Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [585,2,Mod(289,585)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(585, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("585.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 585 = 3^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 585.bs (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: | \(4.67124851824\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 195) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 289.11 | ||
Character | \(\chi\) | \(=\) | 585.289 |
Dual form | 585.2.bs.b.334.11 |
$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) | \(496\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.85914 | − | 1.07337i | 1.31461 | − | 0.758989i | 0.331752 | − | 0.943366i | \(-0.392360\pi\) |
0.982856 | + | 0.184377i | \(0.0590268\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.30426 | − | 2.25904i | 0.652130 | − | 1.12952i | ||||
\(5\) | 2.16557 | − | 0.557052i | 0.968472 | − | 0.249121i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.635729 | − | 0.367038i | −0.240283 | − | 0.138727i | 0.375024 | − | 0.927015i | \(-0.377635\pi\) |
−0.615307 | + | 0.788288i | \(0.710968\pi\) | |||||||
\(8\) | − | 1.30633i | − | 0.461859i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.42817 | − | 3.36010i | 1.08408 | − | 1.06256i | ||||
\(11\) | 0.110220 | + | 0.190906i | 0.0332325 | + | 0.0575603i | 0.882163 | − | 0.470944i | \(-0.156086\pi\) |
−0.848931 | + | 0.528504i | \(0.822753\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.632595 | − | 3.54962i | 0.175450 | − | 0.984488i | ||||
\(14\) | −1.57588 | −0.421171 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.20633 | + | 2.08943i | 0.301584 | + | 0.522358i | ||||
\(17\) | 0.710116 | + | 0.409986i | 0.172228 | + | 0.0994361i | 0.583636 | − | 0.812015i | \(-0.301629\pi\) |
−0.411408 | + | 0.911451i | \(0.634963\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.61059 | − | 2.78963i | 0.369495 | − | 0.639985i | −0.619991 | − | 0.784609i | \(-0.712864\pi\) |
0.989487 | + | 0.144624i | \(0.0461972\pi\) | |||||||
\(20\) | 1.56606 | − | 5.61866i | 0.350182 | − | 1.25637i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.409827 | + | 0.236613i | 0.0873753 | + | 0.0504462i | ||||
\(23\) | −6.92086 | + | 3.99576i | −1.44310 | + | 0.833174i | −0.998055 | − | 0.0623347i | \(-0.980145\pi\) |
−0.445044 | + | 0.895509i | \(0.646812\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.37939 | − | 2.41267i | 0.875877 | − | 0.482534i | ||||
\(26\) | −2.63399 | − | 7.27824i | −0.516568 | − | 1.42738i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.65831 | + | 0.957426i | −0.313391 | + | 0.180937i | ||||
\(29\) | 1.51840 | + | 2.62994i | 0.281959 | + | 0.488367i | 0.971867 | − | 0.235530i | \(-0.0756824\pi\) |
−0.689908 | + | 0.723897i | \(0.742349\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.27667 | −0.947718 | −0.473859 | − | 0.880601i | \(-0.657139\pi\) | ||||
−0.473859 | + | 0.880601i | \(0.657139\pi\) | |||||||
\(32\) | 6.74812 | + | 3.89603i | 1.19291 | + | 0.688727i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.76027 | 0.301884 | ||||||||
\(35\) | −1.58117 | − | 0.440713i | −0.267267 | − | 0.0744941i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.44748 | + | 2.56775i | −0.731161 | + | 0.422136i | −0.818847 | − | 0.574012i | \(-0.805386\pi\) |
0.0876857 | + | 0.996148i | \(0.472053\pi\) | |||||||
\(38\) | − | 6.91507i | − | 1.12177i | ||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.727696 | − | 2.82896i | −0.115059 | − | 0.447297i | ||||
\(41\) | 5.87981 | + | 10.1841i | 0.918273 | + | 1.59050i | 0.802038 | + | 0.597273i | \(0.203749\pi\) |
0.116235 | + | 0.993222i | \(0.462917\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.62010 | − | 2.66741i | −0.704558 | − | 0.406777i | 0.104485 | − | 0.994526i | \(-0.466681\pi\) |
−0.809043 | + | 0.587750i | \(0.800014\pi\) | |||||||
\(44\) | 0.575020 | 0.0866875 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −8.57789 | + | 14.8573i | −1.26474 | + | 2.19059i | ||||
\(47\) | − | 5.80713i | − | 0.847057i | −0.905883 | − | 0.423528i | \(-0.860791\pi\) | ||
0.905883 | − | 0.423528i | \(-0.139209\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.23057 | − | 5.59550i | −0.461509 | − | 0.799358i | ||||
\(50\) | 5.55218 | − | 9.18620i | 0.785197 | − | 1.29912i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.19368 | − | 6.05869i | −0.997584 | − | 0.840189i | ||||
\(53\) | 4.27058i | 0.586610i | 0.956019 | + | 0.293305i | \(0.0947551\pi\) | ||||
−0.956019 | + | 0.293305i | \(0.905245\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.345033 | + | 0.352022i | 0.0465242 | + | 0.0474667i | ||||
\(56\) | −0.479475 | + | 0.830474i | −0.0640725 | + | 0.110977i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.64581 | + | 3.25961i | 0.741331 | + | 0.428008i | ||||
\(59\) | −1.08650 | + | 1.88188i | −0.141451 | + | 0.245000i | −0.928043 | − | 0.372473i | \(-0.878510\pi\) |
0.786592 | + | 0.617473i | \(0.211843\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.03816 | + | 10.4584i | −0.773107 | + | 1.33906i | 0.162745 | + | 0.986668i | \(0.447965\pi\) |
−0.935852 | + | 0.352393i | \(0.885368\pi\) | |||||||
\(62\) | −9.81005 | + | 5.66383i | −1.24588 | + | 0.719308i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 11.9022 | 1.48778 | ||||||||
\(65\) | −0.607395 | − | 8.03935i | −0.0753381 | − | 0.997158i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.38164 | − | 0.797691i | 0.168794 | − | 0.0974535i | −0.413223 | − | 0.910630i | \(-0.635597\pi\) |
0.582017 | + | 0.813176i | \(0.302264\pi\) | |||||||
\(68\) | 1.85235 | − | 1.06945i | 0.224630 | − | 0.129690i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.41267 | + | 0.877845i | −0.407892 | + | 0.104922i | ||||
\(71\) | −4.41778 | + | 7.65181i | −0.524294 | + | 0.908103i | 0.475306 | + | 0.879820i | \(0.342337\pi\) |
−0.999600 | + | 0.0282829i | \(0.990996\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 7.86235i | − | 0.920218i | −0.887862 | − | 0.460109i | \(-0.847810\pi\) | ||
0.887862 | − | 0.460109i | \(-0.152190\pi\) | |||||||
\(74\) | −5.51231 | + | 9.54761i | −0.640794 | + | 1.10989i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.20126 | − | 7.27680i | −0.481918 | − | 0.834706i | ||||
\(77\) | − | 0.161819i | − | 0.0184410i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 13.9175 | 1.56585 | 0.782923 | − | 0.622118i | \(-0.213728\pi\) | ||||
0.782923 | + | 0.622118i | \(0.213728\pi\) | |||||||
\(80\) | 3.77632 | + | 3.85282i | 0.422206 | + | 0.430759i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 21.8628 | + | 12.6225i | 2.41434 | + | 1.39392i | ||||
\(83\) | − | 4.38199i | − | 0.480986i | −0.970651 | − | 0.240493i | \(-0.922691\pi\) | ||
0.970651 | − | 0.240493i | \(-0.0773091\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.76619 | + | 0.492281i | 0.191570 | + | 0.0533954i | ||||
\(86\) | −11.4525 | −1.23496 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.249387 | − | 0.143984i | 0.0265847 | − | 0.0153487i | ||||
\(89\) | −2.16344 | − | 3.74719i | −0.229324 | − | 0.397201i | 0.728284 | − | 0.685276i | \(-0.240318\pi\) |
−0.957608 | + | 0.288074i | \(0.906985\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.70501 | + | 2.02441i | −0.178733 | + | 0.212216i | ||||
\(92\) | 20.8460i | 2.17335i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −6.23322 | − | 10.7962i | −0.642907 | − | 1.11355i | ||||
\(95\) | 1.93388 | − | 6.93832i | 0.198412 | − | 0.711857i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 7.48331 | + | 4.32049i | 0.759815 | + | 0.438679i | 0.829229 | − | 0.558908i | \(-0.188780\pi\) |
−0.0694143 | + | 0.997588i | \(0.522113\pi\) | |||||||
\(98\) | −12.0121 | − | 6.93520i | −1.21341 | − | 0.700561i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.261531 | − | 13.0400i | 0.0261531 | − | 1.30400i | ||||
\(101\) | 2.86187 | + | 4.95690i | 0.284766 | + | 0.493230i | 0.972552 | − | 0.232684i | \(-0.0747507\pi\) |
−0.687786 | + | 0.725913i | \(0.741417\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 7.85100i | 0.773582i | 0.922167 | + | 0.386791i | \(0.126417\pi\) | ||||
−0.922167 | + | 0.386791i | \(0.873583\pi\) | |||||||
\(104\) | −4.63699 | − | 0.826381i | −0.454695 | − | 0.0810333i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.58393 | + | 7.93960i | 0.445230 | + | 0.771162i | ||||
\(107\) | −10.1208 | + | 5.84322i | −0.978411 | + | 0.564886i | −0.901790 | − | 0.432175i | \(-0.857746\pi\) |
−0.0766207 | + | 0.997060i | \(0.524413\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −13.2496 | −1.26908 | −0.634541 | − | 0.772889i | \(-0.718811\pi\) | ||||
−0.634541 | + | 0.772889i | \(0.718811\pi\) | |||||||
\(110\) | 1.01931 | + | 0.284108i | 0.0971878 | + | 0.0270887i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | − | 1.77108i | − | 0.167352i | ||||||
\(113\) | 13.0045 | + | 7.50816i | 1.22336 | + | 0.706309i | 0.965633 | − | 0.259908i | \(-0.0836924\pi\) |
0.257729 | + | 0.966217i | \(0.417026\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.7618 | + | 12.5084i | −1.19004 | + | 1.16641i | ||||
\(116\) | 7.92153 | 0.735495 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 4.66489i | 0.429438i | ||||||||
\(119\) | −0.300961 | − | 0.521279i | −0.0275890 | − | 0.0477856i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.47570 | − | 9.48420i | 0.497791 | − | 0.862200i | ||||
\(122\) | 25.9248i | 2.34712i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −6.88214 | + | 11.9202i | −0.618035 | + | 1.07047i | ||||
\(125\) | 8.13989 | − | 7.66435i | 0.728054 | − | 0.685520i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.4827 | + | 8.93894i | −1.37387 | + | 0.793203i | −0.991413 | − | 0.130771i | \(-0.958255\pi\) |
−0.382455 | + | 0.923974i | \(0.624921\pi\) | |||||||
\(128\) | 8.63163 | − | 4.98347i | 0.762935 | − | 0.440481i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −9.75845 | − | 14.2943i | −0.855872 | − | 1.25369i | ||||
\(131\) | −8.13522 | −0.710778 | −0.355389 | − | 0.934719i | \(-0.615652\pi\) | ||||
−0.355389 | + | 0.934719i | \(0.615652\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.04780 | + | 1.18230i | −0.177567 | + | 0.102518i | ||||
\(134\) | 1.71244 | − | 2.96603i | 0.147932 | − | 0.256226i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.535578 | − | 0.927648i | 0.0459254 | − | 0.0795452i | ||||
\(137\) | −9.22293 | − | 5.32486i | −0.787968 | − | 0.454933i | 0.0512789 | − | 0.998684i | \(-0.483670\pi\) |
−0.839247 | + | 0.543751i | \(0.817004\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.23172 | − | 2.13340i | 0.104473 | − | 0.180953i | −0.809050 | − | 0.587740i | \(-0.800018\pi\) |
0.913523 | + | 0.406787i | \(0.133351\pi\) | |||||||
\(140\) | −3.05785 | + | 2.99714i | −0.258436 | + | 0.253304i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 18.9677i | 1.59173i | ||||||||
\(143\) | 0.747369 | − | 0.270472i | 0.0624981 | − | 0.0226180i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.75320 | + | 4.84949i | 0.394732 | + | 0.402728i | ||||
\(146\) | −8.43923 | − | 14.6172i | −0.698436 | − | 1.20973i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 13.3961i | 1.10115i | ||||||||
\(149\) | 8.15299 | − | 14.1214i | 0.667919 | − | 1.15687i | −0.310566 | − | 0.950552i | \(-0.600518\pi\) |
0.978485 | − | 0.206318i | \(-0.0661482\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 21.1259 | 1.71920 | 0.859602 | − | 0.510964i | \(-0.170711\pi\) | ||||
0.859602 | + | 0.510964i | \(0.170711\pi\) | |||||||
\(152\) | −3.64419 | − | 2.10397i | −0.295583 | − | 0.170655i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.173692 | − | 0.300844i | −0.0139965 | − | 0.0242427i | ||||
\(155\) | −11.4270 | + | 2.93938i | −0.917838 | + | 0.236097i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 17.3604i | − | 1.38551i | −0.721173 | − | 0.692755i | \(-0.756397\pi\) | ||
0.721173 | − | 0.692755i | \(-0.243603\pi\) | |||||||
\(158\) | 25.8746 | − | 14.9387i | 2.05847 | − | 1.18846i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 16.7838 | + | 4.67807i | 1.32688 | + | 0.369834i | ||||
\(161\) | 5.86639 | 0.462336 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.80671 | − | 3.92986i | −0.533143 | − | 0.307810i | 0.209153 | − | 0.977883i | \(-0.432929\pi\) |
−0.742295 | + | 0.670073i | \(0.766263\pi\) | |||||||
\(164\) | 30.6752 | 2.39533 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.70351 | − | 8.14672i | −0.365063 | − | 0.632308i | ||||
\(167\) | −1.69535 | + | 0.978812i | −0.131190 | + | 0.0757428i | −0.564159 | − | 0.825666i | \(-0.690799\pi\) |
0.432969 | + | 0.901409i | \(0.357466\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.1996 | − | 4.49095i | −0.938434 | − | 0.345458i | ||||
\(170\) | 3.81199 | − | 0.980562i | 0.292366 | − | 0.0752056i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −12.0516 | + | 6.95800i | −0.918926 | + | 0.530542i | ||||
\(173\) | 17.9850 | + | 10.3837i | 1.36738 | + | 0.789456i | 0.990593 | − | 0.136845i | \(-0.0436961\pi\) |
0.376785 | + | 0.926301i | \(0.377029\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.66964 | − | 0.0735987i | −0.277399 | − | 0.00556354i | ||||
\(176\) | −0.265923 | + | 0.460593i | −0.0200447 | + | 0.0347185i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.04426 | − | 4.64436i | −0.602943 | − | 0.348109i | ||||
\(179\) | −12.8863 | − | 22.3197i | −0.963166 | − | 1.66825i | −0.714465 | − | 0.699671i | \(-0.753330\pi\) |
−0.248701 | − | 0.968580i | \(-0.580004\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.8750 | −0.882659 | −0.441329 | − | 0.897345i | \(-0.645493\pi\) | ||||
−0.441329 | + | 0.897345i | \(0.645493\pi\) | |||||||
\(182\) | −0.996891 | + | 5.59377i | −0.0738945 | + | 0.414637i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 5.21980 | + | 9.04096i | 0.384809 | + | 0.666508i | ||||
\(185\) | −8.20096 | + | 8.03813i | −0.602946 | + | 0.590975i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.180754i | 0.0132180i | ||||||||
\(188\) | −13.1186 | − | 7.57400i | −0.956769 | − | 0.552391i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.85205 | − | 14.9751i | −0.279457 | − | 1.08641i | ||||
\(191\) | 10.9611 | − | 18.9852i | 0.793120 | − | 1.37372i | −0.130907 | − | 0.991395i | \(-0.541789\pi\) |
0.924026 | − | 0.382329i | \(-0.124878\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 18.0972 | − | 10.4484i | 1.30267 | − | 0.752095i | 0.321806 | − | 0.946806i | \(-0.395710\pi\) |
0.980861 | + | 0.194711i | \(0.0623768\pi\) | |||||||
\(194\) | 18.5500 | 1.33181 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −16.8540 | −1.20386 | ||||||||
\(197\) | 3.28615 | − | 1.89726i | 0.234129 | − | 0.135174i | −0.378347 | − | 0.925664i | \(-0.623507\pi\) |
0.612475 | + | 0.790490i | \(0.290174\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.193666 | + | 0.335440i | −0.0137286 | + | 0.0237787i | −0.872808 | − | 0.488064i | \(-0.837703\pi\) |
0.859079 | + | 0.511842i | \(0.171037\pi\) | |||||||
\(200\) | −3.15175 | − | 5.72094i | −0.222862 | − | 0.404532i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 10.6412 | + | 6.14370i | 0.748712 | + | 0.432269i | ||||
\(203\) | − | 2.22924i | − | 0.156462i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 18.4062 | + | 18.7791i | 1.28555 | + | 1.31159i | ||||
\(206\) | 8.42705 | + | 14.5961i | 0.587141 | + | 1.01696i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 8.17982 | − | 2.96027i | 0.567169 | − | 0.205258i | ||||
\(209\) | 0.710076 | 0.0491170 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.52279 | − | 7.83370i | −0.311362 | − | 0.539294i | 0.667296 | − | 0.744793i | \(-0.267452\pi\) |
−0.978657 | + | 0.205499i | \(0.934118\pi\) | |||||||
\(212\) | 9.64743 | + | 5.56995i | 0.662588 | + | 0.382545i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −12.5439 | + | 21.7267i | −0.857484 | + | 1.48521i | ||||
\(215\) | −11.4910 | − | 3.20284i | −0.783682 | − | 0.218432i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 3.35453 | + | 1.93674i | 0.227720 | + | 0.131474i | ||||
\(218\) | −24.6328 | + | 14.2218i | −1.66835 | + | 0.963220i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.24525 | − | 0.320316i | 0.0839544 | − | 0.0215957i | ||||
\(221\) | 1.90451 | − | 2.26129i | 0.128111 | − | 0.152111i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 12.4345 | − | 7.17903i | 0.832672 | − | 0.480744i | −0.0220944 | − | 0.999756i | \(-0.507033\pi\) |
0.854767 | + | 0.519012i | \(0.173700\pi\) | |||||||
\(224\) | −2.85998 | − | 4.95364i | −0.191091 | − | 0.330979i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 32.2362 | 2.14432 | ||||||||
\(227\) | 21.4099 | + | 12.3610i | 1.42102 | + | 0.820429i | 0.996387 | − | 0.0849341i | \(-0.0270680\pi\) |
0.424638 | + | 0.905363i | \(0.360401\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.20021 | 0.0793124 | 0.0396562 | − | 0.999213i | \(-0.487374\pi\) | ||||
0.0396562 | + | 0.999213i | \(0.487374\pi\) | |||||||
\(230\) | −10.2997 | + | 36.9529i | −0.679142 | + | 2.43660i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.43558 | − | 1.98353i | 0.225557 | − | 0.130225i | ||||
\(233\) | − | 20.5107i | − | 1.34370i | −0.740687 | − | 0.671851i | \(-0.765500\pi\) | ||
0.740687 | − | 0.671851i | \(-0.234500\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −3.23487 | − | 12.5757i | −0.211020 | − | 0.820351i | ||||
\(236\) | 2.83416 | + | 4.90892i | 0.184488 | + | 0.319543i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.11905 | − | 0.646086i | −0.0725375 | − | 0.0418796i | ||||
\(239\) | −29.0377 | −1.87829 | −0.939146 | − | 0.343518i | \(-0.888381\pi\) | ||||
−0.939146 | + | 0.343518i | \(0.888381\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.22083 | − | 12.5068i | 0.465134 | − | 0.805636i | −0.534073 | − | 0.845438i | \(-0.679339\pi\) |
0.999208 | + | 0.0398019i | \(0.0126727\pi\) | |||||||
\(242\) | − | 23.5099i | − | 1.51127i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 15.7507 | + | 27.2809i | 1.00833 | + | 1.74648i | ||||
\(245\) | −10.1130 | − | 10.3179i | −0.646096 | − | 0.659184i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.88328 | − | 7.48170i | −0.565229 | − | 0.476049i | ||||
\(248\) | 6.89309i | 0.437712i | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.90645 | − | 22.9862i | 0.436802 | − | 1.45378i | ||||
\(251\) | −2.57837 | + | 4.46587i | −0.162745 | + | 0.281883i | −0.935852 | − | 0.352392i | \(-0.885368\pi\) |
0.773107 | + | 0.634276i | \(0.218702\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.52563 | − | 0.880822i | −0.0959155 | − | 0.0553768i | ||||
\(254\) | −19.1896 | + | 33.2374i | −1.20406 | + | 2.08550i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.20398 | + | 2.08535i | −0.0752487 | + | 0.130335i | ||||
\(257\) | −8.13546 | + | 4.69701i | −0.507476 | + | 0.292991i | −0.731795 | − | 0.681524i | \(-0.761317\pi\) |
0.224320 | + | 0.974516i | \(0.427984\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.76986 | 0.234247 | ||||||||
\(260\) | −18.9534 | − | 9.11326i | −1.17544 | − | 0.565180i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.1245 | + | 8.73213i | −0.934394 | + | 0.539473i | ||||
\(263\) | −9.13306 | + | 5.27297i | −0.563168 | + | 0.325145i | −0.754416 | − | 0.656396i | \(-0.772080\pi\) |
0.191248 | + | 0.981542i | \(0.438747\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.37894 | + | 9.24824i | 0.146137 | + | 0.568115i | ||||
\(266\) | −2.53809 | + | 4.39611i | −0.155621 | + | 0.269543i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | − | 4.16158i | − | 0.254209i | ||||||
\(269\) | 8.87299 | − | 15.3685i | 0.540996 | − | 0.937032i | −0.457851 | − | 0.889029i | \(-0.651381\pi\) |
0.998847 | − | 0.0480034i | \(-0.0152858\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.64364 | − | 16.7033i | −0.585809 | − | 1.01465i | −0.994774 | − | 0.102101i | \(-0.967443\pi\) |
0.408965 | − | 0.912550i | \(-0.365890\pi\) | |||||||
\(272\) | 1.97832i | 0.119953i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −22.8622 | −1.38116 | ||||||||
\(275\) | 0.943287 | + | 0.570127i | 0.0568824 | + | 0.0343800i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.0045 | − | 5.77610i | −0.601112 | − | 0.347052i | 0.168367 | − | 0.985724i | \(-0.446151\pi\) |
−0.769479 | + | 0.638672i | \(0.779484\pi\) | |||||||
\(278\) | − | 5.28838i | − | 0.317176i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.575718 | + | 2.06554i | −0.0344058 | + | 0.123440i | ||||
\(281\) | −17.4749 | −1.04246 | −0.521232 | − | 0.853415i | \(-0.674528\pi\) | ||||
−0.521232 | + | 0.853415i | \(0.674528\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.4472 | + | 7.18642i | −0.739912 | + | 0.427188i | −0.822037 | − | 0.569434i | \(-0.807162\pi\) |
0.0821255 | + | 0.996622i | \(0.473829\pi\) | |||||||
\(284\) | 11.5239 | + | 19.9599i | 0.683815 | + | 1.18440i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.09914 | − | 1.30505i | 0.0649937 | − | 0.0771692i | ||||
\(287\) | − | 8.63247i | − | 0.509558i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.16382 | − | 14.1402i | −0.480225 | − | 0.831774i | ||||
\(290\) | 14.0422 | + | 3.91391i | 0.824585 | + | 0.229832i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −17.7614 | − | 10.2545i | −1.03941 | − | 0.600101i | ||||
\(293\) | −5.19452 | − | 2.99906i | −0.303467 | − | 0.175207i | 0.340532 | − | 0.940233i | \(-0.389393\pi\) |
−0.643999 | + | 0.765026i | \(0.722726\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.30460 | + | 4.68058i | −0.0759565 | + | 0.272514i | ||||
\(296\) | 3.35434 | + | 5.80989i | 0.194967 | + | 0.337693i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 35.0048i | − | 2.02777i | ||||||
\(299\) | 9.80534 | + | 27.0942i | 0.567058 | + | 1.56690i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.95809 | + | 3.39150i | 0.112862 | + | 0.195483i | ||||
\(302\) | 39.2760 | − | 22.6760i | 2.26008 | − | 1.30486i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.77166 | 0.445735 | ||||||||
\(305\) | −7.25019 | + | 26.0120i | −0.415145 | + | 1.48944i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.2035i | 0.753566i | 0.926301 | + | 0.376783i | \(0.122970\pi\) | ||||
−0.926301 | + | 0.376783i | \(0.877030\pi\) | |||||||
\(308\) | −0.365557 | − | 0.211054i | −0.0208295 | − | 0.0120259i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −18.0893 | + | 17.7301i | −1.02740 | + | 1.00700i | ||||
\(311\) | 19.1493 | 1.08586 | 0.542929 | − | 0.839779i | \(-0.317315\pi\) | ||||
0.542929 | + | 0.839779i | \(0.317315\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 22.9820i | 1.29902i | 0.760353 | + | 0.649510i | \(0.225026\pi\) | ||||
−0.760353 | + | 0.649510i | \(0.774974\pi\) | |||||||
\(314\) | −18.6342 | − | 32.2753i | −1.05159 | − | 1.82140i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 18.1521 | − | 31.4403i | 1.02113 | − | 1.76866i | ||||
\(317\) | − | 4.61063i | − | 0.258959i | −0.991582 | − | 0.129479i | \(-0.958669\pi\) | ||
0.991582 | − | 0.129479i | \(-0.0413306\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.334714 | + | 0.579742i | −0.0187404 | + | 0.0324593i | ||||
\(320\) | 25.7751 | − | 6.63016i | 1.44087 | − | 0.370637i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 10.9064 | − | 6.29682i | 0.607791 | − | 0.350908i | ||||
\(323\) | 2.28742 | − | 1.32064i | 0.127275 | − | 0.0734824i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.79369 | − | 17.0714i | −0.321376 | − | 0.946952i | ||||
\(326\) | −16.8728 | −0.934498 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 13.3039 | − | 7.68100i | 0.734584 | − | 0.424112i | ||||
\(329\) | −2.13144 | + | 3.69176i | −0.117510 | + | 0.203533i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.79252 | − | 6.56884i | 0.208456 | − | 0.361056i | −0.742772 | − | 0.669544i | \(-0.766490\pi\) |
0.951228 | + | 0.308488i | \(0.0998229\pi\) | |||||||
\(332\) | −9.89911 | − | 5.71525i | −0.543284 | − | 0.313665i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.10126 | + | 3.63949i | −0.114976 | + | 0.199144i | ||||
\(335\) | 2.54769 | − | 2.49710i | 0.139195 | − | 0.136431i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 10.1761i | − | 0.554329i | −0.960822 | − | 0.277165i | \(-0.910605\pi\) | ||
0.960822 | − | 0.277165i | \(-0.0893947\pi\) | |||||||
\(338\) | −27.5013 | + | 4.74548i | −1.49587 | + | 0.258120i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.41565 | − | 3.34783i | 0.185240 | − | 0.181562i | ||||
\(341\) | −0.581592 | − | 1.00735i | −0.0314950 | − | 0.0545509i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 9.88150i | 0.533551i | ||||||||
\(344\) | −3.48453 | + | 6.03539i | −0.187873 | + | 0.325406i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 44.5822 | 2.39675 | ||||||||
\(347\) | −11.3421 | − | 6.54836i | −0.608875 | − | 0.351534i | 0.163650 | − | 0.986518i | \(-0.447673\pi\) |
−0.772525 | + | 0.634984i | \(0.781007\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.08193 | + | 5.33806i | 0.164972 | + | 0.285740i | 0.936645 | − | 0.350279i | \(-0.113913\pi\) |
−0.771673 | + | 0.636019i | \(0.780580\pi\) | |||||||
\(350\) | −6.90137 | + | 3.80207i | −0.368894 | + | 0.203229i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.71767i | 0.0915524i | ||||||||
\(353\) | −3.04903 | + | 1.76036i | −0.162284 | + | 0.0936944i | −0.578942 | − | 0.815369i | \(-0.696534\pi\) |
0.416659 | + | 0.909063i | \(0.363201\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.30455 | + | 19.0315i | −0.281536 | + | 1.01009i | ||||
\(356\) | −11.2867 | −0.598196 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −47.9147 | − | 27.6636i | −2.53237 | − | 1.46206i | ||||
\(359\) | 10.0828 | 0.532152 | 0.266076 | − | 0.963952i | \(-0.414273\pi\) | ||||
0.266076 | + | 0.963952i | \(0.414273\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.31198 | + | 7.46857i | 0.226946 | + | 0.393083i | ||||
\(362\) | −22.0772 | + | 12.7463i | −1.16035 | + | 0.669929i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.34946 | + | 6.49204i | 0.123145 | + | 0.340275i | ||||
\(365\) | −4.37973 | − | 17.0265i | −0.229246 | − | 0.891206i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.16742 | − | 2.98341i | 0.269737 | − | 0.155733i | −0.359031 | − | 0.933326i | \(-0.616893\pi\) |
0.628768 | + | 0.777593i | \(0.283559\pi\) | |||||||
\(368\) | −16.6978 | − | 9.64045i | −0.870431 | − | 0.502543i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −6.61879 | + | 23.7467i | −0.344094 | + | 1.23453i | ||||
\(371\) | 1.56747 | − | 2.71493i | 0.0813788 | − | 0.140952i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 23.2753 | + | 13.4380i | 1.20515 | + | 0.695794i | 0.961696 | − | 0.274118i | \(-0.0883860\pi\) |
0.243455 | + | 0.969912i | \(0.421719\pi\) | |||||||
\(374\) | 0.194016 | + | 0.336046i | 0.0100323 | + | 0.0173765i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.58605 | −0.391221 | ||||||||
\(377\) | 10.2958 | − | 3.72605i | 0.530262 | − | 0.191901i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.26453 | − | 16.0466i | −0.475887 | − | 0.824261i | 0.523731 | − | 0.851884i | \(-0.324540\pi\) |
−0.999618 | + | 0.0276228i | \(0.991206\pi\) | |||||||
\(380\) | −13.1517 | − | 13.4181i | −0.674667 | − | 0.688334i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | − | 47.0615i | − | 2.40788i | ||||||
\(383\) | 22.9850 | + | 13.2704i | 1.17448 | + | 0.678085i | 0.954731 | − | 0.297472i | \(-0.0961434\pi\) |
0.219747 | + | 0.975557i | \(0.429477\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.0901417 | − | 0.350431i | −0.00459405 | − | 0.0178596i | ||||
\(386\) | 22.4301 | − | 38.8501i | 1.14166 | − | 1.97742i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 19.5204 | − | 11.2701i | 0.990996 | − | 0.572152i | ||||
\(389\) | 15.8937 | 0.805841 | 0.402920 | − | 0.915235i | \(-0.367995\pi\) | ||||
0.402920 | + | 0.915235i | \(0.367995\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.55282 | −0.331390 | ||||||||
\(392\) | −7.30960 | + | 4.22020i | −0.369190 | + | 0.213152i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.07294 | − | 7.05454i | 0.205192 | − | 0.355403i | ||||
\(395\) | 30.1394 | − | 7.75279i | 1.51648 | − | 0.390085i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 27.5216 | + | 15.8896i | 1.38127 | + | 0.797477i | 0.992310 | − | 0.123777i | \(-0.0395008\pi\) |
0.388961 | + | 0.921254i | \(0.372834\pi\) | |||||||
\(398\) | 0.831504i | 0.0416795i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 10.3241 | + | 6.23995i | 0.516206 | + | 0.311997i | ||||
\(401\) | −4.31681 | − | 7.47694i | −0.215571 | − | 0.373380i | 0.737878 | − | 0.674934i | \(-0.235828\pi\) |
−0.953449 | + | 0.301554i | \(0.902495\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.33800 | + | 18.7302i | −0.166277 | + | 0.933017i | ||||
\(404\) | 14.9305 | 0.742818 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.39280 | − | 4.14446i | −0.118753 | − | 0.205686i | ||||
\(407\) | −0.980399 | − | 0.566034i | −0.0485966 | − | 0.0280572i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.57277 | + | 11.3844i | −0.325003 | + | 0.562921i | −0.981513 | − | 0.191396i | \(-0.938699\pi\) |
0.656510 | + | 0.754317i | \(0.272032\pi\) | |||||||
\(410\) | 54.3767 | + | 15.1561i | 2.68547 | + | 0.748509i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 17.7357 | + | 10.2397i | 0.873778 | + | 0.504476i | ||||
\(413\) | 1.38144 | − | 0.797577i | 0.0679764 | − | 0.0392462i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.44100 | − | 9.48951i | −0.119824 | − | 0.465822i | ||||
\(416\) | 18.0983 | − | 21.4887i | 0.887340 | − | 1.05357i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.32013 | − | 0.762176i | 0.0645695 | − | 0.0372792i | ||||
\(419\) | −16.7664 | − | 29.0403i | −0.819093 | − | 1.41871i | −0.906351 | − | 0.422525i | \(-0.861144\pi\) |
0.0872581 | − | 0.996186i | \(-0.472190\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.4700 | 0.607749 | 0.303874 | − | 0.952712i | \(-0.401720\pi\) | ||||
0.303874 | + | 0.952712i | \(0.401720\pi\) | |||||||
\(422\) | −16.8170 | − | 9.70928i | −0.818637 | − | 0.472640i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.57881 | 0.270931 | ||||||||
\(425\) | 4.09903 | + | 0.0822105i | 0.198832 | + | 0.00398780i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 7.67727 | − | 4.43247i | 0.371529 | − | 0.214502i | ||||
\(428\) | 30.4843i | 1.47351i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −24.8012 | + | 6.37965i | −1.19602 | + | 0.307654i | ||||
\(431\) | 8.18051 | + | 14.1691i | 0.394041 | + | 0.682500i | 0.992978 | − | 0.118297i | \(-0.0377434\pi\) |
−0.598937 | + | 0.800796i | \(0.704410\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.4479 | − | 6.03208i | −0.502093 | − | 0.289883i | 0.227485 | − | 0.973782i | \(-0.426950\pi\) |
−0.729577 | + | 0.683898i | \(0.760283\pi\) | |||||||
\(434\) | 8.31538 | 0.399151 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −17.2809 | + | 29.9314i | −0.827606 | + | 1.43346i | ||||
\(437\) | 25.7422i | 1.23142i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −9.21872 | − | 15.9673i | −0.439986 | − | 0.762077i | 0.557702 | − | 0.830041i | \(-0.311683\pi\) |
−0.997688 | + | 0.0679637i | \(0.978350\pi\) | |||||||
\(440\) | 0.459858 | − | 0.450728i | 0.0219229 | − | 0.0214876i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 1.11354 | − | 6.24829i | 0.0529656 | − | 0.297201i | ||||
\(443\) | 7.40466i | 0.351806i | 0.984407 | + | 0.175903i | \(0.0562845\pi\) | ||||
−0.984407 | + | 0.175903i | \(0.943715\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.77246 | − | 6.90965i | −0.321045 | − | 0.327549i | ||||
\(446\) | 15.4116 | − | 26.6936i | 0.729759 | − | 1.26398i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −7.56659 | − | 4.36857i | −0.357488 | − | 0.206396i | ||||
\(449\) | −7.74065 | + | 13.4072i | −0.365304 | + | 0.632725i | −0.988825 | − | 0.149082i | \(-0.952368\pi\) |
0.623521 | + | 0.781807i | \(0.285702\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.29614 | + | 2.24498i | −0.0610329 | + | 0.105712i | ||||
\(452\) | 33.9225 | − | 19.5852i | 1.59558 | − | 0.921210i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 53.0719 | 2.49079 | ||||||||
\(455\) | −2.56461 | + | 5.33378i | −0.120231 | + | 0.250052i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 19.4185 | − | 11.2113i | 0.908358 | − | 0.524441i | 0.0284555 | − | 0.999595i | \(-0.490941\pi\) |
0.879902 | + | 0.475154i | \(0.157608\pi\) | |||||||
\(458\) | 2.23136 | − | 1.28828i | 0.104265 | − | 0.0601972i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 11.6123 | + | 45.1435i | 0.541427 | + | 2.10483i | ||||
\(461\) | −4.52049 | + | 7.82973i | −0.210540 | + | 0.364667i | −0.951884 | − | 0.306459i | \(-0.900856\pi\) |
0.741343 | + | 0.671126i | \(0.234189\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 38.6693i | 1.79711i | 0.438857 | + | 0.898557i | \(0.355383\pi\) | ||||
−0.438857 | + | 0.898557i | \(0.644617\pi\) | |||||||
\(464\) | −3.66339 | + | 6.34517i | −0.170068 | + | 0.294567i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −22.0156 | − | 38.1322i | −1.01986 | − | 1.76644i | ||||
\(467\) | − | 2.14046i | − | 0.0990485i | −0.998773 | − | 0.0495242i | \(-0.984229\pi\) | ||
0.998773 | − | 0.0495242i | \(-0.0157705\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.17113 | −0.0540779 | ||||||||
\(470\) | −19.5125 | − | 19.9078i | −0.900046 | − | 0.918278i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.45836 | + | 1.41934i | 0.113155 | + | 0.0653303i | ||||
\(473\) | − | 1.17600i | − | 0.0540728i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.322957 | − | 16.1027i | 0.0148183 | − | 0.738842i | ||||
\(476\) | −1.57012 | −0.0719665 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −53.9850 | + | 31.1683i | −2.46922 | + | 1.42560i | ||||
\(479\) | 1.18648 | + | 2.05505i | 0.0542118 | + | 0.0938975i | 0.891858 | − | 0.452316i | \(-0.149402\pi\) |
−0.837646 | + | 0.546213i | \(0.816069\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.30110 | + | 17.4112i | 0.287306 | + | 0.793883i | ||||
\(482\) | − | 31.0026i | − | 1.41213i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −14.2835 | − | 24.7397i | −0.649249 | − | 1.12453i | ||||
\(485\) | 18.6124 | + | 5.18773i | 0.845144 | + | 0.235563i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.772529 | + | 0.446020i | 0.0350066 | + | 0.0202111i | 0.517401 | − | 0.855743i | \(-0.326900\pi\) |
−0.482395 | + | 0.875954i | \(0.660233\pi\) | |||||||
\(488\) | 13.6622 | + | 7.88786i | 0.618457 | + | 0.357066i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −29.8764 | − | 8.32729i | −1.34968 | − | 0.376189i | ||||
\(491\) | 11.1110 | + | 19.2448i | 0.501432 | + | 0.868506i | 0.999999 | + | 0.00165479i | \(0.000526736\pi\) |
−0.498566 | + | 0.866852i | \(0.666140\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.49008i | 0.112148i | ||||||||
\(494\) | −24.5459 | − | 4.37444i | −1.10437 | − | 0.196815i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.36543 | − | 11.0252i | −0.285816 | − | 0.495048i | ||||
\(497\) | 5.61702 | − | 3.24299i | 0.251958 | − | 0.145468i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.17294 | 0.365871 | 0.182936 | − | 0.983125i | \(-0.441440\pi\) | ||||
0.182936 | + | 0.983125i | \(0.441440\pi\) | |||||||
\(500\) | −6.69757 | − | 28.3846i | −0.299525 | − | 1.26940i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 11.0702i | 0.494088i | ||||||||
\(503\) | 7.52730 | + | 4.34589i | 0.335626 | + | 0.193774i | 0.658336 | − | 0.752724i | \(-0.271261\pi\) |
−0.322710 | + | 0.946498i | \(0.604594\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.95882 | + | 9.14030i | 0.398662 | + | 0.406738i | ||||
\(506\) | −3.78180 | −0.168122 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 46.6348i | 2.06908i | ||||||||
\(509\) | 2.74976 | + | 4.76273i | 0.121881 | + | 0.211104i | 0.920509 | − | 0.390720i | \(-0.127774\pi\) |
−0.798628 | + | 0.601824i | \(0.794441\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −2.88578 | + | 4.99832i | −0.127659 | + | 0.221113i | ||||
\(512\) | 25.1032i | 1.10941i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −10.0833 | + | 17.4648i | −0.444755 | + | 0.770337i | ||||
\(515\) | 4.37341 | + | 17.0019i | 0.192716 | + | 0.749193i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.10862 | − | 0.640059i | 0.0487569 | − | 0.0281498i | ||||
\(518\) | 7.00868 | − | 4.04646i | 0.307944 | − | 0.177791i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −10.5021 | + | 0.793460i | −0.460546 | + | 0.0347955i | ||||
\(521\) | 1.98624 | 0.0870189 | 0.0435095 | − | 0.999053i | \(-0.486146\pi\) | ||||
0.0435095 | + | 0.999053i | \(0.486146\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 17.6311 | − | 10.1793i | 0.770954 | − | 0.445111i | −0.0622607 | − | 0.998060i | \(-0.519831\pi\) |
0.833215 | + | 0.552949i | \(0.186498\pi\) | |||||||
\(524\) | −10.6104 | + | 18.3778i | −0.463519 | + | 0.802839i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.3197 | + | 19.6064i | −0.493564 | + | 0.854878i | ||||
\(527\) | −3.74705 | − | 2.16336i | −0.163224 | − | 0.0942374i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 20.4322 | − | 35.3896i | 0.888357 | − | 1.53868i | ||||
\(530\) | 14.3496 | + | 14.6403i | 0.623306 | + | 0.635932i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 6.16809i | 0.267421i | ||||||||
\(533\) | 39.8694 | − | 14.4287i | 1.72694 | − | 0.624976i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −18.6622 | + | 18.2917i | −0.806839 | + | 0.790819i | ||||
\(536\) | −1.04205 | − | 1.80489i | −0.0450097 | − | 0.0779592i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 38.0961i | − | 1.64244i | ||||||
\(539\) | 0.712143 | − | 1.23347i | 0.0306742 | − | 0.0531292i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.604941 | −0.0260084 | −0.0130042 | − | 0.999915i | \(-0.504139\pi\) | ||||
−0.0130042 | + | 0.999915i | \(0.504139\pi\) | |||||||
\(542\) | −35.8577 | − | 20.7024i | −1.54022 | − | 0.889246i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.19463 | + | 5.53326i | 0.136969 | + | 0.237237i | ||||
\(545\) | −28.6930 | + | 7.38072i | −1.22907 | + | 0.316155i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 21.2353i | − | 0.907958i | −0.891012 | − | 0.453979i | \(-0.850004\pi\) | ||
0.891012 | − | 0.453979i | \(-0.149996\pi\) | |||||||
\(548\) | −24.0582 | + | 13.8900i | −1.02771 | + | 0.593351i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.36566 | + | 0.0474459i | 0.100872 | + | 0.00202310i | ||||
\(551\) | 9.78207 | 0.416730 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.84779 | − | 5.10827i | −0.376246 | − | 0.217226i | ||||
\(554\) | −24.7996 | −1.05364 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.21297 | − | 5.56502i | −0.136260 | − | 0.236009i | ||||
\(557\) | −37.4735 | + | 21.6354i | −1.58780 | + | 0.916720i | −0.594137 | + | 0.804364i | \(0.702506\pi\) |
−0.993668 | + | 0.112355i | \(0.964160\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.3910 | + | 14.7122i | −0.524082 | + | 0.622260i | ||||
\(560\) | −0.986586 | − | 3.83541i | −0.0416909 | − | 0.162075i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −32.4882 | + | 18.7571i | −1.37043 | + | 0.791220i | ||||
\(563\) | −19.8331 | − | 11.4507i | −0.835866 | − | 0.482587i | 0.0199909 | − | 0.999800i | \(-0.493636\pi\) |
−0.855857 | + | 0.517213i | \(0.826970\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 32.3446 | + | 9.01526i | 1.36075 | + | 0.379275i | ||||
\(566\) | −15.4274 | + | 26.7211i | −0.648463 | + | 1.12317i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.99582 | + | 5.77109i | 0.419415 | + | 0.242150i | ||||
\(569\) | 18.6978 | + | 32.3855i | 0.783852 | + | 1.35767i | 0.929683 | + | 0.368362i | \(0.120081\pi\) |
−0.145831 | + | 0.989310i | \(0.546586\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.3597 | −0.600935 | −0.300467 | − | 0.953792i | \(-0.597143\pi\) | ||||
−0.300467 | + | 0.953792i | \(0.597143\pi\) | |||||||
\(572\) | 0.363755 | − | 2.04110i | 0.0152093 | − | 0.0853428i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −9.26586 | − | 16.0489i | −0.386749 | − | 0.669870i | ||||
\(575\) | −20.6687 | + | 34.1967i | −0.861943 | + | 1.42610i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.7453i | 0.697117i | 0.937287 | + | 0.348558i | \(0.113329\pi\) | ||||
−0.937287 | + | 0.348558i | \(0.886671\pi\) | |||||||
\(578\) | −30.3553 | − | 17.5257i | −1.26262 | − | 0.728971i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 17.1546 | − | 4.41270i | 0.712307 | − | 0.183227i | ||||
\(581\) | −1.60836 | + | 2.78576i | −0.0667260 | + | 0.115573i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.815280 | + | 0.470702i | −0.0337654 | + | 0.0194945i | ||||
\(584\) | −10.2708 | −0.425011 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −12.8764 | −0.531921 | ||||||||
\(587\) | 2.52788 | − | 1.45947i | 0.104337 | − | 0.0602388i | −0.446924 | − | 0.894572i | \(-0.647480\pi\) |
0.551260 | + | 0.834333i | \(0.314147\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.49857 | + | 14.7199i | −0.350177 | + | 0.606525i | ||||
\(590\) | 2.59859 | + | 10.1022i | 0.106982 | + | 0.415899i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −10.7303 | − | 6.19514i | −0.441013 | − | 0.254619i | ||||
\(593\) | 37.4573i | 1.53819i | 0.639137 | + | 0.769093i | \(0.279292\pi\) | ||||
−0.639137 | + | 0.769093i | \(0.720708\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.942131 | − | 0.961216i | −0.0386236 | − | 0.0394060i | ||||
\(596\) | −21.2672 | − | 36.8359i | −0.871140 | − | 1.50886i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 47.3116 | + | 39.8469i | 1.93472 | + | 1.62946i | ||||
\(599\) | −25.0853 | −1.02496 | −0.512479 | − | 0.858700i | \(-0.671273\pi\) | ||||
−0.512479 | + | 0.858700i | \(0.671273\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.697943 | + | 1.20887i | 0.0284697 | + | 0.0493109i | 0.879909 | − | 0.475142i | \(-0.157603\pi\) |
−0.851440 | + | 0.524453i | \(0.824270\pi\) | |||||||
\(602\) | 7.28070 | + | 4.20351i | 0.296739 | + | 0.171322i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 27.5537 | − | 47.7244i | 1.12114 | − | 1.94188i | ||||
\(605\) | 6.57483 | − | 23.5889i | 0.267305 | − | 0.959027i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.517866 | + | 0.298990i | 0.0210195 | + | 0.0121356i | 0.510473 | − | 0.859894i | \(-0.329470\pi\) |
−0.489453 | + | 0.872029i | \(0.662804\pi\) | |||||||
\(608\) | 21.7369 | − | 12.5498i | 0.881549 | − | 0.508963i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 14.4415 | + | 56.1420i | 0.584718 | + | 2.27312i | ||||
\(611\) | −20.6131 | − | 3.67356i | −0.833918 | − | 0.148616i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 23.9930 | − | 13.8524i | 0.969070 | − | 0.559493i | 0.0701171 | − | 0.997539i | \(-0.477663\pi\) |
0.898952 | + | 0.438046i | \(0.144329\pi\) | |||||||
\(614\) | 14.1723 | + | 24.5472i | 0.571949 | + | 0.990644i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.211390 | −0.00851714 | ||||||||
\(617\) | −9.95360 | − | 5.74671i | −0.400717 | − | 0.231354i | 0.286076 | − | 0.958207i | \(-0.407649\pi\) |
−0.686793 | + | 0.726853i | \(0.740982\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 13.7729 | 0.553581 | 0.276791 | − | 0.960930i | \(-0.410729\pi\) | ||||
0.276791 | + | 0.960930i | \(0.410729\pi\) | |||||||
\(620\) | −8.26358 | + | 29.6478i | −0.331873 | + | 1.19068i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 35.6012 | − | 20.5544i | 1.42748 | − | 0.824154i | ||||
\(623\) | 3.17626i | 0.127254i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 13.3581 | − | 21.1320i | 0.534322 | − | 0.845281i | ||||
\(626\) | 24.6683 | + | 42.7267i | 0.985943 | + | 1.70770i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −39.2179 | − | 22.6424i | −1.56496 | − | 0.903532i | ||||
\(629\) | −4.21097 | −0.167902 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.4209 | + | 26.7097i | −0.613895 | + | 1.06330i | 0.376682 | + | 0.926343i | \(0.377065\pi\) |
−0.990577 | + | 0.136955i | \(0.956268\pi\) | |||||||
\(632\) | − | 18.1810i | − | 0.723200i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4.94893 | − | 8.57179i | −0.196547 | − | 0.340429i | ||||
\(635\) | −28.5494 | + | 27.9826i | −1.13295 | + | 1.11045i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −21.9056 | + | 7.92760i | −0.867930 | + | 0.314103i | ||||
\(638\) | 1.43709i | 0.0568950i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 15.9163 | − | 15.6003i | 0.629148 | − | 0.616657i | ||||
\(641\) | −7.56498 | + | 13.1029i | −0.298799 | + | 0.517535i | −0.975861 | − | 0.218391i | \(-0.929919\pi\) |
0.677063 | + | 0.735925i | \(0.263253\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.55601 | − | 0.898362i | −0.0613630 | − | 0.0354279i | 0.469005 | − | 0.883196i | \(-0.344613\pi\) |
−0.530368 | + | 0.847768i | \(0.677946\pi\) | |||||||
\(644\) | 7.65129 | − | 13.2524i | 0.301503 | − | 0.522219i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.83508 | − | 4.91050i | 0.111545 | − | 0.193201i | ||||
\(647\) | 34.8534 | − | 20.1226i | 1.37023 | − | 0.791103i | 0.379273 | − | 0.925285i | \(-0.376174\pi\) |
0.990957 | + | 0.134182i | \(0.0428407\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.479016 | −0.0188030 | ||||||||
\(650\) | −29.0953 | − | 25.5193i | −1.14121 | − | 1.00095i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −17.7554 | + | 10.2511i | −0.695356 | + | 0.401464i | ||||
\(653\) | −8.55859 | + | 4.94130i | −0.334923 | + | 0.193368i | −0.658025 | − | 0.752996i | \(-0.728608\pi\) |
0.323101 | + | 0.946364i | \(0.395274\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.6174 | + | 4.53174i | −0.688369 | + | 0.177070i | ||||
\(656\) | −14.1860 | + | 24.5710i | −0.553872 | + | 0.959335i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 9.15131i | 0.356755i | ||||||||
\(659\) | −13.1170 | + | 22.7193i | −0.510965 | + | 0.885017i | 0.488955 | + | 0.872309i | \(0.337378\pi\) |
−0.999919 | + | 0.0127075i | \(0.995955\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 19.9501 | + | 34.5545i | 0.775968 | + | 1.34402i | 0.934249 | + | 0.356622i | \(0.116072\pi\) |
−0.158281 | + | 0.987394i | \(0.550595\pi\) | |||||||
\(662\) | − | 16.2832i | − | 0.632863i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.72434 | −0.222148 | ||||||||
\(665\) | −3.77605 | + | 3.70108i | −0.146429 | + | 0.143522i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −21.0172 | − | 12.1343i | −0.813790 | − | 0.469842i | ||||
\(668\) | 5.10650i | 0.197576i | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 2.05617 | − | 7.37707i | 0.0794370 | − | 0.285001i | ||||
\(671\) | −2.66210 | −0.102769 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.1025 | − | 6.98740i | 0.466518 | − | 0.269344i | −0.248263 | − | 0.968693i | \(-0.579860\pi\) |
0.714781 | + | 0.699348i | \(0.246526\pi\) | |||||||
\(674\) | −10.9228 | − | 18.9188i | −0.420730 | − | 0.728726i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −26.0567 | + | 21.7022i | −1.00218 | + | 0.834699i | ||||
\(677\) | − | 37.3636i | − | 1.43600i | −0.696043 | − | 0.718000i | \(-0.745058\pi\) | ||
0.696043 | − | 0.718000i | \(-0.254942\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.17157 | − | 5.49332i | −0.121714 | − | 0.210814i | ||||
\(680\) | 0.643084 | − | 2.30723i | 0.0246611 | − | 0.0884783i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −2.16252 | − | 1.24853i | −0.0828071 | − | 0.0478087i | ||||
\(683\) | 20.2586 | + | 11.6963i | 0.775176 | + | 0.447548i | 0.834718 | − | 0.550678i | \(-0.185631\pi\) |
−0.0595422 | + | 0.998226i | \(0.518964\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −22.9391 | − | 6.39371i | −0.876458 | − | 0.244291i | ||||
\(686\) | 10.6065 | + | 18.3711i | 0.404959 | + | 0.701410i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | − | 12.8712i | − | 0.490709i | ||||||
\(689\) | 15.1590 | + | 2.70155i | 0.577510 | + | 0.102921i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.0692 | + | 31.2968i | 0.687386 | + | 1.19059i | 0.972681 | + | 0.232148i | \(0.0745753\pi\) |
−0.285294 | + | 0.958440i | \(0.592091\pi\) | |||||||
\(692\) | 46.9143 | − | 27.0860i | 1.78342 | − | 1.02966i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −28.1153 | −1.06724 | ||||||||
\(695\) | 1.47896 | − | 5.30616i | 0.0561002 | − | 0.201274i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 9.64256i | 0.365238i | ||||||||
\(698\) | 11.4595 | + | 6.61612i | 0.433747 | + | 0.250424i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.95243 | + | 8.19389i | −0.187184 | + | 0.309700i | ||||
\(701\) | −44.5949 | −1.68433 | −0.842163 | − | 0.539223i | \(-0.818718\pi\) | ||||
−0.842163 | + | 0.539223i | \(0.818718\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 16.5424i | 0.623909i | ||||||||
\(704\) | 1.31186 | + | 2.27221i | 0.0494425 | + | 0.0856370i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.77904 | + | 6.54549i | −0.142226 | + | 0.246343i | ||||
\(707\) | − | 4.20166i | − | 0.158020i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −14.9101 | + | 25.8251i | −0.559962 | + | 0.969882i | 0.437537 | + | 0.899200i | \(0.355851\pi\) |
−0.997499 | + | 0.0706821i | \(0.977482\pi\) | |||||||
\(710\) | 10.5660 | + | 41.0759i | 0.396534 | + | 1.54155i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.89508 | + | 2.82618i | −0.183451 | + | 0.105915i | ||||
\(713\) | 36.5191 | − | 21.0843i | 1.36765 | − | 0.789614i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.46781 | − | 1.00205i | 0.0548931 | − | 0.0374745i | ||||
\(716\) | −67.2282 | −2.51244 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 18.7454 | − | 10.8226i | 0.699571 | − | 0.403897i | ||||
\(719\) | 5.02234 | − | 8.69895i | 0.187302 | − | 0.324416i | −0.757048 | − | 0.653359i | \(-0.773359\pi\) |
0.944350 | + | 0.328943i | \(0.106692\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.88162 | − | 4.99111i | 0.107317 | − | 0.185879i | ||||
\(722\) | 16.0331 | + | 9.25673i | 0.596691 | + | 0.344500i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −15.4880 | + | 26.8260i | −0.575608 | + | 0.996982i | ||||
\(725\) | 12.9948 | + | 7.85413i | 0.482615 | + | 0.291695i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 24.9360i | 0.924827i | 0.886664 | + | 0.462413i | \(0.153016\pi\) | ||||
−0.886664 | + | 0.462413i | \(0.846984\pi\) | |||||||
\(728\) | 2.64456 | + | 2.22731i | 0.0980138 | + | 0.0825495i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −26.4183 | − | 26.9534i | −0.977784 | − | 0.997591i | ||||
\(731\) | −2.18720 | − | 3.78835i | −0.0808966 | − | 0.140117i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 28.9043i | − | 1.06760i | −0.845609 | − | 0.533802i | \(-0.820763\pi\) | ||
0.845609 | − | 0.533802i | \(-0.179237\pi\) | |||||||
\(734\) | 6.40463 | − | 11.0931i | 0.236399 | − | 0.409455i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −62.2704 | −2.29532 | ||||||||
\(737\) | 0.304568 | + | 0.175842i | 0.0112189 | + | 0.00647724i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 10.1747 | + | 17.6232i | 0.374284 | + | 0.648278i | 0.990220 | − | 0.139518i | \(-0.0445553\pi\) |
−0.615936 | + | 0.787796i | \(0.711222\pi\) | |||||||
\(740\) | 7.46230 | + | 29.0101i | 0.274320 | + | 1.06643i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | − | 6.72991i | − | 0.247063i | ||||||
\(743\) | −23.6364 | + | 13.6465i | −0.867135 | + | 0.500640i | −0.866395 | − | 0.499359i | \(-0.833569\pi\) |
−0.000739676 | 1.00000i | \(0.500235\pi\) | ||||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.78953 | − | 35.1225i | 0.358661 | − | 1.28679i | ||||
\(746\) | 57.6960 | 2.11240 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.408331 | + | 0.235750i | 0.0149300 | + | 0.00861987i | ||||
\(749\) | 8.57875 | 0.313461 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.59994 | + | 6.23528i | 0.131364 | + | 0.227528i | 0.924202 | − | 0.381903i | \(-0.124731\pi\) |
−0.792839 | + | 0.609431i | \(0.791398\pi\) | |||||||
\(752\) | 12.1336 | − | 7.00534i | 0.442467 | − | 0.255459i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 15.1419 | − | 17.9785i | 0.551435 | − | 0.654738i | ||||
\(755\) | 45.7497 | − | 11.7682i | 1.66500 | − | 0.428290i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.3694 | + | 10.0282i | −0.631303 | + | 0.364483i | −0.781256 | − | 0.624210i | \(-0.785421\pi\) |
0.149954 | + | 0.988693i | \(0.452088\pi\) | |||||||
\(758\) | −34.4481 | − | 19.8886i | −1.25121 | − | 0.722387i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −9.06376 | − | 2.52630i | −0.328777 | − | 0.0916385i | ||||
\(761\) | 13.6739 | − | 23.6839i | 0.495678 | − | 0.858539i | −0.504310 | − | 0.863523i | \(-0.668253\pi\) |
0.999988 | + | 0.00498368i | \(0.00158636\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.42316 | + | 4.86311i | 0.304939 | + | 0.176057i | ||||
\(764\) | −28.5923 | − | 49.5233i | −1.03443 | − | 1.79169i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 56.9763 | 2.05864 | ||||||||
\(767\) | 5.99265 | + | 5.04715i | 0.216382 | + | 0.182242i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.7783 | + | 27.3289i | 0.568982 | + | 0.985505i | 0.996667 | + | 0.0815776i | \(0.0259959\pi\) |
−0.427685 | + | 0.903928i | \(0.640671\pi\) | |||||||
\(770\) | −0.543729 | − | 0.554743i | −0.0195946 | − | 0.0199916i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | − | 54.5099i | − | 1.96185i | ||||||
\(773\) | 21.1167 | + | 12.1917i | 0.759516 | + | 0.438506i | 0.829122 | − | 0.559068i | \(-0.188841\pi\) |
−0.0696062 | + | 0.997575i | \(0.522174\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −23.1086 | + | 12.7309i | −0.830085 | + | 0.457306i | ||||
\(776\) | 5.64400 | − | 9.77570i | 0.202608 | − | 0.350927i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 29.5485 | − | 17.0598i | 1.05936 | − | 0.611624i | ||||
\(779\) | 37.8800 | 1.35719 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.94770 | −0.0696943 | ||||||||
\(782\) | −12.1826 | + | 7.03362i | −0.435648 | + | 0.251522i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 7.79429 | − | 13.5001i | 0.278367 | − | 0.482146i | ||||
\(785\) | −9.67064 | − | 37.5951i | −0.345160 | − | 1.34183i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −3.24278 | − | 1.87222i | −0.115593 | − | 0.0667374i | 0.441089 | − | 0.897463i | \(-0.354592\pi\) |
−0.556682 | + | 0.830726i | \(0.687926\pi\) | |||||||
\(788\) | − | 9.89809i | − | 0.352605i | ||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 47.7117 | − | 46.7643i | 1.69750 | − | 1.66380i | ||||
\(791\) | −5.51157 | − | 9.54632i | −0.195969 | − | 0.339428i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 33.3037 | + | 28.0491i | 1.18265 | + | 0.996054i | ||||
\(794\) | 68.2220 | 2.42111 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.505182 | + | 0.875000i | 0.0179057 | + | 0.0310136i | ||||
\(797\) | −7.56168 | − | 4.36574i | −0.267848 | − | 0.154642i | 0.360061 | − | 0.932929i | \(-0.382756\pi\) |
−0.627909 | + | 0.778286i | \(0.716089\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 2.38084 | − | 4.12373i | 0.0842280 | − | 0.145887i | ||||
\(800\) | 38.9524 | + | 0.781234i | 1.37718 | + | 0.0276208i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −16.0511 | − | 9.26710i | −0.566784 | − | 0.327233i | ||||
\(803\) | 1.50097 | − | 0.866585i | 0.0529680 | − | 0.0305811i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 12.7041 | − | 3.26788i | 0.447760 | − | 0.115178i | ||||
\(806\) | 13.8987 | + | 38.4049i | 0.489560 | + | 1.35275i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.47536 | − | 3.73855i | 0.227802 | − | 0.131522i | ||||
\(809\) | −14.1043 | − | 24.4294i | −0.495881 | − | 0.858891i | 0.504108 | − | 0.863641i | \(-0.331821\pi\) |
−0.999989 | + | 0.00474964i | \(0.998488\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −38.4805 | −1.35123 | −0.675617 | − | 0.737253i | \(-0.736123\pi\) | ||||
−0.675617 | + | 0.737253i | \(0.736123\pi\) | |||||||
\(812\) | −5.03594 | − | 2.90750i | −0.176727 | − | 0.102033i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.43026 | −0.0851806 | ||||||||
\(815\) | −16.9295 | − | 4.71869i | −0.593016 | − | 0.165288i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −14.8822 | + | 8.59223i | −0.520662 | + | 0.300604i | ||||
\(818\) | 28.2201i | 0.986694i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 66.4293 | − | 17.0877i | 2.31981 | − | 0.596728i | ||||
\(821\) | 0.237151 | + | 0.410758i | 0.00827663 | + | 0.0143355i | 0.870134 | − | 0.492815i | \(-0.164032\pi\) |
−0.861857 | + | 0.507151i | \(0.830699\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.19717 | + | 3.57794i | 0.216020 | + | 0.124719i | 0.604106 | − | 0.796904i | \(-0.293530\pi\) |
−0.388086 | + | 0.921623i | \(0.626864\pi\) | |||||||
\(824\) | 10.2560 | 0.357286 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.71219 | − | 2.96561i | 0.0595749 | − | 0.103187i | ||||
\(827\) | − | 25.1309i | − | 0.873888i | −0.899489 | − | 0.436944i | \(-0.856061\pi\) | ||
0.899489 | − | 0.436944i | \(-0.143939\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.7461 | − | 18.6129i | −0.373229 | − | 0.646452i | 0.616831 | − | 0.787096i | \(-0.288416\pi\) |
−0.990060 | + | 0.140644i | \(0.955083\pi\) | |||||||
\(830\) | −14.7239 | − | 15.0222i | −0.511075 | − | 0.521428i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 7.52929 | − | 42.2484i | 0.261031 | − | 1.46470i | ||||
\(833\) | − | 5.29794i | − | 0.183563i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.12616 | + | 3.06409i | −0.108185 | + | 0.106037i | ||||
\(836\) | 0.926123 | − | 1.60409i | 0.0320306 | − | 0.0554787i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −62.3421 | − | 35.9932i | −2.15357 | − | 1.24337i | ||||
\(839\) | 2.71708 | − | 4.70613i | 0.0938041 | − | 0.162474i | −0.815305 | − | 0.579032i | \(-0.803431\pi\) |
0.909109 | + | 0.416559i | \(0.136764\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.88895 | − | 17.1282i | 0.340998 | − | 0.590626i | ||||
\(842\) | 23.1834 | − | 13.3849i | 0.798951 | − | 0.461275i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −23.5956 | −0.812193 | ||||||||
\(845\) | −28.9209 | − | 2.92963i | −0.994909 | − | 0.100782i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.96213 | + | 4.01959i | −0.239221 | + | 0.138115i | ||||
\(848\) | −8.92310 | + | 5.15175i | −0.306420 | + | 0.176912i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 7.70890 | − | 4.24695i | 0.264413 | − | 0.145669i | ||||
\(851\) | 20.5203 | − | 35.5421i | 0.703425 | − | 1.21837i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.2149i | 0.520948i | 0.965481 | + | 0.260474i | \(0.0838788\pi\) | ||||
−0.965481 | + | 0.260474i | \(0.916121\pi\) | |||||||
\(854\) | 9.51539 | − | 16.4811i | 0.325610 | − | 0.563973i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.63320 | + | 13.2211i | 0.260897 | + | 0.451888i | ||||
\(857\) | − | 15.2698i | − | 0.521606i | −0.965392 | − | 0.260803i | \(-0.916013\pi\) | ||
0.965392 | − | 0.260803i | \(-0.0839872\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 44.0769 | 1.50388 | 0.751942 | − | 0.659229i | \(-0.229117\pi\) | ||||
0.751942 | + | 0.659229i | \(0.229117\pi\) | |||||||
\(860\) | −22.2226 | + | 21.7814i | −0.757785 | + | 0.742739i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 30.4174 | + | 17.5615i | 1.03602 | + | 0.598146i | ||||
\(863\) | − | 5.21492i | − | 0.177518i | −0.996053 | − | 0.0887590i | \(-0.971710\pi\) | ||
0.996053 | − | 0.0887590i | \(-0.0282901\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 44.7321 | + | 12.4680i | 1.52094 | + | 0.423924i | ||||
\(866\) | −25.8987 | −0.880073 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 8.75036 | − | 5.05202i | 0.297006 | − | 0.171477i | ||||
\(869\) | 1.53399 | + | 2.65694i | 0.0520369 | + | 0.0901306i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.95748 | − | 5.40892i | −0.0663268 | − | 0.183274i | ||||
\(872\) | 17.3084i | 0.586137i | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 27.6310 | + | 47.8582i | 0.934631 | + | 1.61883i | ||||
\(875\) | −7.98787 | + | 1.88480i | −0.270039 | + | 0.0637178i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.6246 | − | 11.3303i | −0.662677 | − | 0.382596i | 0.130619 | − | 0.991433i | \(-0.458303\pi\) |
−0.793296 | + | 0.608836i | \(0.791637\pi\) | |||||||
\(878\) | −34.2777 | − | 19.7903i | −1.15682 | − | 0.667889i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −0.319302 | + | 1.14558i | −0.0107637 | + | 0.0386175i | ||||
\(881\) | −17.4269 | − | 30.1842i | −0.587126 | − | 1.01693i | −0.994607 | − | 0.103718i | \(-0.966926\pi\) |
0.407481 | − | 0.913214i | \(-0.366407\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 43.7622i | − | 1.47271i | −0.676593 | − | 0.736357i | \(-0.736545\pi\) | ||
0.676593 | − | 0.736357i | \(-0.263455\pi\) | |||||||
\(884\) | −2.62437 | − | 7.25168i | −0.0882672 | − | 0.243900i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 7.94797 | + | 13.7663i | 0.267017 | + | 0.462487i | ||||
\(887\) | −16.0143 | + | 9.24583i | −0.537706 | + | 0.310445i | −0.744149 | − | 0.668014i | \(-0.767145\pi\) |
0.206443 | + | 0.978459i | \(0.433811\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.1237 | 0.440156 | ||||||||
\(890\) | −20.0076 | − | 5.57661i | −0.670655 | − | 0.186928i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 37.4533i | − | 1.25403i | ||||||
\(893\) | −16.1997 | − | 9.35292i | −0.542103 | − | 0.312984i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −40.3394 | − | 41.1565i | −1.34840 | − | 1.37571i | ||||
\(896\) | −7.31650 | −0.244427 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 33.2344i | 1.10905i | ||||||||
\(899\) | −8.01207 | − | 13.8773i | −0.267218 | − | 0.462834i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.75088 | + | 3.03261i | −0.0583302 | + | 0.101031i | ||||
\(902\) | 5.56497i | 0.185293i | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 9.80817 | − | 16.9882i | 0.326215 | − | 0.565021i | ||||
\(905\) | −25.7161 | + | 6.61497i | −0.854831 | + | 0.219889i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 38.0177 | − | 21.9495i | 1.26236 | − | 0.728822i | 0.288826 | − | 0.957381i | \(-0.406735\pi\) |
0.973530 | + | 0.228560i | \(0.0734016\pi\) | |||||||
\(908\) | 55.8481 | − | 32.2439i | 1.85338 | − | 1.07005i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.957179 | + | 12.6690i | 0.0317302 | + | 0.419974i | ||||
\(911\) | 21.1250 | 0.699902 | 0.349951 | − | 0.936768i | \(-0.386198\pi\) | ||||
0.349951 | + | 0.936768i | \(0.386198\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.836548 | − | 0.482981i | 0.0276857 | − | 0.0159844i | ||||
\(914\) | 24.0677 | − | 41.6865i | 0.796090 | − | 1.37887i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.56539 | − | 2.71133i | 0.0517219 | − | 0.0895850i | ||||
\(917\) | 5.17180 | + | 2.98594i | 0.170788 | + | 0.0986044i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 9.06440 | − | 15.7000i | 0.299007 | − | 0.517895i | −0.676902 | − | 0.736073i | \(-0.736678\pi\) |
0.975909 | + | 0.218178i | \(0.0700112\pi\) | |||||||
\(920\) | 16.3401 | + | 16.6711i | 0.538718 | + | 0.549631i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 19.4087i | 0.639192i | ||||||||
\(923\) | 24.3664 | + | 20.5219i | 0.802030 | + | 0.675488i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.2821 | + | 21.9755i | −0.436712 | + | 0.722549i | ||||
\(926\) | 41.5066 | + | 71.8915i | 1.36399 | + | 2.36250i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 23.6629i | 0.776771i | ||||||||
\(929\) | 6.16891 | − | 10.6849i | 0.202395 | − | 0.350559i | −0.746904 | − | 0.664931i | \(-0.768461\pi\) |
0.949300 | + | 0.314372i | \(0.101794\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.8125 | −0.682102 | ||||||||
\(932\) | −46.3346 | − | 26.7513i | −1.51774 | − | 0.876267i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.29751 | − | 3.97940i | −0.0751767 | − | 0.130210i | ||||
\(935\) | 0.100689 | + | 0.391435i | 0.00329289 | + | 0.0128013i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 42.2147i | − | 1.37909i | −0.724241 | − | 0.689547i | \(-0.757810\pi\) | ||
0.724241 | − | 0.689547i | \(-0.242190\pi\) | |||||||
\(938\) | −2.17730 | + | 1.25706i | −0.0710912 | + | 0.0410445i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −32.6283 | − | 9.09431i | −1.06422 | − | 0.296624i | ||||
\(941\) | 3.55988 | 0.116049 | 0.0580245 | − | 0.998315i | \(-0.481520\pi\) | ||||
0.0580245 | + | 0.998315i | \(0.481520\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −81.3868 | − | 46.9887i | −2.65032 | − | 1.53016i | ||||
\(944\) | −5.24275 | −0.170637 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.26229 | − | 2.18635i | −0.0410406 | − | 0.0710845i | ||||
\(947\) | 1.55599 | − | 0.898350i | 0.0505628 | − | 0.0291924i | −0.474506 | − | 0.880253i | \(-0.657373\pi\) |
0.525068 | + | 0.851060i | \(0.324040\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −27.9084 | − | 4.97368i | −0.905944 | − | 0.161453i | ||||
\(950\) | −16.6838 | − | 30.2838i | −0.541293 | − | 0.982535i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.680965 | + | 0.393155i | −0.0220702 | + | 0.0127422i | ||||
\(953\) | −7.11822 | − | 4.10970i | −0.230582 | − | 0.133126i | 0.380259 | − | 0.924880i | \(-0.375835\pi\) |
−0.610840 | + | 0.791754i | \(0.709168\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 13.1613 | − | 47.2198i | 0.425891 | − | 1.52800i | ||||
\(956\) | −37.8727 | + | 65.5974i | −1.22489 | + | 2.12157i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 4.41166 | + | 2.54708i | 0.142534 | + | 0.0822923i | ||||
\(959\) | 3.90885 | + | 6.77033i | 0.126223 | + | 0.218625i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.15676 | −0.101831 | ||||||||
\(962\) | 30.4033 | + | 25.6064i | 0.980243 | + | 0.825584i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.8357 | − | 32.6243i | −0.606656 | − | 1.05076i | ||||
\(965\) | 33.3705 | − | 32.7079i | 1.07423 | − | 1.05290i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 54.7952i | 1.76209i | 0.473028 | + | 0.881047i | \(0.343161\pi\) | ||||
−0.473028 | + | 0.881047i | \(0.656839\pi\) | |||||||
\(968\) | −12.3895 | − | 7.15310i | −0.398214 | − | 0.229909i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 40.1713 | − | 10.3333i | 1.28982 | − | 0.331783i | ||||
\(971\) | −2.13198 | + | 3.69271i | −0.0684186 | + | 0.118505i | −0.898205 | − | 0.439576i | \(-0.855129\pi\) |
0.829787 | + | 0.558081i | \(0.188462\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.56608 | + | 0.904177i | −0.0502062 | + | 0.0289866i | ||||
\(974\) | 1.91498 | 0.0613600 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −29.1362 | −0.932626 | ||||||||
\(977\) | −15.0852 | + | 8.70945i | −0.482618 | + | 0.278640i | −0.721507 | − | 0.692407i | \(-0.756550\pi\) |
0.238889 | + | 0.971047i | \(0.423217\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.476907 | − | 0.826027i | 0.0152420 | − | 0.0263999i | ||||
\(980\) | −36.4985 | + | 9.38854i | −1.16590 | + | 0.299906i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 41.3137 | + | 23.8525i | 1.31837 | + | 0.761164i | ||||
\(983\) | 36.2982i | 1.15773i | 0.815422 | + | 0.578867i | \(0.196505\pi\) | ||||
−0.815422 | + | 0.578867i | \(0.803495\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.05952 | − | 5.93921i | 0.193073 | − | 0.189239i | ||||
\(986\) | 2.67279 | + | 4.62940i | 0.0851189 | + | 0.147430i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −28.4876 | + | 10.3096i | −0.906311 | + | 0.327993i | ||||
\(989\) | 42.6334 | 1.35566 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.94083 | − | 6.82572i | −0.125185 | − | 0.216826i | 0.796620 | − | 0.604480i | \(-0.206619\pi\) |
−0.921805 | + | 0.387654i | \(0.873286\pi\) | |||||||
\(992\) | −35.6076 | − | 20.5581i | −1.13054 | − | 0.652719i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 6.96187 | − | 12.0583i | 0.220817 | − | 0.382466i | ||||
\(995\) | −0.232540 | + | 0.834300i | −0.00737202 | + | 0.0264491i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 47.2647 | + | 27.2883i | 1.49689 | + | 0.864229i | 0.999994 | − | 0.00358086i | \(-0.00113983\pi\) |
0.496896 | + | 0.867810i | \(0.334473\pi\) | |||||||
\(998\) | 15.1946 | − | 8.77261i | 0.480977 | − | 0.277692i | ||||
\(999\) | 0 | 0 |
(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 | 585.2.bs.b.289.11 | 24 | ||
3.2 | odd | 2 | 195.2.ba.a.94.2 | ✓ | 24 | ||
5.4 | even | 2 | inner | 585.2.bs.b.289.2 | 24 | ||
13.9 | even | 3 | inner | 585.2.bs.b.334.2 | 24 | ||
15.2 | even | 4 | 975.2.i.q.601.1 | 12 | |||
15.8 | even | 4 | 975.2.i.o.601.6 | 12 | |||
15.14 | odd | 2 | 195.2.ba.a.94.11 | yes | 24 | ||
39.35 | odd | 6 | 195.2.ba.a.139.11 | yes | 24 | ||
65.9 | even | 6 | inner | 585.2.bs.b.334.11 | 24 | ||
195.74 | odd | 6 | 195.2.ba.a.139.2 | yes | 24 | ||
195.113 | even | 12 | 975.2.i.o.451.6 | 12 | |||
195.152 | even | 12 | 975.2.i.q.451.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
195.2.ba.a.94.2 | ✓ | 24 | 3.2 | odd | 2 | ||
195.2.ba.a.94.11 | yes | 24 | 15.14 | odd | 2 | ||
195.2.ba.a.139.2 | yes | 24 | 195.74 | odd | 6 | ||
195.2.ba.a.139.11 | yes | 24 | 39.35 | odd | 6 | ||
585.2.bs.b.289.2 | 24 | 5.4 | even | 2 | inner | ||
585.2.bs.b.289.11 | 24 | 1.1 | even | 1 | trivial | ||
585.2.bs.b.334.2 | 24 | 13.9 | even | 3 | inner | ||
585.2.bs.b.334.11 | 24 | 65.9 | even | 6 | inner | ||
975.2.i.o.451.6 | 12 | 195.113 | even | 12 | |||
975.2.i.o.601.6 | 12 | 15.8 | even | 4 | |||
975.2.i.q.451.1 | 12 | 195.152 | even | 12 | |||
975.2.i.q.601.1 | 12 | 15.2 | even | 4 |