Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(125,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.i (of order \(2\), degree \(1\), 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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 125.15 | ||
Character | \(\chi\) | \(=\) | 504.125 |
Dual form | 504.2.i.b.125.14 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.483690 | + | 1.32893i | 0.342020 | + | 0.939693i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.53209 | + | 1.28558i | −0.766044 | + | 0.642788i | ||||
\(5\) | − | 1.88325i | − | 0.842216i | −0.907011 | − | 0.421108i | \(-0.861641\pi\) | ||
0.907011 | − | 0.421108i | \(-0.138359\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.347296 | − | 2.62286i | −0.131266 | − | 0.991347i | ||||
\(8\) | −2.44949 | − | 1.41421i | −0.866025 | − | 0.500000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.50270 | − | 0.910909i | 0.791424 | − | 0.288055i | ||||
\(11\) | 3.41687 | 1.03022 | 0.515112 | − | 0.857123i | \(-0.327750\pi\) | ||||
0.515112 | + | 0.857123i | \(0.327750\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.08044 | 1.13171 | 0.565856 | − | 0.824504i | \(-0.308546\pi\) | ||||
0.565856 | + | 0.824504i | \(0.308546\pi\) | |||||||
\(14\) | 3.31760 | − | 1.73018i | 0.886666 | − | 0.462410i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.694593 | − | 3.93923i | 0.173648 | − | 0.984808i | ||||
\(17\) | −3.26189 | −0.791124 | −0.395562 | − | 0.918439i | \(-0.629450\pi\) | ||||
−0.395562 | + | 0.918439i | \(0.629450\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.66872 | 1.75933 | 0.879663 | − | 0.475597i | \(-0.157768\pi\) | ||||
0.879663 | + | 0.475597i | \(0.157768\pi\) | |||||||
\(20\) | 2.42106 | + | 2.88531i | 0.541366 | + | 0.645175i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.65270 | + | 4.54077i | 0.352358 | + | 0.968095i | ||||
\(23\) | − | 0.261336i | − | 0.0544923i | −0.999629 | − | 0.0272462i | \(-0.991326\pi\) | ||
0.999629 | − | 0.0272462i | \(-0.00867380\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.45336 | 0.290673 | ||||||||
\(26\) | 1.97367 | + | 5.42261i | 0.387068 | + | 1.06346i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.90397 | + | 3.57198i | 0.737781 | + | 0.675040i | ||||
\(29\) | −6.08565 | −1.13008 | −0.565038 | − | 0.825065i | \(-0.691139\pi\) | ||||
−0.565038 | + | 0.825065i | \(0.691139\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 8.03690i | − | 1.44347i | −0.692169 | − | 0.721735i | \(-0.743345\pi\) | ||
0.692169 | − | 0.721735i | \(-0.256655\pi\) | |||||||
\(32\) | 5.57091 | − | 0.982302i | 0.984808 | − | 0.173648i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.57774 | − | 4.33481i | −0.270580 | − | 0.743413i | ||||
\(35\) | −4.93950 | + | 0.654046i | −0.834928 | + | 0.110554i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 1.84321i | − | 0.303022i | −0.988456 | − | 0.151511i | \(-0.951586\pi\) | ||
0.988456 | − | 0.151511i | \(-0.0484139\pi\) | |||||||
\(38\) | 3.70928 | + | 10.1912i | 0.601725 | + | 1.65323i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.66332 | + | 4.61301i | −0.421108 | + | 0.729380i | ||||
\(41\) | −8.10401 | −1.26563 | −0.632817 | − | 0.774301i | \(-0.718101\pi\) | ||||
−0.632817 | + | 0.774301i | \(0.718101\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.40333i | 1.12900i | 0.825434 | + | 0.564499i | \(0.190931\pi\) | ||||
−0.825434 | + | 0.564499i | \(0.809069\pi\) | |||||||
\(44\) | −5.23495 | + | 4.39264i | −0.789198 | + | 0.662216i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.347296 | − | 0.126406i | 0.0512061 | − | 0.0186375i | ||||
\(47\) | 2.57644 | 0.375812 | 0.187906 | − | 0.982187i | \(-0.439830\pi\) | ||||
0.187906 | + | 0.982187i | \(0.439830\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.75877 | + | 1.82182i | −0.965539 | + | 0.260260i | ||||
\(50\) | 0.702977 | + | 1.93141i | 0.0994159 | + | 0.273143i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −6.25160 | + | 5.24572i | −0.866941 | + | 0.727450i | ||||
\(53\) | 11.6566 | 1.60115 | 0.800576 | − | 0.599232i | \(-0.204527\pi\) | ||||
0.800576 | + | 0.599232i | \(0.204527\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 6.43482i | − | 0.867671i | ||||||
\(56\) | −2.85858 | + | 6.91582i | −0.381994 | + | 0.924165i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.94356 | − | 8.08737i | −0.386509 | − | 1.06192i | ||||
\(59\) | − | 5.77062i | − | 0.751270i | −0.926768 | − | 0.375635i | \(-0.877425\pi\) | ||
0.926768 | − | 0.375635i | \(-0.122575\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.59369 | −1.10031 | −0.550154 | − | 0.835063i | \(-0.685431\pi\) | ||||
−0.550154 | + | 0.835063i | \(0.685431\pi\) | |||||||
\(62\) | 10.6805 | − | 3.88737i | 1.35642 | − | 0.493696i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | + | 6.92820i | 0.500000 | + | 0.866025i | ||||
\(65\) | − | 7.68450i | − | 0.953145i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 4.35705i | − | 0.532299i | −0.963932 | − | 0.266149i | \(-0.914249\pi\) | ||
0.963932 | − | 0.266149i | \(-0.0857514\pi\) | |||||||
\(68\) | 4.99750 | − | 4.19340i | 0.606036 | − | 0.508525i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.25836 | − | 6.24788i | −0.389449 | − | 0.746764i | ||||
\(71\) | 7.76432i | 0.921455i | 0.887542 | + | 0.460727i | \(0.152411\pi\) | ||||
−0.887542 | + | 0.460727i | \(0.847589\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.61301i | 0.539911i | 0.962873 | + | 0.269956i | \(0.0870091\pi\) | ||||
−0.962873 | + | 0.269956i | \(0.912991\pi\) | |||||||
\(74\) | 2.44949 | − | 0.891541i | 0.284747 | − | 0.103640i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −11.7492 | + | 9.85872i | −1.34772 | + | 1.13087i | ||||
\(77\) | −1.18667 | − | 8.96196i | −0.135233 | − | 1.02131i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 11.1925 | 1.25926 | 0.629629 | − | 0.776896i | \(-0.283207\pi\) | ||||
0.629629 | + | 0.776896i | \(0.283207\pi\) | |||||||
\(80\) | −7.41856 | − | 1.30809i | −0.829421 | − | 0.146249i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.91983 | − | 10.7696i | −0.432872 | − | 1.18931i | ||||
\(83\) | 7.07871i | 0.776989i | 0.921451 | + | 0.388495i | \(0.127005\pi\) | ||||
−0.921451 | + | 0.388495i | \(0.872995\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.14296i | 0.666297i | ||||||||
\(86\) | −9.83848 | + | 3.58091i | −1.06091 | + | 0.386140i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −8.36959 | − | 4.83218i | −0.892201 | − | 0.515112i | ||||
\(89\) | −13.2569 | −1.40523 | −0.702614 | − | 0.711571i | \(-0.747984\pi\) | ||||
−0.702614 | + | 0.711571i | \(0.747984\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.41712 | − | 10.7024i | −0.148555 | − | 1.12192i | ||||
\(92\) | 0.335967 | + | 0.400390i | 0.0350270 | + | 0.0417436i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.24620 | + | 3.42390i | 0.128535 | + | 0.353148i | ||||
\(95\) | − | 14.4421i | − | 1.48173i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.1044i | 1.53362i | 0.641872 | + | 0.766812i | \(0.278158\pi\) | ||||
−0.641872 | + | 0.766812i | \(0.721842\pi\) | |||||||
\(98\) | −5.69021 | − | 8.10071i | −0.574798 | − | 0.818295i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.22668 | + | 1.86841i | −0.222668 | + | 0.186841i | ||||
\(101\) | − | 1.88325i | − | 0.187391i | −0.995601 | − | 0.0936953i | \(-0.970132\pi\) | ||
0.995601 | − | 0.0936953i | \(-0.0298679\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 8.03690i | − | 0.791900i | −0.918272 | − | 0.395950i | \(-0.870415\pi\) | ||
0.918272 | − | 0.395950i | \(-0.129585\pi\) | |||||||
\(104\) | −9.99500 | − | 5.77062i | −0.980091 | − | 0.565856i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.63816 | + | 15.4907i | 0.547626 | + | 1.50459i | ||||
\(107\) | 1.24875 | 0.120721 | 0.0603606 | − | 0.998177i | \(-0.480775\pi\) | ||||
0.0603606 | + | 0.998177i | \(0.480775\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.15052i | 0.684896i | 0.939537 | + | 0.342448i | \(0.111256\pi\) | ||||
−0.939537 | + | 0.342448i | \(0.888744\pi\) | |||||||
\(110\) | 8.55140 | − | 3.11246i | 0.815344 | − | 0.296761i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −10.5733 | − | 0.453738i | −0.999080 | − | 0.0428742i | ||||
\(113\) | 11.0633i | 1.04075i | 0.853938 | + | 0.520375i | \(0.174208\pi\) | ||||
−0.853938 | + | 0.520375i | \(0.825792\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.492162 | −0.0458943 | ||||||||
\(116\) | 9.32375 | − | 7.82356i | 0.865688 | − | 0.726399i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.66872 | − | 2.79119i | 0.705963 | − | 0.256950i | ||||
\(119\) | 1.13284 | + | 8.55547i | 0.103847 | + | 0.784279i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.674992 | 0.0613629 | ||||||||
\(122\) | −4.15668 | − | 11.4204i | −0.376328 | − | 1.03395i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 10.3320 | + | 12.3133i | 0.927845 | + | 1.10576i | ||||
\(125\) | − | 12.1533i | − | 1.08702i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.581719 | −0.0516192 | −0.0258096 | − | 0.999667i | \(-0.508216\pi\) | ||||
−0.0258096 | + | 0.999667i | \(0.508216\pi\) | |||||||
\(128\) | −7.27231 | + | 8.66680i | −0.642788 | + | 0.766044i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 10.2121 | − | 3.71691i | 0.895663 | − | 0.325995i | ||||
\(131\) | − | 9.08283i | − | 0.793570i | −0.917912 | − | 0.396785i | \(-0.870126\pi\) | ||
0.917912 | − | 0.396785i | \(-0.129874\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.66332 | − | 20.1140i | −0.230939 | − | 1.74410i | ||||
\(134\) | 5.79020 | − | 2.10746i | 0.500197 | − | 0.182057i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.98996 | + | 4.61301i | 0.685133 | + | 0.395562i | ||||
\(137\) | 0.0907611i | 0.00775424i | 0.999992 | + | 0.00387712i | \(0.00123413\pi\) | ||||
−0.999992 | + | 0.00387712i | \(0.998766\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.32664 | 0.451800 | 0.225900 | − | 0.974151i | \(-0.427468\pi\) | ||||
0.225900 | + | 0.974151i | \(0.427468\pi\) | |||||||
\(140\) | 6.72693 | − | 7.35216i | 0.568529 | − | 0.621371i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −10.3182 | + | 3.75552i | −0.865884 | + | 0.315156i | ||||
\(143\) | 13.9423 | 1.16592 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.4608i | 0.951768i | ||||||||
\(146\) | −6.13034 | + | 2.23126i | −0.507351 | + | 0.184661i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.36959 | + | 2.82396i | 0.194779 | + | 0.232128i | ||||
\(149\) | 5.49476 | 0.450148 | 0.225074 | − | 0.974342i | \(-0.427738\pi\) | ||||
0.225074 | + | 0.974342i | \(0.427738\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −19.7297 | −1.60558 | −0.802789 | − | 0.596263i | \(-0.796652\pi\) | ||||
−0.802789 | + | 0.596263i | \(0.796652\pi\) | |||||||
\(152\) | −18.7845 | − | 10.8452i | −1.52362 | − | 0.879663i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 11.3358 | − | 5.91180i | 0.913465 | − | 0.476386i | ||||
\(155\) | −15.1355 | −1.21571 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.59369 | −0.685851 | −0.342925 | − | 0.939363i | \(-0.611418\pi\) | ||||
−0.342925 | + | 0.939363i | \(0.611418\pi\) | |||||||
\(158\) | 5.41371 | + | 14.8740i | 0.430692 | + | 1.18332i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.84992 | − | 10.4914i | −0.146249 | − | 0.829421i | ||||
\(161\) | −0.685448 | + | 0.0907611i | −0.0540208 | + | 0.00715297i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18.3281i | 1.43557i | 0.696267 | + | 0.717783i | \(0.254843\pi\) | ||||
−0.696267 | + | 0.717783i | \(0.745157\pi\) | |||||||
\(164\) | 12.4161 | − | 10.4183i | 0.969532 | − | 0.813534i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −9.40708 | + | 3.42390i | −0.730131 | + | 0.265746i | ||||
\(167\) | 3.94734 | 0.305454 | 0.152727 | − | 0.988268i | \(-0.451194\pi\) | ||||
0.152727 | + | 0.988268i | \(0.451194\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.65002 | 0.280770 | ||||||||
\(170\) | −8.16353 | + | 2.97128i | −0.626114 | + | 0.227887i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −9.51754 | − | 11.3426i | −0.725706 | − | 0.864862i | ||||
\(173\) | 25.5778i | 1.94464i | 0.233646 | + | 0.972322i | \(0.424934\pi\) | ||||
−0.233646 | + | 0.972322i | \(0.575066\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.504748 | − | 3.81197i | −0.0381553 | − | 0.288158i | ||||
\(176\) | 2.37333 | − | 13.4598i | 0.178897 | − | 1.01457i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −6.41222 | − | 17.6174i | −0.480616 | − | 1.32048i | ||||
\(179\) | 19.4577 | 1.45433 | 0.727167 | − | 0.686460i | \(-0.240836\pi\) | ||||
0.727167 | + | 0.686460i | \(0.240836\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.40708 | −0.699223 | −0.349611 | − | 0.936895i | \(-0.613686\pi\) | ||||
−0.349611 | + | 0.936895i | \(0.613686\pi\) | |||||||
\(182\) | 13.5373 | − | 7.05990i | 1.00345 | − | 0.523315i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.369585 | + | 0.640140i | −0.0272462 | + | 0.0471918i | ||||
\(185\) | −3.47123 | −0.255210 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −11.1454 | −0.815035 | ||||||||
\(188\) | −3.94734 | + | 3.31221i | −0.287889 | + | 0.241568i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 19.1925 | − | 6.98551i | 1.39237 | − | 0.506782i | ||||
\(191\) | − | 3.61244i | − | 0.261387i | −0.991423 | − | 0.130693i | \(-0.958280\pi\) | ||
0.991423 | − | 0.130693i | \(-0.0417203\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 14.0993 | 1.01489 | 0.507443 | − | 0.861685i | \(-0.330591\pi\) | ||||
0.507443 | + | 0.861685i | \(0.330591\pi\) | |||||||
\(194\) | −20.0727 | + | 7.30586i | −1.44113 | + | 0.524530i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.01295 | − | 11.4801i | 0.572354 | − | 0.820007i | ||||
\(197\) | −17.1464 | −1.22163 | −0.610816 | − | 0.791772i | \(-0.709159\pi\) | ||||
−0.610816 | + | 0.791772i | \(0.709159\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.8281i | 0.767583i | 0.923420 | + | 0.383792i | \(0.125382\pi\) | ||||
−0.923420 | + | 0.383792i | \(0.874618\pi\) | |||||||
\(200\) | −3.56000 | − | 2.05537i | −0.251730 | − | 0.145336i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.50270 | − | 0.910909i | 0.176090 | − | 0.0640913i | ||||
\(203\) | 2.11352 | + | 15.9618i | 0.148340 | + | 1.12030i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 15.2619i | 1.06594i | ||||||||
\(206\) | 10.6805 | − | 3.88737i | 0.744142 | − | 0.270846i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.83425 | − | 16.0738i | 0.196520 | − | 1.11452i | ||||
\(209\) | 26.2030 | 1.81250 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 6.56769i | − | 0.452138i | −0.974111 | − | 0.226069i | \(-0.927412\pi\) | ||
0.974111 | − | 0.226069i | \(-0.0725875\pi\) | |||||||
\(212\) | −17.8589 | + | 14.9854i | −1.22655 | + | 1.02920i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.604007 | + | 1.65950i | 0.0412891 | + | 0.113441i | ||||
\(215\) | 13.9423 | 0.950860 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −21.0797 | + | 2.79119i | −1.43098 | + | 0.189478i | ||||
\(218\) | −9.50251 | + | 3.45863i | −0.643591 | + | 0.234248i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 8.27245 | + | 9.85872i | 0.557728 | + | 0.664675i | ||||
\(221\) | −13.3099 | −0.895324 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.98029i | 0.266540i | 0.991080 | + | 0.133270i | \(0.0425478\pi\) | ||||
−0.991080 | + | 0.133270i | \(0.957452\pi\) | |||||||
\(224\) | −4.51120 | − | 14.2706i | −0.301417 | − | 0.953492i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.7023 | + | 5.35121i | −0.977985 | + | 0.355957i | ||||
\(227\) | 21.0784i | 1.39902i | 0.714623 | + | 0.699510i | \(0.246598\pi\) | ||||
−0.714623 | + | 0.699510i | \(0.753402\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.2570 | 0.743884 | 0.371942 | − | 0.928256i | \(-0.378692\pi\) | ||||
0.371942 | + | 0.928256i | \(0.378692\pi\) | |||||||
\(230\) | −0.238053 | − | 0.654046i | −0.0156968 | − | 0.0431265i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 14.9067 | + | 8.60640i | 0.978675 | + | 0.565038i | ||||
\(233\) | − | 27.9927i | − | 1.83387i | −0.399042 | − | 0.916933i | \(-0.630657\pi\) | ||
0.399042 | − | 0.916933i | \(-0.369343\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | − | 4.85208i | − | 0.316515i | ||||||
\(236\) | 7.41856 | + | 8.84110i | 0.482907 | + | 0.575507i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −10.8216 | + | 5.64365i | −0.701463 | + | 0.365824i | ||||
\(239\) | 10.5516i | 0.682526i | 0.939968 | + | 0.341263i | \(0.110855\pi\) | ||||
−0.939968 | + | 0.341263i | \(0.889145\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.87843i | 0.378663i | 0.981913 | + | 0.189331i | \(0.0606320\pi\) | ||||
−0.981913 | + | 0.189331i | \(0.939368\pi\) | |||||||
\(242\) | 0.326487 | + | 0.897015i | 0.0209874 | + | 0.0576623i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 13.1663 | − | 11.0478i | 0.842885 | − | 0.707265i | ||||
\(245\) | 3.43094 | + | 12.7285i | 0.219195 | + | 0.813192i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 31.2918 | 1.99105 | ||||||||
\(248\) | −11.3659 | + | 19.6863i | −0.721735 | + | 1.25008i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 16.1508 | − | 5.87843i | 1.02147 | − | 0.371784i | ||||
\(251\) | 8.84110i | 0.558045i | 0.960285 | + | 0.279023i | \(0.0900104\pi\) | ||||
−0.960285 | + | 0.279023i | \(0.909990\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 0.892951i | − | 0.0561394i | ||||||
\(254\) | −0.281371 | − | 0.773061i | −0.0176548 | − | 0.0485062i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.0351 | − | 5.47232i | −0.939693 | − | 0.342020i | ||||
\(257\) | 22.9411 | 1.43103 | 0.715514 | − | 0.698598i | \(-0.246192\pi\) | ||||
0.715514 | + | 0.698598i | \(0.246192\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.83448 | + | 0.640140i | −0.300400 | + | 0.0397764i | ||||
\(260\) | 9.87900 | + | 11.7733i | 0.612670 | + | 0.730151i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 12.0704 | − | 4.39327i | 0.745712 | − | 0.271417i | ||||
\(263\) | − | 9.91044i | − | 0.611104i | −0.952175 | − | 0.305552i | \(-0.901159\pi\) | ||
0.952175 | − | 0.305552i | \(-0.0988410\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 21.9522i | − | 1.34852i | ||||||
\(266\) | 25.4418 | − | 13.2683i | 1.55993 | − | 0.813530i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.60132 | + | 6.67539i | 0.342155 | + | 0.407764i | ||||
\(269\) | 7.65387i | 0.466665i | 0.972397 | + | 0.233332i | \(0.0749630\pi\) | ||||
−0.972397 | + | 0.233332i | \(0.925037\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.6805i | 0.709542i | 0.934953 | + | 0.354771i | \(0.115441\pi\) | ||||
−0.934953 | + | 0.354771i | \(0.884559\pi\) | |||||||
\(272\) | −2.26568 | + | 12.8493i | −0.137377 | + | 0.779105i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.120615 | + | 0.0439002i | −0.00728660 | + | 0.00265211i | ||||
\(275\) | 4.96595 | 0.299458 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − | 18.8337i | − | 1.13161i | −0.824540 | − | 0.565804i | \(-0.808566\pi\) | ||
0.824540 | − | 0.565804i | \(-0.191434\pi\) | |||||||
\(278\) | 2.57644 | + | 7.07871i | 0.154525 | + | 0.424553i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 13.0242 | + | 5.38343i | 0.778346 | + | 0.321722i | ||||
\(281\) | 26.2508i | 1.56599i | 0.622027 | + | 0.782996i | \(0.286309\pi\) | ||||
−0.622027 | + | 0.782996i | \(0.713691\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 18.6639 | 1.10945 | 0.554726 | − | 0.832033i | \(-0.312823\pi\) | ||||
0.554726 | + | 0.832033i | \(0.312823\pi\) | |||||||
\(284\) | −9.98161 | − | 11.8956i | −0.592300 | − | 0.705875i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.74376 | + | 18.5283i | 0.398767 | + | 1.09560i | ||||
\(287\) | 2.81449 | + | 21.2557i | 0.166134 | + | 1.25468i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.36009 | −0.374123 | ||||||||
\(290\) | −15.2306 | + | 5.54347i | −0.894369 | + | 0.325524i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −5.93037 | − | 7.06753i | −0.347048 | − | 0.413596i | ||||
\(293\) | 17.8031i | 1.04007i | 0.854146 | + | 0.520033i | \(0.174080\pi\) | ||||
−0.854146 | + | 0.520033i | \(0.825920\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −10.8675 | −0.632732 | ||||||||
\(296\) | −2.60669 | + | 4.51492i | −0.151511 | + | 0.262425i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.65776 | + | 7.30212i | 0.153960 | + | 0.423001i | ||||
\(299\) | − | 1.06637i | − | 0.0616696i | ||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 19.4179 | − | 2.57115i | 1.11923 | − | 0.148199i | ||||
\(302\) | −9.54304 | − | 26.2193i | −0.549140 | − | 1.50875i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.32664 | − | 30.2089i | 0.305504 | − | 1.73260i | ||||
\(305\) | 16.1841i | 0.926697i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −26.4829 | −1.51146 | −0.755729 | − | 0.654884i | \(-0.772717\pi\) | ||||
−0.755729 | + | 0.654884i | \(0.772717\pi\) | |||||||
\(308\) | 13.3394 | + | 12.2050i | 0.760080 | + | 0.695443i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.32089 | − | 20.1140i | −0.415799 | − | 1.14240i | ||||
\(311\) | −17.8897 | −1.01443 | −0.507215 | − | 0.861819i | \(-0.669325\pi\) | ||||
−0.507215 | + | 0.861819i | \(0.669325\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 20.9829i | − | 1.18602i | −0.805194 | − | 0.593011i | \(-0.797939\pi\) | ||
0.805194 | − | 0.593011i | \(-0.202061\pi\) | |||||||
\(314\) | −4.15668 | − | 11.4204i | −0.234575 | − | 0.644489i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −17.1480 | + | 14.3888i | −0.964648 | + | 0.809436i | ||||
\(317\) | 31.3335 | 1.75987 | 0.879933 | − | 0.475098i | \(-0.157587\pi\) | ||||
0.879933 | + | 0.475098i | \(0.157587\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −20.7939 | −1.16423 | ||||||||
\(320\) | 13.0476 | − | 7.53301i | 0.729380 | − | 0.421108i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.452159 | − | 0.867009i | −0.0251978 | − | 0.0483165i | ||||
\(323\) | −25.0145 | −1.39184 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.93037 | 0.328958 | ||||||||
\(326\) | −24.3567 | + | 8.86510i | −1.34899 | + | 0.490992i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 19.8507 | + | 11.4608i | 1.09607 | + | 0.632817i | ||||
\(329\) | −0.894788 | − | 6.75764i | −0.0493313 | − | 0.372561i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.0180i | 0.990356i | 0.868791 | + | 0.495178i | \(0.164897\pi\) | ||||
−0.868791 | + | 0.495178i | \(0.835103\pi\) | |||||||
\(332\) | −9.10022 | − | 10.8452i | −0.499439 | − | 0.595208i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.90928 | + | 5.24572i | 0.104471 | + | 0.287033i | ||||
\(335\) | −8.20543 | −0.448310 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.77837 | −0.151348 | −0.0756738 | − | 0.997133i | \(-0.524111\pi\) | ||||
−0.0756738 | + | 0.997133i | \(0.524111\pi\) | |||||||
\(338\) | 1.76547 | + | 4.85060i | 0.0960291 | + | 0.263838i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −7.89723 | − | 9.41155i | −0.428287 | − | 0.510413i | ||||
\(341\) | − | 27.4610i | − | 1.48710i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.12567 | + | 17.0946i | 0.384750 | + | 0.923021i | ||||
\(344\) | 10.4699 | − | 18.1344i | 0.564499 | − | 0.977741i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −33.9910 | + | 12.3717i | −1.82737 | + | 0.665107i | ||||
\(347\) | −2.51157 | −0.134828 | −0.0674142 | − | 0.997725i | \(-0.521475\pi\) | ||||
−0.0674142 | + | 0.997725i | \(0.521475\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.75944 | 0.308296 | 0.154148 | − | 0.988048i | \(-0.450737\pi\) | ||||
0.154148 | + | 0.988048i | \(0.450737\pi\) | |||||||
\(350\) | 4.82168 | − | 2.51458i | 0.257730 | − | 0.134410i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 19.0351 | − | 3.35640i | 1.01457 | − | 0.178897i | ||||
\(353\) | 28.0940 | 1.49529 | 0.747647 | − | 0.664097i | \(-0.231184\pi\) | ||||
0.747647 | + | 0.664097i | \(0.231184\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 14.6222 | 0.776064 | ||||||||
\(356\) | 20.3107 | − | 17.0427i | 1.07647 | − | 0.903263i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.41147 | + | 25.8578i | 0.497412 | + | 1.36663i | ||||
\(359\) | − | 15.9084i | − | 0.839616i | −0.907613 | − | 0.419808i | \(-0.862097\pi\) | ||
0.907613 | − | 0.419808i | \(-0.137903\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 39.8093 | 2.09523 | ||||||||
\(362\) | −4.55011 | − | 12.5013i | −0.239148 | − | 0.657055i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.9299 | + | 14.5752i | 0.834955 | + | 0.763950i | ||||
\(365\) | 8.68745 | 0.454722 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.0935i | 0.631276i | 0.948880 | + | 0.315638i | \(0.102219\pi\) | ||||
−0.948880 | + | 0.315638i | \(0.897781\pi\) | |||||||
\(368\) | −1.02946 | − | 0.181522i | −0.0536645 | − | 0.00946250i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.67900 | − | 4.61301i | −0.0872869 | − | 0.239819i | ||||
\(371\) | −4.04828 | − | 30.5735i | −0.210176 | − | 1.58730i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.6907i | 0.657102i | 0.944486 | + | 0.328551i | \(0.106560\pi\) | ||||
−0.944486 | + | 0.328551i | \(0.893440\pi\) | |||||||
\(374\) | −5.39093 | − | 14.8115i | −0.278759 | − | 0.765883i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.31096 | − | 3.64364i | −0.325463 | − | 0.187906i | ||||
\(377\) | −24.8321 | −1.27892 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 21.3744i | − | 1.09793i | −0.835846 | − | 0.548963i | \(-0.815023\pi\) | ||
0.835846 | − | 0.548963i | \(-0.184977\pi\) | |||||||
\(380\) | 18.5665 | + | 22.1266i | 0.952439 | + | 1.13507i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.80066 | − | 1.74730i | 0.245623 | − | 0.0893995i | ||||
\(383\) | −19.0952 | −0.975720 | −0.487860 | − | 0.872922i | \(-0.662222\pi\) | ||||
−0.487860 | + | 0.872922i | \(0.662222\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −16.8776 | + | 2.23479i | −0.860164 | + | 0.113895i | ||||
\(386\) | 6.81966 | + | 18.7369i | 0.347112 | + | 0.953682i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −19.4179 | − | 23.1413i | −0.985794 | − | 1.17482i | ||||
\(389\) | −13.9057 | −0.705048 | −0.352524 | − | 0.935803i | \(-0.614677\pi\) | ||||
−0.352524 | + | 0.935803i | \(0.614677\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.852449i | 0.0431102i | ||||||||
\(392\) | 19.1320 | + | 5.09582i | 0.966311 | + | 0.257378i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −8.29355 | − | 22.7863i | −0.417823 | − | 1.14796i | ||||
\(395\) | − | 21.0784i | − | 1.06057i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −14.9046 | −0.748043 | −0.374021 | − | 0.927420i | \(-0.622021\pi\) | ||||
−0.374021 | + | 0.927420i | \(0.622021\pi\) | |||||||
\(398\) | −14.3897 | + | 5.23743i | −0.721292 | + | 0.262529i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.00950 | − | 5.72513i | 0.0504748 | − | 0.286257i | ||||
\(401\) | − | 22.3989i | − | 1.11855i | −0.828983 | − | 0.559274i | \(-0.811080\pi\) | ||
0.828983 | − | 0.559274i | \(-0.188920\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 32.7941i | − | 1.63359i | ||||||
\(404\) | 2.42106 | + | 2.88531i | 0.120452 | + | 0.143549i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −20.1897 | + | 10.5293i | −1.00200 | + | 0.522559i | ||||
\(407\) | − | 6.29801i | − | 0.312181i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | − | 38.4655i | − | 1.90200i | −0.309195 | − | 0.950999i | \(-0.600059\pi\) | ||
0.309195 | − | 0.950999i | \(-0.399941\pi\) | |||||||
\(410\) | −20.2819 | + | 7.38202i | −1.00165 | + | 0.364572i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 10.3320 | + | 12.3133i | 0.509023 | + | 0.606630i | ||||
\(413\) | −15.1355 | + | 2.00411i | −0.744770 | + | 0.0986160i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 13.3310 | 0.654393 | ||||||||
\(416\) | 22.7318 | − | 4.00823i | 1.11452 | − | 0.196520i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 12.6741 | + | 34.8219i | 0.619912 | + | 1.70319i | ||||
\(419\) | − | 35.6061i | − | 1.73947i | −0.493516 | − | 0.869736i | \(-0.664289\pi\) | ||
0.493516 | − | 0.869736i | \(-0.335711\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.2520i | 0.792072i | 0.918235 | + | 0.396036i | \(0.129614\pi\) | ||||
−0.918235 | + | 0.396036i | \(0.870386\pi\) | |||||||
\(422\) | 8.72797 | − | 3.17672i | 0.424871 | − | 0.154640i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −28.5526 | − | 16.4849i | −1.38664 | − | 0.800576i | ||||
\(425\) | −4.74071 | −0.229958 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.98456 | + | 22.5400i | 0.144433 | + | 1.09079i | ||||
\(428\) | −1.91320 | + | 1.60536i | −0.0924778 | + | 0.0775981i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 6.74376 | + | 18.5283i | 0.325213 | + | 0.893516i | ||||
\(431\) | − | 31.3959i | − | 1.51229i | −0.654405 | − | 0.756144i | \(-0.727081\pi\) | ||
0.654405 | − | 0.756144i | \(-0.272919\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 9.22601i | − | 0.443374i | −0.975118 | − | 0.221687i | \(-0.928844\pi\) | ||
0.975118 | − | 0.221687i | \(-0.0711563\pi\) | |||||||
\(434\) | −13.9053 | − | 26.6632i | −0.667475 | − | 1.27988i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.19253 | − | 10.9552i | −0.440243 | − | 0.524661i | ||||
\(437\) | − | 2.00411i | − | 0.0958698i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 21.3195i | 1.01753i | 0.860907 | + | 0.508763i | \(0.169897\pi\) | ||||
−0.860907 | + | 0.508763i | \(0.830103\pi\) | |||||||
\(440\) | −9.10022 | + | 15.7620i | −0.433836 | + | 0.751426i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.43788 | − | 17.6879i | −0.306219 | − | 0.841329i | ||||
\(443\) | 32.7395 | 1.55550 | 0.777750 | − | 0.628574i | \(-0.216361\pi\) | ||||
0.777750 | + | 0.628574i | \(0.216361\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 24.9661i | 1.18350i | ||||||||
\(446\) | −5.28952 | + | 1.92523i | −0.250466 | + | 0.0911621i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 16.7825 | − | 12.8976i | 0.792899 | − | 0.609353i | ||||
\(449\) | 10.1995i | 0.481344i | 0.970607 | + | 0.240672i | \(0.0773678\pi\) | ||||
−0.970607 | + | 0.240672i | \(0.922632\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −27.6903 | −1.30389 | ||||||||
\(452\) | −14.2227 | − | 16.9500i | −0.668981 | − | 0.797260i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −28.0116 | + | 10.1954i | −1.31465 | + | 0.478493i | ||||
\(455\) | −20.1554 | + | 2.66880i | −0.944898 | + | 0.125115i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.00000 | −0.187112 | −0.0935561 | − | 0.995614i | \(-0.529823\pi\) | ||||
−0.0935561 | + | 0.995614i | \(0.529823\pi\) | |||||||
\(458\) | 5.44490 | + | 14.9597i | 0.254423 | + | 0.699022i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.754035 | − | 0.632711i | 0.0351571 | − | 0.0295003i | ||||
\(461\) | − | 10.8083i | − | 0.503393i | −0.967806 | − | 0.251696i | \(-0.919012\pi\) | ||
0.967806 | − | 0.251696i | \(-0.0809884\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −23.3601 | −1.08564 | −0.542818 | − | 0.839851i | \(-0.682643\pi\) | ||||
−0.542818 | + | 0.839851i | \(0.682643\pi\) | |||||||
\(464\) | −4.22705 | + | 23.9728i | −0.196236 | + | 1.11291i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 37.2003 | − | 13.5398i | 1.72327 | − | 0.627219i | ||||
\(467\) | 18.9903i | 0.878766i | 0.898300 | + | 0.439383i | \(0.144803\pi\) | ||||
−0.898300 | + | 0.439383i | \(0.855197\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −11.4279 | + | 1.51319i | −0.527693 | + | 0.0698726i | ||||
\(470\) | 6.44806 | − | 2.34690i | 0.297427 | − | 0.108255i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.16089 | + | 14.1351i | −0.375635 | + | 0.650619i | ||||
\(473\) | 25.2962i | 1.16312i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 11.1454 | 0.511388 | ||||||||
\(476\) | −12.7343 | − | 11.6514i | −0.583676 | − | 0.534040i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −14.0223 | + | 5.10370i | −0.641365 | + | 0.233438i | ||||
\(479\) | −36.1980 | −1.65393 | −0.826965 | − | 0.562253i | \(-0.809935\pi\) | ||||
−0.826965 | + | 0.562253i | \(0.809935\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 7.52111i | − | 0.342933i | ||||||
\(482\) | −7.81200 | + | 2.84333i | −0.355827 | + | 0.129510i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.03415 | + | 0.867753i | −0.0470067 | + | 0.0394433i | ||||
\(485\) | 28.4455 | 1.29164 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −25.1189 | −1.13824 | −0.569122 | − | 0.822253i | \(-0.692717\pi\) | ||||
−0.569122 | + | 0.822253i | \(0.692717\pi\) | |||||||
\(488\) | 21.0501 | + | 12.1533i | 0.952895 | + | 0.550154i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −15.2557 | + | 10.7161i | −0.689181 | + | 0.484104i | ||||
\(491\) | 14.4777 | 0.653367 | 0.326684 | − | 0.945134i | \(-0.394069\pi\) | ||||
0.326684 | + | 0.945134i | \(0.394069\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.8507 | 0.894030 | ||||||||
\(494\) | 15.1355 | + | 41.5845i | 0.680979 | + | 1.87097i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −31.6592 | − | 5.58237i | −1.42154 | − | 0.250656i | ||||
\(497\) | 20.3647 | − | 2.69652i | 0.913482 | − | 0.120955i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.04693i | 0.181166i | 0.995889 | + | 0.0905828i | \(0.0288730\pi\) | ||||
−0.995889 | + | 0.0905828i | \(0.971127\pi\) | |||||||
\(500\) | 15.6240 | + | 18.6199i | 0.698726 | + | 0.832709i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −11.7492 | + | 4.27635i | −0.524391 | + | 0.190863i | ||||
\(503\) | 7.72932 | 0.344633 | 0.172317 | − | 0.985042i | \(-0.444875\pi\) | ||||
0.172317 | + | 0.985042i | \(0.444875\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.54664 | −0.157823 | ||||||||
\(506\) | 1.18667 | − | 0.431911i | 0.0527537 | − | 0.0192008i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.891245 | − | 0.747843i | 0.0395426 | − | 0.0331802i | ||||
\(509\) | − | 17.4327i | − | 0.772692i | −0.922354 | − | 0.386346i | \(-0.873737\pi\) | ||
0.922354 | − | 0.386346i | \(-0.126263\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 12.0993 | − | 1.60208i | 0.535240 | − | 0.0708718i | ||||
\(512\) | − | 22.6274i | − | 1.00000i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 11.0964 | + | 30.4871i | 0.489441 | + | 1.34473i | ||||
\(515\) | −15.1355 | −0.666950 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.80336 | 0.387171 | ||||||||
\(518\) | −3.18909 | − | 6.11504i | −0.140120 | − | 0.268679i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −10.8675 | + | 18.8231i | −0.476573 | + | 0.825448i | ||||
\(521\) | −40.8308 | −1.78883 | −0.894415 | − | 0.447238i | \(-0.852408\pi\) | ||||
−0.894415 | + | 0.447238i | \(0.852408\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −31.3174 | −1.36941 | −0.684706 | − | 0.728819i | \(-0.740070\pi\) | ||||
−0.684706 | + | 0.728819i | \(0.740070\pi\) | |||||||
\(524\) | 11.6767 | + | 13.9157i | 0.510097 | + | 0.607910i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.1702 | − | 4.79358i | 0.574250 | − | 0.209010i | ||||
\(527\) | 26.2155i | 1.14196i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 22.9317 | 0.997031 | ||||||||
\(530\) | 29.1729 | − | 10.6181i | 1.26719 | − | 0.461219i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 29.9385 | + | 27.3925i | 1.29800 | + | 1.18762i | ||||
\(533\) | −33.0680 | −1.43233 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 2.35171i | − | 0.101673i | ||||||
\(536\) | −6.16180 | + | 10.6726i | −0.266149 | + | 0.460984i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −10.1714 | + | 3.70210i | −0.438521 | + | 0.159609i | ||||
\(539\) | −23.0938 | + | 6.22491i | −0.994722 | + | 0.268126i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 42.7991i | − | 1.84008i | −0.391828 | − | 0.920039i | \(-0.628157\pi\) | ||
0.391828 | − | 0.920039i | \(-0.371843\pi\) | |||||||
\(542\) | −15.5226 | + | 5.64975i | −0.666752 | + | 0.242678i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −18.1717 | + | 3.20416i | −0.779105 | + | 0.137377i | ||||
\(545\) | 13.4662 | 0.576830 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.61397i | 0.411064i | 0.978650 | + | 0.205532i | \(0.0658924\pi\) | ||||
−0.978650 | + | 0.205532i | \(0.934108\pi\) | |||||||
\(548\) | −0.116680 | − | 0.139054i | −0.00498433 | − | 0.00594009i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.40198 | + | 6.59938i | 0.102421 | + | 0.281399i | ||||
\(551\) | −46.6691 | −1.98817 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.88713 | − | 29.3564i | −0.165297 | − | 1.24836i | ||||
\(554\) | 25.0286 | − | 9.10966i | 1.06336 | − | 0.387032i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.16089 | + | 6.84780i | −0.346099 | + | 0.290411i | ||||
\(557\) | −7.14326 | −0.302669 | −0.151335 | − | 0.988483i | \(-0.548357\pi\) | ||||
−0.151335 | + | 0.988483i | \(0.548357\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.2089i | 1.27770i | ||||||||
\(560\) | −0.854502 | + | 19.9121i | −0.0361093 | + | 0.841441i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −34.8854 | + | 12.6972i | −1.47155 | + | 0.535601i | ||||
\(563\) | − | 3.07048i | − | 0.129405i | −0.997905 | − | 0.0647027i | \(-0.979390\pi\) | ||
0.997905 | − | 0.0647027i | \(-0.0206099\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 20.8350 | 0.876536 | ||||||||
\(566\) | 9.02751 | + | 24.8029i | 0.379455 | + | 1.04254i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 10.9804 | − | 19.0186i | 0.460727 | − | 0.798003i | ||||
\(569\) | − | 22.1544i | − | 0.928759i | −0.885636 | − | 0.464380i | \(-0.846277\pi\) | ||
0.885636 | − | 0.464380i | \(-0.153723\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.64858i | 0.278234i | 0.990276 | + | 0.139117i | \(0.0444265\pi\) | ||||
−0.990276 | + | 0.139117i | \(0.955574\pi\) | |||||||
\(572\) | −21.3609 | + | 17.9239i | −0.893144 | + | 0.749437i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −26.8859 | + | 14.0214i | −1.12219 | + | 0.585242i | ||||
\(575\) | − | 0.379816i | − | 0.0158394i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 23.3611i | 0.972535i | 0.873810 | + | 0.486267i | \(0.161642\pi\) | ||||
−0.873810 | + | 0.486267i | \(0.838358\pi\) | |||||||
\(578\) | −3.07631 | − | 8.45209i | −0.127958 | − | 0.351561i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −14.7337 | − | 17.5590i | −0.611785 | − | 0.729096i | ||||
\(581\) | 18.5665 | − | 2.45841i | 0.770266 | − | 0.101992i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 39.8289 | 1.64955 | ||||||||
\(584\) | 6.52378 | − | 11.2995i | 0.269956 | − | 0.467577i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −23.6590 | + | 8.61115i | −0.977342 | + | 0.355724i | ||||
\(587\) | − | 17.4696i | − | 0.721049i | −0.932750 | − | 0.360524i | \(-0.882598\pi\) | ||
0.932750 | − | 0.360524i | \(-0.117402\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 61.6328i | − | 2.53954i | ||||||
\(590\) | −5.25651 | − | 14.4421i | −0.216407 | − | 0.594573i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.26083 | − | 1.28028i | −0.298418 | − | 0.0526192i | ||||
\(593\) | 10.2043 | 0.419042 | 0.209521 | − | 0.977804i | \(-0.432810\pi\) | ||||
0.209521 | + | 0.977804i | \(0.432810\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 16.1121 | − | 2.13343i | 0.660532 | − | 0.0874619i | ||||
\(596\) | −8.41846 | + | 7.06392i | −0.344833 | + | 0.289350i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.41712 | − | 0.515791i | 0.0579505 | − | 0.0210922i | ||||
\(599\) | − | 11.3743i | − | 0.464740i | −0.972627 | − | 0.232370i | \(-0.925352\pi\) | ||
0.972627 | − | 0.232370i | \(-0.0746480\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | − | 17.7787i | − | 0.725209i | −0.931943 | − | 0.362604i | \(-0.881888\pi\) | ||
0.931943 | − | 0.362604i | \(-0.118112\pi\) | |||||||
\(602\) | 12.8091 | + | 24.5613i | 0.522060 | + | 1.00104i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 30.2276 | − | 25.3640i | 1.22994 | − | 1.03205i | ||||
\(605\) | − | 1.27118i | − | 0.0516808i | ||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 23.0244i | − | 0.934532i | −0.884117 | − | 0.467266i | \(-0.845239\pi\) | ||
0.884117 | − | 0.467266i | \(-0.154761\pi\) | |||||||
\(608\) | 42.7218 | − | 7.53301i | 1.73260 | − | 0.305504i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −21.5074 | + | 7.82807i | −0.870811 | + | 0.316949i | ||||
\(611\) | 10.5130 | 0.425311 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 36.6561i | 1.48053i | 0.672316 | + | 0.740264i | \(0.265299\pi\) | ||||
−0.672316 | + | 0.740264i | \(0.734701\pi\) | |||||||
\(614\) | −12.8095 | − | 35.1938i | −0.516949 | − | 1.42031i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −9.76740 | + | 23.6304i | −0.393540 | + | 0.952097i | ||||
\(617\) | − | 29.4758i | − | 1.18665i | −0.804962 | − | 0.593326i | \(-0.797815\pi\) | ||
0.804962 | − | 0.593326i | \(-0.202185\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −22.5140 | −0.904915 | −0.452457 | − | 0.891786i | \(-0.649452\pi\) | ||||
−0.452457 | + | 0.891786i | \(0.649452\pi\) | |||||||
\(620\) | 23.1890 | − | 19.4578i | 0.931291 | − | 0.781446i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −8.65305 | − | 23.7741i | −0.346956 | − | 0.953253i | ||||
\(623\) | 4.60407 | + | 34.7709i | 0.184458 | + | 1.39307i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15.6209 | −0.624837 | ||||||||
\(626\) | 27.8847 | − | 10.1492i | 1.11450 | − | 0.405643i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 13.1663 | − | 11.0478i | 0.525392 | − | 0.440856i | ||||
\(629\) | 6.01234i | 0.239728i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.8425 | −0.789919 | −0.394960 | − | 0.918698i | \(-0.629241\pi\) | ||||
−0.394960 | + | 0.918698i | \(0.629241\pi\) | |||||||
\(632\) | −27.4160 | − | 15.8286i | −1.09055 | − | 0.629629i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 15.1557 | + | 41.6399i | 0.601910 | + | 1.65373i | ||||
\(635\) | 1.09552i | 0.0434745i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −27.5788 | + | 7.43383i | −1.09271 | + | 0.294539i | ||||
\(638\) | −10.0578 | − | 27.6335i | −0.398191 | − | 1.09402i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 16.3218 | + | 13.6956i | 0.645175 | + | 0.541366i | ||||
\(641\) | 18.3848i | 0.726155i | 0.931759 | + | 0.363078i | \(0.118274\pi\) | ||||
−0.931759 | + | 0.363078i | \(0.881726\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 23.3480 | 0.920756 | 0.460378 | − | 0.887723i | \(-0.347714\pi\) | ||||
0.460378 | + | 0.887723i | \(0.347714\pi\) | |||||||
\(644\) | 0.933486 | − | 1.02025i | 0.0367845 | − | 0.0402034i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.0993 | − | 33.2424i | −0.476039 | − | 1.30791i | ||||
\(647\) | 34.0977 | 1.34052 | 0.670259 | − | 0.742127i | \(-0.266183\pi\) | ||||
0.670259 | + | 0.742127i | \(0.266183\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 19.7174i | − | 0.773977i | ||||||
\(650\) | 2.86846 | + | 7.88102i | 0.112510 | + | 0.309119i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −23.5621 | − | 28.0802i | −0.922764 | − | 1.09971i | ||||
\(653\) | −13.7155 | −0.536728 | −0.268364 | − | 0.963318i | \(-0.586483\pi\) | ||||
−0.268364 | + | 0.963318i | \(0.586483\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −17.1052 | −0.668357 | ||||||||
\(656\) | −5.62899 | + | 31.9236i | −0.219775 | + | 1.24641i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 8.54760 | − | 4.45771i | 0.333220 | − | 0.173779i | ||||
\(659\) | 35.1410 | 1.36890 | 0.684449 | − | 0.729061i | \(-0.260043\pi\) | ||||
0.684449 | + | 0.729061i | \(0.260043\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 7.38623 | 0.287291 | 0.143646 | − | 0.989629i | \(-0.454117\pi\) | ||||
0.143646 | + | 0.989629i | \(0.454117\pi\) | |||||||
\(662\) | −23.9445 | + | 8.71510i | −0.930631 | + | 0.338722i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 10.0108 | − | 17.3392i | 0.388495 | − | 0.672893i | ||||
\(665\) | −37.8797 | + | 5.01570i | −1.46891 | + | 0.194501i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.59040i | 0.0615805i | ||||||||
\(668\) | −6.04767 | + | 5.07460i | −0.233991 | + | 0.196342i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −3.96888 | − | 10.9044i | −0.153331 | − | 0.421274i | ||||
\(671\) | −29.3635 | −1.13357 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.453363 | 0.0174759 | 0.00873793 | − | 0.999962i | \(-0.497219\pi\) | ||||
0.00873793 | + | 0.999962i | \(0.497219\pi\) | |||||||
\(674\) | −1.34387 | − | 3.69225i | −0.0517639 | − | 0.142220i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.59215 | + | 4.69237i | −0.215083 | + | 0.180476i | ||||
\(677\) | 8.80419i | 0.338372i | 0.985584 | + | 0.169186i | \(0.0541139\pi\) | ||||
−0.985584 | + | 0.169186i | \(0.945886\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 39.6168 | − | 5.24572i | 1.52035 | − | 0.201312i | ||||
\(680\) | 8.68745 | − | 15.0471i | 0.333149 | − | 0.577030i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 36.4937 | − | 13.2826i | 1.39742 | − | 0.508618i | ||||
\(683\) | 14.3535 | 0.549221 | 0.274610 | − | 0.961556i | \(-0.411451\pi\) | ||||
0.274610 | + | 0.961556i | \(0.411451\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.170926 | 0.00653074 | ||||||||
\(686\) | −19.2708 | + | 17.7380i | −0.735764 | + | 0.677238i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 29.1634 | + | 5.14230i | 1.11185 | + | 0.196048i | ||||
\(689\) | 47.5639 | 1.81204 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.3066 | 0.810540 | 0.405270 | − | 0.914197i | \(-0.367178\pi\) | ||||
0.405270 | + | 0.914197i | \(0.367178\pi\) | |||||||
\(692\) | −32.8822 | − | 39.1875i | −1.24999 | − | 1.48968i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −1.21482 | − | 3.33770i | −0.0461140 | − | 0.126697i | ||||
\(695\) | − | 10.0314i | − | 0.380513i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 26.4344 | 1.00127 | ||||||||
\(698\) | 2.78578 | + | 7.65387i | 0.105443 | + | 0.289703i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.67389 | + | 5.19138i | 0.214453 | + | 0.196216i | ||||
\(701\) | 15.7594 | 0.595226 | 0.297613 | − | 0.954687i | \(-0.403810\pi\) | ||||
0.297613 | + | 0.954687i | \(0.403810\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 14.1351i | − | 0.533114i | ||||||
\(704\) | 13.6675 | + | 23.6728i | 0.515112 | + | 0.892201i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 13.5888 | + | 37.3349i | 0.511421 | + | 1.40512i | ||||
\(707\) | −4.93950 | + | 0.654046i | −0.185769 | + | 0.0245979i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.1051i | 0.642396i | 0.947012 | + | 0.321198i | \(0.104085\pi\) | ||||
−0.947012 | + | 0.321198i | \(0.895915\pi\) | |||||||
\(710\) | 7.07259 | + | 19.4318i | 0.265429 | + | 0.729261i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 32.4726 | + | 18.7481i | 1.21696 | + | 0.702614i | ||||
\(713\) | −2.10033 | −0.0786581 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 26.2569i | − | 0.981954i | ||||||
\(716\) | −29.8109 | + | 25.0143i | −1.11409 | + | 0.934829i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 21.1411 | − | 7.69475i | 0.788981 | − | 0.287165i | ||||
\(719\) | 31.0451 | 1.15779 | 0.578894 | − | 0.815403i | \(-0.303484\pi\) | ||||
0.578894 | + | 0.815403i | \(0.303484\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.0797 | + | 2.79119i | −0.785048 | + | 0.103949i | ||||
\(722\) | 19.2554 | + | 52.9037i | 0.716610 | + | 1.96887i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 14.4125 | − | 12.0935i | 0.535636 | − | 0.449452i | ||||
\(725\) | −8.84465 | −0.328482 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 1.18911i | − | 0.0441016i | −0.999757 | − | 0.0220508i | \(-0.992980\pi\) | ||
0.999757 | − | 0.0220508i | \(-0.00701955\pi\) | |||||||
\(728\) | −11.6643 | + | 28.2196i | −0.432307 | + | 1.04589i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.20203 | + | 11.5450i | 0.155524 | + | 0.427299i | ||||
\(731\) | − | 24.1488i | − | 0.893177i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 47.6004 | 1.75816 | 0.879080 | − | 0.476674i | \(-0.158158\pi\) | ||||
0.879080 | + | 0.476674i | \(0.158158\pi\) | |||||||
\(734\) | −16.0714 | + | 5.84951i | −0.593206 | + | 0.215909i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.256711 | − | 1.45588i | −0.00946250 | − | 0.0536645i | ||||
\(737\) | − | 14.8875i | − | 0.548387i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 52.4237i | 1.92844i | 0.265111 | + | 0.964218i | \(0.414591\pi\) | ||||
−0.265111 | + | 0.964218i | \(0.585409\pi\) | |||||||
\(740\) | 5.31823 | − | 4.46252i | 0.195502 | − | 0.164046i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 38.6718 | − | 20.1679i | 1.41969 | − | 0.740389i | ||||
\(743\) | − | 3.77206i | − | 0.138384i | −0.997603 | − | 0.0691918i | \(-0.977958\pi\) | ||
0.997603 | − | 0.0691918i | \(-0.0220420\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 10.3480i | − | 0.379122i | ||||||
\(746\) | −16.8651 | + | 6.13838i | −0.617474 | + | 0.224742i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 17.0758 | − | 14.3283i | 0.624353 | − | 0.523895i | ||||
\(749\) | −0.433686 | − | 3.27530i | −0.0158466 | − | 0.119677i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.301289 | 0.0109942 | 0.00549709 | − | 0.999985i | \(-0.498250\pi\) | ||||
0.00549709 | + | 0.999985i | \(0.498250\pi\) | |||||||
\(752\) | 1.78958 | − | 10.1492i | 0.0652591 | − | 0.370103i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −12.0110 | − | 33.0001i | −0.437416 | − | 1.20179i | ||||
\(755\) | 37.1559i | 1.35224i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.62846i | 0.0955329i | 0.998859 | + | 0.0477665i | \(0.0152103\pi\) | ||||
−0.998859 | + | 0.0477665i | \(0.984790\pi\) | |||||||
\(758\) | 28.4049 | − | 10.3386i | 1.03171 | − | 0.375513i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −20.4243 | + | 35.3759i | −0.740866 | + | 1.28322i | ||||
\(761\) | −18.0990 | −0.656089 | −0.328044 | − | 0.944662i | \(-0.606390\pi\) | ||||
−0.328044 | + | 0.944662i | \(0.606390\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 18.7548 | − | 2.48335i | 0.678970 | − | 0.0899033i | ||||
\(764\) | 4.64406 | + | 5.53457i | 0.168016 | + | 0.200234i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.23616 | − | 25.3761i | −0.333716 | − | 0.916877i | ||||
\(767\) | − | 23.5467i | − | 0.850221i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 24.1870i | 0.872206i | 0.899897 | + | 0.436103i | \(0.143642\pi\) | ||||
−0.899897 | + | 0.436103i | \(0.856358\pi\) | |||||||
\(770\) | −11.1334 | − | 21.3482i | −0.401220 | − | 0.769335i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −21.6013 | + | 18.1257i | −0.777448 | + | 0.652357i | ||||
\(773\) | − | 12.0324i | − | 0.432777i | −0.976307 | − | 0.216388i | \(-0.930572\pi\) | ||
0.976307 | − | 0.216388i | \(-0.0694278\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 11.6805i | − | 0.419577i | ||||||
\(776\) | 21.3609 | − | 36.9982i | 0.766812 | − | 1.32816i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −6.72605 | − | 18.4797i | −0.241141 | − | 0.662529i | ||||
\(779\) | −62.1474 | −2.22666 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 26.5296i | 0.949305i | ||||||||
\(782\) | −1.13284 | + | 0.412321i | −0.0405103 | + | 0.0147446i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 2.48197 | + | 27.8898i | 0.0886418 | + | 0.996064i | ||||
\(785\) | 16.1841i | 0.577634i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 31.5405 | 1.12430 | 0.562149 | − | 0.827036i | \(-0.309975\pi\) | ||||
0.562149 | + | 0.827036i | \(0.309975\pi\) | |||||||
\(788\) | 26.2699 | − | 22.0430i | 0.935825 | − | 0.785250i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 28.0116 | − | 10.1954i | 0.996607 | − | 0.362735i | ||||
\(791\) | 29.0175 | − | 3.84225i | 1.03174 | − | 0.136615i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −35.0660 | −1.24523 | ||||||||
\(794\) | −7.20922 | − | 19.8072i | −0.255846 | − | 0.702930i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −13.9203 | − | 16.5896i | −0.493393 | − | 0.588003i | ||||
\(797\) | 52.4268i | 1.85705i | 0.371268 | + | 0.928526i | \(0.378923\pi\) | ||||
−0.371268 | + | 0.928526i | \(0.621077\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.40406 | −0.297314 | ||||||||
\(800\) | 8.09656 | − | 1.42764i | 0.286257 | − | 0.0504748i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 29.7665 | − | 10.8341i | 1.05109 | − | 0.382566i | ||||
\(803\) | 15.7620i | 0.556230i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.170926 | + | 1.29087i | 0.00602435 | + | 0.0454972i | ||||
\(806\) | 43.5810 | − | 15.8622i | 1.53507 | − | 0.558721i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.66332 | + | 4.61301i | −0.0936953 | + | 0.162285i | ||||
\(809\) | 15.5782i | 0.547702i | 0.961772 | + | 0.273851i | \(0.0882975\pi\) | ||||
−0.961772 | + | 0.273851i | \(0.911703\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 39.4783 | 1.38627 | 0.693135 | − | 0.720808i | \(-0.256229\pi\) | ||||
0.693135 | + | 0.720808i | \(0.256229\pi\) | |||||||
\(812\) | −23.7582 | − | 21.7378i | −0.833749 | − | 0.762847i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 8.36959 | − | 3.04628i | 0.293354 | − | 0.106772i | ||||
\(815\) | 34.5164 | 1.20906 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 56.7741i | 1.98627i | ||||||||
\(818\) | 51.1178 | − | 18.6054i | 1.78729 | − | 0.650521i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −19.6203 | − | 23.3826i | −0.685171 | − | 0.816555i | ||||
\(821\) | −21.6166 | −0.754425 | −0.377212 | − | 0.926127i | \(-0.623117\pi\) | ||||
−0.377212 | + | 0.926127i | \(0.623117\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −27.4492 | −0.956821 | −0.478410 | − | 0.878136i | \(-0.658787\pi\) | ||||
−0.478410 | + | 0.878136i | \(0.658787\pi\) | |||||||
\(824\) | −11.3659 | + | 19.6863i | −0.395950 | + | 0.685805i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.98421 | − | 19.1446i | −0.347395 | − | 0.666126i | ||||
\(827\) | 21.9552 | 0.763456 | 0.381728 | − | 0.924275i | \(-0.375329\pi\) | ||||
0.381728 | + | 0.924275i | \(0.375329\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.72291 | −0.164034 | −0.0820168 | − | 0.996631i | \(-0.526136\pi\) | ||||
−0.0820168 | + | 0.996631i | \(0.526136\pi\) | |||||||
\(830\) | 6.44806 | + | 17.7159i | 0.223816 | + | 0.614928i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 16.3218 | + | 28.2701i | 0.565856 | + | 0.980091i | ||||
\(833\) | 22.0463 | − | 5.94257i | 0.763861 | − | 0.205898i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 7.43383i | − | 0.257258i | ||||||
\(836\) | −40.1454 | + | 33.6860i | −1.38846 | + | 1.16505i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 47.3179 | − | 17.2223i | 1.63457 | − | 0.594935i | ||||
\(839\) | −7.41856 | −0.256117 | −0.128059 | − | 0.991767i | \(-0.540875\pi\) | ||||
−0.128059 | + | 0.991767i | \(0.540875\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 8.03508 | 0.277072 | ||||||||
\(842\) | −21.5976 | + | 7.86090i | −0.744304 | + | 0.270905i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 8.44326 | + | 10.0623i | 0.290629 | + | 0.346358i | ||||
\(845\) | − | 6.87390i | − | 0.236469i | ||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.234422 | − | 1.77041i | −0.00805485 | − | 0.0608320i | ||||
\(848\) | 8.09656 | − | 45.9179i | 0.278037 | − | 1.57683i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.29303 | − | 6.30005i | −0.0786503 | − | 0.216090i | ||||
\(851\) | −0.481697 | −0.0165124 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −24.5736 | −0.841384 | −0.420692 | − | 0.907203i | \(-0.638213\pi\) | ||||
−0.420692 | + | 0.907203i | \(0.638213\pi\) | |||||||
\(854\) | −28.5104 | + | 14.8686i | −0.975607 | + | 0.508794i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.05880 | − | 1.76600i | −0.104548 | − | 0.0603606i | ||||
\(857\) | −19.8886 | −0.679381 | −0.339691 | − | 0.940537i | \(-0.610322\pi\) | ||||
−0.339691 | + | 0.940537i | \(0.610322\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −47.1470 | −1.60863 | −0.804317 | − | 0.594200i | \(-0.797469\pi\) | ||||
−0.804317 | + | 0.594200i | \(0.797469\pi\) | |||||||
\(860\) | −21.3609 | + | 17.9239i | −0.728401 | + | 0.611201i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 41.7229 | − | 15.1859i | 1.42109 | − | 0.517233i | ||||
\(863\) | 35.9520i | 1.22382i | 0.790927 | + | 0.611910i | \(0.209599\pi\) | ||||
−0.790927 | + | 0.611910i | \(0.790401\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 48.1694 | 1.63781 | ||||||||
\(866\) | 12.2607 | − | 4.46252i | 0.416635 | − | 0.151643i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 28.7076 | − | 31.3758i | 0.974400 | − | 1.06497i | ||||
\(869\) | 38.2434 | 1.29732 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 17.7787i | − | 0.602408i | ||||||
\(872\) | 10.1124 | − | 17.5151i | 0.342448 | − | 0.593137i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.66332 | − | 0.969369i | 0.0900881 | − | 0.0327894i | ||||
\(875\) | −31.8764 | + | 4.22080i | −1.07762 | + | 0.142689i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − | 10.1090i | − | 0.341357i | −0.985327 | − | 0.170678i | \(-0.945404\pi\) | ||
0.985327 | − | 0.170678i | \(-0.0545959\pi\) | |||||||
\(878\) | −28.3321 | + | 10.3120i | −0.956161 | + | 0.348014i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −25.3483 | − | 4.46958i | −0.854490 | − | 0.150670i | ||||
\(881\) | −16.3094 | −0.549479 | −0.274739 | − | 0.961519i | \(-0.588592\pi\) | ||||
−0.274739 | + | 0.961519i | \(0.588592\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 33.6603i | − | 1.13276i | −0.824145 | − | 0.566379i | \(-0.808344\pi\) | ||
0.824145 | − | 0.566379i | \(-0.191656\pi\) | |||||||
\(884\) | 20.3920 | − | 17.1109i | 0.685858 | − | 0.575503i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 15.8357 | + | 43.5083i | 0.532012 | + | 1.46169i | ||||
\(887\) | 41.5163 | 1.39398 | 0.696990 | − | 0.717081i | \(-0.254522\pi\) | ||||
0.696990 | + | 0.717081i | \(0.254522\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.202029 | + | 1.52577i | 0.00677583 | + | 0.0511725i | ||||
\(890\) | −33.1780 | + | 12.0758i | −1.11213 | + | 0.404782i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −5.11697 | − | 6.09817i | −0.171329 | − | 0.204182i | ||||
\(893\) | 19.7580 | 0.661177 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 36.6437i | − | 1.22486i | ||||||
\(896\) | 25.2574 | + | 16.0643i | 0.843792 | + | 0.536670i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −13.5544 | + | 4.93339i | −0.452315 | + | 0.164629i | ||||
\(899\) | 48.9097i | 1.63123i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −38.0224 | −1.26671 | ||||||||
\(902\) | −13.3935 | − | 36.7984i | −0.445956 | − | 1.22525i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 15.6459 | − | 27.0995i | 0.520375 | − | 0.901316i | ||||
\(905\) | 17.7159i | 0.588897i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 50.8731i | − | 1.68921i | −0.535388 | − | 0.844606i | \(-0.679835\pi\) | ||
0.535388 | − | 0.844606i | \(-0.320165\pi\) | |||||||
\(908\) | −27.0978 | − | 32.2939i | −0.899273 | − | 1.07171i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −13.2956 | − | 25.4941i | −0.440744 | − | 0.845121i | ||||
\(911\) | − | 46.9388i | − | 1.55515i | −0.628788 | − | 0.777577i | \(-0.716449\pi\) | ||
0.628788 | − | 0.777577i | \(-0.283551\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 24.1870i | 0.800474i | ||||||||
\(914\) | −1.93476 | − | 5.31570i | −0.0639961 | − | 0.175828i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −17.2467 | + | 14.4717i | −0.569848 | + | 0.478159i | ||||
\(917\) | −23.8230 | + | 3.15443i | −0.786704 | + | 0.104169i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −19.5039 | −0.643375 | −0.321688 | − | 0.946846i | \(-0.604250\pi\) | ||||
−0.321688 | + | 0.946846i | \(0.604250\pi\) | |||||||
\(920\) | 1.20554 | + | 0.696022i | 0.0397456 | + | 0.0229472i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 14.3634 | − | 5.22786i | 0.473034 | − | 0.172170i | ||||
\(923\) | 31.6818i | 1.04282i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 2.67885i | − | 0.0880802i | ||||||
\(926\) | −11.2990 | − | 31.0438i | −0.371309 | − | 1.02016i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −33.9026 | + | 5.97794i | −1.11291 | + | 0.196236i | ||||
\(929\) | 34.6178 | 1.13577 | 0.567886 | − | 0.823107i | \(-0.307761\pi\) | ||||
0.567886 | + | 0.823107i | \(0.307761\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −51.8311 | + | 13.9710i | −1.69870 | + | 0.457882i | ||||
\(932\) | 35.9868 | + | 42.8874i | 1.17879 | + | 1.40482i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −25.2367 | + | 9.18541i | −0.825770 | + | 0.300556i | ||||
\(935\) | 20.9897i | 0.686436i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 45.0173i | 1.47065i | 0.677715 | + | 0.735325i | \(0.262970\pi\) | ||||
−0.677715 | + | 0.735325i | \(0.737030\pi\) | |||||||
\(938\) | −7.53849 | − | 14.4550i | −0.246140 | − | 0.471971i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 6.23772 | + | 7.43383i | 0.203452 | + | 0.242465i | ||||
\(941\) | − | 10.2701i | − | 0.334794i | −0.985890 | − | 0.167397i | \(-0.946464\pi\) | ||
0.985890 | − | 0.167397i | \(-0.0535362\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 2.11787i | 0.0689674i | ||||||||
\(944\) | −22.7318 | − | 4.00823i | −0.739857 | − | 0.130457i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −33.6168 | + | 12.2355i | −1.09298 | + | 0.397811i | ||||
\(947\) | −20.8015 | −0.675959 | −0.337980 | − | 0.941153i | \(-0.609744\pi\) | ||||
−0.337980 | + | 0.941153i | \(0.609744\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 18.8231i | 0.611024i | ||||||||
\(950\) | 5.39093 | + | 14.8115i | 0.174905 | + | 0.480547i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 9.32438 | − | 22.5586i | 0.302205 | − | 0.731129i | ||||
\(953\) | − | 4.88379i | − | 0.158202i | −0.996867 | − | 0.0791008i | \(-0.974795\pi\) | ||
0.996867 | − | 0.0791008i | \(-0.0252049\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.80313 | −0.220144 | ||||||||
\(956\) | −13.5649 | − | 16.1660i | −0.438719 | − | 0.522845i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −17.5086 | − | 48.1045i | −0.565677 | − | 1.55419i | ||||
\(959\) | 0.238053 | − | 0.0315210i | 0.00768715 | − | 0.00101787i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −33.5918 | −1.08361 | ||||||||
\(962\) | 9.99500 | − | 3.63788i | 0.322252 | − | 0.117290i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −7.55716 | − | 9.00627i | −0.243400 | − | 0.290073i | ||||
\(965\) | − | 26.5525i | − | 0.854754i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −6.62092 | −0.212914 | −0.106457 | − | 0.994317i | \(-0.533951\pi\) | ||||
−0.106457 | + | 0.994317i | \(0.533951\pi\) | |||||||
\(968\) | −1.65339 | − | 0.954583i | −0.0531419 | − | 0.0306815i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 13.7588 | + | 37.8019i | 0.441767 | + | 1.21375i | ||||
\(971\) | − | 6.92094i | − | 0.222103i | −0.993815 | − | 0.111052i | \(-0.964578\pi\) | ||
0.993815 | − | 0.111052i | \(-0.0354219\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1.84992 | − | 13.9710i | −0.0593058 | − | 0.447890i | ||||
\(974\) | −12.1497 | − | 33.3811i | −0.389302 | − | 1.06960i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −5.96911 | + | 33.8525i | −0.191067 | + | 1.08359i | ||||
\(977\) | 39.4468i | 1.26202i | 0.775777 | + | 0.631008i | \(0.217358\pi\) | ||||
−0.775777 | + | 0.631008i | \(0.782642\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −45.2971 | −1.44770 | ||||||||
\(980\) | −21.6199 | − | 15.0904i | −0.690623 | − | 0.482045i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 7.00269 | + | 19.2397i | 0.223465 | + | 0.613964i | ||||
\(983\) | −3.94734 | −0.125900 | −0.0629502 | − | 0.998017i | \(-0.520051\pi\) | ||||
−0.0629502 | + | 0.998017i | \(0.520051\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 32.2910i | 1.02888i | ||||||||
\(986\) | 9.60157 | + | 26.3801i | 0.305776 | + | 0.840114i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −47.9418 | + | 40.2280i | −1.52523 | + | 1.27982i | ||||
\(989\) | 1.93476 | 0.0615217 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 43.5621 | 1.38380 | 0.691898 | − | 0.721995i | \(-0.256775\pi\) | ||||
0.691898 | + | 0.721995i | \(0.256775\pi\) | |||||||
\(992\) | −7.89467 | − | 44.7729i | −0.250656 | − | 1.42154i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 13.4337 | + | 25.7589i | 0.426090 | + | 0.817023i | ||||
\(995\) | 20.3920 | 0.646471 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −52.4143 | −1.65998 | −0.829988 | − | 0.557781i | \(-0.811653\pi\) | ||||
−0.829988 | + | 0.557781i | \(0.811653\pi\) | |||||||
\(998\) | −5.37808 | + | 1.95746i | −0.170240 | + | 0.0619623i | ||||
\(999\) | 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 | 504.2.i.b.125.15 | yes | 24 | |
3.2 | odd | 2 | inner | 504.2.i.b.125.10 | yes | 24 | |
4.3 | odd | 2 | 2016.2.i.b.881.1 | 24 | |||
7.6 | odd | 2 | inner | 504.2.i.b.125.16 | yes | 24 | |
8.3 | odd | 2 | 2016.2.i.b.881.24 | 24 | |||
8.5 | even | 2 | inner | 504.2.i.b.125.12 | yes | 24 | |
12.11 | even | 2 | 2016.2.i.b.881.14 | 24 | |||
21.20 | even | 2 | inner | 504.2.i.b.125.9 | ✓ | 24 | |
24.5 | odd | 2 | inner | 504.2.i.b.125.13 | yes | 24 | |
24.11 | even | 2 | 2016.2.i.b.881.11 | 24 | |||
28.27 | even | 2 | 2016.2.i.b.881.12 | 24 | |||
56.13 | odd | 2 | inner | 504.2.i.b.125.11 | yes | 24 | |
56.27 | even | 2 | 2016.2.i.b.881.13 | 24 | |||
84.83 | odd | 2 | 2016.2.i.b.881.23 | 24 | |||
168.83 | odd | 2 | 2016.2.i.b.881.2 | 24 | |||
168.125 | even | 2 | inner | 504.2.i.b.125.14 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.i.b.125.9 | ✓ | 24 | 21.20 | even | 2 | inner | |
504.2.i.b.125.10 | yes | 24 | 3.2 | odd | 2 | inner | |
504.2.i.b.125.11 | yes | 24 | 56.13 | odd | 2 | inner | |
504.2.i.b.125.12 | yes | 24 | 8.5 | even | 2 | inner | |
504.2.i.b.125.13 | yes | 24 | 24.5 | odd | 2 | inner | |
504.2.i.b.125.14 | yes | 24 | 168.125 | even | 2 | inner | |
504.2.i.b.125.15 | yes | 24 | 1.1 | even | 1 | trivial | |
504.2.i.b.125.16 | yes | 24 | 7.6 | odd | 2 | inner | |
2016.2.i.b.881.1 | 24 | 4.3 | odd | 2 | |||
2016.2.i.b.881.2 | 24 | 168.83 | odd | 2 | |||
2016.2.i.b.881.11 | 24 | 24.11 | even | 2 | |||
2016.2.i.b.881.12 | 24 | 28.27 | even | 2 | |||
2016.2.i.b.881.13 | 24 | 56.27 | even | 2 | |||
2016.2.i.b.881.14 | 24 | 12.11 | even | 2 | |||
2016.2.i.b.881.23 | 24 | 84.83 | odd | 2 | |||
2016.2.i.b.881.24 | 24 | 8.3 | odd | 2 |