993 | − | 0.913431i | \(-0.633423\pi\) |
0.587558 | + | 0.809182i | \(0.300089\pi\) | |||||||
\(570\) | 9.99028 | − | 24.8124i | 0.418447 | − | 1.03928i | ||||
\(571\) | 8.28254 | + | 14.3458i | 0.346613 | + | 0.600352i | 0.985646 | − | 0.168828i | \(-0.0539983\pi\) |
−0.639032 | + | 0.769180i | \(0.720665\pi\) | |||||||
\(572\) | 12.3028 | + | 7.74596i | 0.514408 | + | 0.323875i | ||||
\(573\) | −11.1523 | + | 27.6985i | −0.465895 | + | 1.15712i | ||||
\(574\) | −18.0439 | − | 6.66696i | −0.753139 | − | 0.278273i | ||||
\(575\) | 8.67117 | + | 5.00630i | 0.361613 | + | 0.208777i | ||||
\(576\) | 2.16301 | + | 2.07880i | 0.0901253 | + | 0.0866165i | ||||
\(577\) | −0.888204 | − | 1.53841i | −0.0369764 | − | 0.0640450i | 0.846945 | − | 0.531681i | \(-0.178439\pi\) |
−0.883921 | + | 0.467636i | \(0.845106\pi\) | |||||||
\(578\) | 2.91110 | − | 5.04218i | 0.121086 | − | 0.209727i | ||||
\(579\) | −8.09274 | + | 20.0996i | −0.336323 | + | 0.835309i | ||||
\(580\) | 13.0132 | 0.540342 | ||||||||
\(581\) | 31.4184 | + | 11.6086i | 1.30346 | + | 0.481607i | ||||
\(582\) | −3.01834 | + | 2.36402i | −0.125114 | + | 0.0979917i | ||||
\(583\) | 34.2858 | − | 19.7949i | 1.41997 | − | 0.819821i | ||||
\(584\) | 6.78690 | + | 11.7553i | 0.280844 | + | 0.486436i | ||||
\(585\) | 31.5558 | − | 7.83411i | 1.30467 | − | 0.323901i | ||||
\(586\) | 11.4769 | + | 6.62619i | 0.474106 | + | 0.273725i | ||||
\(587\) | 25.1460 | + | 14.5180i | 1.03789 | + | 0.599224i | 0.919234 | − | 0.393712i | \(-0.128809\pi\) |
0.118652 | + | 0.992936i | \(0.462143\pi\) | |||||||
\(588\) | 12.1129 | + | 0.526395i | 0.499529 | + | 0.0217082i | ||||
\(589\) | −15.1953 | − | 26.3190i | −0.626112 | − | 1.08446i | ||||
\(590\) | −4.78047 | + | 8.28002i | −0.196809 | + | 0.340883i | ||||
\(591\) | −14.4721 | + | 11.3348i | −0.595302 | + | 0.466251i | ||||
\(592\) | 2.22571 | + | 1.28501i | 0.0914759 | + | 0.0528136i | ||||
\(593\) | 32.7140 | + | 18.8874i | 1.34340 | + | 0.775614i | 0.987305 | − | 0.158835i | \(-0.0507738\pi\) |
0.356097 | + | 0.934449i | \(0.384107\pi\) | |||||||
\(594\) | −12.2541 | + | 16.9945i | −0.502794 | + | 0.697294i | ||||
\(595\) | 4.48978 | + | 26.2071i | 0.184063 | + | 1.07439i | ||||
\(596\) | −4.93899 | + | 8.55458i | −0.202309 | + | 0.350409i | ||||
\(597\) | 8.09987 | + | 10.3418i | 0.331506 | + | 0.423261i | ||||
\(598\) | 4.76646 | − | 7.57052i | 0.194915 | − | 0.309581i | ||||
\(599\) | −37.6285 | + | 21.7248i | −1.53746 | + | 0.887653i | −0.538473 | + | 0.842643i | \(0.680999\pi\) |
−0.998987 | + | 0.0450101i | \(0.985668\pi\) | |||||||
\(600\) | 0.981048 | + | 6.92034i | 0.0400511 | + | 0.282522i | ||||
\(601\) | −13.6314 | − | 7.87007i | −0.556035 | − | 0.321027i | 0.195518 | − | 0.980700i | \(-0.437361\pi\) |
−0.751553 | + | 0.659673i | \(0.770695\pi\) | |||||||
\(602\) | −7.56429 | − | 9.10428i | −0.308297 | − | 0.371063i | ||||
\(603\) | −16.9226 | + | 17.6081i | −0.689140 | + | 0.717057i | ||||
\(604\) | 5.47496i | 0.222773i | ||||||||
\(605\) | −13.6887 | − | 7.90317i | −0.556524 | − | 0.321310i | ||||
\(606\) | 3.17579 | + | 22.4021i | 0.129008 | + | 0.910022i | ||||
\(607\) | − | 9.94765i | − | 0.403762i | −0.979410 | − | 0.201881i | \(-0.935294\pi\) | ||
0.979410 | − | 0.201881i | \(-0.0647055\pi\) | |||||||
\(608\) | 2.56879 | − | 4.44927i | 0.104178 | − | 0.180442i | ||||
\(609\) | −18.8903 | + | 6.06143i | −0.765473 | + | 0.245622i | ||||
\(610\) | 20.0360 | 0.811234 | ||||||||
\(611\) | −12.8055 | + | 20.3388i | −0.518054 | + | 0.822820i | ||||
\(612\) | 2.40313 | − | 9.73782i | 0.0971410 | − | 0.393628i | ||||
\(613\) | − | 39.8143i | − | 1.60808i | −0.594573 | − | 0.804041i | \(-0.702679\pi\) | ||
0.594573 | − | 0.804041i | \(-0.297321\pi\) | |||||||
\(614\) | −10.1430 | − | 17.5683i | −0.409340 | − | 0.708998i | ||||
\(615\) | 5.31309 | + | 37.4787i | 0.214245 | + | 1.51129i | ||||
\(616\) | 3.69740 | − | 10.0069i | 0.148973 | − | 0.403190i | ||||
\(617\) | −3.33450 | − | 5.77553i | −0.134242 | − | 0.232514i | 0.791066 | − | 0.611731i | \(-0.209527\pi\) |
−0.925308 | + | 0.379217i | \(0.876193\pi\) | |||||||
\(618\) | 11.0993 | − | 27.5669i | 0.446480 | − | 1.10890i | ||||
\(619\) | −1.64337 | − | 2.84640i | −0.0660526 | − | 0.114406i | 0.831108 | − | 0.556111i | \(-0.187707\pi\) |
−0.897160 | + | 0.441705i | \(0.854374\pi\) | |||||||
\(620\) | 15.3988 | + | 8.89047i | 0.618429 | + | 0.357050i | ||||
\(621\) | 10.4575 | + | 7.54055i | 0.419646 | + | 0.302592i | ||||
\(622\) | 8.05505 | − | 13.9518i | 0.322978 | − | 0.559414i | ||||
\(623\) | −1.62566 | − | 9.48904i | −0.0651305 | − | 0.380170i | ||||
\(624\) | 6.21221 | − | 0.639101i | 0.248687 | − | 0.0255845i | ||||
\(625\) | 14.4463 | − | 25.0217i | 0.577851 | − | 1.00087i | ||||
\(626\) | 27.3441i | 1.09289i | ||||||||
\(627\) | 33.2839 | + | 13.4012i | 1.32923 | + | 0.535192i | ||||
\(628\) | − | 8.87776i | − | 0.354261i | ||||||
\(629\) | − | 8.59241i | − | 0.342602i | ||||||
\(630\) | −10.4060 | − | 21.4696i | −0.414586 | − | 0.855371i | ||||
\(631\) | −25.0289 | + | 14.4504i | −0.996383 | + | 0.575262i | −0.907176 | − | 0.420751i | \(-0.861767\pi\) |
−0.0892070 | + | 0.996013i | \(0.528433\pi\) | |||||||
\(632\) | 8.50477 | − | 14.7307i | 0.338302 | − | 0.585956i | ||||
\(633\) | 15.8647 | − | 12.4255i | 0.630564 | − | 0.493868i | ||||
\(634\) | −26.1909 | −1.04017 | ||||||||
\(635\) | −43.0398 | + | 24.8491i | −1.70798 | + | 0.986105i | ||||
\(636\) | 6.35169 | − | 15.7754i | 0.251861 | − | 0.625535i | ||||
\(637\) | 17.1328 | − | 18.5329i | 0.678825 | − | 0.734301i | ||||
\(638\) | 17.4562i | 0.691096i | ||||||||
\(639\) | −0.627496 | + | 2.54269i | −0.0248233 | + | 0.100587i | ||||
\(640\) | 3.00590i | 0.118818i | ||||||||
\(641\) | −14.7576 | − | 8.52032i | −0.582891 | − | 0.336533i | 0.179390 | − | 0.983778i | \(-0.442588\pi\) |
−0.762282 | + | 0.647245i | \(0.775921\pi\) | |||||||
\(642\) | 2.16111 | + | 2.75927i | 0.0852922 | + | 0.108900i | ||||
\(643\) | −21.5514 | − | 37.3282i | −0.849906 | − | 1.47208i | −0.881291 | − | 0.472573i | \(-0.843325\pi\) |
0.0313853 | − | 0.999507i | \(-0.490008\pi\) | |||||||
\(644\) | −6.15772 | − | 2.27519i | −0.242648 | − | 0.0896549i | ||||
\(645\) | −8.69960 | + | 21.6068i | −0.342546 | + | 0.850766i | ||||
\(646\) | −17.1766 | −0.675803 | ||||||||
\(647\) | −9.13877 | −0.359282 | −0.179641 | − | 0.983732i | \(-0.557494\pi\) | ||||
−0.179641 | + | 0.983732i | \(0.557494\pi\) | |||||||
\(648\) | 0.357208 | + | 8.99291i | 0.0140324 | + | 0.353275i | ||||
\(649\) | −11.1070 | − | 6.41264i | −0.435988 | − | 0.251718i | ||||
\(650\) | 12.3127 | + | 7.75217i | 0.482944 | + | 0.304065i | ||||
\(651\) | −26.4944 | − | 5.73306i | −1.03840 | − | 0.224696i | ||||
\(652\) | 4.75335 | + | 2.74435i | 0.186156 | + | 0.107477i | ||||
\(653\) | 12.6236 | − | 7.28821i | 0.493998 | − | 0.285210i | −0.232234 | − | 0.972660i | \(-0.574603\pi\) |
0.726231 | + | 0.687450i | \(0.241270\pi\) | |||||||
\(654\) | −14.7828 | − | 18.8744i | −0.578052 | − | 0.738048i | ||||
\(655\) | 21.7964 | − | 12.5842i | 0.851656 | − | 0.491704i | ||||
\(656\) | 7.27060i | 0.283869i | ||||||||
\(657\) | −9.75667 | + | 39.5353i | −0.380644 | + | 1.54242i | ||||
\(658\) | 16.5432 | + | 6.11247i | 0.644922 | + | 0.238289i | ||||
\(659\) | 23.2554 | − | 13.4265i | 0.905901 | − | 0.523022i | 0.0267913 | − | 0.999641i | \(-0.491471\pi\) |
0.879110 | + | 0.476619i | \(0.158138\pi\) | |||||||
\(660\) | −20.7852 | + | 2.94657i | −0.809061 | + | 0.114695i | ||||
\(661\) | −25.1784 | −0.979327 | −0.489663 | − | 0.871912i | \(-0.662880\pi\) | ||||
−0.489663 | + | 0.871912i | \(0.662880\pi\) | |||||||
\(662\) | 11.7438 | − | 6.78028i | 0.456435 | − | 0.263523i | ||||
\(663\) | −12.2352 | − | 16.9185i | −0.475174 | − | 0.657059i | ||||
\(664\) | − | 12.6597i | − | 0.491292i | ||||||
\(665\) | −31.4266 | + | 26.1108i | −1.21867 | + | 1.01253i | ||||
\(666\) | 2.14294 | + | 7.40628i | 0.0830373 | + | 0.286987i | ||||
\(667\) | 10.7416 | 0.415916 | ||||||||
\(668\) | 3.01387 | − | 1.74006i | 0.116610 | − | 0.0673250i | ||||
\(669\) | 1.89842 | − | 1.48687i | 0.0733970 | − | 0.0574858i | ||||
\(670\) | −24.4697 | −0.945345 | ||||||||
\(671\) | 26.8767i | 1.03757i | ||||||||
\(672\) | −1.40012 | − | 4.36345i | −0.0540109 | − | 0.168324i | ||||
\(673\) | −9.27973 | + | 16.0730i | −0.357707 | + | 0.619567i | −0.987577 | − | 0.157133i | \(-0.949775\pi\) |
0.629870 | + | 0.776700i | \(0.283108\pi\) | |||||||
\(674\) | −4.92364 | − | 8.52799i | −0.189651 | − | 0.328486i | ||||
\(675\) | −12.2640 | + | 17.0081i | −0.472040 | + | 0.654644i | ||||
\(676\) | 7.34264 | − | 10.7278i | 0.282409 | − | 0.412608i | ||||
\(677\) | 9.29724 | − | 16.1033i | 0.357322 | − | 0.618900i | −0.630191 | − | 0.776441i | \(-0.717023\pi\) |
0.987512 | + | 0.157541i | \(0.0503566\pi\) | |||||||
\(678\) | 14.9908 | + | 19.1400i | 0.575717 | + | 0.735066i | ||||
\(679\) | 5.77232 | − | 0.988909i | 0.221521 | − | 0.0379509i | ||||
\(680\) | 8.70327 | − | 5.02484i | 0.333755 | − | 0.192694i | ||||
\(681\) | 7.73293 | + | 9.87329i | 0.296326 | + | 0.378345i | ||||
\(682\) | −11.9259 | + | 20.6562i | −0.456666 | + | 0.790968i | ||||
\(683\) | 16.5963 | − | 28.7457i | 0.635041 | − | 1.09992i | −0.351465 | − | 0.936201i | \(-0.614316\pi\) |
0.986506 | − | 0.163723i | \(-0.0523503\pi\) | |||||||
\(684\) | 14.8054 | − | 4.28382i | 0.566100 | − | 0.163796i | ||||
\(685\) | −54.3724 | + | 31.3919i | −2.07746 | + | 1.19942i | ||||
\(686\) | −15.9023 | − | 9.49303i | −0.607152 | − | 0.362446i | ||||
\(687\) | −32.7572 | + | 25.6560i | −1.24977 | + | 0.978839i | ||||
\(688\) | −2.23692 | + | 3.87445i | −0.0852816 | + | 0.147712i | ||||
\(689\) | −16.5134 | − | 31.3136i | −0.629109 | − | 1.19295i | ||||
\(690\) | 1.81316 | + | 12.7901i | 0.0690259 | + | 0.486910i | ||||
\(691\) | −10.3366 | − | 17.9036i | −0.393224 | − | 0.681084i | 0.599648 | − | 0.800264i | \(-0.295307\pi\) |
−0.992873 | + | 0.119179i | \(0.961974\pi\) | |||||||
\(692\) | −5.87790 | + | 10.1808i | −0.223444 | + | 0.387016i | ||||
\(693\) | 28.7999 | − | 13.9589i | 1.09402 | − | 0.530254i | ||||
\(694\) | 27.2395i | 1.03400i | ||||||||
\(695\) | 43.2127 | 1.63915 | ||||||||
\(696\) | 4.62357 | + | 5.90330i | 0.175256 | + | 0.223764i | ||||
\(697\) | 21.0513 | − | 12.1540i | 0.797375 | − | 0.460365i | ||||
\(698\) | −12.7908 | −0.484140 | ||||||||
\(699\) | −4.06110 | − | 5.18515i | −0.153605 | − | 0.196121i | ||||
\(700\) | 3.70037 | − | 10.0149i | 0.139861 | − | 0.378529i | ||||
\(701\) | 5.92119i | 0.223640i | 0.993728 | + | 0.111820i | \(0.0356681\pi\) | ||||
−0.993728 | + | 0.111820i | \(0.964332\pi\) | |||||||
\(702\) | 14.7656 | + | 11.5315i | 0.557292 | + | 0.435230i | ||||
\(703\) | 11.4347 | − | 6.60184i | 0.431269 | − | 0.248993i | ||||
\(704\) | −4.03218 | −0.151968 | ||||||||
\(705\) | −4.87121 | − | 34.3616i | −0.183460 | − | 1.29413i | ||||
\(706\) | 6.71764 | − | 3.87843i | 0.252822 | − | 0.145967i | ||||
\(707\) | 11.9786 | − | 32.4197i | 0.450501 | − | 1.21927i | ||||
\(708\) | −5.45465 | + | 0.773268i | −0.204998 | + | 0.0290612i | ||||
\(709\) | 38.9620i | 1.46325i | 0.681709 | + | 0.731624i | \(0.261237\pi\) | ||||
−0.681709 | + | 0.731624i | \(0.738763\pi\) | |||||||
\(710\) | −2.27256 | + | 1.31206i | −0.0852876 | + | 0.0492408i | ||||
\(711\) | 49.0180 | − | 14.1829i | 1.83832 | − | 0.531901i | ||||
\(712\) | −3.15127 | + | 1.81939i | −0.118099 | + | 0.0681844i | ||||
\(713\) | 12.7108 | + | 7.33856i | 0.476022 | + | 0.274831i | ||||
\(714\) | −10.2934 | + | 11.3481i | −0.385221 | + | 0.424692i | ||||
\(715\) | −23.2836 | + | 36.9810i | −0.870756 | + | 1.38301i | ||||
\(716\) | 9.26309 | + | 5.34805i | 0.346178 | + | 0.199866i | ||||
\(717\) | 14.0932 | + | 5.67440i | 0.526321 | + | 0.211914i | ||||
\(718\) | −1.30042 | −0.0485311 | ||||||||
\(719\) | 24.4731 | 0.912694 | 0.456347 | − | 0.889802i | \(-0.349158\pi\) | ||||
0.456347 | + | 0.889802i | \(0.349158\pi\) | |||||||
\(720\) | −6.24865 | + | 6.50178i | −0.232873 | + | 0.242307i | ||||
\(721\) | −34.9154 | + | 29.0094i | −1.30032 | + | 1.08037i | ||||
\(722\) | −3.69734 | − | 6.40399i | −0.137601 | − | 0.238332i | ||||
\(723\) | 7.72741 | − | 6.05224i | 0.287386 | − | 0.225085i | ||||
\(724\) | −13.7612 | − | 7.94502i | −0.511430 | − | 0.295274i | ||||
\(725\) | 17.4701i | 0.648825i | ||||||||
\(726\) | −1.27838 | − | 9.01773i | −0.0474452 | − | 0.334679i | ||||
\(727\) | − | 49.5341i | − | 1.83712i | −0.395283 | − | 0.918560i | \(-0.629353\pi\) | ||
0.395283 | − | 0.918560i | \(-0.370647\pi\) | |||||||
\(728\) | −8.81495 | − | 3.64647i | −0.326704 | − | 0.135147i | ||||
\(729\) | −17.9218 | + | 20.1943i | −0.663770 | + | 0.747937i | ||||
\(730\) | −35.3351 | + | 20.4007i | −1.30781 | + | 0.755064i | ||||
\(731\) | 14.9575 | 0.553222 | ||||||||
\(732\) | 7.11877 | + | 9.08914i | 0.263117 | + | 0.335944i | ||||
\(733\) | 17.0909 | − | 29.6023i | 0.631266 | − | 1.09338i | −0.356027 | − | 0.934476i | \(-0.615869\pi\) |
0.987293 | − | 0.158909i | \(-0.0507977\pi\) | |||||||
\(734\) | −18.2652 | + | 10.5454i | −0.674182 | + | 0.389239i | ||||
\(735\) | −1.58229 | + | 36.4102i | −0.0583636 | + | 1.34301i | ||||
\(736\) | 2.48119i | 0.0914578i | ||||||||
\(737\) | − | 32.8242i | − | 1.20909i | ||||||
\(738\) | −15.1141 | + | 15.7264i | −0.556358 | + | 0.578896i | ||||
\(739\) | 6.24211i | 0.229620i | 0.993387 | + | 0.114810i | \(0.0366259\pi\) | ||||
−0.993387 | + | 0.114810i | \(0.963374\pi\) | |||||||
\(740\) | −3.86261 | + | 6.69024i | −0.141992 | + | 0.245938i | ||||
\(741\) | 13.1143 | − | 29.2815i | 0.481766 | − | 1.07568i | ||||
\(742\) | −19.9806 | + | 16.6009i | −0.733512 | + | 0.609439i | ||||
\(743\) | 3.45608 | − | 5.98611i | 0.126791 | − | 0.219609i | −0.795640 | − | 0.605769i | \(-0.792865\pi\) |
0.922432 | + | 0.386160i | \(0.126199\pi\) | |||||||
\(744\) | 1.43808 | + | 10.1443i | 0.0527227 | + | 0.371907i | ||||
\(745\) | −25.7142 | − | 14.8461i | −0.942094 | − | 0.543918i | ||||
\(746\) | −11.0125 | − | 19.0742i | −0.403196 | − | 0.698357i | ||||
\(747\) | 26.3170 | − | 27.3831i | 0.962888 | − | 1.00189i | ||||
\(748\) | 6.74043 | + | 11.6748i | 0.246455 | + | 0.426872i | ||||
\(749\) | −0.904029 | − | 5.27687i | −0.0330325 | − | 0.192813i | ||||
\(750\) | 4.97231 | − | 0.704890i | 0.181563 | − | 0.0257389i | ||||
\(751\) | −20.5847 | − | 35.6538i | −0.751147 | − | 1.30103i | −0.947267 | − | 0.320445i | \(-0.896167\pi\) |
0.196120 | − | 0.980580i | \(-0.437166\pi\) | |||||||
\(752\) | − | 6.66591i | − | 0.243081i | ||||||
\(753\) | 1.99497 | + | 14.0725i | 0.0727006 | + | 0.512832i | ||||
\(754\) | 15.5978 | + | 0.597798i | 0.568037 | + | 0.0217705i | ||||
\(755\) | −16.4572 | −0.598937 | ||||||||
\(756\) | 6.04224 | − | 12.3487i | 0.219754 | − | 0.449119i | ||||
\(757\) | 2.12231 | − | 3.67595i | 0.0771367 | − | 0.133605i | −0.824877 | − | 0.565313i | \(-0.808756\pi\) |
0.902013 | + | 0.431708i | \(0.142089\pi\) | |||||||
\(758\) | − | 7.20866i | − | 0.261830i | ||||||
\(759\) | −17.1569 | + | 2.43222i | −0.622756 | + | 0.0882839i | ||||
\(760\) | 13.3740 | + | 7.72151i | 0.485128 | + | 0.280089i | ||||
\(761\) | − | 44.7288i | − | 1.62142i | −0.585448 | − | 0.810710i | \(-0.699082\pi\) | ||
0.585448 | − | 0.810710i | \(-0.300918\pi\) | |||||||
\(762\) | −26.5645 | − | 10.6958i | −0.962332 | − | 0.387467i | ||||
\(763\) | 6.18389 | + | 36.0957i | 0.223872 | + | 1.30675i | ||||
\(764\) | −14.9297 | − | 8.61966i | −0.540137 | − | 0.311848i | ||||
\(765\) | 29.2709 | + | 7.22357i | 1.05829 | + | 0.261169i | ||||
\(766\) | 28.3175 | − | 16.3491i | 1.02315 | − | 0.590719i | ||||
\(767\) | −6.11031 | + | 9.70494i | −0.220630 | + | 0.350425i | ||||
\(768\) | −1.36360 | + | 1.06799i | −0.0492045 | + | 0.0385378i | ||||
\(769\) | −6.20113 | + | 10.7407i | −0.223618 | + | 0.387318i | −0.955904 | − | 0.293679i | \(-0.905120\pi\) |
0.732286 | + | 0.680998i | \(0.238454\pi\) | |||||||
\(770\) | 30.0797 | + | 11.1140i | 1.08400 | + | 0.400521i | ||||
\(771\) | 6.57914 | + | 46.4094i | 0.236942 | + | 1.67139i | ||||
\(772\) | −10.8338 | − | 6.25490i | −0.389917 | − | 0.225119i | ||||
\(773\) | 10.3101 | + | 5.95256i | 0.370830 | + | 0.214099i | 0.673821 | − | 0.738895i | \(-0.264652\pi\) |
−0.302991 | + | 0.952993i | \(0.597985\pi\) | |||||||
\(774\) | −12.8927 | + | 3.73038i | −0.463417 | + | 0.134086i | ||||
\(775\) | −11.9354 | + | 20.6728i | −0.428734 | + | 0.742588i | ||||
\(776\) | −1.10676 | − | 1.91696i | −0.0397303 | − | 0.0688149i | ||||
\(777\) | 2.49082 | − | 11.5109i | 0.0893576 | − | 0.412952i | ||||
\(778\) | −24.6307 | − | 14.2206i | −0.883055 | − | 0.509832i | ||||
\(779\) | 32.3489 | + | 18.6766i | 1.15902 | + | 0.669160i | ||||
\(780\) | 1.92107 | + | 18.6733i | 0.0687854 | + | 0.668610i | ||||
\(781\) | −1.76003 | − | 3.04846i | −0.0629788 | − | 0.109083i | ||||
\(782\) | 7.18403 | − | 4.14770i | 0.256900 | − | 0.148322i | ||||
\(783\) | −2.27095 | + | 22.3803i | −0.0811571 | + | 0.799808i | ||||
\(784\) | −1.28250 | + | 6.88151i | −0.0458035 | + | 0.245768i | ||||
\(785\) | 26.6856 | 0.952451 | ||||||||
\(786\) | 13.4529 | + | 5.41659i | 0.479850 | + | 0.193203i | ||||
\(787\) | 11.1025 | − | 19.2302i | 0.395763 | − | 0.685482i | −0.597435 | − | 0.801917i | \(-0.703813\pi\) |
0.993198 | + | 0.116435i | \(0.0371468\pi\) | |||||||
\(788\) | −5.30659 | − | 9.19128i | −0.189039 | − | 0.327426i | ||||
\(789\) | −9.45890 | + | 23.4926i | −0.336746 | + | 0.836359i | ||||
\(790\) | 44.2789 | + | 25.5645i | 1.57537 | + | 0.909543i | ||||
\(791\) | −6.27089 | − | 36.6035i | −0.222967 | − | 1.30147i | ||||
\(792\) | −8.72163 | − | 8.38208i | −0.309910 | − | 0.297844i | ||||
\(793\) | 24.0154 | + | 0.920412i | 0.852812 | + | 0.0326848i | ||||
\(794\) | −10.0412 | − | 17.3918i | −0.356348 | − | 0.617213i | ||||
\(795\) | 47.4192 | + | 19.0925i | 1.68179 | + | 0.677142i | ||||
\(796\) | −6.56812 | + | 3.79210i | −0.232801 | + | 0.134408i | ||||
\(797\) | −2.52557 | − | 4.37441i | −0.0894601 | − | 0.154949i | 0.817823 | − | 0.575470i | \(-0.195181\pi\) |
−0.907283 | + | 0.420520i | \(0.861847\pi\) | |||||||
\(798\) | −23.0108 | − | 4.97924i | −0.814572 | − | 0.176263i | ||||
\(799\) | −19.3005 | + | 11.1431i | −0.682802 | + | 0.394216i | ||||
\(800\) | −4.03541 | −0.142673 | ||||||||
\(801\) | −10.5984 | − | 2.61550i | −0.374474 | − | 0.0924142i | ||||
\(802\) | 2.66078 | − | 4.60861i | 0.0939555 | − | 0.162736i | ||||
\(803\) | −27.3660 | − | 47.3993i | −0.965725 | − | 1.67268i | ||||
\(804\) | −8.69405 | − | 11.1004i | −0.306615 | − | 0.391482i | ||||
\(805\) | 6.83897 | − | 18.5095i | 0.241042 | − | 0.652373i | ||||
\(806\) | 18.0487 | + | 11.3636i | 0.635740 | + | 0.400267i | ||||
\(807\) | −39.1368 | + | 30.6526i | −1.37768 | + | 1.07902i | ||||
\(808\) | −13.0632 | −0.459560 | ||||||||
\(809\) | − | 6.86511i | − | 0.241365i | −0.992691 | − | 0.120682i | \(-0.961492\pi\) | ||
0.992691 | − | 0.120682i | \(-0.0385082\pi\) | |||||||
\(810\) | −27.0317 | + | 1.07373i | −0.949799 | + | 0.0377270i | ||||
\(811\) | −54.3239 | −1.90757 | −0.953785 | − | 0.300491i | \(-0.902850\pi\) | ||||
−0.953785 | + | 0.300491i | \(0.902850\pi\) | |||||||
\(812\) | −1.93412 | − | 11.2896i | −0.0678742 | − | 0.396186i | ||||
\(813\) | 1.75527 | + | 12.3817i | 0.0615601 | + | 0.434246i | ||||
\(814\) | −8.97444 | − | 5.18139i | −0.314554 | − | 0.181608i | ||||
\(815\) | −8.24922 | + | 14.2881i | −0.288958 | + | 0.500489i | ||||
\(816\) | 5.37173 | + | 2.16284i | 0.188048 | + | 0.0757144i | ||||
\(817\) | 11.4923 | + | 19.9053i | 0.402066 | + | 0.696398i | ||||
\(818\) | −17.5007 | −0.611899 | ||||||||
\(819\) | −11.4865 | − | 26.2118i | −0.401372 | − | 0.915915i | ||||
\(820\) | −21.8547 | −0.763198 | ||||||||
\(821\) | −21.1946 | − | 36.7102i | −0.739698 | − | 1.28120i | −0.952631 | − | 0.304128i | \(-0.901635\pi\) |
0.212933 | − | 0.977067i | \(-0.431698\pi\) | |||||||
\(822\) | −33.5591 | − | 13.5120i | −1.17051 | − | 0.471285i | ||||
\(823\) | 18.3531 | − | 31.7885i | 0.639749 | − | 1.10808i | −0.345738 | − | 0.938331i | \(-0.612372\pi\) |
0.985488 | − | 0.169747i | \(-0.0542951\pi\) | |||||||
\(824\) | 14.8587 | + | 8.57869i | 0.517628 | + | 0.298853i | ||||
\(825\) | −3.95576 | − | 27.9040i | −0.137722 | − | 0.971493i | ||||
\(826\) | 7.89383 | + | 2.91665i | 0.274661 | + | 0.101483i | ||||
\(827\) | 3.97539 | 0.138238 | 0.0691189 | − | 0.997608i | \(-0.477981\pi\) | ||||
0.0691189 | + | 0.997608i | \(0.477981\pi\) | |||||||
\(828\) | −5.15789 | + | 5.36683i | −0.179249 | + | 0.186510i | ||||
\(829\) | 37.5887i | 1.30551i | 0.757570 | + | 0.652754i | \(0.226387\pi\) | ||||
−0.757570 | + | 0.652754i | \(0.773613\pi\) | |||||||
\(830\) | 38.0538 | 1.32087 | ||||||||
\(831\) | −27.5503 | + | 21.5779i | −0.955711 | + | 0.748529i | ||||
\(832\) | −0.138085 | + | 3.60291i | −0.00478722 | + | 0.124908i | ||||
\(833\) | 22.0686 | − | 7.79021i | 0.764633 | − | 0.269915i | ||||
\(834\) | 15.3534 | + | 19.6030i | 0.531646 | + | 0.678797i | ||||
\(835\) | 5.23044 | + | 9.05939i | 0.181007 | + | 0.313513i | ||||
\(836\) | −10.3578 | + | 17.9402i | −0.358232 | + | 0.620476i | ||||
\(837\) | −17.9773 | + | 24.9316i | −0.621386 | + | 0.861763i | ||||
\(838\) | 23.9403 | 0.827004 | ||||||||
\(839\) | 32.8698 | − | 18.9774i | 1.13479 | − | 0.655172i | 0.189656 | − | 0.981851i | \(-0.439263\pi\) |
0.945135 | + | 0.326679i | \(0.105929\pi\) | |||||||
\(840\) | 13.1161 | − | 4.20862i | 0.452547 | − | 0.145211i | ||||
\(841\) | −5.12895 | − | 8.88359i | −0.176860 | − | 0.306331i | ||||
\(842\) | 15.9681 | − | 9.21922i | 0.550299 | − | 0.317715i | ||||
\(843\) | −9.19001 | − | 3.70020i | −0.316521 | − | 0.127442i | ||||
\(844\) | 5.81722 | + | 10.0757i | 0.200237 | + | 0.346820i | ||||
\(845\) | 32.2466 | + | 22.0712i | 1.10932 | + | 0.759272i | ||||
\(846\) | 13.8571 | − | 14.4184i | 0.476416 | − | 0.495716i | ||||
\(847\) | −4.82186 | + | 13.0502i | −0.165681 | + | 0.448411i | ||||
\(848\) | 8.50304 | + | 4.90923i | 0.291996 | + | 0.168584i | ||||
\(849\) | −1.79413 | + | 4.45598i | −0.0615742 | + | 0.152929i | ||||
\(850\) | 6.74583 | + | 11.6841i | 0.231380 | + | 0.400762i | ||||
\(851\) | −3.18835 | + | 5.52239i | −0.109295 | + | 0.189305i | ||||
\(852\) | −1.40264 | − | 0.564750i | −0.0480537 | − | 0.0193480i | ||||
\(853\) | −33.6251 | −1.15130 | −0.575651 | − | 0.817695i | \(-0.695251\pi\) | ||||
−0.575651 | + | 0.817695i | \(0.695251\pi\) | |||||||
\(854\) | −2.97790 | − | 17.3822i | −0.101902 | − | 0.594806i | ||||
\(855\) | 12.8767 | + | 44.5036i | 0.440375 | + | 1.52199i | ||||
\(856\) | −1.75243 | + | 1.01176i | −0.0598967 | + | 0.0345814i | ||||
\(857\) | 11.5390 | + | 19.9861i | 0.394164 | + | 0.682712i | 0.992994 | − | 0.118164i | \(-0.0377009\pi\) |
−0.598830 | + | 0.800876i | \(0.704368\pi\) | |||||||
\(858\) | −25.0487 | + | 2.57697i | −0.855149 | + | 0.0879763i | ||||
\(859\) | 12.1144 | + | 6.99427i | 0.413339 | + | 0.238642i | 0.692223 | − | 0.721683i | \(-0.256631\pi\) |
−0.278884 | + | 0.960325i | \(0.589965\pi\) | |||||||
\(860\) | −11.6462 | − | 6.72394i | −0.397132 | − | 0.229284i | ||||
\(861\) | 31.7249 | − | 10.1797i | 1.08118 | − | 0.346924i | ||||
\(862\) | 7.38913 | + | 12.7984i | 0.251675 | + | 0.435914i | ||||
\(863\) | −8.37357 | + | 14.5034i | −0.285040 | + | 0.493703i | −0.972619 | − | 0.232406i | \(-0.925340\pi\) |
0.687579 | + | 0.726109i | \(0.258673\pi\) | |||||||
\(864\) | −5.16961 | − | 0.524564i | −0.175874 | − | 0.0178460i | ||||
\(865\) | −30.6025 | − | 17.6683i | −1.04051 | − | 0.600742i | ||||
\(866\) | 24.1602 | + | 13.9489i | 0.820998 | + | 0.474003i | ||||
\(867\) | 1.41544 | + | 9.98453i | 0.0480708 | + | 0.339092i | ||||
\(868\) | 5.42423 | − | 14.6805i | 0.184110 | − | 0.498290i | ||||
\(869\) | −34.2927 | + | 59.3968i | −1.16330 | + | 2.01490i | ||||
\(870\) | −17.7447 | + | 13.8980i | −0.601602 | + | 0.471185i | ||||
\(871\) | −29.3297 | − | 1.12408i | −0.993797 | − | 0.0380882i | ||||
\(872\) | 11.9872 | − | 6.92083i | 0.405939 | − | 0.234369i | ||||
\(873\) | 1.59105 | − | 6.44713i | 0.0538488 | − | 0.218202i | ||||
\(874\) | 11.0395 | + | 6.37365i | 0.373416 | + | 0.215592i | ||||
\(875\) | −7.19580 | − | 2.65874i | −0.243262 | − | 0.0898818i | ||||
\(876\) | −21.8091 | − | 8.78107i | −0.736862 | − | 0.296685i | ||||
\(877\) | 25.5910i | 0.864148i | 0.901838 | + | 0.432074i | \(0.142218\pi\) | ||||
−0.901838 | + | 0.432074i | \(0.857782\pi\) | |||||||
\(878\) | 5.37390 | + | 3.10262i | 0.181360 | + | 0.104708i | ||||
\(879\) | −22.7266 | + | 3.22179i | −0.766548 | + | 0.108668i | ||||
\(880\) | − | 12.1203i | − | 0.408575i | ||||||
\(881\) | 9.90378 | − | 17.1539i | 0.333667 | − | 0.577928i | −0.649561 | − | 0.760310i | \(-0.725047\pi\) |
0.983228 | + | 0.182381i | \(0.0583806\pi\) | |||||||
\(882\) | −17.0793 | + | 12.2187i | −0.575090 | + | 0.411425i | ||||
\(883\) | −25.8694 | −0.870576 | −0.435288 | − | 0.900291i | \(-0.643353\pi\) | ||||
−0.435288 | + | 0.900291i | \(0.643353\pi\) | |||||||
\(884\) | 10.6627 | − | 5.62303i | 0.358625 | − | 0.189123i | ||||
\(885\) | −2.32436 | − | 16.3961i | −0.0781326 | − | 0.551149i | ||||
\(886\) | − | 6.32528i | − | 0.212502i | ||||||
\(887\) | 23.7947 | + | 41.2136i | 0.798947 | + | 1.38382i | 0.920302 | + | 0.391208i | \(0.127943\pi\) |
−0.121355 | + | 0.992609i | \(0.538724\pi\) | |||||||
\(888\) | −4.40734 | + | 0.624799i | −0.147901 | + | 0.0209669i | ||||
\(889\) | 27.9547 | + | 33.6459i | 0.937569 | + | 1.12845i | ||||
\(890\) | −5.46888 | − | 9.47239i | −0.183317 | − | 0.317515i | ||||
\(891\) | −1.44032 | − | 36.2610i | −0.0482527 | − | 1.21479i | ||||
\(892\) | 0.696107 | + | 1.20569i | 0.0233074 | + | 0.0403696i | ||||
\(893\) | −29.6585 | − | 17.1233i | −0.992483 | − | 0.573010i | ||||
\(894\) | −2.40144 | − | 16.9398i | −0.0803160 | − | 0.566551i | ||||
\(895\) | −16.0757 | + | 27.8439i | −0.537350 | + | 0.930718i | ||||
\(896\) | 2.60776 | − | 0.446759i | 0.0871191 | − | 0.0149252i | ||||
\(897\) | 1.58573 | + | 15.4137i | 0.0529460 | + | 0.514647i | ||||
\(898\) | 17.8544 | − | 30.9247i | 0.595809 | − | 1.03197i | ||||
\(899\) | 25.6089i | 0.854103i | ||||||||
\(900\) | −8.72862 | − | 8.38879i | −0.290954 | − | 0.279626i | ||||
\(901\) | − | 32.8263i | − | 1.09360i | ||||||
\(902\) | − | 29.3164i | − | 0.976128i | ||||||
\(903\) | 20.0379 | + | 4.33596i | 0.666820 | + | 0.144292i | ||||
\(904\) | −12.1559 | + | 7.01820i | −0.404299 | + | 0.233422i | ||||
\(905\) | 23.8819 | − | 41.3647i | 0.793861 | − | 1.37501i | ||||
\(906\) | −5.84721 | − | 7.46563i | −0.194261 | − | 0.248029i | ||||
\(907\) | 27.2778 | 0.905744 | 0.452872 | − | 0.891575i | \(-0.350399\pi\) | ||||
0.452872 | + | 0.891575i | \(0.350399\pi\) | |||||||
\(908\) | −6.27057 | + | 3.62031i | −0.208096 | + | 0.120144i | ||||
\(909\) | −28.2557 | − | 27.1557i | −0.937183 | − | 0.900696i | ||||
\(910\) | 10.9609 | − | 26.4968i | 0.363350 | − | 0.878361i | ||||
\(911\) | 6.68687i | 0.221546i | 0.993846 | + | 0.110773i | \(0.0353326\pi\) | ||||
−0.993846 | + | 0.110773i | \(0.964667\pi\) | |||||||
\(912\) | 1.24900 | + | 8.81045i | 0.0413584 | + | 0.291743i | ||||
\(913\) | 51.0462i | 1.68938i | ||||||||
\(914\) | 1.99963 | + | 1.15448i | 0.0661417 | + | 0.0381870i | ||||
\(915\) | −27.3210 | + | 21.3983i | −0.903204 | + | 0.707405i | ||||
\(916\) | −12.0113 | − | 20.8043i | −0.396866 | − | 0.687392i | ||||
\(917\) | −14.1569 | − | 17.0391i | −0.467502 | − | 0.562680i | ||||
\(918\) | 7.12301 | + | 15.8450i | 0.235094 | + | 0.522962i | ||||
\(919\) | 39.9654 | 1.31834 | 0.659168 | − | 0.751996i | \(-0.270909\pi\) | ||||
0.659168 | + | 0.751996i | \(0.270909\pi\) | |||||||
\(920\) | −7.45819 | −0.245889 | ||||||||
\(921\) | 32.5938 | + | 13.1233i | 1.07400 | + | 0.432429i | ||||
\(922\) | 30.3853 | + | 17.5430i | 1.00069 | + | 0.577747i | ||||
\(923\) | −2.78419 | + | 1.46826i | −0.0916428 | + | 0.0483283i | ||||
\(924\) | 5.64554 | + | 17.5942i | 0.185725 | + | 0.578806i | ||||
\(925\) | −8.98162 | − | 5.18554i | −0.295314 | − | 0.170500i | ||||
\(926\) | −29.5100 | + | 17.0376i | −0.969758 | + | 0.559890i | ||||
\(927\) | 14.3062 | + | 49.4440i | 0.469877 | + | 1.62396i | ||||
\(928\) | −3.74921 | + | 2.16461i | −0.123074 | + | 0.0710567i | ||||
\(929\) | − | 15.8930i | − | 0.521434i | −0.965415 | − | 0.260717i | \(-0.916041\pi\) | ||
0.965415 | − | 0.260717i | \(-0.0839589\pi\) | |||||||
\(930\) | −30.4926 | + | 4.32273i | −0.999893 | + | 0.141748i | ||||
\(931\) | 27.3232 | + | 23.3833i | 0.895483 | + | 0.766358i | ||||
\(932\) | 3.29311 | − | 1.90128i | 0.107869 | − | 0.0622785i | ||||
\(933\) | 3.91653 | + | 27.6273i | 0.128221 | + | 0.904476i | ||||
\(934\) | −35.5801 | −1.16422 | ||||||||
\(935\) | −35.0931 | + | 20.2610i | −1.14767 | + | 0.662606i | ||||
\(936\) | −7.78839 | + | 7.50607i | −0.254571 | + | 0.245343i | ||||
\(937\) | 43.8201i | 1.43154i | 0.698336 | + | 0.715770i | \(0.253924\pi\) | ||||
−0.698336 | + | 0.715770i | \(0.746076\pi\) | |||||||
\(938\) | 3.63687 | + | 21.2286i | 0.118748 | + | 0.693138i | ||||
\(939\) | −29.2032 | − | 37.2862i | −0.953011 | − | 1.21679i | ||||
\(940\) | 20.0370 | 0.653536 | ||||||||
\(941\) | −8.41134 | + | 4.85629i | −0.274202 | + | 0.158311i | −0.630796 | − | 0.775949i | \(-0.717271\pi\) |
0.356594 | + | 0.934260i | \(0.383938\pi\) | |||||||
\(942\) | 9.48138 | + | 12.1057i | 0.308920 | + | 0.394424i | ||||
\(943\) | −18.0397 | −0.587454 | ||||||||
\(944\) | − | 3.18073i | − | 0.103524i | ||||||
\(945\) | 37.1190 | + | 18.1623i | 1.20748 | + | 0.590821i | ||||
\(946\) | 9.01964 | − | 15.6225i | 0.293254 | − | 0.507931i | ||||
\(947\) | 15.9309 | + | 27.5932i | 0.517686 | + | 0.896658i | 0.999789 | + | 0.0205436i | \(0.00653969\pi\) |
−0.482103 | + | 0.876114i | \(0.660127\pi\) | |||||||
\(948\) | 4.13519 | + | 29.1697i | 0.134305 | + | 0.947389i | ||||
\(949\) | −43.2903 | + | 22.8294i | −1.40526 | + | 0.741072i | ||||
\(950\) | −10.3661 | + | 17.9546i | −0.336321 | + | 0.582525i | ||||
\(951\) | 35.7138 | − | 27.9717i | 1.15810 | − | 0.907044i | ||||
\(952\) | −5.65283 | − | 6.80368i | −0.183209 | − | 0.220508i | ||||
\(953\) | 6.47475 | − | 3.73820i | 0.209738 | − | 0.121092i | −0.391452 | − | 0.920199i | \(-0.628027\pi\) |
0.601190 | + | 0.799106i | \(0.294694\pi\) | |||||||
\(954\) | 8.18685 | + | 28.2948i | 0.265059 | + | 0.916078i | ||||
\(955\) | 25.9098 | − | 44.8771i | 0.838421 | − | 1.45219i | ||||
\(956\) | −4.38575 | + | 7.59635i | −0.141845 | + | 0.245683i | ||||
\(957\) | −18.6430 | − | 23.8031i | −0.602644 | − | 0.769446i | ||||
\(958\) | 6.44067 | − | 3.71852i | 0.208089 | − | 0.120140i | ||||
\(959\) | 35.3153 | + | 42.5050i | 1.14039 | + | 1.37256i | ||||
\(960\) | −3.21027 | − | 4.09883i | −0.103611 | − | 0.132289i | ||||
\(961\) | −1.99573 | + | 3.45671i | −0.0643785 | + | 0.111507i | ||||
\(962\) | −4.93711 | + | 7.84157i | −0.159179 | + | 0.252822i | ||||
\(963\) | −5.89376 | − | 1.45448i | −0.189924 | − | 0.0468701i | ||||
\(964\) | 2.83347 | + | 4.90771i | 0.0912599 | + | 0.158067i | ||||
\(965\) | 18.8016 | − | 32.5653i | 0.605244 | − | 1.04831i | ||||
\(966\) | 10.8265 | − | 3.47397i | 0.348338 | − | 0.111773i | ||||
\(967\) | 8.01618i | 0.257783i | 0.991659 | + | 0.128891i | \(0.0411419\pi\) | ||||
−0.991659 | + | 0.128891i | \(0.958858\pi\) | |||||||
\(968\) | 5.25845 | 0.169013 | ||||||||
\(969\) | 23.4219 | − | 18.3444i | 0.752420 | − | 0.589308i | ||||
\(970\) | 5.76219 | − | 3.32680i | 0.185013 | − | 0.106817i | ||||
\(971\) | −36.2752 | −1.16413 | −0.582063 | − | 0.813144i | \(-0.697754\pi\) | ||||
−0.582063 | + | 0.813144i | \(0.697754\pi\) | |||||||
\(972\) | −10.0914 | − | 11.8812i | −0.323683 | − | 0.381090i | ||||
\(973\) | −6.42260 | − | 37.4891i | −0.205899 | − | 1.20184i | ||||
\(974\) | − | 17.9702i | − | 0.575803i | ||||||
\(975\) | −25.0688 | + | 2.57903i | −0.802844 | + | 0.0825952i | ||||
\(976\) | −5.77255 | + | 3.33278i | −0.184775 | + | 0.106680i | ||||
\(977\) | 7.00306 | 0.224048 | 0.112024 | − | 0.993706i | \(-0.464267\pi\) | ||||
0.112024 | + | 0.993706i | \(0.464267\pi\) | |||||||
\(978\) | −9.41259 | + | 1.33436i | −0.300981 | + | 0.0426681i | ||||
\(979\) | 12.7065 | − | 7.33609i | 0.406101 | − | 0.234462i | ||||
\(980\) | −20.6851 | − | 3.85505i | −0.660761 | − | 0.123145i | ||||
\(981\) | 40.3155 | + | 9.94920i | 1.28717 | + | 0.317653i | ||||
\(982\) | 2.96735i | 0.0946920i | ||||||||
\(983\) | −27.4636 | + | 15.8561i | −0.875954 | + | 0.505732i | −0.869322 | − | 0.494246i | \(-0.835444\pi\) |
−0.00663162 | + | 0.999978i | \(0.502111\pi\) | |||||||
\(984\) | −7.76494 | − | 9.91416i | −0.247537 | − | 0.316052i | ||||
\(985\) | 27.6280 | − | 15.9510i | 0.880302 | − | 0.508243i | ||||
\(986\) | 12.5348 | + | 7.23698i | 0.399190 | + | 0.230472i | ||||
\(987\) | −29.0864 | + | 9.33309i | −0.925829 | + | 0.297076i | ||||
\(988\) | 15.6756 | + | 9.86948i | 0.498707 | + | 0.313990i | ||||
\(989\) | −9.61325 | − | 5.55021i | −0.305683 | − | 0.176486i | ||||
\(990\) | 25.1956 | − | 26.2163i | 0.800770 | − | 0.833209i | ||||
\(991\) | −5.07753 | −0.161293 | −0.0806465 | − | 0.996743i | \(-0.525698\pi\) | ||||
−0.0806465 | + | 0.996743i | \(0.525698\pi\) | |||||||
\(992\) | −5.91536 | −0.187813 | ||||||||
\(993\) | −8.77250 | + | 21.7878i | −0.278387 | + | 0.691416i | ||||
\(994\) | 1.47604 | + | 1.77655i | 0.0468172 | + | 0.0563486i | ||||
\(995\) | −11.3987 | − | 19.7431i | −0.361362 | − | 0.625897i | ||||
\(996\) | 13.5205 | + | 17.2627i | 0.428413 | + | 0.546991i | ||||
\(997\) | −31.2912 | − | 18.0660i | −0.991003 | − | 0.572156i | −0.0854291 | − | 0.996344i | \(-0.527226\pi\) |
−0.905574 | + | 0.424188i | \(0.860559\pi\) | |||||||
\(998\) | 16.7232i | 0.529362i | ||||||||
\(999\) | −10.8320 | − | 7.81053i | −0.342708 | − | 0.247114i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 546.2.bn.e.173.15 | yes | 34 | |
3.2 | odd | 2 | 546.2.bn.f.173.3 | yes | 34 | ||
7.3 | odd | 6 | 546.2.bi.f.17.8 | yes | 34 | ||
13.10 | even | 6 | 546.2.bi.e.257.3 | yes | 34 | ||
21.17 | even | 6 | 546.2.bi.e.17.3 | ✓ | 34 | ||
39.23 | odd | 6 | 546.2.bi.f.257.8 | yes | 34 | ||
91.10 | odd | 6 | 546.2.bn.f.101.3 | yes | 34 | ||
273.101 | even | 6 | inner | 546.2.bn.e.101.15 | yes | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bi.e.17.3 | ✓ | 34 | 21.17 | even | 6 | ||
546.2.bi.e.257.3 | yes | 34 | 13.10 | even | 6 | ||
546.2.bi.f.17.8 | yes | 34 | 7.3 | odd | 6 | ||
546.2.bi.f.257.8 | yes | 34 | 39.23 | odd | 6 | ||
546.2.bn.e.101.15 | yes | 34 | 273.101 | even | 6 | inner | |
546.2.bn.e.173.15 | yes | 34 | 1.1 | even | 1 | trivial | |
546.2.bn.f.101.3 | yes | 34 | 91.10 | odd | 6 | ||
546.2.bn.f.173.3 | yes | 34 | 3.2 | odd | 2 |